Finite Group Databasebeta

← #33963259

Subgroups — #33963259

Order 18688.

2062 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623642C211yesmaximal, characteristic, complemented
2#22623584C211yesmaximal, characteristic, complemented
3#22622121C211yesmaximal, characteristic, complemented
4#22622111C211yesmaximal, characteristic, complemented
5#22622057C211yesmaximal, characteristic, complemented
6#22622055C211yesmaximal, characteristic, complemented
7#22622000C211yesmaximal, characteristic, complemented
8#22621994C211yesmaximal, characteristic, complemented
9#22621944C211yesmaximal, characteristic, complemented
10#22621930C211yesmaximal, characteristic, complemented
11#22621876C211yesmaximal, characteristic, complemented
12#22621869C211yesmaximal, characteristic, complemented
13#22621866C211yesmaximal, characteristic, complemented
14#22621839C211yesmaximal, characteristic, complemented
15#22621838C211yesmaximal, characteristic, complemented
16#22621820C211yesmaximal, characteristic, complemented
17#22621819C211yesmaximal, characteristic, complemented
18#22620280C211yesmaximal, characteristic, complemented
19#22619886C211yesmaximal, characteristic, complemented
20#22619859C211yesmaximal, characteristic, complemented
21#22619768C211yesmaximal, characteristic, complemented
22#22619610C211yesmaximal, characteristic, complemented
23#22619510C211yesmaximal, characteristic, complemented
24#22619465C211yesmaximal, characteristic, complemented
25#22619244C211yesmaximal, characteristic, complemented
26#22619169C211yesmaximal, characteristic, complemented
27#22618767C211yesmaximal, characteristic, complemented
28#22618620C211yesmaximal, characteristic, complemented
29#22618460C211yesmaximal, characteristic, complemented
30#416×D73C211yesmaximal, characteristic, complemented
31C73×#3305C211yesmaximal, characteristic, complemented
32C2×#14556638C2211yescharacteristic
33C2×#41×D73C2211yescharacteristic
34C2×#14556620C2211yescharacteristic
35C2×#14556615C2211yescharacteristic
36C2×#14556610C2211yescharacteristic
37C2×#14556597C2211yescharacteristic
38C22×C8×D73C2211yescharacteristic
39#17989311C2211yescharacteristic, complemented
40#17989306—21no—
41#17989305C2211yescharacteristic, complemented
42#17989301C2211yescharacteristic, complemented
43#17989299—21no—
44#17989289C2211yescharacteristic, complemented
45#17989287C2211yescharacteristic, complemented
46#17989280—21no—
47#17989277C2211yescharacteristic, complemented
48#17989276C2211yescharacteristic, complemented
49#17989270—21no—
50#17989257—21no—
51#17989257C2211yescharacteristic
52#17989256C2211yescharacteristic
53#17989255—21no—
54#17989255C2211yescharacteristic
55#17989249C2211yescharacteristic
56#17989246—21no—
57#17989246C2211yescharacteristic
58#17989244C2211yescharacteristic
59#17989243—21no—
60#17989243C2211yescharacteristic
61#17989214C2211yescharacteristic
62#17989171—21no—
63#17989169—21no—
64#17989166C2211yescharacteristic
65#17989153—21no—
66#17989153C2211yescharacteristic
67#17989150—21no—
68#17989150C2211yescharacteristic
69#17989116—21no—
70#17989115—21no—
71#17989097—21no—
72#17989097C2211yescharacteristic
73#17989097C2211yescharacteristic
74#17989096—21no—
75#17989096C2211yescharacteristic
76#17989067C2211yescharacteristic
77#17989066C2211yescharacteristic
78#17989063C2211yescharacteristic
79#117×D73C2211yescharacteristic
80#17988951C2211yescharacteristic, complemented
81#17988950C2211yescharacteristic, complemented
82#17988949C2211yescharacteristic, complemented
83#17988945C2211yescharacteristic, complemented
84#17988942C2211yescharacteristic, complemented
85#17988940C2211yescharacteristic, complemented
86#17988932C2211yescharacteristic, complemented
87#17988931C2211yescharacteristic, complemented
88#17988930C2211yescharacteristic, complemented
89#17988929C2211yescharacteristic, complemented
90#17988928C2211yescharacteristic, complemented
91#17988914C2211yescharacteristic, complemented
92#17988911C2211yescharacteristic, complemented
93#17988910C2211yescharacteristic, complemented
94#17988909C2211yescharacteristic, complemented
95#17988909C2211yescharacteristic, complemented
96#17988908C2211yescharacteristic, complemented
97#17988907C2211yescharacteristic, complemented
98#17988903C2211yescharacteristic, complemented
99#17988901C2211yescharacteristic, complemented
100#17988899C2211yescharacteristic, complemented
101#17988896C2211yescharacteristic, complemented
102#17988895C2211yescharacteristic, complemented
103#17988894C2211yescharacteristic, complemented
104#17988893C2211yescharacteristic, complemented
105#17988881C2211yescharacteristic, complemented
106#17988870C2211yescharacteristic, complemented
107#17988869C2211yescharacteristic, complemented
108#17988838C2211yescharacteristic, complemented
109#17988837C2211yescharacteristic, complemented
110#17988834C2211yescharacteristic, complemented
111#17988831C2211yescharacteristic, complemented
112#17988829C2211yescharacteristic, complemented
113#17988828C2211yescharacteristic, complemented
114#17988822C2211yescharacteristic, complemented
115#17988820C2211yescharacteristic, complemented
116#17988816C2211yescharacteristic, complemented
117#17988815C2211yescharacteristic, complemented
118#17988815C2211yescharacteristic, complemented
119#17988815C2211yescharacteristic, complemented
120#17988814C2211yescharacteristic, complemented
121#17988814C2211yescharacteristic, complemented
122#17988810C2211yescharacteristic, complemented
123#17988808C2211yescharacteristic, complemented
124#17988802C2211yescharacteristic, complemented
125#17988800C2211yescharacteristic, complemented
126#17988786C2211yescharacteristic, complemented
