Finite Group Databasebeta

← #33979526

Subgroups — #33979526

Order 18688.

1838 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624490C211yesmaximal, characteristic, complemented
2#22623967C211yesmaximal, characteristic, complemented
3#22623013C211yesmaximal, characteristic, complemented
4#22623009C211yesmaximal, characteristic, complemented
5#22622647C211yesmaximal, characteristic, complemented
6#22622644C211yesmaximal, characteristic, complemented
7#22622016C211yesmaximal, characteristic, complemented
8#22622012C211yesmaximal, characteristic, complemented
9#22621928C211yesmaximal, characteristic, complemented
10#22621915C211yesmaximal, characteristic, complemented
11#22621808C211yesmaximal, characteristic, complemented
12#22621802C211yesmaximal, characteristic, complemented
13#22621616C211yesmaximal, characteristic, complemented
14#22621486C211yesmaximal, characteristic, complemented
15#22621484C211yesmaximal, characteristic, complemented
16#22621445C211yesmaximal, characteristic, complemented
17#22621437C211yesmaximal, characteristic, complemented
18#22621389C211yesmaximal, characteristic, complemented
19#22621386C211yesmaximal, characteristic, complemented
20#22621272C211yesmaximal, characteristic, complemented
21#22621036C211yesmaximal, characteristic, complemented
22#22621033C211yesmaximal, characteristic, complemented
23#22620931C211yesmaximal, characteristic, complemented
24#22620189C211yesmaximal, characteristic, complemented
25#22620186C211yesmaximal, characteristic, complemented
26#22620025C211yesmaximal, characteristic, complemented
27#22619482C211yesmaximal, characteristic, complemented
28#22619479C211yesmaximal, characteristic, complemented
29C2×#17988800C211yesmaximal, characteristic, complemented
30#22619064C211yesmaximal, characteristic, complemented
31C73×#3280C211yesmaximal, characteristic, complemented
32C2×#14556621C2211yescharacteristic, complemented
33C2×#14556620C2211yescharacteristic, complemented
34C2×#14556610C2211yescharacteristic
35C22×#11924016C2211yescharacteristic
36#17989340—21no—
37#17989332—21no—
38#17989307C2211yescharacteristic, complemented
39#17989306C2211yescharacteristic, complemented
40#17989306C2211yescharacteristic, complemented
41#17989295C2211yescharacteristic
42#17989294C2211yescharacteristic
43#17989274—21no—
44#17989268—21no—
45#17989268—21no—
46#17989263—21no—
47#17989263—21no—
48D4×Dic146C2211yescharacteristic
49D4×Dic146C2211yescharacteristic, complemented
50#17989250C2211yescharacteristic
51#17989244C2211yescharacteristic, complemented
52#17989243—21no—
53#17989243C2211yescharacteristic, complemented
54#17989237C2211yescharacteristic, complemented
55#17989236C2211yescharacteristic, complemented
56#17989231C2211yescharacteristic
57#17989231C2211yescharacteristic
58#17989213—21no—
59#17989206C2211yescharacteristic, complemented
60#17989205—21no—
61#17989204—21no—
62#17989204C2211yescharacteristic, complemented
63#17989204C2211yescharacteristic, complemented
64#17989202C2211yescharacteristic, complemented
65#17989182—21no—
66#17989181—21no—
67#17989172—21no—
68#17989158C2211yescharacteristic, complemented
69#17989157C2211yescharacteristic, complemented
70#17989139C2211yescharacteristic
71#17989139C2211yescharacteristic
72#17989117C2211yescharacteristic
73C2×#14556578C2211yescharacteristic
74#17989093—21no—
75C2×#14556568—21no—
76#17989070C2211yescharacteristic, complemented
77#17989066C2211yescharacteristic, complemented
78C2×D4×Dic73C2211yescharacteristic
79#17988982C2211yescharacteristic, complemented
80#17988978C2211yescharacteristic, complemented
81#17988978C2211yescharacteristic, complemented
82#17988978C2211yescharacteristic, complemented
83#17988970C2211yescharacteristic
84#17988946C2211yescharacteristic, complemented
85#17988945C2211yescharacteristic, complemented
86#17988945C2211yescharacteristic, complemented
87#17988945C2211yescharacteristic, complemented
88#17988938C2211yescharacteristic, complemented
89#17988936C2211yescharacteristic, complemented
90#17988924C2211yescharacteristic, complemented
91#17988923C2211yescharacteristic
92#17988923C2211yescharacteristic, complemented
93#17988920C2211yescharacteristic
94#17988899C2211yescharacteristic, complemented
95#17988898C2211yescharacteristic, complemented
96#17988883C2211yescharacteristic, complemented
97#17988881C2211yescharacteristic, complemented
98#17988881C2211yescharacteristic, complemented
99#17988881C2211yescharacteristic, complemented
100#17988880C2211yescharacteristic, complemented
101#17988880C2211yescharacteristic, complemented
102#17988867C2211yescharacteristic, complemented
103#17988865C2211yescharacteristic, complemented
104#17988865C2211yescharacteristic, complemented
105#17988865C2211yescharacteristic, complemented
106#17988832C2211yescharacteristic, complemented
107#17988831C2211yescharacteristic, complemented
108#17988831C2211yescharacteristic, complemented
109#17988830C2211yescharacteristic, complemented
110#17988828C2211yescharacteristic
111#17988828C2211yescharacteristic, complemented
112#17988827C2211yescharacteristic, complemented
113#17988826C2211yescharacteristic
114#17988826C2211yescharacteristic
115#17988820C2211yescharacteristic
116#17988808C2211yescharacteristic, complemented
117#17988808C2211yescharacteristic, complemented
118#17988808C2211yescharacteristic, complemented
119#17988807C2211yescharacteristic, complemented
120#17988807C2211yescharacteristic, complemented
