Finite Group Databasebeta

← #30550000

Subgroups — #30550000

Order 15616.

1914 conjugacy classes of subgroups.

The subgroup lattice has 1724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459245C211yesmaximal, characteristic, complemented
2#21459239C211yesmaximal, characteristic, complemented
3#21456508C211yesmaximal, characteristic, complemented
4#21456496C211yesmaximal, characteristic, complemented
5#21456493C211yesmaximal, characteristic, complemented
6#21456481C211yesmaximal, characteristic, complemented
7#21456447C211yesmaximal, characteristic, complemented
8#21456443C211yesmaximal, characteristic, complemented
9#21456432C211yesmaximal, characteristic, complemented
10#21456428C211yesmaximal, characteristic, complemented
11#21456420C211yesmaximal, characteristic, complemented
12#21456417C211yesmaximal, characteristic, complemented
13#21456409C211yesmaximal, characteristic, complemented
14#21456386C211yesmaximal, characteristic, complemented
15#21456382C211yesmaximal, characteristic, complemented
16#21456380C211yesmaximal, characteristic, complemented
17#21456373C211yesmaximal, characteristic, complemented
18#21456344C211yesmaximal, characteristic, complemented
19#21456290C211yesmaximal, characteristic, complemented
20#21456181C211yesmaximal, characteristic, complemented
21#21456170C211yesmaximal, characteristic, complemented
22#21455507C211yesmaximal, characteristic, complemented
23#21455496C211yesmaximal, characteristic, complemented
24#21455476C211yesmaximal, characteristic, complemented
25#21455453C211yesmaximal, characteristic, complemented
26#21454635C211yesmaximal, characteristic, complemented
27#21454630C211yesmaximal, characteristic, complemented
28C4×#14519798C211yesmaximal, characteristic, complemented
29C4×SD16×D61C211yesmaximal, characteristic, complemented
30#21454241C211yesmaximal, characteristic, complemented
31C61×#3173C211yesmaximal, characteristic, complemented
32C2×#14519809C2211yescharacteristic
33C2×#14519801C2211yescharacteristic
34C2×#14519798C2211yescharacteristic
35C2×SD16×D61C2211yescharacteristic
36C2×#14519785C2211yescharacteristic
37C2×#14519783C2211yescharacteristic
38#16840389C2211yescharacteristic
39#16840389C2211yescharacteristic
40#16840384C2211yescharacteristic
41#16840382—21no—
42#16840377C2211yescharacteristic, complemented
43#16840376—21no—
44#16840374C2211yescharacteristic, complemented
45#16840370C2211yescharacteristic, complemented
46#16840369—21no—
47#16840367C2211yescharacteristic
48#16840364—21no—
49#16840363C2211yescharacteristic
50#16840358—21no—
51#16840355—21no—
52#16840351—21no—
53#16840346—21no—
54#16840342C2211yescharacteristic
55#16840341C2211yescharacteristic
56#16840335C2211yescharacteristic
57#16840332C2211yescharacteristic
58#16840330C2211yescharacteristic
59#16840328C2211yescharacteristic
60#16840317C2211yescharacteristic, complemented
61#16840314—21no—
62#16840314C2211yescharacteristic, complemented
63#16840313C2211yescharacteristic
64#16840311—21no—
65#16840307C2211yescharacteristic
66#16840298C2211yescharacteristic
67#16840295—21no—
68#16840295—21no—
69#16840293C2211yescharacteristic, complemented
70#16840291—21no—
71#16840291C2211yescharacteristic
72#16840291C2211yescharacteristic, complemented
73#16840289—21no—
74#16840275—21no—
75#16840270—21no—
76C4×#11758226C2211yescharacteristic
77#16840230C2211yescharacteristic
78C4×#11758224C2211yescharacteristic
79C4×Q8×D61C2211yescharacteristic
80C4×D4×D61C2211yescharacteristic
81#16840169C2211yescharacteristic, complemented
82#16840169C2211yescharacteristic, complemented
83#16840168C2211yescharacteristic, complemented
84#16840168C2211yescharacteristic, complemented
85#16840164C2211yescharacteristic, complemented
86#16840162C2211yescharacteristic, complemented
87#16840159C2211yescharacteristic, complemented
88#16840157C2211yescharacteristic
89#16840155C2211yescharacteristic
90#16840152C2211yescharacteristic
91#16840150C2211yescharacteristic
92#16840143C2211yescharacteristic
93#16840135C2211yescharacteristic
94#16840133C2211yescharacteristic
95#16840131C2211yescharacteristic, complemented
96#16840129C2211yescharacteristic, complemented
97#16840127C2211yescharacteristic
98#16840125C2211yescharacteristic
99#16840123C2211yescharacteristic
100#16840120C2211yescharacteristic, complemented
101#16840118C2211yescharacteristic
102#16840116C2211yescharacteristic
103#16840116C2211yescharacteristic, complemented
104#16840115C2211yescharacteristic, complemented
105#16840114C2211yescharacteristic, complemented
106#16840111C2211yescharacteristic, complemented
107#16840110C2211yescharacteristic
108#16840107C2211yescharacteristic
109#16840019C2211yescharacteristic, complemented
110#16840019C2211yescharacteristic, complemented
111#16840018C2211yescharacteristic, complemented
112#16840014C2211yescharacteristic
113#16840014C2211yescharacteristic, complemented
114#16840013C2211yescharacteristic, complemented
115#16840011C2211yescharacteristic
116#16840011C2211yescharacteristic, complemented
117#16840010C2211yescharacteristic
118#16840008C2211yescharacteristic
119#16840008C2211yescharacteristic, complemented
120#16840007C2211yescharacteristic
121#16840007C2211yescharacteristic
122#16840006C2211yescharacteristic
123#16840001C2211yescharacteristic, complemented
124#16840000C2211yescharacteristic, complemented
125#16839996C2211yescharacteristic
126#16839995C2211yescharacteristic