127#17988784C2211yescharacteristic, complemented
128#17988780C2211yescharacteristic, complemented
129#17988752C2211yescharacteristic
130#17988751C2211yescharacteristic
131#17988750C2211yescharacteristic
132#17988750C2211yescharacteristic, complemented
133#17988749C2211yescharacteristic
134#17988749C2211yescharacteristic, complemented
135#17988745C2211yescharacteristic, complemented
136#17988744C2211yescharacteristic, complemented
137#17988731C2211yescharacteristic
138#17988730C2211yescharacteristic
139#17988729C2211yescharacteristic
140#17988729C2211yescharacteristic, complemented
141#17988725C2211yescharacteristic, complemented
142#17988724C2211yescharacteristic, complemented
143#17988693C2211yescharacteristic, complemented
144#17988692C2211yescharacteristic, complemented
145#17988688C2211yescharacteristic, complemented
146#17988687C2211yescharacteristic, complemented
147C4×Dic292C2211yescharacteristic, complemented
148#17988679C2211yescharacteristic, complemented
149#17988678C2211yescharacteristic, complemented
150#17988661C2211yescharacteristic, complemented
151#17988659C2211yescharacteristic, complemented
152#17988657C2211yescharacteristic, complemented
153#17988655C2211yescharacteristic, complemented
154C8×D292C2211yescharacteristic, complemented
155C8×C22⋊D73C2211yescharacteristic, complemented
156C8×C22⋊D73C2211yescharacteristic, complemented
157#17988628C2211yescharacteristic
158#17988626C2211yescharacteristic
159#17988624C2211yescharacteristic
160#17988612C2211yescharacteristic
161#17988595C2211yescharacteristic, complemented
162#17988594C2211yescharacteristic
163#17988594C2211yescharacteristic, complemented
164#17988590C2211yescharacteristic
165#17988588C2211yescharacteristic, complemented
166#17988585C2211yescharacteristic
167#17988585C2211yescharacteristic
168#17988585C2211yescharacteristic, complemented
169#17988584C2211yescharacteristic
170#17988583C2211yescharacteristic
171#17988582C2211yescharacteristic
172#17988582C2211yescharacteristic
173#17988581C2211yescharacteristic
174#17988580C2211yescharacteristic
175#17988580C2211yescharacteristic
176#17988580C2211yescharacteristic
177#17988580C2211yescharacteristic
178#17988580C2211yescharacteristic, complemented
179C2×#14556516C2211yescharacteristic, complemented
180#103×D73C2211yescharacteristic
181#103×D73C2211yescharacteristic
182#103×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic
184#102×D73C2211yescharacteristic
185#17988552C2211yescharacteristic
186#17988549C2211yescharacteristic
187#17988541C2211yescharacteristic
188#555×C73C2211yescharacteristic, complemented
189#550×C73C2211yescharacteristic
190#486×C73C2211yescharacteristic, complemented
191#482×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#477×C73C2211yescharacteristic, complemented
194#466×C73C2211yescharacteristic, complemented
195#466×C73C2211yescharacteristic, complemented
196#459×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic
198#449×C73C2211yescharacteristic, complemented
199C4×SD16×C73C2211yescharacteristic, complemented
200C8×D4×C73C2211yescharacteristic, complemented
201#416×C73C2211yescharacteristic
202#416×C73C2211yescharacteristic, complemented
203#14556638—24no—
204#14556638—42no—
205C2×#11924029C2311yescharacteristic
206C2×#11924028—21no—
207C2×#11924028—21no—
208C2×#11924028C2311yescharacteristic
209C2×#11924028C2311yescharacteristic
210C2×#11924027—21no—
211C2×#11924027—21no—
212C2×#11924027—21no—
213C2×#11924027C2311yescharacteristic
214C2×#11924027C2311yescharacteristic
215C2×#11924027C2311yescharacteristic
216C2×#11924027C2311yescharacteristic
217#41×D73—24no—
218#41×D73—42no—
219C22×Dic146—21no—
220C22×Dic146C2311yescharacteristic
221C2×Q8×D73C2311yescharacteristic
222C2×Q8×D73C2311yescharacteristic
223C2×D4×D73—21no—
224C2×D4×D73C2311yescharacteristic
225C22×C4×D73—21no—
226C22×C4×D73C2311yescharacteristic
227#14556620—24no—
228#14556615—42no—
229#14556610—42no—
230C2×Dic292C2311yescharacteristic
231C2×Dic292C2311yescharacteristic
232C2×#11924018C2311yescharacteristic
233C2×#11924017C2311yescharacteristic
234C2×#11924016C2311yescharacteristic
235C2×#11924016C2311yescharacteristic
236C2×#11924016C2311yescharacteristic
237C2×#11924016C2311yescharacteristic
238C2×#11924013C2311yescharacteristic
239#14556597—42no—
240C2×#11924012C2311yescharacteristic
241C2×#11924011C2311yescharacteristic
242C2×#11924011C2311yescharacteristic
243C2×#11924011C2311yescharacteristic
244C22×#10596831C2311yescharacteristic
245C2×C8×D73—42no—
246C2×C8×D73C2311yescharacteristic
247C2×C8×D73C2311yescharacteristic
248C2×C8×D73C2311yescharacteristic
249C2×C8×D73C2311yescharacteristic
250C2×C8×D73C2311yescharacteristic
251#14556590C2311yescharacteristic
252#14556589—21no—
253#14556587—21no—
254#14556587—21no—
255#14556587—21no—
256#14556587—21no—
257#14556587C2311yescharacteristic
258#14556586—21no—
259#14556586—21no—
260#14556585—21no—
261#14556584—21no—
262#14556584—21no—
263#14556584—21no—
264#14556584—21no—
265#14556584—21no—
266#14556583—21no—
267#14556583C2311yescharacteristic
268#14556582C2311yescharacteristic
269#14556581—21no—
270#14556581—21no—
271#14556580—21no—
272#14556579—21no—
273#14556579C2311yescharacteristic
274#14556578—21no—
275#14556578—21no—
276#14556578C2311yescharacteristic
277#14556577—21no—
278#14556577—21no—
279#14556577—21no—
280#14556577—21no—
281#14556577—21no—
282#14556576D411yescharacteristic
283#14556575—21no—
284#14556574—21no—
285#14556573—21no—
286#14556573—21no—
287#14556573—21no—
288#14556573D411yescharacteristic
289#14556572—21no—
290#14556571—21no—
291#14556571C2311yescharacteristic
292#14556571C2311yescharacteristic
