Finite Group Databasebeta

← #33971808

Subgroups — #33971808

Order 18688.

2088 conjugacy classes of subgroups.

The subgroup lattice has 1882 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624151C211yesmaximal, characteristic, complemented
2#22623608C211yesmaximal, characteristic, complemented
3#22622239C211yesmaximal, characteristic, complemented
4#22622231C211yesmaximal, characteristic, complemented
5#22622018C211yesmaximal, characteristic, complemented
6#22622014C211yesmaximal, characteristic, complemented
7#22621927C211yesmaximal, characteristic, complemented
8#22621926C211yesmaximal, characteristic, complemented
9#22621807C211yesmaximal, characteristic, complemented
10#22621800C211yesmaximal, characteristic, complemented
11#22621612C211yesmaximal, characteristic, complemented
12#22621609C211yesmaximal, characteristic, complemented
13#22621583C211yesmaximal, characteristic, complemented
14#22621582C211yesmaximal, characteristic, complemented
15#22621485C211yesmaximal, characteristic, complemented
16#22621479C211yesmaximal, characteristic, complemented
17#22621441C211yesmaximal, characteristic, complemented
18#22621039C211yesmaximal, characteristic, complemented
19#22621035C211yesmaximal, characteristic, complemented
20#22620832C211yesmaximal, characteristic, complemented
21#22620829C211yesmaximal, characteristic, complemented
22#22620734C211yesmaximal, characteristic, complemented
23#22620702C211yesmaximal, characteristic, complemented
24#22620192C211yesmaximal, characteristic, complemented
25#22620191C211yesmaximal, characteristic, complemented
26#22619245C211yesmaximal, characteristic, complemented
27#22619241C211yesmaximal, characteristic, complemented
28#22619190C211yesmaximal, characteristic, complemented
29C2×#17988731C211yesmaximal, characteristic, complemented
30#22618980C211yesmaximal, characteristic, complemented
31C73×#3266C211yesmaximal, characteristic, complemented
32C2×#14556639C2211yescharacteristic, complemented
33C22×#11924029C2211yescharacteristic
34C2×#14556623C2211yescharacteristic, complemented
35C2×#14556623C2211yescharacteristic, complemented
36C2×#14556620C2211yescharacteristic, complemented
37C2×#14556612C2211yescharacteristic, complemented
38C2×#14556611C2211yescharacteristic, complemented
39C22×#11924013C2211yescharacteristic
40#17989334—21no—
41#17989332—21no—
42#17989295C2211yescharacteristic
43#17989294C2211yescharacteristic
44Q8×C22⋊D73C2211yescharacteristic
45#17989249C2211yescharacteristic, complemented
46#17989248C2211yescharacteristic, complemented
47#17989245C2211yescharacteristic, complemented
48#17989244C2211yescharacteristic, complemented
49#17989242C2211yescharacteristic, complemented
50#17989240—21no—
51#17989240C2211yescharacteristic, complemented
52#17989239—21no—
53#17989239C2211yescharacteristic, complemented
54#17989237C2211yescharacteristic, complemented
55#17989233—21no—
56#17989233C2211yescharacteristic
57#17989231C2211yescharacteristic
58#17989228—21no—
59#17989228C2211yescharacteristic
60#17989227—21no—
61#17989224—21no—
62#17989213—21no—
63#17989206C2211yescharacteristic, complemented
64#17989202C2211yescharacteristic, complemented
65#17989180—21no—
66#17989172—21no—
67#17989167—21no—
68#17989167C2211yescharacteristic, complemented
69#17989166—21no—
70#17989166C2211yescharacteristic, complemented
71#17989165C2211yescharacteristic, complemented
72#17989162—21no—
73#17989162C2211yescharacteristic, complemented
74#17989096—21no—
75#17989096C2211yescharacteristic
76C22⋊Q8×D73—21no—
77C22⋊Q8×D73C2211yescharacteristic
78C22⋊Q8×D73C2211yescharacteristic
79C2×#14556562C2211yescharacteristic
80#17989069C2211yescharacteristic, complemented
81#17988978C2211yescharacteristic, complemented
82#17988969C2211yescharacteristic, complemented
83#17988968C2211yescharacteristic, complemented
84#17988948C2211yescharacteristic, complemented
85#17988947C2211yescharacteristic, complemented
86#17988937C2211yescharacteristic, complemented
87#17988936C2211yescharacteristic, complemented
88#17988924C2211yescharacteristic, complemented
89#17988924C2211yescharacteristic, complemented
90#17988923C2211yescharacteristic
91#17988921C2211yescharacteristic, complemented
92#17988921C2211yescharacteristic, complemented
93#17988921C2211yescharacteristic, complemented
94#17988920C2211yescharacteristic
95#17988920C2211yescharacteristic, complemented
96#17988902C2211yescharacteristic, complemented
97#17988901C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988882C2211yescharacteristic, complemented
101#17988880C2211yescharacteristic, complemented
102#17988868C2211yescharacteristic, complemented
103#17988866C2211yescharacteristic, complemented
104#17988836C2211yescharacteristic, complemented
105#17988833C2211yescharacteristic, complemented
106#17988832C2211yescharacteristic, complemented
107#17988832C2211yescharacteristic, complemented
108#17988830C2211yescharacteristic, complemented
109#17988830C2211yescharacteristic, complemented
110#17988830C2211yescharacteristic, complemented
111#17988828C2211yescharacteristic
112#17988826C2211yescharacteristic
113#17988826C2211yescharacteristic
114#17988826C2211yescharacteristic, complemented
115#17988825C2211yescharacteristic, complemented
116#17988822C2211yescharacteristic, complemented
117#17988821C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic, complemented
119#17988810C2211yescharacteristic, complemented
120#17988807C2211yescharacteristic, complemented
121#17988804C2211yescharacteristic, complemented
122#17988802C2211yescharacteristic, complemented
123#17988801C2211yescharacteristic, complemented
124#17988799C2211yescharacteristic, complemented
125#17988795C2211yescharacteristic, complemented
126#17988794C2211yescharacteristic, complemented
127#17988790C2211yescharacteristic, complemented
128#17988752C2211yescharacteristic, complemented
129#17988752C2211yescharacteristic, complemented
