Finite Group Databasebeta

← #30571193

Subgroups — #30571193

Order 15616.

1776 conjugacy classes of subgroups.

The subgroup lattice has 1706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459896C211yesmaximal, characteristic, complemented
2#21459412C211yesmaximal, characteristic, complemented
3#21458908C211yesmaximal, characteristic, complemented
4#21458902C211yesmaximal, characteristic, complemented
5#21458890C211yesmaximal, characteristic, complemented
6#21458878C211yesmaximal, characteristic, complemented
7#21458873C211yesmaximal, characteristic, complemented
8#21458864C211yesmaximal, characteristic, complemented
9#21458862C211yesmaximal, characteristic, complemented
10#21458834C211yesmaximal, characteristic, complemented
11#21458653C211yesmaximal, characteristic, complemented
12#21458647C211yesmaximal, characteristic, complemented
13#21458636C211yesmaximal, characteristic, complemented
14#21458601C211yesmaximal, characteristic, complemented
15#21458579C211yesmaximal, characteristic, complemented
16#21458573C211yesmaximal, characteristic, complemented
17#21458562C211yesmaximal, characteristic, complemented
18#21458527C211yesmaximal, characteristic, complemented
19#21456858C211yesmaximal, characteristic, complemented
20#21456854C211yesmaximal, characteristic, complemented
21#21456811C211yesmaximal, characteristic, complemented
22#21456810C211yesmaximal, characteristic, complemented
23#21456792C211yesmaximal, characteristic, complemented
24#21456750C211yesmaximal, characteristic, complemented
25#21455965C211yesmaximal, characteristic, complemented
26#21455928C211yesmaximal, characteristic, complemented
27#21455923C211yesmaximal, characteristic, complemented
28#21455874C211yesmaximal, characteristic, complemented
29#21455832C211yesmaximal, characteristic, complemented
30#21454903C211yesmaximal, characteristic, complemented
31C61×#3115C211yesmaximal, characteristic, complemented
32#16840498C2211yescharacteristic
33#16840497C2211yescharacteristic
34#16840495C2211yescharacteristic
35#16840495C2211yescharacteristic
36#16840495C2211yescharacteristic
37#16840495C2211yescharacteristic
38#16840492C2211yescharacteristic
39#16840490C2211yescharacteristic
40#16840484C2211yescharacteristic
41#16840484C2211yescharacteristic
42#16840482C2211yescharacteristic
43#16840473C2211yescharacteristic
44#16840471C2211yescharacteristic
45#16840471C2211yescharacteristic
46#16840461—21no—
47#16840461—21no—
48#16840458—21no—
49#16840433C2211yescharacteristic
50#16840432C2211yescharacteristic
51#16840421—21no—
52#16840418—21no—
53#16840412—21no—
54#16840411—21no—
55#16840411—21no—
56#16840377—21no—
57#16840376—21no—
58#16840376—21no—
59#16840312C2211yescharacteristic
60#16840308C2211yescharacteristic
61#16840308C2211yescharacteristic
62#16840307C2211yescharacteristic
63#16840307C2211yescharacteristic
64#16840296—21no—
65#16840296C2211yescharacteristic
66#16840293C2211yescharacteristic
67#16840293C2211yescharacteristic
68#16840290—21no—
69#16840290—21no—
70#16840241—21no—
71C4×#11758222—21no—
72#16840230C2211yescharacteristic
73#16840230C2211yescharacteristic
74C2×C4×Dic122C2211yescharacteristic
75#16840156C2211yescharacteristic
76#16840153C2211yescharacteristic
77#16840151C2211yescharacteristic
78#16840150C2211yescharacteristic
79#16840150C2211yescharacteristic
80#16840149C2211yescharacteristic
81#16840149C2211yescharacteristic
82#16840148C2211yescharacteristic
83#16840145C2211yescharacteristic
84#16840143C2211yescharacteristic
85#16840137C2211yescharacteristic
86#16840133C2211yescharacteristic
87#16840131C2211yescharacteristic
88#16840129C2211yescharacteristic
89#16840127C2211yescharacteristic
90#16840125C2211yescharacteristic
91#16840124C2211yescharacteristic
92#16840124C2211yescharacteristic
93#16840123C2211yescharacteristic
94#16840120C2211yescharacteristic
95#16840118C2211yescharacteristic
96#16840115C2211yescharacteristic
97#16840111C2211yescharacteristic
98#16840107C2211yescharacteristic
99#16840103C2211yescharacteristic
100#16840086C2211yescharacteristic
101#16840072C2211yescharacteristic
102#16840069C2211yescharacteristic
103#16840068C2211yescharacteristic
104#16840065C2211yescharacteristic
105#16840062C2211yescharacteristic
106#16840061C2211yescharacteristic
107#16840056C2211yescharacteristic
108#16840051C2211yescharacteristic
109#16840046C2211yescharacteristic
110#16840041C2211yescharacteristic
111#16839987C2211yescharacteristic
112#16839985C2211yescharacteristic
113#16839985C2211yescharacteristic
114#16839984C2211yescharacteristic
115#16839983C2211yescharacteristic
116#16839983C2211yescharacteristic
117#16839983C2211yescharacteristic
118#16839980C2211yescharacteristic
119#16839979C2211yescharacteristic
120#16839979C2211yescharacteristic
121#16839978C2211yescharacteristic
