Finite Group Databasebeta

← D17×#3347 #17912911

Subgroups — D17×#3347 #17912911

Order 4352.

1962 conjugacy classes of subgroups.

The subgroup lattice has 1748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D17×#555C211yesmaximal, characteristic, complemented
2D17×#553C211yesmaximal, characteristic, complemented
3#14541291C211yesmaximal, characteristic, complemented
4#14541290C211yesmaximal, characteristic, complemented
5#14541289C211yesmaximal, characteristic, complemented
6#14541288C211yesmaximal, characteristic, complemented
7#14541287C211yesmaximal, characteristic, complemented
8#14541286C211yesmaximal, characteristic, complemented
9#14541285C211yesmaximal, characteristic, complemented
10#14541284C211yesmaximal, characteristic, complemented
11#14541283C211yesmaximal, characteristic, complemented
12#14541282C211yesmaximal, characteristic, complemented
13#14541281C211yesmaximal, characteristic, complemented
14#14541280C211yesmaximal, characteristic, complemented
15#14541279C211yesmaximal, characteristic, complemented
16#14541278C211yesmaximal, characteristic, complemented
17#14541277C211yesmaximal, characteristic, complemented
18D17×#501C211yesmaximal, characteristic, complemented
19D17×#482C211yesmaximal, characteristic, complemented
20D17×#482C211yesmaximal, characteristic, complemented
21D17×#482C211yesmaximal, characteristic, complemented
22D17×#480C211yesmaximal, characteristic, complemented
23D17×#478C211yesmaximal, characteristic, complemented
24D17×#474C211yesmaximal, characteristic, complemented
25D17×#469C211yesmaximal, characteristic, complemented
26D17×#466C211yesmaximal, characteristic, complemented
27D17×#442C211yesmaximal, characteristic, complemented
28D17×#435C211yesmaximal, characteristic, complemented
29D17×#428C211yesmaximal, characteristic, complemented
30D17×#427C211yesmaximal, characteristic, complemented
31C17×#3347C211yesmaximal, characteristic, complemented
32C2×D8×D17C2211yescharacteristic
33C2×M16×D17C2211yescharacteristic
34C22×C8×D17C2211yescharacteristic
35#11763525C2211yescharacteristic, complemented
36#11763524C2211yescharacteristic, complemented
37#11763524C2211yescharacteristic, complemented
38#11763523—21no—
39#11763523C2211yescharacteristic, complemented
40#11763523C2211yescharacteristic, complemented
41#11763522—21no—
42#11763522C2211yescharacteristic, complemented
43#11763522C2211yescharacteristic, complemented
44#11763521—21no—
45#11763521—21no—
46#11763512C2211yescharacteristic, complemented
47#11763511C2211yescharacteristic, complemented
48#11763510—21no—
49#11763509C2211yescharacteristic, complemented
50#11763508—21no—
51#11763507C2211yescharacteristic, complemented
52#11763506C2211yescharacteristic, complemented
53#11763505C2211yescharacteristic, complemented
54#11763504—21no—
55#11763503C2211yescharacteristic, complemented
56#11763502—21no—
57C4⋊Q8×D17C2211yescharacteristic
58#126×D17—21no—
59#125×D17C2211yescharacteristic
60#124×D17—21no—
61#124×D17—21no—
62#123×D17—21no—
63#121×D17—21no—
64#121×D17—21no—
65#121×D17C2211yescharacteristic
66#121×D17C2211yescharacteristic
67#121×D17C2211yescharacteristic
68#121×D17C2211yescharacteristic
69C4×D4×D17—21no—
70C4×D4×D17C2211yescharacteristic
71C4×D4×D17C2211yescharacteristic
72C4×D4×D17C2211yescharacteristic
73#117×D17—21no—
74#117×D17C2211yescharacteristic
75#117×D17C2211yescharacteristic
76#117×D17C2211yescharacteristic
77C2×C4⋊C4×D17C2211yescharacteristic
78#11763219C2211yescharacteristic, complemented
79#11763218C2211yescharacteristic, complemented
80#11763217C2211yescharacteristic, complemented
81#11763217C2211yescharacteristic, complemented
82#11763216C2211yescharacteristic, complemented
83#11763216C2211yescharacteristic, complemented
84#11763215C2211yescharacteristic, complemented
85#11763136C2211yescharacteristic, complemented
86#11763136C2211yescharacteristic, complemented
87#11763136C2211yescharacteristic, complemented
88#11763135C2211yescharacteristic, complemented
89#11763135C2211yescharacteristic, complemented
90#11763135C2211yescharacteristic, complemented
91#11763134C2211yescharacteristic, complemented
92#11763134C2211yescharacteristic, complemented
93#11763134C2211yescharacteristic, complemented
94#11763133C2211yescharacteristic, complemented
95#11763133C2211yescharacteristic, complemented
96#11763133C2211yescharacteristic, complemented
97#11763132C2211yescharacteristic, complemented
98#11763132C2211yescharacteristic, complemented
99#11763132C2211yescharacteristic, complemented
100#11763131C2211yescharacteristic, complemented
101#11763131C2211yescharacteristic, complemented
102#11763131C2211yescharacteristic, complemented
103#11763130C2211yescharacteristic, complemented
104#11763130C2211yescharacteristic, complemented
105#11763130C2211yescharacteristic, complemented
106#11763124C2211yescharacteristic, complemented
107#11763124C2211yescharacteristic, complemented
108#11763123C2211yescharacteristic, complemented
109#11763122C2211yescharacteristic, complemented
110#11763121C2211yescharacteristic, complemented
111#11763121C2211yescharacteristic, complemented
112#11763120C2211yescharacteristic, complemented
113#11763112C2211yescharacteristic, complemented
114#11763111C2211yescharacteristic, complemented
115#11763110C2211yescharacteristic, complemented
116#11763109C2211yescharacteristic, complemented
117#11763108C2211yescharacteristic, complemented
118#11763107C2211yescharacteristic, complemented
119#11763106C2211yescharacteristic, complemented
120#11763090C2211yescharacteristic, complemented
121#11763089C2211yescharacteristic, complemented
122#11763088C2211yescharacteristic, complemented
123#11763088C2211yescharacteristic, complemented
124#11763087C2211yescharacteristic, complemented
125#11763087C2211yescharacteristic, complemented
126#11763086C2211yescharacteristic, complemented