127#16839993C2211yescharacteristic, complemented
128#16839992C2211yescharacteristic
129#16839992C2211yescharacteristic
130#16839992C2211yescharacteristic, complemented
131#16839992C2211yescharacteristic, complemented
132#16839991C2211yescharacteristic
133#16839991C2211yescharacteristic, complemented
134#16839989C2211yescharacteristic
135#16839988C2211yescharacteristic
136#16839988C2211yescharacteristic, complemented
137#16839872C2211yescharacteristic
138#16839867C2211yescharacteristic, complemented
139#16839864C2211yescharacteristic
140#16839864C2211yescharacteristic, complemented
141#16839862C2211yescharacteristic
142#16839860C2211yescharacteristic, complemented
143Q16×Dic61C2211yescharacteristic, complemented
144C4×#11758202C2211yescharacteristic, complemented
145#16839854C2211yescharacteristic, complemented
146#16839854C2211yescharacteristic, complemented
147#16839853C2211yescharacteristic
148#16839853C2211yescharacteristic
149C4×#11758190C2211yescharacteristic
150C4×#11758190C2211yescharacteristic, complemented
151SD16×Dic61C2211yescharacteristic
152SD16×Dic61C2211yescharacteristic, complemented
153C4×#11758201C2211yescharacteristic
154#16839849C2211yescharacteristic
155#16839849C2211yescharacteristic
156#16839849C2211yescharacteristic, complemented
157#16839849C2211yescharacteristic, complemented
158C4×#11758200C2211yescharacteristic
159#16839847C2211yescharacteristic
160#16839847C2211yescharacteristic, complemented
161D8×Dic61C2211yescharacteristic
162C4×#11758199C2211yescharacteristic, complemented
163#16839842C2211yescharacteristic
164#16839842C2211yescharacteristic, complemented
165#16839801C2211yescharacteristic
166#16839801C2211yescharacteristic
167#16839797C2211yescharacteristic
168#106×D61C2211yescharacteristic
169#16839769C2211yescharacteristic
170#16839765C2211yescharacteristic
171#16839762C2211yescharacteristic
172#16839760C2211yescharacteristic
173#16839757C2211yescharacteristic
174#16839755C2211yescharacteristic
175#103×D61C2211yescharacteristic
176#102×D61C2211yescharacteristic
177#16839719C2211yescharacteristic
178#16839719C2211yescharacteristic, complemented
179#16839718C2211yescharacteristic, complemented
180#16839716C2211yescharacteristic
181#16839716C2211yescharacteristic, complemented
182#16839714C2211yescharacteristic
183#16839714C2211yescharacteristic, complemented
184M16×Dic61C2211yescharacteristic, complemented
185C2×C8×Dic61C2211yescharacteristic, complemented
186C4×C8×D61C2211yescharacteristic
187C4×C8×D61C2211yescharacteristic, complemented
188C61×#542C2211yescharacteristic
189C61×#542C2211yescharacteristic, complemented
190C61×#498C2211yescharacteristic, complemented
191C61×#495C2211yescharacteristic
192C61×#489C2211yescharacteristic
193C61×#489C2211yescharacteristic, complemented
194C61×#470C2211yescharacteristic, complemented
195C61×#469C2211yescharacteristic
196C61×#465C2211yescharacteristic
197C61×#465C2211yescharacteristic, complemented
198C61×#442C2211yescharacteristic
199C61×#441C2211yescharacteristic, complemented
200C4×SD16×C61C2211yescharacteristic
201C4×SD16×C61C2211yescharacteristic, complemented
202C61×#405C2211yescharacteristic, complemented
203C2×#11758226—21no—
204C2×#11758226C2311yescharacteristic
205C2×#11758222C2311yescharacteristic
206C2×#11758224—21no—
207C2×#11758224C2311yescharacteristic
208C2×Q8×D61C2311yescharacteristic
209C2×D4×D61C2311yescharacteristic
210C22×C4×D61—21no—
211#14519809—24no—
212#14519801—24no—
213#14519798—24no—
214C2×#11758202C2311yescharacteristic
215C2×#11758202C2311yescharacteristic
216C2×#11758190C2311yescharacteristic
217C2×#11758190C2311yescharacteristic
218C2×#11758190C2311yescharacteristic
219C2×#11758190C2311yescharacteristic
220C2×#11758200C2311yescharacteristic
221C2×#11758200C2311yescharacteristic
222C2×#11758201C2311yescharacteristic
223C2×#11758201C2311yescharacteristic
224SD16×D61—24no—
225C2×#11758199C2311yescharacteristic
226C2×#11758199C2311yescharacteristic
227#14519785—24no—
228#14519783—24no—
229C2×#11758194C2311yescharacteristic
230C2×#11758189C2311yescharacteristic
231C2×#11758189C2311yescharacteristic
232C2×#11758189C2311yescharacteristic
233C2×#11758189C2311yescharacteristic
234C22×#92418C2311yescharacteristic
235C2×C8×D61C2311yescharacteristic
236C2×C8×D61C2311yescharacteristic
237C2×C8×D61C2311yescharacteristic
238C2×C8×D61C2311yescharacteristic
239#14519777C2311yescharacteristic
240#14519776—21no—
241#14519776C2311yescharacteristic
242#14519776C2311yescharacteristic
243#14519775—21no—
244#14519775—21no—
245#14519775C2311yescharacteristic
246#14519774C2311yescharacteristic
247#14519773—21no—
248#14519773C2311yescharacteristic
249#14519772—21no—
250#14519772—21no—
251#14519771—21no—
252#14519771—21no—
253#14519770—21no—
254#14519770—21no—
255#14519770—21no—
256#14519770—21no—
257#14519770—21no—
258#14519770—21no—
259#14519769—21no—
260#14519769C2311yescharacteristic
261#14519769C2311yescharacteristic
262#14519768—21no—
263#14519768C2311yescharacteristic
264#14519768C2311yescharacteristic
265#14519767—21no—
266#14519767—21no—
267#14519767—21no—
268#14519767—21no—
269#14519767—21no—
270#14519767—21no—
271#14519766—21no—
272#14519766C2311yescharacteristic
273#14519765—21no—
274#14519764C2311yescharacteristic
275#14519763—21no—
276#14519763—21no—
277#14519763—21no—
278#14519763—21no—
279#14519762—21no—
280#14519762—21no—
281#14519762—21no—
282#14519762—21no—
