Finite Group Databasebeta

← #33978326

Subgroups — #33978326

Order 18688.

2178 conjugacy classes of subgroups.

The subgroup lattice has 1892 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623799C211yesmaximal, characteristic, complemented
2#22623418C211yesmaximal, characteristic, complemented
3#22622974C211yesmaximal, characteristic, complemented
4#22622968C211yesmaximal, characteristic, complemented
5#22622726C211yesmaximal, characteristic, complemented
6#22622720C211yesmaximal, characteristic, complemented
7#22622256C211yesmaximal, characteristic, complemented
8#22622254C211yesmaximal, characteristic, complemented
9#22621890C211yesmaximal, characteristic, complemented
10#22621888C211yesmaximal, characteristic, complemented
11#22621886C211yesmaximal, characteristic, complemented
12#22621548C211yesmaximal, characteristic, complemented
13#22621544C211yesmaximal, characteristic, complemented
14#22621416C211yesmaximal, characteristic, complemented
15#22621412C211yesmaximal, characteristic, complemented
16#22621408C211yesmaximal, characteristic, complemented
17#22621404C211yesmaximal, characteristic, complemented
18#22621311C211yesmaximal, characteristic, complemented
19#22621308C211yesmaximal, characteristic, complemented
20#22621242C211yesmaximal, characteristic, complemented
21#22620927C211yesmaximal, characteristic, complemented
22#22620923C211yesmaximal, characteristic, complemented
23#22620847C211yesmaximal, characteristic, complemented
24#22620020C211yesmaximal, characteristic, complemented
25#22620019C211yesmaximal, characteristic, complemented
26#22619936C211yesmaximal, characteristic, complemented
27#22619394C211yesmaximal, characteristic, complemented
28#22619393C211yesmaximal, characteristic, complemented
29C2×#17988781C211yesmaximal, characteristic, complemented
30#22619043C211yesmaximal, characteristic, complemented
31C73×#3306C211yesmaximal, characteristic, complemented
32C2×#41×D73—21no—
33C2×#14556619C2211yescharacteristic, complemented
34C2×#14556618C2211yescharacteristic, complemented
35C2×#14556616C2211yescharacteristic, complemented
36C2×#14556615C2211yescharacteristic, complemented
37C22×D584C2211yescharacteristic
38C22×#11924013C2211yescharacteristic
39#17989321—21no—
40#17989320C2211yescharacteristic, complemented
41#17989319C2211yescharacteristic, complemented
42#17989258C2211yescharacteristic, complemented
43#17989256C2211yescharacteristic, complemented
44#17989255—21no—
45#17989255C2211yescharacteristic, complemented
46#17989252C2211yescharacteristic, complemented
47#17989247—21no—
48#17989238C2211yescharacteristic
49#17989238C2211yescharacteristic, complemented
50#17989233C2211yescharacteristic, complemented
51#17989231C2211yescharacteristic, complemented
52#17989229—21no—
53#17989229—21no—
54#17989228C2211yescharacteristic, complemented
55#17989227—21no—
56#17989225—21no—
57#17989224—21no—
58D4×D292C2211yescharacteristic
59#17989221C2211yescharacteristic
60#17989221C2211yescharacteristic, complemented
61#17989189—21no—
62#17989187—21no—
63#17989152—21no—
64#17989139C2211yescharacteristic, complemented
65#17989138C2211yescharacteristic, complemented
66#17989136C2211yescharacteristic, complemented
67#17989134C2211yescharacteristic, complemented
68#17989133C2211yescharacteristic, complemented
69#17989132C2211yescharacteristic
70#17989132C2211yescharacteristic, complemented
71#17989132C2211yescharacteristic, complemented
72C2×#14556587C2211yescharacteristic, complemented
73#17989100—21no—
74#17989095—21no—
75#17989095—21no—
76#17989060—21no—
77C4×#11924027C2211yescharacteristic
78C2×#14556553C2211yescharacteristic
79C2×#14556553C2211yescharacteristic, complemented
80C4×D4×D73C2211yescharacteristic, complemented
81#17988977C2211yescharacteristic, complemented
82#17988976C2211yescharacteristic, complemented
83#17988975C2211yescharacteristic, complemented
84#17988973C2211yescharacteristic, complemented
85#17988962C2211yescharacteristic, complemented
86#17988962C2211yescharacteristic, complemented
87#17988949C2211yescharacteristic, complemented
88#17988948C2211yescharacteristic, complemented
89#17988945C2211yescharacteristic, complemented
90#17988932C2211yescharacteristic, complemented
91#17988932C2211yescharacteristic, complemented
92#17988917C2211yescharacteristic, complemented
93#17988907C2211yescharacteristic, complemented
94#17988905C2211yescharacteristic, complemented
95#17988904C2211yescharacteristic, complemented
96#17988876C2211yescharacteristic, complemented
97#17988876C2211yescharacteristic, complemented
98#17988876C2211yescharacteristic, complemented
99#17988876C2211yescharacteristic, complemented
100#17988875C2211yescharacteristic, complemented
101#17988875C2211yescharacteristic, complemented
102#17988874C2211yescharacteristic, complemented
103#17988871C2211yescharacteristic, complemented
104#17988870C2211yescharacteristic, complemented
105#17988841C2211yescharacteristic, complemented
106#17988841C2211yescharacteristic, complemented
107#17988840C2211yescharacteristic, complemented
108#17988839C2211yescharacteristic, complemented
109#17988839C2211yescharacteristic, complemented
110#17988838C2211yescharacteristic, complemented
111#17988838C2211yescharacteristic, complemented
112#17988818C2211yescharacteristic, complemented
113#17988816C2211yescharacteristic, complemented
114#17988814C2211yescharacteristic, complemented
115#17988805C2211yescharacteristic, complemented
116#17988805C2211yescharacteristic, complemented
117#17988803C2211yescharacteristic, complemented
118#17988802C2211yescharacteristic, complemented
119#17988801C2211yescharacteristic, complemented
120#17988801C2211yescharacteristic, complemented
121#17988799C2211yescharacteristic, complemented
122#17988791C2211yescharacteristic, complemented
123#17988791C2211yescharacteristic, complemented
124#17988791C2211yescharacteristic, complemented
125#17988790C2211yescharacteristic, complemented
