Finite Group Databasebeta

← D17×#3316 #17910906

Subgroups — D17×#3316 #17910906

Order 4352.

2158 conjugacy classes of subgroups.

The subgroup lattice has 1826 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D17×#554C211yesmaximal, characteristic, complemented
2D17×#548C211yesmaximal, characteristic
3#14540902C211yesmaximal, characteristic, complemented
4#14540901C211yesmaximal, characteristic, complemented
5#14540900C211yesmaximal, characteristic, complemented
6#14540899C211yesmaximal, characteristic, complemented
7#14540898C211yesmaximal, characteristic, complemented
8#14540897C211yesmaximal, characteristic, complemented
9#14540896C211yesmaximal, characteristic, complemented
10#14540895C211yesmaximal, characteristic, complemented
11#14540894C211yesmaximal, characteristic, complemented
12#14540893C211yesmaximal, characteristic, complemented
13#14540892C211yesmaximal, characteristic, complemented
14#14540891C211yesmaximal, characteristic, complemented
15#14540890C211yesmaximal, characteristic, complemented
16#14540889C211yesmaximal, characteristic, complemented
17#14540888C211yesmaximal, characteristic, complemented
18D17×#489C211yesmaximal, characteristic, complemented
19D17×#481C211yesmaximal, characteristic, complemented
20D17×#483C211yesmaximal, characteristic, complemented
21D17×#475C211yesmaximal, characteristic, complemented
22D17×#470C211yesmaximal, characteristic, complemented
23D17×#465C211yesmaximal, characteristic, complemented
24D17×#464C211yesmaximal, characteristic, complemented
25D17×#452C211yesmaximal, characteristic, complemented
26D17×#451C211yesmaximal, characteristic, complemented
27D17×#441C211yesmaximal, characteristic, complemented
28D17×#435C211yesmaximal, characteristic, complemented
29D17×#417C211yesmaximal, characteristic, complemented
30C2×#103×D17C211yesmaximal, characteristic, complemented
31C17×#3316C211yesmaximal, characteristic, complemented
32C2×#41×D17C2211yescharacteristic
33C22×Q8×D17C2211yescharacteristic
34C2×Q16×D17C2211yescharacteristic
35C2×Q16×D17C2211yescharacteristic
36C2×SD16×D17C2211yescharacteristic
37C2×M16×D17C2211yescharacteristic
38C22×C8×D17C2211yescharacteristic
39#11763520C2211yescharacteristic, complemented
40#11763519C2211yescharacteristic, complemented
41#11763518—21no—
42#11763517C2211yescharacteristic, complemented
43#11763517C2211yescharacteristic, complemented
44#11763516C2211yescharacteristic, complemented
45#11763515—21no—
46#11763514C2211yescharacteristic, complemented
47#11763514C2211yescharacteristic, complemented
48#11763513—21no—
49#11763513—21no—
50#11763471C2211yescharacteristic
51#11763470C2211yescharacteristic
52#11763469—21no—
53#11763469C2211yescharacteristic
54#11763468—21no—
55#11763468C2211yescharacteristic
56#11763467—21no—
57#11763467C2211yescharacteristic
58#11763466C2211yescharacteristic
59#11763465—21no—
60#11763465C2211yescharacteristic
61C4⋊Q8×D17C2211yescharacteristic
62#125×D17—21no—
63#124×D17—21no—
64#124×D17C2211yescharacteristic
65C22⋊Q8×D17—21no—
66C22⋊Q8×D17—21no—
67C22⋊Q8×D17—21no—
68C22⋊Q8×D17C2211yescharacteristic
69C22⋊Q8×D17C2211yescharacteristic
70C22⋊Q8×D17C2211yescharacteristic
71#121×D17—21no—
72#121×D17C2211yescharacteristic
73C4×Q8×D17C2211yescharacteristic
74C4×Q8×D17C2211yescharacteristic
75C4×D4×D17—21no—
76C4×D4×D17—21no—
77C4×D4×D17C2211yescharacteristic
78C2×C4⋊C4×D17C2211yescharacteristic
79C2×C4⋊C4×D17C2211yescharacteristic
80#11763171C2211yescharacteristic, complemented
81#11763170C2211yescharacteristic, complemented
82#11763170C2211yescharacteristic, complemented
83#11763169C2211yescharacteristic, complemented
84#11763168C2211yescharacteristic, complemented
85#11763167C2211yescharacteristic, complemented
86#11763167C2211yescharacteristic, complemented
87#11763141C2211yescharacteristic, complemented
88#11763141C2211yescharacteristic, complemented
89#11763140C2211yescharacteristic, complemented
90#11763139C2211yescharacteristic, complemented
91#11763138C2211yescharacteristic, complemented
92#11763138C2211yescharacteristic, complemented
93#11763137C2211yescharacteristic, complemented
94#11763129C2211yescharacteristic, complemented
95#11763129C2211yescharacteristic, complemented
96#11763128C2211yescharacteristic, complemented
97#11763127C2211yescharacteristic, complemented
98#11763126C2211yescharacteristic, complemented
99#11763126C2211yescharacteristic, complemented
100#11763125C2211yescharacteristic, complemented
101#11763095C2211yescharacteristic, complemented
102#11763094C2211yescharacteristic, complemented
103#11763093C2211yescharacteristic, complemented
104#11763093C2211yescharacteristic, complemented
105#11763092C2211yescharacteristic, complemented
106#11763092C2211yescharacteristic, complemented
107#11763091C2211yescharacteristic, complemented
108#11763068C2211yescharacteristic, complemented
109#11763067C2211yescharacteristic, complemented
110#11763066C2211yescharacteristic, complemented
111#11763066C2211yescharacteristic, complemented
112#11763065C2211yescharacteristic, complemented
113#11763065C2211yescharacteristic, complemented
114#11763064C2211yescharacteristic, complemented
115#11763041C2211yescharacteristic, complemented
116#11763040C2211yescharacteristic, complemented
117#11763039C2211yescharacteristic, complemented
118#11763038C2211yescharacteristic, complemented
119#11763037C2211yescharacteristic, complemented
120#11763036C2211yescharacteristic, complemented
121#11763035C2211yescharacteristic, complemented
122#11763034C2211yescharacteristic, complemented
123#11763033C2211yescharacteristic, complemented
124#11763032C2211yescharacteristic, complemented
125#11763031C2211yescharacteristic, complemented
126#11763030C2211yescharacteristic, complemented
127#11763029C2211yescharacteristic, complemented
128#11763028C2211yescharacteristic, complemented
129#11762974C2211yescharacteristic, complemented
130#11762973C2211yescharacteristic, complemented
131#11762972C2211yescharacteristic, complemented
132#11762971C2211yescharacteristic, complemented