127#11763063C2211yescharacteristic, complemented
128#11763062C2211yescharacteristic, complemented
129#11763061C2211yescharacteristic, complemented
130#11763061C2211yescharacteristic, complemented
131#11763060C2211yescharacteristic, complemented
132#11763060C2211yescharacteristic, complemented
133#11763059C2211yescharacteristic, complemented
134#11763046C2211yescharacteristic, complemented
135#11763045C2211yescharacteristic, complemented
136#11763044C2211yescharacteristic, complemented
137#11763044C2211yescharacteristic, complemented
138#11763043C2211yescharacteristic, complemented
139#11763043C2211yescharacteristic, complemented
140#11763042C2211yescharacteristic, complemented
141#11762922C2211yescharacteristic, complemented
142#11762921C2211yescharacteristic, complemented
143#11762920C2211yescharacteristic, complemented
144#11762919C2211yescharacteristic, complemented
145#11762919C2211yescharacteristic, complemented
146#11762918C2211yescharacteristic, complemented
147#11762918C2211yescharacteristic, complemented
148#11762883C2211yescharacteristic, complemented
149#11762882C2211yescharacteristic, complemented
150#11762881C2211yescharacteristic, complemented
151#11762880C2211yescharacteristic, complemented
152#11762879C2211yescharacteristic, complemented
153#11762878C2211yescharacteristic, complemented
154#11762877C2211yescharacteristic, complemented
155#11762852C2211yescharacteristic, complemented
156#11762851C2211yescharacteristic, complemented
157#11762850C2211yescharacteristic, complemented
158#11762850C2211yescharacteristic, complemented
159#11762849C2211yescharacteristic, complemented
160#11762848C2211yescharacteristic, complemented
161#11762848C2211yescharacteristic, complemented
162#11762847C2211yescharacteristic, complemented
163#11762846C2211yescharacteristic, complemented
164#11762846C2211yescharacteristic, complemented
165#11762845C2211yescharacteristic, complemented
166#11762845C2211yescharacteristic, complemented
167#11762844C2211yescharacteristic, complemented
168#11762844C2211yescharacteristic, complemented
169#107×D17C2211yescharacteristic
170#107×D17C2211yescharacteristic
171#107×D17C2211yescharacteristic
172#107×D17C2211yescharacteristic
173#107×D17C2211yescharacteristic
174#106×D17C2211yescharacteristic
175#106×D17C2211yescharacteristic
176#106×D17C2211yescharacteristic
177#106×D17C2211yescharacteristic
178C4⋊C8×D17C2211yescharacteristic
179#102×D17C2211yescharacteristic
180#102×D17C2211yescharacteristic
181#102×D17C2211yescharacteristic
182#102×D17C2211yescharacteristic
183#102×D17C2211yescharacteristic
184#102×D17C2211yescharacteristic
185C22⋊C8×D17C2211yescharacteristic
186C22⋊C8×D17C2211yescharacteristic
187#97×D17C2211yescharacteristic
188C17×#555C2211yescharacteristic, complemented
189C17×#553C2211yescharacteristic, complemented
190C17×#501C2211yescharacteristic, complemented
191C17×#482C2211yescharacteristic, complemented
192C17×#482C2211yescharacteristic, complemented
193C17×#482C2211yescharacteristic, complemented
194C17×#480C2211yescharacteristic, complemented
195C17×#478C2211yescharacteristic, complemented
196C17×#474C2211yescharacteristic, complemented
197C17×#469C2211yescharacteristic, complemented
198C17×#466C2211yescharacteristic, complemented
199C17×#442C2211yescharacteristic, complemented
200C17×#435C2211yescharacteristic, complemented
201C17×#428C2211yescharacteristic, complemented
202C17×#427C2211yescharacteristic, complemented
203C2×Q8×D17—21no—
204C2×D4×D17—21no—
205C2×D4×D17—21no—
206C2×D4×D17—21no—
207C2×D4×D17—21no—
208C2×D4×D17D411yescharacteristic
209C2×D4×D17C2311yescharacteristic
210C2×D4×D17C2311yescharacteristic
211C22×C4×D17—21no—
212C22×C4×D17—21no—
213C22×C4×D17—21no—
214C22×C4×D17C2311yescharacteristic
215C22×C4×D17C2311yescharacteristic
216C2×D8×C17C2311yescharacteristic
217C2×M16×C17C2311yescharacteristic
218C22×C8×C17C2311yescharacteristic
219C17×C4⋊Q8C2311yescharacteristic
220C17×#126—21no—
221C17×#125C2311yescharacteristic
222C17×#124—21no—
223C17×#124—21no—
224C17×#123—21no—
225C17×#121—21no—
226C17×#121—21no—
227C17×#121C2311yescharacteristic
228C17×#121C2311yescharacteristic
229C17×#121C2311yescharacteristic
230C17×#121C2311yescharacteristic
231C4×D4×C17—21no—
232C4×D4×C17C2311yescharacteristic
233C4×D4×C17C2311yescharacteristic
234C4×D4×C17C2311yescharacteristic
235C17×#117—21no—
236C17×#117C2311yescharacteristic
237C17×#117C2311yescharacteristic
238C17×#117C2311yescharacteristic
239C2×C4⋊C4×C17C2311yescharacteristic
240#10587633—21no—
241#10587633—21no—
242#10587630—21no—
243#10587625—21no—
244#10587625—21no—
245#10587625—21no—
246#10587625—21no—
247#10587625—21no—
248#10587625—21no—
249#10587625—21no—
250#10587625—21no—
251#10587624—21no—
252#10587624—21no—
253#10587624C2311yescharacteristic
254#10587624C2311yescharacteristic
255#10587624C2311yescharacteristic
256#10587624C2311yescharacteristic
257#10587622—21no—
258#10587622—21no—
259#10587621—21no—
260D4×Dic17—21no—
261D4×Dic17D411yescharacteristic
262D4×Dic17C2311yescharacteristic
263D4×Dic17C2311yescharacteristic
264C2×#63228C2311yescharacteristic
265C2×#63228C2311yescharacteristic
266#10587616—21no—
267#10587616—21no—
268#10587616C2311yescharacteristic
269#10587616C2311yescharacteristic
270#10587616C2311yescharacteristic
271#10587616C2311yescharacteristic
272#10587615—21no—
273C4×C22⋊D17—21no—
274C4×C22⋊D17—21no—
275C4×C22⋊D17—21no—
276C4×C22⋊D17—21no—
277C4×C22⋊D17C2311yescharacteristic
278C4×C22⋊D17C2311yescharacteristic
279#10587612—21no—
280#10587612C2311yescharacteristic
281#10587612C2311yescharacteristic
282#10587612C2311yescharacteristic
283C2×C4⋊Dic17C2311yescharacteristic
284C2×#63225—21no—
285C2×#63223C2311yescharacteristic
286C22×#3622C2311yescharacteristic
287D8×D17—24no—
288M16×D17—24no—
289C2×D136C2311yescharacteristic
290C2×#63218C2311yescharacteristic
291C2×#63218C2311yescharacteristic
