Finite Group Databasebeta

← #33978850

Subgroups — #33978850

Order 18688.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1786 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623799C211yesmaximal, characteristic, complemented
2#22623550C211yesmaximal, characteristic, complemented
3#22622987C211yesmaximal, characteristic, complemented
4#22622985C211yesmaximal, characteristic, complemented
5#22622726C211yesmaximal, characteristic, complemented
6#22622720C211yesmaximal, characteristic, complemented
7#22621970C211yesmaximal, characteristic, complemented
8#22621968C211yesmaximal, characteristic, complemented
9#22621961C211yesmaximal, characteristic, complemented
10#22621868C211yesmaximal, characteristic, complemented
11#22621866C211yesmaximal, characteristic, complemented
12#22621658C211yesmaximal, characteristic, complemented
13#22621654C211yesmaximal, characteristic, complemented
14#22621463C211yesmaximal, characteristic, complemented
15#22621461C211yesmaximal, characteristic, complemented
16#22621454C211yesmaximal, characteristic, complemented
17#22621452C211yesmaximal, characteristic, complemented
18#22621321C211yesmaximal, characteristic, complemented
19#22621249C211yesmaximal, characteristic, complemented
20#22621242C211yesmaximal, characteristic, complemented
21#22620943C211yesmaximal, characteristic, complemented
22#22620939C211yesmaximal, characteristic, complemented
23#22620870C211yesmaximal, characteristic, complemented
24#22620080C211yesmaximal, characteristic, complemented
25#22620077C211yesmaximal, characteristic, complemented
26#22619997C211yesmaximal, characteristic, complemented
27#22619410C211yesmaximal, characteristic, complemented
28#22619385C211yesmaximal, characteristic, complemented
29#22619384C211yesmaximal, characteristic, complemented
30#22619051C211yesmaximal, characteristic, complemented
31C73×#3311C211yesmaximal, characteristic, complemented
32C2×#14556619C2211yescharacteristic
33C2×#14556617C2211yescharacteristic
34C2×#14556614C2211yescharacteristic, complemented
35C2×#14556613C2211yescharacteristic, complemented
36C2×#14556612C2211yescharacteristic, complemented
37C2×#14556611C2211yescharacteristic, complemented
38#17989321—21no—
39#17989320C2211yescharacteristic
40#17989319C2211yescharacteristic
41#17989315C2211yescharacteristic, complemented
42#17989305C2211yescharacteristic
43#17989305C2211yescharacteristic, complemented
44#17989278—21no—
45#17989273—21no—
46#17989273—21no—
47#17989256C2211yescharacteristic
48#17989255—21no—
49#17989255C2211yescharacteristic
50#17989252C2211yescharacteristic, complemented
51#17989245—21no—
52#17989242C2211yescharacteristic
53#17989239C2211yescharacteristic
54#17989239C2211yescharacteristic, complemented
55#17989233C2211yescharacteristic
56#17989231C2211yescharacteristic
57#17989228C2211yescharacteristic
58#17989227—21no—
59#17989224—21no—
60#17989189—21no—
61#17989187—21no—
62#17989152—21no—
63#17989142C2211yescharacteristic, complemented
64#17989139C2211yescharacteristic
65#17989139C2211yescharacteristic
66#17989139C2211yescharacteristic, complemented
67#17989136C2211yescharacteristic
68#17989134C2211yescharacteristic
69#17989133C2211yescharacteristic
70#17989132C2211yescharacteristic
71C2×#14556587C2211yescharacteristic
72#17989120—21no—
73#17989120—21no—
74#17989116—21no—
75#17989060—21no—
76C4×#11924029C2211yescharacteristic, complemented
77#17989055C2211yescharacteristic
78#17989055C2211yescharacteristic, complemented
79C4×#11924027C2211yescharacteristic
80C4×Q8×D73—21no—
81#17988982C2211yescharacteristic, complemented
82#17988981C2211yescharacteristic, complemented
83#17988980C2211yescharacteristic, complemented
84#17988978C2211yescharacteristic, complemented
85#17988958C2211yescharacteristic
86#17988958C2211yescharacteristic
87#17988949C2211yescharacteristic, complemented
88#17988948C2211yescharacteristic, complemented
89#17988945C2211yescharacteristic, complemented
90#17988932C2211yescharacteristic
91#17988932C2211yescharacteristic
92#17988928C2211yescharacteristic
93#17988914C2211yescharacteristic, complemented
94#17988911C2211yescharacteristic, complemented
95#17988910C2211yescharacteristic, complemented
96#17988876C2211yescharacteristic, complemented
97#17988875C2211yescharacteristic, complemented
98#17988874C2211yescharacteristic, complemented
99#17988871C2211yescharacteristic, complemented
100#17988871C2211yescharacteristic, complemented
101#17988871C2211yescharacteristic, complemented
102#17988870C2211yescharacteristic, complemented
103#17988870C2211yescharacteristic, complemented
104#17988866C2211yescharacteristic, complemented
105#17988845C2211yescharacteristic
106#17988843C2211yescharacteristic
107#17988843C2211yescharacteristic
108#17988818C2211yescharacteristic, complemented
109#17988817C2211yescharacteristic, complemented
110#17988817C2211yescharacteristic, complemented
111#17988816C2211yescharacteristic, complemented
112#17988815C2211yescharacteristic, complemented
113#17988815C2211yescharacteristic, complemented
114#17988814C2211yescharacteristic, complemented
115#17988812C2211yescharacteristic, complemented
116#17988809C2211yescharacteristic, complemented
117#17988808C2211yescharacteristic, complemented
118#17988805C2211yescharacteristic, complemented
119#17988803C2211yescharacteristic, complemented
120#17988801C2211yescharacteristic, complemented
121#17988799C2211yescharacteristic, complemented
122#17988796C2211yescharacteristic, complemented
