Finite Group Databasebeta

← #33983191

Subgroups — #33983191

Order 18688.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624580C211yesmaximal, characteristic, complemented
2#22623871C211yesmaximal, characteristic, complemented
3#22622889C211yesmaximal, characteristic, complemented
4#22622801C211yesmaximal, characteristic, complemented
5#22622697C211yesmaximal, characteristic, complemented
6#22622594C211yesmaximal, characteristic, complemented
7#22622522C211yesmaximal, characteristic, complemented
8#22622498C211yesmaximal, characteristic, complemented
9#22622487C211yesmaximal, characteristic, complemented
10#22622462C211yesmaximal, characteristic, complemented
11#22622372C211yesmaximal, characteristic, complemented
12#22622330C211yesmaximal, characteristic, complemented
13#22622158C211yesmaximal, characteristic, complemented
14#22622143C211yesmaximal, characteristic, complemented
15#22622129C211yesmaximal, characteristic, complemented
16#22622088C211yesmaximal, characteristic, complemented
17#22622073C211yesmaximal, characteristic, complemented
18#22621763C211yesmaximal, characteristic, complemented
19#22621391C211yesmaximal, characteristic, complemented
20#22621341C211yesmaximal, characteristic, complemented
21#22621332C211yesmaximal, characteristic, complemented
22#22621226C211yesmaximal, characteristic, complemented
23#22621191C211yesmaximal, characteristic, complemented
24#22621110C211yesmaximal, characteristic, complemented
25#22620213C211yesmaximal, characteristic, complemented
26#22620122C211yesmaximal, characteristic, complemented
27#22619978C211yesmaximal, characteristic, complemented
28#22619777C211yesmaximal, characteristic, complemented
29#22619757C211yesmaximal, characteristic, complemented
30#22619076C211yesmaximal, characteristic, complemented
31C73×#3077C211yesmaximal, characteristic, complemented
32#17989338—21no—
33#17989333—21no—
34#17989320C2211yescharacteristic
35#17989314C2211yescharacteristic, complemented
36#17989309—21no—
37#17989305C2211yescharacteristic
38#17989300C2211yescharacteristic, complemented
39#17989296C2211yescharacteristic
40#17989293C2211yescharacteristic, complemented
41#17989290C2211yescharacteristic, complemented
42#17989287C2211yescharacteristic
43#17989286—21no—
44#17989281C2211yescharacteristic
45#17989278—21no—
46#17989276C2211yescharacteristic, complemented
47#17989275C2211yescharacteristic, complemented
48#17989272C2211yescharacteristic
49#17989266—21no—
50#17989263—21no—
51#17989238C2211yescharacteristic
52#17989232C2211yescharacteristic
53#17989231C2211yescharacteristic
54#17989227—21no—
55D4×C22⋊D73C2211yescharacteristic
56#17989214C2211yescharacteristic, complemented
57#17989214C2211yescharacteristic, complemented
58#17989211C2211yescharacteristic, complemented
59#17989211C2211yescharacteristic, complemented
60#17989209—21no—
61#17989207—21no—
62#17989202C2211yescharacteristic
63#17989195—21no—
64#17989188C2211yescharacteristic
65#17989183—21no—
66#17989179—21no—
67#17989170—21no—
68#17989121C2211yescharacteristic
69#17989121C2211yescharacteristic
70#17989121C2211yescharacteristic, complemented
71#17989098—21no—
72C2×#14556574—21no—
73#17989066C2211yescharacteristic
74#17989059C2211yescharacteristic
75#17988995C2211yescharacteristic, complemented
76#17988994C2211yescharacteristic, complemented
77#17988988C2211yescharacteristic, complemented
78#17988986C2211yescharacteristic, complemented
79#17988986C2211yescharacteristic, complemented
80#17988984C2211yescharacteristic, complemented
81#17988950C2211yescharacteristic
82#17988945C2211yescharacteristic, complemented
83#17988944C2211yescharacteristic, complemented
84#17988944C2211yescharacteristic, complemented
85#17988940C2211yescharacteristic, complemented
86#17988932C2211yescharacteristic
87#17988931C2211yescharacteristic, complemented
88#17988930C2211yescharacteristic, complemented
89#17988928C2211yescharacteristic, complemented
90#17988928C2211yescharacteristic, complemented
91#17988922C2211yescharacteristic, complemented
92#17988919C2211yescharacteristic, complemented
93#17988919C2211yescharacteristic, complemented
94#17988914C2211yescharacteristic, complemented
95#17988914C2211yescharacteristic, complemented
96#17988911C2211yescharacteristic
97#17988911C2211yescharacteristic
98#17988909C2211yescharacteristic
99#17988909C2211yescharacteristic, complemented
100#17988907C2211yescharacteristic, complemented
101#17988905C2211yescharacteristic, complemented
102#17988904C2211yescharacteristic
103#17988904C2211yescharacteristic, complemented
104#17988902C2211yescharacteristic, complemented
105#17988897C2211yescharacteristic, complemented
106#17988895C2211yescharacteristic, complemented
107#17988895C2211yescharacteristic, complemented
108#17988893C2211yescharacteristic, complemented
109#17988889C2211yescharacteristic
110#17988889C2211yescharacteristic
111#17988888C2211yescharacteristic, complemented
112#17988888C2211yescharacteristic, complemented
113#17988887C2211yescharacteristic
114#17988887C2211yescharacteristic, complemented
115#17988886C2211yescharacteristic, complemented
116#17988886C2211yescharacteristic, complemented
117#17988881C2211yescharacteristic, complemented
118#17988881C2211yescharacteristic, complemented
119#17988879C2211yescharacteristic, complemented