293#14556571C2311yescharacteristic
294#14556570—21no—
295#14556570C2311yescharacteristic
296#14556570C2311yescharacteristic
297#14556570C2311yescharacteristic
298#14556569—21no—
299#14556569—21no—
300#14556569D411yescharacteristic
301#14556568—21no—
302#14556568—21no—
303#14556568D411yescharacteristic
304#14556567—21no—
305#14556566—21no—
306#14556566C2311yescharacteristic
307#14556565—21no—
308#14556565C2311yescharacteristic
309#14556564—21no—
310#14556564—21no—
311#14556564—21no—
312#14556564D411yescharacteristic
313#14556563—21no—
314#14556563—21no—
315#14556563—21no—
316#14556563—21no—
317#14556563—21no—
318#14556563—21no—
319#14556563—21no—
320#14556563—21no—
321#14556563—21no—
322#14556563—21no—
323#14556563D411yescharacteristic
324#14556562—21no—
325#14556562—21no—
326#14556562—21no—
327#14556562C2311yescharacteristic
328#14556562C2311yescharacteristic
329#14556562C2311yescharacteristic
330#14556562C2311yescharacteristic
331#14556561—21no—
332#14556561D411yescharacteristic
333#14556559—21no—
334#14556559—21no—
335#14556559—21no—
336#14556559—21no—
337#14556559—21no—
338#14556559D411yescharacteristic
339Q8×Dic73—21no—
340Q8×Dic73C2311yescharacteristic
341C4×Dic146—21no—
342C4×Dic146—21no—
343C4×Dic146—21no—
344C4×Dic146C2311yescharacteristic
345C4×Dic146C2311yescharacteristic
346#14556556—21no—
347#14556556C2311yescharacteristic
348#14556556C2311yescharacteristic
349C4×D292—21no—
350C4×D292—21no—
351C4×D292C2311yescharacteristic
352D4×Dic73—21no—
353D4×Dic73—21no—
354D4×Dic73—21no—
355D4×Dic73—21no—
356D4×Dic73—21no—
357D4×Dic73C2311yescharacteristic
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73—21no—
362C4×C22⋊D73C2311yescharacteristic
363C4×C22⋊D73C2311yescharacteristic
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556551—21no—
368#14556551—21no—
369#14556551—21no—
370#14556551—21no—
371#14556550C2311yescharacteristic
372#14556549—21no—
373#14556549C2311yescharacteristic
374#14556549C2311yescharacteristic
375#14556549C2311yescharacteristic
376#14556549C2311yescharacteristic
377#14556549C2311yescharacteristic
378#14556548—21no—
379#14556548—21no—
380#14556548—21no—
381#14556548C2311yescharacteristic
382#14556547—21no—
383#14556547—21no—
384#14556547—21no—
385#14556547—21no—
386C2×C4⋊Dic73C2311yescharacteristic
387C2×#11924007—21no—
388C4⋊C4×D73C2311yescharacteristic
389C4⋊C4×D73C2311yescharacteristic
390C4⋊C4×D73C2311yescharacteristic
391C22⋊C4×D73—21no—
392C42×D73—21no—
393#14556525C2311yescharacteristic
394#14556525C2311yescharacteristic
395#14556524C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556523C2311yescharacteristic
398#14556522C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401#14556522C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556512C2311yescharacteristic
431#14556512C2311yescharacteristic
432#14556511C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556502C2311yescharacteristic
442#14556501C2311yescharacteristic
443C8×Dic73C2311yescharacteristic
444C2×#41×C73C2311yescharacteristic
445C2×#41×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×D8×C73C2311yescharacteristic
448C2×D8×C73C2311yescharacteristic
449C22×C8×C73C2311yescharacteristic
450C22×C8×C73C2311yescharacteristic
451C4⋊Q8×C73C2311yescharacteristic
452#127×C73—21no—
453#127×C73C2311yescharacteristic
454#124×C73—21no—
455#124×C73—21no—
456#121×C73—21no—
457#121×C73—21no—
458#121×C73—21no—
459#121×C73C2311yescharacteristic
460#121×C73C2311yescharacteristic
461#121×C73C2311yescharacteristic
462#121×C73C2311yescharacteristic
463C4×Q8×C73C2311yescharacteristic
464C4×D4×C73—21no—
465C4×D4×C73C2311yescharacteristic
466C4×D4×C73C2311yescharacteristic
467#117×C73—21no—
468#117×C73C2311yescharacteristic
469#117×C73C2311yescharacteristic
470#107×C73C2311yescharacteristic
471#107×C73C2311yescharacteristic
472#106×C73C2311yescharacteristic
473C4⋊C8×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484C22⋊C8×C73C2311yescharacteristic
485C22⋊C8×C73C2311yescharacteristic
486C4×C8×C73C2311yescharacteristic
487C23×D73—21no—
488C23×D73C2×D411yescharacteristic
489#11924029—22no—
490#11924029—41no—
491#11924028—22no—
492#11924028—22no—
493#11924028—22no—
494#11924028—44no—
495#11924028—41no—
496#11924028—44no—
497#11924027—22no—
498#11924027—22no—
499#11924027—22no—
500#11924027—22no—
501#11924027—22no—
502#11924027—22no—
503#11924027—41no—
504#11924027—41no—
505#11924027—44no—
506#11924027—44no—
507#11924027—44no—
508C2×Dic146—21no—
509C2×Dic146—22no—
510C2×Dic146—21no—
511C2×Dic146—21no—
512C2×Dic146—21no—
513C2×Dic146—41no—
514C2×Dic146—44no—
515C2×Dic146C2×D411yescharacteristic
516C2×Dic146C2411yescharacteristic
517C2×Dic146C2411yescharacteristic
518C2×Dic146C2411yescharacteristic
519Q8×D73—22no—
520Q8×D73—22no—
521Q8×D73—41no—
522Q8×D73#4114yes—
523C2×D292—21no—
524C2×D292—21no—
525C2×D292C2×D411yescharacteristic
526C2×D292C2×D411yescharacteristic
527C2×D292C2411yescharacteristic
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73C2×D411yescharacteristic
542C2×C22⋊D73C2×D411yescharacteristic
543C2×C22⋊D73C2×D411yescharacteristic
544C2×C22⋊D73C2×D411yescharacteristic
545D4×D73—22no—
546D4×D73—22no—
547D4×D73—44no—
548C22×Dic73—21no—
549C22×Dic73—21no—
550C22×Dic73—21no—
551C22×Dic73—21no—
552C22×Dic73—21no—
553C22×Dic73—21no—
554C22×Dic73—21no—
555C22×Dic73C2×D411yescharacteristic
556C2×C4×D73—21no—
557C2×C4×D73—22no—
558C2×C4×D73—22no—
559C2×C4×D73—21no—
560C2×C4×D73—21no—
561C2×C4×D73—21no—
562C2×C4×D73—21no—
563C2×C4×D73—21no—
564C2×C4×D73—21no—
565C2×C4×D73—44no—
566C2×C4×D73C2×D411yescharacteristic
567C2×C4×D73C2×D411yescharacteristic
568C2×C4×D73C2411yescharacteristic
569C2×C4×D73C2411yescharacteristic
