Finite Group Databasebeta

← #30563036

Subgroups — #30563036

Order 15616.

1794 conjugacy classes of subgroups.

The subgroup lattice has 1696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459919C211yesmaximal, characteristic, complemented
2#21459882C211yesmaximal, characteristic, complemented
3#21458890C211yesmaximal, characteristic, complemented
4#21458759C211yesmaximal, characteristic, complemented
5#21458503C211yesmaximal, characteristic, complemented
6#21458482C211yesmaximal, characteristic, complemented
7#21458375C211yesmaximal, characteristic, complemented
8#21458345C211yesmaximal, characteristic, complemented
9#21457756C211yesmaximal, characteristic, complemented
10#21457741C211yesmaximal, characteristic, complemented
11#21457715C211yesmaximal, characteristic, complemented
12#21457704C211yesmaximal, characteristic, complemented
13#21457672C211yesmaximal, characteristic, complemented
14#21457657C211yesmaximal, characteristic, complemented
15#21457457C211yesmaximal, characteristic, complemented
16#21457379C211yesmaximal, characteristic, complemented
17#21457356C211yesmaximal, characteristic, complemented
18#21456503C211yesmaximal, characteristic, complemented
19#21456492C211yesmaximal, characteristic, complemented
20#21456384C211yesmaximal, characteristic, complemented
21#21456043C211yesmaximal, characteristic, complemented
22#21456038C211yesmaximal, characteristic, complemented
23#21456021C211yesmaximal, characteristic, complemented
24#21456010C211yesmaximal, characteristic, complemented
25#21455923C211yesmaximal, characteristic, complemented
26#21455923C211yesmaximal, characteristic, complemented
27#21454789C211yesmaximal, characteristic, complemented
28#21454660C211yesmaximal, characteristic, complemented
29#21454648C211yesmaximal, characteristic, complemented
30#21454590C211yesmaximal, characteristic, complemented
31C61×#3347C211yesmaximal, characteristic, complemented
32C2×#14519810C2211yescharacteristic
33C2×#14519801C2211yescharacteristic
34C2×#14519799C2211yescharacteristic
35#16840495C2211yescharacteristic, complemented
36#16840494—21no—
37#16840487C2211yescharacteristic, complemented
38#16840482C2211yescharacteristic
39#16840480C2211yescharacteristic
40#16840474—21no—
41#16840468C2211yescharacteristic
42#16840459—21no—
43#16840456C2211yescharacteristic
44#16840455—21no—
45#16840451C2211yescharacteristic
46#16840448—21no—
47#16840447C2211yescharacteristic
48#16840445—21no—
49#16840441—21no—
50#16840435—21no—
51#16840430C2211yescharacteristic
52#16840421C2211yescharacteristic, complemented
53#16840418C2211yescharacteristic
54#16840417C2211yescharacteristic
55#16840409C2211yescharacteristic
56#16840409C2211yescharacteristic
57#16840386C2211yescharacteristic
58#16840379C2211yescharacteristic
59#16840376—21no—
60#16840375C2211yescharacteristic
61#16840365C2211yescharacteristic, complemented
62#16840362—21no—
63#16840355—21no—
64#16840344—21no—
65#16840294—21no—
66#16840293C2211yescharacteristic
67#16840293C2211yescharacteristic, complemented
68#16840292C2211yescharacteristic
69#16840291—21no—
70#16840290—21no—
71#126×D61—21no—
72#16840243C2211yescharacteristic
73#16840241C2211yescharacteristic
74#16840239C2211yescharacteristic, complemented
75#16840234C2211yescharacteristic
76#16840230C2211yescharacteristic
77#16840230C2211yescharacteristic, complemented
78#16840169C2211yescharacteristic, complemented
79#16840163C2211yescharacteristic, complemented
80#16840156C2211yescharacteristic, complemented
81#16840150C2211yescharacteristic
82#16840145C2211yescharacteristic
83#16840119C2211yescharacteristic, complemented
84#16840115C2211yescharacteristic
85#16840115C2211yescharacteristic
86#16840115C2211yescharacteristic, complemented
87#16840114C2211yescharacteristic, complemented
88#16840107C2211yescharacteristic, complemented
89#16840105C2211yescharacteristic
90#16840103C2211yescharacteristic, complemented
91#16840103C2211yescharacteristic, complemented
92#16840103C2211yescharacteristic, complemented
93#16840099C2211yescharacteristic
94#16840094C2211yescharacteristic
95#16840089C2211yescharacteristic
96#16840080C2211yescharacteristic, complemented
97#16840068C2211yescharacteristic, complemented
98#16840068C2211yescharacteristic, complemented
99#16840068C2211yescharacteristic, complemented
100#16840066C2211yescharacteristic, complemented
101#16840065C2211yescharacteristic
102#16840061C2211yescharacteristic
103#16840061C2211yescharacteristic, complemented
104#16840056C2211yescharacteristic, complemented
105#16840049C2211yescharacteristic
106#16840046C2211yescharacteristic, complemented
107#16840021C2211yescharacteristic
108#16840009C2211yescharacteristic
109#16840008C2211yescharacteristic, complemented
110#16840004C2211yescharacteristic
111#16840003C2211yescharacteristic, complemented
112#16839996C2211yescharacteristic
113#16839992C2211yescharacteristic
114#16839989C2211yescharacteristic
115#16839989C2211yescharacteristic, complemented
116#16839989C2211yescharacteristic, complemented
117#16839983C2211yescharacteristic
118#16839983C2211yescharacteristic
119#16839983C2211yescharacteristic
120#16839983C2211yescharacteristic, complemented
121#16839978C2211yescharacteristic
122#16839977C2211yescharacteristic
