Finite Group Databasebeta

← #33971832

Subgroups — #33971832

Order 18688.

2088 conjugacy classes of subgroups.

The subgroup lattice has 1882 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624151C211yesmaximal, characteristic, complemented
2#22623605C211yesmaximal, characteristic, complemented
3#22622247C211yesmaximal, characteristic, complemented
4#22622240C211yesmaximal, characteristic, complemented
5#22622044C211yesmaximal, characteristic, complemented
6#22622037C211yesmaximal, characteristic, complemented
7#22621897C211yesmaximal, characteristic, complemented
8#22621885C211yesmaximal, characteristic, complemented
9#22621799C211yesmaximal, characteristic, complemented
10#22621791C211yesmaximal, characteristic, complemented
11#22621644C211yesmaximal, characteristic, complemented
12#22621632C211yesmaximal, characteristic, complemented
13#22621566C211yesmaximal, characteristic, complemented
14#22621558C211yesmaximal, characteristic, complemented
15#22621500C211yesmaximal, characteristic, complemented
16#22621499C211yesmaximal, characteristic, complemented
17#22621450C211yesmaximal, characteristic, complemented
18#22621039C211yesmaximal, characteristic, complemented
19#22621035C211yesmaximal, characteristic, complemented
20#22620839C211yesmaximal, characteristic, complemented
21#22620836C211yesmaximal, characteristic, complemented
22#22620751C211yesmaximal, characteristic, complemented
23#22620685C211yesmaximal, characteristic, complemented
24#22620212C211yesmaximal, characteristic, complemented
25#22620205C211yesmaximal, characteristic, complemented
26#22619244C211yesmaximal, characteristic, complemented
27#22619242C211yesmaximal, characteristic, complemented
28#22619179C211yesmaximal, characteristic, complemented
29#452×D73C211yesmaximal, characteristic, complemented
30#22618978C211yesmaximal, characteristic, complemented
31C73×#3267C211yesmaximal, characteristic, complemented
32C2×#14556638C2211yescharacteristic, complemented
33C2×#41×D73C2211yescharacteristic
34C2×#14556621C2211yescharacteristic, complemented
35C2×#14556620C2211yescharacteristic, complemented
36C2×#14556617C2211yescharacteristic
37C2×#14556610C2211yescharacteristic, complemented
38C2×Q16×D73C2211yescharacteristic, complemented
39C2×SD16×D73C2211yescharacteristic, complemented
40#17989334—21no—
41#17989332—21no—
42#17989295C2211yescharacteristic, complemented
43#17989294C2211yescharacteristic, complemented
44#17989252C2211yescharacteristic, complemented
45#17989250C2211yescharacteristic, complemented
46#17989247C2211yescharacteristic
47#17989246C2211yescharacteristic
48#17989245C2211yescharacteristic
49#17989244C2211yescharacteristic
50#17989242C2211yescharacteristic
51#17989238—21no—
52#17989237C2211yescharacteristic
53#17989236C2211yescharacteristic
54#17989235—21no—
55#17989232C2211yescharacteristic, complemented
56#17989231C2211yescharacteristic, complemented
57#17989229—21no—
58#17989227—21no—
59#17989226—21no—
60#17989225C2211yescharacteristic, complemented
61#17989224—21no—
62#17989213—21no—
63#17989206C2211yescharacteristic, complemented
64#17989202C2211yescharacteristic, complemented
65#17989180—21no—
66#17989172—21no—
67#17989167C2211yescharacteristic, complemented
68#17989166—21no—
69#17989166C2211yescharacteristic, complemented
70#17989165C2211yescharacteristic, complemented
71#17989164—21no—
72#17989162C2211yescharacteristic, complemented
73#17989159—21no—
74#17989096C2211yescharacteristic
75#17989095—21no—
76C2×#14556569—21no—
77C22⋊Q8×D73C2211yescharacteristic
78C22⋊Q8×D73C2211yescharacteristic
79C2×#14556562C2211yescharacteristic
80#17989066C2211yescharacteristic, complemented
81#17988978C2211yescharacteristic, complemented
82#17988969C2211yescharacteristic, complemented
83#17988968C2211yescharacteristic, complemented
84#17988948C2211yescharacteristic, complemented
85#17988947C2211yescharacteristic, complemented
86#17988937C2211yescharacteristic, complemented
87#17988936C2211yescharacteristic, complemented
88#17988919C2211yescharacteristic, complemented
89#17988919C2211yescharacteristic, complemented
90#17988918C2211yescharacteristic, complemented
91#17988916C2211yescharacteristic, complemented
92#17988916C2211yescharacteristic, complemented
93#17988916C2211yescharacteristic, complemented
94#17988915C2211yescharacteristic, complemented
95#17988915C2211yescharacteristic, complemented
96#17988907C2211yescharacteristic, complemented
97#17988906C2211yescharacteristic, complemented
98#17988904C2211yescharacteristic, complemented
99#17988904C2211yescharacteristic, complemented
100#17988877C2211yescharacteristic, complemented
101#17988875C2211yescharacteristic, complemented
102#17988873C2211yescharacteristic, complemented
103#17988871C2211yescharacteristic, complemented
104#17988845C2211yescharacteristic, complemented
105#17988843C2211yescharacteristic, complemented
106#17988843C2211yescharacteristic, complemented
107#17988843C2211yescharacteristic, complemented
108#17988842C2211yescharacteristic, complemented
109#17988839C2211yescharacteristic, complemented
110#17988838C2211yescharacteristic, complemented
111#17988819C2211yescharacteristic, complemented
112#17988816C2211yescharacteristic, complemented
113#17988815C2211yescharacteristic
114#17988815C2211yescharacteristic
115#17988813C2211yescharacteristic
116#17988813C2211yescharacteristic
117#17988813C2211yescharacteristic, complemented
118#17988811C2211yescharacteristic, complemented
119#17988810C2211yescharacteristic, complemented
120#17988808C2211yescharacteristic, complemented
121#17988806C2211yescharacteristic, complemented
122#17988804C2211yescharacteristic, complemented
123#17988802C2211yescharacteristic, complemented
124#17988800C2211yescharacteristic, complemented
125#17988795C2211yescharacteristic, complemented
126#17988794C2211yescharacteristic, complemented
127#17988790C2211yescharacteristic, complemented
