Finite Group Databasebeta

← #33969112

Subgroups — #33969112

Order 18688.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624032C211yesmaximal, characteristic, complemented
2#22623953C211yesmaximal, characteristic, complemented
3#22622974C211yesmaximal, characteristic, complemented
4#22622877C211yesmaximal, characteristic, complemented
5#22622680C211yesmaximal, characteristic, complemented
6#22622658C211yesmaximal, characteristic, complemented
7#22622487C211yesmaximal, characteristic, complemented
8#22622436C211yesmaximal, characteristic, complemented
9#22622432C211yesmaximal, characteristic, complemented
10#22622189C211yesmaximal, characteristic, complemented
11#22622175C211yesmaximal, characteristic, complemented
12#22622113C211yesmaximal, characteristic, complemented
13#22622068C211yesmaximal, characteristic, complemented
14#22621948C211yesmaximal, characteristic, complemented
15#22621933C211yesmaximal, characteristic, complemented
16#22621545C211yesmaximal, characteristic, complemented
17#22621428C211yesmaximal, characteristic, complemented
18#22621420C211yesmaximal, characteristic, complemented
19#22620614C211yesmaximal, characteristic, complemented
20#22620577C211yesmaximal, characteristic, complemented
21#22620524C211yesmaximal, characteristic, complemented
22#22620221C211yesmaximal, characteristic, complemented
23#22620173C211yesmaximal, characteristic, complemented
24#22620130C211yesmaximal, characteristic, complemented
25#22620115C211yesmaximal, characteristic, complemented
26#22620080C211yesmaximal, characteristic, complemented
27#22620067C211yesmaximal, characteristic, complemented
28#22618912C211yesmaximal, characteristic, complemented
29#22618785C211yesmaximal, characteristic, complemented
30C4×#14556618C211yesmaximal, characteristic, complemented
31C73×#2946C211yesmaximal, characteristic, complemented
32C2×#14556618C2211yescharacteristic
33C2×SD16×D73C2211yescharacteristic
34#17989320—21no—
35#17989320C2211yescharacteristic, complemented
36#17989316C2211yescharacteristic, complemented
37#17989302—21no—
38#17989302C2211yescharacteristic, complemented
39#17989300C2211yescharacteristic
40#17989296C2211yescharacteristic
41#17989287C2211yescharacteristic
42#17989286—21no—
43#17989285—21no—
44#17989285C2211yescharacteristic, complemented
45#17989281C2211yescharacteristic
46#17989272—21no—
47#17989272C2211yescharacteristic, complemented
48#17989258C2211yescharacteristic
49#17989256C2211yescharacteristic, complemented
50#17989249C2211yescharacteristic, complemented
51#17989244C2211yescharacteristic, complemented
52#17989233—21no—
53#17989227—21no—
54#17989227—21no—
55D4×D292C2211yescharacteristic
56D4×C22⋊D73C2211yescharacteristic
57D4×C22⋊D73C2211yescharacteristic
58#17989208—21no—
59#17989208C2211yescharacteristic, complemented
60#17989192C2211yescharacteristic
61#17989188—21no—
62#17989188C2211yescharacteristic
63#17989188C2211yescharacteristic, complemented
64#17989175—21no—
65#17989170—21no—
66#17989134C2211yescharacteristic
67#17989119—21no—
68#17989119C2211yescharacteristic, complemented
69#17989115—21no—
70#17989115C2211yescharacteristic
71#17989096—21no—
72C2×#14556564—21no—
73#17989063C2211yescharacteristic, complemented
74#17989059C2211yescharacteristic
75C4×#11924029C2211yescharacteristic, complemented
76C4×D4×D73C2211yescharacteristic
77#17988996C2211yescharacteristic, complemented
78#17988995C2211yescharacteristic, complemented
79#17988988C2211yescharacteristic, complemented
80#17988976C2211yescharacteristic, complemented
81#17988975C2211yescharacteristic, complemented
82#17988962C2211yescharacteristic, complemented
83#17988950C2211yescharacteristic, complemented
84#17988950C2211yescharacteristic, complemented
85#17988950C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988942C2211yescharacteristic, complemented
88#17988934C2211yescharacteristic, complemented
89#17988928C2211yescharacteristic, complemented
90#17988919C2211yescharacteristic, complemented
91#17988914C2211yescharacteristic, complemented
92#17988914C2211yescharacteristic, complemented
93#17988913C2211yescharacteristic, complemented
94#17988911C2211yescharacteristic, complemented
95#17988910C2211yescharacteristic, complemented
96#17988910C2211yescharacteristic, complemented
97#17988909C2211yescharacteristic, complemented
98#17988905C2211yescharacteristic, complemented
99#17988900C2211yescharacteristic, complemented
100#17988899C2211yescharacteristic, complemented
101#17988896C2211yescharacteristic, complemented
102#17988894C2211yescharacteristic, complemented
103#17988893C2211yescharacteristic, complemented
104#17988889C2211yescharacteristic
105#17988887C2211yescharacteristic, complemented
106#17988886C2211yescharacteristic, complemented
107#17988886C2211yescharacteristic, complemented
108#17988885C2211yescharacteristic
109#17988877C2211yescharacteristic
110#17988870C2211yescharacteristic, complemented
111#17988867C2211yescharacteristic, complemented
112#17988866C2211yescharacteristic, complemented
113#17988840C2211yescharacteristic, complemented
114#17988839C2211yescharacteristic, complemented
115#17988839C2211yescharacteristic, complemented
116#17988839C2211yescharacteristic, complemented
117#17988837C2211yescharacteristic, complemented
118#17988834C2211yescharacteristic, complemented
119#17988833C2211yescharacteristic, complemented
120#17988832C2211yescharacteristic, complemented
121#17988824C2211yescharacteristic, complemented