283#14519761—21no—
284#14519760—21no—
285#14519760—21no—
286#14519759—21no—
287#14519759—21no—
288#14519759—21no—
289#14519759—21no—
290#14519759—21no—
291#14519759—21no—
292#14519758—21no—
293#14519757C2311yescharacteristic
294#14519757C2311yescharacteristic
295#14519756—21no—
296#14519756C2311yescharacteristic
297#14519756C2311yescharacteristic
298#14519755—21no—
299#14519755—21no—
300#14519755—21no—
301#14519755—21no—
302#14519754—21no—
303#14519754—21no—
304#14519754—21no—
305#14519754—21no—
306#14519753—21no—
307#14519753—21no—
308#14519753—21no—
309#14519753C2311yescharacteristic
310#14519753C2311yescharacteristic
311#14519752—21no—
312#14519752—21no—
313#14519752C2311yescharacteristic
314#14519752C2311yescharacteristic
315#14519751—21no—
316#14519751C2311yescharacteristic
317#14519751C2311yescharacteristic
318#14519750—21no—
319#14519750—21no—
320#14519750—21no—
321#14519750—21no—
322#14519750—21no—
323#14519750—21no—
324#14519750—21no—
325#14519750—21no—
326#14519749—21no—
327#14519749—21no—
328#14519748—21no—
329#14519748C2311yescharacteristic
330#14519748C2311yescharacteristic
331#14519747—21no—
332#14519747—21no—
333#14519747—21no—
334#14519745—21no—
335Q8×Dic61—21no—
336Q8×Dic61C2311yescharacteristic
337Q8×Dic61C2311yescharacteristic
338C4×Dic122—21no—
339C4×Dic122C2311yescharacteristic
340C4×Dic122C2311yescharacteristic
341#14519742—21no—
342#14519742—21no—
343#14519742D411yescharacteristic
344#14519742D411yescharacteristic
345#14519742C2311yescharacteristic
346#14519742C2311yescharacteristic
347C4×D244—21no—
348C4×D244C2311yescharacteristic
349C4×D244C2311yescharacteristic
350D4×Dic61—21no—
351D4×Dic61C2311yescharacteristic
352D4×Dic61C2311yescharacteristic
353#14519739—21no—
354#14519739—21no—
355#14519739D411yescharacteristic
356#14519739D411yescharacteristic
357#14519739C2311yescharacteristic
358#14519739C2311yescharacteristic
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#14519737D411yescharacteristic
368#14519737D411yescharacteristic
369#14519737D411yescharacteristic
370#14519737D411yescharacteristic
371#14519735—21no—
372#14519735—21no—
373#14519735—21no—
374#14519735C2311yescharacteristic
375#14519735C2311yescharacteristic
376#14519734C2311yescharacteristic
377#14519734C2311yescharacteristic
378#14519733—21no—
379#14519733—21no—
380#14519733—21no—
381#14519733—21no—
382#14519733—21no—
383C4⋊C4×D61—21no—
384C4⋊C4×D61C2311yescharacteristic
385C4⋊C4×D61C2311yescharacteristic
386C22⋊C4×D61—21no—
387C2×C4×Dic61—21no—
388C2×C4×Dic61C2311yescharacteristic
389C42×D61—21no—
390C42×D61—21no—
391C42×D61C2311yescharacteristic
392C42×D61C2311yescharacteristic
393#14519711C2311yescharacteristic
394#14519711C2311yescharacteristic
395#14519710C2311yescharacteristic
396#14519710C2311yescharacteristic
397#14519710C2311yescharacteristic
398#14519710C2311yescharacteristic
399#14519709C2311yescharacteristic
400#14519709C2311yescharacteristic
401#14519708C2311yescharacteristic
402#14519708C2311yescharacteristic
403#14519708C2311yescharacteristic
404#14519708C2311yescharacteristic
405#14519702C2311yescharacteristic
406#14519702C2311yescharacteristic
407#14519702C2311yescharacteristic
408#14519702C2311yescharacteristic
409#14519701C2311yescharacteristic
410#14519701C2311yescharacteristic
411#14519701C2311yescharacteristic
412#14519701C2311yescharacteristic
413#14519700C2311yescharacteristic
414#14519700C2311yescharacteristic
415#14519700C2311yescharacteristic
416#14519700C2311yescharacteristic
417#14519699C2311yescharacteristic
418#14519699C2311yescharacteristic
419#14519699C2311yescharacteristic
420#14519699C2311yescharacteristic
421#14519698C2311yescharacteristic
422#14519698C2311yescharacteristic
423#14519698C2311yescharacteristic
424#14519698C2311yescharacteristic
425#14519697C2311yescharacteristic
426#14519697C2311yescharacteristic
427#14519697C2311yescharacteristic
428#14519697C2311yescharacteristic
429#14519688C2311yescharacteristic
430#14519688C2311yescharacteristic
431#14519687C2311yescharacteristic
432#14519687C2311yescharacteristic
433C4×#92418C2311yescharacteristic
434C4×#92418C2311yescharacteristic
435C8×Dic61C2311yescharacteristic
436C8×Dic61C2311yescharacteristic
437C8×Dic61C2311yescharacteristic
438C8×Dic61C2311yescharacteristic
439C8×Dic61C2311yescharacteristic
440C8×Dic61C2311yescharacteristic
441C2×Q16×C61C2311yescharacteristic
442C2×SD16×C61C2311yescharacteristic
443C2×SD16×C61C2311yescharacteristic
444C2×D8×C61C2311yescharacteristic
445C2×M16×C61C2311yescharacteristic
446C22×C8×C61C2311yescharacteristic
447C4⋊Q8×C61C2311yescharacteristic
448C4⋊Q8×C61C2311yescharacteristic
449#126×C61—21no—
450#126×C61—21no—
451#124×C61—21no—
452#124×C61—21no—
453#124×C61C2311yescharacteristic
454#124×C61C2311yescharacteristic
455#123×C61—21no—
456#123×C61—21no—
457C22⋊Q8×C61—21no—
458C22⋊Q8×C61—21no—
459C22⋊Q8×C61C2311yescharacteristic
460C22⋊Q8×C61C2311yescharacteristic
461#121×C61C2311yescharacteristic
462#121×C61C2311yescharacteristic
463C4×Q8×C61C2311yescharacteristic
464C4×Q8×C61C2311yescharacteristic
465C4×D4×C61C2311yescharacteristic
466C4×D4×C61C2311yescharacteristic
467#117×C61C2311yescharacteristic
468#106×C61C2311yescharacteristic
469#106×C61C2311yescharacteristic
470#106×C61C2311yescharacteristic
471#106×C61C2311yescharacteristic
472#103×C61C2311yescharacteristic
473#103×C61C2311yescharacteristic
474#103×C61C2311yescharacteristic
475#103×C61C2311yescharacteristic