122#16839978C2211yescharacteristic
123#16839977C2211yescharacteristic
124#16839976C2211yescharacteristic
125#16839976C2211yescharacteristic
126#16839976C2211yescharacteristic
127#16839975C2211yescharacteristic
128#16839975C2211yescharacteristic
129#16839971C2211yescharacteristic
130#16839967C2211yescharacteristic
131#16839967C2211yescharacteristic
132#16839966C2211yescharacteristic
133#16839965C2211yescharacteristic
134#16839965C2211yescharacteristic
135#16839961C2211yescharacteristic
136#16839961C2211yescharacteristic
137#16839961C2211yescharacteristic
138#16839957C2211yescharacteristic
139#16839957C2211yescharacteristic
140#16839956C2211yescharacteristic
141#16839956C2211yescharacteristic
142#16839956C2211yescharacteristic
143#16839955C2211yescharacteristic
144#16839955C2211yescharacteristic
145#16839926C2211yescharacteristic
146#16839926C2211yescharacteristic
147#16839924C2211yescharacteristic
148#16839909C2211yescharacteristic
149#16839909C2211yescharacteristic
150#16839907C2211yescharacteristic
151#16839905C2211yescharacteristic
152#16839905C2211yescharacteristic
153#16839905C2211yescharacteristic
154#16839905C2211yescharacteristic
155#16839891C2211yescharacteristic
156#16839891C2211yescharacteristic
157#16839891C2211yescharacteristic
158#16839891C2211yescharacteristic
159#16839890C2211yescharacteristic
160#16839890C2211yescharacteristic
161#16839890C2211yescharacteristic
162#16839890C2211yescharacteristic
163#16839873C2211yescharacteristic
164#16839872C2211yescharacteristic
165#16839871C2211yescharacteristic
166#16839871C2211yescharacteristic
167#16839868C2211yescharacteristic
168#16839867C2211yescharacteristic
169#16839862C2211yescharacteristic
170#16839861C2211yescharacteristic
171#16839861C2211yescharacteristic
172#16839860C2211yescharacteristic
173#16839859C2211yescharacteristic
174#16839859C2211yescharacteristic
175#16839856C2211yescharacteristic
176#16839853C2211yescharacteristic
177#16839853C2211yescharacteristic
178#16839849C2211yescharacteristic
179#16839849C2211yescharacteristic
180#16839844C2211yescharacteristic
181#16839842C2211yescharacteristic
182#16839842C2211yescharacteristic
183#16839819C2211yescharacteristic
184#16839816C2211yescharacteristic
185#16839816C2211yescharacteristic
186#16839812C2211yescharacteristic
187#16839812C2211yescharacteristic
188C61×#532C2211yescharacteristic
189C4×#41×C61C2211yescharacteristic
190C61×#482C2211yescharacteristic
191C61×#482C2211yescharacteristic
192C61×#475C2211yescharacteristic
193C61×#474C2211yescharacteristic
194C61×#460C2211yescharacteristic
195C61×#459C2211yescharacteristic
196C61×#449C2211yescharacteristic
197C61×#449C2211yescharacteristic
198C61×#442C2211yescharacteristic
199C61×#442C2211yescharacteristic
200C61×#440C2211yescharacteristic
201C61×#440C2211yescharacteristic
202C61×#432C2211yescharacteristic
203C2×#11758222—21no—
204C2×#11758222C2311yescharacteristic
205C2×#11758222C2311yescharacteristic
206C2×#11758224—21no—
207C2×#11758224—21no—
208C2×#11758224—21no—
209C22×Dic122D411yescharacteristic
210C2×Dic244C2311yescharacteristic
211C2×Dic244C2311yescharacteristic
212C2×#11758202C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758190C2311yescharacteristic
215C2×#11758190C2311yescharacteristic
216C2×#11758190C2311yescharacteristic
217C2×#11758200C2311yescharacteristic
218C2×#11758200C2311yescharacteristic
219C2×#11758200C2311yescharacteristic
220C2×#11758200C2311yescharacteristic
221C2×#11758200C2311yescharacteristic
222C2×#11758201C2311yescharacteristic
223C2×D488C2311yescharacteristic
224C2×D488C2311yescharacteristic
225C2×#11758199C2311yescharacteristic
226C2×#11758199C2311yescharacteristic
227C2×#11758199C2311yescharacteristic
228C2×#11758199C2311yescharacteristic
229C2×#11758199C2311yescharacteristic
230#14519777C2311yescharacteristic
231#14519776—21no—
232#14519776C2311yescharacteristic
233#14519776C2311yescharacteristic
234#14519775—21no—
235#14519775—21no—
236#14519775C2311yescharacteristic
237#14519775C2311yescharacteristic
238#14519774C2311yescharacteristic
239#14519773C2311yescharacteristic
240#14519773C2311yescharacteristic
241#14519773C2311yescharacteristic
242#14519773C2311yescharacteristic
243#14519772—21no—
244#14519772—21no—
245#14519771—21no—
246#14519771—21no—
247#14519771—21no—
248#14519770—21no—
249#14519770—21no—
250#14519770—21no—
251#14519770—21no—
252#14519769—21no—
253#14519769C2311yescharacteristic
254#14519768C2311yescharacteristic
255#14519768C2311yescharacteristic
256#14519767—21no—
257#14519767—21no—
258#14519766C2311yescharacteristic
259#14519766C2311yescharacteristic
260#14519765—21no—
261#14519765C2311yescharacteristic
262#14519765C2311yescharacteristic
263#14519765C2311yescharacteristic
264#14519764—21no—
265#14519764C2311yescharacteristic
266#14519764C2311yescharacteristic
