Finite Group Databasebeta

← #33982969

Subgroups — #33982969

Order 18688.

1750 conjugacy classes of subgroups.

The subgroup lattice has 1680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624463C211yesmaximal, characteristic, complemented
2#22623976C211yesmaximal, characteristic, complemented
3#22622834C211yesmaximal, characteristic, complemented
4#22622827C211yesmaximal, characteristic, complemented
5#22622763C211yesmaximal, characteristic, complemented
6#22622756C211yesmaximal, characteristic, complemented
7#22622412C211yesmaximal, characteristic, complemented
8#22622405C211yesmaximal, characteristic, complemented
9#22622402C211yesmaximal, characteristic, complemented
10#22622286C211yesmaximal, characteristic, complemented
11#22622282C211yesmaximal, characteristic, complemented
12#22621905C211yesmaximal, characteristic, complemented
13#22621902C211yesmaximal, characteristic, complemented
14#22621898C211yesmaximal, characteristic, complemented
15#22621894C211yesmaximal, characteristic, complemented
16#22621779C211yesmaximal, characteristic, complemented
17#22621775C211yesmaximal, characteristic, complemented
18#22621349C211yesmaximal, characteristic, complemented
19#22621337C211yesmaximal, characteristic, complemented
20#22621242C211yesmaximal, characteristic, complemented
21#22621235C211yesmaximal, characteristic, complemented
22#22621230C211yesmaximal, characteristic, complemented
23#22621136C211yesmaximal, characteristic, complemented
24#22620133C211yesmaximal, characteristic, complemented
25#22620128C211yesmaximal, characteristic, complemented
26#22620019C211yesmaximal, characteristic, complemented
27#22619796C211yesmaximal, characteristic, complemented
28#22619792C211yesmaximal, characteristic, complemented
29C2×#17988890C211yesmaximal, characteristic, complemented
30#22619071C211yesmaximal, characteristic, complemented
31C73×#3346C211yesmaximal, characteristic, complemented
32#17989339—21no—
33#17989334—21no—
34#17989309C2211yescharacteristic
35#17989294C2211yescharacteristic, complemented
36#17989293C2211yescharacteristic, complemented
37#17989292C2211yescharacteristic
38#17989289C2211yescharacteristic, complemented
39#17989285C2211yescharacteristic
40#17989281C2211yescharacteristic, complemented
41#17989269—21no—
42#17989266—21no—
43#17989264—21no—
44#17989252C2211yescharacteristic
45#17989247—21no—
46#17989241—21no—
47#17989241C2211yescharacteristic
48#17989239C2211yescharacteristic
49#17989238C2211yescharacteristic
50#17989237—21no—
51#17989237C2211yescharacteristic
52#17989233C2211yescharacteristic
53#17989228C2211yescharacteristic
54#17989217C2211yescharacteristic, complemented
55#17989215C2211yescharacteristic, complemented
56#17989211C2211yescharacteristic
57#17989210C2211yescharacteristic
58#17989190C2211yescharacteristic, complemented
59#17989188C2211yescharacteristic, complemented
60#17989185—21no—
61#17989183—21no—
62#17989181—21no—
63#17989179—21no—
64#17989178—21no—
65#17989164—21no—
66#17989139C2211yescharacteristic
67#17989132C2211yescharacteristic
68#17989117C2211yescharacteristic
69C2×#14556582C2211yescharacteristic
70#17989096—21no—
71C22⋊Q8×D73—21no—
72#17989069C2211yescharacteristic
73#17989068C2211yescharacteristic
74C2×#14556553C2211yescharacteristic
75#17988995C2211yescharacteristic, complemented
76#17988995C2211yescharacteristic, complemented
77#17988995C2211yescharacteristic, complemented
78#17988984C2211yescharacteristic, complemented
79#17988983C2211yescharacteristic, complemented
80#17988954C2211yescharacteristic, complemented
81#17988954C2211yescharacteristic, complemented
82#17988948C2211yescharacteristic
83#17988947C2211yescharacteristic
84#17988944C2211yescharacteristic
85#17988943C2211yescharacteristic
86#17988930C2211yescharacteristic, complemented
87#17988922C2211yescharacteristic
88#17988919C2211yescharacteristic, complemented
89#17988918C2211yescharacteristic
90#17988915C2211yescharacteristic
91#17988915C2211yescharacteristic, complemented
92#17988914C2211yescharacteristic
93#17988911C2211yescharacteristic
94#17988907C2211yescharacteristic
95#17988906C2211yescharacteristic
96#17988905C2211yescharacteristic
97#17988905C2211yescharacteristic, complemented
98#17988904C2211yescharacteristic, complemented
99#17988902C2211yescharacteristic, complemented
100#17988893C2211yescharacteristic, complemented
101#17988893C2211yescharacteristic, complemented
102#17988893C2211yescharacteristic, complemented
103#17988892C2211yescharacteristic, complemented
104#17988892C2211yescharacteristic, complemented
105#17988890C2211yescharacteristic
106#17988890C2211yescharacteristic
107#17988890C2211yescharacteristic
108#17988890C2211yescharacteristic
109#17988890C2211yescharacteristic
110#17988890C2211yescharacteristic
111#17988890C2211yescharacteristic
112#17988890C2211yescharacteristic
113#17988890C2211yescharacteristic
114#17988884C2211yescharacteristic
115#17988878C2211yescharacteristic
116#17988876C2211yescharacteristic