133#11762970C2211yescharacteristic, complemented
134#11762969C2211yescharacteristic, complemented
135#11762968C2211yescharacteristic, complemented
136#11762967C2211yescharacteristic, complemented
137#11762966C2211yescharacteristic, complemented
138#11762966C2211yescharacteristic, complemented
139#11762965C2211yescharacteristic, complemented
140#11762964C2211yescharacteristic, complemented
141#11762963C2211yescharacteristic, complemented
142#11762963C2211yescharacteristic, complemented
143#11762917C2211yescharacteristic, complemented
144#11762916C2211yescharacteristic, complemented
145#11762915C2211yescharacteristic, complemented
146#11762914C2211yescharacteristic, complemented
147#11762914C2211yescharacteristic, complemented
148#11762913C2211yescharacteristic, complemented
149#11762913C2211yescharacteristic, complemented
150#11762883C2211yescharacteristic, complemented
151#11762882C2211yescharacteristic, complemented
152#11762881C2211yescharacteristic, complemented
153#11762880C2211yescharacteristic, complemented
154#11762879C2211yescharacteristic, complemented
155#11762878C2211yescharacteristic, complemented
156#11762877C2211yescharacteristic, complemented
157#106×D17C2211yescharacteristic
158#106×D17C2211yescharacteristic
159#106×D17C2211yescharacteristic
160C4⋊C8×D17C2211yescharacteristic
161#11762811C2211yescharacteristic, complemented
162#11762810C2211yescharacteristic, complemented
163#11762809C2211yescharacteristic, complemented
164#11762809C2211yescharacteristic, complemented
165#11762808C2211yescharacteristic, complemented
166#11762807C2211yescharacteristic, complemented
167#11762807C2211yescharacteristic, complemented
168C2×#10587487C2211yescharacteristic, complemented
169C2×#10587506C2211yescharacteristic, complemented
170C2×#10587481C2211yescharacteristic, complemented
171#103×D17C2211yescharacteristic
172#103×D17C2211yescharacteristic
173#103×D17C2211yescharacteristic
174#103×D17C2211yescharacteristic
175#103×D17C2211yescharacteristic
176#103×D17C2211yescharacteristic
177#103×D17C2211yescharacteristic
178#103×D17C2211yescharacteristic, complemented
179#103×D17C2211yescharacteristic, complemented
180#103×D17C2211yescharacteristic, complemented
181#103×D17C2211yescharacteristic, complemented
182#102×D17C2211yescharacteristic
183#102×D17C2211yescharacteristic
184#102×D17C2211yescharacteristic
185C22⋊C8×D17C2211yescharacteristic
186C22⋊C8×D17C2211yescharacteristic
187#97×D17C2211yescharacteristic
188C17×#554C2211yescharacteristic, complemented
189C17×#548C2211yescharacteristic
190C17×#489C2211yescharacteristic, complemented
191C17×#483C2211yescharacteristic, complemented
192C17×#481C2211yescharacteristic, complemented
193C17×#475C2211yescharacteristic, complemented
194C17×#470C2211yescharacteristic, complemented
195C17×#465C2211yescharacteristic, complemented
196C17×#464C2211yescharacteristic, complemented
197C17×#452C2211yescharacteristic, complemented
198C17×#451C2211yescharacteristic, complemented
199C17×#441C2211yescharacteristic, complemented
200C17×#435C2211yescharacteristic, complemented
201C17×#417C2211yescharacteristic, complemented
202C2×C17×#103C2211yescharacteristic, complemented
203C2×#41×C17C2311yescharacteristic
204C22×Q8×C17C2311yescharacteristic
205#41×D17—24no—
206#41×D17—42no—
207C2×#63256C2311yescharacteristic
208C2×Q8×D17—21no—
209C2×Q8×D17—21no—
210C2×Q8×D17—21no—
211C2×Q8×D17—24no—
212C2×Q8×D17—42no—
213C2×Q8×D17C2311yescharacteristic
214C2×Q8×D17C2311yescharacteristic
215C2×Q8×D17C2311yescharacteristic
216C2×Q8×D17C2311yescharacteristic
217C2×Q8×D17C2311yescharacteristic
218C2×#63254—21no—
219C2×#63254C2311yescharacteristic
220C2×D4×D17—21no—
221C2×D4×D17—21no—
222C2×D4×D17D411yescharacteristic
223C2×D4×D17C2311yescharacteristic
224C2×#63252—21no—
225C2×#63252C2311yescharacteristic
226C22×C4×D17—21no—
227C22×C4×D17—21no—
228C22×C4×D17—21no—
229C22×C4×D17—21no—
230C22×C4×D17C2311yescharacteristic
231C22×C4×D17C2311yescharacteristic
232C22×Dic34—21no—
233C22×Dic34C2311yescharacteristic
234C2×Q16×C17C2311yescharacteristic
235C2×Q16×C17C2311yescharacteristic
236C2×SD16×C17C2311yescharacteristic
237C2×M16×C17C2311yescharacteristic
238C22×C8×C17C2311yescharacteristic
239C17×C4⋊Q8C2311yescharacteristic
240C17×#125—21no—
241C17×#124—21no—
242C17×#124C2311yescharacteristic
243C17×C22⋊Q8—21no—
244C17×C22⋊Q8—21no—
245C17×C22⋊Q8—21no—
246C17×C22⋊Q8C2311yescharacteristic
247C17×C22⋊Q8C2311yescharacteristic
248C17×C22⋊Q8C2311yescharacteristic
249C17×#121—21no—
250C17×#121C2311yescharacteristic
251C4×Q8×C17C2311yescharacteristic
252C4×Q8×C17C2311yescharacteristic
253C4×D4×C17—21no—
254C4×D4×C17—21no—
255C4×D4×C17C2311yescharacteristic
256C2×C4⋊C4×C17C2311yescharacteristic
257C2×C4⋊C4×C17C2311yescharacteristic
258#10587633—21no—
259#10587633C2311yescharacteristic
260#10587632—21no—
261#10587632—21no—
262#10587632—21no—
263#10587632C2311yescharacteristic
264#10587632C2311yescharacteristic
265#10587632C2311yescharacteristic
266Q8×Dic17C2311yescharacteristic
267Q8×Dic17C2311yescharacteristic
268#10587630—21no—
269C2×#63231C2311yescharacteristic
270C2×#63231C2311yescharacteristic
271C2×#63231C2311yescharacteristic
272C2×#63231C2311yescharacteristic
273C2×#63230C2311yescharacteristic
274#10587625—21no—
275#10587625—21no—
276#10587625—21no—
277#10587624—21no—
278#10587624C2311yescharacteristic
279#10587622—21no—
280#10587622C2311yescharacteristic
281D4×Dic17—21no—
282D4×Dic17—21no—
283D4×Dic17D411yescharacteristic
284C2×#63229C2311yescharacteristic
285#10587616—21no—
286#10587616C2311yescharacteristic
287C4×C22⋊D17—21no—
288C4×C22⋊D17—21no—
289C4×C22⋊D17—21no—
290C4×C22⋊D17—21no—
291C4×C22⋊D17C2311yescharacteristic
292C4×C22⋊D17C2311yescharacteristic
293C2×C4⋊Dic17C2311yescharacteristic
294C2×C4⋊Dic17C2311yescharacteristic
295#10587610—21no—
296#10587610—21no—
297#10587610—21no—
298#10587610C2311yescharacteristic
299#10587610C2311yescharacteristic
300#10587610C2311yescharacteristic
301C2×#63225—21no—
302C2×#63225—21no—
303C2×#63223C2311yescharacteristic