123#16839976C2211yescharacteristic
124#16839976C2211yescharacteristic
125#16839973C2211yescharacteristic, complemented
126#16839967C2211yescharacteristic, complemented
127#16839961C2211yescharacteristic, complemented
128#16839956C2211yescharacteristic
129#16839926C2211yescharacteristic
130#16839926C2211yescharacteristic, complemented
131#16839925C2211yescharacteristic
132#16839925C2211yescharacteristic
133#16839920C2211yescharacteristic, complemented
134#16839914C2211yescharacteristic
135#16839909C2211yescharacteristic
136#16839905C2211yescharacteristic
137#16839905C2211yescharacteristic
138#16839905C2211yescharacteristic
139#16839900C2211yescharacteristic
140#16839897C2211yescharacteristic
141#16839890C2211yescharacteristic, complemented
142#16839886C2211yescharacteristic, complemented
143#16839871C2211yescharacteristic
144#16839871C2211yescharacteristic
145#16839868C2211yescharacteristic, complemented
146#16839868C2211yescharacteristic, complemented
147#16839868C2211yescharacteristic, complemented
148#16839864C2211yescharacteristic
149#16839861C2211yescharacteristic
150#16839861C2211yescharacteristic
151#16839861C2211yescharacteristic, complemented
152#16839859C2211yescharacteristic
153#16839859C2211yescharacteristic, complemented
154#16839856C2211yescharacteristic, complemented
155#16839856C2211yescharacteristic, complemented
156#16839856C2211yescharacteristic, complemented
157#16839856C2211yescharacteristic, complemented
158#16839853C2211yescharacteristic
159#16839853C2211yescharacteristic, complemented
160#16839849C2211yescharacteristic
161#16839849C2211yescharacteristic
162#16839849C2211yescharacteristic
163#16839849C2211yescharacteristic, complemented
164#16839849C2211yescharacteristic, complemented
165C4×#11758200C2211yescharacteristic
166D8×Dic61C2211yescharacteristic
167#16839844C2211yescharacteristic
168#16839844C2211yescharacteristic
169C4×#11758199C2211yescharacteristic
170#16839838C2211yescharacteristic
171#16839833C2211yescharacteristic
172D4×#92418C2211yescharacteristic, complemented
173#16839825C2211yescharacteristic
174#16839825C2211yescharacteristic
175#16839822C2211yescharacteristic
176#16839820C2211yescharacteristic, complemented
177#16839816C2211yescharacteristic, complemented
178#16839801C2211yescharacteristic
179#16839756C2211yescharacteristic
180#16839756C2211yescharacteristic
181#16839756C2211yescharacteristic, complemented
182#16839755C2211yescharacteristic
183C2×#14519700C2211yescharacteristic, complemented
184#102×D61C2211yescharacteristic
185#16839720C2211yescharacteristic, complemented
186#16839719C2211yescharacteristic
187C2×C8×Dic61C2211yescharacteristic, complemented
188C61×#555C2211yescharacteristic, complemented
189C61×#553C2211yescharacteristic
190C61×#501C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic
192C61×#482C2211yescharacteristic
193C61×#482C2211yescharacteristic, complemented
194C61×#480C2211yescharacteristic, complemented
195C61×#478C2211yescharacteristic, complemented
196C61×#474C2211yescharacteristic
197C61×#469C2211yescharacteristic
198C61×#466C2211yescharacteristic
199C61×#442C2211yescharacteristic
200C61×#435C2211yescharacteristic, complemented
201C61×#428C2211yescharacteristic, complemented
202C61×#427C2211yescharacteristic, complemented
203C2×#11758222C2311yescharacteristic
204C2×#11758222C2311yescharacteristic
205C2×#11758222C2311yescharacteristic
206C2×#11758224C2311yescharacteristic
207C22×Dic122C2311yescharacteristic
208C2×D4×D61C2311yescharacteristic
209#14519810—24no—
210#14519801—24no—
211#14519799—24no—
212C2×Dic244C2311yescharacteristic
213C2×Dic244C2311yescharacteristic
214C2×Dic244C2311yescharacteristic
215C2×Dic244C2311yescharacteristic
216C2×#11758190C2311yescharacteristic
217C2×#11758190C2311yescharacteristic
218C2×#11758190C2311yescharacteristic
219C2×#11758190C2311yescharacteristic
220C2×#11758200C2311yescharacteristic
221C2×#11758200C2311yescharacteristic
222C2×#11758200C2311yescharacteristic
223C2×#11758200C2311yescharacteristic
224C2×D488C2311yescharacteristic
225C2×#11758199C2311yescharacteristic
226C2×#11758199C2311yescharacteristic
227C2×#11758189C2311yescharacteristic
228C22×#92418C2311yescharacteristic
229C22×#92418C2311yescharacteristic
230C2×C8×D61C2311yescharacteristic
231#14519777C2311yescharacteristic
232#14519776C2311yescharacteristic
233#14519775—21no—
234#14519773—21no—
235#14519773C2311yescharacteristic
236#14519772—21no—
237#14519772—21no—
238#14519772—21no—
239#14519772—21no—
240#14519772D411yescharacteristic
241#14519771—21no—
242#14519771—21no—
243#14519770—21no—
244#14519770—21no—
245#14519770—21no—
246#14519770—21no—
247#14519770—21no—
248#14519770—21no—
249#14519770—21no—
250#14519770D411yescharacteristic
251#14519769—21no—
252#14519768—21no—
253#14519768—21no—
254#14519768C2311yescharacteristic
255#14519768C2311yescharacteristic
256#14519768C2311yescharacteristic
257#14519767—21no—
258#14519767—21no—
259#14519767—21no—
260#14519767D411yescharacteristic
261#14519766—21no—
262#14519765C2311yescharacteristic
263#14519764—21no—
264#14519764C2311yescharacteristic
265#14519764C2311yescharacteristic
266#14519764C2311yescharacteristic
267#14519763—21no—
268#14519763—21no—
269#14519763—21no—
