Finite Group Databasebeta

← #33978754

Subgroups — #33978754

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#22623543C211yesmaximal, characteristic, complemented
3#22623002C211yesmaximal, characteristic, complemented
4#22622994C211yesmaximal, characteristic, complemented
5#22622706C211yesmaximal, characteristic, complemented
6#22622698C211yesmaximal, characteristic, complemented
7#22622060C211yesmaximal, characteristic, complemented
8#22622058C211yesmaximal, characteristic, complemented
9#22621886C211yesmaximal, characteristic, complemented
10#22621764C211yesmaximal, characteristic, complemented
11#22621762C211yesmaximal, characteristic, complemented
12#22621642C211yesmaximal, characteristic, complemented
13#22621635C211yesmaximal, characteristic, complemented
14#22621523C211yesmaximal, characteristic, complemented
15#22621514C211yesmaximal, characteristic, complemented
16#22621446C211yesmaximal, characteristic, complemented
17#22621437C211yesmaximal, characteristic, complemented
18#22621286C211yesmaximal, characteristic, complemented
19#22621261C211yesmaximal, characteristic, complemented
20#22621249C211yesmaximal, characteristic, complemented
21#22620947C211yesmaximal, characteristic, complemented
22#22620943C211yesmaximal, characteristic, complemented
23#22620904C211yesmaximal, characteristic, complemented
24#22620078C211yesmaximal, characteristic, complemented
25#22620058C211yesmaximal, characteristic, complemented
26#22619959C211yesmaximal, characteristic, complemented
27#22619402C211yesmaximal, characteristic, complemented
28#22619383C211yesmaximal, characteristic, complemented
29C2×#17988786C211yesmaximal, characteristic, complemented
30#22619051C211yesmaximal, characteristic, complemented
31C73×#3306C211yesmaximal, characteristic, complemented
32C2×#14556624C2211yescharacteristic, complemented
33C2×#14556621C2211yescharacteristic, complemented
34C2×#14556612C2211yescharacteristic, complemented
35C2×#14556610C2211yescharacteristic, complemented
36C22×#11924017C2211yescharacteristic
37C22×#11924016C2211yescharacteristic
38#17989321—21no—
39#17989320C2211yescharacteristic
40#17989319C2211yescharacteristic
41#17989312C2211yescharacteristic, complemented
42#17989308—21no—
43#17989307C2211yescharacteristic, complemented
44#17989274—21no—
45#17989274—21no—
46#17989272C2211yescharacteristic
47#17989272C2211yescharacteristic, complemented
48#17989256C2211yescharacteristic
49#17989255—21no—
50#17989255C2211yescharacteristic
51D4×Dic146C2211yescharacteristic
52#17989243C2211yescharacteristic
53#17989243C2211yescharacteristic, complemented
54#17989236—21no—
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#17989139—21no—
65#17989139C2211yescharacteristic
66#17989136C2211yescharacteristic
67#17989134C2211yescharacteristic
68#17989133C2211yescharacteristic
69#17989132C2211yescharacteristic
70C2×#14556587C2211yescharacteristic
71#17989118C2211yescharacteristic
72#17989118C2211yescharacteristic, complemented
73#17989114—21no—
74#17989114—21no—
75#17989060—21no—
76#41×Dic73—21no—
77C4×#11924027C2211yescharacteristic
78C4×#11924027C2211yescharacteristic, complemented
79C2×#14556556C2211yescharacteristic
80C2×#14556556C2211yescharacteristic, complemented
81#17988982C2211yescharacteristic, complemented
82#17988981C2211yescharacteristic, complemented
83#17988975C2211yescharacteristic
84#17988975C2211yescharacteristic
85#17988970C2211yescharacteristic, complemented
86#17988968C2211yescharacteristic, complemented
87#17988950C2211yescharacteristic
88#17988950C2211yescharacteristic
89#17988949C2211yescharacteristic, complemented
90#17988943C2211yescharacteristic, complemented
91#17988940C2211yescharacteristic, complemented
92#17988917C2211yescharacteristic
93#17988913C2211yescharacteristic, complemented
94#17988909C2211yescharacteristic, complemented
95#17988905C2211yescharacteristic, complemented
96#17988897C2211yescharacteristic, complemented
97#17988896C2211yescharacteristic, complemented
98#17988886C2211yescharacteristic, complemented
99#17988885C2211yescharacteristic, complemented
100#17988874C2211yescharacteristic, complemented
101#17988871C2211yescharacteristic, complemented
102#17988871C2211yescharacteristic, complemented
103#17988871C2211yescharacteristic, complemented
104#17988865C2211yescharacteristic, complemented
105#17988838C2211yescharacteristic, complemented
106#17988833C2211yescharacteristic, complemented
107#17988831C2211yescharacteristic, complemented
108#17988828C2211yescharacteristic
109#17988826C2211yescharacteristic
110#17988817C2211yescharacteristic, complemented
111#17988817C2211yescharacteristic, complemented
112#17988815C2211yescharacteristic, complemented