128#17988752C2211yescharacteristic, complemented
129#17988751C2211yescharacteristic
130#17988750C2211yescharacteristic, complemented
131#17988749C2211yescharacteristic
132#17988749C2211yescharacteristic, complemented
133#17988748C2211yescharacteristic, complemented
134#17988747C2211yescharacteristic
135#17988746C2211yescharacteristic, complemented
136#17988746C2211yescharacteristic, complemented
137#17988746C2211yescharacteristic, complemented
138#17988745C2211yescharacteristic, complemented
139#17988744C2211yescharacteristic, complemented
140#17988744C2211yescharacteristic, complemented
141#17988741C2211yescharacteristic, complemented
142#17988741C2211yescharacteristic, complemented
143#17988741C2211yescharacteristic, complemented
144#17988738C2211yescharacteristic, complemented
145#17988733C2211yescharacteristic, complemented
146#17988732C2211yescharacteristic, complemented
147#17988731C2211yescharacteristic
148#17988731C2211yescharacteristic
149#17988729C2211yescharacteristic
150#17988729C2211yescharacteristic
151#17988729C2211yescharacteristic, complemented
152#17988725C2211yescharacteristic, complemented
153#17988724C2211yescharacteristic
154#17988724C2211yescharacteristic
155#17988724C2211yescharacteristic, complemented
156#17988724C2211yescharacteristic, complemented
157#17988724C2211yescharacteristic, complemented
158#17988719C2211yescharacteristic
159#17988719C2211yescharacteristic
160#17988699C2211yescharacteristic, complemented
161#17988695C2211yescharacteristic, complemented
162#17988691C2211yescharacteristic, complemented
163#17988678C2211yescharacteristic, complemented
164SD16×Dic73C2211yescharacteristic, complemented
165C4×#11924016C2211yescharacteristic, complemented
166C4×#11924016C2211yescharacteristic, complemented
167#17988665C2211yescharacteristic, complemented
168#17988662C2211yescharacteristic, complemented
169#17988661C2211yescharacteristic, complemented
170#17988660C2211yescharacteristic, complemented
171#17988656C2211yescharacteristic, complemented
172#17988652C2211yescharacteristic, complemented
173C8×C22⋊D73C2211yescharacteristic, complemented
174#17988649C2211yescharacteristic, complemented
175#17988647C2211yescharacteristic, complemented
176#17988589C2211yescharacteristic
177#17988588C2211yescharacteristic
178#17988588C2211yescharacteristic, complemented
179#17988585C2211yescharacteristic, complemented
180C2×#14556516C2211yescharacteristic, complemented
181#103×D73C2211yescharacteristic, complemented
182#103×D73C2211yescharacteristic, complemented
183#102×D73C2211yescharacteristic, complemented
184#17988553C2211yescharacteristic, complemented
185#17988552C2211yescharacteristic, complemented
186#17988550C2211yescharacteristic
187C22⋊C8×D73C2211yescharacteristic
188C2×AGL(1,ℤ/8)×C73C2211yescharacteristic
189C2×#135×C73C2211yescharacteristic, complemented
190#547×C73C2211yescharacteristic
191#546×C73C2211yescharacteristic, complemented
192#497×C73C2211yescharacteristic, complemented
193#470×C73C2211yescharacteristic, complemented
194#465×C73C2211yescharacteristic, complemented
195#463×C73C2211yescharacteristic, complemented
196#461×C73C2211yescharacteristic, complemented
197#452×C73C2211yescharacteristic
198#452×C73C2211yescharacteristic, complemented
199#450×C73C2211yescharacteristic, complemented
200#449×C73C2211yescharacteristic, complemented
201#442×C73C2211yescharacteristic, complemented
202#435×C73C2211yescharacteristic, complemented
203#14556638—42no—
204#14556638—42no—
205C2×#11924029C2311yescharacteristic
206C2×#11924028—21no—
207C2×#11924028—21no—
208C2×#11924028—21no—
209C2×#11924028C2311yescharacteristic
210C2×#11924028C2311yescharacteristic
211C2×#11924027—21no—
212C2×#11924027—21no—
213C2×#11924027—21no—
214C2×#11924027—21no—
215C2×#11924027C2311yescharacteristic
216C2×#11924027C2311yescharacteristic
217C2×#11924027C2311yescharacteristic
218#41×D73—42no—
219#41×D73—42no—
220C22×Dic146—21no—
221C22×Dic146C2311yescharacteristic
222C2×Q8×D73C2311yescharacteristic
223C2×Q8×D73C2311yescharacteristic
224C2×Q8×D73C2311yescharacteristic
225C2×Q8×D73C2311yescharacteristic
226C22×C22⋊D73—21no—
227C2×D4×D73—21no—
228C2×D4×D73C2311yescharacteristic
229C22×C4×D73—21no—
230C22×C4×D73C2311yescharacteristic
231#14556621—42no—
232#14556620—42no—
233#14556617—42no—
234#14556610—42no—
235C2×Dic292C2311yescharacteristic
236C2×Dic292C2311yescharacteristic
237C2×#11924018C2311yescharacteristic
238C2×#11924018C2311yescharacteristic
239C2×#11924018C2311yescharacteristic
240C2×#11924018C2311yescharacteristic
241Q16×D73—42no—
242C2×#11924017C2311yescharacteristic
243C2×#11924016C2311yescharacteristic
244C2×#11924016C2311yescharacteristic
245C2×#11924016C2311yescharacteristic
246C2×#11924016C2311yescharacteristic
247C2×#11924016C2311yescharacteristic
248C2×#11924015C2311yescharacteristic
249SD16×D73—42no—
250C2×#11924013C2311yescharacteristic
251C2×#11924013C2311yescharacteristic
252C2×#11924012C2311yescharacteristic
253C2×#11924012C2311yescharacteristic
254C2×#11924011C2311yescharacteristic
255C2×C8×D73C2311yescharacteristic
256C2×C8×D73C2311yescharacteristic
257C2×C8×D73C2311yescharacteristic
258#14556591C2311yescharacteristic
259#14556590—21no—
260#14556590—21no—
261#14556590C2311yescharacteristic
262#14556589C2311yescharacteristic
263#14556584—21no—
264#14556584—21no—
265#14556582—21no—
266#14556581—21no—
267#14556580C2311yescharacteristic
268#14556579C2311yescharacteristic
269#14556578—21no—
270#14556578C2311yescharacteristic
271#14556577—21no—
272#14556577—21no—
273#14556577—21no—
274#14556577—21no—
275#14556577—21no—
276#14556576—21no—
277#14556576—21no—
278#14556576D411yescharacteristic
279#14556575—21no—
280#14556575—21no—
281#14556574—21no—
282#14556574—21no—
283#14556574—21no—
284#14556573—21no—
285#14556573—21no—
286#14556573—21no—
287#14556573D411yescharacteristic
288#14556572—21no—
289#14556572—21no—
290#14556572—21no—
