Finite Group Databasebeta

← #33972547

Subgroups — #33972547

Order 18688.

2100 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#22624210C211yesmaximal, characteristic, complemented
2#22623594C211yesmaximal, characteristic, complemented
3#22622270C211yesmaximal, characteristic, complemented
4#22622194C211yesmaximal, characteristic, complemented
5#22622164C211yesmaximal, characteristic, complemented
6#22622125C211yesmaximal, characteristic, complemented
7#22622012C211yesmaximal, characteristic, complemented
8#22622004C211yesmaximal, characteristic, complemented
9#22621956C211yesmaximal, characteristic, complemented
10#22621932C211yesmaximal, characteristic, complemented
11#22621595C211yesmaximal, characteristic, complemented
12#22621586C211yesmaximal, characteristic, complemented
13#22621525C211yesmaximal, characteristic, complemented
14#22621517C211yesmaximal, characteristic, complemented
15#22621490C211yesmaximal, characteristic, complemented
16#22621435C211yesmaximal, characteristic, complemented
17#22621432C211yesmaximal, characteristic, complemented
18#22621018C211yesmaximal, characteristic, complemented
19#22621000C211yesmaximal, characteristic, complemented
20#22620832C211yesmaximal, characteristic, complemented
21#22620814C211yesmaximal, characteristic, complemented
22#22620740C211yesmaximal, characteristic, complemented
23#22620735C211yesmaximal, characteristic, complemented
24#22620190C211yesmaximal, characteristic, complemented
25#22620141C211yesmaximal, characteristic, complemented
26#22619234C211yesmaximal, characteristic, complemented
27#22619203C211yesmaximal, characteristic, complemented
28#22619187C211yesmaximal, characteristic, complemented
29#22619169C211yesmaximal, characteristic, complemented
30#22618988C211yesmaximal, characteristic, complemented
31C73×#3275C211yesmaximal, characteristic, complemented
32C2×#14556636C2211yescharacteristic
33C2×#41×D73C2211yescharacteristic
34C2×#14556622C2211yescharacteristic, complemented
35C2×#14556620C2211yescharacteristic, complemented
36C2×#14556620C2211yescharacteristic, complemented
37C2×#14556615C2211yescharacteristic, complemented
38C2×#14556611C2211yescharacteristic, complemented
39C2×SD16×D73C2211yescharacteristic, complemented
40#17989338—21no—
41#17989331—21no—
42#17989310C2211yescharacteristic, complemented
43#17989296—21no—
44#17989294C2211yescharacteristic, complemented
45#17989289C2211yescharacteristic, complemented
46#17989280—21no—
47#17989279C2211yescharacteristic, complemented
48#17989258C2211yescharacteristic
49#17989255C2211yescharacteristic
50Q8×C22⋊D73C2211yescharacteristic, complemented
51#17989247C2211yescharacteristic
52#17989245C2211yescharacteristic
53#17989245C2211yescharacteristic, complemented
54#17989236C2211yescharacteristic, complemented
55#17989229—21no—
56#17989227—21no—
57#17989225C2211yescharacteristic
58D4×D292C2211yescharacteristic
59#17989221—21no—
60D4×C22⋊D73C2211yescharacteristic
61#17989219—21no—
62#17989206C2211yescharacteristic, complemented
63#17989201—21no—
64#17989195C2211yescharacteristic, complemented
65#17989186—21no—
66#17989174—21no—
67#17989170—21no—
68#17989167C2211yescharacteristic
69#17989165C2211yescharacteristic, complemented
70#17989164—21no—
71#17989160C2211yescharacteristic, complemented
72#17989155C2211yescharacteristic
73#17989152—21no—
74#17989097C2211yescharacteristic, complemented
75#17989096C2211yescharacteristic
76#17989095—21no—
77C2×#14556567C2211yescharacteristic, complemented
78C2×#14556564—21no—
79#121×D73C2211yescharacteristic
80#17989066C2211yescharacteristic
81#17988980C2211yescharacteristic, complemented
82#17988977C2211yescharacteristic, complemented
83#17988958C2211yescharacteristic, complemented
84#17988950C2211yescharacteristic, complemented
85#17988946C2211yescharacteristic, complemented
86#17988943C2211yescharacteristic, complemented
87#17988934C2211yescharacteristic, complemented
88#17988927C2211yescharacteristic, complemented
89#17988921C2211yescharacteristic, complemented
90#17988921C2211yescharacteristic, complemented
91#17988920C2211yescharacteristic, complemented
92#17988919C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic, complemented
94#17988913C2211yescharacteristic, complemented
95#17988909C2211yescharacteristic, complemented
96#17988901C2211yescharacteristic, complemented
97#17988901C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988898C2211yescharacteristic, complemented
100#17988897C2211yescharacteristic, complemented
101#17988885C2211yescharacteristic, complemented
102#17988883C2211yescharacteristic, complemented
103#17988867C2211yescharacteristic, complemented
