Finite Group Databasebeta

← #17919890

Subgroups — #17919890

Order 4352.

2226 conjugacy classes of subgroups.

The subgroup lattice has 1942 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14543065C211yesmaximal, characteristic, complemented
2#14542415C211yesmaximal, characteristic, complemented
3#14541008C211yesmaximal, characteristic, complemented
4#14541001C211yesmaximal, characteristic, complemented
5#14540918C211yesmaximal, characteristic, complemented
6#14540866C211yesmaximal, characteristic, complemented
7#14540824C211yesmaximal, characteristic, complemented
8#14540801C211yesmaximal, characteristic, complemented
9#14540627C211yesmaximal, characteristic, complemented
10#14540604C211yesmaximal, characteristic, complemented
11#14540485C211yesmaximal, characteristic, complemented
12#14540478C211yesmaximal, characteristic, complemented
13#14540413C211yesmaximal, characteristic, complemented
14#14540378C211yesmaximal, characteristic, complemented
15#14540309C211yesmaximal, characteristic, complemented
16#14540292C211yesmaximal, characteristic, complemented
17#14540283C211yesmaximal, characteristic, complemented
18#14540273C211yesmaximal, characteristic, complemented
19#14539876C211yesmaximal, characteristic, complemented
20#14539854C211yesmaximal, characteristic, complemented
21#14539657C211yesmaximal, characteristic, complemented
22#14539630C211yesmaximal, characteristic, complemented
23#14539612C211yesmaximal, characteristic, complemented
24#14539574C211yesmaximal, characteristic, complemented
25#14539030C211yesmaximal, characteristic, complemented
26#14538961C211yesmaximal, characteristic, complemented
27#14538061C211yesmaximal, characteristic, complemented
28#14538008C211yesmaximal, characteristic, complemented
29D17×#450C211yesmaximal, characteristic, complemented
30#14537827C211yesmaximal, characteristic, complemented
31C17×#3012C211yesmaximal, characteristic, complemented
32C22×D4×D17C2211yescharacteristic
33C2×#10587637C2211yescharacteristic, complemented
34C2×#10587597C2211yescharacteristic, complemented
35C2×#10587597C2211yescharacteristic, complemented
36C22×#63229C2211yescharacteristic, complemented
37C2×SD16×D17C2211yescharacteristic, complemented
38C2×SD16×D17C2211yescharacteristic, complemented
39#11763560—21no—
40#11763554—21no—
41#11763530C2211yescharacteristic, complemented
42#11763514C2211yescharacteristic, complemented
43#11763513—21no—
44#11763506—21no—
45#11763506C2211yescharacteristic, complemented
46#11763494C2211yescharacteristic, complemented
47#11763472C2211yescharacteristic, complemented
48#11763466C2211yescharacteristic, complemented
49#11763465C2211yescharacteristic, complemented
50#11763458C2211yescharacteristic, complemented
51#11763447—21no—
52#11763447—21no—
53#11763447C2211yescharacteristic
54#11763447C2211yescharacteristic
55#11763447C2211yescharacteristic
56#11763447C2211yescharacteristic
57D4×C22⋊D17—21no—
58D4×C22⋊D17—21no—
59D4×C22⋊D17C2211yescharacteristic
60D4×C22⋊D17C2211yescharacteristic
61D4×C22⋊D17C2211yescharacteristic
62D4×C22⋊D17C2211yescharacteristic
63#11763426—21no—
64#11763426C2211yescharacteristic, complemented
65#11763419C2211yescharacteristic, complemented
66#11763404—21no—
67#11763391—21no—
68#11763391—21no—
69#11763380C2211yescharacteristic, complemented
70#11763373C2211yescharacteristic
71#11763373C2211yescharacteristic
72#11763368—21no—
73#11763368—21no—
74#11763319C2211yescharacteristic, complemented
75#11763316C2211yescharacteristic
76#11763316C2211yescharacteristic
77C22⋊Q8×D17C2211yescharacteristic, complemented
78C2×#10587623—21no—
79C2×#10587623—21no—
80#11763284C2211yescharacteristic
81#11763202C2211yescharacteristic, complemented
82#11763197C2211yescharacteristic, complemented
83#11763190C2211yescharacteristic, complemented
84#11763180C2211yescharacteristic, complemented
85#11763172C2211yescharacteristic, complemented
86#11763170C2211yescharacteristic, complemented
87#11763165C2211yescharacteristic, complemented
88#11763154C2211yescharacteristic, complemented
89#11763151C2211yescharacteristic, complemented
90#11763151C2211yescharacteristic, complemented
91#11763149C2211yescharacteristic, complemented
92#11763147C2211yescharacteristic, complemented
93#11763143C2211yescharacteristic, complemented
94#11763134C2211yescharacteristic, complemented
95#11763134C2211yescharacteristic, complemented
96#11763132C2211yescharacteristic, complemented
97#11763130C2211yescharacteristic, complemented
98#11763127C2211yescharacteristic, complemented
99#11763126C2211yescharacteristic, complemented
100#11763122C2211yescharacteristic, complemented
101#11763111C2211yescharacteristic, complemented
102#11763107C2211yescharacteristic, complemented
103#11763097C2211yescharacteristic, complemented
104#11763087C2211yescharacteristic, complemented
105#11763066C2211yescharacteristic, complemented
106#11763064C2211yescharacteristic, complemented
107#11763060C2211yescharacteristic, complemented
108#11763057C2211yescharacteristic, complemented
109#11763055C2211yescharacteristic, complemented
110#11763055C2211yescharacteristic, complemented
111#11763054C2211yescharacteristic, complemented
112#11763052C2211yescharacteristic, complemented
113#11763049C2211yescharacteristic, complemented
114#11763043C2211yescharacteristic, complemented
115#11763042C2211yescharacteristic, complemented
116#11763040C2211yescharacteristic, complemented
117#11763038C2211yescharacteristic, complemented
118#11763038C2211yescharacteristic, complemented
119#11763037C2211yescharacteristic, complemented
120#11763035C2211yescharacteristic, complemented
121#11763034C2211yescharacteristic, complemented
122#11763034C2211yescharacteristic, complemented
123#11763033C2211yescharacteristic, complemented
124#11763026C2211yescharacteristic, complemented
125#11763022C2211yescharacteristic, complemented
126#11763022C2211yescharacteristic, complemented
127#11763012C2211yescharacteristic, complemented
128#11763012C2211yescharacteristic, complemented
129#11763008C2211yescharacteristic, complemented
130#11763008C2211yescharacteristic, complemented
131#11763007C2211yescharacteristic, complemented
132#11763002C2211yescharacteristic, complemented
133#11762971C2211yescharacteristic, complemented
134#11762971C2211yescharacteristic, complemented
135#11762971C2211yescharacteristic, complemented
136#11762971C2211yescharacteristic, complemented
137#11762968C2211yescharacteristic, complemented
138#11762963C2211yescharacteristic, complemented
139#11762962C2211yescharacteristic, complemented
140#11762962C2211yescharacteristic, complemented
141#11762961C2211yescharacteristic, complemented
142#11762961C2211yescharacteristic, complemented
143#11762961C2211yescharacteristic, complemented
144#11762961C2211yescharacteristic, complemented
