Finite Group Databasebeta

← D17×#3241 #17906505

Subgroups — D17×#3241 #17906505

Order 4352.

1806 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D17×#544C211yesmaximal, characteristic, complemented
2D17×#540C211yesmaximal, characteristic
3#14540044C211yesmaximal, characteristic, complemented
4#14540043C211yesmaximal, characteristic, complemented
5#14540042C211yesmaximal, characteristic, complemented
6#14540041C211yesmaximal, characteristic, complemented
7#14540040C211yesmaximal, characteristic, complemented
8#14540039C211yesmaximal, characteristic, complemented
9#14540038C211yesmaximal, characteristic, complemented
10#14540037C211yesmaximal, characteristic, complemented
11#14540036C211yesmaximal, characteristic, complemented
12#14540035C211yesmaximal, characteristic, complemented
13#14540034C211yesmaximal, characteristic, complemented
14#14540033C211yesmaximal, characteristic, complemented
15#14540032C211yesmaximal, characteristic, complemented
16#14540031C211yesmaximal, characteristic, complemented
17#14540030C211yesmaximal, characteristic, complemented
18D17×#501C211yesmaximal, characteristic, complemented
19D17×#499C211yesmaximal, characteristic, complemented
20D17×#490C211yesmaximal, characteristic, complemented
21D17×#486C211yesmaximal, characteristic, complemented
22D17×#481C211yesmaximal, characteristic, complemented
23D17×#482C211yesmaximal, characteristic, complemented
24D17×#482C211yesmaximal, characteristic, complemented
25D17×#480C211yesmaximal, characteristic, complemented
26D17×#478C211yesmaximal, characteristic, complemented
27D17×#478C211yesmaximal, characteristic, complemented
28D17×#476C211yesmaximal, characteristic, complemented
29D17×#474C211yesmaximal, characteristic, complemented
30D17×#433C211yesmaximal, characteristic, complemented
31C17×#3241C211yesmaximal, characteristic, complemented
32#11763440C2211yescharacteristic, complemented
33#11763439—21no—
34#11763439C2211yescharacteristic, complemented
35#11763439C2211yescharacteristic, complemented
36#11763438—21no—
37#11763438—21no—
38#11763437C2211yescharacteristic, complemented
39#11763437C2211yescharacteristic, complemented
40#11763436—21no—
41#11763436C2211yescharacteristic, complemented
42#11763436C2211yescharacteristic, complemented
43#11763415C2211yescharacteristic
44#11763414C2211yescharacteristic
45#11763413C2211yescharacteristic
46#11763412C2211yescharacteristic
47#11763412C2211yescharacteristic
48#11763411—21no—
49#11763411—21no—
50#11763410C2211yescharacteristic
51#11763410C2211yescharacteristic
52#11763409—21no—
53#11763409—21no—
54C4⋊Q8×D17—21no—
55C4⋊Q8×D17C2211yescharacteristic
56C4⋊Q8×D17C2211yescharacteristic
57#127×D17C2211yescharacteristic
58#125×D17—21no—
59#125×D17C2211yescharacteristic
60#125×D17C2211yescharacteristic
61#125×D17C2211yescharacteristic
62#123×D17—21no—
63#123×D17—21no—
64C22⋊Q8×D17—21no—
65C22⋊Q8×D17—21no—
66#121×D17—21no—
67#121×D17—21no—
68#121×D17C2211yescharacteristic
69#121×D17C2211yescharacteristic
70C4×D4×D17C2211yescharacteristic
71C4×D4×D17C2211yescharacteristic
72#117×D17C2211yescharacteristic
73#117×D17C2211yescharacteristic
74C2×C4⋊C4×D17C2211yescharacteristic
75#11763219C2211yescharacteristic, complemented
76#11763218C2211yescharacteristic, complemented
77#11763217C2211yescharacteristic, complemented
78#11763217C2211yescharacteristic, complemented
79#11763216C2211yescharacteristic, complemented
80#11763216C2211yescharacteristic, complemented
81#11763215C2211yescharacteristic, complemented
82#11763211C2211yescharacteristic, complemented
83#11763210C2211yescharacteristic, complemented
84#11763210C2211yescharacteristic, complemented
85#11763209C2211yescharacteristic, complemented
86#11763209C2211yescharacteristic, complemented
87#11763208C2211yescharacteristic, complemented
88#11763208C2211yescharacteristic, complemented
89#11763175C2211yescharacteristic, complemented
90#11763174C2211yescharacteristic, complemented
91#11763173C2211yescharacteristic, complemented
92#11763172C2211yescharacteristic, complemented
93#11763172C2211yescharacteristic, complemented
94#11763172C2211yescharacteristic, complemented
95#11763172C2211yescharacteristic, complemented
96#11763157C2211yescharacteristic, complemented
97#11763156C2211yescharacteristic, complemented
98#11763155C2211yescharacteristic, complemented
99#11763154C2211yescharacteristic, complemented
100#11763154C2211yescharacteristic, complemented
101#11763154C2211yescharacteristic, complemented
102#11763154C2211yescharacteristic, complemented
103#11763136C2211yescharacteristic, complemented
104#11763136C2211yescharacteristic, complemented
105#11763135C2211yescharacteristic, complemented
106#11763135C2211yescharacteristic, complemented
107#11763134C2211yescharacteristic, complemented
108#11763134C2211yescharacteristic, complemented
109#11763133C2211yescharacteristic, complemented
110#11763133C2211yescharacteristic, complemented
111#11763132C2211yescharacteristic, complemented
112#11763132C2211yescharacteristic, complemented
113#11763131C2211yescharacteristic, complemented
114#11763131C2211yescharacteristic, complemented
115#11763130C2211yescharacteristic, complemented
116#11763130C2211yescharacteristic, complemented
117#11763129C2211yescharacteristic, complemented
118#11763129C2211yescharacteristic, complemented
119#11763128C2211yescharacteristic, complemented
120#11763127C2211yescharacteristic, complemented
121#11763126C2211yescharacteristic, complemented
122#11763126C2211yescharacteristic, complemented
123#11763125C2211yescharacteristic, complemented
124#11763124C2211yescharacteristic, complemented
125#11763124C2211yescharacteristic, complemented