291#14556571—21no—
292#14556571C2311yescharacteristic
293#14556571C2311yescharacteristic
294#14556570—21no—
295#14556570—21no—
296#14556570—21no—
297#14556570—21no—
298#14556570C2311yescharacteristic
299#14556570C2311yescharacteristic
300#14556570C2311yescharacteristic
301#14556569—21no—
302#14556569—21no—
303#14556569—21no—
304#14556569—21no—
305#14556569—21no—
306#14556569—21no—
307#14556569—21no—
308#14556569—21no—
309#14556569—21no—
310#14556569—21no—
311#14556569D411yescharacteristic
312#14556568—21no—
313#14556568—21no—
314#14556568—21no—
315#14556568—21no—
316#14556568—21no—
317#14556568—21no—
318#14556568—21no—
319#14556568—21no—
320#14556568—21no—
321#14556568—21no—
322#14556568D411yescharacteristic
323#14556567C2311yescharacteristic
324#14556567C2311yescharacteristic
325#14556567C2311yescharacteristic
326#14556567C2311yescharacteristic
327#14556566—21no—
328#14556566C2311yescharacteristic
329#14556565—21no—
330#14556565—21no—
331#14556565C2311yescharacteristic
332#14556564—21no—
333#14556564—21no—
334#14556564—21no—
335#14556564—21no—
336#14556564—21no—
337#14556564D411yescharacteristic
338#14556563—21no—
339#14556563—21no—
340#14556563—21no—
341#14556563—21no—
342#14556563—21no—
343#14556563—21no—
344#14556563—21no—
345#14556563D411yescharacteristic
346#14556562—21no—
347#14556562—21no—
348#14556562—21no—
349#14556562—21no—
350#14556562C2311yescharacteristic
351#14556562C2311yescharacteristic
352#14556562C2311yescharacteristic
353#14556562C2311yescharacteristic
354#14556562C2311yescharacteristic
355#14556561—21no—
356#14556561D411yescharacteristic
357#14556560—21no—
358#14556559—21no—
359#14556559D411yescharacteristic
360Q8×Dic73C2311yescharacteristic
361C4×Dic146C2311yescharacteristic
362C4×Dic146C2311yescharacteristic
363#14556556C2311yescharacteristic
364C4×D292C2311yescharacteristic
365D4×Dic73—21no—
366D4×Dic73C2311yescharacteristic
367D4×Dic73C2311yescharacteristic
368#14556553—21no—
369#14556553—21no—
370C4×C22⋊D73—21no—
371C4×C22⋊D73—21no—
372C4×C22⋊D73C2311yescharacteristic
373C4×C22⋊D73C2311yescharacteristic
374#14556551—21no—
375#14556551—21no—
376#14556551—21no—
377#14556551—21no—
378#14556551—21no—
379#14556548C2311yescharacteristic
380#14556547—21no—
381C2×C4⋊Dic73C2311yescharacteristic
382C2×C4⋊Dic73C2311yescharacteristic
383C2×#11924007—21no—
384C2×#11924007—21no—
385C4⋊C4×D73—21no—
386C4⋊C4×D73—21no—
387C4⋊C4×D73C2311yescharacteristic
388C4⋊C4×D73C2311yescharacteristic
389C4⋊C4×D73C2311yescharacteristic
390C2×C22⋊Dic73—21no—
391C2×C22⋊Dic73—21no—
392C2×#11924005—21no—
393C2×#11924005—21no—
394C22⋊C4×D73—21no—
395C22⋊C4×D73—21no—
396#14556523C2311yescharacteristic
397#14556523C2311yescharacteristic
398#14556523C2311yescharacteristic
399#14556522C2311yescharacteristic
400#14556522C2311yescharacteristic
401#14556522C2311yescharacteristic
402#14556522C2311yescharacteristic
403C4⋊#10596831C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556516C2311yescharacteristic
407#14556516C2311yescharacteristic
408#14556516C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556515C2311yescharacteristic
414#14556515C2311yescharacteristic
415#14556515C2311yescharacteristic
416#14556515C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556515C2311yescharacteristic
419#14556515C2311yescharacteristic
420#14556514C2311yescharacteristic
421#14556514C2311yescharacteristic
422#14556514C2311yescharacteristic
423#14556513C2311yescharacteristic
424#14556513C2311yescharacteristic
425#14556513C2311yescharacteristic
426#14556512C2311yescharacteristic
427#14556512C2311yescharacteristic
428#14556512C2311yescharacteristic
429#14556512C2311yescharacteristic
430#14556512C2311yescharacteristic
431#14556511C2311yescharacteristic
432C22⋊#10596831C2311yescharacteristic
433C22⋊#10596831C2311yescharacteristic
434#14556503C2311yescharacteristic
435#14556503C2311yescharacteristic
436#14556503C2311yescharacteristic
437#14556503C2311yescharacteristic
438#14556503C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556501C2311yescharacteristic
443C4×#10596831C2311yescharacteristic
444C8×Dic73C2311yescharacteristic
445C2×#41×C73C2311yescharacteristic
446C2×#41×C73C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C22×D4×C73C2311yescharacteristic
449AGL(1,ℤ/8)×C73—42no—
450#135×C73—42no—
451C2×Q16×C73C2311yescharacteristic
452C2×Q16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×SD16×C73C2311yescharacteristic
455C2×SD16×C73C2311yescharacteristic
456C2×SD16×C73C2311yescharacteristic
457C2×SD16×C73C2311yescharacteristic
458C2×D8×C73C2311yescharacteristic
459C2×D8×C73C2311yescharacteristic
460C2×M16×C73C2311yescharacteristic
461C22×C8×C73C2311yescharacteristic
462C4⋊Q8×C73C2311yescharacteristic
463#124×C73C2311yescharacteristic
464#123×C73—21no—
465#123×C73—21no—
466#123×C73—21no—
467C22⋊Q8×C73C2311yescharacteristic
468C22⋊Q8×C73C2311yescharacteristic
469C22⋊Q8×C73C2311yescharacteristic
470#121×C73—21no—
471#121×C73—21no—
472#121×C73C2311yescharacteristic
473#120×C73—21no—
474C4×D4×C73C2311yescharacteristic
475C4×D4×C73C2311yescharacteristic
476C4×D4×C73C2311yescharacteristic
477C2×C4⋊C4×C73—21no—
478C2×C22⋊C4×C73—21no—
479#106×C73C2311yescharacteristic
480C4⋊C8×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#103×C73C2311yescharacteristic
483#103×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486#102×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489#97×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73C2×D411yescharacteristic
492#11924029—41no—
493#11924029—41no—
494#11924028—22no—
495#11924028—41no—
496#11924028—41no—
497#11924028—41no—
498#11924028—44no—
499#11924028—44no—
500#11924028—82no—
501#11924027—22no—
502#11924027—22no—
503#11924027—22no—
504#11924027—41no—
505#11924027—41no—
506#11924027—41no—
507#11924027—44no—
508#11924027—44no—
509#11924027—44no—
510#11924027—82no—
511C2×Dic146—22no—
512C2×Dic146—21no—
513C2×Dic146—21no—