121#17988807C2211yescharacteristic, complemented
122#17988806C2211yescharacteristic, complemented
123#17988806C2211yescharacteristic, complemented
124#17988800C2211yescharacteristic
125#17988800C2211yescharacteristic
126#17988800C2211yescharacteristic
127#17988800C2211yescharacteristic
128#17988800C2211yescharacteristic
129#17988800C2211yescharacteristic
130#17988800C2211yescharacteristic
131#17988800C2211yescharacteristic
132#17988800C2211yescharacteristic
133#17988800C2211yescharacteristic
134#17988798C2211yescharacteristic, complemented
135#17988796C2211yescharacteristic, complemented
136#17988796C2211yescharacteristic, complemented
137#17988795C2211yescharacteristic, complemented
138#17988795C2211yescharacteristic, complemented
139#17988795C2211yescharacteristic, complemented
140#17988792C2211yescharacteristic, complemented
141#17988790C2211yescharacteristic, complemented
142#17988790C2211yescharacteristic, complemented
143#17988790C2211yescharacteristic, complemented
144#17988750C2211yescharacteristic, complemented
145#17988749C2211yescharacteristic, complemented
146#17988749C2211yescharacteristic, complemented
147#17988746C2211yescharacteristic, complemented
148#17988745C2211yescharacteristic
149#17988745C2211yescharacteristic, complemented
150#17988742C2211yescharacteristic
151#17988741C2211yescharacteristic, complemented
152#17988738C2211yescharacteristic
153#17988738C2211yescharacteristic
154#17988729C2211yescharacteristic
155#17988729C2211yescharacteristic
156#17988725C2211yescharacteristic, complemented
157#17988724C2211yescharacteristic, complemented
158#17988717C2211yescharacteristic, complemented
159#17988716C2211yescharacteristic, complemented
160#17988688C2211yescharacteristic, complemented
161#17988688C2211yescharacteristic, complemented
162#17988688C2211yescharacteristic, complemented
163#17988687C2211yescharacteristic, complemented
164#17988687C2211yescharacteristic, complemented
165#17988684C2211yescharacteristic, complemented
166#17988684C2211yescharacteristic, complemented
167#17988684C2211yescharacteristic, complemented
168C4×Dic292C2211yescharacteristic, complemented
169#17988679C2211yescharacteristic, complemented
170D8×Dic73C2211yescharacteristic
171#17988661C2211yescharacteristic, complemented
172#17988659C2211yescharacteristic
173#17988658C2211yescharacteristic, complemented
174#17988655C2211yescharacteristic
175C8×C22⋊D73C2211yescharacteristic
176#17988646C2211yescharacteristic, complemented
177#17988645C2211yescharacteristic, complemented
178#17988641C2211yescharacteristic
179#17988613C2211yescharacteristic, complemented
180#17988612C2211yescharacteristic, complemented
181C2×#14556520C2211yescharacteristic
182#17988588C2211yescharacteristic, complemented
183#17988585C2211yescharacteristic, complemented
184C2×#14556516C2211yescharacteristic
185C2×#14556516C2211yescharacteristic, complemented
186#103×D73C2211yescharacteristic, complemented
187C2×#14556512C2211yescharacteristic
188C2×#135×C73C2211yescharacteristic
189C22×D8×C73C2211yescharacteristic
190#546×C73C2211yescharacteristic
191#546×C73C2211yescharacteristic
192#495×C73C2211yescharacteristic
193#467×C73C2211yescharacteristic
194#466×C73C2211yescharacteristic
195#463×C73C2211yescharacteristic
196#463×C73C2211yescharacteristic
197#450×C73C2211yescharacteristic
198#450×C73C2211yescharacteristic
199#449×C73C2211yescharacteristic
200#449×C73C2211yescharacteristic
201C4×D8×C73C2211yescharacteristic
202C8×D4×C73C2211yescharacteristic
203C2×#11924027—21no—
204C2×#11924027C2311yescharacteristic
205C2×#11924027C2311yescharacteristic
206C22×Dic146—21no—
207C22×Dic146C2311yescharacteristic
208C22×Dic146C2311yescharacteristic
209C2×Q8×D73C2311yescharacteristic
210C23×Dic73—21no—
211#14556621—42no—
212#14556620—42no—
213#14556610—42no—
214C2×Dic292C2311yescharacteristic
215C2×Dic292C2311yescharacteristic
216C2×Dic292C2311yescharacteristic
217C2×#11924018C2311yescharacteristic
218C2×#11924018C2311yescharacteristic
219C2×#11924018C2311yescharacteristic
220C2×#11924018C2311yescharacteristic
221C2×#11924016—42no—
222C2×#11924016C2311yescharacteristic
223C2×#11924016C2311yescharacteristic
224C2×#11924016C2311yescharacteristic
225C2×#11924016C2311yescharacteristic
226C2×#11924016C2311yescharacteristic
227C2×#11924016C2311yescharacteristic
228C2×#11924016C2311yescharacteristic
229C2×#11924016C2311yescharacteristic
230C2×#11924012C2311yescharacteristic
231C2×#11924011C2311yescharacteristic
232C22×#10596831C2311yescharacteristic
233C2×C8×D73C2311yescharacteristic
234#14556591C2311yescharacteristic
235#14556591C2311yescharacteristic
236#14556590—21no—
237#14556590—21no—
238#14556590C2311yescharacteristic
239#14556590C2311yescharacteristic
240#14556590C2311yescharacteristic
241#14556589C2311yescharacteristic
242#14556589C2311yescharacteristic
243#14556589C2311yescharacteristic
244#14556586D411yescharacteristic
245#14556584—21no—
246#14556584—21no—
247#14556584—21no—
248#14556584—21no—
249#14556584—21no—
250#14556584—21no—
251#14556584—21no—
252#14556584—21no—
253#14556584—21no—
254#14556584—21no—
255#14556584D411yescharacteristic
256#14556582—21no—
257#14556581—21no—
258#14556581—21no—
259#14556581—21no—
260#14556581D411yescharacteristic
261#14556578—21no—
262#14556578—21no—
263#14556578—21no—
264#14556578—21no—
265#14556578—21no—
266#14556578C2311yescharacteristic
267#14556578C2311yescharacteristic
268#14556578C2311yescharacteristic
269#14556578C2311yescharacteristic