145#11762960C2211yescharacteristic
146#11762960C2211yescharacteristic
147#11762960C2211yescharacteristic, complemented
148#11762960C2211yescharacteristic, complemented
149#11762959C2211yescharacteristic, complemented
150#11762958C2211yescharacteristic, complemented
151#11762958C2211yescharacteristic, complemented
152#11762954C2211yescharacteristic, complemented
153#11762954C2211yescharacteristic, complemented
154#11762951C2211yescharacteristic, complemented
155#11762950C2211yescharacteristic, complemented
156#11762950C2211yescharacteristic, complemented
157#11762946C2211yescharacteristic, complemented
158#11762942C2211yescharacteristic, complemented
159#11762941C2211yescharacteristic, complemented
160#11762941C2211yescharacteristic, complemented
161#11762921C2211yescharacteristic, complemented
162#11762910C2211yescharacteristic, complemented
163#11762906C2211yescharacteristic, complemented
164#11762906C2211yescharacteristic, complemented
165#11762900C2211yescharacteristic, complemented
166#11762900C2211yescharacteristic, complemented
167SD16×Dic17C2211yescharacteristic, complemented
168D8×Dic17C2211yescharacteristic, complemented
169#11762885C2211yescharacteristic, complemented
170#11762884C2211yescharacteristic, complemented
171#11762883C2211yescharacteristic, complemented
172#11762880C2211yescharacteristic, complemented
173#11762878C2211yescharacteristic, complemented
174#11762877C2211yescharacteristic, complemented
175C8×C22⋊D17C2211yescharacteristic, complemented
176#11762872C2211yescharacteristic, complemented
177#11762867C2211yescharacteristic, complemented
178#11762867C2211yescharacteristic, complemented
179#11762814C2211yescharacteristic, complemented
180#11762812C2211yescharacteristic, complemented
181#11762812C2211yescharacteristic, complemented
182#11762805C2211yescharacteristic, complemented
183#102×D17C2211yescharacteristic, complemented
184#102×D17C2211yescharacteristic, complemented
185#11762776C2211yescharacteristic, complemented
186#11762771C2211yescharacteristic, complemented
187C22⋊C8×D17C2211yescharacteristic, complemented
188C2×C17×H(5,𝔽2)C2211yescharacteristic
189C2×C17×AGL(1,ℤ/8)C2211yescharacteristic, complemented
190C2×C17×#135C2211yescharacteristic, complemented
191C17×#537C2211yescharacteristic, complemented
192C17×#452C2211yescharacteristic, complemented
193C17×#452C2211yescharacteristic, complemented
194C17×#450C2211yescharacteristic
195C17×#450C2211yescharacteristic, complemented
196C17×#449C2211yescharacteristic, complemented
197C17×#449C2211yescharacteristic, complemented
198C17×#447C2211yescharacteristic
199C17×#447C2211yescharacteristic, complemented
200C17×#417C2211yescharacteristic, complemented
201C2×C17×#102C2211yescharacteristic, complemented
202C17×#408C2211yescharacteristic, complemented
203C24×D17—21no—
204C17×H(5,𝔽2)—42no—
205C17×H(5,𝔽2)—42no—
206C2×#41×C17—21no—
207C2×#41×C17C2311yescharacteristic
208C2×#41×C17C2311yescharacteristic
209C2×#41×C17C2311yescharacteristic
210C2×#41×C17C2311yescharacteristic
211C2×#41×C17C2311yescharacteristic, complemented
212C22×D4×C17—21no—
213C22×D4×C17—21no—
214C22×D4×C17—21no—
215C22×D4×C17C2311yescharacteristic
216C22×D4×C17C2311yescharacteristic
217C22×D4×C17C2311yescharacteristic
218C22×C22⋊D17—21no—
219C22×C22⋊D17—21no—
220C22×C22⋊D17—21no—
221C22×C22⋊D17—21no—
222C22×C22⋊D17—21no—
223C2×Q8×D17C2311yescharacteristic
224C2×#63254C2311yescharacteristic
225C2×D4×D17—21no—
226C2×D4×D17—21no—
227C2×D4×D17—42no—
228C2×D4×D17—42no—
229C2×D4×D17C2311yescharacteristic
230C2×D4×D17C2311yescharacteristic
231C2×D4×D17C2311yescharacteristic
232C2×D4×D17C2311yescharacteristic
233C22×D68C2311yescharacteristic
234C22×C4×D17C2311yescharacteristic
235C22×Dic34C2311yescharacteristic, complemented
236C17×AGL(1,ℤ/8)—42no—
237C17×#135—42no—
238C2×Q16×C17C2311yescharacteristic, complemented
239C2×SD16×C17C2311yescharacteristic
240C2×SD16×C17C2311yescharacteristic
241C2×SD16×C17C2311yescharacteristic, complemented
242C2×SD16×C17C2311yescharacteristic, complemented
243C2×D8×C17C2311yescharacteristic
244C2×D8×C17C2311yescharacteristic
245C2×D8×C17C2311yescharacteristic, complemented
246C2×M16×C17C2311yescharacteristic, complemented
247C22×C8×C17C2311yescharacteristic, complemented
248C17×C22⋊Q8—21no—
249C17×C22⋊Q8C2311yescharacteristic
250C17×C22⋊Q8C2311yescharacteristic, complemented
251C17×#121—21no—
252C17×#121—21no—
253C17×#121—21no—
254C17×#121C2311yescharacteristic
255C17×#121C2311yescharacteristic, complemented
256C2×C4⋊C4×C17C2311yescharacteristic, complemented
257#10587639—21no—
258#10587639—21no—
259#10587639—21no—
260#10587639—21no—
261C2×C22⋊Dic17—21no—
262C2×C22⋊Dic17—21no—
263#10587637—42no—
264#10587633—21no—
265#10587633C2311yescharacteristic
266#10587633C2311yescharacteristic
267#10587632D411yescharacteristic
268#10587632D411yescharacteristic
269#10587632C2311yescharacteristic
270#10587632C2311yescharacteristic
271#10587632C2311yescharacteristic
272Q8×Dic17C2311yescharacteristic, complemented
273#10587630—21no—
274#10587630C2311yescharacteristic, complemented
275C2×#63231C2311yescharacteristic, complemented
276C2×#63231C2311yescharacteristic, complemented
277C2×#63230C2311yescharacteristic
278C2×#63230C2311yescharacteristic
279#10587626—21no—
280#10587626C2311yescharacteristic
281#10587626C2311yescharacteristic
282#10587625—21no—
283#10587625—21no—
284#10587625—21no—
285#10587625—21no—
286#10587625—21no—
287#10587625—21no—
288#10587625—21no—
289#10587625—21no—
290#10587625—21no—
291#10587625—21no—
292#10587624—21no—
293#10587624—21no—
294#10587624D411yescharacteristic
295#10587624D411yescharacteristic
296#10587624C2311yescharacteristic
297#10587624C2311yescharacteristic
298#10587624C2311yescharacteristic
299#10587623—21no—
300#10587623—21no—
301#10587623—21no—
302#10587623—21no—
303#10587623—21no—
304#10587623—21no—
305#10587623—21no—
306#10587623—21no—
307#10587623—21no—
308#10587623—21no—
309#10587623—21no—
310#10587623—21no—
311#10587623—21no—
312#10587623—21no—
313#10587623D411yescharacteristic
314#10587623D411yescharacteristic
315#10587622—21no—
316#10587622—21no—
317#10587622—21no—
318#10587622C2311yescharacteristic, complemented
319#10587621—21no—
320#10587621—21no—
321#10587621—21no—
322#10587621—21no—
323#10587621—21no—
324#10587621—21no—
325#10587621D411yescharacteristic
326#10587621D411yescharacteristic
327D4×Dic17—21no—
328D4×Dic17—21no—
329D4×Dic17—21no—
330D4×Dic17—21no—
331D4×Dic17C2311yescharacteristic
332D4×Dic17C2311yescharacteristic
333D4×Dic17C2311yescharacteristic
334D4×Dic17C2311yescharacteristic
335D4×Dic17C2311yescharacteristic, complemented
336C2×#63229—42no—
337C2×#63229C2311yescharacteristic
338C2×#63229C2311yescharacteristic
339C2×#63229C2311yescharacteristic
340C2×#63229C2311yescharacteristic
