Finite Group Databasebeta

← D17×#3350 #17912959

Subgroups — D17×#3350 #17912959

Order 4352.

1898 conjugacy classes of subgroups.

The subgroup lattice has 1700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D17×#556C211yesmaximal, characteristic, complemented
2D17×#553C211yesmaximal, characteristic
3#14541336C211yesmaximal, characteristic, complemented
4#14541335C211yesmaximal, characteristic, complemented
5#14541334C211yesmaximal, characteristic, complemented
6#14541333C211yesmaximal, characteristic, complemented
7#14541332C211yesmaximal, characteristic, complemented
8#14541331C211yesmaximal, characteristic, complemented
9#14541330C211yesmaximal, characteristic, complemented
10#14541329C211yesmaximal, characteristic, complemented
11#14541328C211yesmaximal, characteristic, complemented
12#14541327C211yesmaximal, characteristic, complemented
13#14541326C211yesmaximal, characteristic, complemented
14#14541325C211yesmaximal, characteristic, complemented
15#14541324C211yesmaximal, characteristic, complemented
16#14541323C211yesmaximal, characteristic, complemented
17#14541322C211yesmaximal, characteristic, complemented
18D17×#501C211yesmaximal, characteristic, complemented
19D17×#485C211yesmaximal, characteristic, complemented
20D17×#482C211yesmaximal, characteristic, complemented
21D17×#482C211yesmaximal, characteristic, complemented
22D17×#483C211yesmaximal, characteristic, complemented
23D17×#479C211yesmaximal, characteristic, complemented
24D17×#476C211yesmaximal, characteristic, complemented
25D17×#468C211yesmaximal, characteristic, complemented
26D17×#465C211yesmaximal, characteristic, complemented
27D17×#440C211yesmaximal, characteristic, complemented
28D17×#435C211yesmaximal, characteristic, complemented
29D17×#428C211yesmaximal, characteristic, complemented
30D17×#427C211yesmaximal, characteristic, complemented
31C17×#3350C211yesmaximal, characteristic, complemented
32C2×SD16×D17C2211yescharacteristic
33C2×M16×D17C2211yescharacteristic
34C22×C8×D17C2211yescharacteristic
35#11763533C2211yescharacteristic, complemented
36#11763532C2211yescharacteristic, complemented
37#11763531—21no—
38#11763530C2211yescharacteristic, complemented
39#11763530C2211yescharacteristic, complemented
40#11763529C2211yescharacteristic, complemented
41#11763528—21no—
42#11763527C2211yescharacteristic, complemented
43#11763527C2211yescharacteristic, complemented
44#11763526—21no—
45#11763526—21no—
46#11763512C2211yescharacteristic
47#11763511C2211yescharacteristic
48#11763510—21no—
49#11763509C2211yescharacteristic
50#11763508—21no—
51#11763507C2211yescharacteristic
52#11763506C2211yescharacteristic
53#11763505C2211yescharacteristic
54#11763504—21no—
55#11763503C2211yescharacteristic
56#11763502—21no—
57C4⋊Q8×D17C2211yescharacteristic
58#126×D17—21no—
59#126×D17—21no—
60#126×D17—21no—
61#125×D17C2211yescharacteristic
62#124×D17—21no—
63#123×D17—21no—
64C22⋊Q8×D17C2211yescharacteristic
65C22⋊Q8×D17C2211yescharacteristic
66#121×D17—21no—
67#121×D17C2211yescharacteristic
68#121×D17C2211yescharacteristic
69C4×Q8×D17—21no—
70C4×Q8×D17C2211yescharacteristic
71C4×D4×D17—21no—
72C4×D4×D17C2211yescharacteristic
73C4×D4×D17C2211yescharacteristic
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#11763153C2211yescharacteristic, complemented
86#11763152C2211yescharacteristic, complemented
87#11763151C2211yescharacteristic, complemented
88#11763150C2211yescharacteristic, complemented
89#11763149C2211yescharacteristic, complemented
90#11763148C2211yescharacteristic, complemented
91#11763147C2211yescharacteristic, complemented
92#11763141C2211yescharacteristic, complemented
93#11763141C2211yescharacteristic, complemented
94#11763140C2211yescharacteristic, complemented
95#11763139C2211yescharacteristic, complemented
96#11763138C2211yescharacteristic, complemented
97#11763138C2211yescharacteristic, complemented
98#11763137C2211yescharacteristic, complemented
99#11763136C2211yescharacteristic, complemented
100#11763136C2211yescharacteristic, complemented
101#11763135C2211yescharacteristic, complemented
102#11763135C2211yescharacteristic, complemented
103#11763134C2211yescharacteristic, complemented
104#11763134C2211yescharacteristic, complemented
105#11763133C2211yescharacteristic, complemented
106#11763133C2211yescharacteristic, complemented
107#11763132C2211yescharacteristic, complemented
108#11763132C2211yescharacteristic, complemented
109#11763131C2211yescharacteristic, complemented
110#11763131C2211yescharacteristic, complemented
111#11763130C2211yescharacteristic, complemented
112#11763130C2211yescharacteristic, complemented
113#11763119C2211yescharacteristic, complemented
114#11763118C2211yescharacteristic, complemented
115#11763117C2211yescharacteristic, complemented
116#11763116C2211yescharacteristic, complemented
117#11763115C2211yescharacteristic, complemented
118#11763114C2211yescharacteristic, complemented
119#11763113C2211yescharacteristic, complemented
120#11763100C2211yescharacteristic, complemented
121#11763099C2211yescharacteristic, complemented
122#11763098C2211yescharacteristic, complemented
123#11763098C2211yescharacteristic, complemented
124#11763097C2211yescharacteristic, complemented
125#11763097C2211yescharacteristic, complemented
