Finite Group Databasebeta

← D17×#3319 #17911002

Subgroups — D17×#3319 #17911002

Order 4352.

2318 conjugacy classes of subgroups.

The subgroup lattice has 1912 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D17×#555C211yesmaximal, characteristic, complemented
2D17×#546C211yesmaximal, characteristic, complemented
3#14540947C211yesmaximal, characteristic, complemented
4#14540946C211yesmaximal, characteristic, complemented
5#14540945C211yesmaximal, characteristic, complemented
6#14540944C211yesmaximal, characteristic, complemented
7#14540943C211yesmaximal, characteristic, complemented
8#14540942C211yesmaximal, characteristic, complemented
9#14540941C211yesmaximal, characteristic, complemented
10#14540940C211yesmaximal, characteristic, complemented
11#14540939C211yesmaximal, characteristic, complemented
12#14540938C211yesmaximal, characteristic, complemented
13#14540937C211yesmaximal, characteristic, complemented
14#14540936C211yesmaximal, characteristic, complemented
15#14540935C211yesmaximal, characteristic, complemented
16#14540934C211yesmaximal, characteristic, complemented
17#14540933C211yesmaximal, characteristic, complemented
18D17×#489C211yesmaximal, characteristic, complemented
19D17×#485C211yesmaximal, characteristic, complemented
20D17×#482C211yesmaximal, characteristic, complemented
21D17×#474C211yesmaximal, characteristic, complemented
22D17×#468C211yesmaximal, characteristic, complemented
23D17×#466C211yesmaximal, characteristic, complemented
24D17×#463C211yesmaximal, characteristic, complemented
25D17×#449C211yesmaximal, characteristic, complemented
26D17×#447C211yesmaximal, characteristic, complemented
27D17×#442C211yesmaximal, characteristic, complemented
28D17×#435C211yesmaximal, characteristic, complemented
29D17×#418C211yesmaximal, characteristic, complemented
30D17×#416C211yesmaximal, characteristic, complemented
31C17×#3319C211yesmaximal, characteristic, complemented
32C2×#41×D17C2211yescharacteristic
33C22×D4×D17C2211yescharacteristic
34C2×SD16×D17C2211yescharacteristic, complemented
35C2×D8×D17C2211yescharacteristic
36C2×D8×D17C2211yescharacteristic
37C2×M16×D17C2211yescharacteristic
38C22×C8×D17C2211yescharacteristic, complemented
39#11763525C2211yescharacteristic, complemented
40#11763524C2211yescharacteristic, complemented
41#11763524C2211yescharacteristic, complemented
42#11763523—21no—
43#11763523C2211yescharacteristic, complemented
44#11763523C2211yescharacteristic, complemented
45#11763522—21no—
46#11763522C2211yescharacteristic, complemented
47#11763522C2211yescharacteristic, complemented
48#11763521—21no—
49#11763521—21no—
50#11763456C2211yescharacteristic, complemented
51#11763455C2211yescharacteristic, complemented
52#11763454C2211yescharacteristic, complemented
53#11763453C2211yescharacteristic, complemented
54#11763452C2211yescharacteristic, complemented
55#11763451—21no—
56#11763450C2211yescharacteristic, complemented
57#11763449—21no—
58#11763448—21no—
59#11763447C2211yescharacteristic, complemented
60#11763446—21no—
61C4⋊Q8×D17C2211yescharacteristic, complemented
62#124×D17—21no—
63#124×D17—21no—
64#124×D17C2211yescharacteristic
65#123×D17—21no—
66C22⋊Q8×D17C2211yescharacteristic
67#121×D17—21no—
68#121×D17—21no—
69#121×D17C2211yescharacteristic
70#121×D17C2211yescharacteristic
71#121×D17C2211yescharacteristic, complemented
72#120×D17—21no—
73C4×D4×D17C2211yescharacteristic
74C4×D4×D17C2211yescharacteristic
75C4×D4×D17C2211yescharacteristic, complemented
76#117×D17—21no—
77#117×D17C2211yescharacteristic
78#117×D17C2211yescharacteristic, complemented
79C2×C22⋊C4×D17—21no—
80#11763171C2211yescharacteristic, complemented
81#11763170C2211yescharacteristic, complemented
82#11763170C2211yescharacteristic, complemented
83#11763169C2211yescharacteristic, complemented
84#11763168C2211yescharacteristic, complemented
85#11763167C2211yescharacteristic, complemented
86#11763167C2211yescharacteristic, complemented
87#11763153C2211yescharacteristic, complemented
88#11763152C2211yescharacteristic, complemented
89#11763151C2211yescharacteristic, complemented
90#11763150C2211yescharacteristic, complemented
91#11763149C2211yescharacteristic, complemented
92#11763148C2211yescharacteristic, complemented
93#11763147C2211yescharacteristic, complemented
94#11763136C2211yescharacteristic, complemented
95#11763135C2211yescharacteristic, complemented
96#11763134C2211yescharacteristic, complemented
97#11763133C2211yescharacteristic, complemented
98#11763132C2211yescharacteristic, complemented
99#11763131C2211yescharacteristic, complemented
100#11763130C2211yescharacteristic, complemented
101#11763090C2211yescharacteristic, complemented
102#11763089C2211yescharacteristic, complemented
103#11763088C2211yescharacteristic, complemented
104#11763088C2211yescharacteristic, complemented
105#11763087C2211yescharacteristic, complemented
106#11763087C2211yescharacteristic, complemented
107#11763086C2211yescharacteristic, complemented
108#11763058C2211yescharacteristic, complemented
109#11763057C2211yescharacteristic, complemented
110#11763056C2211yescharacteristic, complemented
111#11763055C2211yescharacteristic, complemented
112#11763054C2211yescharacteristic, complemented
113#11763053C2211yescharacteristic, complemented
114#11763052C2211yescharacteristic, complemented
115#11763046C2211yescharacteristic, complemented
116#11763045C2211yescharacteristic, complemented
117#11763044C2211yescharacteristic, complemented
118#11763044C2211yescharacteristic, complemented
119#11763043C2211yescharacteristic, complemented
120#11763043C2211yescharacteristic, complemented
121#11763042C2211yescharacteristic, complemented
122#11763027C2211yescharacteristic, complemented
123#11763026C2211yescharacteristic, complemented
124#11763025C2211yescharacteristic, complemented
125#11763024C2211yescharacteristic, complemented
126#11763023C2211yescharacteristic, complemented
127#11763022C2211yescharacteristic, complemented
128#11763021C2211yescharacteristic, complemented
129#11762957C2211yescharacteristic, complemented
130#11762956C2211yescharacteristic, complemented
131#11762955C2211yescharacteristic, complemented
132#11762954C2211yescharacteristic, complemented
133#11762953C2211yescharacteristic, complemented
134#11762952C2211yescharacteristic, complemented
135#11762951C2211yescharacteristic, complemented
136#11762945C2211yescharacteristic, complemented
137#11762944C2211yescharacteristic, complemented
138#11762944C2211yescharacteristic, complemented
139#11762943C2211yescharacteristic, complemented
140#11762942C2211yescharacteristic, complemented
141#11762941C2211yescharacteristic, complemented
142#11762941C2211yescharacteristic, complemented
