Finite Group Databasebeta

← #30563028

Subgroups — #30563028

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#21459917C211yesmaximal, characteristic, complemented
2#21459892C211yesmaximal, characteristic, complemented
3#21458878C211yesmaximal, characteristic, complemented
4#21458771C211yesmaximal, characteristic, complemented
5#21458505C211yesmaximal, characteristic, complemented
6#21458484C211yesmaximal, characteristic, complemented
7#21458372C211yesmaximal, characteristic, complemented
8#21458343C211yesmaximal, characteristic, complemented
9#21458317C211yesmaximal, characteristic, complemented
10#21457742C211yesmaximal, characteristic, complemented
11#21457722C211yesmaximal, characteristic, complemented
12#21457707C211yesmaximal, characteristic, complemented
13#21457675C211yesmaximal, characteristic, complemented
14#21457656C211yesmaximal, characteristic, complemented
15#21457443C211yesmaximal, characteristic, complemented
16#21457367C211yesmaximal, characteristic, complemented
17#21457360C211yesmaximal, characteristic, complemented
18#21456509C211yesmaximal, characteristic, complemented
19#21456482C211yesmaximal, characteristic, complemented
20#21456382C211yesmaximal, characteristic, complemented
21#21456055C211yesmaximal, characteristic, complemented
22#21456026C211yesmaximal, characteristic, complemented
23#21456017C211yesmaximal, characteristic, complemented
24#21455998C211yesmaximal, characteristic, complemented
25#21455929C211yesmaximal, characteristic, complemented
26#21455923C211yesmaximal, characteristic, complemented
27#21454787C211yesmaximal, characteristic, complemented
28#21454657C211yesmaximal, characteristic, complemented
29#21454654C211yesmaximal, characteristic, complemented
30#21454587C211yesmaximal, characteristic, complemented
31C61×#3304C211yesmaximal, characteristic, complemented
32C2×#14519809C2211yescharacteristic
33C2×#14519802C2211yescharacteristic
34C2×#14519797C2211yescharacteristic
35#16840498—21no—
36#16840498C2211yescharacteristic, complemented
37#16840488C2211yescharacteristic, complemented
38#16840484C2211yescharacteristic
39#16840476—21no—
40#16840476C2211yescharacteristic, complemented
41#16840473C2211yescharacteristic
42#16840464—21no—
43#16840464C2211yescharacteristic
44#16840463—21no—
45#16840456C2211yescharacteristic
46#16840453—21no—
47#16840452—21no—
48#16840452C2211yescharacteristic
49#16840451C2211yescharacteristic
50#16840442—21no—
51#16840437—21no—
52#16840419C2211yescharacteristic
53#16840419C2211yescharacteristic, complemented
54#16840414C2211yescharacteristic
55#16840408C2211yescharacteristic
56#16840403C2211yescharacteristic
57#16840386C2211yescharacteristic
58#16840379—21no—
59#16840379C2211yescharacteristic
60#16840372C2211yescharacteristic
61#16840366—21no—
62#16840366C2211yescharacteristic, complemented
63#16840353—21no—
64#16840346—21no—
65#16840299—21no—
66#16840298C2211yescharacteristic
67#16840293—21no—
68#16840293C2211yescharacteristic, complemented
69#16840292—21no—
70#16840292C2211yescharacteristic
71#126×D61—21no—
72#16840245C2211yescharacteristic
73#16840244C2211yescharacteristic
74#16840238C2211yescharacteristic, complemented
75#16840236C2211yescharacteristic
76#41×Dic61C2211yescharacteristic, complemented
77#16840230C2211yescharacteristic
78#16840169C2211yescharacteristic, complemented
79#16840168C2211yescharacteristic, complemented
80#16840162C2211yescharacteristic, complemented
81#16840153C2211yescharacteristic, complemented
82#16840149C2211yescharacteristic
83#16840143C2211yescharacteristic
84#16840118C2211yescharacteristic
85#16840117C2211yescharacteristic
86#16840115C2211yescharacteristic, complemented
87#16840115C2211yescharacteristic, complemented
88#16840111C2211yescharacteristic, complemented
89#16840106C2211yescharacteristic, complemented
90#16840103C2211yescharacteristic
91#16840103C2211yescharacteristic, complemented
92#16840100C2211yescharacteristic, complemented
93#16840095C2211yescharacteristic
94#16840093C2211yescharacteristic
95#16840088C2211yescharacteristic
96#16840087C2211yescharacteristic
97#16840079C2211yescharacteristic, complemented
98#16840074C2211yescharacteristic, complemented
99#16840071C2211yescharacteristic, complemented