126#11763096C2211yescharacteristic, complemented
127#11763058C2211yescharacteristic, complemented
128#11763057C2211yescharacteristic, complemented
129#11763056C2211yescharacteristic, complemented
130#11763055C2211yescharacteristic, complemented
131#11763054C2211yescharacteristic, complemented
132#11763053C2211yescharacteristic, complemented
133#11763052C2211yescharacteristic, complemented
134#11763041C2211yescharacteristic, complemented
135#11763040C2211yescharacteristic, complemented
136#11763039C2211yescharacteristic, complemented
137#11763038C2211yescharacteristic, complemented
138#11763037C2211yescharacteristic, complemented
139#11763036C2211yescharacteristic, complemented
140#11763035C2211yescharacteristic, complemented
141#11762912C2211yescharacteristic, complemented
142#11762911C2211yescharacteristic, complemented
143#11762910C2211yescharacteristic, complemented
144#11762909C2211yescharacteristic, complemented
145#11762908C2211yescharacteristic, complemented
146#11762907C2211yescharacteristic, complemented
147#11762906C2211yescharacteristic, 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#106×D17C2211yescharacteristic
174#106×D17C2211yescharacteristic
175#106×D17C2211yescharacteristic
176#106×D17C2211yescharacteristic
177#106×D17C2211yescharacteristic
178C4⋊C8×D17C2211yescharacteristic
179#103×D17C2211yescharacteristic
180#103×D17C2211yescharacteristic
181#103×D17C2211yescharacteristic
182#102×D17C2211yescharacteristic
183#102×D17C2211yescharacteristic
184#102×D17C2211yescharacteristic
185C22⋊C8×D17C2211yescharacteristic
186C22⋊C8×D17C2211yescharacteristic
187#97×D17C2211yescharacteristic
188C17×#556C2211yescharacteristic, complemented
189C17×#553C2211yescharacteristic
190C17×#501C2211yescharacteristic, complemented
191C17×#485C2211yescharacteristic, complemented
192C17×#483C2211yescharacteristic, complemented
193C17×#482C2211yescharacteristic, complemented
194C17×#482C2211yescharacteristic, complemented
195C17×#479C2211yescharacteristic, complemented
196C17×#476C2211yescharacteristic, complemented
197C17×#468C2211yescharacteristic, complemented
198C17×#465C2211yescharacteristic, complemented
199C17×#440C2211yescharacteristic, complemented
200C17×#435C2211yescharacteristic, complemented
201C17×#428C2211yescharacteristic, complemented
202C17×#427C2211yescharacteristic, complemented
203C2×Q8×D17—21no—
204C2×Q8×D17C2311yescharacteristic
205C2×D4×D17—21no—
206C2×D4×D17—21no—
207C2×D4×D17D411yescharacteristic
208C2×D4×D17C2311yescharacteristic
209C22×C4×D17—21no—
210C22×C4×D17—21no—
211C22×C4×D17C2311yescharacteristic
212C22×C4×D17C2311yescharacteristic
213C2×SD16×C17C2311yescharacteristic
214C2×M16×C17C2311yescharacteristic
215C22×C8×C17C2311yescharacteristic
216C17×C4⋊Q8C2311yescharacteristic
217C17×#126—21no—
218C17×#126—21no—
219C17×#126—21no—
220C17×#125C2311yescharacteristic
221C17×#124—21no—
222C17×#123—21no—
223C17×C22⋊Q8C2311yescharacteristic
224C17×C22⋊Q8C2311yescharacteristic
225C17×#121—21no—
226C17×#121C2311yescharacteristic
227C17×#121C2311yescharacteristic
228C4×Q8×C17—21no—
229C4×Q8×C17C2311yescharacteristic
230C4×D4×C17—21no—
231C4×D4×C17C2311yescharacteristic
232C4×D4×C17C2311yescharacteristic
233C17×#117C2311yescharacteristic
234C17×#117C2311yescharacteristic
235C17×#117C2311yescharacteristic
236C2×C4⋊C4×C17C2311yescharacteristic
237#10587633—21no—
238#10587632C2311yescharacteristic
239#10587632C2311yescharacteristic
240Q8×Dic17—21no—
241Q8×Dic17C2311yescharacteristic
242#10587630—21no—
243C2×#63230C2311yescharacteristic
244#10587625—21no—
245#10587625—21no—
246#10587625—21no—
247#10587625—21no—
248#10587624—21no—
249#10587624C2311yescharacteristic
250#10587624C2311yescharacteristic
251#10587622—21no—
252#10587621—21no—
253D4×Dic17—21no—
254D4×Dic17D411yescharacteristic
255D4×Dic17C2311yescharacteristic
256C2×#63229C2311yescharacteristic
257#10587616—21no—
258#10587616C2311yescharacteristic
259#10587616C2311yescharacteristic
260#10587615—21no—
261C4×C22⋊D17—21no—
262C4×C22⋊D17—21no—
263C4×C22⋊D17—21no—
264C4×C22⋊D17C2311yescharacteristic
265C4×C22⋊D17C2311yescharacteristic
266#10587612C2311yescharacteristic
267#10587612C2311yescharacteristic
268#10587612C2311yescharacteristic
269C2×C4⋊Dic17C2311yescharacteristic
270#10587610C2311yescharacteristic
271#10587610C2311yescharacteristic
272C2×#63225—21no—
273C2×#63223C2311yescharacteristic
274C22×#3622C2311yescharacteristic
275SD16×D17—24no—
276M16×D17—24no—
277C2×#63219C2311yescharacteristic
278C2×#63218C2311yescharacteristic
279C2×#63218C2311yescharacteristic
280C2×C8×D17—24no—
281C2×C8×D17C2311yescharacteristic
282C2×C8×D17C2311yescharacteristic
283C2×C8×D17C2311yescharacteristic
284C2×C8×D17C2311yescharacteristic
285C2×C8×D17C2311yescharacteristic
286C2×C8×D17C2311yescharacteristic
287#10587584—21no—
288#10587584—21no—
289#10587584—21no—
290#10587584—21no—
291#10587584—21no—
292#10587584—21no—
293#10587584—21no—
294#10587584—21no—
295#10587584—21no—
296#10587583C2311yescharacteristic
297#10587583C2311yescharacteristic
298#10587582—21no—
299#10587582—21no—
300#10587581—21no—
301#10587581C2311yescharacteristic
302#10587581C2311yescharacteristic
303#10587580—21no—
304#10587580—21no—
305#10587579—21no—
306#10587579D411yescharacteristic
307#10587579C2311yescharacteristic