270#14519763—21no—
271#14519763D411yescharacteristic
272#14519762—21no—
273#14519761—21no—
274#14519761D411yescharacteristic
275#14519760—21no—
276#14519760—21no—
277#14519759—21no—
278#14519759—21no—
279#14519759—21no—
280#14519759—21no—
281#14519759—21no—
282#14519759—21no—
283#14519759—21no—
284#14519759—21no—
285#14519758—21no—
286#14519758—21no—
287#14519758—21no—
288#14519758D411yescharacteristic
289#14519757—21no—
290#14519757C2311yescharacteristic
291#14519757C2311yescharacteristic
292#14519757C2311yescharacteristic
293#14519756—21no—
294#14519756C2311yescharacteristic
295#14519756C2311yescharacteristic
296#14519756C2311yescharacteristic
297#14519755—21no—
298#14519755—21no—
299#14519755—21no—
300#14519754—21no—
301#14519754—21no—
302#14519754D411yescharacteristic
303#14519753—21no—
304#14519752C2311yescharacteristic
305#14519751C2311yescharacteristic
306#14519750—21no—
307#14519750—21no—
308#14519749—21no—
309#14519749—21no—
310#14519749—21no—
311#14519749—21no—
312#14519749D411yescharacteristic
313#14519748—21no—
314#14519748—21no—
315#14519748—21no—
316#14519748—21no—
317#14519745—21no—
318#14519745—21no—
319Q8×Dic61—21no—
320C4×Dic122—21no—
321C4×Dic122—21no—
322C4×Dic122—21no—
323C4×Dic122C2311yescharacteristic
324C4×Dic122C2311yescharacteristic
325#14519742C2311yescharacteristic
326#14519742C2311yescharacteristic
327#14519742C2311yescharacteristic
328#14519742C2311yescharacteristic
329#14519742C2311yescharacteristic
330#14519742C2311yescharacteristic
331#14519742C2311yescharacteristic
332#14519742C2311yescharacteristic
333#14519742C2311yescharacteristic
334C4×D244—21no—
335C4×D244C2311yescharacteristic
336D4×Dic61—21no—
337D4×Dic61—21no—
338D4×Dic61—21no—
339D4×Dic61C2311yescharacteristic
340D4×Dic61C2311yescharacteristic
341#14519739C2311yescharacteristic
342#14519739C2311yescharacteristic
343#14519739C2311yescharacteristic
344#14519739C2311yescharacteristic
345#14519739C2311yescharacteristic
346C4×C22⋊D61—21no—
347C4×C22⋊D61—21no—
348C4×C22⋊D61—21no—
349C4×C22⋊D61—21no—
350C4×C22⋊D61—21no—
351C4×C22⋊D61C2311yescharacteristic
352C4×C22⋊D61C2311yescharacteristic
353#14519737—21no—
354#14519737—21no—
355#14519737—21no—
356#14519737—21no—
357#14519737—21no—
358#14519737—21no—
359#14519737—21no—
360#14519737—21no—
361#14519736—21no—
362#14519736—21no—
363#14519736C2311yescharacteristic
364#14519735—21no—
365#14519735C2311yescharacteristic
366#14519734—21no—
367#14519734—21no—
368#14519734—21no—
369#14519734C2311yescharacteristic
370#14519733—21no—
371#14519733—21no—
372#14519733—21no—
373#14519733—21no—
374#14519733—21no—
375C2×#11758196—21no—
376C4⋊C4×D61—21no—
377C4⋊C4×D61—21no—
378C4⋊C4×D61—21no—
379C4⋊C4×D61C2311yescharacteristic
380C2×#11758198—21no—
381C22⋊C4×D61—21no—
382C22⋊C4×D61—21no—
383C22⋊C4×D61—21no—
384C2×C4×Dic61C2311yescharacteristic
385C42×D61—21no—
386C42×D61—21no—
387#14519711C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519708C2311yescharacteristic
391#14519708C2311yescharacteristic
392#14519708C2311yescharacteristic
393#14519708C2311yescharacteristic
394C4⋊#92418C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519700C2311yescharacteristic
404#14519700C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519698C2311yescharacteristic
418#14519698C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425C22⋊#92418C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432C4×#92418C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C2×D8×C61C2311yescharacteristic
439C2×M16×C61C2311yescharacteristic
440C22×C8×C61C2311yescharacteristic
441C4⋊Q8×C61C2311yescharacteristic
442#126×C61—21no—
443#125×C61C2311yescharacteristic
444#124×C61—21no—
445#124×C61—21no—
446#123×C61—21no—
447#121×C61—21no—
448#121×C61—21no—
449#121×C61C2311yescharacteristic
450#121×C61C2311yescharacteristic
451#121×C61C2311yescharacteristic
452#121×C61C2311yescharacteristic
453C4×D4×C61—21no—
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456C4×D4×C61C2311yescharacteristic
457#117×C61—21no—
458#117×C61C2311yescharacteristic
459#117×C61C2311yescharacteristic
460#117×C61C2311yescharacteristic
461C2×C4⋊C4×C61C2311yescharacteristic
462#107×C61C2311yescharacteristic
463#107×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465#107×C61C2311yescharacteristic
466#107×C61C2311yescharacteristic
467#106×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470#106×C61C2311yescharacteristic
471C4⋊C8×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474#102×C61C2311yescharacteristic
475#102×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478C22⋊C8×C61C2311yescharacteristic
479C22⋊C8×C61C2311yescharacteristic
480#97×C61C2311yescharacteristic
481C23×D61—21no—
482C2×Q8×C61—21no—
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61C2×D411yescharacteristic
488C2×D4×C61C2411yescharacteristic
489C2×D4×C61C2411yescharacteristic
490C22×C4×C61—21no—
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61C2411yescharacteristic
494C22×C4×C61C2411yescharacteristic
495C2×C22⋊D61—21no—
496C2×C22⋊D61—21no—
497C2×C22⋊D61—21no—
498C2×C22⋊D61—21no—
499C2×C22⋊D61—21no—
500C2×C22⋊D61—21no—
501C2×C22⋊D61—21no—
502C2×C22⋊D61—21no—
503C2×C22⋊D61C2×D411yescharacteristic
504C2×C22⋊D61C2×D411yescharacteristic