100#16840069C2211yescharacteristic, complemented
101#16840068C2211yescharacteristic, complemented
102#16840067C2211yescharacteristic, complemented
103#16840064C2211yescharacteristic, complemented
104#16840064C2211yescharacteristic, complemented
105#16840063C2211yescharacteristic
106#16840061C2211yescharacteristic
107#16840054C2211yescharacteristic, complemented
108#16840051C2211yescharacteristic
109#16840041C2211yescharacteristic
110#16840018C2211yescharacteristic
111#16840014C2211yescharacteristic
112#16840007C2211yescharacteristic, complemented
113#16840006C2211yescharacteristic
114#16840003C2211yescharacteristic
115#16840001C2211yescharacteristic, complemented
116#16839997C2211yescharacteristic
117#16839996C2211yescharacteristic
118#16839991C2211yescharacteristic
119#16839990C2211yescharacteristic, complemented
120#16839986C2211yescharacteristic
121#16839985C2211yescharacteristic
122#16839984C2211yescharacteristic
123#16839983C2211yescharacteristic, complemented
124#16839979C2211yescharacteristic
125#16839976C2211yescharacteristic
126#16839976C2211yescharacteristic
127#16839976C2211yescharacteristic
128#16839970C2211yescharacteristic, complemented
129#16839965C2211yescharacteristic, complemented
130#16839954C2211yescharacteristic
131#16839926C2211yescharacteristic
132#16839924C2211yescharacteristic
133#16839919C2211yescharacteristic, complemented
134#16839915C2211yescharacteristic
135#16839907C2211yescharacteristic
136#16839906C2211yescharacteristic
137#16839906C2211yescharacteristic
138#16839905C2211yescharacteristic
139#16839902C2211yescharacteristic
140#16839895C2211yescharacteristic
141#16839891C2211yescharacteristic, complemented
142C8×Dic122C2211yescharacteristic, complemented
143#16839871C2211yescharacteristic
144#16839871C2211yescharacteristic
145#16839871C2211yescharacteristic
146#16839869C2211yescharacteristic, complemented
147#16839868C2211yescharacteristic, complemented
148#16839867C2211yescharacteristic, complemented
149#16839865C2211yescharacteristic
150#16839865C2211yescharacteristic
151#16839863C2211yescharacteristic, complemented
152#16839861C2211yescharacteristic
153#16839860C2211yescharacteristic
154#16839859C2211yescharacteristic, complemented
155#16839854C2211yescharacteristic, complemented
156#16839854C2211yescharacteristic, complemented
157#16839854C2211yescharacteristic, complemented
158#16839853C2211yescharacteristic, complemented
159#16839853C2211yescharacteristic, complemented
160C4×#11758190C2211yescharacteristic
161SD16×Dic61C2211yescharacteristic, complemented
162#16839849C2211yescharacteristic
163#16839847C2211yescharacteristic
164#16839847C2211yescharacteristic
165#16839847C2211yescharacteristic
166#16839842C2211yescharacteristic
167#16839842C2211yescharacteristic
168#16839842C2211yescharacteristic
169#16839842C2211yescharacteristic
170#16839837C2211yescharacteristic
171#16839834C2211yescharacteristic
172#16839830C2211yescharacteristic, complemented
173C8×C22⋊D61C2211yescharacteristic
174C8×C22⋊D61C2211yescharacteristic, complemented
175#16839822C2211yescharacteristic, complemented
176#16839820C2211yescharacteristic
177#16839816C2211yescharacteristic, complemented
178#16839805C2211yescharacteristic
179#16839803C2211yescharacteristic, complemented
180#16839798C2211yescharacteristic, complemented
181#16839759C2211yescharacteristic
182#16839757C2211yescharacteristic
183#103×D61C2211yescharacteristic, complemented
184C2×#14519699C2211yescharacteristic
185#16839717C2211yescharacteristic
186#16839716C2211yescharacteristic, complemented
187C2×C8×Dic61C2211yescharacteristic, complemented
188C61×#556C2211yescharacteristic
189C61×#550C2211yescharacteristic
190C61×#486C2211yescharacteristic, complemented
191C61×#482C2211yescharacteristic
192C61×#482C2211yescharacteristic, complemented
193C61×#475C2211yescharacteristic, complemented
194C61×#465C2211yescharacteristic
195C61×#465C2211yescharacteristic, complemented
196C61×#460C2211yescharacteristic, complemented
197C61×#452C2211yescharacteristic
198C61×#452C2211yescharacteristic, complemented
199C4×Q16×C61C2211yescharacteristic, complemented
200C8×D4×C61C2211yescharacteristic
201C61×#416C2211yescharacteristic
202C61×#416C2211yescharacteristic, complemented
