Finite Group Databasebeta

← #33963376

Subgroups — #33963376

Order 18688.

2230 conjugacy classes of subgroups.

The subgroup lattice has 1898 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623645C211yesmaximal, characteristic, complemented
2#22623561C211yesmaximal, characteristic, complemented
3#22622171C211yesmaximal, characteristic, complemented
4#22622170C211yesmaximal, characteristic, complemented
5#22622156C211yesmaximal, characteristic, complemented
6#22622155C211yesmaximal, characteristic, complemented
7#22622154C211yesmaximal, characteristic, complemented
8#22622140C211yesmaximal, characteristic, complemented
9#22622132C211yesmaximal, characteristic, complemented
10#22622130C211yesmaximal, characteristic, complemented
11#22622086C211yesmaximal, characteristic, complemented
12#22622083C211yesmaximal, characteristic, complemented
13#22622074C211yesmaximal, characteristic, complemented
14#22622073C211yesmaximal, characteristic, complemented
15#22621962C211yesmaximal, characteristic, complemented
16#22621958C211yesmaximal, characteristic, complemented
17#22621957C211yesmaximal, characteristic, complemented
18#22620282C211yesmaximal, characteristic, complemented
19#22619884C211yesmaximal, characteristic, complemented
20#22619863C211yesmaximal, characteristic, complemented
21#22619757C211yesmaximal, characteristic, complemented
22#22619604C211yesmaximal, characteristic, complemented
23#22619542C211yesmaximal, characteristic, complemented
24#22619473C211yesmaximal, characteristic, complemented
25#22619239C211yesmaximal, characteristic, complemented
26#22619159C211yesmaximal, characteristic, complemented
27#22618762C211yesmaximal, characteristic, complemented
28#22618629C211yesmaximal, characteristic, complemented
29#22618453C211yesmaximal, characteristic, complemented
30#418×D73C211yesmaximal, characteristic, complemented
31C73×#3311C211yesmaximal, characteristic, complemented
32C2×#14556637C2211yescharacteristic
33C22×D4×D73C2211yescharacteristic
34C2×#14556618C2211yescharacteristic
35C2×#14556618C2211yescharacteristic, complemented
36C2×#14556614C2211yescharacteristic, complemented
37C2×#14556597C2211yescharacteristic, complemented
38C2×M16×D73C2211yescharacteristic, complemented
39#17989309—21no—
40#17989308C2211yescharacteristic, complemented
41#17989303C2211yescharacteristic, complemented
42#17989300C2211yescharacteristic, complemented
43#17989299—21no—
44#17989288—21no—
45#17989283C2211yescharacteristic, complemented
46#17989281C2211yescharacteristic, complemented
47#17989279C2211yescharacteristic, complemented
48#17989278C2211yescharacteristic, complemented
49#17989273—21no—
50#17989230C2211yescharacteristic
51#17989229—21no—
52#17989228C2211yescharacteristic
53#17989227—21no—
54#17989225C2211yescharacteristic
55D4×D292C2211yescharacteristic
56D4×D292C2211yescharacteristic
57#17989221—21no—
58#17989221C2211yescharacteristic
59D4×C22⋊D73C2211yescharacteristic
60#17989219—21no—
61#17989214C2211yescharacteristic, complemented
62#17989176—21no—
63#17989171—21no—
64#17989167C2211yescharacteristic, complemented
65#17989155C2211yescharacteristic
66#17989153C2211yescharacteristic
67#17989148—21no—
68#17989145—21no—
69#17989124—21no—
70#17989120—21no—
71#17989100C2211yescharacteristic
72#17989100C2211yescharacteristic, complemented
73#17989096C2211yescharacteristic
74C2×#14556561—21no—
75#120×D73—21no—
76#17989069C2211yescharacteristic, complemented
77#17989067C2211yescharacteristic, complemented
78#17989059C2211yescharacteristic
79#117×D73C2211yescharacteristic, complemented
80#17988952C2211yescharacteristic, complemented
81#17988950C2211yescharacteristic, complemented
82#17988948C2211yescharacteristic, complemented
83#17988943C2211yescharacteristic, complemented
84#17988941C2211yescharacteristic, complemented
85#17988935C2211yescharacteristic, complemented
86#17988932C2211yescharacteristic, complemented
87#17988927C2211yescharacteristic, complemented
88#17988926C2211yescharacteristic, complemented
89#17988925C2211yescharacteristic, complemented
90#17988914C2211yescharacteristic, complemented
91#17988913C2211yescharacteristic, complemented
92#17988913C2211yescharacteristic, complemented
93#17988912C2211yescharacteristic, complemented
94#17988911C2211yescharacteristic, complemented
95#17988911C2211yescharacteristic, complemented
96#17988910C2211yescharacteristic, complemented
97#17988906C2211yescharacteristic, complemented
98#17988904C2211yescharacteristic, complemented
99#17988902C2211yescharacteristic, complemented
100#17988898C2211yescharacteristic, complemented
101#17988889C2211yescharacteristic, complemented
102#17988888C2211yescharacteristic, complemented
103#17988887C2211yescharacteristic, complemented
104#17988886C2211yescharacteristic, complemented
105#17988876C2211yescharacteristic, complemented
106#17988865C2211yescharacteristic, complemented
107#17988864C2211yescharacteristic, complemented
108#17988842C2211yescharacteristic, complemented
109#17988841C2211yescharacteristic, complemented
110#17988841C2211yescharacteristic, complemented
111#17988840C2211yescharacteristic, complemented
112#17988838C2211yescharacteristic, complemented
113#17988836C2211yescharacteristic, complemented
114#17988836C2211yescharacteristic, complemented
115#17988835C2211yescharacteristic, complemented
116#17988835C2211yescharacteristic, complemented
117#17988835C2211yescharacteristic, complemented
118#17988830C2211yescharacteristic, complemented
119#17988823C2211yescharacteristic, complemented
120#17988822C2211yescharacteristic, complemented
121#17988819C2211yescharacteristic, complemented
122#17988811C2211yescharacteristic, complemented
123#17988805C2211yescharacteristic, complemented
124#17988799C2211yescharacteristic, complemented
125#17988787C2211yescharacteristic, complemented
126#17988785C2211yescharacteristic, complemented
127#17988783C2211yescharacteristic, complemented
128#17988781C2211yescharacteristic, complemented
129#17988748C2211yescharacteristic, complemented
130#17988737C2211yescharacteristic, complemented
131#17988737C2211yescharacteristic, complemented
132#17988736C2211yescharacteristic, complemented
133#17988736C2211yescharacteristic, complemented
134#17988736C2211yescharacteristic, complemented
135#17988735C2211yescharacteristic, complemented
136#17988732C2211yescharacteristic, complemented
137#17988723C2211yescharacteristic, complemented
138#17988723C2211yescharacteristic, complemented
139#17988722C2211yescharacteristic, complemented
140#17988722C2211yescharacteristic, complemented
141#17988722C2211yescharacteristic, complemented