304C22×#3622C2311yescharacteristic
305Q16×D17—24no—
306Q16×D17—42no—
307SD16×D17—42no—
308M16×D17—42no—
309C2×Dic68C2311yescharacteristic
310C2×Dic68C2311yescharacteristic
311C2×#63219C2311yescharacteristic
312C2×#63218C2311yescharacteristic
313C2×#63218C2311yescharacteristic
314C2×C8×D17—42no—
315C2×C8×D17C2311yescharacteristic
316C2×C8×D17C2311yescharacteristic
317C2×C8×D17C2311yescharacteristic
318C2×C8×D17C2311yescharacteristic
319C2×C8×D17C2311yescharacteristic
320C2×C8×D17C2311yescharacteristic
321#10587583—21no—
322#10587583—21no—
323#10587583—21no—
324#10587583C2311yescharacteristic
325#10587583C2311yescharacteristic
326#10587583C2311yescharacteristic
327#10587582—21no—
328#10587582—21no—
329#10587582—21no—
330#10587582—21no—
331#10587582—21no—
332#10587582—21no—
333#10587582—21no—
334#10587582—21no—
335#10587582—21no—
336#10587581—21no—
337#10587581C2311yescharacteristic
338#10587579—21no—
339#10587579—21no—
340#10587579D411yescharacteristic
341C4⋊C4×D17—21no—
342C4⋊C4×D17—21no—
343C4⋊C4×D17—21no—
344C4⋊C4×D17—21no—
345C4⋊C4×D17—21no—
346C4⋊C4×D17—21no—
347C4⋊C4×D17—21no—
348C4⋊C4×D17—21no—
349C4⋊C4×D17—21no—
350C4⋊C4×D17—21no—
351C4⋊C4×D17D411yescharacteristic
352C4⋊C4×D17C2311yescharacteristic
353C4⋊C4×D17C2311yescharacteristic
354C4⋊C4×D17C2311yescharacteristic
355C4⋊C4×D17C2311yescharacteristic
356C4⋊C4×D17C2311yescharacteristic
357C4⋊C4×D17C2311yescharacteristic
358C4⋊C4×D17C2311yescharacteristic
359C4⋊C4×D17C2311yescharacteristic
360#10587576—21no—
361#10587576—21no—
362#10587575—21no—
363#10587575—21no—
364#10587575—21no—
365#10587575—21no—
366#10587574—21no—
367#10587574C2311yescharacteristic
368#10587574C2311yescharacteristic
369#10587573—21no—
370#10587573—21no—
371#10587573C2311yescharacteristic
372#10587573C2311yescharacteristic
373#10587571—21no—
374#10587571—21no—
375#10587571—21no—
376#10587571—21no—
377#10587571—21no—
378#10587571—21no—
379#10587570—21no—
380#10587570—21no—
381#10587570—21no—
382#10587567—21no—
383#10587567—21no—
384#10587567—21no—
385#10587567—21no—
386#10587567D411yescharacteristic
387#10587567D411yescharacteristic
388C22⋊C4×D17—21no—
389C22⋊C4×D17—21no—
390C22⋊C4×D17—21no—
391C22⋊C4×D17—21no—
392C22⋊C4×D17—21no—
393C22⋊C4×D17—21no—
394C22⋊C4×D17D411yescharacteristic
395C22⋊C4×D17D411yescharacteristic
396#10587564—21no—
397#10587564—21no—
398#10587564—21no—
399#10587564—21no—
400#10587564—21no—
401#10587564—21no—
402#10587564—21no—
403#10587564—21no—
404#10587564—21no—
405#10587561—21no—
406#10587561C2311yescharacteristic
407C4×D68—21no—
408C4×D68—21no—
409C4×D68C2311yescharacteristic
410C42×D17—21no—
411C42×D17—21no—
412C42×D17C2311yescharacteristic
413#10587556—21no—
414#10587555C2311yescharacteristic
415C4×Dic34—21no—
416C4×Dic34—21no—
417C4×Dic34C2311yescharacteristic
418C4×Dic34C2311yescharacteristic
419C17×#106C2311yescharacteristic
420C17×#106C2311yescharacteristic
421C17×#106C2311yescharacteristic
422C17×C4⋊C8C2311yescharacteristic
423C17×#103C2311yescharacteristic
424C17×#103C2311yescharacteristic
425C17×#103C2311yescharacteristic
426C17×#103C2311yescharacteristic
427C17×#103C2311yescharacteristic
428C17×#103C2311yescharacteristic
429C17×#103C2311yescharacteristic
430C17×#102C2311yescharacteristic
431C17×#102C2311yescharacteristic
432C17×#102C2311yescharacteristic
433C17×C22⋊C8C2311yescharacteristic
434C17×C22⋊C8C2311yescharacteristic
435C17×#97C2311yescharacteristic
436#10587506C2311yescharacteristic
437#10587506C2311yescharacteristic
438#10587506C2311yescharacteristic
439#10587506C2311yescharacteristic
440#10587506C2311yescharacteristic
441#10587506C2311yescharacteristic
442#10587506C2311yescharacteristic
443#10587503C2311yescharacteristic
444#10587503C2311yescharacteristic
445#10587503C2311yescharacteristic
446C22⋊#3622C2311yescharacteristic
447C22⋊#3622C2311yescharacteristic
448#10587492C2311yescharacteristic
449#10587492C2311yescharacteristic
450#10587492C2311yescharacteristic
451#10587491C2311yescharacteristic
452#10587491C2311yescharacteristic
453#10587491C2311yescharacteristic
454#10587491C2311yescharacteristic
455#10587488C2311yescharacteristic
456#10587488C2311yescharacteristic
457#10587488C2311yescharacteristic
458#10587487C2311yescharacteristic
459#10587487C2311yescharacteristic
460#10587487C2311yescharacteristic
461#10587487C2311yescharacteristic
462#10587487C2311yescharacteristic
463#10587487C2311yescharacteristic
464#10587487C2311yescharacteristic
465#10587486C2311yescharacteristic
466#10587486C2311yescharacteristic
467#10587485C2311yescharacteristic
468#10587485C2311yescharacteristic
469#10587481C2311yescharacteristic
470#10587481C2311yescharacteristic
471#10587481C2311yescharacteristic
472#10587481C2311yescharacteristic
473#10587481C2311yescharacteristic
474#10587481C2311yescharacteristic
475#10587481C2311yescharacteristic
476#10587480C2311yescharacteristic
477#10587480C2311yescharacteristic
478#10587480C2311yescharacteristic
479#10587479C2311yescharacteristic
480#10587479C2311yescharacteristic
481#10587479C2311yescharacteristic
482#10587479C2311yescharacteristic
483#10587479C2311yescharacteristic
484#10587479C2311yescharacteristic
485C4⋊#3622C2311yescharacteristic
486#10587474C2311yescharacteristic
487C23×D17—21no—
488C23×D17C2×D411yescharacteristic
489C23×D17C2×D411yescharacteristic
490#41×C17—22no—
491#41×C17—41no—
492C2×Q8×C17—21no—
493C2×Q8×C17—21no—
494C2×Q8×C17—22no—
495C2×Q8×C17—41no—
496C2×Q8×C17C2411yescharacteristic
497C2×Q8×C17C2411yescharacteristic
498C2×Q8×C17C2411yescharacteristic
499C2×D4×C17—21no—
500C2×D4×C17—21no—
501C2×D4×C17C2×D411yescharacteristic
502C2×D4×C17C2411yescharacteristic
503C22×C4×C17—21no—
504C22×C4×C17—21no—
505C22×C4×C17—21no—
506C22×C4×C17—21no—
507C22×C4×C17C2411yescharacteristic
508C22×C4×C17C2411yescharacteristic
509C2×C22⋊D17—21no—
510C2×C22⋊D17—21no—
511C2×C22⋊D17—21no—
512C2×C22⋊D17—21no—
513C2×C22⋊D17—21no—
514C2×C22⋊D17C2×D411yescharacteristic
515C2×C22⋊D17C2×D411yescharacteristic
516C22×Dic17—21no—
517C22×Dic17—21no—
518C22×Dic17—21no—
519C22×Dic17—21no—