505C22×Dic61—21no—
506C22×Dic61—21no—
507C22×Dic61—21no—
508C22×Dic61—21no—
509C22×Dic61C2×D411yescharacteristic
510C22×Dic61C2×D411yescharacteristic
511#11758224—22no—
512#11758224—41no—
513D4×D61—22no—
514D4×D61—41no—
515#11758222—22no—
516#11758222—22no—
517#11758222—22no—
518#11758222—41no—
519#11758222—41no—
520#11758222—41no—
521C2×D244—21no—
522C2×D244C2411yescharacteristic
523C2×D244C2411yescharacteristic
524C2×C4×D61—21no—
525C2×C4×D61—21no—
526C2×C4×D61—21no—
527C2×C4×D61—21no—
528C2×C4×D61—21no—
529C2×C4×D61—21no—
530C2×C4×D61—21no—
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
534C2×C4×D61C2411yescharacteristic
535C2×Dic122—22no—
536C2×Dic122—21no—
537C2×Dic122—21no—
538C2×Dic122—41no—
539C2×Dic122C2×D411yescharacteristic
540C2×Dic122C2411yescharacteristic
541C2×Dic122C2411yescharacteristic
542C2×Dic122C2411yescharacteristic
543C2×Dic122C2411yescharacteristic
544D8×C61—22no—
545M16×C61—22no—
546C2×C8×C61—22no—
547C2×C8×C61C2411yescharacteristic
548C2×C8×C61C2411yescharacteristic
549C2×C8×C61C2411yescharacteristic
550C2×C8×C61C2411yescharacteristic
551C4⋊C4×C61—21no—
552C4⋊C4×C61—21no—
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61C2×D411yescharacteristic
556C4⋊C4×C61C2411yescharacteristic
557C4⋊C4×C61C2411yescharacteristic
558C4⋊C4×C61C2411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C22⋊C4×C61—21no—
563C22⋊C4×C61—21no—
564C22⋊C4×C61—21no—
565C22⋊C4×C61—21no—
566C22⋊C4×C61—21no—
567C22⋊C4×C61—21no—
568C22⋊C4×C61—21no—
569C22⋊C4×C61—21no—
570C22⋊C4×C61—21no—
571C22⋊C4×C61C2×D411yescharacteristic
572C22⋊C4×C61C2×D411yescharacteristic
573C42×C61—21no—
574C42×C61—21no—
575C42×C61—21no—
576C42×C61C2411yescharacteristic
577C22⋊Dic61—21no—
578C22⋊Dic61—21no—
579C22⋊Dic61—21no—
580C22⋊Dic61—21no—
581C22⋊Dic61—21no—
582C22⋊Dic61—21no—
583C22⋊Dic61—21no—
584C22⋊Dic61—21no—
585C22⋊Dic61—21no—
586C22⋊Dic61—21no—
587C22⋊Dic61—21no—
588C22⋊Dic61C2×D411yescharacteristic
589C22⋊Dic61C2×D411yescharacteristic
590C22⋊Dic61C2×D411yescharacteristic
591C22⋊Dic61C2×D411yescharacteristic
592#11758200—22no—
593#11758200—41no—
594#11758200—41no—
595#11758200—41no—
596#11758199—22no—
597#11758199—41no—
598#11758198—21no—
599#11758198—21no—
600#11758198—21no—
601#11758198—21no—
602#11758198—21no—
603#11758198—21no—
604#11758198—21no—
605#11758198—21no—
606#11758198—21no—
607#11758198—21no—
608#11758198—21no—
609#11758198—21no—
610#11758198—21no—
611#11758198—21no—
612#11758198C2×D411yescharacteristic
613#11758198C2×D411yescharacteristic
614#11758198C2×D411yescharacteristic
615#11758198C2×D411yescharacteristic
616C4⋊Dic61—21no—
617C4⋊Dic61—21no—
618C4⋊Dic61—21no—
619C4⋊Dic61—21no—
620C4⋊Dic61—21no—
621C4⋊Dic61—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61—21no—
624C4⋊Dic61C2×D411yescharacteristic
625C4⋊Dic61C2×D411yescharacteristic
626C4⋊Dic61C2×D411yescharacteristic
627C4⋊Dic61C2411yescharacteristic
628C4⋊Dic61C2411yescharacteristic
629#11758196—21no—
630#11758196—21no—
631#11758196—21no—
632#11758196—21no—
633#11758196—21no—
634#11758196—21no—
635#11758196—21no—
636#11758196—21no—
637#11758196—21no—
638#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#11758196C2×D411yescharacteristic
648#11758196C2×D411yescharacteristic
649#11758196C2×D411yescharacteristic
650#11758196C2×D411yescharacteristic
651#11758196C2×D411yescharacteristic
652#11758196C2×D411yescharacteristic
653C4×Dic61—21no—
654C4×Dic61—21no—
655C4×Dic61—21no—
656C4×Dic61—21no—
657C4×Dic61—21no—
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61C2×D411yescharacteristic
665C4×Dic61C2×D411yescharacteristic
666C4×Dic61C2411yescharacteristic
667C4×Dic61C2411yescharacteristic
668C4×Dic61C2411yescharacteristic
669C2×#92418—41no—
670C2×#92418—41no—
671C2×#92418C2411yescharacteristic
672C2×#92418C2411yescharacteristic
673C2×#92418C2411yescharacteristic
674C2×#92418C2411yescharacteristic
675Dic244—22no—
676Dic244—22no—
677Dic244—22no—
678Dic244—41no—
679D488—22no—
680#11758190—22no—
681#11758190—22no—
682#11758190—41no—
683#11758190#4114yes—
684#11758189—22no—
685C8×D61—41no—
686C23×C61—21no—
687C23×C61—21no—
688C23×C61C22×D411yescharacteristic
689C23×C61C22×D411yescharacteristic
690C22×D61—21no—
691C22×D61—21no—
692C22×D61—42no—
693C22×D61—81no—
694C22×D61—81no—
695C22×D61C22×D411yescharacteristic
696Q8×C61—81no—
697D4×C61—21no—
698D4×C61—21no—
699D4×C61—21no—
700D4×C61—21no—
701D4×C61—41no—
702D4×C61—81no—
703D4×C61—81no—
704D4×C61—81no—
705D4×C61—81no—
706C2×C4×C61—21no—
707C2×C4×C61—21no—
708C2×C4×C61—21no—
709C2×C4×C61—21no—
710C2×C4×C61—21no—
711C2×C4×C61—21no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—81no—
717C2×C4×C61—81no—
718C2×C4×C61—81no—
719C2×C4×C61C22×D411yescharacteristic
720C2×C4×C61C22×D411yescharacteristic
721C2×C4×C61C22×D411yescharacteristic
722C2×C4×C61C22×D411yescharacteristic
723C2×C4×C61C2511yescharacteristic
724C22⋊D61—41no—
725C22⋊D61—41no—
726C22⋊D61—42no—
727C22⋊D61—42no—
728C22⋊D61—42no—
729C22⋊D61—42no—
730C22⋊D61—42no—
731C22⋊D61—81no—
732C22⋊D61—81no—
733C22⋊D61—81no—
734C2×Dic61—21no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—41no—
741C2×Dic61—41no—
742C2×Dic61—42no—
743C2×Dic61—42no—
744C2×Dic61—81no—
745C2×Dic61—81no—
746C2×Dic61C22×D411yescharacteristic
747C2×Dic61C22×D411yescharacteristic