142#17988721C2211yescharacteristic, complemented
143#17988700C2211yescharacteristic, complemented
144#17988696C2211yescharacteristic, complemented
145#17988690C2211yescharacteristic, complemented
146SD16×Dic73C2211yescharacteristic, complemented
147C4×#11924015C2211yescharacteristic, complemented
148#17988669C2211yescharacteristic, complemented
149C4×#11924013C2211yescharacteristic, complemented
150#17988665C2211yescharacteristic, complemented
151#17988664C2211yescharacteristic, complemented
152#17988662C2211yescharacteristic, complemented
153#17988662C2211yescharacteristic, complemented
154#17988660C2211yescharacteristic, complemented
155#17988658C2211yescharacteristic, complemented
156#17988656C2211yescharacteristic, complemented
157#17988628C2211yescharacteristic, complemented
158#17988626C2211yescharacteristic, complemented
159#17988622C2211yescharacteristic, complemented
160#17988612C2211yescharacteristic, complemented
161#17988593C2211yescharacteristic, complemented
162#17988592C2211yescharacteristic, complemented
163#17988591C2211yescharacteristic, complemented
164#17988591C2211yescharacteristic, complemented
165#17988590C2211yescharacteristic
166#17988590C2211yescharacteristic, complemented
167#17988590C2211yescharacteristic, complemented
168#17988590C2211yescharacteristic, complemented
169#17988590C2211yescharacteristic, complemented
170#17988590C2211yescharacteristic, complemented
171#17988590C2211yescharacteristic, complemented
172#17988588C2211yescharacteristic, complemented
173#17988587C2211yescharacteristic, complemented
174#17988587C2211yescharacteristic, complemented
175#17988587C2211yescharacteristic, complemented
176#17988582C2211yescharacteristic, complemented
177#17988582C2211yescharacteristic, complemented
178#17988582C2211yescharacteristic, complemented
179C2×#14556513C2211yescharacteristic, complemented
180#102×D73C2211yescharacteristic
181#102×D73C2211yescharacteristic
182#102×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#102×D73C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988549C2211yescharacteristic, complemented
187#17988544C2211yescharacteristic, complemented
188#556×C73C2211yescharacteristic, complemented
189#546×C73C2211yescharacteristic
190#489×C73C2211yescharacteristic, complemented
191#485×C73C2211yescharacteristic, complemented
192#482×C73C2211yescharacteristic, complemented
193#476×C73C2211yescharacteristic, complemented
194#470×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#464×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic, complemented
198#450×C73C2211yescharacteristic, complemented
199#440×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#418×C73C2211yescharacteristic, complemented
202#416×C73C2211yescharacteristic, complemented
203C24×D73—21no—
204#14556637—24no—
205#14556637—42no—
206C2×#11924029C2311yescharacteristic
207C2×#11924029C2311yescharacteristic
208C2×#11924029C2311yescharacteristic
209C2×#11924028—21no—
210C2×#11924028C2311yescharacteristic
211C22×D292—21no—
212C22×D292—21no—
213C22×D292C2311yescharacteristic
214C22×D292C2311yescharacteristic
215C22×C22⋊D73—21no—
216C22×C22⋊D73—21no—
217C2×D4×D73—24no—
218C2×D4×D73—21no—
219C2×D4×D73—21no—
220C2×D4×D73—21no—
221C2×D4×D73—21no—
222C2×D4×D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73—42no—
225C2×D4×D73C2311yescharacteristic
226C2×D4×D73C2311yescharacteristic
227C2×D4×D73C2311yescharacteristic
228C2×D4×D73C2311yescharacteristic
229C2×D4×D73C2311yescharacteristic
230C22×C4×D73C2311yescharacteristic
231#14556618—24no—
232#14556618—42no—
233#14556614—42no—
234C2×#11924015C2311yescharacteristic
235C2×#11924015C2311yescharacteristic
236C2×#11924015C2311yescharacteristic, complemented
237C2×#11924015C2311yescharacteristic, complemented
238C2×D584C2311yescharacteristic
239C2×D584C2311yescharacteristic
240C2×D584C2311yescharacteristic, complemented
241C2×#11924013C2311yescharacteristic
242C2×#11924013C2311yescharacteristic
243#14556597—42no—
244C2×#11924012C2311yescharacteristic
245C2×#11924012C2311yescharacteristic, complemented
246C2×#11924011C2311yescharacteristic
247C2×#11924011C2311yescharacteristic
248C2×#11924011C2311yescharacteristic
249C2×#11924011C2311yescharacteristic
250C2×#11924011C2311yescharacteristic, complemented
251M16×D73—42no—
252C2×C8×D73C2311yescharacteristic
253C2×C8×D73C2311yescharacteristic
254C2×C8×D73C2311yescharacteristic, complemented
255#14556590C2311yescharacteristic, complemented
256#14556589—21no—
257#14556588C2311yescharacteristic
258#14556587—21no—
259#14556587C2311yescharacteristic
260#14556586—21no—
261#14556586—21no—
262#14556586—21no—
263#14556585—21no—
264#14556585—21no—
265#14556584—21no—
266#14556583C2311yescharacteristic, complemented
267#14556582—21no—
268#14556582C2311yescharacteristic, complemented
269#14556581—21no—
270#14556581—21no—
271#14556580—21no—
272#14556580—21no—
273#14556580C2311yescharacteristic
274#14556579—21no—
275#14556577—21no—
276#14556577—21no—
277#14556577—21no—
278#14556576—21no—
279#14556576—21no—
280#14556576—21no—
281#14556576—21no—
282#14556576D411yescharacteristic
283#14556575—21no—
284#14556574—21no—
285#14556573—21no—
286#14556573—21no—
287#14556573—21no—
288#14556573D411yescharacteristic
289#14556569—21no—
290#14556569—21no—
291#14556569D411yescharacteristic
292#14556568D411yescharacteristic
293#14556567—21no—
294#14556567C2311yescharacteristic
295#14556567C2311yescharacteristic
296#14556567C2311yescharacteristic, complemented
297#14556566—21no—
298#14556566—21no—
299#14556566—21no—
300#14556566—21no—
301#14556566C2311yescharacteristic
302#14556566C2311yescharacteristic
303#14556566C2311yescharacteristic
304#14556566C2311yescharacteristic, complemented
305#14556565—21no—
306#14556565C2311yescharacteristic
307#14556565C2311yescharacteristic
308#14556565C2311yescharacteristic
309#14556565C2311yescharacteristic, complemented
310#14556564—21no—
311#14556564—21no—
312#14556564—21no—
313#14556564—21no—
314#14556564—21no—
315#14556564—21no—
316#14556564—21no—
317#14556564—21no—
318#14556564D411yescharacteristic
319#14556563—21no—
320#14556563—21no—
321#14556563—21no—
322#14556563D411yescharacteristic
323#14556562C2311yescharacteristic
324#14556561—21no—
325#14556561—21no—
326#14556561—21no—
327#14556561—21no—
328#14556561—21no—
329#14556561—21no—
330#14556561—21no—
331#14556561—21no—
332#14556561—21no—
333#14556561—21no—
334#14556561—21no—
335#14556561—21no—
336#14556561D411yescharacteristic
337#14556560—21no—
338#14556559—21no—
339#14556559—21no—
340#14556559—21no—
341#14556559—21no—
342#14556559D411yescharacteristic