308#10587578C2311yescharacteristic
309#10587578C2311yescharacteristic
310#10587578C2311yescharacteristic
311#10587578C2311yescharacteristic
312#10587578C2311yescharacteristic
313#10587578C2311yescharacteristic
314C4⋊C4×D17—21no—
315C4⋊C4×D17—21no—
316C4⋊C4×D17—21no—
317C4⋊C4×D17—21no—
318C4⋊C4×D17—21no—
319C4⋊C4×D17—21no—
320C4⋊C4×D17—21no—
321C4⋊C4×D17—21no—
322C4⋊C4×D17D411yescharacteristic
323C4⋊C4×D17C2311yescharacteristic
324C4⋊C4×D17C2311yescharacteristic
325C4⋊C4×D17C2311yescharacteristic
326C4⋊C4×D17C2311yescharacteristic
327C4⋊C4×D17C2311yescharacteristic
328C4⋊C4×D17C2311yescharacteristic
329C4⋊C4×D17C2311yescharacteristic
330C4⋊C4×D17C2311yescharacteristic
331#10587576C2311yescharacteristic
332#10587576C2311yescharacteristic
333#10587575—21no—
334#10587575—21no—
335#10587574—21no—
336#10587574C2311yescharacteristic
337#10587574C2311yescharacteristic
338#10587573—21no—
339#10587573—21no—
340#10587573—21no—
341#10587573—21no—
342#10587573C2311yescharacteristic
343#10587572—21no—
344#10587571—21no—
345#10587571—21no—
346#10587571—21no—
347#10587571—21no—
348#10587570—21no—
349#10587570—21no—
350#10587570—21no—
351#10587570—21no—
352#10587569—21no—
353#10587569—21no—
354#10587567—21no—
355#10587567—21no—
356#10587567—21no—
357#10587567D411yescharacteristic
358#10587567D411yescharacteristic
359C22⋊C4×D17—21no—
360C22⋊C4×D17—21no—
361C22⋊C4×D17—21no—
362C22⋊C4×D17—21no—
363C22⋊C4×D17—21no—
364C22⋊C4×D17—21no—
365C22⋊C4×D17—21no—
366C22⋊C4×D17—21no—
367C22⋊C4×D17D411yescharacteristic
368C22⋊C4×D17D411yescharacteristic
369#10587565—21no—
370#10587565—21no—
371#10587565—21no—
372#10587565—21no—
373#10587565—21no—
374#10587565—21no—
375#10587565—21no—
376#10587565—21no—
377#10587565—21no—
378#10587564—21no—
379#10587564—21no—
380#10587563—21no—
381#10587563—21no—
382#10587563—21no—
383#10587562—21no—
384#10587562—21no—
385#10587562—21no—
386#10587561—21no—
387C4×D68—21no—
388C4×D68C2311yescharacteristic
389C4×D68C2311yescharacteristic
390#10587558—21no—
391#10587558—21no—
392#10587558—21no—
393C42×D17—21no—
394C42×D17—21no—
395C42×D17—21no—
396C42×D17—21no—
397C42×D17C2311yescharacteristic
398#10587556C2311yescharacteristic
399#10587555C2311yescharacteristic
400C4×Dic34—21no—
401C4×Dic34—21no—
402C4×Dic34—21no—
403C4×Dic34—21no—
404C4×Dic34C2311yescharacteristic
405C17×#107C2311yescharacteristic
406C17×#107C2311yescharacteristic
407C17×#107C2311yescharacteristic
408C17×#107C2311yescharacteristic
409C17×#106C2311yescharacteristic
410C17×#106C2311yescharacteristic
411C17×#106C2311yescharacteristic
412C17×#106C2311yescharacteristic
413C17×#106C2311yescharacteristic
414C17×C4⋊C8C2311yescharacteristic
415C17×#103C2311yescharacteristic
416C17×#103C2311yescharacteristic
417C17×#103C2311yescharacteristic
418C17×#102C2311yescharacteristic
419C17×#102C2311yescharacteristic
420C17×#102C2311yescharacteristic
421C17×C22⋊C8C2311yescharacteristic
422C17×C22⋊C8C2311yescharacteristic
423C17×#97C2311yescharacteristic
424#10587506C2311yescharacteristic
425#10587506C2311yescharacteristic
426#10587506C2311yescharacteristic
427#10587503C2311yescharacteristic
428#10587503C2311yescharacteristic
429#10587503C2311yescharacteristic
430C22⋊#3622C2311yescharacteristic
431C22⋊#3622C2311yescharacteristic
432#10587492C2311yescharacteristic
433#10587492C2311yescharacteristic
434#10587492C2311yescharacteristic
435#10587491C2311yescharacteristic
436#10587491C2311yescharacteristic
437#10587491C2311yescharacteristic
438#10587491C2311yescharacteristic
439#10587489C2311yescharacteristic
440#10587489C2311yescharacteristic
441#10587489C2311yescharacteristic
442#10587489C2311yescharacteristic
443#10587488C2311yescharacteristic
444#10587488C2311yescharacteristic
445#10587488C2311yescharacteristic
446#10587488C2311yescharacteristic
447#10587488C2311yescharacteristic
448#10587487C2311yescharacteristic
449#10587487C2311yescharacteristic
450#10587487C2311yescharacteristic
451#10587486C2311yescharacteristic
452#10587486C2311yescharacteristic
453#10587485C2311yescharacteristic
454#10587485C2311yescharacteristic
455#10587481C2311yescharacteristic
456#10587481C2311yescharacteristic
457#10587481C2311yescharacteristic
458#10587480C2311yescharacteristic
459#10587480C2311yescharacteristic
460#10587480C2311yescharacteristic
461#10587479C2311yescharacteristic
462#10587479C2311yescharacteristic
463#10587479C2311yescharacteristic
464#10587479C2311yescharacteristic
465#10587479C2311yescharacteristic
466#10587479C2311yescharacteristic
467#10587479C2311yescharacteristic
468#10587479C2311yescharacteristic
469#10587479C2311yescharacteristic
470#10587479C2311yescharacteristic
471#10587478C2311yescharacteristic
472#10587478C2311yescharacteristic
473#10587478C2311yescharacteristic
474#10587478C2311yescharacteristic
475#10587478C2311yescharacteristic
476#10587478C2311yescharacteristic
477#10587478C2311yescharacteristic
478#10587478C2311yescharacteristic
479C4⋊#3622C2311yescharacteristic
480#10587474C2311yescharacteristic
481C23×D17—21no—
482C23×D17C2×D411yescharacteristic
483C23×D17C2×D411yescharacteristic
484C2×Q8×C17—21no—
485C2×Q8×C17C2411yescharacteristic
486C2×D4×C17—21no—
487C2×D4×C17—21no—
488C2×D4×C17C2×D411yescharacteristic
489C2×D4×C17C2411yescharacteristic
490C22×C4×C17—21no—
491C22×C4×C17—21no—