130#17988751C2211yescharacteristic, complemented
131#17988748C2211yescharacteristic, complemented
132#17988748C2211yescharacteristic, complemented
133#17988748C2211yescharacteristic, complemented
134#17988746C2211yescharacteristic, complemented
135#17988744C2211yescharacteristic, complemented
136#17988744C2211yescharacteristic, complemented
137#17988743C2211yescharacteristic
138#17988743C2211yescharacteristic, complemented
139#17988741C2211yescharacteristic, complemented
140#17988741C2211yescharacteristic, complemented
141#17988741C2211yescharacteristic, complemented
142#17988740C2211yescharacteristic
143#17988738C2211yescharacteristic
144#17988737C2211yescharacteristic
145#17988733C2211yescharacteristic, complemented
146#17988732C2211yescharacteristic, complemented
147#17988731C2211yescharacteristic
148#17988731C2211yescharacteristic
149#17988731C2211yescharacteristic
150#17988731C2211yescharacteristic
151#17988731C2211yescharacteristic
152#17988731C2211yescharacteristic
153#17988731C2211yescharacteristic
154#17988731C2211yescharacteristic
155#17988731C2211yescharacteristic, complemented
156#17988730C2211yescharacteristic, complemented
157#17988724C2211yescharacteristic, complemented
158#17988724C2211yescharacteristic, complemented
159#17988724C2211yescharacteristic, complemented
160#17988690C2211yescharacteristic, complemented
161#17988689C2211yescharacteristic, complemented
162#17988688C2211yescharacteristic, complemented
163Q16×Dic73C2211yescharacteristic, complemented
164C4×#11924018C2211yescharacteristic, complemented
165C4×#11924013C2211yescharacteristic, complemented
166#17988667C2211yescharacteristic, complemented
167#17988664C2211yescharacteristic, complemented
168#17988663C2211yescharacteristic, complemented
169#17988660C2211yescharacteristic, complemented
170#17988658C2211yescharacteristic
171#17988655C2211yescharacteristic, complemented
172D4×#10596831C2211yescharacteristic
173#17988650C2211yescharacteristic
174#17988649C2211yescharacteristic, complemented
175#17988647C2211yescharacteristic, complemented
176#17988589C2211yescharacteristic, complemented
177#17988587C2211yescharacteristic, complemented
178#17988587C2211yescharacteristic, complemented
179#17988587C2211yescharacteristic, complemented
180C2×#14556515C2211yescharacteristic
181C2×#14556515C2211yescharacteristic, complemented
182#103×D73C2211yescharacteristic, complemented
183C2×#14556513C2211yescharacteristic
184#17988555C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988549C2211yescharacteristic
187C2×#14556503C2211yescharacteristic
188C2×#137×C73C2211yescharacteristic, complemented
189C22×SD16×C73C2211yescharacteristic
190D4×Q8×C73C2211yescharacteristic
191#546×C73C2211yescharacteristic
192#497×C73C2211yescharacteristic, complemented
193#468×C73C2211yescharacteristic, complemented
194#467×C73C2211yescharacteristic
195#464×C73C2211yescharacteristic, complemented
196#461×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#451×C73C2211yescharacteristic
199#450×C73C2211yescharacteristic
200#448×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic
203#14556639—42no—
204#14556639—42no—
205C2×#11924029—21no—
206C2×#11924029—21no—
207C2×#11924029—21no—
208C2×#11924029—42no—
209C2×#11924029—42no—
210C2×#11924029C2311yescharacteristic
211C2×#11924029C2311yescharacteristic
212C2×#11924029C2311yescharacteristic
213C2×#11924029C2311yescharacteristic
214C2×#11924029C2311yescharacteristic
215C2×#11924028—21no—
216C2×#11924028—21no—
217C2×#11924028—21no—
218C2×#11924028C2311yescharacteristic
219C2×#11924028C2311yescharacteristic
220C2×#11924027—21no—
221C2×#11924027C2311yescharacteristic
222C2×Q8×D73—21no—
223C2×Q8×D73C2311yescharacteristic
224C2×Q8×D73C2311yescharacteristic
225C2×Q8×D73C2311yescharacteristic
226C22×D292—21no—
227C22×D292C2311yescharacteristic
228C22×C22⋊D73—21no—
229C22×C4×D73—21no—
230C22×C4×D73C2311yescharacteristic
231#14556623—42no—
232#14556623—42no—
233#14556620—42no—
234#14556612—42no—
235#14556611—42no—
236C2×Dic292C2311yescharacteristic
237C2×#11924018C2311yescharacteristic
238C2×#11924018C2311yescharacteristic
239C2×#11924018C2311yescharacteristic
240C2×#11924018C2311yescharacteristic
241C2×#11924017C2311yescharacteristic
242C2×#11924017C2311yescharacteristic
243C2×#11924016C2311yescharacteristic
244C2×#11924016C2311yescharacteristic
245C2×#11924015C2311yescharacteristic
246C2×#11924015C2311yescharacteristic
247C2×#11924013—42no—
248C2×#11924013C2311yescharacteristic
249C2×#11924013C2311yescharacteristic
250C2×#11924013C2311yescharacteristic
251C2×#11924013C2311yescharacteristic
252C2×#11924011C2311yescharacteristic
253C2×#11924011C2311yescharacteristic
254C2×#11924011C2311yescharacteristic
255C22×#10596831C2311yescharacteristic
256C22×#10596831C2311yescharacteristic
257C2×C8×D73C2311yescharacteristic
258#14556591C2311yescharacteristic
259#14556590C2311yescharacteristic
260#14556589—21no—
261#14556589C2311yescharacteristic
262#14556584—21no—
263#14556584—21no—
264#14556582—21no—
265#14556581—21no—
266#14556580—21no—
267#14556580C2311yescharacteristic
268#14556579—21no—
269#14556579C2311yescharacteristic
270#14556578—21no—
271#14556578C2311yescharacteristic
272#14556577—21no—
273#14556577—21no—
274#14556577—21no—
275#14556576—21no—
276#14556576—21no—
277#14556576—21no—
278#14556576—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576D411yescharacteristic
283#14556575—21no—
284#14556574—21no—
285#14556573—21no—
286#14556573—21no—
287#14556573—21no—
288#14556573—21no—
289#14556573D411yescharacteristic
290#14556572—21no—
291#14556572—21no—
292#14556571—21no—
293#14556571—21no—
294#14556571C2311yescharacteristic
295#14556571C2311yescharacteristic
296#14556570—21no—
297#14556570—21no—
298#14556570—21no—
299#14556570—21no—
300#14556570—21no—
301#14556570C2311yescharacteristic
302#14556570C2311yescharacteristic
303#14556570C2311yescharacteristic