117#17988876C2211yescharacteristic
118#17988876C2211yescharacteristic
119#17988876C2211yescharacteristic, complemented
120#17988875C2211yescharacteristic, complemented
121#17988875C2211yescharacteristic, complemented
122#17988874C2211yescharacteristic, complemented
123#17988872C2211yescharacteristic, complemented
124#17988871C2211yescharacteristic, complemented
125#17988871C2211yescharacteristic, complemented
126#17988870C2211yescharacteristic, complemented
127#17988866C2211yescharacteristic, complemented
128#17988840C2211yescharacteristic
129#17988839C2211yescharacteristic
130#17988834C2211yescharacteristic, complemented
131#17988824C2211yescharacteristic
132#17988821C2211yescharacteristic
133#17988818C2211yescharacteristic
134#17988818C2211yescharacteristic, complemented
135#17988816C2211yescharacteristic
136#17988815C2211yescharacteristic, complemented
137#17988814C2211yescharacteristic
138#17988805C2211yescharacteristic
139#17988804C2211yescharacteristic
140#17988803C2211yescharacteristic
141#17988802C2211yescharacteristic
142#17988791C2211yescharacteristic, complemented
143#17988790C2211yescharacteristic, complemented
144#17988786C2211yescharacteristic, complemented
145#17988785C2211yescharacteristic, complemented
146#17988781C2211yescharacteristic
147#17988781C2211yescharacteristic
148#17988735C2211yescharacteristic
149#17988734C2211yescharacteristic
150#17988731C2211yescharacteristic
151#17988730C2211yescharacteristic
152#17988723C2211yescharacteristic
153#17988720C2211yescharacteristic
154#17988715C2211yescharacteristic, complemented
155#17988714C2211yescharacteristic, complemented
156#17988700C2211yescharacteristic
157#17988698C2211yescharacteristic
158#17988698C2211yescharacteristic
159#17988696C2211yescharacteristic
160#17988696C2211yescharacteristic
161#17988696C2211yescharacteristic
162#17988686C2211yescharacteristic, complemented
163#17988678C2211yescharacteristic, complemented
164C4×#11924015C2211yescharacteristic, complemented
165#17988669C2211yescharacteristic
166C4×#11924013C2211yescharacteristic
167#17988658C2211yescharacteristic
168#17988656C2211yescharacteristic, complemented
169#17988655C2211yescharacteristic, complemented
170D4×#10596831C2211yescharacteristic
171#17988650C2211yescharacteristic
172#17988649C2211yescharacteristic, complemented
173#17988645C2211yescharacteristic, complemented
174#17988641C2211yescharacteristic
175#17988628C2211yescharacteristic, complemented
176C2×#14556522C2211yescharacteristic
177C2×#14556522C2211yescharacteristic, complemented
178#106×D73C2211yescharacteristic, complemented
179#17988615C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C2×#14556520C2211yescharacteristic
182#17988589C2211yescharacteristic
183#17988587C2211yescharacteristic
184#17988582C2211yescharacteristic
185#17988581C2211yescharacteristic
186C2×#14556513C2211yescharacteristic
187C2×#14556511C2211yescharacteristic
188#554×C73C2211yescharacteristic
189#553×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#484×C73C2211yescharacteristic
193#481×C73C2211yescharacteristic
194#480×C73C2211yescharacteristic, complemented
195#479×C73C2211yescharacteristic, complemented
196#474×C73C2211yescharacteristic, complemented
197#468×C73C2211yescharacteristic, complemented
198#465×C73C2211yescharacteristic
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic
201#428×C73C2211yescharacteristic, complemented
202C2×#107×C73C2211yescharacteristic
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C2×#11924027—21no—
208C2×#11924027—21no—
209C2×Q8×D73—21no—
210C22×D292C2311yescharacteristic
211C22×C4×D73—21no—
212C2×#11924017C2311yescharacteristic
213C2×#11924016C2311yescharacteristic
214C2×#11924015C2311yescharacteristic
215C2×D584C2311yescharacteristic
216C2×D584C2311yescharacteristic
217C2×#11924013C2311yescharacteristic
218C2×#11924013C2311yescharacteristic
219C2×#11924011C2311yescharacteristic
220C22×#10596831C2311yescharacteristic
221C22×#10596831C2311yescharacteristic
222C2×C8×D73C2311yescharacteristic
223#14556591—21no—
224#14556591C2311yescharacteristic
225#14556590—21no—
226#14556590C2311yescharacteristic
227#14556590C2311yescharacteristic
228#14556590C2311yescharacteristic
229#14556590C2311yescharacteristic
230#14556589C2311yescharacteristic
231#14556587C2311yescharacteristic
232#14556586—21no—
233#14556586—21no—
234#14556586—21no—
235#14556586—21no—
236#14556586D411yescharacteristic
237#14556585—21no—
238#14556585—21no—
239#14556584—21no—
240#14556584D411yescharacteristic
241#14556583—21no—
242#14556582—21no—
243#14556582—21no—
244#14556582C2311yescharacteristic
245#14556582C2311yescharacteristic
246#14556582C2311yescharacteristic
247#14556582C2311yescharacteristic
248#14556582C2311yescharacteristic
249#14556581—21no—
250#14556581—21no—
251#14556581—21no—
252#14556581D411yescharacteristic
253#14556580—21no—
254#14556580C2311yescharacteristic
255#14556579C2311yescharacteristic
256#14556577—21no—
257#14556577—21no—