492C22×C4×C17C2411yescharacteristic
493C22×C4×C17C2411yescharacteristic
494C2×C22⋊D17—21no—
495C2×C22⋊D17—21no—
496C2×C22⋊D17—21no—
497C2×C22⋊D17—21no—
498C2×C22⋊D17—21no—
499C2×C22⋊D17C2×D411yescharacteristic
500C2×C22⋊D17C2×D411yescharacteristic
501C22×Dic17—21no—
502C22×Dic17—21no—
503C22×Dic17C2×D411yescharacteristic
504C22×Dic17C2×D411yescharacteristic
505Q8×D17—22no—
506Q8×D17—22no—
507Q8×D17—44no—
508D4×D17—22no—
509D4×D17—22no—
510D4×D17—42no—
511D4×D17—44no—
512D4×D17—82no—
513C2×D68—21no—
514C2×D68—21no—
515C2×D68C2×D411yescharacteristic
516C2×D68C2411yescharacteristic
517C2×C4×D17—22no—
518C2×C4×D17—22no—
519C2×C4×D17—22no—
520C2×C4×D17—22no—
521C2×C4×D17—21no—
522C2×C4×D17—21no—
523C2×C4×D17—21no—
524C2×C4×D17—21no—
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—82no—
533C2×C4×D17—82no—
534C2×C4×D17C2×D411yescharacteristic
535C2×C4×D17C2×D411yescharacteristic
536C2×C4×D17C2×D411yescharacteristic
537C2×C4×D17C2×D411yescharacteristic
538C2×C4×D17C2×D411yescharacteristic
539C2×C4×D17C2×D411yescharacteristic
540C2×C4×D17C2411yescharacteristic
541C2×C4×D17C2411yescharacteristic
542C2×C4×D17C2411yescharacteristic
543C2×Dic34—21no—
544C2×Dic34—21no—
545C2×Dic34—21no—
546C2×Dic34—21no—
547C2×Dic34C2411yescharacteristic
548SD16×C17—22no—
549M16×C17—22no—
550C2×C8×C17—22no—
551C2×C8×C17C2411yescharacteristic
552C2×C8×C17C2411yescharacteristic
553C2×C8×C17C2411yescharacteristic
554C2×C8×C17C2411yescharacteristic
555C4⋊C4×C17—21no—
556C4⋊C4×C17—21no—
557C4⋊C4×C17—21no—
558C4⋊C4×C17—21no—
559C4⋊C4×C17—21no—
560C4⋊C4×C17—21no—
561C4⋊C4×C17—21no—
562C4⋊C4×C17C2×D411yescharacteristic
563C4⋊C4×C17C2411yescharacteristic
564C4⋊C4×C17C2411yescharacteristic
565C4⋊C4×C17C2411yescharacteristic
566C4⋊C4×C17C2411yescharacteristic
567C4⋊C4×C17C2411yescharacteristic
568C4⋊C4×C17C2411yescharacteristic
569C22⋊C4×C17—21no—
570C22⋊C4×C17—21no—
571C22⋊C4×C17—21no—
572C22⋊C4×C17—21no—
573C22⋊C4×C17—21no—
574C22⋊C4×C17—21no—
575C22⋊C4×C17—21no—
576C22⋊C4×C17—21no—
577C22⋊C4×C17C2×D411yescharacteristic
578C22⋊C4×C17C2×D411yescharacteristic
579C42×C17—21no—
580C42×C17—21no—
581C42×C17—21no—
582C42×C17—21no—
583C42×C17C2411yescharacteristic
584C22⋊Dic17—21no—
585C22⋊Dic17—21no—
586C22⋊Dic17—21no—
587C22⋊Dic17—21no—
588C22⋊Dic17—21no—
589C22⋊Dic17—21no—
590C22⋊Dic17—21no—
591C22⋊Dic17—21no—
592C22⋊Dic17C2×D411yescharacteristic
593C22⋊Dic17C2×D411yescharacteristic
594#63230—22no—
595#63229—22no—
596#63227—21no—
597#63227—21no—
598#63227—21no—
599#63227—21no—
600#63227—21no—
601#63227—21no—
602#63227—21no—
603#63227—21no—
604#63227—21no—
605#63227—21no—
606#63227—21no—
607#63227—21no—
608#63227—21no—
609#63227—21no—
610#63227—21no—
611#63227—21no—
612#63227C2×D411yescharacteristic
613#63227C2×D411yescharacteristic
614#63227C2×D411yescharacteristic
615#63227C2×D411yescharacteristic
616C4⋊Dic17—21no—
617C4⋊Dic17—21no—
618C4⋊Dic17—21no—
619C4⋊Dic17—21no—
620C4⋊Dic17—21no—
621C4⋊Dic17—21no—
622C4⋊Dic17—21no—
623C4⋊Dic17C2×D411yescharacteristic
624C4⋊Dic17C2411yescharacteristic
625C4⋊Dic17C2411yescharacteristic
626C4⋊Dic17C2411yescharacteristic
627C4⋊Dic17C2411yescharacteristic
628C4⋊Dic17C2411yescharacteristic
629C4⋊Dic17C2411yescharacteristic
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#63225—21no—
648#63225—21no—
649#63225—21no—
650#63225C2×D411yescharacteristic
651#63225C2×D411yescharacteristic
652C4×Dic17—21no—
653C4×Dic17—21no—
654C4×Dic17—21no—
655C4×Dic17—21no—
656C4×Dic17—21no—
657C4×Dic17—21no—
658C4×Dic17—21no—
659C4×Dic17—21no—
660C4×Dic17—21no—
661C4×Dic17—21no—
662C4×Dic17—21no—
663C4×Dic17—21no—
664C4×Dic17C2×D411yescharacteristic
665C4×Dic17C2×D411yescharacteristic
666C4×Dic17C2411yescharacteristic
667#63223—22no—
668C2×#3622—22no—
669C2×#3622C2411yescharacteristic
670C2×#3622C2411yescharacteristic
671C2×#3622C2411yescharacteristic
672C2×#3622C2411yescharacteristic
673#63219—22no—
674#63218—22no—
675#63218—22no—
676C8×D17—22no—
677C8×D17—22no—
678C8×D17—22no—
679C8×D17—22no—
680C8×D17—22no—
681C8×D17#4114yes—
682C2×#3350—171nomaximal, Sylow
683C23×C17—21no—
684C23×C17C22×D411yescharacteristic
685C23×C17C22×D411yescharacteristic
686C22×D17—22no—
687C22×D17—22no—
688C22×D17—22no—
689C22×D17—22no—
690C22×D17—22no—
691C22×D17—22no—
692C22×D17—21no—
693C22×D17—42no—
694C22×D17—42no—
695C22×D17—42no—
696C22×D17C22×D411yescharacteristic
697C22×D17C22×D411yescharacteristic
698C22×D17C22×D411yescharacteristic
699Q8×C17—21no—
700Q8×C17—21no—
701Q8×C17—42no—
702D4×C17—21no—
703D4×C17—21no—
704D4×C17—41no—
705D4×C17—42no—
706D4×C17—81no—
707C2×C4×C17—21no—
708C2×C4×C17—21no—
709C2×C4×C17—21no—
710C2×C4×C17—21no—
711C2×C4×C17—21no—
712C2×C4×C17—21no—
713C2×C4×C17—21no—
714C2×C4×C17—21no—
715C2×C4×C17—21no—
716C2×C4×C17—21no—
717C2×C4×C17—21no—
718C2×C4×C17—81no—
719C2×C4×C17—81no—
720C2×C4×C17C22×D411yescharacteristic
721C2×C4×C17C22×D411yescharacteristic
722C2×C4×C17C22×D411yescharacteristic
723C2×C4×C17C22×D411yescharacteristic
724C2×C4×C17C2511yescharacteristic
725C22⋊D17—41no—
726C22⋊D17—41no—
727C22⋊D17—42no—
728C22⋊D17—42no—
729C22⋊D17—42no—
730C22⋊D17—81no—
731C22⋊D17—81no—
732C2×Dic17—22no—
733C2×Dic17—22no—
734C2×Dic17—21no—
735C2×Dic17—21no—
736C2×Dic17—21no—
737C2×Dic17—21no—
738C2×Dic17—21no—
739C2×Dic17—21no—
740C2×Dic17—21no—
741C2×Dic17—81no—
742C2×Dic17—81no—