304#14556569—21no—
305#14556569—21no—
306#14556569—21no—
307#14556569—21no—
308#14556569—21no—
309#14556569D411yescharacteristic
310#14556568—21no—
311#14556568—21no—
312#14556568—21no—
313#14556568—21no—
314#14556568—21no—
315#14556568—21no—
316#14556568—21no—
317#14556568—21no—
318#14556568—21no—
319#14556568D411yescharacteristic
320#14556567—21no—
321#14556567—21no—
322#14556567C2311yescharacteristic
323#14556567C2311yescharacteristic
324#14556567C2311yescharacteristic
325#14556567C2311yescharacteristic
326#14556566—21no—
327#14556566—21no—
328#14556566—21no—
329#14556566—21no—
330#14556566C2311yescharacteristic
331#14556565—21no—
332#14556565—21no—
333#14556565C2311yescharacteristic
334#14556564—21no—
335#14556564—21no—
336#14556564—21no—
337#14556564—21no—
338#14556564—21no—
339#14556564—21no—
340#14556564D411yescharacteristic
341#14556563—21no—
342#14556563—21no—
343#14556563—21no—
344#14556563—21no—
345#14556563D411yescharacteristic
346#14556562—21no—
347#14556562—21no—
348#14556562—21no—
349#14556562—21no—
350#14556562C2311yescharacteristic
351#14556562C2311yescharacteristic
352#14556562C2311yescharacteristic
353#14556562C2311yescharacteristic
354#14556562C2311yescharacteristic
355#14556561—21no—
356#14556561D411yescharacteristic
357#14556560—21no—
358#14556559—21no—
359#14556559D411yescharacteristic
360Q8×Dic73C2311yescharacteristic
361Q8×Dic73C2311yescharacteristic
362C4×Dic146C2311yescharacteristic
363C4×D292—21no—
364C4×D292—21no—
365C4×D292C2311yescharacteristic
366C4×D292C2311yescharacteristic
367D4×Dic73—21no—
368D4×Dic73C2311yescharacteristic
369#14556553—21no—
370#14556553C2311yescharacteristic
371C4×C22⋊D73—21no—
372C4×C22⋊D73—21no—
373C4×C22⋊D73—21no—
374C4×C22⋊D73C2311yescharacteristic
375C4×C22⋊D73C2311yescharacteristic
376#14556551—21no—
377#14556551—21no—
378#14556548—21no—
379#14556548C2311yescharacteristic
380C2×C4⋊Dic73C2311yescharacteristic
381C2×C4⋊Dic73C2311yescharacteristic
382C4⋊C4×D73—21no—
383C4⋊C4×D73—21no—
384C4⋊C4×D73—21no—
385C4⋊C4×D73—21no—
386C4⋊C4×D73—21no—
387C4⋊C4×D73C2311yescharacteristic
388C4⋊C4×D73C2311yescharacteristic
389C4⋊C4×D73C2311yescharacteristic
390C2×C22⋊Dic73—21no—
391C2×C22⋊Dic73—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C22⋊C4×D73—21no—
395C22⋊C4×D73—21no—
396#14556525C2311yescharacteristic
397#14556525C2311yescharacteristic
398#14556525C2311yescharacteristic
399#14556524C2311yescharacteristic
400#14556524C2311yescharacteristic
401#14556524C2311yescharacteristic
402#14556524C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556515C2311yescharacteristic
419#14556515C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556513C2311yescharacteristic
427#14556513C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556501C2311yescharacteristic
443C4×#10596831C2311yescharacteristic
444C8×Dic73C2311yescharacteristic
445C2×#41×C73C2311yescharacteristic
446C22×Q8×C73C2311yescharacteristic
447C22×Q8×C73C2311yescharacteristic
448C22×D4×C73C2311yescharacteristic
449#137×C73—42no—
450C2×Q16×C73C2311yescharacteristic
451C2×Q16×C73C2311yescharacteristic
452C2×Q16×C73C2311yescharacteristic
453C2×SD16×C73—42no—
454C2×SD16×C73C2311yescharacteristic
455C2×SD16×C73C2311yescharacteristic
456C2×SD16×C73C2311yescharacteristic
457C2×SD16×C73C2311yescharacteristic
458C2×SD16×C73C2311yescharacteristic
459C2×SD16×C73C2311yescharacteristic
460C2×M16×C73C2311yescharacteristic
461C22×C8×C73C2311yescharacteristic
462C4⋊Q8×C73—21no—
463C4⋊Q8×C73C2311yescharacteristic
464#124×C73C2311yescharacteristic
465#123×C73—21no—
466C22⋊Q8×C73—21no—
467C22⋊Q8×C73—21no—
468C22⋊Q8×C73C2311yescharacteristic
469C22⋊Q8×C73C2311yescharacteristic
470C22⋊Q8×C73C2311yescharacteristic
471#121×C73—21no—
472#121×C73C2311yescharacteristic
473#120×C73—21no—
474C4×Q8×C73C2311yescharacteristic
475C4×D4×C73—21no—
476C4×D4×C73C2311yescharacteristic
477C4×D4×C73C2311yescharacteristic
478C2×C22⋊C4×C73—21no—
479#107×C73C2311yescharacteristic
480C4⋊C8×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#103×C73C2311yescharacteristic
483#103×C73C2311yescharacteristic
484#103×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486#102×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489#97×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73C2×D411yescharacteristic
492#11924029—22no—
493#11924029—22no—
494#11924029—22no—
495#11924029—22no—
496#11924029—22no—
497#11924029—41no—
498#11924029—41no—
499#11924029—41no—
500#11924029—41no—
501#11924029—41no—
502#11924029—44no—
503#11924029—44no—
504#11924029—44no—
505#11924028—22no—
506#11924028—41no—
507#11924028—41no—
508#11924028—41no—
509#11924028—44no—
510#11924028—44no—
511#11924028—82no—
512#11924027—41no—
513#11924027—41no—
514#11924027—82no—
515C2×Dic146—21no—
516C2×Dic146—21no—
517C2×Dic146—21no—
518C2×Dic146—21no—
519C2×Dic146—21no—
520C2×Dic146C2×D411yescharacteristic
521C2×Dic146C2411yescharacteristic
522C2×Dic146C2411yescharacteristic
523Q8×D73—22no—
524Q8×D73—41no—
525Q8×D73—41no—
526Q8×D73—41no—
527Q8×D73—41no—
528Q8×D73—41no—
529Q8×D73—44no—
530C2×D292—21no—
531C2×D292—22no—
532C2×D292—21no—
533C2×D292—21no—
534C2×D292—21no—
535C2×D292—21no—
536C2×D292—21no—
537C2×D292—21no—
538C2×D292—41no—
539C2×D292—44no—
540C2×D292C2×D411yescharacteristic
541C2×D292C2×D411yescharacteristic
542C2×D292C2411yescharacteristic
543C2×D292C2411yescharacteristic
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—21no—
550C2×C22⋊D73—21no—
551C2×C22⋊D73—21no—
552C2×C22⋊D73—82no—
553C2×C22⋊D73C2×D411yescharacteristic
554C2×C22⋊D73C2×D411yescharacteristic
555C2×C22⋊D73C2×D411yescharacteristic
556C2×C22⋊D73C2×D411yescharacteristic
557C22×Dic73—21no—
558C22×Dic73—21no—
559C22×Dic73—21no—
560C22×Dic73—21no—
561C22×Dic73C2×D411yescharacteristic
562C2×C4×D73—21no—
563C2×C4×D73—21no—
564C2×C4×D73—21no—
565C2×C4×D73—21no—
566C2×C4×D73—21no—
567C2×C4×D73—21no—
568C2×C4×D73—21no—