104#17988838C2211yescharacteristic, complemented
105#17988836C2211yescharacteristic, complemented
106#17988836C2211yescharacteristic, complemented
107#17988836C2211yescharacteristic, complemented
108#17988833C2211yescharacteristic, complemented
109#17988833C2211yescharacteristic, complemented
110#17988831C2211yescharacteristic, complemented
111#17988830C2211yescharacteristic, complemented
112#17988830C2211yescharacteristic, complemented
113#17988830C2211yescharacteristic, complemented
114#17988826C2211yescharacteristic, complemented
115#17988825C2211yescharacteristic, complemented
116#17988822C2211yescharacteristic, complemented
117#17988818C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic, complemented
119#17988806C2211yescharacteristic, complemented
120#17988806C2211yescharacteristic, complemented
121#17988804C2211yescharacteristic, complemented
122#17988796C2211yescharacteristic, complemented
123#17988790C2211yescharacteristic, complemented
124#17988788C2211yescharacteristic, complemented
125#17988787C2211yescharacteristic, complemented
126#17988785C2211yescharacteristic, complemented
127#17988780C2211yescharacteristic, complemented
128#17988752C2211yescharacteristic, complemented
129#17988751C2211yescharacteristic, complemented
130#17988751C2211yescharacteristic, complemented
131#17988750C2211yescharacteristic
132#17988749C2211yescharacteristic, complemented
133#17988748C2211yescharacteristic, complemented
134#17988748C2211yescharacteristic, complemented
135#17988747C2211yescharacteristic, complemented
136#17988746C2211yescharacteristic
137#17988746C2211yescharacteristic
138#17988746C2211yescharacteristic, complemented
139#17988741C2211yescharacteristic, complemented
140#17988741C2211yescharacteristic, complemented
141#17988741C2211yescharacteristic, complemented
142#17988739C2211yescharacteristic, complemented
143#17988738C2211yescharacteristic, complemented
144#17988736C2211yescharacteristic, complemented
145#17988736C2211yescharacteristic, complemented
146#17988736C2211yescharacteristic, complemented
147#17988736C2211yescharacteristic, complemented
148#17988736C2211yescharacteristic, complemented
149#17988733C2211yescharacteristic, complemented
150#17988732C2211yescharacteristic, complemented
151#17988731C2211yescharacteristic, complemented
152#17988730C2211yescharacteristic, complemented
153#17988729C2211yescharacteristic
154#17988729C2211yescharacteristic, complemented
155#17988729C2211yescharacteristic, complemented
156#17988727C2211yescharacteristic, complemented
157#17988726C2211yescharacteristic, complemented
158#17988719C2211yescharacteristic, complemented
159#17988719C2211yescharacteristic, complemented
160#17988692C2211yescharacteristic, complemented
161#17988688C2211yescharacteristic, complemented
162#17988687C2211yescharacteristic, complemented
163#17988684C2211yescharacteristic, complemented
164C4×Dic292C2211yescharacteristic, complemented
165#17988679C2211yescharacteristic, complemented
166D8×Dic73C2211yescharacteristic, complemented
167#17988666C2211yescharacteristic, complemented
168#17988663C2211yescharacteristic, complemented
169#17988662C2211yescharacteristic, complemented
170#17988659C2211yescharacteristic, complemented
171#17988657C2211yescharacteristic, complemented
172#17988656C2211yescharacteristic, complemented
173#17988655C2211yescharacteristic, complemented
174#17988647C2211yescharacteristic, complemented
175#17988646C2211yescharacteristic, complemented
176#17988594C2211yescharacteristic, complemented
177#17988590C2211yescharacteristic, complemented
178#17988590C2211yescharacteristic, complemented
179#17988589C2211yescharacteristic, complemented
180#17988589C2211yescharacteristic, complemented
181#17988588C2211yescharacteristic, complemented
182#17988580C2211yescharacteristic, complemented
183C2×#14556512C2211yescharacteristic, complemented
184#17988555C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988550C2211yescharacteristic, complemented
187#17988549C2211yescharacteristic, complemented
188C2×#137×C73C2211yescharacteristic, complemented
189C2×AGL(1,ℤ/8)×C73C2211yescharacteristic, complemented
190#548×C73C2211yescharacteristic, complemented
191#546×C73C2211yescharacteristic
192#495×C73C2211yescharacteristic, complemented
193#470×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#464×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#450×C73C2211yescharacteristic, complemented
199#449×C73C2211yescharacteristic, complemented
200#448×C73C2211yescharacteristic, complemented
201C4×SD16×C73C2211yescharacteristic, complemented
202#436×C73C2211yescharacteristic, complemented
203#14556636—42no—
204#14556636—42no—
205C2×#11924029C2311yescharacteristic