126#17988786C2211yescharacteristic, complemented
127#17988785C2211yescharacteristic, complemented
128#17988783C2211yescharacteristic, complemented
129#17988782C2211yescharacteristic, complemented
130#17988781C2211yescharacteristic
131#17988781C2211yescharacteristic
132#17988781C2211yescharacteristic
133#17988781C2211yescharacteristic
134#17988781C2211yescharacteristic, complemented
135#17988781C2211yescharacteristic, complemented
136#17988781C2211yescharacteristic, complemented
137#17988781C2211yescharacteristic, complemented
138#17988781C2211yescharacteristic, complemented
139#17988781C2211yescharacteristic, complemented
140#17988781C2211yescharacteristic, complemented
141#17988780C2211yescharacteristic, complemented
142#17988780C2211yescharacteristic, complemented
143#17988780C2211yescharacteristic, complemented
144#17988740C2211yescharacteristic
145#17988737C2211yescharacteristic
146#17988735C2211yescharacteristic, complemented
147#17988735C2211yescharacteristic, complemented
148#17988734C2211yescharacteristic, complemented
149#17988733C2211yescharacteristic, complemented
150#17988733C2211yescharacteristic, complemented
151#17988732C2211yescharacteristic, complemented
152#17988730C2211yescharacteristic, complemented
153#17988723C2211yescharacteristic, complemented
154#17988723C2211yescharacteristic, complemented
155#17988722C2211yescharacteristic, complemented
156#17988721C2211yescharacteristic, complemented
157#17988720C2211yescharacteristic, complemented
158#17988720C2211yescharacteristic, complemented
159#17988719C2211yescharacteristic, complemented
160#17988716C2211yescharacteristic, complemented
161#17988715C2211yescharacteristic, complemented
162#17988700C2211yescharacteristic, complemented
163#17988698C2211yescharacteristic, complemented
164#17988698C2211yescharacteristic, complemented
165#17988697C2211yescharacteristic, complemented
166#17988697C2211yescharacteristic, complemented
167#17988696C2211yescharacteristic, complemented
168#17988696C2211yescharacteristic, complemented
169#17988674C2211yescharacteristic, complemented
170#17988674C2211yescharacteristic, complemented
171#17988672C2211yescharacteristic, complemented
172#17988672C2211yescharacteristic, complemented
173#17988663C2211yescharacteristic, complemented
174#17988662C2211yescharacteristic, complemented
175#17988659C2211yescharacteristic, complemented
176#17988658C2211yescharacteristic, complemented
177#17988655C2211yescharacteristic, complemented
178#17988642C2211yescharacteristic, complemented
179#17988641C2211yescharacteristic, complemented
180#17988637C2211yescharacteristic, complemented
181#17988610C2211yescharacteristic, complemented
182#17988609C2211yescharacteristic, complemented
183C2×#14556520C2211yescharacteristic, complemented
184#17988587C2211yescharacteristic, complemented
185#17988586C2211yescharacteristic, complemented
186#17988585C2211yescharacteristic, complemented
187C2×#14556511C2211yescharacteristic, complemented
188#547×C73C2211yescharacteristic
189#546×C73C2211yescharacteristic, complemented
190#489×C73C2211yescharacteristic, complemented
191#483×C73C2211yescharacteristic, complemented
192#481×C73C2211yescharacteristic, complemented
193#476×C73C2211yescharacteristic, complemented
194#469×C73C2211yescharacteristic, complemented
195#465×C73C2211yescharacteristic, complemented
196#463×C73C2211yescharacteristic, complemented
197#449×C73C2211yescharacteristic, complemented
198#447×C73C2211yescharacteristic, complemented
199#442×C73C2211yescharacteristic, complemented
200#435×C73C2211yescharacteristic, complemented
201#417×C73C2211yescharacteristic, complemented
202C2×#102×C73C2211yescharacteristic, complemented
203C2×#11924029—21no—
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×#11924028—21no—
207C2×#11924028—21no—
208C2×#11924028—21no—
209C2×#11924028C2311yescharacteristic
210C2×#11924027—21no—
211C2×#11924027—21no—
212C2×#11924027—21no—
213C2×#11924027D411yescharacteristic
214C2×#11924027C2311yescharacteristic
215#41×D73—48no—
216C2×Q8×D73—21no—
217C22×D292C2311yescharacteristic
218C22×D292C2311yescharacteristic
219C22×D292C2311yescharacteristic
220C22×C22⋊D73—21no—
221C22×C22⋊D73—21no—
222C2×D4×D73—21no—
223C2×D4×D73—21no—
224C2×D4×D73—21no—
225C2×D4×D73C2311yescharacteristic
226C22×C4×D73—21no—
227C22×C4×D73—21no—
228C22×C4×D73—21no—
229#14556619—42no—
230#14556618—42no—
231#14556616—42no—
232#14556615—42no—
233C2×#11924017C2311yescharacteristic
234C2×#11924017C2311yescharacteristic
235C2×#11924017C2311yescharacteristic
236C2×#11924016C2311yescharacteristic
237C2×#11924015C2311yescharacteristic
238C2×#11924015C2311yescharacteristic
239C2×#11924015C2311yescharacteristic
240C2×D584—42no—
241C2×D584C2311yescharacteristic
242C2×D584C2311yescharacteristic
243C2×D584C2311yescharacteristic
244C2×D584C2311yescharacteristic
245C2×D584C2311yescharacteristic
246C2×D584C2311yescharacteristic
247C2×#11924013—42no—
248C2×#11924013C2311yescharacteristic
249C2×#11924013C2311yescharacteristic
250C2×#11924013C2311yescharacteristic
251C2×#11924013C2311yescharacteristic
252C2×#11924013C2311yescharacteristic
253C2×#11924013C2311yescharacteristic
254C2×#11924013C2311yescharacteristic
255C2×#11924013C2311yescharacteristic
256C2×#11924012C2311yescharacteristic
257C2×#11924011C2311yescharacteristic
258C2×#11924011C2311yescharacteristic
259C22×#10596831C2311yescharacteristic
260#14556590C2311yescharacteristic
261#14556590C2311yescharacteristic
262#14556590C2311yescharacteristic
263#14556589C2311yescharacteristic
264#14556588C2311yescharacteristic
265#14556587—21no—
266#14556587—21no—
267#14556587—21no—
268#14556587—21no—
269#14556587C2311yescharacteristic
270#14556587C2311yescharacteristic
271#14556587C2311yescharacteristic
272#14556587C2311yescharacteristic
273#14556587C2311yescharacteristic
274#14556587C2311yescharacteristic
275#14556581—21no—
276#14556580—21no—