270#14556578C2311yescharacteristic
271#14556578C2311yescharacteristic
272#14556577—21no—
273#14556577—21no—
274#14556577—21no—
275#14556577D411yescharacteristic
276#14556575—21no—
277#14556575D411yescharacteristic
278#14556574—21no—
279#14556574—21no—
280#14556573—21no—
281#14556573—21no—
282#14556573—21no—
283#14556572—21no—
284#14556572—21no—
285#14556572—21no—
286#14556572—21no—
287#14556572—21no—
288#14556572—21no—
289#14556572—21no—
290#14556572—21no—
291#14556572D411yescharacteristic
292#14556571—21no—
293#14556571C2311yescharacteristic
294#14556570—21no—
295#14556570—21no—
296#14556570—21no—
297#14556570—21no—
298#14556570—21no—
299#14556570—21no—
300#14556570C2311yescharacteristic
301#14556570C2311yescharacteristic
302#14556570C2311yescharacteristic
303#14556570C2311yescharacteristic
304#14556569—21no—
305#14556568—21no—
306#14556568—21no—
307#14556568—21no—
308#14556568—21no—
309#14556568—21no—
310#14556568—21no—
311#14556568—21no—
312#14556568—21no—
313#14556568—21no—
314#14556568—21no—
315#14556568—21no—
316#14556568—21no—
317#14556568—21no—
318#14556568—21no—
319#14556568—21no—
320#14556568—21no—
321#14556568—21no—
322#14556568—21no—
323#14556568—21no—
324#14556568D411yescharacteristic
325#14556567C2311yescharacteristic
326#14556563—21no—
327#14556563—21no—
328#14556563—21no—
329#14556563—21no—
330#14556563D411yescharacteristic
331#14556562—21no—
332#14556562C2311yescharacteristic
333#14556562C2311yescharacteristic
334#14556560—21no—
335#14556560—21no—
336Q8×Dic73C2311yescharacteristic
337Q8×Dic73C2311yescharacteristic
338Q8×Dic73C2311yescharacteristic
339C4×Dic146C2311yescharacteristic
340C4×Dic146C2311yescharacteristic
341C4×Dic146C2311yescharacteristic
342#14556556—21no—
343#14556556—21no—
344#14556556C2311yescharacteristic
345#14556556C2311yescharacteristic
346#14556556C2311yescharacteristic
347D4×Dic73—21no—
348D4×Dic73—21no—
349D4×Dic73—21no—
350D4×Dic73—21no—
351D4×Dic73—21no—
352D4×Dic73—21no—
353D4×Dic73—21no—
354D4×Dic73C2311yescharacteristic
355D4×Dic73C2311yescharacteristic
356D4×Dic73C2311yescharacteristic
357D4×Dic73C2311yescharacteristic
358D4×Dic73C2311yescharacteristic
359D4×Dic73C2311yescharacteristic
360C4×C22⋊D73—21no—
361C4×C22⋊D73—21no—
362C4×C22⋊D73C2311yescharacteristic
363C4×C22⋊D73C2311yescharacteristic
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556550—21no—
368#14556550—21no—
369#14556550C2311yescharacteristic
370#14556548C2311yescharacteristic
371#14556547—21no—
372#14556547—21no—
373#14556547—21no—
374#14556547—21no—
375#14556547—21no—
376C2×C4⋊Dic73—21no—
377C2×C4⋊Dic73C2311yescharacteristic
378C2×C4⋊Dic73C2311yescharacteristic
379C2×#11924007—21no—
380C2×#11924007—21no—
381C4⋊C4×D73C2311yescharacteristic
382C2×C22⋊Dic73—21no—
383C2×C22⋊Dic73—21no—
384C2×C22⋊Dic73—21no—
385C2×C22⋊Dic73—21no—
386C2×C22⋊Dic73—21no—
387C2×C4×Dic73C2311yescharacteristic
388#14556525C2311yescharacteristic
389#14556525C2311yescharacteristic
390#14556525C2311yescharacteristic
391#14556524C2311yescharacteristic
392#14556524C2311yescharacteristic
393#14556524C2311yescharacteristic
394#14556524C2311yescharacteristic
395C4⋊#10596831C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556520C2311yescharacteristic
400#14556520C2311yescharacteristic
401#14556520C2311yescharacteristic
402#14556520C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556516C2311yescharacteristic
405#14556516C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430C22⋊#10596831C2311yescharacteristic
431C22⋊#10596831C2311yescharacteristic
432#14556503C2311yescharacteristic
433#14556503C2311yescharacteristic
434#14556502C2311yescharacteristic
435#14556501C2311yescharacteristic
436#14556501C2311yescharacteristic
437#14556501C2311yescharacteristic
438C8×Dic73C2311yescharacteristic
439C2×#41×C73C2311yescharacteristic
440C2×#41×C73C2311yescharacteristic
441C22×D4×C73C2311yescharacteristic
442C22×D4×C73C2311yescharacteristic
443#135×C73—42no—
444C2×Q16×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×SD16×C73C2311yescharacteristic
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×D8×C73—42no—
450C2×D8×C73C2311yescharacteristic
451C2×D8×C73C2311yescharacteristic
452C2×D8×C73C2311yescharacteristic
453C2×D8×C73C2311yescharacteristic
454C22×C8×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456#124×C73C2311yescharacteristic
457#124×C73C2311yescharacteristic
458#123×C73—21no—
459#123×C73—21no—
460C22⋊Q8×C73C2311yescharacteristic
461C22⋊Q8×C73C2311yescharacteristic
462#121×C73—21no—
463#121×C73—21no—
464#121×C73C2311yescharacteristic
465#121×C73C2311yescharacteristic
466#120×C73—21no—
467#120×C73—21no—
468C4×D4×C73C2311yescharacteristic
469C4×D4×C73C2311yescharacteristic
470C4×D4×C73C2311yescharacteristic
471C2×C22⋊C4×C73—21no—
472C2×C22⋊C4×C73—21no—
473#107×C73C2311yescharacteristic
474C4⋊C8×C73C2311yescharacteristic
475#103×C73C2311yescharacteristic
476#103×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481C22⋊C8×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483C4×C8×C73C2311yescharacteristic
484#11924027—22no—
485#11924027—41no—
486#11924027—41no—
487#11924027—41no—
488#11924027—82no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146—21no—
492C2×Dic146—21no—
493C2×Dic146—21no—
494C2×Dic146—21no—
495C2×Dic146—21no—
496C2×Dic146—41no—
497C2×Dic146—41no—
498C2×Dic146—41no—
499C2×Dic146—41no—
500C2×Dic146—82no—
501C2×Dic146C2×D411yescharacteristic
502C2×Dic146C2411yescharacteristic
503C2×Dic146C2411yescharacteristic