123#17988796C2211yescharacteristic, complemented
124#17988796C2211yescharacteristic, complemented
125#17988795C2211yescharacteristic, complemented
126#17988795C2211yescharacteristic, complemented
127#17988793C2211yescharacteristic, complemented
128#17988792C2211yescharacteristic, complemented
129#17988791C2211yescharacteristic, complemented
130#17988791C2211yescharacteristic, complemented
131#17988790C2211yescharacteristic, complemented
132#17988786C2211yescharacteristic
133#17988786C2211yescharacteristic
134#17988786C2211yescharacteristic
135#17988786C2211yescharacteristic
136#17988786C2211yescharacteristic
137#17988786C2211yescharacteristic
138#17988785C2211yescharacteristic
139#17988785C2211yescharacteristic
140#17988781C2211yescharacteristic
141#17988781C2211yescharacteristic
142#17988781C2211yescharacteristic
143#17988781C2211yescharacteristic
144#17988752C2211yescharacteristic, complemented
145#17988752C2211yescharacteristic, complemented
146#17988751C2211yescharacteristic
147#17988751C2211yescharacteristic, complemented
148#17988750C2211yescharacteristic, complemented
149#17988750C2211yescharacteristic, complemented
150#17988749C2211yescharacteristic, complemented
151#17988747C2211yescharacteristic
152#17988747C2211yescharacteristic, complemented
153#17988740C2211yescharacteristic
154#17988738C2211yescharacteristic
155#17988737C2211yescharacteristic
156#17988735C2211yescharacteristic, complemented
157#17988734C2211yescharacteristic, complemented
158#17988731C2211yescharacteristic, complemented
159#17988730C2211yescharacteristic, complemented
160#17988716C2211yescharacteristic, complemented
161#17988715C2211yescharacteristic, complemented
162#17988700C2211yescharacteristic, complemented
163#17988698C2211yescharacteristic, complemented
164#17988697C2211yescharacteristic, complemented
165#17988696C2211yescharacteristic, complemented
166#17988686C2211yescharacteristic, complemented
167#17988685C2211yescharacteristic, complemented
168#17988684C2211yescharacteristic, complemented
169#17988681C2211yescharacteristic, complemented
170#17988679C2211yescharacteristic, complemented
171#17988674C2211yescharacteristic, complemented
172#17988672C2211yescharacteristic, complemented
173#17988661C2211yescharacteristic
174#17988659C2211yescharacteristic
175#17988656C2211yescharacteristic
176C8×C22⋊D73C2211yescharacteristic, complemented
177#17988650C2211yescharacteristic, complemented
178#17988642C2211yescharacteristic, complemented
179#17988641C2211yescharacteristic, complemented
180#17988637C2211yescharacteristic
181#17988610C2211yescharacteristic
182C2×#14556520C2211yescharacteristic, complemented
183C4⋊C8×D73C2211yescharacteristic, complemented
184#17988591C2211yescharacteristic
185#17988582C2211yescharacteristic, complemented
186#17988581C2211yescharacteristic, complemented
187#17988580C2211yescharacteristic, complemented
188#556×C73C2211yescharacteristic
189#546×C73C2211yescharacteristic
190#489×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic
192#482×C73C2211yescharacteristic, complemented
193#476×C73C2211yescharacteristic, complemented
194#470×C73C2211yescharacteristic
195#465×C73C2211yescharacteristic, complemented
196#464×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#450×C73C2211yescharacteristic
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic
201#418×C73C2211yescharacteristic
202#416×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×#11924028C2311yescharacteristic
207C2×#11924028C2311yescharacteristic
208C2×#11924028C2311yescharacteristic
209C2×#11924027—21no—
210C2×#11924027D411yescharacteristic
211C2×#11924027C2311yescharacteristic
212C2×Q8×D73—21no—
213C22×D292C2311yescharacteristic
214C22×C22⋊D73—21no—
215C22×C22⋊D73—21no—
216#14556619—42no—
217#14556617—42no—
218#14556614—42no—
219#14556613—42no—
220#14556612—42no—
221#14556611—42no—
222C2×Dic292C2311yescharacteristic
223C2×Dic292C2311yescharacteristic
224C2×#11924018C2311yescharacteristic
225C2×#11924018C2311yescharacteristic
226C2×#11924018C2311yescharacteristic
227C2×#11924017C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924017C2311yescharacteristic
230C2×#11924017C2311yescharacteristic
231C2×#11924017C2311yescharacteristic
232C2×#11924016C2311yescharacteristic
233C2×#11924016C2311yescharacteristic
234C2×#11924016C2311yescharacteristic
235C2×#11924016C2311yescharacteristic
236C2×#11924015C2311yescharacteristic
237C2×#11924015C2311yescharacteristic
238C2×#11924015C2311yescharacteristic
239C2×D584C2311yescharacteristic
240C2×D584C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242C2×#11924013C2311yescharacteristic
243C2×#11924012C2311yescharacteristic
244C22×#10596831C2311yescharacteristic
245C2×C8×D73C2311yescharacteristic
246C2×C8×D73C2311yescharacteristic
247#14556591C2311yescharacteristic
248#14556590C2311yescharacteristic
249#14556590C2311yescharacteristic
250#14556590C2311yescharacteristic
251#14556589C2311yescharacteristic
252#14556589C2311yescharacteristic
253#14556589C2311yescharacteristic
254#14556587—21no—
255#14556587—21no—
256#14556587—21no—
257#14556587—21no—
258#14556587C2311yescharacteristic
259#14556587C2311yescharacteristic
260#14556587C2311yescharacteristic
261#14556587C2311yescharacteristic
262#14556585—21no—
263#14556585—21no—
264#14556584—21no—
265#14556584—21no—
266#14556583—21no—
267#14556582—21no—
268#14556581—21no—
269#14556581—21no—
270#14556581—21no—
271#14556581—21no—
272#14556581—21no—