476#102×C61C2311yescharacteristic
477#102×C61C2311yescharacteristic
478#102×C61C2311yescharacteristic
479#102×C61C2311yescharacteristic
480#97×C61C2311yescharacteristic
481#97×C61C2311yescharacteristic
482C4×C8×C61C2311yescharacteristic
483C4×C8×C61C2311yescharacteristic
484C23×D61—21no—
485C2×Q8×C61—21no—
486C2×Q8×C61—21no—
487C2×Q8×C61C2411yescharacteristic
488C2×Q8×C61C2411yescharacteristic
489C2×D4×C61—21no—
490C2×D4×C61—21no—
491C2×D4×C61C2411yescharacteristic
492C2×D4×C61C2411yescharacteristic
493C22×C4×C61—21no—
494C22×C4×C61—21no—
495C22×C4×C61C2411yescharacteristic
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⋊D61—21no—
504C2×C22⋊D61C2×D411yescharacteristic
505C2×C22⋊D61C2×D411yescharacteristic
506C22×Dic61—21no—
507C22×Dic61—21no—
508C22×Dic61—21no—
509C22×Dic61C2×D411yescharacteristic
510C22×Dic61C2×D411yescharacteristic
511#11758226—22no—
512#11758226—22no—
513#11758226—82no—
514Q8×D61—22no—
515Q8×D61—22no—
516#11758224—22no—
517#11758224—22no—
518#11758224—82no—
519D4×D61—22no—
520D4×D61—22no—
521#11758222—22no—
522#11758222—22no—
523C2×D244—21no—
524C2×D244—21no—
525C2×D244—21no—
526C2×D244—21no—
527C2×D244—21no—
528C2×D244C2×D411yescharacteristic
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—82no—
540C2×C4×D61C2×D411yescharacteristic
541C2×C4×D61C2×D411yescharacteristic
542C2×C4×D61C2×D411yescharacteristic
543C2×C4×D61C2×D411yescharacteristic
544C2×C4×D61C2411yescharacteristic
545C2×C4×D61C2411yescharacteristic
546C2×Dic122—21no—
547C2×Dic122—21no—
548C2×Dic122—21no—
549C2×Dic122C2×D411yescharacteristic
550C2×Dic122C2411yescharacteristic
551C2×Dic122C2411yescharacteristic
552Q16×C61—22no—
553SD16×C61—22no—
554SD16×C61—22no—
555D8×C61—22no—
556M16×C61—22no—
557C2×C8×C61—22no—
558C2×C8×C61C2411yescharacteristic
559C2×C8×C61C2411yescharacteristic
560C2×C8×C61C2411yescharacteristic
561C2×C8×C61C2411yescharacteristic
562C4⋊C4×C61—21no—
563C4⋊C4×C61—21no—
564C4⋊C4×C61—21no—
565C4⋊C4×C61—21no—
566C4⋊C4×C61—21no—
567C4⋊C4×C61—21no—
568C4⋊C4×C61C2×D411yescharacteristic
569C4⋊C4×C61C2×D411yescharacteristic
570C4⋊C4×C61C2411yescharacteristic
571C4⋊C4×C61C2411yescharacteristic
572C4⋊C4×C61C2411yescharacteristic
573C4⋊C4×C61C2411yescharacteristic
574C22⋊C4×C61—21no—
575C22⋊C4×C61—21no—
576C22⋊C4×C61—21no—
577C22⋊C4×C61—21no—
578C22⋊C4×C61—21no—
579C22⋊C4×C61—21no—
580C22⋊C4×C61—21no—
581C22⋊C4×C61—21no—
582C22⋊C4×C61—21no—
583C22⋊C4×C61—21no—
584C22⋊C4×C61C2×D411yescharacteristic
585C22⋊C4×C61C2×D411yescharacteristic
586C42×C61—21no—
587C42×C61—21no—
588C42×C61C2411yescharacteristic
589C42×C61C2411yescharacteristic
590C22⋊Dic61—21no—
591C22⋊Dic61—21no—
592C22⋊Dic61—21no—
593C22⋊Dic61—21no—
594C22⋊Dic61—21no—
595C22⋊Dic61—21no—
596C22⋊Dic61—21no—
597C22⋊Dic61—21no—
598#11758202—22no—
599#11758202—22no—
600#11758201—22no—
601#11758201—22no—
602#11758200—22no—
603#11758200—22no—
604#11758199—22no—
605#11758199—22no—
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—
622#11758198C2×D411yescharacteristic
623#11758198C2×D411yescharacteristic
624#11758198C2×D411yescharacteristic
625#11758198C2×D411yescharacteristic
626C4⋊Dic61—21no—
627C4⋊Dic61—21no—
628C4⋊Dic61—21no—
629C4⋊Dic61—21no—
630C4⋊Dic61—21no—
631C4⋊Dic61—21no—
632C4⋊Dic61—21no—
633C4⋊Dic61—21no—
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#11758196—21no—
655#11758196—21no—
656#11758196—21no—
657#11758196—21no—
658#11758196C2×D411yescharacteristic
659#11758196C2×D411yescharacteristic
660#11758196C2×D411yescharacteristic
661#11758196C2×D411yescharacteristic
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×Dic61C2×D411yescharacteristic
673C4×Dic61C2×D411yescharacteristic
674C4×Dic61C2×D411yescharacteristic
675C4×Dic61C2×D411yescharacteristic
676C4×Dic61C2411yescharacteristic
677C4×Dic61C2411yescharacteristic
678#11758194—22no—
679C2×#92418—22no—
680C2×#92418C2411yescharacteristic
681C2×#92418C2411yescharacteristic
682C2×#92418C2411yescharacteristic
683C2×#92418C2411yescharacteristic
684#11758190—22no—
685#11758190—22no—
686#11758190—22no—
687#11758190—22no—
688#11758189—22no—
689#11758189—22no—
690#11758189—22no—
691#11758189#4114yescomplemented
692C8×D61—22no—
693C8×D61—22no—
694C8×D61—22no—
695C8×D61#4114yescomplemented
696C23×C61—21no—
697C23×C61—21no—
698C23×C61C22×D411yescharacteristic
699C22×D61—21no—
700C22×D61—21no—
701C22×D61—42no—
702C22×D61—81no—
703C22×D61—81no—
704C22×D61C22×D411yescharacteristic
705C22×D61C22×D411yescharacteristic
706Q8×C61—21no—
707Q8×C61—21no—
708Q8×C61—21no—
709Q8×C61—21no—
710Q8×C61—81no—
711Q8×C61—81no—
712D4×C61—21no—
713D4×C61—21no—
714D4×C61—21no—
715D4×C61—21no—
716D4×C61—81no—
717D4×C61—81no—
718C2×C4×C61—21no—
719C2×C4×C61—21no—
720C2×C4×C61—21no—
721C2×C4×C61—21no—
722C2×C4×C61—21no—
723C2×C4×C61—21no—
724C2×C4×C61—21no—
725C2×C4×C61—21no—
726C2×C4×C61—81no—
727C2×C4×C61—81no—
728C2×C4×C61C22×D411yescharacteristic
729C2×C4×C61C22×D411yescharacteristic
730C2×C4×C61C22×D411yescharacteristic
731C2×C4×C61C22×D411yescharacteristic
732C2×C4×C61C22×D411yescharacteristic
733C2×C4×C61C2511yescharacteristic
734C22⋊D61—22no—
735C22⋊D61—22no—
736C22⋊D61—42no—
737C22⋊D61—42no—
738C22⋊D61—81no—
739C22⋊D61—81no—
740C22⋊D61—81no—
741C22⋊D61—81no—
742C22⋊D61—81no—
743C22⋊D61—81no—
744C2×Dic61—22no—
745C2×Dic61—21no—
746C2×Dic61—21no—
747C2×Dic61—21no—
748C2×Dic61—21no—
749C2×Dic61—21no—
750C2×Dic61—21no—
751C2×Dic61—41no—
752C2×Dic61—42no—
