Finite Group Databasebeta

← #33972533

Subgroups — #33972533

Order 18688.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624214C211yesmaximal, characteristic, complemented
2#22623597C211yesmaximal, characteristic, complemented
3#22622262C211yesmaximal, characteristic, complemented
4#22622199C211yesmaximal, characteristic, complemented
5#22622157C211yesmaximal, characteristic, complemented
6#22622139C211yesmaximal, characteristic, complemented
7#22622018C211yesmaximal, characteristic, complemented
8#22621990C211yesmaximal, characteristic, complemented
9#22621954C211yesmaximal, characteristic, complemented
10#22621942C211yesmaximal, characteristic, complemented
11#22621592C211yesmaximal, characteristic, complemented
12#22621582C211yesmaximal, characteristic, complemented
13#22621555C211yesmaximal, characteristic, complemented
14#22621531C211yesmaximal, characteristic, complemented
15#22621516C211yesmaximal, characteristic, complemented
16#22621440C211yesmaximal, characteristic, complemented
17#22621429C211yesmaximal, characteristic, complemented
18#22621024C211yesmaximal, characteristic, complemented
19#22620998C211yesmaximal, characteristic, complemented
20#22620832C211yesmaximal, characteristic, complemented
21#22620816C211yesmaximal, characteristic, complemented
22#22620743C211yesmaximal, characteristic, complemented
23#22620732C211yesmaximal, characteristic, complemented
24#22620191C211yesmaximal, characteristic, complemented
25#22620144C211yesmaximal, characteristic, complemented
26#22619231C211yesmaximal, characteristic, complemented
27#22619205C211yesmaximal, characteristic, complemented
28#22619190C211yesmaximal, characteristic, complemented
29#22619172C211yesmaximal, characteristic, complemented
30#22618990C211yesmaximal, characteristic, complemented
31C73×#3269C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic
33C22×#11924029C2211yescharacteristic
34C2×#14556623C2211yescharacteristic, complemented
35C2×#14556623C2211yescharacteristic, complemented
36C2×#14556623C2211yescharacteristic, complemented
37C2×#14556616C2211yescharacteristic, complemented
38C2×#14556616C2211yescharacteristic, complemented
39C2×SD16×D73C2211yescharacteristic, complemented
40#17989340—21no—
41#17989332—21no—
42#17989308C2211yescharacteristic, complemented
43#17989295C2211yescharacteristic, complemented
44#17989292—21no—
45#17989287C2211yescharacteristic, complemented
46#17989282—21no—
47#17989277C2211yescharacteristic, complemented
48#17989259C2211yescharacteristic
49#17989256C2211yescharacteristic
50#17989252C2211yescharacteristic, complemented
51#17989248C2211yescharacteristic
52#17989244C2211yescharacteristic, complemented
53#17989244C2211yescharacteristic, complemented
54#17989230—21no—
55#17989230C2211yescharacteristic
56#17989228—21no—
57#17989228C2211yescharacteristic
58D4×D292—21no—
59D4×D292C2211yescharacteristic
60#17989221—21no—
61#17989221C2211yescharacteristic
62#17989205—21no—
63#17989202C2211yescharacteristic, complemented
64#17989198C2211yescharacteristic, complemented
65#17989184—21no—
66#17989173—21no—
67#17989169—21no—
68#17989167—21no—
69#17989167C2211yescharacteristic
70#17989165C2211yescharacteristic, complemented
71#17989160C2211yescharacteristic, complemented
72#17989155—21no—
73#17989155C2211yescharacteristic
74#17989096—21no—
75#17989096C2211yescharacteristic
76#17989094C2211yescharacteristic, complemented
77C22⋊Q8×D73C2211yescharacteristic, complemented
78#121×D73—21no—
79#121×D73C2211yescharacteristic
80#17989069C2211yescharacteristic
81#17988975C2211yescharacteristic, complemented
82#17988968C2211yescharacteristic, complemented
83#17988961C2211yescharacteristic, complemented
84#17988952C2211yescharacteristic, complemented
85#17988948C2211yescharacteristic, complemented
86#17988941C2211yescharacteristic, complemented
87#17988932C2211yescharacteristic, complemented
88#17988926C2211yescharacteristic, complemented
89#17988924C2211yescharacteristic, complemented
90#17988921C2211yescharacteristic, complemented
91#17988920C2211yescharacteristic, complemented
92#17988916C2211yescharacteristic, complemented
93#17988914C2211yescharacteristic, complemented
94#17988912C2211yescharacteristic, complemented
95#17988908C2211yescharacteristic, complemented
96#17988902C2211yescharacteristic, complemented
97#17988901C2211yescharacteristic, complemented
98#17988899C2211yescharacteristic, complemented
99#17988899C2211yescharacteristic, complemented
100#17988894C2211yescharacteristic, complemented
101#17988888C2211yescharacteristic, complemented
102#17988880C2211yescharacteristic, complemented
103#17988866C2211yescharacteristic, complemented
104#17988843C2211yescharacteristic, complemented
105#17988839C2211yescharacteristic, complemented
106#17988837C2211yescharacteristic, complemented
107#17988836C2211yescharacteristic, complemented
108#17988836C2211yescharacteristic, complemented
109#17988835C2211yescharacteristic, complemented
110#17988835C2211yescharacteristic, complemented
111#17988833C2211yescharacteristic, complemented
112#17988831C2211yescharacteristic, complemented
113#17988830C2211yescharacteristic, complemented
114#17988830C2211yescharacteristic, complemented
115#17988825C2211yescharacteristic, complemented
116#17988822C2211yescharacteristic, complemented
117#17988816C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic, complemented
119#17988811C2211yescharacteristic, complemented
120#17988807C2211yescharacteristic, complemented
121#17988806C2211yescharacteristic, complemented
122#17988801C2211yescharacteristic, complemented
123#17988789C2211yescharacteristic, complemented
124#17988788C2211yescharacteristic, complemented
125#17988785C2211yescharacteristic, complemented
126#17988785C2211yescharacteristic, complemented
127#17988782C2211yescharacteristic, complemented
128#17988752C2211yescharacteristic
129#17988752C2211yescharacteristic, complemented
130#17988749C2211yescharacteristic, complemented
131#17988748C2211yescharacteristic
132#17988748C2211yescharacteristic
