Finite Group Databasebeta

← #33972858

Subgroups — #33972858

Order 18688.

2102 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624308C211yesmaximal, characteristic, complemented
2#22623691C211yesmaximal, characteristic, complemented
3#22622094C211yesmaximal, characteristic, complemented
4#22622092C211yesmaximal, characteristic, complemented
5#22622022C211yesmaximal, characteristic, complemented
6#22622020C211yesmaximal, characteristic, complemented
7#22622014C211yesmaximal, characteristic, complemented
8#22622012C211yesmaximal, characteristic, complemented
9#22621958C211yesmaximal, characteristic, complemented
10#22621956C211yesmaximal, characteristic, complemented
11#22621486C211yesmaximal, characteristic, complemented
12#22621479C211yesmaximal, characteristic, complemented
13#22621457C211yesmaximal, characteristic, complemented
14#22621447C211yesmaximal, characteristic, complemented
15#22621440C211yesmaximal, characteristic, complemented
16#22621429C211yesmaximal, characteristic, complemented
17#22621420C211yesmaximal, characteristic, complemented
18#22620967C211yesmaximal, characteristic, complemented
19#22620937C211yesmaximal, characteristic, complemented
20#22620832C211yesmaximal, characteristic, complemented
21#22620830C211yesmaximal, characteristic, complemented
22#22620814C211yesmaximal, characteristic, complemented
23#22620806C211yesmaximal, characteristic, complemented
24#22620067C211yesmaximal, characteristic, complemented
25#22620029C211yesmaximal, characteristic, complemented
26#22619234C211yesmaximal, characteristic, complemented
27#22619231C211yesmaximal, characteristic, complemented
28#22619205C211yesmaximal, characteristic, complemented
29#22619203C211yesmaximal, characteristic, complemented
30#22618999C211yesmaximal, characteristic, complemented
31C73×#3267C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic
33C2×#14556636C2211yescharacteristic
34C2×#14556623C2211yescharacteristic, complemented
35C2×#14556620C2211yescharacteristic, complemented
36C2×#14556616C2211yescharacteristic, complemented
37C2×#14556611C2211yescharacteristic, complemented
38C2×SD16×D73C2211yescharacteristic, complemented
39C2×SD16×D73C2211yescharacteristic, complemented
40#17989334—21no—
41#17989334—21no—
42#17989302C2211yescharacteristic, complemented
43#17989301—21no—
44#17989294C2211yescharacteristic, complemented
45#17989285—21no—
46#17989279C2211yescharacteristic, complemented
47#17989279C2211yescharacteristic, complemented
48#17989252C2211yescharacteristic, complemented
49#17989244C2211yescharacteristic, complemented
50#17989244C2211yescharacteristic, complemented
51#17989239C2211yescharacteristic
52#17989236C2211yescharacteristic
53#17989235—21no—
54#17989233C2211yescharacteristic
55#17989232C2211yescharacteristic
56#17989230C2211yescharacteristic
57#17989227—21no—
58#17989226—21no—
59#17989221C2211yescharacteristic
60D4×C22⋊D73C2211yescharacteristic
61#17989219—21no—
62#17989218—21no—
63#17989205—21no—
64#17989205—21no—
65#17989190—21no—
66#17989167C2211yescharacteristic
67#17989166C2211yescharacteristic
68#17989165C2211yescharacteristic, complemented
69#17989165C2211yescharacteristic, complemented
70#17989160C2211yescharacteristic, complemented
71#17989160C2211yescharacteristic, complemented
72#17989148—21no—
73#17989147—21no—
74#17989142C2211yescharacteristic, complemented
75#17989136C2211yescharacteristic
76#17989134C2211yescharacteristic
77#17989119C2211yescharacteristic, complemented
78C2×#14556564—21no—
79#121×D73—21no—
80C4×D4×D73C2211yescharacteristic
81#17988979C2211yescharacteristic, complemented
82#17988978C2211yescharacteristic, complemented
83#17988975C2211yescharacteristic, complemented
84#17988954C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988947C2211yescharacteristic, complemented
87#17988946C2211yescharacteristic, complemented
88#17988931C2211yescharacteristic, complemented
89#17988927C2211yescharacteristic, complemented
90#17988923C2211yescharacteristic, complemented
91#17988921C2211yescharacteristic, complemented
92#17988921C2211yescharacteristic, complemented
93#17988920C2211yescharacteristic, complemented
94#17988919C2211yescharacteristic, complemented
95#17988913C2211yescharacteristic, complemented
96#17988909C2211yescharacteristic, complemented
97#17988901C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988898C2211yescharacteristic, complemented
100#17988886C2211yescharacteristic, complemented
101#17988885C2211yescharacteristic, complemented
102#17988868C2211yescharacteristic, complemented
103#17988867C2211yescharacteristic, complemented
104#17988843C2211yescharacteristic, complemented
105#17988836C2211yescharacteristic, complemented
106#17988833C2211yescharacteristic, complemented
107#17988832C2211yescharacteristic, complemented
108#17988831C2211yescharacteristic, complemented
109#17988830C2211yescharacteristic, complemented
110#17988830C2211yescharacteristic, complemented
111#17988828C2211yescharacteristic, complemented
112#17988827C2211yescharacteristic, complemented
113#17988826C2211yescharacteristic, complemented
114#17988825C2211yescharacteristic, complemented
115#17988822C2211yescharacteristic, complemented
116#17988820C2211yescharacteristic, complemented
117#17988818C2211yescharacteristic, complemented
118#17988810C2211yescharacteristic, complemented
119#17988806C2211yescharacteristic, complemented
120#17988802C2211yescharacteristic, complemented
121#17988801C2211yescharacteristic, complemented
122#17988800C2211yescharacteristic, complemented
123#17988795C2211yescharacteristic, complemented
124#17988795C2211yescharacteristic, complemented
125#17988789C2211yescharacteristic, complemented
126#17988785C2211yescharacteristic, complemented
127#17988785C2211yescharacteristic, complemented