273#14556580C2311yescharacteristic
274#14556579C2311yescharacteristic
275#14556578C2311yescharacteristic
276#14556577—21no—
277#14556577—21no—
278#14556577—21no—
279#14556577—21no—
280#14556577—21no—
281#14556577—21no—
282#14556576—21no—
283#14556576—21no—
284#14556576—21no—
285#14556576—21no—
286#14556575—21no—
287#14556574—21no—
288#14556573—21no—
289#14556573—21no—
290#14556573—21no—
291#14556573—21no—
292#14556573—21no—
293#14556573—21no—
294#14556572—21no—
295#14556571C2311yescharacteristic
296#14556571C2311yescharacteristic
297#14556570C2311yescharacteristic
298#14556570C2311yescharacteristic
299#14556570C2311yescharacteristic
300#14556569—21no—
301#14556569—21no—
302#14556568—21no—
303#14556568—21no—
304#14556568—21no—
305#14556567—21no—
306#14556567—21no—
307#14556566—21no—
308#14556566C2311yescharacteristic
309#14556565—21no—
310#14556565C2311yescharacteristic
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556564—21no—
316#14556564—21no—
317#14556564—21no—
318#14556563—21no—
319#14556563—21no—
320#14556563—21no—
321#14556563—21no—
322#14556563—21no—
323#14556562—21no—
324#14556562—21no—
325#14556562C2311yescharacteristic
326#14556561—21no—
327#14556560—21no—
328#14556559—21no—
329Q8×Dic73—21no—
330Q8×Dic73C2311yescharacteristic
331Q8×Dic73C2311yescharacteristic
332C4×Dic146—21no—
333C4×Dic146—21no—
334C4×Dic146—21no—
335C4×Dic146C2311yescharacteristic
336#14556556—21no—
337#14556556—21no—
338#14556556—21no—
339#14556556D411yescharacteristic
340#14556556C2311yescharacteristic
341#14556556C2311yescharacteristic
342#14556556C2311yescharacteristic
343#14556556C2311yescharacteristic
344#14556556C2311yescharacteristic
345C4×D292—21no—
346C4×D292C2311yescharacteristic
347C4×D292C2311yescharacteristic
348D4×Dic73D411yescharacteristic
349D4×Dic73C2311yescharacteristic
350#14556553—21no—
351#14556553C2311yescharacteristic
352#14556553C2311yescharacteristic
353#14556553C2311yescharacteristic
354#14556553C2311yescharacteristic
355C4×C22⋊D73—21no—
356C4×C22⋊D73—21no—
357C4×C22⋊D73—21no—
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73C2311yescharacteristic
361C4×C22⋊D73C2311yescharacteristic
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556551—21no—
368#14556551—21no—
369#14556551—21no—
370#14556551—21no—
371#14556551D411yescharacteristic
372#14556551D411yescharacteristic
373#14556549—21no—
374#14556549—21no—
375#14556549D411yescharacteristic
376#14556549C2311yescharacteristic
377#14556548—21no—
378#14556548—21no—
379#14556547—21no—
380#14556547—21no—
381#14556547—21no—
382#14556547D411yescharacteristic
383#14556547D411yescharacteristic
384C4⋊C4×D73—21no—
385C4⋊C4×D73—21no—
386C4⋊C4×D73—21no—
387C2×C22⋊Dic73—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C2×C4×Dic73C2311yescharacteristic
391C2×C4×Dic73C2311yescharacteristic
392C42×D73—21no—
393C42×D73—21no—
394C42×D73—21no—
395C42×D73C2311yescharacteristic
396#14556524C2311yescharacteristic
397#14556523C2311yescharacteristic
398#14556522C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556502C2311yescharacteristic
437#14556501C2311yescharacteristic
438#14556501C2311yescharacteristic
439C8×Dic73C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C2×#41×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443C2×Q16×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×M16×C73C2311yescharacteristic
447C22×C8×C73C2311yescharacteristic
448C4⋊Q8×C73C2311yescharacteristic
449#126×C73—21no—
450#126×C73—21no—
451#124×C73—21no—
452#124×C73C2311yescharacteristic
453#123×C73—21no—
454C22⋊Q8×C73C2311yescharacteristic
455C22⋊Q8×C73C2311yescharacteristic
456C22⋊Q8×C73C2311yescharacteristic
457#121×C73—21no—
458#121×C73C2311yescharacteristic
459#120×C73—21no—
460C4×Q8×C73—21no—
461C4×Q8×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463C4×D4×C73C2311yescharacteristic
464#117×C73C2311yescharacteristic
465#117×C73C2311yescharacteristic
466C2×C22⋊C4×C73—21no—
467#107×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483#97×C73C2311yescharacteristic
484C23×D73—21no—
485#11924029—22no—
486#11924029—41no—
487#11924029—41no—
488#11924029—41no—
489#11924028—22no—
490#11924028—22no—
491#11924028—41no—
492#11924028—41no—
493#11924028—41no—
494#11924028—41no—
495#11924028—82no—
496#11924027—41no—
497#11924027—41no—
498#11924027—42no—
499#11924027—82no—
500C2×Dic146—21no—
501C2×Dic146—21no—
502C2×Dic146—21no—
503C2×Dic146C2×D411yescharacteristic
504C2×Dic146C2411yescharacteristic
505C2×Dic146C2411yescharacteristic
506C2×Dic146C2411yescharacteristic
507Q8×D73—44no—
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—21no—
512C2×D292—41no—
513C2×D292—41no—
514C2×D292C2411yescharacteristic
515C2×D292C2411yescharacteristic
516C2×D292C2411yescharacteristic
517C2×C22⋊D73—21no—
518C2×C22⋊D73—21no—
519C2×C22⋊D73—21no—
520C2×C22⋊D73—21no—
521C2×C22⋊D73—21no—
522C2×C22⋊D73—21no—
523C2×C22⋊D73—21no—
524C2×C22⋊D73—21no—
525C2×C22⋊D73—21no—
526C2×C22⋊D73—21no—
527C2×C22⋊D73—21no—
528C2×C22⋊D73—21no—
529C2×C22⋊D73—21no—
530C2×C22⋊D73—21no—
531C2×C22⋊D73—44no—
532C2×C22⋊D73—82no—
533C2×C22⋊D73C2×D411yescharacteristic
534C2×C22⋊D73C2×D411yescharacteristic
535C22×Dic73—21no—
536C22×Dic73—21no—
537C22×Dic73C2×D411yescharacteristic
538C22×Dic73C2×D411yescharacteristic
539C22×Dic73C2×D411yescharacteristic
540C22×Dic73C2×D411yescharacteristic
541C2×C4×D73—21no—
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73—21no—
547C2×C4×D73—21no—
548C2×C4×D73—21no—
549C2×C4×D73—21no—
550C2×C4×D73—21no—