133#17988748C2211yescharacteristic, complemented
134#17988748C2211yescharacteristic, complemented
135#17988748C2211yescharacteristic, complemented
136#17988748C2211yescharacteristic, complemented
137#17988748C2211yescharacteristic, complemented
138#17988743C2211yescharacteristic, complemented
139#17988741C2211yescharacteristic, complemented
140#17988740C2211yescharacteristic, complemented
141#17988740C2211yescharacteristic, complemented
142#17988739C2211yescharacteristic, complemented
143#17988737C2211yescharacteristic, complemented
144#17988737C2211yescharacteristic, complemented
145#17988736C2211yescharacteristic, complemented
146#17988736C2211yescharacteristic, complemented
147#17988736C2211yescharacteristic, complemented
148#17988732C2211yescharacteristic, complemented
149#17988732C2211yescharacteristic, complemented
150#17988731C2211yescharacteristic
151#17988731C2211yescharacteristic, complemented
152#17988731C2211yescharacteristic, complemented
153#17988731C2211yescharacteristic, complemented
154#17988731C2211yescharacteristic, complemented
155#17988727C2211yescharacteristic, complemented
156#17988727C2211yescharacteristic, complemented
157#17988724C2211yescharacteristic, complemented
158#17988719C2211yescharacteristic, complemented
159#17988719C2211yescharacteristic, complemented
160#17988694C2211yescharacteristic, complemented
161#17988690C2211yescharacteristic, complemented
162#17988689C2211yescharacteristic, complemented
163Q16×Dic73C2211yescharacteristic, complemented
164C4×#11924018C2211yescharacteristic, complemented
165#17988672C2211yescharacteristic, complemented
166C4×#11924013C2211yescharacteristic, complemented
167#17988665C2211yescharacteristic, complemented
168#17988664C2211yescharacteristic, complemented
169#17988663C2211yescharacteristic, complemented
170#17988662C2211yescharacteristic, complemented
171#17988661C2211yescharacteristic, complemented
172#17988660C2211yescharacteristic, complemented
173#17988658C2211yescharacteristic, complemented
174#17988649C2211yescharacteristic, complemented
175#17988647C2211yescharacteristic, complemented
176#17988596C2211yescharacteristic, complemented
177#17988593C2211yescharacteristic, complemented
178#17988590C2211yescharacteristic, complemented
179#17988588C2211yescharacteristic, complemented
180#17988587C2211yescharacteristic, complemented
181#17988587C2211yescharacteristic, complemented
182#17988582C2211yescharacteristic, complemented
183C2×#14556513C2211yescharacteristic, complemented
184#17988553C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988550C2211yescharacteristic, complemented
187#17988549C2211yescharacteristic, complemented
188C2×#137×C73C2211yescharacteristic, complemented
189C2×#135×C73C2211yescharacteristic, complemented
190#548×C73C2211yescharacteristic
191#547×C73C2211yescharacteristic, complemented
192#497×C73C2211yescharacteristic, complemented
193#468×C73C2211yescharacteristic, complemented
194#467×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#462×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#451×C73C2211yescharacteristic, complemented
200#449×C73C2211yescharacteristic, complemented
201#440×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic, complemented
203#14556637—42no—
204#14556637—42no—
205C2×#11924029—21no—
206C2×#11924029—21no—
207C2×#11924029—42no—
208C2×#11924029—42no—
209C2×#11924029C2311yescharacteristic
210C2×#11924029C2311yescharacteristic
211C2×#11924029C2311yescharacteristic
212C2×#11924029C2311yescharacteristic
213C2×#11924029C2311yescharacteristic
214C2×#11924028—21no—
215C2×#11924028C2311yescharacteristic
216C2×Q8×D73C2311yescharacteristic
217C2×Q8×D73C2311yescharacteristic
218C22×D292—21no—
219C22×D292—21no—
220C22×D292C2311yescharacteristic
221C22×D292C2311yescharacteristic
222C2×D4×D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73—21no—
226C2×D4×D73—21no—
227C2×D4×D73C2311yescharacteristic
228C2×D4×D73C2311yescharacteristic
229C22×C4×D73—21no—
230C22×C4×D73C2311yescharacteristic
231#14556623—42no—
232#14556623—42no—
233#14556623—42no—
234#14556616—42no—
235#14556616—42no—
236C2×#11924018C2311yescharacteristic
237C2×#11924018C2311yescharacteristic
238C2×#11924017C2311yescharacteristic
239C2×#11924017C2311yescharacteristic
240C2×#11924017C2311yescharacteristic
241C2×#11924016C2311yescharacteristic
242C2×#11924015C2311yescharacteristic
243C2×#11924015C2311yescharacteristic
244C2×#11924015C2311yescharacteristic
245C2×#11924015C2311yescharacteristic
246C2×#11924015C2311yescharacteristic
247C2×#11924015C2311yescharacteristic
248SD16×D73—42no—
249C2×#11924013C2311yescharacteristic
250C2×#11924013C2311yescharacteristic
251C2×#11924013C2311yescharacteristic
252C2×#11924012C2311yescharacteristic
253C2×#11924012C2311yescharacteristic
254C2×#11924011C2311yescharacteristic
255C2×#11924011C2311yescharacteristic
256C2×#11924011C2311yescharacteristic
257C2×C8×D73C2311yescharacteristic
258#14556590—21no—
259#14556590—21no—
260#14556590C2311yescharacteristic
261#14556588—21no—
262#14556588C2311yescharacteristic
263#14556587—21no—
264#14556587C2311yescharacteristic
265#14556586—21no—
266#14556586—21no—
267#14556586—21no—
268#14556584—21no—
269#14556584—21no—
270#14556584—21no—
271#14556584—21no—
272#14556583C2311yescharacteristic
273#14556581—21no—
274#14556581—21no—
275#14556581—21no—
276#14556581—21no—
277#14556580—21no—
278#14556580C2311yescharacteristic
279#14556578—21no—
280#14556578—21no—
281#14556578C2311yescharacteristic
282#14556577—21no—
283#14556577—21no—
284#14556577—21no—
285#14556576—21no—
286#14556576—21no—
287#14556576D411yescharacteristic
288#14556574—21no—
289#14556574—21no—
290#14556573—21no—
291#14556573—21no—
292#14556573D411yescharacteristic
293#14556572—21no—
294#14556572—21no—
295#14556571—21no—
296#14556571C2311yescharacteristic
297#14556570—21no—
298#14556570—21no—
299#14556570—21no—
300#14556570—21no—
301#14556570C2311yescharacteristic
302#14556570C2311yescharacteristic
303#14556569—21no—
304#14556569—21no—
305#14556569—21no—
306#14556569—21no—