267#14519764C2311yescharacteristic
268#14519764C2311yescharacteristic
269#14519763—21no—
270#14519763—21no—
271#14519763—21no—
272#14519763—21no—
273#14519763—21no—
274#14519763—21no—
275#14519762—21no—
276#14519762—21no—
277#14519760—21no—
278#14519760—21no—
279#14519760—21no—
280#14519760—21no—
281#14519760—21no—
282#14519759—21no—
283#14519759—21no—
284#14519759—21no—
285#14519759—21no—
286#14519758—21no—
287#14519758—21no—
288#14519758—21no—
289#14519758—21no—
290#14519757—21no—
291#14519756—21no—
292#14519756—21no—
293#14519756—21no—
294#14519756C2311yescharacteristic
295#14519755—21no—
296#14519755—21no—
297#14519754—21no—
298#14519754—21no—
299#14519754—21no—
300#14519754—21no—
301#14519753—21no—
302#14519753—21no—
303#14519751—21no—
304#14519751—21no—
305#14519751—21no—
306#14519751C2311yescharacteristic
307#14519750—21no—
308#14519750—21no—
309#14519749—21no—
310#14519749—21no—
311#14519749—21no—
312#14519749—21no—
313#14519749—21no—
314#14519749—21no—
315#14519749—21no—
316#14519749—21no—
317#14519748—21no—
318C4×Dic122—21no—
319C4×Dic122D411yescharacteristic
320C4×Dic122D411yescharacteristic
321C4×Dic122D411yescharacteristic
322C4×Dic122D411yescharacteristic
323C4×Dic122C2311yescharacteristic
324C4×Dic122C2311yescharacteristic
325C4×Dic122C2311yescharacteristic
326C4×Dic122C2311yescharacteristic
327C4×Dic122C2311yescharacteristic
328#14519742—21no—
329#14519742C2311yescharacteristic
330#14519742C2311yescharacteristic
331#14519742C2311yescharacteristic
332#14519742C2311yescharacteristic
333#14519742C2311yescharacteristic
334#14519742C2311yescharacteristic
335C4×D244—21no—
336C4×D244—21no—
337C4×D244—21no—
338C4×D244C2311yescharacteristic
339D4×Dic61—21no—
340D4×Dic61—21no—
341D4×Dic61—21no—
342D4×Dic61C2311yescharacteristic
343D4×Dic61C2311yescharacteristic
344D4×Dic61C2311yescharacteristic
345D4×Dic61C2311yescharacteristic
346#14519739C2311yescharacteristic
347#14519739C2311yescharacteristic
348#14519739C2311yescharacteristic
349#14519739C2311yescharacteristic
350#14519739C2311yescharacteristic
351#14519739C2311yescharacteristic
352C4×C22⋊D61—21no—
353C4×C22⋊D61—21no—
354C4×C22⋊D61—21no—
355C4×C22⋊D61—21no—
356C4×C22⋊D61—21no—
357C4×C22⋊D61—21no—
358C4×C22⋊D61—21no—
359C4×C22⋊D61—21no—
360C4×C22⋊D61—21no—
361#14519737—21no—
362#14519737—21no—
363#14519737—21no—
364#14519737—21no—
365#14519737—21no—
366#14519737—21no—
367#14519736—21no—
368#14519734—21no—
369#14519734—21no—
370#14519734—21no—
371#14519734—21no—
372#14519734—21no—
373#14519733—21no—
374#14519733—21no—
375C2×C4⋊Dic61D411yescharacteristic
376C2×#11758196—21no—
377C2×#11758196—21no—
378C2×#11758196D411yescharacteristic
379C2×#11758196D411yescharacteristic
380C4⋊C4×D61—21no—
381C2×C4×Dic61C2311yescharacteristic
382C2×C4×Dic61C2311yescharacteristic
383C42×D61—21no—
384C42×D61—21no—
385#14519710C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519708C2311yescharacteristic
388#14519708C2311yescharacteristic
389C4⋊#92418C2311yescharacteristic
390C4⋊#92418C2311yescharacteristic
391#14519706C2311yescharacteristic
392#14519706C2311yescharacteristic
393#14519706C2311yescharacteristic
394#14519706C2311yescharacteristic
395#14519706C2311yescharacteristic
396#14519706C2311yescharacteristic
397#14519706C2311yescharacteristic
398#14519706C2311yescharacteristic
399#14519702C2311yescharacteristic
400#14519702C2311yescharacteristic
401#14519702C2311yescharacteristic
402#14519702C2311yescharacteristic
403#14519701C2311yescharacteristic
404#14519701C2311yescharacteristic
405#14519700C2311yescharacteristic
406#14519700C2311yescharacteristic
407#14519700C2311yescharacteristic
408#14519700C2311yescharacteristic
409#14519700C2311yescharacteristic
410#14519700C2311yescharacteristic
411#14519699C2311yescharacteristic
412#14519699C2311yescharacteristic
413#14519699C2311yescharacteristic
414#14519699C2311yescharacteristic
415#14519698C2311yescharacteristic
416#14519698C2311yescharacteristic
417#14519697C2311yescharacteristic
418#14519697C2311yescharacteristic
419#14519697C2311yescharacteristic
420#14519697C2311yescharacteristic
421#14519697C2311yescharacteristic
422#14519697C2311yescharacteristic
423C22⋊#92418C2311yescharacteristic
424C22⋊#92418C2311yescharacteristic
425#14519688C2311yescharacteristic
426#14519688C2311yescharacteristic
427#14519687C2311yescharacteristic
428#14519687C2311yescharacteristic
429#14519687C2311yescharacteristic
430#14519687C2311yescharacteristic
431C8×Dic61C2311yescharacteristic
432C8×Dic61C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C2×#41×C61—21no—
436C2×#41×C61C2311yescharacteristic
437C2×SD16×C61C2311yescharacteristic
438C2×SD16×C61C2311yescharacteristic
439C2×D8×C61C2311yescharacteristic
440C2×D8×C61C2311yescharacteristic
441C4⋊Q8×C61C2311yescharacteristic
442#127×C61C2311yescharacteristic