753C2×Dic61—42no—
754C2×Dic61—42no—
755C2×Dic61C22×D411yescharacteristic
756C2×Dic61C22×D411yescharacteristic
757C2×Dic61C22×D411yescharacteristic
758C2×Dic61C22×D411yescharacteristic
759C2×Dic61C22×D411yescharacteristic
760C2×Dic61C22×D411yescharacteristic
761D244—22no—
762D244—21no—
763D244—21no—
764D244—21no—
765D244—21no—
766D244—42no—
767D244—81no—
768D244—81no—
769D244—81no—
770D244—81no—
771C4×D61—21no—
772C4×D61—21no—
773C4×D61—22no—
774C4×D61—22no—
775C4×D61—41no—
776C4×D61—41no—
777C4×D61—42no—
778C4×D61—42no—
779C4×D61—42no—
780C4×D61—42no—
781C4×D61—81no—
782C4×D61—81no—
783C4×D61—81no—
784C4×D61—81no—
785C4×D61C2×#4112yes—
786C4×D61C2×#4112yes—
787Dic122—22no—
788Dic122—21no—
789Dic122—21no—
790Dic122—21no—
791Dic122—21no—
792Dic122—42no—
793Dic122—81no—
794Dic122—81no—
795C8×C61—21no—
796C8×C61—21no—
797C8×C61C2×#4112yes—
798C8×C61C2×#4112yes—
799#92418—21no—
800#92418—21no—
801#92418C2×#4112yes—
802#92418C2×#4112yes—
803#60694—611nomaximal, Sylow
804C22×C61—21no—
805C22×C61—21no—
806C22×C61—21no—
807C22×C61—41no—
808C22×C61—41no—
809C22×C61—41no—
810C22×C61—41no—
811C22×C61—41no—
812C22×C61—41no—
813C22×C61C23×D411yescharacteristic
814C2×D61—21no—
815C2×D61—21no—
816C2×D61—21no—
817C2×D61—21no—
818C2×D61—21no—
819C2×D61—41no—
820C2×D61—41no—
821C2×D61—41no—
822C2×D61—41no—
823C2×D61—41no—
824C2×D61—41no—
825C2×D61—84no—
826C2×D61#53212yes—
827C4×C61—21no—
828C4×C61—21no—
829C4×C61—21no—
830C4×C61—21no—
831C4×C61—21no—
832C4×C61—41no—
833C4×C61—41no—
834C4×C61—41no—
835C4×C61—41no—
836C4×C61—41no—
837C4×C61—41no—
838C4×C61C22×#4111yescharacteristic
839C4×C61C22×#4111yescharacteristic
840Dic61—21no—
841Dic61—21no—
842Dic61—21no—
843Dic61—21no—
844Dic61—41no—
845Dic61—41no—
846Dic61—41no—
847Dic61—41no—
848Dic61—41no—
849Dic61—41no—
850Dic61#53212yes—
851Dic61#57712yes—
852#3461—611no—
853#3460—611no—
854#3179—611no—
855#3179—611no—
856#3178—611no—
857#3178—611no—
858#3174—611no—
859#3174—611no—
860#3173—611no—
861#3173D6111yescharacteristic, complemented
862#3172—611no—
863#3172—611no—
864#3171—611no—
865#3171—611no—
866#3168—611no—
867#3168—611no—
868#3167—611no—
869#3167—611no—
870#3163—611no—
871#3154—611no—
872#3137—611no—
873#3136—611no—
874#3063—611no—
875#3062—611no—
876#3060—611no—
877#3057—611no—
878C4×#137—611no—
879C4×AGL(1,ℤ/8)—611no—
880C4×#135—611no—
881C2×C4×SD16—611no—
882C4×#131—611no—
883C2×C61—41no—
884C2×C61—81no—
885C2×C61—81no—
886C2×C61C2×#53211yescharacteristic
887C2×C61C2×#57711yescharacteristic
888C2×C61#358411yescharacteristic
889D61—22no—
890D61—41no—
891D61—81no—
892D61—81no—
893C2×#137—611no—
894C2×AGL(1,ℤ/8)—611no—
895C2×#135—611no—
896C22×SD16—611no—
897C2×#131—611no—
898C2×#131—611no—
899#544—611no—
900#544—611no—
901#542—611no—
902#542—611no—
903#542—1221no—
904#542—1221no—
905#542C2×D6111yescharacteristic
906#542C2×D6111yescharacteristic, complemented
907#541—611no—
908#541—611no—
909#541—1221no—
910#540—611no—
911#540—611no—
912#540—1221no—
913#539—1221no—
914#539—1221no—
915#538—1221no—
916#538—1221no—
917#537—611no—
918#537—611no—
919#536—611no—
920#536—611no—
921#535—611no—
922#535—611no—
923#533—611no—
924#533—611no—
925#533—1221no—
926#532—611no—
927#532—611no—
928#532—1221no—
929#529—611no—
930#529—611no—
931#529—611no—
932#529—611no—
933#529—1221no—
934#529—1221no—
935#529—1221no—
936#529—1221no—
937#525—1221no—
938#525—1221no—
939C4×#41—611no—
940C4×#41—611no—
941C4×#41—611no—
942C2×C4×Q8—611no—
943C2×C4×D4—611no—
944#501—611no—
945#501—611no—
946#501—611no—
947#501—611no—
948#499—611no—
949#499—611no—
950#498—611no—
951#498C2×D6111yescharacteristic, complemented
952#497—611no—
953#497—611no—
954#496—611no—
955#496—611no—
956#495—611no—
957#495C2×D6111yescharacteristic
958#492—611no—
959#492—611no—
960#491—611no—
961#491—611no—
962#490—611no—
963#490—611no—
964#489—611no—
965#489—611no—
966#489C2×D6111yescharacteristic
967#489C2×D6111yescharacteristic, complemented
968#488—611no—
969#488—611no—
970#488—611no—
971#488—611no—
972#487—611no—
973#487—611no—
974#486—611no—
975#486—611no—
976#470—611no—
977#470—611no—
978#470—611no—
979#470C2×D6111yescharacteristic, complemented
980#469—611no—
981#469—611no—
982#469—611no—
983#469C2×D6111yescharacteristic
984#468—611no—
985#468—611no—
986#468—611no—
987#468—611no—
988#468—611no—
989#468—611no—
990#468—611no—
991#468—611no—
992#467—611no—
993#467—611no—
994#466—611no—
995#466—611no—
996#465—611no—
997#465—611no—
998#465—611no—
999#465—611no—
1000#465—611no—
1001#465—611no—
1002#465—611no—
1003#465—611no—
1004#465—611no—
1005#465—611no—
1006#465C2×D6111yescharacteristic
1007#465C2×D6111yescharacteristic, complemented
1008#442—611no—
1009#442C2×D6111yescharacteristic
1010#441—611no—
1011#441C2×D6111yescharacteristic, complemented
1012#440—611no—
1013#440—611no—
1014#440—611no—
1015#440—611no—
1016C4×Q16—611no—
1017C4×Q16—611no—
1018C4×Q16—611no—
1019C4×Q16—611no—
1020C4×SD16—611no—
1021C4×SD16—611no—
1022C4×SD16—611no—
1023C4×SD16—611no—
1024C4×SD16—611no—
1025C4×SD16—611no—
1026C4×SD16—611no—
1027C4×SD16—611no—
1028C4×SD16—611no—
1029C4×SD16—611no—
1030C4×SD16—611no—
1031C4×SD16—611no—
1032C4×SD16—611no—
1033C4×SD16—611no—
1034C4×SD16C2×D6111yescharacteristic
1035C4×SD16C2×D6111yescharacteristic, complemented
1036C4×D8—611no—
1037C4×D8—611no—
1038C4×D8—611no—
1039C4×D8—611no—
1040#428—611no—
1041#428—611no—
1042#427—611no—
1043C2×#106—611no—
1044#419—611no—
1045#418—611no—