520C22×Dic17C2×D411yescharacteristic
521C22×Dic17C2×D411yescharacteristic
522#63256—22no—
523#63256—41no—
524Q8×D17—22no—
525Q8×D17—22no—
526Q8×D17—22no—
527Q8×D17—22no—
528Q8×D17—22no—
529Q8×D17—22no—
530Q8×D17—22no—
531Q8×D17—41no—
532Q8×D17—41no—
533Q8×D17—44no—
534Q8×D17—44no—
535Q8×D17—82no—
536Q8×D17#4114yes—
537#63254—22no—
538#63254—41no—
539#63254—44no—
540D4×D17—24no—
541D4×D17—22no—
542D4×D17—22no—
543D4×D17—44no—
544D4×D17—44no—
545#63252—22no—
546#63252—44no—
547#63252—41no—
548C2×D68—21no—
549C2×D68—21no—
550C2×D68C2×D411yescharacteristic
551C2×D68C2411yescharacteristic
552C2×C4×D17—21no—
553C2×C4×D17—22no—
554C2×C4×D17—22no—
555C2×C4×D17—22no—
556C2×C4×D17—22no—
557C2×C4×D17—21no—
558C2×C4×D17—21no—
559C2×C4×D17—21no—
560C2×C4×D17—21no—
561C2×C4×D17—21no—
562C2×C4×D17—21no—
563C2×C4×D17—21no—
564C2×C4×D17—21no—
565C2×C4×D17—21no—
566C2×C4×D17—21no—
567C2×C4×D17—21no—
568C2×C4×D17—21no—
569C2×C4×D17—21no—
570C2×C4×D17—21no—
571C2×C4×D17—44no—
572C2×C4×D17—44no—
573C2×C4×D17—82no—
574C2×C4×D17—82no—
575C2×C4×D17C2×D411yescharacteristic
576C2×C4×D17C2×D411yescharacteristic
577C2×C4×D17C2×D411yescharacteristic
578C2×C4×D17C2×D411yescharacteristic
579C2×C4×D17C2×D411yescharacteristic
580C2×C4×D17C2×D411yescharacteristic
581C2×C4×D17C2411yescharacteristic
582C2×C4×D17C2411yescharacteristic
583C2×C4×D17C2411yescharacteristic
584C2×Dic34—21no—
585C2×Dic34—22no—
586C2×Dic34—21no—
587C2×Dic34—21no—
588C2×Dic34—21no—
589C2×Dic34—21no—
590C2×Dic34—21no—
591C2×Dic34—21no—
592C2×Dic34—21no—
593C2×Dic34—21no—
594C2×Dic34—41no—
595C2×Dic34—44no—
596C2×Dic34C2411yescharacteristic
597C2×Dic34C2411yescharacteristic
598C2×Dic34C2411yescharacteristic
599Q16×C17—22no—
600Q16×C17—41no—
601SD16×C17—41no—
602M16×C17—41no—
603C2×C8×C17—41no—
604C2×C8×C17C2411yescharacteristic
605C2×C8×C17C2411yescharacteristic
606C2×C8×C17C2411yescharacteristic
607C2×C8×C17C2411yescharacteristic
608C4⋊C4×C17—21no—
609C4⋊C4×C17—21no—
610C4⋊C4×C17—21no—
611C4⋊C4×C17—21no—
612C4⋊C4×C17—21no—
613C4⋊C4×C17—21no—
614C4⋊C4×C17—21no—
615C4⋊C4×C17—21no—
616C4⋊C4×C17C2×D411yescharacteristic
617C4⋊C4×C17C2411yescharacteristic
618C4⋊C4×C17C2411yescharacteristic
619C4⋊C4×C17C2411yescharacteristic
620C4⋊C4×C17C2411yescharacteristic
621C22⋊C4×C17—21no—
622C22⋊C4×C17—21no—
623C22⋊C4×C17—21no—
624C22⋊C4×C17—21no—
625C22⋊C4×C17—21no—
626C22⋊C4×C17—21no—
627C22⋊C4×C17C2×D411yescharacteristic
628C22⋊C4×C17C2×D411yescharacteristic
629C42×C17—21no—
630C42×C17—21no—
631C42×C17C2411yescharacteristic
632C22⋊Dic17—21no—
633C22⋊Dic17—21no—
634C22⋊Dic17—21no—
635C22⋊Dic17—21no—
636C22⋊Dic17—21no—
637C22⋊Dic17—21no—
638C22⋊Dic17C2×D411yescharacteristic
639C22⋊Dic17C2×D411yescharacteristic
640#63231—22no—
641#63231—22no—
642#63231—41no—
643#63231—41no—
644#63230—41no—
645#63229—41no—
646#63227—21no—
647#63227—21no—
648#63227—21no—
649#63227—21no—
650#63227—21no—
651#63227—21no—
652#63227—21no—
653#63227—21no—
654#63227—21no—
655#63227—21no—
656#63227—21no—
657#63227—21no—
658#63227C2×D411yescharacteristic
659#63227C2×D411yescharacteristic
660#63227C2×D411yescharacteristic
661#63227C2×D411yescharacteristic
662C4⋊Dic17—21no—
663C4⋊Dic17—21no—
664C4⋊Dic17—21no—
665C4⋊Dic17—21no—
666C4⋊Dic17—21no—
667C4⋊Dic17—21no—
668C4⋊Dic17—21no—
669C4⋊Dic17—21no—
670C4⋊Dic17C2×D411yescharacteristic
671C4⋊Dic17C2411yescharacteristic
672C4⋊Dic17C2411yescharacteristic
673C4⋊Dic17C2411yescharacteristic
674C4⋊Dic17C2411yescharacteristic
675#63225—21no—
676#63225—21no—
677#63225—21no—
678#63225—21no—
679#63225—21no—
680#63225—21no—
681#63225—21no—
682#63225—21no—
683#63225—21no—
684#63225—21no—
685#63225—21no—
686#63225—21no—
687#63225—21no—
688#63225—21no—
689#63225—21no—
690#63225—21no—
691#63225—21no—
692#63225—21no—
693#63225—21no—
694#63225—21no—
695#63225C2×D411yescharacteristic
696#63225C2×D411yescharacteristic
697C4×Dic17—21no—
698C4×Dic17—21no—
699C4×Dic17—21no—
700C4×Dic17—21no—
701C4×Dic17—21no—
702C4×Dic17—21no—
703C4×Dic17C2×D411yescharacteristic
704C4×Dic17C2×D411yescharacteristic
705C4×Dic17C2411yescharacteristic
706#63223—41no—
707C2×#3622—41no—
708C2×#3622C2411yescharacteristic
709C2×#3622C2411yescharacteristic
710C2×#3622C2411yescharacteristic
711C2×#3622C2411yescharacteristic
712Dic68—22no—
713Dic68—41no—
714#63219—41no—
715#63218—41no—
716#63218—41no—
717C8×D17—22no—
718C8×D17—22no—
719C8×D17—22no—
720C8×D17—22no—
721C8×D17—41no—
722C8×D17—41no—
723C2×#3316—171nomaximal, Sylow
724C23×C17—21no—
725C23×C17C22×D411yescharacteristic
726C23×C17C22×D411yescharacteristic
727C22×D17—22no—
728C22×D17—22no—
729C22×D17—22no—
730C22×D17—22no—
731C22×D17—22no—
732C22×D17—21no—
733C22×D17—42no—
734C22×D17—42no—
735C22×D17—42no—
736C22×D17#13714yes—
737C22×D17C22×D411yescharacteristic
738C22×D17C22×D411yescharacteristic
739C22×D17C22×D411yescharacteristic
740Q8×C17—21no—
741Q8×C17—21no—
742Q8×C17—21no—
743Q8×C17—21no—
744Q8×C17—21no—
745Q8×C17—42no—
746Q8×C17—81no—
747Q8×C17C2×#4112yes—
748D4×C17—22no—
749D4×C17—21no—
750D4×C17—21no—
751D4×C17—42no—
752D4×C17—42no—
753C2×C4×C17—21no—
754C2×C4×C17—21no—
755C2×C4×C17—21no—
756C2×C4×C17—21no—
757C2×C4×C17—21no—
758C2×C4×C17—21no—
759C2×C4×C17—21no—
760C2×C4×C17—21no—
761C2×C4×C17—21no—
762C2×C4×C17—21no—
763C2×C4×C17—21no—
764C2×C4×C17—42no—
765C2×C4×C17—42no—
766C2×C4×C17—81no—
767C2×C4×C17—81no—
768C2×C4×C17C22×D411yescharacteristic
769C2×C4×C17C22×D411yescharacteristic
770C2×C4×C17C22×D411yescharacteristic
771C2×C4×C17C22×D411yescharacteristic
772C2×C4×C17C2511yescharacteristic
773C22⋊D17—22no—
774C22⋊D17—22no—
775C22⋊D17—42no—
776C22⋊D17—42no—
777C22⋊D17—42no—
778C22⋊D17—42no—
779C22⋊D17—42no—
780C2×Dic17—21no—
781C2×Dic17—22no—
782C2×Dic17—22no—
783C2×Dic17—21no—
784C2×Dic17—21no—
785C2×Dic17—21no—
786C2×Dic17—21no—
787C2×Dic17—21no—
788C2×Dic17—21no—
789C2×Dic17—42no—
790C2×Dic17—42no—
791C2×Dic17—81no—
792C2×Dic17—81no—
793C2×Dic17C22×D411yescharacteristic
794C2×Dic17C22×D411yescharacteristic
795C2×Dic17C22×D411yescharacteristic
796C2×Dic17C22×D411yescharacteristic
797C2×Dic17C22×D411yescharacteristic