748C2×Dic61C22×D411yescharacteristic
749C2×Dic61C22×D411yescharacteristic
750C2×Dic61C22×D411yescharacteristic
751C2×Dic61C22×D411yescharacteristic
752C2×Dic61C22×D411yescharacteristic
753D244—21no—
754D244—21no—
755D244—21no—
756D244—81no—
757D244C2×#4112yes—
758C4×D61—21no—
759C4×D61—21no—
760C4×D61—42no—
761C4×D61—42no—
762C4×D61—42no—
763C4×D61—81no—
764C4×D61—81no—
765C4×D61—81no—
766C4×D61—81no—
767C4×D61—81no—
768C4×D61—81no—
769C4×D61—81no—
770Dic122—21no—
771Dic122—21no—
772Dic122—21no—
773Dic122—21no—
774Dic122—21no—
775Dic122—21no—
776Dic122—21no—
777Dic122—41no—
778Dic122—42no—
779Dic122—81no—
780Dic122C2×#4112yes—
781C8×C61—21no—
782C8×C61—21no—
783C8×C61—21no—
784C8×C61C2×#4112yes—
785#92418—21no—
786#92418—21no—
787#92418—21no—
788#92418—21no—
789#61500—611nomaximal, Sylow
790C22×C61—21no—
791C22×C61—21no—
792C22×C61—21no—
793C22×C61—21no—
794C22×C61—21no—
795C22×C61—21no—
796C22×C61—41no—
797C22×C61—41no—
798C22×C61—41no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61C23×D411yescharacteristic
803C2×D61—21no—
804C2×D61—21no—
805C2×D61—21no—
806C2×D61—22no—
807C2×D61—41no—
808C2×D61—41no—
809C2×D61—41no—
810C2×D61—41no—
811C2×D61—41no—
812C2×D61—162no—
813C4×C61—21no—
814C4×C61—21no—
815C4×C61—21no—
816C4×C61—21no—
817C4×C61—41no—
818C4×C61—41no—
819C4×C61—41no—
820C4×C61—41no—
821C4×C61—41no—
822C4×C61—41no—
823C4×C61C22×#4111yescharacteristic
824C4×C61#58511yescharacteristic
825Dic61—21no—
826Dic61—21no—
827Dic61—21no—
828Dic61—21no—
829Dic61—21no—
830Dic61—21no—
831Dic61—22no—
832Dic61—21no—
833Dic61—41no—
834Dic61—41no—
835Dic61—41no—
836Dic61—41no—
837Dic61—41no—
838#3524—611no—
839#3521—611no—
840#3401—611no—
841#3388—611no—
842#3364—611no—
843#3361—611no—
844#3351—611no—
845#3349—611no—
846#3347D6111yescharacteristic, complemented
847#3304—611no—
848#3303—611no—
849#3301—611no—
850#3300—611no—
851#3297—611no—
852#3296—611no—
853#3275—611no—
854#3269—611no—
855#3268—611no—
856#3179—611no—
857#3178—611no—
858#3168—611no—
859#3121—611no—
860#3120—611no—
861#3119—611no—
862#3118—611no—
863#3111—611no—
864#3111—611no—
865#2966—611no—
866#2947—611no—
867#2946—611no—
868C4×#135—611no—
869C2×C61—41no—
870C2×C61—41no—
871C2×C61—81no—
872C2×C61—81no—
873C2×C61D4×#4111yescharacteristic
874C2×C61#358411yescharacteristic
875C2×C61#358411yescharacteristic
876D61—41no—
877D61—42no—
878D61—81no—
879C2×#137—611no—
880C2×AGL(1,ℤ/8)—611no—
881C2×#135—611no—
882#559—611no—
883#559—1221no—
884#557—611no—
885#556—611no—
886#556—611no—
887#555—1221no—
888#555C2×D6111yescharacteristic, complemented
889#554—611no—
890#553—611no—
891#553—1221no—
892#553—1221no—
893#553C2×D6111yescharacteristic
894#552—611no—
895#552—611no—
896#552—1221no—
897#552—1221no—
898#551—1221no—
899#551—1221no—
900#550—611no—
901#548—611no—
902#548—611no—
903#547—611no—
904#546—611no—
905#546—611no—
906#542—611no—
907#542—611no—
908#542—1221no—
909#541—611no—
910#540—611no—
911#540—1221no—
912#539—1221no—
913#538—1221no—
914#529—611no—
915#529—611no—
916#529—611no—
917#529—1221no—
918#529—1221no—
919#529—1221no—
920C2×#126—1221no—
921#520—611no—
922#520—611no—
923#519—611no—
924#518—611no—
925C4×#41—611no—
926C4×#41—611no—
927#501—611no—
928#501C2×D6111yescharacteristic, complemented
929#499—611no—
930#497—611no—
931#496—611no—
932#495—611no—
933#488—611no—
934#488—611no—
935#488—611no—
936#488—611no—
937#487—611no—
938#486—611no—
939#485—611no—
940#485—611no—
941#485—611no—
942#485—611no—
943#484—611no—
944#483—611no—
945#482—611no—
946#482C2×D6111yescharacteristic
947#482C2×D6111yescharacteristic
948#482C2×D6111yescharacteristic, complemented
949#481—611no—
950#480C2×D6111yescharacteristic, complemented
951#479—611no—
952#479—611no—
953#479—611no—
954#479—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478C2×D6111yescharacteristic, complemented
959#477—611no—
960#476—611no—
961#475—611no—
962#474C2×D6111yescharacteristic
963#470—611no—
964#469C2×D6111yescharacteristic
965#468—611no—
966#468—611no—
967#467—611no—
968#467—611no—
969#466—611no—
970#466C2×D6111yescharacteristic
971#465—611no—
972#465—611no—
973#465—611no—
974#465—611no—
975#464—611no—
976#464—611no—
977#464—611no—
978#464—611no—
979#463—611no—
980#463—611no—
981#463—611no—
982#463—611no—
983#462—611no—
984#461—611no—
985#460—611no—
986#459—611no—
987#452—611no—
988#452—611no—
989#452—611no—
990#452—611no—
991#451—611no—
992#450—611no—
993#449—611no—
994#449—611no—
995#449—611no—
996#449—611no—
997#448—611no—
998#447—611no—
999#446—611no—
1000C8×Q8—611no—
1001#442—611no—
1002#442—611no—
1003#442C2×D6111yescharacteristic
1004#441—611no—
1005#441—611no—
1006#441—611no—
1007#440—611no—
1008#440—611no—
1009#440—611no—
1010#440—611no—
1011#440—611no—
1012#440—611no—
1013C4×Q16—611no—
1014C4×Q16—611no—
1015C4×Q16—611no—
1016C4×Q16—611no—
1017C4×SD16—611no—
1018C4×SD16—611no—
1019C4×SD16—611no—
1020C4×SD16—611no—
1021C4×SD16—611no—
1022C4×SD16—611no—
1023C4×SD16—611no—
1024C4×SD16—611no—
1025C4×D8—611no—
1026C4×D8—611no—
1027C4×D8—611no—
1028C4×D8—611no—
1029#436—611no—
1030#435—611no—
1031#435C2×D6111yescharacteristic, complemented
1032C8×D4—611no—
1033C8×D4—611no—
1034C8×D4—611no—
1035#433—611no—
1036#433—611no—
1037#432—611no—
1038#428—611no—