122#17988823C2211yescharacteristic, complemented
123#17988820C2211yescharacteristic, complemented
124#17988816C2211yescharacteristic, complemented
125#17988802C2211yescharacteristic
126#17988802C2211yescharacteristic, complemented
127#17988801C2211yescharacteristic, complemented
128#17988800C2211yescharacteristic
129#17988787C2211yescharacteristic, complemented
130#17988786C2211yescharacteristic, complemented
131#17988785C2211yescharacteristic, complemented
132#17988785C2211yescharacteristic, complemented
133#17988782C2211yescharacteristic, complemented
134#17988781C2211yescharacteristic, complemented
135#17988781C2211yescharacteristic, complemented
136#17988780C2211yescharacteristic
137#17988739C2211yescharacteristic
138#17988738C2211yescharacteristic
139#17988735C2211yescharacteristic, complemented
140#17988732C2211yescharacteristic, complemented
141#17988732C2211yescharacteristic, complemented
142#17988731C2211yescharacteristic, complemented
143#17988727C2211yescharacteristic, complemented
144#17988724C2211yescharacteristic, complemented
145#17988722C2211yescharacteristic
146#17988721C2211yescharacteristic
147#17988719C2211yescharacteristic
148#17988719C2211yescharacteristic
149#17988717C2211yescharacteristic, complemented
150#17988715C2211yescharacteristic, complemented
151#17988700C2211yescharacteristic, complemented
152#17988698C2211yescharacteristic, complemented
153#17988697C2211yescharacteristic, complemented
154#17988697C2211yescharacteristic, complemented
155#17988696C2211yescharacteristic
156#17988690C2211yescharacteristic, complemented
157#17988690C2211yescharacteristic, complemented
158#17988689C2211yescharacteristic, complemented
159#17988688C2211yescharacteristic
160#17988687C2211yescharacteristic
161#17988685C2211yescharacteristic, complemented
162#17988684C2211yescharacteristic
163C4×#11924017C2211yescharacteristic, complemented
164SD16×Dic73C2211yescharacteristic
165C4×#11924015C2211yescharacteristic, complemented
166#17988674C2211yescharacteristic, complemented
167C4×#11924016C2211yescharacteristic, complemented
168C4×D584C2211yescharacteristic, complemented
169C4×#11924013C2211yescharacteristic
170C4×#11924013C2211yescharacteristic, complemented
171#17988666C2211yescharacteristic, complemented
172#17988663C2211yescharacteristic, complemented
173#17988660C2211yescharacteristic, complemented
174#17988658C2211yescharacteristic, complemented
175#17988658C2211yescharacteristic, complemented
176#17988656C2211yescharacteristic, complemented
177#17988649C2211yescharacteristic, complemented
178#17988648C2211yescharacteristic, complemented
179#17988642C2211yescharacteristic, complemented
180#17988626C2211yescharacteristic, complemented
181#17988622C2211yescharacteristic, complemented
182#17988594C2211yescharacteristic, complemented
183#17988590C2211yescharacteristic
184#17988590C2211yescharacteristic
185#17988587C2211yescharacteristic, complemented
186#17988541C2211yescharacteristic, complemented
187C4×#11924011C2211yescharacteristic, complemented
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
189#520×C73C2211yescharacteristic, complemented
190#518×C73C2211yescharacteristic
191#442×C73C2211yescharacteristic
192#442×C73C2211yescharacteristic, complemented
193#440×C73C2211yescharacteristic
194#440×C73C2211yescharacteristic, complemented
195C4×SD16×C73C2211yescharacteristic
196C4×SD16×C73C2211yescharacteristic, complemented
197C4×D8×C73C2211yescharacteristic
198C4×D8×C73C2211yescharacteristic, complemented
199#428×C73C2211yescharacteristic, complemented
200#416×C73C2211yescharacteristic, complemented
201C2×#102×C73C2211yescharacteristic
202#405×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×Q8×D73C2311yescharacteristic
207C22×D292—21no—
208C22×C22⋊D73—21no—
209C22×C22⋊D73—21no—
210C2×D4×D73C2311yescharacteristic
211C2×D4×D73C2311yescharacteristic
212C22×C4×D73—21no—
213#14556618—24no—
214C2×#11924017C2311yescharacteristic
215C2×#11924017C2311yescharacteristic
216C2×#11924016C2311yescharacteristic
217C2×#11924016C2311yescharacteristic
218C2×#11924015C2311yescharacteristic
219C2×#11924015C2311yescharacteristic
220SD16×D73—24no—
221C2×D584C2311yescharacteristic
222C2×D584C2311yescharacteristic
223C2×#11924013C2311yescharacteristic
224C2×#11924013C2311yescharacteristic
225C2×#11924013C2311yescharacteristic
226C2×#11924013C2311yescharacteristic
227C2×#11924011C2311yescharacteristic
228C2×#11924011C2311yescharacteristic
229C2×#11924011C2311yescharacteristic
230C2×C8×D73C2311yescharacteristic
231#14556591—21no—
232#14556591C2311yescharacteristic
233#14556590C2311yescharacteristic
234#14556588C2311yescharacteristic
235#14556587—21no—
236#14556587C2311yescharacteristic
237#14556587C2311yescharacteristic
238#14556587C2311yescharacteristic
239#14556586—21no—
240#14556586—21no—
241#14556586—21no—
242#14556586D411yescharacteristic
243#14556585—21no—
244#14556584—21no—
245#14556584—21no—
246#14556584D411yescharacteristic
247#14556583C2311yescharacteristic
248#14556582—21no—
249#14556582—21no—
250#14556582C2311yescharacteristic
251#14556582C2311yescharacteristic
252#14556582C2311yescharacteristic
253#14556581—21no—
254#14556581D411yescharacteristic
255#14556579—21no—
256#14556579—21no—
257#14556579C2311yescharacteristic
258#14556578—21no—
259#14556578C2311yescharacteristic
260#14556577—21no—
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556577—21no—
266#14556577D411yescharacteristic
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556576D411yescharacteristic