443#124×C61—21no—
444#121×C61—21no—
445#121×C61C2311yescharacteristic
446#121×C61C2311yescharacteristic
447C4×Q8×C61C2311yescharacteristic
448C4×Q8×C61C2311yescharacteristic
449C4×D4×C61—21no—
450C4×D4×C61—21no—
451C4×D4×C61—21no—
452C4×D4×C61C2311yescharacteristic
453C4×D4×C61C2311yescharacteristic
454C4×D4×C61C2311yescharacteristic
455C4×D4×C61C2311yescharacteristic
456#117×C61—21no—
457#117×C61C2311yescharacteristic
458C2×C42×C61—21no—
459C2×C42×C61C2311yescharacteristic
460#107×C61C2311yescharacteristic
461#107×C61C2311yescharacteristic
462#106×C61C2311yescharacteristic
463#106×C61C2311yescharacteristic
464C4⋊C8×C61C2311yescharacteristic
465C4⋊C8×C61C2311yescharacteristic
466#103×C61C2311yescharacteristic
467#103×C61C2311yescharacteristic
468#102×C61C2311yescharacteristic
469#102×C61C2311yescharacteristic
470#102×C61C2311yescharacteristic
471#102×C61C2311yescharacteristic
472#102×C61C2311yescharacteristic
473#102×C61C2311yescharacteristic
474C22⋊C8×C61C2311yescharacteristic
475C22⋊C8×C61C2311yescharacteristic
476#97×C61C2311yescharacteristic
477#97×C61C2311yescharacteristic
478#41×C61—41no—
479#41×C61—41no—
480#41×C61—82no—
481C2×Q8×C61—21no—
482C2×Q8×C61C2411yescharacteristic
483C2×D4×C61—21no—
484C2×D4×C61—21no—
485C2×D4×C61—21no—
486C2×D4×C61—21no—
487C2×D4×C61—21no—
488C2×D4×C61C2411yescharacteristic
489C2×D4×C61C2411yescharacteristic
490C2×D4×C61C2411yescharacteristic
491C22×C4×C61—21no—
492C22×C4×C61—21no—
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61—21no—
496C22×C4×C61C2×D411yescharacteristic
497C22×C4×C61C2×D411yescharacteristic
498C22×C4×C61C2411yescharacteristic
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⋊D61—21no—
508C2×C22⋊D61—21no—
509C2×C22⋊D61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61—21no—
514C22×Dic61C2×D411yescharacteristic
515C22×Dic61C2×D411yescharacteristic
516C22×Dic61C2×D411yescharacteristic
517C22×Dic61C2×D411yescharacteristic
518#11758224—44no—
519#11758224—82no—
520#11758224—82no—
521#11758222—41no—
522#11758222—41no—
523#11758222—41no—
524#11758222—41no—
525#11758222—44no—
526C2×D244—21no—
527C2×D244—21no—
528C2×D244C2411yescharacteristic
529C2×D244C2411yescharacteristic
530C2×D244C2411yescharacteristic
531C2×C4×D61—21no—
532C2×C4×D61—21no—
533C2×C4×D61—21no—
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×Dic122—21no—
541C2×Dic122—21no—
542C2×Dic122—42no—
543C2×Dic122C2×D411yescharacteristic
544C2×Dic122C2×D411yescharacteristic
545C2×Dic122C2×D411yescharacteristic
546C2×Dic122C2×D411yescharacteristic
547C2×Dic122C2411yescharacteristic
548C2×Dic122C2411yescharacteristic
549C2×Dic122C2411yescharacteristic
550SD16×C61—41no—
551SD16×C61—41no—
552D8×C61—41no—
553D8×C61—41no—
554C2×C8×C61C2411yescharacteristic
555C2×C8×C61C2411yescharacteristic
556C2×C8×C61C2411yescharacteristic
557C2×C8×C61C2411yescharacteristic
558C4⋊C4×C61—21no—
559C4⋊C4×C61—21no—
560C4⋊C4×C61—21no—
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
563C4⋊C4×C61C2411yescharacteristic
564C4⋊C4×C61C2411yescharacteristic
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×C61—21no—
572C42×C61—21no—
573C42×C61—21no—
574C42×C61—21no—
575C42×C61C2×D411yescharacteristic
576C42×C61C2×D411yescharacteristic
577C42×C61C2411yescharacteristic
578C42×C61C2411yescharacteristic
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⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592#11758202—41no—
593#11758201—41no—
594#11758200—41no—
595#11758200—41no—
596#11758200—41no—
597#11758200—41no—
598#11758200—41no—
599#11758199—41no—
600#11758199—41no—
601#11758199—41no—
602#11758199—41no—
603#11758199—41no—
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#11758198—21no—
613#11758198—21no—
614#11758198—21no—
615#11758198—21no—
616#11758198—21no—
617#11758198—21no—
618#11758198—21no—
619#11758198—21no—
620#11758198—21no—
621#11758198—21no—
622C4⋊Dic61—21no—
623C4⋊Dic61—21no—
624C4⋊Dic61—21no—
625C4⋊Dic61—21no—
626C4⋊Dic61C2×D411yescharacteristic
627C4⋊Dic61C2×D411yescharacteristic
628C4⋊Dic61C2×D411yescharacteristic
629C4⋊Dic61C2×D411yescharacteristic
630C4⋊Dic61C2411yescharacteristic
631C4⋊Dic61C2411yescharacteristic
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#11758196—21no—
648#11758196—21no—
649#11758196—21no—
650#11758196C2×D411yescharacteristic
651#11758196C2×D411yescharacteristic
652#11758196C2×D411yescharacteristic
653#11758196C2×D411yescharacteristic
654#11758196C2×D411yescharacteristic
655#11758196C2×D411yescharacteristic
656#11758196C2×D411yescharacteristic
657#11758196C2×D411yescharacteristic
658C4×Dic61—21no—
659C4×Dic61—21no—
660C4×Dic61—21no—
661C4×Dic61—21no—
662C4×Dic61—21no—
663C4×Dic61—21no—
664C4×Dic61—21no—
665C4×Dic61C2×D411yescharacteristic
666C4×Dic61C2×D411yescharacteristic
667C4×Dic61C2×D411yescharacteristic