569C2×C4×D73—21no—
570C2×C4×D73—21no—
571C2×C4×D73—21no—
572C2×C4×D73—21no—
573C2×C4×D73—21no—
574C2×C4×D73—21no—
575C2×C4×D73—21no—
576C2×C4×D73—41no—
577C2×C4×D73—41no—
578C2×C4×D73—44no—
579C2×C4×D73C2×D411yescharacteristic
580C2×C4×D73C2×D411yescharacteristic
581C2×C4×D73C2411yescharacteristic
582C2×C4×D73C2411yescharacteristic
583C2×C4×D73C2411yescharacteristic
584Dic292—41no—
585#11924018—22no—
586#11924018—41no—
587#11924018—41no—
588#11924018—41no—
589#11924017—22no—
590#11924017—41no—
591#11924016—41no—
592#11924016—41no—
593#11924015—22no—
594#11924015—41no—
595#11924013—22no—
596#11924013—22no—
597#11924013—41no—
598#11924013—41no—
599#11924011—41no—
600#11924011—41no—
601#11924011—41no—
602C2×#10596831—41no—
603C2×#10596831—41no—
604C2×#10596831C2411yescharacteristic
605C2×#10596831C2411yescharacteristic
606C2×#10596831C2411yescharacteristic
607C2×#10596831C2411yescharacteristic
608C8×D73—41no—
609C4⋊Dic73—21no—
610C4⋊Dic73—21no—
611C4⋊Dic73—21no—
612C4⋊Dic73—21no—
613C4⋊Dic73—21no—
614C4⋊Dic73—21no—
615C4⋊Dic73—21no—
616C4⋊Dic73C2×D411yescharacteristic
617C4⋊Dic73C2411yescharacteristic
618C4⋊Dic73C2411yescharacteristic
619C4⋊Dic73C2411yescharacteristic
620C4⋊Dic73C2411yescharacteristic
621#11924007—21no—
622#11924007—21no—
623#11924007—21no—
624#11924007—21no—
625#11924007—21no—
626#11924007—21no—
627#11924007—21no—
628#11924007—21no—
629#11924007—21no—
630#11924007—21no—
631#11924007—21no—
632#11924007—21no—
633#11924007—21no—
634#11924007—21no—
635#11924007C2×D411yescharacteristic
636#11924007C2×D411yescharacteristic
637#11924007C2×D411yescharacteristic
638#11924007C2×D411yescharacteristic
639C22⋊Dic73—21no—
640C22⋊Dic73—21no—
641C22⋊Dic73—21no—
642C22⋊Dic73—21no—
643C22⋊Dic73—21no—
644C22⋊Dic73—21no—
645C22⋊Dic73—21no—
646C22⋊Dic73—21no—
647C22⋊Dic73—21no—
648C22⋊Dic73—21no—
649C22⋊Dic73—21no—
650C22⋊Dic73C2×D411yescharacteristic
651C22⋊Dic73C2×D411yescharacteristic
652#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005—21no—
666#11924005C2×D411yescharacteristic
667#11924005C2×D411yescharacteristic
668#11924005C2×D411yescharacteristic
669#11924005C2×D411yescharacteristic
670#11924005C2×D411yescharacteristic
671#11924005C2×D411yescharacteristic
672C4×Dic73—21no—
673C4×Dic73—21no—
674C4×Dic73—21no—
675C4×Dic73C2411yescharacteristic
676C24×C73—21no—
677#41×C73—41no—
678#41×C73—41no—
679C2×Q8×C73—21no—
680C2×Q8×C73—21no—
681C2×Q8×C73—22no—
682C2×Q8×C73—22no—
683C2×Q8×C73—41no—
684C2×Q8×C73—41no—
685C2×Q8×C73C2411yescharacteristic
686C2×Q8×C73C2411yescharacteristic
687C2×Q8×C73C2411yescharacteristic
688C2×Q8×C73C2411yescharacteristic
689C2×D4×C73—21no—
690C2×D4×C73—21no—
691C2×D4×C73—21no—
692C2×D4×C73—41no—
693C2×D4×C73—41no—
694C2×D4×C73C2×D411yescharacteristic
695C2×D4×C73C2411yescharacteristic
696C2×D4×C73C2411yescharacteristic
697C22×C4×C73—21no—
698C22×C4×C73—21no—
699C22×C4×C73—21no—
700C22×C4×C73—21no—
701C22×C4×C73C2411yescharacteristic
702C22×C4×C73C2411yescharacteristic
703Q16×C73—22no—
704Q16×C73—41no—
705Q16×C73—41no—
706SD16×C73—22no—
707SD16×C73—22no—
708SD16×C73—41no—
709SD16×C73—41no—
710SD16×C73—41no—
711SD16×C73—41no—
712M16×C73—41no—
713C2×C8×C73—41no—
714C2×C8×C73C2411yescharacteristic
715C2×C8×C73C2411yescharacteristic
716C2×C8×C73C2411yescharacteristic
717C2×C8×C73C2411yescharacteristic
718C4⋊C4×C73—21no—
719C4⋊C4×C73—21no—
720C4⋊C4×C73—21no—
721C4⋊C4×C73—21no—
722C4⋊C4×C73—21no—
723C4⋊C4×C73—21no—
724C4⋊C4×C73C2×D411yescharacteristic
725C4⋊C4×C73C2411yescharacteristic
726C4⋊C4×C73C2411yescharacteristic
727C22⋊C4×C73—21no—
728C22⋊C4×C73—21no—
729C22⋊C4×C73—21no—
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C22⋊C4×C73C2×D411yescharacteristic
735C22⋊C4×C73C2×D411yescharacteristic
736C42×C73—21no—
737C42×C73C2411yescharacteristic
738C23×C73—21no—
739C23×C73—21no—
740C23×C73—42no—
741C23×C73—81no—
742C23×C73—81no—
743C23×C73C22×D411yescharacteristic
744C23×C73C22×D411yescharacteristic
745C22×D73—21no—
746C22×D73—22no—
747C22×D73—21no—
748C22×D73—41no—
749C22×D73—41no—
750C22×D73—42no—
751C22×D73—42no—
752C22×D73—81no—
753C22×D73C22×D411yescharacteristic
754C22×D73C22×D411yescharacteristic
755C22×D73C22×D411yescharacteristic
756Q8×C73—21no—
757Q8×C73—21no—
758Q8×C73—21no—
759Q8×C73—21no—
760Q8×C73—21no—
761Q8×C73—21no—
762Q8×C73—21no—
763Q8×C73—42no—
764Q8×C73—42no—
765Q8×C73H(5,𝔽2)12yes—
766D4×C73—22no—
767D4×C73—21no—
768D4×C73—21no—
769D4×C73—21no—
770D4×C73—21no—
771D4×C73—81no—
772D4×C73—81no—
773D4×C73—81no—
774C2×C4×C73—21no—
775C2×C4×C73—21no—
776C2×C4×C73—21no—
777C2×C4×C73—21no—
778C2×C4×C73—21no—
779C2×C4×C73—21no—
780C2×C4×C73—21no—
781C2×C4×C73—21no—
782C2×C4×C73—21no—
783C2×C4×C73—21no—
784C2×C4×C73—42no—
785C2×C4×C73—42no—
786C2×C4×C73—81no—
787C2×C4×C73—81no—
788C2×C4×C73C22×D411yescharacteristic
789C2×C4×C73C22×D411yescharacteristic
790C2×C4×C73C22×D411yescharacteristic
791C2×C4×C73C22×D411yescharacteristic
792C2×C4×C73C2511yescharacteristic
793C22⋊D73—22no—
794C22⋊D73—41no—
795C22⋊D73—41no—
796C22⋊D73—41no—
797C22⋊D73—42no—
798C22⋊D73—42no—
799C22⋊D73—42no—
800C22⋊D73—81no—
801C22⋊D73—81no—
802C22⋊D73—81no—
803C22⋊D73—81no—
804C22⋊D73—81no—
805C2×Dic73—21no—
806C2×Dic73—21no—
807C2×Dic73—21no—
808C2×Dic73—21no—
809C2×Dic73—21no—
810C2×Dic73—21no—
811C2×Dic73—41no—
812C2×Dic73—81no—
813C2×Dic73—81no—
814C2×Dic73—81no—
815C2×Dic73—81no—
816C2×Dic73C22×D411yescharacteristic
817C2×Dic73C22×D411yescharacteristic
818C2×Dic73C22×D411yescharacteristic
819C2×Dic73C22×D411yescharacteristic
820C2×Dic73C22×D411yescharacteristic
821D292—24no—
822D292—21no—
823D292—21no—
824D292—21no—
825D292—41no—
826D292—41no—
827D292—42no—
828D292—42no—
829D292—42no—
830D292—42no—
831D292—42no—
832D292—81no—
833D292H(5,𝔽2)12yes—
834C4×D73—24no—
835C4×D73—21no—
836C4×D73—21no—
837C4×D73—21no—
838C4×D73—21no—
839C4×D73—21no—
840C4×D73—21no—
841C4×D73—41no—
842C4×D73—41no—
843C4×D73—42no—
844C4×D73—42no—
845C4×D73—42no—