551C2×C4×D73—21no—
552C2×C4×D73C2×D411yescharacteristic
553C2×C4×D73C2×D411yescharacteristic
554C2×C4×D73C2411yescharacteristic
555Dic292—41no—
556Dic292—41no—
557#11924018—41no—
558#11924018—41no—
559#11924018—41no—
560#11924017—22no—
561#11924017—41no—
562#11924017—41no—
563#11924017—41no—
564#11924017—41no—
565#11924016—41no—
566#11924016—41no—
567#11924016—41no—
568#11924016—41no—
569#11924015—22no—
570#11924015—41no—
571#11924015—41no—
572D584—22no—
573D584—22no—
574#11924013—22no—
575#11924013—22no—
576#11924012—41no—
577C2×#10596831—41no—
578C2×#10596831C2411yescharacteristic
579C2×#10596831C2411yescharacteristic
580C2×#10596831C2411yescharacteristic
581C2×#10596831C2411yescharacteristic
582C8×D73—41no—
583C8×D73—41no—
584C4⋊Dic73—21no—
585C4⋊Dic73—21no—
586C4⋊Dic73—21no—
587C4⋊Dic73—21no—
588C4⋊Dic73—21no—
589C4⋊Dic73—21no—
590C4⋊Dic73C2×D411yescharacteristic
591C4⋊Dic73C2411yescharacteristic
592C4⋊Dic73C2411yescharacteristic
593#11924007—21no—
594#11924007—21no—
595#11924007—21no—
596#11924007—21no—
597#11924007—21no—
598#11924007—21no—
599#11924007—21no—
600#11924007—21no—
601#11924007—21no—
602#11924007—21no—
603#11924007—21no—
604#11924007—21no—
605#11924007—21no—
606#11924007—21no—
607#11924007—21no—
608#11924007—21no—
609#11924007—21no—
610#11924007C2×D411yescharacteristic
611#11924007C2×D411yescharacteristic
612#11924007C2×D411yescharacteristic
613#11924007C2×D411yescharacteristic
614C22⋊Dic73—21no—
615C22⋊Dic73—21no—
616C22⋊Dic73—21no—
617C22⋊Dic73—21no—
618C22⋊Dic73—21no—
619C22⋊Dic73—21no—
620C22⋊Dic73—21no—
621C22⋊Dic73C2×D411yescharacteristic
622C22⋊Dic73C2×D411yescharacteristic
623#11924005—21no—
624#11924005—21no—
625#11924005—21no—
626#11924005—21no—
627#11924005—21no—
628#11924005—21no—
629#11924005—21no—
630#11924005—21no—
631#11924005—21no—
632#11924005—21no—
633#11924005—21no—
634#11924005—21no—
635#11924005—21no—
636#11924005—21no—
637#11924005—21no—
638#11924005C2×D411yescharacteristic
639#11924005C2×D411yescharacteristic
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73—21no—
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2×D411yescharacteristic
653C4×Dic73C2×D411yescharacteristic
654C4×Dic73C2411yescharacteristic
655C4×Dic73C2411yescharacteristic
656C4×Dic73C2411yescharacteristic
657C24×C73—21no—
658#41×C73—41no—
659#41×C73—41no—
660C2×Q8×C73—21no—
661C2×Q8×C73C2411yescharacteristic
662C2×Q8×C73C2411yescharacteristic
663C2×D4×C73—21no—
664C2×D4×C73—21no—
665C2×D4×C73—21no—
666C2×D4×C73—41no—
667C2×D4×C73—41no—
668C2×D4×C73C2×D411yescharacteristic
669C2×D4×C73C2411yescharacteristic
670C2×D4×C73C2411yescharacteristic
671C22×C4×C73—21no—
672C22×C4×C73—21no—
673C22×C4×C73C2411yescharacteristic
674C22×C4×C73C2411yescharacteristic
675Q16×C73—41no—
676SD16×C73—41no—
677SD16×C73—41no—
678M16×C73—41no—
679C2×C8×C73—41no—
680C2×C8×C73C2411yescharacteristic
681C2×C8×C73C2411yescharacteristic
682C2×C8×C73C2411yescharacteristic
683C2×C8×C73C2411yescharacteristic
684C4⋊C4×C73—21no—
685C4⋊C4×C73—21no—
686C4⋊C4×C73—21no—
687C4⋊C4×C73—21no—
688C4⋊C4×C73—21no—
689C4⋊C4×C73C2×D411yescharacteristic
690C4⋊C4×C73C2411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C4⋊C4×C73C2411yescharacteristic
693C4⋊C4×C73C2411yescharacteristic
694C22⋊C4×C73—21no—
695C22⋊C4×C73—21no—
696C22⋊C4×C73—21no—
697C22⋊C4×C73—21no—
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73C2×D411yescharacteristic
704C22⋊C4×C73C2×D411yescharacteristic
705C42×C73—21no—
706C42×C73—21no—
707C42×C73—21no—
708C42×C73C2411yescharacteristic
709C23×C73—21no—
710C23×C73—21no—
711C23×C73—42no—
712C23×C73—81no—
713C23×C73—81no—
714C23×C73C22×D411yescharacteristic
715C23×C73C22×D411yescharacteristic
716C22×D73—21no—
717C22×D73—21no—
718C22×D73—21no—
719C22×D73—42no—
720C22×D73—81no—
721C22×D73—81no—
722C22×D73C22×D411yescharacteristic
723Q8×C73—21no—
724Q8×C73—21no—
725Q8×C73—21no—
726Q8×C73—21no—
727Q8×C73—42no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—41no—
733D4×C73—81no—
734D4×C73—81no—
735D4×C73—81no—
736C2×C4×C73—21no—
737C2×C4×C73—21no—
738C2×C4×C73—21no—
739C2×C4×C73—21no—
740C2×C4×C73—21no—
741C2×C4×C73—21no—
742C2×C4×C73—21no—
743C2×C4×C73—21no—
744C2×C4×C73—21no—
745C2×C4×C73—21no—
746C2×C4×C73—81no—
747C2×C4×C73—81no—
748C2×C4×C73C22×D411yescharacteristic
749C2×C4×C73C22×D411yescharacteristic
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C2511yescharacteristic
753C22⋊D73—22no—
754C22⋊D73—41no—
755C22⋊D73—42no—
756C22⋊D73—42no—
757C22⋊D73—42no—
758C22⋊D73—42no—
759C22⋊D73—42no—
760C22⋊D73—42no—
761C22⋊D73—42no—
762C22⋊D73—42no—
763C22⋊D73—81no—
764C22⋊D73—81no—
765C22⋊D73—81no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C2×Dic73—22no—
770C2×Dic73—22no—
771C2×Dic73—22no—
772C2×Dic73—21no—
773C2×Dic73—21no—
774C2×Dic73—21no—
775C2×Dic73—21no—
776C2×Dic73—21no—
777C2×Dic73—41no—
778C2×Dic73—81no—
779C2×Dic73—81no—
780C2×Dic73C22×D411yescharacteristic
781C2×Dic73C22×D411yescharacteristic
782C2×Dic73C22×D411yescharacteristic
783C2×Dic73C22×D411yescharacteristic
784C2×Dic73C22×D411yescharacteristic
785C2×Dic73C22×D411yescharacteristic
786C2×Dic73C22×D411yescharacteristic
787D292—21no—
788D292—21no—
789D292—21no—
790D292—21no—
791D292—21no—
792D292—42no—
793D292—81no—
794D292—81no—
795D292—81no—
796D292H(5,𝔽2)12yes—
797C4×D73—21no—
798C4×D73—21no—
799C4×D73—22no—
800C4×D73—41no—
801C4×D73—42no—
802C4×D73—42no—
803C4×D73—42no—
804C4×D73—42no—
805C4×D73—42no—
806C4×D73—42no—
807C4×D73—42no—
808C4×D73—81no—