570C2×C4×D73C2411yescharacteristic
571Dic292—22no—
572Dic292—41no—
573#11924018—22no—
574#11924017—41no—
575#11924016—22no—
576#11924016—41no—
577#11924016—41no—
578#11924016—41no—
579#11924013—41no—
580#11924012—41no—
581#11924011—22no—
582#11924011—22no—
583#11924011—41no—
584C2×#10596831—41no—
585C2×#10596831C2411yescharacteristic
586C2×#10596831C2411yescharacteristic
587C2×#10596831C2411yescharacteristic
588C2×#10596831C2411yescharacteristic
589C8×D73—22no—
590C8×D73—22no—
591C8×D73—41no—
592C8×D73—41no—
593C8×D73—41no—
594C4⋊Dic73—21no—
595C4⋊Dic73—21no—
596C4⋊Dic73—21no—
597C4⋊Dic73—21no—
598C4⋊Dic73—21no—
599C4⋊Dic73—21no—
600C4⋊Dic73C2×D411yescharacteristic
601C4⋊Dic73C2411yescharacteristic
602C4⋊Dic73C2411yescharacteristic
603C4⋊Dic73C2411yescharacteristic
604C4⋊Dic73C2411yescharacteristic
605#11924007—21no—
606#11924007—21no—
607#11924007—21no—
608#11924007—21no—
609#11924007—21no—
610#11924007—21no—
611#11924007—21no—
612#11924007—21no—
613#11924007—21no—
614#11924007—21no—
615#11924007—21no—
616#11924007—21no—
617#11924007—21no—
618#11924007—21no—
619#11924007C2×D411yescharacteristic
620#11924007C2×D411yescharacteristic
621#11924007C2×D411yescharacteristic
622#11924007C2×D411yescharacteristic
623C22⋊Dic73—21no—
624C22⋊Dic73—21no—
625C22⋊Dic73—21no—
626C22⋊Dic73—21no—
627C22⋊Dic73—21no—
628C22⋊Dic73—21no—
629C22⋊Dic73—21no—
630C22⋊Dic73—21no—
631C22⋊Dic73—21no—
632C22⋊Dic73—21no—
633C22⋊Dic73—21no—
634C22⋊Dic73C2×D411yescharacteristic
635C22⋊Dic73C2×D411yescharacteristic
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
648#11924005C2×D411yescharacteristic
649#11924005C2×D411yescharacteristic
650#11924005C2×D411yescharacteristic
651#11924005C2×D411yescharacteristic
652#11924005C2×D411yescharacteristic
653#11924005C2×D411yescharacteristic
654C4×Dic73—21no—
655C4×Dic73—21no—
656C4×Dic73—21no—
657C4×Dic73—21no—
658C4×Dic73—21no—
659C4×Dic73—21no—
660C4×Dic73—21no—
661C4×Dic73—21no—
662C4×Dic73—21no—
663C4×Dic73—21no—
664C4×Dic73—21no—
665C4×Dic73C2411yescharacteristic
666#41×C73—22no—
667#41×C73—22no—
668#41×C73—41no—
669#41×C73—41no—
670C2×Q8×C73—21no—
671C2×Q8×C73C2411yescharacteristic
672C2×D4×C73—21no—
673C2×D4×C73—21no—
674C2×D4×C73—21no—
675C2×D4×C73—21no—
676C2×D4×C73—21no—
677C2×D4×C73—21no—
678C2×D4×C73—21no—
679C2×D4×C73—21no—
680C2×D4×C73C2×D411yescharacteristic
681C2×D4×C73C2411yescharacteristic
682C2×D4×C73C2411yescharacteristic
683C2×D4×C73C2411yescharacteristic
684C22×C4×C73—21no—
685C22×C4×C73—21no—
686C22×C4×C73—21no—
687C22×C4×C73C2411yescharacteristic
688C22×C4×C73C2411yescharacteristic
689SD16×C73—22no—
690D8×C73—41no—
691D8×C73—41no—
692C2×C8×C73—41no—
693C2×C8×C73—41no—
694C2×C8×C73C2411yescharacteristic
695C2×C8×C73C2411yescharacteristic
696C2×C8×C73C2411yescharacteristic
697C2×C8×C73C2411yescharacteristic
698C4⋊C4×C73—21no—
699C4⋊C4×C73—21no—
700C4⋊C4×C73C2×D411yescharacteristic
701C4⋊C4×C73C2411yescharacteristic
702C4⋊C4×C73C2411yescharacteristic
703C4⋊C4×C73C2411yescharacteristic
704C4⋊C4×C73C2411yescharacteristic
705C22⋊C4×C73—21no—
706C22⋊C4×C73—21no—
707C22⋊C4×C73—21no—
708C22⋊C4×C73—21no—
709C22⋊C4×C73—21no—
710C22⋊C4×C73—21no—
711C22⋊C4×C73—21no—
712C22⋊C4×C73C2×D411yescharacteristic
713C22⋊C4×C73C2×D411yescharacteristic
714C42×C73—21no—
715C42×C73—21no—
716C42×C73—21no—
717C42×C73C2411yescharacteristic
718C23×C73—21no—
719C23×C73—21no—
720C23×C73—21no—
721C23×C73C22×D411yescharacteristic
722C23×C73C22×D411yescharacteristic
723C22×D73—22no—
724C22×D73—21no—
725C22×D73—41no—
726C22×D73—41no—
727C22×D73—42no—
728C22×D73—81no—
729C22×D73—81no—
730C22×D73C22×D411yescharacteristic
731C22×D73C22×D411yescharacteristic
732C22×D73C22×D411yescharacteristic
733Q8×C73—21no—
734Q8×C73—81no—
735Q8×C73C2×#4112yes—
736D4×C73—21no—
737D4×C73—21no—
738D4×C73—21no—
739D4×C73—21no—
740D4×C73—21no—
741D4×C73—21no—
742D4×C73—41no—
743D4×C73—42no—
744D4×C73—42no—
745D4×C73—81no—
746D4×C73—81no—
747D4×C73—81no—
748D4×C73—81no—
749D4×C73—81no—
750D4×C73—81no—
751C2×C4×C73—21no—
752C2×C4×C73—21no—
753C2×C4×C73—21no—
754C2×C4×C73—21no—
755C2×C4×C73—21no—
756C2×C4×C73—21no—
757C2×C4×C73—21no—
758C2×C4×C73—21no—
759C2×C4×C73—21no—
760C2×C4×C73—42no—
761C2×C4×C73—42no—
762C2×C4×C73—81no—
763C2×C4×C73C22×D411yescharacteristic
764C2×C4×C73C22×D411yescharacteristic
765C2×C4×C73C22×D411yescharacteristic
766C2×C4×C73C22×D411yescharacteristic
767C2×C4×C73C2511yescharacteristic
768C22⋊D73—22no—
769C22⋊D73—22no—
770C22⋊D73—41no—
771C22⋊D73—41no—
772C22⋊D73—42no—
773C22⋊D73—42no—
774C22⋊D73—42no—
775C22⋊D73—42no—
776C22⋊D73—42no—
777C22⋊D73—42no—
778C22⋊D73—81no—
779C22⋊D73—81no—
780C22⋊D73—81no—
781C22⋊D73—81no—
782C22⋊D73—81no—
783C22⋊D73—81no—
784C22⋊D73—81no—
785C2×Dic73—21no—
786C2×Dic73—22no—
787C2×Dic73—21no—
788C2×Dic73—21no—
789C2×Dic73—21no—
790C2×Dic73—21no—
791C2×Dic73—21no—
792C2×Dic73—21no—
793C2×Dic73—42no—
794C2×Dic73—42no—
795C2×Dic73—42no—
796C2×Dic73—42no—
797C2×Dic73—42no—
798C2×Dic73—81no—
799C2×Dic73—81no—
800C2×Dic73C22×D411yescharacteristic
801C2×Dic73C22×D411yescharacteristic
802C2×Dic73C22×D411yescharacteristic
803C2×Dic73C22×D411yescharacteristic
804C2×Dic73C22×D411yescharacteristic
805D292—22no—
806D292—21no—
807D292—21no—
808D292—41no—
809D292—42no—
810D292—81no—
811C4×D73—22no—
812C4×D73—24no—
813C4×D73—21no—
814C4×D73—21no—
815C4×D73—21no—
816C4×D73—21no—
817C4×D73—22no—
818C4×D73—42no—
819C4×D73—42no—
820C4×D73—42no—
821C4×D73—81no—
822C4×D73—81no—
823C4×D73—81no—
824C4×D73C2×#4112yes—
825C4×D73H(5,𝔽2)12yes—
826Dic146—21no—
827Dic146—24no—
828Dic146—22no—
829Dic146—21no—
830Dic146—21no—
831Dic146—21no—
832Dic146—21no—
833Dic146—42no—
834Dic146—42no—
835Dic146—81no—