668C4×Dic61C2×D411yescharacteristic
669C4×Dic61C2411yescharacteristic
670C4×Dic61C2411yescharacteristic
671C4×Dic61C2411yescharacteristic
672C4×Dic61C2411yescharacteristic
673C2×#92418C2411yescharacteristic
674C2×#92418C2411yescharacteristic
675C2×#92418C2411yescharacteristic
676C2×#92418C2411yescharacteristic
677Dic244—41no—
678Dic244—41no—
679D488—41no—
680D488—41no—
681#11758190—41no—
682#11758190—41no—
683#11758190—41no—
684#11758190—41no—
685C23×C61—21no—
686C23×C61—21no—
687C23×C61—21no—
688C23×C61C22×D411yescharacteristic
689C22×D61—21no—
690C22×D61—21no—
691C22×D61—21no—
692Q8×C61—21no—
693Q8×C61—21no—
694Q8×C61—81no—
695D4×C61—21no—
696D4×C61—21no—
697D4×C61—21no—
698D4×C61—21no—
699D4×C61—21no—
700D4×C61—21no—
701D4×C61—42no—
702D4×C61—42no—
703D4×C61—42no—
704D4×C61—42no—
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—41no—
714C2×C4×C61—41no—
715C2×C4×C61—42no—
716C2×C4×C61—42no—
717C2×C4×C61—81no—
718C2×C4×C61—81no—
719C2×C4×C61—81no—
720C2×C4×C61C22×D411yescharacteristic
721C2×C4×C61C22×D411yescharacteristic
722C2×C4×C61C22×D411yescharacteristic
723C2×C4×C61C22×D411yescharacteristic
724C2×C4×C61C22×D411yescharacteristic
725C2×C4×C61C2511yescharacteristic
726C22⋊D61—42no—
727C22⋊D61—42no—
728C22⋊D61—42no—
729C22⋊D61—42no—
730C22⋊D61—42no—
731C22⋊D61—42no—
732C22⋊D61—42no—
733C22⋊D61—81no—
734C22⋊D61—81no—
735C22⋊D61—81no—
736C22⋊D61—81no—
737C2×Dic61—22no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—21no—
742C2×Dic61—21no—
743C2×Dic61—41no—
744C2×Dic61—41no—
745C2×Dic61—41no—
746C2×Dic61—42no—
747C2×Dic61—42no—
748C2×Dic61—81no—
749C2×Dic61—81no—
750C2×Dic61C22×D411yescharacteristic
751C2×Dic61C22×D411yescharacteristic
752C2×Dic61C22×D411yescharacteristic
753C2×Dic61C22×D411yescharacteristic
754C2×Dic61C22×D411yescharacteristic
755C2×Dic61C22×D411yescharacteristic
756C2×Dic61C22×D411yescharacteristic
757C2×Dic61C22×D411yescharacteristic
758D244—21no—
759D244—21no—
760D244—21no—
761D244—21no—
762D244—21no—
763D244—21no—
764D244—42no—
765D244—81no—
766C4×D61—42no—
767C4×D61—42no—
768C4×D61—42no—
769C4×D61—42no—
770C4×D61—42no—
771C4×D61—81no—
772C4×D61—81no—
773C4×D61—81no—
774C4×D61—81no—
775Dic122—22no—
776Dic122—22no—
777Dic122—21no—
778Dic122—21no—
779Dic122—21no—
780Dic122—21no—
781Dic122—21no—
782Dic122—21no—
783Dic122—41no—
784Dic122—41no—
785Dic122—81no—
786Dic122—81no—
787C8×C61—21no—
788C8×C61—21no—
789C8×C61—21no—
790C8×C61—21no—
791#92418—21no—
792#92418—21no—
793#92418—21no—
794#92418—21no—
795#61896—611nomaximal, Sylow
796C22×C61—21no—
797C22×C61—21no—
798C22×C61—21no—
799C22×C61—41no—
800C22×C61—41no—
801C22×C61—41no—
802C22×C61—41no—
803C22×C61—41no—
804C22×C61—41no—
805C22×C61—41no—
806C22×C61—41no—
807C22×C61—41no—
808C22×C61C23×D411yescharacteristic
809C2×D61—41no—
810C2×D61—41no—
811C2×D61—41no—
812C2×D61—41no—
813C2×D61—41no—
814C2×D61—41no—
815C2×D61—41no—
816C2×D61—41no—
817C2×D61—41no—
818C4×C61—21no—
819C4×C61—21no—
820C4×C61—21no—
821C4×C61—21no—
822C4×C61—21no—
823C4×C61—41no—
824C4×C61—41no—
825C4×C61—41no—
826C4×C61—41no—
827C4×C61—41no—
828C4×C61#58511yescharacteristic
829C4×C61#58511yescharacteristic
830Dic61—21no—
831Dic61—21no—
832Dic61—21no—
833Dic61—21no—
834Dic61—21no—
835Dic61—21no—
836Dic61—21no—
837Dic61—41no—
838Dic61—41no—
839Dic61—41no—
840Dic61—41no—
841Dic61—41no—
842Dic61#57512yes—
843#3522—611no—
844#3480—611no—
845#3403—611no—
846#3403—611no—
847#3401—611no—
848#3401—611no—
849#3400—611no—
850#3399—611no—
851#3399—611no—
852#3397—611no—
853#3376—611no—
854#3376—611no—
855#3375—611no—
856#3372—611no—
857#3370—611no—
858#3370—611no—
859#3369—611no—
860#3366—611no—
861#3219—611no—
862#3219—611no—
863#3214—611no—
864#3214—611no—
865#3212—611no—
866#3207—611no—
867#3115—611no—
868#3115D6111yescharacteristic, complemented
869#3111—611no—
870#3111—611no—
871#3106—611no—
872#3102—611no—
873#2983—611no—
874C2×C61—41no—
875C2×C61—81no—
876C2×C61—81no—
877C2×C61—81no—
878C2×C61#348711yescharacteristic
879C2×C61C2×#57511yescharacteristic
880C2×C61#358511yescharacteristic
881D61—81no—
882D61—81no—
883D61—81no—
884#559—611no—
885#559—611no—
886#559—611no—
887#559—611no—
888#559—611no—
889#559—611no—
890Q82—611no—
891#557—611no—
892#556—611no—
893#556—611no—
894#556—611no—
895#554—611no—
896#554—611no—
897#554—611no—
898#553—1221no—
899#553—1221no—
900#553—1221no—
901#550—611no—
902#550—611no—
903#548—1221no—
904#548—1221no—
905#547—1221no—
906#547—1221no—
907#547—1221no—
908#542—1221no—
909#542—1221no—
910#542—1221no—
911#532—611no—
912#532—611no—
913#532—611no—
914#532—611no—
915#532—611no—
916#532C2×D6111yescharacteristic
917#529—611no—
918#529—611no—
919#529—611no—
920#529—1221no—
921#529—1221no—
922#529—1221no—
923#520—1221no—
924C4×#41—611no—
925C4×#41—611no—
926C4×#41—1221no—
927C4×#41C2×D6111yescharacteristic
928C2×C4×Q8—611no—