126#11763123C2211yescharacteristic, complemented
127#11763122C2211yescharacteristic, complemented
128#11763121C2211yescharacteristic, complemented
129#11763121C2211yescharacteristic, complemented
130#11763120C2211yescharacteristic, complemented
131#11763112C2211yescharacteristic, complemented
132#11763112C2211yescharacteristic, complemented
133#11763111C2211yescharacteristic, complemented
134#11763111C2211yescharacteristic, complemented
135#11763110C2211yescharacteristic, complemented
136#11763110C2211yescharacteristic, complemented
137#11763109C2211yescharacteristic, complemented
138#11763109C2211yescharacteristic, complemented
139#11763108C2211yescharacteristic, complemented
140#11763108C2211yescharacteristic, complemented
141#11763107C2211yescharacteristic, complemented
142#11763107C2211yescharacteristic, complemented
143#11763106C2211yescharacteristic, complemented
144#11763106C2211yescharacteristic, complemented
145#11763100C2211yescharacteristic, complemented
146#11763099C2211yescharacteristic, complemented
147#11763098C2211yescharacteristic, complemented
148#11763098C2211yescharacteristic, complemented
149#11763097C2211yescharacteristic, complemented
150#11763097C2211yescharacteristic, complemented
151#11763096C2211yescharacteristic, complemented
152#11763090C2211yescharacteristic, complemented
153#11763089C2211yescharacteristic, complemented
154#11763088C2211yescharacteristic, complemented
155#11763088C2211yescharacteristic, complemented
156#11763087C2211yescharacteristic, complemented
157#11763087C2211yescharacteristic, complemented
158#11763086C2211yescharacteristic, complemented
159#11762871C2211yescharacteristic, complemented
160#11762870C2211yescharacteristic, complemented
161#11762869C2211yescharacteristic, complemented
162#11762869C2211yescharacteristic, complemented
163#11762868C2211yescharacteristic, complemented
164#11762867C2211yescharacteristic, complemented
165#11762867C2211yescharacteristic, complemented
166#107×D17C2211yescharacteristic
167#107×D17C2211yescharacteristic
168#107×D17C2211yescharacteristic
169#107×D17C2211yescharacteristic
170#106×D17C2211yescharacteristic
171#106×D17C2211yescharacteristic
172#106×D17C2211yescharacteristic
173#106×D17C2211yescharacteristic
174C4⋊C8×D17C2211yescharacteristic
175C4⋊C8×D17C2211yescharacteristic
176#102×D17C2211yescharacteristic
177#102×D17C2211yescharacteristic
178#102×D17C2211yescharacteristic
179#102×D17C2211yescharacteristic
180#102×D17C2211yescharacteristic
181#102×D17C2211yescharacteristic
182#102×D17C2211yescharacteristic
183#102×D17C2211yescharacteristic
184C22⋊C8×D17C2211yescharacteristic
185C22⋊C8×D17C2211yescharacteristic
186#97×D17C2211yescharacteristic
187C4×C8×D17C2211yescharacteristic
188C17×#544C2211yescharacteristic, complemented
189C17×#540C2211yescharacteristic
190C17×#501C2211yescharacteristic, complemented
191C17×#499C2211yescharacteristic, complemented
192C17×#490C2211yescharacteristic, complemented
193C17×#486C2211yescharacteristic, complemented
194C17×#482C2211yescharacteristic, complemented
195C17×#482C2211yescharacteristic, complemented
196C17×#481C2211yescharacteristic, complemented
197C17×#480C2211yescharacteristic, complemented
198C17×#478C2211yescharacteristic, complemented
199C17×#478C2211yescharacteristic, complemented
200C17×#476C2211yescharacteristic, complemented
201C17×#474C2211yescharacteristic, complemented
202C17×#433C2211yescharacteristic, complemented
203C2×Q8×D17—21no—
204C2×Q8×D17—21no—
205C2×D4×D17—21no—
206C2×D4×D17—21no—
207C2×D4×D17—21no—
208C2×D4×D17—21no—
209C2×D4×D17C2311yescharacteristic
210C2×D4×D17C2311yescharacteristic
211C22×C4×D17—21no—
212C22×C4×D17—21no—
213C22×C4×D17—21no—
214C22×C4×D17C2311yescharacteristic
215C17×C4⋊Q8—21no—
216C17×C4⋊Q8C2311yescharacteristic
217C17×C4⋊Q8C2311yescharacteristic
218C17×#127C2311yescharacteristic
219C17×#125—21no—
220C17×#125C2311yescharacteristic
221C17×#125C2311yescharacteristic
222C17×#125C2311yescharacteristic
223C17×#123—21no—
224C17×#123—21no—
225C17×C22⋊Q8—21no—
226C17×C22⋊Q8—21no—
227C17×#121—21no—
228C17×#121—21no—
229C17×#121C2311yescharacteristic
230C17×#121C2311yescharacteristic
231C4×D4×C17C2311yescharacteristic
232C4×D4×C17C2311yescharacteristic
233C17×#117C2311yescharacteristic
234C17×#117C2311yescharacteristic
235C2×C4⋊C4×C17C2311yescharacteristic
236#10587632—21no—
237#10587632—21no—
238#10587630—21no—
239#10587630—21no—
240#10587630—21no—
241#10587630—21no—
242#10587626—21no—
243#10587626—21no—
244#10587626C2311yescharacteristic
245#10587626C2311yescharacteristic
246#10587625—21no—
247#10587625—21no—
248#10587625—21no—
249#10587625—21no—
250#10587625—21no—
251#10587625—21no—
252#10587624—21no—
253#10587624—21no—
254#10587624C2311yescharacteristic
255#10587624C2311yescharacteristic
256#10587621—21no—
257#10587621—21no—
258D4×Dic17C2311yescharacteristic
259D4×Dic17C2311yescharacteristic
260#10587616—21no—
261#10587616—21no—
262#10587616C2311yescharacteristic
263#10587616C2311yescharacteristic
264#10587615—21no—
265#10587615—21no—
266C4×C22⋊D17—21no—
267C4×C22⋊D17—21no—
268#10587612C2311yescharacteristic
269#10587612C2311yescharacteristic
270C2×C4⋊Dic17C2311yescharacteristic
271#10587610—21no—
272#10587610—21no—
273C2×#63225—21no—
274C2×C8×D17C2311yescharacteristic
275C2×C8×D17C2311yescharacteristic
276C2×C8×D17C2311yescharacteristic
277C2×C8×D17C2311yescharacteristic
278#10587583—21no—
279#10587583—21no—
280#10587582—21no—
281#10587582—21no—
282#10587582—21no—
283#10587582—21no—
284#10587581—21no—
285#10587581—21no—
286#10587581C2311yescharacteristic
287#10587581C2311yescharacteristic
288#10587580—21no—
