Finite Group Databasebeta

← #33958678

Subgroups — #33958678

Order 18688.

1700 conjugacy classes of subgroups.

The subgroup lattice has 1636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623752C211yesmaximal, characteristic, complemented
2#22623352C211yesmaximal, characteristic
3#22621235C211yesmaximal, characteristic, complemented
4#22621224C211yesmaximal, characteristic, complemented
5#22621220C211yesmaximal, characteristic, complemented
6#22621209C211yesmaximal, characteristic, complemented
7#22621190C211yesmaximal, characteristic, complemented
8#22621185C211yesmaximal, characteristic, complemented
9#22621185C211yesmaximal, characteristic, complemented
10#22621182C211yesmaximal, characteristic, complemented
11#22621176C211yesmaximal, characteristic, complemented
12#22621123C211yesmaximal, characteristic, complemented
13#22621119C211yesmaximal, characteristic, complemented
14#22621103C211yesmaximal, characteristic, complemented
15#22621095C211yesmaximal, characteristic, complemented
16#22621067C211yesmaximal, characteristic, complemented
17#22621066C211yesmaximal, characteristic, complemented
18#22620466C211yesmaximal, characteristic, complemented
19#22620458C211yesmaximal, characteristic, complemented
20#22620282C211yesmaximal, characteristic, complemented
21#22620282C211yesmaximal, characteristic, complemented
22#22619917C211yesmaximal, characteristic, complemented
23#22619912C211yesmaximal, characteristic, complemented
24#22619886C211yesmaximal, characteristic, complemented
25#22619884C211yesmaximal, characteristic, complemented
26#22619750C211yesmaximal, characteristic, complemented
27#22619726C211yesmaximal, characteristic, complemented
28#22619718C211yesmaximal, characteristic, complemented
29#478×D73C211yesmaximal, characteristic, complemented
30#22618598C211yesmaximal, characteristic, complemented
31C73×#3240C211yesmaximal, characteristic, complemented
32#17989315—21no—
33#17989315—21no—
34#17989297—21no—
35#17989297—21no—
36#17989291—21no—
37#17989291—21no—
38#17989291—21no—
39#17989291—21no—
40#17989217C2211yescharacteristic
41#17989215C2211yescharacteristic, complemented
42#17989215C2211yescharacteristic, complemented
43#17989214C2211yescharacteristic
44#17989214C2211yescharacteristic
45#17989214C2211yescharacteristic, complemented
46#17989214C2211yescharacteristic, complemented
47#17989210C2211yescharacteristic
48#17989206C2211yescharacteristic
49#17989203—21no—
50#17989193C2211yescharacteristic
51#17989190C2211yescharacteristic
52#17989189—21no—
53#17989176—21no—
54#17989173—21no—
55#17989167C2211yescharacteristic
56#17989155C2211yescharacteristic
57#17989153C2211yescharacteristic
58#17989143C2211yescharacteristic
59#17989143C2211yescharacteristic, complemented
60#17989137C2211yescharacteristic
61#17989134—21no—
62#17989134C2211yescharacteristic
63#17989124C2211yescharacteristic
64#17989115—21no—
65C2×#14556583C2211yescharacteristic, complemented
66#125×D73C2211yescharacteristic
67#125×D73C2211yescharacteristic, complemented
68#17989099—21no—
69#17989096—21no—
70#17989067C2211yescharacteristic
71#17989067C2211yescharacteristic
72C4×#11924029C2211yescharacteristic
73C4×#11924028C2211yescharacteristic
74C4×D4×D73C2211yescharacteristic
75#17988996C2211yescharacteristic, complemented
76#17988996C2211yescharacteristic, complemented
77#17988995C2211yescharacteristic, complemented
78#17988995C2211yescharacteristic, complemented
79#17988994C2211yescharacteristic, complemented
80#17988994C2211yescharacteristic, complemented
81#17988991C2211yescharacteristic, complemented
82#17988990C2211yescharacteristic, complemented
83#17988988C2211yescharacteristic, complemented
84#17988987C2211yescharacteristic, complemented
85#17988986C2211yescharacteristic, complemented
86#17988986C2211yescharacteristic, complemented
87#17988984C2211yescharacteristic, complemented
88#17988983C2211yescharacteristic, complemented
89#17988952C2211yescharacteristic
90#17988952C2211yescharacteristic
91#17988950C2211yescharacteristic
92#17988950C2211yescharacteristic
93#17988948C2211yescharacteristic
94#17988948C2211yescharacteristic
95#17988943C2211yescharacteristic
96#17988943C2211yescharacteristic
97#17988941C2211yescharacteristic
98#17988941C2211yescharacteristic
99#17988935C2211yescharacteristic
100#17988935C2211yescharacteristic
101#17988932C2211yescharacteristic
102#17988932C2211yescharacteristic
103#17988927C2211yescharacteristic, complemented
104#17988926C2211yescharacteristic, complemented
105#17988921C2211yescharacteristic, complemented
106#17988920C2211yescharacteristic, complemented
107#17988916C2211yescharacteristic, complemented
108#17988915C2211yescharacteristic, complemented
109#17988914C2211yescharacteristic
110#17988914C2211yescharacteristic, complemented
111#17988913C2211yescharacteristic
112#17988913C2211yescharacteristic, complemented
113#17988911C2211yescharacteristic
114#17988911C2211yescharacteristic
115#17988911C2211yescharacteristic, complemented
116#17988911C2211yescharacteristic, complemented
117#17988910C2211yescharacteristic
118#17988909C2211yescharacteristic
119#17988907C2211yescharacteristic
120#17988907C2211yescharacteristic, complemented