798D68—22no—
799D68—21no—
800D68—21no—
801D68—42no—
802D68—42no—
803C4×D17—22no—
804C4×D17—22no—
805C4×D17—24no—
806C4×D17—22no—
807C4×D17—22no—
808C4×D17—21no—
809C4×D17—21no—
810C4×D17—21no—
811C4×D17—21no—
812C4×D17—22no—
813C4×D17—22no—
814C4×D17—42no—
815C4×D17—42no—
816C4×D17—42no—
817C4×D17—42no—
818C4×D17—42no—
819C4×D17—42no—
820C4×D17—42no—
821C4×D17—42no—
822C4×D17—42no—
823C4×D17—42no—
824C4×D17—81no—
825C4×D17—81no—
826C4×D17—81no—
827C4×D17—81no—
828C4×D17C2×#4112yes—
829C4×D17H(5,𝔽2)12yes—
830Dic34—21no—
831Dic34—24no—
832Dic34—21no—
833Dic34—21no—
834Dic34—21no—
835Dic34—21no—
836Dic34—42no—
837Dic34—42no—
838Dic34—42no—
839Dic34—42no—
840Dic34—42no—
841Dic34—81no—
842Dic34—81no—
843Dic34—81no—
844Dic34C2×#4112yes—
845C8×C17—21no—
846C8×C17—21no—
847C8×C17—21no—
848C8×C17—21no—
849#3622—21no—
850#3622—21no—
851#3622—21no—
852#3622—21no—
853C2×#554—171no—
854C2×#548—171no—
855#3316—171no—
856#3316—171no—
857#3316—171no—
858#3316—171no—
859#3316—171no—
860#3316—171no—
861#3316—171no—
862#3316—171no—
863#3316—171no—
864#3316—171no—
865#3316—171no—
866#3316—171no—
867#3316—171no—
868#3316—171no—
869#3316—171no—
870#3316D1711yescharacteristic, direct product factor
871C2×#489—171no—
872C2×#481—171no—
873C2×#483—171no—
874C2×#475—171no—
875C2×#470—171no—
876C2×#465—171no—
877C2×#464—171no—
878C2×#452—171no—
879C2×#451—171no—
880C2×#441—171no—
881C2×#435—171no—
882C2×#417—171no—
883C22×#103—171no—
884C22×C17—21no—
885C22×C17—21no—
886C22×C17—21no—
887C22×C17—21no—
888C22×C17—21no—
889C22×C17—41no—
890C22×C17—41no—
891C22×C17—41no—
892C22×C17C2×#13712yes—
893C22×C17C23×D411yescharacteristic
894C2×D17—21no—
895C2×D17—21no—
896C2×D17—28no—
897C2×D17—21no—
898C2×D17—21no—
899C2×D17—21no—
900C2×D17—44no—
901C2×D17—41no—
902C2×D17—41no—
903C2×D17—41no—
904C2×D17—84no—
905C2×D17#54612yes—
906C2×D17C2×#13712yes—
907C2×D17C2×#13712yes—
908C2×D17#57712yes—
909C4×C17—22no—
910C4×C17—21no—
911C4×C17—21no—
912C4×C17—21no—
913C4×C17—21no—
914C4×C17—41no—
915C4×C17—41no—
916C4×C17—41no—
917C4×C17—41no—
918C4×C17—41no—
919C4×C17—41no—
920C4×C17C22×#4111yescharacteristic
921C4×C17C2×H(5,𝔽2)11yescharacteristic
922Dic17—22no—
923Dic17—21no—
924Dic17—21no—
925Dic17—21no—
926Dic17—21no—
927Dic17—41no—
928Dic17—41no—
929Dic17—41no—
930Dic17—41no—
931Dic17—41no—
932Dic17—41no—
933Dic17#54612yes—
934C22×#41—171no—
935C23×Q8—171no—
936C22×Q16—171no—
937C22×Q16—171no—
938C22×SD16—171no—
939C22×M16—171no—
940C23×C8—171no—
941#554—171no—
942#554—171no—
943#554—171no—
944#554—171no—
945#554—171no—
946#554—171no—
947#554—171no—
948#554—341no—
949#554—341no—
950#554—341no—
951#554—341no—
952#554C2×D1711yescharacteristic, complemented
953#548—171no—
954#548—171no—
955#548—171no—
956#548—171no—
957#548—171no—
958#548—171no—
959#548—171no—
960#548—341no—
961#548—341no—
962#548—341no—
963#548—341no—
964#548C2×D1711yescharacteristic
965C2×C4⋊Q8—171no—
966C2×#125—341no—
967C2×#124—171no—
968C2×#124—341no—
969C2×C22⋊Q8—171no—
970C2×C22⋊Q8—171no—
971C2×C22⋊Q8—171no—
972C2×C22⋊Q8—341no—
973C2×C22⋊Q8—341no—
974C2×C22⋊Q8—341no—
975C2×#121—171no—
976C2×#121—341no—
977C2×C4×Q8—171no—
978C2×C4×Q8—171no—
979C2×C4×D4—171no—
980C2×C4×D4—341no—
981C2×C4×D4—341no—
982C22×C4⋊C4—171no—
983C22×C4⋊C4—171no—
984#489—171no—
985#489—171no—
986#489—171no—
987#489—171no—
988#489—171no—
989#489—171no—
990#489—171no—
991#489C2×D1711yescharacteristic, complemented
992#483—171no—
993#483—171no—
994#483—171no—
995#483—171no—
996#483—171no—
997#483—171no—
998#483—171no—
999#483C2×D1711yescharacteristic, complemented
1000#481—171no—
1001#481—171no—
1002#481—171no—
1003#481—171no—
1004#481—171no—
1005#481—171no—
1006#481—171no—
1007#481C2×D1711yescharacteristic, complemented
1008#475—171no—
1009#475—171no—
1010#475—171no—
1011#475—171no—
1012#475—171no—
1013#475—171no—
1014#475—171no—
1015#475C2×D1711yescharacteristic, complemented
1016#470—171no—
1017#470—171no—
1018#470—171no—
1019#470—171no—
1020#470—171no—
1021#470—171no—
1022#470—171no—
1023#470C2×D1711yescharacteristic, complemented
1024#465—171no—
1025#465—171no—
1026#465—171no—
1027#465—171no—
1028#465—171no—
1029#465—171no—
1030#465—171no—
1031#465C2×D1711yescharacteristic, complemented
1032#464—171no—
1033#464—171no—
1034#464—171no—
1035#464—171no—
1036#464—171no—
1037#464—171no—
1038#464—171no—
1039#464C2×D1711yescharacteristic, complemented
1040#452—171no—
1041#452—171no—
1042#452—171no—
1043#452—171no—
1044#452—171no—
1045#452—171no—
1046#452—171no—
1047#452C2×D1711yescharacteristic, complemented
1048#451—171no—
1049#451—171no—
1050#451—171no—
1051#451—171no—
1052#451—171no—
1053#451—171no—
1054#451—171no—
1055#451C2×D1711yescharacteristic, complemented
1056#441—171no—
1057#441—171no—
1058#441—171no—
1059#441—171no—
1060#441—171no—
1061#441—171no—
1062#441—171no—
1063#441C2×D1711yescharacteristic, complemented
1064#435—171no—
1065#435—171no—
1066#435—171no—
1067#435—171no—
1068#435—171no—
1069#435—171no—
1070#435—171no—
1071#435C2×D1711yescharacteristic, complemented
1072C2×#106—171no—
1073C2×#106—171no—
1074C2×#106—171no—
1075C2×C4⋊C8—171no—
1076#417—171no—
1077#417—171no—
1078#417—171no—
1079#417—171no—
1080#417—171no—
1081#417—171no—
1082#417—171no—
1083#417C2×D1711yescharacteristic, complemented
1084C2×#103—171no—
1085C2×#103—171no—
1086C2×#103—171no—
1087C2×#103—171no—
1088C2×#103—171no—
1089C2×#103—171no—
1090C2×#103—171no—
1091C2×#103—171no—
1092C2×#103—171no—
1093C2×#103—171no—
1094C2×#103—171no—
1095C2×#103—171no—
1096C2×#103—171no—
1097C2×#103—171no—
1098C2×#103C2×D1711yescharacteristic, complemented
1099C2×#102—171no—
1100C2×#102—171no—
1101C2×#102—171no—
1102C2×C22⋊C8—171no—
1103C2×C22⋊C8—171no—
1104C2×#97—171no—
1105C2×C17—22no—
1106C2×C17—41no—
1107C2×C17—81no—
1108C2×C17C2×#54611yescharacteristic
1109C2×C17C22×#13711yescharacteristic
1110C2×C17C2×#57711yescharacteristic
1111D17—22no—
1112D17—41no—
1113D17—81no—
1114D17#331614yesdirect product factor
1115C2×#41—171no—
1116C2×#41—171no—
1117C2×#41—171no—
1118C2×#41—341no—
1119C2×#41—341no—
1120C2×#41—344no—