307#14556569D411yescharacteristic
308#14556568—21no—
309#14556568—21no—
310#14556568D411yescharacteristic
311#14556567—21no—
312#14556567C2311yescharacteristic
313#14556567C2311yescharacteristic
314#14556567C2311yescharacteristic
315#14556567C2311yescharacteristic
316#14556567C2311yescharacteristic
317#14556566—21no—
318#14556566—21no—
319#14556566—21no—
320#14556566—21no—
321#14556566—21no—
322#14556566C2311yescharacteristic
323#14556566C2311yescharacteristic
324#14556565—21no—
325#14556565—21no—
326#14556565—21no—
327#14556565C2311yescharacteristic
328#14556565C2311yescharacteristic
329#14556564—21no—
330#14556564—21no—
331#14556564—21no—
332#14556564—21no—
333#14556564—21no—
334#14556564—21no—
335#14556564—21no—
336#14556564—21no—
337#14556564D411yescharacteristic
338#14556563—21no—
339#14556563—21no—
340#14556563—21no—
341#14556563D411yescharacteristic
342#14556562—21no—
343#14556562—21no—
344#14556562—21no—
345#14556562C2311yescharacteristic
346#14556562C2311yescharacteristic
347#14556562C2311yescharacteristic
348#14556562C2311yescharacteristic
349#14556561—21no—
350#14556561—21no—
351#14556561—21no—
352#14556561—21no—
353#14556561—21no—
354#14556561—21no—
355#14556561—21no—
356#14556561D411yescharacteristic
357#14556559—21no—
358#14556559—21no—
359#14556559D411yescharacteristic
360Q8×Dic73C2311yescharacteristic
361Q8×Dic73C2311yescharacteristic
362Q8×Dic73C2311yescharacteristic
363C4×Dic146C2311yescharacteristic
364#14556556—21no—
365C4×D292—21no—
366C4×D292—21no—
367C4×D292C2311yescharacteristic
368C4×D292C2311yescharacteristic
369#14556553—21no—
370#14556553—21no—
371#14556553C2311yescharacteristic
372C4×C22⋊D73—21no—
373C4×C22⋊D73—21no—
374C4×C22⋊D73—21no—
375C4×C22⋊D73—21no—
376C4×C22⋊D73—21no—
377C4×C22⋊D73—21no—
378C4×C22⋊D73—21no—
379C4×C22⋊D73C2311yescharacteristic
380C4×C22⋊D73C2311yescharacteristic
381#14556551—21no—
382#14556550C2311yescharacteristic
383#14556549C2311yescharacteristic
384#14556548—21no—
385#14556548C2311yescharacteristic
386#14556547—21no—
387C2×C4⋊Dic73C2311yescharacteristic
388C4⋊C4×D73—21no—
389C4⋊C4×D73—21no—
390C4⋊C4×D73C2311yescharacteristic
391C4⋊C4×D73C2311yescharacteristic
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C22⋊C4×D73—21no—
395C22⋊C4×D73—21no—
396#14556525C2311yescharacteristic
397#14556525C2311yescharacteristic
398#14556524C2311yescharacteristic
399#14556524C2311yescharacteristic
400#14556524C2311yescharacteristic
401#14556523C2311yescharacteristic
402#14556522C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556515C2311yescharacteristic
408#14556515C2311yescharacteristic
409#14556515C2311yescharacteristic
410#14556515C2311yescharacteristic
411#14556515C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556513C2311yescharacteristic
422#14556513C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556512C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556501C2311yescharacteristic
443C4×#10596831C2311yescharacteristic
444C8×Dic73C2311yescharacteristic
445C2×#41×C73C2311yescharacteristic
446C2×#41×C73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C22×Q8×C73C2311yescharacteristic
449#137×C73—42no—
450#135×C73—42no—
451C2×Q16×C73C2311yescharacteristic
452C2×Q16×C73C2311yescharacteristic
453C2×Q16×C73C2311yescharacteristic
454C2×Q16×C73C2311yescharacteristic
455C2×SD16×C73C2311yescharacteristic
456C2×SD16×C73C2311yescharacteristic
457C2×SD16×C73C2311yescharacteristic
458C2×SD16×C73C2311yescharacteristic
459C2×D8×C73C2311yescharacteristic
460C2×M16×C73C2311yescharacteristic
461C22×C8×C73C2311yescharacteristic
462C4⋊Q8×C73C2311yescharacteristic
463#124×C73—21no—
464#124×C73C2311yescharacteristic
465#123×C73—21no—
466#123×C73—21no—
467C22⋊Q8×C73—21no—
468C22⋊Q8×C73C2311yescharacteristic
469C22⋊Q8×C73C2311yescharacteristic
470C22⋊Q8×C73C2311yescharacteristic
471#121×C73—21no—
472#121×C73—21no—
473#121×C73C2311yescharacteristic
474C4×Q8×C73C2311yescharacteristic
475C4×D4×C73—21no—
476C4×D4×C73C2311yescharacteristic
477C4×D4×C73C2311yescharacteristic
478C2×C4⋊C4×C73—21no—
479#107×C73C2311yescharacteristic
480C4⋊C8×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#103×C73C2311yescharacteristic
483#103×C73C2311yescharacteristic
484#103×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486#102×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489#97×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494C23×D73C2×D411yescharacteristic
495#11924029—22no—
496#11924029—22no—
497#11924029—22no—
498#11924029—22no—
499#11924029—22no—
500#11924029—41no—
501#11924029—41no—
502#11924029—41no—
503#11924029—41no—
504#11924029—41no—
505#11924029—44no—
506#11924029—44no—
507#11924028—41no—
508#11924028—41no—
509#11924028—44no—
510C2×Dic146—21no—
511C2×Dic146—21no—
512C2×Dic146—21no—
513C2×Dic146C2×D411yescharacteristic
514C2×Dic146C2411yescharacteristic
515Q8×D73—41no—
516Q8×D73—41no—
517Q8×D73—41no—
518Q8×D73—41no—
519C2×D292—21no—
520C2×D292—22no—
521C2×D292—22no—
522C2×D292—21no—
523C2×D292—21no—
524C2×D292—21no—
525C2×D292—21no—
526C2×D292—21no—
527C2×D292—21no—
528C2×D292—21no—
529C2×D292—21no—
530C2×D292—21no—
531C2×D292—21no—
532C2×D292—41no—
533C2×D292—41no—
534C2×D292—44no—
535C2×D292—44no—
536C2×D292C2×D411yescharacteristic
537C2×D292C2×D411yescharacteristic
538C2×D292C2411yescharacteristic
539C2×D292C2411yescharacteristic
540C2×D292C2411yescharacteristic
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—21no—
550C2×C22⋊D73—21no—
551C2×C22⋊D73C2×D411yescharacteristic
552C2×C22⋊D73C2×D411yescharacteristic
553C2×C22⋊D73C2×D411yescharacteristic
554C2×C22⋊D73C2×D411yescharacteristic
555D4×D73—22no—
556D4×D73—41no—
557D4×D73—41no—
558D4×D73—41no—
559D4×D73—44no—
560D4×D73—44no—
561D4×D73—82no—
562D4×D73—82no—
563D4×D73—82no—
564C22×Dic73—21no—
565C22×Dic73C2×D411yescharacteristic
566C2×C4×D73—21no—
567C2×C4×D73—21no—
568C2×C4×D73—21no—
569C2×C4×D73—21no—
570C2×C4×D73—21no—
571C2×C4×D73—21no—
572C2×C4×D73—21no—
573C2×C4×D73—21no—
574C2×C4×D73—21no—
575C2×C4×D73—21no—
576C2×C4×D73—21no—
577C2×C4×D73—41no—
578C2×C4×D73—41no—