514C2×Dic146—21no—
515C2×Dic146—21no—
516C2×Dic146—21no—
517C2×Dic146—21no—
518C2×Dic146—21no—
519C2×Dic146—41no—
520C2×Dic146—44no—
521C2×Dic146C2×D411yescharacteristic
522C2×Dic146C2411yescharacteristic
523C2×Dic146C2411yescharacteristic
524C2×Dic146C2411yescharacteristic
525Q8×D73—22no—
526Q8×D73—22no—
527Q8×D73—41no—
528Q8×D73—41no—
529Q8×D73—41no—
530Q8×D73—41no—
531Q8×D73—41no—
532Q8×D73—41no—
533C2×D292—21no—
534C2×D292—21no—
535C2×D292C2×D411yescharacteristic
536C2×D292C2×D411yescharacteristic
537C2×D292C2411yescharacteristic
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—82no—
550C2×C22⋊D73C2×D411yescharacteristic
551C2×C22⋊D73C2×D411yescharacteristic
552C2×C22⋊D73C2×D411yescharacteristic
553C2×C22⋊D73C2×D411yescharacteristic
554D4×D73—22no—
555D4×D73—41no—
556D4×D73—44no—
557C22×Dic73—21no—
558C22×Dic73—21no—
559C22×Dic73—21no—
560C22×Dic73—21no—
561C22×Dic73—21no—
562C22×Dic73—21no—
563C22×Dic73—21no—
564C22×Dic73—21no—
565C22×Dic73C2×D411yescharacteristic
566C2×C4×D73—21no—
567C2×C4×D73—21no—
568C2×C4×D73—21no—
569C2×C4×D73—21no—
570C2×C4×D73—21no—
571C2×C4×D73—21no—
572C2×C4×D73—21no—
573C2×C4×D73—21no—
574C2×C4×D73—21no—
575C2×C4×D73—41no—
576C2×C4×D73—41no—
577C2×C4×D73—44no—
578C2×C4×D73C2×D411yescharacteristic
579C2×C4×D73C2×D411yescharacteristic
580C2×C4×D73C2411yescharacteristic
581C2×C4×D73C2411yescharacteristic
582C2×C4×D73C2411yescharacteristic
583Dic292—22no—
584Dic292—41no—
585#11924018—22no—
586#11924018—41no—
587#11924018—41no—
588#11924018—41no—
589#11924017—41no—
590#11924016—22no—
591#11924016—22no—
592#11924016—22no—
593#11924016—41no—
594#11924016—41no—
595#11924015—41no—
596#11924013—41no—
597#11924013—41no—
598#11924012—41no—
599#11924012—41no—
600#11924011—41no—
601C2×#10596831C2411yescharacteristic
602C2×#10596831C2411yescharacteristic
603C2×#10596831C2411yescharacteristic
604C2×#10596831C2411yescharacteristic
605C8×D73—41no—
606C8×D73—41no—
607C8×D73—41no—
608C4⋊Dic73—21no—
609C4⋊Dic73—21no—
610C4⋊Dic73—21no—
611C4⋊Dic73—21no—
612C4⋊Dic73—21no—
613C4⋊Dic73—21no—
614C4⋊Dic73C2×D411yescharacteristic
615C4⋊Dic73C2411yescharacteristic
616C4⋊Dic73C2411yescharacteristic
617C4⋊Dic73C2411yescharacteristic
618C4⋊Dic73C2411yescharacteristic
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#11924007—21no—
628#11924007—21no—
629#11924007—21no—
630#11924007—21no—
631#11924007—21no—
632#11924007—21no—
633#11924007—21no—
634#11924007—21no—
635#11924007C2×D411yescharacteristic
636#11924007C2×D411yescharacteristic
637#11924007C2×D411yescharacteristic
638#11924007C2×D411yescharacteristic
639C22⋊Dic73—21no—
640C22⋊Dic73—21no—
641C22⋊Dic73—21no—
642C22⋊Dic73—21no—
643C22⋊Dic73—21no—
644C22⋊Dic73—21no—
645C22⋊Dic73—21no—
646C22⋊Dic73—21no—
647C22⋊Dic73—21no—
648C22⋊Dic73—21no—
649C22⋊Dic73—21no—
650C22⋊Dic73—21no—
651C22⋊Dic73C2×D411yescharacteristic
652C22⋊Dic73C2×D411yescharacteristic
653#11924005—21no—
654#11924005—21no—
655#11924005—21no—
656#11924005—21no—
657#11924005—21no—
658#11924005—21no—
659#11924005—21no—
660#11924005—21no—
661#11924005—21no—
662#11924005—21no—
663#11924005—21no—
664#11924005—21no—
665#11924005C2×D411yescharacteristic
666#11924005C2×D411yescharacteristic
667#11924005C2×D411yescharacteristic
668#11924005C2×D411yescharacteristic
669#11924005C2×D411yescharacteristic
670#11924005C2×D411yescharacteristic
671C4×Dic73—21no—
672C4×Dic73—21no—
673C4×Dic73—21no—
674C4×Dic73—21no—
675C4×Dic73C2411yescharacteristic
676C24×C73—21no—
677#41×C73—22no—
678#41×C73—22no—
679#41×C73—41no—
680#41×C73—41no—
681#41×C73—41no—
682#41×C73—41no—
683C2×Q8×C73C2411yescharacteristic
684C2×Q8×C73C2411yescharacteristic
685C2×Q8×C73C2411yescharacteristic
686C2×D4×C73—21no—
687C2×D4×C73—21no—
688C2×D4×C73—21no—
689C2×D4×C73—21no—
690C2×D4×C73—21no—
691C2×D4×C73—41no—
692C2×D4×C73—41no—
693C2×D4×C73C2×D411yescharacteristic
694C2×D4×C73C2411yescharacteristic
695C2×D4×C73C2411yescharacteristic
696C2×D4×C73C2411yescharacteristic
697C22×C4×C73—21no—
698C22×C4×C73—21no—
699C22×C4×C73—21no—
700C22×C4×C73—21no—
701C22×C4×C73—21no—
702C22×C4×C73C2411yescharacteristic
703C22×C4×C73C2411yescharacteristic
704Q16×C73—41no—
705Q16×C73—41no—
706SD16×C73—22no—
707SD16×C73—41no—
708SD16×C73—41no—
709SD16×C73—41no—
710SD16×C73—41no—
711D8×C73—22no—
712D8×C73—22no—
713M16×C73—41no—
714C2×C8×C73—41no—
715C2×C8×C73C2411yescharacteristic
716C2×C8×C73C2411yescharacteristic
717C2×C8×C73C2411yescharacteristic
718C2×C8×C73C2411yescharacteristic
719C4⋊C4×C73—21no—
720C4⋊C4×C73—21no—
721C4⋊C4×C73—21no—
722C4⋊C4×C73—21no—
723C4⋊C4×C73—21no—
724C4⋊C4×C73C2×D411yescharacteristic
725C4⋊C4×C73C2411yescharacteristic
726C4⋊C4×C73C2411yescharacteristic
727C22⋊C4×C73—21no—
728C22⋊C4×C73—21no—
729C22⋊C4×C73—21no—
730C22⋊C4×C73—21no—
731C22⋊C4×C73—21no—
732C22⋊C4×C73—21no—
733C22⋊C4×C73—21no—
734C22⋊C4×C73—21no—
735C22⋊C4×C73C2×D411yescharacteristic
736C22⋊C4×C73C2×D411yescharacteristic
737C42×C73C2411yescharacteristic
738C23×C73—21no—
739C23×C73—21no—
740C23×C73—21no—
741C23×C73—42no—
742C23×C73—81no—
743C23×C73—81no—
744C23×C73C22×D411yescharacteristic
745C23×C73C22×D411yescharacteristic
746C22×D73—22no—
747C22×D73—21no—
748C22×D73—41no—
749C22×D73—41no—
750C22×D73—42no—
751C22×D73—42no—
752C22×D73—81no—
753C22×D73C22×D411yescharacteristic
754C22×D73C22×D411yescharacteristic
755C22×D73C22×D411yescharacteristic
756Q8×C73—21no—
757Q8×C73—21no—
758Q8×C73—21no—
759Q8×C73—21no—
760Q8×C73—21no—
761Q8×C73—21no—
762D4×C73—21no—
763D4×C73—21no—
764D4×C73—21no—
765D4×C73—21no—
766D4×C73—21no—
767D4×C73—41no—
768D4×C73—42no—
769D4×C73—42no—
770D4×C73—81no—
771D4×C73—81no—
772D4×C73—81no—
773D4×C73H(5,𝔽2)12yes—
774C2×C4×C73—21no—
775C2×C4×C73—21no—
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—42no—
784C2×C4×C73—42no—
785C2×C4×C73—81no—
786C2×C4×C73—81no—
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—24no—
794C22⋊D73—22no—
795C22⋊D73—41no—