206C2×#11924028—21no—
207C2×#11924028C2311yescharacteristic
208C2×#11924028C2311yescharacteristic
209C2×#11924028C2311yescharacteristic
210C2×#11924027—21no—
211C2×#11924027—21no—
212C2×#11924027C2311yescharacteristic
213C2×#11924027C2311yescharacteristic
214C2×#11924027C2311yescharacteristic
215#41×D73—42no—
216#41×D73—42no—
217C2×Q8×D73C2311yescharacteristic
218C2×Q8×D73C2311yescharacteristic
219C22×D292—21no—
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×D73C2311yescharacteristic
227C2×D4×D73C2311yescharacteristic
228C2×D4×D73C2311yescharacteristic
229C22×C4×D73—21no—
230C22×C4×D73C2311yescharacteristic
231#14556622—42no—
232#14556620—42no—
233#14556620—42no—
234#14556615—42no—
235#14556611—42no—
236C2×Dic292C2311yescharacteristic
237C2×#11924018C2311yescharacteristic
238C2×#11924018C2311yescharacteristic
239C2×#11924018C2311yescharacteristic
240C2×#11924017C2311yescharacteristic
241C2×#11924017C2311yescharacteristic
242C2×#11924016C2311yescharacteristic
243C2×#11924016C2311yescharacteristic
244C2×#11924016C2311yescharacteristic
245C2×#11924015C2311yescharacteristic
246C2×#11924015C2311yescharacteristic
247C2×#11924015C2311yescharacteristic
248C2×#11924015C2311yescharacteristic
249SD16×D73—42no—
250C2×#11924013C2311yescharacteristic
251C2×#11924013C2311yescharacteristic
252C2×#11924012C2311yescharacteristic
253C2×#11924011C2311yescharacteristic
254C2×#11924011C2311yescharacteristic
255C2×#11924011C2311yescharacteristic
256C22×#10596831C2311yescharacteristic
257C2×C8×D73C2311yescharacteristic
258#14556591C2311yescharacteristic
259#14556590—21no—
260#14556589—21no—
261#14556589C2311yescharacteristic
262#14556588C2311yescharacteristic
263#14556587—21no—
264#14556587—21no—
265#14556587C2311yescharacteristic
266#14556586—21no—
267#14556586—21no—
268#14556586—21no—
269#14556586—21no—
270#14556585—21no—
271#14556584—21no—
272#14556584—21no—
273#14556583—21no—
274#14556582—21no—
275#14556582—21no—
276#14556582C2311yescharacteristic
277#14556581—21no—
278#14556580C2311yescharacteristic
279#14556579—21no—
280#14556577—21no—
281#14556577—21no—
282#14556577—21no—
283#14556577—21no—
284#14556577—21no—
285#14556576—21no—
286#14556576D411yescharacteristic
287#14556575—21no—
288#14556575—21no—
289#14556575—21no—
290#14556574—21no—
291#14556574—21no—
292#14556573—21no—
293#14556573—21no—
294#14556573D411yescharacteristic
295#14556572—21no—
296#14556571C2311yescharacteristic
297#14556570—21no—
298#14556570—21no—
299#14556570C2311yescharacteristic
300#14556570C2311yescharacteristic
301#14556569—21no—
302#14556569—21no—
303#14556569D411yescharacteristic
304#14556568—21no—
305#14556568—21no—
306#14556568—21no—
307#14556568—21no—
308#14556568—21no—
309#14556568D411yescharacteristic
310#14556567—21no—
311#14556567—21no—
312#14556567—21no—
313#14556567C2311yescharacteristic
314#14556567C2311yescharacteristic
315#14556567C2311yescharacteristic
316#14556567C2311yescharacteristic
317#14556567C2311yescharacteristic
318#14556567C2311yescharacteristic
319#14556566—21no—
320#14556566C2311yescharacteristic
321#14556566C2311yescharacteristic
322#14556565—21no—
323#14556565—21no—
324#14556565C2311yescharacteristic
325#14556565C2311yescharacteristic
326#14556564—21no—
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#14556564—21no—
337#14556564D411yescharacteristic
338#14556563—21no—
339#14556563—21no—
340#14556563—21no—
341#14556563—21no—
342#14556563—21no—
343#14556563—21no—
344#14556563—21no—
345#14556563—21no—
346#14556563D411yescharacteristic
347#14556562C2311yescharacteristic
348#14556562C2311yescharacteristic
349#14556562C2311yescharacteristic
350#14556561—21no—
351#14556561—21no—
352#14556561—21no—
353#14556561—21no—
354#14556561D411yescharacteristic
355#14556560—21no—
356#14556559—21no—
357#14556559—21no—
358#14556559—21no—
359#14556559D411yescharacteristic
360Q8×Dic73C2311yescharacteristic
361C4×Dic146—21no—
362C4×Dic146C2311yescharacteristic
363C4×Dic146C2311yescharacteristic
364#14556556C2311yescharacteristic
365C4×D292C2311yescharacteristic
366D4×Dic73—21no—
367D4×Dic73—21no—
368D4×Dic73—21no—
369D4×Dic73C2311yescharacteristic
370D4×Dic73C2311yescharacteristic
371#14556553—21no—
372#14556553—21no—
373C4×C22⋊D73—21no—
374C4×C22⋊D73—21no—
375C4×C22⋊D73C2311yescharacteristic
376C4×C22⋊D73C2311yescharacteristic
377#14556551—21no—
378#14556551—21no—
379#14556551—21no—
380#14556551—21no—
381#14556551—21no—
382#14556549C2311yescharacteristic
383#14556549C2311yescharacteristic
384#14556548C2311yescharacteristic
385#14556547—21no—
386#14556547—21no—
387C2×C4⋊Dic73C2311yescharacteristic
388C2×C4⋊Dic73C2311yescharacteristic
389C2×#11924007—21no—
390C2×#11924007—21no—