341C2×#63229C2311yescharacteristic, complemented
342C2×#63229C2311yescharacteristic, complemented
343C2×#63228C2311yescharacteristic
344C2×#63228C2311yescharacteristic
345#10587616—21no—
346#10587616—21no—
347#10587616C2311yescharacteristic
348#10587616C2311yescharacteristic
349#10587616C2311yescharacteristic
350#10587616C2311yescharacteristic
351#10587615—21no—
352#10587615—21no—
353#10587615—21no—
354#10587615—21no—
355#10587615—21no—
356#10587615—21no—
357C4×C22⋊D17—21no—
358C4×C22⋊D17—21no—
359C4×C22⋊D17—21no—
360C4×C22⋊D17—21no—
361C4×C22⋊D17C2311yescharacteristic
362C4×C22⋊D17C2311yescharacteristic
363C4×C22⋊D17C2311yescharacteristic
364C4×C22⋊D17C2311yescharacteristic
365C2×#63227—21no—
366C2×#63227—21no—
367C2×#63227—21no—
368C2×#63227—21no—
369#10587612—21no—
370#10587612C2311yescharacteristic
371#10587612C2311yescharacteristic
372#10587612C2311yescharacteristic, complemented
373#10587610—21no—
374#10587610—21no—
375#10587610C2311yescharacteristic
376#10587610C2311yescharacteristic
377#10587610C2311yescharacteristic, complemented
378#10587610C2311yescharacteristic, complemented
379C2×#63225—21no—
380C2×#63223C2311yescharacteristic, complemented
381C22×#3622C2311yescharacteristic, complemented
382SD16×D17—42no—
383SD16×D17—42no—
384#10587597—42no—
385#10587597—42no—
386C2×#63219C2311yescharacteristic
387C2×#63219C2311yescharacteristic
388C2×#63219C2311yescharacteristic
389C2×#63219C2311yescharacteristic
390C2×#63218C2311yescharacteristic
391C2×#63218C2311yescharacteristic
392C2×C8×D17C2311yescharacteristic
393C2×C8×D17C2311yescharacteristic
394#10587584—21no—
395#10587584—21no—
396#10587583C2311yescharacteristic
397#10587583C2311yescharacteristic
398#10587582—21no—
399#10587582—21no—
400#10587582—21no—
401#10587578C2311yescharacteristic
402C4⋊C4×D17—21no—
403C4⋊C4×D17C2311yescharacteristic
404#10587576—21no—
405#10587576C2311yescharacteristic, complemented
406#10587575—21no—
407#10587575—21no—
408#10587575—21no—
409#10587574—21no—
410#10587574C2311yescharacteristic, complemented
411#10587573—21no—
412#10587573C2311yescharacteristic, complemented
413#10587573C2311yescharacteristic, complemented
414#10587571—21no—
415#10587571—21no—
416#10587569—21no—
417#10587567—21no—
418#10587567—21no—
419#10587567—21no—
420C22⋊C4×D17—21no—
421#10587565—21no—
422#10587565—21no—
423#10587565—21no—
424#10587565—21no—
425#10587565—21no—
426#10587564—21no—
427#10587564—21no—
428#10587564—21no—
429#10587564—21no—
430C17×#103C2311yescharacteristic, complemented
431C17×#103C2311yescharacteristic, complemented
432C17×#102C2311yescharacteristic
433C17×#102C2311yescharacteristic
434C17×#102C2311yescharacteristic
435C17×#102C2311yescharacteristic
436C17×#102C2311yescharacteristic, complemented
437C17×#102C2311yescharacteristic, complemented
438C17×C22⋊C8C2311yescharacteristic
439C17×C22⋊C8C2311yescharacteristic
440C17×C22⋊C8C2311yescharacteristic, complemented
441C17×C22⋊C8C2311yescharacteristic, complemented
442#10587506C2311yescharacteristic, complemented
443#10587506C2311yescharacteristic, complemented
444#10587506C2311yescharacteristic, complemented
445#10587506C2311yescharacteristic, complemented
446#10587503C2311yescharacteristic
447#10587503C2311yescharacteristic
448#10587503C2311yescharacteristic
449#10587503C2311yescharacteristic
450#10587503C2311yescharacteristic, complemented
451#10587503C2311yescharacteristic, complemented
452#10587503C2311yescharacteristic, complemented
453#10587503C2311yescharacteristic, complemented
454C22⋊#3622C2311yescharacteristic
455C22⋊#3622C2311yescharacteristic
456C22⋊#3622C2311yescharacteristic, complemented
457C22⋊#3622C2311yescharacteristic, complemented
458#10587492C2311yescharacteristic
459#10587492C2311yescharacteristic
460#10587492C2311yescharacteristic
461#10587492C2311yescharacteristic
462#10587491C2311yescharacteristic
463#10587491C2311yescharacteristic
464#10587491C2311yescharacteristic
465#10587491C2311yescharacteristic
466#10587489C2311yescharacteristic, complemented
467#10587489C2311yescharacteristic, complemented
468#10587488C2311yescharacteristic, complemented
469#10587488C2311yescharacteristic, complemented
470#10587487C2311yescharacteristic, complemented
471#10587487C2311yescharacteristic, complemented
472#10587487C2311yescharacteristic, complemented
473#10587487C2311yescharacteristic, complemented
474#10587486C2311yescharacteristic, complemented
475#10587486C2311yescharacteristic, complemented
476#10587485C2311yescharacteristic, complemented
477#10587485C2311yescharacteristic, complemented
478#10587485C2311yescharacteristic, complemented
479#10587485C2311yescharacteristic, complemented
480C8×Dic17C2311yescharacteristic, complemented
481C8×Dic17C2311yescharacteristic, complemented
482#10587480C2311yescharacteristic
483#10587480C2311yescharacteristic
484#10587480C2311yescharacteristic
485#10587480C2311yescharacteristic
486#10587479C2311yescharacteristic, complemented
487#10587479C2311yescharacteristic, complemented
488#10587478C2311yescharacteristic, complemented
489#10587478C2311yescharacteristic, complemented
490C24×C17—21no—
491C24×C17—21no—
492C24×C17—21no—
493C23×D17—21no—
494C23×D17—21no—
495C23×D17—21no—
496C23×D17—21no—
497C23×D17—21no—
498C23×D17—44no—
499C23×D17—82no—
500C23×D17—82no—
501C23×D17C2×D411yescharacteristic
502#41×C17—22no—
503#41×C17—22no—
504#41×C17—41no—
505#41×C17—41no—
506#41×C17—41no—
507#41×C17—41no—
508#41×C17—41no—
509#41×C17—41no—
510#41×C17—41no—
511#41×C17—41no—
512#41×C17—44no—
513C2×Q8×C17C2×D411yescharacteristic
514C2×Q8×C17C2411yescharacteristic
515C2×Q8×C17C2411yescharacteristic
516C2×D4×C17—22no—
517C2×D4×C17—22no—
518C2×D4×C17—22no—
519C2×D4×C17—22no—
520C2×D4×C17—21no—
521C2×D4×C17—21no—
522C2×D4×C17—21no—
523C2×D4×C17—21no—
524C2×D4×C17—21no—
525C2×D4×C17—21no—
526C2×D4×C17—21no—
527C2×D4×C17—21no—
528C2×D4×C17—21no—
529C2×D4×C17—41no—
530C2×D4×C17—41no—
531C2×D4×C17—44no—
532C2×D4×C17—44no—
533C2×D4×C17—44no—
534C2×D4×C17C2×D411yescharacteristic
535C2×D4×C17C2×D411yescharacteristic
536C2×D4×C17C2×D411yescharacteristic
537C2×D4×C17C2411yescharacteristic
538C2×D4×C17C2411yescharacteristic
539C2×D4×C17C2411yescharacteristic
540C2×D4×C17C2411yescharacteristic
541C22×C4×C17—21no—
542C22×C4×C17—21no—
543C22×C4×C17—21no—
544C22×C4×C17—21no—
545C22×C4×C17—21no—
546C22×C4×C17C2411yescharacteristic
547C22×C4×C17C2411yescharacteristic
548C22×C4×C17C2411yescharacteristic
549C2×C22⋊D17—21no—
550C2×C22⋊D17—21no—
551C2×C22⋊D17—21no—
552C2×C22⋊D17—21no—
553C2×C22⋊D17—21no—
554C2×C22⋊D17—21no—
555C2×C22⋊D17—21no—
556C2×C22⋊D17—21no—
557C2×C22⋊D17—21no—
558C2×C22⋊D17—21no—
559C2×C22⋊D17—21no—
560C2×C22⋊D17—21no—
561C2×C22⋊D17—21no—
562C2×C22⋊D17—21no—
563C2×C22⋊D17—21no—
564C2×C22⋊D17—21no—
565C2×C22⋊D17—44no—
566C2×C22⋊D17—82no—