143#11762922C2211yescharacteristic, complemented
144#11762921C2211yescharacteristic, complemented
145#11762920C2211yescharacteristic, complemented
146#11762919C2211yescharacteristic, complemented
147#11762919C2211yescharacteristic, complemented
148#11762918C2211yescharacteristic, complemented
149#11762918C2211yescharacteristic, complemented
150#11762883C2211yescharacteristic, complemented
151#11762882C2211yescharacteristic, complemented
152#11762881C2211yescharacteristic, complemented
153#11762880C2211yescharacteristic, complemented
154#11762879C2211yescharacteristic, complemented
155#11762878C2211yescharacteristic, complemented
156#11762877C2211yescharacteristic, complemented
157#107×D17C2211yescharacteristic, complemented
158#107×D17C2211yescharacteristic, complemented
159#106×D17C2211yescharacteristic, complemented
160C4⋊C8×D17C2211yescharacteristic, complemented
161#11762815C2211yescharacteristic, complemented
162#11762814C2211yescharacteristic, complemented
163#11762813C2211yescharacteristic, complemented
164#11762812C2211yescharacteristic, complemented
165#11762812C2211yescharacteristic, complemented
166#11762812C2211yescharacteristic, complemented
167#11762812C2211yescharacteristic, complemented
168#11762806C2211yescharacteristic, complemented
169#11762805C2211yescharacteristic, complemented
170#11762804C2211yescharacteristic, complemented
171#11762804C2211yescharacteristic, complemented
172#11762803C2211yescharacteristic, complemented
173#11762802C2211yescharacteristic, complemented
174#11762802C2211yescharacteristic, complemented
175#103×D17C2211yescharacteristic, complemented
176#103×D17C2211yescharacteristic, complemented
177#103×D17C2211yescharacteristic, complemented
178#102×D17C2211yescharacteristic
179#102×D17C2211yescharacteristic
180#102×D17C2211yescharacteristic
181#102×D17C2211yescharacteristic
182#102×D17C2211yescharacteristic
183#102×D17C2211yescharacteristic
184#102×D17C2211yescharacteristic, complemented
185C22⋊C8×D17C2211yescharacteristic
186C22⋊C8×D17C2211yescharacteristic, complemented
187#97×D17C2211yescharacteristic, complemented
188C17×#555C2211yescharacteristic, complemented
189C17×#546C2211yescharacteristic, complemented
190C17×#489C2211yescharacteristic, complemented
191C17×#485C2211yescharacteristic, complemented
192C17×#482C2211yescharacteristic, complemented
193C17×#474C2211yescharacteristic, complemented
194C17×#468C2211yescharacteristic, complemented
195C17×#466C2211yescharacteristic, complemented
196C17×#463C2211yescharacteristic, complemented
197C17×#449C2211yescharacteristic, complemented
198C17×#447C2211yescharacteristic, complemented
199C17×#442C2211yescharacteristic, complemented
200C17×#435C2211yescharacteristic, complemented
201C17×#418C2211yescharacteristic, complemented
202C17×#416C2211yescharacteristic, complemented
203C24×D17—21no—
204C2×#41×C17C2311yescharacteristic
205C22×D4×C17C2311yescharacteristic
206C22×C22⋊D17—21no—
207#41×D17—24no—
208#41×D17—42no—
209C2×#63256C2311yescharacteristic
210C2×Q8×D17—21no—
211C2×Q8×D17C2311yescharacteristic
212C2×#63254—21no—
213C2×#63254C2311yescharacteristic
214C2×D4×D17—24no—
215C2×D4×D17—21no—
216C2×D4×D17—21no—
217C2×D4×D17—21no—
218C2×D4×D17—21no—
219C2×D4×D17—21no—
220C2×D4×D17—21no—
221C2×D4×D17—42no—
222C2×D4×D17D411yescharacteristic
223C2×D4×D17C2311yescharacteristic
224C2×D4×D17C2311yescharacteristic
225C2×D4×D17C2311yescharacteristic
226C2×D4×D17C2311yescharacteristic
227C2×D4×D17C2311yescharacteristic
228C2×#63252—21no—
229C2×#63252C2311yescharacteristic
230C22×D68C2311yescharacteristic
231C22×C4×D17—21no—
232C22×C4×D17—21no—
233C22×C4×D17—21no—
234C22×C4×D17C2311yescharacteristic
235C22×C4×D17C2311yescharacteristic
236C2×SD16×C17C2311yescharacteristic, complemented
237C2×D8×C17C2311yescharacteristic
238C2×D8×C17C2311yescharacteristic
239C2×M16×C17C2311yescharacteristic
240C22×C8×C17C2311yescharacteristic, complemented
241C17×C4⋊Q8C2311yescharacteristic, complemented
242C17×#124—21no—
243C17×#124—21no—
244C17×#124C2311yescharacteristic
245C17×#123—21no—
246C17×C22⋊Q8C2311yescharacteristic
247C17×#121—21no—
248C17×#121—21no—
249C17×#121C2311yescharacteristic
250C17×#121C2311yescharacteristic
251C17×#121C2311yescharacteristic, complemented
252C17×#120—21no—
253C4×D4×C17C2311yescharacteristic
254C4×D4×C17C2311yescharacteristic
255C4×D4×C17C2311yescharacteristic, complemented
256C17×#117—21no—
257C17×#117C2311yescharacteristic
258C17×#117C2311yescharacteristic, complemented
259C2×C22⋊C4×C17—21no—
260#10587639—21no—
261C2×C22⋊Dic17—21no—
262#10587633—21no—
263#10587633—21no—
264#10587633C2311yescharacteristic
265#10587632C2311yescharacteristic
266#10587630—21no—
267C2×#63230C2311yescharacteristic, complemented
268#10587625—21no—
269#10587625—21no—
270#10587625—21no—
271#10587625—21no—
272#10587625—21no—
273#10587625—21no—
274#10587625—21no—
275#10587624—21no—
276#10587624—21no—
277#10587624C2311yescharacteristic
278#10587624C2311yescharacteristic
279#10587624C2311yescharacteristic, complemented
280#10587623—21no—
281#10587623—21no—
282#10587623—21no—
283#10587622—21no—
284#10587622—21no—
285#10587622C2311yescharacteristic
286#10587621—21no—
287D4×Dic17D411yescharacteristic
288D4×Dic17C2311yescharacteristic
289D4×Dic17C2311yescharacteristic, complemented
290C2×#63229C2311yescharacteristic, complemented
291C2×#63228C2311yescharacteristic
292C2×#63228C2311yescharacteristic
293C2×#63228C2311yescharacteristic
294C2×#63228C2311yescharacteristic
295#10587616—21no—
296#10587616—21no—
297#10587616C2311yescharacteristic
298#10587616C2311yescharacteristic
299#10587616C2311yescharacteristic, complemented
300#10587615—21no—
301C4×C22⋊D17—21no—
302C4×C22⋊D17—21no—
303C4×C22⋊D17C2311yescharacteristic
304C4×C22⋊D17C2311yescharacteristic
305C2×#63227—21no—
306C2×#63227—21no—
307#10587612—21no—
308#10587612C2311yescharacteristic
309#10587612C2311yescharacteristic, complemented
310#10587610C2311yescharacteristic
311C2×#63223C2311yescharacteristic
312C22×#3622C2311yescharacteristic, complemented
313SD16×D17—42no—
314D8×D17—24no—
315D8×D17—42no—
316M16×D17—42no—
317C2×D136C2311yescharacteristic
318C2×D136C2311yescharacteristic
319C2×#63219C2311yescharacteristic, complemented
320C2×#63218C2311yescharacteristic
321C2×#63218C2311yescharacteristic
322C2×C8×D17—42no—
323C2×C8×D17C2311yescharacteristic
324C2×C8×D17C2311yescharacteristic
325C2×C8×D17C2311yescharacteristic
326C2×C8×D17C2311yescharacteristic
327C2×C8×D17C2311yescharacteristic, complemented
328C2×C8×D17C2311yescharacteristic, complemented
329#10587583C2311yescharacteristic
330#10587582—21no—
331#10587581—21no—
332#10587581—21no—
333#10587581C2311yescharacteristic
334#10587581C2311yescharacteristic
335#10587581C2311yescharacteristic, complemented