258#14556577D411yescharacteristic
259#14556576—21no—
260#14556576—21no—
261#14556576—21no—
262#14556576—21no—
263#14556576—21no—
264#14556576—21no—
265#14556575—21no—
266#14556575—21no—
267#14556575—21no—
268#14556575—21no—
269#14556575D411yescharacteristic
270#14556574—21no—
271#14556574—21no—
272#14556573—21no—
273#14556573—21no—
274#14556573—21no—
275#14556573—21no—
276#14556573—21no—
277#14556573—21no—
278#14556572—21no—
279#14556572D411yescharacteristic
280#14556571—21no—
281#14556571—21no—
282#14556571—21no—
283#14556571—21no—
284#14556571C2311yescharacteristic
285#14556570—21no—
286#14556570—21no—
287#14556570C2311yescharacteristic
288#14556569—21no—
289#14556569—21no—
290#14556569—21no—
291#14556569—21no—
292#14556569—21no—
293#14556569—21no—
294#14556569—21no—
295#14556569—21no—
296#14556568—21no—
297#14556568—21no—
298#14556568—21no—
299#14556568—21no—
300#14556568—21no—
301#14556568—21no—
302#14556568D411yescharacteristic
303#14556567—21no—
304#14556567—21no—
305#14556566—21no—
306#14556566C2311yescharacteristic
307#14556566C2311yescharacteristic
308#14556565—21no—
309#14556565—21no—
310#14556565C2311yescharacteristic
311#14556565C2311yescharacteristic
312#14556565C2311yescharacteristic
313#14556564—21no—
314#14556564—21no—
315#14556564—21no—
316#14556564—21no—
317#14556563—21no—
318#14556563—21no—
319#14556563—21no—
320#14556563D411yescharacteristic
321#14556562—21no—
322#14556562C2311yescharacteristic
323#14556561—21no—
324#14556559—21no—
325Q8×Dic73C2311yescharacteristic
326C4×Dic146C2311yescharacteristic
327#14556556—21no—
328#14556556C2311yescharacteristic
329#14556556C2311yescharacteristic
330C4×D292—21no—
331C4×D292—21no—
332C4×D292C2311yescharacteristic
333C4×D292C2311yescharacteristic
334D4×Dic73—21no—
335D4×Dic73C2311yescharacteristic
336D4×Dic73C2311yescharacteristic
337#14556553—21no—
338#14556553—21no—
339#14556553—21no—
340#14556553C2311yescharacteristic
341#14556553C2311yescharacteristic
342#14556553C2311yescharacteristic
343#14556553C2311yescharacteristic
344#14556553C2311yescharacteristic
345#14556553C2311yescharacteristic
346#14556553C2311yescharacteristic
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#14556550C2311yescharacteristic
355#14556549—21no—
356#14556549C2311yescharacteristic
357#14556548—21no—
358#14556548—21no—
359#14556548C2311yescharacteristic
360#14556547—21no—
361C2×C4⋊Dic73—21no—
362C2×C4⋊Dic73—21no—
363C2×C4⋊Dic73C2311yescharacteristic
364C2×C4⋊Dic73C2311yescharacteristic
365C2×#11924007—21no—
366C4⋊C4×D73—21no—
367C4⋊C4×D73—21no—
368C4⋊C4×D73—21no—
369C4⋊C4×D73—21no—
370C4⋊C4×D73C2311yescharacteristic
371C4⋊C4×D73C2311yescharacteristic
372C2×#11924005—21no—
373C22⋊C4×D73—21no—
374C22⋊C4×D73—21no—
375C2×C4×Dic73C2311yescharacteristic
376#14556524C2311yescharacteristic
377#14556524C2311yescharacteristic
378#14556523C2311yescharacteristic
379#14556523C2311yescharacteristic
380#14556523C2311yescharacteristic
381#14556522C2311yescharacteristic
382#14556522C2311yescharacteristic
383#14556522C2311yescharacteristic
384#14556522C2311yescharacteristic
385#14556522C2311yescharacteristic
386#14556522C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391C4⋊#10596831C2311yescharacteristic
392#14556520C2311yescharacteristic
393#14556520C2311yescharacteristic
394#14556520C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556516C2311yescharacteristic
401#14556516C2311yescharacteristic
402#14556516C2311yescharacteristic
403#14556515C2311yescharacteristic
404#14556515C2311yescharacteristic
405#14556515C2311yescharacteristic
406#14556514C2311yescharacteristic
407#14556514C2311yescharacteristic
408#14556514C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556512C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423#14556511C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426C22⋊#10596831C2311yescharacteristic
427C22⋊#10596831C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556503C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C4×#10596831C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C2×SD16×C73C2311yescharacteristic
436C2×M16×C73C2311yescharacteristic
437C22×C8×C73C2311yescharacteristic
438C4⋊Q8×C73C2311yescharacteristic
439#126×C73—21no—
440#125×C73—21no—
441#125×C73C2311yescharacteristic
442#123×C73—21no—
443C22⋊Q8×C73—21no—
444C22⋊Q8×C73—21no—
445C22⋊Q8×C73C2311yescharacteristic
446C22⋊Q8×C73C2311yescharacteristic
447#121×C73—21no—
448#121×C73C2311yescharacteristic
449#121×C73C2311yescharacteristic
450C4×Q8×C73C2311yescharacteristic
451C4×D4×C73—21no—
452C4×D4×C73—21no—
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455#117×C73C2311yescharacteristic
456C2×C4⋊C4×C73C2311yescharacteristic
457C2×C4⋊C4×C73C2311yescharacteristic
458C2×C4⋊C4×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#107×C73C2311yescharacteristic
464#107×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467#106×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#103×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476C22⋊C8×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478C23×D73—21no—