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—
808C2×Dic73—24no—
809C2×Dic73—21no—
810C2×Dic73—21no—
811C2×Dic73—21no—
812C2×Dic73—21no—
813C2×Dic73—21no—
814C2×Dic73—21no—
815C2×Dic73—21no—
816C2×Dic73—41no—
817C2×Dic73—42no—
818C2×Dic73—42no—
819C2×Dic73—81no—
820C2×Dic73—81no—
821C2×Dic73—81no—
822C2×Dic73—81no—
823C2×Dic73—81no—
824C2×Dic73C22×D411yescharacteristic
825C2×Dic73C22×D411yescharacteristic
826C2×Dic73C22×D411yescharacteristic
827C2×Dic73C22×D411yescharacteristic
828C2×Dic73C22×D411yescharacteristic
829D292—22no—
830D292—21no—
831D292—21no—
832D292—41no—
833D292—42no—
834D292—81no—
835C4×D73—21no—
836C4×D73—21no—
837C4×D73—21no—
838C4×D73—21no—
839C4×D73—21no—
840C4×D73—21no—
841C4×D73—41no—
842C4×D73—41no—
843C4×D73—42no—
844C4×D73—42no—
845C4×D73—42no—
846C4×D73—42no—
847C4×D73—42no—
848C4×D73—42no—
849C4×D73—81no—
850C4×D73—81no—
851C4×D73—81no—
852Dic146—21no—
853Dic146—21no—
854Dic146—21no—
855Dic146—21no—
856Dic146—21no—
857Dic146—41no—
858Dic146—42no—
859Dic146—42no—
860Dic146—42no—
861Dic146—42no—
862Dic146—81no—
863Dic146—81no—
864Dic146—81no—
865Dic146H(5,𝔽2)12yes—
866C8×C73—21no—
867C8×C73—21no—
868C8×C73—21no—
869C8×C73—21no—
870#10596831—21no—
871#10596831—21no—
872#10596831—21no—
873#10596831—21no—
874C22×C73—21no—
875C22×C73—21no—
876C22×C73—22no—
877C22×C73—21no—
878C22×C73—21no—
879C22×C73—21no—
880C22×C73—21no—
881C22×C73—41no—
882C22×C73—41no—
883C22×C73—41no—
884C22×C73—41no—
885C22×C73—41no—
886C22×C73—41no—
887C22×C73—41no—
888C22×C73—41no—
889C22×C73—162no—
890C22×C73C23×D411yescharacteristic
891C2×D73—21no—
892C2×D73—21no—
893C2×D73—21no—
894C2×D73—21no—
895C2×D73—21no—
896C2×D73—21no—
897C2×D73—21no—
898C2×D73—21no—
899C2×D73—41no—
900C2×D73—41no—
901C2×D73—41no—
902C2×D73—82no—
903C2×D73—84no—
904C2×D73#57712yes—
905C4×C73—21no—
906C4×C73—21no—
907C4×C73—21no—
908C4×C73—21no—
909C4×C73—41no—
910C4×C73—41no—
911C4×C73—41no—
912C4×C73—41no—
913C4×C73—41no—
914C4×C73C2×H(5,𝔽2)11yescharacteristic
915C4×C73C2×H(5,𝔽2)11yescharacteristic
916Dic73—21no—
917Dic73—22no—
918Dic73—21no—
919Dic73—21no—
920Dic73—21no—
921Dic73—21no—
922Dic73—41no—
923Dic73—41no—
924Dic73—41no—
925Dic73—41no—
926Dic73—41no—
927Dic73—41no—
928#61620—731nomaximal, Sylow
929C2×C73—41no—
930C2×C73—42no—
931C2×C73—41no—
932C2×C73—81no—
933C2×C73—81no—
934C2×C73#348411yescharacteristic
935C2×C73C2×#57711yescharacteristic
936C2×C73#358611yescharacteristic
937D73—22no—
938D73—41no—
939D73—41no—
940D73—81no—
941#3536—731no—
942#3489—731no—
943#3331—731no—
944#3331—731no—
945#3316—731no—
946#3316—731no—
947#3306—731no—
948#3306—731no—
949#3298—731no—
950#3298—731no—
951#3282—731no—
952#3282—731no—
953#3275—731no—
954#3275—731no—
955#3270—731no—
956#3270—731no—
957#3267—731no—
958#3267D7311yescharacteristic, complemented
959#3225—731no—
960#3225—731no—
961#3204—731no—
962#3204—731no—
963#3195—731no—
964#3187—731no—
965#3125—731no—
966#3125—731no—
967#3013—731no—
968#3013—731no—
969#3006—731no—
970C2×#452—731no—
971#2976—731no—
972C73#6162011yescharacteristic, complemented, Sylow
973C2×2−1+4—731no—
974C22×#41—731no—
975C2×#137—731no—
976C2×#137—731no—
977C2×AGL(1,ℤ/8)—731no—
978C2×AGL(1,ℤ/8)C2×D7311yescharacteristic
979C2×#135—731no—
980C2×#135C2×D7311yescharacteristic, complemented
981C22×Q16—731no—
982C22×SD16—731no—
983#562—1461no—
984#562—1461no—
985#554—731no—
986#554—731no—
987D4×Q8—731no—
988D4×Q8—731no—
989#548—731no—
990#548—731no—
991#548—731no—
992#548—731no—
993#547—731no—
994#547—731no—
995#547—731no—
996#547—1461no—
997#547—1461no—
998#547C2×D7311yescharacteristic
999#546—731no—
1000#546—731no—
1001#546—731no—
1002#546—1461no—
1003#546—1461no—
1004#546—1461no—
1005#546—1461no—
1006#546C2×D7311yescharacteristic, complemented
1007#543—1461no—
1008#542—731no—
1009#542—731no—
1010#539—1461no—
1011#538—1461no—
1012#537—731no—
1013#537—731no—
1014#537—731no—
1015#537—1461no—
1016#537—1461no—
1017#536—731no—
1018#536—1461no—
1019#525—731no—
1020#525—1461no—
1021C2×C22⋊Q8—731no—
1022C2×C22⋊Q8—731no—
1023C2×C22⋊Q8—1461no—
1024C2×#121—731no—
1025#520—731no—
1026#497—731no—
1027#497C2×D7311yescharacteristic, complemented
1028#495—731no—
1029#495—731no—
1030#489—731no—
1031#489—731no—
1032#487—731no—
1033#487—731no—
1034#483—731no—
1035#483—731no—
1036#483—731no—
1037#483—731no—
1038#483—731no—
1039#483—731no—
1040#483—731no—
1041#483—731no—
1042#481—731no—
1043#481—731no—
1044#481—731no—
1045#481—731no—
1046#476—731no—
1047#476—731no—
1048#475—731no—
1049#475—731no—
1050#470—731no—
1051#470—731no—
1052#470—731no—
1053#470—731no—
1054#470—731no—
1055#470C2×D7311yescharacteristic, complemented
1056#469—731no—
1057#469—731no—
1058#465—731no—
1059#465—731no—
1060#465—731no—
1061#465—731no—
1062#465—731no—
1063#465—731no—
1064#465—731no—
1065#465C2×D7311yescharacteristic, complemented
1066#464—731no—
1067#464—731no—
1068#464—731no—
1069#464—731no—
1070#463—731no—
1071#463—731no—
1072#463—731no—
1073#463C2×D7311yescharacteristic, complemented
1074#462—731no—
1075#462—731no—
1076#461—731no—
1077#461C2×D7311yescharacteristic, complemented
1078#452—731no—
1079#452—731no—
1080#452—731no—
1081#452—731no—
1082#452—731no—
1083#452—731no—
1084#452—731no—
1085#452—731no—
1086#452—731no—
1087#452—731no—
1088#452C2×D7311yescharacteristic
1089#452C2×D7311yescharacteristic, complemented
1090#451—731no—
1091#451—731no—
1092#451—731no—
1093#451—731no—
1094#451—731no—
1095#451—731no—
1096#450—731no—
1097#450C2×D7311yescharacteristic, complemented
1098#449—731no—
1099#449—731no—
1100#449—731no—
1101#449—731no—
1102#449—731no—
1103#449—731no—
1104#449—731no—
1105#449C2×D7311yescharacteristic, complemented
1106#448—731no—
1107#448—731no—
1108#448—731no—
1109#448—731no—
1110#448—731no—
1111#448—731no—
1112#447—731no—
1113#447—731no—
1114#442—731no—
1115#442C2×D7311yescharacteristic, complemented
1116#441—731no—
1117#441—731no—
1118C4×SD16—731no—
1119C4×SD16—731no—
1120C4×SD16—731no—