121#17988906C2211yescharacteristic
122#17988906C2211yescharacteristic, complemented
123#17988904C2211yescharacteristic
124#17988903C2211yescharacteristic
125#17988902C2211yescharacteristic
126#17988902C2211yescharacteristic, complemented
127#17988901C2211yescharacteristic
128#17988901C2211yescharacteristic, complemented
129#17988899C2211yescharacteristic
130#17988898C2211yescharacteristic
131#17988896C2211yescharacteristic, complemented
132#17988894C2211yescharacteristic, complemented
133#17988894C2211yescharacteristic, complemented
134#17988892C2211yescharacteristic, complemented
135#17988890C2211yescharacteristic
136#17988890C2211yescharacteristic, complemented
137#17988889C2211yescharacteristic
138#17988888C2211yescharacteristic
139#17988888C2211yescharacteristic
140#17988888C2211yescharacteristic, complemented
141#17988888C2211yescharacteristic, complemented
142#17988887C2211yescharacteristic
143#17988887C2211yescharacteristic
144#17988886C2211yescharacteristic
145#17988886C2211yescharacteristic, complemented
146#17988885C2211yescharacteristic
147#17988884C2211yescharacteristic
148#17988884C2211yescharacteristic
149#17988884C2211yescharacteristic, complemented
150#17988884C2211yescharacteristic, complemented
151#17988880C2211yescharacteristic, complemented
152#17988876C2211yescharacteristic
153#17988876C2211yescharacteristic, complemented
154#17988875C2211yescharacteristic
155#17988870C2211yescharacteristic, complemented
156#17988866C2211yescharacteristic
157#17988866C2211yescharacteristic, complemented
158#17988865C2211yescharacteristic
159#17988649C2211yescharacteristic, complemented
160#17988649C2211yescharacteristic, complemented
161#17988645C2211yescharacteristic, complemented
162#17988645C2211yescharacteristic, complemented
163#17988643C2211yescharacteristic, complemented
164#17988640C2211yescharacteristic, complemented
165#17988639C2211yescharacteristic, complemented
166#17988628C2211yescharacteristic
167#17988628C2211yescharacteristic
168#17988626C2211yescharacteristic
169#17988626C2211yescharacteristic
170#17988624C2211yescharacteristic
171#17988622C2211yescharacteristic
172#107×D73C2211yescharacteristic
173#106×D73C2211yescharacteristic
174#17988609C2211yescharacteristic
175C4⋊C8×D73C2211yescharacteristic
176#17988590C2211yescharacteristic
177#17988590C2211yescharacteristic
178#17988587C2211yescharacteristic
179#17988587C2211yescharacteristic
180#17988582C2211yescharacteristic
181#17988582C2211yescharacteristic
182#102×D73C2211yescharacteristic
183#102×D73C2211yescharacteristic
184#17988552C2211yescharacteristic
185#17988552C2211yescharacteristic
186#17988544C2211yescharacteristic
187#17988544C2211yescharacteristic
188#533×C73C2211yescharacteristic, complemented
189#529×C73C2211yescharacteristic
190#501×C73C2211yescharacteristic, complemented
191#501×C73C2211yescharacteristic, complemented
192#489×C73C2211yescharacteristic
193#489×C73C2211yescharacteristic
194#485×C73C2211yescharacteristic, complemented
195#485×C73C2211yescharacteristic, complemented
196#482×C73C2211yescharacteristic
197#482×C73C2211yescharacteristic
198#479×C73C2211yescharacteristic, complemented
199#479×C73C2211yescharacteristic, complemented
200#478×C73C2211yescharacteristic
201#478×C73C2211yescharacteristic
202#432×C73C2211yescharacteristic, complemented
203C2×#11924029C2311yescharacteristic
204C2×#11924028—21no—
205C2×#11924028—21no—
206C2×#11924028C2311yescharacteristic
207C2×D4×D73C2311yescharacteristic
208C22×C4×D73—21no—
209C2×#11924011C2311yescharacteristic
210C2×#11924011C2311yescharacteristic
211C2×C8×D73C2311yescharacteristic
212C2×C8×D73C2311yescharacteristic
213#14556591—21no—
214#14556591—21no—
215#14556591C2311yescharacteristic
216#14556590—21no—
217#14556590C2311yescharacteristic
218#14556590C2311yescharacteristic
219#14556590C2311yescharacteristic
220#14556590C2311yescharacteristic
221#14556590C2311yescharacteristic
222#14556589—21no—
223#14556589—21no—
224#14556589—21no—
225#14556589—21no—
226#14556588C2311yescharacteristic
227#14556587—21no—
228#14556587C2311yescharacteristic
229#14556586—21no—
230#14556586—21no—
231#14556584—21no—
232#14556583—21no—
233#14556583—21no—
234#14556583—21no—
235#14556583—21no—
236#14556583C2311yescharacteristic
237#14556583C2311yescharacteristic
238#14556583C2311yescharacteristic
239#14556583C2311yescharacteristic
240#14556582C2311yescharacteristic
241#14556582C2311yescharacteristic
242#14556582C2311yescharacteristic
243#14556582C2311yescharacteristic
244#14556582C2311yescharacteristic
245#14556581—21no—
246#14556581—21no—
247#14556581—21no—
248#14556581—21no—
249#14556581—21no—
250#14556581—21no—
251#14556581—21no—
252#14556581—21no—
253#14556581—21no—
254#14556580C2311yescharacteristic
255#14556579—21no—
256#14556577—21no—
257#14556577—21no—
258#14556577—21no—
259#14556577—21no—
260#14556576—21no—
261#14556576—21no—
262#14556576—21no—
263#14556575—21no—
264#14556575—21no—
265#14556573—21no—
266#14556573—21no—
267#14556571—21no—
268#14556571—21no—
269#14556569—21no—
270#14556569—21no—
271#14556569—21no—
272#14556569—21no—
273#14556569—21no—
274#14556569—21no—
275#14556569—21no—
276#14556569—21no—
277#14556569—21no—
278#14556569—21no—
279#14556568—21no—