336#10587580—21no—
337#10587580—21no—
338#10587579D411yescharacteristic
339#10587579C2311yescharacteristic
340#10587579C2311yescharacteristic, complemented
341#10587578—21no—
342#10587578—21no—
343#10587578C2311yescharacteristic
344#10587578C2311yescharacteristic
345#10587578C2311yescharacteristic, complemented
346#10587578C2311yescharacteristic, complemented
347C4⋊C4×D17—21no—
348C4⋊C4×D17—21no—
349C4⋊C4×D17D411yescharacteristic
350C4⋊C4×D17C2311yescharacteristic
351C4⋊C4×D17C2311yescharacteristic
352C4⋊C4×D17C2311yescharacteristic
353C4⋊C4×D17C2311yescharacteristic
354#10587574—21no—
355#10587574C2311yescharacteristic, complemented
356#10587574C2311yescharacteristic, complemented
357#10587572—21no—
358#10587571—21no—
359#10587571—21no—
360#10587571—21no—
361#10587571—21no—
362#10587571—21no—
363#10587571—21no—
364#10587571—21no—
365#10587571—21no—
366#10587571—21no—
367#10587571—21no—
368#10587570—21no—
369#10587570—21no—
370#10587570—21no—
371#10587570—21no—
372#10587570—21no—
373#10587570—21no—
374#10587570—21no—
375#10587569—21no—
376#10587569—21no—
377#10587568—21no—
378#10587568—21no—
379#10587568—21no—
380#10587567—21no—
381#10587567—21no—
382#10587567D411yescharacteristic
383#10587567D411yescharacteristic
384C22⋊C4×D17—21no—
385C22⋊C4×D17—21no—
386C22⋊C4×D17—21no—
387C22⋊C4×D17—21no—
388C22⋊C4×D17—21no—
389C22⋊C4×D17—21no—
390C22⋊C4×D17—21no—
391C22⋊C4×D17—21no—
392C22⋊C4×D17—21no—
393C22⋊C4×D17—21no—
394C22⋊C4×D17—21no—
395C22⋊C4×D17—21no—
396C22⋊C4×D17—21no—
397C22⋊C4×D17—21no—
398C22⋊C4×D17D411yescharacteristic
399C22⋊C4×D17D411yescharacteristic
400#10587564—21no—
401#10587563—21no—
402#10587563—21no—
403#10587563—21no—
404#10587563—21no—
405#10587561—21no—
406#10587561—21no—
407#10587561C2311yescharacteristic
408C4×D68C2311yescharacteristic
409C4×D68C2311yescharacteristic
410C4×D68C2311yescharacteristic, complemented
411#10587558—21no—
412#10587558—21no—
413#10587558—21no—
414#10587558—21no—
415C42×D17—21no—
416C42×D17—21no—
417C42×D17C2311yescharacteristic
418#10587555C2311yescharacteristic, complemented
419C17×#107C2311yescharacteristic, complemented
420C17×#107C2311yescharacteristic, complemented
421C17×#106C2311yescharacteristic, complemented
422C17×C4⋊C8C2311yescharacteristic, complemented
423C17×#103C2311yescharacteristic, complemented
424C17×#103C2311yescharacteristic, complemented
425C17×#103C2311yescharacteristic, complemented
426C17×#102C2311yescharacteristic
427C17×#102C2311yescharacteristic
428C17×#102C2311yescharacteristic
429C17×#102C2311yescharacteristic
430C17×#102C2311yescharacteristic
431C17×#102C2311yescharacteristic
432C17×#102C2311yescharacteristic, complemented
433C17×C22⋊C8C2311yescharacteristic
434C17×C22⋊C8C2311yescharacteristic, complemented
435C17×#97C2311yescharacteristic, complemented
436#10587506C2311yescharacteristic, complemented
437#10587506C2311yescharacteristic, complemented
438#10587506C2311yescharacteristic, complemented
439#10587503C2311yescharacteristic
440#10587503C2311yescharacteristic
441#10587503C2311yescharacteristic
442#10587503C2311yescharacteristic
443#10587503C2311yescharacteristic
444#10587503C2311yescharacteristic
445#10587503C2311yescharacteristic, complemented
446C22⋊#3622C2311yescharacteristic
447C22⋊#3622C2311yescharacteristic, complemented
448#10587492C2311yescharacteristic
449#10587492C2311yescharacteristic
450#10587492C2311yescharacteristic
451#10587492C2311yescharacteristic
452#10587492C2311yescharacteristic
453#10587492C2311yescharacteristic
454#10587492C2311yescharacteristic, complemented
455#10587491C2311yescharacteristic
456#10587491C2311yescharacteristic
457#10587491C2311yescharacteristic, complemented
458#10587491C2311yescharacteristic, complemented
459#10587489C2311yescharacteristic, complemented
460#10587489C2311yescharacteristic, complemented
461#10587488C2311yescharacteristic, complemented
462#10587487C2311yescharacteristic, complemented
463#10587487C2311yescharacteristic, complemented
464#10587487C2311yescharacteristic, complemented
465#10587486C2311yescharacteristic, complemented
466#10587486C2311yescharacteristic, complemented
467#10587485C2311yescharacteristic, complemented
468#10587485C2311yescharacteristic, complemented
469#10587481C2311yescharacteristic, complemented
470#10587481C2311yescharacteristic, complemented
471#10587481C2311yescharacteristic, complemented
472#10587480C2311yescharacteristic
473#10587480C2311yescharacteristic
474#10587480C2311yescharacteristic
475#10587480C2311yescharacteristic
476#10587480C2311yescharacteristic
477#10587480C2311yescharacteristic
478#10587480C2311yescharacteristic, complemented
479#10587479C2311yescharacteristic, complemented
480#10587479C2311yescharacteristic, complemented
481#10587478C2311yescharacteristic, complemented
482#10587478C2311yescharacteristic, complemented
483#10587478C2311yescharacteristic, complemented
484#10587478C2311yescharacteristic, complemented
485C4⋊#3622C2311yescharacteristic, complemented
486#10587474C2311yescharacteristic, complemented
487C24×C17—21no—
488C23×D17—21no—
489C23×D17—21no—
490C23×D17—21no—
491C23×D17—21no—
492C23×D17—21no—
493C23×D17—21no—
494C23×D17—44no—
495C23×D17—44no—
496C23×D17—82no—
497C23×D17C2×D411yescharacteristic
498C23×D17C2×D411yescharacteristic
499#41×C17—22no—
500#41×C17—41no—
501C2×Q8×C17—21no—
502C2×Q8×C17C2411yescharacteristic
503C2×D4×C17—22no—
504C2×D4×C17—21no—
505C2×D4×C17—21no—
506C2×D4×C17—21no—
507C2×D4×C17—21no—
508C2×D4×C17—21no—
509C2×D4×C17—41no—
510C2×D4×C17C2×D411yescharacteristic
511C2×D4×C17C2411yescharacteristic
512C2×D4×C17C2411yescharacteristic
513C2×D4×C17C2411yescharacteristic
514C22×C4×C17—21no—
515C22×C4×C17—21no—
516C22×C4×C17—21no—
517C22×C4×C17C2411yescharacteristic
518C22×C4×C17C2411yescharacteristic
519C2×C22⋊D17—21no—
520C2×C22⋊D17—21no—
521C2×C22⋊D17—21no—
522C2×C22⋊D17—21no—
523C2×C22⋊D17—21no—
524C2×C22⋊D17—21no—
525C2×C22⋊D17—21no—
526C2×C22⋊D17—21no—
527C2×C22⋊D17—21no—
528C2×C22⋊D17—21no—
529C2×C22⋊D17—21no—
530C2×C22⋊D17—21no—
531C2×C22⋊D17—21no—
532C2×C22⋊D17—44no—
533C2×C22⋊D17C2×D411yescharacteristic
534C2×C22⋊D17C2×D411yescharacteristic
535C22×Dic17—21no—
536C22×Dic17—21no—
537C22×Dic17—21no—
538C22×Dic17C2×D411yescharacteristic
539C22×Dic17C2×D411yescharacteristic
540#63256—22no—
541#63256—41no—
542Q8×D17—22no—
543Q8×D17—22no—
544Q8×D17—82no—
545#63254—22no—
546#63254—41no—
547#63254—44no—
548D4×D17—22no—
549D4×D17—22no—
550D4×D17—22no—
551D4×D17—22no—
552D4×D17—22no—
553D4×D17—22no—
554D4×D17—22no—
555D4×D17—41no—
556D4×D17—41no—
557D4×D17—44no—
558D4×D17—42no—
559D4×D17—44no—
560D4×D17—44no—
561D4×D17—82no—
562D4×D17—82no—
563D4×D17—82no—
564D4×D17#4114yes—
565#63252—22no—
566#63252—41no—