579C2×C4×D73—44no—
580C2×C4×D73C2×D411yescharacteristic
581C2×C4×D73C2×D411yescharacteristic
582C2×C4×D73C2411yescharacteristic
583C2×C4×D73C2411yescharacteristic
584C2×C4×D73C2411yescharacteristic
585#11924018—22no—
586#11924018—41no—
587#11924017—22no—
588#11924017—41no—
589#11924017—41no—
590#11924016—41no—
591#11924015—22no—
592#11924015—22no—
593#11924015—41no—
594#11924015—41no—
595#11924015—41no—
596#11924015—41no—
597#11924013—22no—
598#11924013—41no—
599#11924013—41no—
600#11924012—41no—
601#11924012—41no—
602#11924011—41no—
603#11924011—41no—
604#11924011—41no—
605C2×#10596831C2411yescharacteristic
606C2×#10596831C2411yescharacteristic
607C2×#10596831C2411yescharacteristic
608C2×#10596831C2411yescharacteristic
609C8×D73—41no—
610C4⋊Dic73—21no—
611C4⋊Dic73—21no—
612C4⋊Dic73—21no—
613C4⋊Dic73—21no—
614C4⋊Dic73—21no—
615C4⋊Dic73C2×D411yescharacteristic
616C4⋊Dic73C2411yescharacteristic
617C4⋊Dic73C2411yescharacteristic
618C4⋊Dic73C2411yescharacteristic
619C4⋊Dic73C2411yescharacteristic
620#11924007—21no—
621#11924007—21no—
622#11924007—21no—
623#11924007—21no—
624#11924007—21no—
625#11924007—21no—
626#11924007—21no—
627#11924007—21no—
628#11924007—21no—
629#11924007—21no—
630#11924007—21no—
631#11924007—21no—
632#11924007—21no—
633#11924007C2×D411yescharacteristic
634#11924007C2×D411yescharacteristic
635#11924007C2×D411yescharacteristic
636#11924007C2×D411yescharacteristic
637C22⋊Dic73—21no—
638C22⋊Dic73—21no—
639C22⋊Dic73—21no—
640C22⋊Dic73—21no—
641C22⋊Dic73—21no—
642C22⋊Dic73—21no—
643C22⋊Dic73—21no—
644C22⋊Dic73—21no—
645C22⋊Dic73—21no—
646C22⋊Dic73C2×D411yescharacteristic
647C22⋊Dic73C2×D411yescharacteristic
648#11924005—21no—
649#11924005—21no—
650#11924005—21no—
651#11924005—21no—
652#11924005—21no—
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005C2×D411yescharacteristic
664#11924005C2×D411yescharacteristic
665#11924005C2×D411yescharacteristic
666#11924005C2×D411yescharacteristic
667#11924005C2×D411yescharacteristic
668#11924005C2×D411yescharacteristic
669C4×Dic73—21no—
670C4×Dic73—21no—
671C4×Dic73—21no—
672C4×Dic73—21no—
673C4×Dic73—21no—
674C4×Dic73—21no—
675C4×Dic73C2411yescharacteristic
676#41×C73—22no—
677#41×C73—41no—
678#41×C73—41no—
679#41×C73—41no—
680#41×C73—41no—
681#41×C73—41no—
682C2×Q8×C73—21no—
683C2×Q8×C73—22no—
684C2×Q8×C73—41no—
685C2×Q8×C73C2411yescharacteristic
686C2×Q8×C73C2411yescharacteristic
687C2×Q8×C73C2411yescharacteristic
688C2×Q8×C73C2411yescharacteristic
689C2×D4×C73—21no—
690C2×D4×C73—21no—
691C2×D4×C73—21no—
692C2×D4×C73—21no—
693C2×D4×C73C2×D411yescharacteristic
694C2×D4×C73C2411yescharacteristic
695C2×D4×C73C2411yescharacteristic
696C22×C4×C73—21no—
697C22×C4×C73—21no—
698C22×C4×C73—21no—
699C22×C4×C73—21no—
700C22×C4×C73—21no—
701C22×C4×C73C2411yescharacteristic
702C22×C4×C73C2411yescharacteristic
703Q16×C73—22no—
704Q16×C73—22no—
705Q16×C73—41no—
706Q16×C73—41no—
707SD16×C73—22no—
708SD16×C73—41no—
709SD16×C73—41no—
710SD16×C73—41no—
711D8×C73—41no—
712M16×C73—41no—
713C2×C8×C73—41no—
714C2×C8×C73C2411yescharacteristic
715C2×C8×C73C2411yescharacteristic
716C2×C8×C73C2411yescharacteristic
717C2×C8×C73C2411yescharacteristic
718C4⋊C4×C73—21no—
719C4⋊C4×C73—21no—
720C4⋊C4×C73—21no—
721C4⋊C4×C73—21no—
722C4⋊C4×C73—21no—
723C4⋊C4×C73—21no—
724C4⋊C4×C73C2×D411yescharacteristic
725C4⋊C4×C73C2411yescharacteristic
726C4⋊C4×C73C2411yescharacteristic
727C22⋊C4×C73—21no—
728C22⋊C4×C73—21no—
729C22⋊C4×C73—21no—
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C22⋊C4×C73C2×D411yescharacteristic
735C22⋊C4×C73C2×D411yescharacteristic
736C42×C73—21no—
737C42×C73C2411yescharacteristic
738C23×C73—21no—
739C23×C73—21no—
740C23×C73C22×D411yescharacteristic
741C23×C73C22×D411yescharacteristic
742C22×D73—21no—
743C22×D73—21no—
744C22×D73—21no—
745C22×D73—41no—
746C22×D73—41no—
747C22×D73—41no—
748C22×D73—42no—
749C22×D73—42no—
750C22×D73—42no—
751C22×D73—42no—
752C22×D73—42no—
753C22×D73—81no—
754C22×D73—81no—
755C22×D73—81no—
756C22×D73—81no—
757C22×D73—81no—
758C22×D73—81no—
759C22×D73—81no—
760C22×D73C22×D411yescharacteristic
761C22×D73C22×D411yescharacteristic
762C22×D73C22×D411yescharacteristic
763Q8×C73—21no—
764Q8×C73—21no—
765Q8×C73—21no—
766Q8×C73—21no—
767Q8×C73—21no—
768Q8×C73—21no—
769Q8×C73—21no—
770Q8×C73—42no—
771Q8×C73H(5,𝔽2)12yes—
772D4×C73—21no—
773D4×C73—21no—
774D4×C73—21no—
775D4×C73—21no—
776D4×C73—41no—
777D4×C73—42no—
778D4×C73—42no—
779D4×C73—81no—
780D4×C73—81no—
781C2×C4×C73—21no—
782C2×C4×C73—21no—
783C2×C4×C73—21no—
784C2×C4×C73—21no—
785C2×C4×C73—21no—
786C2×C4×C73—21no—
787C2×C4×C73—21no—
788C2×C4×C73—21no—
789C2×C4×C73—21no—
790C2×C4×C73—21no—
791C2×C4×C73—42no—
792C2×C4×C73—42no—
793C2×C4×C73—81no—
794C2×C4×C73—81no—
795C2×C4×C73—81no—
796C2×C4×C73C22×D411yescharacteristic
797C2×C4×C73C22×D411yescharacteristic
798C2×C4×C73C22×D411yescharacteristic
799C2×C4×C73C22×D411yescharacteristic
800C2×C4×C73C2511yescharacteristic
801C22⋊D73—41no—
802C22⋊D73—41no—
803C22⋊D73—41no—
804C22⋊D73—41no—
805C22⋊D73—42no—
806C22⋊D73—42no—
807C22⋊D73—42no—
808C22⋊D73—42no—
809C22⋊D73—81no—
810C22⋊D73—81no—
811C22⋊D73—81no—
812C22⋊D73—81no—
813C22⋊D73—81no—
814C22⋊D73—81no—
815C2×Dic73—21no—
816C2×Dic73—21no—
817C2×Dic73—21no—
818C2×Dic73—21no—
819C2×Dic73—21no—
820C2×Dic73—41no—
821C2×Dic73—81no—
822C2×Dic73C22×D411yescharacteristic
823C2×Dic73C22×D411yescharacteristic
824C2×Dic73C22×D411yescharacteristic
825C2×Dic73C22×D411yescharacteristic
826C2×Dic73C22×D411yescharacteristic
827D292—24no—
828D292—21no—
829D292—21no—
830D292—21no—
831D292—21no—
832D292—21no—
833D292—41no—
834D292—41no—
835D292—42no—
836D292—42no—
837D292—42no—
838D292—42no—
839D292—42no—
840D292—42no—
841D292—81no—
842D292—81no—
843D292—81no—
844D292—81no—
845D292H(5,𝔽2)12yes—
846C4×D73—24no—
847C4×D73—21no—
848C4×D73—21no—
849C4×D73—21no—
850C4×D73—21no—
851C4×D73—21no—
852C4×D73—21no—
853C4×D73—41no—
854C4×D73—41no—
855C4×D73—42no—
856C4×D73—42no—
857C4×D73—42no—
858C4×D73—42no—
859C4×D73—81no—
860C4×D73—81no—
861C4×D73—81no—
862C4×D73—81no—
863C4×D73—81no—