743C2×Dic17C22×D411yescharacteristic
744C2×Dic17C22×D411yescharacteristic
745C2×Dic17C22×D411yescharacteristic
746C2×Dic17C22×D411yescharacteristic
747C2×Dic17C22×D411yescharacteristic
748D68—21no—
749D68—21no—
750D68—41no—
751D68—42no—
752D68—81no—
753C4×D17—22no—
754C4×D17—22no—
755C4×D17—22no—
756C4×D17—22no—
757C4×D17—21no—
758C4×D17—21no—
759C4×D17—21no—
760C4×D17—21no—
761C4×D17—22no—
762C4×D17—22no—
763C4×D17—42no—
764C4×D17—42no—
765C4×D17—42no—
766C4×D17—42no—
767C4×D17—42no—
768C4×D17—42no—
769C4×D17—42no—
770C4×D17—81no—
771C4×D17—81no—
772C4×D17—81no—
773C4×D17—81no—
774C4×D17C2×#4112yes—
775C4×D172−1+412yes—
776Dic34—21no—
777Dic34—21no—
778Dic34—42no—
779Dic34—42no—
780Dic34—42no—
781Dic34—42no—
782C8×C17—21no—
783C8×C17—21no—
784C8×C17—21no—
785C8×C17C2×#4112yes—
786#3622—21no—
787#3622—21no—
788#3622—21no—
789#3622C2×#4112yes—
790C2×#556—171no—
791C2×#553—171no—
792#3350—171no—
793#3350—171no—
794#3350—171no—
795#3350—171no—
796#3350—171no—
797#3350—171no—
798#3350—171no—
799#3350—171no—
800#3350—171no—
801#3350—171no—
802#3350—171no—
803#3350—171no—
804#3350—171no—
805#3350—171no—
806#3350—171no—
807#3350D1711yescharacteristic, direct product factor
808C2×#501—171no—
809C2×#485—171no—
810C2×#482—171no—
811C2×#482—171no—
812C2×#483—171no—
813C2×#479—171no—
814C2×#476—171no—
815C2×#468—171no—
816C2×#465—171no—
817C2×#440—171no—
818C2×#435—171no—
819C2×#428—171no—
820C2×#427—171no—
821C22×C17—21no—
822C22×C17—21no—
823C22×C17—21no—
824C22×C17—21no—
825C22×C17—21no—
826C22×C17—21no—
827C22×C17—41no—
828C22×C17—41no—
829C22×C17—41no—
830C22×C17C23×D411yescharacteristic
831C2×D17—21no—
832C2×D17—21no—
833C2×D17—21no—
834C2×D17—21no—
835C2×D17—21no—
836C2×D17—21no—
837C2×D17—44no—
838C2×D17—44no—
839C2×D17—41no—
840C2×D17—41no—
841C2×D17—41no—
842C2×D17—84no—
843C2×D17#54712yes—
844C2×D17#57512yes—
845C2×D17#57712yes—
846C4×C17—21no—
847C4×C17—21no—
848C4×C17—21no—
849C4×C17—21no—
850C4×C17—41no—
851C4×C17—41no—
852C4×C17—41no—
853C4×C17—41no—
854C4×C17—41no—
855C4×C17—41no—
856C4×C17—41no—
857C4×C17C22×#4111yescharacteristic
858C4×C17C2×2−1+411yescharacteristic
859Dic17—21no—
860Dic17—21no—
861Dic17—21no—
862Dic17—21no—
863Dic17—41no—
864Dic17—41no—
865Dic17—41no—
866Dic17—41no—
867Dic17—41no—
868Dic17—41no—
869Dic17—41no—
870Dic17#54712yes—
871C22×SD16—171no—
872C22×M16—171no—
873C23×C8—171no—
874#556—171no—
875#556—171no—
876#556—171no—
877#556—171no—
878#556—171no—
879#556—171no—
880#556—171no—
881#556—341no—
882#556—341no—
883#556—341no—
884#556—341no—
885#556C2×D1711yescharacteristic, complemented
886#553—171no—
887#553—171no—
888#553—171no—
889#553—171no—
890#553—171no—
891#553—171no—
892#553—171no—
893#553—341no—
894#553—341no—
895#553—341no—
896#553—341no—
897#553C2×D1711yescharacteristic
898C2×C4⋊Q8—171no—
899C2×#126—341no—
900C2×#126—341no—
901C2×#126—341no—
902C2×#125—171no—
903C2×#124—341no—
904C2×#123—341no—
905C2×C22⋊Q8—171no—
906C2×C22⋊Q8—171no—
907C2×#121—171no—
908C2×#121—171no—
909C2×#121—341no—
910C2×C4×Q8—171no—
911C2×C4×Q8—341no—
912C2×C4×D4—171no—
913C2×C4×D4—171no—
914C2×C4×D4—341no—
915C2×#117—171no—
916C2×#117—171no—
917C2×#117—171no—
918C22×C4⋊C4—171no—
919#501—171no—
920#501—171no—
921#501—171no—
922#501—171no—
923#501—171no—
924#501—171no—
925#501—171no—
926#501C2×D1711yescharacteristic, complemented
927#485—171no—
928#485—171no—
929#485—171no—
930#485—171no—
931#485—171no—
932#485—171no—
933#485—171no—
934#485C2×D1711yescharacteristic, complemented
935#483—171no—
936#483—171no—
937#483—171no—
938#483—171no—
939#483—171no—
940#483—171no—
941#483—171no—
942#483C2×D1711yescharacteristic, complemented
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#482—171no—
955#482—171no—
956#482—171no—
957#482C2×D1711yescharacteristic, complemented
958#482C2×D1711yescharacteristic, complemented
959#479—171no—
960#479—171no—
961#479—171no—
962#479—171no—
963#479—171no—
964#479—171no—
965#479—171no—
966#479C2×D1711yescharacteristic, complemented
967#476—171no—
968#476—171no—
969#476—171no—
970#476—171no—
971#476—171no—
972#476—171no—
973#476—171no—
974#476C2×D1711yescharacteristic, complemented
975#468—171no—
976#468—171no—
977#468—171no—
978#468—171no—
979#468—171no—
980#468—171no—
981#468—171no—
982#468C2×D1711yescharacteristic, complemented
983#465—171no—
984#465—171no—
985#465—171no—
986#465—171no—
987#465—171no—
988#465—171no—
989#465—171no—
990#465C2×D1711yescharacteristic, complemented
991#440—171no—
992#440—171no—
993#440—171no—
994#440—171no—
995#440—171no—
996#440—171no—
997#440—171no—
998#440C2×D1711yescharacteristic, complemented
999#435—171no—
1000#435—171no—
1001#435—171no—
1002#435—171no—
1003#435—171no—
1004#435—171no—
1005#435—171no—
1006#435C2×D1711yescharacteristic, complemented
1007#428—171no—
1008#428—171no—
1009#428—171no—
1010#428—171no—
1011#428—171no—
1012#428—171no—
1013#428—171no—
1014#428C2×D1711yescharacteristic, complemented
1015#427—171no—
1016#427—171no—
1017#427—171no—
1018#427—171no—
1019#427—171no—
1020#427—171no—
1021#427—171no—
1022#427C2×D1711yescharacteristic, complemented
1023C2×#107—171no—
1024C2×#107—171no—
1025C2×#107—171no—
1026C2×#107—171no—
1027C2×#106—171no—
1028C2×#106—171no—
1029C2×#106—171no—
1030C2×#106—171no—
1031C2×#106—171no—
1032C2×C4⋊C8—171no—
1033C2×#103—171no—