836Dic146C2×#4112yes—
837C8×C73—21no—
838C8×C73—21no—
839C8×C73—21no—
840C8×C73—21no—
841#10596831—21no—
842#10596831—21no—
843#10596831—21no—
844#10596831—21no—
845C22×C73—21no—
846C22×C73—21no—
847C22×C73—21no—
848C22×C73—21no—
849C22×C73—21no—
850C22×C73—21no—
851C22×C73—41no—
852C22×C73—41no—
853C22×C73—41no—
854C22×C73—41no—
855C22×C73—41no—
856C22×C73—41no—
857C22×C73—41no—
858C22×C73—41no—
859C22×C73—41no—
860C22×C73C23×D411yescharacteristic
861C2×D73—21no—
862C2×D73—21no—
863C2×D73—21no—
864C2×D73—21no—
865C2×D73—21no—
866C2×D73—21no—
867C2×D73—21no—
868C2×D73—21no—
869C2×D73—44no—
870C2×D73—41no—
871C2×D73—41no—
872C2×D73—41no—
873C2×D73—84no—
874C2×D73#54612yes—
875C4×C73—21no—
876C4×C73—21no—
877C4×C73—21no—
878C4×C73—22no—
879C4×C73—21no—
880C4×C73—41no—
881C4×C73—41no—
882C4×C73—41no—
883C4×C73—41no—
884C4×C73C22×#4111yescharacteristic
885C4×C73C2×H(5,𝔽2)11yescharacteristic
886Dic73—21no—
887Dic73—21no—
888Dic73—22no—
889Dic73—21no—
890Dic73—21no—
891Dic73—41no—
892Dic73—41no—
893Dic73—41no—
894Dic73—41no—
895Dic73—41no—
896Dic73—41no—
897Dic73#54612yes—
898#61170—731nomaximal, Sylow
899C2×C73—41no—
900C2×C73—41no—
901C2×C73—81no—
902C2×C73—81no—
903C2×C73—81no—
904C2×C73C2×#54611yescharacteristic
905C2×C73#358411yescharacteristic
906C2×C73#358411yescharacteristic
907D73—22no—
908D73—41no—
909D73—41no—
910D73—81no—
911#3493—731no—
912#3487—731no—
913#3321—731no—
914#3321—731no—
915#3317—731no—
916#3317—731no—
917#3313—731no—
918#3313—731no—
919#3309—731no—
920#3309—731no—
921#3305—731no—
922#3305D7311yescharacteristic, complemented
923#3304—731no—
924#3304—731no—
925#3301—731no—
926#3301—731no—
927#3300—731no—
928#3300—731no—
929#3136—731no—
930#3096—731no—
931#3093—731no—
932#3082—731no—
933#3062—731no—
934#3050—731no—
935#3045—731no—
936#3013—731no—
937#3005—731no—
938#2947—731no—
939#2929—731no—
940#2898—731no—
941C2×#416—731no—
942C73#6117011yescharacteristic, complemented, Sylow
943C2×2−1+4—731no—
944C22×#41—731no—
945C2×#137—731no—
946C2×AGL(1,ℤ/8)—731no—
947C2×#135—731no—
948C2×#131—731no—
949C23×C8—731no—
950#556—731no—
951#556—731no—
952#556—1461no—
953#555—731no—
954#555—1461no—
955#555C2×D7311yescharacteristic, complemented
956#553—731no—
957#553—731no—
958#553—1461no—
959#552—731no—
960#552—731no—
961#552—1461no—
962#550—731no—
963#550—731no—
964#550—731no—
965#550—1461no—
966#550—1461no—
967#550C2×D7311yescharacteristic
968#548—731no—
969#548—731no—
970#548—731no—
971#548—731no—
972#548—1461no—
973#548—1461no—
974#544—731no—
975#538—1461no—
976#538—1461no—
977#537—731no—
978#535—731no—
979#535—731no—
980#535—1461no—
981#535—1461no—
982#529—1461no—
983#529—1461no—
984#525—731no—
985#525—731no—
986#525—731no—
987#525—1461no—
988#525—1461no—
989#520—731no—
990#520—731no—
991#519—731no—
992C2×#117—731no—
993#490—731no—
994#490—731no—
995#489—731no—
996#489—731no—
997#488—731no—
998#488—731no—
999#486—731no—
1000#486C2×D7311yescharacteristic, complemented
1001#485—731no—
1002#485—731no—
1003#485—731no—
1004#485—731no—
1005#482—731no—
1006#482—731no—
1007#482—731no—
1008#482—731no—
1009#482—731no—
1010#482—731no—
1011#482C2×D7311yescharacteristic, complemented
1012#482C2×D7311yescharacteristic, complemented
1013#481—731no—
1014#481—731no—
1015#480—731no—
1016#480—731no—
1017#479—731no—
1018#479—731no—
1019#479—731no—
1020#479—731no—
1021#477—731no—
1022#477C2×D7311yescharacteristic, complemented
1023#475—731no—
1024#475—731no—
1025#469—731no—
1026#469—731no—
1027#468—731no—
1028#468—731no—
1029#467—731no—
1030#467—731no—
1031#466—731no—
1032#466—731no—
1033#466C2×D7311yescharacteristic, complemented
1034#466C2×D7311yescharacteristic, complemented
1035#465—731no—
1036#465—731no—
1037#465—731no—
1038#465—731no—
1039#465—731no—
1040#465—731no—
1041#464—731no—
1042#464—731no—
1043#463—731no—
1044#463—731no—
1045#460—731no—
1046#460—731no—
1047#459—731no—
1048#459C2×D7311yescharacteristic, complemented
1049#452—731no—
1050#452—731no—
1051#452—731no—
1052#452—731no—
1053#452—731no—
1054#452—731no—
1055#451—731no—
1056#451—731no—
1057#449—731no—
1058#449—731no—
1059#449—731no—
1060#449—731no—
1061#449C2×D7311yescharacteristic
1062#449C2×D7311yescharacteristic, complemented
1063#448—731no—
1064#448—731no—
1065#441—731no—
1066#441—731no—
1067#440—731no—
1068#440—731no—
1069C4×Q16—731no—
1070C4×Q16—731no—
1071C4×SD16—731no—
1072C4×SD16C2×D7311yescharacteristic, complemented
1073#435—731no—
1074#435—731no—
1075#435—731no—
1076#435—731no—
1077C8×D4—731no—
1078C8×D4—731no—
1079C8×D4—731no—
1080C8×D4C2×D7311yescharacteristic, complemented
1081#428—731no—
1082#428—731no—
1083#427—731no—
1084#424—731no—
1085#419—731no—
1086#419—731no—
1087#419—731no—
1088#418—731no—
1089#417—731no—
1090#417—731no—
1091#417—731no—
1092#417—731no—
1093#416—731no—
1094#416—731no—
1095#416—731no—
1096#416—731no—
1097#416—731no—
1098#416—731no—
1099#416—731no—
1100#416—731no—
1101#416—731no—
1102#416—731no—
1103#416C2×D7311yescharacteristic
1104#416C2×D7311yescharacteristic, complemented
1105C2×#103—731no—
1106C2×#103—731no—
1107C2×#103—731no—
1108C2×#103—731no—
1109C2×#102—731no—
1110C2×#102—731no—
1111#408—731no—
1112#407—731no—
1113#405—731no—
11142−1+4—2922no—
11152−1+4—1464no—
1116C2×#41—2922no—
1117C2×#41—731no—
1118C2×#41—731no—
1119C2×#41—731no—
1120C2×#41—731no—
1121C2×#41—731no—
1122C2×#41—731no—
1123C2×#41—731no—
1124C2×#41—1461no—
1125C2×#41—1461no—
1126C2×#41—1464no—
1127C2×#41—1461no—
1128C2×#41—1461no—
1129C2×#41—1461no—
1130C2×#41C22×D7311yescharacteristic
1131C2×#41C22×D7311yescharacteristic
1132C22×Q8—731no—
1133C22×Q8—731no—
1134C22×Q8—731no—
1135C22×Q8—1461no—
1136C22×D4—731no—
1137C22×D4—1461no—
1138C23×C4—731no—