292C2×C8×D17—24no—
293C2×C8×D17C2311yescharacteristic
294C2×C8×D17C2311yescharacteristic
295C2×C8×D17C2311yescharacteristic
296C2×C8×D17C2311yescharacteristic
297C2×C8×D17C2311yescharacteristic
298C2×C8×D17C2311yescharacteristic
299#10587584—21no—
300#10587584—21no—
301#10587584—21no—
302#10587581—21no—
303#10587581—21no—
304#10587581C2311yescharacteristic
305#10587581C2311yescharacteristic
306#10587581C2311yescharacteristic
307#10587581C2311yescharacteristic
308#10587580—21no—
309#10587580—21no—
310#10587579—21no—
311#10587579D411yescharacteristic
312#10587579C2311yescharacteristic
313#10587579C2311yescharacteristic
314#10587578—21no—
315#10587578—21no—
316#10587578C2311yescharacteristic
317#10587578C2311yescharacteristic
318#10587578C2311yescharacteristic
319#10587578C2311yescharacteristic
320#10587578C2311yescharacteristic
321#10587578C2311yescharacteristic
322C4⋊C4×D17—21no—
323C4⋊C4×D17—21no—
324C4⋊C4×D17—21no—
325C4⋊C4×D17—21no—
326C4⋊C4×D17—21no—
327C4⋊C4×D17D411yescharacteristic
328C4⋊C4×D17C2311yescharacteristic
329C4⋊C4×D17C2311yescharacteristic
330C4⋊C4×D17C2311yescharacteristic
331C4⋊C4×D17C2311yescharacteristic
332C4⋊C4×D17C2311yescharacteristic
333C4⋊C4×D17C2311yescharacteristic
334C4⋊C4×D17C2311yescharacteristic
335C4⋊C4×D17C2311yescharacteristic
336#10587576C2311yescharacteristic
337#10587576C2311yescharacteristic
338#10587575—21no—
339#10587575—21no—
340#10587574—21no—
341#10587574C2311yescharacteristic
342#10587574C2311yescharacteristic
343#10587572—21no—
344#10587571—21no—
345#10587571—21no—
346#10587571—21no—
347#10587571—21no—
348#10587571—21no—
349#10587571—21no—
350#10587571—21no—
351#10587571—21no—
352#10587570—21no—
353#10587570—21no—
354#10587570—21no—
355#10587570—21no—
356#10587570—21no—
357#10587570—21no—
358#10587570—21no—
359#10587570—21no—
360#10587569—21no—
361#10587569—21no—
362#10587567—21no—
363#10587567—21no—
364#10587567—21no—
365#10587567—21no—
366#10587567D411yescharacteristic
367#10587567D411yescharacteristic
368C22⋊C4×D17—21no—
369C22⋊C4×D17—21no—
370C22⋊C4×D17—21no—
371C22⋊C4×D17—21no—
372C22⋊C4×D17—21no—
373C22⋊C4×D17—21no—
374C22⋊C4×D17—21no—
375C22⋊C4×D17—21no—
376C22⋊C4×D17—21no—
377C22⋊C4×D17D411yescharacteristic
378C22⋊C4×D17D411yescharacteristic
379#10587565—21no—
380#10587565—21no—
381#10587565—21no—
382#10587563—21no—
383#10587563—21no—
384#10587563—21no—
385#10587563—21no—
386#10587563—21no—
387#10587562—21no—
388#10587561—21no—
389#10587561—21no—
390C4×D68—21no—
391C4×D68C2311yescharacteristic
392C4×D68C2311yescharacteristic
393C4×D68C2311yescharacteristic
394#10587558—21no—
395#10587558—21no—
396#10587558—21no—
397#10587558—21no—
398#10587558—21no—
399C42×D17—21no—
400C42×D17—21no—
401C42×D17—21no—
402C42×D17C2311yescharacteristic
403#10587556C2311yescharacteristic
404#10587555C2311yescharacteristic
405C17×#107C2311yescharacteristic
406C17×#107C2311yescharacteristic
407C17×#107C2311yescharacteristic
408C17×#107C2311yescharacteristic
409C17×#107C2311yescharacteristic
410C17×#106C2311yescharacteristic
411C17×#106C2311yescharacteristic
412C17×#106C2311yescharacteristic
413C17×#106C2311yescharacteristic
414C17×C4⋊C8C2311yescharacteristic
415C17×#102C2311yescharacteristic
416C17×#102C2311yescharacteristic
417C17×#102C2311yescharacteristic
418C17×#102C2311yescharacteristic
419C17×#102C2311yescharacteristic
420C17×#102C2311yescharacteristic
421C17×C22⋊C8C2311yescharacteristic
422C17×C22⋊C8C2311yescharacteristic
423C17×#97C2311yescharacteristic
424#10587503C2311yescharacteristic
425#10587503C2311yescharacteristic
426#10587503C2311yescharacteristic
427#10587503C2311yescharacteristic
428#10587503C2311yescharacteristic
429#10587503C2311yescharacteristic
430C22⋊#3622C2311yescharacteristic
431C22⋊#3622C2311yescharacteristic
432#10587492C2311yescharacteristic
433#10587492C2311yescharacteristic
434#10587492C2311yescharacteristic
435#10587492C2311yescharacteristic
436#10587492C2311yescharacteristic
437#10587492C2311yescharacteristic
438#10587491C2311yescharacteristic
439#10587491C2311yescharacteristic
440#10587491C2311yescharacteristic
441#10587491C2311yescharacteristic
442#10587489C2311yescharacteristic
443#10587489C2311yescharacteristic
444#10587489C2311yescharacteristic
445#10587489C2311yescharacteristic
446#10587489C2311yescharacteristic
447#10587488C2311yescharacteristic
448#10587488C2311yescharacteristic
449#10587488C2311yescharacteristic
450#10587488C2311yescharacteristic
451#10587486C2311yescharacteristic
452#10587486C2311yescharacteristic
453#10587485C2311yescharacteristic
454#10587485C2311yescharacteristic
455#10587480C2311yescharacteristic
456#10587480C2311yescharacteristic
457#10587480C2311yescharacteristic
458#10587480C2311yescharacteristic
459#10587480C2311yescharacteristic
460#10587480C2311yescharacteristic
461#10587479C2311yescharacteristic
462#10587479C2311yescharacteristic
463#10587479C2311yescharacteristic
464#10587479C2311yescharacteristic
465#10587479C2311yescharacteristic
466#10587479C2311yescharacteristic
467#10587479C2311yescharacteristic
468#10587479C2311yescharacteristic
469#10587478C2311yescharacteristic
470#10587478C2311yescharacteristic
471#10587478C2311yescharacteristic
472#10587478C2311yescharacteristic
473#10587478C2311yescharacteristic
474#10587478C2311yescharacteristic
475#10587478C2311yescharacteristic
476#10587478C2311yescharacteristic
477#10587478C2311yescharacteristic
478#10587478C2311yescharacteristic
479C4⋊#3622C2311yescharacteristic
480#10587474C2311yescharacteristic
481C23×D17—21no—
482C23×D17—21no—
483C23×D17C2×D411yescharacteristic
484C23×D17C2×D411yescharacteristic
485C2×Q8×C17—21no—
486C2×D4×C17—21no—
487C2×D4×C17—21no—
488C2×D4×C17—21no—
489C2×D4×C17—21no—
490C2×D4×C17C2×D411yescharacteristic
491C2×D4×C17C2411yescharacteristic
492C2×D4×C17C2411yescharacteristic
493C22×C4×C17—21no—
494C22×C4×C17—21no—