203C2×#11758226C2311yescharacteristic
204C2×#11758222C2311yescharacteristic
205C2×Q8×D61C2311yescharacteristic
206C22×D244C2311yescharacteristic
207#14519809—24no—
208#14519802—24no—
209#14519797—24no—
210C2×Dic244C2311yescharacteristic
211C2×#11758202C2311yescharacteristic
212C2×#11758202C2311yescharacteristic
213C2×#11758190C2311yescharacteristic
214C2×#11758190C2311yescharacteristic
215C2×#11758200C2311yescharacteristic
216C2×#11758200C2311yescharacteristic
217C2×#11758201C2311yescharacteristic
218C2×#11758201C2311yescharacteristic
219C2×#11758199C2311yescharacteristic
220C2×#11758199C2311yescharacteristic
221C2×#11758199C2311yescharacteristic
222C2×#11758199C2311yescharacteristic
223C2×#11758194C2311yescharacteristic
224C2×#11758189C2311yescharacteristic
225C22×#92418C2311yescharacteristic
226C2×C8×D61C2311yescharacteristic
227#14519776—21no—
228#14519776C2311yescharacteristic
229#14519775C2311yescharacteristic
230#14519772—21no—
231#14519772—21no—
232#14519772—21no—
233#14519772D411yescharacteristic
234#14519771—21no—
235#14519771—21no—
236#14519770—21no—
237#14519770—21no—
238#14519770—21no—
239#14519770—21no—
240#14519770—21no—
241#14519770—21no—
242#14519770—21no—
243#14519770D411yescharacteristic
244#14519769—21no—
245#14519769—21no—
246#14519769C2311yescharacteristic
247#14519768—21no—
248#14519768—21no—
249#14519768C2311yescharacteristic
250#14519768C2311yescharacteristic
251#14519768C2311yescharacteristic
252#14519767—21no—
253#14519767—21no—
254#14519767D411yescharacteristic
255#14519766—21no—
256#14519766C2311yescharacteristic
257#14519765C2311yescharacteristic
258#14519764—21no—
259#14519764—21no—
260#14519764—21no—
261#14519764—21no—
262#14519764—21no—
263#14519764C2311yescharacteristic
264#14519764C2311yescharacteristic
265#14519763—21no—
266#14519763D411yescharacteristic
267#14519762—21no—
268#14519762—21no—
269#14519762—21no—
270#14519762—21no—
271#14519761—21no—
272#14519761—21no—
273#14519761D411yescharacteristic
274#14519759—21no—
275#14519759—21no—
276#14519759—21no—
277#14519758—21no—
278#14519758—21no—
279#14519758—21no—
280#14519758—21no—
281#14519758—21no—
282#14519758—21no—
283#14519758—21no—
284#14519758D411yescharacteristic
285#14519757—21no—
286#14519757C2311yescharacteristic
287#14519756—21no—
288#14519756—21no—
289#14519756C2311yescharacteristic
290#14519756C2311yescharacteristic
291#14519756C2311yescharacteristic
292#14519755—21no—
293#14519754—21no—
294#14519754D411yescharacteristic
295#14519753—21no—
296#14519753—21no—
297#14519753—21no—
298#14519752—21no—
299#14519752C2311yescharacteristic
300#14519751C2311yescharacteristic
301#14519750—21no—
302#14519750—21no—
303#14519750—21no—
304#14519749—21no—
305#14519749—21no—
306#14519749—21no—
307#14519749—21no—
308#14519749D411yescharacteristic
309#14519748—21no—
310#14519748—21no—
311#14519748C2311yescharacteristic
312#14519748C2311yescharacteristic
313#14519747—21no—
314#14519745—21no—
315Q8×Dic61C2311yescharacteristic
316Q8×Dic61C2311yescharacteristic
317Q8×Dic61C2311yescharacteristic
318Q8×Dic61C2311yescharacteristic
319C4×Dic122—21no—
320C4×Dic122—21no—
321C4×Dic122C2311yescharacteristic
322C4×Dic122C2311yescharacteristic
323#14519742—21no—
324#14519742C2311yescharacteristic
325#14519742C2311yescharacteristic
326#14519742C2311yescharacteristic
327C4×D244—21no—
328C4×D244—21no—
329C4×D244—21no—
330C4×D244—21no—
331C4×D244C2311yescharacteristic
332D4×Dic61—21no—
333D4×Dic61—21no—
334D4×Dic61—21no—
335D4×Dic61—21no—
336D4×Dic61—21no—
337D4×Dic61—21no—
338D4×Dic61—21no—
339D4×Dic61C2311yescharacteristic
340D4×Dic61C2311yescharacteristic
341D4×Dic61C2311yescharacteristic
342D4×Dic61C2311yescharacteristic
343#14519739—21no—
344#14519739C2311yescharacteristic
345#14519739C2311yescharacteristic
346#14519739C2311yescharacteristic
347#14519739C2311yescharacteristic
348#14519739C2311yescharacteristic
349C4×C22⋊D61—21no—
350C4×C22⋊D61—21no—
351C4×C22⋊D61C2311yescharacteristic
352C4×C22⋊D61C2311yescharacteristic
353#14519737—21no—
354#14519737—21no—
355#14519737—21no—
356#14519736—21no—
357#14519736—21no—
358#14519736C2311yescharacteristic
359#14519736C2311yescharacteristic
360#14519735—21no—
361#14519735—21no—
362#14519735C2311yescharacteristic
363#14519734—21no—