846C4×D73—42no—
847C4×D73—42no—
848C4×D73—42no—
849C4×D73—42no—
850C4×D73—42no—
851C4×D73—81no—
852C4×D73—81no—
853C4×D73—81no—
854C4×D73—81no—
855C4×D73—81no—
856Dic146—21no—
857Dic146—21no—
858Dic146—21no—
859Dic146—21no—
860Dic146—41no—
861Dic146—42no—
862Dic146—42no—
863Dic146—81no—
864Dic146—81no—
865Dic146—81no—
866C8×C73—21no—
867C8×C73—21no—
868C8×C73—21no—
869C8×C73—21no—
870#10596831—21no—
871#10596831—21no—
872#10596831—21no—
873#10596831—21no—
874C22×C73—21no—
875C22×C73—21no—
876C22×C73—21no—
877C22×C73—21no—
878C22×C73—21no—
879C22×C73—41no—
880C22×C73—41no—
881C22×C73—41no—
882C22×C73—41no—
883C22×C73—41no—
884C22×C73—41no—
885C22×C73—162no—
886C22×C73#57812yes—
887C22×C73C23×D411yescharacteristic
888C2×D73—21no—
889C2×D73—21no—
890C2×D73—21no—
891C2×D73—21no—
892C2×D73—22no—
893C2×D73—21no—
894C2×D73—21no—
895C2×D73—21no—
896C2×D73—21no—
897C2×D73—21no—
898C2×D73—41no—
899C2×D73—41no—
900C2×D73—41no—
901C2×D73—41no—
902C2×D73—41no—
903C2×D73—82no—
904C2×D73—84no—
905C4×C73—21no—
906C4×C73—22no—
907C4×C73—21no—
908C4×C73—21no—
909C4×C73—21no—
910C4×C73—41no—
911C4×C73—41no—
912C4×C73—41no—
913C4×C73—41no—
914C4×C73—41no—
915C4×C73C2×H(5,𝔽2)11yescharacteristic
916C4×C73C2×H(5,𝔽2)11yescharacteristic
917Dic73—21no—
918Dic73—21no—
919Dic73—21no—
920Dic73—21no—
921Dic73—21no—
922Dic73—41no—
923Dic73—41no—
924Dic73—41no—
925Dic73—41no—
926Dic73—41no—
927Dic73—41no—
928#61619—731nomaximal, Sylow
929C2×C73—22no—
930C2×C73—41no—
931C2×C73—81no—
932C2×C73—81no—
933C2×C73#348411yescharacteristic
934C2×C73C2×#57811yescharacteristic
935C2×C73#358511yescharacteristic
936D73—41no—
937D73—41no—
938D73—41no—
939D73—42no—
940D73—81no—
941#3536—731no—
942#3489—731no—
943#3330—731no—
944#3330—731no—
945#3314—731no—
946#3314—731no—
947#3308—731no—
948#3308—731no—
949#3299—731no—
950#3299—731no—
951#3280—731no—
952#3280—731no—
953#3277—731no—
954#3277—731no—
955#3269—731no—
956#3269—731no—
957#3266—731no—
958#3266D7311yescharacteristic, complemented
959#3225—731no—
960#3225—731no—
961#3203—731no—
962#3203—731no—
963#3193—731no—
964#3189—731no—
965#3124—731no—
966#3124—731no—
967#3013—731no—
968#3013—731no—
969#3007—731no—
970C2×#449—731no—
971#2976—731no—
972C73#6161911yescharacteristic, complemented, Sylow
973C2×2−1+4—731no—
974C22×#41—731no—
975C2×#137—731no—
976C2×#137—731no—
977C2×#137—731no—
978C2×#137C2×D7311yescharacteristic, complemented
979C2×#135—731no—
980C2×#135—731no—
981C22×SD16C2×D7311yescharacteristic
982C22×D8—731no—
983#562—1461no—
984#562—1461no—
985#554—731no—
986#554—731no—
987D4×Q8—731no—
988D4×Q8C2×D7311yescharacteristic
989#548—731no—
990#548—731no—
991#548—731no—
992#548—731no—
993#547—731no—
994#547—731no—
995#547—731no—
996#547—731no—
997#547—1461no—
998#547—1461no—
999#546—731no—
1000#546—731no—
1001#546—731no—
1002#546—1461no—
1003#546—1461no—
1004#546—1461no—
1005#546—1461no—
1006#546C2×D7311yescharacteristic
1007#543—1461no—
1008#542—731no—
1009#542—731no—
1010#539—1461no—
1011#538—1461no—
1012#537—731no—
1013#537—731no—
1014#537—731no—
1015#537—1461no—
1016#537—1461no—
1017#536—731no—
1018#536—1461no—
1019#525—731no—
1020#525—1461no—
1021C2×C22⋊Q8—731no—
1022C2×C22⋊Q8—731no—
1023C2×C22⋊Q8—1461no—
1024C2×#121—731no—
1025#520—731no—
1026#497—731no—
1027#497C2×D7311yescharacteristic, complemented
1028#495—731no—
1029#495—731no—
1030#489—731no—
1031#489—731no—
1032#487—731no—
1033#487—731no—
1034#484—731no—
1035#484—731no—
1036#484—731no—
1037#484—731no—
1038#484—731no—
1039#484—731no—
1040#484—731no—
1041#484—731no—
1042#480—731no—
1043#480—731no—
1044#480—731no—
1045#480—731no—
1046#477—731no—
1047#477—731no—
1048#474—731no—
1049#474—731no—
1050#468—731no—
1051#468—731no—
1052#468—731no—
1053#468—731no—
1054#468—731no—
1055#468—731no—
1056#468—731no—
1057#468C2×D7311yescharacteristic, complemented
1058#467—731no—
1059#467—731no—
1060#467—731no—
1061#467—731no—
1062#467—731no—
1063#467C2×D7311yescharacteristic
1064#466—731no—
1065#466—731no—
1066#464—731no—
1067#464—731no—
1068#464—731no—
1069#464C2×D7311yescharacteristic, complemented
1070#463—731no—
1071#463—731no—
1072#463—731no—
1073#463—731no—
1074#462—731no—
1075#462—731no—
1076#461—731no—
1077#461C2×D7311yescharacteristic, complemented
1078#452—731no—
1079#452—731no—
1080#452—731no—
1081#452—731no—
1082#452—731no—
1083#452—731no—
1084#452—731no—
1085#452C2×D7311yescharacteristic, complemented
1086#451—731no—
1087#451—731no—
1088#451—731no—
1089#451—731no—
1090#451—731no—
1091#451—731no—
1092#451—731no—
1093#451C2×D7311yescharacteristic
1094#450—731no—
1095#450—731no—
1096#450—731no—
1097#450C2×D7311yescharacteristic
1098#449—731no—
1099#449—731no—
1100#449—731no—
1101#449—731no—
1102#449—731no—
1103#449—731no—
1104#449—731no—
1105#449—731no—
1106#449—731no—
1107#449—731no—
1108#449—731no—
1109#449—731no—
1110#448—731no—
1111#448—731no—
1112#448—731no—
1113#448C2×D7311yescharacteristic, complemented
1114#440—731no—
1115#440—731no—
1116#440—731no—
1117#440C2×D7311yescharacteristic, complemented
1118C4×Q16—731no—
1119C4×Q16—731no—
1120C4×D8—731no—
1121C4×D8—731no—
1122#436—731no—
1123#436—731no—
1124#435—731no—
1125#435—731no—
1126#435—731no—
1127#435C2×D7311yescharacteristic
1128C8×D4—731no—
1129C8×D4—731no—
1130#433—731no—
1131#433—731no—
1132#417—731no—
1133#417—731no—
1134#417—731no—
1135#417—731no—
1136C2×#103—731no—
1137C2×#103—731no—
1138C2×#103—731no—
1139C2×#102—731no—
1140#408—731no—
1141#408—731no—
1142#407—731no—
1143C2×C22⋊C8—731no—
11442−1+4—2922no—
11452−1+4—2922no—
1146C2×#41—2922no—
1147C2×#41—2922no—
1148C2×#41—731no—
1149C2×#41—731no—
1150C2×#41—731no—
1151C2×#41—731no—
1152C2×#41—731no—
1153C2×#41—731no—
1154C2×#41—731no—
1155C2×#41—731no—
1156C2×#41—1461no—
1157C2×#41—1461no—
1158C2×#41—1461no—
1159C2×#41—1461no—
1160C2×#41—1461no—
1161C2×#41—1461no—
1162C2×#41—1461no—
1163C2×#41C22×D7311yescharacteristic
1164C22×Q8—731no—
1165C22×Q8—731no—