277#14556580C2311yescharacteristic
278#14556579C2311yescharacteristic
279#14556578C2311yescharacteristic
280#14556577—21no—
281#14556577—21no—
282#14556577—21no—
283#14556577—21no—
284#14556577—21no—
285#14556577—21no—
286#14556576—21no—
287#14556576—21no—
288#14556576—21no—
289#14556576—21no—
290#14556575—21no—
291#14556574—21no—
292#14556574—21no—
293#14556574—21no—
294#14556573—21no—
295#14556573—21no—
296#14556572—21no—
297#14556570C2311yescharacteristic
298#14556569—21no—
299#14556569—21no—
300#14556569—21no—
301#14556569—21no—
302#14556568—21no—
303#14556567—21no—
304#14556566—21no—
305#14556566—21no—
306#14556566—21no—
307#14556566C2311yescharacteristic
308#14556566C2311yescharacteristic
309#14556566C2311yescharacteristic
310#14556565—21no—
311#14556565—21no—
312#14556565C2311yescharacteristic
313#14556565C2311yescharacteristic
314#14556565C2311yescharacteristic
315#14556564—21no—
316#14556564—21no—
317#14556564—21no—
318#14556564—21no—
319#14556564—21no—
320#14556564—21no—
321#14556564—21no—
322#14556564—21no—
323#14556564—21no—
324#14556563—21no—
325#14556563—21no—
326#14556563—21no—
327#14556563—21no—
328#14556563—21no—
329#14556563—21no—
330#14556563—21no—
331#14556562—21no—
332#14556562C2311yescharacteristic
333#14556561—21no—
334#14556561—21no—
335#14556561—21no—
336#14556561—21no—
337#14556561—21no—
338#14556560—21no—
339#14556559—21no—
340#14556559—21no—
341#14556559—21no—
342Q8×Dic73C2311yescharacteristic
343C4×Dic146C2311yescharacteristic
344#14556556—21no—
345#14556556D411yescharacteristic
346#14556556C2311yescharacteristic
347C4×D292C2311yescharacteristic
348C4×D292C2311yescharacteristic
349D4×Dic73D411yescharacteristic
350D4×Dic73C2311yescharacteristic
351D4×Dic73C2311yescharacteristic
352#14556553—21no—
353#14556553—21no—
354#14556553—21no—
355#14556553—21no—
356#14556553—21no—
357#14556553C2311yescharacteristic
358#14556553C2311yescharacteristic
359#14556553C2311yescharacteristic
360#14556553C2311yescharacteristic
361#14556553C2311yescharacteristic
362#14556553C2311yescharacteristic
363#14556553C2311yescharacteristic
364#14556553C2311yescharacteristic
365C4×C22⋊D73—21no—
366C4×C22⋊D73—21no—
367C4×C22⋊D73—21no—
368C4×C22⋊D73—21no—
369C4×C22⋊D73—21no—
370C4×C22⋊D73—21no—
371C4×C22⋊D73C2311yescharacteristic
372C4×C22⋊D73C2311yescharacteristic
373#14556551—21no—
374#14556551—21no—
375#14556551—21no—
376#14556551—21no—
377#14556551—21no—
378#14556551—21no—
379#14556551—21no—
380#14556551—21no—
381#14556551D411yescharacteristic
382#14556551D411yescharacteristic
383#14556549D411yescharacteristic
384#14556547—21no—
385#14556547D411yescharacteristic
386#14556547D411yescharacteristic
387C4⋊C4×D73C2311yescharacteristic
388C2×C22⋊Dic73—21no—
389C2×#11924005—21no—
390C2×#11924005—21no—
391C22⋊C4×D73—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C2×C4×Dic73C2311yescharacteristic
395C2×C4×Dic73C2311yescharacteristic
396C42×D73C2311yescharacteristic
397#14556523C2311yescharacteristic
398#14556522C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401#14556522C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556520C2311yescharacteristic
410#14556520C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556515C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556514C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556513C2311yescharacteristic
419#14556513C2311yescharacteristic
420#14556513C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556511C2311yescharacteristic
428#14556511C2311yescharacteristic
429#14556511C2311yescharacteristic
430#14556511C2311yescharacteristic
431#14556511C2311yescharacteristic
432#14556511C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434C22⋊#10596831C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556502C2311yescharacteristic
438#14556501C2311yescharacteristic
439#14556501C2311yescharacteristic
440C8×Dic73C2311yescharacteristic
441C8×Dic73C2311yescharacteristic
442C2×#41×C73—21no—
443C2×#41×C73C2311yescharacteristic
444C22×D4×C73C2311yescharacteristic
445C2×SD16×C73C2311yescharacteristic
446C2×D8×C73C2311yescharacteristic
447C2×D8×C73C2311yescharacteristic
448C2×M16×C73C2311yescharacteristic
449C22×C8×C73C2311yescharacteristic
450C4⋊Q8×C73C2311yescharacteristic
451#124×C73C2311yescharacteristic
452#123×C73—21no—
453#123×C73—21no—
454#123×C73—21no—
455C22⋊Q8×C73—21no—
456C22⋊Q8×C73C2311yescharacteristic
457#121×C73—21no—
458#121×C73C2311yescharacteristic
459#121×C73C2311yescharacteristic
460#121×C73C2311yescharacteristic
461#120×C73—21no—
462C4×D4×C73C2311yescharacteristic
463C4×D4×C73C2311yescharacteristic
464C4×D4×C73C2311yescharacteristic
465C2×C4⋊C4×C73C2311yescharacteristic
466C2×C4⋊C4×C73C2311yescharacteristic
467C2×C22⋊C4×C73—21no—
468#106×C73C2311yescharacteristic
469#106×C73C2311yescharacteristic
470#106×C73C2311yescharacteristic
471C4⋊C8×C73C2311yescharacteristic
472#103×C73C2311yescharacteristic
473#103×C73C2311yescharacteristic
474#103×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476#102×C73C2311yescharacteristic
477#102×C73C2311yescharacteristic
478#102×C73C2311yescharacteristic
479#102×C73C2311yescharacteristic
480#102×C73C2311yescharacteristic
481#102×C73C2311yescharacteristic
482C22⋊C8×C73C2311yescharacteristic
483C22⋊C8×C73C2311yescharacteristic
484#97×C73C2311yescharacteristic
485C23×D73—21no—
486C23×D73—21no—
487C23×D73—21no—
488C23×D73—21no—
489#11924029—44no—
490#11924029—41no—
491#11924029—41no—
492#11924028—44no—
493#11924028—41no—
494#11924028—41no—
495#11924028—44no—
496#11924028—44no—
497#11924028—82no—
498#11924027—24no—
499#11924027—41no—
500#11924027—41no—
501#11924027—44no—
502#11924027—44no—
503#11924027—82no—
504C2×Dic146—21no—
505C2×Dic146—21no—
506C2×Dic146—21no—
507C2×Dic146C2×D411yescharacteristic
508C2×Dic146C2411yescharacteristic
509Q8×D73—44no—
510C2×D292—22no—
511C2×D292—22no—
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—41no—
522C2×D292—41no—