280#14556568—21no—
281#14556568—21no—
282#14556568—21no—
283#14556568—21no—
284#14556567—21no—
285#14556567—21no—
286#14556567—21no—
287#14556567—21no—
288#14556567C2311yescharacteristic
289#14556566—21no—
290#14556566—21no—
291#14556566—21no—
292#14556566C2311yescharacteristic
293#14556566C2311yescharacteristic
294#14556565—21no—
295#14556565C2311yescharacteristic
296#14556565C2311yescharacteristic
297#14556564—21no—
298#14556564—21no—
299#14556564—21no—
300#14556564—21no—
301#14556564—21no—
302#14556563—21no—
303#14556562—21no—
304#14556562C2311yescharacteristic
305#14556561—21no—
306#14556561—21no—
307#14556561—21no—
308#14556559—21no—
309Q8×Dic73C2311yescharacteristic
310C4×Dic146—21no—
311C4×Dic146—21no—
312C4×Dic146D411yescharacteristic
313C4×Dic146D411yescharacteristic
314#14556556—21no—
315#14556556—21no—
316#14556556—21no—
317#14556556—21no—
318C4×D292—21no—
319C4×D292—21no—
320C4×D292—21no—
321C4×D292—21no—
322C4×D292—21no—
323C4×D292D411yescharacteristic
324C4×D292D411yescharacteristic
325C4×D292C2311yescharacteristic
326C4×D292C2311yescharacteristic
327D4×Dic73C2311yescharacteristic
328#14556553—21no—
329#14556553C2311yescharacteristic
330#14556553C2311yescharacteristic
331C4×C22⋊D73—21no—
332C4×C22⋊D73—21no—
333C4×C22⋊D73D411yescharacteristic
334C4×C22⋊D73D411yescharacteristic
335C4×C22⋊D73D411yescharacteristic
336C4×C22⋊D73D411yescharacteristic
337#14556551—21no—
338#14556551—21no—
339#14556551—21no—
340#14556551—21no—
341#14556551—21no—
342#14556550C2311yescharacteristic
343#14556549—21no—
344#14556549C2311yescharacteristic
345#14556549C2311yescharacteristic
346#14556549C2311yescharacteristic
347#14556549C2311yescharacteristic
348#14556549C2311yescharacteristic
349#14556548—21no—
350#14556548C2311yescharacteristic
351#14556548C2311yescharacteristic
352C2×C4⋊Dic73C2311yescharacteristic
353C2×C4⋊Dic73C2311yescharacteristic
354C2×#11924007—21no—
355C2×#11924007—21no—
356C4⋊C4×D73—21no—
357C4⋊C4×D73—21no—
358C4⋊C4×D73—21no—
359C4⋊C4×D73—21no—
360C4⋊C4×D73C2311yescharacteristic
361C4⋊C4×D73C2311yescharacteristic
362C4⋊C4×D73C2311yescharacteristic
363C4⋊C4×D73C2311yescharacteristic
364C4⋊C4×D73C2311yescharacteristic
365C22⋊C4×D73—21no—
366C42×D73—21no—
367C42×D73C2311yescharacteristic
368C42×D73C2311yescharacteristic
369#14556525C2311yescharacteristic
370#14556525C2311yescharacteristic
371#14556525C2311yescharacteristic
372#14556525C2311yescharacteristic
373#14556524C2311yescharacteristic
374#14556524C2311yescharacteristic
375#14556524C2311yescharacteristic
376#14556524C2311yescharacteristic
377#14556524C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556523C2311yescharacteristic
382#14556523C2311yescharacteristic
383#14556523C2311yescharacteristic
384#14556523C2311yescharacteristic
385#14556522C2311yescharacteristic
386#14556522C2311yescharacteristic
387#14556522C2311yescharacteristic
388#14556522C2311yescharacteristic
389#14556522C2311yescharacteristic
390#14556522C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393C4⋊#10596831C2311yescharacteristic
394C4⋊#10596831C2311yescharacteristic
395#14556520C2311yescharacteristic
396#14556520C2311yescharacteristic
397#14556520C2311yescharacteristic
398#14556520C2311yescharacteristic
399#14556515C2311yescharacteristic
400#14556515C2311yescharacteristic
401#14556515C2311yescharacteristic
402#14556515C2311yescharacteristic
403#14556513C2311yescharacteristic
404#14556513C2311yescharacteristic
405#14556513C2311yescharacteristic
406#14556513C2311yescharacteristic
407#14556513C2311yescharacteristic
408#14556513C2311yescharacteristic
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556512C2311yescharacteristic
412#14556512C2311yescharacteristic
413#14556512C2311yescharacteristic
414#14556512C2311yescharacteristic
415#14556511C2311yescharacteristic
416#14556511C2311yescharacteristic
417#14556511C2311yescharacteristic
418#14556511C2311yescharacteristic
419#14556511C2311yescharacteristic
420#14556511C2311yescharacteristic
421#14556511C2311yescharacteristic
422#14556511C2311yescharacteristic
423C22⋊#10596831C2311yescharacteristic
424C22⋊#10596831C2311yescharacteristic
425#14556503C2311yescharacteristic
426#14556503C2311yescharacteristic
427#14556503C2311yescharacteristic
428#14556503C2311yescharacteristic
429#14556501C2311yescharacteristic
430#14556501C2311yescharacteristic
431C4×#10596831C2311yescharacteristic
432C4×#10596831C2311yescharacteristic
433C8×Dic73C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C4⋊Q8×C73C2311yescharacteristic
436C4⋊Q8×C73C2311yescharacteristic
437#126×C73—21no—
438#125×C73C2311yescharacteristic
439#125×C73C2311yescharacteristic
440#125×C73C2311yescharacteristic
441#124×C73C2311yescharacteristic
442#123×C73—21no—
443C22⋊Q8×C73—21no—
444C22⋊Q8×C73—21no—
445C22⋊Q8×C73C2311yescharacteristic
446#121×C73C2311yescharacteristic
447C4×Q8×C73—21no—
448C4×Q8×C73—21no—
449C4×Q8×C73C2311yescharacteristic
450C4×D4×C73—21no—
451C4×D4×C73C2311yescharacteristic
452#117×C73—21no—
453#117×C73C2311yescharacteristic
454#117×C73C2311yescharacteristic
455C2×C42×C73C2311yescharacteristic
456#107×C73C2311yescharacteristic
457#107×C73C2311yescharacteristic
458#107×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#106×C73C2311yescharacteristic