391C2×#11924007—21no—
392C4⋊C4×D73C2311yescharacteristic
393C2×#11924005—21no—
394C2×#11924005—21no—
395C22⋊C4×D73—21no—
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
444C8×Dic73C2311yescharacteristic
445C2×#41×C73C2311yescharacteristic
446C2×#41×C73C2311yescharacteristic
447C22×Q8×C73C2311yescharacteristic
448C22×D4×C73C2311yescharacteristic
449#137×C73—42no—
450AGL(1,ℤ/8)×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
461C2×M16×C73C2311yescharacteristic
462#124×C73—21no—
463#124×C73C2311yescharacteristic
464#124×C73C2311yescharacteristic
465#123×C73—21no—
466C22⋊Q8×C73—21no—
467C22⋊Q8×C73C2311yescharacteristic
468C22⋊Q8×C73C2311yescharacteristic
469#121×C73—21no—
470#121×C73—21no—
471#121×C73C2311yescharacteristic
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#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
489C4×C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73C2×D411yescharacteristic
494#11924029—41no—
495#11924029—41no—
496#11924028—22no—
497#11924028—22no—
498#11924028—41no—
499#11924028—41no—
500#11924028—41no—
501#11924028—41no—
502#11924028—44no—
503#11924027—22no—
504#11924027—22no—
505#11924027—22no—
506#11924027—41no—
507#11924027—41no—
508#11924027—41no—
509#11924027—44no—
510#11924027—44no—
511C2×Dic146—21no—
512C2×Dic146—21no—
513C2×Dic146—21no—
514C2×Dic146C2×D411yescharacteristic
515C2×Dic146C2411yescharacteristic
516C2×Dic146C2411yescharacteristic
517Q8×D73—22no—
518Q8×D73—41no—
519Q8×D73—41no—
520Q8×D73—41no—
521C2×D292—21no—
522C2×D292—21no—
523C2×D292—21no—
524C2×D292—21no—
525C2×D292—21no—
526C2×D292—82no—
527C2×D292C2×D411yescharacteristic
528C2×D292C2×D411yescharacteristic
529C2×D292C2411yescharacteristic
530C2×D292C2411yescharacteristic
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
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
553D4×D73—22no—
554D4×D73—22no—
555D4×D73—41no—
556D4×D73—41no—
557D4×D73—41no—
558D4×D73—41no—
559D4×D73—44no—
560D4×D73—44no—
561D4×D73—82no—
562C22×Dic73—21no—
563C22×Dic73—21no—
564C22×Dic73—21no—
565C22×Dic73—21no—
566C22×Dic73—21no—
567C22×Dic73—21no—
568C22×Dic73—21no—
569C22×Dic73C2×D411yescharacteristic
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—22no—
585#11924018—22no—
586#11924018—22no—
587#11924018—41no—
588#11924017—41no—
589#11924017—41no—
590#11924016—22no—
591#11924016—22no—
592#11924016—41no—
593#11924015—41no—
594#11924015—41no—
595#11924015—41no—
596#11924015—41no—
597#11924013—41no—
598#11924013—41no—
599#11924012—41no—
600#11924011—41no—
601#11924011—41no—
602#11924011—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⋊Dic73C2×D411yescharacteristic
616C4⋊Dic73C2411yescharacteristic
617C4⋊Dic73C2411yescharacteristic
618C4⋊Dic73C2411yescharacteristic
619C4⋊Dic73C2411yescharacteristic
620#11924007—21no—
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⋊Dic73C2×D411yescharacteristic
647C22⋊Dic73C2×D411yescharacteristic
648#11924005—21no—
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#11924005C2×D411yescharacteristic
664#11924005C2×D411yescharacteristic
665#11924005C2×D411yescharacteristic
666#11924005C2×D411yescharacteristic
667#11924005C2×D411yescharacteristic
668#11924005C2×D411yescharacteristic
669C4×Dic73—21no—
670C4×Dic73—21no—
671C4×Dic73—21no—
672C4×Dic73—21no—
673C4×Dic73—21no—
674C4×Dic73—21no—
675C4×Dic73C2411yescharacteristic
676C24×C73—21no—
677#41×C73—22no—
678#41×C73—41no—
679#41×C73—41no—
680#41×C73—41no—
681C2×Q8×C73—21no—
682C2×Q8×C73—41no—
683C2×Q8×C73—41no—
684C2×Q8×C73C2411yescharacteristic
685C2×Q8×C73C2411yescharacteristic
686C2×Q8×C73C2411yescharacteristic
687C2×D4×C73—22no—
688C2×D4×C73—21no—
689C2×D4×C73—21no—
690C2×D4×C73—21no—
691C2×D4×C73—21no—
692C2×D4×C73—21no—
693C2×D4×C73—41no—
694C2×D4×C73C2×D411yescharacteristic
695C2×D4×C73C2411yescharacteristic
696C2×D4×C73C2411yescharacteristic
697C2×D4×C73C2411yescharacteristic
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—
714M16×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×C73C2×D411yescharacteristic
723C4⋊C4×C73C2411yescharacteristic
724C4⋊C4×C73C2411yescharacteristic
725C22⋊C4×C73—21no—
726C22⋊C4×C73—21no—
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—21no—
741C23×C73—42no—
742C23×C73—81no—
743C23×C73—81no—
744C23×C73C22×D411yescharacteristic
745C23×C73C22×D411yescharacteristic
746C22×D73—21no—
747C22×D73—21no—
748C22×D73—41no—
749C22×D73—41no—
750C22×D73—41no—
751C22×D73—42no—
752C22×D73—42no—
753C22×D73—42no—
754C22×D73—42no—
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—
769Q8×C73—81no—
770D4×C73—21no—
771D4×C73—21no—
772D4×C73—21no—
773D4×C73—21no—
774D4×C73—21no—
775D4×C73—41no—
776D4×C73—42no—