495C22×C4×C17—21no—
496C22×C4×C17C2411yescharacteristic
497C22×C4×C17C2411yescharacteristic
498C2×C22⋊D17—21no—
499C2×C22⋊D17—21no—
500C2×C22⋊D17—21no—
501C2×C22⋊D17—21no—
502C2×C22⋊D17—21no—
503C2×C22⋊D17—21no—
504C2×C22⋊D17—21no—
505C2×C22⋊D17—21no—
506C2×C22⋊D17—21no—
507C2×C22⋊D17—21no—
508C2×C22⋊D17C2×D411yescharacteristic
509C2×C22⋊D17C2×D411yescharacteristic
510C22×Dic17—21no—
511C22×Dic17—21no—
512C22×Dic17—21no—
513C22×Dic17C2×D411yescharacteristic
514C22×Dic17C2×D411yescharacteristic
515Q8×D17—82no—
516D4×D17—22no—
517D4×D17—22no—
518D4×D17—22no—
519D4×D17—22no—
520D4×D17—42no—
521D4×D17—44no—
522D4×D17—82no—
523D4×D17—82no—
524D4×D17—82no—
525C2×D68—21no—
526C2×D68—21no—
527C2×D68—21no—
528C2×D68—21no—
529C2×D68C2×D411yescharacteristic
530C2×D68C2411yescharacteristic
531C2×D68C2411yescharacteristic
532C2×C4×D17—22no—
533C2×C4×D17—22no—
534C2×C4×D17—22no—
535C2×C4×D17—22no—
536C2×C4×D17—21no—
537C2×C4×D17—21no—
538C2×C4×D17—21no—
539C2×C4×D17—21no—
540C2×C4×D17—21no—
541C2×C4×D17—21no—
542C2×C4×D17—21no—
543C2×C4×D17—21no—
544C2×C4×D17—21no—
545C2×C4×D17—21no—
546C2×C4×D17—21no—
547C2×C4×D17—21no—
548C2×C4×D17—44no—
549C2×C4×D17—82no—
550C2×C4×D17—82no—
551C2×C4×D17C2×D411yescharacteristic
552C2×C4×D17C2×D411yescharacteristic
553C2×C4×D17C2×D411yescharacteristic
554C2×C4×D17C2×D411yescharacteristic
555C2×C4×D17C2×D411yescharacteristic
556C2×C4×D17C2×D411yescharacteristic
557C2×C4×D17C2411yescharacteristic
558C2×C4×D17C2411yescharacteristic
559C2×C4×D17C2411yescharacteristic
560C2×Dic34—21no—
561C2×Dic34—21no—
562C2×Dic34—21no—
563D8×C17—22no—
564M16×C17—22no—
565C2×C8×C17—22no—
566C2×C8×C17C2411yescharacteristic
567C2×C8×C17C2411yescharacteristic
568C2×C8×C17C2411yescharacteristic
569C2×C8×C17C2411yescharacteristic
570C4⋊C4×C17—21no—
571C4⋊C4×C17—21no—
572C4⋊C4×C17—21no—
573C4⋊C4×C17—21no—
574C4⋊C4×C17C2×D411yescharacteristic
575C4⋊C4×C17C2411yescharacteristic
576C4⋊C4×C17C2411yescharacteristic
577C4⋊C4×C17C2411yescharacteristic
578C4⋊C4×C17C2411yescharacteristic
579C4⋊C4×C17C2411yescharacteristic
580C4⋊C4×C17C2411yescharacteristic
581C22⋊C4×C17—21no—
582C22⋊C4×C17—21no—
583C22⋊C4×C17—21no—
584C22⋊C4×C17—21no—
585C22⋊C4×C17—21no—
586C22⋊C4×C17—21no—
587C22⋊C4×C17—21no—
588C22⋊C4×C17—21no—
589C22⋊C4×C17—21no—
590C22⋊C4×C17C2×D411yescharacteristic
591C22⋊C4×C17C2×D411yescharacteristic
592C42×C17—21no—
593C42×C17—21no—
594C42×C17—21no—
595C42×C17C2411yescharacteristic
596C22⋊Dic17—21no—
597C22⋊Dic17—21no—
598C22⋊Dic17—21no—
599C22⋊Dic17—21no—
600C22⋊Dic17—21no—
601C22⋊Dic17—21no—
602C22⋊Dic17—21no—
603C22⋊Dic17—21no—
604C22⋊Dic17—21no—
605C22⋊Dic17C2×D411yescharacteristic
606C22⋊Dic17C2×D411yescharacteristic
607#63228—22no—
608#63228—22no—
609#63227—21no—
610#63227—21no—
611#63227—21no—
612#63227—21no—
613#63227—21no—
614#63227—21no—
615#63227—21no—
616#63227—21no—
617#63227—21no—
618#63227—21no—
619#63227—21no—
620#63227—21no—
621#63227—21no—
622#63227—21no—
623#63227—21no—
624#63227—21no—
625#63227—21no—
626#63227—21no—
627#63227C2×D411yescharacteristic
628#63227C2×D411yescharacteristic
629#63227C2×D411yescharacteristic
630#63227C2×D411yescharacteristic
631C4⋊Dic17—21no—
632C4⋊Dic17—21no—
633C4⋊Dic17—21no—
634C4⋊Dic17—21no—
635C4⋊Dic17C2×D411yescharacteristic
636C4⋊Dic17C2411yescharacteristic
637C4⋊Dic17C2411yescharacteristic
638C4⋊Dic17C2411yescharacteristic
639C4⋊Dic17C2411yescharacteristic
640C4⋊Dic17C2411yescharacteristic
641C4⋊Dic17C2411yescharacteristic
642#63225—21no—
643#63225—21no—
644#63225—21no—
645#63225—21no—
646#63225—21no—
647#63225—21no—
648#63225—21no—
649#63225—21no—
650#63225—21no—
651#63225—21no—
652#63225—21no—
653#63225—21no—
654#63225—21no—
655#63225—21no—
656#63225C2×D411yescharacteristic
657#63225C2×D411yescharacteristic
658C4×Dic17—21no—
659C4×Dic17—21no—
660C4×Dic17—21no—
661C4×Dic17—21no—
662C4×Dic17—21no—
663C4×Dic17—21no—
664C4×Dic17—21no—
665C4×Dic17—21no—
666C4×Dic17—21no—
667C4×Dic17C2×D411yescharacteristic
668C4×Dic17C2×D411yescharacteristic
669C4×Dic17C2411yescharacteristic
670#63223—22no—
671C2×#3622—22no—
672C2×#3622C2411yescharacteristic
673C2×#3622C2411yescharacteristic
674C2×#3622C2411yescharacteristic
675C2×#3622C2411yescharacteristic
676D136—22no—
677#63218—22no—
678#63218—22no—
679C8×D17—22no—
680C8×D17—22no—
681C8×D17—22no—
682C8×D17—22no—
683C8×D17—22no—
684C8×D17#4114yes—
685C2×#3347—171nomaximal, Sylow
686C23×C17—21no—
687C23×C17—21no—
688C23×C17C22×D411yescharacteristic
689C23×C17C22×D411yescharacteristic
690C22×D17—22no—
691C22×D17—22no—
692C22×D17—22no—
693C22×D17—22no—
694C22×D17—22no—
695C22×D17—22no—
696C22×D17—21no—
697C22×D17—21no—
698C22×D17—42no—
699C22×D17—42no—
700C22×D17—42no—
701C22×D17—42no—
702C22×D17—42no—
703C22×D17—42no—
704C22×D17C22×D411yescharacteristic
705C22×D17C22×D411yescharacteristic
706C22×D17C22×D411yescharacteristic
707Q8×C17—81no—
708D4×C17—21no—
709D4×C17—21no—
710D4×C17—21no—
711D4×C17—21no—
712D4×C17—41no—
713D4×C17—42no—
714D4×C17—81no—
715D4×C17—81no—
716D4×C17—81no—
717C2×C4×C17—21no—
718C2×C4×C17—21no—
719C2×C4×C17—21no—
720C2×C4×C17—21no—
721C2×C4×C17—21no—
722C2×C4×C17—21no—
723C2×C4×C17—21no—
724C2×C4×C17—21no—
725C2×C4×C17—21no—
726C2×C4×C17—21no—
727C2×C4×C17—42no—
728C2×C4×C17—81no—
729C2×C4×C17—81no—
730C2×C4×C17C22×D411yescharacteristic
731C2×C4×C17C22×D411yescharacteristic
732C2×C4×C17C22×D411yescharacteristic
733C2×C4×C17C22×D411yescharacteristic
734C2×C4×C17C2511yescharacteristic
735C22⋊D17—41no—
736C22⋊D17—41no—
737C22⋊D17—42no—
738C22⋊D17—42no—
739C22⋊D17—42no—
740C22⋊D17—42no—
741C22⋊D17—81no—
742C22⋊D17—81no—
743C22⋊D17—81no—
744C22⋊D17—81no—
745C22⋊D17—81no—
746C22⋊D17—81no—
747C2×Dic17—22no—
748C2×Dic17—22no—
749C2×Dic17—21no—
750C2×Dic17—21no—
751C2×Dic17—21no—
752C2×Dic17—21no—
753C2×Dic17—21no—
754C2×Dic17—21no—
755C2×Dic17—42no—
756C2×Dic17—81no—
757C2×Dic17—81no—
758C2×Dic17C22×D411yescharacteristic