461#106×C73C2311yescharacteristic
462#106×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464C4⋊C8×C73C2311yescharacteristic
465C4⋊C8×C73C2311yescharacteristic
466#103×C73C2311yescharacteristic
467#103×C73C2311yescharacteristic
468#103×C73C2311yescharacteristic
469#103×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474C22⋊C8×C73C2311yescharacteristic
475C22⋊C8×C73C2311yescharacteristic
476#97×C73C2311yescharacteristic
477#97×C73C2311yescharacteristic
478C23×D73—21no—
479#11924029—22no—
480#11924029—22no—
481#11924028—22no—
482#11924028—22no—
483#11924028—82no—
484#11924028—82no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—21no—
491C2×Dic146C2×D411yescharacteristic
492C2×D292—21no—
493C2×D292—21no—
494C2×D292—21no—
495C2×D292—21no—
496C2×D292—21no—
497C2×D292C2×D411yescharacteristic
498C2×D292C2411yescharacteristic
499C2×D292C2411yescharacteristic
500C2×C22⋊D73—21no—
501C2×C22⋊D73—21no—
502C2×C22⋊D73—21no—
503C2×C22⋊D73—21no—
504C2×C22⋊D73—21no—
505C2×C22⋊D73—21no—
506C2×C22⋊D73C2×D411yescharacteristic
507C2×C22⋊D73C2×D411yescharacteristic
508D4×D73—22no—
509D4×D73—22no—
510C22×Dic73—21no—
511C22×Dic73—21no—
512C22×Dic73—21no—
513C2×C4×D73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—21no—
518C2×C4×D73—21no—
519C2×C4×D73—21no—
520C2×C4×D73—21no—
521C2×C4×D73—21no—
522C2×C4×D73—21no—
523C2×C4×D73—82no—
524C2×C4×D73C2×D411yescharacteristic
525C2×C4×D73C2×D411yescharacteristic
526C2×C4×D73C2×D411yescharacteristic
527C2×C4×D73C2×D411yescharacteristic
528C2×C4×D73C2411yescharacteristic
529C2×C4×D73C2411yescharacteristic
530#11924011—22no—
531#11924011—22no—
532C2×#10596831C2411yescharacteristic
533C2×#10596831C2411yescharacteristic
534C2×#10596831C2411yescharacteristic
535C2×#10596831C2411yescharacteristic
536C8×D73—22no—
537C8×D73—22no—
538C4⋊Dic73—21no—
539C4⋊Dic73—21no—
540C4⋊Dic73—21no—
541C4⋊Dic73—21no—
542C4⋊Dic73—21no—
543C4⋊Dic73—21no—
544C4⋊Dic73—21no—
545C4⋊Dic73—21no—
546C4⋊Dic73—21no—
547C4⋊Dic73C2×D411yescharacteristic
548C4⋊Dic73C2×D411yescharacteristic
549C4⋊Dic73C2411yescharacteristic
550C4⋊Dic73C2411yescharacteristic
551C4⋊Dic73C2411yescharacteristic
552C4⋊Dic73C2411yescharacteristic
553C4⋊Dic73C2411yescharacteristic
554C4⋊Dic73C2411yescharacteristic
555#11924007—21no—
556#11924007—21no—
557#11924007—21no—
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007—21no—
579#11924007C2×D411yescharacteristic
580#11924007C2×D411yescharacteristic
581#11924007C2×D411yescharacteristic
582#11924007C2×D411yescharacteristic
583C22⋊Dic73—21no—
584C22⋊Dic73—21no—
585C22⋊Dic73C2×D411yescharacteristic
586C22⋊Dic73C2×D411yescharacteristic
587#11924005—21no—
588#11924005—21no—
589#11924005—21no—
590#11924005—21no—
591#11924005—21no—
592#11924005—21no—
593#11924005—21no—
594#11924005—21no—
595#11924005—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005C2×D411yescharacteristic
604#11924005C2×D411yescharacteristic
605#11924005C2×D411yescharacteristic
606#11924005C2×D411yescharacteristic
607C4×Dic73—21no—
608C4×Dic73—21no—
609C4×Dic73—21no—
610C4×Dic73—21no—
611C4×Dic73—21no—
612C4×Dic73—21no—
613C4×Dic73C2×D411yescharacteristic
614C4×Dic73C2×D411yescharacteristic
615C4×Dic73C2×D411yescharacteristic
616C4×Dic73C2×D411yescharacteristic
617C4×Dic73C2411yescharacteristic
618C4×Dic73C2411yescharacteristic
619C2×Q8×C73—21no—
620C2×Q8×C73—21no—
621C2×Q8×C73C2411yescharacteristic
622C2×D4×C73—21no—
623C2×D4×C73C2411yescharacteristic
624C22×C4×C73—21no—
625C22×C4×C73C2×D411yescharacteristic
626C22×C4×C73C2×D411yescharacteristic
627C22×C4×C73C2411yescharacteristic
628C2×C8×C73C2411yescharacteristic
629C2×C8×C73C2411yescharacteristic
630C2×C8×C73C2411yescharacteristic
631C2×C8×C73C2411yescharacteristic
632C4⋊C4×C73—21no—
633C4⋊C4×C73—21no—
634C4⋊C4×C73—21no—
635C4⋊C4×C73—21no—
636C4⋊C4×C73—21no—
637C4⋊C4×C73—21no—
638C4⋊C4×C73—21no—
639C4⋊C4×C73—21no—
640C4⋊C4×C73—21no—
641C4⋊C4×C73—21no—
642C4⋊C4×C73C2411yescharacteristic
643C4⋊C4×C73C2411yescharacteristic
644C4⋊C4×C73C2411yescharacteristic
645C4⋊C4×C73C2411yescharacteristic
646C4⋊C4×C73C2411yescharacteristic
647C4⋊C4×C73C2411yescharacteristic
648C22⋊C4×C73—21no—
649C22⋊C4×C73—21no—
650C22⋊C4×C73—21no—
651C22⋊C4×C73—21no—
652C22⋊C4×C73—21no—
653C22⋊C4×C73—21no—
654C22⋊C4×C73—21no—
655C42×C73—21no—
656C42×C73—21no—
657C42×C73—21no—
658C42×C73C2×D411yescharacteristic
659C42×C73C2×D411yescharacteristic
660C42×C73C2411yescharacteristic
661C42×C73C2411yescharacteristic
662C23×C73—21no—
663C23×C73C22×D411yescharacteristic
664C22×D73—21no—
665C22×D73—21no—
666C22×D73—42no—
667C22×D73—81no—
668C22×D73—81no—
669C22×D73C22×D411yescharacteristic
670C22×D73C22×D411yescharacteristic
671Q8×C73—21no—
672Q8×C73—21no—
673Q8×C73—81no—
674Q8×C73—81no—
675D4×C73—21no—
676D4×C73—21no—
677D4×C73—81no—
678C2×C4×C73—21no—
679C2×C4×C73—21no—
680C2×C4×C73—21no—
681C2×C4×C73—21no—
682C2×C4×C73—21no—
683C2×C4×C73—21no—
684C2×C4×C73—21no—
685C2×C4×C73—21no—
686C2×C4×C73—21no—
687C2×C4×C73—41no—
688C2×C4×C73—41no—
689C2×C4×C73—42no—
690C2×C4×C73C22×D411yescharacteristic
691C2×C4×C73C22×D411yescharacteristic
692C2×C4×C73C22×D411yescharacteristic
693C2×C4×C73C22×D411yescharacteristic