523C2×D292—41no—
524C2×D292—41no—
525C2×D292C2411yescharacteristic
526C2×D292C2411yescharacteristic
527C2×D292C2411yescharacteristic
528C2×D292C2411yescharacteristic
529C2×D292C2411yescharacteristic
530C2×C22⋊D73—21no—
531C2×C22⋊D73—21no—
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—21no—
545C2×C22⋊D73—21no—
546C2×C22⋊D73—21no—
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—44no—
550C2×C22⋊D73—82no—
551C2×C22⋊D73C2×D411yescharacteristic
552C2×C22⋊D73C2×D411yescharacteristic
553D4×D73—22no—
554D4×D73—41no—
555D4×D73—44no—
556D4×D73—44no—
557D4×D73—44no—
558C22×Dic73—21no—
559C22×Dic73—21no—
560C22×Dic73—21no—
561C22×Dic73C2×D411yescharacteristic
562C22×Dic73C2×D411yescharacteristic
563C22×Dic73C2×D411yescharacteristic
564C22×Dic73C2×D411yescharacteristic
565C2×C4×D73—21no—
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—21no—
578C2×C4×D73—44no—
579C2×C4×D73—44no—
580C2×C4×D73—44no—
581C2×C4×D73C2×D411yescharacteristic
582C2×C4×D73C2×D411yescharacteristic
583C2×C4×D73C2411yescharacteristic
584#11924017—22no—
585#11924017—41no—
586#11924017—41no—
587#11924016—41no—
588#11924015—22no—
589#11924015—41no—
590#11924015—41no—
591D584—22no—
592D584—22no—
593D584—41no—
594D584—41no—
595D584—41no—
596D584—41no—
597#11924013—22no—
598#11924013—22no—
599#11924013—41no—
600#11924013—41no—
601#11924013—41no—
602#11924013—41no—
603#11924013—41no—
604#11924013—41no—
605#11924012—41no—
606#11924011—41no—
607#11924011—41no—
608C2×#10596831—41no—
609C2×#10596831C2411yescharacteristic
610C2×#10596831C2411yescharacteristic
611C2×#10596831C2411yescharacteristic
612C2×#10596831C2411yescharacteristic
613C4⋊Dic73—21no—
614C4⋊Dic73C2×D411yescharacteristic
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#11924007C2×D411yescharacteristic
626#11924007C2×D411yescharacteristic
627#11924007C2×D411yescharacteristic
628#11924007C2×D411yescharacteristic
629C22⋊Dic73—21no—
630C22⋊Dic73—21no—
631C22⋊Dic73—21no—
632C22⋊Dic73—21no—
633C22⋊Dic73—21no—
634C22⋊Dic73—21no—
635C22⋊Dic73C2×D411yescharacteristic
636C22⋊Dic73C2×D411yescharacteristic
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#11924005C2×D411yescharacteristic
658#11924005C2×D411yescharacteristic
659C4×Dic73—21no—
660C4×Dic73—21no—
661C4×Dic73C2×D411yescharacteristic
662C4×Dic73C2×D411yescharacteristic
663C4×Dic73C2×D411yescharacteristic
664C4×Dic73C2×D411yescharacteristic
665C4×Dic73C2×D411yescharacteristic
666C4×Dic73C2×D411yescharacteristic
667C4×Dic73C2411yescharacteristic
668C4×Dic73C2411yescharacteristic
669C4×Dic73C2411yescharacteristic
670C24×C73—21no—
671#41×C73—41no—
672#41×C73—41no—
673#41×C73—44no—
674C2×Q8×C73—21no—
675C2×Q8×C73C2411yescharacteristic
676C2×D4×C73—21no—
677C2×D4×C73—21no—
678C2×D4×C73—21no—
679C2×D4×C73—21no—
680C2×D4×C73—21no—
681C2×D4×C73—41no—
682C2×D4×C73—41no—
683C2×D4×C73C2×D411yescharacteristic
684C2×D4×C73C2411yescharacteristic
685C2×D4×C73C2411yescharacteristic
686C2×D4×C73C2411yescharacteristic
687C22×C4×C73—21no—
688C22×C4×C73—21no—
689C22×C4×C73—21no—
690C22×C4×C73—21no—
691C22×C4×C73—21no—
692C22×C4×C73C2411yescharacteristic
693C22×C4×C73C2411yescharacteristic
694SD16×C73—41no—
695D8×C73—41no—
696D8×C73—41no—
697M16×C73—41no—
698C2×C8×C73—41no—
699C2×C8×C73C2411yescharacteristic
700C2×C8×C73C2411yescharacteristic
701C2×C8×C73C2411yescharacteristic
702C2×C8×C73C2411yescharacteristic
703C4⋊C4×C73—21no—
704C4⋊C4×C73—21no—
705C4⋊C4×C73—21no—
706C4⋊C4×C73—21no—
707C4⋊C4×C73C2×D411yescharacteristic
708C4⋊C4×C73C2411yescharacteristic
709C4⋊C4×C73C2411yescharacteristic
710C4⋊C4×C73C2411yescharacteristic
711C4⋊C4×C73C2411yescharacteristic
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×C73—21no—
719C22⋊C4×C73—21no—
720C22⋊C4×C73C2×D411yescharacteristic
721C22⋊C4×C73C2×D411yescharacteristic
722C42×C73C2411yescharacteristic
723C23×C73—21no—
724C23×C73—21no—
725C23×C73—21no—
726C23×C73—42no—
727C23×C73—81no—
728C23×C73—81no—
729C23×C73C22×D411yescharacteristic
730C23×C73C22×D411yescharacteristic
731C22×D73—21no—
732C22×D73—21no—
733C22×D73—21no—
734C22×D73—21no—
735C22×D73—21no—
736C22×D73—42no—
737C22×D73—42no—
738C22×D73—42no—
739C22×D73—42no—
740C22×D73—42no—
741C22×D73—42no—
742C22×D73—42no—
743C22×D73—81no—
744C22×D73—81no—
745C22×D73—81no—
746C22×D73—81no—
747C22×D73—81no—
748C22×D73C22×D411yescharacteristic
749Q8×C73—21no—
750Q8×C73—21no—
751Q8×C73—42no—
752D4×C73—22no—
753D4×C73—21no—
754D4×C73—21no—
755D4×C73—21no—
756D4×C73—21no—
757D4×C73—21no—
758D4×C73—21no—
759D4×C73—42no—
760D4×C73—42no—
761D4×C73—81no—
762D4×C73—81no—
763D4×C73—81no—
764C2×C4×C73—21no—
765C2×C4×C73—21no—
766C2×C4×C73—21no—
767C2×C4×C73—21no—
768C2×C4×C73—21no—
769C2×C4×C73—21no—
770C2×C4×C73—21no—
771C2×C4×C73—21no—
772C2×C4×C73—21no—
773C2×C4×C73—42no—
774C2×C4×C73—42no—
775C2×C4×C73—42no—
776C2×C4×C73—81no—
777C2×C4×C73—81no—
778C2×C4×C73C22×D411yescharacteristic
779C2×C4×C73C22×D411yescharacteristic
780C2×C4×C73C22×D411yescharacteristic
781C2×C4×C73C22×D411yescharacteristic
782C2×C4×C73C2511yescharacteristic
783C22⋊D73—22no—
784C22⋊D73—22no—
785C22⋊D73—42no—
786C22⋊D73—42no—
787C22⋊D73—42no—
788C22⋊D73—42no—
789C22⋊D73—42no—
790C22⋊D73—42no—
791C22⋊D73—42no—
792C22⋊D73—42no—
793C22⋊D73—42no—
794C22⋊D73—42no—
795C22⋊D73—42no—
796C22⋊D73—81no—
797C22⋊D73—81no—
798C22⋊D73—81no—
799C22⋊D73—81no—
800C22⋊D73—81no—
801C22⋊D73—81no—
802C22⋊D73—81no—
803C22⋊D73—81no—
804C2×Dic73—22no—
805C2×Dic73—21no—
806C2×Dic73—21no—
807C2×Dic73—21no—
808C2×Dic73—41no—
809C2×Dic73—41no—
810C2×Dic73—42no—
811C2×Dic73—81no—
812C2×Dic73—81no—
813C2×Dic73AGL(1,ℤ/8)14yescomplemented
814C2×Dic73C22×D411yescharacteristic
815C2×Dic73C22×D411yescharacteristic
816C2×Dic73C22×D411yescharacteristic
817C2×Dic73C22×D411yescharacteristic
818C2×Dic73C22×D411yescharacteristic
819C2×Dic73C22×D411yescharacteristic
820C2×Dic73C22×D411yescharacteristic
821D292—21no—
822D292—21no—
823D292—21no—
824D292—21no—
825D292—21no—