929#497—611no—
930#497—611no—
931#496—611no—
932#496—611no—
933#496—611no—
934#496—611no—
935#496—611no—
936#496—611no—
937#495—611no—
938#495—611no—
939#493—611no—
940#492—611no—
941#491—611no—
942#491—611no—
943#490—611no—
944#490—611no—
945#489—611no—
946#489—611no—
947#489—611no—
948#489—611no—
949#488—611no—
950#488—611no—
951#487—611no—
952#486—611no—
953#485—611no—
954#482—611no—
955#482C2×D6111yescharacteristic
956#482C2×D6111yescharacteristic
957#479—611no—
958#479—611no—
959#479—611no—
960#478—611no—
961#478—611no—
962#478—611no—
963#477—611no—
964#476—611no—
965#475—611no—
966#475C2×D6111yescharacteristic
967#474—611no—
968#474C2×D6111yescharacteristic
969#464—611no—
970#464—611no—
971#464—611no—
972#464—611no—
973#464—611no—
974#464—611no—
975#464—611no—
976#463—611no—
977#463—611no—
978#463—611no—
979#463—611no—
980#463—611no—
981#463—611no—
982#463—611no—
983#463—611no—
984#463—611no—
985#463—611no—
986#463—611no—
987#462—611no—
988#461—611no—
989#461—611no—
990#461—611no—
991#461—611no—
992#461—611no—
993#460—611no—
994#460—611no—
995#460—611no—
996#460C2×D6111yescharacteristic
997#459—611no—
998#459—611no—
999#459—611no—
1000#459—611no—
1001#459—611no—
1002#459—611no—
1003#459—611no—
1004#459C2×D6111yescharacteristic
1005#452—611no—
1006#452—611no—
1007#452—611no—
1008#449—611no—
1009#449—611no—
1010#449—611no—
1011#449—611no—
1012#449—611no—
1013#449—611no—
1014#449—611no—
1015#449C2×D6111yescharacteristic
1016#449C2×D6111yescharacteristic
1017#446—611no—
1018#446—611no—
1019#446—611no—
1020#446—611no—
1021#446—611no—
1022#446—611no—
1023#446—611no—
1024#446—611no—
1025#442—611no—
1026#442—611no—
1027#442—611no—
1028#442—611no—
1029#442C2×D6111yescharacteristic
1030#442C2×D6111yescharacteristic
1031#441—611no—
1032#441—611no—
1033#440—611no—
1034#440—611no—
1035#440—611no—
1036#440—611no—
1037#440—611no—
1038#440—611no—
1039#440C2×D6111yescharacteristic
1040#440C2×D6111yescharacteristic
1041C4×Q16—611no—
1042C4×SD16—611no—
1043C4×SD16—611no—
1044C4×SD16—611no—
1045C4×SD16—611no—
1046C4×D8—611no—
1047C4×D8—611no—
1048C4×D8—611no—
1049#432—611no—
1050#432—611no—
1051#432—611no—
1052#432C2×D6111yescharacteristic
1053#431—611no—
1054#431—611no—
1055C61#6189611yescharacteristic, complemented, Sylow
1056C2×#41—21no—
1057C2×#41—611no—
1058C2×#41—611no—
1059C2×#41—1221no—
1060C2×#41—1221no—
1061C2×#41—1221no—
1062C2×#41—1221no—
1063C2×#41C22×D6111yescharacteristic
1064C22×Q8—611no—
1065C2×Q16—611no—
1066C2×Q16—611no—
1067C2×Q16—611no—
1068C2×SD16—611no—
1069C2×SD16—611no—
1070C2×SD16—611no—
1071C2×SD16—611no—
1072C2×SD16—611no—
1073C2×SD16—611no—
1074C2×SD16—611no—
1075C2×SD16—611no—
1076C2×SD16—611no—
1077C2×SD16—611no—
1078C2×SD16C22×D6111yescharacteristic
1079C2×SD16C22×D6111yescharacteristic
1080C2×D8—611no—
1081C2×D8—611no—
1082C2×D8—611no—
1083C2×D8—611no—
1084C2×D8—611no—
1085C2×D8—611no—
1086C2×D8—611no—
1087C2×D8C22×D6111yescharacteristic
1088C2×D8C22×D6111yescharacteristic
1089C4⋊Q8—611no—
1090C4⋊Q8—611no—
1091C4⋊Q8—611no—
1092C4⋊Q8—611no—
1093C4⋊Q8—611no—
1094C4⋊Q8—1221no—
1095C4⋊Q8—1221no—
1096C4⋊Q8—1221no—
1097C4⋊Q8C22×D6111yescharacteristic
1098#127—611no—
1099#127—611no—
1100#127—611no—
1101#127—611no—
1102#127—611no—
1103#127C22×D6111yescharacteristic
1104#126—1221no—
1105#126—1221no—
1106#126—1221no—
1107#126—1221no—
1108#126—1221no—
1109#126—1221no—
1110#126—1221no—
1111#126—1221no—
1112#126—1221no—
1113#125—611no—
1114#125—611no—
1115#125—611no—
1116#125—1221no—
1117#125—1221no—
1118#125—1221no—
1119#124—21no—
1120#124—611no—
1121#124—611no—
1122#124—611no—
1123#124—611no—
1124#124—611no—
1125#124—611no—
1126#124—611no—
1127#124—611no—
1128#124—611no—
1129#124—1221no—
1130#124—1221no—
1131#124—1221no—
1132#124—1221no—
1133#124—1221no—
1134#124—1221no—
1135#124—1221no—
1136#124—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—
1146#123—1221no—
1147#123—1221no—
1148#123—1221no—
1149#123—1221no—
1150#123—1221no—
1151#123—1221no—
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—
1161C22⋊Q8—1221no—
1162C22⋊Q8—1221no—
1163C22⋊Q8—1221no—
1164C22⋊Q8—1221no—
1165#121—21no—
1166#121—611no—
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#121—1221no—
1177#121—1221no—
1178#121—1221no—
1179#121—1221no—
1180#121—1221no—
1181#121C22×D6111yescharacteristic
1182#121C22×D6111yescharacteristic
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—611no—
1194C4×Q8—611no—
1195C4×Q8—611no—
1196C4×Q8—611no—
1197C4×Q8—611no—
1198C4×Q8—1221no—
1199C4×Q8—1221no—
1200C4×Q8C22×D6111yescharacteristic
1201C4×Q8C22×D6111yescharacteristic
1202C4×D4—21no—
1203C4×D4—21no—
1204C4×D4—21no—
1205C4×D4—611no—
1206C4×D4—611no—
1207C4×D4—611no—
1208C4×D4—611no—
1209C4×D4—611no—
1210C4×D4—611no—
1211C4×D4—611no—
1212C4×D4—611no—
1213C4×D4—611no—
1214C4×D4—611no—
1215C4×D4—611no—