343Q8×Dic73C2311yescharacteristic, complemented
344C4×Dic146—21no—
345#14556556—21no—
346C4×D292—21no—
347C4×D292—21no—
348C4×D292—21no—
349C4×D292C2311yescharacteristic
350C4×D292C2311yescharacteristic
351C4×D292C2311yescharacteristic, complemented
352D4×Dic73C2311yescharacteristic
353#14556553—21no—
354#14556553—21no—
355#14556553—21no—
356#14556553C2311yescharacteristic
357#14556553C2311yescharacteristic, complemented
358C4×C22⋊D73—21no—
359C4×C22⋊D73C2311yescharacteristic
360C4×C22⋊D73C2311yescharacteristic
361#14556551—21no—
362#14556551—21no—
363#14556551—21no—
364#14556551—21no—
365#14556551—21no—
366#14556551—21no—
367#14556550C2311yescharacteristic
368#14556549—21no—
369#14556549C2311yescharacteristic
370#14556549C2311yescharacteristic
371#14556549C2311yescharacteristic
372#14556549C2311yescharacteristic
373#14556549C2311yescharacteristic, complemented
374#14556548—21no—
375#14556548—21no—
376#14556548—21no—
377#14556548—21no—
378#14556548C2311yescharacteristic
379#14556547—21no—
380#14556547—21no—
381C2×C4⋊Dic73C2311yescharacteristic, complemented
382C4⋊C4×D73—21no—
383C4⋊C4×D73C2311yescharacteristic
384C4⋊C4×D73C2311yescharacteristic
385C4⋊C4×D73C2311yescharacteristic, complemented
386C2×#11924005—21no—
387C2×#11924005—21no—
388C22⋊C4×D73—21no—
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C42×D73—21no—
393#14556525C2311yescharacteristic, complemented
394#14556524C2311yescharacteristic, complemented
395#14556524C2311yescharacteristic, complemented
396#14556524C2311yescharacteristic, complemented
397#14556524C2311yescharacteristic, complemented
398#14556523C2311yescharacteristic, complemented
399#14556523C2311yescharacteristic, complemented
400#14556522C2311yescharacteristic, complemented
401#14556522C2311yescharacteristic, complemented
402C4⋊#10596831C2311yescharacteristic, complemented
403#14556520C2311yescharacteristic, complemented
404#14556520C2311yescharacteristic, complemented
405#14556515C2311yescharacteristic, complemented
406#14556515C2311yescharacteristic, complemented
407#14556515C2311yescharacteristic, complemented
408#14556515C2311yescharacteristic, complemented
409#14556513C2311yescharacteristic
410#14556513C2311yescharacteristic
411#14556513C2311yescharacteristic
412#14556513C2311yescharacteristic
413#14556513C2311yescharacteristic
414#14556513C2311yescharacteristic
415#14556513C2311yescharacteristic, complemented
416#14556513C2311yescharacteristic, complemented
417#14556513C2311yescharacteristic, complemented
418#14556513C2311yescharacteristic, complemented
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556512C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic, complemented
432#14556511C2311yescharacteristic, complemented
433#14556511C2311yescharacteristic, complemented
434#14556511C2311yescharacteristic, complemented
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic, complemented
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic, complemented
440#14556503C2311yescharacteristic, complemented
441#14556501C2311yescharacteristic, complemented
442C4×#10596831C2311yescharacteristic, complemented
443C8×Dic73C2311yescharacteristic, complemented
444C2×#41×C73C2311yescharacteristic
445C22×D4×C73C2311yescharacteristic
446C2×Q16×C73C2311yescharacteristic, complemented
447C2×SD16×C73C2311yescharacteristic
448C2×SD16×C73C2311yescharacteristic
449C2×M16×C73C2311yescharacteristic
450C22×C8×C73C2311yescharacteristic, complemented
451C4⋊Q8×C73C2311yescharacteristic, complemented
452#126×C73—21no—
453#126×C73—21no—
454#124×C73—21no—
455#124×C73C2311yescharacteristic
456#123×C73—21no—
457C22⋊Q8×C73C2311yescharacteristic
458C22⋊Q8×C73C2311yescharacteristic
459C22⋊Q8×C73C2311yescharacteristic, complemented
460#121×C73—21no—
461#121×C73C2311yescharacteristic
462#120×C73—21no—
463C4×Q8×C73—21no—
464C4×Q8×C73C2311yescharacteristic, complemented
465C4×D4×C73C2311yescharacteristic
466C4×D4×C73C2311yescharacteristic
467#117×C73C2311yescharacteristic
468#117×C73C2311yescharacteristic, complemented
469C2×C22⋊C4×C73—21no—
470#107×C73C2311yescharacteristic, complemented
471#106×C73C2311yescharacteristic, complemented
472#106×C73C2311yescharacteristic, complemented
473C4⋊C8×C73C2311yescharacteristic, complemented
474#103×C73C2311yescharacteristic, complemented
475#103×C73C2311yescharacteristic, complemented
476#103×C73C2311yescharacteristic, complemented
477#103×C73C2311yescharacteristic, complemented
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482#102×C73C2311yescharacteristic
483#102×C73C2311yescharacteristic
484C22⋊C8×C73C2311yescharacteristic
485C22⋊C8×C73C2311yescharacteristic, complemented
486#97×C73C2311yescharacteristic, complemented
487C23×D73—21no—
488C23×D73—21no—
489C23×D73—21no—
490C23×D73—21no—
491C23×D73—21no—
492C23×D73—21no—
493C23×D73—21no—
494C23×D73—44no—
495C23×D73—82no—
496C23×D73—82no—
497C23×D73C2×D411yescharacteristic
498#11924029—22no—
499#11924029—22no—
500#11924029—22no—
501#11924029—22no—
502#11924029—22no—
503#11924029—41no—
504#11924028—22no—
505#11924028—22no—
506#11924028—44no—
507C2×Dic146—21no—
508C2×Dic146C2×D411yescharacteristic
509C2×D292—22no—
510C2×D292—22no—
511C2×D292—21no—
512C2×D292—21no—
513C2×D292—21no—
514C2×D292—21no—
515C2×D292—21no—
516C2×D292—21no—
517C2×D292—21no—
518C2×D292—21no—
519C2×D292—21no—
520C2×D292—21no—
521C2×D292—21no—
522C2×D292—41no—
523C2×D292—41no—
524C2×D292—44no—
525C2×D292—82no—
526C2×D292C2×D411yescharacteristic
527C2×D292C2×D411yescharacteristic
528C2×D292C2411yescharacteristic
529C2×D292C2411yescharacteristic
530C2×D292C2411yescharacteristic
531C2×D292C2411yescharacteristic
532C2×C22⋊D73—21no—
533C2×C22⋊D73—21no—
534C2×C22⋊D73—21no—
535C2×C22⋊D73—21no—
536C2×C22⋊D73—21no—
537C2×C22⋊D73—21no—
538C2×C22⋊D73—21no—
539C2×C22⋊D73—21no—
540C2×C22⋊D73—21no—
541C2×C22⋊D73—21no—
542C2×C22⋊D73—21no—
543C2×C22⋊D73—21no—
544C2×C22⋊D73—44no—
545C2×C22⋊D73—82no—
546C2×C22⋊D73C2×D411yescharacteristic
547C2×C22⋊D73C2×D411yescharacteristic
548C2×C22⋊D73C2×D411yescharacteristic
549C2×C22⋊D73C2×D411yescharacteristic
550D4×D73—22no—
551D4×D73—22no—
552D4×D73—22no—
553D4×D73—22no—
554D4×D73—22no—
555D4×D73—22no—
556D4×D73—41no—
557D4×D73—41no—
558D4×D73—41no—
559D4×D73—44no—
560D4×D73—44no—
561D4×D73—44no—
562D4×D73—44no—
563D4×D73—82no—
564D4×D73—82no—
565D4×D73#4114yes—
566C22×Dic73—21no—
567C22×Dic73—21no—
568C22×Dic73C2×D411yescharacteristic
569C2×C4×D73—22no—
570C2×C4×D73—22no—
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—21no—
578C2×C4×D73—21no—
579C2×C4×D73—21no—
580C2×C4×D73—21no—
581C2×C4×D73C2×D411yescharacteristic
582C2×C4×D73C2×D411yescharacteristic