271#14556574—21no—
272#14556574—21no—
273#14556574—21no—
274#14556574—21no—
275#14556574—21no—
276#14556573—21no—
277#14556573—21no—
278#14556573—21no—
279#14556573—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573D411yescharacteristic
283#14556571—21no—
284#14556571C2311yescharacteristic
285#14556570—21no—
286#14556570—21no—
287#14556570C2311yescharacteristic
288#14556569—21no—
289#14556569D411yescharacteristic
290#14556568—21no—
291#14556568—21no—
292#14556566—21no—
293#14556566C2311yescharacteristic
294#14556566C2311yescharacteristic
295#14556566C2311yescharacteristic
296#14556565—21no—
297#14556565—21no—
298#14556565—21no—
299#14556565—21no—
300#14556565—21no—
301#14556565—21no—
302#14556565—21no—
303#14556565C2311yescharacteristic
304#14556565C2311yescharacteristic
305#14556565C2311yescharacteristic
306#14556564—21no—
307#14556564—21no—
308#14556564—21no—
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556564—21no—
316#14556564D411yescharacteristic
317#14556563—21no—
318#14556563—21no—
319#14556562—21no—
320#14556562—21no—
321#14556562C2311yescharacteristic
322#14556562C2311yescharacteristic
323#14556562C2311yescharacteristic
324#14556562C2311yescharacteristic
325#14556561—21no—
326#14556561—21no—
327#14556560—21no—
328#14556560—21no—
329#14556559—21no—
330#14556559—21no—
331Q8×Dic73C2311yescharacteristic
332Q8×Dic73C2311yescharacteristic
333C4×Dic146—21no—
334C4×Dic146—21no—
335C4×Dic146C2311yescharacteristic
336C4×Dic146C2311yescharacteristic
337#14556556—21no—
338#14556556C2311yescharacteristic
339C4×D292—21no—
340C4×D292—21no—
341C4×D292—21no—
342C4×D292C2311yescharacteristic
343C4×D292C2311yescharacteristic
344C4×D292C2311yescharacteristic
345C4×D292C2311yescharacteristic
346D4×Dic73C2311yescharacteristic
347D4×Dic73C2311yescharacteristic
348#14556553—21no—
349#14556553C2311yescharacteristic
350#14556553C2311yescharacteristic
351#14556553C2311yescharacteristic
352C4×C22⋊D73—21no—
353C4×C22⋊D73—21no—
354C4×C22⋊D73—21no—
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73C2311yescharacteristic
362C4×C22⋊D73C2311yescharacteristic
363#14556551—21no—
364#14556551—21no—
365#14556550—21no—
366#14556550—21no—
367#14556550—21no—
368#14556549—21no—
369#14556549—21no—
370#14556549C2311yescharacteristic
371#14556549C2311yescharacteristic
372#14556549C2311yescharacteristic
373#14556548—21no—
374#14556548—21no—
375#14556548C2311yescharacteristic
376C2×#11924007—21no—
377C4⋊C4×D73C2311yescharacteristic
378C2×#11924005—21no—
379C22⋊C4×D73—21no—
380C22⋊C4×D73—21no—
381C42×D73—21no—
382C42×D73C2311yescharacteristic
383#14556525C2311yescharacteristic
384#14556525C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556524C2311yescharacteristic
387#14556524C2311yescharacteristic
388#14556524C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396C4⋊#10596831C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556512C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425C22⋊#10596831C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556503C2311yescharacteristic
431#14556502C2311yescharacteristic
432#14556501C2311yescharacteristic
433#14556501C2311yescharacteristic
434#14556501C2311yescharacteristic
435C4×#10596831C2311yescharacteristic
436C8×Dic73C2311yescharacteristic
437C2×#41×C73C2311yescharacteristic
438C22×D4×C73C2311yescharacteristic
439AGL(1,ℤ/8)×C73—24no—
440C2×SD16×C73C2311yescharacteristic
441C2×SD16×C73C2311yescharacteristic
442C2×D8×C73C2311yescharacteristic
443C2×D8×C73C2311yescharacteristic
444C2×M16×C73C2311yescharacteristic
445C22×C8×C73C2311yescharacteristic
446C4×Q8×C73C2311yescharacteristic
447C4×Q8×C73C2311yescharacteristic
448C4×D4×C73—21no—
449C4×D4×C73—21no—
450C4×D4×C73—21no—
451C4×D4×C73—21no—
452C4×D4×C73C2311yescharacteristic
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C4×D4×C73C2311yescharacteristic
457C4×D4×C73C2311yescharacteristic
458#117×C73—21no—
459#117×C73C2311yescharacteristic
460#117×C73C2311yescharacteristic
461C2×C4⋊C4×C73—21no—
462C2×C4⋊C4×C73C2311yescharacteristic
463C2×C22⋊C4×C73—21no—
464C2×C22⋊C4×C73—21no—
465#107×C73C2311yescharacteristic
466#107×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478#97×C73C2311yescharacteristic
479C4×C8×C73C2311yescharacteristic
480C4×C8×C73C2311yescharacteristic
481C23×D73—21no—
482C23×D73—21no—
483#11924029—22no—
484#11924029—41no—
485#11924028—82no—
486#11924028—82no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146C2×D411yescharacteristic
491C2×Dic146C2411yescharacteristic
492Q8×D73—22no—
493Q8×D73—41no—
494C2×D292—21no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—82no—
501C2×D292C2×D411yescharacteristic
502C2×D292C2411yescharacteristic
503C2×D292C2411yescharacteristic
504C2×D292C2411yescharacteristic
505C2×C22⋊D73—21no—
506C2×C22⋊D73—21no—
507C2×C22⋊D73—21no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73—21no—
513C2×C22⋊D73—21no—
514C2×C22⋊D73—21no—
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—82no—
521C2×C22⋊D73—82no—
522C2×C22⋊D73C2×D411yescharacteristic
523C2×C22⋊D73C2×D411yescharacteristic
524D4×D73—22no—
525D4×D73—22no—
526D4×D73—41no—
527D4×D73—41no—
528C22×Dic73—21no—
529C22×Dic73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—21no—
533C2×C4×D73—21no—
534C2×C4×D73—21no—
535C2×C4×D73—21no—
536C2×C4×D73—21no—
537C2×C4×D73—21no—
538C2×C4×D73—21no—
539C2×C4×D73—82no—
540C2×C4×D73C2×D411yescharacteristic
541C2×C4×D73C2×D411yescharacteristic
542C2×C4×D73C2411yescharacteristic