1034C2×#103—171no—
1035C2×#103—171no—
1036C2×#102—171no—
1037C2×#102—171no—
1038C2×#102—171no—
1039C2×C22⋊C8—171no—
1040C2×C22⋊C8—171no—
1041C2×#97—171no—
1042C2×C17—41no—
1043C2×C17—41no—
1044C2×C17—81no—
1045C2×C17C2×#54711yescharacteristic
1046C2×C17C2×#57511yescharacteristic
1047C2×C17C2×#57711yescharacteristic
1048D17—41no—
1049D17—41no—
1050D17—81no—
1051D17#335014yesdirect product factor
1052C22×Q8—171no—
1053C22×Q8—341no—
1054C22×D4—171no—
1055C22×D4—171no—
1056C22×D4—341no—
1057C22×D4—341no—
1058C23×C4—171no—
1059C23×C4—171no—
1060C23×C4—341no—
1061C23×C4—341no—
1062C2×SD16—171no—
1063C2×SD16—171no—
1064C2×SD16—171no—
1065C2×SD16—344no—
1066C2×SD16C22×D1711yescharacteristic
1067C2×M16—171no—
1068C2×M16—171no—
1069C2×M16—171no—
1070C2×M16—344no—
1071C2×M16C22×D1711yescharacteristic
1072C22×C8—171no—
1073C22×C8—171no—
1074C22×C8—171no—
1075C22×C8—171no—
1076C22×C8—171no—
1077C22×C8—171no—
1078C22×C8—171no—
1079C22×C8—344no—
1080C22×C8C22×D1711yescharacteristic
1081C4⋊Q8—171no—
1082C4⋊Q8—171no—
1083C4⋊Q8—171no—
1084C4⋊Q8—341no—
1085C4⋊Q8—341no—
1086C4⋊Q8C22×D1711yescharacteristic
1087#126—21no—
1088#126—21no—
1089#126—21no—
1090#126—341no—
1091#126—341no—
1092#126—341no—
1093#126—341no—
1094#126—341no—
1095#126—341no—
1096#126—341no—
1097#126—341no—
1098#126—341no—
1099#126—341no—
1100#126—341no—
1101#126—341no—
1102#126—341no—
1103#126—341no—
1104#126—341no—
1105#126—341no—
1106#126—341no—
1107#126—341no—
1108#126—341no—
1109#126—341no—
1110#126—341no—
1111#125—171no—
1112#125—171no—
1113#125—171no—
1114#125—341no—
1115#125—341no—
1116#125C22×D1711yescharacteristic
1117#124—21no—
1118#124—341no—
1119#124—341no—
1120#124—341no—
1121#124—341no—
1122#124—341no—
1123#124—341no—
1124#124—341no—
1125#123—21no—
1126#123—341no—
1127#123—341no—
1128#123—341no—
1129#123—341no—
1130#123—341no—
1131#123—341no—
1132#123—341no—
1133C22⋊Q8—171no—
1134C22⋊Q8—171no—
1135C22⋊Q8—171no—
1136C22⋊Q8—171no—
1137C22⋊Q8—171no—
1138C22⋊Q8—171no—
1139C22⋊Q8—341no—
1140C22⋊Q8—341no—
1141C22⋊Q8—341no—
1142C22⋊Q8—341no—
1143C22⋊Q8C22×D1711yescharacteristic
1144C22⋊Q8C22×D1711yescharacteristic
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#121C22×D1711yescharacteristic
1164#121C22×D1711yescharacteristic
1165C4×Q8—21no—
1166C4×Q8—171no—
1167C4×Q8—171no—
1168C4×Q8—171no—
1169C4×Q8—341no—
1170C4×Q8—341no—
1171C4×Q8—341no—
1172C4×Q8—341no—
1173C4×Q8—341no—
1174C4×Q8—341no—
1175C4×Q8—341no—
1176C4×Q8—341no—
1177C4×Q8—341no—
1178C4×Q8C22×D1711yescharacteristic
1179C4×D4—21no—
1180C4×D4—171no—
1181C4×D4—171no—
1182C4×D4—171no—
1183C4×D4—171no—
1184C4×D4—171no—
1185C4×D4—171no—
1186C4×D4—171no—
1187C4×D4—171no—
1188C4×D4—171no—
1189C4×D4—171no—
1190C4×D4—341no—
1191C4×D4—341no—
1192C4×D4—341no—
1193C4×D4—341no—
1194C4×D4—341no—
1195C4×D4—341no—
1196C4×D4—341no—
1197C4×D4—341no—
1198C4×D4—341no—
1199C4×D4C22×D1711yescharacteristic
1200C4×D4C22×D1711yescharacteristic
1201#117—171no—
1202#117—171no—
1203#117—171no—
1204#117—171no—
1205#117—171no—
1206#117—171no—
1207#117—171no—
1208#117—171no—
1209#117—171no—
1210#117—341no—
1211#117—341no—
1212#117—341no—
1213#117—341no—
1214#117—341no—
1215#117—341no—
1216#117C22×D1711yescharacteristic
1217#117C22×D1711yescharacteristic
1218#117C22×D1711yescharacteristic
1219C2×C4⋊C4—171no—
1220C2×C4⋊C4—171no—
1221C2×C4⋊C4—171no—
1222C2×C4⋊C4—171no—
1223C2×C4⋊C4—171no—
1224C2×C4⋊C4—171no—
1225C2×C4⋊C4—171no—
1226C2×C4⋊C4—171no—
1227C2×C4⋊C4—171no—
1228C2×C4⋊C4—171no—
1229C2×C4⋊C4—341no—
1230C2×C4⋊C4—341no—
1231C2×C4⋊C4—341no—
1232C2×C4⋊C4—341no—
1233C2×C4⋊C4—341no—
1234C2×C4⋊C4—341no—
1235C2×C4⋊C4—341no—
1236C2×C4⋊C4—341no—
1237C2×C4⋊C4—341no—
1238C2×C4⋊C4C22×D1711yescharacteristic
1239C2×C22⋊C4—171no—
1240C2×C22⋊C4—171no—
1241C2×C22⋊C4—341no—
1242C2×C22⋊C4—341no—
1243C2×C22⋊C4—341no—
1244C2×C22⋊C4—341no—
1245C2×C22⋊C4—341no—
1246C2×C22⋊C4—341no—
1247C2×C22⋊C4—341no—
1248C2×C22⋊C4—341no—
1249C2×C42—171no—
1250C2×C42—341no—
1251C2×C42—341no—
1252C2×C42—341no—
1253C2×C42—341no—
1254#107—171no—
1255#107—171no—
1256#107—171no—
1257#107—171no—
1258#107—171no—
1259#107—171no—
1260#107—171no—
1261#107—171no—
1262#107—171no—
1263#107—171no—
1264#107—171no—
1265#107—171no—
1266#107C22×D1711yescharacteristic
1267#107C22×D1711yescharacteristic
1268#107C22×D1711yescharacteristic
1269#107C22×D1711yescharacteristic
1270#106—171no—
1271#106—171no—
1272#106—171no—
1273#106—171no—
1274#106—171no—
1275#106—171no—
1276#106—171no—
1277#106—171no—
1278#106—171no—
1279#106—171no—
1280#106—171no—
1281#106—171no—
1282#106—171no—
1283#106—171no—
1284#106—171no—
1285#106C22×D1711yescharacteristic
1286#106C22×D1711yescharacteristic
1287#106C22×D1711yescharacteristic
1288#106C22×D1711yescharacteristic
1289#106C22×D1711yescharacteristic
1290C4⋊C8—171no—
1291C4⋊C8—171no—
1292C4⋊C8—171no—
1293C4⋊C8C22×D1711yescharacteristic
1294#103—171no—
1295#103—171no—
1296#103—171no—
1297#103—171no—
1298#103—171no—
1299#103—171no—
1300#103—171no—
1301#103—171no—
1302#103—171no—
1303#103C22×D1711yescharacteristic
1304#103C22×D1711yescharacteristic
1305#103C22×D1711yescharacteristic
1306#102—171no—
1307#102—171no—
1308#102—171no—
1309#102—171no—
1310#102—171no—
1311#102—171no—
1312#102—171no—
1313#102—171no—
1314#102—171no—
1315#102C22×D1711yescharacteristic
1316#102C22×D1711yescharacteristic