567C2×C22⋊D17—82no—
568C2×C22⋊D17—82no—
569C2×C22⋊D17—82no—
570C2×C22⋊D17C2×D411yescharacteristic
571C2×C22⋊D17C2×D411yescharacteristic
572C2×C22⋊D17C2×D411yescharacteristic
573C2×C22⋊D17C2×D411yescharacteristic
574C22×Dic17—21no—
575C22×Dic17—21no—
576C22×Dic17—21no—
577C22×Dic17—21no—
578C22×Dic17—21no—
579C22×Dic17—21no—
580C22×Dic17—21no—
581C22×Dic17C2×D411yescharacteristic
582Q8×D17—41no—
583Q8×D17—41no—
584#63254—41no—
585#63254—41no—
586D4×D17—22no—
587D4×D17—22no—
588D4×D17—22no—
589D4×D17—22no—
590D4×D17—41no—
591D4×D17—41no—
592D4×D17—41no—
593D4×D17—41no—
594D4×D17—44no—
595D4×D17—44no—
596C2×D68—21no—
597C2×D68—41no—
598C2×D68—41no—
599C2×D68C2411yescharacteristic
600C2×D68C2411yescharacteristic
601C2×C4×D17—21no—
602C2×C4×D17—21no—
603C2×C4×D17—41no—
604C2×C4×D17—41no—
605C2×C4×D17C2×D411yescharacteristic
606C2×C4×D17C2×D411yescharacteristic
607C2×C4×D17C2411yescharacteristic
608C2×C4×D17C2411yescharacteristic
609C2×Dic34—21no—
610C2×Dic34—21no—
611C2×Dic34—21no—
612C2×Dic34—41no—
613C2×Dic34—41no—
614C2×Dic34C2411yescharacteristic
615C2×Dic34C2411yescharacteristic
616Q16×C17—41no—
617SD16×C17—22no—
618SD16×C17—22no—
619SD16×C17—41no—
620SD16×C17—41no—
621D8×C17—22no—
622D8×C17—22no—
623D8×C17—41no—
624M16×C17—41no—
625C2×C8×C17—41no—
626C2×C8×C17C2411yescharacteristic
627C2×C8×C17C2411yescharacteristic
628C2×C8×C17C2411yescharacteristic
629C2×C8×C17C2411yescharacteristic
630C4⋊C4×C17—21no—
631C4⋊C4×C17—21no—
632C4⋊C4×C17—21no—
633C4⋊C4×C17C2411yescharacteristic
634C4⋊C4×C17C2411yescharacteristic
635C22⋊C4×C17—21no—
636C22⋊C4×C17—21no—
637C22⋊C4×C17—21no—
638C22⋊C4×C17—21no—
639C22⋊Dic17—21no—
640C22⋊Dic17—21no—
641C22⋊Dic17—21no—
642C22⋊Dic17—21no—
643C22⋊Dic17—21no—
644C22⋊Dic17—21no—
645C22⋊Dic17—21no—
646C22⋊Dic17—21no—
647C22⋊Dic17—21no—
648C22⋊Dic17—21no—
649C22⋊Dic17—21no—
650C22⋊Dic17—21no—
651C22⋊Dic17—21no—
652C22⋊Dic17—21no—
653C22⋊Dic17—21no—
654C22⋊Dic17—21no—
655C22⋊Dic17C2×D411yescharacteristic
656C22⋊Dic17C2×D411yescharacteristic
657C22⋊Dic17C2×D411yescharacteristic
658C22⋊Dic17C2×D411yescharacteristic
659C22⋊Dic17C2×D411yescharacteristic
660C22⋊Dic17C2×D411yescharacteristic
661#63231—41no—
662#63231—41no—
663#63230—41no—
664#63230—41no—
665#63229—22no—
666#63229—22no—
667#63229—22no—
668#63229—22no—
669#63229—41no—
670#63229—41no—
671#63228—41no—
672#63228—41no—
673#63227—21no—
674#63227—21no—
675#63227—21no—
676#63227—21no—
677#63227—21no—
678#63227—21no—
679#63227—21no—
680#63227—21no—
681#63227—21no—
682#63227—21no—
683#63227—21no—
684#63227—21no—
685#63227—21no—
686#63227—21no—
687#63227C2×D411yescharacteristic
688#63227C2×D411yescharacteristic
689#63227C2×D411yescharacteristic
690#63227C2×D411yescharacteristic
691C4⋊Dic17—21no—
692C4⋊Dic17—21no—
693C4⋊Dic17—21no—
694C4⋊Dic17—21no—
695C4⋊Dic17C2×D411yescharacteristic
696C4⋊Dic17C2×D411yescharacteristic
697C4⋊Dic17C2411yescharacteristic
698C4⋊Dic17C2411yescharacteristic
699C4⋊Dic17C2411yescharacteristic
700C4⋊Dic17C2411yescharacteristic
701#63225—21no—
702#63225—21no—
703#63225—21no—
704#63225—21no—
705#63225—21no—
706#63225—21no—
707#63225—21no—
708#63225—21no—
709#63225—21no—
710#63225—21no—
711#63225—21no—
712#63225—21no—
713#63225—21no—
714#63225—21no—
715#63225C2×D411yescharacteristic
716#63225C2×D411yescharacteristic
717#63225C2×D411yescharacteristic
718#63225C2×D411yescharacteristic
719C4×Dic17—21no—
720C4×Dic17—21no—
721C4×Dic17—21no—
722C4×Dic17—21no—
723C4×Dic17—21no—
724C4×Dic17—21no—
725C4×Dic17C2411yescharacteristic
726C4×Dic17C2411yescharacteristic
727#63223—41no—
728C2×#3622—41no—
729C2×#3622C2411yescharacteristic
730C2×#3622C2411yescharacteristic
731C2×#3622C2411yescharacteristic
732C2×#3622C2411yescharacteristic
733#63219—41no—
734#63219—41no—
735#63219—41no—
736#63219—41no—
737#63218—41no—
738#63218—41no—
739C8×D17—41no—
740C8×D17—41no—
741#61610—171nomaximal, Sylow
742C23×C17—24no—
743C23×C17—21no—
744C23×C17—21no—
745C23×C17—21no—
746C23×C17—21no—
747C23×C17—42no—
748C23×C17—42no—
749C23×C17—81no—
750C23×C17—81no—
751C23×C17—81no—
752C23×C17—81no—
753C23×C17—81no—
754C23×C17—81no—
755C23×C17C22×D411yescharacteristic
756C23×C17C22×D411yescharacteristic
757C23×C17C22×D411yescharacteristic
758C22×D17—22no—
759C22×D17—21no—
760C22×D17—21no—
761C22×D17—41no—
762C22×D17—41no—
763C22×D17—42no—
764C22×D17—42no—
765C22×D17—42no—
766C22×D17—42no—
767C22×D17—42no—
768C22×D17—42no—
769C22×D17—42no—
770C22×D17—42no—
771C22×D17—42no—
772C22×D17—81no—
773C22×D17—81no—
774C22×D17—81no—
775C22×D17—81no—
776C22×D17—81no—
777C22×D17—81no—
778C22×D17—816no—
779C22×D17C22×D411yescharacteristic
780C22×D17C22×D411yescharacteristic
781Q8×C17—21no—
782Q8×C17—21no—
783Q8×C17—21no—
784Q8×C17—21no—
785Q8×C17—41no—
786D4×C17—24no—
787D4×C17—21no—
788D4×C17—21no—
789D4×C17—21no—
790D4×C17—21no—
791D4×C17—21no—
792D4×C17—21no—
793D4×C17—41no—
794D4×C17—41no—
795D4×C17—41no—
796D4×C17—42no—
797D4×C17—42no—
798D4×C17—42no—
799D4×C17—42no—
800D4×C17—42no—
801D4×C17—81no—
802D4×C17—81no—
803D4×C17—81no—
804D4×C17H(5,𝔽2)12yes—
805D4×C17H(5,𝔽2)12yes—
806C2×C4×C17—21no—
807C2×C4×C17—21no—
808C2×C4×C17—21no—
809C2×C4×C17—21no—
810C2×C4×C17—21no—
811C2×C4×C17—21no—
812C2×C4×C17—21no—
813C2×C4×C17—21no—
814C2×C4×C17—21no—
815C2×C4×C17—21no—
816C2×C4×C17—42no—
817C2×C4×C17—42no—
818C2×C4×C17—42no—
819C2×C4×C17—81no—
820C2×C4×C17—81no—
821C2×C4×C17C22×D411yescharacteristic
822C2×C4×C17C22×D411yescharacteristic
823C2×C4×C17C22×D411yescharacteristic
824C2×C4×C17C2511yescharacteristic
825C22⋊D17—22no—
826C22⋊D17—22no—
827C22⋊D17—41no—
828C22⋊D17—41no—
829C22⋊D17—42no—
830C22⋊D17—42no—
831C22⋊D17—42no—
832C22⋊D17—42no—
833C22⋊D17—42no—
834C22⋊D17—42no—
835C22⋊D17—42no—
836C22⋊D17—81no—
837C22⋊D17—81no—
838C22⋊D17—81no—
839C22⋊D17—81no—
840C22⋊D17—81no—
841C22⋊D17—81no—
842C22⋊D17—81no—
843C22⋊D17—81no—
844C22⋊D17—81no—
845C2×Dic17—21no—
846C2×Dic17—21no—
847C2×Dic17—21no—
848C2×Dic17—21no—
849C2×Dic17—21no—
850C2×Dic17—21no—
851C2×Dic17—41no—
852C2×Dic17—81no—
853C2×Dic17—81no—
854C2×Dic17—81no—
855C2×Dic17—81no—
856C2×Dic17—81no—
857C2×Dic17—81no—
858C2×Dic17—81no—
859C2×Dic17C22×D411yescharacteristic
860C2×Dic17C22×D411yescharacteristic
861C2×Dic17C22×D411yescharacteristic
862C2×Dic17C22×D411yescharacteristic
863C2×Dic17C22×D411yescharacteristic
864C2×Dic17C22×D411yescharacteristic
865D68—21no—
866D68—21no—
867D68—21no—
868D68—21no—
869D68—42no—
870C4×D17—21no—
871C4×D17—21no—
872C4×D17—21no—
873C4×D17—21no—
874C4×D17—41no—
875C4×D17—41no—
876C4×D17—81no—
877C4×D17—81no—
878Dic34—21no—
879Dic34—21no—
880Dic34—21no—
881Dic34—21no—
882Dic34—81no—
883Dic34—81no—
884Dic34—81no—
885C8×C17—21no—
886C8×C17—21no—
887C8×C17—21no—
888C8×C17—21no—
889#3622—21no—
890#3622—21no—
891#3622—21no—
892#3622—21no—
893#3541—171no—
894#3484—171no—
895#3324—171no—