759C2×Dic17C22×D411yescharacteristic
760C2×Dic17C22×D411yescharacteristic
761C2×Dic17C22×D411yescharacteristic
762C2×Dic17C22×D411yescharacteristic
763D68—21no—
764D68—21no—
765D68—21no—
766D68—21no—
767D68—41no—
768D68—42no—
769D68—81no—
770D68—81no—
771D68—81no—
772C4×D17—22no—
773C4×D17—22no—
774C4×D17—22no—
775C4×D17—22no—
776C4×D17—21no—
777C4×D17—21no—
778C4×D17—21no—
779C4×D17—21no—
780C4×D17—22no—
781C4×D17—22no—
782C4×D17—42no—
783C4×D17—42no—
784C4×D17—42no—
785C4×D17—42no—
786C4×D17—42no—
787C4×D17—42no—
788C4×D17—42no—
789C4×D17—42no—
790C4×D17—81no—
791C4×D17—81no—
792C4×D17—81no—
793C4×D17—81no—
794C4×D17C2×#4112yes—
795C4×D172−1+412yes—
796Dic34—81no—
797Dic34—81no—
798Dic34—81no—
799C8×C17—21no—
800C8×C17—21no—
801C8×C17—21no—
802C8×C17C2×#4112yes—
803#3622—21no—
804#3622—21no—
805#3622—21no—
806#3622C2×#4112yes—
807C2×#555—171no—
808C2×#553—171no—
809#3347—171no—
810#3347—171no—
811#3347—171no—
812#3347—171no—
813#3347—171no—
814#3347—171no—
815#3347—171no—
816#3347—171no—
817#3347—171no—
818#3347—171no—
819#3347—171no—
820#3347—171no—
821#3347—171no—
822#3347—171no—
823#3347—171no—
824#3347D1711yescharacteristic, direct product factor
825C2×#501—171no—
826C2×#482—171no—
827C2×#482—171no—
828C2×#482—171no—
829C2×#480—171no—
830C2×#478—171no—
831C2×#474—171no—
832C2×#469—171no—
833C2×#466—171no—
834C2×#442—171no—
835C2×#435—171no—
836C2×#428—171no—
837C2×#427—171no—
838C22×C17—21no—
839C22×C17—21no—
840C22×C17—21no—
841C22×C17—21no—
842C22×C17—21no—
843C22×C17—21no—
844C22×C17—41no—
845C22×C17—41no—
846C22×C17—41no—
847C22×C17—41no—
848C22×C17—41no—
849C22×C17—41no—
850C22×C17C23×D411yescharacteristic
851C2×D17—21no—
852C2×D17—21no—
853C2×D17—21no—
854C2×D17—21no—
855C2×D17—21no—
856C2×D17—21no—
857C2×D17—44no—
858C2×D17—44no—
859C2×D17—41no—
860C2×D17—41no—
861C2×D17—41no—
862C2×D17—41no—
863C2×D17—41no—
864C2×D17—41no—
865C2×D17—84no—
866C2×D17—84no—
867C2×D17#54712yes—
868C2×D17#57512yes—
869C2×D17#57612yes—
870C4×C17—21no—
871C4×C17—21no—
872C4×C17—21no—
873C4×C17—21no—
874C4×C17—41no—
875C4×C17—41no—
876C4×C17—41no—
877C4×C17—41no—
878C4×C17—41no—
879C4×C17—41no—
880C4×C17C22×#4111yescharacteristic
881C4×C17C2×2−1+411yescharacteristic
882Dic17—21no—
883Dic17—21no—
884Dic17—21no—
885Dic17—21no—
886Dic17—41no—
887Dic17—41no—
888Dic17—41no—
889Dic17—41no—
890Dic17—41no—
891Dic17—41no—
892Dic17#54712yes—
893C22×D8—171no—
894C22×M16—171no—
895C23×C8—171no—
896#555—171no—
897#555—171no—
898#555—171no—
899#555—171no—
900#555—171no—
901#555—171no—
902#555—171no—
903#555—341no—
904#555—341no—
905#555—341no—
906#555—341no—
907#555C2×D1711yescharacteristic, complemented
908#553—171no—
909#553—171no—
910#553—171no—
911#553—171no—
912#553—171no—
913#553—171no—
914#553—171no—
915#553—341no—
916#553—341no—
917#553—341no—
918#553—341no—
919#553C2×D1711yescharacteristic, complemented
920C2×C4⋊Q8—171no—
921C2×#126—341no—
922C2×#125—171no—
923C2×#124—341no—
924C2×#124—341no—
925C2×#123—341no—
926C2×#121—171no—
927C2×#121—171no—
928C2×#121—171no—
929C2×#121—171no—
930C2×#121—341no—
931C2×#121—341no—
932C2×C4×D4—171no—
933C2×C4×D4—171no—
934C2×C4×D4—171no—
935C2×C4×D4—341no—
936C2×#117—171no—
937C2×#117—171no—
938C2×#117—171no—
939C2×#117—341no—
940C22×C4⋊C4—171no—
941#501—171no—
942#501—171no—
943#501—171no—
944#501—171no—
945#501—171no—
946#501—171no—
947#501—171no—
948#501C2×D1711yescharacteristic, complemented
949#482—171no—
950#482—171no—
951#482—171no—
952#482—171no—
953#482—171no—
954#482—171no—
955#482—171no—
956#482—171no—
957#482—171no—
958#482—171no—
959#482—171no—
960#482—171no—
961#482—171no—
962#482—171no—
963#482—171no—
964#482—171no—
965#482—171no—
966#482—171no—
967#482—171no—
968#482—171no—
969#482—171no—
970#482C2×D1711yescharacteristic, complemented
971#482C2×D1711yescharacteristic, complemented
972#482C2×D1711yescharacteristic, complemented
973#480—171no—
974#480—171no—
975#480—171no—
976#480—171no—
977#480—171no—
978#480—171no—
979#480—171no—
980#480C2×D1711yescharacteristic, complemented
981#478—171no—
982#478—171no—
983#478—171no—
984#478—171no—
985#478—171no—
986#478—171no—
987#478—171no—
988#478C2×D1711yescharacteristic, complemented
989#474—171no—
990#474—171no—
991#474—171no—
992#474—171no—
993#474—171no—
994#474—171no—
995#474—171no—
996#474C2×D1711yescharacteristic, complemented
997#469—171no—
998#469—171no—
999#469—171no—
1000#469—171no—
1001#469—171no—
1002#469—171no—
1003#469—171no—
1004#469C2×D1711yescharacteristic, complemented
1005#466—171no—
1006#466—171no—
1007#466—171no—
1008#466—171no—
1009#466—171no—
1010#466—171no—
1011#466—171no—
1012#466C2×D1711yescharacteristic, complemented
1013#442—171no—
1014#442—171no—
1015#442—171no—
1016#442—171no—
1017#442—171no—
1018#442—171no—
1019#442—171no—
1020#442C2×D1711yescharacteristic, complemented
1021#435—171no—
1022#435—171no—
1023#435—171no—
1024#435—171no—
1025#435—171no—
1026#435—171no—
1027#435—171no—
1028#435C2×D1711yescharacteristic, complemented
1029#428—171no—
1030#428—171no—
1031#428—171no—
1032#428—171no—
1033#428—171no—
1034#428—171no—
1035#428—171no—
1036#428C2×D1711yescharacteristic, complemented
1037#427—171no—
1038#427—171no—
1039#427—171no—
1040#427—171no—
1041#427—171no—
1042#427—171no—
1043#427—171no—
1044#427C2×D1711yescharacteristic, complemented
1045C2×#107—171no—
1046C2×#107—171no—
1047C2×#107—171no—
1048C2×#107—171no—
1049C2×#107—171no—
1050C2×#106—171no—
1051C2×#106—171no—
1052C2×#106—171no—
1053C2×#106—171no—
1054C2×C4⋊C8—171no—
1055C2×#102—171no—
1056C2×#102—171no—
1057C2×#102—171no—
1058C2×#102—171no—
1059C2×#102—171no—
1060C2×#102—171no—
1061C2×C22⋊C8—171no—
1062C2×C22⋊C8—171no—
1063C2×#97—171no—
1064C2×C17—41no—
1065C2×C17—41no—
1066C2×C17—81no—
1067C2×C17—81no—
1068C2×C17C2×#54711yescharacteristic
1069C2×C17C2×#57511yescharacteristic
1070C2×C17C2×#57611yescharacteristic