1166C22×Q8—731no—
1167C22×Q8—1461no—
1168C22×Q8C22×D7311yescharacteristic
1169C22×Q8C22×D7311yescharacteristic
1170C22×D4—731no—
1171C22×D4—1461no—
1172C22×D4—1461no—
1173C22×D4C22×D7311yescharacteristic
1174C23×C4—731no—
1175C23×C4—1461no—
1176#137—42no—
1177#137—2922no—
1178#137—2922no—
1179#137—2922no—
1180#135—2922no—
1181#135—2922no—
1182C2×Q16—731no—
1183C2×Q16—731no—
1184C2×Q16—731no—
1185C2×Q16—731no—
1186C2×Q16—731no—
1187C2×Q16C22×D7311yescharacteristic
1188C2×Q16C22×D7311yescharacteristic
1189C2×Q16C22×D7311yescharacteristic
1190C2×SD16—42no—
1191C2×SD16—731no—
1192C2×SD16—731no—
1193C2×SD16—731no—
1194C2×SD16—731no—
1195C2×SD16—731no—
1196C2×SD16—731no—
1197C2×SD16C22×D7311yescharacteristic
1198C2×SD16C22×D7311yescharacteristic
1199C2×SD16C22×D7311yescharacteristic
1200C2×SD16C22×D7311yescharacteristic
1201C2×SD16C22×D7311yescharacteristic
1202C2×SD16C22×D7311yescharacteristic
1203C2×D8—2922no—
1204C2×D8—731no—
1205C2×D8—731no—
1206C2×D8—731no—
1207C2×D8—731no—
1208C2×M16—731no—
1209C2×M16—731no—
1210C2×M16—731no—
1211C2×M16C22×D7311yescharacteristic
1212C22×C8—731no—
1213C22×C8—731no—
1214C22×C8—731no—
1215C22×C8C22×D7311yescharacteristic
1216C4⋊Q8—21no—
1217C4⋊Q8—731no—
1218C4⋊Q8—731no—
1219C4⋊Q8—731no—
1220C4⋊Q8—1461no—
1221C4⋊Q8C22×D7311yescharacteristic
1222#126—1461no—
1223#126—1461no—
1224#125—1461no—
1225#125—1461no—
1226#124—731no—
1227#124—731no—
1228#124—731no—
1229#124—1461no—
1230#124—1461no—
1231#124—1461no—
1232#124—1461no—
1233#124—1461no—
1234#124—1461no—
1235#124C22×D7311yescharacteristic
1236#123—21no—
1237#123—731no—
1238#123—731no—
1239#123—1461no—
1240#123—1461no—
1241#123—1461no—
1242#123—1461no—
1243#123—1461no—
1244#123—1461no—
1245#123—1461no—
1246#123—1461no—
1247#123—1461no—
1248#123—1461no—
1249#123—1461no—
1250#123—1461no—
1251#123—1461no—
1252#123—1461no—
1253#123—1461no—
1254C22⋊Q8—21no—
1255C22⋊Q8—21no—
1256C22⋊Q8—731no—
1257C22⋊Q8—731no—
1258C22⋊Q8—731no—
1259C22⋊Q8—731no—
1260C22⋊Q8—731no—
1261C22⋊Q8—731no—
1262C22⋊Q8—731no—
1263C22⋊Q8—731no—
1264C22⋊Q8—731no—
1265C22⋊Q8—731no—
1266C22⋊Q8—731no—
1267C22⋊Q8—1461no—
1268C22⋊Q8—1461no—
1269C22⋊Q8—1461no—
1270C22⋊Q8—1461no—
1271C22⋊Q8—1461no—
1272C22⋊Q8—1461no—
1273C22⋊Q8—1461no—
1274C22⋊Q8—1461no—
1275C22⋊Q8—1461no—
1276C22⋊Q8—1461no—
1277C22⋊Q8—1461no—
1278C22⋊Q8—1461no—
1279C22⋊Q8—1461no—
1280C22⋊Q8—1461no—
1281C22⋊Q8—1461no—
1282C22⋊Q8—1461no—
1283C22⋊Q8—1461no—
1284C22⋊Q8—1461no—
1285C22⋊Q8—1461no—
1286C22⋊Q8—1461no—
1287C22⋊Q8—1461no—
1288C22⋊Q8—1461no—
1289C22⋊Q8—1461no—
1290C22⋊Q8C22×D7311yescharacteristic
1291C22⋊Q8C22×D7311yescharacteristic
1292C22⋊Q8C22×D7311yescharacteristic
1293#121—21no—
1294#121—731no—
1295#121—731no—
1296#121—731no—
1297#121—731no—
1298#121—731no—
1299#121—731no—
1300#121—731no—
1301#121—731no—
1302#121—731no—
1303#121—1461no—
1304#121—1461no—
1305#121—1461no—
1306#121—1461no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121—1461no—
1311#121—1461no—
1312#121—1461no—
1313#121—1461no—
1314#121—1461no—
1315#121—1461no—
1316#121—1461no—
1317#121—1461no—
1318#121—1461no—
1319#121—1461no—
1320#121—1461no—
1321#121—1461no—
1322#121—1461no—
1323#121C22×D7311yescharacteristic
1324#120—21no—
1325#120—731no—
1326#120—731no—
1327#120—1461no—
1328#120—1461no—
1329#120—1461no—
1330C4×Q8—731no—
1331C4×Q8—731no—
1332C4×Q8—731no—
1333C4×Q8C22×D7311yescharacteristic
1334C4×D4—21no—
1335C4×D4—731no—
1336C4×D4—731no—
1337C4×D4—731no—
1338C4×D4—731no—
1339C4×D4—731no—
1340C4×D4—731no—
1341C4×D4—1461no—
1342C4×D4—1461no—
1343C4×D4—1461no—
1344C4×D4—1461no—
1345C4×D4—1461no—
1346C4×D4—1461no—
1347C4×D4—1461no—
1348C4×D4—1461no—
1349C4×D4—1461no—
1350C4×D4C22×D7311yescharacteristic
1351C4×D4C22×D7311yescharacteristic
1352#117—731no—
1353#117—1461no—
1354C2×C4⋊C4—731no—
1355C2×C4⋊C4—731no—
1356C2×C4⋊C4—731no—
1357C2×C4⋊C4—731no—
1358C2×C4⋊C4—731no—
1359C2×C4⋊C4—1461no—
1360C2×C4⋊C4—1461no—
1361C2×C4⋊C4—1461no—
1362C2×C4⋊C4—1461no—
1363C2×C4⋊C4—1461no—
1364C2×C22⋊C4—21no—
1365C2×C22⋊C4—1461no—
1366C2×C22⋊C4—1461no—
1367C2×C22⋊C4—1461no—
1368C2×C22⋊C4—1461no—
1369C2×C22⋊C4—1461no—
1370C2×C22⋊C4—1461no—
1371#107—731no—
1372#107—731no—
1373#107—731no—
1374#107—731no—
1375#107—731no—
1376#107—731no—
1377#107—731no—
1378#107C22×D7311yescharacteristic
1379C4⋊C8—731no—
1380C4⋊C8—731no—
1381C4⋊C8—731no—
1382C4⋊C8C22×D7311yescharacteristic
1383#103—731no—
1384#103—731no—
1385#103—731no—
1386#103—731no—
1387#103—731no—
1388#103—731no—
1389#103—731no—
1390#103—731no—
1391#103—731no—
1392#103—731no—
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103—731no—
1397#103—731no—
1398#103—731no—
1399#103C22×D7311yescharacteristic
1400#103C22×D7311yescharacteristic
1401#103C22×D7311yescharacteristic
1402#103C22×D7311yescharacteristic
1403#102—731no—
1404#102—731no—
1405#102—731no—
1406#102—731no—
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102—731no—
1412#102—731no—
1413#102C22×D7311yescharacteristic
1414#102C22×D7311yescharacteristic
1415C22⋊C8—731no—
1416C22⋊C8—731no—
1417C22⋊C8—731no—
1418C22⋊C8—731no—
1419C22⋊C8—731no—
1420C22⋊C8—731no—
1421C22⋊C8—731no—
1422C22⋊C8—731no—
1423C22⋊C8—731no—
1424C22⋊C8—731no—
1425C22⋊C8C22×D7311yescharacteristic
1426C22⋊C8C22×D7311yescharacteristic
1427#97—731no—
1428#97C22×D7311yescharacteristic
1429C4×C8—731no—
1430C4×C8—731no—
1431C24—21no—
1432C24—731no—
1433C24—1461no—
1434#41—41no—
1435#41—41no—
1436#41—2921no—
1437#41—2921no—
1438#41—2921no—
1439#41—2924no—
1440#41—2924no—
1441#41—2924no—
1442#41—2924no—
1443#41—2924no—
1444#41—2921no—
1445#41—2921no—
1446#41—2921no—
1447#41—2921no—
1448#41—2921no—
1449#41—2921no—
1450#41—2921no—
1451#41—5842no—
1452#41—5842no—
1453#41—1462no—
1454#41—1462no—
1455#41—1462no—
1456#41—1462no—
1457#41—1462no—
1458#41—1462no—
1459C2×Q8—21no—
1460C2×Q8—21no—
1461C2×Q8—22no—
1462C2×Q8—22no—
1463C2×Q8—41no—
1464C2×Q8—41no—
1465C2×Q8—2921no—
1466C2×Q8—2921no—
1467C2×Q8—2921no—