289#10587580—21no—
290#10587580—21no—
291#10587580—21no—
292#10587579C2311yescharacteristic
293#10587579C2311yescharacteristic
294#10587578D411yescharacteristic
295#10587578D411yescharacteristic
296#10587578C2311yescharacteristic
297#10587578C2311yescharacteristic
298C4⋊C4×D17—21no—
299C4⋊C4×D17—21no—
300C4⋊C4×D17—21no—
301C4⋊C4×D17—21no—
302C4⋊C4×D17—21no—
303C4⋊C4×D17—21no—
304C4⋊C4×D17—21no—
305C4⋊C4×D17—21no—
306C4⋊C4×D17—21no—
307C4⋊C4×D17—21no—
308C4⋊C4×D17D411yescharacteristic
309C4⋊C4×D17D411yescharacteristic
310C4⋊C4×D17C2311yescharacteristic
311C4⋊C4×D17C2311yescharacteristic
312C4⋊C4×D17C2311yescharacteristic
313C4⋊C4×D17C2311yescharacteristic
314C4⋊C4×D17C2311yescharacteristic
315C4⋊C4×D17C2311yescharacteristic
316C4⋊C4×D17C2311yescharacteristic
317C4⋊C4×D17C2311yescharacteristic
318#10587576—21no—
319#10587576—21no—
320#10587576C2311yescharacteristic
321#10587576C2311yescharacteristic
322#10587576C2311yescharacteristic
323#10587576C2311yescharacteristic
324#10587576C2311yescharacteristic
325#10587576C2311yescharacteristic
326#10587575—21no—
327#10587575—21no—
328#10587575—21no—
329#10587575—21no—
330#10587575—21no—
331#10587575—21no—
332#10587575—21no—
333#10587575—21no—
334#10587575—21no—
335#10587575—21no—
336#10587574—21no—
337#10587574—21no—
338#10587574—21no—
339#10587574—21no—
340#10587574—21no—
341#10587574—21no—
342#10587574C2311yescharacteristic
343#10587574C2311yescharacteristic
344#10587574C2311yescharacteristic
345#10587574C2311yescharacteristic
346#10587572—21no—
347#10587572—21no—
348#10587570—21no—
349#10587570—21no—
350#10587570—21no—
351#10587570—21no—
352#10587570—21no—
353#10587570—21no—
354#10587569—21no—
355#10587569—21no—
356#10587569—21no—
357#10587569—21no—
358#10587567—21no—
359#10587567—21no—
360C22⋊C4×D17—21no—
361C22⋊C4×D17—21no—
362C22⋊C4×D17—21no—
363C22⋊C4×D17—21no—
364C22⋊C4×D17—21no—
365C22⋊C4×D17D411yescharacteristic
366C22⋊C4×D17D411yescharacteristic
367#10587564—21no—
368#10587564—21no—
369#10587564—21no—
370#10587564—21no—
371#10587563—21no—
372#10587563D411yescharacteristic
373#10587563D411yescharacteristic
374#10587560C2311yescharacteristic
375C4×D68C2311yescharacteristic
376C4×D68C2311yescharacteristic
377#10587558—21no—
378#10587558C2311yescharacteristic
379#10587558C2311yescharacteristic
380C42×D17—21no—
381C42×D17C2311yescharacteristic
382C42×D17C2311yescharacteristic
383#10587556—21no—
384#10587556C2311yescharacteristic
385#10587556C2311yescharacteristic
386#10587556C2311yescharacteristic
387#10587555—21no—
388#10587555C2311yescharacteristic
389#10587555C2311yescharacteristic
390C17×#107C2311yescharacteristic
391C17×#107C2311yescharacteristic
392C17×#107C2311yescharacteristic
393C17×#107C2311yescharacteristic
394C17×#106C2311yescharacteristic
395C17×#106C2311yescharacteristic
396C17×#106C2311yescharacteristic
397C17×#106C2311yescharacteristic
398C17×C4⋊C8C2311yescharacteristic
399C17×C4⋊C8C2311yescharacteristic
400C17×#102C2311yescharacteristic
401C17×#102C2311yescharacteristic
402C17×#102C2311yescharacteristic
403C17×#102C2311yescharacteristic
404C17×#102C2311yescharacteristic
405C17×#102C2311yescharacteristic
406C17×#102C2311yescharacteristic
407C17×#102C2311yescharacteristic
408C17×C22⋊C8C2311yescharacteristic
409C17×C22⋊C8C2311yescharacteristic
410C17×#97C2311yescharacteristic
411C4×C8×C17C2311yescharacteristic
412#10587503C2311yescharacteristic
413#10587503C2311yescharacteristic
414#10587503C2311yescharacteristic
415#10587503C2311yescharacteristic
416#10587503C2311yescharacteristic
417#10587503C2311yescharacteristic
418#10587503C2311yescharacteristic
419#10587503C2311yescharacteristic
420C22⋊#3622C2311yescharacteristic
421C22⋊#3622C2311yescharacteristic
422#10587492C2311yescharacteristic
423#10587492C2311yescharacteristic
424#10587492C2311yescharacteristic
425#10587492C2311yescharacteristic
426#10587492C2311yescharacteristic
427#10587492C2311yescharacteristic
428#10587492C2311yescharacteristic
429#10587492C2311yescharacteristic
430#10587491C2311yescharacteristic
431#10587491C2311yescharacteristic
432#10587491C2311yescharacteristic
433#10587491C2311yescharacteristic
434#10587489C2311yescharacteristic
435#10587489C2311yescharacteristic
436#10587489C2311yescharacteristic
437#10587489C2311yescharacteristic
438#10587488C2311yescharacteristic
439#10587488C2311yescharacteristic
440#10587488C2311yescharacteristic
441#10587488C2311yescharacteristic
442#10587486C2311yescharacteristic
443#10587486C2311yescharacteristic
444#10587485C2311yescharacteristic
445#10587485C2311yescharacteristic
446#10587485C2311yescharacteristic
447#10587485C2311yescharacteristic
448C8×Dic17C2311yescharacteristic
449C8×Dic17C2311yescharacteristic
450#10587480C2311yescharacteristic
451#10587480C2311yescharacteristic
452#10587480C2311yescharacteristic
453#10587480C2311yescharacteristic
454#10587480C2311yescharacteristic
455#10587480C2311yescharacteristic
456#10587480C2311yescharacteristic
457#10587480C2311yescharacteristic
458#10587479C2311yescharacteristic
459#10587479C2311yescharacteristic
460#10587479C2311yescharacteristic
461#10587479C2311yescharacteristic
462#10587479C2311yescharacteristic
463#10587479C2311yescharacteristic
464#10587479C2311yescharacteristic
465#10587479C2311yescharacteristic
466#10587478C2311yescharacteristic
467#10587478C2311yescharacteristic
468#10587478C2311yescharacteristic
469#10587478C2311yescharacteristic
470#10587478C2311yescharacteristic
471#10587478C2311yescharacteristic
472#10587478C2311yescharacteristic
473#10587478C2311yescharacteristic
474C4⋊#3622C2311yescharacteristic
475C4⋊#3622C2311yescharacteristic
476#10587474C2311yescharacteristic