896#3323—171no—
897#3318—171no—
898#3314—171no—
899#3311—171no—
900#3310—171no—
901#3297—171no—
902#3295—171no—
903#3282—171no—
904D4×SD16—171no—
905#3275—171no—
906#3272—171no—
907#3267—171no—
908#3266—171no—
909#3265—171no—
910#3265—171no—
911#3224—171no—
912#3222—171no—
913#3200—171no—
914#3198—171no—
915#3196—171no—
916#3191—171no—
917#3123—171no—
918#3118—171no—
919#3012D1711yescharacteristic, complemented
920#3009—171no—
921#3003—171no—
922C2×#450—171no—
923#2976—171no—
924C22×C17—21no—
925C22×C17—21no—
926C22×C17—21no—
927C22×C17—21no—
928C22×C17—21no—
929C22×C17—22no—
930C22×C17—22no—
931C22×C17—21no—
932C22×C17—21no—
933C22×C17—21no—
934C22×C17—21no—
935C22×C17—41no—
936C22×C17—41no—
937C22×C17—41no—
938C22×C17—41no—
939C22×C17—41no—
940C22×C17—41no—
941C22×C17—41no—
942C22×C17—41no—
943C22×C17—41no—
944C22×C17—41no—
945C22×C17—84no—
946C22×C17—162no—
947C22×C17—162no—
948C22×C17C23×D411yescharacteristic
949C2×D17—21no—
950C2×D17—21no—
951C2×D17—21no—
952C2×D17—21no—
953C2×D17—21no—
954C2×D17—44no—
955C2×D17—41no—
956C2×D17—41no—
957C2×D17—41no—
958C2×D17—41no—
959C2×D17—41no—
960C2×D17—41no—
961C2×D17—84no—
962C2×D17—84no—
963C2×D17—84no—
964C2×D17—84no—
965C2×D17—84no—
966C2×D17#57712yes—
967C4×C17—21no—
968C4×C17—21no—
969C4×C17—21no—
970C4×C17—41no—
971C4×C17—41no—
972C4×C17—41no—
973C4×C17—41no—
974C4×C17C2×H(5,𝔽2)11yescharacteristic
975C4×C17C2×H(5,𝔽2)11yescharacteristic
976Dic17—21no—
977Dic17—21no—
978Dic17—21no—
979Dic17—21no—
980Dic17—21no—
981Dic17—21no—
982Dic17—41no—
983Dic17—41no—
984Dic17—41no—
985Dic17—41no—
986Dic17—41no—
987Dic17—41no—
988C2×H(5,𝔽2)C2×D1711yescharacteristic
989C23×D4—171no—
990C2×#137—171no—
991C2×AGL(1,ℤ/8)—171no—
992C2×AGL(1,ℤ/8)—171no—
993C2×AGL(1,ℤ/8)C2×D1711yescharacteristic, complemented
994C2×#135C2×D1711yescharacteristic, complemented
995C22×SD16—171no—
996C22×SD16—171no—
997C22×SD16—171no—
998#563—341no—
999#562—341no—
1000#556—171no—
1001#554—171no—
1002#554—341no—
1003#553—171no—
1004#553—341no—
1005#552—171no—
1006D4×Q8—171no—
1007#548—171no—
1008#548—171no—
1009#547—171no—
1010#546—171no—
1011#546—171no—
1012#546—171no—
1013#546—171no—
1014#546—341no—
1015#546—341no—
1016D42—171no—
1017D42—171no—
1018D42—171no—
1019D42—171no—
1020D42—341no—
1021D42—341no—
1022#542—171no—
1023#542—341no—
1024#541—171no—
1025#539—341no—
1026#538—341no—
1027#538—341no—
1028#537C2×D1711yescharacteristic, complemented
1029#536—171no—
1030#535—171no—
1031#535—171no—
1032#534—341no—
1033#534—341no—
1034#525—171no—
1035#525—171no—
1036#525—171no—
1037C2×C22⋊Q8—171no—
1038C2×#120—341no—
1039C2×#120—341no—
1040#518—171no—
1041#497—171no—
1042#496—171no—
1043#495—171no—
1044#492—171no—
1045#490—171no—
1046#489—171no—
1047#488—171no—
1048#486—171no—
1049#485—171no—
1050#485—171no—
1051#485—171no—
1052#485—171no—
1053#484—171no—
1054#482—171no—
1055#482—171no—
1056#482—171no—
1057#482—171no—
1058#481—171no—
1059#481—171no—
1060#480—171no—
1061#478—171no—
1062#478—171no—
1063#476—171no—
1064#474—171no—
1065#470—171no—
1066#470—171no—
1067#469—171no—
1068#468—171no—
1069#468—171no—
1070#468—171no—
1071#468—171no—
1072#468—171no—
1073#467—171no—
1074#466—171no—
1075#466—171no—
1076#465—171no—
1077#465—171no—
1078#465—171no—
1079#465—171no—
1080#465—171no—
1081#464—171no—
1082#464—171no—
1083#464—171no—
1084#463—171no—
1085#463—171no—
1086#463—171no—
1087#461—171no—
1088#461—171no—
1089#460—171no—
1090#460—171no—
1091#460—171no—
1092#459—171no—
1093#452—171no—
1094#452—171no—
1095#452—171no—
1096#452—171no—
1097#452—171no—
1098#452C2×D1711yescharacteristic, complemented
1099#452C2×D1711yescharacteristic, complemented
1100#451—171no—
1101#450—171no—
1102#450—171no—
1103#450—171no—
1104#450—171no—
1105#450—171no—
1106#450—171no—
1107#450—171no—
1108#450—171no—
1109#450—171no—
1110#450—171no—
1111#450—171no—
1112#450—171no—
1113#450—171no—
1114#450C2×D1711yescharacteristic
1115#450C2×D1711yescharacteristic, complemented
1116#449—171no—
1117#449—171no—
1118#449—171no—
1119#449C2×D1711yescharacteristic, complemented
1120#449C2×D1711yescharacteristic, complemented
1121#448—171no—
1122#448—171no—
1123#448—171no—
1124#447—171no—
1125#447—171no—
1126#447—171no—
1127#447C2×D1711yescharacteristic
1128#447C2×D1711yescharacteristic, complemented
1129#442—171no—
1130#440—171no—
1131#440—171no—
1132#440—171no—
1133C4×SD16—171no—
1134C4×SD16—171no—
1135C4×SD16—171no—
1136C4×D8—171no—
1137#436—171no—
1138#436—171no—
1139#435—171no—
1140#435—171no—
1141#435—171no—
1142#435—171no—
1143C8×D4—171no—
1144C8×D4—171no—
1145#433—171no—
1146#433—171no—
1147#418—171no—
1148#418—171no—
1149#418—171no—
1150#417C2×D1711yescharacteristic, complemented
1151#416—171no—
1152C2×#102—171no—
1153C2×#102—171no—
1154C2×#102C2×D1711yescharacteristic, complemented
1155#408—171no—
1156#408C2×D1711yescharacteristic, complemented
1157#407—171no—
1158C2×C22⋊C8—171no—
1159C2×C17—41no—
1160C2×C17—42no—
1161C2×C17—42no—
1162C2×C17—41no—
1163C2×C17—41no—
1164C2×C17—81no—
1165C2×C17—81no—
1166C2×C17#348411yescharacteristic
1167C2×C17C2×#57711yescharacteristic
1168C2×C17#358511yescharacteristic
1169D17—22no—
1170D17—41no—
1171D17—81no—
1172D17—81no—
1173C25—341no—
1174H(5,𝔽2)—42no—
1175H(5,𝔽2)—42no—
1176C2×#41—21no—
1177C2×#41—171no—
1178C2×#41C22×D1711yescharacteristic
1179C2×#41C22×D1711yescharacteristic
1180C2×#41C22×D1711yescharacteristic
1181C2×#41C22×D1711yescharacteristic
1182C2×#41C22×D1711yescharacteristic, complemented
1183C22×Q8—171no—
1184C22×Q8—171no—
1185C22×D4—21no—
1186C22×D4—21no—
1187C22×D4—21no—
1188C22×D4—171no—
1189C22×D4—171no—
1190C22×D4—171no—
1191C22×D4—171no—
1192C22×D4—171no—
1193C22×D4—341no—
1194C22×D4—341no—
1195C22×D4—341no—
1196C22×D4—341no—
1197C22×D4—341no—
1198C22×D4—341no—
1199C22×D4—341no—
1200C22×D4—682no—
1201C22×D4—682no—
1202C22×D4C22×D1711yescharacteristic
1203C22×D4C22×D1711yescharacteristic
1204C22×D4C22×D1711yescharacteristic
1205C23×C4—171no—
1206#137—682no—
1207AGL(1,ℤ/8)—42no—
1208AGL(1,ℤ/8)—682no—
1209AGL(1,ℤ/8)—682no—
1210#135—42no—
1211C2×Q16—171no—
1212C2×Q16—171no—
1213C2×Q16C22×D1711yescharacteristic, complemented
1214C2×SD16—171no—
1215C2×SD16—171no—
1216C2×SD16—171no—
1217C2×SD16—171no—
1218C2×SD16—171no—
1219C2×SD16—171no—
1220C2×SD16—171no—
1221C2×SD16—171no—
1222C2×SD16—171no—
1223C2×SD16—171no—
1224C2×SD16—171no—
1225C2×SD16—171no—
1226C2×SD16—682no—
1227C2×SD16—682no—
1228C2×SD16—682no—
1229C2×SD16C22×D1711yescharacteristic
1230C2×SD16C22×D1711yescharacteristic
1231C2×SD16C22×D1711yescharacteristic, complemented
1232C2×SD16C22×D1711yescharacteristic, complemented
1233C2×D8—171no—
1234C2×D8—171no—
1235C2×D8C22×D1711yescharacteristic
1236C2×D8C22×D1711yescharacteristic
1237C2×D8C22×D1711yescharacteristic, complemented
1238C2×M16—171no—
1239C2×M16—171no—
1240C2×M16—171no—