777D4×C73—42no—
778D4×C73—42no—
779D4×C73—81no—
780D4×C73—81no—
781D4×C73H(5,𝔽2)12yes—
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—21no—
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—42no—
806C22⋊D73—42no—
807C22⋊D73—42no—
808C22⋊D73—42no—
809C22⋊D73—42no—
810C22⋊D73—42no—
811C22⋊D73—42no—
812C22⋊D73—81no—
813C22⋊D73—81no—
814C22⋊D73—81no—
815C22⋊D73—81no—
816C22⋊D73—81no—
817C22⋊D73—81no—
818C22⋊D73—81no—
819C2×Dic73—24no—
820C2×Dic73—21no—
821C2×Dic73—21no—
822C2×Dic73—21no—
823C2×Dic73—21no—
824C2×Dic73—21no—
825C2×Dic73—21no—
826C2×Dic73—41no—
827C2×Dic73—42no—
828C2×Dic73—81no—
829C2×Dic73—81no—
830C2×Dic73—81no—
831C2×Dic73—81no—
832C2×Dic73—81no—
833C2×Dic73C22×D411yescharacteristic
834C2×Dic73C22×D411yescharacteristic
835C2×Dic73C22×D411yescharacteristic
836C2×Dic73C22×D411yescharacteristic
837C2×Dic73C22×D411yescharacteristic
838D292—21no—
839D292—21no—
840D292—21no—
841D292—21no—
842D292—41no—
843D292—41no—
844D292—42no—
845D292—42no—
846D292—81no—
847D292—81no—
848D292—81no—
849C4×D73—21no—
850C4×D73—21no—
851C4×D73—21no—
852C4×D73—21no—
853C4×D73—21no—
854C4×D73—21no—
855C4×D73—41no—
856C4×D73—41no—
857C4×D73—42no—
858C4×D73—42no—
859C4×D73—42no—
860C4×D73—42no—
861C4×D73—81no—
862C4×D73—81no—
863Dic146—21no—
864Dic146—21no—
865Dic146—21no—
866Dic146—41no—
867Dic146—42no—
868Dic146—81no—
869Dic146—81no—
870Dic146H(5,𝔽2)12yes—
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—41no—
906C2×D73—41no—
907C2×D73—41no—
908C2×D73—41no—
909C2×D73—41no—
910C2×D73—41no—
911C2×D73—82no—
912C2×D73—84no—
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—22no—
929Dic73—21no—
930Dic73—21no—
931Dic73—21no—
932Dic73—41no—
933Dic73—41no—
934Dic73—41no—
935Dic73—41no—
936Dic73—41no—
937#61654—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—81no—
950D73—81no—
951#3541—731no—
952#3488—731no—
953#3333—731no—
954#3327—731no—
955#3324—731no—
956#3322—731no—
957#3314—731no—
958#3313—731no—
959#3310—731no—
960#3309—731no—
961#3278—731no—
962#3277—731no—
963#3275D7311yescharacteristic, complemented
964#3272—731no—
965#3271—731no—
966#3269—731no—
967#3266—731no—
968#3265—731no—
969#3224—731no—
970#3222—731no—
971#3203—731no—
972#3201—731no—
973#3194—731no—
974#3193—731no—
975#3124—731no—
976#3120—731no—
977#3012—731no—
978#3009—731no—
979#3007—731no—
980#3005—731no—
981#2978—731no—
982C73#6165411yescharacteristic, complemented, Sylow
983C2×H(5,𝔽2)—731no—
984C22×#41—731no—
985C2×#137—731no—
986C2×#137—731no—
987C2×#137—731no—
988C2×#137C2×D7311yescharacteristic, complemented
989C2×AGL(1,ℤ/8)—731no—
990C2×AGL(1,ℤ/8)C2×D7311yescharacteristic, complemented
991C2×#135—731no—
992C22×SD16—731no—
993#563—1461no—
994#562—1461no—
995#556—731no—
996#554—731no—
997#554—1461no—
998#553—731no—
999#553—1461no—
1000#552—731no—
1001#550—731no—
1002#550—731no—
1003D4×Q8—731no—
1004#548—731no—
1005#548—731no—
1006#548—731no—
1007#548C2×D7311yescharacteristic, complemented
1008#547—731no—
1009#546—731no—
1010#546—1461no—
1011#546—1461no—
1012#546C2×D7311yescharacteristic
1013D42—731no—
1014D42—731no—
1015D42—1461no—
1016D42—1461no—
1017#542—731no—
1018#542—1461no—
1019#541—731no—
1020#539—1461no—
1021#538—1461no—
1022#538—1461no—
1023#537—731no—
1024#537—731no—
1025#537—1461no—
1026#536—731no—
1027#535—731no—
1028#535—1461no—
1029#525—731no—
1030#525—731no—
1031#525—1461no—
1032C2×C22⋊Q8—731no—
1033C2×#121—731no—
1034C2×#121—1461no—
1035#520—731no—
1036#497—731no—
1037#496—731no—
1038#495C2×D7311yescharacteristic, complemented
1039#492—731no—
1040#490—731no—
1041#489—731no—
1042#488—731no—
1043#486—731no—
1044#485—731no—
1045#484—731no—
1046#484—731no—
1047#484—731no—
1048#483—731no—
1049#482—731no—
1050#482—731no—
1051#482—731no—
1052#480—731no—
1053#480—731no—
1054#480—731no—
1055#480—731no—
1056#479—731no—
1057#478—731no—
1058#477—731no—
1059#474—731no—
1060#470C2×D7311yescharacteristic, complemented
1061#469—731no—
1062#469C2×D7311yescharacteristic, complemented
1063#468—731no—
1064#468—731no—
1065#468—731no—
1066#468—731no—
1067#468—731no—
1068#468—731no—
1069#468—731no—
1070#468—731no—
1071#468—731no—
1072#467—731no—
1073#467—731no—
1074#466—731no—
1075#465—731no—
1076#464—731no—
1077#464—731no—
1078#464—731no—
1079#464C2×D7311yescharacteristic, complemented
1080#463—731no—
1081#463C2×D7311yescharacteristic, complemented
1082#462—731no—
1083#461—731no—
1084#460—731no—
1085#460—731no—
1086#460—731no—
1087#459—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#452C2×D7311yescharacteristic, complemented
1100#451—731no—
1101#451—731no—
1102#451—731no—
1103#450—731no—
1104#450—731no—
1105#450—731no—
1106#450—731no—
1107#450—731no—
1108#450—731no—
1109#450—731no—