567#63252—44no—
568C2×D68—22no—
569C2×D68—21no—
570C2×D68—21no—
571C2×D68—21no—
572C2×D68—21no—
573C2×D68—21no—
574C2×D68—41no—
575C2×D68C2×D411yescharacteristic
576C2×D68C2411yescharacteristic
577C2×D68C2411yescharacteristic
578C2×D68C2411yescharacteristic
579C2×C4×D17—22no—
580C2×C4×D17—22no—
581C2×C4×D17—22no—
582C2×C4×D17—22no—
583C2×C4×D17—21no—
584C2×C4×D17—21no—
585C2×C4×D17—21no—
586C2×C4×D17—21no—
587C2×C4×D17—21no—
588C2×C4×D17—21no—
589C2×C4×D17—21no—
590C2×C4×D17—21no—
591C2×C4×D17—21no—
592C2×C4×D17—21no—
593C2×C4×D17—21no—
594C2×C4×D17—44no—
595C2×C4×D17—44no—
596C2×C4×D17—82no—
597C2×C4×D17C2×D411yescharacteristic
598C2×C4×D17C2×D411yescharacteristic
599C2×C4×D17C2×D411yescharacteristic
600C2×C4×D17C2×D411yescharacteristic
601C2×C4×D17C2×D411yescharacteristic
602C2×C4×D17C2×D411yescharacteristic
603C2×C4×D17C2411yescharacteristic
604C2×C4×D17C2411yescharacteristic
605C2×C4×D17C2411yescharacteristic
606C2×Dic34—21no—
607C2×Dic34—21no—
608C2×Dic34—21no—
609C2×Dic34—21no—
610C2×Dic34C2411yescharacteristic
611SD16×C17—41no—
612D8×C17—22no—
613D8×C17—41no—
614M16×C17—41no—
615C2×C8×C17—41no—
616C2×C8×C17C2411yescharacteristic
617C2×C8×C17C2411yescharacteristic
618C2×C8×C17C2411yescharacteristic
619C2×C8×C17C2411yescharacteristic
620C4⋊C4×C17—21no—
621C4⋊C4×C17—21no—
622C4⋊C4×C17C2×D411yescharacteristic
623C4⋊C4×C17C2411yescharacteristic
624C4⋊C4×C17C2411yescharacteristic
625C4⋊C4×C17C2411yescharacteristic
626C4⋊C4×C17C2411yescharacteristic
627C22⋊C4×C17—21no—
628C22⋊C4×C17—21no—
629C22⋊C4×C17—21no—
630C22⋊C4×C17—21no—
631C22⋊C4×C17—21no—
632C22⋊C4×C17—21no—
633C22⋊C4×C17—21no—
634C22⋊C4×C17—21no—
635C22⋊C4×C17—21no—
636C22⋊C4×C17—21no—
637C22⋊C4×C17C2×D411yescharacteristic
638C22⋊C4×C17C2×D411yescharacteristic
639C42×C17—21no—
640C42×C17—21no—
641C42×C17C2411yescharacteristic
642C22⋊Dic17—21no—
643C22⋊Dic17—21no—
644C22⋊Dic17—21no—
645C22⋊Dic17—21no—
646C22⋊Dic17—21no—
647C22⋊Dic17—21no—
648C22⋊Dic17—21no—
649C22⋊Dic17—21no—
650C22⋊Dic17—21no—
651C22⋊Dic17—21no—
652C22⋊Dic17C2×D411yescharacteristic
653C22⋊Dic17C2×D411yescharacteristic
654#63230—41no—
655#63229—41no—
656#63228—22no—
657#63228—22no—
658#63228—41no—
659#63228—41no—
660#63227—21no—
661#63227—21no—
662#63227—21no—
663#63227—21no—
664#63227—21no—
665#63227—21no—
666#63227—21no—
667#63227—21no—
668#63227—21no—
669#63227—21no—
670#63227—21no—
671#63227—21no—
672#63227—21no—
673#63227—21no—
674#63227—21no—
675#63227—21no—
676#63227—21no—
677#63227—21no—
678#63227—21no—
679#63227—21no—
680#63227C2×D411yescharacteristic
681#63227C2×D411yescharacteristic
682#63227C2×D411yescharacteristic
683#63227C2×D411yescharacteristic
684C4⋊Dic17—21no—
685C4⋊Dic17—21no—
686C4⋊Dic17C2×D411yescharacteristic
687C4⋊Dic17C2411yescharacteristic
688C4⋊Dic17C2411yescharacteristic
689C4⋊Dic17C2411yescharacteristic
690C4⋊Dic17C2411yescharacteristic
691#63225—21no—
692#63225—21no—
693#63225—21no—
694#63225—21no—
695#63225—21no—
696#63225—21no—
697#63225—21no—
698#63225—21no—
699#63225C2×D411yescharacteristic
700#63225C2×D411yescharacteristic
701C4×Dic17—21no—
702C4×Dic17—21no—
703C4×Dic17—21no—
704C4×Dic17—21no—
705C4×Dic17—21no—
706C4×Dic17—21no—
707C4×Dic17C2×D411yescharacteristic
708C4×Dic17C2×D411yescharacteristic
709C4×Dic17C2411yescharacteristic
710#63223—41no—
711C2×#3622—41no—
712C2×#3622C2411yescharacteristic
713C2×#3622C2411yescharacteristic
714C2×#3622C2411yescharacteristic
715C2×#3622C2411yescharacteristic
716D136—22no—
717D136—41no—
718#63219—41no—
719#63218—41no—
720#63218—41no—
721C8×D17—22no—
722C8×D17—22no—
723C8×D17—22no—
724C8×D17—22no—
725C8×D17—41no—
726C8×D17—41no—
727C2×#3319—171nomaximal, Sylow
728C23×C17—21no—
729C23×C17—21no—
730C23×C17—21no—
731C23×C17—42no—
732C23×C17—42no—
733C23×C17—81no—
734C23×C17C22×D411yescharacteristic
735C23×C17C22×D411yescharacteristic
736C22×D17—21no—
737C22×D17—22no—
738C22×D17—22no—
739C22×D17—24no—
740C22×D17—22no—
741C22×D17—22no—
742C22×D17—22no—
743C22×D17—22no—
744C22×D17—21no—
745C22×D17—21no—
746C22×D17—42no—
747C22×D17—42no—
748C22×D17—42no—
749C22×D17—42no—
750C22×D17—42no—
751C22×D17—42no—
752C22×D17—42no—
753C22×D17—42no—
754C22×D17—42no—
755C22×D17—42no—
756C22×D17—42no—
757C22×D17—42no—
758C22×D17—42no—
759C22×D17—42no—
760C22×D17—81no—
761C22×D17—81no—
762C22×D17—81no—
763C22×D17—816no—
764C22×D17C22×D411yescharacteristic
765C22×D17C22×D411yescharacteristic
766C22×D17C22×D411yescharacteristic
767Q8×C17—21no—
768Q8×C17—21no—
769Q8×C17—81no—
770D4×C17—21no—
771D4×C17—21no—
772D4×C17—21no—
773D4×C17—21no—
774D4×C17—21no—
775D4×C17—41no—
776D4×C17—42no—
777D4×C17—42no—
778D4×C17—81no—
779D4×C17—81no—
780D4×C17—81no—
781D4×C17C2×#4112yes—
782C2×C4×C17—21no—
783C2×C4×C17—21no—
784C2×C4×C17—21no—
785C2×C4×C17—21no—
786C2×C4×C17—21no—
787C2×C4×C17—21no—
788C2×C4×C17—21no—
789C2×C4×C17—21no—
790C2×C4×C17—21no—
791C2×C4×C17—42no—
792C2×C4×C17—42no—
793C2×C4×C17—81no—
794C2×C4×C17C22×D411yescharacteristic
795C2×C4×C17C22×D411yescharacteristic
796C2×C4×C17C22×D411yescharacteristic
797C2×C4×C17C22×D411yescharacteristic
798C2×C4×C17C2511yescharacteristic
799C22⋊D17—24no—
800C22⋊D17—41no—
801C22⋊D17—41no—
802C22⋊D17—42no—
803C22⋊D17—42no—
804C22⋊D17—42no—
805C22⋊D17—42no—
806C22⋊D17—42no—
807C22⋊D17—42no—
808C22⋊D17—81no—
809C22⋊D17—81no—
810C22⋊D17—81no—
811C22⋊D17—81no—
812C22⋊D17—81no—
813C22⋊D17—81no—
814C2×Dic17—22no—
815C2×Dic17—22no—
816C2×Dic17—21no—
817C2×Dic17—21no—
818C2×Dic17—21no—
819C2×Dic17—21no—
820C2×Dic17—21no—
821C2×Dic17—42no—
822C2×Dic17—42no—
823C2×Dic17—81no—
824C2×Dic17C22×D411yescharacteristic
825C2×Dic17C22×D411yescharacteristic
826C2×Dic17C22×D411yescharacteristic
827C2×Dic17C22×D411yescharacteristic
828C2×Dic17C22×D411yescharacteristic
829D68—21no—
830D68—21no—
831D68—21no—
832D68—21no—
833D68—21no—
834D68—41no—
835D68—42no—
836D68—42no—
837D68—81no—
838D68—81no—
839D68—81no—
840D68C2×#4112yes—
841C4×D17—22no—
842C4×D17—22no—
843C4×D17—22no—
844C4×D17—22no—
845C4×D17—21no—
846C4×D17—21no—
847C4×D17—21no—
848C4×D17—21no—
849C4×D17—22no—
850C4×D17—22no—
851C4×D17—42no—
852C4×D17—42no—
853C4×D17—42no—
854C4×D17—42no—
855C4×D17—42no—
856C4×D17—42no—
857C4×D17—42no—
858C4×D17—42no—
859C4×D17—42no—
860C4×D17—81no—
861C4×D17—81no—
862C4×D17C2×#4112yes—
863C4×D17H(5,𝔽2)12yes—
864Dic34—21no—
865Dic34—21no—
866Dic34—42no—
867Dic34—81no—
868Dic34—81no—
869Dic34—81no—
870C8×C17—21no—
871C8×C17—21no—
872C8×C17—21no—
873C8×C17—21no—
874#3622—21no—
875#3622—21no—
876#3622—21no—
877#3622—21no—
878C2×#555—171no—
879C2×#546—171no—
880#3319—171no—
881#3319—171no—
882#3319—171no—
883#3319—171no—
884#3319—171no—
885#3319—171no—
886#3319—171no—
887#3319—171no—
888#3319—171no—
889#3319—171no—
890#3319—171no—
891#3319—171no—
892#3319—171no—