1071D17—41no—
1072D17—41no—
1073D17—81no—
1074D17—81no—
1075D17#334714yesdirect product factor
1076C22×Q8—341no—
1077C22×D4—171no—
1078C22×D4—171no—
1079C22×D4—171no—
1080C22×D4—341no—
1081C22×D4—341no—
1082C22×D4—341no—
1083C22×D4—341no—
1084C23×C4—171no—
1085C23×C4—171no—
1086C23×C4—341no—
1087C23×C4—341no—
1088C23×C4—341no—
1089C2×D8—171no—
1090C2×D8—171no—
1091C2×D8—171no—
1092C2×D8—344no—
1093C2×D8C22×D1711yescharacteristic
1094C2×M16—171no—
1095C2×M16—171no—
1096C2×M16—171no—
1097C2×M16—344no—
1098C2×M16C22×D1711yescharacteristic
1099C22×C8—171no—
1100C22×C8—171no—
1101C22×C8—171no—
1102C22×C8—171no—
1103C22×C8—171no—
1104C22×C8—171no—
1105C22×C8—171no—
1106C22×C8—344no—
1107C22×C8C22×D1711yescharacteristic
1108C4⋊Q8—171no—
1109C4⋊Q8—171no—
1110C4⋊Q8—171no—
1111C4⋊Q8—341no—
1112C4⋊Q8—341no—
1113C4⋊Q8C22×D1711yescharacteristic
1114#126—21no—
1115#126—341no—
1116#126—341no—
1117#126—341no—
1118#126—341no—
1119#126—341no—
1120#126—341no—
1121#126—341no—
1122#125—171no—
1123#125—171no—
1124#125—171no—
1125#125—341no—
1126#125—341no—
1127#125C22×D1711yescharacteristic
1128#124—21no—
1129#124—21no—
1130#124—341no—
1131#124—341no—
1132#124—341no—
1133#124—341no—
1134#124—341no—
1135#124—341no—
1136#124—341no—
1137#124—341no—
1138#124—341no—
1139#124—341no—
1140#124—341no—
1141#124—341no—
1142#124—341no—
1143#124—341no—
1144#123—21no—
1145#123—341no—
1146#123—341no—
1147#123—341no—
1148#123—341no—
1149#123—341no—
1150#123—341no—
1151#123—341no—
1152#121—21no—
1153#121—21no—
1154#121—171no—
1155#121—171no—
1156#121—171no—
1157#121—171no—
1158#121—171no—
1159#121—171no—
1160#121—171no—
1161#121—171no—
1162#121—171no—
1163#121—171no—
1164#121—171no—
1165#121—171no—
1166#121—341no—
1167#121—341no—
1168#121—341no—
1169#121—341no—
1170#121—341no—
1171#121—341no—
1172#121—341no—
1173#121—341no—
1174#121—341no—
1175#121—341no—
1176#121—341no—
1177#121—341no—
1178#121—341no—
1179#121—341no—
1180#121—341no—
1181#121—341no—
1182#121—341no—
1183#121—341no—
1184#121—341no—
1185#121—341no—
1186#121—341no—
1187#121—341no—
1188#121C22×D1711yescharacteristic
1189#121C22×D1711yescharacteristic
1190#121C22×D1711yescharacteristic
1191#121C22×D1711yescharacteristic
1192C4×D4—21no—
1193C4×D4—171no—
1194C4×D4—171no—
1195C4×D4—171no—
1196C4×D4—171no—
1197C4×D4—171no—
1198C4×D4—171no—
1199C4×D4—171no—
1200C4×D4—171no—
1201C4×D4—171no—
1202C4×D4—171no—
1203C4×D4—171no—
1204C4×D4—171no—
1205C4×D4—171no—
1206C4×D4—341no—
1207C4×D4—341no—
1208C4×D4—341no—
1209C4×D4—341no—
1210C4×D4—341no—
1211C4×D4—341no—
1212C4×D4—341no—
1213C4×D4—341no—
1214C4×D4—341no—
1215C4×D4—341no—
1216C4×D4—341no—
1217C4×D4C22×D1711yescharacteristic
1218C4×D4C22×D1711yescharacteristic
1219C4×D4C22×D1711yescharacteristic
1220#117—21no—
1221#117—171no—
1222#117—171no—
1223#117—171no—
1224#117—171no—
1225#117—171no—
1226#117—171no—
1227#117—171no—
1228#117—171no—
1229#117—171no—
1230#117—341no—
1231#117—341no—
1232#117—341no—
1233#117—341no—
1234#117—341no—
1235#117—341no—
1236#117—341no—
1237#117—341no—
1238#117—341no—
1239#117—341no—
1240#117—341no—
1241#117—341no—
1242#117—341no—
1243#117C22×D1711yescharacteristic
1244#117C22×D1711yescharacteristic
1245#117C22×D1711yescharacteristic
1246C2×C4⋊C4—171no—
1247C2×C4⋊C4—171no—
1248C2×C4⋊C4—171no—
1249C2×C4⋊C4—171no—
1250C2×C4⋊C4—171no—
1251C2×C4⋊C4—171no—
1252C2×C4⋊C4—171no—
1253C2×C4⋊C4—171no—
1254C2×C4⋊C4—171no—
1255C2×C4⋊C4—171no—
1256C2×C4⋊C4—341no—
1257C2×C4⋊C4—341no—
1258C2×C4⋊C4—341no—
1259C2×C4⋊C4—341no—
1260C2×C4⋊C4—341no—
1261C2×C4⋊C4—341no—
1262C2×C4⋊C4C22×D1711yescharacteristic
1263C2×C22⋊C4—171no—
1264C2×C22⋊C4—171no—
1265C2×C22⋊C4—341no—
1266C2×C22⋊C4—341no—
1267C2×C22⋊C4—341no—
1268C2×C22⋊C4—341no—
1269C2×C22⋊C4—341no—
1270C2×C22⋊C4—341no—
1271C2×C22⋊C4—341no—
1272C2×C22⋊C4—341no—
1273C2×C22⋊C4—341no—
1274C2×C42—171no—
1275C2×C42—341no—
1276C2×C42—341no—
1277C2×C42—341no—
1278#107—171no—
1279#107—171no—
1280#107—171no—
1281#107—171no—
1282#107—171no—
1283#107—171no—
1284#107—171no—
1285#107—171no—
1286#107—171no—
1287#107—171no—
1288#107—171no—
1289#107—171no—
1290#107—171no—
1291#107—171no—
1292#107—171no—
1293#107C22×D1711yescharacteristic
1294#107C22×D1711yescharacteristic
1295#107C22×D1711yescharacteristic
1296#107C22×D1711yescharacteristic
1297#107C22×D1711yescharacteristic
1298#106—171no—
1299#106—171no—
1300#106—171no—
1301#106—171no—
1302#106—171no—
1303#106—171no—
1304#106—171no—
1305#106—171no—
1306#106—171no—
1307#106—171no—
1308#106—171no—
1309#106—171no—
1310#106C22×D1711yescharacteristic
1311#106C22×D1711yescharacteristic
1312#106C22×D1711yescharacteristic
1313#106C22×D1711yescharacteristic
1314C4⋊C8—171no—
1315C4⋊C8—171no—
1316C4⋊C8—171no—
1317C4⋊C8C22×D1711yescharacteristic
1318#102—171no—
1319#102—171no—
1320#102—171no—
1321#102—171no—
1322#102—171no—
1323#102—171no—
1324#102—171no—
1325#102—171no—
1326#102—171no—
1327#102—171no—
1328#102—171no—
1329#102—171no—
1330#102—171no—
1331#102—171no—
1332#102—171no—
1333#102—171no—
1334#102—171no—
1335#102—171no—
1336#102C22×D1711yescharacteristic
1337#102C22×D1711yescharacteristic
1338#102C22×D1711yescharacteristic
1339#102C22×D1711yescharacteristic
1340#102C22×D1711yescharacteristic
1341#102C22×D1711yescharacteristic
1342C22⋊C8—171no—
1343C22⋊C8—171no—
1344C22⋊C8—171no—
1345C22⋊C8—171no—
1346C22⋊C8—171no—
1347C22⋊C8—171no—
1348C22⋊C8C22×D1711yescharacteristic
1349C22⋊C8C22×D1711yescharacteristic
1350#97—171no—
1351#97—171no—
1352#97—171no—
1353#97C22×D1711yescharacteristic
1354C17C2×#334711yescharacteristic, complemented, Sylow
1355C24—171no—
1356C24—171no—
1357C24—341no—
1358C24—341no—
1359C2×Q8—21no—
1360C2×Q8—341no—
1361C2×Q8—341no—
1362C2×Q8—341no—
1363C2×Q8—1362no—
1364C2×D4—21no—
1365C2×D4—21no—
1366C2×D4—21no—
1367C2×D4—21no—
1368C2×D4—171no—
1369C2×D4—171no—
1370C2×D4—171no—
1371C2×D4—171no—
1372C2×D4—171no—
1373C2×D4—341no—