128#17988752C2211yescharacteristic, complemented
129#17988751C2211yescharacteristic, complemented
130#17988750C2211yescharacteristic, complemented
131#17988749C2211yescharacteristic, complemented
132#17988749C2211yescharacteristic, complemented
133#17988748C2211yescharacteristic, complemented
134#17988748C2211yescharacteristic, complemented
135#17988748C2211yescharacteristic, complemented
136#17988747C2211yescharacteristic, complemented
137#17988746C2211yescharacteristic, complemented
138#17988746C2211yescharacteristic, complemented
139#17988746C2211yescharacteristic, complemented
140#17988744C2211yescharacteristic, complemented
141#17988741C2211yescharacteristic, complemented
142#17988740C2211yescharacteristic, complemented
143#17988739C2211yescharacteristic
144#17988738C2211yescharacteristic, complemented
145#17988737C2211yescharacteristic, complemented
146#17988736C2211yescharacteristic
147#17988736C2211yescharacteristic
148#17988736C2211yescharacteristic, complemented
149#17988736C2211yescharacteristic, complemented
150#17988732C2211yescharacteristic, complemented
151#17988731C2211yescharacteristic, complemented
152#17988731C2211yescharacteristic, complemented
153#17988729C2211yescharacteristic, complemented
154#17988729C2211yescharacteristic, complemented
155#17988727C2211yescharacteristic, complemented
156#17988724C2211yescharacteristic, complemented
157#17988719C2211yescharacteristic
158#17988719C2211yescharacteristic, complemented
159#17988719C2211yescharacteristic, complemented
160#17988697C2211yescharacteristic, complemented
161#17988690C2211yescharacteristic, complemented
162#17988690C2211yescharacteristic, complemented
163#17988689C2211yescharacteristic, complemented
164#17988688C2211yescharacteristic, complemented
165#17988688C2211yescharacteristic, complemented
166#17988687C2211yescharacteristic, complemented
167#17988661C2211yescharacteristic, complemented
168#17988660C2211yescharacteristic, complemented
169#17988659C2211yescharacteristic, complemented
170#17988658C2211yescharacteristic, complemented
171#17988657C2211yescharacteristic, complemented
172#17988656C2211yescharacteristic, complemented
173#17988655C2211yescharacteristic, complemented
174#17988643C2211yescharacteristic, complemented
175#17988642C2211yescharacteristic, complemented
176#17988590C2211yescharacteristic, complemented
177#17988590C2211yescharacteristic, complemented
178#17988589C2211yescharacteristic, complemented
179#17988588C2211yescharacteristic, complemented
180#17988582C2211yescharacteristic, complemented
181#17988580C2211yescharacteristic, complemented
182C2×#14556513C2211yescharacteristic, complemented
183C2×#14556512C2211yescharacteristic, complemented
184#17988555C2211yescharacteristic, complemented
185#17988553C2211yescharacteristic, complemented
186#17988552C2211yescharacteristic, complemented
187#17988552C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
189C2×#135×C73C2211yescharacteristic, complemented
190#547×C73C2211yescharacteristic, complemented
191#546×C73C2211yescharacteristic
192#497×C73C2211yescharacteristic, complemented
193#470×C73C2211yescharacteristic, complemented
194#465×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#461×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#450×C73C2211yescharacteristic, complemented
200#449×C73C2211yescharacteristic, complemented
201#442×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic, complemented
203#14556637—42no—
204#14556637—42no—
205#14556636—42no—
206#14556636—42no—
207C2×#11924029C2311yescharacteristic
208C2×#11924029C2311yescharacteristic
209C2×#11924028—21no—
210C2×#11924028C2311yescharacteristic
211C2×#11924028C2311yescharacteristic
212C2×#11924028C2311yescharacteristic
213C2×#11924027—21no—
214C2×#11924027C2311yescharacteristic
215C2×#11924027C2311yescharacteristic
216C2×Q8×D73C2311yescharacteristic
217C2×Q8×D73C2311yescharacteristic
218C22×D292—21no—
219C22×D292C2311yescharacteristic
220C22×C22⋊D73—21no—
221C22×C22⋊D73—21no—
222C22×C22⋊D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73C2311yescharacteristic
228C2×D4×D73C2311yescharacteristic
229C2×D4×D73C2311yescharacteristic
230C22×C4×D73—21no—
231#14556623—42no—
232#14556620—42no—
233#14556616—42no—
234#14556611—42no—
235C2×Dic292C2311yescharacteristic
236C2×#11924018C2311yescharacteristic
237C2×#11924018C2311yescharacteristic
238C2×#11924018C2311yescharacteristic
239C2×#11924017C2311yescharacteristic
240C2×#11924017C2311yescharacteristic
241C2×#11924016C2311yescharacteristic
242C2×#11924016C2311yescharacteristic
243C2×#11924016C2311yescharacteristic
244C2×#11924015C2311yescharacteristic
245C2×#11924015C2311yescharacteristic
246C2×#11924015C2311yescharacteristic
247C2×#11924015C2311yescharacteristic
248SD16×D73—42no—
249SD16×D73—42no—
250C2×#11924013C2311yescharacteristic
251C2×#11924013C2311yescharacteristic
252C2×#11924012C2311yescharacteristic
253C2×#11924011C2311yescharacteristic
254C2×#11924011C2311yescharacteristic
255C22×#10596831C2311yescharacteristic
256C2×C8×D73C2311yescharacteristic
257C2×C8×D73C2311yescharacteristic
258#14556591C2311yescharacteristic
259#14556590—21no—
260#14556590—21no—
261#14556590—21no—
262#14556590D411yescharacteristic
263#14556589C2311yescharacteristic
264#14556587D411yescharacteristic
265#14556587C2311yescharacteristic
266#14556586—21no—
267#14556586—21no—
268#14556584—21no—
269#14556582—21no—
270#14556582—21no—
271#14556582—21no—
272#14556582—21no—
273#14556582C2311yescharacteristic
274#14556579C2311yescharacteristic
275#14556578—21no—
276#14556578—21no—
277#14556578C2311yescharacteristic
278#14556577—21no—
279#14556577—21no—
280#14556577—21no—
281#14556577—21no—
282#14556577D411yescharacteristic
283#14556577D411yescharacteristic
284#14556576—21no—
285#14556576—21no—