543C2×C4×D73C2411yescharacteristic
544#11924017—22no—
545#11924017—41no—
546#11924016—22no—
547#11924016—41no—
548#11924015—22no—
549#11924015—22no—
550D584—22no—
551D584—41no—
552#11924013—22no—
553#11924013—41no—
554#11924013—41no—
555#11924013—41no—
556#11924011—22no—
557#11924011—41no—
558#11924011—41no—
559C2×#10596831C2411yescharacteristic
560C2×#10596831C2411yescharacteristic
561C2×#10596831C2411yescharacteristic
562C2×#10596831C2411yescharacteristic
563C8×D73—22no—
564C4⋊Dic73—21no—
565C4⋊Dic73—21no—
566C4⋊Dic73—21no—
567C4⋊Dic73—21no—
568C4⋊Dic73—21no—
569C4⋊Dic73—21no—
570C4⋊Dic73—21no—
571C4⋊Dic73C2×D411yescharacteristic
572C4⋊Dic73C2×D411yescharacteristic
573C4⋊Dic73C2411yescharacteristic
574C4⋊Dic73C2411yescharacteristic
575C4⋊Dic73C2411yescharacteristic
576C4⋊Dic73C2411yescharacteristic
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007C2×D411yescharacteristic
588#11924007C2×D411yescharacteristic
589#11924007C2×D411yescharacteristic
590#11924007C2×D411yescharacteristic
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593C22⋊Dic73—21no—
594C22⋊Dic73—21no—
595C22⋊Dic73—21no—
596C22⋊Dic73—21no—
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73C2×D411yescharacteristic
603C22⋊Dic73C2×D411yescharacteristic
604#11924005—21no—
605#11924005—21no—
606#11924005—21no—
607#11924005—21no—
608#11924005—21no—
609#11924005—21no—
610#11924005—21no—
611#11924005—21no—
612#11924005—21no—
613#11924005—21no—
614#11924005—21no—
615#11924005—21no—
616#11924005—21no—
617#11924005—21no—
618#11924005—21no—
619#11924005—21no—
620#11924005—21no—
621#11924005—21no—
622#11924005C2×D411yescharacteristic
623#11924005C2×D411yescharacteristic
624#11924005C2×D411yescharacteristic
625#11924005C2×D411yescharacteristic
626#11924005C2×D411yescharacteristic
627#11924005C2×D411yescharacteristic
628C4×Dic73—21no—
629C4×Dic73—21no—
630C4×Dic73—21no—
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73C2×D411yescharacteristic
636C4×Dic73C2×D411yescharacteristic
637C4×Dic73C2411yescharacteristic
638C4×Dic73C2411yescharacteristic
639C24×C73—21no—
640#41×C73—22no—
641#41×C73—41no—
642C2×Q8×C73C2411yescharacteristic
643C2×D4×C73—22no—
644C2×D4×C73—21no—
645C2×D4×C73—21no—
646C2×D4×C73—41no—
647C2×D4×C73C2411yescharacteristic
648C2×D4×C73C2411yescharacteristic
649C2×D4×C73C2411yescharacteristic
650C22×C4×C73—21no—
651C22×C4×C73—21no—
652C22×C4×C73—21no—
653C22×C4×C73—21no—
654C22×C4×C73—21no—
655C22×C4×C73—21no—
656C22×C4×C73—21no—
657C22×C4×C73—21no—
658C22×C4×C73C2411yescharacteristic
659SD16×C73—22no—
660SD16×C73#4114yescomplemented
661D8×C73—22no—
662D8×C73—22no—
663M16×C73—22no—
664C2×C8×C73—41no—
665C2×C8×C73C2411yescharacteristic
666C2×C8×C73C2411yescharacteristic
667C2×C8×C73C2411yescharacteristic
668C2×C8×C73C2411yescharacteristic
669C4⋊C4×C73—21no—
670C4⋊C4×C73—21no—
671C4⋊C4×C73—21no—
672C4⋊C4×C73C2×D411yescharacteristic
673C4⋊C4×C73C2×D411yescharacteristic
674C4⋊C4×C73C2411yescharacteristic
675C4⋊C4×C73C2411yescharacteristic
676C4⋊C4×C73C2411yescharacteristic
677C4⋊C4×C73C2411yescharacteristic
678C22⋊C4×C73—21no—
679C22⋊C4×C73—21no—
680C22⋊C4×C73—21no—
681C22⋊C4×C73—21no—
682C22⋊C4×C73—21no—
683C22⋊C4×C73—21no—
684C22⋊C4×C73—21no—
685C22⋊C4×C73C2×D411yescharacteristic
686C22⋊C4×C73C2×D411yescharacteristic
687C42×C73—21no—
688C42×C73—21no—
689C42×C73—21no—
690C42×C73C2411yescharacteristic
691C42×C73C2411yescharacteristic
692C23×C73—21no—
693C23×C73—21no—
694C23×C73—21no—
695C23×C73—42no—
696C23×C73—81no—
697C23×C73—81no—
698C23×C73C22×D411yescharacteristic
699C22×D73—21no—
700C22×D73—21no—
701C22×D73—21no—
702C22×D73—42no—
703C22×D73—42no—
704C22×D73—42no—
705C22×D73—81no—
706C22×D73—81no—
707C22×D73—81no—
708C22×D73C22×D411yescharacteristic
709C22×D73C22×D411yescharacteristic
710Q8×C73—21no—
711Q8×C73C2×#4112yes—
712D4×C73—21no—
713D4×C73—21no—
714D4×C73—21no—
715D4×C73—21no—
716D4×C73—21no—
717D4×C73—42no—
718D4×C73—42no—
719D4×C73C2×#4112yes—
720C2×C4×C73—21no—
721C2×C4×C73—21no—
722C2×C4×C73—21no—
723C2×C4×C73—21no—
724C2×C4×C73—21no—
725C2×C4×C73—21no—
726C2×C4×C73—21no—
727C2×C4×C73—42no—
728C2×C4×C73—81no—
729C2×C4×C73—81no—
730C2×C4×C73—81no—
731C2×C4×C73—81no—
732C2×C4×C73—81no—
733C2×C4×C73—81no—
734C2×C4×C73—81no—
735C2×C4×C73C22×D411yescharacteristic
736C2×C4×C73C22×D411yescharacteristic
737C2×C4×C73C22×D411yescharacteristic
738C2×C4×C73C22×D411yescharacteristic
739C2×C4×C73C22×D411yescharacteristic
740C2×C4×C73C2511yescharacteristic
741C22⋊D73—41no—
742C22⋊D73—41no—
743C22⋊D73—42no—
744C22⋊D73—42no—
745C22⋊D73—42no—
746C22⋊D73—42no—
747C22⋊D73—81no—
748C22⋊D73—81no—
749C22⋊D73—81no—
750C22⋊D73—81no—
751C22⋊D73—81no—
752C22⋊D73—81no—
753C22⋊D73—81no—
754C22⋊D73—81no—
755C22⋊D73—81no—
756C22⋊D73—81no—
757C22⋊D73—81no—
758C2×Dic73—21no—
759C2×Dic73—21no—
760C2×Dic73—21no—
761C2×Dic73—21no—
762C2×Dic73—21no—
763C2×Dic73—42no—
764C2×Dic73—81no—
765C2×Dic73C22×D411yescharacteristic
766C2×Dic73C22×D411yescharacteristic
767C2×Dic73C22×D411yescharacteristic
768C2×Dic73C22×D411yescharacteristic
769C2×Dic73C22×D411yescharacteristic
770C2×Dic73C22×D411yescharacteristic
771D292—21no—
772D292—21no—
773D292—21no—
774D292—21no—
775D292—21no—
776D292—21no—
777D292—41no—
778D292—42no—
779D292—42no—
780D292—81no—
781D292—81no—
782D292—81no—
783D292—81no—
784C4×D73—21no—
785C4×D73—21no—
786C4×D73—21no—
787C4×D73—21no—
788C4×D73—41no—
789C4×D73—41no—
790C4×D73—42no—
791C4×D73—42no—
792C4×D73—42no—
793C4×D73—81no—
794C4×D73—81no—
795C4×D73—81no—
796C4×D73—81no—