826D292—21no—
827D292—21no—
828D292—21no—
829D292—21no—
830D292—42no—
831D292—42no—
832D292—42no—
833D292—42no—
834D292—42no—
835D292—81no—
836D292—81no—
837D292—81no—
838D292—81no—
839D292H(5,𝔽2)12yes—
840C4×D73—21no—
841C4×D73—21no—
842C4×D73—22no—
843C4×D73—41no—
844C4×D73—42no—
845C4×D73—42no—
846C4×D73—42no—
847C4×D73—42no—
848C4×D73—42no—
849C4×D73—42no—
850C4×D73—42no—
851C4×D73—42no—
852C4×D73—42no—
853C4×D73—81no—
854C4×D73—81no—
855C4×D73—81no—
856C4×D73—81no—
857Dic146—22no—
858Dic146—21no—
859Dic146—21no—
860Dic146—42no—
861Dic146—42no—
862Dic146—42no—
863C8×C73—21no—
864C8×C73—21no—
865C8×C73—21no—
866C8×C73—21no—
867#10596831—21no—
868#10596831—21no—
869#10596831—21no—
870#10596831—21no—
871C22×C73—21no—
872C22×C73—21no—
873C22×C73—21no—
874C22×C73—21no—
875C22×C73—21no—
876C22×C73—41no—
877C22×C73—41no—
878C22×C73—41no—
879C22×C73—41no—
880C22×C73—41no—
881C22×C73—41no—
882C22×C73—41no—
883C22×C73—41no—
884C22×C73—41no—
885C22×C73—162no—
886C22×C73C2×AGL(1,ℤ/8)12yes—
887C22×C73C23×D411yescharacteristic
888C2×D73—21no—
889C2×D73—21no—
890C2×D73—22no—
891C2×D73—21no—
892C2×D73—41no—
893C2×D73—41no—
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—41no—
906C2×D73—84no—
907C2×D73—84no—
908C2×D73—84no—
909C2×D73—162no—
910C4×C73—21no—
911C4×C73—21no—
912C4×C73—21no—
913C4×C73—21no—
914C4×C73—41no—
915C4×C73—41no—
916C4×C73—41no—
917C4×C73—41no—
918C4×C73—41no—
919C4×C73C2×H(5,𝔽2)11yescharacteristic
920C4×C73#58511yescharacteristic
921Dic73—21no—
922Dic73—21no—
923Dic73—21no—
924Dic73—21no—
925Dic73—21no—
926Dic73—41no—
927Dic73—41no—
928Dic73—41no—
929Dic73C2×AGL(1,ℤ/8)12yes—
930Dic73C2×AGL(1,ℤ/8)12yes—
931#61961—731nomaximal, Sylow
932C2×C73—22no—
933C2×C73—41no—
934C2×C73—81no—
935C2×C73—81no—
936C2×C73—81no—
937C2×C73#348811yescharacteristic
938C2×C73C22×AGL(1,ℤ/8)11yescharacteristic
939C2×C73#358511yescharacteristic
940D73—41no—
941D73—42no—
942D73—81no—
943D73—81no—
944D73—81no—
945D73—81no—
946#3508—731no—
947D4×#41—731no—
948#3399—731no—
949#3399—731no—
950#3373—731no—
951#3373—731no—
952#3332—731no—
953#3332—731no—
954#3306—731no—
955#3306—731no—
956#3306—731no—
957#3306D7311yescharacteristic, complemented
958#3274—731no—
959#3274—731no—
960#3264—731no—
961#3264—731no—
962#3264—731no—
963#3264—731no—
964#3253—731no—
965#3253—731no—
966#3246—731no—
967#3214—731no—
968#3214—731no—
969#3205—731no—
970#3109—731no—
971#3109—731no—
972#3101—731no—
973#3036—731no—
974#3036—731no—
975C2×#459—731no—
976#2989—731no—
977C73#6196111yescharacteristic, complemented, Sylow
978C22×#41—1461no—
979C2×AGL(1,ℤ/8)—731no—
980C2×AGL(1,ℤ/8)—731no—
981C2×AGL(1,ℤ/8)—731no—
982C2×AGL(1,ℤ/8)—731no—
983C22×D8—731no—
984C22×D8—731no—
985#559—731no—
986#559—731no—
987#559—1461no—
988#550—731no—
989#550—731no—
990#550—731no—
991#550—1461no—
992D4×Q8—731no—
993#548—1461no—
994#547—731no—
995#547—731no—
996#547C2×D7311yescharacteristic
997#546—731no—
998#546—731no—
999#546—731no—
1000#546—1461no—
1001#546—1461no—
1002#546—1461no—
1003#546—1461no—
1004#546—1461no—
1005#546C2×D7311yescharacteristic, complemented
1006D42—731no—
1007D42—731no—
1008D42—731no—
1009#540—1461no—
1010#540—1461no—
1011#535—1461no—
1012#533—731no—
1013#532—731no—
1014#532—731no—
1015#532—731no—
1016#532—731no—
1017#532—731no—
1018#532—731no—
1019#532—731no—
1020C2×#127—731no—
1021#525—1461no—
1022#525—1461no—
1023#525—1461no—
1024#518—1461no—
1025C4×#41—731no—
1026C2×C4×D4—731no—
1027C2×C4×D4—731no—
1028C2×C4×D4—731no—
1029#496—731no—
1030#496—731no—
1031#496—731no—
1032#496—731no—
1033#493—731no—
1034#493—731no—
1035#489—731no—
1036#489—731no—
1037#489—731no—
1038#489C2×D7311yescharacteristic, complemented
1039#486—731no—
1040#486—731no—
1041#483—731no—
1042#483C2×D7311yescharacteristic, complemented
1043#481—731no—
1044#481—731no—
1045#481—731no—
1046#481C2×D7311yescharacteristic, complemented
1047#476—731no—
1048#476—731no—
1049#476—731no—
1050#476—731no—
1051#476—731no—
1052#476—731no—
1053#476—731no—
1054#476C2×D7311yescharacteristic, complemented
1055#475—731no—
1056#475—731no—
1057#469—731no—
1058#469—731no—
1059#469—731no—
1060#469—731no—
1061#469—731no—
1062#469—731no—
1063#469—731no—
1064#469C2×D7311yescharacteristic, complemented
1065#465—731no—
1066#465—731no—
1067#465—731no—
1068#465C2×D7311yescharacteristic, complemented
1069#463—731no—
1070#463—731no—
1071#463—731no—
1072#463—731no—
1073#463—731no—
1074#463—731no—
1075#463—731no—
1076#463C2×D7311yescharacteristic, complemented
1077#461—731no—
1078#461—731no—
1079#461—731no—
1080#461—731no—
1081#460—731no—
1082#460—731no—
1083#459—731no—
1084#459—731no—
1085#459—731no—
1086#459—731no—
1087#459—731no—
1088#459—731no—
1089#459—731no—
1090#459—731no—
1091#459—731no—
1092#459—731no—
1093#459—731no—
1094#459—731no—
1095#459—731no—
1096#459—731no—
1097#459—731no—
1098#459—731no—
1099#450—731no—
1100#450—731no—
1101#449—731no—
1102#449—731no—
1103#449—731no—
1104#449—731no—
1105#449—731no—
1106#449—731no—
1107#449—731no—
1108#449C2×D7311yescharacteristic, complemented
1109#447—731no—
1110#447—731no—
1111#447—731no—
1112#447—731no—
1113#447—731no—
1114#447—731no—
1115#447—731no—
1116#447C2×D7311yescharacteristic, complemented
1117#446—731no—
1118#446—731no—
1119#442—731no—
1120#442—731no—
1121#442—731no—
1122#442—731no—
1123#442—731no—
1124#442—731no—
1125#442—731no—
1126#442C2×D7311yescharacteristic, complemented
1127C4×SD16—731no—
1128C4×SD16—731no—
1129C4×SD16—731no—
1130C4×SD16—731no—
1131#436—731no—
1132#436—731no—
1133#435—731no—
1134#435—731no—
1135#435—731no—
1136#435C2×D7311yescharacteristic, complemented
1137#432—731no—
1138#432—731no—
1139#431—731no—
1140#423—731no—
1141#423—731no—
1142C2×C4⋊C8—731no—
1143#417—731no—
1144#417—731no—
1145#417—731no—
1146#417C2×D7311yescharacteristic, complemented
1147C2×#102—731no—
1148C2×#102C2×D7311yescharacteristic, complemented
1149C2×#41—21no—
1150C2×#41—2928no—
1151C2×#41—731no—
1152C2×#41—731no—