364#14519734—21no—
365#14519734—21no—
366#14519734—21no—
367#14519734—21no—
368#14519734C2311yescharacteristic
369#14519733—21no—
370#14519733—21no—
371#14519733—21no—
372C2×C4⋊Dic61—21no—
373C2×C4⋊Dic61C2311yescharacteristic
374C4⋊C4×D61—21no—
375C4⋊C4×D61—21no—
376C4⋊C4×D61—21no—
377C4⋊C4×D61C2311yescharacteristic
378C22⋊C4×D61—21no—
379C22⋊C4×D61—21no—
380C22⋊C4×D61—21no—
381C22⋊C4×D61—21no—
382C2×C4×Dic61—21no—
383C2×C4×Dic61C2311yescharacteristic
384C42×D61—21no—
385#14519711C2311yescharacteristic
386#14519710C2311yescharacteristic
387#14519710C2311yescharacteristic
388#14519710C2311yescharacteristic
389#14519710C2311yescharacteristic
390#14519710C2311yescharacteristic
391#14519710C2311yescharacteristic
392#14519709C2311yescharacteristic
393#14519709C2311yescharacteristic
394#14519708C2311yescharacteristic
395#14519708C2311yescharacteristic
396#14519708C2311yescharacteristic
397#14519708C2311yescharacteristic
398C4⋊#92418C2311yescharacteristic
399#14519706C2311yescharacteristic
400#14519706C2311yescharacteristic
401#14519706C2311yescharacteristic
402#14519706C2311yescharacteristic
403#14519702C2311yescharacteristic
404#14519702C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519701C2311yescharacteristic
408#14519701C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519700C2311yescharacteristic
412#14519700C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519699C2311yescharacteristic
416#14519699C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519697C2311yescharacteristic
424#14519697C2311yescharacteristic
425C22⋊#92418C2311yescharacteristic
426C22⋊#92418C2311yescharacteristic
427#14519689C2311yescharacteristic
428#14519689C2311yescharacteristic
429#14519688C2311yescharacteristic
430#14519687C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C8×Dic61C2311yescharacteristic
434C8×Dic61C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C2×#41×C61C2311yescharacteristic
439C2×#41×C61C2311yescharacteristic
440C2×Q16×C61C2311yescharacteristic
441C2×SD16×C61C2311yescharacteristic
442C2×SD16×C61C2311yescharacteristic
443C22×C8×C61C2311yescharacteristic
444C22×C8×C61C2311yescharacteristic
445C4⋊Q8×C61C2311yescharacteristic
446#127×C61—21no—
447#127×C61C2311yescharacteristic
448#126×C61—21no—
449#126×C61—21no—
450#124×C61—21no—
451C22⋊Q8×C61C2311yescharacteristic
452C22⋊Q8×C61C2311yescharacteristic
453#121×C61—21no—
454#121×C61—21no—
455#121×C61C2311yescharacteristic
456#121×C61C2311yescharacteristic
457C4×Q8×C61—21no—
458C4×Q8×C61C2311yescharacteristic
459C4×Q8×C61C2311yescharacteristic
460C4×D4×C61—21no—
461C4×D4×C61C2311yescharacteristic
462#117×C61C2311yescharacteristic
463#117×C61C2311yescharacteristic
464#107×C61C2311yescharacteristic
465#106×C61C2311yescharacteristic
466#106×C61C2311yescharacteristic
467C4⋊C8×C61C2311yescharacteristic
468#103×C61C2311yescharacteristic
469#103×C61C2311yescharacteristic
470#103×C61C2311yescharacteristic
471#103×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
480C4×C8×C61C2311yescharacteristic
481C23×D61—21no—
482#41×C61—22no—
483#41×C61—22no—
484#41×C61—41no—
485#41×C61—41no—
486C2×Q8×C61—21no—
487C2×Q8×C61C2411yescharacteristic
488C2×Q8×C61C2411yescharacteristic
489C2×D4×C61—21no—
490C2×D4×C61—21no—
491C2×D4×C61—21no—
492C2×D4×C61—21no—
493C2×D4×C61—21no—
494C2×D4×C61—21no—
495C2×D4×C61C2×D411yescharacteristic
496C2×D4×C61C2411yescharacteristic
497C2×D4×C61C2411yescharacteristic
498C22×C4×C61—21no—
499C22×C4×C61—21no—
500C22×C4×C61C2411yescharacteristic
501C22×C4×C61C2411yescharacteristic
502C2×C22⋊D61—21no—
503C2×C22⋊D61—21no—
504C2×C22⋊D61—21no—
505C2×C22⋊D61—21no—
506C2×C22⋊D61C2×D411yescharacteristic
507C2×C22⋊D61C2×D411yescharacteristic
508C22×Dic61—21no—
509C22×Dic61—21no—
510C22×Dic61—21no—
511C22×Dic61—21no—
512C22×Dic61—21no—
513C22×Dic61C2×D411yescharacteristic
514C22×Dic61C2×D411yescharacteristic
515#11758226—22no—
516#11758226—41no—
517Q8×D61—22no—
518Q8×D61—41no—
519#11758222—22no—
520#11758222—41no—
521C2×D244—22no—
522C2×D244—21no—
523C2×D244—21no—
524C2×D244—21no—
525C2×D244—41no—
526C2×D244C2411yescharacteristic
527C2×D244C2411yescharacteristic
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×D61—21no—
535C2×C4×D61—21no—
536C2×C4×D61—21no—