694C2×C4×C73C22×D411yescharacteristic
695C2×C4×C73C2511yescharacteristic
696C22⋊D73—22no—
697C22⋊D73—22no—
698C22⋊D73—42no—
699C22⋊D73—81no—
700C22⋊D73—81no—
701C22⋊D73—81no—
702C22⋊D73—81no—
703C22⋊D73—81no—
704C2×Dic73—21no—
705C2×Dic73—21no—
706C2×Dic73—21no—
707C2×Dic73—21no—
708C2×Dic73—21no—
709C2×Dic73—21no—
710C2×Dic73—81no—
711C2×Dic73—81no—
712C2×Dic73—81no—
713C2×Dic73C22×D411yescharacteristic
714C2×Dic73C22×D411yescharacteristic
715C2×Dic73C22×D411yescharacteristic
716C2×Dic73C22×D411yescharacteristic
717C2×Dic73C22×D411yescharacteristic
718C2×Dic73C22×D411yescharacteristic
719D292—22no—
720D292—21no—
721D292—21no—
722D292—21no—
723D292—21no—
724D292—42no—
725D292—81no—
726D292—81no—
727D292—81no—
728D292—81no—
729C4×D73—21no—
730C4×D73—21no—
731C4×D73—41no—
732C4×D73—41no—
733C4×D73—41no—
734C4×D73—41no—
735C4×D73—42no—
736C4×D73—42no—
737C4×D73—42no—
738C4×D73—81no—
739C4×D73—81no—
740C4×D73—81no—
741C4×D73—81no—
742C4×D73—81no—
743C4×D73—81no—
744C4×D73—81no—
745C4×D732−1+412yes—
746C4×D732−1+412yes—
747Dic146—22no—
748Dic146—81no—
749Dic146—81no—
750Dic146—81no—
751Dic146—81no—
752Dic146—81no—
753Dic146—81no—
754C8×C73—21no—
755C8×C73—21no—
756C8×C73—21no—
757C8×C73—21no—
758#10596831—21no—
759#10596831—21no—
760#10596831—21no—
761#10596831—21no—
762C22×C73—21no—
763C22×C73—21no—
764C22×C73—21no—
765C22×C73—41no—
766C22×C73—41no—
767C22×C73—41no—
768C22×C73C23×D411yescharacteristic
769C2×D73—21no—
770C2×D73—21no—
771C2×D73—21no—
772C2×D73—21no—
773C2×D73—21no—
774C2×D73—41no—
775C2×D73—41no—
776C2×D73—41no—
777C2×D73—41no—
778C2×D73—41no—
779C2×D73—41no—
780C2×D73—84no—
781C2×D73#53612yes—
782C4×C73—21no—
783C4×C73—21no—
784C4×C73—21no—
785C4×C73—21no—
786C4×C73—21no—
787C4×C73—41no—
788C4×C73—41no—
789C4×C73—41no—
790C4×C73—41no—
791C4×C73—41no—
792C4×C73—41no—
793C4×C73—41no—
794C4×C73C2×2−1+411yescharacteristic
795C4×C73C2×2−1+411yescharacteristic
796Dic73—21no—
797Dic73—21no—
798Dic73—21no—
799Dic73—21no—
800Dic73—21no—
801Dic73—41no—
802Dic73—41no—
803Dic73—41no—
804Dic73—41no—
805Dic73—41no—
806Dic73—41no—
807Dic73#53612yes—
808#60890—731nomaximal, Sylow
809C2×C73—41no—
810C2×C73—81no—
811C2×C73C2×#53611yescharacteristic
812C2×C73#358411yescharacteristic
813C2×C73#358511yescharacteristic
814D73—22no—
815D73—41no—
816D73—81no—
817D73—81no—
818#3504—731no—
819#3460—731no—
820#3244—731no—
821#3244—731no—
822#3243—731no—
823#3243—731no—
824#3241—731no—
825#3241—731no—
826#3241—731no—
827#3241—731no—
828#3240—731no—
829#3240D7311yescharacteristic, complemented
830#3234—731no—
831#3234—731no—
832#3232—731no—
833#3232—731no—
834#3228—731no—
835#3228—731no—
836#3164—731no—
837#3163—731no—
838#3136—731no—
839#3136—731no—
840#3099—731no—
841#3098—731no—
842#3096—731no—
843#3096—731no—
844#3080—731no—
845#3077—731no—
846#3076—731no—
847C2×#478—731no—
848#2925—731no—
849C73#6089011yescharacteristic, complemented, Sylow
850#557—1461no—
851#557—1461no—
852#554—1461no—
853#554—1461no—
854#554—1461no—
855#554—1461no—
856#554—1461no—
857#554—1461no—
858#544—731no—
859#544—731no—
860#544—731no—
861#544—731no—
862#544—731no—
863#544—731no—
864#544—731no—
865#542—731no—
866#542—731no—
867#542—1461no—
868#540—731no—
869#540—731no—
870#540—1461no—
871#538—1461no—
872#538—1461no—
873#537—731no—
874#535—731no—
875#535—731no—
876#533—731no—
877#533—731no—
878#533C2×D7311yescharacteristic, complemented
879#532—731no—
880#532—731no—
881#532—1461no—
882#529—731no—
883#529—1461no—
884#529C2×D7311yescharacteristic
885C2×#125—731no—
886C2×#125—731no—
887C2×#125—731no—
888#525—1461no—
889#525—1461no—
890#520—731no—
891#520—731no—
892C4×#41—731no—
893C4×#41—731no—
894C2×C4×D4—731no—
895#501—731no—
896#501—731no—
897#501—731no—
898#501—731no—
899#501—731no—
900#501—731no—
901#501C2×D7311yescharacteristic, complemented
902#501C2×D7311yescharacteristic, complemented
903#500—731no—
904#500—731no—
905#499—731no—
906#499—731no—
907#499—731no—
908#499—731no—
909#498—731no—
910#498—731no—
911#490—731no—
912#490—731no—
913#490—731no—
914#490—731no—
915#489—731no—
916#489—731no—
917#489C2×D7311yescharacteristic
918#489C2×D7311yescharacteristic
919#488—731no—
920#488—731no—
921#488—731no—
922#488—731no—
923#486—731no—
924#486—731no—
925#486—731no—
926#486—731no—
927#485—731no—
928#485—731no—
929#485C2×D7311yescharacteristic, complemented
930#485C2×D7311yescharacteristic, complemented
931#484—731no—
932#484—731no—
933#483—731no—
934#483—731no—
935#482—731no—
936#482—731no—
937#482—731no—
938#482—731no—
939#482—731no—
940#482—731no—
941#482—731no—
942#482—731no—
943#482—731no—
944#482—731no—
945#482C2×D7311yescharacteristic
946#482C2×D7311yescharacteristic
947#481—731no—
948#481—731no—
949#481—731no—
950#481—731no—
951#481—731no—
952#481—731no—
953#480—731no—
954#480—731no—
955#480—731no—
956#480—731no—
957#480—731no—
958#480—731no—
959#479—731no—
960#479—731no—
961#479—731no—
962#479—731no—
963#479C2×D7311yescharacteristic, complemented
964#479C2×D7311yescharacteristic, complemented
965#478—731no—
966#478—731no—
967#478—731no—
968#478—731no—
969#478—731no—
970#478—731no—
971#478—731no—
972#478—731no—
973#478—731no—
974#478—731no—
975#478—731no—
976#478—731no—
977#478—731no—
978#478—731no—
979#478—731no—