1121C4×SD16—731no—
1122#436—731no—
1123#436—731no—
1124#435—731no—
1125#435—731no—
1126#435—731no—
1127#435C2×D7311yescharacteristic, complemented
1128C8×D4—731no—
1129C8×D4—731no—
1130#433—731no—
1131#433—731no—
1132#417—731no—
1133#417—731no—
1134#417—731no—
1135#417—731no—
1136C2×#103—731no—
1137C2×#103—731no—
1138C2×#103—731no—
1139C2×#102—731no—
1140#408—731no—
1141#408—731no—
1142#407—731no—
1143C2×C22⋊C8—731no—
11442−1+4—2922no—
11452−1+4—2922no—
1146C2×#41—2922no—
1147C2×#41—2922no—
1148C2×#41—731no—
1149C2×#41—731no—
1150C2×#41—731no—
1151C2×#41—731no—
1152C2×#41—731no—
1153C2×#41—731no—
1154C2×#41—1461no—
1155C2×#41—1461no—
1156C2×#41—1461no—
1157C2×#41—1461no—
1158C2×#41—1461no—
1159C2×#41—1461no—
1160C2×#41—1461no—
1161C2×#41C22×D7311yescharacteristic
1162C2×#41C22×D7311yescharacteristic
1163C2×#41C22×D7311yescharacteristic
1164C22×Q8—731no—
1165C22×Q8—731no—
1166C22×Q8—731no—
1167C22×Q8—731no—
1168C22×Q8—731no—
1169C22×Q8—1461no—
1170C22×D4—731no—
1171C22×D4—1461no—
1172C22×D4—1461no—
1173C22×D4C22×D7311yescharacteristic
1174C23×C4—731no—
1175C23×C4—1461no—
1176#137—2922no—
1177#137—2922no—
1178AGL(1,ℤ/8)—42no—
1179AGL(1,ℤ/8)—2922no—
1180#135—42no—
1181#135—2922no—
1182C2×Q16—2922no—
1183C2×Q16—731no—
1184C2×Q16—731no—
1185C2×Q16—731no—
1186C2×Q16—731no—
1187C2×Q16—731no—
1188C2×Q16—731no—
1189C2×Q16C22×D7311yescharacteristic
1190C2×Q16C22×D7311yescharacteristic
1191C2×SD16—2922no—
1192C2×SD16—731no—
1193C2×SD16—731no—
1194C2×SD16—731no—
1195C2×SD16—731no—
1196C2×SD16—731no—
1197C2×SD16—731no—
1198C2×SD16—731no—
1199C2×SD16C22×D7311yescharacteristic
1200C2×SD16C22×D7311yescharacteristic
1201C2×SD16C22×D7311yescharacteristic
1202C2×SD16C22×D7311yescharacteristic
1203C2×SD16C22×D7311yescharacteristic
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×C8—731no—
1214C22×C8—731no—
1215C22×C8C22×D7311yescharacteristic
1216C4⋊Q8—731no—
1217C4⋊Q8—731no—
1218C4⋊Q8—731no—
1219C4⋊Q8—1461no—
1220C4⋊Q8—1461no—
1221C4⋊Q8C22×D7311yescharacteristic
1222#126—1461no—
1223#126—1461no—
1224#125—1461no—
1225#125—1461no—
1226#124—731no—
1227#124—731no—
1228#124—731no—
1229#124—1461no—
1230#124—1461no—
1231#124—1461no—
1232#124—1461no—
1233#124—1461no—
1234#124—1461no—
1235#124C22×D7311yescharacteristic
1236#123—21no—
1237#123—21no—
1238#123—21no—
1239#123—731no—
1240#123—731no—
1241#123—1461no—
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—
1251#123—1461no—
1252#123—1461no—
1253#123—1461no—
1254C22⋊Q8—731no—
1255C22⋊Q8—731no—
1256C22⋊Q8—731no—
1257C22⋊Q8—731no—
1258C22⋊Q8—731no—
1259C22⋊Q8—731no—
1260C22⋊Q8—731no—
1261C22⋊Q8—731no—
1262C22⋊Q8—731no—
1263C22⋊Q8—731no—
1264C22⋊Q8—731no—
1265C22⋊Q8—1461no—
1266C22⋊Q8—1461no—
1267C22⋊Q8—1461no—
1268C22⋊Q8—1461no—
1269C22⋊Q8—1461no—
1270C22⋊Q8—1461no—
1271C22⋊Q8—1461no—
1272C22⋊Q8—1461no—
1273C22⋊Q8—1461no—
1274C22⋊Q8—1461no—
1275C22⋊Q8—1461no—
1276C22⋊Q8—1461no—
1277C22⋊Q8—1461no—
1278C22⋊Q8—1461no—
1279C22⋊Q8—1461no—
1280C22⋊Q8—1461no—
1281C22⋊Q8—1461no—
1282C22⋊Q8—1461no—
1283C22⋊Q8—1461no—
1284C22⋊Q8—1461no—
1285C22⋊Q8—1461no—
1286C22⋊Q8—1461no—
1287C22⋊Q8—1461no—
1288C22⋊Q8—1461no—
1289C22⋊Q8—1461no—
1290C22⋊Q8C22×D7311yescharacteristic
1291C22⋊Q8C22×D7311yescharacteristic
1292C22⋊Q8C22×D7311yescharacteristic
1293#121—21no—
1294#121—21no—
1295#121—731no—
1296#121—731no—
1297#121—731no—
1298#121—731no—
1299#121—731no—
1300#121—731no—
1301#121—731no—
1302#121—731no—
1303#121—731no—
1304#121—1461no—
1305#121—1461no—
1306#121—1461no—
1307#121—1461no—
1308#121—1461no—
1309#121—1461no—
1310#121—1461no—
1311#121—1461no—
1312#121—1461no—
1313#121—1461no—
1314#121—1461no—
1315#121—1461no—
1316#121—1461no—
1317#121—1461no—
1318#121—1461no—
1319#121—1461no—
1320#121—1461no—
1321#121—1461no—
1322#121—1461no—
1323#121C22×D7311yescharacteristic
1324#120—21no—
1325#120—731no—
1326#120—731no—
1327#120—1461no—
1328#120—1461no—
1329#120—1461no—
1330C4×Q8—731no—
1331C4×Q8—731no—
1332C4×Q8—731no—
1333C4×Q8—731no—
1334C4×D4—731no—
1335C4×D4—731no—
1336C4×D4—731no—
1337C4×D4—731no—
1338C4×D4—731no—
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—1461no—
1354C2×C4⋊C4—21no—
1355C2×C4⋊C4—731no—
1356C2×C4⋊C4—731no—
1357C2×C4⋊C4—731no—
1358C2×C4⋊C4—731no—
1359C2×C4⋊C4—731no—
1360C2×C4⋊C4—1461no—
1361C2×C4⋊C4—1461no—
1362C2×C4⋊C4—1461no—
1363C2×C4⋊C4—1461no—
1364C2×C22⋊C4—21no—
1365C2×C22⋊C4—1461no—
1366C2×C22⋊C4—1461no—
1367C2×C22⋊C4—1461no—
1368C2×C22⋊C4—1461no—
1369C2×C22⋊C4—1461no—
1370C2×C22⋊C4—1461no—
1371#106—731no—
1372#106—731no—
1373#106—731no—
1374#106—731no—
1375#106—731no—
1376#106—731no—
1377#106—731no—
1378#106C22×D7311yescharacteristic
1379C4⋊C8—731no—
1380C4⋊C8—731no—
1381C4⋊C8—731no—
1382C4⋊C8C22×D7311yescharacteristic
1383#103—731no—
1384#103—731no—
1385#103—731no—
1386#103—731no—
1387#103—731no—
1388#103—731no—
1389#103—731no—
1390#103—731no—
1391#103—731no—
1392#103—731no—
1393#103—731no—
1394#103—731no—
1395#103—731no—
1396#103—731no—
1397#103—731no—
1398#103—731no—
1399#103—731no—
1400#103C22×D7311yescharacteristic
1401#103C22×D7311yescharacteristic
1402#103C22×D7311yescharacteristic
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
1415C22⋊C8—731no—
1416C22⋊C8—731no—
1417C22⋊C8—731no—
1418C22⋊C8—731no—
1419C22⋊C8—731no—
1420C22⋊C8—731no—
1421C22⋊C8—731no—
1422C22⋊C8—731no—
1423C22⋊C8—731no—
1424C22⋊C8—731no—
1425C22⋊C8C22×D7311yescharacteristic
1426C22⋊C8C22×D7311yescharacteristic
1427#97—731no—
1428#97C22×D7311yescharacteristic
1429C4×C8—731no—
1430C4×C8—731no—
1431C24—21no—
1432C24—731no—
1433C24—1461no—
1434#41—22no—
1435#41—22no—
1436#41—41no—
1437#41—41no—
1438#41—41no—
1439#41—41no—
1440#41—2921no—
1441#41—2921no—
1442#41—2921no—
1443#41—2924no—
1444#41—2924no—
1445#41—2924no—
1446#41—2921no—
1447#41—2924no—
1448#41—2924no—
1449#41—2921no—
1450#41—2921no—
1451#41—2921no—
1452#41—2921no—
1453#41—5842no—
1454#41—5842no—
1455#41—1462no—
1456#41—1462no—
1457#41—1462no—
1458#41—1462no—
1459C2×Q8—2921no—