1046#417—611no—
1047#417—611no—
1048#416—611no—
1049#416—611no—
1050C2×#103—611no—
1051C2×#102—611no—
1052#405—611no—
1053#405—611no—
1054#405—611no—
1055#405—611no—
1056#405—611no—
1057#405C2×D6111yescharacteristic, complemented
1058C4×M16—611no—
1059C4×M16—611no—
1060C4×M16—611no—
1061C2×C4×C8—611no—
1062C2×C4×C8—611no—
1063C2×C4×C8—611no—
1064C61#6069411yescharacteristic, complemented, Sylow
1065C2×#41—611no—
1066C2×#41—611no—
1067C2×#41—611no—
1068C2×#41—1221no—
1069C2×#41—1221no—
1070C22×Q8—611no—
1071C22×D4—611no—
1072C23×C4—1221no—
1073#137—1224no—
1074AGL(1,ℤ/8)—1224no—
1075#135—1224no—
1076C2×Q16—611no—
1077C2×Q16—611no—
1078C2×Q16C22×D6111yescharacteristic
1079C2×SD16—611no—
1080C2×SD16—611no—
1081C2×SD16—611no—
1082C2×SD16—611no—
1083C2×SD16—611no—
1084C2×SD16—611no—
1085C2×SD16—611no—
1086C2×SD16—611no—
1087C2×SD16—1224no—
1088C2×SD16C22×D6111yescharacteristic
1089C2×SD16C22×D6111yescharacteristic
1090C2×D8—611no—
1091C2×D8—611no—
1092C2×D8C22×D6111yescharacteristic
1093#131—1224no—
1094#131—1224no—
1095C2×M16—611no—
1096C2×M16—611no—
1097C2×M16—611no—
1098C2×M16—611no—
1099C2×M16—611no—
1100C2×M16C22×D6111yescharacteristic
1101C22×C8—611no—
1102C22×C8—611no—
1103C22×C8—611no—
1104C22×C8—611no—
1105C22×C8—611no—
1106C22×C8C22×D6111yescharacteristic
1107C4⋊Q8—611no—
1108C4⋊Q8—611no—
1109C4⋊Q8—611no—
1110C4⋊Q8—611no—
1111C4⋊Q8—1221no—
1112C4⋊Q8—1221no—
1113C4⋊Q8—1221no—
1114C4⋊Q8C22×D6111yescharacteristic
1115C4⋊Q8C22×D6111yescharacteristic
1116#127—611no—
1117#127—611no—
1118#127—1221no—
1119#126—21no—
1120#126—21no—
1121#126—1221no—
1122#126—1221no—
1123#126—1221no—
1124#126—1221no—
1125#126—1221no—
1126#126—1221no—
1127#126—1221no—
1128#126—1221no—
1129#126—1221no—
1130#126—1221no—
1131#125—611no—
1132#125—611no—
1133#125—611no—
1134#125—611no—
1135#125—1221no—
1136#125—1221no—
1137#125—1221no—
1138#125—1221no—
1139#125—1221no—
1140#125—1221no—
1141#125—1221no—
1142#125—1221no—
1143#124—21no—
1144#124—21no—
1145#124—611no—
1146#124—611no—
1147#124—1221no—
1148#124—1221no—
1149#124—1221no—
1150#124—1221no—
1151#124—1221no—
1152#124—1221no—
1153#124C22×D6111yescharacteristic
1154#124C22×D6111yescharacteristic
1155#123—21no—
1156#123—21no—
1157#123—1221no—
1158#123—1221no—
1159#123—1221no—
1160#123—1221no—
1161#123—1221no—
1162#123—1221no—
1163#123—1221no—
1164#123—1221no—
1165#123—1221no—
1166#123—1221no—
1167#123—1221no—
1168#123—1221no—
1169#123—1221no—
1170#123—1221no—
1171C22⋊Q8—21no—
1172C22⋊Q8—21no—
1173C22⋊Q8—611no—
1174C22⋊Q8—611no—
1175C22⋊Q8—611no—
1176C22⋊Q8—611no—
1177C22⋊Q8—611no—
1178C22⋊Q8—611no—
1179C22⋊Q8—1221no—
1180C22⋊Q8—1221no—
1181C22⋊Q8—1221no—
1182C22⋊Q8—1221no—
1183C22⋊Q8—1221no—
1184C22⋊Q8—1221no—
1185C22⋊Q8—1221no—
1186C22⋊Q8—1221no—
1187C22⋊Q8—1221no—
1188C22⋊Q8—1221no—
1189C22⋊Q8—1221no—
1190C22⋊Q8—1221no—
1191C22⋊Q8C22×D6111yescharacteristic
1192C22⋊Q8C22×D6111yescharacteristic
1193#121—611no—
1194#121—611no—
1195#121—611no—
1196#121—611no—
1197#121—611no—
1198#121—611no—
1199#121—1221no—
1200#121—1221no—
1201#121—1221no—
1202#121—1221no—
1203#121—1221no—
1204#121—1221no—
1205#121—1221no—
1206#121—1221no—
1207#121—1221no—
1208#121—1221no—
1209#121—1221no—
1210#121—1221no—
1211#121—1221no—
1212#121—1221no—
1213#121C22×D6111yescharacteristic
1214#121C22×D6111yescharacteristic
1215#120—1221no—
1216#120—1221no—
1217#120—1221no—
1218#120—1221no—
1219C4×Q8—611no—
1220C4×Q8—611no—
1221C4×Q8—611no—
1222C4×Q8—611no—
1223C4×Q8—611no—
1224C4×Q8—611no—
1225C4×Q8—611no—
1226C4×Q8—611no—
1227C4×Q8—1221no—
1228C4×Q8—1221no—
1229C4×Q8—1221no—
1230C4×Q8—1221no—
1231C4×Q8C22×D6111yescharacteristic
1232C4×Q8C22×D6111yescharacteristic
1233C4×D4—611no—
1234C4×D4—611no—
1235C4×D4—611no—
1236C4×D4—611no—
1237C4×D4—611no—
1238C4×D4—611no—
1239C4×D4—611no—
1240C4×D4—611no—
1241C4×D4—611no—
1242C4×D4—611no—
1243C4×D4—611no—
1244C4×D4—611no—
1245C4×D4—1221no—
1246C4×D4—1221no—
1247C4×D4—1221no—
1248C4×D4—1221no—
1249C4×D4—1221no—
1250C4×D4—1221no—
1251C4×D4—1221no—
1252C4×D4—1221no—
1253C4×D4—1221no—
1254C4×D4—1221no—
1255C4×D4—1221no—
1256C4×D4—1221no—
1257C4×D4C22×D6111yescharacteristic
1258C4×D4C22×D6111yescharacteristic
1259#117—611no—
1260#117—611no—
1261#117—611no—
1262#117—611no—
1263#117—1221no—
1264#117—1221no—
1265#117—1221no—
1266#117—1221no—
1267#117—1221no—
1268#117—1221no—
1269#117—1221no—
1270#117—1221no—
1271#117C22×D6111yescharacteristic
1272C2×C4⋊C4—611no—
1273C2×C4⋊C4—611no—
1274C2×C4⋊C4—1221no—
1275C2×C22⋊C4—1221no—
1276C2×C42—611no—
1277C2×C42—611no—
1278C2×C42—611no—
1279C2×C42—1221no—
1280C2×C42—1221no—
1281C2×C42—1221no—
1282#107—611no—
1283#107—611no—
1284#107—611no—
1285#107—611no—
1286#107—611no—
1287#107—611no—
1288#106—611no—
1289#106—611no—
1290#106—611no—
1291#106—611no—
1292#106—611no—
1293#106—611no—
1294#106C22×D6111yescharacteristic
1295#106C22×D6111yescharacteristic
1296#106C22×D6111yescharacteristic
1297#106C22×D6111yescharacteristic
1298#103—611no—
1299#103—611no—
1300#103—611no—
1301#103—611no—
1302#103—611no—
1303#103—611no—
1304#103—611no—
1305#103—611no—
1306#103—611no—
1307#103—611no—
1308#103—611no—
1309#103—611no—
1310#103C22×D6111yescharacteristic
1311#103C22×D6111yescharacteristic
1312#103C22×D6111yescharacteristic
1313#103C22×D6111yescharacteristic
1314#102—611no—
1315#102—611no—
1316#102—611no—
1317#102—611no—
1318#102—611no—
1319#102—611no—
1320#102—611no—
1321#102—611no—
1322#102—611no—
1323#102—611no—