477C4×#3622C2311yescharacteristic
478C23×D17—21no—
479C23×D17—21no—
480C23×D17C2×D411yescharacteristic
481C2×Q8×C17—21no—
482C2×Q8×C17—21no—
483C2×D4×C17—21no—
484C2×D4×C17—21no—
485C2×D4×C17—21no—
486C2×D4×C17—21no—
487C2×D4×C17C2411yescharacteristic
488C2×D4×C17C2411yescharacteristic
489C22×C4×C17—21no—
490C22×C4×C17—21no—
491C22×C4×C17—21no—
492C22×C4×C17C2411yescharacteristic
493C2×C22⋊D17—21no—
494C2×C22⋊D17—21no—
495C2×C22⋊D17—21no—
496C2×C22⋊D17—21no—
497C2×C22⋊D17—21no—
498C2×C22⋊D17—21no—
499C2×C22⋊D17—21no—
500C2×C22⋊D17—21no—
501C2×C22⋊D17—21no—
502C2×C22⋊D17—21no—
503C22×Dic17—21no—
504C22×Dic17—21no—
505C22×Dic17—21no—
506C22×Dic17C2×D411yescharacteristic
507Q8×D17—82no—
508Q8×D17—82no—
509D4×D17—22no—
510D4×D17—22no—
511D4×D17—22no—
512D4×D17—22no—
513D4×D17—82no—
514D4×D17—82no—
515D4×D17—82no—
516D4×D17—82no—
517C2×D68—21no—
518C2×D68—21no—
519C2×D68—21no—
520C2×D68—21no—
521C2×D68C2411yescharacteristic
522C2×D68C2411yescharacteristic
523C2×C4×D17—22no—
524C2×C4×D17—22no—
525C2×C4×D17—21no—
526C2×C4×D17—21no—
527C2×C4×D17—21no—
528C2×C4×D17—21no—
529C2×C4×D17—21no—
530C2×C4×D17—21no—
531C2×C4×D17—21no—
532C2×C4×D17—21no—
533C2×C4×D17—21no—
534C2×C4×D17—21no—
535C2×C4×D17—21no—
536C2×C4×D17—21no—
537C2×C4×D17—82no—
538C2×C4×D17—82no—
539C2×C4×D17—82no—
540C2×C4×D17C2×D411yescharacteristic
541C2×C4×D17C2×D411yescharacteristic
542C2×C4×D17C2×D411yescharacteristic
543C2×C4×D17C2×D411yescharacteristic
544C2×C4×D17C2×D411yescharacteristic
545C2×C4×D17C2×D411yescharacteristic
546C2×C4×D17C2411yescharacteristic
547C2×C4×D17C2411yescharacteristic
548C2×Dic34—21no—
549C2×Dic34—21no—
550C2×Dic34—21no—
551C2×Dic34—21no—
552C2×Dic34—21no—
553C2×Dic34—21no—
554C2×C8×C17C2411yescharacteristic
555C2×C8×C17C2411yescharacteristic
556C2×C8×C17C2411yescharacteristic
557C2×C8×C17C2411yescharacteristic
558C4⋊C4×C17—21no—
559C4⋊C4×C17—21no—
560C4⋊C4×C17—21no—
561C4⋊C4×C17—21no—
562C4⋊C4×C17—21no—
563C4⋊C4×C17—21no—
564C4⋊C4×C17—21no—
565C4⋊C4×C17—21no—
566C4⋊C4×C17—21no—
567C4⋊C4×C17C2×D411yescharacteristic
568C4⋊C4×C17C2×D411yescharacteristic
569C4⋊C4×C17C2411yescharacteristic
570C4⋊C4×C17C2411yescharacteristic
571C4⋊C4×C17C2411yescharacteristic
572C4⋊C4×C17C2411yescharacteristic
573C4⋊C4×C17C2411yescharacteristic
574C4⋊C4×C17C2411yescharacteristic
575C22⋊C4×C17—21no—
576C22⋊C4×C17—21no—
577C22⋊C4×C17—21no—
578C22⋊C4×C17—21no—
579C22⋊C4×C17—21no—
580C22⋊C4×C17C2×D411yescharacteristic
581C22⋊C4×C17C2×D411yescharacteristic
582C42×C17—21no—
583C42×C17C2411yescharacteristic
584C42×C17C2411yescharacteristic
585C22⋊Dic17—21no—
586C22⋊Dic17—21no—
587C22⋊Dic17—21no—
588C22⋊Dic17—21no—
589C22⋊Dic17—21no—
590C22⋊Dic17C2×D411yescharacteristic
591C22⋊Dic17C2×D411yescharacteristic
592#63227—21no—
593#63227—21no—
594#63227—21no—
595#63227—21no—
596#63227—21no—
597#63227—21no—
598#63227—21no—
599#63227—21no—
600#63227—21no—
601#63227—21no—
602#63227C2×D411yescharacteristic
603#63227C2×D411yescharacteristic
604#63227C2×D411yescharacteristic
605#63227C2×D411yescharacteristic
606C4⋊Dic17—21no—
607C4⋊Dic17—21no—
608C4⋊Dic17—21no—
609C4⋊Dic17—21no—
610C4⋊Dic17—21no—
611C4⋊Dic17—21no—
612C4⋊Dic17—21no—
613C4⋊Dic17—21no—
614C4⋊Dic17—21no—
615C4⋊Dic17C2×D411yescharacteristic
616C4⋊Dic17C2×D411yescharacteristic
617C4⋊Dic17C2411yescharacteristic
618C4⋊Dic17C2411yescharacteristic
619C4⋊Dic17C2411yescharacteristic
620C4⋊Dic17C2411yescharacteristic
621C4⋊Dic17C2411yescharacteristic
622C4⋊Dic17C2411yescharacteristic
623#63225—21no—
624#63225—21no—
625#63225—21no—
626#63225—21no—
627#63225—21no—
628#63225—21no—
629#63225—21no—
630#63225—21no—
631#63225—21no—
632#63225—21no—
633#63225—21no—
634#63225—21no—
635#63225—21no—
636#63225—21no—
637#63225—21no—
638#63225—21no—
639#63225—21no—
640#63225—21no—
641#63225—21no—
642#63225—21no—
643#63225—21no—
644#63225—21no—
645#63225—21no—
646#63225—21no—
647#63225C2×D411yescharacteristic
648#63225C2×D411yescharacteristic
649#63225C2×D411yescharacteristic
650#63225C2×D411yescharacteristic
651C4×Dic17—21no—
652C4×Dic17—21no—
653C4×Dic17—21no—
654C4×Dic17C2×D411yescharacteristic
655C4×Dic17C2×D411yescharacteristic
656C4×Dic17C2×D411yescharacteristic
657C4×Dic17C2×D411yescharacteristic
658C4×Dic17C2411yescharacteristic
659C4×Dic17C2411yescharacteristic
660C2×#3622C2411yescharacteristic
661C2×#3622C2411yescharacteristic
662C2×#3622C2411yescharacteristic
663C2×#3622C2411yescharacteristic
664C8×D17—22no—
665C8×D17—22no—
666C8×D17—22no—
667C8×D17—22no—
668C2×#3241—171nomaximal, Sylow
669C23×C17—21no—
670C23×C17—21no—
671C23×C17C22×D411yescharacteristic
672C22×D17—22no—
673C22×D17—22no—
674C22×D17—22no—
675C22×D17—21no—
676C22×D17—21no—
677C22×D17—42no—
678C22×D17—42no—
679C22×D17—42no—
680C22×D17—42no—
681C22×D17—42no—
682C22×D17—42no—
683C22×D17C22×D411yescharacteristic
684C22×D17C22×D411yescharacteristic
685Q8×C17—81no—
686Q8×C17—81no—
687D4×C17—21no—
688D4×C17—21no—
689D4×C17—21no—
690D4×C17—21no—
691D4×C17—81no—
692D4×C17—81no—
693D4×C17—81no—
694D4×C17—81no—
695C2×C4×C17—21no—
696C2×C4×C17—21no—
697C2×C4×C17—21no—
698C2×C4×C17—21no—
699C2×C4×C17—21no—
700C2×C4×C17—21no—
701C2×C4×C17—21no—
702C2×C4×C17—21no—
703C2×C4×C17—81no—
704C2×C4×C17—81no—
705C2×C4×C17—81no—
706C2×C4×C17C22×D411yescharacteristic
707C2×C4×C17C22×D411yescharacteristic
708C2×C4×C17C22×D411yescharacteristic
709C2×C4×C17C22×D411yescharacteristic
710C2×C4×C17C22×D411yescharacteristic
711C2×C4×C17C2511yescharacteristic
712C22⋊D17—42no—
713C22⋊D17—42no—
714C22⋊D17—81no—
715C22⋊D17—81no—
716C22⋊D17—81no—
717C22⋊D17—81no—
718C22⋊D17—81no—
719C22⋊D17—81no—
720C22⋊D17—81no—
721C22⋊D17—81no—
722C2×Dic17—22no—
723C2×Dic17—21no—
724C2×Dic17—21no—