809C4×D73—81no—
810C4×D73—81no—
811C4×D73—81no—
812Dic146—22no—
813Dic146—21no—
814Dic146—21no—
815Dic146—21no—
816Dic146—21no—
817Dic146—21no—
818Dic146—21no—
819Dic146—42no—
820Dic146—42no—
821Dic146—42no—
822C8×C73—21no—
823C8×C73—21no—
824C8×C73—21no—
825C8×C73—21no—
826#10596831—21no—
827#10596831—21no—
828#10596831—21no—
829#10596831—21no—
830C22×C73—21no—
831C22×C73—21no—
832C22×C73—21no—
833C22×C73—21no—
834C22×C73—21no—
835C22×C73—21no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—41no—
841C22×C73—41no—
842C22×C73—162no—
843C22×C73C23×D411yescharacteristic
844C2×D73—21no—
845C2×D73—22no—
846C2×D73—21no—
847C2×D73—21no—
848C2×D73—41no—
849C2×D73—41no—
850C2×D73—41no—
851C2×D73—41no—
852C2×D73—41no—
853C2×D73—41no—
854C2×D73—41no—
855C2×D73—41no—
856C2×D73—162no—
857C4×C73—21no—
858C4×C73—21no—
859C4×C73—21no—
860C4×C73—21no—
861C4×C73—41no—
862C4×C73—41no—
863C4×C73—41no—
864C4×C73—41no—
865C4×C73—41no—
866C4×C73—41no—
867C4×C73C2×H(5,𝔽2)11yescharacteristic
868C4×C73#58511yescharacteristic
869Dic73—21no—
870Dic73—21no—
871Dic73—21no—
872Dic73—21no—
873Dic73—21no—
874Dic73—41no—
875Dic73—41no—
876Dic73—41no—
877Dic73—41no—
878Dic73—41no—
879Dic73#57512yes—
880Dic73#57712yes—
881#61986—731nomaximal, Sylow
882C2×C73—41no—
883C2×C73—41no—
884C2×C73—81no—
885C2×C73—81no—
886C2×C73#348811yescharacteristic
887C2×C73C2×#57511yescharacteristic
888C2×C73C2×#57711yescharacteristic
889D73—41no—
890D73—42no—
891D73—81no—
892D73—81no—
893#3508—731no—
894#3482—731no—
895#3400—731no—
896#3400—731no—
897#3373—731no—
898#3373—731no—
899#3311—731no—
900#3311—731no—
901#3311—731no—
902#3311D7311yescharacteristic, complemented
903#3304—731no—
904#3304—731no—
905#3284—731no—
906#3284—731no—
907#3267—731no—
908#3267—731no—
909#3267—731no—
910#3267—731no—
911#3255—731no—
912#3246—731no—
913#3246—731no—
914#3216—731no—
915#3216—731no—
916#3208—731no—
917#3115—731no—
918#3115—731no—
919#3107—731no—
920#3038—731no—
921#3035—731no—
922#3035—731no—
923#2990—731no—
924C73#6198611yescharacteristic, complemented, Sylow
925C2×AGL(1,ℤ/8)—731no—
926C2×AGL(1,ℤ/8)—731no—
927C2×#135—731no—
928C2×#135—731no—
929C2×#135—731no—
930C2×#135—731no—
931#559—731no—
932#559—731no—
933#559—1461no—
934#557—731no—
935#556—731no—
936#556—731no—
937#556C2×D7311yescharacteristic
938#552—1461no—
939#552—1461no—
940#552—1461no—
941#550—731no—
942#550—731no—
943#550—1461no—
944D4×Q8—731no—
945#548—1461no—
946#547—731no—
947#547—731no—
948#547—731no—
949#546—731no—
950#546—731no—
951#546—731no—
952#546—1461no—
953#546—1461no—
954#546C2×D7311yescharacteristic
955#540—1461no—
956#540—1461no—
957#535—1461no—
958#533—731no—
959#533—731no—
960#533—731no—
961#533—731no—
962#532—731no—
963#532—731no—
964#532—731no—
965#532—731no—
966C2×#127—731no—
967#529—1461no—
968#529—1461no—
969#529—1461no—
970#518—1461no—
971C4×#41—731no—
972C4×#41—731no—
973C4×#41—731no—
974C4×#41—731no—
975C2×C4×Q8—1461no—
976#497—731no—
977#497—731no—
978#497—731no—
979#497—731no—
980#492—731no—
981#492—731no—
982#489—731no—
983#489—731no—
984#489—731no—
985#489C2×D7311yescharacteristic, complemented
986#486—731no—
987#486—731no—
988#485—731no—
989#485C2×D7311yescharacteristic
990#482—731no—
991#482—731no—
992#482—731no—
993#482C2×D7311yescharacteristic, complemented
994#476—731no—
995#476—731no—
996#476—731no—
997#476C2×D7311yescharacteristic, complemented
998#475—731no—
999#475—731no—
1000#475—731no—
1001#475—731no—
1002#475—731no—
1003#474—731no—
1004#470—731no—
1005#470—731no—
1006#470—731no—
1007#470C2×D7311yescharacteristic
1008#465—731no—
1009#465—731no—
1010#465—731no—
1011#465—731no—
1012#465—731no—
1013#465—731no—
1014#465—731no—
1015#465C2×D7311yescharacteristic, complemented
1016#464—731no—
1017#464—731no—
1018#464—731no—
1019#464C2×D7311yescharacteristic, complemented
1020#463—731no—
1021#463—731no—
1022#463—731no—
1023#463—731no—
1024#462—731no—
1025#462—731no—
1026#462—731no—
1027#462—731no—
1028#462—731no—
1029#461—731no—
1030#461—731no—
1031#461—731no—
1032#461—731no—
1033#461—731no—
1034#460—731no—
1035#460—731no—
1036#460—731no—
1037#460—731no—
1038#460—731no—
1039#460—731no—
1040#460—731no—
1041#460—731no—
1042#459—731no—
1043#459—731no—
1044#459—731no—
1045#459—731no—
1046#452—731no—
1047#452—731no—
1048#452—731no—
1049#452—731no—
1050#452—731no—
1051#452—731no—
1052#452—731no—
1053#452—731no—
1054#452—731no—
1055#452C2×D7311yescharacteristic, complemented
1056#450—731no—
1057#450—731no—
1058#450—731no—
1059#450C2×D7311yescharacteristic
1060#449—731no—
1061#449—731no—
1062#449—731no—
1063#449—731no—
1064#446—731no—
1065#446—731no—
1066#442—731no—
1067#442—731no—
1068#442—731no—
1069#442—731no—
1070#440—731no—
1071#440—731no—
1072#440—731no—
1073#440C2×D7311yescharacteristic, complemented
1074C4×Q16—731no—
1075C4×Q16—731no—
1076C4×SD16—731no—
1077C4×SD16—731no—
1078#435—731no—
1079#435—731no—
1080#435—731no—
1081#435C2×D7311yescharacteristic
1082C8×D4—731no—
1083C8×D4—731no—
1084#432—731no—
1085#432—731no—
1086#431—731no—
1087#423—731no—
1088C2×C4⋊C8—731no—
1089C2×C4⋊C8—731no—
1090#418—731no—
1091#418C2×D7311yescharacteristic
1092#416—731no—
1093#416—731no—
1094#416—731no—
1095#416C2×D7311yescharacteristic, complemented
1096C2×#41—731no—
1097C2×#41—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—731no—
1102C2×#41—731no—
1103C2×#41—1461no—
1104C2×#41—1461no—
1105C2×#41C22×D7311yescharacteristic
1106C22×Q8—1461no—
1107C22×D4—731no—
1108C22×D4—1461no—
1109C22×D4—1461no—