1153C2×#41—731no—
1154C2×#41—731no—
1155C2×#41—1461no—
1156C2×#41—1461no—
1157C2×#41—1461no—
1158C2×#41—1461no—
1159C2×#41—1461no—
1160C2×#41—1461no—
1161C2×#41—1461no—
1162C2×#41—1461no—
1163C2×#41C22×D7311yescharacteristic
1164C22×Q8—1461no—
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×D4C22×D7311yescharacteristic
1175C23×C4—1461no—
1176C23×C4—1461no—
1177C23×C4—1461no—
1178AGL(1,ℤ/8)—2922no—
1179AGL(1,ℤ/8)—2922no—
1180AGL(1,ℤ/8)—2922no—
1181AGL(1,ℤ/8)—2922no—
1182C2×SD16—731no—
1183C2×SD16—731no—
1184C2×SD16—731no—
1185C2×SD16—731no—
1186C2×SD16—731no—
1187C2×SD16—731no—
1188C2×SD16—731no—
1189C2×SD16C22×D7311yescharacteristic
1190C2×D8—2922no—
1191C2×D8—2922no—
1192C2×D8—731no—
1193C2×D8—731no—
1194C2×D8—731no—
1195C2×D8—731no—
1196C2×D8—731no—
1197C2×D8—731no—
1198C2×D8—731no—
1199C2×D8—731no—
1200C2×D8—731no—
1201C2×D8—731no—
1202C2×D8—731no—
1203C2×D8—731no—
1204C2×D8—731no—
1205C2×D8—731no—
1206C2×D8C22×D7311yescharacteristic
1207C2×D8C22×D7311yescharacteristic
1208C2×M16—731no—
1209C2×M16—731no—
1210C2×M16—731no—
1211C2×M16C22×D7311yescharacteristic
1212C22×C8—731no—
1213C22×C8C22×D7311yescharacteristic
1214C4⋊Q8—731no—
1215C4⋊Q8—731no—
1216C4⋊Q8—731no—
1217C4⋊Q8—731no—
1218C4⋊Q8C22×D7311yescharacteristic
1219#127—731no—
1220#127—731no—
1221#127—731no—
1222#127—731no—
1223#127—731no—
1224#127—731no—
1225#127—731no—
1226#127—1461no—
1227#127—1461no—
1228#127—1461no—
1229#127—1461no—
1230#125—1461no—
1231#124—731no—
1232#124—731no—
1233#124—731no—
1234#124—1461no—
1235#124—1461no—
1236#124—1461no—
1237#124—1461no—
1238#124—1461no—
1239#124—1461no—
1240#124—1461no—
1241#124C22×D7311yescharacteristic
1242#123—21no—
1243#123—21no—
1244#123—21no—
1245#123—1461no—
1246#123—1461no—
1247#123—1461no—
1248#123—1461no—
1249#123—1461no—
1250#123—1461no—
1251#123—1461no—
1252#123—1461no—
1253#123—1461no—
1254#123—1461no—
1255#123—1461no—
1256C22⋊Q8—21no—
1257C22⋊Q8—731no—
1258C22⋊Q8—1461no—
1259C22⋊Q8—1461no—
1260C22⋊Q8—1461no—
1261C22⋊Q8—1461no—
1262C22⋊Q8—1461no—
1263C22⋊Q8—1461no—
1264C22⋊Q8C22×D7311yescharacteristic
1265#121—21no—
1266#121—731no—
1267#121—731no—
1268#121—731no—
1269#121—731no—
1270#121—731no—
1271#121—731no—
1272#121—731no—
1273#121—1461no—
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#121—1461no—
1291#121—1461no—
1292#121—1461no—
1293#121—1461no—
1294#121—1461no—
1295#121C22×D7311yescharacteristic
1296#121C22×D7311yescharacteristic
1297#121C22×D7311yescharacteristic
1298#120—21no—
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—
1308C4×Q8—731no—
1309C4×Q8—731no—
1310C4×Q8—731no—
1311C4×Q8—731no—
1312C4×Q8—1461no—
1313C4×D4—731no—
1314C4×D4—731no—
1315C4×D4—731no—
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—731no—
1325C4×D4—731no—
1326C4×D4—731no—
1327C4×D4—731no—
1328C4×D4—731no—
1329C4×D4—731no—
1330C4×D4—1461no—
1331C4×D4—1461no—
1332C4×D4—1461no—
1333C4×D4—1461no—
1334C4×D4—1461no—
1335C4×D4—1461no—
1336C4×D4—1461no—
1337C4×D4—1461no—
1338C4×D4—1461no—
1339C4×D4—1461no—
1340C4×D4—1461no—
1341C4×D4—1461no—
1342C4×D4—1461no—
1343C4×D4—1461no—
1344C4×D4—1461no—
1345C4×D4—1461no—
1346C4×D4—1461no—
1347C4×D4—1461no—
1348C4×D4—1461no—
1349C4×D4C22×D7311yescharacteristic
1350C4×D4C22×D7311yescharacteristic
1351C4×D4C22×D7311yescharacteristic
1352#117—731no—
1353#117—731no—
1354#117—731no—
1355#117—1461no—
1356C2×C4⋊C4—731no—
1357C2×C4⋊C4C22×D7311yescharacteristic
1358C2×C4⋊C4C22×D7311yescharacteristic
1359C2×C22⋊C4—21no—
1360C2×C22⋊C4—1461no—
1361C2×C22⋊C4—1461no—
1362C2×C22⋊C4—1461no—
1363C2×C22⋊C4—1461no—
1364C2×C22⋊C4—1461no—
1365C2×C22⋊C4—1461no—
1366C2×C42—731no—
1367C2×C42—731no—
1368C2×C42—731no—
1369#106—731no—
1370#106—731no—
1371#106—731no—
1372#106—731no—
1373#106—731no—
1374#106C22×D7311yescharacteristic
1375#106C22×D7311yescharacteristic
1376#106C22×D7311yescharacteristic
1377C4⋊C8—731no—
1378C4⋊C8—731no—
1379C4⋊C8—731no—
1380C4⋊C8—731no—
1381C4⋊C8—731no—
1382C4⋊C8—731no—
1383C4⋊C8—731no—
1384C4⋊C8—731no—
1385C4⋊C8—731no—
1386C4⋊C8C22×D7311yescharacteristic
1387#103—731no—
1388#103—731no—
1389#103—731no—
1390#103—731no—
1391#103—731no—
1392#103C22×D7311yescharacteristic
1393#103C22×D7311yescharacteristic
1394#103C22×D7311yescharacteristic
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#102C22×D7311yescharacteristic
1413#102C22×D7311yescharacteristic
1414#102C22×D7311yescharacteristic
1415#102C22×D7311yescharacteristic
1416#102C22×D7311yescharacteristic
1417#102C22×D7311yescharacteristic
1418#102C22×D7311yescharacteristic
1419C22⋊C8—731no—
1420C22⋊C8—731no—
1421C22⋊C8—731no—
1422C22⋊C8—731no—
1423C22⋊C8C22×D7311yescharacteristic
1424C22⋊C8C22×D7311yescharacteristic
1425#97—731no—
1426#97—731no—
1427#97—731no—
1428#97C22×D7311yescharacteristic
1429C4×C8—731no—
1430C4×C8—731no—
1431C24—21no—
1432C24—1461no—
1433C24—1461no—
1434C24—1461no—
1435C24—1461no—
1436#41—41no—
1437#41—41no—
1438#41—44no—
1439#41—2921no—
1440#41—2921no—
1441#41—2924no—
1442#41—2924no—
1443#41—2924no—
1444#41—2924no—
1445#41—2924no—
1446#41—2924no—
1447#41—2921no—
1448#41—2921no—
1449#41—2921no—
1450#41—2921no—
1451#41—5842no—
1452#41—5842no—
1453#41—1464no—
1454C2×Q8—21no—
1455C2×Q8—2924no—
1456C2×Q8—731no—
1457C2×Q8—731no—
1458C2×Q8—1461no—
1459C2×Q8—1461no—
1460C2×Q8—1461no—
1461C2×Q8C23×D7311yescharacteristic
1462C2×D4—21no—
1463C2×D4—21no—
1464C2×D4—21no—
1465C2×D4—21no—
1466C2×D4—21no—
1467C2×D4—41no—
1468C2×D4—41no—
1469C2×D4—2921no—
1470C2×D4—2921no—
1471C2×D4—2921no—
1472C2×D4—2921no—
1473C2×D4—2924no—
1474C2×D4—2924no—
1475C2×D4—2924no—
1476C2×D4—2924no—
1477C2×D4—2921no—
1478C2×D4—5842no—
1479C2×D4—731no—
1480C2×D4—731no—
1481C2×D4—731no—
1482C2×D4—731no—
1483C2×D4—731no—
1484C2×D4—731no—
1485C2×D4—731no—
1486C2×D4—1461no—
1487C2×D4—1461no—
1488C2×D4—1462no—
1489C2×D4—1462no—
1490C2×D4—1461no—
1491C2×D4—1461no—
1492C2×D4—1461no—
1493C2×D4—1461no—
1494C2×D4—1461no—
1495C2×D4—1461no—
1496C2×D4—1461no—
1497C2×D4—1461no—