980#478—731no—
981#478C2×D7311yescharacteristic
982#478C2×D7311yescharacteristic
983#477—731no—
984#476—731no—
985#476—731no—
986#476—731no—
987#475—731no—
988#474—731no—
989#474—731no—
990#474—731no—
991#433—731no—
992#433—731no—
993#433—731no—
994#433—731no—
995#432—731no—
996#432C2×D7311yescharacteristic, complemented
997#431—731no—
998#431—731no—
999#428—731no—
1000#428—731no—
1001#428—731no—
1002#428—731no—
1003#427—731no—
1004#427—731no—
1005C2×#107—731no—
1006C2×#106—731no—
1007#423—731no—
1008C2×C4⋊C8—731no—
1009#418—731no—
1010#418—731no—
1011#417—731no—
1012#417—731no—
1013#416—731no—
1014#416—731no—
1015C2×#102—731no—
1016C2×#102—731no—
1017#408—731no—
1018#408—731no—
1019#405—731no—
1020#405—731no—
1021C2×#41—731no—
1022C2×#41—731no—
1023C2×#41—1461no—
1024C2×#41—1461no—
1025C22×D4—731no—
1026C23×C4—1461no—
1027C2×M16—731no—
1028C2×M16—731no—
1029C22×C8—731no—
1030C22×C8—731no—
1031C4⋊Q8—731no—
1032C4⋊Q8—731no—
1033C4⋊Q8—731no—
1034C4⋊Q8—731no—
1035C4⋊Q8—731no—
1036C4⋊Q8—731no—
1037C4⋊Q8—1461no—
1038C4⋊Q8—1461no—
1039C4⋊Q8—1461no—
1040C4⋊Q8—1461no—
1041C4⋊Q8—1461no—
1042C4⋊Q8—1461no—
1043C4⋊Q8—1461no—
1044C4⋊Q8C22×D7311yescharacteristic
1045C4⋊Q8C22×D7311yescharacteristic
1046#127—731no—
1047#127—731no—
1048#127—1461no—
1049#126—21no—
1050#126—1461no—
1051#126—1461no—
1052#126—1461no—
1053#125—731no—
1054#125—731no—
1055#125—731no—
1056#125—731no—
1057#125—731no—
1058#125—731no—
1059#125—731no—
1060#125—731no—
1061#125—731no—
1062#125—1461no—
1063#125—1461no—
1064#125—1461no—
1065#125—1461no—
1066#125—1461no—
1067#125—1461no—
1068#125—1461no—
1069#125—1461no—
1070#125—1461no—
1071#125—1461no—
1072#125—1461no—
1073#125—1461no—
1074#125—1461no—
1075#125C22×D7311yescharacteristic
1076#125C22×D7311yescharacteristic
1077#125C22×D7311yescharacteristic
1078#124—731no—
1079#124—1461no—
1080#124—1461no—
1081#124—1461no—
1082#124—1461no—
1083#124—1461no—
1084#124C22×D7311yescharacteristic
1085#123—21no—
1086#123—1461no—
1087#123—1461no—
1088#123—1461no—
1089#123—1461no—
1090#123—1461no—
1091#123—1461no—
1092#123—1461no—
1093C22⋊Q8—21no—
1094C22⋊Q8—21no—
1095C22⋊Q8—731no—
1096C22⋊Q8—1461no—
1097C22⋊Q8—1461no—
1098C22⋊Q8—1461no—
1099C22⋊Q8—1461no—
1100C22⋊Q8—1461no—
1101C22⋊Q8—1461no—
1102C22⋊Q8—1461no—
1103C22⋊Q8—1461no—
1104C22⋊Q8—1461no—
1105C22⋊Q8—1461no—
1106C22⋊Q8—1461no—
1107C22⋊Q8—1461no—
1108C22⋊Q8—1461no—
1109C22⋊Q8—1461no—
1110C22⋊Q8—1461no—
1111C22⋊Q8—1461no—
1112C22⋊Q8—1461no—
1113C22⋊Q8—1461no—
1114C22⋊Q8—1461no—
1115C22⋊Q8—1461no—
1116C22⋊Q8—1461no—
1117C22⋊Q8C22×D7311yescharacteristic
1118#121—731no—
1119#121—731no—
1120#121—731no—
1121#121—731no—
1122#121—731no—
1123#121—1461no—
1124#121—1461no—
1125#121—1461no—
1126#121—1461no—
1127#121—1461no—
1128#121—1461no—
1129#121—1461no—
1130#121—1461no—
1131#121—1461no—
1132#121—1461no—
1133#121—1461no—
1134#121C22×D7311yescharacteristic
1135#120—1461no—
1136#120—1461no—
1137#120—1461no—
1138#120—1461no—
1139C4×Q8—21no—
1140C4×Q8—21no—
1141C4×Q8—731no—
1142C4×Q8—731no—
1143C4×Q8—731no—
1144C4×Q8—1461no—
1145C4×Q8—1461no—
1146C4×Q8—1461no—
1147C4×Q8—1461no—
1148C4×Q8—1461no—
1149C4×Q8—1461no—
1150C4×Q8C22×D7311yescharacteristic
1151C4×D4—21no—
1152C4×D4—731no—
1153C4×D4—731no—
1154C4×D4—731no—
1155C4×D4—731no—
1156C4×D4—731no—
1157C4×D4—731no—
1158C4×D4—731no—
1159C4×D4—731no—
1160C4×D4—731no—
1161C4×D4—731no—
1162C4×D4—731no—
1163C4×D4—1461no—
1164C4×D4—1461no—
1165C4×D4—1461no—
1166C4×D4—1461no—
1167C4×D4—1461no—
1168C4×D4—1461no—
1169C4×D4—1461no—
1170C4×D4—1461no—
1171C4×D4—1461no—
1172C4×D4—1461no—
1173C4×D4—1461no—
1174C4×D4—1461no—
1175C4×D4—1461no—
1176C4×D4C22×D7311yescharacteristic
1177#117—21no—
1178#117—731no—
1179#117—731no—
1180#117—731no—
1181#117—731no—
1182#117—731no—
1183#117—731no—
1184#117—731no—
1185#117—731no—
1186#117—1461no—
1187#117—1461no—
1188#117C22×D7311yescharacteristic
1189#117C22×D7311yescharacteristic
1190C2×C4⋊C4—731no—
1191C2×C4⋊C4—731no—
1192C2×C4⋊C4—731no—
1193C2×C4⋊C4—731no—
1194C2×C4⋊C4—731no—
1195C2×C4⋊C4—731no—
1196C2×C4⋊C4—731no—
1197C2×C4⋊C4—1461no—
1198C2×C4⋊C4—1461no—
1199C2×C4⋊C4—1461no—
1200C2×C4⋊C4—1461no—
1201C2×C4⋊C4—1461no—
1202C2×C4⋊C4—1461no—
1203C2×C22⋊C4—1461no—
1204C2×C42—731no—
1205C2×C42—731no—
1206C2×C42—1461no—
1207C2×C42C22×D7311yescharacteristic
1208#107—731no—
1209#107—731no—
1210#107—731no—
1211#107—731no—
1212#107—731no—
1213#107—731no—
1214#107—731no—
1215#107—731no—
1216#107—731no—
1217#107—731no—
1218#107—731no—
1219#107—731no—
1220#107C22×D7311yescharacteristic
1221#107C22×D7311yescharacteristic
1222#107C22×D7311yescharacteristic
1223#107C22×D7311yescharacteristic
1224#106—731no—
1225#106—731no—
1226#106—731no—
1227#106—731no—
1228#106—731no—
1229#106—731no—
1230#106—731no—
1231#106—731no—
1232#106—731no—
1233#106—731no—
1234#106—731no—
1235#106—731no—
1236#106C22×D7311yescharacteristic
1237#106C22×D7311yescharacteristic
1238#106C22×D7311yescharacteristic
1239#106C22×D7311yescharacteristic
1240C4⋊C8—731no—
1241C4⋊C8—731no—
1242C4⋊C8—731no—
1243C4⋊C8—731no—
1244C4⋊C8—731no—
1245C4⋊C8—731no—
1246C4⋊C8C22×D7311yescharacteristic
1247C4⋊C8C22×D7311yescharacteristic
1248#103—731no—
1249#103—731no—
1250#103—731no—
1251#103—731no—