113#17988815C2211yescharacteristic, complemented
114#17988814C2211yescharacteristic
115#17988812C2211yescharacteristic, complemented
116#17988812C2211yescharacteristic, complemented
117#17988810C2211yescharacteristic, complemented
118#17988808C2211yescharacteristic, complemented
119#17988808C2211yescharacteristic, complemented
120#17988808C2211yescharacteristic, complemented
121#17988807C2211yescharacteristic, complemented
122#17988806C2211yescharacteristic, complemented
123#17988802C2211yescharacteristic, complemented
124#17988801C2211yescharacteristic, complemented
125#17988800C2211yescharacteristic, complemented
126#17988796C2211yescharacteristic, complemented
127#17988796C2211yescharacteristic, complemented
128#17988796C2211yescharacteristic, complemented
129#17988793C2211yescharacteristic, complemented
130#17988792C2211yescharacteristic, complemented
131#17988790C2211yescharacteristic, complemented
132#17988786C2211yescharacteristic
133#17988786C2211yescharacteristic
134#17988786C2211yescharacteristic
135#17988786C2211yescharacteristic
136#17988786C2211yescharacteristic
137#17988786C2211yescharacteristic
138#17988786C2211yescharacteristic
139#17988786C2211yescharacteristic
140#17988786C2211yescharacteristic
141#17988786C2211yescharacteristic
142#17988780C2211yescharacteristic
143#17988780C2211yescharacteristic
144#17988752C2211yescharacteristic, complemented
145#17988752C2211yescharacteristic, complemented
146#17988751C2211yescharacteristic, complemented
147#17988750C2211yescharacteristic, complemented
148#17988750C2211yescharacteristic, complemented
149#17988749C2211yescharacteristic, complemented
150#17988745C2211yescharacteristic
151#17988742C2211yescharacteristic
152#17988740C2211yescharacteristic
153#17988738C2211yescharacteristic
154#17988733C2211yescharacteristic, complemented
155#17988730C2211yescharacteristic, complemented
156#17988729C2211yescharacteristic, complemented
157#17988728C2211yescharacteristic, complemented
158#17988725C2211yescharacteristic, complemented
159#17988720C2211yescharacteristic
160#17988716C2211yescharacteristic, complemented
161#17988715C2211yescharacteristic, complemented
162#17988697C2211yescharacteristic, complemented
163#17988693C2211yescharacteristic, complemented
164#17988693C2211yescharacteristic, complemented
165#17988691C2211yescharacteristic, complemented
166#17988691C2211yescharacteristic, complemented
167#17988689C2211yescharacteristic, complemented
168#17988687C2211yescharacteristic, complemented
169#17988678C2211yescharacteristic, complemented
170#17988678C2211yescharacteristic, complemented
171#17988674C2211yescharacteristic, complemented
172#17988674C2211yescharacteristic, complemented
173#17988661C2211yescharacteristic, complemented
174#17988659C2211yescharacteristic
175#17988656C2211yescharacteristic, complemented
176C8×C22⋊D73C2211yescharacteristic
177#17988650C2211yescharacteristic
178#17988642C2211yescharacteristic, complemented
179#17988641C2211yescharacteristic
180#17988637C2211yescharacteristic, complemented
181#17988610C2211yescharacteristic, complemented
182C2×#14556520C2211yescharacteristic
183C4⋊C8×D73C2211yescharacteristic, complemented
184#17988586C2211yescharacteristic, complemented
185#17988582C2211yescharacteristic, complemented
186#17988580C2211yescharacteristic, complemented
187C2×#14556511C2211yescharacteristic
188#547×C73C2211yescharacteristic
189#546×C73C2211yescharacteristic
190#489×C73C2211yescharacteristic, complemented
191#483×C73C2211yescharacteristic
192#481×C73C2211yescharacteristic, complemented
193#476×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic
196#463×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#447×C73C2211yescharacteristic
199#442×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic
201#417×C73C2211yescharacteristic, complemented
202C2×#102×C73C2211yescharacteristic
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028C2311yescharacteristic
206C2×#11924027—21no—
207C2×#11924027D411yescharacteristic
208C2×#11924027C2311yescharacteristic
209C2×#11924027C2311yescharacteristic
210C22×Dic146C2311yescharacteristic
211C22×Dic146C2311yescharacteristic
212C22×D292C2311yescharacteristic
213C22×C22⋊D73—21no—
214C22×C22⋊D73—21no—
215#14556624—42no—
216#14556621—42no—
217#14556612—42no—
218#14556610—42no—
219C2×Dic292C2311yescharacteristic
220C2×Dic292C2311yescharacteristic
221C2×Dic292C2311yescharacteristic
222C2×#11924018C2311yescharacteristic
223C2×#11924018C2311yescharacteristic
224C2×#11924018C2311yescharacteristic
225C2×#11924017—42no—
226C2×#11924017C2311yescharacteristic
227C2×#11924017C2311yescharacteristic
228C2×#11924017C2311yescharacteristic