864C4×D73—81no—
865Dic146—21no—
866Dic146—21no—
867Dic146—41no—
868Dic146—81no—
869Dic146—81no—
870Dic146—81no—
871C8×C73—21no—
872C8×C73—21no—
873C8×C73—21no—
874C8×C73—21no—
875#10596831—21no—
876#10596831—21no—
877#10596831—21no—
878#10596831—21no—
879C22×C73—21no—
880C22×C73—21no—
881C22×C73—21no—
882C22×C73—21no—
883C22×C73—21no—
884C22×C73—21no—
885C22×C73—41no—
886C22×C73—41no—
887C22×C73—41no—
888C22×C73—41no—
889C22×C73—41no—
890C22×C73—41no—
891C22×C73C23×D411yescharacteristic
892C2×D73—21no—
893C2×D73—21no—
894C2×D73—21no—
895C2×D73—21no—
896C2×D73—21no—
897C2×D73—21no—
898C2×D73—21no—
899C2×D73—21no—
900C2×D73—22no—
901C2×D73—21no—
902C2×D73—41no—
903C2×D73—41no—
904C2×D73—41no—
905C2×D73—41no—
906C2×D73—41no—
907C2×D73—41no—
908C2×D73—41no—
909C2×D73—41no—
910C2×D73—82no—
911C2×D73—84no—
912C2×D73—162no—
913C2×D73—162no—
914C2×D73—162no—
915C4×C73—21no—
916C4×C73—21no—
917C4×C73—21no—
918C4×C73—22no—
919C4×C73—21no—
920C4×C73—41no—
921C4×C73—41no—
922C4×C73—41no—
923C4×C73—41no—
924C4×C73—41no—
925C4×C73C2×H(5,𝔽2)11yescharacteristic
926C4×C73C2×H(5,𝔽2)11yescharacteristic
927Dic73—21no—
928Dic73—21no—
929Dic73—21no—
930Dic73—21no—
931Dic73—21no—
932Dic73—41no—
933Dic73—41no—
934Dic73—41no—
935Dic73—41no—
936Dic73—41no—
937#61654—731nomaximal, Sylow
938C2×C73—41no—
939C2×C73—41no—
940C2×C73—81no—
941C2×C73—81no—
942C2×C73#348411yescharacteristic
943C2×C73#358511yescharacteristic
944C2×C73#358611yescharacteristic
945D73—41no—
946D73—41no—
947D73—41no—
948D73—42no—
949D73—81no—
950D73—81no—
951#3541—731no—
952#3488—731no—
953#3333—731no—
954#3327—731no—
955#3324—731no—
956#3322—731no—
957#3314—731no—
958#3313—731no—
959#3310—731no—
960#3309—731no—
961#3278—731no—
962#3277—731no—
963#3275—731no—
964#3272—731no—
965#3271—731no—
966#3269D7311yescharacteristic, complemented
967#3266—731no—
968#3265—731no—
969#3224—731no—
970#3222—731no—
971#3203—731no—
972#3201—731no—
973#3194—731no—
974#3193—731no—
975#3124—731no—
976#3120—731no—
977#3012—731no—
978#3009—731no—
979#3007—731no—
980#3005—731no—
981#2978—731no—
982C73#6165411yescharacteristic, complemented, Sylow
983C2×H(5,𝔽2)—731no—
984C22×#41—731no—
985C2×#137—731no—
986C2×#137—731no—
987C2×#137—731no—
988C2×#137C2×D7311yescharacteristic, complemented
989C2×AGL(1,ℤ/8)—731no—
990C2×AGL(1,ℤ/8)—731no—
991C2×#135C2×D7311yescharacteristic, complemented
992C22×SD16—731no—
993#563—1461no—
994#562—1461no—
995#556—731no—
996#554—731no—
997#554—1461no—
998#553—731no—
999#553—1461no—
1000#552—731no—
1001#550—731no—
1002#550—731no—
1003D4×Q8—731no—
1004#548—731no—
1005#548—731no—
1006#548—731no—
1007#548C2×D7311yescharacteristic
1008#547C2×D7311yescharacteristic, complemented
1009#546—731no—
1010#546—731no—
1011#546—1461no—
1012#546—1461no—
1013D42—731no—
1014D42—731no—
1015D42—1461no—
1016D42—1461no—
1017#542—731no—
1018#542—1461no—
1019#541—731no—
1020#539—1461no—
1021#538—1461no—
1022#538—1461no—
1023#537—731no—
1024#537—731no—
1025#537—1461no—
1026#536—731no—
1027#535—731no—
1028#535—1461no—
1029#525—731no—
1030#525—731no—
1031#525—1461no—
1032C2×C22⋊Q8—731no—
1033C2×#121—731no—
1034C2×#121—1461no—
1035#520—731no—
1036#497C2×D7311yescharacteristic, complemented
1037#496—731no—
1038#495—731no—
1039#492—731no—
1040#490—731no—
1041#489—731no—
1042#488—731no—
1043#486—731no—
1044#485—731no—
1045#484—731no—
1046#484—731no—
1047#484—731no—
1048#483—731no—
1049#482—731no—
1050#482—731no—
1051#482—731no—
1052#480—731no—
1053#480—731no—
1054#480—731no—
1055#480—731no—
1056#479—731no—
1057#478—731no—
1058#477—731no—
1059#474—731no—
1060#470—731no—
1061#469—731no—
1062#469—731no—
1063#468—731no—
1064#468—731no—
1065#468—731no—
1066#468—731no—
1067#468—731no—
1068#468—731no—
1069#468—731no—
1070#468—731no—
1071#468C2×D7311yescharacteristic, complemented
1072#467—731no—
1073#467C2×D7311yescharacteristic, complemented
1074#466—731no—
1075#465—731no—
1076#464—731no—
1077#464—731no—
1078#464—731no—
1079#464—731no—
1080#463—731no—
1081#463C2×D7311yescharacteristic, complemented
1082#462C2×D7311yescharacteristic, complemented
1083#461—731no—
1084#460—731no—
1085#460—731no—
1086#460—731no—
1087#459—731no—
1088#452—731no—
1089#452—731no—
1090#452—731no—
1091#452—731no—
1092#452—731no—
1093#452—731no—
1094#452—731no—
1095#452—731no—
1096#452—731no—
1097#452—731no—
1098#452C2×D7311yescharacteristic, complemented
1099#452C2×D7311yescharacteristic, complemented
1100#451—731no—
1101#451—731no—
1102#451C2×D7311yescharacteristic, complemented
1103#450—731no—
1104#450—731no—
1105#450—731no—
1106#450—731no—
1107#450—731no—
1108#450—731no—
1109#450—731no—
1110#450—731no—
1111#449—731no—
1112#449—731no—
1113#449—731no—
1114#449—731no—
1115#449—731no—
1116#449—731no—
1117#449—731no—
1118#449C2×D7311yescharacteristic, complemented
1119#448—731no—
1120#448—731no—
1121#448—731no—
1122#447—731no—
1123#447—731no—
1124#441—731no—
1125#440—731no—
1126#440—731no—
1127#440C2×D7311yescharacteristic, complemented
1128C4×Q16—731no—
1129C4×Q16—731no—
1130C4×SD16—731no—
1131C4×D8—731no—
1132#436—731no—
1133#436—731no—
1134#436—731no—
1135#436—731no—
1136#435—731no—
1137#435—731no—
1138#435—731no—
1139#435C2×D7311yescharacteristic, complemented
1140#433—731no—
1141#433—731no—
1142#419—731no—
1143#418—731no—
1144#418—731no—
1145#417—731no—
1146#417—731no—
1147#417—731no—
1148#416—731no—
1149C2×#102—731no—
1150#408—731no—
1151#408—731no—
1152#407—731no—
1153#407—731no—
1154H(5,𝔽2)—2922no—
1155H(5,𝔽2)—2922no—
1156C2×#41—2922no—
1157C2×#41—2922no—
1158C2×#41—731no—
1159C2×#41—731no—
1160C2×#41—731no—
1161C2×#41—731no—
1162C2×#41—731no—
1163C2×#41—731no—
1164C2×#41—1461no—
1165C2×#41—1461no—
1166C2×#41—1461no—
1167C2×#41C22×D7311yescharacteristic
1168C2×#41C22×D7311yescharacteristic
1169C2×#41C22×D7311yescharacteristic
1170C22×Q8—731no—
1171C22×Q8—731no—
1172C22×Q8C22×D7311yescharacteristic
1173C22×D4—731no—
1174C22×D4—731no—
1175C22×D4—731no—
1176C22×D4—731no—
1177C22×D4—1461no—
1178C22×D4—1461no—
1179C22×D4—1461no—
1180C22×D4—1461no—
1181C22×D4—1461no—
1182C22×D4—1461no—
1183C22×D4—1461no—