1121C2×#41—682no—
1122C2×#41C22×D1711yescharacteristic
1123C22×Q8—171no—
1124C22×Q8—171no—
1125C22×Q8—171no—
1126C22×Q8—171no—
1127C22×Q8—171no—
1128C22×Q8—171no—
1129C22×Q8—341no—
1130C22×Q8—341no—
1131C22×Q8—341no—
1132C22×Q8—341no—
1133C22×Q8—344no—
1134C22×Q8—682no—
1135C22×Q8C22×D1711yescharacteristic
1136C22×D4—171no—
1137C22×D4—171no—
1138C22×D4—341no—
1139C22×D4—341no—
1140C23×C4—171no—
1141C23×C4—171no—
1142C23×C4—341no—
1143C23×C4—341no—
1144C23×C4—341no—
1145C23×C4—341no—
1146C2×Q16—171no—
1147C2×Q16—171no—
1148C2×Q16—171no—
1149C2×Q16—171no—
1150C2×Q16—171no—
1151C2×Q16—171no—
1152C2×Q16—344no—
1153C2×Q16—682no—
1154C2×Q16C22×D1711yescharacteristic
1155C2×Q16C22×D1711yescharacteristic
1156C2×SD16—171no—
1157C2×SD16—171no—
1158C2×SD16—171no—
1159C2×SD16—682no—
1160C2×SD16C22×D1711yescharacteristic
1161C2×M16—171no—
1162C2×M16—171no—
1163C2×M16—171no—
1164C2×M16—682no—
1165C2×M16C22×D1711yescharacteristic
1166C22×C8—171no—
1167C22×C8—171no—
1168C22×C8—171no—
1169C22×C8—171no—
1170C22×C8—171no—
1171C22×C8—171no—
1172C22×C8—171no—
1173C22×C8—682no—
1174C22×C8C22×D1711yescharacteristic
1175C4⋊Q8—171no—
1176C4⋊Q8—171no—
1177C4⋊Q8—171no—
1178C4⋊Q8—341no—
1179C4⋊Q8—341no—
1180C4⋊Q8C22×D1711yescharacteristic
1181#125—21no—
1182#125—341no—
1183#125—341no—
1184#125—341no—
1185#125—341no—
1186#125—341no—
1187#125—341no—
1188#125—341no—
1189#124—21no—
1190#124—171no—
1191#124—171no—
1192#124—171no—
1193#124—341no—
1194#124—341no—
1195#124—341no—
1196#124—341no—
1197#124—341no—
1198#124—341no—
1199#124—341no—
1200#124—341no—
1201#124—341no—
1202#124C22×D1711yescharacteristic
1203C22⋊Q8—21no—
1204C22⋊Q8—21no—
1205C22⋊Q8—21no—
1206C22⋊Q8—171no—
1207C22⋊Q8—171no—
1208C22⋊Q8—171no—
1209C22⋊Q8—171no—
1210C22⋊Q8—171no—
1211C22⋊Q8—171no—
1212C22⋊Q8—171no—
1213C22⋊Q8—171no—
1214C22⋊Q8—171no—
1215C22⋊Q8—341no—
1216C22⋊Q8—341no—
1217C22⋊Q8—341no—
1218C22⋊Q8—341no—
1219C22⋊Q8—341no—
1220C22⋊Q8—341no—
1221C22⋊Q8—341no—
1222C22⋊Q8—341no—
1223C22⋊Q8—341no—
1224C22⋊Q8—341no—
1225C22⋊Q8—341no—
1226C22⋊Q8—341no—
1227C22⋊Q8—341no—
1228C22⋊Q8—341no—
1229C22⋊Q8—341no—
1230C22⋊Q8—341no—
1231C22⋊Q8—341no—
1232C22⋊Q8—341no—
1233C22⋊Q8—341no—
1234C22⋊Q8—341no—
1235C22⋊Q8—341no—
1236C22⋊Q8—341no—
1237C22⋊Q8—341no—
1238C22⋊Q8—341no—
1239C22⋊Q8—341no—
1240C22⋊Q8—341no—
1241C22⋊Q8—341no—
1242C22⋊Q8C22×D1711yescharacteristic
1243C22⋊Q8C22×D1711yescharacteristic
1244C22⋊Q8C22×D1711yescharacteristic
1245#121—21no—
1246#121—171no—
1247#121—171no—
1248#121—171no—
1249#121—341no—
1250#121—341no—
1251#121—341no—
1252#121—341no—
1253#121—341no—
1254#121—341no—
1255#121—341no—
1256#121—341no—
1257#121—341no—
1258#121C22×D1711yescharacteristic
1259C4×Q8—171no—
1260C4×Q8—171no—
1261C4×Q8—171no—
1262C4×Q8—171no—
1263C4×Q8—171no—
1264C4×Q8—171no—
1265C4×Q8—341no—
1266C4×Q8—341no—
1267C4×Q8—341no—
1268C4×Q8—341no—
1269C4×Q8C22×D1711yescharacteristic
1270C4×Q8C22×D1711yescharacteristic
1271C4×D4—21no—
1272C4×D4—21no—
1273C4×D4—171no—
1274C4×D4—171no—
1275C4×D4—171no—
1276C4×D4—171no—
1277C4×D4—171no—
1278C4×D4—171no—
1279C4×D4—171no—
1280C4×D4—341no—
1281C4×D4—341no—
1282C4×D4—341no—
1283C4×D4—341no—
1284C4×D4—341no—
1285C4×D4—341no—
1286C4×D4—341no—
1287C4×D4—341no—
1288C4×D4—341no—
1289C4×D4—341no—
1290C4×D4—341no—
1291C4×D4—341no—
1292C4×D4—341no—
1293C4×D4—341no—
1294C4×D4C22×D1711yescharacteristic
1295C2×C4⋊C4—171no—
1296C2×C4⋊C4—171no—
1297C2×C4⋊C4—171no—
1298C2×C4⋊C4—171no—
1299C2×C4⋊C4—171no—
1300C2×C4⋊C4—171no—
1301C2×C4⋊C4—171no—
1302C2×C4⋊C4—171no—
1303C2×C4⋊C4—171no—
1304C2×C4⋊C4—171no—
1305C2×C4⋊C4—171no—
1306C2×C4⋊C4—341no—
1307C2×C4⋊C4—341no—
1308C2×C4⋊C4—341no—
1309C2×C4⋊C4—341no—
1310C2×C4⋊C4—341no—
1311C2×C4⋊C4—341no—
1312C2×C4⋊C4—341no—
1313C2×C4⋊C4—341no—
1314C2×C4⋊C4—341no—
1315C2×C4⋊C4—341no—
1316C2×C4⋊C4—341no—
1317C2×C4⋊C4—341no—
1318C2×C4⋊C4C22×D1711yescharacteristic
1319C2×C4⋊C4C22×D1711yescharacteristic
1320C2×C22⋊C4—171no—
1321C2×C22⋊C4—171no—
1322C2×C22⋊C4—341no—
1323C2×C22⋊C4—341no—
1324C2×C22⋊C4—341no—
1325C2×C22⋊C4—341no—
1326C2×C22⋊C4—341no—
1327C2×C22⋊C4—341no—
1328C2×C42—171no—
1329C2×C42—341no—
1330C2×C42—341no—
1331#106—171no—
1332#106—171no—
1333#106—171no—
1334#106—171no—
1335#106—171no—
1336#106—171no—
1337#106—171no—
1338#106—171no—
1339#106—171no—
1340#106C22×D1711yescharacteristic
1341#106C22×D1711yescharacteristic
1342#106C22×D1711yescharacteristic
1343C4⋊C8—171no—
1344C4⋊C8—171no—
1345C4⋊C8—171no—
1346C4⋊C8C22×D1711yescharacteristic
1347#103—171no—
1348#103—171no—
1349#103—171no—
1350#103—171no—
1351#103—171no—
1352#103—171no—
1353#103—171no—
1354#103—171no—
1355#103—171no—
1356#103—171no—
1357#103—171no—
1358#103—171no—
1359#103—171no—
1360#103—171no—
1361#103—171no—
1362#103—171no—
1363#103—171no—
1364#103—171no—
1365#103—171no—
1366#103—171no—
1367#103—171no—
1368#103C22×D1711yescharacteristic
1369#103C22×D1711yescharacteristic
1370#103C22×D1711yescharacteristic
1371#103C22×D1711yescharacteristic
1372#103C22×D1711yescharacteristic
1373#103C22×D1711yescharacteristic
1374#103C22×D1711yescharacteristic
1375#102—171no—
1376#102—171no—
1377#102—171no—
1378#102—171no—
1379#102—171no—
1380#102—171no—
1381#102—171no—
1382#102—171no—
1383#102—171no—
1384#102C22×D1711yescharacteristic
1385#102C22×D1711yescharacteristic
1386#102C22×D1711yescharacteristic
1387C22⋊C8—171no—
1388C22⋊C8—171no—
1389C22⋊C8—171no—
1390C22⋊C8—171no—
1391C22⋊C8—171no—
1392C22⋊C8—171no—
1393C22⋊C8C22×D1711yescharacteristic
1394C22⋊C8C22×D1711yescharacteristic
1395#97—171no—
1396#97—171no—
1397#97—171no—
1398#97C22×D1711yescharacteristic
1399C17C2×#331611yescharacteristic, complemented, Sylow
1400C24—171no—
1401C24—171no—
1402C24—341no—
1403#41—22no—
1404#41—41no—
1405#41—342no—
1406#41—342no—
1407#41—342no—
1408#41—681no—
1409#41—684no—
1410#41—681no—
1411#41—684no—
1412#41—681no—
1413C2×Q8—21no—
1414C2×Q8—21no—
1415C2×Q8—22no—
1416C2×Q8—41no—
1417C2×Q8—174no—
1418C2×Q8—171no—
1419C2×Q8—171no—
1420C2×Q8—171no—
1421C2×Q8—341no—
1422C2×Q8—341no—
1423C2×Q8—341no—
1424C2×Q8—341no—
1425C2×Q8—341no—