479#11924029—22no—
480#11924029—41no—
481#11924028—22no—
482#11924028—41no—
483#11924028—82no—
484#11924027—82no—
485#11924027—82no—
486#11924027—82no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146C2×D411yescharacteristic
493C2×Dic146C2411yescharacteristic
494Q8×D73—82no—
495C2×D292—22no—
496C2×D292—21no—
497C2×D292—21no—
498C2×D292—21no—
499C2×D292—21no—
500C2×D292—41no—
501C2×D292C2411yescharacteristic
502C2×D292C2411yescharacteristic
503C2×D292C2411yescharacteristic
504C2×C22⋊D73—21no—
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⋊D73C2×D411yescharacteristic
512C2×C22⋊D73C2×D411yescharacteristic
513C22×Dic73—21no—
514C22×Dic73—21no—
515C22×Dic73—21no—
516C22×Dic73—21no—
517C22×Dic73C2×D411yescharacteristic
518C22×Dic73C2×D411yescharacteristic
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—21no—
524C2×C4×D73—21no—
525C2×C4×D73—21no—
526C2×C4×D73—21no—
527C2×C4×D73—21no—
528C2×C4×D73—21no—
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73—21no—
532C2×C4×D73—82no—
533C2×C4×D73C2411yescharacteristic
534#11924017—41no—
535#11924016—41no—
536#11924015—41no—
537D584—22no—
538D584—41no—
539#11924013—22no—
540#11924013—41no—
541#11924011—41no—
542C2×#10596831—41no—
543C2×#10596831—41no—
544C2×#10596831C2411yescharacteristic
545C2×#10596831C2411yescharacteristic
546C2×#10596831C2411yescharacteristic
547C2×#10596831C2411yescharacteristic
548C8×D73—41no—
549C4⋊Dic73—21no—
550C4⋊Dic73—21no—
551C4⋊Dic73—21no—
552C4⋊Dic73—21no—
553C4⋊Dic73—21no—
554C4⋊Dic73—21no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73C2×D411yescharacteristic
560C4⋊Dic73C2×D411yescharacteristic
561C4⋊Dic73C2×D411yescharacteristic
562C4⋊Dic73C2411yescharacteristic
563C4⋊Dic73C2411yescharacteristic
564C4⋊Dic73C2411yescharacteristic
565C4⋊Dic73C2411yescharacteristic
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007C2×D411yescharacteristic
583#11924007C2×D411yescharacteristic
584#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73C2×D411yescharacteristic
593C22⋊Dic73C2×D411yescharacteristic
594C22⋊Dic73C2×D411yescharacteristic
595C22⋊Dic73C2×D411yescharacteristic
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#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#11924005C2×D411yescharacteristic
617#11924005C2×D411yescharacteristic
618#11924005C2×D411yescharacteristic
619#11924005C2×D411yescharacteristic
620C4×Dic73—21no—
621C4×Dic73—21no—
622C4×Dic73—21no—
623C4×Dic73—21no—
624C4×Dic73C2×D411yescharacteristic
625C4×Dic73C2×D411yescharacteristic
626C4×Dic73C2411yescharacteristic
627C4×Dic73C2411yescharacteristic
628C4×Dic73C2411yescharacteristic
629C2×Q8×C73—21no—
630C2×Q8×C73C2411yescharacteristic
631C2×D4×C73—21no—
632C2×D4×C73—21no—
633C2×D4×C73C2×D411yescharacteristic
634C2×D4×C73C2411yescharacteristic
635C22×C4×C73—21no—
636C22×C4×C73—21no—
637C22×C4×C73—21no—
638C22×C4×C73—21no—
639C22×C4×C73C2411yescharacteristic
640C22×C4×C73C2411yescharacteristic
641SD16×C73—41no—
642M16×C73—41no—
643C2×C8×C73—41no—
644C2×C8×C73C2411yescharacteristic
645C2×C8×C73C2411yescharacteristic
646C2×C8×C73C2411yescharacteristic
647C2×C8×C73C2411yescharacteristic
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×C73—21no—
655C4⋊C4×C73—21no—
656C4⋊C4×C73—21no—
657C4⋊C4×C73C2×D411yescharacteristic
658C4⋊C4×C73C2411yescharacteristic
659C4⋊C4×C73C2411yescharacteristic
660C4⋊C4×C73C2411yescharacteristic
661C4⋊C4×C73C2411yescharacteristic
662C4⋊C4×C73C2411yescharacteristic
663C4⋊C4×C73C2411yescharacteristic
664C22⋊C4×C73—21no—
665C22⋊C4×C73—21no—
666C22⋊C4×C73—21no—
667C22⋊C4×C73—21no—
668C22⋊C4×C73—21no—
669C22⋊C4×C73—21no—
670C22⋊C4×C73C2×D411yescharacteristic
671C22⋊C4×C73C2×D411yescharacteristic
672C42×C73—21no—
673C42×C73—21no—
674C42×C73C2411yescharacteristic
675C23×C73—21no—
676C23×C73C22×D411yescharacteristic
677C23×C73C22×D411yescharacteristic
678C22×D73—21no—
679C22×D73—21no—
680C22×D73—21no—
681C22×D73—42no—
682C22×D73—42no—
683C22×D73—81no—
684C22×D73C22×D411yescharacteristic
685Q8×C73—21no—
686Q8×C73—21no—
687Q8×C73—81no—
688D4×C73—22no—
689D4×C73—21no—
690D4×C73—21no—
691D4×C73—42no—
692D4×C73—81no—
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—21no—
701C2×C4×C73—21no—
702C2×C4×C73—21no—
703C2×C4×C73—21no—
704C2×C4×C73—81no—
705C2×C4×C73—81no—
706C2×C4×C73—81no—
707C2×C4×C73—81no—
708C2×C4×C73C22×D411yescharacteristic
709C2×C4×C73C22×D411yescharacteristic
710C2×C4×C73C22×D411yescharacteristic
711C2×C4×C73C22×D411yescharacteristic
712C2×C4×C73C2511yescharacteristic
713C22⋊D73—22no—
714C22⋊D73—41no—
715C22⋊D73—42no—
716C22⋊D73—42no—
717C22⋊D73—81no—
718C22⋊D73—81no—
719C22⋊D73—81no—
720C22⋊D73—81no—
721C22⋊D73—81no—
722C2×Dic73—22no—
723C2×Dic73—21no—
724C2×Dic73—21no—
725C2×Dic73—21no—
726C2×Dic73—21no—
727C2×Dic73—21no—
728C2×Dic73—41no—
729C2×Dic73—42no—
730C2×Dic73—81no—
731C2×Dic73—81no—
732C2×Dic73—81no—
733C2×Dic73C22×D411yescharacteristic