229C2×#11924017C2311yescharacteristic
230C2×#11924017C2311yescharacteristic
231C2×#11924017C2311yescharacteristic
232C2×#11924016—42no—
233C2×#11924016C2311yescharacteristic
234C2×#11924016C2311yescharacteristic
235C2×#11924016C2311yescharacteristic
236C2×#11924016C2311yescharacteristic
237C2×#11924016C2311yescharacteristic
238C2×#11924016C2311yescharacteristic
239C2×#11924016C2311yescharacteristic
240C2×#11924013C2311yescharacteristic
241C2×#11924013C2311yescharacteristic
242C2×#11924012C2311yescharacteristic
243C22×#10596831C2311yescharacteristic
244C2×C8×D73C2311yescharacteristic
245C2×C8×D73C2311yescharacteristic
246#14556591C2311yescharacteristic
247#14556590—21no—
248#14556590C2311yescharacteristic
249#14556589—21no—
250#14556589C2311yescharacteristic
251#14556587—21no—
252#14556587—21no—
253#14556587—21no—
254#14556587—21no—
255#14556587C2311yescharacteristic
256#14556587C2311yescharacteristic
257#14556587C2311yescharacteristic
258#14556587C2311yescharacteristic
259#14556586—21no—
260#14556586—21no—
261#14556584—21no—
262#14556584—21no—
263#14556584—21no—
264#14556584—21no—
265#14556582—21no—
266#14556582C2311yescharacteristic
267#14556582C2311yescharacteristic
268#14556581—21no—
269#14556581—21no—
270#14556581—21no—
271#14556581—21no—
272#14556581—21no—
273#14556580C2311yescharacteristic
274#14556579C2311yescharacteristic
275#14556578C2311yescharacteristic
276#14556578C2311yescharacteristic
277#14556578C2311yescharacteristic
278#14556577—21no—
279#14556577—21no—
280#14556577—21no—
281#14556577—21no—
282#14556577—21no—
283#14556577—21no—
284#14556576—21no—
285#14556576—21no—
286#14556575—21no—
287#14556574—21no—
288#14556574—21no—
289#14556574—21no—
290#14556573—21no—
291#14556573—21no—
292#14556572—21no—
293#14556572—21no—
294#14556572—21no—
295#14556571C2311yescharacteristic
296#14556571C2311yescharacteristic
297#14556570—21no—
298#14556570C2311yescharacteristic
299#14556570C2311yescharacteristic
300#14556570C2311yescharacteristic
301#14556568—21no—
302#14556568—21no—
303#14556568—21no—
304#14556568—21no—
305#14556568—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#14556563—21no—
317#14556563—21no—
318#14556563—21no—
319#14556563—21no—
320#14556563—21no—
321#14556563—21no—
322#14556563—21no—
323#14556562—21no—
324#14556562C2311yescharacteristic
325#14556561—21no—
326#14556560—21no—
327#14556559—21no—
328Q8×Dic73—21no—
329Q8×Dic73—21no—
330Q8×Dic73C2311yescharacteristic
331C4×Dic146C2311yescharacteristic
332C4×Dic146C2311yescharacteristic
333#14556556—21no—
334#14556556—21no—
335#14556556—21no—
336#14556556—21no—
337#14556556—21no—
338#14556556D411yescharacteristic
339#14556556C2311yescharacteristic
340#14556556C2311yescharacteristic
341#14556556C2311yescharacteristic
342#14556556C2311yescharacteristic
343#14556556C2311yescharacteristic
344#14556556C2311yescharacteristic
345#14556556C2311yescharacteristic
346#14556556C2311yescharacteristic
347C4×D292C2311yescharacteristic
348D4×Dic73—21no—
349D4×Dic73—21no—
350D4×Dic73—21no—
351D4×Dic73—21no—
352D4×Dic73—21no—
353D4×Dic73D411yescharacteristic
354D4×Dic73C2311yescharacteristic
355D4×Dic73C2311yescharacteristic
356#14556553C2311yescharacteristic
357C4×C22⋊D73—21no—
358C4×C22⋊D73—21no—
359C4×C22⋊D73—21no—
360C4×C22⋊D73—21no—
361C4×C22⋊D73—21no—
362C4×C22⋊D73—21no—
363C4×C22⋊D73C2311yescharacteristic
364C4×C22⋊D73C2311yescharacteristic
365#14556551—21no—
366#14556551—21no—
367#14556551—21no—
368#14556551—21no—
369#14556551—21no—
370#14556551—21no—
371#14556551D411yescharacteristic
372#14556551D411yescharacteristic
373#14556550—21no—
374#14556550—21no—
375#14556550—21no—
376#14556549—21no—
377#14556549D411yescharacteristic
378#14556549C2311yescharacteristic
379#14556547—21no—
380#14556547—21no—
381#14556547—21no—
382#14556547—21no—
383#14556547D411yescharacteristic
384#14556547D411yescharacteristic
385C2×#11924007—21no—
386C2×#11924007—21no—
387C2×C22⋊Dic73—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C2×C4×Dic73—21no—
391C2×C4×Dic73—21no—
392C2×C4×Dic73—21no—
393C2×C4×Dic73C2311yescharacteristic
394C2×C4×Dic73C2311yescharacteristic
395C42×D73C2311yescharacteristic
396#14556525C2311yescharacteristic
397#14556524C2311yescharacteristic
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#14556516C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556514C2311yescharacteristic
417#14556514C2311yescharacteristic
418#14556514C2311yescharacteristic
419#14556514C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556512C2311yescharacteristic
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×C73—21no—
442C2×#41×C73C2311yescharacteristic
443C22×D4×C73C2311yescharacteristic
444C2×SD16×C73C2311yescharacteristic