286#14556576—21no—
287#14556576—21no—
288#14556575—21no—
289#14556575—21no—
290#14556575—21no—
291#14556574—21no—
292#14556573—21no—
293#14556573—21no—
294#14556573—21no—
295#14556573—21no—
296#14556573—21no—
297#14556572—21no—
298#14556571—21no—
299#14556571C2311yescharacteristic
300#14556571C2311yescharacteristic
301#14556570—21no—
302#14556570—21no—
303#14556570—21no—
304#14556570—21no—
305#14556570C2311yescharacteristic
306#14556570C2311yescharacteristic
307#14556570C2311yescharacteristic
308#14556569—21no—
309#14556569—21no—
310#14556569—21no—
311#14556568—21no—
312#14556568—21no—
313#14556568—21no—
314#14556567C2311yescharacteristic
315#14556567C2311yescharacteristic
316#14556567C2311yescharacteristic
317#14556567C2311yescharacteristic
318#14556567C2311yescharacteristic
319#14556566—21no—
320#14556566D411yescharacteristic
321#14556566C2311yescharacteristic
322#14556565—21no—
323#14556565—21no—
324#14556565—21no—
325#14556565—21no—
326#14556565C2311yescharacteristic
327#14556564—21no—
328#14556564—21no—
329#14556564—21no—
330#14556564—21no—
331#14556564—21no—
332#14556564—21no—
333#14556564—21no—
334#14556564—21no—
335#14556564—21no—
336#14556564D411yescharacteristic
337#14556564D411yescharacteristic
338#14556563—21no—
339#14556563—21no—
340#14556563—21no—
341#14556563—21no—
342#14556563—21no—
343#14556563—21no—
344#14556563—21no—
345#14556562—21no—
346#14556562—21no—
347#14556562—21no—
348#14556562D411yescharacteristic
349#14556562C2311yescharacteristic
350#14556562C2311yescharacteristic
351#14556562C2311yescharacteristic
352#14556562C2311yescharacteristic
353#14556561—21no—
354#14556561—21no—
355#14556561—21no—
356#14556560—21no—
357#14556559—21no—
358#14556559—21no—
359#14556559—21no—
360Q8×Dic73C2311yescharacteristic
361Q8×Dic73C2311yescharacteristic
362C4×Dic146C2311yescharacteristic
363#14556556—21no—
364C4×D292C2311yescharacteristic
365C4×D292C2311yescharacteristic
366D4×Dic73—21no—
367D4×Dic73C2311yescharacteristic
368#14556553—21no—
369#14556553C2311yescharacteristic
370C4×C22⋊D73—21no—
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#14556551—21no—
379#14556550—21no—
380#14556550—21no—
381#14556549—21no—
382#14556549C2311yescharacteristic
383#14556549C2311yescharacteristic
384#14556547—21no—
385#14556547—21no—
386C2×C4⋊Dic73C2311yescharacteristic
387C2×C4⋊Dic73C2311yescharacteristic
388C2×#11924007—21no—
389C4⋊C4×D73—21no—
390C4⋊C4×D73C2311yescharacteristic
391C2×#11924005—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C22⋊C4×D73—21no—
395C42×D73C2311yescharacteristic
396#14556525C2311yescharacteristic
397#14556525C2311yescharacteristic
398#14556525C2311yescharacteristic
399#14556524C2311yescharacteristic
400#14556524C2311yescharacteristic
401#14556524C2311yescharacteristic
402#14556522C2311yescharacteristic
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#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
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#14556502C2311yescharacteristic
443#14556501C2311yescharacteristic
444#14556501C2311yescharacteristic
445C2×#41×C73C2311yescharacteristic
446C2×#41×C73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C22×D4×C73C2311yescharacteristic
449AGL(1,ℤ/8)×C73—42no—
450#135×C73—42no—
451C2×Q16×C73C2311yescharacteristic
452C2×Q16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×SD16×C73C2311yescharacteristic
455C2×SD16×C73C2311yescharacteristic
456C2×SD16×C73C2311yescharacteristic
457C2×SD16×C73C2311yescharacteristic
458C2×D8×C73C2311yescharacteristic
459C2×D8×C73C2311yescharacteristic
460C2×M16×C73C2311yescharacteristic
461C22×C8×C73C2311yescharacteristic
462C4⋊Q8×C73C2311yescharacteristic
463#124×C73C2311yescharacteristic
464#123×C73—21no—
465#123×C73—21no—
466#123×C73—21no—
467C22⋊Q8×C73C2311yescharacteristic
468C22⋊Q8×C73C2311yescharacteristic
469C22⋊Q8×C73C2311yescharacteristic
470#121×C73—21no—
471#121×C73—21no—
472#121×C73C2311yescharacteristic
473#120×C73—21no—
474C4×D4×C73C2311yescharacteristic
475C4×D4×C73C2311yescharacteristic
476C4×D4×C73C2311yescharacteristic
477C2×C4⋊C4×C73—21no—
478C2×C22⋊C4×C73—21no—
479#106×C73C2311yescharacteristic
480C4⋊C8×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#103×C73C2311yescharacteristic
483#103×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486#102×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489#97×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494#11924029—22no—
495#11924029—41no—
496#11924029—41no—
497#11924029—41no—
498#11924028—22no—
499#11924028—41no—
500#11924028—41no—
501#11924028—41no—
502#11924028—41no—
503#11924028—41no—
504#11924028—44no—
505#11924027—22no—
506#11924027—41no—
507#11924027—41no—
508#11924027—41no—
509#11924027—44no—
510C2×Dic146—21no—
511C2×Dic146—21no—
512C2×Dic146—21no—
513C2×Dic146C2×D411yescharacteristic
514C2×Dic146C2×D411yescharacteristic
515C2×Dic146C2411yescharacteristic
516C2×Dic146C2411yescharacteristic
517Q8×D73—41no—
518Q8×D73—41no—
519Q8×D73—41no—
520Q8×D73—41no—
521C2×D292—22no—
522C2×D292—21no—
523C2×D292—21no—
524C2×D292—21no—
525C2×D292—21no—
526C2×D292—41no—
527C2×D292—44no—
528C2×D292C2×D411yescharacteristic
529C2×D292C2×D411yescharacteristic
530C2×D292C2×D411yescharacteristic
531C2×D292C2411yescharacteristic
532C2×D292C2411yescharacteristic
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—44no—
547C2×C22⋊D73—44no—
548C2×C22⋊D73—82no—
549C2×C22⋊D73C2×D411yescharacteristic
550C2×C22⋊D73C2×D411yescharacteristic
551C2×C22⋊D73C2×D411yescharacteristic
552C2×C22⋊D73C2×D411yescharacteristic
553C2×C22⋊D73C2×D411yescharacteristic
554C2×C22⋊D73C2×D411yescharacteristic
555D4×D73—22no—
556D4×D73—22no—
557D4×D73—22no—
558D4×D73—22no—
559D4×D73—41no—
560D4×D73—41no—
561D4×D73—44no—
562D4×D73—44no—
563D4×D73—44no—
564D4×D73—82no—
565C22×Dic73—21no—