725C2×Dic17—21no—
726C2×Dic17—21no—
727C2×Dic17—21no—
728C2×Dic17—21no—
729C2×Dic17—81no—
730C2×Dic17—81no—
731C2×Dic17—81no—
732C2×Dic17C22×D411yescharacteristic
733C2×Dic17C22×D411yescharacteristic
734C2×Dic17C22×D411yescharacteristic
735C2×Dic17C22×D411yescharacteristic
736C2×Dic17C22×D411yescharacteristic
737C2×Dic17C22×D411yescharacteristic
738D68—21no—
739D68—21no—
740D68—21no—
741D68—21no—
742D68—81no—
743D68—81no—
744D68—81no—
745D68—81no—
746C4×D17—22no—
747C4×D17—22no—
748C4×D17—22no—
749C4×D17—22no—
750C4×D17—22no—
751C4×D17—21no—
752C4×D17—21no—
753C4×D17—22no—
754C4×D17—42no—
755C4×D17—42no—
756C4×D17—42no—
757C4×D17—42no—
758C4×D17—42no—
759C4×D17—42no—
760C4×D17—81no—
761C4×D17—81no—
762C4×D17—81no—
763C4×D17—81no—
764C4×D17—81no—
765C4×D17—81no—
766C4×D172−1+412yes—
767C4×D172−1+412yes—
768Dic34—81no—
769Dic34—81no—
770Dic34—81no—
771Dic34—81no—
772Dic34—81no—
773Dic34—81no—
774C8×C17—21no—
775C8×C17—21no—
776C8×C17—21no—
777C8×C17—21no—
778#3622—21no—
779#3622—21no—
780#3622—21no—
781#3622—21no—
782C2×#544—171no—
783C2×#540—171no—
784#3241—171no—
785#3241—171no—
786#3241—171no—
787#3241—171no—
788#3241—171no—
789#3241—171no—
790#3241—171no—
791#3241—171no—
792#3241—171no—
793#3241—171no—
794#3241—171no—
795#3241—171no—
796#3241—171no—
797#3241—171no—
798#3241—171no—
799#3241D1711yescharacteristic, direct product factor
800C2×#501—171no—
801C2×#499—171no—
802C2×#490—171no—
803C2×#486—171no—
804C2×#481—171no—
805C2×#482—171no—
806C2×#482—171no—
807C2×#480—171no—
808C2×#478—171no—
809C2×#478—171no—
810C2×#476—171no—
811C2×#474—171no—
812C2×#433—171no—
813C22×C17—21no—
814C22×C17—21no—
815C22×C17—21no—
816C22×C17—41no—
817C22×C17—41no—
818C22×C17—41no—
819C22×C17—41no—
820C22×C17—41no—
821C22×C17—41no—
822C22×C17C23×D411yescharacteristic
823C2×D17—21no—
824C2×D17—21no—
825C2×D17—21no—
826C2×D17—44no—
827C2×D17—41no—
828C2×D17—41no—
829C2×D17—41no—
830C2×D17—41no—
831C2×D17—41no—
832C2×D17—41no—
833C2×D17—84no—
834C2×D17—84no—
835C2×D17#53612yes—
836C2×D17#57612yes—
837C2×D17#57712yes—
838C4×C17—21no—
839C4×C17—21no—
840C4×C17—21no—
841C4×C17—21no—
842C4×C17—21no—
843C4×C17—41no—
844C4×C17—41no—
845C4×C17—41no—
846C4×C17—41no—
847C4×C17—41no—
848C4×C17—41no—
849C4×C17C2×2−1+411yescharacteristic
850C4×C17C2×2−1+411yescharacteristic
851Dic17—21no—
852Dic17—21no—
853Dic17—21no—
854Dic17—21no—
855Dic17—21no—
856Dic17—41no—
857Dic17—41no—
858Dic17—41no—
859Dic17—41no—
860Dic17—41no—
861Dic17—41no—
862Dic17#53612yes—
863#544—171no—
864#544—171no—
865#544—171no—
866#544—171no—
867#544—171no—
868#544—171no—
869#544—171no—
870#544—341no—
871#544—341no—
872#544—341no—
873#544—341no—
874#544C2×D1711yescharacteristic, complemented
875#540—171no—
876#540—171no—
877#540—171no—
878#540—171no—
879#540—171no—
880#540—171no—
881#540—171no—
882#540—341no—
883#540—341no—
884#540—341no—
885#540—341no—
886#540C2×D1711yescharacteristic
887C2×C4⋊Q8—171no—
888C2×C4⋊Q8—171no—
889C2×C4⋊Q8—341no—
890C2×#127—171no—
891C2×#125—171no—
892C2×#125—171no—
893C2×#125—171no—
894C2×#125—341no—
895C2×#123—341no—
896C2×#123—341no—
897C2×C22⋊Q8—341no—
898C2×C22⋊Q8—341no—
899C2×#121—171no—
900C2×#121—171no—
901C2×#121—341no—
902C2×#121—341no—
903C2×C4×D4—171no—
904C2×C4×D4—171no—
905C2×#117—171no—
906C2×#117—171no—
907C22×C4⋊C4—171no—
908#501—171no—
909#501—171no—
910#501—171no—
911#501—171no—
912#501—171no—
913#501—171no—
914#501—171no—
915#501C2×D1711yescharacteristic, complemented
916#499—171no—
917#499—171no—
918#499—171no—
919#499—171no—
920#499—171no—
921#499—171no—
922#499—171no—
923#499C2×D1711yescharacteristic, complemented
924#490—171no—
925#490—171no—
926#490—171no—
927#490—171no—
928#490—171no—
929#490—171no—
930#490—171no—
931#490C2×D1711yescharacteristic, complemented
932#486—171no—
933#486—171no—
934#486—171no—
935#486—171no—
936#486—171no—
937#486—171no—
938#486—171no—
939#486C2×D1711yescharacteristic, complemented
940#482—171no—
941#482—171no—
942#482—171no—
943#482—171no—
944#482—171no—
945#482—171no—
946#482—171no—
947#482—171no—
948#482—171no—
949#482—171no—
950#482—171no—
951#482—171no—
952#482—171no—
953#482—171no—
954#482C2×D1711yescharacteristic, complemented
955#482C2×D1711yescharacteristic, complemented
956#481—171no—
957#481—171no—
958#481—171no—
959#481—171no—
960#481—171no—
961#481—171no—
962#481—171no—
963#481C2×D1711yescharacteristic, complemented
964#480—171no—
965#480—171no—
966#480—171no—
967#480—171no—
968#480—171no—
969#480—171no—
970#480—171no—
971#480C2×D1711yescharacteristic, complemented
972#478—171no—
973#478—171no—
974#478—171no—
975#478—171no—
976#478—171no—
977#478—171no—
978#478—171no—
979#478—171no—
980#478—171no—
981#478—171no—
982#478—171no—
983#478—171no—
984#478—171no—
985#478—171no—
986#478C2×D1711yescharacteristic, complemented
987#478C2×D1711yescharacteristic, complemented
988#476—171no—
989#476—171no—
990#476—171no—
991#476—171no—
992#476—171no—
993#476—171no—
994#476—171no—
995#476C2×D1711yescharacteristic, complemented
996#474—171no—
997#474—171no—
998#474—171no—
999#474—171no—
1000#474—171no—
1001#474—171no—
1002#474—171no—
1003#474C2×D1711yescharacteristic, complemented
1004#433—171no—
1005#433—171no—
1006#433—171no—
1007#433—171no—
1008#433—171no—
1009#433—171no—
1010#433—171no—
1011#433C2×D1711yescharacteristic, complemented
1012C2×#107—171no—
1013C2×#107—171no—
1014C2×#107—171no—
1015C2×#107—171no—
1016C2×#106—171no—
1017C2×#106—171no—
1018C2×#106—171no—
1019C2×#106—171no—
1020C2×C4⋊C8—171no—
1021C2×C4⋊C8—171no—
1022C2×#102—171no—
1023C2×#102—171no—
1024C2×#102—171no—
1025C2×#102—171no—
1026C2×#102—171no—
1027C2×#102—171no—
1028C2×#102—171no—
1029C2×#102—171no—