445C2×D8×C73C2311yescharacteristic
446C2×D8×C73C2311yescharacteristic
447C2×M16×C73C2311yescharacteristic
448C22×C8×C73C2311yescharacteristic
449C4⋊Q8×C73C2311yescharacteristic
450#124×C73C2311yescharacteristic
451#123×C73—21no—
452#123×C73—21no—
453#123×C73—21no—
454C22⋊Q8×C73—21no—
455C22⋊Q8×C73C2311yescharacteristic
456#121×C73—21no—
457#121×C73C2311yescharacteristic
458#121×C73C2311yescharacteristic
459#121×C73C2311yescharacteristic
460#120×C73—21no—
461C4×D4×C73C2311yescharacteristic
462C4×D4×C73C2311yescharacteristic
463C4×D4×C73C2311yescharacteristic
464C2×C4⋊C4×C73C2311yescharacteristic
465C2×C4⋊C4×C73C2311yescharacteristic
466C2×C22⋊C4×C73—21no—
467#106×C73C2311yescharacteristic
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470C4⋊C8×C73C2311yescharacteristic
471#103×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#102×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—41no—
486#11924029—41no—
487#11924028—41no—
488#11924028—41no—
489#11924028—82no—
490#11924027—22no—
491#11924027—41no—
492#11924027—41no—
493#11924027—41no—
494#11924027—42no—
495#11924027—82no—
496C2×Dic146—22no—
497C2×Dic146—22no—
498C2×Dic146—21no—
499C2×Dic146—21no—
500C2×Dic146—21no—
501C2×Dic146—41no—
502C2×Dic146—41no—
503C2×Dic146C2×D411yescharacteristic
504C2×Dic146C2411yescharacteristic
505C2×Dic146C2411yescharacteristic
506C2×Dic146C2411yescharacteristic
507C2×Dic146C2411yescharacteristic
508C2×D292—21no—
509C2×D292—21no—
510C2×D292—21no—
511C2×D292—41no—
512C2×D292—41no—
513C2×D292C2411yescharacteristic
514C2×D292C2411yescharacteristic
515C2×C22⋊D73—21no—
516C2×C22⋊D73—21no—
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—44no—
529C2×C22⋊D73—82no—
530C2×C22⋊D73C2×D411yescharacteristic
531C2×C22⋊D73C2×D411yescharacteristic
532C22×Dic73—21no—
533C22×Dic73—21no—
534C22×Dic73—21no—
535C22×Dic73—21no—
536C22×Dic73—21no—
537C22×Dic73—21no—
538C22×Dic73C2×D411yescharacteristic
539C22×Dic73C2×D411yescharacteristic
540C22×Dic73C2×D411yescharacteristic
541C22×Dic73C2×D411yescharacteristic
542C2×C4×D73—21no—
543C2×C4×D73—21no—
544C2×C4×D73—21no—
545C2×C4×D73—21no—
546C2×C4×D73C2×D411yescharacteristic
547C2×C4×D73C2×D411yescharacteristic
548C2×C4×D73C2411yescharacteristic
549Dic292—22no—
550Dic292—41no—
551Dic292—41no—
552#11924018—22no—
553#11924018—41no—
554#11924018—41no—
555#11924017—22no—
556#11924017—22no—
557#11924017—41no—
558#11924017—41no—
559#11924017—41no—
560#11924017—41no—
561#11924016—22no—
562#11924016—22no—
563#11924016—41no—
564#11924016—41no—
565#11924016—41no—
566#11924016—41no—
567#11924016—41no—
568#11924013—41no—
569#11924013—41no—
570#11924012—41no—
571C2×#10596831—41no—
572C2×#10596831C2411yescharacteristic
573C2×#10596831C2411yescharacteristic
574C2×#10596831C2411yescharacteristic
575C2×#10596831C2411yescharacteristic
576C8×D73—41no—
577C8×D73—41no—
578C4⋊Dic73—21no—
579C4⋊Dic73—21no—
580C4⋊Dic73—21no—
581C4⋊Dic73—21no—
582C4⋊Dic73—21no—
583C4⋊Dic73—21no—
584C4⋊Dic73—21no—
585C4⋊Dic73C2×D411yescharacteristic
586C4⋊Dic73C2411yescharacteristic
587C4⋊Dic73C2411yescharacteristic
588#11924007—21no—
589#11924007—21no—
590#11924007—21no—
591#11924007—21no—
592#11924007—21no—
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#11924007C2×D411yescharacteristic
606#11924007C2×D411yescharacteristic
607#11924007C2×D411yescharacteristic
608#11924007C2×D411yescharacteristic
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
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#11924005C2×D411yescharacteristic
635#11924005C2×D411yescharacteristic
636C4×Dic73—21no—
637C4×Dic73—21no—
638C4×Dic73—21no—
639C4×Dic73—21no—
640C4×Dic73—21no—
641C4×Dic73—21no—
642C4×Dic73—21no—
643C4×Dic73—21no—
644C4×Dic73—21no—
645C4×Dic73—21no—
646C4×Dic73—21no—
647C4×Dic73C2×D411yescharacteristic
648C4×Dic73C2×D411yescharacteristic
649C4×Dic73C2×D411yescharacteristic
650C4×Dic73C2×D411yescharacteristic
651C4×Dic73C2×D411yescharacteristic
652C4×Dic73C2×D411yescharacteristic
653C4×Dic73C2411yescharacteristic
654C4×Dic73C2411yescharacteristic
655C4×Dic73C2411yescharacteristic
656C24×C73—21no—
657#41×C73—41no—
658#41×C73—41no—
659#41×C73—44no—
660C2×Q8×C73—21no—
661C2×Q8×C73C2411yescharacteristic
662C2×D4×C73—21no—
663C2×D4×C73—21no—
664C2×D4×C73—21no—
665C2×D4×C73—21no—
666C2×D4×C73—21no—
667C2×D4×C73—41no—
668C2×D4×C73—41no—
669C2×D4×C73C2×D411yescharacteristic
670C2×D4×C73C2411yescharacteristic
671C2×D4×C73C2411yescharacteristic
672C2×D4×C73C2411yescharacteristic
673C22×C4×C73—21no—
674C22×C4×C73—21no—
675C22×C4×C73—21no—
676C22×C4×C73—21no—
677C22×C4×C73—21no—
678C22×C4×C73C2411yescharacteristic
679C22×C4×C73C2411yescharacteristic
680SD16×C73—41no—
681D8×C73—41no—