504C2×Dic146C2411yescharacteristic
505C2×Dic146C2411yescharacteristic
506Q8×D73—41no—
507Q8×D73—41no—
508C2×C22⋊D73—21no—
509C2×C22⋊D73—21no—
510C2×C22⋊D73—21no—
511C2×C22⋊D73—21no—
512C2×C22⋊D73C2×D411yescharacteristic
513C2×C22⋊D73C2×D411yescharacteristic
514C22×Dic73—21no—
515C22×Dic73—21no—
516C22×Dic73—21no—
517C22×Dic73—21no—
518C22×Dic73—21no—
519C22×Dic73—21no—
520C22×Dic73—21no—
521C22×Dic73—21no—
522C22×Dic73—21no—
523C22×Dic73—21no—
524C22×Dic73—21no—
525C22×Dic73—21no—
526C22×Dic73—82no—
527C22×Dic73C2×D411yescharacteristic
528C22×Dic73C2×D411yescharacteristic
529C2×C4×D73—21no—
530C2×C4×D73—21no—
531C2×C4×D73C2411yescharacteristic
532Dic292—41no—
533Dic292—41no—
534Dic292—41no—
535#11924018—41no—
536#11924018—41no—
537#11924018—41no—
538#11924018—41no—
539#11924016—22no—
540#11924016—22no—
541#11924016—22no—
542#11924016—41no—
543#11924016—41no—
544#11924016—41no—
545#11924016—41no—
546#11924016—41no—
547#11924012—41no—
548#11924011—41no—
549C2×#10596831—41no—
550C2×#10596831C2411yescharacteristic
551C2×#10596831C2411yescharacteristic
552C2×#10596831C2411yescharacteristic
553C2×#10596831C2411yescharacteristic
554C8×D73—41no—
555C4⋊Dic73—21no—
556C4⋊Dic73—21no—
557C4⋊Dic73—21no—
558C4⋊Dic73—21no—
559C4⋊Dic73—21no—
560C4⋊Dic73—21no—
561C4⋊Dic73—21no—
562C4⋊Dic73—21no—
563C4⋊Dic73—21no—
564C4⋊Dic73C2×D411yescharacteristic
565C4⋊Dic73C2×D411yescharacteristic
566C4⋊Dic73C2×D411yescharacteristic
567C4⋊Dic73C2411yescharacteristic
568C4⋊Dic73C2411yescharacteristic
569C4⋊Dic73C2411yescharacteristic
570C4⋊Dic73C2411yescharacteristic
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007—21no—
580#11924007—21no—
581#11924007—21no—
582#11924007—21no—
583#11924007—21no—
584#11924007—21no—
585#11924007—21no—
586#11924007—21no—
587#11924007—21no—
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007C2×D411yescharacteristic
592#11924007C2×D411yescharacteristic
593#11924007C2×D411yescharacteristic
594#11924007C2×D411yescharacteristic
595#11924007C2×D411yescharacteristic
596#11924007C2×D411yescharacteristic
597C22⋊Dic73—21no—
598C22⋊Dic73—21no—
599C22⋊Dic73—21no—
600C22⋊Dic73—21no—
601C22⋊Dic73—21no—
602C22⋊Dic73—21no—
603C22⋊Dic73—21no—
604C22⋊Dic73—21no—
605C22⋊Dic73—21no—
606C22⋊Dic73—21no—
607C22⋊Dic73—21no—
608C22⋊Dic73—21no—
609C22⋊Dic73—21no—
610C22⋊Dic73—21no—
611C22⋊Dic73—21no—
612C22⋊Dic73—21no—
613C22⋊Dic73—21no—
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
623C22⋊Dic73C2×D411yescharacteristic
624C22⋊Dic73C2×D411yescharacteristic
625#11924005—21no—
626#11924005—21no—
627#11924005C2×D411yescharacteristic
628#11924005C2×D411yescharacteristic
629#11924005C2×D411yescharacteristic
630#11924005C2×D411yescharacteristic
631C4×Dic73—21no—
632C4×Dic73—21no—
633C4×Dic73—21no—
634C4×Dic73—21no—
635C4×Dic73—21no—
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73C2×D411yescharacteristic
640C4×Dic73C2×D411yescharacteristic
641C4×Dic73C2411yescharacteristic
642C4×Dic73C2411yescharacteristic
643C4×Dic73C2411yescharacteristic
644C24×C73—21no—
645C24×C73—21no—
646#41×C73—22no—
647#41×C73—41no—
648#41×C73—41no—
649#41×C73—41no—
650C2×Q8×C73C2411yescharacteristic
651C2×Q8×C73C2411yescharacteristic
652C2×D4×C73—22no—
653C2×D4×C73—21no—
654C2×D4×C73—21no—
655C2×D4×C73—21no—
656C2×D4×C73—21no—
657C2×D4×C73—21no—
658C2×D4×C73—21no—
659C2×D4×C73—41no—
660C2×D4×C73—41no—
661C2×D4×C73—41no—
662C2×D4×C73C2×D411yescharacteristic
663C2×D4×C73C2411yescharacteristic
664C2×D4×C73C2411yescharacteristic
665C2×D4×C73C2411yescharacteristic
666C2×D4×C73C2411yescharacteristic
667C22×C4×C73—21no—
668C22×C4×C73—21no—
669C22×C4×C73—21no—
670C22×C4×C73—21no—
671C22×C4×C73C2411yescharacteristic
672C22×C4×C73C2411yescharacteristic
673Q16×C73—41no—
674SD16×C73—22no—
675SD16×C73—41no—
676SD16×C73—41no—
677SD16×C73—41no—
678D8×C73—22no—
679D8×C73—22no—
680D8×C73—41no—
681D8×C73—41no—
682C2×C8×C73—41no—
683C2×C8×C73—41no—
684C2×C8×C73C2411yescharacteristic
685C2×C8×C73C2411yescharacteristic
686C2×C8×C73C2411yescharacteristic
687C2×C8×C73C2411yescharacteristic
688C4⋊C4×C73—21no—
689C4⋊C4×C73—21no—
690C4⋊C4×C73C2×D411yescharacteristic
691C4⋊C4×C73C2411yescharacteristic
692C4⋊C4×C73C2411yescharacteristic
693C22⋊C4×C73—21no—
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×C73C2411yescharacteristic
706C23×C73—21no—
707C23×C73—21no—
708C23×C73—21no—
709C23×C73—21no—
710C23×C73—42no—
711C23×C73—42no—
712C23×C73—42no—
713C23×C73—81no—
714C23×C73—81no—
715C23×C73—81no—
716C23×C73C22×D411yescharacteristic
717C23×C73C22×D411yescharacteristic
718C22×D73C22×D411yescharacteristic
719Q8×C73—21no—
720Q8×C73—21no—
721Q8×C73—21no—
722Q8×C73—21no—
723D4×C73—22no—
724D4×C73—21no—
725D4×C73—21no—
726D4×C73—21no—
727D4×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—42no—
732D4×C73—42no—
733D4×C73—81no—
734D4×C73—81no—
735D4×C73—81no—
736D4×C73—81no—
737D4×C73H(5,𝔽2)12yes—
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—42no—
747C2×C4×C73—81no—
748C2×C4×C73—81no—
749C2×C4×C73—81no—
750C2×C4×C73C22×D411yescharacteristic
751C2×C4×C73C22×D411yescharacteristic
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C22×D411yescharacteristic
754C2×C4×C73C2511yescharacteristic
755C22⋊D73—22no—
756C22⋊D73—41no—
757C22⋊D73—42no—
758C22⋊D73—81no—
759C22⋊D73—81no—
760C22⋊D73—81no—
761C2×Dic73—22no—
762C2×Dic73—21no—
763C2×Dic73—21no—
764C2×Dic73—21no—
765C2×Dic73—21no—
766C2×Dic73—21no—
767C2×Dic73—21no—
768C2×Dic73—21no—
769C2×Dic73—21no—
770C2×Dic73—41no—
771C2×Dic73—42no—