1252#103C22×D7311yescharacteristic
1253#103C22×D7311yescharacteristic
1254#103C22×D7311yescharacteristic
1255#103C22×D7311yescharacteristic
1256#102—731no—
1257#102—731no—
1258#102—731no—
1259#102—731no—
1260#102—731no—
1261#102—731no—
1262#102—731no—
1263#102—731no—
1264#102—731no—
1265#102—731no—
1266#102—731no—
1267#102—731no—
1268#102—731no—
1269#102—731no—
1270#102—731no—
1271#102—731no—
1272#102—731no—
1273#102—731no—
1274#102—731no—
1275#102—731no—
1276#102C22×D7311yescharacteristic
1277#102C22×D7311yescharacteristic
1278#102C22×D7311yescharacteristic
1279#102C22×D7311yescharacteristic
1280C22⋊C8—731no—
1281C22⋊C8—731no—
1282C22⋊C8—731no—
1283C22⋊C8—731no—
1284C22⋊C8—731no—
1285C22⋊C8—731no—
1286C22⋊C8C22×D7311yescharacteristic
1287C22⋊C8C22×D7311yescharacteristic
1288#97—731no—
1289#97—731no—
1290#97C22×D7311yescharacteristic
1291#97C22×D7311yescharacteristic
1292C4×C8—731no—
1293C4×C8—731no—
1294C4×C8—731no—
1295C4×C8—731no—
1296C24—1461no—
1297#41—5842no—
1298#41—5842no—
1299#41—1462no—
1300#41—1462no—
1301#41—1462no—
1302#41—1462no—
1303C2×Q8—21no—
1304C2×Q8—21no—
1305C2×Q8—731no—
1306C2×Q8—1461no—
1307C2×Q8—1461no—
1308C2×Q8—1461no—
1309C2×Q8—1461no—
1310C2×Q8—1461no—
1311C2×Q8—1461no—
1312C2×Q8C23×D7311yescharacteristic
1313C2×D4—21no—
1314C2×D4—731no—
1315C2×D4—731no—
1316C2×D4—731no—
1317C2×D4—731no—
1318C2×D4—731no—
1319C2×D4—1461no—
1320C2×D4—1461no—
1321C2×D4—1461no—
1322C2×D4—1462no—
1323C2×D4—1462no—
1324C2×D4—1461no—
1325C2×D4—1461no—
1326C2×D4—1461no—
1327C2×D4—1461no—
1328C2×D4—1461no—
1329C2×D4—1461no—
1330C2×D4—1461no—
1331C2×D4—1461no—
1332C2×D4C23×D7311yescharacteristic
1333C22×C4—21no—
1334C22×C4—5842no—
1335C22×C4—731no—
1336C22×C4—731no—
1337C22×C4—731no—
1338C22×C4—731no—
1339C22×C4—731no—
1340C22×C4—731no—
1341C22×C4—1461no—
1342C22×C4—1461no—
1343C22×C4—1461no—
1344C22×C4—1461no—
1345C22×C4—1461no—
1346C22×C4—1461no—
1347C22×C4—1461no—
1348C22×C4—1461no—
1349C22×C4—1461no—
1350C22×C4—1461no—
1351C22×C4—1461no—
1352C22×C4—1461no—
1353C22×C4—1461no—
1354C22×C4D4×D7311yescharacteristic
1355C22×C4D4×D7311yescharacteristic
1356C22×C4C23×D7311yescharacteristic
1357M16—1462no—
1358M16—1462no—
1359C2×C8—731no—
1360C2×C8—731no—
1361C2×C8—731no—
1362C2×C8—731no—
1363C2×C8—1462no—
1364C2×C8—1462no—
1365C2×C8C23×D7311yescharacteristic
1366C2×C8C23×D7311yescharacteristic
1367C2×C8C23×D7311yescharacteristic
1368C2×C8C23×D7311yescharacteristic
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—731no—
1380C4⋊C4—731no—
1381C4⋊C4—731no—
1382C4⋊C4—731no—
1383C4⋊C4—731no—
1384C4⋊C4—731no—
1385C4⋊C4—731no—
1386C4⋊C4—731no—
1387C4⋊C4—731no—
1388C4⋊C4—731no—
1389C4⋊C4—731no—
1390C4⋊C4—731no—
1391C4⋊C4—1461no—
1392C4⋊C4—1461no—
1393C4⋊C4—1461no—
1394C4⋊C4—1461no—
1395C4⋊C4—1461no—
1396C4⋊C4—1461no—
1397C4⋊C4—1461no—
1398C4⋊C4—1461no—
1399C4⋊C4—1461no—
1400C4⋊C4—1461no—
1401C4⋊C4—1461no—
1402C4⋊C4—1461no—
1403C4⋊C4—1461no—
1404C4⋊C4—1461no—
1405C4⋊C4—1461no—
1406C4⋊C4—1461no—
1407C4⋊C4—1461no—
1408C4⋊C4—1461no—
1409C4⋊C4—1461no—
1410C4⋊C4—1461no—
1411C4⋊C4—1461no—
1412C4⋊C4—1461no—
1413C4⋊C4—1461no—
1414C4⋊C4—1461no—
1415C4⋊C4—1461no—
1416C4⋊C4—1461no—
1417C4⋊C4—1461no—
1418C4⋊C4—1461no—
1419C4⋊C4—1461no—
1420C4⋊C4—1461no—
1421C4⋊C4—1461no—
1422C4⋊C4—1461no—
1423C4⋊C4—1461no—
1424C4⋊C4C23×D7311yescharacteristic
1425C4⋊C4C23×D7311yescharacteristic
1426C4⋊C4C23×D7311yescharacteristic
1427C4⋊C4C23×D7311yescharacteristic
1428C4⋊C4C23×D7311yescharacteristic
1429C4⋊C4C23×D7311yescharacteristic
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—21no—
1435C22⋊C4—21no—
1436C22⋊C4—21no—
1437C22⋊C4—731no—
1438C22⋊C4—731no—
1439C22⋊C4—731no—
1440C22⋊C4—731no—
1441C22⋊C4—731no—
1442C22⋊C4—731no—
1443C22⋊C4—1461no—
1444C22⋊C4—1461no—
1445C22⋊C4—1461no—
1446C22⋊C4—1461no—
1447C22⋊C4—1461no—
1448C22⋊C4—1461no—
1449C22⋊C4—1461no—
1450C22⋊C4—1461no—
1451C22⋊C4—1461no—
1452C22⋊C4—1461no—
1453C22⋊C4—1461no—
1454C22⋊C4—1461no—
1455C22⋊C4—1461no—
1456C22⋊C4—1461no—
1457C22⋊C4—1461no—
1458C22⋊C4—1461no—
1459C22⋊C4—1461no—
1460C22⋊C4—1461no—
1461C42—21no—
1462C42—21no—
1463C42—21no—
1464C42—731no—
1465C42—731no—
1466C42—731no—
1467C42—731no—
1468C42—731no—
1469C42—731no—
1470C42—1461no—
1471C42—1461no—
1472C42—1461no—
1473C42—1461no—
1474C42—1461no—
1475C42—1461no—
1476C42D4×D7311yescharacteristic
1477C42D4×D7311yescharacteristic
1478C42C23×D7311yescharacteristic
1479C42C23×D7311yescharacteristic
1480C23—21no—
1481C23—2922no—
1482C23—5841no—
1483C23—5841no—
1484C23—731no—
1485C23—731no—
1486C23—1461no—
1487C23—1461no—
1488C23C2×D4×D7311yescharacteristic
1489Q8—21no—
1490Q8—21no—
1491Q8—81no—
1492Q8—81no—
1493Q8—5841no—
1494Q8—5841no—
1495Q8—5841no—
1496Q8—5841no—
1497Q8—5841no—
1498Q8—5841no—
1499Q8—1462no—
1500D4—21no—
1501D4—21no—
1502D4—81no—
1503D4—2922no—
1504D4—2922no—
1505D4—5841no—
1506D4—5841no—
1507D4—5841no—
1508D4—5841no—
1509D4—5841no—
1510D4—5841no—
1511D4—5841no—
1512D4—5841no—
1513D4—5841no—
1514D4—1462no—
1515D4—1462no—
1516D4—1462no—
1517D4—1461no—
1518D4—1461no—
1519D4—1461no—
1520D4—1461no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—41no—
1531C2×C4—41no—
1532C2×C4—42no—
1533C2×C4—2922no—
1534C2×C4—2922no—
1535C2×C4—2921no—
1536C2×C4—2921no—
1537C2×C4—2921no—