734C2×Dic73C22×D411yescharacteristic
735C2×Dic73C22×D411yescharacteristic
736C2×Dic73C22×D411yescharacteristic
737C2×Dic73C22×D411yescharacteristic
738C2×Dic73C22×D411yescharacteristic
739C2×Dic73C22×D411yescharacteristic
740D292—21no—
741D292—21no—
742D292—21no—
743D292—21no—
744D292—21no—
745D292—42no—
746D292—42no—
747D292—81no—
748D292—81no—
749D2922−1+412yes—
750C4×D73—21no—
751C4×D73—21no—
752C4×D73—42no—
753C4×D73—42no—
754C4×D73—42no—
755C4×D73—42no—
756C4×D73—81no—
757C4×D73—81no—
758C4×D73—81no—
759C4×D73—81no—
760C4×D73—81no—
761C4×D73—81no—
762C4×D73—81no—
763C4×D73—81no—
764C4×D73—81no—
765Dic146—21no—
766Dic146—21no—
767Dic146—41no—
768Dic146—42no—
769Dic146—81no—
770Dic146—81no—
771Dic146—81no—
772Dic146—81no—
773C8×C73—21no—
774C8×C73—21no—
775C8×C73—21no—
776C8×C73—21no—
777#10596831—21no—
778#10596831—21no—
779#10596831—21no—
780#10596831—21no—
781C22×C73—21no—
782C22×C73—21no—
783C22×C73—21no—
784C22×C73—21no—
785C22×C73—21no—
786C22×C73—41no—
787C22×C73—41no—
788C22×C73—41no—
789C22×C73#57712yes—
790C22×C73C23×D411yescharacteristic
791C2×D73—21no—
792C2×D73—21no—
793C2×D73—22no—
794C2×D73—21no—
795C2×D73—41no—
796C2×D73—41no—
797C2×D73—41no—
798C2×D73—41no—
799C2×D73—41no—
800C2×D73—41no—
801C2×D73—41no—
802C2×D73—41no—
803C2×D73—84no—
804C4×C73—21no—
805C4×C73—21no—
806C4×C73—21no—
807C4×C73—21no—
808C4×C73—41no—
809C4×C73—41no—
810C4×C73—41no—
811C4×C73—41no—
812C4×C73—41no—
813C4×C73—41no—
814C4×C73—41no—
815C4×C73C2×2−1+411yescharacteristic
816C4×C73#58511yescharacteristic
817Dic73—21no—
818Dic73—21no—
819Dic73—21no—
820Dic73—21no—
821Dic73—21no—
822Dic73—21no—
823Dic73—21no—
824Dic73—41no—
825Dic73—41no—
826Dic73—41no—
827Dic73—41no—
828Dic73—41no—
829#62166—731nomaximal, Sylow
830C2×C73—22no—
831C2×C73—41no—
832C2×C73—81no—
833C2×C73#348911yescharacteristic
834C2×C73C2×#57711yescharacteristic
835C2×C73#358511yescharacteristic
836D73—41no—
837D73—42no—
838D73—81no—
839D73—81no—
840#3559—731no—
841#3520—731no—
842#3384—731no—
843#3384—731no—
844#3376—731no—
845#3376—731no—
846#3346—731no—
847#3346D7311yescharacteristic, complemented
848#3345—731no—
849#3345—731no—
850#3335—731no—
851#3335—731no—
852#3307—731no—
853#3307—731no—
854#3306—731no—
855#3306—731no—
856#3297—731no—
857#3297—731no—
858#3257—731no—
859#3257—731no—
860#3246—731no—
861#3244—731no—
862#3244—731no—
863#3236—731no—
864#3119—731no—
865#3119—731no—
866#3109—731no—
867#3084—731no—
868#3084—731no—
869C2×#478—731no—
870#2992—731no—
871C73#6216611yescharacteristic, complemented, Sylow
872#563—1461no—
873#562—1461no—
874#556—731no—
875#554—731no—
876#554—731no—
877#554—731no—
878#554C2×D7311yescharacteristic
879#553—731no—
880#553—731no—
881#553—731no—
882#553C2×D7311yescharacteristic
883#552—1461no—
884#551—1461no—
885#551—1461no—
886D4×Q8—731no—
887#548—1461no—
888#547—731no—
889#547—731no—
890#547—731no—
891#547—731no—
892#547—1461no—
893#547—1461no—
894#546—731no—
895#546—731no—
896#544—731no—
897#544—731no—
898#542—731no—
899#542—731no—
900#540—731no—
901#540—731no—
902#539—1461no—
903#539—1461no—
904#539—1461no—
905#539—1461no—
906#539—1461no—
907#537—1461no—
908#533—731no—
909#532—731no—
910#529—731no—
911C2×#125—731no—
912#525—1461no—
913C2×C22⋊Q8—1461no—
914#520—731no—
915#520—731no—
916C2×C4×D4—731no—
917#501—731no—
918#501—731no—
919#501—731no—
920#501C2×D7311yescharacteristic, complemented
921#498—731no—
922#498—731no—
923#491—731no—
924#491—731no—
925#489—731no—
926#489—731no—
927#488—731no—
928#488—731no—
929#485—731no—
930#485C2×D7311yescharacteristic, complemented
931#484—731no—
932#484C2×D7311yescharacteristic
933#483—731no—
934#483—731no—
935#483—731no—
936#483—731no—
937#482—731no—
938#482—731no—
939#481—731no—
940#481—731no—
941#481—731no—
942#481—731no—
943#481—731no—
944#481C2×D7311yescharacteristic
945#480—731no—
946#480C2×D7311yescharacteristic, complemented
947#479—731no—
948#479—731no—
949#479—731no—
950#479—731no—
951#479—731no—
952#479C2×D7311yescharacteristic, complemented
953#478—731no—
954#478—731no—
955#478—731no—
956#478—731no—
957#478—731no—
958#478—731no—
959#478—731no—
960#478—731no—
961#478—731no—
962#478—731no—
963#476—731no—
964#476—731no—
965#476—731no—
966#476—731no—
967#476—731no—
968#476—731no—
969#476—731no—
970#476—731no—
971#475—731no—
972#475—731no—
973#475—731no—
974#475—731no—
975#474—731no—
976#474C2×D7311yescharacteristic, complemented
977#469—731no—
978#469—731no—
979#468—731no—
980#468C2×D7311yescharacteristic, complemented
981#466—731no—
982#466—731no—
983#465—731no—
984#465—731no—
985#465—731no—
986#465—731no—
987#465—731no—
988#465C2×D7311yescharacteristic
989#463—731no—
990#463—731no—
991#463—731no—
992#463—731no—
993#461—731no—
994#461—731no—
995#460—731no—
996#460—731no—
997#459—731no—
998#459—731no—
999#449—731no—
1000#449—731no—
1001#449—731no—
1002#449—731no—
1003#447—731no—
1004#447—731no—
1005#446—731no—
1006#446—731no—
1007#442—731no—
1008#442—731no—
1009#442—731no—
1010#442—731no—
1011#442—731no—
1012#442—731no—