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×D4—1221no—
1226C4×D4—1221no—
1227C4×D4—1221no—
1228C4×D4—1221no—
1229C4×D4—1221no—
1230C4×D4—1221no—
1231C4×D4—1221no—
1232C4×D4—1221no—
1233C4×D4—1221no—
1234C4×D4—1221no—
1235C4×D4—1221no—
1236C4×D4—1221no—
1237C4×D4C22×D6111yescharacteristic
1238C4×D4C22×D6111yescharacteristic
1239C4×D4C22×D6111yescharacteristic
1240C4×D4C22×D6111yescharacteristic
1241#117—21no—
1242#117—1221no—
1243#117—1221no—
1244#117—1221no—
1245#117—1221no—
1246#117—1221no—
1247#117—1221no—
1248#117—1221no—
1249#117—1221no—
1250#117C22×D6111yescharacteristic
1251C2×C4⋊C4—611no—
1252C2×C4⋊C4—611no—
1253C2×C4⋊C4—611no—
1254C2×C4⋊C4—1221no—
1255C2×C4⋊C4—1221no—
1256C2×C4⋊C4—1221no—
1257C2×C42—21no—
1258C2×C42—611no—
1259C2×C42—611no—
1260C2×C42—1221no—
1261C2×C42—1221no—
1262C2×C42C22×D6111yescharacteristic
1263#107—611no—
1264#107—611no—
1265#107C22×D6111yescharacteristic
1266#107C22×D6111yescharacteristic
1267#106—611no—
1268#106—611no—
1269#106C22×D6111yescharacteristic
1270#106C22×D6111yescharacteristic
1271C4⋊C8—611no—
1272C4⋊C8—611no—
1273C4⋊C8—611no—
1274C4⋊C8—611no—
1275C4⋊C8—611no—
1276C4⋊C8—611no—
1277C4⋊C8—611no—
1278C4⋊C8—611no—
1279C4⋊C8—611no—
1280C4⋊C8—611no—
1281C4⋊C8C22×D6111yescharacteristic
1282C4⋊C8C22×D6111yescharacteristic
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#103C22×D6111yescharacteristic
1296#103C22×D6111yescharacteristic
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#102—611no—
1308#102—611no—
1309#102C22×D6111yescharacteristic
1310#102C22×D6111yescharacteristic
1311#102C22×D6111yescharacteristic
1312#102C22×D6111yescharacteristic
1313#102C22×D6111yescharacteristic
1314#102C22×D6111yescharacteristic
1315C22⋊C8—611no—
1316C22⋊C8—611no—
1317C22⋊C8C22×D6111yescharacteristic
1318C22⋊C8C22×D6111yescharacteristic
1319#97—611no—
1320#97—611no—
1321#97—611no—
1322#97—611no—
1323#97—611no—
1324#97—611no—
1325#97C22×D6111yescharacteristic
1326#97C22×D6111yescharacteristic
1327C4×C8—611no—
1328C4×C8—611no—
1329C4×C8—611no—
1330C4×C8—611no—
1331#41—41no—
1332#41—41no—
1333#41—82no—
1334#41—4882no—
1335#41—4882no—
1336#41—2441no—
1337#41—2441no—
1338#41—2441no—
1339#41—2441no—
1340#41—2444no—
1341#41—2444no—
1342C2×Q8—21no—
1343C2×Q8—611no—
1344C2×Q8—611no—
1345C2×Q8—611no—
1346C2×Q8—611no—
1347C2×Q8—611no—
1348C2×Q8—611no—
1349C2×Q8—611no—
1350C2×Q8—1221no—
1351C2×Q8—1221no—
1352C2×Q8—2442no—
1353C2×Q8C23×D6111yescharacteristic
1354C2×D4—21no—
1355C2×D4—21no—
1356C2×D4—21no—
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—611no—
1360C2×D4—611no—
1361C2×D4—611no—
1362C2×D4—1221no—
1363C2×D4—1221no—
1364C2×D4—1221no—
1365C2×D4—1221no—
1366C2×D4—1221no—
1367C2×D4—1221no—
1368C2×D4—1221no—
1369C2×D4—1221no—
1370C2×D4—1221no—
1371C2×D4—1221no—
1372C2×D4—1221no—
1373C2×D4—1221no—
1374C2×D4—1221no—
1375C2×D4C23×D6111yescharacteristic
1376C2×D4C23×D6111yescharacteristic
1377C2×D4C23×D6111yescharacteristic
1378C22×C4—21no—
1379C22×C4—21no—
1380C22×C4—21no—
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—611no—
1384C22×C4—611no—
1385C22×C4—611no—
1386C22×C4—611no—
1387C22×C4—1221no—
1388C22×C4—1221no—
1389C22×C4—1221no—
1390C22×C4—1221no—
1391C22×C4—1221no—
1392C22×C4—1221no—
1393C22×C4—1221no—
1394C22×C4—1221no—
1395C22×C4—1221no—
1396C22×C4—1221no—
1397C22×C4—1221no—
1398C22×C4—1221no—
1399C22×C4—1221no—
1400C22×C4D4×D6111yescharacteristic
1401C22×C4D4×D6111yescharacteristic
1402C22×C4C23×D6111yescharacteristic
1403Q16—2441no—
1404Q16—2441no—
1405Q16—2441no—
1406SD16—41no—
1407SD16—41no—
1408SD16—2441no—
1409SD16—2441no—
1410SD16—2441no—
1411SD16—2441no—
1412SD16—2441no—
1413SD16—2441no—
1414SD16—2441no—
1415SD16—2441no—
1416SD16—2441no—
1417SD16—2441no—
1418D8—41no—
1419D8—41no—
1420D8—2441no—
1421D8—2441no—
1422D8—2441no—
1423D8—2441no—
1424D8—2441no—
1425D8—2441no—
1426D8—2441no—
1427C2×C8—611no—
1428C2×C8—611no—
1429C2×C8—611no—
1430C2×C8—611no—
1431C2×C8C23×D6111yescharacteristic
1432C2×C8C23×D6111yescharacteristic
1433C2×C8C23×D6111yescharacteristic
1434C2×C8C23×D6111yescharacteristic
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—611no—
1439C4⋊C4—611no—
1440C4⋊C4—611no—
1441C4⋊C4—611no—
1442C4⋊C4—611no—
1443C4⋊C4—611no—
1444C4⋊C4—611no—
1445C4⋊C4—611no—
1446C4⋊C4—611no—
1447C4⋊C4—611no—
1448C4⋊C4—611no—
1449C4⋊C4—611no—
1450C4⋊C4—611no—
1451C4⋊C4—611no—
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⋊C4—1221no—
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⋊C4C23×D6111yescharacteristic
1475C4⋊C4C23×D6111yescharacteristic
1476C4⋊C4C23×D6111yescharacteristic
1477C4⋊C4C23×D6111yescharacteristic
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—21no—
1481C22⋊C4—21no—
1482C22⋊C4—21no—
1483C22⋊C4—21no—
1484C22⋊C4—21no—
1485C22⋊C4—1221no—
1486C22⋊C4—1221no—