1498C2×D4—1461no—
1499C2×D4—1461no—
1500C2×D4—1461no—
1501C2×D4—1461no—
1502C2×D4—1461no—
1503C2×D4—1461no—
1504C2×D4—1461no—
1505C2×D4—1462no—
1506C2×D4—1461no—
1507C2×D4—1461no—
1508C2×D4—1461no—
1509C2×D4—1461no—
1510C2×D4—1461no—
1511C2×D4—1461no—
1512C2×D4—1461no—
1513C2×D4—1461no—
1514C2×D4—1461no—
1515C2×D4—1461no—
1516C2×D4—1461no—
1517C2×D4D4×D7311yescharacteristic
1518C2×D4C23×D7311yescharacteristic
1519C2×D4C23×D7311yescharacteristic
1520C2×D4C23×D7311yescharacteristic
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—21no—
1525C22×C4—21no—
1526C22×C4—2924no—
1527C22×C4—2924no—
1528C22×C4—2924no—
1529C22×C4—731no—
1530C22×C4—731no—
1531C22×C4—731no—
1532C22×C4—731no—
1533C22×C4—731no—
1534C22×C4—731no—
1535C22×C4—731no—
1536C22×C4—1461no—
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—1461no—
1546C22×C4—1461no—
1547C22×C4—1461no—
1548C22×C4—1461no—
1549C22×C4—1461no—
1550C22×C4—1461no—
1551C22×C4—1461no—
1552C22×C4C23×D7311yescharacteristic
1553C22×C4C23×D7311yescharacteristic
1554SD16—41no—
1555SD16—2921no—
1556SD16—2921no—
1557SD16—2921no—
1558SD16—2921no—
1559SD16—2921no—
1560SD16—1462no—
1561SD16—1462no—
1562D8—41no—
1563D8—41no—
1564D8—2921no—
1565D8—2921no—
1566D8—2921no—
1567D8—2921no—
1568D8—2921no—
1569D8—2921no—
1570D8—2921no—
1571D8—2921no—
1572D8—2921no—
1573D8—2921no—
1574D8—1462no—
1575D8—1462no—
1576D8—1462no—
1577D8—1462no—
1578M16—41no—
1579M16—2921no—
1580M16—2921no—
1581M16—2921no—
1582C2×C8—41no—
1583C2×C8—2921no—
1584C2×C8—731no—
1585C2×C8—731no—
1586C2×C8—731no—
1587C2×C8—731no—
1588C2×C8C23×D7311yescharacteristic
1589C2×C8C23×D7311yescharacteristic
1590C2×C8C23×D7311yescharacteristic
1591C2×C8C23×D7311yescharacteristic
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—731no—
1597C4⋊C4—731no—
1598C4⋊C4—731no—
1599C4⋊C4—731no—
1600C4⋊C4—731no—
1601C4⋊C4—731no—
1602C4⋊C4—731no—
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—731no—
1626C22⋊C4—731no—
1627C22⋊C4—731no—
1628C22⋊C4—731no—
1629C22⋊C4—1461no—
1630C22⋊C4—1461no—
1631C22⋊C4—1461no—
1632C22⋊C4—1461no—
1633C22⋊C4—1461no—
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⋊C4D4×D7311yescharacteristic
1656C22⋊C4D4×D7311yescharacteristic
1657C42—731no—
1658C42—731no—
1659C42—731no—
1660C42—731no—
1661C42—731no—
1662C42—731no—
1663C42—731no—
1664C42—731no—
1665C42—731no—
1666C42—1461no—
1667C42—1461no—
1668C42C23×D7311yescharacteristic
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—42no—
1673C23—81no—
1674C23—81no—
1675C23—2922no—
1676C23—2922no—
1677C23—2922no—
1678C23—2922no—
1679C23—2922no—
1680C23—2922no—
1681C23—2922no—
1682C23—5841no—
1683C23—5841no—
1684C23—5841no—
1685C23—5841no—
1686C23—5841no—
1687C23—731no—
1688C23—1461no—
1689C23—1461no—
1690C23—1461no—
1691C23—1461no—
1692C23—1461no—
1693C23C2×D4×D7311yescharacteristic
1694C23C2×D4×D7311yescharacteristic
1695Q8—21no—
1696Q8—21no—
1697Q8—42no—
1698Q8—2922no—
1699Q8—2922no—
1700Q8—2922no—
1701Q8—1462no—
1702Q8—1461no—
1703Q8—1461no—
1704D4—22no—
1705D4—21no—
1706D4—21no—
1707D4—21no—
1708D4—21no—
1709D4—21no—
1710D4—21no—
1711D4—42no—
1712D4—42no—
1713D4—81no—
1714D4—81no—
1715D4—81no—
1716D4—2922no—
1717D4—2922no—
1718D4—2922no—
1719D4—2922no—
1720D4—2922no—
1721D4—2922no—
1722D4—2922no—
1723D4—2922no—
1724D4—2922no—
1725D4—2922no—
1726D4—2922no—
1727D4—2922no—
1728D4—2922no—
1729D4—2922no—
1730D4—2922no—
1731D4—2922no—
1732D4—5841no—
1733D4—5841no—
1734D4—5841no—
1735D4—5841no—
1736D4—5841no—
1737D4—5841no—
1738D4—5841no—
1739D4—5841no—
1740D4—5841no—
1741D4—5841no—
1742D4—5841no—
1743D4—5841no—
1744D4—732no—
1745D4—1462no—
1746D4—1462no—
1747D4—1461no—
1748D4—1461no—
1749D4—1461no—
1750D4—1461no—
1751D4—1461no—
1752D4—1461no—
1753D4—1461no—
1754D4—1461no—
1755D4—1461no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—42no—
1766C2×C4—42no—
1767C2×C4—42no—
1768C2×C4—81no—
1769C2×C4—81no—
1770C2×C4—2922no—
1771C2×C4—2921no—
1772C2×C4—2922no—
1773C2×C4—2922no—
1774C2×C4—2922no—
1775C2×C4—2922no—
1776C2×C4—2922no—
1777C2×C4—2922no—
1778C2×C4—2922no—
1779C2×C4—2922no—
1780C2×C4—2922no—
1781C2×C4—2921no—
1782C2×C4—2921no—
1783C2×C4—5841no—
1784C2×C4—5841no—
1785C2×C4—5841no—
1786C2×C4—5841no—
1787C2×C4—5841no—
1788C2×C4—5841no—
1789C2×C4—731no—
1790C2×C4—731no—
1791C2×C4—734no—
1792C2×C4—731no—
1793C2×C4—731no—
1794C2×C4—731no—
1795C2×C4—731no—
1796C2×C4—731no—
1797C2×C4—1462no—
1798C2×C4—1461no—
1799C2×C4—1461no—
1800C2×C4—1461no—
1801C2×C4—1462no—
1802C2×C4—1461no—
1803C2×C4—1461no—
1804C2×C4C2×D4×D7311yescharacteristic
1805C2×C4C2×D4×D7311yescharacteristic
1806C2×C4C2×D4×D7311yescharacteristic
1807C2×C4C2×D4×D7311yescharacteristic
1808C2×C4C24×D7311yescharacteristic
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—21no—
1813C8—1461no—
1814C8—1461no—
1815C8—1461no—
1816C8—1461no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—21no—
1821C22—21no—
1822C22—41no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—41no—
1829C22—41no—
1830C22—41no—
1831C22—162no—
1832C22—2921no—
1833C22—2921no—
1834C22—2921no—
1835C22—2921no—
1836C22—2921no—
1837C22—2921no—
1838C22—2921no—
1839C22—2921no—
1840C22—2921no—
1841C22—2921no—
1842C22—2921no—
1843C22—2921no—
1844C22—2921no—
1845C22—2921no—
1846C22—5844no—
1847C22—5844no—
1848C22—5844no—
1849C22—11682no—
1850C22—1461no—
1851C22—1462no—
1852C22—1461no—
1853C22—1461no—
1854C22AGL(1,ℤ/8)×D7312yes—
1855C22C22×D4×D7311yescharacteristic
1856C4—21no—
1857C4—21no—
1858C4—21no—
1859C4—21no—
1860C4—41no—
1861C4—41no—
1862C4—41no—
1863C4—41no—
1864C4—41no—
1865C4—2921no—
1866C4—2921no—
1867C4—2921no—
1868C4—732no—
1869C4—732no—
1870C4—1461no—
1871C4—1461no—
1872C4—1461no—
1873C4—1461no—
1874C4—1461no—
1875C4H(5,𝔽2)×D7311yescharacteristic
1876C4#1798942311yescharacteristic
1877C2—22no—
1878C2—41no—
1879C2—81no—
1880C2—81no—
1881C2—81no—
1882C2—2922no—
1883C2—2921no—
1884C2—5841no—
1885C2—5841no—
1886C2—5841no—
1887C2—5841no—
1888C2#2262359411yescharacteristic