1139C23×C4—1461no—
1140#137—1464no—
1141AGL(1,ℤ/8)—2922no—
1142#135—2922no—
1143C2×Q16—731no—
1144C2×Q16—731no—
1145C2×Q16—731no—
1146C2×SD16—731no—
1147C2×SD16—731no—
1148C2×SD16—731no—
1149C2×SD16—731no—
1150C2×SD16—731no—
1151C2×SD16C22×D7311yescharacteristic
1152C2×D8—731no—
1153C2×D8C22×D7311yescharacteristic
1154C2×D8C22×D7311yescharacteristic
1155#131—2922no—
1156C2×M16—731no—
1157C2×M16—731no—
1158C2×M16—731no—
1159C2×M16—731no—
1160C22×C8—2922no—
1161C22×C8—731no—
1162C22×C8—731no—
1163C22×C8—731no—
1164C22×C8—731no—
1165C22×C8—731no—
1166C22×C8—731no—
1167C22×C8C22×D7311yescharacteristic
1168C22×C8C22×D7311yescharacteristic
1169C4⋊Q8—731no—
1170C4⋊Q8—1461no—
1171C4⋊Q8C22×D7311yescharacteristic
1172#127—21no—
1173#127—731no—
1174#127—1461no—
1175#127—1461no—
1176#127—1461no—
1177#127—1461no—
1178#127C22×D7311yescharacteristic
1179#126—1461no—
1180#126—1461no—
1181#126—1461no—
1182#126—1461no—
1183#126—1461no—
1184#126—1461no—
1185#126—1461no—
1186#126—1461no—
1187#125—731no—
1188#125—731no—
1189#125—1461no—
1190#125—1461no—
1191#125—1461no—
1192#124—21no—
1193#124—21no—
1194#124—731no—
1195#124—731no—
1196#124—1461no—
1197#124—1461no—
1198#124—1461no—
1199#124—1461no—
1200#124—1461no—
1201#124—1461no—
1202#124—1461no—
1203#124—1461no—
1204#124—1461no—
1205#123—731no—
1206#123—731no—
1207#123—1461no—
1208#123—1461no—
1209#123—1461no—
1210#123—1461no—
1211#123—1461no—
1212#123—1461no—
1213C22⋊Q8—731no—
1214C22⋊Q8—731no—
1215C22⋊Q8—731no—
1216C22⋊Q8—731no—
1217C22⋊Q8—731no—
1218C22⋊Q8—731no—
1219C22⋊Q8—731no—
1220C22⋊Q8—731no—
1221C22⋊Q8—1461no—
1222C22⋊Q8—1461no—
1223C22⋊Q8—1461no—
1224C22⋊Q8—1461no—
1225C22⋊Q8—1461no—
1226C22⋊Q8—1461no—
1227C22⋊Q8—1461no—
1228#121—21no—
1229#121—21no—
1230#121—21no—
1231#121—731no—
1232#121—731no—
1233#121—731no—
1234#121—731no—
1235#121—731no—
1236#121—731no—
1237#121—731no—
1238#121—731no—
1239#121—1461no—
1240#121—1461no—
1241#121—1461no—
1242#121—1461no—
1243#121—1461no—
1244#121—1461no—
1245#121—1461no—
1246#121—1461no—
1247#121—1461no—
1248#121—1461no—
1249#121—1461no—
1250#121—1461no—
1251#121—1461no—
1252#121—1461no—
1253#121—1461no—
1254#121—1461no—
1255#121—1461no—
1256#121—1461no—
1257#121C22×D7311yescharacteristic
1258#121C22×D7311yescharacteristic
1259#121C22×D7311yescharacteristic
1260#121C22×D7311yescharacteristic
1261#120—731no—
1262#120—731no—
1263#120—1461no—
1264#120—1461no—
1265#120—1461no—
1266#120—1461no—
1267#120—1461no—
1268#120—1461no—
1269C4×Q8—731no—
1270C4×Q8—731no—
1271C4×Q8—731no—
1272C4×Q8—731no—
1273C4×Q8—731no—
1274C4×Q8—1461no—
1275C4×Q8—1461no—
1276C4×Q8—1461no—
1277C4×Q8—1461no—
1278C4×Q8—1461no—
1279C4×Q8C22×D7311yescharacteristic
1280C4×D4—21no—
1281C4×D4—731no—
1282C4×D4—731no—
1283C4×D4—731no—
1284C4×D4—731no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4—1461no—
1288C4×D4—1461no—
1289C4×D4—1461no—
1290C4×D4—1461no—
1291C4×D4—1461no—
1292C4×D4—1461no—
1293C4×D4—1461no—
1294C4×D4—1461no—
1295C4×D4—1461no—
1296C4×D4—1461no—
1297C4×D4—1461no—
1298C4×D4—1461no—
1299C4×D4—1461no—
1300C4×D4—1461no—
1301C4×D4—1461no—
1302C4×D4—1461no—
1303C4×D4C22×D7311yescharacteristic
1304C4×D4C22×D7311yescharacteristic
1305#117—21no—
1306#117—731no—
1307#117—731no—
1308#117—731no—
1309#117—731no—
1310#117—731no—
1311#117—731no—
1312#117—731no—
1313#117—1461no—
1314#117—1461no—
1315#117—1461no—
1316#117—1461no—
1317#117—1461no—
1318#117—1461no—
1319#117—1461no—
1320#117—1461no—
1321#117C22×D7311yescharacteristic
1322#117C22×D7311yescharacteristic
1323C2×C4⋊C4—731no—
1324C2×C4⋊C4—731no—
1325C2×C4⋊C4—731no—
1326C2×C4⋊C4—731no—
1327C2×C4⋊C4—1461no—
1328C2×C22⋊C4—1461no—
1329C2×C42—1461no—
1330#107—731no—
1331#107—731no—
1332#107—731no—
1333#107—731no—
1334#107C22×D7311yescharacteristic
1335#107C22×D7311yescharacteristic
1336#106—731no—
1337#106—731no—
1338#106—731no—
1339#106—731no—
1340#106—731no—
1341#106C22×D7311yescharacteristic
1342C4⋊C8—731no—
1343C4⋊C8—731no—
1344C4⋊C8—731no—
1345C4⋊C8C22×D7311yescharacteristic
1346#103—731no—
1347#103—731no—
1348#103—731no—
1349#103—731no—
1350#103—731no—
1351#103—731no—
1352#103—731no—
1353#103—731no—
1354#103—731no—
1355#103—731no—
1356#103—731no—
1357#103—731no—
1358#103—731no—
1359#103—731no—
1360#103—731no—
1361#103—731no—
1362#103—731no—
1363#103C22×D7311yescharacteristic
1364#103C22×D7311yescharacteristic
1365#103C22×D7311yescharacteristic
1366#102—731no—
1367#102—731no—
1368#102—731no—
1369#102—731no—
1370#102—731no—
1371#102—731no—
1372#102—731no—
1373#102—731no—
1374#102—731no—
1375#102—731no—
1376#102—731no—
1377#102—731no—
1378#102—731no—
1379#102C22×D7311yescharacteristic
1380#102C22×D7311yescharacteristic
1381#102C22×D7311yescharacteristic
1382#102C22×D7311yescharacteristic
1383#102C22×D7311yescharacteristic
1384#102C22×D7311yescharacteristic
1385#102C22×D7311yescharacteristic
1386C22⋊C8—731no—
1387C22⋊C8—731no—
1388C22⋊C8—731no—
1389C22⋊C8—731no—
1390C22⋊C8—731no—
1391C22⋊C8—731no—
1392C22⋊C8C22×D7311yescharacteristic
1393C22⋊C8C22×D7311yescharacteristic
1394#97—731no—
1395#97—731no—
1396C4×C8—731no—
1397C4×C8C22×D7311yescharacteristic
1398C24—731no—
1399C24—1461no—
1400#41—22no—
1401#41—22no—
1402#41—41no—
1403#41—41no—
1404#41—2921no—
1405#41—2924no—
1406#41—2924no—
1407#41—2924no—
1408#41—2921no—
1409#41—2921no—
1410#41—2924no—
1411#41—2924no—
1412#41—2921no—
1413#41—1462no—
1414#41—1462no—
1415#41—1462no—
1416#41—1462no—
1417#41—1462no—
1418#41—1462no—
1419#41—1462no—
1420#41—1462no—
1421#41—1462no—
1422#41—1462no—
1423C2×Q8—21no—
1424C2×Q8—2921no—
1425C2×Q8—2924no—
1426C2×Q8—2921no—
1427C2×Q8—731no—
1428C2×Q8—734no—
1429C2×Q8—731no—
1430C2×Q8—731no—
1431C2×Q8—731no—
1432C2×Q8—1462no—