1030C2×C22⋊C8—171no—
1031C2×C22⋊C8—171no—
1032C2×#97—171no—
1033C2×C4×C8—171no—
1034C2×C17—41no—
1035C2×C17—81no—
1036C2×C17—81no—
1037C2×C17C2×#53611yescharacteristic
1038C2×C17C2×#57611yescharacteristic
1039C2×C17C2×#57711yescharacteristic
1040D17—41no—
1041D17—81no—
1042D17—81no—
1043D17#324114yesdirect product factor
1044C22×Q8—341no—
1045C22×Q8—341no—
1046C22×D4—171no—
1047C22×D4—171no—
1048C22×D4—341no—
1049C22×D4—341no—
1050C22×D4—341no—
1051C22×D4—341no—
1052C23×C4—171no—
1053C23×C4—341no—
1054C23×C4—341no—
1055C23×C4—341no—
1056C22×C8—171no—
1057C22×C8—171no—
1058C22×C8—171no—
1059C22×C8—171no—
1060C4⋊Q8—21no—
1061C4⋊Q8—171no—
1062C4⋊Q8—171no—
1063C4⋊Q8—171no—
1064C4⋊Q8—171no—
1065C4⋊Q8—171no—
1066C4⋊Q8—171no—
1067C4⋊Q8—341no—
1068C4⋊Q8—341no—
1069C4⋊Q8—341no—
1070C4⋊Q8—341no—
1071C4⋊Q8—341no—
1072C4⋊Q8—341no—
1073C4⋊Q8—341no—
1074C4⋊Q8—341no—
1075C4⋊Q8—341no—
1076C4⋊Q8—341no—
1077C4⋊Q8—341no—
1078C4⋊Q8C22×D1711yescharacteristic
1079C4⋊Q8C22×D1711yescharacteristic
1080#127—171no—
1081#127—171no—
1082#127—171no—
1083#127—341no—
1084#127—341no—
1085#127C22×D1711yescharacteristic
1086#125—21no—
1087#125—171no—
1088#125—171no—
1089#125—171no—
1090#125—171no—
1091#125—171no—
1092#125—171no—
1093#125—171no—
1094#125—171no—
1095#125—171no—
1096#125—341no—
1097#125—341no—
1098#125—341no—
1099#125—341no—
1100#125—341no—
1101#125—341no—
1102#125—341no—
1103#125—341no—
1104#125—341no—
1105#125—341no—
1106#125—341no—
1107#125—341no—
1108#125—341no—
1109#125C22×D1711yescharacteristic
1110#125C22×D1711yescharacteristic
1111#125C22×D1711yescharacteristic
1112#123—21no—
1113#123—21no—
1114#123—341no—
1115#123—341no—
1116#123—341no—
1117#123—341no—
1118#123—341no—
1119#123—341no—
1120#123—341no—
1121#123—341no—
1122#123—341no—
1123#123—341no—
1124#123—341no—
1125#123—341no—
1126#123—341no—
1127#123—341no—
1128C22⋊Q8—21no—
1129C22⋊Q8—21no—
1130C22⋊Q8—341no—
1131C22⋊Q8—341no—
1132C22⋊Q8—341no—
1133C22⋊Q8—341no—
1134C22⋊Q8—341no—
1135C22⋊Q8—341no—
1136C22⋊Q8—341no—
1137C22⋊Q8—341no—
1138C22⋊Q8—341no—
1139C22⋊Q8—341no—
1140C22⋊Q8—341no—
1141C22⋊Q8—341no—
1142C22⋊Q8—341no—
1143C22⋊Q8—341no—
1144#121—21no—
1145#121—21no—
1146#121—171no—
1147#121—171no—
1148#121—171no—
1149#121—171no—
1150#121—171no—
1151#121—171no—
1152#121—341no—
1153#121—341no—
1154#121—341no—
1155#121—341no—
1156#121—341no—
1157#121—341no—
1158#121—341no—
1159#121—341no—
1160#121—341no—
1161#121—341no—
1162#121—341no—
1163#121—341no—
1164#121—341no—
1165#121—341no—
1166#121—341no—
1167#121—341no—
1168#121—341no—
1169#121—341no—
1170#121C22×D1711yescharacteristic
1171#121C22×D1711yescharacteristic
1172C4×D4—171no—
1173C4×D4—171no—
1174C4×D4—171no—
1175C4×D4—171no—
1176C4×D4—171no—
1177C4×D4—171no—
1178C4×D4—341no—
1179C4×D4—341no—
1180C4×D4—341no—
1181C4×D4—341no—
1182C4×D4C22×D1711yescharacteristic
1183C4×D4C22×D1711yescharacteristic
1184#117—171no—
1185#117—171no—
1186#117—171no—
1187#117—171no—
1188#117—171no—
1189#117—171no—
1190#117—171no—
1191#117—171no—
1192#117—171no—
1193#117—171no—
1194#117—341no—
1195#117—341no—
1196#117C22×D1711yescharacteristic
1197#117C22×D1711yescharacteristic
1198C2×C4⋊C4—171no—
1199C2×C4⋊C4—171no—
1200C2×C4⋊C4—171no—
1201C2×C4⋊C4—171no—
1202C2×C4⋊C4—171no—
1203C2×C4⋊C4—171no—
1204C2×C4⋊C4—171no—
1205C2×C4⋊C4—171no—
1206C2×C4⋊C4—171no—
1207C2×C4⋊C4—171no—
1208C2×C4⋊C4—171no—
1209C2×C4⋊C4—341no—
1210C2×C4⋊C4—341no—
1211C2×C4⋊C4—341no—
1212C2×C4⋊C4—341no—
1213C2×C4⋊C4—341no—
1214C2×C4⋊C4—341no—
1215C2×C4⋊C4—341no—
1216C2×C4⋊C4—341no—
1217C2×C4⋊C4—341no—
1218C2×C4⋊C4—341no—
1219C2×C4⋊C4—341no—
1220C2×C4⋊C4C22×D1711yescharacteristic
1221C2×C22⋊C4—171no—
1222C2×C22⋊C4—171no—
1223C2×C22⋊C4—341no—
1224C2×C22⋊C4—341no—
1225C2×C22⋊C4—341no—
1226C2×C22⋊C4—341no—
1227C2×C22⋊C4—341no—
1228C2×C42—171no—
1229C2×C42—171no—
1230C2×C42—341no—
1231#107—171no—
1232#107—171no—
1233#107—171no—
1234#107—171no—
1235#107—171no—
1236#107—171no—
1237#107—171no—
1238#107—171no—
1239#107—171no—
1240#107—171no—
1241#107—171no—
1242#107—171no—
1243#107C22×D1711yescharacteristic
1244#107C22×D1711yescharacteristic
1245#107C22×D1711yescharacteristic
1246#107C22×D1711yescharacteristic
1247#106—171no—
1248#106—171no—
1249#106—171no—
1250#106—171no—
1251#106—171no—
1252#106—171no—
1253#106—171no—
1254#106—171no—
1255#106—171no—
1256#106—171no—
1257#106—171no—
1258#106—171no—
1259#106C22×D1711yescharacteristic
1260#106C22×D1711yescharacteristic
1261#106C22×D1711yescharacteristic
1262#106C22×D1711yescharacteristic
1263C4⋊C8—171no—
1264C4⋊C8—171no—
1265C4⋊C8—171no—
1266C4⋊C8—171no—
1267C4⋊C8—171no—
1268C4⋊C8—171no—
1269C4⋊C8C22×D1711yescharacteristic
1270C4⋊C8C22×D1711yescharacteristic
1271#102—171no—
1272#102—171no—
1273#102—171no—
1274#102—171no—
1275#102—171no—
1276#102—171no—
1277#102—171no—
1278#102—171no—
1279#102—171no—
1280#102—171no—
1281#102—171no—
1282#102—171no—
1283#102—171no—
1284#102—171no—
1285#102—171no—
1286#102—171no—
1287#102—171no—
1288#102—171no—
1289#102—171no—
1290#102—171no—
1291#102—171no—
1292#102—171no—
1293#102—171no—
1294#102—171no—
1295#102C22×D1711yescharacteristic
1296#102C22×D1711yescharacteristic
1297#102C22×D1711yescharacteristic
1298#102C22×D1711yescharacteristic
1299#102C22×D1711yescharacteristic
1300#102C22×D1711yescharacteristic
1301#102C22×D1711yescharacteristic
1302#102C22×D1711yescharacteristic
1303C22⋊C8—171no—
1304C22⋊C8—171no—
1305C22⋊C8—171no—
1306C22⋊C8—171no—
1307C22⋊C8—171no—
1308C22⋊C8—171no—
1309C22⋊C8C22×D1711yescharacteristic
1310C22⋊C8C22×D1711yescharacteristic
1311#97—171no—
1312#97—171no—
1313#97—171no—
1314#97C22×D1711yescharacteristic
1315C4×C8—171no—
1316C4×C8—171no—
1317C4×C8—171no—