120#17988876C2211yescharacteristic, complemented
121#17988874C2211yescharacteristic, complemented
122#17988869C2211yescharacteristic, complemented
123#17988866C2211yescharacteristic, complemented
124#17988865C2211yescharacteristic
125#17988865C2211yescharacteristic
126#17988864C2211yescharacteristic, complemented
127#17988845C2211yescharacteristic, complemented
128#17988841C2211yescharacteristic, complemented
129#17988840C2211yescharacteristic
130#17988834C2211yescharacteristic, complemented
131#17988833C2211yescharacteristic
132#17988833C2211yescharacteristic, complemented
133#17988832C2211yescharacteristic
134#17988832C2211yescharacteristic, complemented
135#17988829C2211yescharacteristic, complemented
136#17988822C2211yescharacteristic
137#17988822C2211yescharacteristic, complemented
138#17988817C2211yescharacteristic, complemented
139#17988810C2211yescharacteristic, complemented
140#17988810C2211yescharacteristic, complemented
141#17988808C2211yescharacteristic, complemented
142#17988803C2211yescharacteristic, complemented
143#17988803C2211yescharacteristic, complemented
144#17988802C2211yescharacteristic
145#17988802C2211yescharacteristic, complemented
146#17988801C2211yescharacteristic, complemented
147#17988786C2211yescharacteristic
148#17988781C2211yescharacteristic
149#17988750C2211yescharacteristic
150#17988739C2211yescharacteristic
151#17988738C2211yescharacteristic
152#17988733C2211yescharacteristic
153#17988722C2211yescharacteristic
154#17988721C2211yescharacteristic
155#17988714C2211yescharacteristic, complemented
156#17988711C2211yescharacteristic, complemented
157#17988696C2211yescharacteristic
158#17988696C2211yescharacteristic
159#17988693C2211yescharacteristic, complemented
160#17988686C2211yescharacteristic, complemented
161#17988678C2211yescharacteristic
162#17988678C2211yescharacteristic
163#17988674C2211yescharacteristic, complemented
164C4×#11924016C2211yescharacteristic
165C4×#11924016C2211yescharacteristic, complemented
166#17988669C2211yescharacteristic, complemented
167C4×#11924013C2211yescharacteristic
168C4×#11924013C2211yescharacteristic, complemented
169#17988664C2211yescharacteristic, complemented
170#17988663C2211yescharacteristic
171#17988663C2211yescharacteristic, complemented
172#17988656C2211yescharacteristic
173#17988656C2211yescharacteristic, complemented
174#17988652C2211yescharacteristic, complemented
175#17988647C2211yescharacteristic, complemented
176#17988647C2211yescharacteristic, complemented
177#17988640C2211yescharacteristic, complemented
178#17988628C2211yescharacteristic, complemented
179#17988626C2211yescharacteristic, complemented
180#17988622C2211yescharacteristic, complemented
181#107×D73C2211yescharacteristic, complemented
182#17988612C2211yescharacteristic, complemented
183#17988612C2211yescharacteristic, complemented
184#17988590C2211yescharacteristic
185#17988585C2211yescharacteristic
186#17988580C2211yescharacteristic
187#102×D73C2211yescharacteristic
188#533×C73C2211yescharacteristic, complemented
189C2×C4×D4×C73C2211yescharacteristic
190#478×C73C2211yescharacteristic
191#478×C73C2211yescharacteristic
192#478×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic, complemented
194#476×C73C2211yescharacteristic
195#476×C73C2211yescharacteristic, complemented
196#474×C73C2211yescharacteristic
197#474×C73C2211yescharacteristic, complemented
198#428×C73C2211yescharacteristic, complemented
199#428×C73C2211yescharacteristic, complemented
200#423×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic
202#418×C73C2211yescharacteristic
203C2×#11924028—21no—
204C2×#11924027C2311yescharacteristic
205C22×C22⋊D73—21no—
206C2×D4×D73C2311yescharacteristic
207C2×Dic292C2311yescharacteristic
208C2×#11924017C2311yescharacteristic
209C2×#11924017C2311yescharacteristic
210C2×#11924016C2311yescharacteristic
211C2×#11924016C2311yescharacteristic
212C2×D584C2311yescharacteristic
213C2×#11924013C2311yescharacteristic
214C2×#11924013C2311yescharacteristic
215C2×#11924011C2311yescharacteristic
216C2×#11924011C2311yescharacteristic
217C2×C8×D73C2311yescharacteristic
218C2×C8×D73C2311yescharacteristic
219#14556590—21no—
220#14556590C2311yescharacteristic
221#14556590C2311yescharacteristic
222#14556590C2311yescharacteristic
223#14556589—21no—
224#14556589—21no—
225#14556587C2311yescharacteristic
226#14556586—21no—
227#14556586—21no—
228#14556586—21no—
229#14556586—21no—
230#14556586—21no—
231#14556585—21no—
232#14556585—21no—
233#14556585—21no—
234#14556585—21no—
235#14556585D411yescharacteristic
236#14556585D411yescharacteristic
237#14556584—21no—
238#14556584—21no—
239#14556584—21no—
240#14556584—21no—
241#14556583—21no—
242#14556583D411yescharacteristic
243#14556583C2311yescharacteristic
244#14556583C2311yescharacteristic
245#14556582—21no—
246#14556582C2311yescharacteristic
247#14556582C2311yescharacteristic
248#14556582C2311yescharacteristic
249#14556581—21no—
250#14556581—21no—
251#14556581—21no—
252#14556581—21no—
253#14556581—21no—
254#14556580—21no—
255#14556580—21no—
256#14556579—21no—
257#14556579D411yescharacteristic
258#14556579C2311yescharacteristic
259#14556579C2311yescharacteristic
260#14556578C2311yescharacteristic
261#14556577—21no—
262#14556577—21no—
263#14556577—21no—
264#14556577—21no—
265#14556576—21no—