1433C2×Q8—1461no—
1434C2×Q8—1461no—
1435C2×Q8—1461no—
1436C2×Q8—1462no—
1437C2×Q8—1462no—
1438C2×Q8—1461no—
1439C2×Q8C23×D7311yescharacteristic
1440C2×D4—21no—
1441C2×D4—21no—
1442C2×D4—21no—
1443C2×D4—21no—
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—2924no—
1449C2×D4—731no—
1450C2×D4—731no—
1451C2×D4—731no—
1452C2×D4—731no—
1453C2×D4—731no—
1454C2×D4—731no—
1455C2×D4—731no—
1456C2×D4—1461no—
1457C2×D4—1461no—
1458C2×D4—1462no—
1459C2×D4—1462no—
1460C2×D4—1461no—
1461C2×D4—1461no—
1462C2×D4—1461no—
1463C2×D4—1461no—
1464C2×D4—1461no—
1465C2×D4—1461no—
1466C2×D4—1461no—
1467C2×D4—1461no—
1468C2×D4—1461no—
1469C2×D4—1461no—
1470C2×D4—1461no—
1471C2×D4—1461no—
1472C2×D4—1461no—
1473C2×D4D4×D7311yescharacteristic
1474C2×D4C23×D7311yescharacteristic
1475C2×D4C23×D7311yescharacteristic
1476C2×D4C23×D7311yescharacteristic
1477C22×C4—21no—
1478C22×C4—21no—
1479C22×C4—21no—
1480C22×C4—2924no—
1481C22×C4—731no—
1482C22×C4—731no—
1483C22×C4—731no—
1484C22×C4—731no—
1485C22×C4—731no—
1486C22×C4—731no—
1487C22×C4—1461no—
1488C22×C4—1461no—
1489C22×C4—1461no—
1490C22×C4—1461no—
1491C22×C4—1461no—
1492C22×C4—1462no—
1493C22×C4—1462no—
1494C22×C4—1461no—
1495C22×C4—1461no—
1496C22×C4—1461no—
1497C22×C4—1461no—
1498C22×C4—1461no—
1499C22×C4—1461no—
1500C22×C4—1461no—
1501C22×C4—1461no—
1502C22×C4—1461no—
1503C22×C4C23×D7311yescharacteristic
1504C22×C4C23×D7311yescharacteristic
1505Q16—2921no—
1506Q16—1462no—
1507Q16—1462no—
1508SD16—22no—
1509SD16—2921no—
1510SD16—2921no—
1511SD16—2921no—
1512SD16—2921no—
1513SD16—1462no—
1514D8—41no—
1515D8—41no—
1516D8—2921no—
1517M16—2921no—
1518M16—2921no—
1519M16—1462no—
1520M16—1462no—
1521C2×C8—41no—
1522C2×C8—41no—
1523C2×C8—2921no—
1524C2×C8—2921no—
1525C2×C8—2921no—
1526C2×C8—2921no—
1527C2×C8—731no—
1528C2×C8—731no—
1529C2×C8—731no—
1530C2×C8—731no—
1531C2×C8—1462no—
1532C2×C8—1462no—
1533C2×C8C23×D7311yescharacteristic
1534C2×C8C23×D7311yescharacteristic
1535C2×C8C23×D7311yescharacteristic
1536C2×C8C23×D7311yescharacteristic
1537C4⋊C4—21no—
1538C4⋊C4—21no—
1539C4⋊C4—731no—
1540C4⋊C4—731no—
1541C4⋊C4—731no—
1542C4⋊C4—731no—
1543C4⋊C4—731no—
1544C4⋊C4—731no—
1545C4⋊C4—731no—
1546C4⋊C4—731no—
1547C4⋊C4—731no—
1548C4⋊C4—1461no—
1549C4⋊C4—1461no—
1550C4⋊C4—1461no—
1551C4⋊C4—1461no—
1552C4⋊C4—1461no—
1553C4⋊C4—1461no—
1554C4⋊C4—1461no—
1555C4⋊C4—1461no—
1556C4⋊C4—1461no—
1557C4⋊C4—1461no—
1558C4⋊C4—1461no—
1559C4⋊C4—1461no—
1560C4⋊C4—1461no—
1561C4⋊C4—1461no—
1562C4⋊C4—1461no—
1563C4⋊C4—1461no—
1564C4⋊C4—1461no—
1565C4⋊C4—1461no—
1566C4⋊C4—1461no—
1567C4⋊C4—1461no—
1568C4⋊C4D4×D7311yescharacteristic
1569C4⋊C4C23×D7311yescharacteristic
1570C4⋊C4C23×D7311yescharacteristic
1571C4⋊C4C23×D7311yescharacteristic
1572C4⋊C4C23×D7311yescharacteristic
1573C22⋊C4—21no—
1574C22⋊C4—21no—
1575C22⋊C4—21no—
1576C22⋊C4—21no—
1577C22⋊C4—21no—
1578C22⋊C4—21no—
1579C22⋊C4—21no—
1580C22⋊C4—731no—
1581C22⋊C4—731no—
1582C22⋊C4—731no—
1583C22⋊C4—731no—
1584C22⋊C4—731no—
1585C22⋊C4—731no—
1586C22⋊C4—731no—
1587C22⋊C4—731no—
1588C22⋊C4—1461no—
1589C22⋊C4—1461no—
1590C22⋊C4—1461no—
1591C22⋊C4—1461no—
1592C22⋊C4—1461no—
1593C22⋊C4—1461no—
1594C22⋊C4—1461no—
1595C22⋊C4—1461no—
1596C22⋊C4—1461no—
1597C22⋊C4—1461no—
1598C22⋊C4—1461no—
1599C22⋊C4—1461no—
1600C22⋊C4—1461no—
1601C22⋊C4—1461no—
1602C22⋊C4—1461no—
1603C22⋊C4—1461no—
1604C22⋊C4—1461no—
1605C22⋊C4—1461no—
1606C22⋊C4—1461no—
1607C22⋊C4—1461no—
1608C22⋊C4—1461no—
1609C22⋊C4—1461no—
1610C22⋊C4—1461no—
1611C22⋊C4D4×D7311yescharacteristic
1612C22⋊C4D4×D7311yescharacteristic
1613C42—21no—
1614C42—21no—
1615C42—21no—
1616C42—731no—
1617C42—1461no—
1618C42—1461no—
1619C42—1461no—
1620C42—1461no—
1621C42—1461no—
1622C42—1461no—
1623C42—1461no—
1624C42—1461no—
1625C42—1461no—
1626C42—1461no—
1627C42—1461no—
1628C42C23×D7311yescharacteristic
1629C23—21no—
1630C23—21no—
1631C23—21no—
1632C23—2921no—
1633C23—2921no—
1634C23—2922no—
1635C23—5841no—
1636C23—5841no—
1637C23—731no—
1638C23—731no—
1639C23—731no—
1640C23—1462no—
1641C23—1461no—
1642C23C2×D4×D7311yescharacteristic
1643C23C2×D4×D7311yescharacteristic
1644Q8—21no—
1645Q8—81no—
1646Q8—2922no—
1647Q8—2922no—
1648Q8—5841no—
1649Q8—732no—
1650Q8—1462no—
1651Q8—1464no—
1652Q8—1461no—
1653Q8—1461no—
1654Q8—1461no—
1655Q8—1461no—
1656Q8—1461no—
1657Q8#41×D7312yes—
1658D4—21no—
1659D4—21no—
1660D4—21no—
1661D4—21no—
1662D4—21no—
1663D4—21no—
1664D4—41no—
1665D4—42no—
1666D4—42no—
1667D4—81no—
1668D4—81no—
1669D4—81no—
1670D4—81no—
1671D4—81no—
1672D4—81no—
1673D4—2922no—
1674D4—2921no—
1675D4—2922no—
1676D4—2922no—
1677D4—2922no—
1678D4—2922no—
1679D4—2921no—
1680D4—2921no—
1681D4—2922no—
1682D4—2922no—
1683D4—5841no—
1684D4—5841no—
1685D4—5841no—
1686D4—5841no—
1687D4—5841no—
1688D4—5841no—
1689D4—5841no—
1690D4—5841no—
1691D4—1462no—
1692D4—1462no—
1693D4—1462no—
1694D4—1461no—
1695D4—1461no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—42no—
1706C2×C4—42no—
1707C2×C4—81no—
1708C2×C4—2922no—
1709C2×C4—2922no—
1710C2×C4—2922no—
1711C2×C4—2922no—
1712C2×C4—2922no—
1713C2×C4—2922no—
1714C2×C4—2922no—
1715C2×C4—2922no—
1716C2×C4—5841no—
1717C2×C4—5841no—
1718C2×C4—5841no—
1719C2×C4—5841no—
1720C2×C4—5841no—
1721C2×C4—731no—
1722C2×C4—732no—
1723C2×C4—732no—
1724C2×C4—731no—
1725C2×C4—731no—
1726C2×C4—731no—
1727C2×C4—731no—
1728C2×C4—1462no—
1729C2×C4—1462no—
1730C2×C4—1464no—
1731C2×C4—1461no—
1732C2×C4—1461no—
1733C2×C4—1461no—
1734C2×C4—1461no—
1735C2×C4—1461no—
1736C2×C4—1461no—
1737C2×C4—1462no—
1738C2×C4—1461no—
1739C2×C4—1461no—
1740C2×C4—1461no—
1741C2×C4—1461no—
1742C2×C4—1461no—
1743C2×C4C2×D4×D7311yescharacteristic
1744C2×C4C2×D4×D7311yescharacteristic
1745C2×C4C2×D4×D7311yescharacteristic