1468C2×Q8—2924no—
1469C2×Q8—2921no—
1470C2×Q8—2921no—
1471C2×Q8—731no—
1472C2×Q8—731no—
1473C2×Q8—731no—
1474C2×Q8—1461no—
1475C2×Q8—1461no—
1476C2×Q8—1461no—
1477C2×Q8—1461no—
1478C2×Q8—1462no—
1479C2×Q8—1461no—
1480C2×Q8C23×D7311yescharacteristic
1481C2×Q8C23×D7311yescharacteristic
1482C2×Q8C23×D7311yescharacteristic
1483C2×Q8C23×D7311yescharacteristic
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—41no—
1488C2×D4—41no—
1489C2×D4—2921no—
1490C2×D4—2924no—
1491C2×D4—5842no—
1492C2×D4—731no—
1493C2×D4—731no—
1494C2×D4—731no—
1495C2×D4—731no—
1496C2×D4—731no—
1497C2×D4—731no—
1498C2×D4—731no—
1499C2×D4—731no—
1500C2×D4—1461no—
1501C2×D4—1461no—
1502C2×D4—1461no—
1503C2×D4—1461no—
1504C2×D4—1462no—
1505C2×D4—1461no—
1506C2×D4—1461no—
1507C2×D4—1461no—
1508C2×D4—1461no—
1509C2×D4—1461no—
1510C2×D4—1461no—
1511C2×D4—1461no—
1512C2×D4—1461no—
1513C2×D4—1461no—
1514C2×D4—1461no—
1515C2×D4—1461no—
1516C2×D4D4×D7311yescharacteristic
1517C2×D4C23×D7311yescharacteristic
1518C2×D4C23×D7311yescharacteristic
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—2921no—
1524C22×C4—2921no—
1525C22×C4—2924no—
1526C22×C4—731no—
1527C22×C4—731no—
1528C22×C4—731no—
1529C22×C4—731no—
1530C22×C4—731no—
1531C22×C4—731no—
1532C22×C4—1461no—
1533C22×C4—1461no—
1534C22×C4—1461no—
1535C22×C4—1461no—
1536C22×C4—1461no—
1537C22×C4—1461no—
1538C22×C4—1461no—
1539C22×C4—1461no—
1540C22×C4—1461no—
1541C22×C4—1461no—
1542C22×C4—1461no—
1543C22×C4—1461no—
1544C22×C4—1461no—
1545C22×C4—1461no—
1546C22×C4—1461no—
1547C22×C4—1461no—
1548C22×C4—1461no—
1549C22×C4—1461no—
1550C22×C4C23×D7311yescharacteristic
1551C22×C4C23×D7311yescharacteristic
1552Q16—22no—
1553Q16—41no—
1554Q16—41no—
1555Q16—2921no—
1556Q16—2921no—
1557Q16—2921no—
1558Q16—2921no—
1559Q16—1462no—
1560SD16—22no—
1561SD16—22no—
1562SD16—41no—
1563SD16—41no—
1564SD16—41no—
1565SD16—41no—
1566SD16—2921no—
1567SD16—2921no—
1568SD16—2921no—
1569SD16—2921no—
1570SD16—1462no—
1571SD16—1462no—
1572D8—2921no—
1573D8—2921no—
1574D8—1462no—
1575D8—1462no—
1576M16—41no—
1577M16—2921no—
1578M16—2921no—
1579M16—2921no—
1580C2×C8—41no—
1581C2×C8—2921no—
1582C2×C8—2921no—
1583C2×C8—2921no—
1584C2×C8—731no—
1585C2×C8—731no—
1586C2×C8—731no—
1587C2×C8—731no—
1588C2×C8C23×D7311yescharacteristic
1589C2×C8C23×D7311yescharacteristic
1590C2×C8C23×D7311yescharacteristic
1591C2×C8C23×D7311yescharacteristic
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—21no—
1598C4⋊C4—731no—
1599C4⋊C4—731no—
1600C4⋊C4—731no—
1601C4⋊C4—731no—
1602C4⋊C4—731no—
1603C4⋊C4—731no—
1604C4⋊C4—731no—
1605C4⋊C4—731no—
1606C4⋊C4—731no—
1607C4⋊C4—1461no—
1608C4⋊C4—1461no—
1609C4⋊C4—1461no—
1610C4⋊C4—1461no—
1611C4⋊C4—1461no—
1612C4⋊C4—1461no—
1613C4⋊C4—1461no—
1614C4⋊C4—1461no—
1615C4⋊C4—1461no—
1616C4⋊C4—1461no—
1617C4⋊C4—1461no—
1618C4⋊C4—1461no—
1619C4⋊C4—1461no—
1620C4⋊C4—1461no—
1621C4⋊C4—1461no—
1622C4⋊C4—1461no—
1623C4⋊C4—1461no—
1624C4⋊C4—1461no—
1625C4⋊C4—1461no—
1626C4⋊C4—1461no—
1627C4⋊C4—1461no—
1628C4⋊C4D4×D7311yescharacteristic
1629C4⋊C4C23×D7311yescharacteristic
1630C4⋊C4C23×D7311yescharacteristic
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—731no—
1639C22⋊C4—731no—
1640C22⋊C4—731no—
1641C22⋊C4—731no—
1642C22⋊C4—731no—
1643C22⋊C4—731no—
1644C22⋊C4—731no—
1645C22⋊C4—731no—
1646C22⋊C4—1461no—
1647C22⋊C4—1461no—
1648C22⋊C4—1461no—
1649C22⋊C4—1461no—
1650C22⋊C4—1461no—
1651C22⋊C4—1461no—
1652C22⋊C4—1461no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4—1461no—
1668C22⋊C4—1461no—
1669C22⋊C4—1461no—
1670C22⋊C4—1461no—
1671C22⋊C4D4×D7311yescharacteristic
1672C22⋊C4D4×D7311yescharacteristic
1673C42—21no—
1674C42—731no—
1675C42—1461no—
1676C42—1461no—
1677C42—1461no—
1678C42C23×D7311yescharacteristic
1679C23—21no—
1680C23—21no—
1681C23—42no—
1682C23—81no—
1683C23—81no—
1684C23—2922no—
1685C23—2921no—
1686C23—2921no—
1687C23—2922no—
1688C23—5841no—
1689C23—731no—
1690C23—731no—
1691C23—731no—
1692C23—1461no—
1693C23—1461no—
1694C23—1462no—
1695C23C2×D4×D7311yescharacteristic
1696C23C2×D4×D7311yescharacteristic
1697Q8—21no—
1698Q8—21no—
1699Q8—21no—
1700Q8—21no—
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—42no—
1705Q8—42no—
1706Q8—2922no—
1707Q8—2921no—
1708Q8—2922no—
1709Q8—5841no—
1710Q8—5841no—
1711Q8—5841no—
1712Q8—1461no—
1713Q8—1461no—
1714Q8—1461no—
1715Q8—1461no—
1716Q8#1455663612yes—
1717D4—22no—
1718D4—21no—
1719D4—21no—
1720D4—21no—
1721D4—21no—
1722D4—81no—
1723D4—81no—
1724D4—81no—
1725D4—2922no—
1726D4—2922no—
1727D4—2921no—
1728D4—2921no—
1729D4—2922no—
1730D4—2922no—
1731D4—2922no—
1732D4—2922no—
1733D4—2922no—
1734D4—2922no—
1735D4—2921no—
1736D4—2921no—
1737D4—2921no—
1738D4—5841no—
1739D4—5841no—
1740D4—5841no—
1741D4—5841no—
1742D4—5841no—
1743D4—5841no—
1744D4—732no—
1745D4—1464no—
1746D4—1462no—
1747D4—1461no—
1748D4—1461no—
1749D4—1461no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—42no—
1761C2×C4—42no—
1762C2×C4—81no—
1763C2×C4—81no—
1764C2×C4—2922no—
1765C2×C4—2922no—
1766C2×C4—2922no—
1767C2×C4—2921no—
1768C2×C4—2921no—
1769C2×C4—2922no—
1770C2×C4—2922no—
1771C2×C4—2922no—
1772C2×C4—2922no—
1773C2×C4—2922no—
1774C2×C4—2921no—
1775C2×C4—5841no—
1776C2×C4—5841no—
1777C2×C4—5841no—
1778C2×C4—5841no—
1779C2×C4—5841no—
1780C2×C4—5841no—
1781C2×C4—5841no—
1782C2×C4—5841no—
1783C2×C4—5841no—
1784C2×C4—731no—
1785C2×C4—731no—
1786C2×C4—731no—
1787C2×C4—731no—
1788C2×C4—731no—
1789C2×C4—1464no—
1790C2×C4—1461no—
1791C2×C4—1461no—
1792C2×C4—1461no—
1793C2×C4—1461no—
1794C2×C4—1461no—
1795C2×C4—1461no—
1796C2×C4—1461no—
1797C2×C4—1461no—
1798C2×C4—1461no—
1799C2×C4—1461no—
1800C2×C4—1461no—
1801C2×C4—1461no—
1802C2×C4C2×D4×D7311yescharacteristic
1803C2×C4C2×D4×D7311yescharacteristic
1804C2×C4C2×D4×D7311yescharacteristic
1805C2×C4C2×D4×D7311yescharacteristic
1806C2×C4C24×D7311yescharacteristic
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—1461no—
1812C8—1461no—
1813C8—1461no—
1814C8—1461no—