1013#440—731no—
1014#440C2×D7311yescharacteristic, complemented
1015C4×SD16—731no—
1016C4×SD16—731no—
1017C4×D8—731no—
1018C4×D8—731no—
1019#435—731no—
1020#435—731no—
1021#435—731no—
1022#435C2×D7311yescharacteristic
1023C8×D4—731no—
1024C8×D4—731no—
1025#433—731no—
1026#433—731no—
1027#432—731no—
1028#428—731no—
1029#428C2×D7311yescharacteristic, complemented
1030C2×#107C2×D7311yescharacteristic
1031C2×#106—731no—
1032C2×#106—731no—
1033C2×#106—731no—
1034#424—731no—
1035#424—731no—
1036C2×C4⋊C8—731no—
1037#417—731no—
1038#417—731no—
1039#416—731no—
1040#416—731no—
1041C2×#102—731no—
1042C2×#102—731no—
1043C2×#41—731no—
1044C2×#41—731no—
1045C2×#41—1461no—
1046C2×#41—1461no—
1047C2×#41—1461no—
1048C2×#41—1461no—
1049C22×Q8—1461no—
1050C22×D4—731no—
1051C23×C4—1461no—
1052C2×SD16—731no—
1053C2×SD16—731no—
1054C2×SD16—731no—
1055C2×SD16C22×D7311yescharacteristic
1056C2×D8—731no—
1057C2×D8—731no—
1058C2×D8—731no—
1059C2×D8—731no—
1060C2×M16—731no—
1061C2×M16C22×D7311yescharacteristic
1062C22×C8—731no—
1063C22×C8—731no—
1064C22×C8—731no—
1065C22×C8C22×D7311yescharacteristic
1066C4⋊Q8—731no—
1067C4⋊Q8—731no—
1068C4⋊Q8—731no—
1069C4⋊Q8—731no—
1070C4⋊Q8—731no—
1071C4⋊Q8—731no—
1072C4⋊Q8—1461no—
1073C4⋊Q8—1461no—
1074C4⋊Q8C22×D7311yescharacteristic
1075#127—731no—
1076#126—21no—
1077#126—731no—
1078#126—731no—
1079#126—1461no—
1080#126—1461no—
1081#126—1461no—
1082#126—1461no—
1083#126—1461no—
1084#126—1461no—
1085#126—1461no—
1086#125—21no—
1087#125—731no—
1088#125—731no—
1089#125—731no—
1090#125—731no—
1091#125—731no—
1092#125—731no—
1093#125—1461no—
1094#125—1461no—
1095#125—1461no—
1096#125—1461no—
1097#125—1461no—
1098#125—1461no—
1099#125C22×D7311yescharacteristic
1100#124—731no—
1101#124—731no—
1102#124—731no—
1103#124—1461no—
1104#124—1461no—
1105#124—1461no—
1106#123—21no—
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—1461no—
1134C22⋊Q8—1461no—
1135C22⋊Q8—1461no—
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—
1150C22⋊Q8—1461no—
1151C22⋊Q8—1461no—
1152C22⋊Q8—1461no—
1153C22⋊Q8—1461no—
1154C22⋊Q8—1461no—
1155C22⋊Q8C22×D7311yescharacteristic
1156C22⋊Q8C22×D7311yescharacteristic
1157#121—21no—
1158#121—731no—
1159#121—731no—
1160#121—731no—
1161#121—731no—
1162#121—731no—
1163#121—731no—
1164#121—731no—
1165#121—1461no—
1166#121—1461no—
1167#121—1461no—
1168#121—1461no—
1169#121—1461no—
1170#121—1461no—
1171#121—1461no—
1172#121—1461no—
1173#121—1461no—
1174#121—1461no—
1175#121—1461no—
1176#121C22×D7311yescharacteristic
1177#121C22×D7311yescharacteristic
1178#120—1461no—
1179#120—1461no—
1180C4×Q8—731no—
1181C4×Q8—731no—
1182C4×Q8—731no—
1183C4×Q8—731no—
1184C4×Q8—1461no—
1185C4×Q8C22×D7311yescharacteristic
1186C4×D4—21no—
1187C4×D4—21no—
1188C4×D4—731no—
1189C4×D4—731no—
1190C4×D4—731no—
1191C4×D4—731no—
1192C4×D4—731no—
1193C4×D4—731no—
1194C4×D4—731no—
1195C4×D4—731no—
1196C4×D4—731no—
1197C4×D4—731no—
1198C4×D4—731no—
1199C4×D4—731no—
1200C4×D4—731no—
1201C4×D4—1461no—
1202C4×D4—1461no—
1203C4×D4—1461no—
1204C4×D4—1461no—
1205C4×D4—1461no—
1206C4×D4—1461no—
1207C4×D4—1461no—
1208C4×D4—1461no—
1209C4×D4—1461no—
1210C4×D4—1461no—
1211C4×D4—1461no—
1212C4×D4C22×D7311yescharacteristic
1213C4×D4C22×D7311yescharacteristic
1214#117—731no—
1215#117—731no—
1216#117—731no—
1217#117—1461no—
1218#117—1461no—
1219#117—1461no—
1220#117—1461no—
1221#117C22×D7311yescharacteristic
1222C2×C4⋊C4—731no—
1223C2×C4⋊C4—731no—
1224C2×C4⋊C4—731no—
1225C2×C4⋊C4—731no—
1226C2×C4⋊C4—1461no—
1227C2×C4⋊C4—1461no—
1228C2×C4⋊C4—1461no—
1229C2×C4⋊C4—1461no—
1230C2×C4⋊C4—1461no—
1231C2×C4⋊C4—1461no—
1232C2×C4⋊C4—1461no—
1233C2×C4⋊C4C22×D7311yescharacteristic
1234C2×C4⋊C4C22×D7311yescharacteristic
1235C2×C4⋊C4C22×D7311yescharacteristic
1236C2×C22⋊C4—1461no—
1237C2×C22⋊C4—1461no—
1238C2×C22⋊C4—1461no—
1239C2×C42—731no—
1240#107—731no—
1241#107—731no—
1242#107C22×D7311yescharacteristic
1243#107C22×D7311yescharacteristic
1244#107C22×D7311yescharacteristic
1245#107C22×D7311yescharacteristic
1246#107C22×D7311yescharacteristic
1247#107C22×D7311yescharacteristic
1248#106—731no—
1249#106—731no—
1250#106—731no—
1251#106—731no—
1252#106—731no—
1253#106—731no—
1254#106—731no—
1255#106—731no—
1256#106—731no—
1257#106—731no—
1258#106—731no—
1259#106—731no—
1260#106—731no—
1261#106C22×D7311yescharacteristic
1262#106C22×D7311yescharacteristic
1263#106C22×D7311yescharacteristic
1264C4⋊C8—731no—
1265C4⋊C8—731no—
1266C4⋊C8—731no—
1267C4⋊C8—731no—
1268C4⋊C8—731no—
1269C4⋊C8—731no—
1270C4⋊C8—731no—
1271C4⋊C8—731no—
1272C4⋊C8—731no—
1273C4⋊C8C22×D7311yescharacteristic
1274#103—731no—
1275#103—731no—
1276#103—731no—
1277#103—731no—
1278#103—731no—
1279#103—731no—
1280#103—731no—
1281#103—731no—
1282#103—731no—
1283#103C22×D7311yescharacteristic
1284#103C22×D7311yescharacteristic
1285#103C22×D7311yescharacteristic
1286#102—731no—
1287#102—731no—
1288#102—731no—
1289#102—731no—
1290#102—731no—
1291#102—731no—
1292#102—731no—
1293#102—731no—
1294#102—731no—
1295#102—731no—
1296#102—731no—