1110C22×D4C22×D7311yescharacteristic
1111AGL(1,ℤ/8)—2922no—
1112AGL(1,ℤ/8)—2922no—
1113#135—2922no—
1114#135—2922no—
1115#135—2922no—
1116#135—2922no—
1117C2×Q16—731no—
1118C2×Q16—731no—
1119C2×Q16—731no—
1120C2×Q16—731no—
1121C2×Q16—731no—
1122C2×Q16C22×D7311yescharacteristic
1123C2×SD16—731no—
1124C2×SD16—731no—
1125C2×SD16—731no—
1126C2×SD16—731no—
1127C2×SD16—731no—
1128C2×SD16—731no—
1129C2×SD16—731no—
1130C2×SD16—731no—
1131C2×SD16—731no—
1132C2×SD16—731no—
1133C2×SD16—731no—
1134C2×SD16—731no—
1135C2×SD16C22×D7311yescharacteristic
1136C2×SD16C22×D7311yescharacteristic
1137C2×D8—731no—
1138C2×D8—731no—
1139C2×D8—731no—
1140C2×D8—731no—
1141C2×M16—731no—
1142C2×M16C22×D7311yescharacteristic
1143C22×C8—731no—
1144C22×C8—731no—
1145C22×C8—731no—
1146C22×C8C22×D7311yescharacteristic
1147C4⋊Q8—731no—
1148C4⋊Q8—731no—
1149C4⋊Q8—731no—
1150C4⋊Q8—731no—
1151C4⋊Q8—731no—
1152C4⋊Q8—731no—
1153C4⋊Q8—731no—
1154C4⋊Q8C22×D7311yescharacteristic
1155#127—731no—
1156#127—731no—
1157#127—731no—
1158#127—731no—
1159#127—1461no—
1160#127—1461no—
1161#127—1461no—
1162#127—1461no—
1163#126—21no—
1164#126—21no—
1165#126—1461no—
1166#126—1461no—
1167#126—1461no—
1168#126—1461no—
1169#125—1461no—
1170#125—1461no—
1171#125—1461no—
1172#125—1461no—
1173#125—1461no—
1174#125—1461no—
1175#125—1461no—
1176#124—21no—
1177#124—731no—
1178#124—731no—
1179#124—731no—
1180#124—1461no—
1181#124—1461no—
1182#124—1461no—
1183#124—1461no—
1184#124—1461no—
1185#124—1461no—
1186#124C22×D7311yescharacteristic
1187#123—21no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191#123—1461no—
1192#123—1461no—
1193#123—1461no—
1194#123—1461no—
1195#123—1461no—
1196#123—1461no—
1197#123—1461no—
1198#123—1461no—
1199#123—1461no—
1200#123—1461no—
1201C22⋊Q8—731no—
1202C22⋊Q8—731no—
1203C22⋊Q8—731no—
1204C22⋊Q8—731no—
1205C22⋊Q8—731no—
1206C22⋊Q8—1461no—
1207C22⋊Q8—1461no—
1208C22⋊Q8—1461no—
1209C22⋊Q8—1461no—
1210C22⋊Q8—1461no—
1211C22⋊Q8—1461no—
1212C22⋊Q8—1461no—
1213C22⋊Q8C22×D7311yescharacteristic
1214C22⋊Q8C22×D7311yescharacteristic
1215C22⋊Q8C22×D7311yescharacteristic
1216#121—21no—
1217#121—731no—
1218#121—731no—
1219#121—731no—
1220#121—1461no—
1221#121—1461no—
1222#121—1461no—
1223#121—1461no—
1224#121—1461no—
1225#121—1461no—
1226#121—1461no—
1227#121—1461no—
1228#121—1461no—
1229#121—1461no—
1230#121—1461no—
1231#121—1461no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121C22×D7311yescharacteristic
1237#120—21no—
1238#120—1461no—
1239#120—1461no—
1240#120—1461no—
1241C4×Q8—21no—
1242C4×Q8—731no—
1243C4×Q8—731no—
1244C4×Q8—731no—
1245C4×Q8—731no—
1246C4×Q8—731no—
1247C4×Q8—731no—
1248C4×Q8—731no—
1249C4×Q8—731no—
1250C4×Q8—731no—
1251C4×Q8—1461no—
1252C4×Q8—1461no—
1253C4×Q8—1461no—
1254C4×Q8—1461no—
1255C4×Q8—1461no—
1256C4×Q8—1461no—
1257C4×Q8—1461no—
1258C4×Q8C22×D7311yescharacteristic
1259C4×D4—731no—
1260C4×D4—731no—
1261C4×D4—731no—
1262C4×D4—731no—
1263C4×D4—731no—
1264C4×D4—731no—
1265C4×D4—731no—
1266C4×D4—731no—
1267C4×D4—731no—
1268C4×D4—731no—
1269C4×D4—731no—
1270C4×D4—731no—
1271C4×D4—1461no—
1272C4×D4—1461no—
1273C4×D4—1461no—
1274C4×D4—1461no—
1275C4×D4—1461no—
1276C4×D4—1461no—
1277C4×D4—1461no—
1278C4×D4—1461no—
1279C4×D4—1461no—
1280C4×D4—1461no—
1281C4×D4—1461no—
1282C4×D4—1461no—
1283C4×D4—1461no—
1284C4×D4—1461no—
1285C4×D4—1461no—
1286C4×D4—1461no—
1287C4×D4C22×D7311yescharacteristic
1288C4×D4C22×D7311yescharacteristic
1289#117—731no—
1290#117—731no—
1291#117—731no—
1292#117—731no—
1293#117—1461no—
1294#117—1461no—
1295#117—1461no—
1296#117—1461no—
1297#117—1461no—
1298#117—1461no—
1299#117—1461no—
1300#117C22×D7311yescharacteristic
1301#117C22×D7311yescharacteristic
1302C2×C4⋊C4—1461no—
1303C2×C4⋊C4—1461no—
1304C2×C4⋊C4—1461no—
1305C2×C22⋊C4—21no—
1306C2×C22⋊C4—1461no—
1307C2×C22⋊C4—1461no—
1308C2×C22⋊C4—1461no—
1309C2×C42—731no—
1310C2×C42—731no—
1311C2×C42—731no—
1312C2×C42—1461no—
1313C2×C42—1461no—
1314C2×C42—1461no—
1315#107—731no—
1316#107C22×D7311yescharacteristic
1317#106—731no—
1318#106—731no—
1319#106—731no—
1320#106—731no—
1321#106C22×D7311yescharacteristic
1322#106C22×D7311yescharacteristic
1323C4⋊C8—731no—
1324C4⋊C8—731no—
1325C4⋊C8—731no—
1326C4⋊C8—731no—
1327C4⋊C8—731no—
1328C4⋊C8—731no—
1329C4⋊C8—731no—
1330C4⋊C8—731no—
1331C4⋊C8—731no—
1332C4⋊C8C22×D7311yescharacteristic
1333#103—731no—
1334#103—731no—
1335#103—731no—
1336#103—731no—
1337#103—731no—
1338#103—731no—
1339#103—731no—
1340#103—731no—
1341#103—731no—
1342#103—731no—
1343#103C22×D7311yescharacteristic
1344#103C22×D7311yescharacteristic
1345#103C22×D7311yescharacteristic
1346#103C22×D7311yescharacteristic
1347#102—731no—
1348#102—731no—
1349#102—731no—
1350#102—731no—
1351#102—731no—
1352#102—731no—
1353#102—731no—
1354#102—731no—
1355#102—731no—
1356#102—731no—
1357#102—731no—
1358#102—731no—
1359#102C22×D7311yescharacteristic
1360#102C22×D7311yescharacteristic
1361#102C22×D7311yescharacteristic
1362#102C22×D7311yescharacteristic
1363#102C22×D7311yescharacteristic
1364#102C22×D7311yescharacteristic
1365C22⋊C8—731no—
1366C22⋊C8—731no—
1367C22⋊C8—731no—
1368C22⋊C8—731no—
1369C22⋊C8C22×D7311yescharacteristic
1370C22⋊C8C22×D7311yescharacteristic
1371#97—731no—
1372#97—731no—
1373#97—731no—
1374#97C22×D7311yescharacteristic
1375C4×C8—731no—
1376C4×C8—731no—
1377C24—21no—
1378C24—1461no—
1379#41—41no—
1380#41—41no—
1381#41—2921no—
1382#41—2921no—
1383#41—2921no—
1384#41—2921no—
1385#41—2922no—
1386#41—2921no—
1387#41—2921no—
1388#41—2921no—
1389#41—2921no—
1390#41—2921no—