1184C23×C4—731no—
1185C23×C4—1461no—
1186#137—42no—
1187#137—2922no—
1188#137—2922no—
1189#137—2922no—
1190AGL(1,ℤ/8)—2922no—
1191AGL(1,ℤ/8)—2922no—
1192#135—42no—
1193C2×Q16—731no—
1194C2×Q16—731no—
1195C2×Q16C22×D7311yescharacteristic
1196C2×Q16C22×D7311yescharacteristic
1197C2×Q16C22×D7311yescharacteristic
1198C2×Q16C22×D7311yescharacteristic
1199C2×SD16—2922no—
1200C2×SD16—731no—
1201C2×SD16—731no—
1202C2×SD16—731no—
1203C2×SD16—731no—
1204C2×SD16—731no—
1205C2×SD16—731no—
1206C2×SD16—731no—
1207C2×SD16—731no—
1208C2×SD16—731no—
1209C2×SD16—731no—
1210C2×SD16C22×D7311yescharacteristic
1211C2×SD16C22×D7311yescharacteristic
1212C2×SD16C22×D7311yescharacteristic
1213C2×SD16C22×D7311yescharacteristic
1214C2×D8—731no—
1215C2×D8—731no—
1216C2×D8—731no—
1217C2×D8C22×D7311yescharacteristic
1218C2×M16—731no—
1219C2×M16—731no—
1220C2×M16—731no—
1221C2×M16—731no—
1222C2×M16—731no—
1223C2×M16C22×D7311yescharacteristic
1224C22×C8—731no—
1225C22×C8C22×D7311yescharacteristic
1226C4⋊Q8—731no—
1227C4⋊Q8—1461no—
1228C4⋊Q8—1461no—
1229C4⋊Q8C22×D7311yescharacteristic
1230#127—731no—
1231#127—731no—
1232#127—1461no—
1233#127—1461no—
1234#126—1461no—
1235#126—1461no—
1236#126—1461no—
1237#126—1461no—
1238#126—1461no—
1239#126—1461no—
1240#126—1461no—
1241#125—731no—
1242#125—1461no—
1243#125—1461no—
1244#125—1461no—
1245#125—1461no—
1246#124—21no—
1247#124—731no—
1248#124—731no—
1249#124—1461no—
1250#124—1461no—
1251#124—1461no—
1252#124—1461no—
1253#124—1461no—
1254#124—1461no—
1255#124C22×D7311yescharacteristic
1256#123—21no—
1257#123—21no—
1258#123—731no—
1259#123—731no—
1260#123—1461no—
1261#123—1461no—
1262#123—1461no—
1263#123—1461no—
1264#123—1461no—
1265#123—1461no—
1266#123—1461no—
1267#123—1461no—
1268C22⋊Q8—21no—
1269C22⋊Q8—731no—
1270C22⋊Q8—731no—
1271C22⋊Q8—731no—
1272C22⋊Q8—731no—
1273C22⋊Q8—731no—
1274C22⋊Q8—731no—
1275C22⋊Q8—731no—
1276C22⋊Q8—731no—
1277C22⋊Q8—731no—
1278C22⋊Q8—731no—
1279C22⋊Q8—1461no—
1280C22⋊Q8—1461no—
1281C22⋊Q8—1461no—
1282C22⋊Q8—1461no—
1283C22⋊Q8—1461no—
1284C22⋊Q8—1461no—
1285C22⋊Q8—1461no—
1286C22⋊Q8—1461no—
1287C22⋊Q8—1461no—
1288C22⋊Q8—1461no—
1289C22⋊Q8—1461no—
1290C22⋊Q8—1461no—
1291C22⋊Q8C22×D7311yescharacteristic
1292C22⋊Q8C22×D7311yescharacteristic
1293C22⋊Q8C22×D7311yescharacteristic
1294#121—21no—
1295#121—21no—
1296#121—731no—
1297#121—731no—
1298#121—731no—
1299#121—731no—
1300#121—731no—
1301#121—731no—
1302#121—731no—
1303#121—731no—
1304#121—731no—
1305#121—731no—
1306#121—1461no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121—1461no—
1311#121—1461no—
1312#121—1461no—
1313#121—1461no—
1314#121—1461no—
1315#121—1461no—
1316#121—1461no—
1317#121—1461no—
1318#121—1461no—
1319#121—1461no—
1320#121—1461no—
1321#121—1461no—
1322#121—1461no—
1323#121—1461no—
1324#121—1461no—
1325#121—1461no—
1326#121—1461no—
1327#121—1461no—
1328#121C22×D7311yescharacteristic
1329#120—731no—
1330#120—731no—
1331#120—1461no—
1332#120—1461no—
1333#120—1461no—
1334#120—1461no—
1335#120—1461no—
1336#120—1461no—
1337#120—1461no—
1338#120—1461no—
1339#120—1461no—
1340C4×Q8—731no—
1341C4×Q8—731no—
1342C4×Q8—731no—
1343C4×Q8—731no—
1344C4×Q8—1461no—
1345C4×Q8C22×D7311yescharacteristic
1346C4×D4—21no—
1347C4×D4—731no—
1348C4×D4—731no—
1349C4×D4—731no—
1350C4×D4—731no—
1351C4×D4—731no—
1352C4×D4—1461no—
1353C4×D4—1461no—
1354C4×D4—1461no—
1355C4×D4—1461no—
1356C4×D4—1461no—
1357C4×D4—1461no—
1358C4×D4—1461no—
1359C4×D4—1461no—
1360C4×D4—1461no—
1361C4×D4—1461no—
1362C4×D4—1461no—
1363C4×D4—1461no—
1364C4×D4C22×D7311yescharacteristic
1365C4×D4C22×D7311yescharacteristic
1366#117—731no—
1367#117—731no—
1368#117—731no—
1369#117—1461no—
1370#117—1461no—
1371C2×C4⋊C4—21no—
1372C2×C4⋊C4—731no—
1373C2×C4⋊C4—731no—
1374C2×C4⋊C4—731no—
1375C2×C4⋊C4—1461no—
1376C2×C4⋊C4—1461no—
1377C2×C22⋊C4—1461no—
1378C2×C22⋊C4—1461no—
1379C2×C22⋊C4—1461no—
1380C2×C22⋊C4—1461no—
1381#107—731no—
1382#107—731no—
1383#107—731no—
1384#107—731no—
1385#107—731no—
1386#107C22×D7311yescharacteristic
1387#106—731no—
1388#106—731no—
1389C4⋊C8—731no—
1390C4⋊C8—731no—
1391C4⋊C8—731no—
1392C4⋊C8C22×D7311yescharacteristic
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103—731no—
1397#103—731no—
1398#103—731no—
1399#103—731no—
1400#103—731no—
1401#103—731no—
1402#103—731no—
1403#103C22×D7311yescharacteristic
1404#103C22×D7311yescharacteristic
1405#103C22×D7311yescharacteristic
1406#103C22×D7311yescharacteristic
1407#102—731no—
1408#102—731no—
1409#102—731no—
1410#102—731no—
1411#102—731no—
1412#102—731no—
1413#102—731no—
1414#102—731no—
1415#102—731no—
1416#102—731no—
1417#102—731no—
1418#102—731no—
1419#102—731no—
1420#102—731no—
1421#102—731no—
1422#102—731no—
1423#102C22×D7311yescharacteristic
1424#102C22×D7311yescharacteristic
1425C22⋊C8—731no—
1426C22⋊C8—731no—
1427C22⋊C8—731no—
1428C22⋊C8—731no—
1429C22⋊C8—731no—
1430C22⋊C8—731no—
1431C22⋊C8—731no—
1432C22⋊C8—731no—
1433C22⋊C8—731no—
1434C22⋊C8—731no—
1435C22⋊C8C22×D7311yescharacteristic
1436C22⋊C8C22×D7311yescharacteristic
1437#97—731no—
1438#97C22×D7311yescharacteristic
1439C4×C8—731no—
1440C4×C8—731no—
1441C24—731no—
1442C24—1461no—
1443C24—1461no—
1444C24—1461no—
1445C24—1461no—
1446#41—22no—
1447#41—41no—
1448#41—41no—
1449#41—41no—
1450#41—41no—
1451#41—41no—
1452#41—2921no—
1453#41—2921no—
1454#41—2924no—
1455#41—2924no—
1456#41—2924no—
1457#41—2921no—
1458#41—2921no—
1459#41—2921no—
1460#41—2921no—
1461#41—2921no—
1462#41—1462no—
1463#41—1462no—
1464#41—1462no—
1465#41—1462no—
1466#41—1462no—
1467C2×Q8—21no—
1468C2×Q8—22no—
1469C2×Q8—41no—
1470C2×Q8—2921no—
1471C2×Q8—2921no—
1472C2×Q8—2921no—
1473C2×Q8—2921no—
1474C2×Q8—731no—
1475C2×Q8—731no—
1476C2×Q8—1461no—
1477C2×Q8—1461no—
1478C2×Q8—1461no—
1479C2×Q8C23×D7311yescharacteristic
1480C2×Q8C23×D7311yescharacteristic
1481C2×Q8C23×D7311yescharacteristic
1482C2×Q8C23×D7311yescharacteristic
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—2921no—
1488C2×D4—2921no—
1489C2×D4—2924no—
1490C2×D4—2924no—
1491C2×D4—2924no—
1492C2×D4—2921no—
1493C2×D4—2921no—
1494C2×D4—2921no—
1495C2×D4—2924no—