893#3319—171no—
894#3319—171no—
895#3319D1711yescharacteristic, direct product factor
896C2×#489—171no—
897C2×#485—171no—
898C2×#482—171no—
899C2×#474—171no—
900C2×#468—171no—
901C2×#466—171no—
902C2×#463—171no—
903C2×#449—171no—
904C2×#447—171no—
905C2×#442—171no—
906C2×#435—171no—
907C2×#418—171no—
908C2×#416—171no—
909C22×C17—21no—
910C22×C17—21no—
911C22×C17—22no—
912C22×C17—21no—
913C22×C17—21no—
914C22×C17—21no—
915C22×C17—21no—
916C22×C17—41no—
917C22×C17—41no—
918C22×C17—41no—
919C22×C17—41no—
920C22×C17—41no—
921C22×C17—41no—
922C22×C17—41no—
923C22×C17—41no—
924C22×C17—84no—
925C22×C17C23×D411yescharacteristic
926C2×D17—21no—
927C2×D17—21no—
928C2×D17—22no—
929C2×D17—21no—
930C2×D17—21no—
931C2×D17—21no—
932C2×D17—21no—
933C2×D17—41no—
934C2×D17—41no—
935C2×D17—44no—
936C2×D17—44no—
937C2×D17—48no—
938C2×D17—41no—
939C2×D17—41no—
940C2×D17—41no—
941C2×D17—41no—
942C2×D17—41no—
943C2×D17—41no—
944C2×D17—84no—
945C2×D17—84no—
946C2×D17—84no—
947C2×D17—84no—
948C2×D17—84no—
949C2×D17#54612yes—
950C2×D17#57512yes—
951C2×D17#57612yes—
952C4×C17—21no—
953C4×C17—21no—
954C4×C17—21no—
955C4×C17—21no—
956C4×C17—41no—
957C4×C17—41no—
958C4×C17—41no—
959C4×C17—41no—
960C4×C17—41no—
961C4×C17C22×#4111yescharacteristic
962C4×C17C2×H(5,𝔽2)11yescharacteristic
963Dic17—21no—
964Dic17—21no—
965Dic17—21no—
966Dic17—21no—
967Dic17—41no—
968Dic17—41no—
969Dic17—41no—
970Dic17—41no—
971Dic17—41no—
972Dic17#54612yes—
973C22×#41—171no—
974C23×D4—171no—
975C22×SD16—171no—
976C22×D8—171no—
977C22×D8—171no—
978C22×M16—171no—
979C23×C8—171no—
980#555—171no—
981#555—171no—
982#555—171no—
983#555—171no—
984#555—171no—
985#555—171no—
986#555—171no—
987#555—341no—
988#555—341no—
989#555—341no—
990#555—341no—
991#555C2×D1711yescharacteristic, complemented
992#546—171no—
993#546—171no—
994#546—171no—
995#546—171no—
996#546—171no—
997#546—171no—
998#546—171no—
999#546—341no—
1000#546—341no—
1001#546—341no—
1002#546—341no—
1003#546C2×D1711yescharacteristic, complemented
1004C2×C4⋊Q8—171no—
1005C2×#124—171no—
1006C2×#124—341no—
1007C2×#124—341no—
1008C2×#123—341no—
1009C2×C22⋊Q8—171no—
1010C2×#121—171no—
1011C2×#121—171no—
1012C2×#121—171no—
1013C2×#121—341no—
1014C2×#121—341no—
1015C2×#120—341no—
1016C2×C4×D4—171no—
1017C2×C4×D4—171no—
1018C2×C4×D4—171no—
1019C2×#117—171no—
1020C2×#117—171no—
1021C2×#117—341no—
1022C22×C22⋊C4—341no—
1023#489—171no—
1024#489—171no—
1025#489—171no—
1026#489—171no—
1027#489—171no—
1028#489—171no—
1029#489—171no—
1030#489C2×D1711yescharacteristic, complemented
1031#485—171no—
1032#485—171no—
1033#485—171no—
1034#485—171no—
1035#485—171no—
1036#485—171no—
1037#485—171no—
1038#485C2×D1711yescharacteristic, complemented
1039#482—171no—
1040#482—171no—
1041#482—171no—
1042#482—171no—
1043#482—171no—
1044#482—171no—
1045#482—171no—
1046#482C2×D1711yescharacteristic, complemented
1047#474—171no—
1048#474—171no—
1049#474—171no—
1050#474—171no—
1051#474—171no—
1052#474—171no—
1053#474—171no—
1054#474C2×D1711yescharacteristic, complemented
1055#468—171no—
1056#468—171no—
1057#468—171no—
1058#468—171no—
1059#468—171no—
1060#468—171no—
1061#468—171no—
1062#468C2×D1711yescharacteristic, complemented
1063#466—171no—
1064#466—171no—
1065#466—171no—
1066#466—171no—
1067#466—171no—
1068#466—171no—
1069#466—171no—
1070#466C2×D1711yescharacteristic, complemented
1071#463—171no—
1072#463—171no—
1073#463—171no—
1074#463—171no—
1075#463—171no—
1076#463—171no—
1077#463—171no—
1078#463C2×D1711yescharacteristic, complemented
1079#449—171no—
1080#449—171no—
1081#449—171no—
1082#449—171no—
1083#449—171no—
1084#449—171no—
1085#449—171no—
1086#449C2×D1711yescharacteristic, complemented
1087#447—171no—
1088#447—171no—
1089#447—171no—
1090#447—171no—
1091#447—171no—
1092#447—171no—
1093#447—171no—
1094#447C2×D1711yescharacteristic, complemented
1095#442—171no—
1096#442—171no—
1097#442—171no—
1098#442—171no—
1099#442—171no—
1100#442—171no—
1101#442—171no—
1102#442C2×D1711yescharacteristic, complemented
1103#435—171no—
1104#435—171no—
1105#435—171no—
1106#435—171no—
1107#435—171no—
1108#435—171no—
1109#435—171no—
1110#435C2×D1711yescharacteristic, complemented
1111C2×#107—171no—
1112C2×#107—171no—
1113C2×#106—171no—
1114C2×C4⋊C8—171no—
1115#418—171no—
1116#418—171no—
1117#418—171no—
1118#418—171no—
1119#418—171no—
1120#418—171no—
1121#418—171no—
1122#418C2×D1711yescharacteristic, complemented
1123#416—171no—
1124#416—171no—
1125#416—171no—
1126#416—171no—
1127#416—171no—
1128#416—171no—
1129#416—171no—
1130#416C2×D1711yescharacteristic, complemented
1131C2×#103—171no—
1132C2×#103—171no—
1133C2×#103—171no—
1134C2×#102—171no—
1135C2×#102—171no—
1136C2×#102—171no—
1137C2×#102—171no—
1138C2×#102—171no—
1139C2×#102—171no—
1140C2×#102—171no—
1141C2×C22⋊C8—171no—
1142C2×C22⋊C8—171no—
1143C2×#97—171no—
1144C2×C17—41no—
1145C2×C17—42no—
1146C2×C17—41no—
1147C2×C17—81no—
1148C2×C17—81no—
1149C2×C17C2×#54611yescharacteristic
1150C2×C17C2×#57511yescharacteristic
1151C2×C17C2×#57611yescharacteristic
1152D17—41no—
1153D17—41no—
1154D17—42no—
1155D17—81no—
1156D17—81no—
1157D17#331914yesdirect product factor
1158C25—341no—
1159C2×#41—171no—
1160C2×#41—171no—
1161C2×#41—171no—
1162C2×#41—341no—
1163C2×#41—341no—
1164C2×#41—344no—
1165C2×#41—682no—
1166C2×#41C22×D1711yescharacteristic
1167C22×Q8—171no—
1168C22×Q8—341no—
1169C22×D4—171no—
1170C22×D4—171no—
1171C22×D4—171no—
1172C22×D4—171no—
1173C22×D4—171no—
1174C22×D4—171no—
1175C22×D4—171no—
1176C22×D4—341no—
1177C22×D4—341no—
1178C22×D4—341no—
1179C22×D4—344no—
1180C22×D4—341no—
1181C22×D4—341no—
1182C22×D4—341no—
1183C22×D4—341no—
1184C22×D4—682no—
1185C22×D4C22×D1711yescharacteristic
1186C23×C4—171no—
1187C23×C4—171no—
1188C23×C4—341no—
1189C23×C4—341no—
1190C23×C4—341no—
1191C2×SD16—171no—
1192C2×SD16—171no—
1193C2×SD16—171no—
1194C2×SD16—682no—
1195C2×SD16C22×D1711yescharacteristic, complemented
1196C2×D8—171no—
1197C2×D8—171no—
1198C2×D8—171no—
1199C2×D8—171no—
1200C2×D8—171no—
1201C2×D8—171no—
1202C2×D8—344no—
1203C2×D8—682no—
1204C2×D8C22×D1711yescharacteristic
1205C2×D8C22×D1711yescharacteristic
1206C2×M16—171no—
1207C2×M16—171no—
1208C2×M16—171no—
1209C2×M16—682no—
1210C2×M16C22×D1711yescharacteristic
1211C22×C8—171no—
1212C22×C8—171no—
1213C22×C8—171no—
1214C22×C8—171no—
1215C22×C8—171no—
1216C22×C8—171no—
1217C22×C8—171no—
1218C22×C8—682no—
1219C22×C8C22×D1711yescharacteristic, complemented
1220C4⋊Q8—171no—
1221C4⋊Q8—171no—
1222C4⋊Q8—171no—
1223C4⋊Q8—341no—
1224C4⋊Q8—341no—
1225C4⋊Q8C22×D1711yescharacteristic, complemented
1226#124—21no—
1227#124—21no—
1228#124—171no—
1229#124—171no—
1230#124—171no—
1231#124—341no—
1232#124—341no—
1233#124—341no—
1234#124—341no—
1235#124—341no—
1236#124—341no—
1237#124—341no—
1238#124—341no—