1039#428C2×D6111yescharacteristic, complemented
1040#427C2×D6111yescharacteristic, complemented
1041#416—611no—
1042#416—611no—
1043#416—611no—
1044#416—611no—
1045C2×#103—611no—
1046C2×#102—611no—
1047#405—611no—
1048#405—611no—
1049C2×C4×C8—611no—
1050C61#6150011yescharacteristic, complemented, Sylow
1051C2×#41—611no—
1052C2×#41—611no—
1053C2×#41—611no—
1054C2×#41—611no—
1055C22×Q8—611no—
1056C22×D4—611no—
1057#137—1224no—
1058AGL(1,ℤ/8)—1224no—
1059#135—1224no—
1060C2×Q16—611no—
1061C2×Q16—611no—
1062C2×Q16—611no—
1063C2×Q16—611no—
1064C2×SD16—611no—
1065C2×SD16—611no—
1066C2×SD16—611no—
1067C2×SD16—611no—
1068C2×SD16—611no—
1069C2×SD16—611no—
1070C2×SD16—611no—
1071C2×SD16—611no—
1072C2×D8—611no—
1073C2×D8—611no—
1074C2×D8—611no—
1075C2×D8C22×D6111yescharacteristic
1076C2×M16—611no—
1077C2×M16C22×D6111yescharacteristic
1078C22×C8—611no—
1079C22×C8—611no—
1080C22×C8—611no—
1081C22×C8C22×D6111yescharacteristic
1082C4⋊Q8—611no—
1083C4⋊Q8—611no—
1084C4⋊Q8—1221no—
1085C4⋊Q8C22×D6111yescharacteristic
1086#127—611no—
1087#127—1221no—
1088#126—21no—
1089#126—611no—
1090#126—611no—
1091#126—1221no—
1092#126—1221no—
1093#126—1221no—
1094#126—1221no—
1095#126—1221no—
1096#126—1221no—
1097#126—1221no—
1098#126—1221no—
1099#126—1221no—
1100#126—1221no—
1101#126—1221no—
1102#126—1221no—
1103#126—1221no—
1104#125—611no—
1105#125—611no—
1106#125—611no—
1107#125—611no—
1108#125—1221no—
1109#125—1221no—
1110#125—1221no—
1111#125—1221no—
1112#125—1221no—
1113#125—1221no—
1114#125C22×D6111yescharacteristic
1115#124—21no—
1116#124—21no—
1117#124—611no—
1118#124—611no—
1119#124—611no—
1120#124—611no—
1121#124—611no—
1122#124—1221no—
1123#124—1221no—
1124#124—1221no—
1125#124—1221no—
1126#124—1221no—
1127#124—1221no—
1128#123—21no—
1129#123—611no—
1130#123—611no—
1131#123—1221no—
1132#123—1221no—
1133#123—1221no—
1134#123—1221no—
1135#123—1221no—
1136#123—1221no—
1137#123—1221no—
1138#123—1221no—
1139#123—1221no—
1140#123—1221no—
1141#123—1221no—
1142#123—1221no—
1143#123—1221no—
1144#123—1221no—
1145#123—1221no—
1146C22⋊Q8—611no—
1147C22⋊Q8—611no—
1148C22⋊Q8—611no—
1149C22⋊Q8—611no—
1150C22⋊Q8—611no—
1151C22⋊Q8—611no—
1152C22⋊Q8—611no—
1153C22⋊Q8—1221no—
1154C22⋊Q8—1221no—
1155C22⋊Q8—1221no—
1156C22⋊Q8—1221no—
1157C22⋊Q8—1221no—
1158C22⋊Q8—1221no—
1159C22⋊Q8—1221no—
1160C22⋊Q8—1221no—
1161#121—21no—
1162#121—21no—
1163#121—611no—
1164#121—611no—
1165#121—611no—
1166#121—1221no—
1167#121—1221no—
1168#121—1221no—
1169#121—1221no—
1170#121—1221no—
1171#121—1221no—
1172#121—1221no—
1173#121—1221no—
1174#121—1221no—
1175#121—1221no—
1176#121C22×D6111yescharacteristic
1177#121C22×D6111yescharacteristic
1178#121C22×D6111yescharacteristic
1179#121C22×D6111yescharacteristic
1180#120—1221no—
1181#120—1221no—
1182C4×Q8—611no—
1183C4×Q8—611no—
1184C4×Q8—611no—
1185C4×Q8—611no—
1186C4×Q8—611no—
1187C4×Q8—611no—
1188C4×Q8—611no—
1189C4×Q8—611no—
1190C4×Q8—611no—
1191C4×Q8—611no—
1192C4×Q8—611no—
1193C4×Q8—1221no—
1194C4×Q8—1221no—
1195C4×Q8—1221no—
1196C4×Q8—1221no—
1197C4×D4—21no—
1198C4×D4—611no—
1199C4×D4—611no—
1200C4×D4—611no—
1201C4×D4—611no—
1202C4×D4—611no—
1203C4×D4—611no—
1204C4×D4—611no—
1205C4×D4—611no—
1206C4×D4—611no—
1207C4×D4—611no—
1208C4×D4—1221no—
1209C4×D4—1221no—
1210C4×D4—1221no—
1211C4×D4—1221no—
1212C4×D4—1221no—
1213C4×D4—1221no—
1214C4×D4—1221no—
1215C4×D4—1221no—
1216C4×D4—1221no—
1217C4×D4—1221no—
1218C4×D4—1221no—
1219C4×D4—1221no—
1220C4×D4—1221no—
1221C4×D4—1221no—
1222C4×D4—1221no—
1223C4×D4—1221no—
1224C4×D4—1221no—
1225C4×D4C22×D6111yescharacteristic
1226C4×D4C22×D6111yescharacteristic
1227C4×D4C22×D6111yescharacteristic
1228#117—21no—
1229#117—611no—
1230#117—611no—
1231#117—611no—
1232#117—1221no—
1233#117—1221no—
1234#117—1221no—
1235#117—1221no—
1236#117—1221no—
1237#117—1221no—
1238#117—1221no—
1239#117—1221no—
1240#117—1221no—
1241#117—1221no—
1242#117—1221no—
1243#117C22×D6111yescharacteristic
1244#117C22×D6111yescharacteristic
1245#117C22×D6111yescharacteristic
1246C2×C4⋊C4—611no—
1247C2×C4⋊C4—1221no—
1248C2×C4⋊C4—1221no—
1249C2×C4⋊C4—1221no—
1250C2×C4⋊C4—1221no—
1251C2×C4⋊C4C22×D6111yescharacteristic
1252C2×C22⋊C4—1221no—
1253C2×C22⋊C4—1221no—
1254C2×C22⋊C4—1221no—
1255C2×C22⋊C4—1221no—
1256C2×C42—611no—
1257C2×C42—1221no—
1258C2×C42—1221no—
1259#107—611no—
1260#107—611no—
1261#107—611no—
1262#107C22×D6111yescharacteristic
1263#107C22×D6111yescharacteristic
1264#107C22×D6111yescharacteristic
1265#107C22×D6111yescharacteristic
1266#107C22×D6111yescharacteristic
1267#106—611no—
1268#106—611no—
1269#106—611no—
1270#106—611no—
1271#106C22×D6111yescharacteristic
1272#106C22×D6111yescharacteristic
1273#106C22×D6111yescharacteristic
1274#106C22×D6111yescharacteristic
1275C4⋊C8—611no—
1276C4⋊C8—611no—
1277C4⋊C8—611no—
1278C4⋊C8—611no—
1279C4⋊C8—611no—
1280C4⋊C8C22×D6111yescharacteristic
1281#103—611no—
1282#103—611no—
1283#103—611no—
1284#103—611no—
1285#103—611no—
1286#103—611no—
1287#103—611no—
1288#103—611no—
1289#103—611no—
1290#103—611no—
1291#103—611no—
1292#103—611no—
1293#103—611no—
1294#103—611no—
1295#103—611no—
1296#103—611no—
1297#102—611no—
1298#102—611no—
1299#102—611no—
1300#102—611no—
1301#102—611no—
1302#102—611no—
1303#102—611no—
1304#102—611no—
1305#102—611no—
1306#102—611no—