1496C2×D4—5842no—
1497C2×D4—5842no—
1498C2×D4—5842no—
1499C2×D4—731no—
1500C2×D4—731no—
1501C2×D4—731no—
1502C2×D4—731no—
1503C2×D4—731no—
1504C2×D4—731no—
1505C2×D4—731no—
1506C2×D4—731no—
1507C2×D4—731no—
1508C2×D4—1461no—
1509C2×D4—1461no—
1510C2×D4—1461no—
1511C2×D4—1461no—
1512C2×D4—1462no—
1513C2×D4—1462no—
1514C2×D4—1461no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4—1461no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4—1462no—
1522C2×D4—1461no—
1523C2×D4—1461no—
1524C2×D4—1461no—
1525C2×D4—1461no—
1526C2×D4—1461no—
1527C2×D4—1461no—
1528C2×D4—1461no—
1529C2×D4—1461no—
1530C2×D4—1461no—
1531C2×D4—1461no—
1532C2×D4D4×D7311yescharacteristic
1533C2×D4C23×D7311yescharacteristic
1534C2×D4C23×D7311yescharacteristic
1535C22×C4—21no—
1536C22×C4—21no—
1537C22×C4—21no—
1538C22×C4—21no—
1539C22×C4—21no—
1540C22×C4—2921no—
1541C22×C4—2921no—
1542C22×C4—2924no—
1543C22×C4—731no—
1544C22×C4—731no—
1545C22×C4—731no—
1546C22×C4—731no—
1547C22×C4—731no—
1548C22×C4—731no—
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×C4C23×D7311yescharacteristic
1562C22×C4C23×D7311yescharacteristic
1563Q16—22no—
1564Q16—22no—
1565Q16—41no—
1566Q16—41no—
1567Q16—2921no—
1568Q16—1462no—
1569SD16—22no—
1570SD16—41no—
1571SD16—41no—
1572SD16—41no—
1573SD16—2921no—
1574SD16—2921no—
1575SD16—2921no—
1576SD16—2921no—
1577SD16—2921no—
1578SD16—2921no—
1579SD16—2921no—
1580SD16—1462no—
1581SD16—1462no—
1582SD16—1462no—
1583D8—41no—
1584D8—2921no—
1585D8—2921no—
1586D8—1462no—
1587M16—41no—
1588M16—2921no—
1589M16—2921no—
1590M16—2921no—
1591M16—2921no—
1592M16—2921no—
1593C2×C8—41no—
1594C2×C8—2921no—
1595C2×C8—731no—
1596C2×C8—731no—
1597C2×C8—731no—
1598C2×C8—731no—
1599C2×C8C23×D7311yescharacteristic
1600C2×C8C23×D7311yescharacteristic
1601C2×C8C23×D7311yescharacteristic
1602C2×C8C23×D7311yescharacteristic
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—731no—
1610C4⋊C4—731no—
1611C4⋊C4—731no—
1612C4⋊C4—731no—
1613C4⋊C4—731no—
1614C4⋊C4—731no—
1615C4⋊C4—731no—
1616C4⋊C4—731no—
1617C4⋊C4—731no—
1618C4⋊C4—1461no—
1619C4⋊C4—1461no—
1620C4⋊C4—1461no—
1621C4⋊C4—1461no—
1622C4⋊C4—1461no—
1623C4⋊C4—1461no—
1624C4⋊C4—1461no—
1625C4⋊C4—1461no—
1626C4⋊C4—1461no—
1627C4⋊C4—1461no—
1628C4⋊C4—1461no—
1629C4⋊C4—1461no—
1630C4⋊C4—1461no—
1631C4⋊C4—1461no—
1632C4⋊C4—1461no—
1633C4⋊C4—1461no—
1634C4⋊C4—1461no—
1635C4⋊C4—1461no—
1636C4⋊C4D4×D7311yescharacteristic
1637C4⋊C4C23×D7311yescharacteristic
1638C4⋊C4C23×D7311yescharacteristic
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—21no—
1645C22⋊C4—21no—
1646C22⋊C4—731no—
1647C22⋊C4—731no—
1648C22⋊C4—731no—
1649C22⋊C4—731no—
1650C22⋊C4—731no—
1651C22⋊C4—731no—
1652C22⋊C4—731no—
1653C22⋊C4—731no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4—1461no—
1668C22⋊C4—1461no—
1669C22⋊C4—1461no—
1670C22⋊C4—1461no—
1671C22⋊C4—1461no—
1672C22⋊C4—1461no—
1673C22⋊C4—1461no—
1674C22⋊C4—1461no—
1675C22⋊C4—1461no—
1676C22⋊C4—1461no—
1677C22⋊C4—1461no—
1678C22⋊C4D4×D7311yescharacteristic
1679C22⋊C4D4×D7311yescharacteristic
1680C42—21no—
1681C42—731no—
1682C42—1461no—
1683C42—1461no—
1684C42—1461no—
1685C42—1461no—
1686C42—1461no—
1687C42—1461no—
1688C42C23×D7311yescharacteristic
1689C23—21no—
1690C23—21no—
1691C23—2922no—
1692C23—2922no—
1693C23—2922no—
1694C23—2921no—
1695C23—2921no—
1696C23—2921no—
1697C23—2922no—
1698C23—2922no—
1699C23—5841no—
1700C23—5841no—
1701C23—5841no—
1702C23—5841no—
1703C23—5841no—
1704C23—5841no—
1705C23—5841no—
1706C23—731no—
1707C23—731no—
1708C23—731no—
1709C23—1461no—
1710C23—1461no—
1711C23—1461no—
1712C23C2×D4×D7311yescharacteristic
1713C23C2×D4×D7311yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—21no—
1721Q8—42no—
1722Q8—2921no—
1723Q8—5841no—
1724Q8—5841no—
1725Q8—5841no—
1726Q8—1461no—
1727Q8—1461no—
1728Q8#1455663612yes—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—41no—
1734D4—42no—
1735D4—42no—
1736D4—81no—
1737D4—81no—
1738D4—2922no—
1739D4—2922no—
1740D4—2922no—
1741D4—2922no—
1742D4—2921no—
1743D4—2921no—
1744D4—2922no—
1745D4—2922no—
1746D4—2922no—
1747D4—2922no—
1748D4—2921no—
1749D4—2921no—
1750D4—2921no—
1751D4—2921no—
1752D4—2922no—
1753D4—2922no—
1754D4—5841no—
1755D4—5841no—
1756D4—5841no—
1757D4—5841no—
1758D4—5841no—
1759D4—5841no—
1760D4—5841no—
1761D4—5841no—
1762D4—5841no—
1763D4—5841no—
1764D4—732no—
1765D4—1464no—
1766D4—1461no—
1767D4—1461no—
1768D4—1461no—
1769D4—1461no—
1770D4—1461no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—42no—
1782C2×C4—42no—
1783C2×C4—81no—
1784C2×C4—81no—
1785C2×C4—81no—
1786C2×C4—2922no—
1787C2×C4—2922no—
1788C2×C4—2921no—
1789C2×C4—2921no—
1790C2×C4—2922no—
1791C2×C4—2922no—
1792C2×C4—2921no—
1793C2×C4—5841no—
1794C2×C4—5841no—
1795C2×C4—5841no—
1796C2×C4—5841no—
1797C2×C4—5841no—
1798C2×C4—5841no—
1799C2×C4—5841no—
1800C2×C4—731no—
1801C2×C4—731no—
1802C2×C4—731no—
1803C2×C4—731no—
1804C2×C4—731no—
1805C2×C4—1464no—
1806C2×C4—1461no—
1807C2×C4—1461no—
1808C2×C4—1461no—
1809C2×C4—1461no—
1810C2×C4—1461no—
1811C2×C4—1461no—
1812C2×C4—1461no—
1813C2×C4—1461no—
1814C2×C4—1461no—
1815C2×C4—1461no—
1816C2×C4—1461no—
1817C2×C4C2×D4×D7311yescharacteristic
1818C2×C4C2×D4×D7311yescharacteristic
1819C2×C4C2×D4×D7311yescharacteristic
1820C2×C4C2×D4×D7311yescharacteristic
1821C2×C4C24×D7311yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—1461no—
1827C8—1461no—
1828C8—1461no—
1829C8—1461no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—2921no—
1843C22—2921no—
1844C22—2921no—
1845C22—2921no—
1846C22—2921no—
1847C22—2921no—
1848C22—2921no—
1849C22—2921no—
1850C22—5842no—
1851C22—5844no—
1852C22—11682no—
1853C22—11682no—
1854C22—11682no—
1855C22—1461no—
1856C22—1462no—
1857C22—1461no—
1858C22—1461no—
1859C22—1461no—
1860C22—1461no—
1861C22—1461no—
1862C22—1461no—
1863C22—1461no—
1864C22—1461no—
1865C22C22×D4×D7311yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—22no—
1869C4—21no—
1870C4—21no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—2921no—
1877C4—2921no—
1878C4—2921no—
1879C4—2921no—
1880C4—2921no—
1881C4—1461no—
1882C4—1461no—
1883C4—1461no—