266#14556576—21no—
267#14556576—21no—
268#14556576—21no—
269#14556576—21no—
270#14556575—21no—
271#14556574—21no—
272#14556574—21no—
273#14556574—21no—
274#14556574—21no—
275#14556574—21no—
276#14556574—21no—
277#14556574—21no—
278#14556574—21no—
279#14556574D411yescharacteristic
280#14556574D411yescharacteristic
281#14556573—21no—
282#14556573—21no—
283#14556573—21no—
284#14556573—21no—
285#14556572—21no—
286#14556571—21no—
287#14556571C2311yescharacteristic
288#14556571C2311yescharacteristic
289#14556571C2311yescharacteristic
290#14556570—21no—
291#14556570—21no—
292#14556570D411yescharacteristic
293#14556570C2311yescharacteristic
294#14556570C2311yescharacteristic
295#14556569—21no—
296#14556569—21no—
297#14556569—21no—
298#14556569—21no—
299#14556569—21no—
300#14556568—21no—
301#14556568—21no—
302#14556567—21no—
303#14556567—21no—
304#14556567—21no—
305#14556567—21no—
306#14556566—21no—
307#14556566C2311yescharacteristic
308#14556566C2311yescharacteristic
309#14556566C2311yescharacteristic
310#14556565—21no—
311#14556565—21no—
312#14556565D411yescharacteristic
313#14556565C2311yescharacteristic
314#14556565C2311yescharacteristic
315#14556564—21no—
316#14556564—21no—
317#14556564—21no—
318#14556564—21no—
319#14556563—21no—
320#14556563—21no—
321#14556562C2311yescharacteristic
322#14556562C2311yescharacteristic
323#14556561—21no—
324#14556560—21no—
325#14556560—21no—
326#14556559—21no—
327C4×Dic146—21no—
328C4×Dic146C2311yescharacteristic
329C4×Dic146C2311yescharacteristic
330C4×Dic146C2311yescharacteristic
331#14556556—21no—
332#14556556C2311yescharacteristic
333#14556556C2311yescharacteristic
334#14556556C2311yescharacteristic
335C4×D292—21no—
336C4×D292C2311yescharacteristic
337C4×D292C2311yescharacteristic
338C4×D292C2311yescharacteristic
339D4×Dic73C2311yescharacteristic
340D4×Dic73C2311yescharacteristic
341#14556553—21no—
342#14556553C2311yescharacteristic
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345C4×C22⋊D73—21no—
346C4×C22⋊D73—21no—
347C4×C22⋊D73—21no—
348C4×C22⋊D73—21no—
349C4×C22⋊D73—21no—
350C4×C22⋊D73—21no—
351C4×C22⋊D73C2311yescharacteristic
352C4×C22⋊D73C2311yescharacteristic
353#14556551—21no—
354#14556551—21no—
355#14556550—21no—
356#14556549—21no—
357#14556549C2311yescharacteristic
358#14556549C2311yescharacteristic
359#14556549C2311yescharacteristic
360#14556548—21no—
361#14556548—21no—
362#14556548—21no—
363#14556548—21no—
364#14556548C2311yescharacteristic
365#14556548C2311yescharacteristic
366#14556547—21no—
367C2×#11924007—21no—
368C2×#11924007—21no—
369C4⋊C4×D73—21no—
370C4⋊C4×D73C2311yescharacteristic
371C4⋊C4×D73C2311yescharacteristic
372C4⋊C4×D73C2311yescharacteristic
373C2×C22⋊Dic73—21no—
374C2×#11924005—21no—
375C2×#11924005—21no—
376C22⋊C4×D73—21no—
377#14556525C2311yescharacteristic
378#14556525C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556523C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393C4⋊#10596831C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556516C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556514C2311yescharacteristic
404#14556514C2311yescharacteristic
405#14556514C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556512C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423C22⋊#10596831C2311yescharacteristic
424C22⋊#10596831C2311yescharacteristic
425#14556503C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556501C2311yescharacteristic
430#14556501C2311yescharacteristic
431C4×#10596831C2311yescharacteristic
432C4×#10596831C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C22×D4×C73C2311yescharacteristic
436C23×C4×C73—21no—
437C2×M16×C73C2311yescharacteristic
438C2×M16×C73C2311yescharacteristic
439C4⋊Q8×C73C2311yescharacteristic
440C4⋊Q8×C73C2311yescharacteristic
441#125×C73C2311yescharacteristic
442#125×C73C2311yescharacteristic
443C22⋊Q8×C73—21no—
444C22⋊Q8×C73—21no—
445C4×Q8×C73—21no—
446C4×Q8×C73—21no—
447C4×D4×C73—21no—
448C4×D4×C73—21no—
449C4×D4×C73C2311yescharacteristic
450C4×D4×C73C2311yescharacteristic
451C4×D4×C73C2311yescharacteristic
452C4×D4×C73C2311yescharacteristic
453#117×C73C2311yescharacteristic
454#117×C73C2311yescharacteristic
455C2×C4⋊C4×C73C2311yescharacteristic
456C2×C22⋊C4×C73—21no—
457C2×C42×C73C2311yescharacteristic
458#107×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#106×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466C4⋊C8×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469C4⋊C8×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478C23×D73—21no—
479#11924028—82no—
480#11924027—22no—
481#11924027—41no—
482C2×Dic146—21no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146C2×D411yescharacteristic
486C2×Dic146C2411yescharacteristic
487C2×Dic146C2411yescharacteristic
488C2×D292—21no—
489C2×D292—21no—
490C2×D292—21no—
491C2×D292C2×D411yescharacteristic
492C2×D292C2411yescharacteristic
493C2×D292C2411yescharacteristic
494C2×C22⋊D73—21no—
495C2×C22⋊D73—21no—
496C2×C22⋊D73—21no—
497C2×C22⋊D73—21no—
498C2×C22⋊D73—21no—
499C2×C22⋊D73—21no—
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73—82no—
503C2×C22⋊D73C2×D411yescharacteristic
504C2×C22⋊D73C2×D411yescharacteristic
505D4×D73—22no—
506D4×D73—41no—
507C22×Dic73—21no—
508C22×Dic73—21no—
509C22×Dic73—21no—
510C2×C4×D73—21no—
511C2×C4×D73—21no—
512C2×C4×D73—21no—