1317#102C22×D1711yescharacteristic
1318C22⋊C8—171no—
1319C22⋊C8—171no—
1320C22⋊C8—171no—
1321C22⋊C8—171no—
1322C22⋊C8—171no—
1323C22⋊C8—171no—
1324C22⋊C8C22×D1711yescharacteristic
1325C22⋊C8C22×D1711yescharacteristic
1326#97—171no—
1327#97—171no—
1328#97—171no—
1329#97C22×D1711yescharacteristic
1330C17C2×#335011yescharacteristic, complemented, Sylow
1331C24—171no—
1332C24—171no—
1333C24—341no—
1334C2×Q8—21no—
1335C2×Q8—171no—
1336C2×Q8—341no—
1337C2×Q8—341no—
1338C2×Q8—341no—
1339C2×Q8—342no—
1340C2×Q8—342no—
1341C2×Q8—341no—
1342C2×Q8—684no—
1343C2×Q8C23×D1711yescharacteristic
1344C2×D4—21no—
1345C2×D4—21no—
1346C2×D4—171no—
1347C2×D4—171no—
1348C2×D4—171no—
1349C2×D4—171no—
1350C2×D4—341no—
1351C2×D4—341no—
1352C2×D4—342no—
1353C2×D4—342no—
1354C2×D4—341no—
1355C2×D4—341no—
1356C2×D4—341no—
1357C2×D4—341no—
1358C2×D4—341no—
1359C2×D4—682no—
1360C2×D4—684no—
1361C2×D4—1362no—
1362C2×D4D4×D1711yescharacteristic
1363C2×D4C23×D1711yescharacteristic
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—171no—
1376C22×C4—171no—
1377C22×C4—342no—
1378C22×C4—342no—
1379C22×C4—342no—
1380C22×C4—342no—
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—341no—
1393C22×C4—341no—
1394C22×C4—1362no—
1395C22×C4—1362no—
1396C22×C4C23×D1711yescharacteristic
1397C22×C4C23×D1711yescharacteristic
1398SD16—22no—
1399SD16—342no—
1400SD16—342no—
1401SD16—342no—
1402M16—22no—
1403M16—342no—
1404M16—342no—
1405M16—342no—
1406C2×C8—22no—
1407C2×C8—171no—
1408C2×C8—174no—
1409C2×C8—171no—
1410C2×C8—171no—
1411C2×C8—171no—
1412C2×C8—342no—
1413C2×C8—342no—
1414C2×C8—342no—
1415C2×C8—342no—
1416C2×C8—342no—
1417C2×C8—342no—
1418C2×C8C23×D1711yescharacteristic
1419C2×C8C23×D1711yescharacteristic
1420C2×C8C23×D1711yescharacteristic
1421C2×C8C23×D1711yescharacteristic
1422C4⋊C4—21no—
1423C4⋊C4—21no—
1424C4⋊C4—21no—
1425C4⋊C4—21no—
1426C4⋊C4—21no—
1427C4⋊C4—21no—
1428C4⋊C4—21no—
1429C4⋊C4—171no—
1430C4⋊C4—171no—
1431C4⋊C4—171no—
1432C4⋊C4—171no—
1433C4⋊C4—171no—
1434C4⋊C4—171no—
1435C4⋊C4—171no—
1436C4⋊C4—171no—
1437C4⋊C4—171no—
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⋊C4—341no—
1463C4⋊C4—341no—
1464C4⋊C4—341no—
1465C4⋊C4D4×D1711yescharacteristic
1466C4⋊C4C23×D1711yescharacteristic
1467C4⋊C4C23×D1711yescharacteristic
1468C4⋊C4C23×D1711yescharacteristic
1469C4⋊C4C23×D1711yescharacteristic
1470C4⋊C4C23×D1711yescharacteristic
1471C4⋊C4C23×D1711yescharacteristic
1472C22⋊C4—21no—
1473C22⋊C4—21no—
1474C22⋊C4—21no—
1475C22⋊C4—21no—
1476C22⋊C4—21no—
1477C22⋊C4—21no—
1478C22⋊C4—21no—
1479C22⋊C4—21no—
1480C22⋊C4—171no—
1481C22⋊C4—171no—
1482C22⋊C4—171no—
1483C22⋊C4—171no—
1484C22⋊C4—171no—
1485C22⋊C4—171no—
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⋊C4—341no—
1497C22⋊C4—341no—
1498C22⋊C4—341no—
1499C22⋊C4—341no—
1500C22⋊C4—341no—
1501C22⋊C4—341no—
1502C22⋊C4—341no—
1503C22⋊C4—341no—
1504C22⋊C4—341no—
1505C22⋊C4—341no—
1506C22⋊C4—341no—
1507C22⋊C4—341no—
1508C22⋊C4—341no—
1509C22⋊C4—341no—
1510C22⋊C4D4×D1711yescharacteristic
1511C22⋊C4D4×D1711yescharacteristic
1512C42—21no—
1513C42—21no—
1514C42—21no—
1515C42—21no—
1516C42—171no—
1517C42—171no—
1518C42—171no—
1519C42—341no—
1520C42—341no—
1521C42—341no—
1522C42—341no—
1523C42—341no—
1524C42—341no—
1525C42—341no—
1526C42—341no—
1527C42—341no—
1528C42—341no—
1529C42—341no—
1530C42—341no—
1531C42C23×D1711yescharacteristic
1532C23—21no—
1533C23—171no—
1534C23—171no—
1535C23—171no—
1536C23—342no—
1537C23—342no—
1538C23—342no—
1539C23—342no—
1540C23—342no—
1541C23—342no—
1542C23—341no—
1543C23—682no—
1544C23—682no—
1545C23—682no—
1546C23C2×D4×D1711yescharacteristic
1547C23C2×D4×D1711yescharacteristic
1548Q8—21no—
1549Q8—21no—
1550Q8—42no—
1551Q8—341no—
1552Q8—341no—
1553Q8—682no—
1554Q8—682no—
1555Q8—682no—
1556Q8—682no—
1557D4—21no—
1558D4—21no—
1559D4—41no—
1560D4—42no—
1561D4—81no—
1562D4—341no—
1563D4—341no—
1564D4—681no—
1565D4—682no—
1566D4—682no—
1567D4—681no—
1568D4—681no—
1569D4—682no—
1570D4—682no—
1571D4—1361no—
1572D4—1361no—
1573D4—1361no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—81no—
1586C2×C4—81no—
1587C2×C4—171no—
1588C2×C4—172no—
1589C2×C4—172no—
1590C2×C4—171no—
1591C2×C4—171no—
1592C2×C4—171no—
1593C2×C4—171no—
1594C2×C4—342no—
1595C2×C4—342no—
1596C2×C4—342no—
1597C2×C4—342no—
1598C2×C4—342no—
1599C2×C4—342no—
1600C2×C4—342no—
1601C2×C4—342no—
1602C2×C4—341no—
1603C2×C4—341no—
1604C2×C4—341no—
1605C2×C4—341no—
1606C2×C4—341no—
1607C2×C4—341no—
1608C2×C4—341no—
1609C2×C4—341no—
1610C2×C4—341no—
1611C2×C4—341no—
1612C2×C4—341no—
1613C2×C4—682no—
1614C2×C4—682no—
1615C2×C4—682no—
1616C2×C4—682no—
1617C2×C4—682no—
1618C2×C4—682no—
1619C2×C4—682no—
1620C2×C4—1361no—
1621C2×C4—1361no—
1622C2×C4—1361no—
1623C2×C4—1361no—
1624C2×C4—1361no—
1625C2×C4—1361no—
1626C2×C4C2×D4×D1711yescharacteristic
1627C2×C4C2×D4×D1711yescharacteristic
1628C2×C4C2×D4×D1711yescharacteristic
1629C2×C4C2×D4×D1711yescharacteristic
1630C2×C4C24×D1711yescharacteristic
1631C8—21no—
1632C8—21no—
1633C8—21no—
1634C8—172no—
1635C8—341no—
1636C8—341no—
1637C8—341no—
1638C8#41×D1712yes—
1639C22—21no—
1640C22—21no—
1641C22—21no—
1642C22—21no—
1643C22—21no—
1644C22—21no—
1645C22—41no—
1646C22—41no—
1647C22—41no—
1648C22—172no—
1649C22—172no—
1650C22—172no—
1651C22—341no—
1652C22—341no—
1653C22—341no—