1110#450C2×D7311yescharacteristic, complemented
1111#449—731no—
1112#449—731no—
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#448C2×D7311yescharacteristic, complemented
1122#447—731no—
1123#447—731no—
1124#441—731no—
1125#440—731no—
1126#440—731no—
1127#440—731no—
1128C4×Q16—731no—
1129C4×Q16—731no—
1130C4×SD16C2×D7311yescharacteristic, complemented
1131C4×D8—731no—
1132#436—731no—
1133#436—731no—
1134#436—731no—
1135#436C2×D7311yescharacteristic, complemented
1136#435—731no—
1137#435—731no—
1138#435—731no—
1139#435—731no—
1140#433—731no—
1141#433—731no—
1142#419—731no—
1143#418—731no—
1144#418—731no—
1145#417—731no—
1146#417—731no—
1147#417—731no—
1148#416—731no—
1149C2×#102—731no—
1150#408—731no—
1151#408—731no—
1152#407—731no—
1153#407—731no—
1154H(5,𝔽2)—2922no—
1155H(5,𝔽2)—2922no—
1156C2×#41—2922no—
1157C2×#41—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×#41—1461no—
1168C2×#41C22×D7311yescharacteristic
1169C2×#41C22×D7311yescharacteristic
1170C22×Q8—731no—
1171C22×Q8—731no—
1172C22×Q8C22×D7311yescharacteristic
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×D4C22×D7311yescharacteristic
1184C23×C4—731no—
1185C23×C4—1461no—
1186#137—42no—
1187#137—2922no—
1188#137—2922no—
1189#137—2922no—
1190AGL(1,ℤ/8)—42no—
1191AGL(1,ℤ/8)—2922no—
1192#135—2922no—
1193C2×Q16—731no—
1194C2×Q16—731no—
1195C2×Q16—731no—
1196C2×Q16—731no—
1197C2×Q16C22×D7311yescharacteristic
1198C2×Q16C22×D7311yescharacteristic
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×M16—731no—
1222C2×M16C22×D7311yescharacteristic
1223C2×M16C22×D7311yescharacteristic
1224C22×C8—731no—
1225C22×C8—731no—
1226C4⋊Q8—731no—
1227C4⋊Q8—731no—
1228C4⋊Q8—1461no—
1229C4⋊Q8—1461no—
1230#127—731no—
1231#127—731no—
1232#127—1461no—
1233#127—1461no—
1234#126—1461no—
1235#126—1461no—
1236#126—1461no—
1237#126—1461no—
1238#126—1461no—
1239#126—1461no—
1240#126—1461no—
1241#125—731no—
1242#125—1461no—
1243#125—1461no—
1244#125—1461no—
1245#125—1461no—
1246#124—21no—
1247#124—731no—
1248#124—1461no—
1249#124—1461no—
1250#124—1461no—
1251#124—1461no—
1252#124—1461no—
1253#124—1461no—
1254#124C22×D7311yescharacteristic
1255#124C22×D7311yescharacteristic
1256#123—21no—
1257#123—731no—
1258#123—731no—
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—
1268C22⋊Q8—21no—
1269C22⋊Q8—731no—
1270C22⋊Q8—731no—
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—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⋊Q8—1461no—
1291C22⋊Q8—1461no—
1292C22⋊Q8C22×D7311yescharacteristic
1293C22⋊Q8C22×D7311yescharacteristic
1294#121—21no—
1295#121—21no—
1296#121—731no—
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—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#121—1461no—
1324#121—1461no—
1325#121—1461no—
1326#121—1461no—
1327#121C22×D7311yescharacteristic
1328#121C22×D7311yescharacteristic
1329#120—21no—
1330#120—731no—
1331#120—731no—
1332#120—1461no—
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—731no—
1344C4×Q8—1461no—
1345C4×Q8C22×D7311yescharacteristic
1346C4×D4—21no—
1347C4×D4—731no—
1348C4×D4—731no—
1349C4×D4—731no—
1350C4×D4—731no—
1351C4×D4—731no—
1352C4×D4—1461no—
1353C4×D4—1461no—
1354C4×D4—1461no—
1355C4×D4—1461no—
1356C4×D4—1461no—
1357C4×D4—1461no—
1358C4×D4—1461no—
1359C4×D4—1461no—
1360C4×D4—1461no—
1361C4×D4—1461no—
1362C4×D4—1461no—
1363C4×D4—1461no—
1364C4×D4C22×D7311yescharacteristic
1365C4×D4C22×D7311yescharacteristic
1366#117—731no—
1367#117—731no—
1368#117—731no—
1369#117—1461no—
1370#117—1461no—
1371C2×C4⋊C4—731no—
1372C2×C4⋊C4—731no—
1373C2×C4⋊C4—731no—
1374C2×C4⋊C4—1461no—
1375C2×C4⋊C4—1461no—
1376C2×C4⋊C4—1461no—
1377C2×C22⋊C4—21no—
1378C2×C22⋊C4—1461no—
1379C2×C22⋊C4—1461no—
1380C2×C22⋊C4—1461no—
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—
1439C4×C8—731no—
1440C4×C8C22×D7311yescharacteristic
1441C24—21no—
1442C24—731no—
1443C24—1461no—
1444C24—1461no—
1445C24—1461no—
1446#41—22no—
1447#41—41no—
1448#41—41no—
1449#41—41no—
1450#41—2921no—
1451#41—2921no—
1452#41—2921no—
1453#41—2921no—
1454#41—2924no—
1455#41—2921no—
1456#41—2924no—
1457#41—2924no—
1458#41—2921no—
1459#41—2921no—
1460#41—2921no—
1461#41—2921no—
1462#41—1462no—
1463#41—1462no—
1464#41—1462no—
1465#41—1462no—
1466#41—1462no—
1467C2×Q8—21no—
1468C2×Q8—41no—
1469C2×Q8—41no—
1470C2×Q8—2921no—
1471C2×Q8—2921no—
1472C2×Q8—2921no—
1473C2×Q8—731no—
1474C2×Q8—731no—
1475C2×Q8—731no—
1476C2×Q8—1461no—
1477C2×Q8—1461no—
1478C2×Q8—1462no—
1479C2×Q8—1461no—
1480C2×Q8C23×D7311yescharacteristic
1481C2×Q8C23×D7311yescharacteristic
1482C2×Q8C23×D7311yescharacteristic
1483C2×D4—22no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—41no—
1490C2×D4—2924no—
1491C2×D4—2924no—
1492C2×D4—2924no—