1460C2×Q8—2924no—
1461C2×Q8—2921no—
1462C2×Q8—2921no—
1463C2×Q8—2921no—
1464C2×Q8—2921no—
1465C2×Q8—2921no—
1466C2×Q8—2921no—
1467C2×Q8—731no—
1468C2×Q8—731no—
1469C2×Q8—731no—
1470C2×Q8—731no—
1471C2×Q8—1462no—
1472C2×Q8—1461no—
1473C2×Q8—1461no—
1474C2×Q8—1461no—
1475C2×Q8—1461no—
1476C2×Q8—1461no—
1477C2×Q8—1462no—
1478C2×Q8—1462no—
1479C2×Q8—1461no—
1480C2×Q8—1461no—
1481C2×Q8C23×D7311yescharacteristic
1482C2×Q8C23×D7311yescharacteristic
1483C2×Q8C23×D7311yescharacteristic
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—41no—
1490C2×D4—41no—
1491C2×D4—2924no—
1492C2×D4—2921no—
1493C2×D4—5842no—
1494C2×D4—731no—
1495C2×D4—731no—
1496C2×D4—731no—
1497C2×D4—731no—
1498C2×D4—731no—
1499C2×D4—731no—
1500C2×D4—731no—
1501C2×D4—1461no—
1502C2×D4—1461no—
1503C2×D4—1461no—
1504C2×D4—1461no—
1505C2×D4—1461no—
1506C2×D4—1461no—
1507C2×D4—1461no—
1508C2×D4—1462no—
1509C2×D4—1461no—
1510C2×D4—1461no—
1511C2×D4—1461no—
1512C2×D4—1461no—
1513C2×D4—1461no—
1514C2×D4—1461no—
1515C2×D4D4×D7311yescharacteristic
1516C2×D4C23×D7311yescharacteristic
1517C2×D4C23×D7311yescharacteristic
1518C2×D4C23×D7311yescharacteristic
1519C22×C4—21no—
1520C22×C4—21no—
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—2921no—
1525C22×C4—2921no—
1526C22×C4—2924no—
1527C22×C4—731no—
1528C22×C4—731no—
1529C22×C4—731no—
1530C22×C4—731no—
1531C22×C4—731no—
1532C22×C4—731no—
1533C22×C4—1461no—
1534C22×C4—1461no—
1535C22×C4—1461no—
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×C4C23×D7311yescharacteristic
1551C22×C4C23×D7311yescharacteristic
1552Q16—41no—
1553Q16—41no—
1554Q16—2921no—
1555Q16—2921no—
1556Q16—2921no—
1557Q16—2921no—
1558Q16—1462no—
1559Q16—1462no—
1560SD16—22no—
1561SD16—41no—
1562SD16—41no—
1563SD16—41no—
1564SD16—41no—
1565SD16—2921no—
1566SD16—2921no—
1567SD16—2921no—
1568SD16—2921no—
1569SD16—1462no—
1570SD16—1462no—
1571SD16—1462no—
1572D8—22no—
1573D8—22no—
1574D8—2921no—
1575D8—2921no—
1576M16—41no—
1577M16—2921no—
1578M16—2921no—
1579M16—2921no—
1580C2×C8—41no—
1581C2×C8—2921no—
1582C2×C8—2921no—
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—21no—
1597C4⋊C4—731no—
1598C4⋊C4—731no—
1599C4⋊C4—731no—
1600C4⋊C4—731no—
1601C4⋊C4—731no—
1602C4⋊C4—731no—
1603C4⋊C4—731no—
1604C4⋊C4—731no—
1605C4⋊C4—731no—
1606C4⋊C4—1461no—
1607C4⋊C4—1461no—
1608C4⋊C4—1461no—
1609C4⋊C4—1461no—
1610C4⋊C4—1461no—
1611C4⋊C4—1461no—
1612C4⋊C4—1461no—
1613C4⋊C4—1461no—
1614C4⋊C4—1461no—
1615C4⋊C4—1461no—
1616C4⋊C4—1461no—
1617C4⋊C4—1461no—
1618C4⋊C4—1461no—
1619C4⋊C4—1461no—
1620C4⋊C4—1461no—
1621C4⋊C4—1461no—
1622C4⋊C4—1461no—
1623C4⋊C4—1461no—
1624C4⋊C4—1461no—
1625C4⋊C4—1461no—
1626C4⋊C4—1461no—
1627C4⋊C4—1461no—
1628C4⋊C4D4×D7311yescharacteristic
1629C4⋊C4C23×D7311yescharacteristic
1630C4⋊C4C23×D7311yescharacteristic
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—731no—
1640C22⋊C4—731no—
1641C22⋊C4—731no—
1642C22⋊C4—731no—
1643C22⋊C4—731no—
1644C22⋊C4—731no—
1645C22⋊C4—731no—
1646C22⋊C4—731no—
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⋊C4—1461no—
1660C22⋊C4—1461no—
1661C22⋊C4—1461no—
1662C22⋊C4—1461no—
1663C22⋊C4—1461no—
1664C22⋊C4—1461no—
1665C22⋊C4—1461no—
1666C22⋊C4—1461no—
1667C22⋊C4—1461no—
1668C22⋊C4—1461no—
1669C22⋊C4—1461no—
1670C22⋊C4—1461no—
1671C22⋊C4D4×D7311yescharacteristic
1672C22⋊C4D4×D7311yescharacteristic
1673C42—731no—
1674C42—1461no—
1675C42—1461no—
1676C42—1461no—
1677C42—1461no—
1678C42C23×D7311yescharacteristic
1679C23—21no—
1680C23—21no—
1681C23—21no—
1682C23—42no—
1683C23—81no—
1684C23—81no—
1685C23—2922no—
1686C23—2921no—
1687C23—2921no—
1688C23—2922no—
1689C23—5841no—
1690C23—731no—
1691C23—731no—
1692C23—731no—
1693C23—1462no—
1694C23—1461no—
1695C23C2×D4×D7311yescharacteristic
1696C23C2×D4×D7311yescharacteristic
1697Q8—21no—
1698Q8—21no—
1699Q8—21no—
1700Q8—21no—
1701Q8—21no—
1702Q8—21no—
1703Q8—2922no—
1704Q8—2921no—
1705Q8—2922no—
1706Q8—2922no—
1707Q8—2922no—
1708Q8—5841no—
1709Q8—5841no—
1710Q8—5841no—
1711Q8—732no—
1712Q8—1461no—
1713Q8—1461no—
1714Q8—1461no—
1715Q8—1461no—
1716Q8—1461no—
1717D4—21no—
1718D4—21no—
1719D4—21no—
1720D4—21no—
1721D4—21no—
1722D4—41no—
1723D4—42no—
1724D4—42no—
1725D4—81no—
1726D4—81no—
1727D4—81no—
1728D4—2921no—
1729D4—2922no—
1730D4—2922no—
1731D4—2922no—
1732D4—2922no—
1733D4—2922no—
1734D4—2922no—
1735D4—2921no—
1736D4—2921no—
1737D4—2921no—
1738D4—5841no—
1739D4—5841no—
1740D4—5841no—
1741D4—5841no—
1742D4—5841no—
1743D4—5841no—
1744D4—1462no—
1745D4—1462no—
1746D4—1464no—
1747D4—1461no—
1748D4—1461no—
1749D4#1455663612yes—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—42no—
1760C2×C4—42no—
1761C2×C4—81no—
1762C2×C4—81no—
1763C2×C4—81no—
1764C2×C4—2922no—
1765C2×C4—2921no—
1766C2×C4—2921no—
1767C2×C4—2922no—
1768C2×C4—2922no—
1769C2×C4—2922no—
1770C2×C4—2922no—
1771C2×C4—2922no—
1772C2×C4—2922no—
1773C2×C4—2922no—
1774C2×C4—2921no—
1775C2×C4—5841no—
1776C2×C4—5841no—
1777C2×C4—5841no—
1778C2×C4—5841no—
1779C2×C4—5841no—
1780C2×C4—5841no—
1781C2×C4—5841no—
1782C2×C4—5841no—
1783C2×C4—731no—
1784C2×C4—731no—
1785C2×C4—731no—
1786C2×C4—731no—
1787C2×C4—731no—
1788C2×C4—1461no—
1789C2×C4—1461no—
1790C2×C4—1461no—
1791C2×C4—1461no—
1792C2×C4—1461no—
1793C2×C4—1461no—
1794C2×C4—1464no—
1795C2×C4—1461no—
1796C2×C4—1461no—
1797C2×C4—1461no—
1798C2×C4—1461no—
1799C2×C4—1461no—
1800C2×C4—1461no—
1801C2×C4—1461no—
1802C2×C4C2×D4×D7311yescharacteristic
1803C2×C4C2×D4×D7311yescharacteristic
1804C2×C4C2×D4×D7311yescharacteristic
1805C2×C4C2×D4×D7311yescharacteristic
1806C2×C4C24×D7311yescharacteristic
1807C8—21no—
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—1461no—
1812C8—1461no—
1813C8—1461no—
1814C8—1461no—
1815C22—21no—
1816C22—21no—
1817C22—22no—
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—162no—
1831C22—2921no—
1832C22—2921no—
1833C22—2921no—
1834C22—5842no—
1835C22—5844no—
1836C22—732no—
1837C22—1461no—
1838C22—1461no—
1839C22—1461no—
1840C22—1461no—
