Finite Group Databasebeta

← D17×#3557 #17941766

Subgroups — D17×#3557 #17941766

Order 4352.

6554 conjugacy classes of subgroups.

The subgroup lattice has 2070 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14543292C211yesmaximal, characteristic, complemented
2#14543291C212yesmaximal, complemented
3#14543290C211yesmaximal, characteristic, complemented
4#14543289C211yesmaximal, characteristic, complemented
5#14543288C214yesmaximal, complemented
6#14543287C212yesmaximal, complemented
7#14543286C212yesmaximal, complemented
8#14543285C212yesmaximal, complemented
9#14543284C214yesmaximal, complemented
10#14543283C212yesmaximal, complemented
11#14543282C214yesmaximal, complemented
12#14543281C212yesmaximal, complemented
13#14543280C214yesmaximal, complemented
14D17×#563C214yesmaximal, complemented
15D17×#559C212yesmaximal, complemented
16D17×#557C212yesmaximal, complemented
17D17×#556C212yesmaximal, complemented
18D17×#554C212yesmaximal, complemented
19D17×#552C214yesmaximal, complemented
20D17×#542C214yesmaximal, complemented
21D17×#542C212yesmaximal, complemented
22D17×#541C211yesmaximal, characteristic, complemented
23D17×#540C211yesmaximal, characteristic
24D17×#539C214yesmaximal, complemented
25D17×#533C211yesmaximal, characteristic, complemented
26D17×#529C212yesmaximal, complemented
27C17×#3557C211yesmaximal, characteristic, complemented
28#11763563C2214yescomplemented
29#11763563C2214yescomplemented
30#11763562C2214yescomplemented
31#11763562C2214yescomplemented
32#11763561C2214yescomplemented
33#11763561C2214yescomplemented
34#11763561C2214yescomplemented
35#11763561C2214yescomplemented
36#11763560C2214yescomplemented
37#11763560C2214yescomplemented
38#11763560C2214yescomplemented
39#11763560C2214yescomplemented
40#11763559C2214yescomplemented
41#11763558C2214yescomplemented
42#11763558C2214yescomplemented
43#11763545C2212yescomplemented
44#11763544C2212yescomplemented
45#11763544C2212yescomplemented
46#11763543C2214yescomplemented
47#11763543C2214yescomplemented
48#11763542C2214yescomplemented
49#11763542C2212yescomplemented
50#11763542C2212yescomplemented
51#11763541C2214yescomplemented
52#11763541C2212yescomplemented
53#11763541C2212yescomplemented
54#11763538C2212yescomplemented
55#11763537C2214yescomplemented
56#11763537C2212yescomplemented
57#11763536C2214yescomplemented
58#11763536C2214yescomplemented
59#11763536C2212yescomplemented
60#11763536C2212yescomplemented
61#11763535C2212yescomplemented
62#11763535C2212yescomplemented
63#11763534C2214yescomplemented
64#11763534C2212yescomplemented
65#11763533C2212yescomplemented
66#11763532C2212yescomplemented
67#11763531C2212yescomplemented
68#11763531C2212yescomplemented
69#11763530C2214yescomplemented
70#11763529C2212yescomplemented
71#11763528C2212yescomplemented
72#11763528C2212yescomplemented
73#11763527C2214yescomplemented
74#11763526C2214yescomplemented
75#11763526C2214yescomplemented
76#11763520C2212yescomplemented
77#11763519C2212yescomplemented
78#11763518C2212yescomplemented
79#11763518C2212yescomplemented
80#11763517C2214yescomplemented
81#11763516C2212yescomplemented
82#11763515C2212yescomplemented
83#11763515C2212yescomplemented
84#11763514C2214yescomplemented
85#11763513C2214yescomplemented
86#11763513C2214yescomplemented
87#11763501C2214yescomplemented
88#11763500C2214yescomplemented
89#11763499C2214yescomplemented
90#11763498C2214yescomplemented
91#11763497C2214yescomplemented
92#11763496C2214yescomplemented
93#11763496C2214yescomplemented
94#11763495C2214yescomplemented
95#11763495C2214yescomplemented
96#11763494C2214yescomplemented
97#11763493C2214yescomplemented
98#11763492C2214yescomplemented
99#11763492C2214yescomplemented
100#11763491C2214yescomplemented
101#11763491C2214yescomplemented
102#11763433C2214yescomplemented
103#11763433C2212yescomplemented
104#11763432C2214yescomplemented
105#11763432C2212yescomplemented
106#11763431C2214yescomplemented
107#11763431C2212yescomplemented
108#11763430C2214yescomplemented
109#11763430C2212yescomplemented
110#11763429C2214yescomplemented
111#11763429C2214yescomplemented
112#11763429C2214yescomplemented
113#11763428C2212yescomplemented
114#11763428C2214yescomplemented