513C2×C4×D73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73C2411yescharacteristic
519C2×C4×D73C2411yescharacteristic
520Dic292—41no—
521#11924017—41no—
522#11924017—41no—
523#11924016—22no—
524#11924016—41no—
525D584—41no—
526#11924013—22no—
527#11924013—41no—
528#11924011—41no—
529#11924011—41no—
530C2×#10596831C2411yescharacteristic
531C2×#10596831C2411yescharacteristic
532C2×#10596831C2411yescharacteristic
533C2×#10596831C2411yescharacteristic
534C8×D73—41no—
535C8×D73—41no—
536C4⋊Dic73—21no—
537C4⋊Dic73—21no—
538C4⋊Dic73—21no—
539C4⋊Dic73—21no—
540C4⋊Dic73—21no—
541C4⋊Dic73—21no—
542C4⋊Dic73C2×D411yescharacteristic
543C4⋊Dic73C2×D411yescharacteristic
544C4⋊Dic73C2411yescharacteristic
545C4⋊Dic73C2411yescharacteristic
546C4⋊Dic73C2411yescharacteristic
547C4⋊Dic73C2411yescharacteristic
548#11924007—21no—
549#11924007—21no—
550#11924007—21no—
551#11924007—21no—
552#11924007—21no—
553#11924007—21no—
554#11924007—21no—
555#11924007—21no—
556#11924007—21no—
557#11924007—21no—
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007C2×D411yescharacteristic
569#11924007C2×D411yescharacteristic
570#11924007C2×D411yescharacteristic
571#11924007C2×D411yescharacteristic
572#11924007C2×D411yescharacteristic
573#11924007C2×D411yescharacteristic
574#11924007C2×D411yescharacteristic
575#11924007C2×D411yescharacteristic
576C22⋊Dic73—21no—
577C22⋊Dic73—21no—
578C22⋊Dic73—21no—
579C22⋊Dic73—21no—
580C22⋊Dic73—21no—
581C22⋊Dic73—21no—
582C22⋊Dic73—21no—
583C22⋊Dic73—21no—
584C22⋊Dic73C2×D411yescharacteristic
585C22⋊Dic73C2×D411yescharacteristic
586#11924005—21no—
587#11924005—21no—
588#11924005—21no—
589#11924005—21no—
590#11924005—21no—
591#11924005—21no—
592#11924005—21no—
593#11924005—21no—
594#11924005—21no—
595#11924005—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005—21no—
604#11924005—21no—
605#11924005—21no—
606#11924005C2×D411yescharacteristic
607#11924005C2×D411yescharacteristic
608#11924005C2×D411yescharacteristic
609#11924005C2×D411yescharacteristic
610#11924005C2×D411yescharacteristic
611#11924005C2×D411yescharacteristic
612#11924005C2×D411yescharacteristic
613#11924005C2×D411yescharacteristic
614C4×Dic73—21no—
615C4×Dic73—21no—
616C4×Dic73—21no—
617C4×Dic73—21no—
618C4×Dic73—21no—
619C4×Dic73—21no—
620C4×Dic73—21no—
621C4×Dic73—21no—
622C4×Dic73C2411yescharacteristic
623C4×Dic73C2411yescharacteristic
624C24×C73—21no—
625C2×Q8×C73—21no—
626C2×Q8×C73—21no—
627C2×D4×C73—22no—
628C2×D4×C73—21no—
629C2×D4×C73—41no—
630C2×D4×C73C2411yescharacteristic
631C2×D4×C73C2411yescharacteristic
632C22×C4×C73—21no—
633C22×C4×C73—21no—
634C22×C4×C73—21no—
635C22×C4×C73—21no—
636C22×C4×C73—21no—
637C22×C4×C73—82no—
638C22×C4×C73C2×D411yescharacteristic
639C22×C4×C73C2×D411yescharacteristic
640C22×C4×C73C2411yescharacteristic
641M16×C73—41no—
642M16×C73—41no—
643C2×C8×C73C2411yescharacteristic
644C2×C8×C73C2411yescharacteristic
645C2×C8×C73C2411yescharacteristic
646C2×C8×C73C2411yescharacteristic
647C4⋊C4×C73—21no—
648C4⋊C4×C73—21no—
649C4⋊C4×C73—21no—
650C4⋊C4×C73—21no—
651C4⋊C4×C73—21no—
652C4⋊C4×C73—21no—
653C4⋊C4×C73—21no—
654C4⋊C4×C73C2411yescharacteristic
655C4⋊C4×C73C2411yescharacteristic
656C4⋊C4×C73C2411yescharacteristic
657C4⋊C4×C73C2411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
659C4⋊C4×C73C2411yescharacteristic
660C22⋊C4×C73—21no—
661C22⋊C4×C73—21no—
662C22⋊C4×C73—21no—
663C22⋊C4×C73—21no—
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C42×C73—21no—
667C42×C73—21no—
668C42×C73C2×D411yescharacteristic
669C42×C73C2×D411yescharacteristic
670C42×C73C2411yescharacteristic
671C42×C73C2411yescharacteristic
672C23×C73—21no—
673C23×C73—21no—
674C23×C73—42no—
675C23×C73—42no—
676C23×C73—81no—
677C23×C73C22×D411yescharacteristic
678C22×D73—21no—
679C22×D73—21no—
680C22×D73—42no—
681C22×D73—81no—
682C22×D73—81no—
683C22×D73C22×D411yescharacteristic
684C22×D73C22×D411yescharacteristic
685Q8×C73—81no—
686Q8×C73—81no—
687D4×C73—21no—
688D4×C73—21no—
689D4×C73—21no—
690D4×C73—42no—
691D4×C732−1+412yes—
692C2×C4×C73—21no—
693C2×C4×C73—21no—
694C2×C4×C73—21no—
695C2×C4×C73—21no—
696C2×C4×C73—21no—
697C2×C4×C73—21no—
698C2×C4×C73—21no—
699C2×C4×C73—21no—
700C2×C4×C73—41no—
701C2×C4×C73—41no—
702C2×C4×C73—42no—
703C2×C4×C73—81no—
704C2×C4×C73—81no—
705C2×C4×C73—81no—
706C2×C4×C73—81no—
707C2×C4×C73C22×D411yescharacteristic
708C2×C4×C73C22×D411yescharacteristic
709C2×C4×C73C22×D411yescharacteristic
710C2×C4×C73C22×D411yescharacteristic
711C2×C4×C73C22×D411yescharacteristic
712C2×C4×C73C2511yescharacteristic
713C22⋊D73—41no—
714C22⋊D73—41no—
715C22⋊D73—42no—
716C22⋊D73—42no—
717C22⋊D73—42no—
718C22⋊D73—81no—
719C22⋊D73—81no—
720C22⋊D73—81no—
721C22⋊D73—81no—
722C22⋊D73—81no—
723C2×Dic73—21no—
724C2×Dic73—21no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—21no—
728C2×Dic73—21no—
729C2×Dic73—42no—
730C2×Dic73—81no—
731C2×Dic73—81no—
732C2×Dic73C22×D411yescharacteristic
733C2×Dic73C22×D411yescharacteristic
734C2×Dic73C22×D411yescharacteristic
735C2×Dic73C22×D411yescharacteristic
736C2×Dic73C22×D411yescharacteristic
737C2×Dic73C22×D411yescharacteristic
738D292—21no—
739D292—21no—
740D292—21no—
741D292—21no—
742D292—41no—
743D292—81no—
744D292—81no—
745D292—81no—
746C4×D73—21no—
747C4×D73—21no—
748C4×D73—21no—
749C4×D73—21no—
750C4×D73—81no—
751C4×D73—81no—