1374C2×D4—341no—
1375C2×D4—341no—
1376C2×D4—341no—
1377C2×D4—342no—
1378C2×D4—342no—
1379C2×D4—342no—
1380C2×D4—342no—
1381C2×D4—341no—
1382C2×D4—341no—
1383C2×D4—341no—
1384C2×D4—341no—
1385C2×D4—341no—
1386C2×D4—341no—
1387C2×D4—341no—
1388C2×D4—341no—
1389C2×D4—341no—
1390C2×D4—341no—
1391C2×D4—682no—
1392C2×D4—684no—
1393C2×D4—1362no—
1394C2×D4—1362no—
1395C2×D4—1362no—
1396C2×D4D4×D1711yescharacteristic
1397C2×D4C23×D1711yescharacteristic
1398C2×D4C23×D1711yescharacteristic
1399C22×C4—21no—
1400C22×C4—21no—
1401C22×C4—21no—
1402C22×C4—171no—
1403C22×C4—171no—
1404C22×C4—171no—
1405C22×C4—171no—
1406C22×C4—171no—
1407C22×C4—171no—
1408C22×C4—171no—
1409C22×C4—171no—
1410C22×C4—171no—
1411C22×C4—171no—
1412C22×C4—171no—
1413C22×C4—342no—
1414C22×C4—342no—
1415C22×C4—342no—
1416C22×C4—342no—
1417C22×C4—341no—
1418C22×C4—341no—
1419C22×C4—341no—
1420C22×C4—341no—
1421C22×C4—341no—
1422C22×C4—341no—
1423C22×C4—341no—
1424C22×C4—341no—
1425C22×C4—341no—
1426C22×C4—341no—
1427C22×C4—341no—
1428C22×C4—341no—
1429C22×C4—341no—
1430C22×C4—341no—
1431C22×C4—341no—
1432C22×C4—684no—
1433C22×C4—1362no—
1434C22×C4—1362no—
1435C22×C4C23×D1711yescharacteristic
1436C22×C4C23×D1711yescharacteristic
1437D8—22no—
1438D8—342no—
1439D8—342no—
1440D8—342no—
1441M16—22no—
1442M16—342no—
1443M16—342no—
1444M16—342no—
1445C2×C8—22no—
1446C2×C8—171no—
1447C2×C8—174no—
1448C2×C8—171no—
1449C2×C8—171no—
1450C2×C8—171no—
1451C2×C8—342no—
1452C2×C8—342no—
1453C2×C8—342no—
1454C2×C8—342no—
1455C2×C8—342no—
1456C2×C8—342no—
1457C2×C8C23×D1711yescharacteristic
1458C2×C8C23×D1711yescharacteristic
1459C2×C8C23×D1711yescharacteristic
1460C2×C8C23×D1711yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—171no—
1466C4⋊C4—171no—
1467C4⋊C4—171no—
1468C4⋊C4—171no—
1469C4⋊C4—171no—
1470C4⋊C4—171no—
1471C4⋊C4—171no—
1472C4⋊C4—171no—
1473C4⋊C4—171no—
1474C4⋊C4—341no—
1475C4⋊C4—341no—
1476C4⋊C4—341no—
1477C4⋊C4—341no—
1478C4⋊C4—341no—
1479C4⋊C4—341no—
1480C4⋊C4—341no—
1481C4⋊C4—341no—
1482C4⋊C4—341no—
1483C4⋊C4—341no—
1484C4⋊C4—341no—
1485C4⋊C4—341no—
1486C4⋊C4—341no—
1487C4⋊C4—341no—
1488C4⋊C4—341no—
1489C4⋊C4—341no—
1490C4⋊C4—341no—
1491C4⋊C4—341no—
1492C4⋊C4D4×D1711yescharacteristic
1493C4⋊C4C23×D1711yescharacteristic
1494C4⋊C4C23×D1711yescharacteristic
1495C4⋊C4C23×D1711yescharacteristic
1496C4⋊C4C23×D1711yescharacteristic
1497C4⋊C4C23×D1711yescharacteristic
1498C4⋊C4C23×D1711yescharacteristic
1499C22⋊C4—21no—
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—171no—
1509C22⋊C4—171no—
1510C22⋊C4—171no—
1511C22⋊C4—171no—
1512C22⋊C4—171no—
1513C22⋊C4—171no—
1514C22⋊C4—341no—
1515C22⋊C4—341no—
1516C22⋊C4—341no—
1517C22⋊C4—341no—
1518C22⋊C4—341no—
1519C22⋊C4—341no—
1520C22⋊C4—341no—
1521C22⋊C4—341no—
1522C22⋊C4—341no—
1523C22⋊C4—341no—
1524C22⋊C4—341no—
1525C22⋊C4—341no—
1526C22⋊C4—341no—
1527C22⋊C4—341no—
1528C22⋊C4—341no—
1529C22⋊C4—341no—
1530C22⋊C4—341no—
1531C22⋊C4—341no—
1532C22⋊C4—341no—
1533C22⋊C4—341no—
1534C22⋊C4—341no—
1535C22⋊C4—341no—
1536C22⋊C4—341no—
1537C22⋊C4—341no—
1538C22⋊C4—341no—
1539C22⋊C4—341no—
1540C22⋊C4—341no—
1541C22⋊C4D4×D1711yescharacteristic
1542C22⋊C4D4×D1711yescharacteristic
1543C42—21no—
1544C42—21no—
1545C42—21no—
1546C42—171no—
1547C42—171no—
1548C42—171no—
1549C42—341no—
1550C42—341no—
1551C42—341no—
1552C42—341no—
1553C42—341no—
1554C42—341no—
1555C42—341no—
1556C42—341no—
1557C42—341no—
1558C42C23×D1711yescharacteristic
1559C23—21no—
1560C23—21no—
1561C23—171no—
1562C23—171no—
1563C23—171no—
1564C23—342no—
1565C23—342no—
1566C23—342no—
1567C23—342no—
1568C23—342no—
1569C23—342no—
1570C23—341no—
1571C23—341no—
1572C23—682no—
1573C23—682no—
1574C23—682no—
1575C23—682no—
1576C23—682no—
1577C23—682no—
1578C23C2×D4×D1711yescharacteristic
1579C23C2×D4×D1711yescharacteristic
1580Q8—81no—
1581Q8—1361no—
1582Q8—1361no—
1583Q8—1361no—
1584D4—21no—
1585D4—21no—
1586D4—21no—
1587D4—21no—
1588D4—41no—
1589D4—42no—
1590D4—81no—
1591D4—81no—
1592D4—81no—
1593D4—341no—
1594D4—341no—
1595D4—341no—
1596D4—341no—
1597D4—681no—
1598D4—682no—
1599D4—682no—
1600D4—682no—
1601D4—681no—
1602D4—681no—
1603D4—682no—
1604D4—682no—
1605D4—1361no—
1606D4—1361no—
1607D4—1361no—
1608D4—1361no—
1609D4—1361no—
1610D4—1361no—
1611D4—1361no—
1612D4—1361no—
1613D4—1361no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—42no—
1625C2×C4—81no—
1626C2×C4—81no—
1627C2×C4—171no—
1628C2×C4—172no—
1629C2×C4—172no—
1630C2×C4—171no—
1631C2×C4—171no—
1632C2×C4—171no—
1633C2×C4—171no—
1634C2×C4—342no—
1635C2×C4—342no—
1636C2×C4—342no—
1637C2×C4—342no—
1638C2×C4—342no—
1639C2×C4—342no—
1640C2×C4—342no—
1641C2×C4—342no—
1642C2×C4—341no—
1643C2×C4—341no—
1644C2×C4—341no—
1645C2×C4—341no—
1646C2×C4—341no—
1647C2×C4—341no—
1648C2×C4—341no—
1649C2×C4—341no—
1650C2×C4—341no—
1651C2×C4—341no—
1652C2×C4—682no—
1653C2×C4—682no—
1654C2×C4—682no—
1655C2×C4—682no—
1656C2×C4—682no—
1657C2×C4—682no—
1658C2×C4—682no—
1659C2×C4—682no—
1660C2×C4—682no—
1661C2×C4—1361no—
1662C2×C4—1361no—
1663C2×C4—1361no—
1664C2×C4—1361no—
1665C2×C4—1361no—
1666C2×C4—1361no—
1667C2×C4C2×D4×D1711yescharacteristic
1668C2×C4C2×D4×D1711yescharacteristic
1669C2×C4C2×D4×D1711yescharacteristic
1670C2×C4C2×D4×D1711yescharacteristic
1671C2×C4C24×D1711yescharacteristic
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—172no—
1676C8—341no—
1677C8—341no—
1678C8—341no—
1679C8#41×D1712yes—
1680C22—21no—
1681C22—21no—
1682C22—21no—
1683C22—21no—
1684C22—21no—
1685C22—21no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—172no—
1693C22—172no—
1694C22—172no—
1695C22—341no—
1696C22—341no—
1697C22—341no—
1698C22—341no—
1699C22—341no—
1700C22—341no—
1701C22—684no—
1702C22—684no—
1703C22—681no—
1704C22—681no—
1705C22—681no—
1706C22—681no—
1707C22—681no—
1708C22—681no—
1709C22—1364no—
1710C22—1364no—
1711C22C22×D4×D1711yescharacteristic
1712C4—21no—
1713C4—21no—
1714C4—21no—
1715C4—21no—