537C2×C4×D61—21no—
538C2×C4×D61C2411yescharacteristic
539C2×Dic122—21no—
540C2×Dic122—21no—
541C2×Dic122C2×D411yescharacteristic
542C2×Dic122C2411yescharacteristic
543C2×Dic122C2411yescharacteristic
544Q16×C61—22no—
545SD16×C61—41no—
546SD16×C61—41no—
547C2×C8×C61—41no—
548C2×C8×C61—41no—
549C2×C8×C61C2411yescharacteristic
550C2×C8×C61C2411yescharacteristic
551C2×C8×C61C2411yescharacteristic
552C2×C8×C61C2411yescharacteristic
553C4⋊C4×C61—21no—
554C4⋊C4×C61—21no—
555C4⋊C4×C61—21no—
556C4⋊C4×C61—21no—
557C4⋊C4×C61—21no—
558C4⋊C4×C61C2×D411yescharacteristic
559C4⋊C4×C61C2411yescharacteristic
560C4⋊C4×C61C2411yescharacteristic
561C4⋊C4×C61C2411yescharacteristic
562C4⋊C4×C61C2411yescharacteristic
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×C61C2×D411yescharacteristic
570C22⋊C4×C61C2×D411yescharacteristic
571C42×C61—21no—
572C42×C61—21no—
573C42×C61—21no—
574C42×C61—21no—
575C42×C61C2411yescharacteristic
576C22⋊Dic61—21no—
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⋊Dic61—21no—
589C22⋊Dic61—21no—
590C22⋊Dic61C2×D411yescharacteristic
591C22⋊Dic61C2×D411yescharacteristic
592C22⋊Dic61C2×D411yescharacteristic
593C22⋊Dic61C2×D411yescharacteristic
594#11758202—22no—
595#11758202—22no—
596#11758201—22no—
597#11758201#4114yes—
598#11758200—22no—
599#11758200—41no—
600#11758199—22no—
601#11758199—22no—
602#11758199—22no—
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#11758198C2×D411yescharacteristic
619#11758198C2×D411yescharacteristic
620#11758198C2×D411yescharacteristic
621#11758198C2×D411yescharacteristic
622C4⋊Dic61—21no—
623C4⋊Dic61—21no—
624C4⋊Dic61—21no—
625C4⋊Dic61—21no—
626C4⋊Dic61—21no—
627C4⋊Dic61—21no—
628C4⋊Dic61—21no—
629C4⋊Dic61—21no—
630C4⋊Dic61—21no—
631C4⋊Dic61C2×D411yescharacteristic
632C4⋊Dic61C2×D411yescharacteristic
633C4⋊Dic61C2×D411yescharacteristic
634C4⋊Dic61C2411yescharacteristic
635C4⋊Dic61C2411yescharacteristic
636C4⋊Dic61C2411yescharacteristic
637C4⋊Dic61C2411yescharacteristic
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#11758196C2×D411yescharacteristic
655#11758196C2×D411yescharacteristic
656#11758196C2×D411yescharacteristic
657#11758196C2×D411yescharacteristic
658#11758196C2×D411yescharacteristic
659#11758196C2×D411yescharacteristic
660C4×Dic61—21no—
661C4×Dic61—21no—
662C4×Dic61—21no—
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×Dic61C2411yescharacteristic
673C4×Dic61C2411yescharacteristic
674C4×Dic61C2411yescharacteristic
675#11758194—22no—
676C2×#92418—22no—
677C2×#92418C2411yescharacteristic
678C2×#92418C2411yescharacteristic
679C2×#92418C2411yescharacteristic
680C2×#92418C2411yescharacteristic
681Dic244—41no—
682#11758190—22no—
683#11758190—41no—
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—21no—
697Q8×C61—21no—
698Q8×C61—21no—
699Q8×C61—81no—
700Q8×C61C2×#4112yes—
701D4×C61—21no—
702D4×C61—21no—
703D4×C61—21no—
704D4×C61—21no—
705D4×C61—41no—
706D4×C61—42no—
707D4×C61—42no—
708D4×C61—81no—
709D4×C61—81no—
710D4×C61—81no—
711D4×C61—81no—
712C2×C4×C61—21no—
713C2×C4×C61—21no—
714C2×C4×C61—21no—
715C2×C4×C61—21no—
716C2×C4×C61—21no—
717C2×C4×C61—21no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—42no—
723C2×C4×C61—42no—
724C2×C4×C61C22×D411yescharacteristic
725C2×C4×C61C22×D411yescharacteristic
726C2×C4×C61C22×D411yescharacteristic
727C2×C4×C61C22×D411yescharacteristic
728C2×C4×C61C2511yescharacteristic
729C22⋊D61—41no—
730C22⋊D61—41no—
731C22⋊D61—42no—
732C22⋊D61—81no—
733C22⋊D61—81no—
734C22⋊D61—81no—
735C2×Dic61—21no—
736C2×Dic61—21no—
737C2×Dic61—21no—
738C2×Dic61—21no—
739C2×Dic61—21no—
740C2×Dic61—21no—
741C2×Dic61—41no—
742C2×Dic61—41no—
743C2×Dic61—81no—
744C2×Dic61—81no—
745C2×Dic61—81no—
746C2×Dic61—81no—
747C2×Dic61—81no—
748C2×Dic61C22×D411yescharacteristic
749C2×Dic61C22×D411yescharacteristic
750C2×Dic61C22×D411yescharacteristic
751C2×Dic61C22×D411yescharacteristic
752C2×Dic61C22×D411yescharacteristic
753C2×Dic61C22×D411yescharacteristic
754C2×Dic61C22×D411yescharacteristic
755D244—21no—
756D244—21no—
757D244—21no—
758D244—42no—
759D244—42no—
760D244—81no—
761D244C2×#4112yes—
762C4×D61—21no—
763C4×D61—21no—
764C4×D61—42no—
765C4×D61—42no—
766C4×D61—42no—
767C4×D61—81no—
768C4×D61—81no—
769C4×D61—81no—
770C4×D61—81no—
771C4×D61—81no—