1884C4—1461no—
1885C4—1461no—
1886C4H(5,𝔽2)×D7311yescharacteristic
1887C4C2×#1455663611yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—81no—
1891C2—81no—
1892C2—2922no—
1893C2—2921no—
1894C2—2921no—
1895C2—2921no—
1896C2—5841no—
1897C2—5841no—
1898C2#2262355911yescharacteristic
1899C2#2262470811yescharacteristic
1900C2#2262471611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3269C2
socleC22×C73C23×D4
hypercenter#3269D73
hypocenterC73#61654
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3269

Complements

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

NH ≅ G/Ntype
1. #22624214C2semidirect
2. #22623597C2semidirect
3. #22622262C2semidirect
4. #22622199C2semidirect
5. #22622157C2semidirect
6. #22622139C2semidirect
7. #22622018C2semidirect
8. #22621990C2semidirect
9. #22621954C2semidirect
10. #22621942C2semidirect
11. #22621592C2semidirect
12. #22621582C2semidirect
13. #22621555C2semidirect
14. #22621531C2semidirect
15. #22621516C2semidirect
16. #22621440C2semidirect
17. #22621429C2semidirect
18. #22621024C2semidirect
19. #22620998C2semidirect
20. #22620832C2semidirect
21. #22620816C2semidirect
22. #22620743C2semidirect
23. #22620732C2semidirect
24. #22620191C2semidirect
25. #22620144C2semidirect
26. #22619231C2semidirect
27. #22619205C2semidirect
28. #22619190C2semidirect
29. #22619172C2semidirect
30. #22618990C2semidirect
31. C73×#3269C2semidirect
34. C2×#14556623C22semidirect
35. C2×#14556623C22semidirect
36. C2×#14556623C22semidirect
37. C2×#14556616C22semidirect
38. C2×#14556616C22semidirect
39. C2×SD16×D73C22semidirect
42. #17989308C22semidirect
43. #17989295C22semidirect
45. #17989287C22semidirect
47. #17989277C22semidirect
50. #17989252C22semidirect
52. #17989244C22semidirect
53. #17989244C22semidirect
63. #17989202C22semidirect
64. #17989198C22semidirect
70. #17989165C22semidirect
71. #17989160C22semidirect
76. #17989094C22semidirect
77. C22⋊Q8×D73C22semidirect
81. #17988975C22semidirect
82. #17988968C22semidirect
83. #17988961C22semidirect
84. #17988952C22semidirect
85. #17988948C22semidirect
86. #17988941C22semidirect
87. #17988932C22semidirect
88. #17988926C22semidirect
89. #17988924C22semidirect
90. #17988921C22semidirect
91. #17988920C22semidirect
92. #17988916C22semidirect
93. #17988914C22semidirect
94. #17988912C22semidirect
95. #17988908C22semidirect
96. #17988902C22semidirect
97. #17988901C22semidirect
98. #17988899C22semidirect
99. #17988899C22semidirect
100. #17988894C22semidirect
101. #17988888C22semidirect
102. #17988880C22semidirect
103. #17988866C22semidirect
104. #17988843C22semidirect
105. #17988839C22semidirect
106. #17988837C22semidirect
107. #17988836C22semidirect
108. #17988836C22semidirect
109. #17988835C22semidirect
110. #17988835C22semidirect
111. #17988833C22semidirect
112. #17988831C22semidirect
113. #17988830C22semidirect
114. #17988830C22semidirect
115. #17988825C22semidirect
116. #17988822C22semidirect
117. #17988816C22semidirect
118. #17988811C22semidirect
119. #17988811C22semidirect
120. #17988807C22semidirect
121. #17988806C22semidirect
122. #17988801C22semidirect
123. #17988789C22semidirect
124. #17988788C22semidirect
125. #17988785C22semidirect
126. #17988785C22semidirect
127. #17988782C22semidirect
129. #17988752C22semidirect
130. #17988749C22semidirect
133. #17988748C22semidirect
134. #17988748C22semidirect
135. #17988748C22semidirect
136. #17988748C22semidirect
137. #17988748C22semidirect
138. #17988743C22semidirect
139. #17988741C22semidirect
140. #17988740C22semidirect
141. #17988740C22semidirect
142. #17988739C22semidirect
143. #17988737C22semidirect
144. #17988737C22semidirect
145. #17988736C22semidirect
146. #17988736C22semidirect
147. #17988736C22semidirect
148. #17988732C22semidirect
149. #17988732C22semidirect
151. #17988731C22semidirect
152. #17988731C22semidirect
153. #17988731C22semidirect
154. #17988731C22semidirect
155. #17988727C22semidirect
156. #17988727C22semidirect
157. #17988724C22semidirect
158. #17988719C22semidirect
159. #17988719C22semidirect
160. #17988694C22semidirect
161. #17988690C22semidirect
162. #17988689C22semidirect
163. Q16×Dic73C22semidirect
164. C4×#11924018C22semidirect
165. #17988672C22semidirect
166. C4×#11924013C22semidirect
167. #17988665C22semidirect
168. #17988664C22semidirect
169. #17988663C22semidirect
170. #17988662C22semidirect
171. #17988661C22semidirect
172. #17988660C22semidirect
173. #17988658C22semidirect
174. #17988649C22semidirect
175. #17988647C22semidirect
176. #17988596C22semidirect
177. #17988593C22semidirect
178. #17988590C22semidirect
179. #17988588C22semidirect
180. #17988587C22semidirect
181. #17988587C22semidirect
182. #17988582C22semidirect
183. C2×#14556513C22semidirect
184. #17988553C22semidirect
185. #17988552C22semidirect
186. #17988550C22semidirect
187. #17988549C22semidirect
188. C2×#137×C73C22semidirect
189. C2×#135×C73C22semidirect
191. #547×C73C22semidirect
192. #497×C73C22semidirect
193. #468×C73C22semidirect
194. #467×C73C22semidirect
195. #463×C73C22semidirect
196. #462×C73C22semidirect
197. #452×C73C22semidirect
198. #452×C73C22semidirect
199. #451×C73C22semidirect
200. #449×C73C22semidirect
201. #440×C73C22semidirect
202. #435×C73C22semidirect
966. #3269D73semidirect
982. C73#61654semidirect
988. C2×#137C2×D73semidirect
991. C2×#135C2×D73semidirect
1008. #547C2×D73semidirect
1036. #497C2×D73semidirect
1071. #468C2×D73semidirect
1073. #467C2×D73semidirect
1081. #463C2×D73semidirect
1082. #462C2×D73semidirect
1098. #452C2×D73semidirect
1099. #452C2×D73semidirect
1102. #451C2×D73semidirect
1118. #449C2×D73semidirect
1127. #440C2×D73semidirect
1139. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226242142
#226235972
#226222622
#226221992
#226221572
#226221392
#226220182
#226219902
#226219542
#226219422
#226215922
#226215822
#226215552
#226215312
#226215162
#226214402
#226214292
#226210242
#226209982
#226208322
#226208162
#226207432
#226207322
#226201912
#226201442
#226192312
#226192052
#226191902
#226191722
#226189902
C73×#32692
#6165473