1426C2×Q8—341no—
1427C2×Q8—341no—
1428C2×Q8—342no—
1429C2×Q8—342no—
1430C2×Q8—342no—
1431C2×Q8—342no—
1432C2×Q8—342no—
1433C2×Q8—342no—
1434C2×Q8—341no—
1435C2×Q8—341no—
1436C2×Q8—342no—
1437C2×Q8—342no—
1438C2×Q8—681no—
1439C2×Q8—684no—
1440C2×Q8—684no—
1441C2×Q8—681no—
1442C2×Q8—681no—
1443C2×Q8—684no—
1444C2×Q8—1362no—
1445C2×Q8C23×D1711yescharacteristic
1446C2×Q8C23×D1711yescharacteristic
1447C2×Q8C23×D1711yescharacteristic
1448C2×D4—21no—
1449C2×D4—21no—
1450C2×D4—171no—
1451C2×D4—171no—
1452C2×D4—171no—
1453C2×D4—171no—
1454C2×D4—341no—
1455C2×D4—341no—
1456C2×D4—342no—
1457C2×D4—342no—
1458C2×D4—341no—
1459C2×D4—344no—
1460C2×D4—341no—
1461C2×D4—341no—
1462C2×D4—341no—
1463C2×D4—341no—
1464C2×D4—684no—
1465C2×D4—684no—
1466C2×D4D4×D1711yescharacteristic
1467C2×D4C23×D1711yescharacteristic
1468C22×C4—21no—
1469C22×C4—21no—
1470C22×C4—21no—
1471C22×C4—21no—
1472C22×C4—171no—
1473C22×C4—171no—
1474C22×C4—171no—
1475C22×C4—171no—
1476C22×C4—171no—
1477C22×C4—171no—
1478C22×C4—171no—
1479C22×C4—171no—
1480C22×C4—171no—
1481C22×C4—171no—
1482C22×C4—171no—
1483C22×C4—342no—
1484C22×C4—342no—
1485C22×C4—342no—
1486C22×C4—342no—
1487C22×C4—341no—
1488C22×C4—341no—
1489C22×C4—341no—
1490C22×C4—341no—
1491C22×C4—341no—
1492C22×C4—341no—
1493C22×C4—341no—
1494C22×C4—341no—
1495C22×C4—341no—
1496C22×C4—341no—
1497C22×C4—341no—
1498C22×C4—341no—
1499C22×C4—341no—
1500C22×C4—341no—
1501C22×C4—341no—
1502C22×C4—341no—
1503C22×C4—341no—
1504C22×C4—341no—
1505C22×C4—341no—
1506C22×C4—684no—
1507C22×C4—684no—
1508C22×C4—1362no—
1509C22×C4—1362no—
1510C22×C4C23×D1711yescharacteristic
1511C22×C4C23×D1711yescharacteristic
1512Q16—22no—
1513Q16—41no—
1514Q16—342no—
1515Q16—342no—
1516Q16—342no—
1517Q16—681no—
1518Q16—681no—
1519Q16—681no—
1520SD16—41no—
1521SD16—681no—
1522SD16—681no—
1523SD16—681no—
1524M16—41no—
1525M16—681no—
1526M16—681no—
1527M16—681no—
1528C2×C8—41no—
1529C2×C8—171no—
1530C2×C8—171no—
1531C2×C8—171no—
1532C2×C8—171no—
1533C2×C8—342no—
1534C2×C8—342no—
1535C2×C8—342no—
1536C2×C8—342no—
1537C2×C8—681no—
1538C2×C8—681no—
1539C2×C8—681no—
1540C2×C8C23×D1711yescharacteristic
1541C2×C8C23×D1711yescharacteristic
1542C2×C8C23×D1711yescharacteristic
1543C2×C8C23×D1711yescharacteristic
1544C4⋊C4—21no—
1545C4⋊C4—21no—
1546C4⋊C4—21no—
1547C4⋊C4—21no—
1548C4⋊C4—21no—
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—21no—
1552C4⋊C4—171no—
1553C4⋊C4—171no—
1554C4⋊C4—171no—
1555C4⋊C4—171no—
1556C4⋊C4—171no—
1557C4⋊C4—171no—
1558C4⋊C4—171no—
1559C4⋊C4—341no—
1560C4⋊C4—341no—
1561C4⋊C4—341no—
1562C4⋊C4—341no—
1563C4⋊C4—341no—
1564C4⋊C4—341no—
1565C4⋊C4—341no—
1566C4⋊C4—341no—
1567C4⋊C4—341no—
1568C4⋊C4—341no—
1569C4⋊C4—341no—
1570C4⋊C4—341no—
1571C4⋊C4—341no—
1572C4⋊C4—341no—
1573C4⋊C4—341no—
1574C4⋊C4—341no—
1575C4⋊C4—341no—
1576C4⋊C4—341no—
1577C4⋊C4—341no—
1578C4⋊C4—341no—
1579C4⋊C4—341no—
1580C4⋊C4—341no—
1581C4⋊C4—341no—
1582C4⋊C4—341no—
1583C4⋊C4—341no—
1584C4⋊C4—341no—
1585C4⋊C4—341no—
1586C4⋊C4—341no—
1587C4⋊C4D4×D1711yescharacteristic
1588C4⋊C4C23×D1711yescharacteristic
1589C4⋊C4C23×D1711yescharacteristic
1590C4⋊C4C23×D1711yescharacteristic
1591C4⋊C4C23×D1711yescharacteristic
1592C22⋊C4—21no—
1593C22⋊C4—21no—
1594C22⋊C4—21no—
1595C22⋊C4—21no—
1596C22⋊C4—21no—
1597C22⋊C4—21no—
1598C22⋊C4—171no—
1599C22⋊C4—171no—
1600C22⋊C4—171no—
1601C22⋊C4—171no—
1602C22⋊C4—171no—
1603C22⋊C4—171no—
1604C22⋊C4—341no—
1605C22⋊C4—341no—
1606C22⋊C4—341no—
1607C22⋊C4—341no—
1608C22⋊C4—341no—
1609C22⋊C4—341no—
1610C22⋊C4—341no—
1611C22⋊C4—341no—
1612C22⋊C4—341no—
1613C22⋊C4—341no—
1614C22⋊C4—341no—
1615C22⋊C4—341no—
1616C22⋊C4—341no—
1617C22⋊C4—341no—
1618C22⋊C4—341no—
1619C22⋊C4—341no—
1620C22⋊C4—341no—
1621C22⋊C4—341no—
1622C22⋊C4D4×D1711yescharacteristic
1623C22⋊C4D4×D1711yescharacteristic
1624C42—21no—
1625C42—21no—
1626C42—171no—
1627C42—171no—
1628C42—171no—
1629C42—341no—
1630C42—341no—
1631C42—341no—
1632C42—341no—
1633C42—341no—
1634C42—341no—
1635C42C23×D1711yescharacteristic
1636C23—21no—
1637C23—171no—
1638C23—174no—
1639C23—171no—
1640C23—171no—
1641C23—342no—
1642C23—342no—
1643C23—342no—
1644C23—342no—
1645C23—342no—
1646C23—341no—
1647C23—682no—
1648C23—682no—
1649C23—682no—
1650C23C2×D4×D1711yescharacteristic
1651C23C2×D4×D1711yescharacteristic
1652Q8—21no—
1653Q8—21no—
1654Q8—21no—
1655Q8—21no—
1656Q8—21no—
1657Q8—42no—
1658Q8—81no—
1659Q8—172no—
1660Q8—344no—
1661Q8—341no—
1662Q8—341no—
1663Q8—341no—
1664Q8—341no—
1665Q8—341no—
1666Q8—682no—
1667Q8—682no—
1668Q8—682no—
1669Q8—682no—
1670Q8—682no—
1671Q8—1361no—
1672Q8—1361no—
1673Q8—1361no—
1674Q8#41×D1712yes—
1675D4—22no—
1676D4—21no—
1677D4—21no—
1678D4—42no—
1679D4—42no—
1680D4—342no—
1681D4—342no—
1682D4—342no—
1683D4—341no—
1684D4—341no—
1685D4—682no—
1686D4—682no—
1687D4—682no—
1688D4—682no—
1689D4—682no—
1690D4—682no—
1691D4—682no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—42no—
1704C2×C4—42no—
1705C2×C4—81no—
1706C2×C4—81no—
1707C2×C4—171no—
1708C2×C4—172no—
1709C2×C4—172no—
1710C2×C4—171no—
1711C2×C4—171no—
1712C2×C4—171no—
1713C2×C4—171no—
1714C2×C4—342no—
1715C2×C4—342no—
1716C2×C4—342no—
1717C2×C4—342no—
1718C2×C4—342no—
1719C2×C4—342no—
1720C2×C4—344no—
1721C2×C4—342no—
1722C2×C4—342no—
1723C2×C4—341no—
1724C2×C4—341no—
1725C2×C4—341no—
1726C2×C4—341no—
1727C2×C4—341no—
1728C2×C4—341no—
1729C2×C4—341no—
1730C2×C4—341no—
1731C2×C4—341no—
1732C2×C4—341no—
1733C2×C4—341no—
1734C2×C4—682no—
1735C2×C4—682no—
1736C2×C4—682no—
1737C2×C4—682no—
1738C2×C4—682no—
1739C2×C4—682no—
1740C2×C4—682no—
1741C2×C4—682no—
1742C2×C4—682no—
1743C2×C4—682no—
1744C2×C4—682no—
1745C2×C4—682no—
1746C2×C4—1361no—
1747C2×C4—1361no—
1748C2×C4—1361no—
1749C2×C4—1361no—
1750C2×C4—1361no—
1751C2×C4—1361no—
1752C2×C4C2×D4×D1711yescharacteristic
1753C2×C4C2×D4×D1711yescharacteristic
1754C2×C4C2×D4×D1711yescharacteristic
1755C2×C4C2×D4×D1711yescharacteristic
1756C2×C4C24×D1711yescharacteristic
1757C8—21no—
1758C8—21no—
1759C8—21no—
1760C8—21no—
1761C8—341no—
1762C8—341no—
1763C8—341no—
1764C8—341no—
1765C22—21no—
1766C22—21no—
1767C22—21no—