1493C2×D4—2921no—
1494C2×D4—2921no—
1495C2×D4—2921no—
1496C2×D4—2921no—
1497C2×D4—2924no—
1498C2×D4—5842no—
1499C2×D4—5842no—
1500C2×D4—5842no—
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—1461no—
1510C2×D4—1461no—
1511C2×D4—1461no—
1512C2×D4—1461no—
1513C2×D4—1461no—
1514C2×D4—1461no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4—1462no—
1522C2×D4—1462no—
1523C2×D4—1461no—
1524C2×D4—1461no—
1525C2×D4—1461no—
1526C2×D4—1461no—
1527C2×D4—1461no—
1528C2×D4—1461no—
1529C2×D4—1461no—
1530C2×D4—1461no—
1531C2×D4D4×D7311yescharacteristic
1532C2×D4C23×D7311yescharacteristic
1533C2×D4C23×D7311yescharacteristic
1534C2×D4C23×D7311yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—2921no—
1540C22×C4—2921no—
1541C22×C4—2924no—
1542C22×C4—731no—
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—1462no—
1567Q16—1462no—
1568Q16—1462no—
1569SD16—22no—
1570SD16—22no—
1571SD16—41no—
1572SD16—41no—
1573SD16—41no—
1574SD16—2921no—
1575SD16—2921no—
1576SD16—2921no—
1577SD16—2921no—
1578SD16—2921no—
1579SD16—2921no—
1580SD16—2921no—
1581SD16—1462no—
1582SD16—1462no—
1583D8—22no—
1584D8—41no—
1585D8—2921no—
1586D8—2921no—
1587M16—41no—
1588M16—41no—
1589M16—2921no—
1590M16—2921no—
1591M16—2921no—
1592M16—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—731no—
1607C4⋊C4—731no—
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—21no—
1648C22⋊C4—731no—
1649C22⋊C4—731no—
1650C22⋊C4—731no—
1651C22⋊C4—731no—
1652C22⋊C4—731no—
1653C22⋊C4—731no—
1654C22⋊C4—731no—
1655C22⋊C4—731no—
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—21no—
1681C42—731no—
1682C42—1461no—
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—2921no—
1698C23—2921no—
1699C23—2921no—
1700C23—2922no—
1701C23—2922no—
1702C23—5841no—
1703C23—5841no—
1704C23—5841no—
1705C23—5841no—
1706C23—5841no—
1707C23—731no—
1708C23—731no—
1709C23—731no—
1710C23—1461no—
1711C23—1461no—
1712C23C2×D4×D7311yescharacteristic
1713C23C2×D4×D7311yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—81no—
1721Q8—2921no—
1722Q8—2922no—
1723Q8—5841no—
1724Q8—5841no—
1725Q8—732no—
1726Q8—1461no—
1727Q8—1461no—
1728Q8—1461no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—41no—
1735D4—42no—
1736D4—42no—
1737D4—42no—
1738D4—81no—
1739D4—81no—
1740D4—2921no—
1741D4—2921no—
1742D4—2922no—
1743D4—2922no—
1744D4—2922no—
1745D4—2922no—
1746D4—2922no—
1747D4—2922no—
1748D4—2922no—
1749D4—2921no—
1750D4—2921no—
1751D4—2921no—
1752D4—2921no—
1753D4—2922no—
1754D4—2922no—
1755D4—5841no—
1756D4—5841no—
1757D4—5841no—
1758D4—5841no—
1759D4—5841no—
1760D4—5841no—
1761D4—5841no—
1762D4—5841no—
1763D4—5841no—
1764D4—5841no—
1765D4—1464no—
1766D4—1461no—
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—81no—
1782C2×C4—81no—
1783C2×C4—81no—
1784C2×C4—2922no—
1785C2×C4—2922no—
1786C2×C4—2921no—
1787C2×C4—2921no—
1788C2×C4—2922no—
1789C2×C4—2922no—
1790C2×C4—2921no—
1791C2×C4—2922no—
1792C2×C4—5841no—
1793C2×C4—5841no—
1794C2×C4—5841no—
1795C2×C4—5841no—
1796C2×C4—5841no—
1797C2×C4—5841no—
1798C2×C4—5841no—
1799C2×C4—731no—
1800C2×C4—731no—
1801C2×C4—731no—
1802C2×C4—731no—
1803C2×C4—731no—
1804C2×C4—1461no—
1805C2×C4—1461no—
1806C2×C4—1461no—
1807C2×C4—1461no—
1808C2×C4—1461no—
1809C2×C4—1464no—
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—2921no—
1852C22—5842no—
1853C22—5844no—
1854C22—11682no—
1855C22—11682no—
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—1461no—
1881C4—1462no—
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—2921no—
1894C2—2921no—
1895C2—2921no—
1896C2—5841no—
1897C2—5841no—
1898C2#2262355911yescharacteristic
1899C2#2262470911yescharacteristic
1900C2#2262471511yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3275C2
socleC22×C73C23×D4
hypercenter#3275D73
hypocenterC73#61654
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3275

Complements

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

NH ≅ G/Ntype
1. #22624210C2semidirect
2. #22623594C2semidirect
3. #22622270C2semidirect
4. #22622194C2semidirect
5. #22622164C2semidirect
6. #22622125C2semidirect
7. #22622012C2semidirect
8. #22622004C2semidirect
9. #22621956C2semidirect
10. #22621932C2semidirect
11. #22621595C2semidirect
12. #22621586C2semidirect
13. #22621525C2semidirect
14. #22621517C2semidirect
15. #22621490C2semidirect
16. #22621435C2semidirect
17. #22621432C2semidirect
18. #22621018C2semidirect
19. #22621000C2semidirect
20. #22620832C2semidirect
21. #22620814C2semidirect
22. #22620740C2semidirect
23. #22620735C2semidirect
24. #22620190C2semidirect
25. #22620141C2semidirect
26. #22619234C2semidirect
27. #22619203C2semidirect
28. #22619187C2semidirect
29. #22619169C2semidirect
30. #22618988C2semidirect