1815C22—21no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—41no—
1821C22—41no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—162no—
1827C22—2921no—
1828C22—2921no—
1829C22—2921no—
1830C22—2921no—
1831C22—2921no—
1832C22—5842no—
1833C22—5844no—
1834C22—1462no—
1835C22—1461no—
1836C22—1461no—
1837C22—1461no—
1838C22—1461no—
1839C22—1461no—
1840C22—1461no—
1841C22—1461no—
1842C22—1461no—
1843C22—1461no—
1844C22#1798940312yes—
1845C22C22×D4×D7311yescharacteristic
1846C4—21no—
1847C4—21no—
1848C4—22no—
1849C4—21no—
1850C4—21no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—2921no—
1857C4—2921no—
1858C4—2921no—
1859C4—2921no—
1860C4—2921no—
1861C4—2921no—
1862C4—1461no—
1863C4—1461no—
1864C4—1461no—
1865C4—1461no—
1866C4—1461no—
1867C4H(5,𝔽2)×D7311yescharacteristic
1868C4C2×#1455663611yescharacteristic
1869C2—22no—
1870C2—41no—
1871C2—81no—
1872C2—81no—
1873C2—2922no—
1874C2—2921no—
1875C2—2921no—
1876C2—2921no—
1877C2—5841no—
1878C2#2262355911yescharacteristic
1879C2C2×#1798940311yescharacteristic
1880C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3266C2
socleC22×C73C23×D4
hypercenter#3266D73
hypocenterC73#61619
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3266

Complements

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

NH ≅ G/Ntype
1. #22624151C2semidirect
2. #22623608C2semidirect
3. #22622239C2semidirect
4. #22622231C2semidirect
5. #22622018C2semidirect
6. #22622014C2semidirect
7. #22621927C2semidirect
8. #22621926C2semidirect
9. #22621807C2semidirect
10. #22621800C2semidirect
11. #22621612C2semidirect
12. #22621609C2semidirect
13. #22621583C2semidirect
14. #22621582C2semidirect
15. #22621485C2semidirect
16. #22621479C2semidirect
17. #22621441C2semidirect
18. #22621039C2semidirect
19. #22621035C2semidirect
20. #22620832C2semidirect
21. #22620829C2semidirect
22. #22620734C2semidirect
23. #22620702C2semidirect
24. #22620192C2semidirect
25. #22620191C2semidirect
26. #22619245C2semidirect
27. #22619241C2semidirect
28. #22619190C2semidirect
29. C2×#17988731C2semidirect
30. #22618980C2semidirect
31. C73×#3266C2semidirect
32. C2×#14556639C22semidirect
34. C2×#14556623C22semidirect
35. C2×#14556623C22semidirect
36. C2×#14556620C22semidirect
37. C2×#14556612C22semidirect
38. C2×#14556611C22semidirect
45. #17989249C22semidirect
46. #17989248C22semidirect
47. #17989245C22semidirect
48. #17989244C22semidirect
49. #17989242C22semidirect
51. #17989240C22semidirect
53. #17989239C22semidirect
54. #17989237C22semidirect
63. #17989206C22semidirect
64. #17989202C22semidirect
68. #17989167C22semidirect
70. #17989166C22semidirect
71. #17989165C22semidirect
73. #17989162C22semidirect
80. #17989069C22semidirect
81. #17988978C22semidirect
82. #17988969C22semidirect
83. #17988968C22semidirect
84. #17988948C22semidirect
85. #17988947C22semidirect
86. #17988937C22semidirect
87. #17988936C22semidirect
88. #17988924C22semidirect
89. #17988924C22semidirect
91. #17988921C22semidirect
92. #17988921C22semidirect
93. #17988921C22semidirect
95. #17988920C22semidirect
96. #17988902C22semidirect
97. #17988901C22semidirect
98. #17988899C22semidirect
99. #17988899C22semidirect
100. #17988882C22semidirect
101. #17988880C22semidirect
102. #17988868C22semidirect
103. #17988866C22semidirect
104. #17988836C22semidirect
105. #17988833C22semidirect
106. #17988832C22semidirect
107. #17988832C22semidirect
108. #17988830C22semidirect
109. #17988830C22semidirect
110. #17988830C22semidirect
114. #17988826C22semidirect
115. #17988825C22semidirect
116. #17988822C22semidirect
117. #17988821C22semidirect
118. #17988811C22semidirect
119. #17988810C22semidirect
120. #17988807C22semidirect
121. #17988804C22semidirect
122. #17988802C22semidirect
123. #17988801C22semidirect
124. #17988799C22semidirect
125. #17988795C22semidirect
126. #17988794C22semidirect
127. #17988790C22semidirect
128. #17988752C22semidirect
129. #17988752C22semidirect
130. #17988751C22semidirect
131. #17988748C22semidirect
132. #17988748C22semidirect
133. #17988748C22semidirect
134. #17988746C22semidirect
135. #17988744C22semidirect
136. #17988744C22semidirect
138. #17988743C22semidirect
139. #17988741C22semidirect
140. #17988741C22semidirect
141. #17988741C22semidirect
145. #17988733C22semidirect
146. #17988732C22semidirect
155. #17988731C22semidirect
156. #17988730C22semidirect
157. #17988724C22semidirect
158. #17988724C22semidirect
159. #17988724C22semidirect
160. #17988690C22semidirect
161. #17988689C22semidirect
162. #17988688C22semidirect
163. Q16×Dic73C22semidirect
164. C4×#11924018C22semidirect
165. C4×#11924013C22semidirect
166. #17988667C22semidirect
167. #17988664C22semidirect
168. #17988663C22semidirect
169. #17988660C22semidirect
171. #17988655C22semidirect
174. #17988649C22semidirect
175. #17988647C22semidirect
176. #17988589C22semidirect
177. #17988587C22semidirect
178. #17988587C22semidirect
179. #17988587C22semidirect
181. C2×#14556515C22semidirect
182. #103×D73C22semidirect
184. #17988555C22semidirect
185. #17988552C22semidirect
188. C2×#137×C73C22semidirect
192. #497×C73C22semidirect
193. #468×C73C22semidirect
195. #464×C73C22semidirect
196. #461×C73C22semidirect
197. #452×C73C22semidirect
200. #448×C73C22semidirect
201. #440×C73C22semidirect
958. #3266D73semidirect
972. C73#61619semidirect
978. C2×#137C2×D73semidirect
1027. #497C2×D73semidirect
1057. #468C2×D73semidirect
1069. #464C2×D73semidirect
1077. #461C2×D73semidirect
1085. #452C2×D73semidirect
1113. #448C2×D73semidirect
1117. #440C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226241512
#226236082
#226222392
#226222312
#226220182
#226220142
#226219272
#226219262
#226218072
#226218002
#226216122
#226216092
#226215832
#226215822
#226214852
#226214792
#226214412
#226210392
#226210352
#226208322
#226208292
#226207342
#226207022
#226201922
#226201912
#226192452
#226192412
#226191902
C2×#179887312
#226189802
C73×#32662
#6161973