583C2×C4×D73C2411yescharacteristic
584C2×C4×D73C2411yescharacteristic
585C2×C4×D73C2411yescharacteristic
586#11924015—22no—
587#11924015—41no—
588#11924015—41no—
589#11924015—41no—
590D584—22no—
591D584—41no—
592D584—41no—
593#11924013—22no—
594#11924013—41no—
595#11924012—41no—
596#11924012—41no—
597#11924011—22no—
598#11924011—22no—
599#11924011—41no—
600#11924011—41no—
601#11924011—41no—
602C2×#10596831C2411yescharacteristic
603C2×#10596831C2411yescharacteristic
604C2×#10596831C2411yescharacteristic
605C2×#10596831C2411yescharacteristic
606C8×D73—22no—
607C8×D73—22no—
608C8×D73—41no—
609C4⋊Dic73—21no—
610C4⋊Dic73—21no—
611C4⋊Dic73—21no—
612C4⋊Dic73C2×D411yescharacteristic
613C4⋊Dic73C2411yescharacteristic
614C4⋊Dic73C2411yescharacteristic
615C4⋊Dic73C2411yescharacteristic
616C4⋊Dic73C2411yescharacteristic
617#11924007—21no—
618#11924007—21no—
619#11924007—21no—
620#11924007—21no—
621#11924007—21no—
622#11924007—21no—
623#11924007—21no—
624#11924007—21no—
625#11924007—21no—
626#11924007—21no—
627#11924007C2×D411yescharacteristic
628#11924007C2×D411yescharacteristic
629#11924007C2×D411yescharacteristic
630#11924007C2×D411yescharacteristic
631C22⋊Dic73—21no—
632C22⋊Dic73—21no—
633C22⋊Dic73—21no—
634C22⋊Dic73C2×D411yescharacteristic
635C22⋊Dic73C2×D411yescharacteristic
636#11924005—21no—
637#11924005—21no—
638#11924005—21no—
639#11924005—21no—
640#11924005—21no—
641#11924005—21no—
642#11924005—21no—
643#11924005—21no—
644#11924005—21no—
645#11924005—21no—
646#11924005—21no—
647#11924005—21no—
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#11924005C2×D411yescharacteristic
659#11924005C2×D411yescharacteristic
660#11924005C2×D411yescharacteristic
661#11924005C2×D411yescharacteristic
662#11924005C2×D411yescharacteristic
663#11924005C2×D411yescharacteristic
664C4×Dic73—21no—
665C4×Dic73—21no—
666C4×Dic73—21no—
667C4×Dic73—21no—
668C4×Dic73—21no—
669C4×Dic73—21no—
670C4×Dic73—21no—
671C4×Dic73C2411yescharacteristic
672C24×C73—21no—
673#41×C73—22no—
674#41×C73—41no—
675C2×Q8×C73—21no—
676C2×Q8×C73C2411yescharacteristic
677C2×Q8×C73C2411yescharacteristic
678C2×D4×C73—22no—
679C2×D4×C73—21no—
680C2×D4×C73—21no—
681C2×D4×C73—21no—
682C2×D4×C73—41no—
683C2×D4×C73C2×D411yescharacteristic
684C2×D4×C73C2411yescharacteristic
685C2×D4×C73C2411yescharacteristic
686C22×C4×C73—21no—
687C22×C4×C73—21no—
688C22×C4×C73C2411yescharacteristic
689C22×C4×C73C2411yescharacteristic
690Q16×C73—41no—
691SD16×C73—22no—
692SD16×C73—41no—
693M16×C73—41no—
694C2×C8×C73—41no—
695C2×C8×C73C2411yescharacteristic
696C2×C8×C73C2411yescharacteristic
697C2×C8×C73C2411yescharacteristic
698C2×C8×C73C2411yescharacteristic
699C4⋊C4×C73—21no—
700C4⋊C4×C73—21no—
701C4⋊C4×C73—21no—
702C4⋊C4×C73—21no—
703C4⋊C4×C73—21no—
704C4⋊C4×C73C2×D411yescharacteristic
705C4⋊C4×C73C2411yescharacteristic
706C4⋊C4×C73C2411yescharacteristic
707C4⋊C4×C73C2411yescharacteristic
708C4⋊C4×C73C2411yescharacteristic
709C22⋊C4×C73—21no—
710C22⋊C4×C73—21no—
711C22⋊C4×C73—21no—
712C22⋊C4×C73—21no—
713C22⋊C4×C73—21no—
714C22⋊C4×C73—21no—
715C22⋊C4×C73—21no—
716C22⋊C4×C73—21no—
717C22⋊C4×C73—21no—
718C22⋊C4×C73C2×D411yescharacteristic
719C22⋊C4×C73C2×D411yescharacteristic
720C42×C73—21no—
721C42×C73—21no—
722C42×C73—21no—
723C42×C73C2411yescharacteristic
724C23×C73—21no—
725C23×C73—21no—
726C23×C73—42no—
727C23×C73—42no—
728C23×C73—81no—
729C23×C73C22×D411yescharacteristic
730C23×C73C22×D411yescharacteristic
731C22×D73—21no—
732C22×D73—22no—
733C22×D73—24no—
734C22×D73—21no—
735C22×D73—21no—
736C22×D73—21no—
737C22×D73—41no—
738C22×D73—41no—
739C22×D73—42no—
740C22×D73—42no—
741C22×D73—42no—
742C22×D73—42no—
743C22×D73—42no—
744C22×D73—42no—
745C22×D73—42no—
746C22×D73—42no—
747C22×D73—42no—
748C22×D73—81no—
749C22×D73—81no—
750C22×D73—81no—
751C22×D73—81no—
752C22×D73—81no—
753C22×D73—81no—
754C22×D73—81no—
755C22×D73—81no—
756C22×D73—81no—
757C22×D73—81no—
758C22×D73—81no—
759C22×D73—816no—
760C22×D73C22×D411yescharacteristic
761C22×D73C22×D411yescharacteristic
762C22×D73C22×D411yescharacteristic
763Q8×C73—21no—
764Q8×C73—21no—
765Q8×C73—21no—
766Q8×C73—21no—
767Q8×C73—81no—
768D4×C73—21no—
769D4×C73—21no—
770D4×C73—21no—
771D4×C73—41no—
772D4×C73—42no—
773D4×C73—42no—
774D4×C73—81no—
775D4×C73C2×#4112yes—
776C2×C4×C73—21no—
777C2×C4×C73—21no—
778C2×C4×C73—21no—
779C2×C4×C73—21no—
780C2×C4×C73—21no—
781C2×C4×C73—21no—
782C2×C4×C73—21no—
783C2×C4×C73—21no—
784C2×C4×C73—21no—
785C2×C4×C73—21no—
786C2×C4×C73—42no—
787C2×C4×C73—81no—
788C2×C4×C73C22×D411yescharacteristic
789C2×C4×C73C22×D411yescharacteristic
790C2×C4×C73C22×D411yescharacteristic
791C2×C4×C73C22×D411yescharacteristic
792C2×C4×C73C2511yescharacteristic
793C22⋊D73—22no—
794C22⋊D73—24no—
795C22⋊D73—22no—
796C22⋊D73—41no—
797C22⋊D73—41no—
798C22⋊D73—42no—
799C22⋊D73—42no—
800C22⋊D73—42no—
801C22⋊D73—42no—
802C22⋊D73—42no—
803C22⋊D73—81no—
804C22⋊D73—81no—
805C22⋊D73—81no—
806C22⋊D73—81no—
807C22⋊D73—81no—
808C22⋊D73—81no—
809C2×Dic73—22no—
810C2×Dic73—21no—
811C2×Dic73—21no—
812C2×Dic73—21no—
813C2×Dic73—21no—
814C2×Dic73—81no—
815C2×Dic73—81no—
816C2×Dic73C22×D411yescharacteristic
817C2×Dic73C22×D411yescharacteristic
818C2×Dic73C22×D411yescharacteristic
819C2×Dic73C22×D411yescharacteristic
820C2×Dic73C22×D411yescharacteristic
821D292—22no—
822D292—21no—
823D292—21no—
824D292—21no—
825D292—21no—
826D292—21no—
827D292—21no—
828D292—21no—
829D292—41no—
830D292—42no—
831D292—42no—
832D292—42no—
833D292—42no—
834D292—42no—
835D292—42no—
836D292—81no—
837D292—81no—
838D292—81no—
839D292—81no—
840D292—81no—
841D292C2×#4112yes—
842C4×D73—22no—
843C4×D73—21no—
844C4×D73—21no—
845C4×D73—21no—
846C4×D73—21no—
847C4×D73—22no—
848C4×D73—42no—
849C4×D73—42no—
850C4×D73—42no—
851C4×D73—81no—
852C4×D73—81no—
853C4×D73—81no—
854C4×D73—81no—
855C4×D73—81no—
856C4×D73—81no—
857C4×D73—81no—
858C4×D73C2×#4112yes—
859C4×D73H(5,𝔽2)12yes—
860Dic146—22no—
861Dic146—81no—
862C8×C73—21no—
863C8×C73—21no—
864C8×C73—21no—
865C8×C73—21no—
866#10596831—21no—
867#10596831—21no—
868#10596831—21no—
869#10596831—21no—
870C22×C73—21no—
871C22×C73—21no—
872C22×C73—21no—
873C22×C73—21no—
874C22×C73—21no—
875C22×C73—21no—
876C22×C73—22no—
877C22×C73—41no—
878C22×C73—41no—
879C22×C73—41no—
880C22×C73—41no—
881C22×C73—41no—
882C22×C73—84no—
883C22×C73C23×D411yescharacteristic
884C2×D73—21no—
885C2×D73—21no—
886C2×D73—21no—
887C2×D73—21no—
888C2×D73—21no—
889C2×D73—21no—
890C2×D73—21no—
891C2×D73—21no—
892C2×D73—22no—
893C2×D73—44no—
894C2×D73—41no—
895C2×D73—41no—
896C2×D73—41no—
897C2×D73—41no—
898C2×D73—41no—
899C2×D73—41no—
900C2×D73—41no—
901C2×D73—41no—
902C2×D73—41no—
903C2×D73—41no—