566C22×Dic73—21no—
567C22×Dic73—21no—
568C22×Dic73—21no—
569C22×Dic73—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—21no—
577C2×C4×D73—21no—
578C2×C4×D73—82no—
579C2×C4×D73C2×D411yescharacteristic
580C2×C4×D73C2×D411yescharacteristic
581C2×C4×D73C2411yescharacteristic
582C2×C4×D73C2411yescharacteristic
583C2×C4×D73C2411yescharacteristic
584Dic292—41no—
585#11924018—41no—
586#11924018—41no—
587#11924018—41no—
588#11924017—22no—
589#11924017—41no—
590#11924016—22no—
591#11924016—41no—
592#11924016—41no—
593#11924015—22no—
594#11924015—22no—
595#11924015—41no—
596#11924015—41no—
597#11924013—22no—
598#11924013—41no—
599#11924012—41no—
600#11924011—41no—
601#11924011—41no—
602C2×#10596831—41no—
603C2×#10596831C2411yescharacteristic
604C2×#10596831C2411yescharacteristic
605C2×#10596831C2411yescharacteristic
606C2×#10596831C2411yescharacteristic
607C8×D73—41no—
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⋊Dic73—21no—
617C4⋊Dic73C2×D411yescharacteristic
618C4⋊Dic73C2411yescharacteristic
619C4⋊Dic73C2411yescharacteristic
620C4⋊Dic73C2411yescharacteristic
621C4⋊Dic73C2411yescharacteristic
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
637C22⋊Dic73—21no—
638C22⋊Dic73—21no—
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⋊Dic73C2×D411yescharacteristic
648C22⋊Dic73C2×D411yescharacteristic
649#11924005—21no—
650#11924005—21no—
651#11924005—21no—
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#11924005C2×D411yescharacteristic
665#11924005C2×D411yescharacteristic
666#11924005C2×D411yescharacteristic
667#11924005C2×D411yescharacteristic
668C4×Dic73—21no—
669C4×Dic73—21no—
670C4×Dic73—21no—
671C4×Dic73—21no—
672C4×Dic73—21no—
673C4×Dic73C2×D411yescharacteristic
674C4×Dic73C2×D411yescharacteristic
675C4×Dic73C2411yescharacteristic
676C24×C73—21no—
677#41×C73—22no—
678#41×C73—41no—
679#41×C73—41no—
680#41×C73—41no—
681#41×C73—41no—
682#41×C73—41no—
683C2×Q8×C73C2411yescharacteristic
684C2×Q8×C73C2411yescharacteristic
685C2×Q8×C73C2411yescharacteristic
686C2×D4×C73—22no—
687C2×D4×C73—21no—
688C2×D4×C73—21no—
689C2×D4×C73—21no—
690C2×D4×C73—21no—
691C2×D4×C73—21no—
692C2×D4×C73—41no—
693C2×D4×C73C2×D411yescharacteristic
694C2×D4×C73C2411yescharacteristic
695C2×D4×C73C2411yescharacteristic
696C2×D4×C73C2411yescharacteristic
697C22×C4×C73—21no—
698C22×C4×C73—21no—
699C22×C4×C73—21no—
700C22×C4×C73—21no—
701C22×C4×C73—21no—
702C22×C4×C73C2411yescharacteristic
703C22×C4×C73C2411yescharacteristic
704Q16×C73—41no—
705Q16×C73—41no—
706SD16×C73—22no—
707SD16×C73—22no—
708SD16×C73—41no—
709SD16×C73—41no—
710SD16×C73—41no—
711D8×C73—22no—
712D8×C73—41no—
713M16×C73—41no—
714C2×C8×C73—41no—
715C2×C8×C73C2411yescharacteristic
716C2×C8×C73C2411yescharacteristic
717C2×C8×C73C2411yescharacteristic
718C2×C8×C73C2411yescharacteristic
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×C73—21no—
735C22⋊C4×C73C2×D411yescharacteristic
736C22⋊C4×C73C2×D411yescharacteristic
737C42×C73C2411yescharacteristic
738C23×C73—21no—
739C23×C73—21no—
740C23×C73—21no—
741C23×C73—42no—
742C23×C73—81no—
743C23×C73—81no—
744C23×C73C22×D411yescharacteristic
745C23×C73C22×D411yescharacteristic
746C22×D73—21no—
747C22×D73—24no—
748C22×D73—21no—
749C22×D73—42no—
750C22×D73—42no—
751C22×D73—42no—
752C22×D73—81no—
753C22×D73—81no—
754C22×D73—81no—
755C22×D73—81no—
756C22×D73—81no—
757C22×D73—81no—
758C22×D73—81no—
759C22×D73—81no—
760C22×D73C22×D411yescharacteristic
761C22×D73C22×D411yescharacteristic
762C22×D73C22×D411yescharacteristic
763Q8×C73—21no—
764Q8×C73—21no—
765Q8×C73—21no—
766Q8×C73—21no—
767Q8×C73—21no—
768Q8×C73—21no—
769D4×C73—21no—
770D4×C73—21no—
771D4×C73—21no—
772D4×C73—21no—
773D4×C73—21no—
774D4×C73—41no—
775D4×C73—42no—
776D4×C73—42no—
777D4×C73—81no—
778D4×C73—81no—
779D4×C73—81no—
780D4×C73H(5,𝔽2)12yes—
781C2×C4×C73—21no—
782C2×C4×C73—21no—
783C2×C4×C73—21no—
784C2×C4×C73—21no—
785C2×C4×C73—21no—
786C2×C4×C73—21no—
787C2×C4×C73—21no—
788C2×C4×C73—21no—
789C2×C4×C73—21no—
790C2×C4×C73—42no—
791C2×C4×C73—42no—
792C2×C4×C73—81no—
793C2×C4×C73—81no—
794C2×C4×C73—81no—
795C2×C4×C73C22×D411yescharacteristic
796C2×C4×C73C22×D411yescharacteristic
797C2×C4×C73C22×D411yescharacteristic
798C2×C4×C73C22×D411yescharacteristic
799C2×C4×C73C2511yescharacteristic
800C22⋊D73—24no—
801C22⋊D73—41no—
802C22⋊D73—41no—
803C22⋊D73—41no—
804C22⋊D73—41no—
805C22⋊D73—41no—
806C22⋊D73—41no—
807C22⋊D73—42no—
808C22⋊D73—42no—
809C22⋊D73—42no—
810C22⋊D73—42no—
811C22⋊D73—42no—
812C22⋊D73—42no—
813C22⋊D73—81no—
814C22⋊D73—81no—
815C22⋊D73—81no—
816C22⋊D73—81no—
817C22⋊D73—81no—
818C22⋊D73—81no—
819C2×Dic73—21no—
820C2×Dic73—21no—
821C2×Dic73—21no—
822C2×Dic73—21no—
823C2×Dic73—21no—
824C2×Dic73—21no—
825C2×Dic73—42no—
826C2×Dic73—42no—
827C2×Dic73—42no—
828C2×Dic73—81no—
829C2×Dic73—81no—
830C2×Dic73C22×D411yescharacteristic
831C2×Dic73C22×D411yescharacteristic
832C2×Dic73C22×D411yescharacteristic
833C2×Dic73C22×D411yescharacteristic
834C2×Dic73C22×D411yescharacteristic
835D292—21no—
836D292—21no—
837D292—21no—
838D292—41no—
839D292—41no—
840D292—41no—
841D292—42no—
842D292—42no—
843D292—42no—
844D292—81no—
845D292H(5,𝔽2)12yes—
846C4×D73—21no—
847C4×D73—21no—
848C4×D73—21no—
849C4×D73—21no—
850C4×D73—21no—
851C4×D73—21no—
852C4×D73—41no—
853C4×D73—41no—
854C4×D73—42no—
855C4×D73—42no—
856C4×D73—42no—
857C4×D73—42no—
858C4×D73—81no—
859C4×D73—81no—
860C4×D73—81no—
861C4×D73—81no—
862Dic146—21no—
863Dic146—21no—
864Dic146—21no—
865Dic146—21no—
866Dic146—41no—
867Dic146—41no—
868Dic146—81no—
869Dic146—81no—
870Dic146—81no—
871C8×C73—21no—
872C8×C73—21no—
873C8×C73—21no—
874C8×C73—21no—
875#10596831—21no—
876#10596831—21no—
877#10596831—21no—
878#10596831—21no—
879C22×C73—21no—
880C22×C73—21no—
881C22×C73—21no—
882C22×C73—21no—
883C22×C73—22no—
884C22×C73—21no—
885C22×C73—21no—