1654C22—341no—
1655C22—341no—
1656C22—341no—
1657C22—684no—
1658C22—684no—
1659C22—681no—
1660C22—681no—
1661C22—681no—
1662C22—1364no—
1663C22C22×D4×D1711yescharacteristic
1664C4—21no—
1665C4—21no—
1666C4—21no—
1667C4—21no—
1668C4—41no—
1669C4—41no—
1670C4—41no—
1671C4—41no—
1672C4—41no—
1673C4—41no—
1674C4—41no—
1675C4—172no—
1676C4—341no—
1677C4—341no—
1678C4—341no—
1679C4—341no—
1680C4—681no—
1681C4—681no—
1682C4—681no—
1683C4—681no—
1684C4—681no—
1685C4—681no—
1686C4—681no—
1687C4C2×#41×D1711yescharacteristic
1688C42−1+4×D1711yescharacteristic
1689C2—41no—
1690C2—41no—
1691C2—81no—
1692C2—174no—
1693C2—681no—
1694C2—681no—
1695C2—1361no—
1696C2D17×#54711yescharacteristic
1697C2D17×#57511yescharacteristic
1698C2D17×#57711yescharacteristic
subgroupG/H
centerC22C22×D4×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC17×#3350C2
socleC22×C17C23×D4
prime radicalD17×#553C2
hypercenter#3350D17
hypocenterC17C2×#3350
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3350

Complements

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

NH ≅ G/Ntype
1. D17×#556C2semidirect
3. #14541336C2semidirect
4. #14541335C2semidirect
5. #14541334C2semidirect
6. #14541333C2semidirect
7. #14541332C2semidirect
8. #14541331C2semidirect
9. #14541330C2semidirect
10. #14541329C2semidirect
11. #14541328C2semidirect
12. #14541327C2semidirect
13. #14541326C2semidirect
14. #14541325C2semidirect
15. #14541324C2semidirect
16. #14541323C2semidirect
17. #14541322C2semidirect
18. D17×#501C2semidirect
19. D17×#485C2semidirect
20. D17×#482C2semidirect
21. D17×#482C2semidirect
22. D17×#483C2semidirect
23. D17×#479C2semidirect
24. D17×#476C2semidirect
25. D17×#468C2semidirect
26. D17×#465C2semidirect
27. D17×#440C2semidirect
28. D17×#435C2semidirect
29. D17×#428C2semidirect
30. D17×#427C2semidirect
31. C17×#3350C2semidirect
35. #11763533C22semidirect
36. #11763532C22semidirect
38. #11763530C22semidirect
39. #11763530C22semidirect
40. #11763529C22semidirect
42. #11763527C22semidirect
43. #11763527C22semidirect
78. #11763219C22semidirect
79. #11763218C22semidirect
80. #11763217C22semidirect
81. #11763217C22semidirect
82. #11763216C22semidirect
83. #11763216C22semidirect
84. #11763215C22semidirect
85. #11763153C22semidirect
86. #11763152C22semidirect
87. #11763151C22semidirect
88. #11763150C22semidirect
89. #11763149C22semidirect
90. #11763148C22semidirect
91. #11763147C22semidirect
92. #11763141C22semidirect
93. #11763141C22semidirect
94. #11763140C22semidirect
95. #11763139C22semidirect
96. #11763138C22semidirect
97. #11763138C22semidirect
98. #11763137C22semidirect
99. #11763136C22semidirect
100. #11763136C22semidirect
101. #11763135C22semidirect
102. #11763135C22semidirect
103. #11763134C22semidirect
104. #11763134C22semidirect
105. #11763133C22semidirect
106. #11763133C22semidirect
107. #11763132C22semidirect
108. #11763132C22semidirect
109. #11763131C22semidirect
110. #11763131C22semidirect
111. #11763130C22semidirect
112. #11763130C22semidirect
113. #11763119C22semidirect
114. #11763118C22semidirect
115. #11763117C22semidirect
116. #11763116C22semidirect
117. #11763115C22semidirect
118. #11763114C22semidirect
119. #11763113C22semidirect
120. #11763100C22semidirect
121. #11763099C22semidirect
122. #11763098C22semidirect
123. #11763098C22semidirect
124. #11763097C22semidirect
125. #11763097C22semidirect
126. #11763096C22semidirect
127. #11763058C22semidirect
128. #11763057C22semidirect
129. #11763056C22semidirect
130. #11763055C22semidirect
131. #11763054C22semidirect
132. #11763053C22semidirect
133. #11763052C22semidirect
134. #11763041C22semidirect
135. #11763040C22semidirect
136. #11763039C22semidirect
137. #11763038C22semidirect
138. #11763037C22semidirect
139. #11763036C22semidirect
140. #11763035C22semidirect
141. #11762912C22semidirect
142. #11762911C22semidirect
143. #11762910C22semidirect
144. #11762909C22semidirect
145. #11762908C22semidirect
146. #11762907C22semidirect
147. #11762906C22semidirect
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×#556C22semidirect
190. C17×#501C22semidirect
191. C17×#485C22semidirect
192. C17×#483C22semidirect
193. C17×#482C22semidirect
194. C17×#482C22semidirect
195. C17×#479C22semidirect
196. C17×#476C22semidirect
197. C17×#468C22semidirect
198. C17×#465C22semidirect
199. C17×#440C22semidirect
200. C17×#435C22semidirect
201. C17×#428C22semidirect
202. C17×#427C22semidirect
807. #3350D17direct (N × H)
885. #556C2×D17semidirect
926. #501C2×D17semidirect
934. #485C2×D17semidirect
942. #483C2×D17semidirect
957. #482C2×D17semidirect
958. #482C2×D17semidirect
966. #479C2×D17semidirect
974. #476C2×D17semidirect
982. #468C2×D17semidirect
990. #465C2×D17semidirect
998. #440C2×D17semidirect
1006. #435C2×D17semidirect
1014. #428C2×D17semidirect
1022. #427C2×D17semidirect
1051. D17#3350direct (N × H)
1330. C17C2×#3350semidirect

Maximal subgroups

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

subgroupindex
D17×#5562
D17×#5532
#145413362
#145413352
#145413342
#145413332
#145413322
#145413312
#145413302
#145413292
#145413282
#145413272
#145413262
#145413252
#145413242
#145413232
#145413222
D17×#5012
D17×#4852
D17×#4822
D17×#4832
D17×#4792
D17×#4762
D17×#4682
D17×#4652
D17×#4402
D17×#4352
D17×#4282
D17×#4272
C17×#33502
C2×#335017