752C4×D73—81no—
753C4×D73—81no—
754C4×D73—81no—
755C4×D73—81no—
756C4×D73—81no—
757C4×D73—81no—
758Dic146—21no—
759Dic146—21no—
760Dic146—21no—
761Dic146—21no—
762Dic146—41no—
763Dic146—81no—
764Dic146—81no—
765Dic146—81no—
766C8×C73—21no—
767C8×C73—21no—
768C8×C73—21no—
769C8×C73—21no—
770#10596831—21no—
771#10596831—21no—
772#10596831—21no—
773#10596831—21no—
774C22×C73—21no—
775C22×C73—21no—
776C22×C73—22no—
777C22×C73—21no—
778C22×C73—41no—
779C22×C73—41no—
780C22×C73—41no—
781C22×C73—41no—
782C22×C73—41no—
783C22×C73—84no—
784C22×C73C23×D411yescharacteristic
785C2×D73—21no—
786C2×D73—21no—
787C2×D73—21no—
788C2×D73—21no—
789C2×D73—21no—
790C2×D73—21no—
791C2×D73—41no—
792C2×D73—41no—
793C2×D73—41no—
794C2×D73—41no—
795C2×D73—41no—
796C2×D73—41no—
797C2×D73—162no—
798C4×C73—21no—
799C4×C73—21no—
800C4×C73—21no—
801C4×C73—21no—
802C4×C73—21no—
803C4×C73—41no—
804C4×C73—41no—
805C4×C73—41no—
806C4×C73—41no—
807C4×C73—41no—
808C4×C73—41no—
809C4×C73C2×2−1+411yescharacteristic
810C4×C73#58511yescharacteristic
811Dic73—21no—
812Dic73—21no—
813Dic73—21no—
814Dic73—21no—
815Dic73—21no—
816Dic73—21no—
817Dic73—41no—
818Dic73—41no—
819Dic73—41no—
820Dic73—41no—
821Dic73—41no—
822Dic73—41no—
823#62175—731nomaximal, Sylow
824C2×C73—42no—
825C2×C73—41no—
826C2×C73—81no—
827C2×C73#348911yescharacteristic
828C2×C73#358411yescharacteristic
829C2×C73#358511yescharacteristic
830D73—41no—
831D73—41no—
832D73—81no—
833D73—81no—
834#3565—731no—
835#3513—731no—
836#3389—731no—
837#3381—731no—
838#3371—731no—
839#3361—731no—
840#3354—731no—
841#3351—731no—
842#3351—731no—
843#3349—731no—
844#3343—731no—
845#3339—731no—
846#3324—731no—
847#3323—731no—
848#3322—731no—
849#3319—731no—
850#3318—731no—
851#3296—731no—
852#3262—731no—
853#3257—731no—
854#3256—731no—
855#3244—731no—
856#3241—731no—
857#3233—731no—
858#3125—731no—
859#3118—731no—
860#3105—731no—
861#3083—731no—
862#3081—731no—
863#3077D7311yescharacteristic, complemented
864#2993—731no—
865C73#6217511yescharacteristic, complemented, Sylow
866#563—1461no—
867#562—1461no—
868#559—731no—
869#557—731no—
870#556—731no—
871#556—1461no—
872#555—731no—
873#554—731no—
874#554—731no—
875#553—731no—
876#553—731no—
877#553—731no—
878#553—1461no—
879#552—731no—
880#552—731no—
881#552—731no—
882#552—1461no—
883#551—1461no—
884#551—1461no—
885#547—731no—
886#546—731no—
887#546—731no—
888#546—1461no—
889D42—731no—
890#544—731no—
891#544—731no—
892#542—731no—
893#542—731no—
894#542—731no—
895#542—1461no—
896#542—1461no—
897#541—1461no—
898#540—731no—
899#539—1461no—
900#539—1461no—
901#538—1461no—
902#533C2×D7311yescharacteristic, complemented
903#529—731no—
904#529—731no—
905#529—731no—
906#525—1461no—
907C2×#123—1461no—
908#520—731no—
909#518—731no—
910C2×C4×D4C2×D7311yescharacteristic
911#501—731no—
912#501—731no—
913#499—731no—
914#499—731no—
915#499—731no—
916#498—731no—
917#490—731no—
918#489—731no—
919#488—731no—
920#488—731no—
921#488—731no—
922#486—731no—
923#485—731no—
924#485—731no—
925#485—731no—
926#485—731no—
927#484—731no—
928#483—731no—
929#483—731no—
930#482—731no—
931#482—731no—
932#482—731no—
933#482—731no—
934#482—731no—
935#482—731no—
936#481—731no—
937#481—731no—
938#481—731no—
939#481—731no—
940#480—731no—
941#479—731no—
942#479—731no—
943#479—731no—
944#479—731no—
945#478—731no—
946#478—731no—
947#478—731no—
948#478—731no—
949#478—731no—
950#478—731no—
951#478—731no—
952#478—731no—
953#478C2×D7311yescharacteristic
954#478C2×D7311yescharacteristic
955#478C2×D7311yescharacteristic, complemented
956#478C2×D7311yescharacteristic, complemented
957#477—731no—
958#477—731no—
959#477—731no—
960#476—731no—
961#476—731no—
962#476C2×D7311yescharacteristic
963#476C2×D7311yescharacteristic, complemented
964#475—731no—
965#474—731no—
966#474—731no—
967#474—731no—
968#474—731no—
969#474C2×D7311yescharacteristic
970#474C2×D7311yescharacteristic, complemented
971#470—731no—
972#469—731no—
973#469—731no—
974#468—731no—
975#468—731no—
976#468—731no—
977#468—731no—
978#468—731no—
979#467—731no—
980#466—731no—
981#466—731no—
982#465—731no—
983#464—731no—
984#464—731no—
985#464—731no—
986#463—731no—
987#463—731no—
988#463—731no—
989#463—731no—
990#463—731no—
991#460—731no—
992#459—731no—
993#452—731no—
994#450—731no—
995#450—731no—
996#449—731no—
997#447—731no—
998#447—731no—
999#446—731no—
1000C8×Q8—731no—
1001#442—731no—
1002#442—731no—
1003#441—731no—
1004#440—731no—
1005C4×SD16—731no—
1006C4×SD16—731no—
1007C4×SD16—731no—
1008C4×SD16—731no—
1009C4×SD16—731no—
1010C4×D8—731no—
1011C4×D8—731no—
1012C4×D8—731no—
1013#436—731no—
1014#436—731no—
1015#436—731no—
1016#435—731no—
1017#435—731no—
1018C8×D4—731no—
1019#433—731no—
1020#433—731no—
1021#431—731no—
1022#428—731no—
1023#428—731no—
1024#428C2×D7311yescharacteristic, complemented
1025#428C2×D7311yescharacteristic, complemented
1026#427—731no—
1027C2×#107—731no—
1028#424—731no—
1029#424—731no—
1030#423C2×D7311yescharacteristic, complemented
1031#418—731no—
1032#418C2×D7311yescharacteristic
1033#418C2×D7311yescharacteristic
1034#417—731no—
1035#416—731no—
1036C2×#102—731no—
1037C2×#41—731no—
1038C2×#41—1461no—
1039C22×D4—731no—
1040C22×D4—1461no—
1041C22×D4C22×D7311yescharacteristic
1042C23×C4—21no—
1043C2×Q16—731no—
1044C2×SD16—731no—
1045C2×SD16—731no—
1046C2×SD16—731no—