1889C2C2×AGL(1,ℤ/8)×D7311yescharacteristic
1890C2#2262470911yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3306C2
socleC22×C73C23×D4
hypercenter#3306D73
hypocenterC73#61961
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3306

Complements

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

NH ≅ G/Ntype
1. #22623799C2semidirect
2. #22623418C2semidirect
3. #22622974C2semidirect
4. #22622968C2semidirect
5. #22622726C2semidirect
6. #22622720C2semidirect
7. #22622256C2semidirect
8. #22622254C2semidirect
9. #22621890C2semidirect
10. #22621888C2semidirect
11. #22621886C2semidirect
12. #22621548C2semidirect
13. #22621544C2semidirect
14. #22621416C2semidirect
15. #22621412C2semidirect
16. #22621408C2semidirect
17. #22621404C2semidirect
18. #22621311C2semidirect
19. #22621308C2semidirect
20. #22621242C2semidirect
21. #22620927C2semidirect
22. #22620923C2semidirect
23. #22620847C2semidirect
24. #22620020C2semidirect
25. #22620019C2semidirect
26. #22619936C2semidirect
27. #22619394C2semidirect
28. #22619393C2semidirect
29. C2×#17988781C2semidirect
30. #22619043C2semidirect
31. C73×#3306C2semidirect
33. C2×#14556619C22semidirect
34. C2×#14556618C22semidirect
35. C2×#14556616C22semidirect
36. C2×#14556615C22semidirect
40. #17989320C22semidirect
41. #17989319C22semidirect
42. #17989258C22semidirect
43. #17989256C22semidirect
45. #17989255C22semidirect
46. #17989252C22semidirect
49. #17989238C22semidirect
50. #17989233C22semidirect
51. #17989231C22semidirect
54. #17989228C22semidirect
60. #17989221C22semidirect
64. #17989139C22semidirect
65. #17989138C22semidirect
66. #17989136C22semidirect
67. #17989134C22semidirect
68. #17989133C22semidirect
70. #17989132C22semidirect
71. #17989132C22semidirect
72. C2×#14556587C22semidirect
79. C2×#14556553C22semidirect
80. C4×D4×D73C22semidirect
81. #17988977C22semidirect
82. #17988976C22semidirect
83. #17988975C22semidirect
84. #17988973C22semidirect
85. #17988962C22semidirect
86. #17988962C22semidirect
87. #17988949C22semidirect
88. #17988948C22semidirect
89. #17988945C22semidirect
90. #17988932C22semidirect
91. #17988932C22semidirect
92. #17988917C22semidirect
93. #17988907C22semidirect
94. #17988905C22semidirect
95. #17988904C22semidirect
96. #17988876C22semidirect
97. #17988876C22semidirect
98. #17988876C22semidirect
99. #17988876C22semidirect
100. #17988875C22semidirect
101. #17988875C22semidirect
102. #17988874C22semidirect
103. #17988871C22semidirect
104. #17988870C22semidirect
105. #17988841C22semidirect
106. #17988841C22semidirect
107. #17988840C22semidirect
108. #17988839C22semidirect
109. #17988839C22semidirect
110. #17988838C22semidirect
111. #17988838C22semidirect
112. #17988818C22semidirect
113. #17988816C22semidirect
114. #17988814C22semidirect
115. #17988805C22semidirect
116. #17988805C22semidirect
117. #17988803C22semidirect
118. #17988802C22semidirect
119. #17988801C22semidirect
120. #17988801C22semidirect
121. #17988799C22semidirect
122. #17988791C22semidirect
123. #17988791C22semidirect
124. #17988791C22semidirect
125. #17988790C22semidirect
126. #17988786C22semidirect
127. #17988785C22semidirect
128. #17988783C22semidirect
129. #17988782C22semidirect
134. #17988781C22semidirect
135. #17988781C22semidirect
136. #17988781C22semidirect
137. #17988781C22semidirect
138. #17988781C22semidirect
139. #17988781C22semidirect
140. #17988781C22semidirect
141. #17988780C22semidirect
142. #17988780C22semidirect
143. #17988780C22semidirect
146. #17988735C22semidirect
147. #17988735C22semidirect
148. #17988734C22semidirect
149. #17988733C22semidirect
150. #17988733C22semidirect
151. #17988732C22semidirect
152. #17988730C22semidirect
153. #17988723C22semidirect
154. #17988723C22semidirect
155. #17988722C22semidirect
156. #17988721C22semidirect
157. #17988720C22semidirect
158. #17988720C22semidirect
159. #17988719C22semidirect
160. #17988716C22semidirect
161. #17988715C22semidirect
162. #17988700C22semidirect
163. #17988698C22semidirect
164. #17988698C22semidirect
165. #17988697C22semidirect
166. #17988697C22semidirect
167. #17988696C22semidirect
168. #17988696C22semidirect
169. #17988674C22semidirect
170. #17988674C22semidirect
171. #17988672C22semidirect
172. #17988672C22semidirect
173. #17988663C22semidirect
174. #17988662C22semidirect
175. #17988659C22semidirect
176. #17988658C22semidirect
177. #17988655C22semidirect
178. #17988642C22semidirect
179. #17988641C22semidirect
180. #17988637C22semidirect
181. #17988610C22semidirect
182. #17988609C22semidirect
183. C2×#14556520C22semidirect
184. #17988587C22semidirect
185. #17988586C22semidirect
186. #17988585C22semidirect
187. C2×#14556511C22semidirect
189. #546×C73C22semidirect
190. #489×C73C22semidirect
191. #483×C73C22semidirect
192. #481×C73C22semidirect
193. #476×C73C22semidirect
194. #469×C73C22semidirect
195. #465×C73C22semidirect
196. #463×C73C22semidirect
197. #449×C73C22semidirect
198. #447×C73C22semidirect
199. #442×C73C22semidirect
200. #435×C73C22semidirect
201. #417×C73C22semidirect
202. C2×#102×C73C22semidirect
813. C2×Dic73AGL(1,ℤ/8)semidirect
957. #3306D73semidirect
977. C73#61961semidirect
1005. #546C2×D73semidirect
1038. #489C2×D73semidirect
1042. #483C2×D73semidirect
1046. #481C2×D73semidirect
1054. #476C2×D73semidirect
1064. #469C2×D73semidirect
1068. #465C2×D73semidirect
1076. #463C2×D73semidirect
1108. #449C2×D73semidirect
1116. #447C2×D73semidirect
1126. #442C2×D73semidirect
1136. #435C2×D73semidirect
1146. #417C2×D73semidirect
1148. C2×#102C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226237992
#226234182
#226229742
#226229682
#226227262
#226227202
#226222562
#226222542
#226218902
#226218882
#226218862
#226215482
#226215442
#226214162
#226214122
#226214082
#226214042
#226213112
#226213082
#226212422
#226209272
#226209232
#226208472
#226200202
#226200192
#226199362
#226193942
#226193932
C2×#179887812
#226190432
C73×#33062
#6196173