904C2×D73—41no—
905C2×D73—84no—
906C2×D73—84no—
907C2×D73—84no—
908C2×D73—84no—
909C2×D73—84no—
910C2×D73—162no—
911C2×D73—162no—
912C2×D73#54612yes—
913C4×C73—21no—
914C4×C73—21no—
915C4×C73—21no—
916C4×C73—21no—
917C4×C73—41no—
918C4×C73—41no—
919C4×C73—41no—
920C4×C73—41no—
921C4×C73—41no—
922C4×C73—41no—
923C4×C73C22×#4111yescharacteristic
924C4×C73C2×H(5,𝔽2)11yescharacteristic
925Dic73—21no—
926Dic73—21no—
927Dic73—21no—
928Dic73—21no—
929Dic73—41no—
930Dic73—41no—
931Dic73—41no—
932Dic73—41no—
933Dic73#54612yes—
934#61175—731nomaximal, Sylow
935C2×C73—41no—
936C2×C73—42no—
937C2×C73—41no—
938C2×C73—81no—
939C2×C73C2×#54611yescharacteristic
940C2×C73#358511yescharacteristic
941C2×C73#358511yescharacteristic
942D73—22no—
943D73—41no—
944D73—41no—
945D73—42no—
946D73—81no—
947D73—81no—
948D73—81no—
949#3493—731no—
950#3484—731no—
951#3325—731no—
952#3325—731no—
953#3324—731no—
954#3324—731no—
955#3323—731no—
956#3323—731no—
957#3322—731no—
958#3322—731no—
959#3319—731no—
960#3319—731no—
961#3318—731no—
962#3318—731no—
963#3311—731no—
964#3311D7311yescharacteristic, complemented
965#3310—731no—
966#3310—731no—
967#3136—731no—
968#3096—731no—
969#3093—731no—
970#3081—731no—
971#3062—731no—
972#3054—731no—
973#3045—731no—
974#3012—731no—
975#3003—731no—
976#2946—731no—
977#2930—731no—
978#2897—731no—
979C2×#418—731no—
980C73#6117511yescharacteristic, complemented, Sylow
981C2×H(5,𝔽2)—731no—
982C23×D4—731no—
983C2×AGL(1,ℤ/8)—731no—
984C2×AGL(1,ℤ/8)—731no—
985C2×#135—731no—
986C2×#131—731no—
987C22×M16—731no—
988#556—731no—
989#556—1461no—
990#556C2×D7311yescharacteristic, complemented
991#555—731no—
992#555—731no—
993#555—1461no—
994#553—731no—
995#553—731no—
996#553—1461no—
997#552—731no—
998#552—731no—
999#552—1461no—
1000#546—731no—
1001#546—731no—
1002#546—731no—
1003#546—1461no—
1004#546—1461no—
1005#546C2×D7311yescharacteristic
1006D42—731no—
1007D42—731no—
1008D42—731no—
1009D42—731no—
1010D42—1461no—
1011D42—1461no—
1012#544—731no—
1013#538—1461no—
1014#538—1461no—
1015#537—731no—
1016#535—731no—
1017#535—731no—
1018#534—1461no—
1019#534—1461no—
1020#529—1461no—
1021#529—1461no—
1022#525—731no—
1023#525—731no—
1024#525—731no—
1025C2×#120—1461no—
1026C2×#120—1461no—
1027#520—731no—
1028#520—731no—
1029#518—731no—
1030C2×#117—731no—
1031#490—731no—
1032#490—731no—
1033#489—731no—
1034#489C2×D7311yescharacteristic, complemented
1035#488—731no—
1036#488—731no—
1037#486—731no—
1038#486—731no—
1039#485—731no—
1040#485—731no—
1041#485—731no—
1042#485C2×D7311yescharacteristic, complemented
1043#482—731no—
1044#482—731no—
1045#482—731no—
1046#482—731no—
1047#482—731no—
1048#482—731no—
1049#482—731no—
1050#482C2×D7311yescharacteristic, complemented
1051#481—731no—
1052#481—731no—
1053#480—731no—
1054#480—731no—
1055#478—731no—
1056#478—731no—
1057#478—731no—
1058#478—731no—
1059#476—731no—
1060#476C2×D7311yescharacteristic, complemented
1061#474—731no—
1062#474—731no—
1063#470—731no—
1064#470C2×D7311yescharacteristic, complemented
1065#469—731no—
1066#469—731no—
1067#469—731no—
1068#469—731no—
1069#468—731no—
1070#468—731no—
1071#468—731no—
1072#468—731no—
1073#468—731no—
1074#468—731no—
1075#466—731no—
1076#466—731no—
1077#465—731no—
1078#465C2×D7311yescharacteristic, complemented
1079#464—731no—
1080#464C2×D7311yescharacteristic, complemented
1081#463—731no—
1082#463—731no—
1083#460—731no—
1084#460—731no—
1085#459—731no—
1086#459—731no—
1087#452—731no—
1088#452C2×D7311yescharacteristic, complemented
1089#450—731no—
1090#450—731no—
1091#450—731no—
1092#450—731no—
1093#450—731no—
1094#450C2×D7311yescharacteristic, complemented
1095#449—731no—
1096#449—731no—
1097#447—731no—
1098#447—731no—
1099#447—731no—
1100#447—731no—
1101#447—731no—
1102#447—731no—
1103#442—731no—
1104#442—731no—
1105#440—731no—
1106#440C2×D7311yescharacteristic, complemented
1107C4×SD16—731no—
1108C4×SD16—731no—
1109C4×D8—731no—
1110C4×D8—731no—
1111#436—731no—
1112#436—731no—
1113#436—731no—
1114#436—731no—
1115#435—731no—
1116#435—731no—
1117#435—731no—
1118#435C2×D7311yescharacteristic, complemented
1119#428—731no—
1120#428—731no—
1121#427—731no—
1122#424—731no—
1123#418—731no—
1124#418—731no—
1125#418—731no—
1126#418—731no—
1127#418—731no—
1128#418—731no—
1129#418—731no—
1130#418—731no—
1131#418—731no—
1132#418—731no—
1133#418—731no—
1134#418C2×D7311yescharacteristic, complemented
1135#417—731no—
1136#417—731no—
1137#417—731no—
1138#417—731no—
1139#416—731no—
1140#416—731no—
1141#416—731no—
1142#416C2×D7311yescharacteristic, complemented
1143C2×#102—731no—
1144C2×#102—731no—
1145C2×#102—731no—
1146C2×#102—731no—
1147C2×#102—731no—
1148C2×#102—731no—
1149#408—731no—
1150#407—731no—
1151#405—731no—
1152C25—1461no—
1153H(5,𝔽2)—2922no—
1154H(5,𝔽2)—1464no—
1155C2×#41—731no—
1156C2×#41—731no—
1157C2×#41—731no—
1158C2×#41—731no—
1159C2×#41—1461no—
1160C2×#41C22×D7311yescharacteristic
1161C22×D4—2922no—
1162C22×D4—731no—
1163C22×D4—731no—
1164C22×D4—731no—
1165C22×D4—731no—
1166C22×D4—731no—
1167C22×D4—731no—
1168C22×D4—731no—
1169C22×D4—1461no—
1170C22×D4—1461no—
1171C22×D4—1461no—
1172C22×D4—1461no—
1173C22×D4—1461no—
1174C22×D4—1461no—
1175C22×D4—1461no—
1176C22×D4—1464no—
1177C22×D4—1461no—
1178C22×D4—1461no—
1179C22×D4—1461no—
1180C22×D4C22×D7311yescharacteristic
1181C23×C4—731no—
1182AGL(1,ℤ/8)—2922no—
1183AGL(1,ℤ/8)—1464no—
1184#135—2922no—
1185C2×Q16C22×D7311yescharacteristic, complemented
1186C2×SD16—731no—
1187C2×SD16—731no—
1188C2×SD16—731no—
1189C2×SD16—731no—
1190C2×SD16C22×D7311yescharacteristic
1191C2×SD16C22×D7311yescharacteristic
1192C2×D8—731no—
1193C2×D8—731no—
1194C2×D8—731no—
1195C2×D8—731no—
1196C2×D8—731no—
1197#131—2922no—
1198C2×M16—2922no—
1199C2×M16—731no—
1200C2×M16—731no—
1201C2×M16—731no—
1202C2×M16—731no—
1203C2×M16—731no—
1204C2×M16—731no—
1205C2×M16—731no—
1206C2×M16C22×D7311yescharacteristic
1207C22×C8—731no—
1208C22×C8—731no—
1209C22×C8—731no—
1210C22×C8C22×D7311yescharacteristic, complemented
1211C4⋊Q8—731no—
1212C4⋊Q8—1461no—
1213C4⋊Q8C22×D7311yescharacteristic, complemented
1214#127—731no—
1215#127—731no—
1216#127—1461no—
1217#126—21no—
1218#126—21no—
1219#126—1461no—
1220#126—1461no—
1221#126—1461no—
1222#126—1461no—
1223#126—1461no—
1224#126—1461no—
1225#125—731no—
1226#125—731no—
1227#125—1461no—
1228#125—1461no—
1229#125—1461no—
1230#124—21no—
1231#124—731no—
1232#124—1461no—
1233#124—1461no—
1234#124—1461no—
1235#124—1461no—
1236#124—1461no—
1237#124—1461no—
1238#124C22×D7311yescharacteristic
1239#123—21no—
1240#123—731no—
1241#123—731no—
1242#123—1461no—
1243#123—1461no—
1244#123—1461no—
1245#123—1461no—
1246#123—1461no—