1307#102C22×D6111yescharacteristic
1308#102C22×D6111yescharacteristic
1309#102C22×D6111yescharacteristic
1310#102C22×D6111yescharacteristic
1311#102C22×D6111yescharacteristic
1312#102C22×D6111yescharacteristic
1313C22⋊C8—611no—
1314C22⋊C8—611no—
1315C22⋊C8—611no—
1316C22⋊C8—611no—
1317C22⋊C8C22×D6111yescharacteristic
1318C22⋊C8C22×D6111yescharacteristic
1319#97—611no—
1320#97—611no—
1321#97—611no—
1322#97C22×D6111yescharacteristic
1323C4×C8—611no—
1324C4×C8—611no—
1325C4×C8—611no—
1326C4×C8—611no—
1327C4×C8—611no—
1328C4×C8—611no—
1329C24—1221no—
1330#41—1222no—
1331#41—1222no—
1332#41—1222no—
1333#41—1222no—
1334#41—2441no—
1335#41—2441no—
1336#41—2441no—
1337#41—2441no—
1338C2×Q8—21no—
1339C2×Q8—611no—
1340C2×Q8—611no—
1341C2×Q8—611no—
1342C2×Q8—611no—
1343C2×Q8—611no—
1344C2×Q8—1221no—
1345C2×Q8—1222no—
1346C2×Q8—1221no—
1347C2×Q8—2441no—
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—611no—
1353C2×D4—611no—
1354C2×D4—611no—
1355C2×D4—611no—
1356C2×D4—1221no—
1357C2×D4—1221no—
1358C2×D4—1221no—
1359C2×D4—1221no—
1360C2×D4—1222no—
1361C2×D4—1221no—
1362C2×D4—1221no—
1363C2×D4—1221no—
1364C2×D4—1221no—
1365C2×D4—1221no—
1366C2×D4—2441no—
1367C2×D4D4×D6111yescharacteristic
1368C2×D4C23×D6111yescharacteristic
1369C2×D4C23×D6111yescharacteristic
1370C22×C4—21no—
1371C22×C4—21no—
1372C22×C4—21no—
1373C22×C4—611no—
1374C22×C4—611no—
1375C22×C4—611no—
1376C22×C4—1221no—
1377C22×C4—1221no—
1378C22×C4—1221no—
1379C22×C4—1221no—
1380C22×C4—1221no—
1381C22×C4—1221no—
1382C22×C4—1221no—
1383C22×C4—1221no—
1384C22×C4—1221no—
1385C22×C4—1221no—
1386C22×C4—1221no—
1387C22×C4—1221no—
1388C22×C4—1221no—
1389C22×C4—1221no—
1390C22×C4C23×D6111yescharacteristic
1391C22×C4C23×D6111yescharacteristic
1392Q16—1222no—
1393Q16—1222no—
1394Q16—1222no—
1395Q16—2441no—
1396SD16—614no—
1397SD16—1222no—
1398SD16—1222no—
1399SD16—1222no—
1400SD16—2441no—
1401SD16—2441no—
1402SD16—2441no—
1403SD16—2441no—
1404D8—22no—
1405D8—1222no—
1406D8—1222no—
1407D8—2441no—
1408M16—22no—
1409M16—1222no—
1410C2×C8—22no—
1411C2×C8—611no—
1412C2×C8—611no—
1413C2×C8—611no—
1414C2×C8—611no—
1415C2×C8—2441no—
1416C2×C8—2441no—
1417C2×C8—2441no—
1418C2×C8C23×D6111yescharacteristic
1419C2×C8C23×D6111yescharacteristic
1420C2×C8C23×D6111yescharacteristic
1421C2×C8C23×D6111yescharacteristic
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—611no—
1427C4⋊C4—611no—
1428C4⋊C4—611no—
1429C4⋊C4—611no—
1430C4⋊C4—611no—
1431C4⋊C4—611no—
1432C4⋊C4—611no—
1433C4⋊C4—611no—
1434C4⋊C4—611no—
1435C4⋊C4—611no—
1436C4⋊C4—611no—
1437C4⋊C4—1221no—
1438C4⋊C4—1221no—
1439C4⋊C4—1221no—
1440C4⋊C4—1221no—
1441C4⋊C4—1221no—
1442C4⋊C4—1221no—
1443C4⋊C4—1221no—
1444C4⋊C4—1221no—
1445C4⋊C4—1221no—
1446C4⋊C4—1221no—
1447C4⋊C4—1221no—
1448C4⋊C4—1221no—
1449C4⋊C4—1221no—
1450C4⋊C4—1221no—
1451C4⋊C4—1221no—
1452C4⋊C4—1221no—
1453C4⋊C4—1221no—
1454C4⋊C4—1221no—
1455C4⋊C4—1221no—
1456C4⋊C4—1221no—
1457C4⋊C4—1221no—
1458C4⋊C4—1221no—
1459C4⋊C4—1221no—
1460C4⋊C4—1221no—
1461C4⋊C4—1221no—
1462C4⋊C4—1221no—
1463C4⋊C4D4×D6111yescharacteristic
1464C4⋊C4C23×D6111yescharacteristic
1465C4⋊C4C23×D6111yescharacteristic
1466C4⋊C4C23×D6111yescharacteristic
1467C4⋊C4C23×D6111yescharacteristic
1468C4⋊C4C23×D6111yescharacteristic
1469C4⋊C4C23×D6111yescharacteristic
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—611no—
1480C22⋊C4—611no—
1481C22⋊C4—611no—
1482C22⋊C4—611no—
1483C22⋊C4—611no—
1484C22⋊C4—611no—
1485C22⋊C4—611no—
1486C22⋊C4—611no—
1487C22⋊C4—1221no—
1488C22⋊C4—1221no—
1489C22⋊C4—1221no—
1490C22⋊C4—1221no—
1491C22⋊C4—1221no—
1492C22⋊C4—1221no—
1493C22⋊C4—1221no—
1494C22⋊C4—1221no—
1495C22⋊C4—1221no—
1496C22⋊C4—1221no—
1497C22⋊C4—1221no—
1498C22⋊C4—1221no—
1499C22⋊C4—1221no—
1500C22⋊C4—1221no—
1501C22⋊C4—1221no—
1502C22⋊C4—1221no—
1503C22⋊C4—1221no—
1504C22⋊C4—1221no—
1505C22⋊C4—1221no—
1506C22⋊C4—1221no—
1507C22⋊C4—1221no—
1508C22⋊C4—1221no—
1509C22⋊C4—1221no—
1510C22⋊C4—1221no—
1511C22⋊C4—1221no—
1512C22⋊C4D4×D6111yescharacteristic
1513C22⋊C4D4×D6111yescharacteristic
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—611no—
1518C42—611no—
1519C42—611no—
1520C42—611no—
1521C42—611no—
1522C42—1221no—
1523C42—1221no—
1524C42—1221no—
1525C42—1221no—
1526C42—1221no—
1527C42—1221no—
1528C42—1221no—
1529C42—1221no—
1530C42—1221no—
1531C42—1221no—
1532C42—1221no—
1533C42C23×D6111yescharacteristic
1534C23—21no—
1535C23—21no—
1536C23—611no—
1537C23—1221no—
1538C23—1221no—
1539C23—4881no—
1540C23—4881no—
1541C23—2442no—
1542C23C2×D4×D6111yescharacteristic
1543C23C2×D4×D6111yescharacteristic
1544Q8—81no—
1545Q8—612no—
1546Q8—1221no—
1547Q8—1221no—
1548Q8—1221no—
1549Q8—1221no—
1550Q8—1221no—
1551Q8—1221no—
1552Q8—1221no—
1553Q8—4881no—
1554Q8—2441no—
1555Q8—2442no—
1556D4—21no—
1557D4—21no—
1558D4—21no—
1559D4—21no—
1560D4—41no—
1561D4—81no—
1562D4—81no—
1563D4—81no—
1564D4—81no—
1565D4—612no—
1566D4—1221no—
1567D4—1221no—
1568D4—1221no—
1569D4—4881no—
1570D4—4881no—
1571D4—4881no—
1572D4—4881no—
1573D4—2441no—
1574D4—2441no—
1575D4—2442no—
1576D4—2442no—
1577D4—2442no—
1578D4—2442no—
1579D4—2442no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—81no—
1591C2×C4—81no—
1592C2×C4—81no—
1593C2×C4—611no—
1594C2×C4—611no—
1595C2×C4—611no—
1596C2×C4—611no—
1597C2×C4—611no—
1598C2×C4—611no—