886C22×C73—41no—
887C22×C73—41no—
888C22×C73—41no—
889C22×C73—41no—
890C22×C73—41no—
891C22×C73—41no—
892C22×C73—41no—
893C22×C73—41no—
894C22×C73—162no—
895C22×C73C23×D411yescharacteristic
896C2×D73—21no—
897C2×D73—21no—
898C2×D73—21no—
899C2×D73—21no—
900C2×D73—21no—
901C2×D73—21no—
902C2×D73—21no—
903C2×D73—21no—
904C2×D73—21no—
905C2×D73—22no—
906C2×D73—41no—
907C2×D73—41no—
908C2×D73—41no—
909C2×D73—41no—
910C2×D73—41no—
911C2×D73—84no—
912C2×D73—162no—
913C2×D73—162no—
914C2×D73—162no—
915C4×C73—21no—
916C4×C73—21no—
917C4×C73—21no—
918C4×C73—21no—
919C4×C73—41no—
920C4×C73—41no—
921C4×C73—41no—
922C4×C73—41no—
923C4×C73—41no—
924C4×C73C2×H(5,𝔽2)11yescharacteristic
925C4×C73C2×H(5,𝔽2)11yescharacteristic
926Dic73—21no—
927Dic73—21no—
928Dic73—21no—
929Dic73—21no—
930Dic73—21no—
931Dic73—41no—
932Dic73—41no—
933Dic73—41no—
934Dic73—41no—
935Dic73—41no—
936Dic73—41no—
937#61670—731nomaximal, Sylow
938C2×C73—42no—
939C2×C73—41no—
940C2×C73—41no—
941C2×C73—81no—
942C2×C73—81no—
943C2×C73#348411yescharacteristic
944C2×C73#358511yescharacteristic
945C2×C73#358611yescharacteristic
946D73—41no—
947D73—41no—
948D73—41no—
949D73—42no—
950D73—81no—
951#3547—731no—
952#3496—731no—
953#3319—731no—
954#3319—731no—
955#3315—731no—
956#3315—731no—
957#3314—731no—
958#3314—731no—
959#3310—731no—
960#3310—731no—
961#3269—731no—
962#3269—731no—
963#3267—731no—
964#3267D7311yescharacteristic, complemented
965#3266—731no—
966#3266—731no—
967#3265—731no—
968#3265—731no—
969#3219—731no—
970#3216—731no—
971#3203—731no—
972#3203—731no—
973#3201—731no—
974#3201—731no—
975#3114—731no—
976#3110—731no—
977#3012—731no—
978#3012—731no—
979#3009—731no—
980#3009—731no—
981#2980—731no—
982C73#6167011yescharacteristic, complemented, Sylow
983C2×H(5,𝔽2)—731no—
984C2×H(5,𝔽2)—731no—
985C2×#137—731no—
986C2×#137—731no—
987C2×AGL(1,ℤ/8)—731no—
988C2×AGL(1,ℤ/8)C2×D7311yescharacteristic, complemented
989C2×#135—731no—
990C2×#135C2×D7311yescharacteristic, complemented
991C22×SD16—731no—
992C22×SD16—731no—
993#562—1461no—
994#562—1461no—
995#555—731no—
996#555—1461no—
997#554—731no—
998#553—1461no—
999#552—731no—
1000#552—731no—
1001D4×Q8—731no—
1002#548—731no—
1003#548—731no—
1004#547—731no—
1005#547—731no—
1006#547—1461no—
1007#547C2×D7311yescharacteristic, complemented
1008#546—731no—
1009#546—731no—
1010#546—731no—
1011#546—1461no—
1012#546—1461no—
1013#546C2×D7311yescharacteristic
1014D42—731no—
1015D42—731no—
1016D42—1461no—
1017#544—1461no—
1018#542—1461no—
1019#542—1461no—
1020#540—1461no—
1021#537—731no—
1022#537—731no—
1023#537—731no—
1024#537—731no—
1025#536—731no—
1026#536—731no—
1027#534—1461no—
1028#534—1461no—
1029#533—731no—
1030#532—731no—
1031#532—731no—
1032#529—731no—
1033C2×#121—1461no—
1034C2×#121—1461no—
1035C2×C4×D4—731no—
1036#497—731no—
1037#497—731no—
1038#497C2×D7311yescharacteristic, complemented
1039#496—731no—
1040#491—731no—
1041#490—731no—
1042#489—731no—
1043#489—731no—
1044#485—731no—
1045#485—731no—
1046#484—731no—
1047#484—731no—
1048#484—731no—
1049#484—731no—
1050#483—731no—
1051#482—731no—
1052#482—731no—
1053#480—731no—
1054#480—731no—
1055#480—731no—
1056#478—731no—
1057#478—731no—
1058#474—731no—
1059#474—731no—
1060#470—731no—
1061#470C2×D7311yescharacteristic, complemented
1062#468—731no—
1063#468—731no—
1064#468—731no—
1065#468—731no—
1066#468—731no—
1067#468—731no—
1068#467—731no—
1069#467—731no—
1070#467—731no—
1071#467—731no—
1072#466—731no—
1073#466—731no—
1074#465—731no—
1075#465C2×D7311yescharacteristic, complemented
1076#464—731no—
1077#464—731no—
1078#463—731no—
1079#463—731no—
1080#463—731no—
1081#463C2×D7311yescharacteristic, complemented
1082#462—731no—
1083#462—731no—
1084#461—731no—
1085#461C2×D7311yescharacteristic, complemented
1086#460—731no—
1087#460—731no—
1088#452—731no—
1089#452—731no—
1090#452—731no—
1091#452—731no—
1092#452—731no—
1093#452—731no—
1094#452—731no—
1095#452—731no—
1096#452—731no—
1097#452—731no—
1098#452—731no—
1099#452—731no—
1100#452C2×D7311yescharacteristic, complemented
1101#452C2×D7311yescharacteristic, complemented
1102#451—731no—
1103#451—731no—
1104#450—731no—
1105#450—731no—
1106#450—731no—
1107#450—731no—
1108#450—731no—
1109#450—731no—
1110#450—731no—
1111#450—731no—
1112#450C2×D7311yescharacteristic, complemented
1113#449—731no—
1114#449—731no—
1115#449—731no—
1116#449—731no—
1117#449—731no—
1118#449C2×D7311yescharacteristic, complemented
1119#448—731no—
1120#448—731no—
1121#447—731no—
1122#447—731no—
1123#447—731no—
1124#442—731no—
1125#442C2×D7311yescharacteristic, complemented
1126#440—731no—
1127#440—731no—
1128#440—731no—
1129#440—731no—
1130#440—731no—
1131#440—731no—
1132#435—731no—
1133#435—731no—
1134#435—731no—
1135#435—731no—
1136#435—731no—
1137#435—731no—
1138#435—731no—
1139#435C2×D7311yescharacteristic, complemented
1140#432—731no—
1141#432—731no—
1142#418—731no—
1143#418—731no—
1144#417—731no—
1145#417—731no—
1146#416—731no—
1147#416—731no—
1148C2×#102—731no—
1149C2×#102—731no—
1150#408—731no—
1151#408—731no—
1152#408—731no—
1153#408—731no—
1154H(5,𝔽2)—2922no—
1155H(5,𝔽2)—2922no—
1156H(5,𝔽2)—2922no—
1157H(5,𝔽2)—2922no—
1158C2×#41—731no—
1159C2×#41—731no—
1160C2×#41—731no—
1161C2×#41—731no—
1162C2×#41—731no—
1163C2×#41—731no—
1164C2×#41—731no—
1165C2×#41—1461no—
1166C2×#41—1461no—
1167C2×#41C22×D7311yescharacteristic
1168C2×#41C22×D7311yescharacteristic
1169C2×#41C22×D7311yescharacteristic
1170C22×Q8—731no—
1171C22×Q8—731no—
1172C22×D4—731no—
1173C22×D4—731no—
1174C22×D4—731no—
1175C22×D4—731no—
1176C22×D4—1461no—
1177C22×D4—1461no—
1178C22×D4—1461no—
1179C22×D4—1461no—
1180C22×D4—1461no—
1181C22×D4—1461no—
1182C22×D4—1461no—
1183C22×D4—1461no—
1184C22×D4C22×D7311yescharacteristic
1185C23×C4—1461no—
1186#137—2922no—
1187#137—2922no—
1188AGL(1,ℤ/8)—42no—
1189AGL(1,ℤ/8)—2922no—