797C4×D73—81no—
798C4×D73—81no—
799Dic146—21no—
800Dic146—21no—
801Dic146—41no—
802Dic146—42no—
803Dic146—81no—
804Dic146—81no—
805C8×C73—21no—
806C8×C73—21no—
807C8×C73—21no—
808C8×C73C2×#4112yes—
809#10596831—21no—
810#10596831—21no—
811#10596831—21no—
812#10596831—21no—
813C22×C73—21no—
814C22×C73—21no—
815C22×C73—22no—
816C22×C73—21no—
817C22×C73—41no—
818C22×C73—41no—
819C22×C73—41no—
820C22×C73—41no—
821C22×C73—41no—
822C22×C73—41no—
823C22×C73—41no—
824C22×C73—41no—
825C22×C73—162no—
826C22×C73C23×D411yescharacteristic
827C2×D73—21no—
828C2×D73—21no—
829C2×D73—21no—
830C2×D73—21no—
831C2×D73—21no—
832C2×D73—21no—
833C2×D73—41no—
834C2×D73—41no—
835C2×D73—41no—
836C2×D73—41no—
837C2×D73—41no—
838C2×D73—41no—
839C2×D73—41no—
840C2×D73—41no—
841C2×D73—41no—
842C2×D73—84no—
843C2×D73—162no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—21no—
847C4×C73—21no—
848C4×C73—22no—
849C4×C73—21no—
850C4×C73—41no—
851C4×C73—41no—
852C4×C73—41no—
853C4×C73—41no—
854C4×C73C22×#4111yescharacteristic
855C4×C73#58511yescharacteristic
856Dic73—21no—
857Dic73—21no—
858Dic73—21no—
859Dic73—21no—
860Dic73—21no—
861Dic73—21no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73—41no—
867#61504—731nomaximal, Sylow
868C2×C73—42no—
869C2×C73—41no—
870C2×C73—81no—
871C2×C73—81no—
872C2×C73D4×#4111yescharacteristic
873C2×C73#358511yescharacteristic
874C2×C73#358511yescharacteristic
875D73—41no—
876D73—41no—
877D73—81no—
878D73—81no—
879D73—81no—
880#3524—731no—
881#3519—731no—
882#3399—731no—
883#3388—731no—
884#3370—731no—
885#3368—731no—
886#3351—731no—
887#3347—731no—
888#3347—731no—
889#3326—731no—
890#3325—731no—
891#3321—731no—
892#3318—731no—
893#3310—731no—
894#3309—731no—
895#3274—731no—
896#3265—731no—
897#3265—731no—
898#3179—731no—
899#3176—731no—
900#3171—731no—
901#3126—731no—
902#3122—731no—
903#3119—731no—
904#3118—731no—
905#3115—731no—
906#3114—731no—
907#2967—731no—
908#2949—731no—
909#2946D7311yescharacteristic, complemented
910C4×AGL(1,ℤ/8)—731no—
911C73#6150411yescharacteristic, complemented, Sylow
912C2×AGL(1,ℤ/8)—731no—
913C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
914C22×SD16—731no—
915#559—731no—
916#559—1461no—
917#557—731no—
918#555—731no—
919#555—731no—
920#555—1461no—
921#554—731no—
922#553—731no—
923#553—731no—
924#553—731no—
925#553—1461no—
926#553—1461no—
927#552—731no—
928#552—1461no—
929#550—731no—
930#550—731no—
931#548—731no—
932#548—731no—
933#546—1461no—
934#546—1461no—
935#546—1461no—
936D42—731no—
937D42—731no—
938D42—731no—
939#542—731no—
940#542—1461no—
941#540—731no—
942#540—731no—
943#540—731no—
944#540—1461no—
945#538—1461no—
946#538—1461no—
947#532—731no—
948#529—731no—
949#529—731no—
950#529—1461no—
951#529—1461no—
952#525—1461no—
953C2×#121—1461no—
954#520C2×D7311yescharacteristic, complemented
955#519—731no—
956#518—731no—
957#518C2×D7311yescharacteristic
958C4×#41—731no—
959C2×C4×D4—731no—
960#501—731no—
961#501—731no—
962#499—731no—
963#496—731no—
964#496—731no—
965#493—731no—
966#490—731no—
967#490—731no—
968#490—731no—
969#489—731no—
970#488—731no—
971#486—731no—
972#485—731no—
973#483—731no—
974#482—731no—
975#482—731no—
976#482—731no—
977#482—731no—
978#482—731no—
979#482—731no—
980#482—731no—
981#481—731no—
982#480—731no—
983#480—731no—
984#479—731no—
985#479—731no—
986#479—731no—
987#478—731no—
988#478—731no—
989#478—731no—
990#478—731no—
991#478—731no—
992#476—731no—
993#475—731no—
994#474—731no—
995#474—731no—
996#469—731no—
997#469—731no—
998#469—731no—
999#469—731no—
1000#469—731no—
1001#468—731no—
1002#468—731no—
1003#468—731no—
1004#466—731no—
1005#466—731no—
1006#466—731no—
1007#465—731no—
1008#463—731no—
1009#463—731no—
1010#463—731no—
1011#463—731no—
1012#460—731no—
1013#460—731no—
1014#460—731no—
1015#460—731no—
1016#459—731no—
1017#459—731no—
1018#459—731no—
1019#459—731no—
1020#450—731no—
1021#450—731no—
1022#449—731no—
1023#449—731no—
1024#449—731no—
1025#449—731no—
1026#448—731no—
1027#448—731no—
1028#447—731no—
1029#447—731no—
1030#447—731no—
1031#447—731no—
1032#446—731no—
1033#446—731no—
1034#442—731no—
1035#442—731no—
1036#442—731no—
1037#442—731no—
1038#442—731no—
1039#442C2×D7311yescharacteristic
1040#442C2×D7311yescharacteristic, complemented
1041#440—731no—
1042#440—731no—
1043#440—731no—
1044#440—731no—
1045#440—731no—
1046#440—731no—
1047#440—731no—
1048#440C2×D7311yescharacteristic
1049#440C2×D7311yescharacteristic, complemented
1050C4×SD16—731no—
1051C4×SD16—731no—
1052C4×SD16—731no—
1053C4×SD16—731no—
1054C4×SD16—731no—
1055C4×SD16C2×D7311yescharacteristic
1056C4×SD16C2×D7311yescharacteristic, complemented
1057C4×D8—731no—
1058C4×D8—731no—
1059C4×D8—731no—
1060C4×D8C2×D7311yescharacteristic
1061C4×D8C2×D7311yescharacteristic, complemented
1062#436—731no—
1063#436—731no—
1064#435—731no—
1065#435—731no—
1066#435—731no—
1067#435—731no—
1068#433—731no—
1069#433—731no—
1070#432—731no—
1071#428—731no—
1072#428C2×D7311yescharacteristic, complemented
1073#427—731no—
1074#419—731no—
1075#418—731no—
1076#418—731no—
1077#417—731no—
1078#416C2×D7311yescharacteristic, complemented
1079C2×#102C2×D7311yescharacteristic
1080#405—731no—
1081#405C2×D7311yescharacteristic, complemented
1082C4×M16—731no—
1083C2×#41—731no—
1084C2×#41—1461no—
1085C2×#41—1461no—
1086C2×#41C22×D7311yescharacteristic
1087C22×Q8—731no—
1088C22×D4—731no—
1089C22×D4—731no—
1090C22×D4—1461no—
1091C22×D4—1461no—
1092C22×D4—1461no—
1093C22×D4C22×D7311yescharacteristic
1094C23×C4—1461no—
1095AGL(1,ℤ/8)—24no—