1716C4—41no—
1717C4—41no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—41no—
1722C4—172no—
1723C4—341no—
1724C4—341no—
1725C4—341no—
1726C4—341no—
1727C4—681no—
1728C4—681no—
1729C4—681no—
1730C4—681no—
1731C4—681no—
1732C4—681no—
1733C4C2×#41×D1711yescharacteristic
1734C42−1+4×D1711yescharacteristic
1735C2—41no—
1736C2—41no—
1737C2—81no—
1738C2—81no—
1739C2—174no—
1740C2—681no—
1741C2—681no—
1742C2—1361no—
1743C2—1361no—
1744C2D17×#54711yescharacteristic
1745C2D17×#57511yescharacteristic
1746C2D17×#57611yescharacteristic
subgroupG/H
centerC22C22×D4×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC17×#3347C2
socleC22×C17C23×D4
hypercenter#3347D17
hypocenterC17C2×#3347
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3347

Complements

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

NH ≅ G/Ntype
1. D17×#555C2semidirect
2. D17×#553C2semidirect
3. #14541291C2semidirect
4. #14541290C2semidirect
5. #14541289C2semidirect
6. #14541288C2semidirect
7. #14541287C2semidirect
8. #14541286C2semidirect
9. #14541285C2semidirect
10. #14541284C2semidirect
11. #14541283C2semidirect
12. #14541282C2semidirect
13. #14541281C2semidirect
14. #14541280C2semidirect
15. #14541279C2semidirect
16. #14541278C2semidirect
17. #14541277C2semidirect
18. D17×#501C2semidirect
19. D17×#482C2semidirect
20. D17×#482C2semidirect
21. D17×#482C2semidirect
22. D17×#480C2semidirect
23. D17×#478C2semidirect
24. D17×#474C2semidirect
25. D17×#469C2semidirect
26. D17×#466C2semidirect
27. D17×#442C2semidirect
28. D17×#435C2semidirect
29. D17×#428C2semidirect
30. D17×#427C2semidirect
31. C17×#3347C2semidirect
35. #11763525C22semidirect
36. #11763524C22semidirect
37. #11763524C22semidirect
39. #11763523C22semidirect
40. #11763523C22semidirect
42. #11763522C22semidirect
43. #11763522C22semidirect
46. #11763512C22semidirect
47. #11763511C22semidirect
49. #11763509C22semidirect
51. #11763507C22semidirect
52. #11763506C22semidirect
53. #11763505C22semidirect
55. #11763503C22semidirect
78. #11763219C22semidirect
79. #11763218C22semidirect
80. #11763217C22semidirect
81. #11763217C22semidirect
82. #11763216C22semidirect
83. #11763216C22semidirect
84. #11763215C22semidirect
85. #11763136C22semidirect
86. #11763136C22semidirect
87. #11763136C22semidirect
88. #11763135C22semidirect
89. #11763135C22semidirect
90. #11763135C22semidirect
91. #11763134C22semidirect
92. #11763134C22semidirect
93. #11763134C22semidirect
94. #11763133C22semidirect
95. #11763133C22semidirect
96. #11763133C22semidirect
97. #11763132C22semidirect
98. #11763132C22semidirect
99. #11763132C22semidirect
100. #11763131C22semidirect
101. #11763131C22semidirect
102. #11763131C22semidirect
103. #11763130C22semidirect
104. #11763130C22semidirect
105. #11763130C22semidirect
106. #11763124C22semidirect
107. #11763124C22semidirect
108. #11763123C22semidirect
109. #11763122C22semidirect
110. #11763121C22semidirect
111. #11763121C22semidirect
112. #11763120C22semidirect
113. #11763112C22semidirect
114. #11763111C22semidirect
115. #11763110C22semidirect
116. #11763109C22semidirect
117. #11763108C22semidirect
118. #11763107C22semidirect
119. #11763106C22semidirect
120. #11763090C22semidirect
121. #11763089C22semidirect
122. #11763088C22semidirect
123. #11763088C22semidirect
124. #11763087C22semidirect
125. #11763087C22semidirect
126. #11763086C22semidirect
127. #11763063C22semidirect
128. #11763062C22semidirect
129. #11763061C22semidirect
130. #11763061C22semidirect
131. #11763060C22semidirect
132. #11763060C22semidirect
133. #11763059C22semidirect
134. #11763046C22semidirect
135. #11763045C22semidirect
136. #11763044C22semidirect
137. #11763044C22semidirect
138. #11763043C22semidirect
139. #11763043C22semidirect
140. #11763042C22semidirect
141. #11762922C22semidirect
142. #11762921C22semidirect
143. #11762920C22semidirect
144. #11762919C22semidirect
145. #11762919C22semidirect
146. #11762918C22semidirect
147. #11762918C22semidirect
148. #11762883C22semidirect
149. #11762882C22semidirect
150. #11762881C22semidirect
151. #11762880C22semidirect
152. #11762879C22semidirect
153. #11762878C22semidirect
154. #11762877C22semidirect
155. #11762852C22semidirect
156. #11762851C22semidirect
157. #11762850C22semidirect
158. #11762850C22semidirect
159. #11762849C22semidirect
160. #11762848C22semidirect
161. #11762848C22semidirect
162. #11762847C22semidirect
163. #11762846C22semidirect
164. #11762846C22semidirect
165. #11762845C22semidirect
166. #11762845C22semidirect
167. #11762844C22semidirect
168. #11762844C22semidirect
188. C17×#555C22semidirect
189. C17×#553C22semidirect
190. C17×#501C22semidirect
191. C17×#482C22semidirect
192. C17×#482C22semidirect
193. C17×#482C22semidirect
194. C17×#480C22semidirect
195. C17×#478C22semidirect
196. C17×#474C22semidirect
197. C17×#469C22semidirect
198. C17×#466C22semidirect
199. C17×#442C22semidirect
200. C17×#435C22semidirect
201. C17×#428C22semidirect
202. C17×#427C22semidirect
824. #3347D17direct (N × H)
907. #555C2×D17semidirect
919. #553C2×D17semidirect
948. #501C2×D17semidirect
970. #482C2×D17semidirect
971. #482C2×D17semidirect
972. #482C2×D17semidirect
980. #480C2×D17semidirect
988. #478C2×D17semidirect
996. #474C2×D17semidirect
1004. #469C2×D17semidirect
1012. #466C2×D17semidirect
1020. #442C2×D17semidirect
1028. #435C2×D17semidirect
1036. #428C2×D17semidirect
1044. #427C2×D17semidirect
1075. D17#3347direct (N × H)
1354. C17C2×#3347semidirect

Maximal subgroups

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

subgroupindex
D17×#5552
D17×#5532
#145412912
#145412902
#145412892
#145412882
#145412872
#145412862
#145412852
#145412842
#145412832
#145412822
#145412812
#145412802
#145412792
#145412782
#145412772
D17×#5012
D17×#4822
D17×#4802
D17×#4782
D17×#4742
D17×#4692
D17×#4662
D17×#4422
D17×#4352
D17×#4282
D17×#4272
C17×#33472
C2×#334717