1391#41—5842no—
1392#41—5842no—
1393#41—1462no—
1394#41—1462no—
1395#41—1462no—
1396C2×Q8—21no—
1397C2×Q8—2924no—
1398C2×Q8—731no—
1399C2×Q8—731no—
1400C2×Q8—731no—
1401C2×Q8—731no—
1402C2×Q8—1461no—
1403C2×Q8—1461no—
1404C2×Q8—1461no—
1405C2×Q8C23×D7311yescharacteristic
1406C2×Q8C23×D7311yescharacteristic
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—41no—
1411C2×D4—41no—
1412C2×D4—2921no—
1413C2×D4—2921no—
1414C2×D4—2924no—
1415C2×D4—5842no—
1416C2×D4—731no—
1417C2×D4—731no—
1418C2×D4—731no—
1419C2×D4—731no—
1420C2×D4—731no—
1421C2×D4—1461no—
1422C2×D4—1461no—
1423C2×D4—1461no—
1424C2×D4—1461no—
1425C2×D4—1461no—
1426C2×D4—1461no—
1427C2×D4—1461no—
1428C2×D4—1461no—
1429C2×D4—1461no—
1430C2×D4—1461no—
1431C2×D4—1461no—
1432C2×D4—1461no—
1433C2×D4—1461no—
1434C2×D4—1461no—
1435C2×D4—1461no—
1436C2×D4—1461no—
1437C2×D4—1461no—
1438C2×D4—1461no—
1439C2×D4D4×D7311yescharacteristic
1440C2×D4C23×D7311yescharacteristic
1441C2×D4C23×D7311yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—731no—
1445C22×C4—731no—
1446C22×C4—731no—
1447C22×C4—731no—
1448C22×C4—731no—
1449C22×C4—731no—
1450C22×C4—731no—
1451C22×C4—1461no—
1452C22×C4—1461no—
1453C22×C4—1461no—
1454C22×C4—1461no—
1455C22×C4—1461no—
1456C22×C4—1461no—
1457C22×C4—1461no—
1458C22×C4—1461no—
1459C22×C4—1461no—
1460C22×C4—1461no—
1461C22×C4—1461no—
1462C22×C4—1461no—
1463C22×C4—1461no—
1464C22×C4C23×D7311yescharacteristic
1465C22×C4C23×D7311yescharacteristic
1466Q16—41no—
1467Q16—2921no—
1468Q16—2921no—
1469Q16—2921no—
1470Q16—2921no—
1471Q16—2921no—
1472SD16—41no—
1473SD16—41no—
1474SD16—2921no—
1475SD16—2921no—
1476SD16—2921no—
1477SD16—2921no—
1478SD16—2921no—
1479SD16—2921no—
1480SD16—2921no—
1481SD16—2921no—
1482SD16—2921no—
1483SD16—2921no—
1484SD16—1462no—
1485SD16—1462no—
1486D8—1462no—
1487D8—1462no—
1488D8—1462no—
1489D8—1462no—
1490M16—41no—
1491M16—2921no—
1492C2×C8—41no—
1493C2×C8—2921no—
1494C2×C8—2921no—
1495C2×C8—2921no—
1496C2×C8—731no—
1497C2×C8—731no—
1498C2×C8—731no—
1499C2×C8—731no—
1500C2×C8C23×D7311yescharacteristic
1501C2×C8C23×D7311yescharacteristic
1502C2×C8C23×D7311yescharacteristic
1503C2×C8C23×D7311yescharacteristic
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—21no—
1508C4⋊C4—21no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—731no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4—1461no—
1522C4⋊C4—1461no—
1523C4⋊C4—1461no—
1524C4⋊C4—1461no—
1525C4⋊C4—1461no—
1526C4⋊C4—1461no—
1527C4⋊C4—1461no—
1528C4⋊C4—1461no—
1529C4⋊C4—1461no—
1530C4⋊C4—1461no—
1531C4⋊C4—1461no—
1532C4⋊C4—1461no—
1533C4⋊C4—1461no—
1534C4⋊C4—1461no—
1535C4⋊C4—1461no—
1536C4⋊C4—1461no—
1537C4⋊C4—1461no—
1538C4⋊C4—1461no—
1539C4⋊C4D4×D7311yescharacteristic
1540C4⋊C4C23×D7311yescharacteristic
1541C4⋊C4C23×D7311yescharacteristic
1542C4⋊C4C23×D7311yescharacteristic
1543C4⋊C4C23×D7311yescharacteristic
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
1555C22⋊C4—731no—
1556C22⋊C4—731no—
1557C22⋊C4—1461no—
1558C22⋊C4—1461no—
1559C22⋊C4—1461no—
1560C22⋊C4—1461no—
1561C22⋊C4—1461no—
1562C22⋊C4—1461no—
1563C22⋊C4—1461no—
1564C22⋊C4—1461no—
1565C22⋊C4—1461no—
1566C22⋊C4—1461no—
1567C22⋊C4—1461no—
1568C22⋊C4—1461no—
1569C22⋊C4—1461no—
1570C22⋊C4—1461no—
1571C22⋊C4—1461no—
1572C22⋊C4—1461no—
1573C22⋊C4—1461no—
1574C22⋊C4—1461no—
1575C22⋊C4—1461no—
1576C22⋊C4—1461no—
1577C22⋊C4—1461no—
1578C22⋊C4—1461no—
1579C22⋊C4D4×D7311yescharacteristic
1580C22⋊C4D4×D7311yescharacteristic
1581C42—21no—
1582C42—21no—
1583C42—21no—
1584C42—731no—
1585C42—731no—
1586C42—731no—
1587C42—731no—
1588C42—731no—
1589C42—731no—
1590C42—731no—
1591C42—731no—
1592C42—731no—
1593C42—1461no—
1594C42—1461no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42—1461no—
1600C42—1461no—
1601C42C23×D7311yescharacteristic
1602C23—21no—
1603C23—21no—
1604C23—42no—
1605C23—81no—
1606C23—81no—
1607C23—2922no—
1608C23—5841no—
1609C23—5841no—
1610C23—731no—
1611C23—1461no—
1612C23—1461no—
1613C23—1461no—
1614C23C2×D4×D7311yescharacteristic
1615C23C2×D4×D7311yescharacteristic
1616Q8—21no—
1617Q8—21no—
1618Q8—21no—
1619Q8—21no—
1620Q8—42no—
1621Q8—2922no—
1622Q8—2922no—
1623Q8—2922no—
1624Q8—1462no—
1625Q8—1461no—
1626Q8—1461no—
1627Q8—1461no—
1628Q8—1461no—
1629Q8—1461no—
1630Q8—1461no—
1631D4—21no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—41no—
1636D4—81no—
1637D4—81no—
1638D4—81no—
1639D4—2922no—
1640D4—2922no—
1641D4—2922no—
1642D4—2922no—
1643D4—2922no—
1644D4—2922no—
1645D4—2922no—
1646D4—2921no—
1647D4—2922no—
1648D4—2922no—
1649D4—5841no—
1650D4—5841no—
1651D4—5841no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—5841no—
1658D4—732no—
1659D4—1462no—
1660D4—1461no—
1661D4—1461no—
1662D4—1461no—
1663D4—1461no—
1664D4—1461no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—81no—
1676C2×C4—81no—
1677C2×C4—2922no—
1678C2×C4—2922no—
1679C2×C4—2922no—
1680C2×C4—2921no—
1681C2×C4—2922no—
1682C2×C4—2922no—
1683C2×C4—2922no—
1684C2×C4—2922no—
1685C2×C4—2921no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—5841no—
1692C2×C4—731no—
1693C2×C4—731no—
1694C2×C4—731no—
1695C2×C4—731no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—731no—
1699C2×C4—1462no—
1700C2×C4—1461no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1461no—
1705C2×C4—1462no—
1706C2×C4—1462no—
1707C2×C4—1462no—
1708C2×C4—1461no—
1709C2×C4—1461no—
1710C2×C4C2×D4×D7311yescharacteristic
1711C2×C4C2×D4×D7311yescharacteristic
1712C2×C4C2×D4×D7311yescharacteristic
1713C2×C4C2×D4×D7311yescharacteristic