1768C22—21no—
1769C22—21no—
1770C22—41no—
1771C22—41no—
1772C22—41no—
1773C22—172no—
1774C22—172no—
1775C22—172no—
1776C22—172no—
1777C22—348no—
1778C22—341no—
1779C22—341no—
1780C22—341no—
1781C22—341no—
1782C22—341no—
1783C22—684no—
1784C22—681no—
1785C22—681no—
1786C22—681no—
1787C22—1364no—
1788C22#137×D1712yes—
1789C22C22×D4×D1711yescharacteristic
1790C4—21no—
1791C4—21no—
1792C4—22no—
1793C4—21no—
1794C4—21no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—172no—
1802C4—341no—
1803C4—341no—
1804C4—342no—
1805C4—341no—
1806C4—341no—
1807C4—681no—
1808C4—681no—
1809C4—681no—
1810C4—681no—
1811C4—681no—
1812C4—681no—
1813C4C2×#41×D1711yescharacteristic
1814C4H(5,𝔽2)×D1711yescharacteristic
1815C2—22no—
1816C2—41no—
1817C2—81no—
1818C2—174no—
1819C2—342no—
1820C2—681no—
1821C2—1361no—
1822C2D17×#54611yescharacteristic
1823C2C2×#137×D1711yescharacteristic
1824C2D17×#57711yescharacteristic
subgroupG/H
centerC22C22×D4×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC17×#3316C2
socleC22×C17C23×D4
prime radicalD17×#548C2
hypercenter#3316D17
hypocenterC17C2×#3316
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3316

Complements

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

NH ≅ G/Ntype
1. D17×#554C2semidirect
3. #14540902C2semidirect
4. #14540901C2semidirect
5. #14540900C2semidirect
6. #14540899C2semidirect
7. #14540898C2semidirect
8. #14540897C2semidirect
9. #14540896C2semidirect
10. #14540895C2semidirect
11. #14540894C2semidirect
12. #14540893C2semidirect
13. #14540892C2semidirect
14. #14540891C2semidirect
15. #14540890C2semidirect
16. #14540889C2semidirect
17. #14540888C2semidirect
18. D17×#489C2semidirect
19. D17×#481C2semidirect
20. D17×#483C2semidirect
21. D17×#475C2semidirect
22. D17×#470C2semidirect
23. D17×#465C2semidirect
24. D17×#464C2semidirect
25. D17×#452C2semidirect
26. D17×#451C2semidirect
27. D17×#441C2semidirect
28. D17×#435C2semidirect
29. D17×#417C2semidirect
30. C2×#103×D17C2semidirect
31. C17×#3316C2semidirect
39. #11763520C22semidirect
40. #11763519C22semidirect
42. #11763517C22semidirect
43. #11763517C22semidirect
44. #11763516C22semidirect
46. #11763514C22semidirect
47. #11763514C22semidirect
80. #11763171C22semidirect
81. #11763170C22semidirect
82. #11763170C22semidirect
83. #11763169C22semidirect
84. #11763168C22semidirect
85. #11763167C22semidirect
86. #11763167C22semidirect
87. #11763141C22semidirect
88. #11763141C22semidirect
89. #11763140C22semidirect
90. #11763139C22semidirect
91. #11763138C22semidirect
92. #11763138C22semidirect
93. #11763137C22semidirect
94. #11763129C22semidirect
95. #11763129C22semidirect
96. #11763128C22semidirect
97. #11763127C22semidirect
98. #11763126C22semidirect
99. #11763126C22semidirect
100. #11763125C22semidirect
101. #11763095C22semidirect
102. #11763094C22semidirect
103. #11763093C22semidirect
104. #11763093C22semidirect
105. #11763092C22semidirect
106. #11763092C22semidirect
107. #11763091C22semidirect
108. #11763068C22semidirect
109. #11763067C22semidirect
110. #11763066C22semidirect
111. #11763066C22semidirect
112. #11763065C22semidirect
113. #11763065C22semidirect
114. #11763064C22semidirect
115. #11763041C22semidirect
116. #11763040C22semidirect
117. #11763039C22semidirect
118. #11763038C22semidirect
119. #11763037C22semidirect
120. #11763036C22semidirect
121. #11763035C22semidirect
122. #11763034C22semidirect
123. #11763033C22semidirect
124. #11763032C22semidirect
125. #11763031C22semidirect
126. #11763030C22semidirect
127. #11763029C22semidirect
128. #11763028C22semidirect
129. #11762974C22semidirect
130. #11762973C22semidirect
131. #11762972C22semidirect
132. #11762971C22semidirect
133. #11762970C22semidirect
134. #11762969C22semidirect
135. #11762968C22semidirect
136. #11762967C22semidirect
137. #11762966C22semidirect
138. #11762966C22semidirect
139. #11762965C22semidirect
140. #11762964C22semidirect
141. #11762963C22semidirect
142. #11762963C22semidirect
143. #11762917C22semidirect
144. #11762916C22semidirect
145. #11762915C22semidirect
146. #11762914C22semidirect
147. #11762914C22semidirect
148. #11762913C22semidirect
149. #11762913C22semidirect
150. #11762883C22semidirect
151. #11762882C22semidirect
152. #11762881C22semidirect
153. #11762880C22semidirect
154. #11762879C22semidirect
155. #11762878C22semidirect
156. #11762877C22semidirect
161. #11762811C22semidirect
162. #11762810C22semidirect
163. #11762809C22semidirect
164. #11762809C22semidirect
165. #11762808C22semidirect
166. #11762807C22semidirect
167. #11762807C22semidirect
168. C2×#10587487C22semidirect
169. C2×#10587506C22semidirect
170. C2×#10587481C22semidirect
178. #103×D17C22semidirect
179. #103×D17C22semidirect
180. #103×D17C22semidirect
181. #103×D17C22semidirect
188. C17×#554C22semidirect
190. C17×#489C22semidirect
191. C17×#483C22semidirect
192. C17×#481C22semidirect
193. C17×#475C22semidirect
194. C17×#470C22semidirect
195. C17×#465C22semidirect
196. C17×#464C22semidirect
197. C17×#452C22semidirect
198. C17×#451C22semidirect
199. C17×#441C22semidirect
200. C17×#435C22semidirect
201. C17×#417C22semidirect
202. C2×C17×#103C22semidirect
870. #3316D17direct (N × H)
952. #554C2×D17semidirect
991. #489C2×D17semidirect
999. #483C2×D17semidirect
1007. #481C2×D17semidirect
1015. #475C2×D17semidirect
1023. #470C2×D17semidirect
1031. #465C2×D17semidirect
1039. #464C2×D17semidirect
1047. #452C2×D17semidirect
1055. #451C2×D17semidirect
1063. #441C2×D17semidirect
1071. #435C2×D17semidirect
1083. #417C2×D17semidirect
1098. C2×#103C2×D17semidirect
1114. D17#3316direct (N × H)
1399. C17C2×#3316semidirect

Maximal subgroups

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

subgroupindex
D17×#5542
D17×#5482
#145409022
#145409012
#145409002
#145408992
#145408982
#145408972
#145408962
#145408952
#145408942
#145408932
#145408922
#145408912
#145408902
#145408892
#145408882
D17×#4892
D17×#4812
D17×#4832
D17×#4752
D17×#4702
D17×#4652
D17×#4642
D17×#4522
D17×#4512
D17×#4412
D17×#4352
D17×#4172
C2×#103×D172
C17×#33162
C2×#331617