682D8×C73—41no—
683M16×C73—41no—
684C2×C8×C73—41no—
685C2×C8×C73C2411yescharacteristic
686C2×C8×C73C2411yescharacteristic
687C2×C8×C73C2411yescharacteristic
688C2×C8×C73C2411yescharacteristic
689C4⋊C4×C73—21no—
690C4⋊C4×C73—21no—
691C4⋊C4×C73—21no—
692C4⋊C4×C73—21no—
693C4⋊C4×C73C2×D411yescharacteristic
694C4⋊C4×C73C2411yescharacteristic
695C4⋊C4×C73C2411yescharacteristic
696C4⋊C4×C73C2411yescharacteristic
697C4⋊C4×C73C2411yescharacteristic
698C22⋊C4×C73—21no—
699C22⋊C4×C73—21no—
700C22⋊C4×C73—21no—
701C22⋊C4×C73—21no—
702C22⋊C4×C73—21no—
703C22⋊C4×C73—21no—
704C22⋊C4×C73—21no—
705C22⋊C4×C73—21no—
706C22⋊C4×C73C2×D411yescharacteristic
707C22⋊C4×C73C2×D411yescharacteristic
708C42×C73C2411yescharacteristic
709C23×C73—21no—
710C23×C73—21no—
711C23×C73—21no—
712C23×C73—42no—
713C23×C73—81no—
714C23×C73—81no—
715C23×C73C22×D411yescharacteristic
716C23×C73C22×D411yescharacteristic
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—42no—
726D4×C73—22no—
727D4×C73—21no—
728D4×C73—21no—
729D4×C73—21no—
730D4×C73—21no—
731D4×C73—21no—
732D4×C73—21no—
733D4×C73—42no—
734D4×C73—42no—
735D4×C73—81no—
736D4×C73—81no—
737D4×C73—81no—
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—21no—
747C2×C4×C73—42no—
748C2×C4×C73—42no—
749C2×C4×C73—42no—
750C2×C4×C73—81no—
751C2×C4×C73—81no—
752C2×C4×C73C22×D411yescharacteristic
753C2×C4×C73C22×D411yescharacteristic
754C2×C4×C73C22×D411yescharacteristic
755C2×C4×C73C22×D411yescharacteristic
756C2×C4×C73C2511yescharacteristic
757C22⋊D73—22no—
758C22⋊D73—41no—
759C22⋊D73—42no—
760C22⋊D73—42no—
761C22⋊D73—42no—
762C22⋊D73—42no—
763C22⋊D73—42no—
764C22⋊D73—42no—
765C22⋊D73—42no—
766C22⋊D73—81no—
767C22⋊D73—81no—
768C22⋊D73—81no—
769C22⋊D73—81no—
770C22⋊D73—81no—
771C22⋊D73—81no—
772C2×Dic73—22no—
773C2×Dic73—21no—
774C2×Dic73—22no—
775C2×Dic73—22no—
776C2×Dic73—21no—
777C2×Dic73—21no—
778C2×Dic73—21no—
779C2×Dic73—21no—
780C2×Dic73—21no—
781C2×Dic73—41no—
782C2×Dic73—42no—
783C2×Dic73—42no—
784C2×Dic73—42no—
785C2×Dic73—42no—
786C2×Dic73—81no—
787C2×Dic73—81no—
788C2×Dic73C22×D411yescharacteristic
789C2×Dic73C22×D411yescharacteristic
790C2×Dic73C22×D411yescharacteristic
791C2×Dic73C22×D411yescharacteristic
792C2×Dic73C22×D411yescharacteristic
793C2×Dic73C22×D411yescharacteristic
794C2×Dic73C22×D411yescharacteristic
795D292—21no—
796D292—21no—
797D292—21no—
798D292—21no—
799D292—81no—
800D292—81no—
801D292—81no—
802C4×D73—21no—
803C4×D73—21no—
804C4×D73—22no—
805C4×D73—41no—
806C4×D73—81no—
807C4×D73—81no—
808C4×D73—81no—
809C4×D73—81no—
810Dic146—21no—
811Dic146—21no—
812Dic146—21no—
813Dic146—21no—
814Dic146—21no—
815Dic146—21no—
816Dic146—21no—
817Dic146—41no—
818Dic146—42no—
819Dic146—42no—
820Dic146—42no—
821Dic146H(5,𝔽2)12yes—
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—41no—
836C22×C73—41no—
837C22×C73—41no—
838C22×C73—41no—
839C22×C73—41no—
840C22×C73—41no—
841C22×C73—41no—
842C22×C73—41no—
843C22×C73—41no—
844C22×C73—162no—
845C22×C73#57512yes—
846C22×C73C23×D411yescharacteristic
847C2×D73—21no—
848C2×D73—21no—
849C2×D73—21no—
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×C73C2×H(5,𝔽2)11yescharacteristic
867C4×C73#58511yescharacteristic
868Dic73—22no—
869Dic73—21no—
870Dic73—21no—
871Dic73—21no—
872Dic73—21no—
873Dic73—21no—
874Dic73—21no—
875Dic73—41no—
876Dic73—41no—
877Dic73—41no—
878Dic73—41no—
879Dic73—41no—
880Dic73#57712yes—
881#61981—731nomaximal, Sylow
882C2×C73—22no—
883C2×C73—41no—
884C2×C73—81no—
885C2×C73—81no—
886C2×C73—81no—
887C2×C73#348811yescharacteristic
888C2×C73C2×#57511yescharacteristic
889C2×C73C2×#57711yescharacteristic
890D73—41no—
891D73—81no—
892D73—81no—
893#3508—731no—
894#3482—731no—
895#3401—731no—
896#3401—731no—
897#3371—731no—
898#3371—731no—
899#3317—731no—
900#3317—731no—
901#3306—731no—
902#3306D7311yescharacteristic, complemented
903#3296—731no—
904#3296—731no—
905#3282—731no—
906#3282—731no—
907#3271—731no—
908#3271—731no—
909#3266—731no—
910#3266—731no—
911#3251—731no—
912#3248—731no—
913#3246—731no—
914#3217—731no—
915#3216—731no—
916#3212—731no—
917#3115—731no—
918#3113—731no—
919#3103—731no—
920#3037—731no—
921#3035—731no—
922C2×#460—731no—
923#2990—731no—
924C73#6198111yescharacteristic, complemented, Sylow
925C2×#137—731no—
926C2×#137—731no—
927C2×#135—731no—
928C2×#135—731no—
929C22×SD16—731no—
930C22×SD16—731no—
931#559—731no—
932#559—731no—
933#559—1461no—
934#557—731no—
935#556—731no—
936#556—1461no—
937#552—731no—
938#552—731no—
939#552—1461no—
940#552—1461no—
941#550—731no—
942#550—731no—
943#550—1461no—
944D4×Q8—731no—
945#548—731no—
946#548—731no—
947#547—1461no—
948#547C2×D7311yescharacteristic
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—1461no—