772C2×Dic73—42no—
773C2×Dic73—42no—
774C2×Dic73—81no—
775C2×Dic73—81no—
776C2×Dic73—81no—
777C2×Dic73—81no—
778C2×Dic73—81no—
779C2×Dic73—81no—
780C2×Dic73—81no—
781C2×Dic73—81no—
782C2×Dic73—81no—
783C2×Dic73C22×D411yescharacteristic
784C2×Dic73C22×D411yescharacteristic
785C2×Dic73C22×D411yescharacteristic
786C2×Dic73C22×D411yescharacteristic
787C2×Dic73C22×D411yescharacteristic
788C2×Dic73C22×D411yescharacteristic
789C2×Dic73C22×D411yescharacteristic
790C4×D73—21no—
791C4×D73—21no—
792C4×D73—81no—
793C4×D73—81no—
794Dic146—21no—
795Dic146—21no—
796Dic146—21no—
797Dic146—21no—
798Dic146—21no—
799Dic146—21no—
800Dic146—21no—
801Dic146—21no—
802Dic146—41no—
803Dic146—42no—
804Dic146—81no—
805Dic146—81no—
806Dic146—81no—
807Dic146—81no—
808Dic146—81no—
809Dic146—81no—
810C8×C73—21no—
811C8×C73—21no—
812C8×C73—21no—
813C8×C73—21no—
814#10596831—21no—
815#10596831—21no—
816#10596831—21no—
817#10596831—21no—
818C22×C73—21no—
819C22×C73—21no—
820C22×C73—21no—
821C22×C73—22no—
822C22×C73—21no—
823C22×C73—21no—
824C22×C73—41no—
825C22×C73—41no—
826C22×C73—41no—
827C22×C73—41no—
828C22×C73—41no—
829C22×C73—41no—
830C22×C73—41no—
831C22×C73—41no—
832C22×C73—41no—
833C22×C73—41no—
834C22×C73—41no—
835C22×C73—84no—
836C22×C73—162no—
837C22×C73#57812yes—
838C22×C73C23×D411yescharacteristic
839C2×D73—21no—
840C2×D73—21no—
841C2×D73—21no—
842C4×C73—21no—
843C4×C73—21no—
844C4×C73—21no—
845C4×C73—21no—
846C4×C73—41no—
847C4×C73—41no—
848C4×C73—41no—
849C4×C73—41no—
850C4×C73C2×H(5,𝔽2)11yescharacteristic
851C4×C73#58511yescharacteristic
852Dic73—21no—
853Dic73—21no—
854Dic73—21no—
855Dic73—21no—
856Dic73—21no—
857Dic73—21no—
858Dic73—21no—
859Dic73—41no—
860Dic73—41no—
861Dic73—41no—
862Dic73—41no—
863Dic73—41no—
864Dic73—41no—
865Dic73—41no—
866Dic73—41no—
867#62017—731nomaximal, Sylow
868C2×C73—22no—
869C2×C73—41no—
870C2×C73—42no—
871C2×C73—81no—
872C2×C73—81no—
873C2×C73—81no—
874C2×C73#348811yescharacteristic
875C2×C73C2×#57811yescharacteristic
876C2×C73#358511yescharacteristic
877D73—41no—
878#3561—731no—
879#3520—731no—
880#3402—731no—
881#3402—731no—
882#3367—731no—
883#3367—731no—
884#3314—731no—
885#3314—731no—
886#3308—731no—
887#3308—731no—
888#3299—731no—
889#3299—731no—
890#3280—731no—
891#3280D7311yescharacteristic, complemented
892#3269—731no—
893#3269—731no—
894#3266—731no—
895#3266—731no—
896#3262—731no—
897#3262—731no—
898#3249—731no—
899#3225—731no—
900#3225—731no—
901#3215—731no—
902#3124—731no—
903#3124—731no—
904#3110—731no—
905#3046—731no—
906#3046—731no—
907C2×#463—731no—
908#2992—731no—
909C73#6201711yescharacteristic, complemented, Sylow
910C2×#137—731no—
911C2×#137—731no—
912C2×#135—731no—
913C2×#135C2×D7311yescharacteristic
914C22×SD16—731no—
915C22×D8C2×D7311yescharacteristic
916#563—1461no—
917#562—1461no—
918#556—731no—
919#556—731no—
920#556—731no—
921#554—731no—
922#554—731no—
923#552—1461no—
924#551—1461no—
925#551—1461no—
926#551—1461no—
927#551—1461no—
928D4×Q8—731no—
929D4×Q8—731no—
930D4×Q8—731no—
931#548—731no—
932#548—731no—
933#548—1461no—
934#547—731no—
935#547—731no—
936#546—731no—
937#546—731no—
938#546C2×D7311yescharacteristic
939#546C2×D7311yescharacteristic
940#543—1461no—
941#542—731no—
942#542—731no—
943#542—731no—
944#542—731no—
945#542—1461no—
946#542—1461no—
947#539—1461no—
948#539—1461no—
949#538—1461no—
950#536—731no—
951#536—731no—
952#533—731no—
953#533—731no—
954#529—731no—
955C2×#124—731no—
956#525—1461no—
957C2×C22⋊Q8—1461no—
958#520—731no—
959#520—731no—
960C2×C4×D4—731no—
961#497—731no—
962#497—731no—
963#497—731no—
964#497—731no—
965#495—731no—
966#495C2×D7311yescharacteristic
967#489—731no—
968#489—731no—
969#489—731no—
970#489—731no—
971#487—731no—
972#487—731no—
973#484—731no—
974#484—731no—
975#484—731no—
976#484—731no—
977#480—731no—
978#480—731no—
979#477—731no—
980#477—731no—
981#477—731no—
982#477—731no—
983#477—731no—
984#477—731no—
985#474—731no—
986#474—731no—
987#474—731no—
988#474—731no—
989#468—731no—
990#468—731no—
991#468—731no—
992#468—731no—
993#467—731no—
994#467—731no—
995#467—731no—
996#467—731no—
997#467—731no—
998#467C2×D7311yescharacteristic
999#466—731no—
1000#466C2×D7311yescharacteristic
1001#464—731no—
1002#464—731no—
1003#464—731no—
1004#464—731no—
1005#464—731no—
1006#464—731no—
1007#464—731no—
1008#464—731no—
1009#463—731no—
1010#463—731no—
1011#463—731no—
1012#463—731no—
1013#463—731no—
1014#463—731no—
1015#463—731no—
1016#463—731no—
1017#463—731no—
1018#463—731no—
1019#463C2×D7311yescharacteristic
1020#463C2×D7311yescharacteristic
1021#462—731no—
1022#462—731no—
1023#462—731no—
1024#462—731no—
1025#462—731no—
1026#462—731no—
1027#461—731no—
1028#461—731no—
1029#461—731no—
1030#461—731no—
1031#452—731no—
1032#452—731no—
1033#452—731no—
1034#452—731no—
1035#451—731no—
1036#451—731no—
1037#451—731no—
1038#451—731no—
1039#450—731no—
1040#450—731no—
1041#450C2×D7311yescharacteristic
1042#450C2×D7311yescharacteristic
1043#449—731no—
1044#449—731no—
1045#449C2×D7311yescharacteristic
1046#449C2×D7311yescharacteristic
1047#448—731no—
1048#448—731no—
1049#446—731no—
1050#446—731no—
1051#440—731no—
1052#440—731no—
1053#440—731no—
1054#440—731no—
1055#440—731no—
1056#440—731no—
1057#440—731no—
1058#440—731no—
1059C4×Q16—731no—
1060C4×Q16—731no—
1061C4×D8—731no—
1062C4×D8C2×D7311yescharacteristic
1063#435—731no—
1064#435—731no—
1065#435—731no—
1066#435—731no—
1067C8×D4—731no—
1068C8×D4C2×D7311yescharacteristic
1069#433—731no—
1070#433—731no—
1071#432—731no—
1072#424—731no—