1190#135—42no—
1191#135—2922no—
1192C2×Q16—731no—
1193C2×Q16—731no—
1194C2×Q16—731no—
1195C2×Q16—731no—
1196C2×Q16C22×D7311yescharacteristic
1197C2×Q16C22×D7311yescharacteristic
1198C2×SD16—2922no—
1199C2×SD16—2922no—
1200C2×SD16—731no—
1201C2×SD16—731no—
1202C2×SD16—731no—
1203C2×SD16—731no—
1204C2×SD16—731no—
1205C2×SD16—731no—
1206C2×SD16—731no—
1207C2×SD16—731no—
1208C2×SD16—731no—
1209C2×SD16C22×D7311yescharacteristic
1210C2×SD16C22×D7311yescharacteristic
1211C2×SD16C22×D7311yescharacteristic
1212C2×SD16C22×D7311yescharacteristic
1213C2×SD16C22×D7311yescharacteristic
1214C2×D8—731no—
1215C2×D8—731no—
1216C2×D8C22×D7311yescharacteristic
1217C2×D8C22×D7311yescharacteristic
1218C2×M16—731no—
1219C2×M16—731no—
1220C2×M16—731no—
1221C2×M16C22×D7311yescharacteristic
1222C22×C8—731no—
1223C22×C8—731no—
1224C22×C8—731no—
1225C22×C8C22×D7311yescharacteristic
1226C4⋊Q8—731no—
1227C4⋊Q8—731no—
1228C4⋊Q8—731no—
1229C4⋊Q8—1461no—
1230C4⋊Q8—1461no—
1231C4⋊Q8—1461no—
1232C4⋊Q8C22×D7311yescharacteristic
1233#127—731no—
1234#127—731no—
1235#126—1461no—
1236#126—1461no—
1237#126—1461no—
1238#125—731no—
1239#125—1461no—
1240#125—1461no—
1241#125—1461no—
1242#125—1461no—
1243#124—731no—
1244#124—731no—
1245#124—731no—
1246#124—731no—
1247#124—1461no—
1248#124—1461no—
1249#124—1461no—
1250#124—1461no—
1251#124—1461no—
1252#124—1461no—
1253#124C22×D7311yescharacteristic
1254#123—21no—
1255#123—21no—
1256#123—21no—
1257#123—1461no—
1258#123—1461no—
1259#123—1461no—
1260#123—1461no—
1261#123—1461no—
1262#123—1461no—
1263#123—1461no—
1264#123—1461no—
1265#123—1461no—
1266#123—1461no—
1267#123—1461no—
1268#123—1461no—
1269#123—1461no—
1270#123—1461no—
1271C22⋊Q8—731no—
1272C22⋊Q8—731no—
1273C22⋊Q8—731no—
1274C22⋊Q8—731no—
1275C22⋊Q8—731no—
1276C22⋊Q8—731no—
1277C22⋊Q8—731no—
1278C22⋊Q8—731no—
1279C22⋊Q8—731no—
1280C22⋊Q8—731no—
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⋊Q8—1461no—
1291C22⋊Q8—1461no—
1292C22⋊Q8C22×D7311yescharacteristic
1293C22⋊Q8C22×D7311yescharacteristic
1294C22⋊Q8C22×D7311yescharacteristic
1295#121—21no—
1296#121—21no—
1297#121—731no—
1298#121—731no—
1299#121—731no—
1300#121—731no—
1301#121—731no—
1302#121—731no—
1303#121—731no—
1304#121—731no—
1305#121—731no—
1306#121—731no—
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#121—1461no—
1324#121—1461no—
1325#121—1461no—
1326#121—1461no—
1327#121—1461no—
1328#121—1461no—
1329#121—1461no—
1330#121—1461no—
1331#121C22×D7311yescharacteristic
1332#120—21no—
1333#120—1461no—
1334#120—1461no—
1335#120—1461no—
1336#120—1461no—
1337#120—1461no—
1338#120—1461no—
1339#120—1461no—
1340C4×Q8—731no—
1341C4×Q8—731no—
1342C4×Q8—731no—
1343C4×Q8—1461no—
1344C4×D4—731no—
1345C4×D4—731no—
1346C4×D4—731no—
1347C4×D4—731no—
1348C4×D4—731no—
1349C4×D4—731no—
1350C4×D4—1461no—
1351C4×D4—1461no—
1352C4×D4—1461no—
1353C4×D4—1461no—
1354C4×D4—1461no—
1355C4×D4—1461no—
1356C4×D4—1461no—
1357C4×D4—1461no—
1358C4×D4—1461no—
1359C4×D4C22×D7311yescharacteristic
1360C4×D4C22×D7311yescharacteristic
1361C4×D4C22×D7311yescharacteristic
1362#117—731no—
1363#117—731no—
1364#117—1461no—
1365#117—1461no—
1366#117—1461no—
1367#117—1461no—
1368#117—1461no—
1369C2×C4⋊C4—21no—
1370C2×C4⋊C4—731no—
1371C2×C4⋊C4—731no—
1372C2×C4⋊C4—731no—
1373C2×C4⋊C4—1461no—
1374C2×C4⋊C4—1461no—
1375C2×C22⋊C4—21no—
1376C2×C22⋊C4—1461no—
1377C2×C22⋊C4—1461no—
1378C2×C22⋊C4—1461no—
1379C2×C22⋊C4—1461no—
1380C2×C42—731no—
1381#107—731no—
1382#107—731no—
1383#107—731no—
1384#107—731no—
1385#107—731no—
1386#107—731no—
1387#106—731no—
1388#106C22×D7311yescharacteristic
1389C4⋊C8—731no—
1390C4⋊C8—731no—
1391C4⋊C8—731no—
1392C4⋊C8C22×D7311yescharacteristic
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103—731no—
1397#103—731no—
1398#103—731no—
1399#103—731no—
1400#103—731no—
1401#103—731no—
1402#103—731no—
1403#103—731no—
1404#103C22×D7311yescharacteristic
1405#103C22×D7311yescharacteristic
1406#103C22×D7311yescharacteristic
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102—731no—
1412#102—731no—
1413#102—731no—
1414#102—731no—
1415#102—731no—
1416#102—731no—
1417#102—731no—
1418#102—731no—
1419#102—731no—
1420#102—731no—
1421#102—731no—
1422#102C22×D7311yescharacteristic
1423#102C22×D7311yescharacteristic
1424#102C22×D7311yescharacteristic
1425C22⋊C8—731no—
1426C22⋊C8—731no—
1427C22⋊C8—731no—
1428C22⋊C8—731no—
1429C22⋊C8—731no—
1430C22⋊C8—731no—
1431C22⋊C8—731no—
1432C22⋊C8—731no—
1433C22⋊C8—731no—
1434C22⋊C8—731no—
1435C22⋊C8C22×D7311yescharacteristic
1436C22⋊C8C22×D7311yescharacteristic
1437#97—731no—
1438#97—731no—
1439#97—731no—
1440#97C22×D7311yescharacteristic
1441C24—21no—
1442C24—1461no—
1443C24—1461no—
1444C24—1461no—
1445C24—1461no—
1446#41—22no—
1447#41—41no—
1448#41—41no—
1449#41—41no—
1450#41—41no—
1451#41—41no—
1452#41—2921no—
1453#41—2921no—
1454#41—2921no—
1455#41—2921no—
1456#41—2921no—
1457#41—2924no—
1458#41—2924no—
1459#41—2921no—
1460#41—2921no—
1461#41—2921no—
1462#41—2921no—
1463#41—2921no—
1464#41—2921no—
1465#41—1462no—
1466#41—1462no—
1467#41—1462no—
1468C2×Q8—2921no—
1469C2×Q8—2921no—
1470C2×Q8—2921no—
1471C2×Q8—2921no—
1472C2×Q8—731no—
1473C2×Q8—731no—
1474C2×Q8—731no—
1475C2×Q8—731no—
1476C2×Q8—1461no—
1477C2×Q8—1461no—
1478C2×Q8—1461no—
1479C2×Q8C23×D7311yescharacteristic
1480C2×Q8C23×D7311yescharacteristic
1481C2×Q8C23×D7311yescharacteristic
1482C2×D4—22no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—41no—
1489C2×D4—2921no—
1490C2×D4—2924no—
1491C2×D4—2924no—
1492C2×D4—2924no—
1493C2×D4—2924no—
1494C2×D4—2924no—
1495C2×D4—2924no—
1496C2×D4—2921no—
1497C2×D4—2921no—
1498C2×D4—5842no—
1499C2×D4—5842no—
1500C2×D4—731no—
1501C2×D4—731no—
1502C2×D4—731no—
1503C2×D4—731no—
1504C2×D4—731no—
1505C2×D4—731no—
1506C2×D4—731no—
1507C2×D4—731no—
1508C2×D4—731no—
1509C2×D4—731no—
1510C2×D4—731no—
1511C2×D4—1461no—