961#532—731no—
962#532—731no—
963#532—731no—
964#532—731no—
965C2×#127—731no—
966#529—731no—
967#529—731no—
968#529—1461no—
969#529—1461no—
970#518—1461no—
971C4×#41—731no—
972C4×#41—731no—
973C4×#41—1461no—
974C2×C4×Q8—731no—
975C2×C4×Q8—731no—
976#497—731no—
977#497—731no—
978#496—731no—
979#496—731no—
980#495—731no—
981#495—731no—
982#490—731no—
983#490—731no—
984#489—731no—
985#489C2×D7311yescharacteristic, complemented
986#488—731no—
987#488—731no—
988#483—731no—
989#483C2×D7311yescharacteristic
990#482—731no—
991#482—731no—
992#481—731no—
993#481C2×D7311yescharacteristic, complemented
994#479—731no—
995#479—731no—
996#478—731no—
997#478—731no—
998#476—731no—
999#476C2×D7311yescharacteristic, complemented
1000#475—731no—
1001#475—731no—
1002#475—731no—
1003#474—731no—
1004#469—731no—
1005#469C2×D7311yescharacteristic, complemented
1006#468—731no—
1007#468—731no—
1008#467—731no—
1009#467—731no—
1010#465—731no—
1011#465—731no—
1012#465—731no—
1013#465—731no—
1014#465—731no—
1015#465C2×D7311yescharacteristic
1016#464—731no—
1017#464—731no—
1018#464—731no—
1019#464—731no—
1020#464—731no—
1021#464—731no—
1022#464—731no—
1023#464—731no—
1024#463—731no—
1025#463—731no—
1026#463—731no—
1027#463C2×D7311yescharacteristic, complemented
1028#462—731no—
1029#462—731no—
1030#462—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#460—731no—
1043#460—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#451—731no—
1053#451—731no—
1054#450—731no—
1055#450—731no—
1056#449—731no—
1057#449—731no—
1058#449—731no—
1059#449C2×D7311yescharacteristic, complemented
1060#448—731no—
1061#448—731no—
1062#447—731no—
1063#447C2×D7311yescharacteristic
1064#446—731no—
1065#446—731no—
1066#442—731no—
1067#442C2×D7311yescharacteristic, complemented
1068#441—731no—
1069#441—731no—
1070#441—731no—
1071#441—731no—
1072#440—731no—
1073#440—731no—
1074C4×SD16—731no—
1075C4×SD16—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#417—731no—
1091#417C2×D7311yescharacteristic, complemented
1092#416—731no—
1093#416—731no—
1094C2×#102—731no—
1095C2×#102C2×D7311yescharacteristic
1096C2×#41—21no—
1097C2×#41—731no—
1098C2×#41—731no—
1099C2×#41—731no—
1100C2×#41—731no—
1101C2×#41—731no—
1102C2×#41—1461no—
1103C2×#41—1461no—
1104C2×#41C22×D7311yescharacteristic
1105C22×Q8—731no—
1106C22×Q8—731no—
1107C22×D4—731no—
1108C22×D4—1461no—
1109C22×D4—1461no—
1110C22×D4C22×D7311yescharacteristic
1111#137—2922no—
1112#137—2922no—
1113#135—2922no—
1114#135—2922no—
1115C2×Q16—731no—
1116C2×Q16—731no—
1117C2×Q16—731no—
1118C2×Q16—731no—
1119C2×Q16—731no—
1120C2×Q16—731no—
1121C2×SD16—2922no—
1122C2×SD16—2922no—
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×SD16—731no—
1136C2×SD16C22×D7311yescharacteristic
1137C2×D8—731no—
1138C2×D8—731no—
1139C2×D8C22×D7311yescharacteristic
1140C2×D8C22×D7311yescharacteristic
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—1461no—
1151C4⋊Q8—1461no—
1152C4⋊Q8C22×D7311yescharacteristic
1153#127—731no—
1154#127—731no—
1155#127—731no—
1156#127—731no—
1157#127—1461no—
1158#127—1461no—
1159#127—1461no—
1160#127—1461no—
1161#126—1461no—
1162#126—1461no—
1163#126—1461no—
1164#126—1461no—
1165#126—1461no—
1166#126—1461no—
1167#125—731no—
1168#125—731no—
1169#125—1461no—
1170#125—1461no—
1171#125—1461no—
1172#125—1461no—
1173#125—1461no—
1174#125—1461no—
1175#124—731no—
1176#124—731no—
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—21no—
1189#123—21no—
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—21no—
1202C22⋊Q8—731no—
1203C22⋊Q8—731no—
1204C22⋊Q8—731no—
1205C22⋊Q8—731no—
1206C22⋊Q8—731no—
1207C22⋊Q8—1461no—
1208C22⋊Q8—1461no—
1209C22⋊Q8—1461no—
1210C22⋊Q8—1461no—
1211C22⋊Q8—1461no—
1212C22⋊Q8—1461no—
1213C22⋊Q8—1461no—
1214C22⋊Q8C22×D7311yescharacteristic
1215#121—21no—
1216#121—731no—
1217#121—731no—
1218#121—731no—
1219#121—1461no—
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#121C22×D7311yescharacteristic
1235#121C22×D7311yescharacteristic
1236#121C22×D7311yescharacteristic
1237#120—21no—
1238#120—1461no—
1239#120—1461no—
1240#120—1461no—
1241C4×Q8—731no—
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—731no—
1252C4×Q8—731no—
1253C4×Q8—1461no—
1254C4×Q8—1461no—
1255C4×Q8—1461no—
1256C4×Q8—1461no—
1257C4×Q8—1461no—
1258C4×Q8—1461no—
1259C4×Q8—1461no—
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—1461no—
1270C4×D4—1461no—
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×D4C22×D7311yescharacteristic
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#117—1461no—
1301C2×C4⋊C4—1461no—
1302C2×C4⋊C4—1461no—
1303C2×C4⋊C4C22×D7311yescharacteristic
1304C2×C4⋊C4C22×D7311yescharacteristic
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#107—731no—