1239#124—341no—
1240#124—341no—
1241#124—341no—
1242#124—341no—
1243#124—341no—
1244#124—341no—
1245#124—341no—
1246#124—341no—
1247#124C22×D1711yescharacteristic
1248#123—21no—
1249#123—341no—
1250#123—341no—
1251#123—341no—
1252#123—341no—
1253#123—341no—
1254#123—341no—
1255#123—341no—
1256C22⋊Q8—171no—
1257C22⋊Q8—171no—
1258C22⋊Q8—171no—
1259C22⋊Q8—341no—
1260C22⋊Q8—341no—
1261C22⋊Q8C22×D1711yescharacteristic
1262#121—21no—
1263#121—21no—
1264#121—171no—
1265#121—171no—
1266#121—171no—
1267#121—171no—
1268#121—171no—
1269#121—171no—
1270#121—171no—
1271#121—171no—
1272#121—171no—
1273#121—341no—
1274#121—341no—
1275#121—341no—
1276#121—341no—
1277#121—341no—
1278#121—341no—
1279#121—341no—
1280#121—341no—
1281#121—341no—
1282#121—341no—
1283#121—341no—
1284#121—341no—
1285#121—341no—
1286#121—341no—
1287#121—341no—
1288#121—341no—
1289#121—341no—
1290#121—341no—
1291#121—341no—
1292#121—341no—
1293#121C22×D1711yescharacteristic
1294#121C22×D1711yescharacteristic
1295#121C22×D1711yescharacteristic, complemented
1296#120—21no—
1297#120—341no—
1298#120—341no—
1299#120—341no—
1300#120—341no—
1301#120—341no—
1302#120—341no—
1303#120—341no—
1304C4×D4—171no—
1305C4×D4—171no—
1306C4×D4—171no—
1307C4×D4—171no—
1308C4×D4—171no—
1309C4×D4—171no—
1310C4×D4—171no—
1311C4×D4—171no—
1312C4×D4—171no—
1313C4×D4—171no—
1314C4×D4—171no—
1315C4×D4—171no—
1316C4×D4—171no—
1317C4×D4—341no—
1318C4×D4—341no—
1319C4×D4—341no—
1320C4×D4—341no—
1321C4×D4C22×D1711yescharacteristic
1322C4×D4C22×D1711yescharacteristic
1323C4×D4C22×D1711yescharacteristic, complemented
1324#117—21no—
1325#117—171no—
1326#117—171no—
1327#117—171no—
1328#117—171no—
1329#117—171no—
1330#117—171no—
1331#117—341no—
1332#117—341no—
1333#117—341no—
1334#117—341no—
1335#117—341no—
1336#117—341no—
1337#117—341no—
1338#117—341no—
1339#117—341no—
1340#117—341no—
1341#117—341no—
1342#117C22×D1711yescharacteristic
1343#117C22×D1711yescharacteristic, complemented
1344C2×C4⋊C4—171no—
1345C2×C4⋊C4—171no—
1346C2×C4⋊C4—171no—
1347C2×C4⋊C4—171no—
1348C2×C4⋊C4—171no—
1349C2×C4⋊C4—341no—
1350C2×C4⋊C4—341no—
1351C2×C22⋊C4—21no—
1352C2×C22⋊C4—171no—
1353C2×C22⋊C4—171no—
1354C2×C22⋊C4—341no—
1355C2×C22⋊C4—341no—
1356C2×C22⋊C4—341no—
1357C2×C22⋊C4—341no—
1358C2×C22⋊C4—341no—
1359C2×C22⋊C4—341no—
1360C2×C22⋊C4—341no—
1361C2×C22⋊C4—341no—
1362C2×C22⋊C4—341no—
1363C2×C22⋊C4—341no—
1364C2×C22⋊C4—341no—
1365C2×C22⋊C4—341no—
1366C2×C22⋊C4—341no—
1367C2×C22⋊C4—341no—
1368C2×C22⋊C4—341no—
1369C2×C22⋊C4—341no—
1370C2×C22⋊C4—341no—
1371C2×C42—171no—
1372C2×C42—341no—
1373C2×C42—341no—
1374#107—171no—
1375#107—171no—
1376#107—171no—
1377#107—171no—
1378#107—171no—
1379#107—171no—
1380#107C22×D1711yescharacteristic, complemented
1381#107C22×D1711yescharacteristic, complemented
1382#106—171no—
1383#106—171no—
1384#106—171no—
1385#106C22×D1711yescharacteristic, complemented
1386C4⋊C8—171no—
1387C4⋊C8—171no—
1388C4⋊C8—171no—
1389C4⋊C8C22×D1711yescharacteristic, complemented
1390#103—171no—
1391#103—171no—
1392#103—171no—
1393#103—171no—
1394#103—171no—
1395#103—171no—
1396#103—171no—
1397#103—171no—
1398#103—171no—
1399#103C22×D1711yescharacteristic, complemented
1400#103C22×D1711yescharacteristic, complemented
1401#103C22×D1711yescharacteristic, complemented
1402#102—171no—
1403#102—171no—
1404#102—171no—
1405#102—171no—
1406#102—171no—
1407#102—171no—
1408#102—171no—
1409#102—171no—
1410#102—171no—
1411#102—171no—
1412#102—171no—
1413#102—171no—
1414#102—171no—
1415#102—171no—
1416#102—171no—
1417#102—171no—
1418#102—171no—
1419#102—171no—
1420#102—171no—
1421#102—171no—
1422#102—171no—
1423#102C22×D1711yescharacteristic
1424#102C22×D1711yescharacteristic
1425#102C22×D1711yescharacteristic
1426#102C22×D1711yescharacteristic
1427#102C22×D1711yescharacteristic
1428#102C22×D1711yescharacteristic
1429#102C22×D1711yescharacteristic, complemented
1430C22⋊C8—171no—
1431C22⋊C8—171no—
1432C22⋊C8—171no—
1433C22⋊C8—171no—
1434C22⋊C8—171no—
1435C22⋊C8—171no—
1436C22⋊C8C22×D1711yescharacteristic
1437C22⋊C8C22×D1711yescharacteristic, complemented
1438#97—171no—
1439#97—171no—
1440#97—171no—
1441#97C22×D1711yescharacteristic, complemented
1442C17C2×#331911yescharacteristic, complemented, Sylow
1443C24—21no—
1444C24—171no—
1445C24—171no—
1446C24—341no—
1447C24—341no—
1448C24—341no—
1449C24—341no—
1450C24—341no—
1451C24—341no—
1452C24—684no—
1453C24—684no—
1454C24—1362no—
1455#41—22no—
1456#41—41no—
1457#41—342no—
1458#41—342no—
1459#41—342no—
1460#41—681no—
1461#41—684no—
1462#41—681no—
1463#41—684no—
1464#41—681no—
1465C2×Q8—21no—
1466C2×Q8—171no—
1467C2×Q8—341no—
1468C2×Q8—341no—
1469C2×Q8—341no—
1470C2×Q8—342no—
1471C2×Q8—342no—
1472C2×Q8—341no—
1473C2×Q8—1362no—
1474C2×Q8C23×D1711yescharacteristic
1475C2×D4—22no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—21no—
1480C2×D4—21no—
1481C2×D4—41no—
1482C2×D4—174no—
1483C2×D4—171no—
1484C2×D4—171no—
1485C2×D4—171no—
1486C2×D4—171no—
1487C2×D4—171no—
1488C2×D4—171no—
1489C2×D4—342no—
1490C2×D4—341no—
1491C2×D4—341no—
1492C2×D4—341no—
1493C2×D4—341no—
1494C2×D4—342no—
1495C2×D4—342no—
1496C2×D4—342no—
1497C2×D4—342no—
1498C2×D4—342no—
1499C2×D4—341no—
1500C2×D4—341no—
1501C2×D4—341no—
1502C2×D4—341no—
1503C2×D4—341no—
1504C2×D4—342no—
1505C2×D4—342no—
1506C2×D4—341no—
1507C2×D4—341no—
1508C2×D4—341no—
1509C2×D4—341no—
1510C2×D4—341no—
1511C2×D4—341no—
1512C2×D4—341no—
1513C2×D4—341no—
1514C2×D4—341no—
1515C2×D4—681no—
1516C2×D4—681no—
1517C2×D4—681no—
1518C2×D4—684no—
1519C2×D4—682no—
1520C2×D4—684no—
1521C2×D4—684no—
1522C2×D4—684no—
1523C2×D4—1362no—
1524C2×D4—1362no—
1525C2×D4—1362no—
1526C2×D4D4×D1711yescharacteristic
1527C2×D4C23×D1711yescharacteristic
1528C2×D4C23×D1711yescharacteristic
1529C2×D4C23×D1711yescharacteristic
1530C22×C4—21no—
1531C22×C4—21no—
1532C22×C4—21no—
1533C22×C4—171no—
1534C22×C4—171no—
1535C22×C4—171no—
1536C22×C4—171no—
1537C22×C4—171no—
1538C22×C4—171no—
1539C22×C4—171no—
1540C22×C4—171no—
1541C22×C4—171no—
1542C22×C4—171no—
1543C22×C4—171no—
1544C22×C4—342no—
1545C22×C4—342no—
1546C22×C4—342no—
1547C22×C4—342no—
1548C22×C4—341no—
1549C22×C4—341no—
1550C22×C4—341no—
1551C22×C4—341no—
1552C22×C4—341no—
1553C22×C4—341no—
1554C22×C4—341no—
1555C22×C4—341no—
1556C22×C4—341no—
1557C22×C4—341no—
1558C22×C4—341no—
1559C22×C4—341no—
1560C22×C4—341no—
1561C22×C4—341no—
1562C22×C4—684no—
1563C22×C4—684no—
1564C22×C4—1362no—
1565C22×C4C23×D1711yescharacteristic
1566C22×C4C23×D1711yescharacteristic
1567SD16—41no—
1568SD16—681no—
1569SD16—681no—
1570SD16—681no—
1571D8—22no—
1572D8—41no—
1573D8—342no—
1574D8—342no—
1575D8—342no—
1576D8—681no—
1577D8—681no—
1578D8—681no—
1579M16—41no—
1580M16—681no—
1581M16—681no—
1582M16—681no—
1583C2×C8—41no—
1584C2×C8—171no—