1073#424—731no—
1074C2×C4⋊C8—731no—
1075#417—731no—
1076#417—731no—
1077C2×#103—731no—
1078C2×#103—731no—
1079C2×#103—731no—
1080C2×#102—731no—
1081C2×#41—731no—
1082C2×#41—731no—
1083C2×#41—1461no—
1084C2×#41C22×D7311yescharacteristic
1085C2×#41C22×D7311yescharacteristic
1086C22×Q8—731no—
1087C22×Q8—731no—
1088C22×Q8—731no—
1089C22×Q8—1461no—
1090C22×D4C22×D7311yescharacteristic
1091C22×D4C22×D7311yescharacteristic
1092C23×C4—1461no—
1093#137—2922no—
1094#137—2922no—
1095#135—42no—
1096#135—2922no—
1097C2×Q16—731no—
1098C2×Q16—731no—
1099C2×Q16—731no—
1100C2×Q16—731no—
1101C2×Q16—731no—
1102C2×Q16—731no—
1103C2×Q16—731no—
1104C2×Q16C22×D7311yescharacteristic
1105C2×SD16—2922no—
1106C2×SD16—731no—
1107C2×SD16—731no—
1108C2×SD16—731no—
1109C2×SD16—731no—
1110C2×SD16—731no—
1111C2×SD16—731no—
1112C2×SD16—731no—
1113C2×SD16—731no—
1114C2×SD16C22×D7311yescharacteristic
1115C2×SD16C22×D7311yescharacteristic
1116C2×SD16C22×D7311yescharacteristic
1117C2×SD16C22×D7311yescharacteristic
1118C2×D8—42no—
1119C2×D8C22×D7311yescharacteristic
1120C2×D8C22×D7311yescharacteristic
1121C2×D8C22×D7311yescharacteristic
1122C2×D8C22×D7311yescharacteristic
1123C2×M16—731no—
1124C2×M16—731no—
1125C22×C8—731no—
1126C22×C8—731no—
1127C22×C8C22×D7311yescharacteristic
1128C22×C8C22×D7311yescharacteristic
1129C4⋊Q8—731no—
1130C4⋊Q8—731no—
1131C4⋊Q8—731no—
1132C4⋊Q8—731no—
1133C4⋊Q8—731no—
1134C4⋊Q8—731no—
1135C4⋊Q8—731no—
1136C4⋊Q8—731no—
1137C4⋊Q8—1461no—
1138C4⋊Q8—1461no—
1139#126—731no—
1140#126—731no—
1141#126—1461no—
1142#126—1461no—
1143#126—1461no—
1144#126—1461no—
1145#126—1461no—
1146#126—1461no—
1147#126—1461no—
1148#126—1461no—
1149#126—1461no—
1150#126—1461no—
1151#125—731no—
1152#125—1461no—
1153#125—1461no—
1154#125—1461no—
1155#125—1461no—
1156#124—731no—
1157#124—731no—
1158#124—731no—
1159#124—731no—
1160#124—731no—
1161#124—731no—
1162#124—731no—
1163#124—1461no—
1164#124—1461no—
1165#124—1461no—
1166#124—1461no—
1167#124—1461no—
1168#124—1461no—
1169#124—1461no—
1170#124—1461no—
1171#124C22×D7311yescharacteristic
1172#124C22×D7311yescharacteristic
1173#123—21no—
1174#123—21no—
1175#123—731no—
1176#123—731no—
1177#123—1461no—
1178#123—1461no—
1179#123—1461no—
1180#123—1461no—
1181#123—1461no—
1182#123—1461no—
1183#123—1461no—
1184#123—1461no—
1185#123—1461no—
1186#123—1461no—
1187#123—1461no—
1188#123—1461no—
1189#123—1461no—
1190#123—1461no—
1191C22⋊Q8—731no—
1192C22⋊Q8—731no—
1193C22⋊Q8—731no—
1194C22⋊Q8—731no—
1195C22⋊Q8—731no—
1196C22⋊Q8—731no—
1197C22⋊Q8—731no—
1198C22⋊Q8—1461no—
1199C22⋊Q8—1461no—
1200C22⋊Q8—1461no—
1201C22⋊Q8—1461no—
1202C22⋊Q8—1461no—
1203C22⋊Q8—1461no—
1204C22⋊Q8—1461no—
1205C22⋊Q8—1461no—
1206C22⋊Q8—1461no—
1207C22⋊Q8—1461no—
1208C22⋊Q8—1461no—
1209C22⋊Q8—1461no—
1210C22⋊Q8—1461no—
1211C22⋊Q8—1461no—
1212C22⋊Q8—1461no—
1213C22⋊Q8—1461no—
1214C22⋊Q8—1461no—
1215C22⋊Q8—1461no—
1216C22⋊Q8—1461no—
1217C22⋊Q8—1461no—
1218C22⋊Q8—1461no—
1219C22⋊Q8—1461no—
1220C22⋊Q8—1461no—
1221C22⋊Q8—1461no—
1222C22⋊Q8—1461no—
1223C22⋊Q8—1461no—
1224C22⋊Q8—1461no—
1225C22⋊Q8C22×D7311yescharacteristic
1226C22⋊Q8C22×D7311yescharacteristic
1227#121—21no—
1228#121—21no—
1229#121—731no—
1230#121—731no—
1231#121—731no—
1232#121—1461no—
1233#121—1461no—
1234#121—1461no—
1235#121—1461no—
1236#121—1461no—
1237#121C22×D7311yescharacteristic
1238#121C22×D7311yescharacteristic
1239#120—21no—
1240#120—21no—
1241#120—1461no—
1242#120—1461no—
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—731no—
1252C4×Q8—1461no—
1253C4×Q8—1461no—
1254C4×D4—731no—
1255C4×D4—731no—
1256C4×D4—731no—
1257C4×D4—731no—
1258C4×D4—731no—
1259C4×D4—731no—
1260C4×D4—731no—
1261C4×D4—731no—
1262C4×D4—1461no—
1263C4×D4—1461no—
1264C4×D4—1461no—
1265C4×D4—1461no—
1266C4×D4—1461no—
1267C4×D4—1461no—
1268C4×D4—1461no—
1269C4×D4—1461no—
1270C4×D4—1461no—
1271C4×D4—1461no—
1272C4×D4—1461no—
1273C4×D4—1461no—
1274C4×D4C22×D7311yescharacteristic
1275C4×D4C22×D7311yescharacteristic
1276C4×D4C22×D7311yescharacteristic
1277#117—731no—
1278#117—731no—
1279#117—1461no—
1280#117—1461no—
1281#117—1461no—
1282#117—1461no—
1283#117—1461no—
1284#117—1461no—
1285#117—1461no—
1286C2×C4⋊C4—731no—
1287C2×C4⋊C4—731no—
1288C2×C4⋊C4—731no—
1289C2×C4⋊C4—1461no—
1290C2×C4⋊C4—1461no—
1291C2×C4⋊C4—1461no—
1292C2×C22⋊C4—21no—
1293C2×C22⋊C4—21no—
1294C2×C22⋊C4—1461no—
1295C2×C22⋊C4—1461no—
1296C2×C22⋊C4—1461no—
1297C2×C22⋊C4—1461no—
1298C2×C22⋊C4—1461no—
1299C2×C42—731no—
1300#107—731no—
1301#107—731no—
1302#107—731no—
1303#107—731no—
1304#107—731no—
1305#107—731no—
1306#107—731no—
1307#107C22×D7311yescharacteristic
1308C4⋊C8—731no—
1309C4⋊C8—731no—
1310C4⋊C8—731no—
1311C4⋊C8—731no—
1312C4⋊C8—731no—
1313C4⋊C8—731no—
1314C4⋊C8—731no—
1315C4⋊C8—731no—
1316C4⋊C8—731no—
1317C4⋊C8C22×D7311yescharacteristic
1318#103—731no—
1319#103—731no—
1320#103—731no—
1321#103—731no—
1322#103—731no—
1323#103—731no—
1324#103—731no—
1325#103—731no—
1326#103—731no—
1327#103—731no—
1328#103—731no—
1329#103—731no—
1330#103—731no—
1331#103—731no—
1332#103—731no—
1333#103—731no—
1334#103—731no—
1335#103—731no—
1336#103C22×D7311yescharacteristic
1337#103C22×D7311yescharacteristic
1338#102—731no—
1339#102—731no—
1340#102—731no—
1341#102—731no—
1342#102—731no—
1343#102—731no—
1344#102—731no—
1345#102—731no—
1346#102C22×D7311yescharacteristic
1347#102C22×D7311yescharacteristic
1348#102C22×D7311yescharacteristic
1349#102C22×D7311yescharacteristic
1350C22⋊C8—731no—
1351C22⋊C8—731no—
1352C22⋊C8—731no—
1353C22⋊C8—731no—