1297#102—731no—
1298#102—731no—
1299#102—731no—
1300#102—731no—
1301#102—731no—
1302#102—731no—
1303#102C22×D7311yescharacteristic
1304#102C22×D7311yescharacteristic
1305#102C22×D7311yescharacteristic
1306C22⋊C8—731no—
1307C22⋊C8—731no—
1308C22⋊C8—731no—
1309C22⋊C8—731no—
1310C22⋊C8C22×D7311yescharacteristic
1311C22⋊C8C22×D7311yescharacteristic
1312#97—731no—
1313#97—731no—
1314#97—731no—
1315#97C22×D7311yescharacteristic
1316C4×C8—731no—
1317C4×C8—731no—
1318C24—1461no—
1319#41—2921no—
1320#41—2921no—
1321#41—5842no—
1322#41—5842no—
1323#41—5842no—
1324#41—5842no—
1325#41—1462no—
1326#41—1462no—
1327C2×Q8—21no—
1328C2×Q8—5842no—
1329C2×Q8—731no—
1330C2×Q8—731no—
1331C2×Q8—1461no—
1332C2×Q8—1461no—
1333C2×Q8—1461no—
1334C2×Q8—1461no—
1335C2×Q8—1461no—
1336C2×Q8C23×D7311yescharacteristic
1337C2×D4—21no—
1338C2×D4—21no—
1339C2×D4—2921no—
1340C2×D4—731no—
1341C2×D4—731no—
1342C2×D4—731no—
1343C2×D4—731no—
1344C2×D4—731no—
1345C2×D4—1461no—
1346C2×D4—1462no—
1347C2×D4—1461no—
1348C2×D4—1461no—
1349C2×D4—1461no—
1350C2×D4—1461no—
1351C2×D4—1461no—
1352C2×D4—1461no—
1353C2×D4—1461no—
1354C2×D4—1461no—
1355C2×D4—1461no—
1356C2×D4—1461no—
1357C2×D4D4×D7311yescharacteristic
1358C2×D4C23×D7311yescharacteristic
1359C22×C4—21no—
1360C22×C4—21no—
1361C22×C4—21no—
1362C22×C4—21no—
1363C22×C4—5842no—
1364C22×C4—731no—
1365C22×C4—731no—
1366C22×C4—731no—
1367C22×C4—1461no—
1368C22×C4—1461no—
1369C22×C4—1461no—
1370C22×C4—1461no—
1371C22×C4—1461no—
1372C22×C4—1461no—
1373C22×C4—1461no—
1374C22×C4—1461no—
1375C22×C4—1461no—
1376C22×C4—1461no—
1377C22×C4—1461no—
1378C22×C4—1461no—
1379C22×C4—1461no—
1380C22×C4—1461no—
1381C22×C4—1461no—
1382C22×C4—1461no—
1383C22×C4—1461no—
1384C22×C4C23×D7311yescharacteristic
1385C22×C4C23×D7311yescharacteristic
1386SD16—41no—
1387SD16—2921no—
1388SD16—2921no—
1389SD16—2921no—
1390D8—2921no—
1391D8—2921no—
1392D8—1462no—
1393D8—1462no—
1394M16—41no—
1395M16—2921no—
1396C2×C8—41no—
1397C2×C8—2921no—
1398C2×C8—2921no—
1399C2×C8—2921no—
1400C2×C8—731no—
1401C2×C8—731no—
1402C2×C8—731no—
1403C2×C8—731no—
1404C2×C8C23×D7311yescharacteristic
1405C2×C8C23×D7311yescharacteristic
1406C2×C8C23×D7311yescharacteristic
1407C2×C8C23×D7311yescharacteristic
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—731no—
1418C4⋊C4—731no—
1419C4⋊C4—731no—
1420C4⋊C4—731no—
1421C4⋊C4—731no—
1422C4⋊C4—731no—
1423C4⋊C4—731no—
1424C4⋊C4—731no—
1425C4⋊C4—731no—
1426C4⋊C4—731no—
1427C4⋊C4—731no—
1428C4⋊C4—731no—
1429C4⋊C4—731no—
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⋊C4—1461no—
1441C4⋊C4—1461no—
1442C4⋊C4—1461no—
1443C4⋊C4—1461no—
1444C4⋊C4—1461no—
1445C4⋊C4—1461no—
1446C4⋊C4—1461no—
1447C4⋊C4—1461no—
1448C4⋊C4—1461no—
1449C4⋊C4—1461no—
1450C4⋊C4—1461no—
1451C4⋊C4—1461no—
1452C4⋊C4—1461no—
1453C4⋊C4—1461no—
1454C4⋊C4—1461no—
1455C4⋊C4—1461no—
1456C4⋊C4D4×D7311yescharacteristic
1457C4⋊C4C23×D7311yescharacteristic
1458C4⋊C4C23×D7311yescharacteristic
1459C4⋊C4C23×D7311yescharacteristic
1460C4⋊C4C23×D7311yescharacteristic
1461C4⋊C4C23×D7311yescharacteristic
1462C4⋊C4C23×D7311yescharacteristic
1463C22⋊C4—21no—
1464C22⋊C4—21no—
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—731no—
1470C22⋊C4—731no—
1471C22⋊C4—731no—
1472C22⋊C4—731no—
1473C22⋊C4—731no—
1474C22⋊C4—731no—
1475C22⋊C4—731no—
1476C22⋊C4—731no—
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—
1490C22⋊C4—1461no—
1491C22⋊C4—1461no—
1492C22⋊C4—1461no—
1493C22⋊C4—1461no—
1494C22⋊C4—1461no—
1495C22⋊C4—1461no—
1496C22⋊C4—1461no—
1497C22⋊C4—1461no—
1498C22⋊C4—1461no—
1499C22⋊C4—1461no—
1500C22⋊C4—1461no—
1501C22⋊C4D4×D7311yescharacteristic
1502C22⋊C4D4×D7311yescharacteristic
1503C42—21no—
1504C42—21no—
1505C42—731no—
1506C42—731no—
1507C42—731no—
1508C42—731no—
1509C42—731no—
1510C42—1461no—
1511C42—1461no—
1512C42—1461no—
1513C42—1461no—
1514C42C23×D7311yescharacteristic
1515C23—21no—
1516C23—2922no—
1517C23—2922no—
1518C23—5841no—
1519C23—731no—
1520C23—1461no—
1521C23—1461no—
1522C23—1461no—
1523C23C2×D4×D7311yescharacteristic
1524C23C2×D4×D7311yescharacteristic
1525Q8—21no—
1526Q8—21no—
1527Q8—81no—
1528Q8—2921no—
1529Q8—2922no—
1530Q8—5841no—
1531Q8—5841no—
1532Q8—5841no—
1533Q8—5841no—
1534Q8—1461no—
1535Q8—1461no—
1536D4—22no—
1537D4—21no—
1538D4—21no—
1539D4—42no—
1540D4—81no—
1541D4—2922no—
1542D4—2922no—
1543D4—2922no—
1544D4—2922no—
1545D4—2921no—
1546D4—5841no—
1547D4—5841no—
1548D4—5841no—
1549D4—5841no—
1550D4—5841no—
1551D4—5841no—
1552D4—5841no—
1553D4—732no—
1554D4—1462no—
1555D4—1461no—
1556D4—1461no—
1557D4—1461no—
1558D4—1461no—
1559D4—1461no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—81no—
1572C2×C4—81no—
1573C2×C4—81no—
1574C2×C4—81no—
1575C2×C4—2922no—
1576C2×C4—2922no—
1577C2×C4—2922no—
1578C2×C4—2922no—
1579C2×C4—2922no—
1580C2×C4—2921no—
1581C2×C4—5841no—
1582C2×C4—5841no—
1583C2×C4—5841no—
1584C2×C4—5841no—
1585C2×C4—5841no—
1586C2×C4—5841no—
1587C2×C4—5841no—
1588C2×C4—5841no—
1589C2×C4—5841no—
1590C2×C4—5841no—
1591C2×C4—5841no—
1592C2×C4—5841no—