1318C4×C8C22×D1711yescharacteristic
1319C17C2×#324111yescharacteristic, complemented, Sylow
1320C24—171no—
1321C24—341no—
1322C24—341no—
1323C2×Q8—21no—
1324C2×Q8—21no—
1325C2×Q8—341no—
1326C2×Q8—341no—
1327C2×Q8—341no—
1328C2×Q8—341no—
1329C2×Q8—341no—
1330C2×Q8—341no—
1331C2×Q8—1362no—
1332C2×Q8—1362no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—21no—
1337C2×D4—171no—
1338C2×D4—171no—
1339C2×D4—341no—
1340C2×D4—341no—
1341C2×D4—342no—
1342C2×D4—342no—
1343C2×D4—342no—
1344C2×D4—342no—
1345C2×D4—341no—
1346C2×D4—341no—
1347C2×D4—341no—
1348C2×D4—341no—
1349C2×D4—341no—
1350C2×D4—341no—
1351C2×D4—341no—
1352C2×D4—341no—
1353C2×D4—341no—
1354C2×D4—341no—
1355C2×D4—341no—
1356C2×D4—341no—
1357C2×D4—1362no—
1358C2×D4—1362no—
1359C2×D4—1362no—
1360C2×D4—1362no—
1361C2×D4C23×D1711yescharacteristic
1362C2×D4C23×D1711yescharacteristic
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—21no—
1366C22×C4—171no—
1367C22×C4—171no—
1368C22×C4—171no—
1369C22×C4—171no—
1370C22×C4—171no—
1371C22×C4—171no—
1372C22×C4—171no—
1373C22×C4—171no—
1374C22×C4—171no—
1375C22×C4—342no—
1376C22×C4—342no—
1377C22×C4—341no—
1378C22×C4—341no—
1379C22×C4—341no—
1380C22×C4—341no—
1381C22×C4—341no—
1382C22×C4—341no—
1383C22×C4—341no—
1384C22×C4—341no—
1385C22×C4—341no—
1386C22×C4—341no—
1387C22×C4—341no—
1388C22×C4—341no—
1389C22×C4—341no—
1390C22×C4—341no—
1391C22×C4—341no—
1392C22×C4—1362no—
1393C22×C4—1362no—
1394C22×C4—1362no—
1395C22×C4C23×D1711yescharacteristic
1396C2×C8—171no—
1397C2×C8—171no—
1398C2×C8—171no—
1399C2×C8—171no—
1400C2×C8—342no—
1401C2×C8—342no—
1402C2×C8—342no—
1403C2×C8—342no—
1404C2×C8C23×D1711yescharacteristic
1405C2×C8C23×D1711yescharacteristic
1406C2×C8C23×D1711yescharacteristic
1407C2×C8C23×D1711yescharacteristic
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—21no—
1417C4⋊C4—171no—
1418C4⋊C4—171no—
1419C4⋊C4—171no—
1420C4⋊C4—171no—
1421C4⋊C4—171no—
1422C4⋊C4—171no—
1423C4⋊C4—171no—
1424C4⋊C4—171no—
1425C4⋊C4—171no—
1426C4⋊C4—171no—
1427C4⋊C4—171no—
1428C4⋊C4—171no—
1429C4⋊C4—341no—
1430C4⋊C4—341no—
1431C4⋊C4—341no—
1432C4⋊C4—341no—
1433C4⋊C4—341no—
1434C4⋊C4—341no—
1435C4⋊C4—341no—
1436C4⋊C4—341no—
1437C4⋊C4—341no—
1438C4⋊C4—341no—
1439C4⋊C4—341no—
1440C4⋊C4—341no—
1441C4⋊C4—341no—
1442C4⋊C4—341no—
1443C4⋊C4—341no—
1444C4⋊C4—341no—
1445C4⋊C4—341no—
1446C4⋊C4—341no—
1447C4⋊C4—341no—
1448C4⋊C4—341no—
1449C4⋊C4—341no—
1450C4⋊C4—341no—
1451C4⋊C4—341no—
1452C4⋊C4—341no—
1453C4⋊C4—341no—
1454C4⋊C4—341no—
1455C4⋊C4—341no—
1456C4⋊C4—341no—
1457C4⋊C4—341no—
1458C4⋊C4—341no—
1459C4⋊C4—341no—
1460C4⋊C4—341no—
1461C4⋊C4—341no—
1462C4⋊C4D4×D1711yescharacteristic
1463C4⋊C4D4×D1711yescharacteristic
1464C4⋊C4C23×D1711yescharacteristic
1465C4⋊C4C23×D1711yescharacteristic
1466C4⋊C4C23×D1711yescharacteristic
1467C4⋊C4C23×D1711yescharacteristic
1468C4⋊C4C23×D1711yescharacteristic
1469C4⋊C4C23×D1711yescharacteristic
1470C22⋊C4—21no—
1471C22⋊C4—21no—
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—171no—
1476C22⋊C4—171no—
1477C22⋊C4—171no—
1478C22⋊C4—171no—
1479C22⋊C4—171no—
1480C22⋊C4—171no—
1481C22⋊C4—341no—
1482C22⋊C4—341no—
1483C22⋊C4—341no—
1484C22⋊C4—341no—
1485C22⋊C4—341no—
1486C22⋊C4—341no—
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⋊C4D4×D1711yescharacteristic
1497C22⋊C4D4×D1711yescharacteristic
1498C42—21no—
1499C42—171no—
1500C42—171no—
1501C42—171no—
1502C42—171no—
1503C42—171no—
1504C42—171no—
1505C42—341no—
1506C42—341no—
1507C42—341no—
1508C42C23×D1711yescharacteristic
1509C42C23×D1711yescharacteristic
1510C23—21no—
1511C23—21no—
1512C23—171no—
1513C23—171no—
1514C23—342no—
1515C23—342no—
1516C23—342no—
1517C23—341no—
1518C23—341no—
1519C23—682no—
1520C23—682no—
1521C23—682no—
1522C23—682no—
1523C23—682no—
1524C23—682no—
1525C23C2×D4×D1711yescharacteristic
1526Q8—81no—
1527Q8—81no—
1528Q8—1361no—
1529Q8—1361no—
1530Q8—1361no—
1531Q8—1361no—
1532Q8—1361no—
1533Q8—1361no—
1534D4—21no—
1535D4—21no—
1536D4—21no—
1537D4—21no—
1538D4—81no—
1539D4—81no—
1540D4—81no—
1541D4—81no—
1542D4—341no—
1543D4—341no—
1544D4—341no—
1545D4—341no—
1546D4—682no—
1547D4—682no—
1548D4—1361no—
1549D4—1361no—
1550D4—1361no—
1551D4—1361no—
1552D4—1361no—
1553D4—1361no—
1554D4—1361no—
1555D4—1361no—
1556D4—1361no—
1557D4—1361no—
1558D4—1361no—
1559D4—1361no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—81no—
1569C2×C4—81no—
1570C2×C4—81no—
1571C2×C4—171no—
1572C2×C4—172no—
1573C2×C4—172no—
1574C2×C4—171no—
1575C2×C4—171no—
1576C2×C4—171no—
1577C2×C4—171no—
1578C2×C4—171no—
1579C2×C4—342no—
1580C2×C4—342no—
1581C2×C4—342no—
1582C2×C4—342no—
1583C2×C4—342no—
1584C2×C4—342no—
1585C2×C4—342no—
1586C2×C4—341no—
1587C2×C4—341no—
1588C2×C4—341no—
1589C2×C4—341no—
1590C2×C4—341no—
1591C2×C4—341no—
1592C2×C4—341no—
1593C2×C4—341no—
1594C2×C4—682no—
1595C2×C4—682no—
1596C2×C4—682no—
1597C2×C4—682no—
1598C2×C4—682no—
1599C2×C4—682no—
1600C2×C4—1361no—
1601C2×C4—1361no—
1602C2×C4—1361no—
1603C2×C4—1361no—
1604C2×C4—1361no—
1605C2×C4—1361no—
1606C2×C4—1361no—
1607C2×C4—1361no—
1608C2×C4—1361no—
1609C2×C4C2×D4×D1711yescharacteristic
1610C2×C4C2×D4×D1711yescharacteristic
1611C2×C4C2×D4×D1711yescharacteristic
1612C2×C4C2×D4×D1711yescharacteristic
1613C2×C4C2×D4×D1711yescharacteristic
1614C2×C4C24×D1711yescharacteristic
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—21no—
1619C8—341no—
1620C8—341no—
1621C8—341no—
1622C8—341no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—172no—
1633C22—172no—
1634C22—172no—
1635C22—341no—
1636C22—341no—
1637C22—341no—
1638C22—684no—
1639C22—681no—
1640C22—681no—
1641C22—681no—
1642C22—681no—
1643C22—681no—
1644C22—681no—
1645C22—1364no—
1646C22—1364no—