772C4×D61—81no—
773C4×D61—81no—
774Dic122—21no—
775Dic122—21no—
776Dic122—21no—
777Dic122—21no—
778Dic122—41no—
779Dic122—42no—
780Dic122—81no—
781C8×C61—21no—
782C8×C61—21no—
783C8×C61—21no—
784C8×C61—21no—
785#92418—21no—
786#92418—21no—
787#92418—21no—
788#92418C2×#4112yes—
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—22no—
816C4×C61—21no—
817C4×C61—21no—
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—21no—
832Dic61—41no—
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#3347—611no—
847#3304D6111yescharacteristic, complemented
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#556C2×D6111yescharacteristic
887#555—611no—
888#555—1221no—
889#554—611no—
890#553—611no—
891#553—611no—
892#553—1221no—
893#553—1221no—
894#552—611no—
895#552—611no—
896#552—1221no—
897#552—1221no—
898#551—1221no—
899#551—1221no—
900#550C2×D6111yescharacteristic
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#501—611no—
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#486C2×D6111yescharacteristic, complemented
939#485—611no—
940#485—611no—
941#485—611no—
942#485—611no—
943#484—611no—
944#483—611no—
945#482—611no—
946#482—611no—
947#482C2×D6111yescharacteristic
948#482C2×D6111yescharacteristic, complemented
949#481—611no—
950#480—611no—
951#479—611no—
952#479—611no—
953#479—611no—
954#479—611no—
955#478—611no—
956#478—611no—
957#478—611no—
958#478—611no—
959#477—611no—
960#476—611no—
961#475C2×D6111yescharacteristic, complemented
962#474—611no—
963#470—611no—
964#469—611no—
965#468—611no—
966#468—611no—
967#467—611no—
968#467—611no—
969#466—611no—
970#466—611no—
971#465—611no—
972#465—611no—
973#465C2×D6111yescharacteristic
974#465C2×D6111yescharacteristic, complemented
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#460C2×D6111yescharacteristic, complemented
986#459—611no—
987#452—611no—
988#452—611no—
989#452C2×D6111yescharacteristic
990#452C2×D6111yescharacteristic, complemented
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#442—611no—
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×Q16C2×D6111yescharacteristic, complemented
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#435—611no—
1032C8×D4—611no—
1033C8×D4—611no—
1034C8×D4C2×D6111yescharacteristic
1035#433—611no—
1036#433—611no—
1037#432—611no—
1038#428—611no—
1039#428—611no—
1040#427—611no—
1041#416—611no—
1042#416—611no—
1043#416C2×D6111yescharacteristic
1044#416C2×D6111yescharacteristic, complemented
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×#41C22×D6111yescharacteristic
1054C2×#41C22×D6111yescharacteristic
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×Q16C22×D6111yescharacteristic
1064C2×SD16—611no—
1065C2×SD16—611no—
1066C2×SD16—611no—
1067C2×SD16—611no—
1068C2×SD16—611no—
1069C2×SD16—611no—
1070C2×SD16C22×D6111yescharacteristic
1071C2×SD16C22×D6111yescharacteristic
1072C2×D8—611no—
1073C2×D8—611no—
1074C2×D8—611no—
1075C2×D8—611no—
1076C2×M16—611no—
1077C2×M16—611no—
1078C22×C8—611no—
1079C22×C8—611no—
1080C22×C8C22×D6111yescharacteristic
1081C22×C8C22×D6111yescharacteristic
1082C4⋊Q8—611no—
1083C4⋊Q8—611no—
1084C4⋊Q8—1221no—
1085C4⋊Q8C22×D6111yescharacteristic
1086#127—21no—
1087#127C22×D6111yescharacteristic
1088#126—21no—
1089#126—21no—
1090#126—611no—
1091#126—611no—
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—611no—
1109#125—1221no—
1110#125—1221no—
1111#125—1221no—
1112#125—1221no—
1113#125—1221no—
1114#125—1221no—
1115#124—21no—
1116#124—611no—
1117#124—611no—
1118#124—611no—
1119#124—611no—
1120#124—611no—
1121#124—1221no—
1122#124—1221no—
1123#124—1221no—
1124#124—1221no—
1125#124—1221no—
1126#124—1221no—
1127#124—1221no—
1128#123—611no—
1129#123—611no—
1130#123—1221no—
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—1221no—
1152C22⋊Q8—1221no—
1153C22⋊Q8—1221no—
1154C22⋊Q8—1221no—
1155C22⋊Q8—1221no—
1156C22⋊Q8—1221no—
1157C22⋊Q8—1221no—
1158C22⋊Q8—1221no—
1159C22⋊Q8C22×D6111yescharacteristic
1160C22⋊Q8C22×D6111yescharacteristic
1161#121—21no—
1162#121—21no—
1163#121—611no—
1164#121—611no—
1165#121—611no—
1166#121—611no—
1167#121—611no—
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#121C22×D6111yescharacteristic
1179#121C22×D6111yescharacteristic
1180#120—1221no—
1181#120—1221no—