1247#123—1461no—
1248#123—1461no—
1249#123—1461no—
1250#123—1461no—
1251C22⋊Q8—731no—
1252C22⋊Q8—731no—
1253C22⋊Q8—731no—
1254C22⋊Q8—731no—
1255C22⋊Q8—731no—
1256C22⋊Q8—1461no—
1257C22⋊Q8—1461no—
1258C22⋊Q8—1461no—
1259C22⋊Q8C22×D7311yescharacteristic
1260C22⋊Q8C22×D7311yescharacteristic
1261C22⋊Q8C22×D7311yescharacteristic, complemented
1262#121—21no—
1263#121—731no—
1264#121—731no—
1265#121—731no—
1266#121—731no—
1267#121—731no—
1268#121—731no—
1269#121—731no—
1270#121—731no—
1271#121—731no—
1272#121—731no—
1273#121—731no—
1274#121—1461no—
1275#121—1461no—
1276#121—1461no—
1277#121—1461no—
1278#121—1461no—
1279#121—1461no—
1280#121—1461no—
1281#121—1461no—
1282#121—1461no—
1283#121—1461no—
1284#121—1461no—
1285#121—1461no—
1286#121—1461no—
1287#121—1461no—
1288#121—1461no—
1289#121—1461no—
1290#121C22×D7311yescharacteristic
1291#120—21no—
1292#120—731no—
1293#120—731no—
1294#120—1461no—
1295#120—1461no—
1296#120—1461no—
1297#120—1461no—
1298#120—1461no—
1299#120—1461no—
1300#120—1461no—
1301#120—1461no—
1302#120—1461no—
1303#120—1461no—
1304#120—1461no—
1305#120—1461no—
1306#120—1461no—
1307#120—1461no—
1308#120—1461no—
1309#120—1461no—
1310#120—1461no—
1311C4×Q8—21no—
1312C4×Q8—731no—
1313C4×Q8—1461no—
1314C4×Q8—1461no—
1315C4×Q8C22×D7311yescharacteristic, complemented
1316C4×D4—731no—
1317C4×D4—731no—
1318C4×D4—731no—
1319C4×D4—731no—
1320C4×D4—731no—
1321C4×D4—731no—
1322C4×D4—731no—
1323C4×D4—731no—
1324C4×D4—1461no—
1325C4×D4—1461no—
1326C4×D4—1461no—
1327C4×D4—1461no—
1328C4×D4—1461no—
1329C4×D4—1461no—
1330C4×D4—1461no—
1331C4×D4—1461no—
1332C4×D4—1461no—
1333C4×D4—1461no—
1334C4×D4—1461no—
1335C4×D4—1461no—
1336C4×D4—1461no—
1337C4×D4C22×D7311yescharacteristic
1338C4×D4C22×D7311yescharacteristic
1339#117—731no—
1340#117—731no—
1341#117—731no—
1342#117—731no—
1343#117—731no—
1344#117—731no—
1345#117—731no—
1346#117—1461no—
1347#117—1461no—
1348#117—1461no—
1349#117—1461no—
1350#117—1461no—
1351#117—1461no—
1352#117—1461no—
1353#117C22×D7311yescharacteristic
1354#117C22×D7311yescharacteristic, complemented
1355C2×C4⋊C4—731no—
1356C2×C4⋊C4—731no—
1357C2×C4⋊C4—731no—
1358C2×C4⋊C4—731no—
1359C2×C4⋊C4—1461no—
1360C2×C22⋊C4—21no—
1361C2×C22⋊C4—1461no—
1362C2×C22⋊C4—1461no—
1363C2×C22⋊C4—1461no—
1364C2×C22⋊C4—1461no—
1365C2×C22⋊C4—1461no—
1366C2×C22⋊C4—1461no—
1367C2×C42—1461no—
1368#107—731no—
1369#107—731no—
1370#107—731no—
1371#107—731no—
1372#107—731no—
1373#107C22×D7311yescharacteristic, complemented
1374#106—731no—
1375#106—731no—
1376#106—731no—
1377#106—731no—
1378#106C22×D7311yescharacteristic, complemented
1379#106C22×D7311yescharacteristic, complemented
1380C4⋊C8—731no—
1381C4⋊C8—731no—
1382C4⋊C8—731no—
1383C4⋊C8C22×D7311yescharacteristic, complemented
1384#103—731no—
1385#103—731no—
1386#103—731no—
1387#103—731no—
1388#103C22×D7311yescharacteristic, complemented
1389#103C22×D7311yescharacteristic, complemented
1390#103C22×D7311yescharacteristic, complemented
1391#103C22×D7311yescharacteristic, complemented
1392#102—731no—
1393#102—731no—
1394#102—731no—
1395#102—731no—
1396#102—731no—
1397#102—731no—
1398#102—731no—
1399#102—731no—
1400#102—731no—
1401#102—731no—
1402#102—731no—
1403#102—731no—
1404#102—731no—
1405#102—731no—
1406#102—731no—
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#102C22×D7311yescharacteristic
1419#102C22×D7311yescharacteristic
1420#102C22×D7311yescharacteristic
1421#102C22×D7311yescharacteristic
1422#102C22×D7311yescharacteristic
1423#102C22×D7311yescharacteristic
1424C22⋊C8—731no—
1425C22⋊C8—731no—
1426C22⋊C8—731no—
1427C22⋊C8—731no—
1428C22⋊C8—731no—
1429C22⋊C8—731no—
1430C22⋊C8C22×D7311yescharacteristic
1431C22⋊C8C22×D7311yescharacteristic, complemented
1432#97—731no—
1433#97C22×D7311yescharacteristic, complemented
1434C4×C8—731no—
1435C4×C8—731no—
1436C24—21no—
1437C24—2924no—
1438C24—5842no—
1439C24—5842no—
1440C24—731no—
1441C24—1461no—
1442C24—1461no—
1443C24—1461no—
1444C24—1461no—
1445C24—1461no—
1446C24—1461no—
1447C24—1461no—
1448#41—22no—
1449#41—41no—
1450#41—2924no—
1451#41—2921no—
1452#41—1462no—
1453#41—1462no—
1454#41—1462no—
1455#41—1462no—
1456#41—1462no—
1457#41—1462no—
1458#41—1462no—
1459C2×Q8—21no—
1460C2×Q8—731no—
1461C2×Q8—1461no—
1462C2×Q8C23×D7311yescharacteristic
1463C2×Q8C23×D7311yescharacteristic
1464C2×D4—22no—
1465C2×D4—21no—
1466C2×D4—21no—
1467C2×D4—21no—
1468C2×D4—41no—
1469C2×D4—2921no—
1470C2×D4—2921no—
1471C2×D4—2924no—
1472C2×D4—2924no—
1473C2×D4—2924no—
1474C2×D4—2921no—
1475C2×D4—2921no—
1476C2×D4—2921no—
1477C2×D4—2924no—
1478C2×D4—2924no—
1479C2×D4—2924no—
1480C2×D4—5842no—
1481C2×D4—5842no—
1482C2×D4—5842no—
1483C2×D4—5842no—
1484C2×D4—731no—
1485C2×D4—731no—
1486C2×D4—734no—
1487C2×D4—731no—
1488C2×D4—731no—
1489C2×D4—731no—
1490C2×D4—731no—
1491C2×D4—731no—
1492C2×D4—731no—
1493C2×D4—731no—
1494C2×D4—731no—
1495C2×D4—1461no—
1496C2×D4—1461no—
1497C2×D4—1461no—
1498C2×D4—1461no—
1499C2×D4—1462no—
1500C2×D4—1462no—
1501C2×D4—1461no—
1502C2×D4—1461no—
1503C2×D4—1461no—
1504C2×D4—1462no—
1505C2×D4—1462no—
1506C2×D4—1462no—
1507C2×D4—1461no—
1508C2×D4—1461no—
1509C2×D4—1461no—
1510C2×D4—1461no—
1511C2×D4—1461no—
1512C2×D4—1461no—
1513C2×D4—1461no—
1514C2×D4—1462no—
1515C2×D4—1461no—
1516C2×D4—1462no—
1517C2×D4—1462no—
1518C2×D4—1461no—
1519C2×D4—1461no—
1520C2×D4—1461no—
1521C2×D4—1461no—
1522C2×D4—1461no—
1523C2×D4—1461no—
1524C2×D4—1461no—
1525C2×D4—1461no—
1526C2×D4D4×D7311yescharacteristic
1527C2×D4C23×D7311yescharacteristic
1528C2×D4C23×D7311yescharacteristic
1529C22×C4—21no—
1530C22×C4—21no—
1531C22×C4—731no—
1532C22×C4—731no—
1533C22×C4—731no—
1534C22×C4—731no—
1535C22×C4—731no—
1536C22×C4—731no—
1537C22×C4—1461no—
1538C22×C4—1461no—
1539C22×C4—1461no—
1540C22×C4—1461no—
1541C22×C4—1461no—
1542C22×C4—1461no—
1543C22×C4—1461no—
1544C22×C4—1461no—
1545C22×C4—1462no—
1546C22×C4—1462no—
1547C22×C4—1461no—
1548C22×C4—1461no—
1549C22×C4—1461no—
1550C22×C4—1461no—
1551C22×C4C23×D7311yescharacteristic
1552C22×C4C23×D7311yescharacteristic
1553Q16—41no—
1554SD16—22no—
1555SD16—41no—
1556SD16—2921no—
1557SD16—2921no—
1558SD16—2921no—
1559SD16—1462no—
1560D8—2921no—
1561D8—2921no—
1562D8—2921no—
1563D8—1462no—
1564D8—1462no—
1565M16—41no—
1566M16—2921no—
1567M16—2921no—
1568M16—2921no—
1569M16—2921no—
1570M16—2921no—
1571M16—1462no—
1572M16—1462no—
1573C2×C8—41no—
1574C2×C8—2921no—
1575C2×C8—731no—
1576C2×C8—731no—
1577C2×C8—731no—
1578C2×C8—731no—
1579C2×C8—1462no—
1580C2×C8—1462no—
1581C2×C8C23×D7311yescharacteristic
1582C2×C8C23×D7311yescharacteristic
1583C2×C8C23×D7311yescharacteristic
1584C2×C8C23×D7311yescharacteristic
1585C4⋊C4—21no—
1586C4⋊C4—21no—