1241C2×M16C22×D1711yescharacteristic, complemented
1242C22×C8—171no—
1243C22×C8—171no—
1244C22×C8—171no—
1245C22×C8C22×D1711yescharacteristic, complemented
1246C4⋊Q8—171no—
1247C4⋊Q8—171no—
1248C4⋊Q8—341no—
1249C4⋊Q8—341no—
1250#127—171no—
1251#127—171no—
1252#127—341no—
1253#126—341no—
1254#126—341no—
1255#126—341no—
1256#126—341no—
1257#126—341no—
1258#126—341no—
1259#126—341no—
1260#125—171no—
1261#125—341no—
1262#125—341no—
1263#125—341no—
1264#125—341no—
1265#124—171no—
1266#124—171no—
1267#124—171no—
1268#124—341no—
1269#124—341no—
1270#124—341no—
1271#124—341no—
1272#124—341no—
1273#124—341no—
1274#123—171no—
1275#123—171no—
1276#123—341no—
1277#123—341no—
1278#123—341no—
1279#123—341no—
1280#123—341no—
1281#123—341no—
1282#123—341no—
1283#123—341no—
1284#123—341no—
1285#123—341no—
1286#123—341no—
1287#123—341no—
1288#123—341no—
1289C22⋊Q8—21no—
1290C22⋊Q8—171no—
1291C22⋊Q8—171no—
1292C22⋊Q8—171no—
1293C22⋊Q8—171no—
1294C22⋊Q8—171no—
1295C22⋊Q8—171no—
1296C22⋊Q8—171no—
1297C22⋊Q8—171no—
1298C22⋊Q8—171no—
1299C22⋊Q8—171no—
1300C22⋊Q8—171no—
1301C22⋊Q8—341no—
1302C22⋊Q8—341no—
1303C22⋊Q8—341no—
1304C22⋊Q8—341no—
1305C22⋊Q8—341no—
1306C22⋊Q8—341no—
1307C22⋊Q8—341no—
1308C22⋊Q8—341no—
1309C22⋊Q8—341no—
1310C22⋊Q8C22×D1711yescharacteristic
1311C22⋊Q8C22×D1711yescharacteristic, complemented
1312#121—21no—
1313#121—21no—
1314#121—21no—
1315#121—171no—
1316#121—171no—
1317#121—171no—
1318#121—171no—
1319#121—171no—
1320#121—171no—
1321#121—171no—
1322#121—171no—
1323#121—171no—
1324#121—341no—
1325#121—341no—
1326#121—341no—
1327#121—341no—
1328#121—341no—
1329#121—341no—
1330#121—341no—
1331#121—341no—
1332#121—341no—
1333#121—341no—
1334#121—341no—
1335#121—341no—
1336#121—341no—
1337#121—341no—
1338#121C22×D1711yescharacteristic
1339#121C22×D1711yescharacteristic, complemented
1340#120—171no—
1341#120—171no—
1342#120—341no—
1343#120—341no—
1344#120—341no—
1345#120—341no—
1346#120—341no—
1347#120—341no—
1348#120—341no—
1349#120—341no—
1350#120—341no—
1351#120—341no—
1352#120—341no—
1353#120—341no—
1354#120—341no—
1355#120—341no—
1356#120—341no—
1357#120—341no—
1358#120—341no—
1359#120—341no—
1360C4×Q8—171no—
1361C4×Q8—171no—
1362C4×Q8—171no—
1363C4×Q8—341no—
1364C4×D4—171no—
1365C4×D4—171no—
1366C4×D4—171no—
1367C4×D4—171no—
1368C4×D4—171no—
1369C4×D4—171no—
1370C4×D4—171no—
1371C4×D4—171no—
1372C4×D4—171no—
1373C4×D4—341no—
1374C4×D4—341no—
1375C4×D4—341no—
1376C4×D4—341no—
1377C4×D4—341no—
1378C4×D4—341no—
1379C4×D4—341no—
1380C4×D4—341no—
1381C4×D4—341no—
1382C4×D4—341no—
1383C4×D4—341no—
1384#117—171no—
1385#117—171no—
1386#117—171no—
1387#117—171no—
1388#117—341no—
1389C2×C4⋊C4—171no—
1390C2×C4⋊C4—341no—
1391C2×C4⋊C4—341no—
1392C2×C4⋊C4C22×D1711yescharacteristic, complemented
1393C2×C22⋊C4—341no—
1394C2×C22⋊C4—341no—
1395C2×C22⋊C4—341no—
1396C2×C22⋊C4—341no—
1397C2×C22⋊C4—341no—
1398C2×C22⋊C4—341no—
1399C2×C22⋊C4—341no—
1400#107—171no—
1401#107—171no—
1402#107—171no—
1403#107—171no—
1404#106—171no—
1405#106—171no—
1406#106—171no—
1407#106—171no—
1408C4⋊C8—171no—
1409C4⋊C8—171no—
1410C4⋊C8—171no—
1411C4⋊C8—171no—
1412#103—171no—
1413#103—171no—
1414#103—171no—
1415#103—171no—
1416#103—171no—
1417#103—171no—
1418#103—171no—
1419#103—171no—
1420#103C22×D1711yescharacteristic, complemented
1421#103C22×D1711yescharacteristic, complemented
1422#102—171no—
1423#102—171no—
1424#102—171no—
1425#102—171no—
1426#102—171no—
1427#102—171no—
1428#102—171no—
1429#102—171no—
1430#102—171no—
1431#102—171no—
1432#102—171no—
1433#102—171no—
1434#102—171no—
1435#102—171no—
1436#102—171no—
1437#102—171no—
1438#102C22×D1711yescharacteristic
1439#102C22×D1711yescharacteristic
1440#102C22×D1711yescharacteristic
1441#102C22×D1711yescharacteristic
1442#102C22×D1711yescharacteristic, complemented
1443#102C22×D1711yescharacteristic, complemented
1444C22⋊C8—171no—
1445C22⋊C8—171no—
1446C22⋊C8—171no—
1447C22⋊C8—171no—
1448C22⋊C8—171no—
1449C22⋊C8—171no—
1450C22⋊C8—171no—
1451C22⋊C8—171no—
1452C22⋊C8C22×D1711yescharacteristic
1453C22⋊C8C22×D1711yescharacteristic
1454C22⋊C8C22×D1711yescharacteristic, complemented
1455C22⋊C8C22×D1711yescharacteristic, complemented
1456#97—171no—
1457#97—171no—
1458C4×C8—171no—
1459C4×C8—171no—
1460C17#6161011yescharacteristic, complemented, Sylow
1461C24—21no—
1462C24—21no—
1463C24—21no—
1464C24—171no—
1465C24—341no—
1466C24—341no—
1467C24—341no—
1468C24—341no—
1469C24—341no—
1470C24—684no—
1471C24—1362no—
1472C24—1362no—
1473#41—22no—
1474#41—22no—
1475#41—41no—
1476#41—41no—
1477#41—41no—
1478#41—41no—
1479#41—41no—
1480#41—41no—
1481#41—41no—
1482#41—41no—
1483#41—44no—
1484#41—681no—
1485#41—681no—
1486C2×Q8—171no—
1487C2×Q8—171no—
1488C2×Q8—341no—
1489C2×Q8—341no—
1490C2×Q8—341no—
1491C2×Q8—681no—
1492C2×Q8—681no—
1493C2×Q8—681no—
1494C2×Q8—681no—
1495C2×Q8D4×D1711yescharacteristic
1496C2×Q8C23×D1711yescharacteristic
1497C2×Q8C23×D1711yescharacteristic
1498C2×D4—22no—
1499C2×D4—22no—
1500C2×D4—22no—
1501C2×D4—22no—
1502C2×D4—21no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—21no—
1510C2×D4—21no—
1511C2×D4—41no—
1512C2×D4—41no—
1513C2×D4—44no—
1514C2×D4—44no—
1515C2×D4—44no—
1516C2×D4—171no—
1517C2×D4—171no—
1518C2×D4—171no—
1519C2×D4—171no—
1520C2×D4—171no—
1521C2×D4—171no—
1522C2×D4—341no—
1523C2×D4—341no—
1524C2×D4—341no—
1525C2×D4—341no—
1526C2×D4—341no—
1527C2×D4—341no—
1528C2×D4—341no—
1529C2×D4—341no—
1530C2×D4—342no—
1531C2×D4—342no—
1532C2×D4—342no—
1533C2×D4—342no—
1534C2×D4—341no—
1535C2×D4—341no—
1536C2×D4—341no—
1537C2×D4—341no—
1538C2×D4—341no—
1539C2×D4—341no—
1540C2×D4—341no—
1541C2×D4—341no—
1542C2×D4—341no—
1543C2×D4—681no—
1544C2×D4—681no—
1545C2×D4—681no—
1546C2×D4—681no—
1547C2×D4—681no—
1548C2×D4—681no—
1549C2×D4—684no—
1550C2×D4—684no—
1551C2×D4—684no—
1552C2×D4—1362no—
1553C2×D4—1362no—
1554C2×D4—1362no—
1555C2×D4—1362no—
1556C2×D4D4×D1711yescharacteristic
1557C2×D4D4×D1711yescharacteristic
1558C2×D4D4×D1711yescharacteristic
1559C2×D4C23×D1711yescharacteristic
1560C2×D4C23×D1711yescharacteristic
1561C2×D4C23×D1711yescharacteristic
1562C2×D4C23×D1711yescharacteristic
1563C22×C4—21no—
1564C22×C4—21no—
1565C22×C4—21no—
1566C22×C4—21no—
1567C22×C4—21no—
1568C22×C4—171no—
1569C22×C4—171no—
1570C22×C4—171no—
1571C22×C4—171no—
1572C22×C4—171no—
1573C22×C4—341no—
1574C22×C4—341no—
1575C22×C4—341no—
1576C22×C4—341no—
1577C22×C4—341no—
1578C22×C4—341no—
1579C22×C4—341no—
1580C22×C4—341no—
1581C22×C4—341no—
1582C22×C4—681no—
1583C22×C4—681no—
1584C22×C4C23×D1711yescharacteristic
1585C22×C4C23×D1711yescharacteristic
1586C22×C4C23×D1711yescharacteristic
1587Q16—41no—
1588Q16—681no—
1589Q16—681no—
1590SD16—22no—
1591SD16—22no—
1592SD16—41no—
1593SD16—41no—
1594SD16—342no—
1595SD16—342no—
1596SD16—342no—
1597SD16—342no—
1598SD16—681no—
1599SD16—681no—
1600SD16—681no—
1601SD16—681no—