1593C2×C4—731no—
1594C2×C4—731no—
1595C2×C4—731no—
1596C2×C4—731no—
1597C2×C4—731no—
1598C2×C4—731no—
1599C2×C4—731no—
1600C2×C4—1461no—
1601C2×C4—1461no—
1602C2×C4—1461no—
1603C2×C4—1461no—
1604C2×C4—1461no—
1605C2×C4—1462no—
1606C2×C4—1461no—
1607C2×C4—1461no—
1608C2×C4C2×D4×D7311yescharacteristic
1609C2×C4C2×D4×D7311yescharacteristic
1610C2×C4C2×D4×D7311yescharacteristic
1611C2×C4C2×D4×D7311yescharacteristic
1612C2×C4C24×D7311yescharacteristic
1613C8—21no—
1614C8—21no—
1615C8—21no—
1616C8—21no—
1617C8—1461no—
1618C8—1461no—
1619C8—1461no—
1620C8—1461no—
1621C22—21no—
1622C22—21no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—2921no—
1630C22—2921no—
1631C22—2921no—
1632C22—2921no—
1633C22—2921no—
1634C22—2921no—
1635C22—2921no—
1636C22—2921no—
1637C22—5844no—
1638C22—1462no—
1639C22—1461no—
1640C22—1461no—
1641C22—1461no—
1642C22#1798939612yes—
1643C22C22×D4×D7311yescharacteristic
1644C4—21no—
1645C4—21no—
1646C4—21no—
1647C4—21no—
1648C4—41no—
1649C4—41no—
1650C4—41no—
1651C4—41no—
1652C4—41no—
1653C4—41no—
1654C4—41no—
1655C4—2921no—
1656C4—2921no—
1657C4—2921no—
1658C4—2921no—
1659C4—2921no—
1660C4—1461no—
1661C4—1461no—
1662C4—1461no—
1663C4—1461no—
1664C4—1461no—
1665C4—1461no—
1666C4—1461no—
1667C42−1+4×D7311yescharacteristic
1668C4#1798942311yescharacteristic
1669C2—22no—
1670C2—41no—
1671C2—81no—
1672C2—2922no—
1673C2—2921no—
1674C2—5841no—
1675C2—5841no—
1676C2#2262360511yescharacteristic
1677C2C2×#1798939611yescharacteristic
1678C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3346C2
socleC22×C73C23×D4
hypercenter#3346D73
hypocenterC73#62166
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3346

Complements

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

NH ≅ G/Ntype
1. #22624463C2semidirect
2. #22623976C2semidirect
3. #22622834C2semidirect
4. #22622827C2semidirect
5. #22622763C2semidirect
6. #22622756C2semidirect
7. #22622412C2semidirect
8. #22622405C2semidirect
9. #22622402C2semidirect
10. #22622286C2semidirect
11. #22622282C2semidirect
12. #22621905C2semidirect
13. #22621902C2semidirect
14. #22621898C2semidirect
15. #22621894C2semidirect
16. #22621779C2semidirect
17. #22621775C2semidirect
18. #22621349C2semidirect
19. #22621337C2semidirect
20. #22621242C2semidirect
21. #22621235C2semidirect
22. #22621230C2semidirect
23. #22621136C2semidirect
24. #22620133C2semidirect
25. #22620128C2semidirect
26. #22620019C2semidirect
27. #22619796C2semidirect
28. #22619792C2semidirect
29. C2×#17988890C2semidirect
30. #22619071C2semidirect
31. C73×#3346C2semidirect
35. #17989294C22semidirect
36. #17989293C22semidirect
38. #17989289C22semidirect
40. #17989281C22semidirect
54. #17989217C22semidirect
55. #17989215C22semidirect
58. #17989190C22semidirect
59. #17989188C22semidirect
75. #17988995C22semidirect
76. #17988995C22semidirect
77. #17988995C22semidirect
78. #17988984C22semidirect
79. #17988983C22semidirect
80. #17988954C22semidirect
81. #17988954C22semidirect
86. #17988930C22semidirect
88. #17988919C22semidirect
91. #17988915C22semidirect
97. #17988905C22semidirect
98. #17988904C22semidirect
99. #17988902C22semidirect
100. #17988893C22semidirect
101. #17988893C22semidirect
102. #17988893C22semidirect
103. #17988892C22semidirect
104. #17988892C22semidirect
119. #17988876C22semidirect
120. #17988875C22semidirect
121. #17988875C22semidirect
122. #17988874C22semidirect
123. #17988872C22semidirect
124. #17988871C22semidirect
125. #17988871C22semidirect
126. #17988870C22semidirect
127. #17988866C22semidirect
130. #17988834C22semidirect
134. #17988818C22semidirect
136. #17988815C22semidirect
142. #17988791C22semidirect
143. #17988790C22semidirect
144. #17988786C22semidirect
145. #17988785C22semidirect
154. #17988715C22semidirect
155. #17988714C22semidirect
162. #17988686C22semidirect
163. #17988678C22semidirect
164. C4×#11924015C22semidirect
168. #17988656C22semidirect
169. #17988655C22semidirect
172. #17988649C22semidirect
173. #17988645C22semidirect
175. #17988628C22semidirect
177. C2×#14556522C22semidirect
178. #106×D73C22semidirect
179. #17988615C22semidirect
180. #17988612C22semidirect
190. #501×C73C22semidirect
191. #485×C73C22semidirect
194. #480×C73C22semidirect
195. #479×C73C22semidirect
196. #474×C73C22semidirect
197. #468×C73C22semidirect
199. #440×C73C22semidirect
201. #428×C73C22semidirect
847. #3346D73semidirect
871. C73#62166semidirect
920. #501C2×D73semidirect
930. #485C2×D73semidirect
946. #480C2×D73semidirect
952. #479C2×D73semidirect
976. #474C2×D73semidirect
980. #468C2×D73semidirect
1014. #440C2×D73semidirect
1029. #428C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226244632
#226239762
#226228342
#226228272
#226227632
#226227562
#226224122
#226224052
#226224022
#226222862
#226222822
#226219052
#226219022
#226218982
#226218942
#226217792
#226217752
#226213492
#226213372
#226212422
#226212352
#226212302
#226211362
#226201332
#226201282
#226200192
#226197962
#226197922
C2×#179888902
#226190712
C73×#33462
#6216673