1182C4×Q8—21no—
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—1221no—
1193C4×Q8—1221no—
1194C4×Q8—1221no—
1195C4×Q8C22×D6111yescharacteristic
1196C4×Q8C22×D6111yescharacteristic
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—611no—
1209C4×D4—611no—
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×D4—1221no—
1226C4×D4—1221no—
1227C4×D4C22×D6111yescharacteristic
1228#117—611no—
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#117—1221no—
1244#117C22×D6111yescharacteristic
1245#117C22×D6111yescharacteristic
1246C2×C4⋊C4—611no—
1247C2×C4⋊C4—611no—
1248C2×C4⋊C4—1221no—
1249C2×C4⋊C4—1221no—
1250C2×C4⋊C4—1221no—
1251C2×C4⋊C4—1221no—
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#107—611no—
1263#107—611no—
1264#107—611no—
1265#107—611no—
1266#107C22×D6111yescharacteristic
1267#106—611no—
1268#106—611no—
1269#106—611no—
1270#106—611no—
1271#106—611no—
1272#106—611no—
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#103C22×D6111yescharacteristic
1294#103C22×D6111yescharacteristic
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#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#97—611no—
1323C4×C8—611no—
1324C4×C8—611no—
1325C4×C8—611no—
1326C4×C8—611no—
1327C4×C8—611no—
1328C4×C8C22×D6111yescharacteristic
1329C24—1221no—
1330#41—22no—
1331#41—22no—
1332#41—41no—
1333#41—41no—
1334#41—1222no—
1335#41—1222no—
1336#41—2441no—
1337#41—2441no—
1338C2×Q8—21no—
1339C2×Q8—611no—
1340C2×Q8—611no—
1341C2×Q8—611no—
1342C2×Q8—1221no—
1343C2×Q8—1221no—
1344C2×Q8—1222no—
1345C2×Q8—2441no—
1346C2×Q8C23×D6111yescharacteristic
1347C2×Q8C23×D6111yescharacteristic
1348C2×D4—21no—
1349C2×D4—21no—
1350C2×D4—21no—
1351C2×D4—21no—
1352C2×D4—21no—
1353C2×D4—21no—
1354C2×D4—611no—
1355C2×D4—611no—
1356C2×D4—611no—
1357C2×D4—611no—
1358C2×D4—1222no—
1359C2×D4—1221no—
1360C2×D4—1221no—
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—611no—
1373C22×C4—611no—
1374C22×C4—611no—
1375C22×C4—1221no—
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—22no—
1393Q16—1222no—
1394Q16—1222no—
1395Q16—2441no—
1396SD16—41no—
1397SD16—41no—
1398SD16—614no—
1399SD16—1222no—
1400SD16—1222no—
1401SD16—1222no—
1402SD16—2441no—
1403SD16—2441no—
1404D8—1222no—
1405D8—1222no—
1406D8—1222no—
1407D8—2441no—
1408M16—1222no—
1409M16—1222no—
1410C2×C8—41no—
1411C2×C8—41no—
1412C2×C8—611no—
1413C2×C8—611no—
1414C2×C8—611no—
1415C2×C8—611no—
1416C2×C8—1222no—
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—21no—
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—611no—
1438C4⋊C4—611no—
1439C4⋊C4—611no—
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⋊C4—1221no—
1464C4⋊C4—1221no—
1465C4⋊C4D4×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—611no—
1477C22⋊C4—611no—
1478C22⋊C4—611no—
1479C22⋊C4—611no—
1480C22⋊C4—611no—
1481C22⋊C4—611no—
1482C22⋊C4—611no—
1483C22⋊C4—611no—
1484C22⋊C4—1221no—
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⋊C4D4×D6111yescharacteristic
1513C22⋊C4D4×D6111yescharacteristic
1514C42—21no—
1515C42—21no—
1516C42—21no—
1517C42—21no—
1518C42—611no—
1519C42—611no—
1520C42—611no—
1521C42—611no—
1522C42—611no—
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—21no—
1545Q8—21no—
1546Q8—21no—
1547Q8—81no—
1548Q8—1221no—
1549Q8—1221no—
1550Q8—1221no—
1551Q8—1221no—
1552Q8—4881no—
1553Q8—2441no—
1554Q8—2442no—
1555Q8#41×D6112yes—
1556D4—21no—
1557D4—21no—
1558D4—21no—
1559D4—21no—
1560D4—41no—
1561D4—42no—
1562D4—42no—
1563D4—81no—
1564D4—81no—
1565D4—81no—
1566D4—81no—
1567D4—612no—
1568D4—1221no—
1569D4—1221no—
1570D4—1221no—
1571D4—4881no—
1572D4—4881no—
1573D4—4881no—
1574D4—4881no—
1575D4—2442no—
1576D4—2442no—
1577D4—2441no—
1578D4—2441no—
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—42no—
1591C2×C4—42no—
1592C2×C4—611no—
1593C2×C4—611no—
1594C2×C4—611no—
1595C2×C4—611no—
1596C2×C4—611no—
1597C2×C4—611no—
1598C2×C4—611no—
1599C2×C4—1221no—
1600C2×C4—1221no—
1601C2×C4—1221no—
1602C2×C4—1221no—
1603C2×C4—1221no—
1604C2×C4—1221no—
1605C2×C4—1221no—
1606C2×C4—1221no—
1607C2×C4—4881no—
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—4881no—
1618C2×C4—4881no—
1619C2×C4—2442no—
1620C2×C4—2442no—
1621C2×C4—2442no—
1622C2×C4—2441no—
1623C2×C4—2441no—
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—21no—