1587C4⋊C4—21no—
1588C4⋊C4—21no—
1589C4⋊C4—21no—
1590C4⋊C4—731no—
1591C4⋊C4—731no—
1592C4⋊C4—731no—
1593C4⋊C4—731no—
1594C4⋊C4—731no—
1595C4⋊C4—731no—
1596C4⋊C4—731no—
1597C4⋊C4—731no—
1598C4⋊C4—731no—
1599C4⋊C4—1461no—
1600C4⋊C4—1461no—
1601C4⋊C4—1461no—
1602C4⋊C4—1461no—
1603C4⋊C4—1461no—
1604C4⋊C4—1461no—
1605C4⋊C4—1461no—
1606C4⋊C4—1461no—
1607C4⋊C4—1461no—
1608C4⋊C4—1461no—
1609C4⋊C4—1461no—
1610C4⋊C4—1461no—
1611C4⋊C4—1461no—
1612C4⋊C4D4×D7311yescharacteristic
1613C4⋊C4C23×D7311yescharacteristic
1614C4⋊C4C23×D7311yescharacteristic
1615C4⋊C4C23×D7311yescharacteristic
1616C4⋊C4C23×D7311yescharacteristic
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—21no—
1622C22⋊C4—21no—
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—731no—
1627C22⋊C4—731no—
1628C22⋊C4—731no—
1629C22⋊C4—731no—
1630C22⋊C4—731no—
1631C22⋊C4—731no—
1632C22⋊C4—731no—
1633C22⋊C4—731no—
1634C22⋊C4—1461no—
1635C22⋊C4—1461no—
1636C22⋊C4—1461no—
1637C22⋊C4—1461no—
1638C22⋊C4—1461no—
1639C22⋊C4—1461no—
1640C22⋊C4—1461no—
1641C22⋊C4—1461no—
1642C22⋊C4—1461no—
1643C22⋊C4—1461no—
1644C22⋊C4—1461no—
1645C22⋊C4—1461no—
1646C22⋊C4—1461no—
1647C22⋊C4—1461no—
1648C22⋊C4—1461no—
1649C22⋊C4—1461no—
1650C22⋊C4—1461no—
1651C22⋊C4—1461no—
1652C22⋊C4—1461no—
1653C22⋊C4—1461no—
1654C22⋊C4—1461no—
1655C22⋊C4—1461no—
1656C22⋊C4—1461no—
1657C22⋊C4—1461no—
1658C22⋊C4—1461no—
1659C22⋊C4D4×D7311yescharacteristic
1660C22⋊C4D4×D7311yescharacteristic
1661C42—21no—
1662C42—21no—
1663C42—21no—
1664C42—731no—
1665C42—1461no—
1666C42—1461no—
1667C42—1461no—
1668C42—1461no—
1669C42—1461no—
1670C42—1461no—
1671C42—1461no—
1672C42C23×D7311yescharacteristic
1673C23—21no—
1674C23—21no—
1675C23—42no—
1676C23—42no—
1677C23—81no—
1678C23—2921no—
1679C23—2921no—
1680C23—2922no—
1681C23—2922no—
1682C23—2922no—
1683C23—2922no—
1684C23—2922no—
1685C23—2922no—
1686C23—2922no—
1687C23—2922no—
1688C23—2922no—
1689C23—5841no—
1690C23—5841no—
1691C23—5841no—
1692C23—5841no—
1693C23—5841no—
1694C23—5841no—
1695C23—5841no—
1696C23—5841no—
1697C23—5841no—
1698C23—5841no—
1699C23—5841no—
1700C23—58416no—
1701C23—731no—
1702C23—731no—
1703C23—731no—
1704C23—1462no—
1705C23—1464no—
1706C23—1461no—
1707C23—1461no—
1708C23—1461no—
1709C23—1461no—
1710C23C2×D4×D7311yescharacteristic
1711C23C2×D4×D7311yescharacteristic
1712Q8—21no—
1713Q8—21no—
1714Q8—21no—
1715Q8—21no—
1716Q8—81no—
1717Q8—5841no—
1718Q8—1462no—
1719D4—21no—
1720D4—21no—
1721D4—21no—
1722D4—41no—
1723D4—42no—
1724D4—42no—
1725D4—81no—
1726D4—2922no—
1727D4—2922no—
1728D4—2921no—
1729D4—2922no—
1730D4—2922no—
1731D4—2922no—
1732D4—2922no—
1733D4—2922no—
1734D4—2922no—
1735D4—2922no—
1736D4—2922no—
1737D4—2921no—
1738D4—2921no—
1739D4—2922no—
1740D4—5841no—
1741D4—5841no—
1742D4—5841no—
1743D4—5841no—
1744D4—5841no—
1745D4—5841no—
1746D4—5841no—
1747D4—5841no—
1748D4—5841no—
1749D4—5841no—
1750D4—5841no—
1751D4—732no—
1752D4—1462no—
1753D4—1464no—
1754D4—1462no—
1755D4—1462no—
1756D4—1461no—
1757D4—1461no—
1758D4—1461no—
1759D4—1461no—
1760D4—1461no—
1761D4—1461no—
1762D4—1461no—
1763D4#41×D7312yes—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—42no—
1775C2×C4—81no—
1776C2×C4—2922no—
1777C2×C4—2922no—
1778C2×C4—2922no—
1779C2×C4—5841no—
1780C2×C4—5841no—
1781C2×C4—5841no—
1782C2×C4—5841no—
1783C2×C4—5841no—
1784C2×C4—5841no—
1785C2×C4—5841no—
1786C2×C4—5841no—
1787C2×C4—5841no—
1788C2×C4—731no—
1789C2×C4—732no—
1790C2×C4—732no—
1791C2×C4—731no—
1792C2×C4—731no—
1793C2×C4—731no—
1794C2×C4—731no—
1795C2×C4—1462no—
1796C2×C4—1462no—
1797C2×C4—1461no—
1798C2×C4—1461no—
1799C2×C4—1461no—
1800C2×C4—1461no—
1801C2×C4—1462no—
1802C2×C4—1461no—
1803C2×C4—1461no—
1804C2×C4—1461no—
1805C2×C4—1461no—
1806C2×C4C2×D4×D7311yescharacteristic
1807C2×C4C2×D4×D7311yescharacteristic
1808C2×C4C2×D4×D7311yescharacteristic
1809C2×C4C2×D4×D7311yescharacteristic
1810C2×C4C24×D7311yescharacteristic
1811C8—21no—
1812C8—21no—
1813C8—21no—
1814C8—21no—
1815C8—1461no—
1816C8—1461no—
1817C8—1461no—
1818C8—1461no—
1819C22—21no—
1820C22—21no—
1821C22—22no—
1822C22—21no—
1823C22—21no—
1824C22—21no—
1825C22—21no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—84no—
1832C22—2924no—
1833C22—2921no—
1834C22—2921no—
1835C22—2921no—
1836C22—2921no—
1837C22—2921no—
1838C22—2921no—
1839C22—2921no—
1840C22—2921no—
1841C22—2921no—
1842C22—2921no—
1843C22—2921no—
1844C22—5844no—
1845C22—5844no—
1846C22—5844no—
1847C22—5844no—
1848C22—5844no—
1849C22—732no—
1850C22—11682no—
1851C22—11682no—
1852C22—1462no—
1853C22—1461no—
1854C22—1461no—
1855C22—1461no—
1856C22—1461no—
1857C22—1461no—
1858C22—1461no—
1859C22—1461no—
1860C22—1461no—
1861C22C22×D4×D7311yescharacteristic
1862C4—21no—
1863C4—21no—
1864C4—21no—
1865C4—21no—
1866C4—41no—
1867C4—41no—
1868C4—41no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—2921no—
1873C4—2921no—
1874C4—2921no—
1875C4—2921no—
1876C4—732no—
1877C4—1461no—
1878C4—1461no—
1879C4—1461no—
1880C4—1461no—
1881C4C2×#41×D7311yescharacteristic
1882C4H(5,𝔽2)×D7311yescharacteristic
1883C2—41no—
1884C2—41no—
1885C2—42no—
1886C2—81no—
1887C2—2921no—
1888C2—2922no—
1889C2—2921no—
1890C2—5841no—
1891C2—5841no—
1892C2—5841no—
1893C2—1462no—
1894C2#546×D7311yescharacteristic
1895C2#2262470811yescharacteristic
1896C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3311C2
socleC22×C73C23×D4
hypercenter#3311D73
hypocenterC73#61175
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3311

Complements

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

NH ≅ G/Ntype
1. #22623645C2semidirect
2. #22623561C2semidirect
3. #22622171C2semidirect
4. #22622170C2semidirect
5. #22622156C2semidirect
6. #22622155C2semidirect
7. #22622154C2semidirect
8. #22622140C2semidirect
9. #22622132C2semidirect
10. #22622130C2semidirect
11. #22622086C2semidirect
12. #22622083C2semidirect
13. #22622074C2semidirect
14. #22622073C2semidirect
15. #22621962C2semidirect
16. #22621958C2semidirect
17. #22621957C2semidirect
18. #22620282C2semidirect
19. #22619884C2semidirect
20. #22619863C2semidirect
21. #22619757C2semidirect
22. #22619604C2semidirect
23. #22619542C2semidirect
24. #22619473C2semidirect
25. #22619239C2semidirect
26. #22619159C2semidirect
27. #22618762C2semidirect
28. #22618629C2semidirect
29. #22618453C2semidirect
30. #418×D73C2semidirect
31. C73×#3311C2semidirect
35. C2×#14556618C22semidirect
36. C2×#14556614C22semidirect
37. C2×#14556597C22semidirect
38. C2×M16×D73C22semidirect
40. #17989308C22semidirect
41. #17989303C22semidirect
42. #17989300C22semidirect
45. #17989283C22semidirect
46. #17989281C22semidirect
47. #17989279C22semidirect
48. #17989278C22semidirect
61. #17989214C22semidirect