1047C2×SD16—731no—
1048C2×D8—731no—
1049C2×D8—731no—
1050C2×D8—731no—
1051C2×M16—731no—
1052C2×M16—731no—
1053C2×M16C22×D7311yescharacteristic
1054C2×M16C22×D7311yescharacteristic
1055C22×C8—731no—
1056C22×C8—731no—
1057C4⋊Q8—731no—
1058C4⋊Q8—731no—
1059C4⋊Q8—731no—
1060C4⋊Q8—1461no—
1061C4⋊Q8—1461no—
1062C4⋊Q8—1461no—
1063C4⋊Q8C22×D7311yescharacteristic
1064C4⋊Q8C22×D7311yescharacteristic
1065#127—731no—
1066#126—731no—
1067#126—731no—
1068#126—1461no—
1069#126—1461no—
1070#126—1461no—
1071#126—1461no—
1072#126—1461no—
1073#126—1461no—
1074#126—1461no—
1075#126—1461no—
1076#126—1461no—
1077#126—1461no—
1078#126—1461no—
1079#126—1461no—
1080#126—1461no—
1081#125—731no—
1082#125—731no—
1083#125—731no—
1084#125—731no—
1085#125—731no—
1086#125—731no—
1087#125—1461no—
1088#125—1461no—
1089#125—1461no—
1090#125—1461no—
1091#125—1461no—
1092#125—1461no—
1093#125—1461no—
1094#125C22×D7311yescharacteristic
1095#125C22×D7311yescharacteristic
1096#124—731no—
1097#124—731no—
1098#124—731no—
1099#124—731no—
1100#124—1461no—
1101#124—1461no—
1102#124—1461no—
1103#124—1461no—
1104#124—1461no—
1105#124—1461no—
1106#124—1461no—
1107#123—731no—
1108#123—731no—
1109#123—1461no—
1110#123—1461no—
1111#123—1461no—
1112#123—1461no—
1113#123—1461no—
1114#123—1461no—
1115#123—1461no—
1116#123—1461no—
1117#123—1461no—
1118#123—1461no—
1119#123—1461no—
1120#123—1461no—
1121#123—1461no—
1122#123—1461no—
1123#123—1461no—
1124#123—1461no—
1125#123—1461no—
1126#123—1461no—
1127#123—1461no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—731no—
1131C22⋊Q8—731no—
1132C22⋊Q8—731no—
1133C22⋊Q8—731no—
1134C22⋊Q8—731no—
1135C22⋊Q8—731no—
1136C22⋊Q8—1461no—
1137C22⋊Q8—1461no—
1138C22⋊Q8—1461no—
1139C22⋊Q8—1461no—
1140C22⋊Q8—1461no—
1141C22⋊Q8—1461no—
1142C22⋊Q8—1461no—
1143C22⋊Q8—1461no—
1144C22⋊Q8—1461no—
1145C22⋊Q8—1461no—
1146C22⋊Q8—1461no—
1147C22⋊Q8—1461no—
1148C22⋊Q8—1461no—
1149C22⋊Q8—1461no—
1150#121—731no—
1151#121—731no—
1152#121—731no—
1153#121—731no—
1154#121—731no—
1155#121—731no—
1156#121—731no—
1157#121—731no—
1158#121—1461no—
1159#121—1461no—
1160#121—1461no—
1161#121—1461no—
1162#121—1461no—
1163#121—1461no—
1164#121—1461no—
1165#121—1461no—
1166#121—1461no—
1167#120—1461no—
1168#120—1461no—
1169#120—1461no—
1170#120—1461no—
1171C4×Q8—21no—
1172C4×Q8—21no—
1173C4×Q8—731no—
1174C4×Q8—731no—
1175C4×Q8—731no—
1176C4×Q8—731no—
1177C4×Q8—731no—
1178C4×Q8—731no—
1179C4×Q8—1461no—
1180C4×Q8—1461no—
1181C4×D4—21no—
1182C4×D4—21no—
1183C4×D4—731no—
1184C4×D4—731no—
1185C4×D4—731no—
1186C4×D4—731no—
1187C4×D4—731no—
1188C4×D4—731no—
1189C4×D4—731no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—1461no—
1194C4×D4—1461no—
1195C4×D4—1461no—
1196C4×D4—1461no—
1197C4×D4—1461no—
1198C4×D4—1461no—
1199C4×D4—1461no—
1200C4×D4—1461no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4C22×D7311yescharacteristic
1204C4×D4C22×D7311yescharacteristic
1205C4×D4C22×D7311yescharacteristic
1206C4×D4C22×D7311yescharacteristic
1207#117—731no—
1208#117—731no—
1209#117—731no—
1210#117—731no—
1211#117—731no—
1212#117—1461no—
1213#117—1461no—
1214#117—1461no—
1215#117—1461no—
1216#117—1461no—
1217#117—1461no—
1218#117—1461no—
1219#117C22×D7311yescharacteristic
1220#117C22×D7311yescharacteristic
1221C2×C4⋊C4—731no—
1222C2×C4⋊C4—731no—
1223C2×C4⋊C4—731no—
1224C2×C4⋊C4—1461no—
1225C2×C4⋊C4—1461no—
1226C2×C4⋊C4—1461no—
1227C2×C4⋊C4C22×D7311yescharacteristic
1228C2×C22⋊C4—21no—
1229C2×C22⋊C4—1461no—
1230C2×C22⋊C4—1461no—
1231C2×C22⋊C4—1461no—
1232C2×C22⋊C4—1461no—
1233C2×C42C22×D7311yescharacteristic
1234#107—731no—
1235#107—731no—
1236#107—731no—
1237#107—731no—
1238#107—731no—
1239#107—731no—
1240#107—731no—
1241#107—731no—
1242#107C22×D7311yescharacteristic
1243#107C22×D7311yescharacteristic
1244#107C22×D7311yescharacteristic
1245#107C22×D7311yescharacteristic
1246#106—731no—
1247#106—731no—
1248#106—731no—
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106—731no—
1254#106C22×D7311yescharacteristic
1255#106C22×D7311yescharacteristic
1256#106C22×D7311yescharacteristic
1257#106C22×D7311yescharacteristic
1258C4⋊C8—731no—
1259C4⋊C8—731no—
1260C4⋊C8—731no—
1261C4⋊C8—731no—
1262C4⋊C8—731no—
1263C4⋊C8—731no—
1264C4⋊C8C22×D7311yescharacteristic
1265C4⋊C8C22×D7311yescharacteristic
1266C4⋊C8C22×D7311yescharacteristic
1267C4⋊C8C22×D7311yescharacteristic
1268#103—731no—
1269#103—731no—
1270#103—731no—
1271#103—731no—
1272#103—731no—
1273#103—731no—
1274#103—731no—
1275#103—731no—
1276#103—731no—
1277#103—731no—
1278#102—731no—
1279#102—731no—
1280#102—731no—
1281#102—731no—
1282#102—731no—
1283#102—731no—
1284#102—731no—
1285#102—731no—
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#102C22×D7311yescharacteristic
1293#102C22×D7311yescharacteristic
1294#102C22×D7311yescharacteristic
1295#102C22×D7311yescharacteristic
1296#102C22×D7311yescharacteristic
1297#102C22×D7311yescharacteristic
1298#102C22×D7311yescharacteristic
1299#102C22×D7311yescharacteristic
1300C22⋊C8—731no—
1301C22⋊C8—731no—
1302C22⋊C8—731no—
1303C22⋊C8—731no—
1304C22⋊C8—731no—
1305C22⋊C8—731no—
1306#97—731no—
1307#97—731no—
1308C4×C8—731no—
1309C4×C8—731no—
1310C4×C8—731no—
1311C4×C8—731no—
1312C24—21no—
1313C24—1461no—
1314#41—2921no—
1315#41—5842no—
1316#41—1462no—
1317C2×Q8—21no—
1318C2×Q8—21no—
1319C2×Q8—731no—
1320C2×Q8—731no—
1321C2×Q8—731no—