1633C8—612no—
1634C8—1221no—
1635C8—1221no—
1636C8—1221no—
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—22no—
1663C4—21no—
1664C4—21no—
1665C4—41no—
1666C4—41no—
1667C4—41no—
1668C4—41no—
1669C4—41no—
1670C4—1221no—
1671C4—1221no—
1672C4—1221no—
1673C4—1221no—
1674C4—1221no—
1675C4—1221no—
1676C4—1221no—
1677C4—2441no—
1678C4—2441no—
1679C4—2441no—
1680C4—2441no—
1681C4—2441no—
1682C4—2441no—
1683C4C2×#41×D6111yescharacteristic
1684C4#1684059711yescharacteristic
1685C2—41no—
1686C2—41no—
1687C2—81no—
1688C2—81no—
1689C2—4881no—
1690C2—2441no—
1691C2—2442no—
1692C2#2145930311yescharacteristic
1693C2#2146058811yescharacteristic
1694C2#2146059111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3304C2
socleC22×C61C23×D4
hypercenter#3304D61
hypocenterC61#61500
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3304

Complements

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

NH ≅ G/Ntype
1. #21459917C2semidirect
2. #21459892C2semidirect
3. #21458878C2semidirect
4. #21458771C2semidirect
5. #21458505C2semidirect
6. #21458484C2semidirect
7. #21458372C2semidirect
8. #21458343C2semidirect
9. #21458317C2semidirect
10. #21457742C2semidirect
11. #21457722C2semidirect
12. #21457707C2semidirect
13. #21457675C2semidirect
14. #21457656C2semidirect
15. #21457443C2semidirect
16. #21457367C2semidirect
17. #21457360C2semidirect
18. #21456509C2semidirect
19. #21456482C2semidirect
20. #21456382C2semidirect
21. #21456055C2semidirect
22. #21456026C2semidirect
23. #21456017C2semidirect
24. #21455998C2semidirect
25. #21455929C2semidirect
26. #21455923C2semidirect
27. #21454787C2semidirect
28. #21454657C2semidirect
29. #21454654C2semidirect
30. #21454587C2semidirect
31. C61×#3304C2semidirect
36. #16840498C22semidirect
37. #16840488C22semidirect
40. #16840476C22semidirect
53. #16840419C22semidirect
62. #16840366C22semidirect
68. #16840293C22semidirect
74. #16840238C22semidirect
76. #41×Dic61C22semidirect
78. #16840169C22semidirect
79. #16840168C22semidirect
80. #16840162C22semidirect
81. #16840153C22semidirect
86. #16840115C22semidirect
87. #16840115C22semidirect
88. #16840111C22semidirect
89. #16840106C22semidirect
91. #16840103C22semidirect
92. #16840100C22semidirect
97. #16840079C22semidirect
98. #16840074C22semidirect
99. #16840071C22semidirect
100. #16840069C22semidirect
101. #16840068C22semidirect
102. #16840067C22semidirect
103. #16840064C22semidirect
104. #16840064C22semidirect
107. #16840054C22semidirect
112. #16840007C22semidirect
115. #16840001C22semidirect
119. #16839990C22semidirect
123. #16839983C22semidirect
128. #16839970C22semidirect
129. #16839965C22semidirect
133. #16839919C22semidirect
141. #16839891C22semidirect
142. C8×Dic122C22semidirect
146. #16839869C22semidirect
147. #16839868C22semidirect
148. #16839867C22semidirect
151. #16839863C22semidirect
154. #16839859C22semidirect
155. #16839854C22semidirect
156. #16839854C22semidirect
157. #16839854C22semidirect
158. #16839853C22semidirect
159. #16839853C22semidirect
161. SD16×Dic61C22semidirect
172. #16839830C22semidirect
174. C8×C22⋊D61C22semidirect
175. #16839822C22semidirect
177. #16839816C22semidirect
179. #16839803C22semidirect
180. #16839798C22semidirect
183. #103×D61C22semidirect
186. #16839716C22semidirect
187. C2×C8×Dic61C22semidirect
190. C61×#486C22semidirect
192. C61×#482C22semidirect
193. C61×#475C22semidirect
195. C61×#465C22semidirect
196. C61×#460C22semidirect
198. C61×#452C22semidirect
199. C4×Q16×C61C22semidirect
202. C61×#416C22semidirect
847. #3304D61semidirect
938. #486C2×D61semidirect
948. #482C2×D61semidirect
961. #475C2×D61semidirect
974. #465C2×D61semidirect
985. #460C2×D61semidirect
990. #452C2×D61semidirect
1016. C4×Q16C2×D61semidirect
1044. #416C2×D61semidirect
1050. C61#61500semidirect

Maximal subgroups

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

subgroupindex
#214599172
#214598922
#214588782
#214587712
#214585052
#214584842
#214583722
#214583432
#214583172
#214577422
#214577222
#214577072
#214576752
#214576562
#214574432
#214573672
#214573602
#214565092
#214564822
#214563822
#214560552
#214560262
#214560172
#214559982
#214559292
#214559232
#214547872
#214546572
#214546542
#214545872
C61×#33042
#6150061