1096AGL(1,ℤ/8)—1464no—
1097C2×SD16—731no—
1098C2×SD16—731no—
1099C2×SD16—731no—
1100C2×SD16—731no—
1101C2×SD16—731no—
1102C2×SD16—731no—
1103C2×SD16—1464no—
1104C2×SD16C22×D7311yescharacteristic
1105C2×SD16C22×D7311yescharacteristic
1106C2×D8—731no—
1107C2×D8—731no—
1108C2×D8—731no—
1109C2×D8—731no—
1110C2×D8—731no—
1111C2×D8—731no—
1112C2×D8C22×D7311yescharacteristic
1113C2×D8C22×D7311yescharacteristic
1114C2×M16—731no—
1115C2×M16—731no—
1116C2×M16—731no—
1117C2×M16C22×D7311yescharacteristic
1118C22×C8—731no—
1119C22×C8C22×D7311yescharacteristic
1120C4⋊Q8—731no—
1121C4⋊Q8—731no—
1122C4⋊Q8—1461no—
1123#127—731no—
1124#127—731no—
1125#127—731no—
1126#127—731no—
1127#127—1461no—
1128#126—731no—
1129#126—731no—
1130#126—1461no—
1131#126—1461no—
1132#126—1461no—
1133#126—1461no—
1134#126—1461no—
1135#126—1461no—
1136#125—731no—
1137#125—731no—
1138#125—731no—
1139#125—731no—
1140#125—731no—
1141#125—1461no—
1142#125—1461no—
1143#125—1461no—
1144#124—731no—
1145#124—731no—
1146#124—731no—
1147#124—1461no—
1148#124—1461no—
1149#124—1461no—
1150#124—1461no—
1151#124—1461no—
1152#124—1461no—
1153#124—1461no—
1154#124—1461no—
1155#124—1461no—
1156#123—731no—
1157#123—731no—
1158#123—1461no—
1159#123—1461no—
1160#123—1461no—
1161#123—1461no—
1162#123—1461no—
1163#123—1461no—
1164#123—1461no—
1165#123—1461no—
1166#123—1461no—
1167#123—1461no—
1168#123—1461no—
1169#123—1461no—
1170#123—1461no—
1171#123—1461no—
1172C22⋊Q8—731no—
1173C22⋊Q8—731no—
1174C22⋊Q8—731no—
1175C22⋊Q8—1461no—
1176C22⋊Q8—1461no—
1177C22⋊Q8—1461no—
1178C22⋊Q8—1461no—
1179C22⋊Q8—1461no—
1180C22⋊Q8—1461no—
1181#121—731no—
1182#121—731no—
1183#121—731no—
1184#121—731no—
1185#121—731no—
1186#121—731no—
1187#121—731no—
1188#121—731no—
1189#121—731no—
1190#121—731no—
1191#121—731no—
1192#121—1461no—
1193#121—1461no—
1194#121—1461no—
1195#121—1461no—
1196#121—1461no—
1197#121—1461no—
1198#121—1461no—
1199#121—1461no—
1200#121—1461no—
1201#121—1461no—
1202#121—1461no—
1203#121—1461no—
1204#121—1461no—
1205#121—1461no—
1206#121—1461no—
1207#121—1461no—
1208#121—1461no—
1209#121—1461no—
1210#121—1461no—
1211#121—1461no—
1212#121—1461no—
1213#121—1461no—
1214#120—1461no—
1215#120—1461no—
1216#120—1461no—
1217#120—1461no—
1218#120—1461no—
1219#120—1461no—
1220C4×Q8—731no—
1221C4×Q8—731no—
1222C4×Q8—731no—
1223C4×Q8—731no—
1224C4×Q8—731no—
1225C4×Q8—1461no—
1226C4×Q8—1461no—
1227C4×Q8—1461no—
1228C4×Q8C22×D7311yescharacteristic
1229C4×Q8C22×D7311yescharacteristic
1230C4×D4—21no—
1231C4×D4—21no—
1232C4×D4—21no—
1233C4×D4—21no—
1234C4×D4—731no—
1235C4×D4—731no—
1236C4×D4—731no—
1237C4×D4—731no—
1238C4×D4—731no—
1239C4×D4—731no—
1240C4×D4—731no—
1241C4×D4—731no—
1242C4×D4—731no—
1243C4×D4—731no—
1244C4×D4—731no—
1245C4×D4—1461no—
1246C4×D4—1461no—
1247C4×D4—1461no—
1248C4×D4—1461no—
1249C4×D4—1461no—
1250C4×D4—1461no—
1251C4×D4—1461no—
1252C4×D4—1461no—
1253C4×D4—1461no—
1254C4×D4—1461no—
1255C4×D4—1461no—
1256C4×D4—1461no—
1257C4×D4—1461no—
1258C4×D4—1461no—
1259C4×D4—1461no—
1260C4×D4C22×D7311yescharacteristic
1261C4×D4C22×D7311yescharacteristic
1262C4×D4C22×D7311yescharacteristic
1263C4×D4C22×D7311yescharacteristic
1264C4×D4C22×D7311yescharacteristic
1265C4×D4C22×D7311yescharacteristic
1266#117—21no—
1267#117—731no—
1268#117—731no—
1269#117—731no—
1270#117—731no—
1271#117—1461no—
1272#117—1461no—
1273#117—1461no—
1274#117—1461no—
1275#117—1461no—
1276#117—1461no—
1277#117—1461no—
1278#117C22×D7311yescharacteristic
1279#117C22×D7311yescharacteristic
1280C2×C4⋊C4—21no—
1281C2×C4⋊C4—731no—
1282C2×C4⋊C4—1461no—
1283C2×C4⋊C4C22×D7311yescharacteristic
1284C2×C22⋊C4—21no—
1285C2×C22⋊C4—21no—
1286C2×C22⋊C4—1461no—
1287C2×C22⋊C4—1461no—
1288C2×C22⋊C4—1461no—
1289C2×C42—731no—
1290C2×C42—1461no—
1291#107—731no—
1292#107—731no—
1293#107—731no—
1294#107—731no—
1295#107—731no—
1296#107—731no—
1297#107C22×D7311yescharacteristic
1298#107C22×D7311yescharacteristic
1299#106—731no—
1300#106—731no—
1301#106—731no—
1302#106—731no—
1303#106—731no—
1304#106—731no—
1305#106C22×D7311yescharacteristic
1306#106C22×D7311yescharacteristic
1307C4⋊C8—731no—
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8—731no—
1313#103—731no—
1314#103—731no—
1315#103—731no—
1316#103—731no—
1317#103—731no—
1318#103—731no—
1319#103C22×D7311yescharacteristic
1320#103C22×D7311yescharacteristic
1321#102—731no—
1322#102—731no—
1323#102—731no—
1324#102—731no—
1325#102—731no—
1326#102—731no—
1327#102—731no—
1328#102—731no—
1329#102—731no—
1330#102—731no—
1331#102—731no—
1332#102—731no—
1333#102—731no—
1334#102—731no—
1335#102—731no—
1336#102—731no—
1337#102—731no—
1338#102—731no—
1339#102C22×D7311yescharacteristic
1340#102C22×D7311yescharacteristic
1341#102C22×D7311yescharacteristic
1342#102C22×D7311yescharacteristic
1343#102C22×D7311yescharacteristic
1344#102C22×D7311yescharacteristic
1345C22⋊C8—731no—
1346C22⋊C8—731no—
1347C22⋊C8—731no—
1348C22⋊C8—731no—
1349C22⋊C8—731no—
1350C22⋊C8—731no—
1351#97—731no—
1352#97—731no—
1353#97—731no—
1354#97—731no—
1355#97C22×D7311yescharacteristic
1356#97C22×D7311yescharacteristic
1357C4×C8—731no—
1358C4×C8—731no—
1359C4×C8C22×D7311yescharacteristic
1360C4×C8C22×D7311yescharacteristic
1361C24—21no—
1362C24—1461no—
1363C24—1461no—
1364#41—22no—
1365#41—41no—
1366#41—2921no—
1367#41—5842no—
1368#41—5842no—
1369#41—1462no—
1370C2×Q8—2921no—
1371C2×Q8—731no—
1372C2×Q8—731no—
1373C2×Q8—1461no—
1374C2×Q8—1461no—
1375C2×Q8—1462no—
1376C2×Q8—1461no—
1377C2×Q8C23×D7311yescharacteristic
1378C2×D4—22no—
1379C2×D4—21no—