1841C22—1461no—
1842C22—1461no—
1843C22—1461no—
1844C22—1461no—
1845C22C22×D4×D7311yescharacteristic
1846C4—21no—
1847C4—21no—
1848C4—21no—
1849C4—21no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—2921no—
1856C4—2921no—
1857C4—2921no—
1858C4—2921no—
1859C4—2921no—
1860C4—2921no—
1861C4—1461no—
1862C4—1462no—
1863C4—1461no—
1864C4—1461no—
1865C4—1461no—
1866C4—1461no—
1867C4H(5,𝔽2)×D7311yescharacteristic
1868C4C2×#1455663611yescharacteristic
1869C2—41no—
1870C2—41no—
1871C2—42no—
1872C2—81no—
1873C2—81no—
1874C2—2921no—
1875C2—2921no—
1876C2—5841no—
1877C2—1462no—
1878C2#2262355911yescharacteristic
1879C2#577×D7311yescharacteristic
1880C2#2262471511yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3267C2
socleC22×C73C23×D4
hypercenter#3267D73
hypocenterC73#61620
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3267

Complements

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

NH ≅ G/Ntype
1. #22624151C2semidirect
2. #22623605C2semidirect
3. #22622247C2semidirect
4. #22622240C2semidirect
5. #22622044C2semidirect
6. #22622037C2semidirect
7. #22621897C2semidirect
8. #22621885C2semidirect
9. #22621799C2semidirect
10. #22621791C2semidirect
11. #22621644C2semidirect
12. #22621632C2semidirect
13. #22621566C2semidirect
14. #22621558C2semidirect
15. #22621500C2semidirect
16. #22621499C2semidirect
17. #22621450C2semidirect
18. #22621039C2semidirect
19. #22621035C2semidirect
20. #22620839C2semidirect
21. #22620836C2semidirect
22. #22620751C2semidirect
23. #22620685C2semidirect
24. #22620212C2semidirect
25. #22620205C2semidirect
26. #22619244C2semidirect
27. #22619242C2semidirect
28. #22619179C2semidirect
29. #452×D73C2semidirect
30. #22618978C2semidirect
31. C73×#3267C2semidirect
32. C2×#14556638C22semidirect
34. C2×#14556621C22semidirect
35. C2×#14556620C22semidirect
37. C2×#14556610C22semidirect
38. C2×Q16×D73C22semidirect
39. C2×SD16×D73C22semidirect
42. #17989295C22semidirect
43. #17989294C22semidirect
44. #17989252C22semidirect
45. #17989250C22semidirect
55. #17989232C22semidirect
56. #17989231C22semidirect
60. #17989225C22semidirect
63. #17989206C22semidirect
64. #17989202C22semidirect
67. #17989167C22semidirect
69. #17989166C22semidirect
70. #17989165C22semidirect
72. #17989162C22semidirect
80. #17989066C22semidirect
81. #17988978C22semidirect
82. #17988969C22semidirect
83. #17988968C22semidirect
84. #17988948C22semidirect
85. #17988947C22semidirect
86. #17988937C22semidirect
87. #17988936C22semidirect
88. #17988919C22semidirect
89. #17988919C22semidirect
90. #17988918C22semidirect
91. #17988916C22semidirect
92. #17988916C22semidirect
93. #17988916C22semidirect
94. #17988915C22semidirect
95. #17988915C22semidirect
96. #17988907C22semidirect
97. #17988906C22semidirect
98. #17988904C22semidirect
99. #17988904C22semidirect
100. #17988877C22semidirect
101. #17988875C22semidirect
102. #17988873C22semidirect
103. #17988871C22semidirect
104. #17988845C22semidirect
105. #17988843C22semidirect
106. #17988843C22semidirect
107. #17988843C22semidirect
108. #17988842C22semidirect
109. #17988839C22semidirect
110. #17988838C22semidirect
111. #17988819C22semidirect
112. #17988816C22semidirect
117. #17988813C22semidirect
118. #17988811C22semidirect
119. #17988810C22semidirect
120. #17988808C22semidirect
121. #17988806C22semidirect
122. #17988804C22semidirect
123. #17988802C22semidirect
124. #17988800C22semidirect
125. #17988795C22semidirect
126. #17988794C22semidirect
127. #17988790C22semidirect
128. #17988752C22semidirect
130. #17988750C22semidirect
132. #17988749C22semidirect
133. #17988748C22semidirect
135. #17988746C22semidirect
136. #17988746C22semidirect
137. #17988746C22semidirect
138. #17988745C22semidirect
139. #17988744C22semidirect
140. #17988744C22semidirect
141. #17988741C22semidirect
142. #17988741C22semidirect
143. #17988741C22semidirect
144. #17988738C22semidirect
145. #17988733C22semidirect
146. #17988732C22semidirect
151. #17988729C22semidirect
152. #17988725C22semidirect
155. #17988724C22semidirect
156. #17988724C22semidirect
157. #17988724C22semidirect
160. #17988699C22semidirect
161. #17988695C22semidirect
162. #17988691C22semidirect
163. #17988678C22semidirect
164. SD16×Dic73C22semidirect
165. C4×#11924016C22semidirect
166. C4×#11924016C22semidirect
167. #17988665C22semidirect
168. #17988662C22semidirect
169. #17988661C22semidirect
170. #17988660C22semidirect
171. #17988656C22semidirect
172. #17988652C22semidirect
173. C8×C22⋊D73C22semidirect
174. #17988649C22semidirect
175. #17988647C22semidirect
178. #17988588C22semidirect
179. #17988585C22semidirect
180. C2×#14556516C22semidirect
181. #103×D73C22semidirect
182. #103×D73C22semidirect
183. #102×D73C22semidirect
184. #17988553C22semidirect
185. #17988552C22semidirect
189. C2×#135×C73C22semidirect
191. #546×C73C22semidirect
192. #497×C73C22semidirect
193. #470×C73C22semidirect
194. #465×C73C22semidirect
195. #463×C73C22semidirect
196. #461×C73C22semidirect
198. #452×C73C22semidirect
199. #450×C73C22semidirect
200. #449×C73C22semidirect
201. #442×C73C22semidirect
202. #435×C73C22semidirect
958. #3267D73semidirect
972. C73#61620semidirect
980. C2×#135C2×D73semidirect
1006. #546C2×D73semidirect
1027. #497C2×D73semidirect
1055. #470C2×D73semidirect
1065. #465C2×D73semidirect
1073. #463C2×D73semidirect
1077. #461C2×D73semidirect
1089. #452C2×D73semidirect
1097. #450C2×D73semidirect
1105. #449C2×D73semidirect
1115. #442C2×D73semidirect
1127. #435C2×D73semidirect

Maximal subgroups

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

subgroupindex
#226241512
#226236052
#226222472
#226222402
#226220442
#226220372
#226218972
#226218852
#226217992
#226217912
#226216442
#226216322
#226215662
#226215582
#226215002
#226214992
#226214502
#226210392
#226210352
#226208392
#226208362
#226207512
#226206852
#226202122
#226202052
#226192442
#226192422
#226191792
#452×D732
#226189782
C73×#32672
#6162073