1585C2×C8—171no—
1586C2×C8—171no—
1587C2×C8—171no—
1588C2×C8—342no—
1589C2×C8—342no—
1590C2×C8—342no—
1591C2×C8—342no—
1592C2×C8—681no—
1593C2×C8—681no—
1594C2×C8—681no—
1595C2×C8C23×D1711yescharacteristic
1596C2×C8C23×D1711yescharacteristic
1597C2×C8C23×D1711yescharacteristic
1598C2×C8C23×D1711yescharacteristic
1599C4⋊C4—21no—
1600C4⋊C4—21no—
1601C4⋊C4—171no—
1602C4⋊C4—171no—
1603C4⋊C4—171no—
1604C4⋊C4—171no—
1605C4⋊C4—171no—
1606C4⋊C4—171no—
1607C4⋊C4—171no—
1608C4⋊C4—341no—
1609C4⋊C4—341no—
1610C4⋊C4—341no—
1611C4⋊C4—341no—
1612C4⋊C4—341no—
1613C4⋊C4—341no—
1614C4⋊C4—341no—
1615C4⋊C4—341no—
1616C4⋊C4—341no—
1617C4⋊C4—341no—
1618C4⋊C4D4×D1711yescharacteristic
1619C4⋊C4C23×D1711yescharacteristic
1620C4⋊C4C23×D1711yescharacteristic
1621C4⋊C4C23×D1711yescharacteristic
1622C4⋊C4C23×D1711yescharacteristic
1623C22⋊C4—21no—
1624C22⋊C4—21no—
1625C22⋊C4—21no—
1626C22⋊C4—21no—
1627C22⋊C4—21no—
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—171no—
1634C22⋊C4—171no—
1635C22⋊C4—171no—
1636C22⋊C4—171no—
1637C22⋊C4—171no—
1638C22⋊C4—171no—
1639C22⋊C4—341no—
1640C22⋊C4—341no—
1641C22⋊C4—341no—
1642C22⋊C4—341no—
1643C22⋊C4—341no—
1644C22⋊C4—341no—
1645C22⋊C4—341no—
1646C22⋊C4—341no—
1647C22⋊C4—341no—
1648C22⋊C4—341no—
1649C22⋊C4—341no—
1650C22⋊C4—341no—
1651C22⋊C4—341no—
1652C22⋊C4—341no—
1653C22⋊C4—341no—
1654C22⋊C4—341no—
1655C22⋊C4—341no—
1656C22⋊C4—341no—
1657C22⋊C4—341no—
1658C22⋊C4—341no—
1659C22⋊C4—341no—
1660C22⋊C4—341no—
1661C22⋊C4—341no—
1662C22⋊C4—341no—
1663C22⋊C4—341no—
1664C22⋊C4—341no—
1665C22⋊C4—341no—
1666C22⋊C4—341no—
1667C22⋊C4—341no—
1668C22⋊C4—341no—
1669C22⋊C4D4×D1711yescharacteristic
1670C22⋊C4D4×D1711yescharacteristic
1671C42—21no—
1672C42—21no—
1673C42—171no—
1674C42—171no—
1675C42—171no—
1676C42—341no—
1677C42—341no—
1678C42—341no—
1679C42—341no—
1680C42—341no—
1681C42—341no—
1682C42C23×D1711yescharacteristic
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—42no—
1687C23—42no—
1688C23—81no—
1689C23—171no—
1690C23—171no—
1691C23—171no—
1692C23—342no—
1693C23—342no—
1694C23—344no—
1695C23—342no—
1696C23—342no—
1697C23—342no—
1698C23—342no—
1699C23—341no—
1700C23—341no—
1701C23—341no—
1702C23—682no—
1703C23—682no—
1704C23—682no—
1705C23—682no—
1706C23—682no—
1707C23—682no—
1708C23—682no—
1709C23—682no—
1710C23—682no—
1711C23—682no—
1712C23—682no—
1713C23—682no—
1714C23—682no—
1715C23—682no—
1716C23—1361no—
1717C23—1361no—
1718C23—1361no—
1719C23—13616no—
1720C23C2×D4×D1711yescharacteristic
1721C23C2×D4×D1711yescharacteristic
1722Q8—21no—
1723Q8—21no—
1724Q8—81no—
1725Q8—341no—
1726Q8—341no—
1727Q8—682no—
1728Q8—1361no—
1729Q8—1361no—
1730Q8—1361no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—21no—
1736D4—41no—
1737D4—42no—
1738D4—42no—
1739D4—81no—
1740D4—81no—
1741D4—81no—
1742D4—172no—
1743D4—344no—
1744D4—341no—
1745D4—341no—
1746D4—341no—
1747D4—341no—
1748D4—341no—
1749D4—681no—
1750D4—682no—
1751D4—682no—
1752D4—682no—
1753D4—682no—
1754D4—681no—
1755D4—681no—
1756D4—682no—
1757D4—682no—
1758D4—682no—
1759D4—682no—
1760D4—1361no—
1761D4—1361no—
1762D4—1361no—
1763D4—1361no—
1764D4—1361no—
1765D4—1361no—
1766D4—1361no—
1767D4—1361no—
1768D4—1361no—
1769D4#41×D1712yes—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—42no—
1780C2×C4—42no—
1781C2×C4—81no—
1782C2×C4—171no—
1783C2×C4—172no—
1784C2×C4—172no—
1785C2×C4—171no—
1786C2×C4—171no—
1787C2×C4—171no—
1788C2×C4—171no—
1789C2×C4—342no—
1790C2×C4—342no—
1791C2×C4—342no—
1792C2×C4—342no—
1793C2×C4—342no—
1794C2×C4—342no—
1795C2×C4—342no—
1796C2×C4—342no—
1797C2×C4—341no—
1798C2×C4—341no—
1799C2×C4—341no—
1800C2×C4—341no—
1801C2×C4—341no—
1802C2×C4—341no—
1803C2×C4—341no—
1804C2×C4—341no—
1805C2×C4—341no—
1806C2×C4—682no—
1807C2×C4—682no—
1808C2×C4—682no—
1809C2×C4—682no—
1810C2×C4—682no—
1811C2×C4—682no—
1812C2×C4—682no—
1813C2×C4—682no—
1814C2×C4—682no—
1815C2×C4—682no—
1816C2×C4—682no—
1817C2×C4—1361no—
1818C2×C4—1361no—
1819C2×C4—1361no—
1820C2×C4C2×D4×D1711yescharacteristic
1821C2×C4C2×D4×D1711yescharacteristic
1822C2×C4C2×D4×D1711yescharacteristic
1823C2×C4C2×D4×D1711yescharacteristic
1824C2×C4C24×D1711yescharacteristic
1825C8—21no—
1826C8—21no—
1827C8—21no—
1828C8—21no—
1829C8—341no—
1830C8—341no—
1831C8—341no—
1832C8—341no—
1833C22—21no—
1834C22—21no—
1835C22—22no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—41no—
1846C22—41no—
1847C22—41no—
1848C22—84no—
1849C22—172no—
1850C22—172no—
1851C22—172no—
1852C22—341no—
1853C22—341no—
1854C22—342no—
1855C22—341no—
1856C22—341no—
1857C22—341no—
1858C22—341no—
1859C22—684no—
1860C22—684no—
1861C22—688no—
1862C22—681no—
1863C22—681no—
1864C22—681no—
1865C22—681no—
1866C22—681no—
1867C22—681no—
1868C22—681no—
1869C22—681no—
1870C22—1364no—
1871C22—1364no—
1872C22—1364no—
1873C22—1364no—
1874C22—1364no—
1875C22C22×D4×D1711yescharacteristic
1876C4—21no—
1877C4—21no—
1878C4—21no—
1879C4—21no—
1880C4—41no—
1881C4—41no—
1882C4—41no—
1883C4—41no—
1884C4—41no—
1885C4—172no—
1886C4—341no—
1887C4—341no—
1888C4—341no—
1889C4—341no—
1890C4—681no—
1891C4—681no—
1892C4—681no—
1893C4—681no—
1894C4—681no—
1895C4C2×#41×D1711yescharacteristic
1896C4H(5,𝔽2)×D1711yescharacteristic
1897C2—41no—
1898C2—41no—
1899C2—42no—
1900C2—81no—
1901C2—81no—
1902C2—174no—
1903C2—681no—
1904C2—681no—
1905C2—682no—
1906C2—1361no—
1907C2—1361no—
1908C2D17×#54611yescharacteristic
1909C2D17×#57511yescharacteristic
1910C2D17×#57611yescharacteristic
subgroupG/H
centerC22C22×D4×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC17×#3319C2
socleC22×C17C23×D4
hypercenter#3319D17
hypocenterC17C2×#3319
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3319

Complements

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

NH ≅ G/Ntype
1. D17×#555C2semidirect
2. D17×#546C2semidirect
3. #14540947C2semidirect
4. #14540946C2semidirect
5. #14540945C2semidirect
6. #14540944C2semidirect
7. #14540943C2semidirect
8. #14540942C2semidirect
9. #14540941C2semidirect
10. #14540940C2semidirect
11. #14540939C2semidirect
12. #14540938C2semidirect
13. #14540937C2semidirect
14. #14540936C2semidirect
15. #14540935C2semidirect
16. #14540934C2semidirect
17. #14540933C2semidirect
18. D17×#489C2semidirect
19. D17×#485C2semidirect
20. D17×#482C2semidirect
21. D17×#474C2semidirect
22. D17×#468C2semidirect
23. D17×#466C2semidirect
24. D17×#463C2semidirect
25. D17×#449C2semidirect
26. D17×#447C2semidirect
27. D17×#442C2semidirect
28. D17×#435C2semidirect
29. D17×#418C2semidirect
30. D17×#416C2semidirect
31. C17×#3319C2semidirect
34. C2×SD16×D17C22semidirect
38. C22×C8×D17C22semidirect
39. #11763525C22semidirect
40. #11763524C22semidirect
41. #11763524C22semidirect
43. #11763523C22semidirect
44. #11763523C22semidirect
46. #11763522C22semidirect
47. #11763522C22semidirect