1380C2×D4—21no—
1381C2×D4—41no—
1382C2×D4—2921no—
1383C2×D4—2921no—
1384C2×D4—5842no—
1385C2×D4—5842no—
1386C2×D4—5842no—
1387C2×D4—731no—
1388C2×D4—731no—
1389C2×D4—731no—
1390C2×D4—731no—
1391C2×D4—731no—
1392C2×D4—731no—
1393C2×D4—1461no—
1394C2×D4—1461no—
1395C2×D4—1461no—
1396C2×D4—1461no—
1397C2×D4—1461no—
1398C2×D4—1461no—
1399C2×D4—1461no—
1400C2×D4—1461no—
1401C2×D4—1461no—
1402C2×D4—1461no—
1403C2×D4—1461no—
1404C2×D4—1461no—
1405C2×D4—1461no—
1406C2×D4—1462no—
1407C2×D4—1462no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4—1461no—
1411C2×D4—1461no—
1412C2×D4—1461no—
1413C2×D4—1461no—
1414C2×D4—1461no—
1415C2×D4—1461no—
1416C2×D4C23×D7311yescharacteristic
1417C2×D4C23×D7311yescharacteristic
1418C2×D4C23×D7311yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—21no—
1425C22×C4—21no—
1426C22×C4—21no—
1427C22×C4—5842no—
1428C22×C4—731no—
1429C22×C4—731no—
1430C22×C4—731no—
1431C22×C4—731no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4—1461no—
1438C22×C4—1461no—
1439C22×C4—1461no—
1440C22×C4—1461no—
1441C22×C4—1461no—
1442C22×C4—1461no—
1443C22×C4C23×D7311yescharacteristic
1444SD16—22no—
1445SD16—2921no—
1446SD16—2921no—
1447SD16—1462no—
1448SD16—1462no—
1449SD16—1462no—
1450SD16—1462no—
1451SD16#1192402814yescomplemented
1452D8—22no—
1453D8—22no—
1454D8—2921no—
1455D8—2921no—
1456D8—2921no—
1457D8—2921no—
1458D8—1462no—
1459D8—1462no—
1460M16—22no—
1461M16—2921no—
1462M16—2921no—
1463M16—1462no—
1464C2×C8—41no—
1465C2×C8—731no—
1466C2×C8—731no—
1467C2×C8—731no—
1468C2×C8—731no—
1469C2×C8—1462no—
1470C2×C8C23×D7311yescharacteristic
1471C2×C8C23×D7311yescharacteristic
1472C2×C8C23×D7311yescharacteristic
1473C2×C8C23×D7311yescharacteristic
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—731no—
1478C4⋊C4—731no—
1479C4⋊C4—731no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—1461no—
1490C4⋊C4—1461no—
1491C4⋊C4—1461no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4D4×D7311yescharacteristic
1507C4⋊C4D4×D7311yescharacteristic
1508C4⋊C4C23×D7311yescharacteristic
1509C4⋊C4C23×D7311yescharacteristic
1510C4⋊C4C23×D7311yescharacteristic
1511C4⋊C4C23×D7311yescharacteristic
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—21no—
1518C22⋊C4—21no—
1519C22⋊C4—731no—
1520C22⋊C4—731no—
1521C22⋊C4—731no—
1522C22⋊C4—731no—
1523C22⋊C4—731no—
1524C22⋊C4—731no—
1525C22⋊C4—731no—
1526C22⋊C4—731no—
1527C22⋊C4—1461no—
1528C22⋊C4—1461no—
1529C22⋊C4—1461no—
1530C22⋊C4—1461no—
1531C22⋊C4—1461no—
1532C22⋊C4—1461no—
1533C22⋊C4—1461no—
1534C22⋊C4—1461no—
1535C22⋊C4—1461no—
1536C22⋊C4—1461no—
1537C22⋊C4—1461no—
1538C22⋊C4—1461no—
1539C22⋊C4—1461no—
1540C22⋊C4—1461no—
1541C22⋊C4—1461no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4D4×D7311yescharacteristic
1555C22⋊C4D4×D7311yescharacteristic
1556C42—21no—
1557C42—21no—
1558C42—21no—
1559C42—731no—
1560C42—731no—
1561C42—731no—
1562C42—731no—
1563C42—1461no—
1564C42—1461no—
1565C42—1461no—
1566C42—1461no—
1567C42—1461no—
1568C42—1461no—
1569C42—1461no—
1570C42C23×D7311yescharacteristic
1571C42C23×D7311yescharacteristic
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—42no—
1576C23—81no—
1577C23—81no—
1578C23—2922no—
1579C23—2922no—
1580C23—2922no—
1581C23—5841no—
1582C23—5841no—
1583C23—5841no—
1584C23—731no—
1585C23—731no—
1586C23—1461no—
1587C23—1461no—
1588C23—1461no—
1589C23C2×D4×D7311yescharacteristic
1590Q8—21no—
1591Q8—2922no—
1592Q8—2921no—
1593Q8—5841no—
1594Q8—5841no—
1595Q8—1461no—
1596Q8—1461no—
1597Q8C2×#1192402812yes—
1598D4—21no—
1599D4—21no—
1600D4—21no—
1601D4—21no—
1602D4—21no—
1603D4—42no—
1604D4—42no—
1605D4—2922no—
1606D4—2921no—
1607D4—2922no—
1608D4—2922no—
1609D4—2922no—
1610D4—2922no—
1611D4—2921no—
1612D4—2921no—
1613D4—2922no—
1614D4—5841no—
1615D4—5841no—
1616D4—5841no—
1617D4—5841no—
1618D4—5841no—
1619D4—5841no—
1620D4—5841no—
1621D4—5841no—
1622D4—5841no—
1623D4—5841no—
1624D4—5841no—
1625D4—5841no—
1626D4—5841no—
1627D4—5841no—
1628D4—5841no—
1629D4—1461no—
1630D4—1461no—
1631D4—1461no—
1632D4—1461no—
1633D4—1461no—
1634D4—1461no—
1635D4C2×#1192402812yes—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—42no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4—81no—
1650C2×C4—81no—
1651C2×C4—2922no—
1652C2×C4—2922no—
1653C2×C4—2921no—
1654C2×C4—2921no—
1655C2×C4—2922no—
1656C2×C4—2922no—
1657C2×C4—5841no—
1658C2×C4—5841no—
1659C2×C4—5841no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—5841no—
1664C2×C4—731no—
1665C2×C4—731no—
1666C2×C4—731no—
1667C2×C4—731no—
1668C2×C4—731no—
1669C2×C4—731no—
1670C2×C4—1461no—
1671C2×C4—1461no—
1672C2×C4—1461no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4C2×D4×D7311yescharacteristic
1680C2×C4C2×D4×D7311yescharacteristic
1681C2×C4C2×D4×D7311yescharacteristic
1682C2×C4C2×D4×D7311yescharacteristic
1683C2×C4C2×D4×D7311yescharacteristic
1684C2×C4C24×D7311yescharacteristic
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—1461no—
1689C8—1461no—
1690C8—1461no—
1691C8—1461no—
1692C8C2×#1192402812yes—
1693C22—21no—
1694C22—22no—
1695C22—21no—
1696C22—21no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—162no—
1706C22—2921no—
1707C22—2921no—
1708C22—2921no—
1709C22—2921no—
1710C22—2921no—
1711C22—2921no—
1712C22—2921no—
1713C22—2921no—
1714C22—2921no—
1715C22—5844no—
1716C22—11682no—
1717C22—1461no—
1718C22—1461no—
1719C22—1461no—
1720C22—1461no—
1721C22—1461no—
1722C22—1461no—
1723C22C22×D4×D7311yescharacteristic
1724C4—21no—
1725C4—22no—
1726C4—21no—
1727C4—21no—
1728C4—21no—