64. #17989167C22semidirect
72. #17989100C22semidirect
76. #17989069C22semidirect
77. #17989067C22semidirect
79. #117×D73C22semidirect
80. #17988952C22semidirect
81. #17988950C22semidirect
82. #17988948C22semidirect
83. #17988943C22semidirect
84. #17988941C22semidirect
85. #17988935C22semidirect
86. #17988932C22semidirect
87. #17988927C22semidirect
88. #17988926C22semidirect
89. #17988925C22semidirect
90. #17988914C22semidirect
91. #17988913C22semidirect
92. #17988913C22semidirect
93. #17988912C22semidirect
94. #17988911C22semidirect
95. #17988911C22semidirect
96. #17988910C22semidirect
97. #17988906C22semidirect
98. #17988904C22semidirect
99. #17988902C22semidirect
100. #17988898C22semidirect
101. #17988889C22semidirect
102. #17988888C22semidirect
103. #17988887C22semidirect
104. #17988886C22semidirect
105. #17988876C22semidirect
106. #17988865C22semidirect
107. #17988864C22semidirect
108. #17988842C22semidirect
109. #17988841C22semidirect
110. #17988841C22semidirect
111. #17988840C22semidirect
112. #17988838C22semidirect
113. #17988836C22semidirect
114. #17988836C22semidirect
115. #17988835C22semidirect
116. #17988835C22semidirect
117. #17988835C22semidirect
118. #17988830C22semidirect
119. #17988823C22semidirect
120. #17988822C22semidirect
121. #17988819C22semidirect
122. #17988811C22semidirect
123. #17988805C22semidirect
124. #17988799C22semidirect
125. #17988787C22semidirect
126. #17988785C22semidirect
127. #17988783C22semidirect
128. #17988781C22semidirect
129. #17988748C22semidirect
130. #17988737C22semidirect
131. #17988737C22semidirect
132. #17988736C22semidirect
133. #17988736C22semidirect
134. #17988736C22semidirect
135. #17988735C22semidirect
136. #17988732C22semidirect
137. #17988723C22semidirect
138. #17988723C22semidirect
139. #17988722C22semidirect
140. #17988722C22semidirect
141. #17988722C22semidirect
142. #17988721C22semidirect
143. #17988700C22semidirect
144. #17988696C22semidirect
145. #17988690C22semidirect
146. SD16×Dic73C22semidirect
147. C4×#11924015C22semidirect
148. #17988669C22semidirect
149. C4×#11924013C22semidirect
150. #17988665C22semidirect
151. #17988664C22semidirect
152. #17988662C22semidirect
153. #17988662C22semidirect
154. #17988660C22semidirect
155. #17988658C22semidirect
156. #17988656C22semidirect
157. #17988628C22semidirect
158. #17988626C22semidirect
159. #17988622C22semidirect
160. #17988612C22semidirect
161. #17988593C22semidirect
162. #17988592C22semidirect
163. #17988591C22semidirect
164. #17988591C22semidirect
166. #17988590C22semidirect
167. #17988590C22semidirect
168. #17988590C22semidirect
169. #17988590C22semidirect
170. #17988590C22semidirect
171. #17988590C22semidirect
172. #17988588C22semidirect
173. #17988587C22semidirect
174. #17988587C22semidirect
175. #17988587C22semidirect
176. #17988582C22semidirect
177. #17988582C22semidirect
178. #17988582C22semidirect
179. C2×#14556513C22semidirect
182. #102×D73C22semidirect
183. #102×D73C22semidirect
184. #102×D73C22semidirect
185. #17988552C22semidirect
186. #17988549C22semidirect
187. #17988544C22semidirect
188. #556×C73C22semidirect
190. #489×C73C22semidirect
191. #485×C73C22semidirect
192. #482×C73C22semidirect
193. #476×C73C22semidirect
194. #470×C73C22semidirect
195. #465×C73C22semidirect
196. #464×C73C22semidirect
197. #452×C73C22semidirect
198. #450×C73C22semidirect
199. #440×C73C22semidirect
200. #435×C73C22semidirect
201. #418×C73C22semidirect
202. #416×C73C22semidirect
236. C2×#11924015C23semidirect
237. C2×#11924015C23semidirect
240. C2×D584C23semidirect
245. C2×#11924012C23semidirect
250. C2×#11924011C23semidirect
254. C2×C8×D73C23semidirect
255. #14556590C23semidirect
266. #14556583C23semidirect
268. #14556582C23semidirect
296. #14556567C23semidirect
304. #14556566C23semidirect
309. #14556565C23semidirect
343. Q8×Dic73C23semidirect
351. C4×D292C23semidirect
357. #14556553C23semidirect
373. #14556549C23semidirect
381. C2×C4⋊Dic73C23semidirect
385. C4⋊C4×D73C23semidirect
393. #14556525C23semidirect
394. #14556524C23semidirect
395. #14556524C23semidirect
396. #14556524C23semidirect
397. #14556524C23semidirect
398. #14556523C23semidirect
399. #14556523C23semidirect
400. #14556522C23semidirect
401. #14556522C23semidirect
402. C4⋊#10596831C23semidirect
403. #14556520C23semidirect
404. #14556520C23semidirect
405. #14556515C23semidirect
406. #14556515C23semidirect
407. #14556515C23semidirect
408. #14556515C23semidirect
415. #14556513C23semidirect
416. #14556513C23semidirect
417. #14556513C23semidirect
418. #14556513C23semidirect
431. #14556511C23semidirect
432. #14556511C23semidirect
433. #14556511C23semidirect
434. #14556511C23semidirect
436. C22⋊#10596831C23semidirect
439. #14556503C23semidirect
440. #14556503C23semidirect
441. #14556501C23semidirect
442. C4×#10596831C23semidirect
443. C8×Dic73C23semidirect
446. C2×Q16×C73C23semidirect
450. C22×C8×C73C23semidirect
451. C4⋊Q8×C73C23semidirect
459. C22⋊Q8×C73C23semidirect
464. C4×Q8×C73C23semidirect
468. #117×C73C23semidirect
470. #107×C73C23semidirect
471. #106×C73C23semidirect
472. #106×C73C23semidirect
473. C4⋊C8×C73C23semidirect
474. #103×C73C23semidirect
475. #103×C73C23semidirect
476. #103×C73C23semidirect
477. #103×C73C23semidirect
485. C22⋊C8×C73C23semidirect
486. #97×C73C23semidirect
964. #3311D73semidirect
980. C73#61175semidirect
990. #556C2×D73semidirect
1034. #489C2×D73semidirect
1042. #485C2×D73semidirect
1050. #482C2×D73semidirect
1060. #476C2×D73semidirect
1064. #470C2×D73semidirect
1078. #465C2×D73semidirect
1080. #464C2×D73semidirect
1088. #452C2×D73semidirect
1094. #450C2×D73semidirect
1106. #440C2×D73semidirect
1118. #435C2×D73semidirect
1134. #418C2×D73semidirect
1142. #416C2×D73semidirect
1185. C2×Q16C22×D73semidirect
1210. C22×C8C22×D73semidirect
1213. C4⋊Q8C22×D73semidirect
1261. C22⋊Q8C22×D73semidirect
1315. C4×Q8C22×D73semidirect
1354. #117C22×D73semidirect
1373. #107C22×D73semidirect
1378. #106C22×D73semidirect
1379. #106C22×D73semidirect
1383. C4⋊C8C22×D73semidirect
1388. #103C22×D73semidirect
1389. #103C22×D73semidirect
1390. #103C22×D73semidirect
1391. #103C22×D73semidirect
1431. C22⋊C8C22×D73semidirect
1433. #97C22×D73semidirect

Maximal subgroups

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

subgroupindex
#226236452
#226235612
#226221712
#226221702
#226221562
#226221552
#226221542
#226221402
#226221322
#226221302
#226220862
#226220832
#226220742
#226220732
#226219622
#226219582
#226219572
#226202822
#226198842
#226198632
#226197572
#226196042
#226195422
#226194732
#226192392
#226191592
#226187622
#226186292
#226184532
#418×D732
C73×#33112
#6117573