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⋊C4—1221no—
1513C22⋊C4—1221no—
1514C22⋊C4—1221no—
1515C22⋊C4—1221no—
1516C42—21no—
1517C42—21no—
1518C42—21no—
1519C42—611no—
1520C42—611no—
1521C42—611no—
1522C42—611no—
1523C42—611no—
1524C42—611no—
1525C42—611no—
1526C42—611no—
1527C42—1221no—
1528C42—1221no—
1529C42—1221no—
1530C42—1221no—
1531C42—1221no—
1532C42—1221no—
1533C42—1221no—
1534C42D4×D6111yescharacteristic
1535C42D4×D6111yescharacteristic
1536C42C23×D6111yescharacteristic
1537C42C23×D6111yescharacteristic
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—1221no—
1542C23—1221no—
1543C23—1221no—
1544C23C2×D4×D6111yescharacteristic
1545Q8—21no—
1546Q8—21no—
1547Q8—81no—
1548Q8—1222no—
1549Q8—1222no—
1550Q8—1221no—
1551Q8—1221no—
1552Q8—1221no—
1553Q8—1221no—
1554Q8—1221no—
1555Q8—1221no—
1556Q8—4881no—
1557Q8—4881no—
1558Q8—2441no—
1559Q8—2441no—
1560D4—21no—
1561D4—21no—
1562D4—21no—
1563D4—21no—
1564D4—21no—
1565D4—21no—
1566D4—42no—
1567D4—42no—
1568D4—42no—
1569D4—42no—
1570D4—81no—
1571D4—1221no—
1572D4—1221no—
1573D4—1221no—
1574D4—1221no—
1575D4—1221no—
1576D4—1221no—
1577D4—4881no—
1578D4—4881no—
1579D4—4881no—
1580D4—4881no—
1581D4—4881no—
1582D4—2442no—
1583D4—2442no—
1584D4—2442no—
1585D4—2442no—
1586D4—2442no—
1587D4—2442no—
1588D4—2442no—
1589D4—2442no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—41no—
1598C2×C4—41no—
1599C2×C4—42no—
1600C2×C4—42no—
1601C2×C4—81no—
1602C2×C4—81no—
1603C2×C4—81no—
1604C2×C4—611no—
1605C2×C4—611no—
1606C2×C4—611no—
1607C2×C4—611no—
1608C2×C4—611no—
1609C2×C4—611no—
1610C2×C4—611no—
1611C2×C4—611no—
1612C2×C4—1222no—
1613C2×C4—1221no—
1614C2×C4—1221no—
1615C2×C4—1221no—
1616C2×C4—1221no—
1617C2×C4—1221no—
1618C2×C4—4881no—
1619C2×C4—4881no—
1620C2×C4—4881no—
1621C2×C4—4881no—
1622C2×C4—4881no—
1623C2×C4—4881no—
1624C2×C4—2442no—
1625C2×C4—2442no—
1626C2×C4—2442no—
1627C2×C4—2442no—
1628C2×C4—2442no—
1629C2×C4—2442no—
1630C2×C4—2441no—
1631C2×C4—2441no—
1632C2×C4—2441no—
1633C2×C4—2442no—
1634C2×C4C2×D4×D6111yescharacteristic
1635C2×C4C2×D4×D6111yescharacteristic
1636C2×C4C2×D4×D6111yescharacteristic
1637C2×C4C2×D4×D6111yescharacteristic
1638C2×C4C2×D4×D6111yescharacteristic
1639C2×C4C24×D6111yescharacteristic
1640C8—21no—
1641C8—21no—
1642C8—21no—
1643C8—21no—
1644C8—1221no—
1645C8—1221no—
1646C8—1221no—
1647C8—1221no—
1648C22—21no—
1649C22—21no—
1650C22—21no—
1651C22—41no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—41no—
1657C22—41no—
1658C22—41no—
1659C22—41no—
1660C22—2441no—
1661C22—2441no—
1662C22—2441no—
1663C22—2441no—
1664C22—2441no—
1665C22—2441no—
1666C22—2441no—
1667C22—2441no—
1668C22—2441no—
1669C22C22×D4×D6111yescharacteristic
1670C4—21no—
1671C4—21no—
1672C4—21no—
1673C4—21no—
1674C4—21no—
1675C4—41no—
1676C4—41no—
1677C4—41no—
1678C4—41no—
1679C4—41no—
1680C4—612no—
1681C4—1221no—
1682C4—1221no—
1683C4—1221no—
1684C4—1221no—
1685C4—1221no—
1686C4—1221no—
1687C4—1221no—
1688C4—2441no—
1689C4—2441no—
1690C4—2441no—
1691C4—2441no—
1692C4—2441no—
1693C4#1684059811yescharacteristic
1694C4#1684059811yescharacteristic
1695C2—41no—
1696C2—81no—
1697C2—81no—
1698C2—81no—
1699C2—4881no—
1700C2—4881no—
1701C2—4881no—
1702C2#2145947311yescharacteristic
1703C2#575×D6111yescharacteristic
1704C2#2146059511yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3115C2
socleC22×C61C23×D4
hypercenter#3115D61
hypocenterC61#61896
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3115

Complements

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

NH ≅ G/Ntype
1. #21459896C2semidirect
2. #21459412C2semidirect
3. #21458908C2semidirect
4. #21458902C2semidirect
5. #21458890C2semidirect
6. #21458878C2semidirect
7. #21458873C2semidirect
8. #21458864C2semidirect
9. #21458862C2semidirect
10. #21458834C2semidirect
11. #21458653C2semidirect
12. #21458647C2semidirect
13. #21458636C2semidirect
14. #21458601C2semidirect
15. #21458579C2semidirect
16. #21458573C2semidirect
17. #21458562C2semidirect
18. #21458527C2semidirect
19. #21456858C2semidirect
20. #21456854C2semidirect
21. #21456811C2semidirect
22. #21456810C2semidirect
23. #21456792C2semidirect
24. #21456750C2semidirect
25. #21455965C2semidirect
26. #21455928C2semidirect
27. #21455923C2semidirect
28. #21455874C2semidirect
29. #21455832C2semidirect
30. #21454903C2semidirect
31. C61×#3115C2semidirect
868. #3115D61semidirect
1055. C61#61896semidirect

Maximal subgroups

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

subgroupindex
#214598962
#214594122
#214589082
#214589022
#214588902
#214588782
#214588732
#214588642
#214588622
#214588342
#214586532
#214586472
#214586362
#214586012
#214585792
#214585732
#214585622
#214585272
#214568582
#214568542
#214568112
#214568102
#214567922
#214567502
#214559652
#214559282
#214559232
#214558742
#214558322
#214549032
C61×#31152
#6189661