1647C22C22×D4×D1711yescharacteristic
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—21no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—172no—
1660C4—341no—
1661C4—341no—
1662C4—341no—
1663C4—341no—
1664C4—341no—
1665C4—681no—
1666C4—681no—
1667C4—681no—
1668C4—681no—
1669C4—681no—
1670C4—681no—
1671C42−1+4×D1711yescharacteristic
1672C42−1+4×D1711yescharacteristic
1673C2—41no—
1674C2—81no—
1675C2—81no—
1676C2—174no—
1677C2—681no—
1678C2—1361no—
1679C2—1361no—
1680C2D17×#53611yescharacteristic
1681C2D17×#57611yescharacteristic
1682C2D17×#57711yescharacteristic
subgroupG/H
centerC22C22×D4×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC17×#3241C2
socleC22×C17C23×D4
prime radicalD17×#540C2
hypercenter#3241D17
hypocenterC17C2×#3241
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C22 ◁ #117 ◁ #3241

Complements

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

NH ≅ G/Ntype
1. D17×#544C2semidirect
3. #14540044C2semidirect
4. #14540043C2semidirect
5. #14540042C2semidirect
6. #14540041C2semidirect
7. #14540040C2semidirect
8. #14540039C2semidirect
9. #14540038C2semidirect
10. #14540037C2semidirect
11. #14540036C2semidirect
12. #14540035C2semidirect
13. #14540034C2semidirect
14. #14540033C2semidirect
15. #14540032C2semidirect
16. #14540031C2semidirect
17. #14540030C2semidirect
18. D17×#501C2semidirect
19. D17×#499C2semidirect
20. D17×#490C2semidirect
21. D17×#486C2semidirect
22. D17×#481C2semidirect
23. D17×#482C2semidirect
24. D17×#482C2semidirect
25. D17×#480C2semidirect
26. D17×#478C2semidirect
27. D17×#478C2semidirect
28. D17×#476C2semidirect
29. D17×#474C2semidirect
30. D17×#433C2semidirect
31. C17×#3241C2semidirect
32. #11763440C22semidirect
34. #11763439C22semidirect
35. #11763439C22semidirect
38. #11763437C22semidirect
39. #11763437C22semidirect
41. #11763436C22semidirect
42. #11763436C22semidirect
75. #11763219C22semidirect
76. #11763218C22semidirect
77. #11763217C22semidirect
78. #11763217C22semidirect
79. #11763216C22semidirect
80. #11763216C22semidirect
81. #11763215C22semidirect
82. #11763211C22semidirect
83. #11763210C22semidirect
84. #11763210C22semidirect
85. #11763209C22semidirect
86. #11763209C22semidirect
87. #11763208C22semidirect
88. #11763208C22semidirect
89. #11763175C22semidirect
90. #11763174C22semidirect
91. #11763173C22semidirect
92. #11763172C22semidirect
93. #11763172C22semidirect
94. #11763172C22semidirect
95. #11763172C22semidirect
96. #11763157C22semidirect
97. #11763156C22semidirect
98. #11763155C22semidirect
99. #11763154C22semidirect
100. #11763154C22semidirect
101. #11763154C22semidirect
102. #11763154C22semidirect
103. #11763136C22semidirect
104. #11763136C22semidirect
105. #11763135C22semidirect
106. #11763135C22semidirect
107. #11763134C22semidirect
108. #11763134C22semidirect
109. #11763133C22semidirect
110. #11763133C22semidirect
111. #11763132C22semidirect
112. #11763132C22semidirect
113. #11763131C22semidirect
114. #11763131C22semidirect
115. #11763130C22semidirect
116. #11763130C22semidirect
117. #11763129C22semidirect
118. #11763129C22semidirect
119. #11763128C22semidirect
120. #11763127C22semidirect
121. #11763126C22semidirect
122. #11763126C22semidirect
123. #11763125C22semidirect
124. #11763124C22semidirect
125. #11763124C22semidirect
126. #11763123C22semidirect
127. #11763122C22semidirect
128. #11763121C22semidirect
129. #11763121C22semidirect
130. #11763120C22semidirect
131. #11763112C22semidirect
132. #11763112C22semidirect
133. #11763111C22semidirect
134. #11763111C22semidirect
135. #11763110C22semidirect
136. #11763110C22semidirect
137. #11763109C22semidirect
138. #11763109C22semidirect
139. #11763108C22semidirect
140. #11763108C22semidirect
141. #11763107C22semidirect
142. #11763107C22semidirect
143. #11763106C22semidirect
144. #11763106C22semidirect
145. #11763100C22semidirect
146. #11763099C22semidirect
147. #11763098C22semidirect
148. #11763098C22semidirect
149. #11763097C22semidirect
150. #11763097C22semidirect
151. #11763096C22semidirect
152. #11763090C22semidirect
153. #11763089C22semidirect
154. #11763088C22semidirect
155. #11763088C22semidirect
156. #11763087C22semidirect
157. #11763087C22semidirect
158. #11763086C22semidirect
159. #11762871C22semidirect
160. #11762870C22semidirect
161. #11762869C22semidirect
162. #11762869C22semidirect
163. #11762868C22semidirect
164. #11762867C22semidirect
165. #11762867C22semidirect
188. C17×#544C22semidirect
190. C17×#501C22semidirect
191. C17×#499C22semidirect
192. C17×#490C22semidirect
193. C17×#486C22semidirect
194. C17×#482C22semidirect
195. C17×#482C22semidirect
196. C17×#481C22semidirect
197. C17×#480C22semidirect
198. C17×#478C22semidirect
199. C17×#478C22semidirect
200. C17×#476C22semidirect
201. C17×#474C22semidirect
202. C17×#433C22semidirect
799. #3241D17direct (N × H)
874. #544C2×D17semidirect
915. #501C2×D17semidirect
923. #499C2×D17semidirect
931. #490C2×D17semidirect
939. #486C2×D17semidirect
954. #482C2×D17semidirect
955. #482C2×D17semidirect
963. #481C2×D17semidirect
971. #480C2×D17semidirect
986. #478C2×D17semidirect
987. #478C2×D17semidirect
995. #476C2×D17semidirect
1003. #474C2×D17semidirect
1011. #433C2×D17semidirect
1043. D17#3241direct (N × H)
1319. C17C2×#3241semidirect

Maximal subgroups

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

subgroupindex
D17×#5442
D17×#5402
#145400442
#145400432
#145400422
#145400412
#145400402
#145400392
#145400382
#145400372
#145400362
#145400352
#145400342
#145400332
#145400322
#145400312
#145400302
D17×#5012
D17×#4992
D17×#4902
D17×#4862
D17×#4812
D17×#4822
D17×#4802
D17×#4782
D17×#4762
D17×#4742
D17×#4332
C17×#32412
C2×#324117