1354C22⋊C8C22×D7311yescharacteristic
1355C22⋊C8C22×D7311yescharacteristic
1356#97—731no—
1357#97—731no—
1358#97—731no—
1359#97—731no—
1360C4×C8—731no—
1361C4×C8C22×D7311yescharacteristic
1362C24—21no—
1363C24—21no—
1364#41—22no—
1365#41—41no—
1366#41—41no—
1367#41—41no—
1368#41—2921no—
1369#41—2921no—
1370#41—2921no—
1371#41—5842no—
1372#41—1462no—
1373C2×Q8—2921no—
1374C2×Q8—2921no—
1375C2×Q8—2921no—
1376C2×Q8—2921no—
1377C2×Q8—2921no—
1378C2×Q8—2921no—
1379C2×Q8—5842no—
1380C2×Q8—731no—
1381C2×Q8—731no—
1382C2×Q8—731no—
1383C2×Q8—731no—
1384C2×Q8—731no—
1385C2×Q8—1461no—
1386C2×Q8—1461no—
1387C2×Q8—1461no—
1388C2×Q8—1461no—
1389C2×Q8—1461no—
1390C2×Q8—1461no—
1391C2×Q8—1461no—
1392C2×Q8C23×D7311yescharacteristic
1393C2×Q8C23×D7311yescharacteristic
1394C2×D4—22no—
1395C2×D4—21no—
1396C2×D4—21no—
1397C2×D4—21no—
1398C2×D4—21no—
1399C2×D4—21no—
1400C2×D4—21no—
1401C2×D4—41no—
1402C2×D4—41no—
1403C2×D4—41no—
1404C2×D4—731no—
1405C2×D4—731no—
1406C2×D4—1461no—
1407C2×D4—1461no—
1408C2×D4—1461no—
1409C2×D4—1461no—
1410C2×D4D4×D7311yescharacteristic
1411C2×D4C23×D7311yescharacteristic
1412C2×D4C23×D7311yescharacteristic
1413C2×D4C23×D7311yescharacteristic
1414C2×D4C23×D7311yescharacteristic
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—21no—
1419C22×C4—5842no—
1420C22×C4—731no—
1421C22×C4—731no—
1422C22×C4—731no—
1423C22×C4—1461no—
1424C22×C4—1461no—
1425C22×C4—1461no—
1426C22×C4—1461no—
1427C22×C4—1461no—
1428C22×C4—1461no—
1429C22×C4—1461no—
1430C22×C4—1461no—
1431C22×C4—1461no—
1432C22×C4—1461no—
1433C22×C4—1461no—
1434C22×C4—1461no—
1435C22×C4—1461no—
1436C22×C4—1461no—
1437C22×C4C23×D7311yescharacteristic
1438C22×C4C23×D7311yescharacteristic
1439Q16—41no—
1440Q16—2921no—
1441Q16—2921no—
1442Q16—2921no—
1443Q16—2921no—
1444Q16—2921no—
1445Q16—2921no—
1446Q16—2921no—
1447SD16—22no—
1448SD16—41no—
1449SD16—41no—
1450SD16—41no—
1451SD16—2921no—
1452SD16—2921no—
1453SD16—2921no—
1454SD16—2921no—
1455SD16—2921no—
1456SD16—1462no—
1457SD16—1462no—
1458SD16—1462no—
1459D8—22no—
1460D8—22no—
1461D8—41no—
1462D8—41no—
1463M16—2921no—
1464M16—2921no—
1465C2×C8—41no—
1466C2×C8—41no—
1467C2×C8—2921no—
1468C2×C8—2921no—
1469C2×C8—731no—
1470C2×C8—731no—
1471C2×C8—731no—
1472C2×C8—731no—
1473C2×C8C23×D7311yescharacteristic
1474C2×C8C23×D7311yescharacteristic
1475C2×C8C23×D7311yescharacteristic
1476C2×C8C23×D7311yescharacteristic
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—731no—
1480C4⋊C4—731no—
1481C4⋊C4—731no—
1482C4⋊C4—731no—
1483C4⋊C4—731no—
1484C4⋊C4—731no—
1485C4⋊C4—731no—
1486C4⋊C4—731no—
1487C4⋊C4—731no—
1488C4⋊C4—731no—
1489C4⋊C4—731no—
1490C4⋊C4—731no—
1491C4⋊C4—731no—
1492C4⋊C4—1461no—
1493C4⋊C4—1461no—
1494C4⋊C4—1461no—
1495C4⋊C4—1461no—
1496C4⋊C4—1461no—
1497C4⋊C4—1461no—
1498C4⋊C4—1461no—
1499C4⋊C4—1461no—
1500C4⋊C4—1461no—
1501C4⋊C4—1461no—
1502C4⋊C4—1461no—
1503C4⋊C4—1461no—
1504C4⋊C4—1461no—
1505C4⋊C4—1461no—
1506C4⋊C4—1461no—
1507C4⋊C4—1461no—
1508C4⋊C4—1461no—
1509C4⋊C4—1461no—
1510C4⋊C4—1461no—
1511C4⋊C4—1461no—
1512C4⋊C4—1461no—
1513C4⋊C4—1461no—
1514C4⋊C4—1461no—
1515C4⋊C4—1461no—
1516C4⋊C4—1461no—
1517C4⋊C4—1461no—
1518C4⋊C4—1461no—
1519C4⋊C4—1461no—
1520C4⋊C4—1461no—
1521C4⋊C4D4×D7311yescharacteristic
1522C4⋊C4C23×D7311yescharacteristic
1523C4⋊C4C23×D7311yescharacteristic
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—731no—
1535C22⋊C4—731no—
1536C22⋊C4—731no—
1537C22⋊C4—731no—
1538C22⋊C4—731no—
1539C22⋊C4—731no—
1540C22⋊C4—731no—
1541C22⋊C4—731no—
1542C22⋊C4—1461no—
1543C22⋊C4—1461no—
1544C22⋊C4—1461no—
1545C22⋊C4—1461no—
1546C22⋊C4—1461no—
1547C22⋊C4—1461no—
1548C22⋊C4—1461no—
1549C22⋊C4—1461no—
1550C22⋊C4—1461no—
1551C22⋊C4—1461no—
1552C22⋊C4—1461no—
1553C22⋊C4—1461no—
1554C22⋊C4—1461no—
1555C22⋊C4—1461no—
1556C22⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1569C22⋊C4D4×D7311yescharacteristic
1570C42—731no—
1571C42—731no—
1572C42—731no—
1573C42—731no—
1574C42—731no—
1575C42—1461no—
1576C42—1461no—
1577C42—1461no—
1578C42—1461no—
1579C42—1461no—
1580C42—1461no—
1581C42—1461no—
1582C42—1461no—
1583C42C23×D7311yescharacteristic
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—42no—
1589C23—42no—
1590C23—42no—
1591C23—81no—
1592C23—81no—
1593C23—81no—
1594C23—731no—
1595C23C2×D4×D7311yescharacteristic
1596C23C2×D4×D7311yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—2921no—
1602Q8—2922no—
1603Q8—5841no—
1604Q8—5841no—
1605Q8—5841no—
1606Q8—5841no—
1607Q8—5841no—
1608Q8—5841no—
1609Q8—1461no—
1610Q8—1461no—
1611Q8—1461no—
1612Q8—1461no—
1613Q8—1461no—
1614Q8—1461no—
1615Q8—1461no—
1616Q8—1461no—
1617D4—22no—
1618D4—21no—
1619D4—21no—
1620D4—21no—
1621D4—21no—
1622D4—21no—
1623D4—21no—
1624D4—21no—
1625D4—42no—
1626D4—42no—
1627D4—81no—
1628D4—81no—
1629D4—81no—
1630D4—81no—
1631D4—2922no—
1632D4—2921no—
1633D4—5841no—
1634D4—5841no—
1635D4—5841no—
1636D4—1462no—
1637D4#1455663612yes—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—42no—
1647C2×C4—81no—
1648C2×C4—81no—
1649C2×C4—81no—
1650C2×C4—2922no—
1651C2×C4—2922no—
1652C2×C4—2922no—
1653C2×C4—2921no—
1654C2×C4—5841no—
1655C2×C4—5841no—
1656C2×C4—5841no—
1657C2×C4—5841no—
1658C2×C4—5841no—
1659C2×C4—5841no—
1660C2×C4—5841no—
1661C2×C4—5841no—
1662C2×C4—5841no—
1663C2×C4—5841no—
1664C2×C4—5841no—
1665C2×C4—731no—
1666C2×C4—731no—
1667C2×C4—731no—
1668C2×C4—731no—
1669C2×C4—731no—
1670C2×C4—731no—
1671C2×C4—731no—
1672C2×C4—1461no—
1673C2×C4—1461no—
1674C2×C4—1461no—
1675C2×C4—1461no—
1676C2×C4—1461no—
1677C2×C4—1461no—
1678C2×C4—1461no—