1317#106—731no—
1318#106—731no—
1319#106—731no—
1320#106C22×D7311yescharacteristic
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#103—731no—
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#102C22×D7311yescharacteristic
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—44no—
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—5842no—
1391#41—5842no—
1392#41—1462no—
1393C2×Q8—21no—
1394C2×Q8—2921no—
1395C2×Q8—2921no—
1396C2×Q8—731no—
1397C2×Q8—731no—
1398C2×Q8—731no—
1399C2×Q8—731no—
1400C2×Q8—731no—
1401C2×Q8—1462no—
1402C2×Q8—1462no—
1403C2×Q8—1461no—
1404C2×Q8—1461no—
1405C2×Q8—1461no—
1406C2×Q8C23×D7311yescharacteristic
1407C2×D4—21no—
1408C2×D4—21no—
1409C2×D4—21no—
1410C2×D4—21no—
1411C2×D4—21no—
1412C2×D4—41no—
1413C2×D4—41no—
1414C2×D4—2921no—
1415C2×D4—2921no—
1416C2×D4—2924no—
1417C2×D4—5842no—
1418C2×D4—731no—
1419C2×D4—731no—
1420C2×D4—731no—
1421C2×D4—731no—
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×D4D4×D7311yescharacteristic
1439C2×D4C23×D7311yescharacteristic
1440C2×D4C23×D7311yescharacteristic
1441C2×D4C23×D7311yescharacteristic
1442C22×C4—21no—
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—21no—
1447C22×C4—731no—
1448C22×C4—731no—
1449C22×C4—731no—
1450C22×C4—731no—
1451C22×C4—731no—
1452C22×C4—731no—
1453C22×C4—731no—
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—2921no—
1467Q16—2921no—
1468Q16—2921no—
1469Q16—2921no—
1470Q16—1462no—
1471Q16—1462no—
1472SD16—41no—
1473SD16—2921no—
1474SD16—2921no—
1475SD16—2921no—
1476SD16—2921no—
1477SD16—2921no—
1478SD16—2921no—
1479SD16—2921no—
1480SD16—2921no—
1481SD16—2921no—
1482SD16—1462no—
1483SD16—1462no—
1484SD16—1462no—
1485SD16—1462no—
1486D8—41no—
1487D8—41no—
1488D8—2921no—
1489D8—2921no—
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—731no—
1509C4⋊C4—731no—
1510C4⋊C4—731no—
1511C4⋊C4—731no—
1512C4⋊C4—731no—
1513C4⋊C4—731no—
1514C4⋊C4—731no—
1515C4⋊C4—1461no—
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—731no—
1553C22⋊C4—731no—
1554C22⋊C4—731no—
1555C22⋊C4—731no—
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⋊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—731no—
1582C42—731no—
1583C42—731no—
1584C42—731no—
1585C42—731no—
1586C42—731no—
1587C42—731no—
1588C42—731no—
1589C42—731no—
1590C42—1461no—
1591C42—1461no—
1592C42—1461no—
1593C42—1461no—
1594C42—1461no—
1595C42—1461no—
1596C42—1461no—
1597C42—1461no—
1598C42—1461no—
1599C42—1461no—
1600C42—1461no—
1601C42C23×D7311yescharacteristic
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—42no—
1606C23—81no—
1607C23—81no—
1608C23—2922no—
1609C23—5841no—
1610C23—5841no—
1611C23—731no—
1612C23—1461no—
1613C23—1461no—
1614C23C2×D4×D7311yescharacteristic
1615C23C2×D4×D7311yescharacteristic
1616Q8—21no—
1617Q8—21no—
1618Q8—42no—
1619Q8—2922no—
1620Q8—2922no—
1621Q8—2921no—
1622Q8—2922no—
1623Q8—732no—
1624Q8—1461no—
1625Q8—1461no—
1626Q8—1461no—
1627Q8—1461no—
1628Q8—1461no—
1629Q8—1461no—
1630Q8—1461no—
1631D4—22no—
1632D4—21no—
1633D4—21no—
1634D4—21no—
1635D4—21no—
1636D4—21no—
1637D4—21no—
1638D4—42no—
1639D4—42no—
1640D4—81no—
1641D4—81no—
1642D4—81no—
1643D4—2922no—
1644D4—2922no—
1645D4—2921no—
1646D4—2922no—
1647D4—2922no—
1648D4—2922no—
1649D4—2922no—
1650D4—2922no—
1651D4—5841no—
1652D4—5841no—
1653D4—5841no—
1654D4—5841no—
1655D4—5841no—
1656D4—5841no—
1657D4—5841no—
1658D4—5841no—
1659D4—5841no—
1660D4—1462no—
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—42no—
1675C2×C4—42no—
1676C2×C4—42no—
1677C2×C4—81no—
1678C2×C4—81no—
1679C2×C4—2921no—
1680C2×C4—2922no—
1681C2×C4—2922no—
1682C2×C4—2922no—
1683C2×C4—2921no—
1684C2×C4—2922no—
1685C2×C4—5841no—
1686C2×C4—5841no—
1687C2×C4—5841no—
1688C2×C4—5841no—
1689C2×C4—5841no—
1690C2×C4—5841no—
1691C2×C4—731no—
1692C2×C4—731no—
1693C2×C4—731no—
1694C2×C4—731no—
1695C2×C4—731no—
1696C2×C4—731no—
1697C2×C4—731no—
1698C2×C4—1462no—
1699C2×C4—1461no—
1700C2×C4—1461no—
1701C2×C4—1461no—
1702C2×C4—1461no—
1703C2×C4—1461no—
1704C2×C4—1462no—
1705C2×C4—1462no—
1706C2×C4—1462no—
1707C2×C4—1461no—
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—41no—
1729C22—41no—
1730C22—41no—
1731C22—41no—
1732C22—41no—
1733C22—41no—
1734C22—41no—
1735C22—41no—
1736C22—41no—
1737C22—162no—
1738C22—2921no—
1739C22—2921no—
1740C22—2921no—
1741C22—2921no—
1742C22—2921no—
1743C22—2921no—
1744C22—11682no—
1745C22—1461no—
1746C22—1461no—
1747C22—1461no—
1748C22#1798938312yes—
1749C22C22×D4×D7311yescharacteristic
1750C4—21no—
1751C4—21no—
1752C4—21no—
1753C4—21no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—41no—
1758C4—41no—
1759C4—2921no—
1760C4—2921no—
1761C4—2921no—
1762C4—2921no—
1763C4—2921no—
1764C4—732no—
1765C4—1462no—