1746C2×C4C2×D4×D7311yescharacteristic
1747C2×C4C24×D7311yescharacteristic
1748C8—21no—
1749C8—21no—
1750C8—21no—
1751C8—21no—
1752C8—1461no—
1753C8—1461no—
1754C8—1461no—
1755C8—1461no—
1756C22—21no—
1757C22—21no—
1758C22—21no—
1759C22—21no—
1760C22—21no—
1761C22—21no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—2924no—
1772C22—2921no—
1773C22—2921no—
1774C22—2921no—
1775C22—5844no—
1776C22—732no—
1777C22—1461no—
1778C22—1461no—
1779C22—1461no—
1780C22—1461no—
1781C22—1461no—
1782C22—1461no—
1783C22—1461no—
1784C22—1461no—
1785C22C22×D4×D7311yescharacteristic
1786C4—21no—
1787C4—21no—
1788C4—22no—
1789C4—21no—
1790C4—21no—
1791C4—41no—
1792C4—41no—
1793C4—41no—
1794C4—41no—
1795C4—2921no—
1796C4—2921no—
1797C4—2921no—
1798C4—2921no—
1799C4—2921no—
1800C4—2921no—
1801C4—732no—
1802C4—1461no—
1803C4—1462no—
1804C4—1461no—
1805C4—1461no—
1806C4—1461no—
1807C4C2×#41×D7311yescharacteristic
1808C4H(5,𝔽2)×D7311yescharacteristic
1809C2—41no—
1810C2—41no—
1811C2—81no—
1812C2—81no—
1813C2—81no—
1814C2—2921no—
1815C2—2921no—
1816C2—5841no—
1817C2—1462no—
1818C2#546×D7311yescharacteristic
1819C2#2262469911yescharacteristic
1820C2#2262470011yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3305C2
socleC22×C73C23×D4
hypercenter#3305D73
hypocenterC73#61170
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3305

Complements

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

NH ≅ G/Ntype
1. #22623642C2semidirect
2. #22623584C2semidirect
3. #22622121C2semidirect
4. #22622111C2semidirect
5. #22622057C2semidirect
6. #22622055C2semidirect
7. #22622000C2semidirect
8. #22621994C2semidirect
9. #22621944C2semidirect
10. #22621930C2semidirect
11. #22621876C2semidirect
12. #22621869C2semidirect
13. #22621866C2semidirect
14. #22621839C2semidirect
15. #22621838C2semidirect
16. #22621820C2semidirect
17. #22621819C2semidirect
18. #22620280C2semidirect
19. #22619886C2semidirect
20. #22619859C2semidirect
21. #22619768C2semidirect
22. #22619610C2semidirect
23. #22619510C2semidirect
24. #22619465C2semidirect
25. #22619244C2semidirect
26. #22619169C2semidirect
27. #22618767C2semidirect
28. #22618620C2semidirect
29. #22618460C2semidirect
30. #416×D73C2semidirect
31. C73×#3305C2semidirect
39. #17989311C22semidirect
41. #17989305C22semidirect
42. #17989301C22semidirect
44. #17989289C22semidirect
45. #17989287C22semidirect
47. #17989277C22semidirect
48. #17989276C22semidirect
80. #17988951C22semidirect
81. #17988950C22semidirect
82. #17988949C22semidirect
83. #17988945C22semidirect
84. #17988942C22semidirect
85. #17988940C22semidirect
86. #17988932C22semidirect
87. #17988931C22semidirect
88. #17988930C22semidirect
89. #17988929C22semidirect
90. #17988928C22semidirect
91. #17988914C22semidirect
92. #17988911C22semidirect
93. #17988910C22semidirect
94. #17988909C22semidirect
95. #17988909C22semidirect
96. #17988908C22semidirect
97. #17988907C22semidirect
98. #17988903C22semidirect
99. #17988901C22semidirect
100. #17988899C22semidirect
101. #17988896C22semidirect
102. #17988895C22semidirect
103. #17988894C22semidirect
104. #17988893C22semidirect
105. #17988881C22semidirect
106. #17988870C22semidirect
107. #17988869C22semidirect
108. #17988838C22semidirect
109. #17988837C22semidirect
110. #17988834C22semidirect
111. #17988831C22semidirect
112. #17988829C22semidirect
113. #17988828C22semidirect
114. #17988822C22semidirect
115. #17988820C22semidirect
116. #17988816C22semidirect
117. #17988815C22semidirect
118. #17988815C22semidirect
119. #17988815C22semidirect
120. #17988814C22semidirect
121. #17988814C22semidirect
122. #17988810C22semidirect
123. #17988808C22semidirect
124. #17988802C22semidirect
125. #17988800C22semidirect
126. #17988786C22semidirect
127. #17988784C22semidirect
128. #17988780C22semidirect
132. #17988750C22semidirect
134. #17988749C22semidirect
135. #17988745C22semidirect
136. #17988744C22semidirect
140. #17988729C22semidirect
141. #17988725C22semidirect
142. #17988724C22semidirect
143. #17988693C22semidirect
144. #17988692C22semidirect
145. #17988688C22semidirect
146. #17988687C22semidirect
147. C4×Dic292C22semidirect
148. #17988679C22semidirect
149. #17988678C22semidirect
150. #17988661C22semidirect
151. #17988659C22semidirect
152. #17988657C22semidirect
153. #17988655C22semidirect
154. C8×D292C22semidirect
155. C8×C22⋊D73C22semidirect
156. C8×C22⋊D73C22semidirect
161. #17988595C22semidirect
163. #17988594C22semidirect
165. #17988588C22semidirect
168. #17988585C22semidirect
178. #17988580C22semidirect
179. C2×#14556516C22semidirect
182. #103×D73C22semidirect
188. #555×C73C22semidirect
190. #486×C73C22semidirect
191. #482×C73C22semidirect
192. #482×C73C22semidirect
193. #477×C73C22semidirect
194. #466×C73C22semidirect
195. #466×C73C22semidirect
196. #459×C73C22semidirect
198. #449×C73C22semidirect
199. C4×SD16×C73C22semidirect
200. C8×D4×C73C22semidirect
202. #416×C73C22semidirect
922. #3305D73semidirect
942. C73#61170semidirect
955. #555C2×D73semidirect
1000. #486C2×D73semidirect
1011. #482C2×D73semidirect
1012. #482C2×D73semidirect
1022. #477C2×D73semidirect
1033. #466C2×D73semidirect
1034. #466C2×D73semidirect
1048. #459C2×D73semidirect
1062. #449C2×D73semidirect
1072. C4×SD16C2×D73semidirect
1080. C8×D4C2×D73semidirect
1104. #416C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226236422
#226235842
#226221212
#226221112
#226220572
#226220552
#226220002
#226219942
#226219442
#226219302
#226218762
#226218692
#226218662
#226218392
#226218382
#226218202
#226218192
#226202802
#226198862
#226198592
#226197682
#226196102
#226195102
#226194652
#226192442
#226191692
#226187672
#226186202
#226184602
#416×D732
C73×#33052
#6117073