1679C2×C4—1461no—
1680C2×C4—1462no—
1681C2×C4—1461no—
1682C2×C4—1461no—
1683C2×C4C2×D4×D7311yescharacteristic
1684C2×C4C2×D4×D7311yescharacteristic
1685C2×C4C2×D4×D7311yescharacteristic
1686C2×C4C2×D4×D7311yescharacteristic
1687C2×C4C24×D7311yescharacteristic
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—1461no—
1693C8—1461no—
1694C8—1461no—
1695C8—1461no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—22no—
1700C22—21no—
1701C22—21no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—41no—
1708C22—41no—
1709C22—41no—
1710C22—41no—
1711C22—41no—
1712C22—41no—
1713C22—84no—
1714C22—162no—
1715C22—1461no—
1716C22—1461no—
1717C22—1461no—
1718C22#1798940112yes—
1719C22C22×D4×D7311yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—2921no—
1729C4—2921no—
1730C4—2921no—
1731C4—2921no—
1732C4—2921no—
1733C4—2921no—
1734C4—2921no—
1735C4—2921no—
1736C4—1461no—
1737C4—1461no—
1738C4—1461no—
1739C4—1461no—
1740C4—1461no—
1741C4—1461no—
1742C4—1461no—
1743C4C2×#1455663611yescharacteristic
1744C4#1798942211yescharacteristic
1745C2—22no—
1746C2—41no—
1747C2—42no—
1748C2—81no—
1749C2—81no—
1750C2—81no—
1751C2—2921no—
1752C2#2262359111yescharacteristic
1753C2C2×#1798940111yescharacteristic
1754C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3280C2
socleC22×C73C23×D4
hypercenter#3280D73
hypocenterC73#62017
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3280

Complements

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

NH ≅ G/Ntype
1. #22624490C2semidirect
2. #22623967C2semidirect
3. #22623013C2semidirect
4. #22623009C2semidirect
5. #22622647C2semidirect
6. #22622644C2semidirect
7. #22622016C2semidirect
8. #22622012C2semidirect
9. #22621928C2semidirect
10. #22621915C2semidirect
11. #22621808C2semidirect
12. #22621802C2semidirect
13. #22621616C2semidirect
14. #22621486C2semidirect
15. #22621484C2semidirect
16. #22621445C2semidirect
17. #22621437C2semidirect
18. #22621389C2semidirect
19. #22621386C2semidirect
20. #22621272C2semidirect
21. #22621036C2semidirect
22. #22621033C2semidirect
23. #22620931C2semidirect
24. #22620189C2semidirect
25. #22620186C2semidirect
26. #22620025C2semidirect
27. #22619482C2semidirect
28. #22619479C2semidirect
29. C2×#17988800C2semidirect
30. #22619064C2semidirect
31. C73×#3280C2semidirect
32. C2×#14556621C22semidirect
33. C2×#14556620C22semidirect
38. #17989307C22semidirect
39. #17989306C22semidirect
40. #17989306C22semidirect
49. D4×Dic146C22semidirect
51. #17989244C22semidirect
53. #17989243C22semidirect
54. #17989237C22semidirect
55. #17989236C22semidirect
59. #17989206C22semidirect
62. #17989204C22semidirect
63. #17989204C22semidirect
64. #17989202C22semidirect
68. #17989158C22semidirect
69. #17989157C22semidirect
76. #17989070C22semidirect
77. #17989066C22semidirect
79. #17988982C22semidirect
80. #17988978C22semidirect
81. #17988978C22semidirect
82. #17988978C22semidirect
84. #17988946C22semidirect
85. #17988945C22semidirect
86. #17988945C22semidirect
87. #17988945C22semidirect
88. #17988938C22semidirect
89. #17988936C22semidirect
90. #17988924C22semidirect
92. #17988923C22semidirect
94. #17988899C22semidirect
95. #17988898C22semidirect
96. #17988883C22semidirect
97. #17988881C22semidirect
98. #17988881C22semidirect
99. #17988881C22semidirect
100. #17988880C22semidirect
101. #17988880C22semidirect
102. #17988867C22semidirect
103. #17988865C22semidirect
104. #17988865C22semidirect
105. #17988865C22semidirect
106. #17988832C22semidirect
107. #17988831C22semidirect
108. #17988831C22semidirect
109. #17988830C22semidirect
111. #17988828C22semidirect
112. #17988827C22semidirect
116. #17988808C22semidirect
117. #17988808C22semidirect
118. #17988808C22semidirect
119. #17988807C22semidirect
120. #17988807C22semidirect
121. #17988807C22semidirect
122. #17988806C22semidirect
123. #17988806C22semidirect
134. #17988798C22semidirect
135. #17988796C22semidirect
136. #17988796C22semidirect
137. #17988795C22semidirect
138. #17988795C22semidirect
139. #17988795C22semidirect
140. #17988792C22semidirect
141. #17988790C22semidirect
142. #17988790C22semidirect
143. #17988790C22semidirect
144. #17988750C22semidirect
145. #17988749C22semidirect
146. #17988749C22semidirect
147. #17988746C22semidirect
149. #17988745C22semidirect
151. #17988741C22semidirect
156. #17988725C22semidirect
157. #17988724C22semidirect
158. #17988717C22semidirect
159. #17988716C22semidirect
160. #17988688C22semidirect
161. #17988688C22semidirect
162. #17988688C22semidirect
163. #17988687C22semidirect
164. #17988687C22semidirect
165. #17988684C22semidirect
166. #17988684C22semidirect
167. #17988684C22semidirect
168. C4×Dic292C22semidirect
169. #17988679C22semidirect
171. #17988661C22semidirect
173. #17988658C22semidirect
176. #17988646C22semidirect
177. #17988645C22semidirect
179. #17988613C22semidirect
180. #17988612C22semidirect
182. #17988588C22semidirect
183. #17988585C22semidirect
185. C2×#14556516C22semidirect
186. #103×D73C22semidirect
891. #3280D73semidirect
909. C73#62017semidirect

Maximal subgroups

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

subgroupindex
#226244902
#226239672
#226230132
#226230092
#226226472
#226226442
#226220162
#226220122
#226219282
#226219152
#226218082
#226218022
#226216162
#226214862
#226214842
#226214452
#226214372
#226213892
#226213862
#226212722
#226210362
#226210332
#226209312
#226201892
#226201862
#226200252
#226194822
#226194792
C2×#179888002
#226190642
C73×#32802
#6201773