1324#102—611no—
1325#102—611no—
1326#102C22×D6111yescharacteristic
1327#102C22×D6111yescharacteristic
1328#102C22×D6111yescharacteristic
1329#102C22×D6111yescharacteristic
1330#97—611no—
1331#97—611no—
1332#97—611no—
1333#97—611no—
1334#97C22×D6111yescharacteristic
1335#97C22×D6111yescharacteristic
1336C4×C8—611no—
1337C4×C8—611no—
1338C4×C8—611no—
1339C4×C8—611no—
1340C4×C8—611no—
1341C4×C8—611no—
1342C4×C8—611no—
1343C4×C8—611no—
1344C4×C8C22×D6111yescharacteristic
1345C4×C8C22×D6111yescharacteristic
1346C24—1221no—
1347#41—1222no—
1348#41—1222no—
1349#41—1222no—
1350#41—1222no—
1351#41—1222no—
1352#41—1222no—
1353#41—4882no—
1354#41—4882no—
1355C2×Q8—21no—
1356C2×Q8—21no—
1357C2×Q8—611no—
1358C2×Q8—611no—
1359C2×Q8—611no—
1360C2×Q8—1221no—
1361C2×Q8—1221no—
1362C2×Q8—1221no—
1363C2×Q8—1222no—
1364C2×Q8—1222no—
1365C2×Q8C23×D6111yescharacteristic
1366C2×Q8C23×D6111yescharacteristic
1367C2×D4—21no—
1368C2×D4—21no—
1369C2×D4—611no—
1370C2×D4—611no—
1371C2×D4—611no—
1372C2×D4—611no—
1373C2×D4—611no—
1374C2×D4—1221no—
1375C2×D4—1221no—
1376C2×D4—1221no—
1377C2×D4—1222no—
1378C2×D4—1222no—
1379C2×D4—1221no—
1380C2×D4—1221no—
1381C2×D4—1221no—
1382C2×D4—1221no—
1383C2×D4—1221no—
1384C2×D4—1221no—
1385C2×D4—1221no—
1386C2×D4—1221no—
1387C2×D4—1221no—
1388C2×D4—1221no—
1389C2×D4C23×D6111yescharacteristic
1390C2×D4C23×D6111yescharacteristic
1391C22×C4—21no—
1392C22×C4—21no—
1393C22×C4—611no—
1394C22×C4—611no—
1395C22×C4—611no—
1396C22×C4—611no—
1397C22×C4—611no—
1398C22×C4—611no—
1399C22×C4—611no—
1400C22×C4—611no—
1401C22×C4—1221no—
1402C22×C4—1221no—
1403C22×C4—1221no—
1404C22×C4—1221no—
1405C22×C4—1221no—
1406C22×C4—1221no—
1407C22×C4—1221no—
1408C22×C4—1221no—
1409C22×C4—1221no—
1410C22×C4—1221no—
1411C22×C4—1221no—
1412C22×C4—4882no—
1413C22×C4C23×D6111yescharacteristic
1414Q16—22no—
1415Q16—1222no—
1416Q16—1222no—
1417SD16—22no—
1418SD16—22no—
1419SD16—1222no—
1420SD16—1222no—
1421SD16—1222no—
1422SD16—1222no—
1423SD16—1222no—
1424SD16—1222no—
1425SD16—1222no—
1426SD16—1222no—
1427D8—22no—
1428D8—1222no—
1429D8—1222no—
1430M16—22no—
1431M16—614no—
1432M16—1222no—
1433M16—1222no—
1434M16—1222no—
1435M16—1222no—
1436C2×C8—22no—
1437C2×C8—611no—
1438C2×C8—611no—
1439C2×C8—614no—
1440C2×C8—611no—
1441C2×C8—611no—
1442C2×C8—1222no—
1443C2×C8—1222no—
1444C2×C8—1222no—
1445C2×C8—1222no—
1446C2×C8C23×D6111yescharacteristic
1447C2×C8C23×D6111yescharacteristic
1448C2×C8C23×D6111yescharacteristic
1449C2×C8C23×D6111yescharacteristic
1450C4⋊C4—21no—
1451C4⋊C4—21no—
1452C4⋊C4—21no—
1453C4⋊C4—21no—
1454C4⋊C4—21no—
1455C4⋊C4—21no—
1456C4⋊C4—611no—
1457C4⋊C4—611no—
1458C4⋊C4—611no—
1459C4⋊C4—611no—
1460C4⋊C4—611no—
1461C4⋊C4—611no—
1462C4⋊C4—611no—
1463C4⋊C4—611no—
1464C4⋊C4—1221no—
1465C4⋊C4—1221no—
1466C4⋊C4—1221no—
1467C4⋊C4—1221no—
1468C4⋊C4—1221no—
1469C4⋊C4—1221no—
1470C4⋊C4—1221no—
1471C4⋊C4—1221no—
1472C4⋊C4—1221no—
1473C4⋊C4—1221no—
1474C4⋊C4—1221no—
1475C4⋊C4—1221no—
1476C4⋊C4—1221no—
1477C4⋊C4—1221no—
1478C4⋊C4—1221no—
1479C4⋊C4—1221no—
1480C4⋊C4—1221no—
1481C4⋊C4—1221no—
1482C4⋊C4—1221no—
1483C4⋊C4—1221no—
1484C4⋊C4—1221no—
1485C4⋊C4—1221no—
1486C4⋊C4—1221no—
1487C4⋊C4—1221no—
1488C4⋊C4—1221no—
1489C4⋊C4—1221no—
1490C4⋊C4—1221no—
1491C4⋊C4—1221no—
1492C4⋊C4D4×D6111yescharacteristic
1493C4⋊C4D4×D6111yescharacteristic
1494C4⋊C4C23×D6111yescharacteristic
1495C4⋊C4C23×D6111yescharacteristic
1496C4⋊C4C23×D6111yescharacteristic
1497C4⋊C4C23×D6111yescharacteristic
1498C22⋊C4—21no—
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—611no—
1509C22⋊C4—611no—
1510C22⋊C4—611no—
1511C22⋊C4—611no—
1512C22⋊C4—1221no—
1513C22⋊C4—1221no—
1514C22⋊C4—1221no—
1515C22⋊C4—1221no—
1516C22⋊C4—1221no—
1517C22⋊C4—1221no—
1518C22⋊C4—1221no—
1519C22⋊C4—1221no—
1520C22⋊C4—1221no—
1521C22⋊C4—1221no—
1522C22⋊C4—1221no—
1523C22⋊C4—1221no—
1524C22⋊C4—1221no—
1525C22⋊C4—1221no—
1526C22⋊C4—1221no—
1527C22⋊C4—1221no—
1528C22⋊C4—1221no—
1529C22⋊C4—1221no—
1530C22⋊C4—1221no—
1531C22⋊C4—1221no—
1532C22⋊C4—1221no—
1533C22⋊C4—1221no—
1534C22⋊C4—1221no—
1535C22⋊C4—1221no—
1536C22⋊C4D4×D6111yescharacteristic
1537C22⋊C4D4×D6111yescharacteristic
1538C42—21no—
1539C42—21no—
1540C42—611no—
1541C42—611no—
1542C42—611no—
1543C42—611no—
1544C42—611no—
1545C42—611no—
1546C42—611no—
1547C42—611no—
1548C42—1221no—
1549C42—1221no—
1550C42—1221no—
1551C42—1221no—
1552C42—1221no—
1553C42—1221no—
1554C42—1221no—
1555C42—1221no—
1556C42C23×D6111yescharacteristic
1557C42C23×D6111yescharacteristic
1558C23—21no—
1559C23—21no—
1560C23—611no—
1561C23—611no—
1562C23—1221no—
1563C23—1221no—
1564C23—4881no—
1565C23—4881no—
1566C23—2442no—
1567C23C2×D4×D6111yescharacteristic
1568Q8—21no—
1569Q8—21no—
1570Q8—21no—
1571Q8—21no—
1572Q8—81no—
1573Q8—81no—
1574Q8—1222no—
1575Q8—1221no—
1576Q8—1221no—
1577Q8—1221no—
1578Q8—1221no—
1579Q8—4881no—
1580Q8—4881no—
1581Q8—2442no—
1582D4—21no—
1583D4—21no—
1584D4—21no—
1585D4—21no—
1586D4—81no—
1587D4—81no—
1588D4—1222no—
1589D4—1222no—
1590D4—1222no—
1591D4—1221no—
1592D4—1221no—
1593D4—1221no—
1594D4—1221no—
1595D4—4881no—
1596D4—4881no—
1597D4—4881no—
1598D4—4881no—
1599D4—4881no—
1600D4—4881no—
1601D4—4881no—
1602D4—4881no—
1603D4—4881no—
1604D4—4881no—
1605D4—2442no—
1606D4—2442no—
1607D4—2442no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—81no—
1617C2×C4—81no—
1618C2×C4—611no—
1619C2×C4—611no—
1620C2×C4—612no—
1621C2×C4—612no—
1622C2×C4—611no—
1623C2×C4—611no—
1624C2×C4—611no—