1322C2×Q8—1461no—
1323C2×Q8—1461no—
1324C2×Q8—1461no—
1325C2×D4—22no—
1326C2×D4—21no—
1327C2×D4—41no—
1328C2×D4—2921no—
1329C2×D4—5842no—
1330C2×D4—731no—
1331C2×D4—731no—
1332C2×D4—731no—
1333C2×D4—731no—
1334C2×D4—731no—
1335C2×D4—1461no—
1336C2×D4—1461no—
1337C2×D4—1461no—
1338C2×D4—1461no—
1339C2×D4—1461no—
1340C2×D4—1461no—
1341C2×D4—1461no—
1342C2×D4—1461no—
1343C2×D4—1462no—
1344C2×D4—1461no—
1345C2×D4—1461no—
1346C2×D4—1461no—
1347C2×D4C23×D7311yescharacteristic
1348C2×D4C23×D7311yescharacteristic
1349C22×C4—21no—
1350C22×C4—21no—
1351C22×C4—21no—
1352C22×C4—21no—
1353C22×C4—21no—
1354C22×C4—82no—
1355C22×C4—731no—
1356C22×C4—731no—
1357C22×C4—1461no—
1358C22×C4—1461no—
1359C22×C4—1461no—
1360C22×C4—1461no—
1361C22×C4—1461no—
1362C22×C4—1461no—
1363C22×C4—1461no—
1364C22×C4—1461no—
1365C22×C4—1461no—
1366C22×C4—1461no—
1367C22×C4—1461no—
1368C22×C4D4×D7311yescharacteristic
1369C22×C4D4×D7311yescharacteristic
1370C22×C4C23×D7311yescharacteristic
1371Q16—2921no—
1372SD16—2921no—
1373SD16—2921no—
1374SD16—2921no—
1375SD16—1462no—
1376D8—2921no—
1377D8—2921no—
1378D8—1462no—
1379M16—41no—
1380M16—41no—
1381M16—2921no—
1382M16—2921no—
1383C2×C8—2921no—
1384C2×C8—2921no—
1385C2×C8—731no—
1386C2×C8—731no—
1387C2×C8—731no—
1388C2×C8—731no—
1389C2×C8C23×D7311yescharacteristic
1390C2×C8C23×D7311yescharacteristic
1391C2×C8C23×D7311yescharacteristic
1392C2×C8C23×D7311yescharacteristic
1393C4⋊C4—21no—
1394C4⋊C4—21no—
1395C4⋊C4—21no—
1396C4⋊C4—21no—
1397C4⋊C4—21no—
1398C4⋊C4—21no—
1399C4⋊C4—21no—
1400C4⋊C4—731no—
1401C4⋊C4—731no—
1402C4⋊C4—731no—
1403C4⋊C4—731no—
1404C4⋊C4—731no—
1405C4⋊C4—731no—
1406C4⋊C4—731no—
1407C4⋊C4—731no—
1408C4⋊C4—731no—
1409C4⋊C4—731no—
1410C4⋊C4—731no—
1411C4⋊C4—731no—
1412C4⋊C4—731no—
1413C4⋊C4—731no—
1414C4⋊C4—1461no—
1415C4⋊C4—1461no—
1416C4⋊C4—1461no—
1417C4⋊C4—1461no—
1418C4⋊C4—1461no—
1419C4⋊C4—1461no—
1420C4⋊C4—1461no—
1421C4⋊C4—1461no—
1422C4⋊C4—1461no—
1423C4⋊C4—1461no—
1424C4⋊C4—1461no—
1425C4⋊C4—1461no—
1426C4⋊C4—1461no—
1427C4⋊C4—1461no—
1428C4⋊C4—1461no—
1429C4⋊C4—1461no—
1430C4⋊C4—1461no—
1431C4⋊C4—1461no—
1432C4⋊C4—1461no—
1433C4⋊C4—1461no—
1434C4⋊C4—1461no—
1435C4⋊C4—1461no—
1436C4⋊C4—1461no—
1437C4⋊C4—1461no—
1438C4⋊C4—1461no—
1439C4⋊C4—1461no—
1440C4⋊C4C23×D7311yescharacteristic
1441C4⋊C4C23×D7311yescharacteristic
1442C4⋊C4C23×D7311yescharacteristic
1443C4⋊C4C23×D7311yescharacteristic
1444C4⋊C4C23×D7311yescharacteristic
1445C4⋊C4C23×D7311yescharacteristic
1446C22⋊C4—21no—
1447C22⋊C4—21no—
1448C22⋊C4—21no—
1449C22⋊C4—21no—
1450C22⋊C4—21no—
1451C22⋊C4—21no—
1452C22⋊C4—731no—
1453C22⋊C4—731no—
1454C22⋊C4—731no—
1455C22⋊C4—731no—
1456C22⋊C4—731no—
1457C22⋊C4—731no—
1458C22⋊C4—731no—
1459C22⋊C4—731no—
1460C22⋊C4—731no—
1461C22⋊C4—731no—
1462C22⋊C4—1461no—
1463C22⋊C4—1461no—
1464C22⋊C4—1461no—
1465C22⋊C4—1461no—
1466C22⋊C4—1461no—
1467C22⋊C4—1461no—
1468C22⋊C4—1461no—
1469C22⋊C4—1461no—
1470C22⋊C4—1461no—
1471C22⋊C4—1461no—
1472C22⋊C4—1461no—
1473C22⋊C4—1461no—
1474C22⋊C4—1461no—
1475C22⋊C4—1461no—
1476C22⋊C4—1461no—
1477C22⋊C4—1461no—
1478C22⋊C4—1461no—
1479C22⋊C4—1461no—
1480C22⋊C4—1461no—
1481C22⋊C4—1461no—
1482C22⋊C4—1461no—
1483C22⋊C4—1461no—
1484C22⋊C4—1461no—
1485C22⋊C4—1461no—
1486C22⋊C4—1461no—
1487C22⋊C4—1461no—
1488C22⋊C4—1461no—
1489C22⋊C4—1461no—
1490C42—21no—
1491C42—21no—
1492C42—731no—
1493C42—731no—
1494C42—1461no—
1495C42—1461no—
1496C42—1461no—
1497C42—1461no—
1498C42—1461no—
1499C42—1461no—
1500C42—1461no—
1501C42—1461no—
1502C42D4×D7311yescharacteristic
1503C42D4×D7311yescharacteristic
1504C42C23×D7311yescharacteristic
1505C42C23×D7311yescharacteristic
1506C23—21no—
1507C23—21no—
1508C23—42no—
1509C23—42no—
1510C23—81no—
1511C23—2922no—
1512C23—5841no—
1513C23—5841no—
1514C23—731no—
1515C23—731no—
1516C23—1461no—
1517C23—1461no—
1518C23C2×D4×D7311yescharacteristic
1519Q8—81no—
1520Q8—81no—
1521Q8—2921no—
1522Q8—5841no—
1523Q8—5841no—
1524Q8—5841no—
1525Q8—1461no—
1526Q8—1461no—
1527Q8—1461no—
1528Q8—1461no—
1529D4—21no—
1530D4—21no—
1531D4—21no—
1532D4—42no—
1533D4—2921no—
1534D4—2922no—
1535D4—2922no—
1536D4—2922no—
1537D4—2921no—
1538D4—2921no—
1539D4—5841no—
1540D4—5841no—
1541D4—5841no—
1542D4—5841no—
1543D4—5841no—
1544D4—5841no—
1545D4—5841no—
1546D4—5841no—
1547D4—1461no—
1548D4—1461no—
1549D4—1461no—
1550D4—1461no—
1551D4#1455663912yes—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—41no—
1561C2×C4—41no—
1562C2×C4—42no—
1563C2×C4—81no—
1564C2×C4—81no—
1565C2×C4—81no—
1566C2×C4—81no—
1567C2×C4—2922no—
1568C2×C4—5841no—
1569C2×C4—5841no—
1570C2×C4—5841no—
1571C2×C4—5841no—
1572C2×C4—5841no—
1573C2×C4—5841no—
1574C2×C4—5841no—
1575C2×C4—5841no—
1576C2×C4—5841no—
1577C2×C4—5841no—
1578C2×C4—731no—
1579C2×C4—731no—
1580C2×C4—731no—
1581C2×C4—731no—
1582C2×C4—731no—
1583C2×C4—731no—
1584C2×C4—1461no—
1585C2×C4—1461no—
1586C2×C4—1461no—
1587C2×C4—1461no—
1588C2×C4—1461no—
1589C2×C4—1461no—
1590C2×C4—1461no—
1591C2×C4—1461no—
1592C2×C4—1461no—
1593C2×C4—1461no—
1594C2×C4C2×D4×D7311yescharacteristic
1595C2×C4C2×D4×D7311yescharacteristic
1596C2×C4C2×D4×D7311yescharacteristic
1597C2×C4C2×D4×D7311yescharacteristic
1598C2×C4C2×D4×D7311yescharacteristic
1599C2×C4C24×D7311yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—1461no—
1605C8—1461no—
1606C8—1461no—
1607C8—1461no—
1608C22—21no—
1609C22—22no—