1599C2×C4—611no—
1600C2×C4—1221no—
1601C2×C4—1221no—
1602C2×C4—1221no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—1221no—
1606C2×C4—1221no—
1607C2×C4—1221no—
1608C2×C4—4881no—
1609C2×C4—4881no—
1610C2×C4—4881no—
1611C2×C4—4881no—
1612C2×C4—4881no—
1613C2×C4—4881no—
1614C2×C4—4881no—
1615C2×C4—4881no—
1616C2×C4—4881no—
1617C2×C4—2442no—
1618C2×C4—2442no—
1619C2×C4—2442no—
1620C2×C4—2441no—
1621C2×C4—2441no—
1622C2×C4—2442no—
1623C2×C4—2442no—
1624C2×C4C2×D4×D6111yescharacteristic
1625C2×C4C2×D4×D6111yescharacteristic
1626C2×C4C2×D4×D6111yescharacteristic
1627C2×C4C2×D4×D6111yescharacteristic
1628C2×C4C24×D6111yescharacteristic
1629C8—21no—
1630C8—21no—
1631C8—21no—
1632C8—1221no—
1633C8—1221no—
1634C8—1221no—
1635C8—1221no—
1636C8#41×D6112yes—
1637C22—21no—
1638C22—21no—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—41no—
1644C22—41no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—41no—
1649C22—1221no—
1650C22—1222no—
1651C22—1221no—
1652C22—1221no—
1653C22—9762no—
1654C22—2441no—
1655C22—2441no—
1656C22—2441no—
1657C22—2441no—
1658C22—2441no—
1659C22C22×D4×D6111yescharacteristic
1660C4—21no—
1661C4—21no—
1662C4—21no—
1663C4—21no—
1664C4—41no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—1221no—
1671C4—1222no—
1672C4—1221no—
1673C4—1221no—
1674C4—1221no—
1675C4—1221no—
1676C4—1221no—
1677C4—1221no—
1678C4—2441no—
1679C4—2441no—
1680C4—2441no—
1681C4—2441no—
1682C4—2441no—
1683C4C2×#41×D6111yescharacteristic
1684C4#1684059911yescharacteristic
1685C2—41no—
1686C2—41no—
1687C2—81no—
1688C2—81no—
1689C2—4881no—
1690C2—2441no—
1691C2—2442no—
1692C2#2145930611yescharacteristic
1693C2#2146058711yescharacteristic
1694C2#2146059211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3347C2
socleC22×C61C23×D4
hypercenter#3347D61
hypocenterC61#61500
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3347

Complements

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

NH ≅ G/Ntype
1. #21459919C2semidirect
2. #21459882C2semidirect
3. #21458890C2semidirect
4. #21458759C2semidirect
5. #21458503C2semidirect
6. #21458482C2semidirect
7. #21458375C2semidirect
8. #21458345C2semidirect
9. #21457756C2semidirect
10. #21457741C2semidirect
11. #21457715C2semidirect
12. #21457704C2semidirect
13. #21457672C2semidirect
14. #21457657C2semidirect
15. #21457457C2semidirect
16. #21457379C2semidirect
17. #21457356C2semidirect
18. #21456503C2semidirect
19. #21456492C2semidirect
20. #21456384C2semidirect
21. #21456043C2semidirect
22. #21456038C2semidirect
23. #21456021C2semidirect
24. #21456010C2semidirect
25. #21455923C2semidirect
26. #21455923C2semidirect
27. #21454789C2semidirect
28. #21454660C2semidirect
29. #21454648C2semidirect
30. #21454590C2semidirect
31. C61×#3347C2semidirect
35. #16840495C22semidirect
37. #16840487C22semidirect
52. #16840421C22semidirect
61. #16840365C22semidirect
67. #16840293C22semidirect
74. #16840239C22semidirect
77. #16840230C22semidirect
78. #16840169C22semidirect
79. #16840163C22semidirect
80. #16840156C22semidirect
83. #16840119C22semidirect
86. #16840115C22semidirect
87. #16840114C22semidirect
88. #16840107C22semidirect
90. #16840103C22semidirect
91. #16840103C22semidirect
92. #16840103C22semidirect
96. #16840080C22semidirect
97. #16840068C22semidirect
98. #16840068C22semidirect
99. #16840068C22semidirect
100. #16840066C22semidirect
103. #16840061C22semidirect
104. #16840056C22semidirect
106. #16840046C22semidirect
109. #16840008C22semidirect
111. #16840003C22semidirect
115. #16839989C22semidirect
116. #16839989C22semidirect
120. #16839983C22semidirect
125. #16839973C22semidirect
126. #16839967C22semidirect
127. #16839961C22semidirect
130. #16839926C22semidirect
133. #16839920C22semidirect
141. #16839890C22semidirect
142. #16839886C22semidirect
145. #16839868C22semidirect
146. #16839868C22semidirect
147. #16839868C22semidirect
151. #16839861C22semidirect
153. #16839859C22semidirect
154. #16839856C22semidirect
155. #16839856C22semidirect
156. #16839856C22semidirect
157. #16839856C22semidirect
159. #16839853C22semidirect
163. #16839849C22semidirect
164. #16839849C22semidirect
172. D4×#92418C22semidirect
176. #16839820C22semidirect
177. #16839816C22semidirect
181. #16839756C22semidirect
183. C2×#14519700C22semidirect
185. #16839720C22semidirect
187. C2×C8×Dic61C22semidirect
188. C61×#555C22semidirect
190. C61×#501C22semidirect
193. C61×#482C22semidirect
194. C61×#480C22semidirect
195. C61×#478C22semidirect
200. C61×#435C22semidirect
201. C61×#428C22semidirect
202. C61×#427C22semidirect
846. #3347D61semidirect
888. #555C2×D61semidirect
928. #501C2×D61semidirect
948. #482C2×D61semidirect
950. #480C2×D61semidirect
958. #478C2×D61semidirect
1031. #435C2×D61semidirect
1039. #428C2×D61semidirect
1040. #427C2×D61semidirect
1050. C61#61500semidirect

Maximal subgroups

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

subgroupindex
#214599192
#214598822
#214588902
#214587592
#214585032
#214584822
#214583752
#214583452
#214577562
#214577412
#214577152
#214577042
#214576722
#214576572
#214574572
#214573792
#214573562
#214565032
#214564922
#214563842
#214560432
#214560382
#214560212
#214560102
#214559232
#214547892
#214546602
#214546482
#214545902
C61×#33472
#6150061