1714C2×C4C24×D7311yescharacteristic
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—21no—
1719C8—1461no—
1720C8—1461no—
1721C8—1461no—
1722C8—1461no—
1723C22—21no—
1724C22—21no—
1725C22—21no—
1726C22—21no—
1727C22—21no—
1728C22—21no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—162no—
1736C22—2921no—
1737C22—2921no—
1738C22—2921no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—11682no—
1745C22—1462no—
1746C22—1461no—
1747C22—1461no—
1748C22—1461no—
1749C22C22×D4×D7311yescharacteristic
1750C4—21no—
1751C4—21no—
1752C4—21no—
1753C4—21no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—41no—
1760C4—2921no—
1761C4—2921no—
1762C4—2921no—
1763C4—2921no—
1764C4—2921no—
1765C4—732no—
1766C4—732no—
1767C4—1461no—
1768C4—1461no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4H(5,𝔽2)×D7311yescharacteristic
1773C4#1798942311yescharacteristic
1774C2—41no—
1775C2—41no—
1776C2—81no—
1777C2—81no—
1778C2—2922no—
1779C2—2921no—
1780C2—5841no—
1781C2—5841no—
1782C2#2262359411yescharacteristic
1783C2#575×D7311yescharacteristic
1784C2#577×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3311C2
socleC22×C73C23×D4
hypercenter#3311D73
hypocenterC73#61986
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3311

Complements

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

NH ≅ G/Ntype
1. #22623799C2semidirect
2. #22623550C2semidirect
3. #22622987C2semidirect
4. #22622985C2semidirect
5. #22622726C2semidirect
6. #22622720C2semidirect
7. #22621970C2semidirect
8. #22621968C2semidirect
9. #22621961C2semidirect
10. #22621868C2semidirect
11. #22621866C2semidirect
12. #22621658C2semidirect
13. #22621654C2semidirect
14. #22621463C2semidirect
15. #22621461C2semidirect
16. #22621454C2semidirect
17. #22621452C2semidirect
18. #22621321C2semidirect
19. #22621249C2semidirect
20. #22621242C2semidirect
21. #22620943C2semidirect
22. #22620939C2semidirect
23. #22620870C2semidirect
24. #22620080C2semidirect
25. #22620077C2semidirect
26. #22619997C2semidirect
27. #22619410C2semidirect
28. #22619385C2semidirect
29. #22619384C2semidirect
30. #22619051C2semidirect
31. C73×#3311C2semidirect
34. C2×#14556614C22semidirect
35. C2×#14556613C22semidirect
36. C2×#14556612C22semidirect
37. C2×#14556611C22semidirect
41. #17989315C22semidirect
43. #17989305C22semidirect
50. #17989252C22semidirect
54. #17989239C22semidirect
63. #17989142C22semidirect
66. #17989139C22semidirect
76. C4×#11924029C22semidirect
78. #17989055C22semidirect
81. #17988982C22semidirect
82. #17988981C22semidirect
83. #17988980C22semidirect
84. #17988978C22semidirect
87. #17988949C22semidirect
88. #17988948C22semidirect
89. #17988945C22semidirect
93. #17988914C22semidirect
94. #17988911C22semidirect
95. #17988910C22semidirect
96. #17988876C22semidirect
97. #17988875C22semidirect
98. #17988874C22semidirect
99. #17988871C22semidirect
100. #17988871C22semidirect
101. #17988871C22semidirect
102. #17988870C22semidirect
103. #17988870C22semidirect
104. #17988866C22semidirect
108. #17988818C22semidirect
109. #17988817C22semidirect
110. #17988817C22semidirect
111. #17988816C22semidirect
112. #17988815C22semidirect
113. #17988815C22semidirect
114. #17988814C22semidirect
115. #17988812C22semidirect
116. #17988809C22semidirect
117. #17988808C22semidirect
118. #17988805C22semidirect
119. #17988803C22semidirect
120. #17988801C22semidirect
121. #17988799C22semidirect
122. #17988796C22semidirect
123. #17988796C22semidirect
124. #17988796C22semidirect
125. #17988795C22semidirect
126. #17988795C22semidirect
127. #17988793C22semidirect
128. #17988792C22semidirect
129. #17988791C22semidirect
130. #17988791C22semidirect
131. #17988790C22semidirect
144. #17988752C22semidirect
145. #17988752C22semidirect
147. #17988751C22semidirect
148. #17988750C22semidirect
149. #17988750C22semidirect
150. #17988749C22semidirect
152. #17988747C22semidirect
156. #17988735C22semidirect
157. #17988734C22semidirect
158. #17988731C22semidirect
159. #17988730C22semidirect
160. #17988716C22semidirect
161. #17988715C22semidirect
162. #17988700C22semidirect
163. #17988698C22semidirect
164. #17988697C22semidirect
165. #17988696C22semidirect
166. #17988686C22semidirect
167. #17988685C22semidirect
168. #17988684C22semidirect
169. #17988681C22semidirect
170. #17988679C22semidirect
171. #17988674C22semidirect
172. #17988672C22semidirect
176. C8×C22⋊D73C22semidirect
177. #17988650C22semidirect
178. #17988642C22semidirect
179. #17988641C22semidirect
182. C2×#14556520C22semidirect
183. C4⋊C8×D73C22semidirect
185. #17988582C22semidirect
186. #17988581C22semidirect
187. #17988580C22semidirect
190. #489×C73C22semidirect
192. #482×C73C22semidirect
193. #476×C73C22semidirect
195. #465×C73C22semidirect
196. #464×C73C22semidirect
197. #452×C73C22semidirect
199. #440×C73C22semidirect
202. #416×C73C22semidirect
902. #3311D73semidirect
924. C73#61986semidirect
985. #489C2×D73semidirect
993. #482C2×D73semidirect
997. #476C2×D73semidirect
1015. #465C2×D73semidirect
1019. #464C2×D73semidirect
1055. #452C2×D73semidirect
1073. #440C2×D73semidirect
1095. #416C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237992
#226235502
#226229872
#226229852
#226227262
#226227202
#226219702
#226219682
#226219612
#226218682
#226218662
#226216582
#226216542
#226214632
#226214612
#226214542
#226214522
#226213212
#226212492
#226212422
#226209432
#226209392
#226208702
#226200802
#226200772
#226199972
#226194102
#226193852
#226193842
#226190512
C73×#33112
#6198673