1512C2×D4—1461no—
1513C2×D4—1462no—
1514C2×D4—1461no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1462no—
1521C2×D4—1462no—
1522C2×D4—1461no—
1523C2×D4—1461no—
1524C2×D4—1461no—
1525C2×D4—1462no—
1526C2×D4—1461no—
1527C2×D4—1461no—
1528C2×D4—1461no—
1529C2×D4—1461no—
1530C2×D4—1461no—
1531C2×D4—1462no—
1532C2×D4—1461no—
1533C2×D4D4×D7311yescharacteristic
1534C2×D4C23×D7311yescharacteristic
1535C2×D4C23×D7311yescharacteristic
1536C2×D4C23×D7311yescharacteristic
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—21no—
1540C22×C4—21no—
1541C22×C4—21no—
1542C22×C4—5842no—
1543C22×C4—731no—
1544C22×C4—731no—
1545C22×C4—731no—
1546C22×C4—731no—
1547C22×C4—731no—
1548C22×C4—1461no—
1549C22×C4—1461no—
1550C22×C4—1461no—
1551C22×C4—1461no—
1552C22×C4—1461no—
1553C22×C4—1461no—
1554C22×C4—1461no—
1555C22×C4—1461no—
1556C22×C4—1461no—
1557C22×C4—1461no—
1558C22×C4—1461no—
1559C22×C4—1461no—
1560C22×C4—1461no—
1561C22×C4C23×D7311yescharacteristic
1562C22×C4C23×D7311yescharacteristic
1563Q16—41no—
1564Q16—41no—
1565Q16—2921no—
1566Q16—2921no—
1567Q16—2921no—
1568Q16—2921no—
1569SD16—22no—
1570SD16—22no—
1571SD16—41no—
1572SD16—41no—
1573SD16—41no—
1574SD16—2921no—
1575SD16—2921no—
1576SD16—2921no—
1577SD16—2921no—
1578SD16—2921no—
1579SD16—1462no—
1580SD16—1462no—
1581SD16—1462no—
1582SD16—1462no—
1583D8—22no—
1584D8—41no—
1585D8—2921no—
1586D8—1462no—
1587M16—41no—
1588M16—2921no—
1589M16—2921no—
1590M16—2921no—
1591C2×C8—41no—
1592C2×C8—2921no—
1593C2×C8—2921no—
1594C2×C8—2921no—
1595C2×C8—731no—
1596C2×C8—731no—
1597C2×C8—731no—
1598C2×C8—731no—
1599C2×C8C23×D7311yescharacteristic
1600C2×C8C23×D7311yescharacteristic
1601C2×C8C23×D7311yescharacteristic
1602C2×C8C23×D7311yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—731no—
1609C4⋊C4—731no—
1610C4⋊C4—731no—
1611C4⋊C4—731no—
1612C4⋊C4—731no—
1613C4⋊C4—731no—
1614C4⋊C4—731no—
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⋊C4—1461no—
1629C4⋊C4—1461no—
1630C4⋊C4—1461no—
1631C4⋊C4—1461no—
1632C4⋊C4—1461no—
1633C4⋊C4—1461no—
1634C4⋊C4—1461no—
1635C4⋊C4—1461no—
1636C4⋊C4D4×D7311yescharacteristic
1637C4⋊C4C23×D7311yescharacteristic
1638C4⋊C4C23×D7311yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—21no—
1647C22⋊C4—731no—
1648C22⋊C4—731no—
1649C22⋊C4—731no—
1650C22⋊C4—731no—
1651C22⋊C4—731no—
1652C22⋊C4—731no—
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⋊C4—1461no—
1672C22⋊C4—1461no—
1673C22⋊C4—1461no—
1674C22⋊C4—1461no—
1675C22⋊C4—1461no—
1676C22⋊C4—1461no—
1677C22⋊C4—1461no—
1678C22⋊C4D4×D7311yescharacteristic
1679C22⋊C4D4×D7311yescharacteristic
1680C42—731no—
1681C42—731no—
1682C42—731no—
1683C42—1461no—
1684C42—1461no—
1685C42—1461no—
1686C42—1461no—
1687C42—1461no—
1688C42C23×D7311yescharacteristic
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—42no—
1693C23—81no—
1694C23—81no—
1695C23—2922no—
1696C23—2922no—
1697C23—2922no—
1698C23—5841no—
1699C23—5841no—
1700C23—5841no—
1701C23—5841no—
1702C23—5841no—
1703C23—5841no—
1704C23—5841no—
1705C23—5841no—
1706C23—731no—
1707C23—731no—
1708C23—731no—
1709C23—1464no—
1710C23—1461no—
1711C23—1461no—
1712C23C2×D4×D7311yescharacteristic
1713C23C2×D4×D7311yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—2921no—
1721Q8—2921no—
1722Q8—5841no—
1723Q8—5841no—
1724Q8—5841no—
1725Q8—1461no—
1726Q8—1461no—
1727Q8—1461no—
1728Q8—1461no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—41no—
1735D4—42no—
1736D4—42no—
1737D4—81no—
1738D4—81no—
1739D4—81no—
1740D4—2922no—
1741D4—2921no—
1742D4—2921no—
1743D4—2921no—
1744D4—2922no—
1745D4—2922no—
1746D4—2922no—
1747D4—2922no—
1748D4—2922no—
1749D4—2922no—
1750D4—2921no—
1751D4—2921no—
1752D4—2921no—
1753D4—2921no—
1754D4—2921no—
1755D4—2921no—
1756D4—2922no—
1757D4—2922no—
1758D4—5841no—
1759D4—5841no—
1760D4—5841no—
1761D4—5841no—
1762D4—5841no—
1763D4—5841no—
1764D4—5841no—
1765D4—732no—
1766D4—1464no—
1767D4—1461no—
1768D4—1461no—
1769D4—1461no—
1770D4#1455663612yes—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—42no—
1781C2×C4—42no—
1782C2×C4—81no—
1783C2×C4—81no—
1784C2×C4—81no—
1785C2×C4—2922no—
1786C2×C4—2921no—
1787C2×C4—2921no—
1788C2×C4—2922no—
1789C2×C4—2922no—
1790C2×C4—2922no—
1791C2×C4—2922no—
1792C2×C4—2922no—
1793C2×C4—2922no—
1794C2×C4—5841no—
1795C2×C4—5841no—
1796C2×C4—5841no—
1797C2×C4—5841no—
1798C2×C4—5841no—
1799C2×C4—5841no—
1800C2×C4—731no—
1801C2×C4—731no—
1802C2×C4—731no—
1803C2×C4—731no—
1804C2×C4—731no—
1805C2×C4—1461no—
1806C2×C4—1461no—
1807C2×C4—1461no—
1808C2×C4—1461no—
1809C2×C4—1461no—
1810C2×C4—1461no—
1811C2×C4—1461no—
1812C2×C4—1461no—
1813C2×C4—1461no—
1814C2×C4—1461no—
1815C2×C4—1461no—
1816C2×C4—1461no—
1817C2×C4C2×D4×D7311yescharacteristic
1818C2×C4C2×D4×D7311yescharacteristic
1819C2×C4C2×D4×D7311yescharacteristic
1820C2×C4C2×D4×D7311yescharacteristic
1821C2×C4C24×D7311yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1461no—
1827C8—1461no—
1828C8—1461no—
1829C8—1461no—
1830C22—21no—
1831C22—21no—
1832C22—22no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—162no—
1846C22—2921no—
1847C22—2921no—
1848C22—2921no—
1849C22—2921no—
1850C22—2921no—
1851C22—5844no—
1852C22—11682no—
1853C22—11682no—
1854C22—11682no—
1855C22—1462no—
1856C22—1461no—
1857C22—1461no—
1858C22—1461no—
1859C22—1461no—
1860C22—1461no—
1861C22—1461no—
1862C22—1461no—
1863C22—1461no—
1864C22—1461no—
1865C22C22×D4×D7311yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—2921no—
1876C4—2921no—
1877C4—2921no—
1878C4—2921no—
1879C4—2921no—
1880C4—2921no—
1881C4—1461no—
1882C4—1461no—
1883C4—1461no—
1884C4—1461no—
1885C4—1461no—
1886C4H(5,𝔽2)×D7311yescharacteristic
1887C4C2×#1455663611yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—42no—
1891C2—81no—
1892C2—81no—
1893C2—2922no—
1894C2—2921no—
1895C2—2921no—
1896C2—2921no—
1897C2—5841no—