50. #11763456C22semidirect
51. #11763455C22semidirect
52. #11763454C22semidirect
53. #11763453C22semidirect
54. #11763452C22semidirect
56. #11763450C22semidirect
59. #11763447C22semidirect
61. C4⋊Q8×D17C22semidirect
71. #121×D17C22semidirect
75. C4×D4×D17C22semidirect
78. #117×D17C22semidirect
80. #11763171C22semidirect
81. #11763170C22semidirect
82. #11763170C22semidirect
83. #11763169C22semidirect
84. #11763168C22semidirect
85. #11763167C22semidirect
86. #11763167C22semidirect
87. #11763153C22semidirect
88. #11763152C22semidirect
89. #11763151C22semidirect
90. #11763150C22semidirect
91. #11763149C22semidirect
92. #11763148C22semidirect
93. #11763147C22semidirect
94. #11763136C22semidirect
95. #11763135C22semidirect
96. #11763134C22semidirect
97. #11763133C22semidirect
98. #11763132C22semidirect
99. #11763131C22semidirect
100. #11763130C22semidirect
101. #11763090C22semidirect
102. #11763089C22semidirect
103. #11763088C22semidirect
104. #11763088C22semidirect
105. #11763087C22semidirect
106. #11763087C22semidirect
107. #11763086C22semidirect
108. #11763058C22semidirect
109. #11763057C22semidirect
110. #11763056C22semidirect
111. #11763055C22semidirect
112. #11763054C22semidirect
113. #11763053C22semidirect
114. #11763052C22semidirect
115. #11763046C22semidirect
116. #11763045C22semidirect
117. #11763044C22semidirect
118. #11763044C22semidirect
119. #11763043C22semidirect
120. #11763043C22semidirect
121. #11763042C22semidirect
122. #11763027C22semidirect
123. #11763026C22semidirect
124. #11763025C22semidirect
125. #11763024C22semidirect
126. #11763023C22semidirect
127. #11763022C22semidirect
128. #11763021C22semidirect
129. #11762957C22semidirect
130. #11762956C22semidirect
131. #11762955C22semidirect
132. #11762954C22semidirect
133. #11762953C22semidirect
134. #11762952C22semidirect
135. #11762951C22semidirect
136. #11762945C22semidirect
137. #11762944C22semidirect
138. #11762944C22semidirect
139. #11762943C22semidirect
140. #11762942C22semidirect
141. #11762941C22semidirect
142. #11762941C22semidirect
143. #11762922C22semidirect
144. #11762921C22semidirect
145. #11762920C22semidirect
146. #11762919C22semidirect
147. #11762919C22semidirect
148. #11762918C22semidirect
149. #11762918C22semidirect
150. #11762883C22semidirect
151. #11762882C22semidirect
152. #11762881C22semidirect
153. #11762880C22semidirect
154. #11762879C22semidirect
155. #11762878C22semidirect
156. #11762877C22semidirect
157. #107×D17C22semidirect
158. #107×D17C22semidirect
159. #106×D17C22semidirect
160. C4⋊C8×D17C22semidirect
161. #11762815C22semidirect
162. #11762814C22semidirect
163. #11762813C22semidirect
164. #11762812C22semidirect
165. #11762812C22semidirect
166. #11762812C22semidirect
167. #11762812C22semidirect
168. #11762806C22semidirect
169. #11762805C22semidirect
170. #11762804C22semidirect
171. #11762804C22semidirect
172. #11762803C22semidirect
173. #11762802C22semidirect
174. #11762802C22semidirect
175. #103×D17C22semidirect
176. #103×D17C22semidirect
177. #103×D17C22semidirect
184. #102×D17C22semidirect
186. C22⋊C8×D17C22semidirect
187. #97×D17C22semidirect
188. C17×#555C22semidirect
189. C17×#546C22semidirect
190. C17×#489C22semidirect
191. C17×#485C22semidirect
192. C17×#482C22semidirect
193. C17×#474C22semidirect
194. C17×#468C22semidirect
195. C17×#466C22semidirect
196. C17×#463C22semidirect
197. C17×#449C22semidirect
198. C17×#447C22semidirect
199. C17×#442C22semidirect
200. C17×#435C22semidirect
201. C17×#418C22semidirect
202. C17×#416C22semidirect
236. C2×SD16×C17C23semidirect
240. C22×C8×C17C23semidirect
241. C17×C4⋊Q8C23semidirect
251. C17×#121C23semidirect
255. C4×D4×C17C23semidirect
258. C17×#117C23semidirect
267. C2×#63230C23semidirect
279. #10587624C23semidirect
289. D4×Dic17C23semidirect
290. C2×#63229C23semidirect
299. #10587616C23semidirect
309. #10587612C23semidirect
312. C22×#3622C23semidirect
319. C2×#63219C23semidirect
327. C2×C8×D17C23semidirect
328. C2×C8×D17C23semidirect
335. #10587581C23semidirect
340. #10587579C23semidirect
345. #10587578C23semidirect
346. #10587578C23semidirect
355. #10587574C23semidirect
356. #10587574C23semidirect
410. C4×D68C23semidirect
418. #10587555C23semidirect
419. C17×#107C23semidirect
420. C17×#107C23semidirect
421. C17×#106C23semidirect
422. C17×C4⋊C8C23semidirect
423. C17×#103C23semidirect
424. C17×#103C23semidirect
425. C17×#103C23semidirect
432. C17×#102C23semidirect
434. C17×C22⋊C8C23semidirect
435. C17×#97C23semidirect
436. #10587506C23semidirect
437. #10587506C23semidirect
438. #10587506C23semidirect
445. #10587503C23semidirect
447. C22⋊#3622C23semidirect
454. #10587492C23semidirect
457. #10587491C23semidirect
458. #10587491C23semidirect
459. #10587489C23semidirect
460. #10587489C23semidirect
461. #10587488C23semidirect
462. #10587487C23semidirect
463. #10587487C23semidirect
464. #10587487C23semidirect
465. #10587486C23semidirect
466. #10587486C23semidirect
467. #10587485C23semidirect
468. #10587485C23semidirect
469. #10587481C23semidirect
470. #10587481C23semidirect
471. #10587481C23semidirect
478. #10587480C23semidirect
479. #10587479C23semidirect
480. #10587479C23semidirect
481. #10587478C23semidirect
482. #10587478C23semidirect
483. #10587478C23semidirect
484. #10587478C23semidirect
485. C4⋊#3622C23semidirect
486. #10587474C23semidirect
895. #3319D17direct (N × H)
991. #555C2×D17semidirect
1003. #546C2×D17semidirect
1030. #489C2×D17semidirect
1038. #485C2×D17semidirect
1046. #482C2×D17semidirect
1054. #474C2×D17semidirect
1062. #468C2×D17semidirect
1070. #466C2×D17semidirect
1078. #463C2×D17semidirect
1086. #449C2×D17semidirect
1094. #447C2×D17semidirect
1102. #442C2×D17semidirect
1110. #435C2×D17semidirect
1122. #418C2×D17semidirect
1130. #416C2×D17semidirect
1157. D17#3319direct (N × H)
1195. C2×SD16C22×D17semidirect
1219. C22×C8C22×D17semidirect
1225. C4⋊Q8C22×D17semidirect
1295. #121C22×D17semidirect
1323. C4×D4C22×D17semidirect
1343. #117C22×D17semidirect
1380. #107C22×D17semidirect
1381. #107C22×D17semidirect
1385. #106C22×D17semidirect
1389. C4⋊C8C22×D17semidirect
1399. #103C22×D17semidirect
1400. #103C22×D17semidirect
1401. #103C22×D17semidirect
1429. #102C22×D17semidirect
1437. C22⋊C8C22×D17semidirect
1441. #97C22×D17semidirect
1442. C17C2×#3319semidirect

Maximal subgroups

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

subgroupindex
D17×#5552
D17×#5462
#145409472
#145409462
#145409452
#145409442
#145409432
#145409422
#145409412
#145409402
#145409392
#145409382
#145409372
#145409362
#145409352
#145409342
#145409332
D17×#4892
D17×#4852
D17×#4822
D17×#4742
D17×#4682
D17×#4662
D17×#4632
D17×#4492
D17×#4472
D17×#4422
D17×#4352
D17×#4182
D17×#4162
C17×#33192
C2×#331917