1602SD16—681no—
1603SD16—681no—
1604SD16—681no—
1605SD16—681no—
1606D8—22no—
1607D8—22no—
1608D8—41no—
1609D8—681no—
1610D8—681no—
1611M16—41no—
1612M16—681no—
1613M16—681no—
1614M16—681no—
1615C2×C8—41no—
1616C2×C8—171no—
1617C2×C8—171no—
1618C2×C8—171no—
1619C2×C8—171no—
1620C2×C8—681no—
1621C2×C8—681no—
1622C2×C8—681no—
1623C2×C8C23×D1711yescharacteristic
1624C2×C8C23×D1711yescharacteristic
1625C2×C8C23×D1711yescharacteristic
1626C2×C8C23×D1711yescharacteristic
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—171no—
1631C4⋊C4—171no—
1632C4⋊C4—171no—
1633C4⋊C4—171no—
1634C4⋊C4—171no—
1635C4⋊C4—171no—
1636C4⋊C4—171no—
1637C4⋊C4—171no—
1638C4⋊C4—171no—
1639C4⋊C4—171no—
1640C4⋊C4—341no—
1641C4⋊C4—341no—
1642C4⋊C4—341no—
1643C4⋊C4—341no—
1644C4⋊C4—341no—
1645C4⋊C4—341no—
1646C4⋊C4—341no—
1647C4⋊C4—341no—
1648C4⋊C4—341no—
1649C4⋊C4—341no—
1650C4⋊C4—341no—
1651C4⋊C4—341no—
1652C4⋊C4—341no—
1653C4⋊C4—341no—
1654C4⋊C4—341no—
1655C4⋊C4—341no—
1656C4⋊C4—341no—
1657C4⋊C4—341no—
1658C4⋊C4C23×D1711yescharacteristic
1659C4⋊C4C23×D1711yescharacteristic
1660C22⋊C4—21no—
1661C22⋊C4—21no—
1662C22⋊C4—21no—
1663C22⋊C4—21no—
1664C22⋊C4—171no—
1665C22⋊C4—171no—
1666C22⋊C4—171no—
1667C22⋊C4—171no—
1668C22⋊C4—171no—
1669C22⋊C4—171no—
1670C22⋊C4—171no—
1671C22⋊C4—171no—
1672C22⋊C4—171no—
1673C22⋊C4—171no—
1674C22⋊C4—341no—
1675C22⋊C4—341no—
1676C22⋊C4—341no—
1677C22⋊C4—341no—
1678C22⋊C4—341no—
1679C22⋊C4—341no—
1680C22⋊C4—341no—
1681C22⋊C4—341no—
1682C22⋊C4—341no—
1683C22⋊C4—341no—
1684C22⋊C4—341no—
1685C22⋊C4—341no—
1686C22⋊C4—341no—
1687C22⋊C4—341no—
1688C22⋊C4—341no—
1689C22⋊C4—341no—
1690C22⋊C4—341no—
1691C22⋊C4—341no—
1692C22⋊C4—341no—
1693C22⋊C4—341no—
1694C22⋊C4—341no—
1695C22⋊C4—341no—
1696C22⋊C4—341no—
1697C22⋊C4—341no—
1698C22⋊C4—341no—
1699C22⋊C4—341no—
1700C22⋊C4—341no—
1701C22⋊C4—341no—
1702C22⋊C4—341no—
1703C22⋊C4—341no—
1704C42—171no—
1705C42—171no—
1706C42—341no—
1707C42—341no—
1708C42—341no—
1709C42—341no—
1710C42—341no—
1711C42—341no—
1712C23—24no—
1713C23—21no—
1714C23—21no—
1715C23—21no—
1716C23—21no—
1717C23—42no—
1718C23—42no—
1719C23—81no—
1720C23—81no—
1721C23—81no—
1722C23—81no—
1723C23—81no—
1724C23—81no—
1725C23—171no—
1726C23—171no—
1727C23—342no—
1728C23—341no—
1729C23—341no—
1730C23—681no—
1731C23—681no—
1732C23—682no—
1733C23—682no—
1734C23—682no—
1735C23—682no—
1736C23—682no—
1737C23—682no—
1738C23—682no—
1739C23—682no—
1740C23—682no—
1741C23—1361no—
1742C23—1361no—
1743C23—1361no—
1744C23—1361no—
1745C23—1361no—
1746C23—1361no—
1747C23—13616no—
1748C23C2×D4×D1711yescharacteristic
1749C23C2×D4×D1711yescharacteristic
1750C23C2×D4×D1711yescharacteristic
1751Q8—21no—
1752Q8—21no—
1753Q8—21no—
1754Q8—21no—
1755Q8—41no—
1756Q8—341no—
1757Q8—341no—
1758Q8—341no—
1759Q8—341no—
1760Q8—1361no—
1761Q8—1361no—
1762Q8—1361no—
1763D4—24no—
1764D4—21no—
1765D4—21no—
1766D4—21no—
1767D4—21no—
1768D4—21no—
1769D4—21no—
1770D4—41no—
1771D4—41no—
1772D4—41no—
1773D4—42no—
1774D4—42no—
1775D4—42no—
1776D4—42no—
1777D4—42no—
1778D4—81no—
1779D4—81no—
1780D4—81no—
1781D4—342no—
1782D4—342no—
1783D4—341no—
1784D4—341no—
1785D4—341no—
1786D4—341no—
1787D4—682no—
1788D4—681no—
1789D4—681no—
1790D4—682no—
1791D4—682no—
1792D4—682no—
1793D4—682no—
1794D4—682no—
1795D4—682no—
1796D4—682no—
1797D4—1361no—
1798D4—1361no—
1799D4—1361no—
1800D4—1361no—
1801D4—1361no—
1802D4—1361no—
1803D4—1361no—
1804D4—1361no—
1805D4—1361no—
1806D4#1058769112yes—
1807D4#1058769112yes—
1808C2×C4—21no—
1809C2×C4—21no—
1810C2×C4—21no—
1811C2×C4—21no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—42no—
1819C2×C4—42no—
1820C2×C4—42no—
1821C2×C4—81no—
1822C2×C4—81no—
1823C2×C4—171no—
1824C2×C4—171no—
1825C2×C4—171no—
1826C2×C4—171no—
1827C2×C4—171no—
1828C2×C4—171no—
1829C2×C4—341no—
1830C2×C4—341no—
1831C2×C4—341no—
1832C2×C4—341no—
1833C2×C4—341no—
1834C2×C4—341no—
1835C2×C4—341no—
1836C2×C4—341no—
1837C2×C4—341no—
1838C2×C4—341no—
1839C2×C4—681no—
1840C2×C4—681no—
1841C2×C4—681no—
1842C2×C4—1361no—
1843C2×C4—1361no—
1844C2×C4—1361no—
1845C2×C4—1361no—
1846C2×C4—1361no—
1847C2×C4—1361no—
1848C2×C4—1361no—
1849C2×C4—1361no—
1850C2×C4—1361no—
1851C2×C4C2×D4×D1711yescharacteristic
1852C2×C4C2×D4×D1711yescharacteristic
1853C2×C4C2×D4×D1711yescharacteristic
1854C2×C4C24×D1711yescharacteristic
1855C8—21no—
1856C8—21no—
1857C8—21no—
1858C8—21no—
1859C8—341no—
1860C8—341no—
1861C8—341no—
1862C8—341no—
1863C22—21no—
1864C22—21no—
1865C22—21no—
1866C22—22no—
1867C22—22no—
1868C22—21no—
1869C22—21no—
1870C22—21no—
1871C22—21no—
1872C22—21no—
1873C22—21no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—84no—
1885C22—162no—
1886C22—162no—
1887C22—172no—
1888C22—341no—
1889C22—341no—
1890C22—341no—
1891C22—341no—
1892C22—341no—
1893C22—684no—
1894C22—681no—
1895C22—681no—
1896C22—681no—
1897C22—681no—
1898C22—681no—
1899C22—681no—
1900C22—1364no—
1901C22—1364no—
1902C22—1364no—
1903C22—1364no—
1904C22—1364no—
1905C22C22×D4×D1711yescharacteristic
1906C4—21no—
1907C4—21no—
1908C4—21no—
1909C4—41no—
1910C4—41no—
1911C4—41no—
1912C4—41no—
1913C4—341no—
1914C4—341no—
1915C4—341no—
1916C4—341no—
1917C4—341no—
1918C4—341no—
1919C4—681no—
1920C4—681no—
1921C4—681no—
1922C4—681no—
1923C4—681no—
1924C4—681no—
1925C4C2×#1058769111yescharacteristic
1926C4C2×#1058769111yescharacteristic
1927C2—41no—
1928C2—41no—
1929C2—41no—
1930C2—42no—
1931C2—42no—
1932C2—81no—
1933C2—81no—
1934C2—342no—
1935C2—681no—
1936C2—1361no—
1937C2—1361no—
1938C2#1454241311yescharacteristic
1939C2D17×#57711yescharacteristic
1940C2#1454355911yescharacteristic
subgroupG/H
centerC22C22×D4×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC17×#3012C2
socleC22×C17C23×D4
hypercenter#3012D17
hypocenterC17#61610
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3012

Complements

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

NH ≅ G/Ntype
1. #14543065C2semidirect
2. #14542415C2semidirect
3. #14541008C2semidirect
4. #14541001C2semidirect
5. #14540918C2semidirect
6. #14540866C2semidirect
7. #14540824C2semidirect
8. #14540801C2semidirect
9. #14540627C2semidirect
10. #14540604C2semidirect
11. #14540485C2semidirect
12. #14540478C2semidirect
13. #14540413C2semidirect
14. #14540378C2semidirect
15. #14540309C2semidirect
16. #14540292C2semidirect
17. #14540283C2semidirect
18. #14540273C2semidirect
19. #14539876C2semidirect
20. #14539854C2semidirect
21. #14539657C2semidirect
22. #14539630C2semidirect
23. #14539612C2semidirect
24. #14539574C2semidirect
25. #14539030C2semidirect
26. #14538961C2semidirect
27. #14538061C2semidirect
28. #14538008C2semidirect
29. D17×#450C2semidirect
30. #14537827C2semidirect
31. C17×#3012C2semidirect
33. C2×#10587637C22semidirect
34. C2×#10587597C22semidirect
35. C2×#10587597C22semidirect
36. C22×#63229C22semidirect
37. C2×SD16×D17C22semidirect