1898C2#2262355911yescharacteristic
1899C2#2262470911yescharacteristic
1900C2#2262471511yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3267C2
socleC22×C73C23×D4
hypercenter#3267D73
hypocenterC73#61670
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3267

Complements

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

NH ≅ G/Ntype
1. #22624308C2semidirect
2. #22623691C2semidirect
3. #22622094C2semidirect
4. #22622092C2semidirect
5. #22622022C2semidirect
6. #22622020C2semidirect
7. #22622014C2semidirect
8. #22622012C2semidirect
9. #22621958C2semidirect
10. #22621956C2semidirect
11. #22621486C2semidirect
12. #22621479C2semidirect
13. #22621457C2semidirect
14. #22621447C2semidirect
15. #22621440C2semidirect
16. #22621429C2semidirect
17. #22621420C2semidirect
18. #22620967C2semidirect
19. #22620937C2semidirect
20. #22620832C2semidirect
21. #22620830C2semidirect
22. #22620814C2semidirect
23. #22620806C2semidirect
24. #22620067C2semidirect
25. #22620029C2semidirect
26. #22619234C2semidirect
27. #22619231C2semidirect
28. #22619205C2semidirect
29. #22619203C2semidirect
30. #22618999C2semidirect
31. C73×#3267C2semidirect
34. C2×#14556623C22semidirect
35. C2×#14556620C22semidirect
36. C2×#14556616C22semidirect
37. C2×#14556611C22semidirect
38. C2×SD16×D73C22semidirect
39. C2×SD16×D73C22semidirect
42. #17989302C22semidirect
44. #17989294C22semidirect
46. #17989279C22semidirect
47. #17989279C22semidirect
48. #17989252C22semidirect
49. #17989244C22semidirect
50. #17989244C22semidirect
68. #17989165C22semidirect
69. #17989165C22semidirect
70. #17989160C22semidirect
71. #17989160C22semidirect
74. #17989142C22semidirect
77. #17989119C22semidirect
81. #17988979C22semidirect
82. #17988978C22semidirect
83. #17988975C22semidirect
84. #17988954C22semidirect
85. #17988950C22semidirect
86. #17988947C22semidirect
87. #17988946C22semidirect
88. #17988931C22semidirect
89. #17988927C22semidirect
90. #17988923C22semidirect
91. #17988921C22semidirect
92. #17988921C22semidirect
93. #17988920C22semidirect
94. #17988919C22semidirect
95. #17988913C22semidirect
96. #17988909C22semidirect
97. #17988901C22semidirect
98. #17988899C22semidirect
99. #17988898C22semidirect
100. #17988886C22semidirect
101. #17988885C22semidirect
102. #17988868C22semidirect
103. #17988867C22semidirect
104. #17988843C22semidirect
105. #17988836C22semidirect
106. #17988833C22semidirect
107. #17988832C22semidirect
108. #17988831C22semidirect
109. #17988830C22semidirect
110. #17988830C22semidirect
111. #17988828C22semidirect
112. #17988827C22semidirect
113. #17988826C22semidirect
114. #17988825C22semidirect
115. #17988822C22semidirect
116. #17988820C22semidirect
117. #17988818C22semidirect
118. #17988810C22semidirect
119. #17988806C22semidirect
120. #17988802C22semidirect
121. #17988801C22semidirect
122. #17988800C22semidirect
123. #17988795C22semidirect
124. #17988795C22semidirect
125. #17988789C22semidirect
126. #17988785C22semidirect
127. #17988785C22semidirect
128. #17988752C22semidirect
129. #17988751C22semidirect
130. #17988750C22semidirect
131. #17988749C22semidirect
132. #17988749C22semidirect
133. #17988748C22semidirect
134. #17988748C22semidirect
135. #17988748C22semidirect
136. #17988747C22semidirect
137. #17988746C22semidirect
138. #17988746C22semidirect
139. #17988746C22semidirect
140. #17988744C22semidirect
141. #17988741C22semidirect
142. #17988740C22semidirect
144. #17988738C22semidirect
145. #17988737C22semidirect
148. #17988736C22semidirect
149. #17988736C22semidirect
150. #17988732C22semidirect
151. #17988731C22semidirect
152. #17988731C22semidirect
153. #17988729C22semidirect
154. #17988729C22semidirect
155. #17988727C22semidirect
156. #17988724C22semidirect
158. #17988719C22semidirect
159. #17988719C22semidirect
160. #17988697C22semidirect
161. #17988690C22semidirect
162. #17988690C22semidirect
163. #17988689C22semidirect
164. #17988688C22semidirect
165. #17988688C22semidirect
166. #17988687C22semidirect
167. #17988661C22semidirect
168. #17988660C22semidirect
169. #17988659C22semidirect
170. #17988658C22semidirect
171. #17988657C22semidirect
172. #17988656C22semidirect
173. #17988655C22semidirect
174. #17988643C22semidirect
175. #17988642C22semidirect
176. #17988590C22semidirect
177. #17988590C22semidirect
178. #17988589C22semidirect
179. #17988588C22semidirect
180. #17988582C22semidirect
181. #17988580C22semidirect
182. C2×#14556513C22semidirect
183. C2×#14556512C22semidirect
184. #17988555C22semidirect
185. #17988553C22semidirect
186. #17988552C22semidirect
187. #17988552C22semidirect
188. C2×AGL(1,ℤ/8)×C73C22semidirect
189. C2×#135×C73C22semidirect
190. #547×C73C22semidirect
192. #497×C73C22semidirect
193. #470×C73C22semidirect
194. #465×C73C22semidirect
195. #463×C73C22semidirect
196. #461×C73C22semidirect
197. #452×C73C22semidirect
198. #452×C73C22semidirect
199. #450×C73C22semidirect
200. #449×C73C22semidirect
201. #442×C73C22semidirect
202. #435×C73C22semidirect
964. #3267D73semidirect
982. C73#61670semidirect
988. C2×AGL(1,ℤ/8)C2×D73semidirect
990. C2×#135C2×D73semidirect
1007. #547C2×D73semidirect
1038. #497C2×D73semidirect
1061. #470C2×D73semidirect
1075. #465C2×D73semidirect
1081. #463C2×D73semidirect
1085. #461C2×D73semidirect
1100. #452C2×D73semidirect
1101. #452C2×D73semidirect
1112. #450C2×D73semidirect
1118. #449C2×D73semidirect
1125. #442C2×D73semidirect
1139. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226243082
#226236912
#226220942
#226220922
#226220222
#226220202
#226220142
#226220122
#226219582
#226219562
#226214862
#226214792
#226214572
#226214472
#226214402
#226214292
#226214202
#226209672
#226209372
#226208322
#226208302
#226208142
#226208062
#226200672
#226200292
#226192342
#226192312
#226192052
#226192032
#226189992
C73×#32672
#6167073