1729C4—21no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—41no—
1734C4—2921no—
1735C4—2921no—
1736C4—2921no—
1737C4—2921no—
1738C4—2921no—
1739C4—1461no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4—1461no—
1744C4—1461no—
1745C4C22×#1192402811yescharacteristic
1746C4#1798942311yescharacteristic
1747C2—41no—
1748C2—42no—
1749C2—81no—
1750C2—81no—
1751C2—2921no—
1752C2—2921no—
1753C2—5841no—
1754C2—5841no—
1755C2—5841no—
1756C2D4×#1192402811yescharacteristic
1757C2#2262470611yescharacteristic
1758C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#2946C2
socleC22×C73C23×D4
hypercenter#2946D73
hypocenterC73#61504
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ #117 ◁ #2946

Complements

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

NH ≅ G/Ntype
1. #22624032C2semidirect
2. #22623953C2semidirect
3. #22622974C2semidirect
4. #22622877C2semidirect
5. #22622680C2semidirect
6. #22622658C2semidirect
7. #22622487C2semidirect
8. #22622436C2semidirect
9. #22622432C2semidirect
10. #22622189C2semidirect
11. #22622175C2semidirect
12. #22622113C2semidirect
13. #22622068C2semidirect
14. #22621948C2semidirect
15. #22621933C2semidirect
16. #22621545C2semidirect
17. #22621428C2semidirect
18. #22621420C2semidirect
19. #22620614C2semidirect
20. #22620577C2semidirect
21. #22620524C2semidirect
22. #22620221C2semidirect
23. #22620173C2semidirect
24. #22620130C2semidirect
25. #22620115C2semidirect
26. #22620080C2semidirect
27. #22620067C2semidirect
28. #22618912C2semidirect
29. #22618785C2semidirect
30. C4×#14556618C2semidirect
31. C73×#2946C2semidirect
35. #17989320C22semidirect
36. #17989316C22semidirect
38. #17989302C22semidirect
44. #17989285C22semidirect
47. #17989272C22semidirect
49. #17989256C22semidirect
50. #17989249C22semidirect
51. #17989244C22semidirect
59. #17989208C22semidirect
63. #17989188C22semidirect
68. #17989119C22semidirect
73. #17989063C22semidirect
75. C4×#11924029C22semidirect
77. #17988996C22semidirect
78. #17988995C22semidirect
79. #17988988C22semidirect
80. #17988976C22semidirect
81. #17988975C22semidirect
82. #17988962C22semidirect
83. #17988950C22semidirect
84. #17988950C22semidirect
85. #17988950C22semidirect
86. #17988945C22semidirect
87. #17988942C22semidirect
88. #17988934C22semidirect
89. #17988928C22semidirect
90. #17988919C22semidirect
91. #17988914C22semidirect
92. #17988914C22semidirect
93. #17988913C22semidirect
94. #17988911C22semidirect
95. #17988910C22semidirect
96. #17988910C22semidirect
97. #17988909C22semidirect
98. #17988905C22semidirect
99. #17988900C22semidirect
100. #17988899C22semidirect
101. #17988896C22semidirect
102. #17988894C22semidirect
103. #17988893C22semidirect
105. #17988887C22semidirect
106. #17988886C22semidirect
107. #17988886C22semidirect
110. #17988870C22semidirect
111. #17988867C22semidirect
112. #17988866C22semidirect
113. #17988840C22semidirect
114. #17988839C22semidirect
115. #17988839C22semidirect
116. #17988839C22semidirect
117. #17988837C22semidirect
118. #17988834C22semidirect
119. #17988833C22semidirect
120. #17988832C22semidirect
121. #17988824C22semidirect
122. #17988823C22semidirect
123. #17988820C22semidirect
124. #17988816C22semidirect
126. #17988802C22semidirect
127. #17988801C22semidirect
129. #17988787C22semidirect
130. #17988786C22semidirect
131. #17988785C22semidirect
132. #17988785C22semidirect
133. #17988782C22semidirect
134. #17988781C22semidirect
135. #17988781C22semidirect
139. #17988735C22semidirect
140. #17988732C22semidirect
141. #17988732C22semidirect
142. #17988731C22semidirect
143. #17988727C22semidirect
144. #17988724C22semidirect
149. #17988717C22semidirect
150. #17988715C22semidirect
151. #17988700C22semidirect
152. #17988698C22semidirect
153. #17988697C22semidirect
154. #17988697C22semidirect
156. #17988690C22semidirect
157. #17988690C22semidirect
158. #17988689C22semidirect
161. #17988685C22semidirect
163. C4×#11924017C22semidirect
165. C4×#11924015C22semidirect
166. #17988674C22semidirect
167. C4×#11924016C22semidirect
168. C4×D584C22semidirect
170. C4×#11924013C22semidirect
171. #17988666C22semidirect
172. #17988663C22semidirect
173. #17988660C22semidirect
174. #17988658C22semidirect
175. #17988658C22semidirect
176. #17988656C22semidirect
177. #17988649C22semidirect
178. #17988648C22semidirect
179. #17988642C22semidirect
180. #17988626C22semidirect
181. #17988622C22semidirect
182. #17988594C22semidirect
185. #17988587C22semidirect
186. #17988541C22semidirect
187. C4×#11924011C22semidirect
189. #520×C73C22semidirect
192. #442×C73C22semidirect
194. #440×C73C22semidirect
196. C4×SD16×C73C22semidirect
198. C4×D8×C73C22semidirect
199. #428×C73C22semidirect
200. #416×C73C22semidirect
202. #405×C73C22semidirect
660. SD16×C73#41semidirect
909. #2946D73semidirect
911. C73#61504semidirect
954. #520C2×D73semidirect
1040. #442C2×D73semidirect
1049. #440C2×D73semidirect
1056. C4×SD16C2×D73semidirect
1061. C4×D8C2×D73semidirect
1072. #428C2×D73semidirect
1078. #416C2×D73semidirect
1081. #405C2×D73semidirect
1451. SD16#11924028semidirect

Maximal subgroups

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

subgroupindex
#226240322
#226239532
#226229742
#226228772
#226226802
#226226582
#226224872
#226224362
#226224322
#226221892
#226221752
#226221132
#226220682
#226219482
#226219332
#226215452
#226214282
#226214202
#226206142
#226205772
#226205242
#226202212
#226201732
#226201302
#226201152
#226200802
#226200672
#226189122
#226187852
C4×#145566182
C73×#29462
#6150473