38. C2×SD16×D17C22semidirect
41. #11763530C22semidirect
42. #11763514C22semidirect
45. #11763506C22semidirect
46. #11763494C22semidirect
47. #11763472C22semidirect
48. #11763466C22semidirect
49. #11763465C22semidirect
50. #11763458C22semidirect
64. #11763426C22semidirect
65. #11763419C22semidirect
69. #11763380C22semidirect
74. #11763319C22semidirect
77. C22⋊Q8×D17C22semidirect
81. #11763202C22semidirect
82. #11763197C22semidirect
83. #11763190C22semidirect
84. #11763180C22semidirect
85. #11763172C22semidirect
86. #11763170C22semidirect
87. #11763165C22semidirect
88. #11763154C22semidirect
89. #11763151C22semidirect
90. #11763151C22semidirect
91. #11763149C22semidirect
92. #11763147C22semidirect
93. #11763143C22semidirect
94. #11763134C22semidirect
95. #11763134C22semidirect
96. #11763132C22semidirect
97. #11763130C22semidirect
98. #11763127C22semidirect
99. #11763126C22semidirect
100. #11763122C22semidirect
101. #11763111C22semidirect
102. #11763107C22semidirect
103. #11763097C22semidirect
104. #11763087C22semidirect
105. #11763066C22semidirect
106. #11763064C22semidirect
107. #11763060C22semidirect
108. #11763057C22semidirect
109. #11763055C22semidirect
110. #11763055C22semidirect
111. #11763054C22semidirect
112. #11763052C22semidirect
113. #11763049C22semidirect
114. #11763043C22semidirect
115. #11763042C22semidirect
116. #11763040C22semidirect
117. #11763038C22semidirect
118. #11763038C22semidirect
119. #11763037C22semidirect
120. #11763035C22semidirect
121. #11763034C22semidirect
122. #11763034C22semidirect
123. #11763033C22semidirect
124. #11763026C22semidirect
125. #11763022C22semidirect
126. #11763022C22semidirect
127. #11763012C22semidirect
128. #11763012C22semidirect
129. #11763008C22semidirect
130. #11763008C22semidirect
131. #11763007C22semidirect
132. #11763002C22semidirect
133. #11762971C22semidirect
134. #11762971C22semidirect
135. #11762971C22semidirect
136. #11762971C22semidirect
137. #11762968C22semidirect
138. #11762963C22semidirect
139. #11762962C22semidirect
140. #11762962C22semidirect
141. #11762961C22semidirect
142. #11762961C22semidirect
143. #11762961C22semidirect
144. #11762961C22semidirect
147. #11762960C22semidirect
148. #11762960C22semidirect
149. #11762959C22semidirect
150. #11762958C22semidirect
151. #11762958C22semidirect
152. #11762954C22semidirect
153. #11762954C22semidirect
154. #11762951C22semidirect
155. #11762950C22semidirect
156. #11762950C22semidirect
157. #11762946C22semidirect
158. #11762942C22semidirect
159. #11762941C22semidirect
160. #11762941C22semidirect
161. #11762921C22semidirect
162. #11762910C22semidirect
163. #11762906C22semidirect
164. #11762906C22semidirect
165. #11762900C22semidirect
166. #11762900C22semidirect
167. SD16×Dic17C22semidirect
168. D8×Dic17C22semidirect
169. #11762885C22semidirect
170. #11762884C22semidirect
171. #11762883C22semidirect
172. #11762880C22semidirect
173. #11762878C22semidirect
174. #11762877C22semidirect
175. C8×C22⋊D17C22semidirect
176. #11762872C22semidirect
177. #11762867C22semidirect
178. #11762867C22semidirect
179. #11762814C22semidirect
180. #11762812C22semidirect
181. #11762812C22semidirect
182. #11762805C22semidirect
183. #102×D17C22semidirect
184. #102×D17C22semidirect
185. #11762776C22semidirect
186. #11762771C22semidirect
187. C22⋊C8×D17C22semidirect
189. C2×C17×AGL(1,ℤ/8)C22semidirect
190. C2×C17×#135C22semidirect
191. C17×#537C22semidirect
192. C17×#452C22semidirect
193. C17×#452C22semidirect
195. C17×#450C22semidirect
196. C17×#449C22semidirect
197. C17×#449C22semidirect
199. C17×#447C22semidirect
200. C17×#417C22semidirect
201. C2×C17×#102C22semidirect
202. C17×#408C22semidirect
211. C2×#41×C17C23semidirect
235. C22×Dic34C23semidirect
238. C2×Q16×C17C23semidirect
241. C2×SD16×C17C23semidirect
242. C2×SD16×C17C23semidirect
245. C2×D8×C17C23semidirect
246. C2×M16×C17C23semidirect
247. C22×C8×C17C23semidirect
250. C17×C22⋊Q8C23semidirect
255. C17×#121C23semidirect
256. C2×C4⋊C4×C17C23semidirect
272. Q8×Dic17C23semidirect
274. #10587630C23semidirect
275. C2×#63231C23semidirect
276. C2×#63231C23semidirect
318. #10587622C23semidirect
335. D4×Dic17C23semidirect
341. C2×#63229C23semidirect
342. C2×#63229C23semidirect
372. #10587612C23semidirect
377. #10587610C23semidirect
378. #10587610C23semidirect
380. C2×#63223C23semidirect
381. C22×#3622C23semidirect
405. #10587576C23semidirect
410. #10587574C23semidirect
412. #10587573C23semidirect
413. #10587573C23semidirect
430. C17×#103C23semidirect
431. C17×#103C23semidirect
436. C17×#102C23semidirect
437. C17×#102C23semidirect
440. C17×C22⋊C8C23semidirect
441. C17×C22⋊C8C23semidirect
442. #10587506C23semidirect
443. #10587506C23semidirect
444. #10587506C23semidirect
445. #10587506C23semidirect
450. #10587503C23semidirect
451. #10587503C23semidirect
452. #10587503C23semidirect
453. #10587503C23semidirect
456. C22⋊#3622C23semidirect
457. C22⋊#3622C23semidirect
466. #10587489C23semidirect
467. #10587489C23semidirect
468. #10587488C23semidirect
469. #10587488C23semidirect
470. #10587487C23semidirect
471. #10587487C23semidirect
472. #10587487C23semidirect
473. #10587487C23semidirect
474. #10587486C23semidirect
475. #10587486C23semidirect
476. #10587485C23semidirect
477. #10587485C23semidirect
478. #10587485C23semidirect
479. #10587485C23semidirect
480. C8×Dic17C23semidirect
481. C8×Dic17C23semidirect
486. #10587479C23semidirect
487. #10587479C23semidirect
488. #10587478C23semidirect
489. #10587478C23semidirect
919. #3012D17semidirect
993. C2×AGL(1,ℤ/8)C2×D17semidirect
994. C2×#135C2×D17semidirect
1028. #537C2×D17semidirect
1098. #452C2×D17semidirect
1099. #452C2×D17semidirect
1115. #450C2×D17semidirect
1119. #449C2×D17semidirect
1120. #449C2×D17semidirect
1128. #447C2×D17semidirect
1150. #417C2×D17semidirect
1154. C2×#102C2×D17semidirect
1156. #408C2×D17semidirect
1182. C2×#41C22×D17semidirect
1213. C2×Q16C22×D17semidirect
1231. C2×SD16C22×D17semidirect
1232. C2×SD16C22×D17semidirect
1237. C2×D8C22×D17semidirect
1241. C2×M16C22×D17semidirect
1245. C22×C8C22×D17semidirect
1311. C22⋊Q8C22×D17semidirect
1339. #121C22×D17semidirect
1392. C2×C4⋊C4C22×D17semidirect
1420. #103C22×D17semidirect
1421. #103C22×D17semidirect
1442. #102C22×D17semidirect
1443. #102C22×D17semidirect
1454. C22⋊C8C22×D17semidirect
1455. C22⋊C8C22×D17semidirect
1460. C17#61610semidirect

Maximal subgroups

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

subgroupindex
#145430652
#145424152
#145410082
#145410012
#145409182
#145408662
#145408242
#145408012
#145406272
#145406042
#145404852
#145404782
#145404132
#145403782
#145403092
#145402922
#145402832
#145402732
#145398762
#145398542
#145396572
#145396302
#145396122
#145395742
#145390302
#145389612
#145380612
#145380082
D17×#4502
#145378272
C17×#30122
#6161017