1610C22—21no—
1611C22—21no—
1612C22—41no—
1613C22—41no—
1614C22—41no—
1615C22—41no—
1616C22—41no—
1617C22—84no—
1618C22—2921no—
1619C22—2921no—
1620C22—2921no—
1621C22—2921no—
1622C22—2921no—
1623C22—2921no—
1624C22—11682no—
1625C22—1461no—
1626C22—1461no—
1627C22—1461no—
1628C22—1461no—
1629C22—1461no—
1630C22—1461no—
1631C22C22×D4×D7311yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—41no—
1641C4—41no—
1642C4—41no—
1643C4—2921no—
1644C4—2921no—
1645C4—2921no—
1646C4—2921no—
1647C4—2921no—
1648C4—2921no—
1649C4—1461no—
1650C4—1461no—
1651C4—1461no—
1652C4—1461no—
1653C4—1461no—
1654C4—1461no—
1655C4C2×#1455663911yescharacteristic
1656C4#1798942311yescharacteristic
1657C2—41no—
1658C2—42no—
1659C2—81no—
1660C2—2921no—
1661C2—2921no—
1662C2—5841no—
1663C2—5841no—
1664C2#2262360711yescharacteristic
1665C2#2262470411yescharacteristic
1666C2#2262470711yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3077C2
socleC22×C73C23×D4
hypercenter#3077D73
hypocenterC73#62175
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3077

Complements

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

NH ≅ G/Ntype
1. #22624580C2semidirect
2. #22623871C2semidirect
3. #22622889C2semidirect
4. #22622801C2semidirect
5. #22622697C2semidirect
6. #22622594C2semidirect
7. #22622522C2semidirect
8. #22622498C2semidirect
9. #22622487C2semidirect
10. #22622462C2semidirect
11. #22622372C2semidirect
12. #22622330C2semidirect
13. #22622158C2semidirect
14. #22622143C2semidirect
15. #22622129C2semidirect
16. #22622088C2semidirect
17. #22622073C2semidirect
18. #22621763C2semidirect
19. #22621391C2semidirect
20. #22621341C2semidirect
21. #22621332C2semidirect
22. #22621226C2semidirect
23. #22621191C2semidirect
24. #22621110C2semidirect
25. #22620213C2semidirect
26. #22620122C2semidirect
27. #22619978C2semidirect
28. #22619777C2semidirect
29. #22619757C2semidirect
30. #22619076C2semidirect
31. C73×#3077C2semidirect
35. #17989314C22semidirect
38. #17989300C22semidirect
40. #17989293C22semidirect
41. #17989290C22semidirect
46. #17989276C22semidirect
47. #17989275C22semidirect
56. #17989214C22semidirect
57. #17989214C22semidirect
58. #17989211C22semidirect
59. #17989211C22semidirect
70. #17989121C22semidirect
75. #17988995C22semidirect
76. #17988994C22semidirect
77. #17988988C22semidirect
78. #17988986C22semidirect
79. #17988986C22semidirect
80. #17988984C22semidirect
82. #17988945C22semidirect
83. #17988944C22semidirect
84. #17988944C22semidirect
85. #17988940C22semidirect
87. #17988931C22semidirect
88. #17988930C22semidirect
89. #17988928C22semidirect
90. #17988928C22semidirect
91. #17988922C22semidirect
92. #17988919C22semidirect
93. #17988919C22semidirect
94. #17988914C22semidirect
95. #17988914C22semidirect
99. #17988909C22semidirect
100. #17988907C22semidirect
101. #17988905C22semidirect
103. #17988904C22semidirect
104. #17988902C22semidirect
105. #17988897C22semidirect
106. #17988895C22semidirect
107. #17988895C22semidirect
108. #17988893C22semidirect
111. #17988888C22semidirect
112. #17988888C22semidirect
114. #17988887C22semidirect
115. #17988886C22semidirect
116. #17988886C22semidirect
117. #17988881C22semidirect
118. #17988881C22semidirect
119. #17988879C22semidirect
120. #17988876C22semidirect
121. #17988874C22semidirect
122. #17988869C22semidirect
123. #17988866C22semidirect
126. #17988864C22semidirect
127. #17988845C22semidirect
128. #17988841C22semidirect
130. #17988834C22semidirect
132. #17988833C22semidirect
134. #17988832C22semidirect
135. #17988829C22semidirect
137. #17988822C22semidirect
138. #17988817C22semidirect
139. #17988810C22semidirect
140. #17988810C22semidirect
141. #17988808C22semidirect
142. #17988803C22semidirect
143. #17988803C22semidirect
145. #17988802C22semidirect
146. #17988801C22semidirect
155. #17988714C22semidirect
156. #17988711C22semidirect
159. #17988693C22semidirect
160. #17988686C22semidirect
163. #17988674C22semidirect
165. C4×#11924016C22semidirect
166. #17988669C22semidirect
168. C4×#11924013C22semidirect
169. #17988664C22semidirect
171. #17988663C22semidirect
173. #17988656C22semidirect
174. #17988652C22semidirect
175. #17988647C22semidirect
176. #17988647C22semidirect
177. #17988640C22semidirect
178. #17988628C22semidirect
179. #17988626C22semidirect
180. #17988622C22semidirect
181. #107×D73C22semidirect
182. #17988612C22semidirect
183. #17988612C22semidirect
188. #533×C73C22semidirect
192. #478×C73C22semidirect
193. #478×C73C22semidirect
195. #476×C73C22semidirect
197. #474×C73C22semidirect
198. #428×C73C22semidirect
199. #428×C73C22semidirect
200. #423×C73C22semidirect
863. #3077D73semidirect
865. C73#62175semidirect
902. #533C2×D73semidirect
955. #478C2×D73semidirect
956. #478C2×D73semidirect
963. #476C2×D73semidirect
970. #474C2×D73semidirect
1024. #428C2×D73semidirect
1025. #428C2×D73semidirect
1030. #423C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226245802
#226238712
#226228892
#226228012
#226226972
#226225942
#226225222
#226224982
#226224872
#226224622
#226223722
#226223302
#226221582
#226221432
#226221292
#226220882
#226220732
#226217632
#226213912
#226213412
#226213322
#226212262
#226211912
#226211102
#226202132
#226201222
#226199782
#226197772
#226197572
#226190762
C73×#30772
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