1766C4—1461no—
1767C4—1461no—
1768C4—1461no—
1769C4—1461no—
1770C4—1461no—
1771C4—1461no—
1772C4H(5,𝔽2)×D7311yescharacteristic
1773C4#1798942311yescharacteristic
1774C2—22no—
1775C2—41no—
1776C2—81no—
1777C2—81no—
1778C2—81no—
1779C2—2921no—
1780C2—5841no—
1781C2—5841no—
1782C2#2262359411yescharacteristic
1783C2C2×#1798938311yescharacteristic
1784C2#577×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3306C2
socleC22×C73C23×D4
hypercenter#3306D73
hypocenterC73#61981
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #22623799C2semidirect
2. #22623543C2semidirect
3. #22623002C2semidirect
4. #22622994C2semidirect
5. #22622706C2semidirect
6. #22622698C2semidirect
7. #22622060C2semidirect
8. #22622058C2semidirect
9. #22621886C2semidirect
10. #22621764C2semidirect
11. #22621762C2semidirect
12. #22621642C2semidirect
13. #22621635C2semidirect
14. #22621523C2semidirect
15. #22621514C2semidirect
16. #22621446C2semidirect
17. #22621437C2semidirect
18. #22621286C2semidirect
19. #22621261C2semidirect
20. #22621249C2semidirect
21. #22620947C2semidirect
22. #22620943C2semidirect
23. #22620904C2semidirect
24. #22620078C2semidirect
25. #22620058C2semidirect
26. #22619959C2semidirect
27. #22619402C2semidirect
28. #22619383C2semidirect
29. C2×#17988786C2semidirect
30. #22619051C2semidirect
31. C73×#3306C2semidirect
32. C2×#14556624C22semidirect
33. C2×#14556621C22semidirect
34. C2×#14556612C22semidirect
35. C2×#14556610C22semidirect
41. #17989312C22semidirect
43. #17989307C22semidirect
47. #17989272C22semidirect
53. #17989243C22semidirect
63. #17989142C22semidirect
72. #17989118C22semidirect
78. C4×#11924027C22semidirect
80. C2×#14556556C22semidirect
81. #17988982C22semidirect
82. #17988981C22semidirect
85. #17988970C22semidirect
86. #17988968C22semidirect
89. #17988949C22semidirect
90. #17988943C22semidirect
91. #17988940C22semidirect
93. #17988913C22semidirect
94. #17988909C22semidirect
95. #17988905C22semidirect
96. #17988897C22semidirect
97. #17988896C22semidirect
98. #17988886C22semidirect
99. #17988885C22semidirect
100. #17988874C22semidirect
101. #17988871C22semidirect
102. #17988871C22semidirect
103. #17988871C22semidirect
104. #17988865C22semidirect
105. #17988838C22semidirect
106. #17988833C22semidirect
107. #17988831C22semidirect
110. #17988817C22semidirect
111. #17988817C22semidirect
112. #17988815C22semidirect
113. #17988815C22semidirect
115. #17988812C22semidirect
116. #17988812C22semidirect
117. #17988810C22semidirect
118. #17988808C22semidirect
119. #17988808C22semidirect
120. #17988808C22semidirect
121. #17988807C22semidirect
122. #17988806C22semidirect
123. #17988802C22semidirect
124. #17988801C22semidirect
125. #17988800C22semidirect
126. #17988796C22semidirect
127. #17988796C22semidirect
128. #17988796C22semidirect
129. #17988793C22semidirect
130. #17988792C22semidirect
131. #17988790C22semidirect
144. #17988752C22semidirect
145. #17988752C22semidirect
146. #17988751C22semidirect
147. #17988750C22semidirect
148. #17988750C22semidirect
149. #17988749C22semidirect
154. #17988733C22semidirect
155. #17988730C22semidirect
156. #17988729C22semidirect
157. #17988728C22semidirect
158. #17988725C22semidirect
160. #17988716C22semidirect
161. #17988715C22semidirect
162. #17988697C22semidirect
163. #17988693C22semidirect
164. #17988693C22semidirect
165. #17988691C22semidirect
166. #17988691C22semidirect
167. #17988689C22semidirect
168. #17988687C22semidirect
169. #17988678C22semidirect
170. #17988678C22semidirect
171. #17988674C22semidirect
172. #17988674C22semidirect
173. #17988661C22semidirect
175. #17988656C22semidirect
178. #17988642C22semidirect
180. #17988637C22semidirect
181. #17988610C22semidirect
183. C4⋊C8×D73C22semidirect
184. #17988586C22semidirect
185. #17988582C22semidirect
186. #17988580C22semidirect
190. #489×C73C22semidirect
192. #481×C73C22semidirect
193. #476×C73C22semidirect
194. #469×C73C22semidirect
196. #463×C73C22semidirect
197. #449×C73C22semidirect
199. #442×C73C22semidirect
201. #417×C73C22semidirect
902. #3306D73semidirect
924. C73#61981semidirect
985. #489C2×D73semidirect
993. #481C2×D73semidirect
999. #476C2×D73semidirect
1005. #469C2×D73semidirect
1027. #463C2×D73semidirect
1059. #449C2×D73semidirect
1067. #442C2×D73semidirect
1091. #417C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237992
#226235432
#226230022
#226229942
#226227062
#226226982
#226220602
#226220582
#226218862
#226217642
#226217622
#226216422
#226216352
#226215232
#226215142
#226214462
#226214372
#226212862
#226212612
#226212492
#226209472
#226209432
#226209042
#226200782
#226200582
#226199592
#226194022
#226193832
C2×#179887862
#226190512
C73×#33062
#6198173