1625C2×C4—611no—
1626C2×C4—1222no—
1627C2×C4—1222no—
1628C2×C4—1222no—
1629C2×C4—1221no—
1630C2×C4—1221no—
1631C2×C4—1221no—
1632C2×C4—1221no—
1633C2×C4—1221no—
1634C2×C4—1221no—
1635C2×C4—1221no—
1636C2×C4—1221no—
1637C2×C4—4881no—
1638C2×C4—4881no—
1639C2×C4—4881no—
1640C2×C4—4881no—
1641C2×C4—2441no—
1642C2×C4—2441no—
1643C2×C4—2442no—
1644C2×C4—2442no—
1645C2×C4—2442no—
1646C2×C4—2442no—
1647C2×C4—2442no—
1648C2×C4—2442no—
1649C2×C4—2442no—
1650C2×C4—2441no—
1651C2×C4C2×D4×D6111yescharacteristic
1652C2×C4C2×D4×D6111yescharacteristic
1653C2×C4C2×D4×D6111yescharacteristic
1654C2×C4C2×D4×D6111yescharacteristic
1655C2×C4C2×D4×D6111yescharacteristic
1656C2×C4C24×D6111yescharacteristic
1657C8—21no—
1658C8—21no—
1659C8—612no—
1660C8—612no—
1661C8—1221no—
1662C8—1221no—
1663C8#41×D6112yes—
1664C8#41×D6112yes—
1665C22—21no—
1666C22—21no—
1667C22—21no—
1668C22—41no—
1669C22—41no—
1670C22—41no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—612no—
1675C22—1221no—
1676C22—1221no—
1677C22—1221no—
1678C22—1221no—
1679C22—1221no—
1680C22—4884no—
1681C22—2441no—
1682C22—2441no—
1683C22—2441no—
1684C22—2441no—
1685C22—2441no—
1686C22—2441no—
1687C22C22×D4×D6111yescharacteristic
1688C4—21no—
1689C4—21no—
1690C4—21no—
1691C4—21no—
1692C4—21no—
1693C4—41no—
1694C4—41no—
1695C4—41no—
1696C4—41no—
1697C4—41no—
1698C4—41no—
1699C4—612no—
1700C4—612no—
1701C4—1221no—
1702C4—1221no—
1703C4—1221no—
1704C4—1221no—
1705C4—2441no—
1706C4—2441no—
1707C4—2441no—
1708C4—2441no—
1709C4—2441no—
1710C4—2441no—
1711C4C2×#41×D6111yescharacteristic
1712C4C2×#41×D6111yescharacteristic
1713C2—41no—
1714C2—81no—
1715C2—81no—
1716C2—1222no—
1717C2—4881no—
1718C2—4881no—
1719C2—2441no—
1720C2#532×D6111yescharacteristic
1721C2#577×D6111yescharacteristic
1722C2#2146059111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3173C2
socleC22×C61C23×D4
hypercenter#3173D61
hypocenterC61#60694
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #3173

Complements

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

NH ≅ G/Ntype
1. #21459245C2semidirect
2. #21459239C2semidirect
3. #21456508C2semidirect
4. #21456496C2semidirect
5. #21456493C2semidirect
6. #21456481C2semidirect
7. #21456447C2semidirect
8. #21456443C2semidirect
9. #21456432C2semidirect
10. #21456428C2semidirect
11. #21456420C2semidirect
12. #21456417C2semidirect
13. #21456409C2semidirect
14. #21456386C2semidirect
15. #21456382C2semidirect
16. #21456380C2semidirect
17. #21456373C2semidirect
18. #21456344C2semidirect
19. #21456290C2semidirect
20. #21456181C2semidirect
21. #21456170C2semidirect
22. #21455507C2semidirect
23. #21455496C2semidirect
24. #21455476C2semidirect
25. #21455453C2semidirect
26. #21454635C2semidirect
27. #21454630C2semidirect
28. C4×#14519798C2semidirect
29. C4×SD16×D61C2semidirect
30. #21454241C2semidirect
31. C61×#3173C2semidirect
42. #16840377C22semidirect
44. #16840374C22semidirect
45. #16840370C22semidirect
60. #16840317C22semidirect
62. #16840314C22semidirect
69. #16840293C22semidirect
72. #16840291C22semidirect
81. #16840169C22semidirect
82. #16840169C22semidirect
83. #16840168C22semidirect
84. #16840168C22semidirect
85. #16840164C22semidirect
86. #16840162C22semidirect
87. #16840159C22semidirect
95. #16840131C22semidirect
96. #16840129C22semidirect
100. #16840120C22semidirect
103. #16840116C22semidirect
104. #16840115C22semidirect
105. #16840114C22semidirect
106. #16840111C22semidirect
109. #16840019C22semidirect
110. #16840019C22semidirect
111. #16840018C22semidirect
113. #16840014C22semidirect
114. #16840013C22semidirect
116. #16840011C22semidirect
119. #16840008C22semidirect
123. #16840001C22semidirect
124. #16840000C22semidirect
127. #16839993C22semidirect
130. #16839992C22semidirect
131. #16839992C22semidirect
133. #16839991C22semidirect
136. #16839988C22semidirect
138. #16839867C22semidirect
140. #16839864C22semidirect
142. #16839860C22semidirect
143. Q16×Dic61C22semidirect
144. C4×#11758202C22semidirect
145. #16839854C22semidirect
146. #16839854C22semidirect
150. C4×#11758190C22semidirect
152. SD16×Dic61C22semidirect
156. #16839849C22semidirect
157. #16839849C22semidirect
160. #16839847C22semidirect
162. C4×#11758199C22semidirect
164. #16839842C22semidirect
178. #16839719C22semidirect
179. #16839718C22semidirect
181. #16839716C22semidirect
183. #16839714C22semidirect
184. M16×Dic61C22semidirect
185. C2×C8×Dic61C22semidirect
187. C4×C8×D61C22semidirect
189. C61×#542C22semidirect
190. C61×#498C22semidirect
193. C61×#489C22semidirect
194. C61×#470C22semidirect
197. C61×#465C22semidirect
199. C61×#441C22semidirect
201. C4×SD16×C61C22semidirect
202. C61×#405C22semidirect
691. #11758189#41semidirect
695. C8×D61#41semidirect
861. #3173D61semidirect
906. #542C2×D61semidirect
951. #498C2×D61semidirect
967. #489C2×D61semidirect
979. #470C2×D61semidirect
1007. #465C2×D61semidirect
1011. #441C2×D61semidirect
1035. C4×SD16C2×D61semidirect
1057. #405C2×D61semidirect
1064. C61#60694semidirect

Maximal subgroups

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

subgroupindex
#214592452
#214592392
#214565082
#214564962
#214564932
#214564812
#214564472
#214564432
#214564322
#214564282
#214564202
#214564172
#214564092
#214563862
#214563822
#214563802
#214563732
#214563442
#214562902
#214561812
#214561702
#214555072
#214554962
#214554762
#214554532
#214546352
#214546302
C4×#145197982
C4×SD16×D612
#214542412
C61×#31732
#6069461