31. C73×#3275C2semidirect
34. C2×#14556622C22semidirect
35. C2×#14556620C22semidirect
36. C2×#14556620C22semidirect
37. C2×#14556615C22semidirect
38. C2×#14556611C22semidirect
39. C2×SD16×D73C22semidirect
42. #17989310C22semidirect
44. #17989294C22semidirect
45. #17989289C22semidirect
47. #17989279C22semidirect
50. Q8×C22⋊D73C22semidirect
53. #17989245C22semidirect
54. #17989236C22semidirect
62. #17989206C22semidirect
64. #17989195C22semidirect
69. #17989165C22semidirect
71. #17989160C22semidirect
74. #17989097C22semidirect
77. C2×#14556567C22semidirect
81. #17988980C22semidirect
82. #17988977C22semidirect
83. #17988958C22semidirect
84. #17988950C22semidirect
85. #17988946C22semidirect
86. #17988943C22semidirect
87. #17988934C22semidirect
88. #17988927C22semidirect
89. #17988921C22semidirect
90. #17988921C22semidirect
91. #17988920C22semidirect
92. #17988919C22semidirect
93. #17988913C22semidirect
94. #17988913C22semidirect
95. #17988909C22semidirect
96. #17988901C22semidirect
97. #17988901C22semidirect
98. #17988899C22semidirect
99. #17988898C22semidirect
100. #17988897C22semidirect
101. #17988885C22semidirect
102. #17988883C22semidirect
103. #17988867C22semidirect
104. #17988838C22semidirect
105. #17988836C22semidirect
106. #17988836C22semidirect
107. #17988836C22semidirect
108. #17988833C22semidirect
109. #17988833C22semidirect
110. #17988831C22semidirect
111. #17988830C22semidirect
112. #17988830C22semidirect
113. #17988830C22semidirect
114. #17988826C22semidirect
115. #17988825C22semidirect
116. #17988822C22semidirect
117. #17988818C22semidirect
118. #17988811C22semidirect
119. #17988806C22semidirect
120. #17988806C22semidirect
121. #17988804C22semidirect
122. #17988796C22semidirect
123. #17988790C22semidirect
124. #17988788C22semidirect
125. #17988787C22semidirect
126. #17988785C22semidirect
127. #17988780C22semidirect
128. #17988752C22semidirect
129. #17988751C22semidirect
130. #17988751C22semidirect
132. #17988749C22semidirect
133. #17988748C22semidirect
134. #17988748C22semidirect
135. #17988747C22semidirect
138. #17988746C22semidirect
139. #17988741C22semidirect
140. #17988741C22semidirect
141. #17988741C22semidirect
142. #17988739C22semidirect
143. #17988738C22semidirect
144. #17988736C22semidirect
145. #17988736C22semidirect
146. #17988736C22semidirect
147. #17988736C22semidirect
148. #17988736C22semidirect
149. #17988733C22semidirect
150. #17988732C22semidirect
151. #17988731C22semidirect
152. #17988730C22semidirect
154. #17988729C22semidirect
155. #17988729C22semidirect
156. #17988727C22semidirect
157. #17988726C22semidirect
158. #17988719C22semidirect
159. #17988719C22semidirect
160. #17988692C22semidirect
161. #17988688C22semidirect
162. #17988687C22semidirect
163. #17988684C22semidirect
164. C4×Dic292C22semidirect
165. #17988679C22semidirect
166. D8×Dic73C22semidirect
167. #17988666C22semidirect
168. #17988663C22semidirect
169. #17988662C22semidirect
170. #17988659C22semidirect
171. #17988657C22semidirect
172. #17988656C22semidirect
173. #17988655C22semidirect
174. #17988647C22semidirect
175. #17988646C22semidirect
176. #17988594C22semidirect
177. #17988590C22semidirect
178. #17988590C22semidirect
179. #17988589C22semidirect
180. #17988589C22semidirect
181. #17988588C22semidirect
182. #17988580C22semidirect
183. C2×#14556512C22semidirect
184. #17988555C22semidirect
185. #17988552C22semidirect
186. #17988550C22semidirect
187. #17988549C22semidirect
188. C2×#137×C73C22semidirect
189. C2×AGL(1,ℤ/8)×C73C22semidirect
190. #548×C73C22semidirect
192. #495×C73C22semidirect
193. #470×C73C22semidirect
194. #469×C73C22semidirect
195. #464×C73C22semidirect
196. #463×C73C22semidirect
197. #452×C73C22semidirect
198. #450×C73C22semidirect
199. #449×C73C22semidirect
200. #448×C73C22semidirect
201. C4×SD16×C73C22semidirect
202. #436×C73C22semidirect
963. #3275D73semidirect
982. C73#61654semidirect
988. C2×#137C2×D73semidirect
990. C2×AGL(1,ℤ/8)C2×D73semidirect
1007. #548C2×D73semidirect
1038. #495C2×D73semidirect
1060. #470C2×D73semidirect
1062. #469C2×D73semidirect
1079. #464C2×D73semidirect
1081. #463C2×D73semidirect
1099. #452C2×D73semidirect
1110. #450C2×D73semidirect
1118. #449C2×D73semidirect
1121. #448C2×D73semidirect
1130. C4×SD16C2×D73semidirect
1135. #436C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242102
#226235942
#226222702
#226221942
#226221642
#226221252
#226220122
#226220042
#226219562
#226219322
#226215952
#226215862
#226215252
#226215172
#226214902
#226214352
#226214322
#226210182
#226210002
#226208322
#226208142
#226207402
#226207352
#226201902
#226201412
#226192342
#226192032
#226191872
#226191692
#226189882
C73×#32752
#6165473