1538C2×C4—2921no—
1539C2×C4—2922no—
1540C2×C4—5841no—
1541C2×C4—5841no—
1542C2×C4—5841no—
1543C2×C4—5841no—
1544C2×C4—5841no—
1545C2×C4—5841no—
1546C2×C4—5841no—
1547C2×C4—5841no—
1548C2×C4—5841no—
1549C2×C4—5841no—
1550C2×C4—731no—
1551C2×C4—732no—
1552C2×C4—732no—
1553C2×C4—731no—
1554C2×C4—731no—
1555C2×C4—731no—
1556C2×C4—731no—
1557C2×C4—731no—
1558C2×C4—1461no—
1559C2×C4—1461no—
1560C2×C4—1461no—
1561C2×C4—1461no—
1562C2×C4—1461no—
1563C2×C4—1461no—
1564C2×C4—1461no—
1565C2×C4—1461no—
1566C2×C4C2×D4×D7311yescharacteristic
1567C2×C4C2×D4×D7311yescharacteristic
1568C2×C4C2×D4×D7311yescharacteristic
1569C2×C4C2×D4×D7311yescharacteristic
1570C2×C4C2×D4×D7311yescharacteristic
1571C2×C4C24×D7311yescharacteristic
1572C8—21no—
1573C8—21no—
1574C8—21no—
1575C8—21no—
1576C8—1461no—
1577C8—1461no—
1578C8—1461no—
1579C8—1461no—
1580C22—21no—
1581C22—21no—
1582C22—21no—
1583C22—41no—
1584C22—41no—
1585C22—41no—
1586C22—2921no—
1587C22—2921no—
1588C22—2921no—
1589C22—2921no—
1590C22—2921no—
1591C22—2921no—
1592C22—5844no—
1593C22—732no—
1594C22—1461no—
1595C22—1461no—
1596C22—1461no—
1597C22—1461no—
1598C22—1461no—
1599C22C22×D4×D7311yescharacteristic
1600C4—21no—
1601C4—21no—
1602C4—21no—
1603C4—21no—
1604C4—21no—
1605C4—41no—
1606C4—41no—
1607C4—41no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—2921no—
1613C4—2921no—
1614C4—2921no—
1615C4—2921no—
1616C4—2921no—
1617C4—2921no—
1618C4—732no—
1619C4—1461no—
1620C4—1461no—
1621C4—1461no—
1622C4—1461no—
1623C4—1461no—
1624C42−1+4×D7311yescharacteristic
1625C42−1+4×D7311yescharacteristic
1626C2—41no—
1627C2—81no—
1628C2—2921no—
1629C2—5841no—
1630C2—5841no—
1631C2—1462no—
1632C2#536×D7311yescharacteristic
1633C2#2262470411yescharacteristic
1634C2#2262470811yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3240C2
socleC22×C73C23×D4
prime radical#22623352C2
hypercenter#3240D73
hypocenterC73#60890
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3240

Complements

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

NH ≅ G/Ntype
1. #22623752C2semidirect
3. #22621235C2semidirect
4. #22621224C2semidirect
5. #22621220C2semidirect
6. #22621209C2semidirect
7. #22621190C2semidirect
8. #22621185C2semidirect
9. #22621185C2semidirect
10. #22621182C2semidirect
11. #22621176C2semidirect
12. #22621123C2semidirect
13. #22621119C2semidirect
14. #22621103C2semidirect
15. #22621095C2semidirect
16. #22621067C2semidirect
17. #22621066C2semidirect
18. #22620466C2semidirect
19. #22620458C2semidirect
20. #22620282C2semidirect
21. #22620282C2semidirect
22. #22619917C2semidirect
23. #22619912C2semidirect
24. #22619886C2semidirect
25. #22619884C2semidirect
26. #22619750C2semidirect
27. #22619726C2semidirect
28. #22619718C2semidirect
29. #478×D73C2semidirect
30. #22618598C2semidirect
31. C73×#3240C2semidirect
41. #17989215C22semidirect
42. #17989215C22semidirect
45. #17989214C22semidirect
46. #17989214C22semidirect
59. #17989143C22semidirect
65. C2×#14556583C22semidirect
67. #125×D73C22semidirect
75. #17988996C22semidirect
76. #17988996C22semidirect
77. #17988995C22semidirect
78. #17988995C22semidirect
79. #17988994C22semidirect
80. #17988994C22semidirect
81. #17988991C22semidirect
82. #17988990C22semidirect
83. #17988988C22semidirect
84. #17988987C22semidirect
85. #17988986C22semidirect
86. #17988986C22semidirect
87. #17988984C22semidirect
88. #17988983C22semidirect
103. #17988927C22semidirect
104. #17988926C22semidirect
105. #17988921C22semidirect
106. #17988920C22semidirect
107. #17988916C22semidirect
108. #17988915C22semidirect
110. #17988914C22semidirect
112. #17988913C22semidirect
115. #17988911C22semidirect
116. #17988911C22semidirect
120. #17988907C22semidirect
122. #17988906C22semidirect
126. #17988902C22semidirect
128. #17988901C22semidirect
131. #17988896C22semidirect
132. #17988894C22semidirect
133. #17988894C22semidirect
134. #17988892C22semidirect
136. #17988890C22semidirect
140. #17988888C22semidirect
141. #17988888C22semidirect
145. #17988886C22semidirect
149. #17988884C22semidirect
150. #17988884C22semidirect
151. #17988880C22semidirect
153. #17988876C22semidirect
155. #17988870C22semidirect
157. #17988866C22semidirect
159. #17988649C22semidirect
160. #17988649C22semidirect
161. #17988645C22semidirect
162. #17988645C22semidirect
163. #17988643C22semidirect
164. #17988640C22semidirect
165. #17988639C22semidirect
188. #533×C73C22semidirect
190. #501×C73C22semidirect
191. #501×C73C22semidirect
194. #485×C73C22semidirect
195. #485×C73C22semidirect
198. #479×C73C22semidirect
199. #479×C73C22semidirect
202. #432×C73C22semidirect
829. #3240D73semidirect
849. C73#60890semidirect
878. #533C2×D73semidirect
901. #501C2×D73semidirect
902. #501C2×D73semidirect
929. #485C2×D73semidirect
930. #485C2×D73semidirect
963. #479C2×D73semidirect
964. #479C2×D73semidirect
996. #432C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237522
#226233522
#226212352
#226212242
#226212202
#226212092
#226211902
#226211852
#226211822
#226211762
#226211232
#226211192
#226211032
#226210952
#226210672
#226210662
#226204662
#226204582
#226202822
#226199172
#226199122
#226198862
#226198842
#226197502
#226197262
#226197182
#478×D732
#226185982
C73×#32402
#6089073