115#11763427C2214yescomplemented
116#11763427C2214yescomplemented
117#11763427C2214yescomplemented
118#11763426C2212yescomplemented
119#11763426C2214yescomplemented
120#11763425C2214yescomplemented
121#11763425C2214yescomplemented
122#11763425C2214yescomplemented
123#11763424C2212yescomplemented
124#11763424C2214yescomplemented
125#11763423C2214yescomplemented
126#11763423C2214yescomplemented
127#11763423C2214yescomplemented
128#11763422C2211yescharacteristic, complemented
129#11763421C2211yescharacteristic, complemented
130#11763420C2211yescharacteristic, complemented
131#11763419C2212yescomplemented
132#11763418C2214yescomplemented
133#11763417C2212yescomplemented
134#11763416C2214yescomplemented
135#11763415C2211yescharacteristic
136#11763414C2211yescharacteristic
137#11763413C2211yescharacteristic
138#11763412C2212yes—
139#11763411C2214yes—
140#11763410C2212yes—
141#11763409C2214yes—
142#11763408C2214yescomplemented
143#11763407C2214yescomplemented
144#11763407C2214yescomplemented
145#11763406C2214yescomplemented
146#11763405C2214yescomplemented
147#11763405C2214yescomplemented
148#11763404C2214yescomplemented
149#11763403C2214yescomplemented
150#11763403C2214yescomplemented
151#11763402C2214yescomplemented
152#11763402C2214yescomplemented
153#11763401C2214yescomplemented
154#11763401C2214yescomplemented
155#11763400C2214yescomplemented
156#11763400C2214yescomplemented
157#11763366C2211yescharacteristic, complemented
158#11763365C2212yescomplemented
159#11763364C2212yescomplemented
160#11763363C2212yescomplemented
161#11763363C2212yescomplemented
162#11763362C2211yescharacteristic, complemented
163#11763362C2211yescharacteristic, complemented
164#11763361C2212yescomplemented
165#11763361C2212yescomplemented
166C4⋊Q8×D17C2214yes—
167C4⋊Q8×D17C2212yes—
168C4⋊Q8×D17C2212yes—
169C4⋊Q8×D17C2211yescharacteristic
170#127×D17C2211yescharacteristic
171#11763346C2212yescomplemented
172#11763345C2212yescomplemented
173#11763344C2212yescomplemented
174#11763343C2212yescomplemented
175#11763342C2214yescomplemented
176#11763341C2212yescomplemented
177#11763340C2212yescomplemented
178#11763339C2214yescomplemented
179#11763338C2212yescomplemented
180#11763337C2214yescomplemented
181#11763336C2214yescomplemented
182#126×D17C2214yes—
183#126×D17C2214yes—
184#126×D17C2214yes—
185#126×D17C2214yes—
186#126×D17C2214yes—
187#125×D17C2211yescharacteristic
188#125×D17C2214yes—
189#125×D17C2214yes—
190#125×D17C2212yes—
191#125×D17C2214yes—
192#125×D17C2211yescharacteristic
193#125×D17C2212yes—
194#124×D17C2214yes—
195#124×D17C2212yes—
196#124×D17C2212yes—
197#124×D17C2214yes—
198#123×D17C2214yes—
199#123×D17C2214yes—
200#123×D17C2214yes—
201#123×D17C2214yes—
202#123×D17C2214yes—
203C22⋊Q8×D17C2212yes—
204C22⋊Q8×D17C2214yes—
205C22⋊Q8×D17C2214yes—
206C22⋊Q8×D17C2214yes—
207C22⋊Q8×D17C2214yes—
208C22⋊Q8×D17C2212yes—
209C22⋊Q8×D17C2212yes—
210C22⋊Q8×D17C2214yes—
211#121×D17C2214yes—
212#121×D17C2212yes—
213C4×Q8×D17C2212yes—
214C4×Q8×D17C2212yes—
215C4×Q8×D17C2214yes—
216C4×Q8×D17C2212yes—
217C4×Q8×D17C2212yes—
218C4×Q8×D17C2212yes—
219C4×D4×D17C2214yes—
220C4×D4×D17C2212yes—
221C4×D4×D17C2212yes—
222C4×D4×D17C2214yes—
223C4×D4×D17C2212yes—
224#117×D17C2211yescharacteristic
225#117×D17C2211yescharacteristic
226#117×D17C2214yes—
227#117×D17C2214yes—
228C2×C4⋊C4×D17C2214yes—
229C2×C42×D17C2211yescharacteristic
230C17×#563C2214yescomplemented
231C17×#559C2212yescomplemented
232C17×#557C2212yescomplemented
233C17×#556C2212yescomplemented
234C17×#554C2212yescomplemented
235C17×#552C2214yescomplemented
236C17×#542C2214yescomplemented
237C17×#542C2212yescomplemented
238C17×#541C2211yescharacteristic, complemented
239C17×#540C2211yescharacteristic
240C17×#539C2214yescomplemented
241C17×#533C2211yescharacteristic, complemented
242C17×#529C2212yescomplemented
243C2×Q8×D17C2312yes—
244C2×Q8×D17C2312yes—
245C2×Q8×D17C2314yes—
246C2×Q8×D17C2312yes—
247C2×D4×D17C2312yes—
248C2×D4×D17C2314yes—
249C2×D4×D17C2314yes—
250C22×C4×D17C2311yescharacteristic
251C22×C4×D17C2312yes—
252C22×C4×D17C2314yes—
253C22×C4×D17C2314yes—
254C22×C4×D17C2314yes—
255C17×C4⋊Q8C2312yes—
256C17×C4⋊Q8C2311yescharacteristic
257C17×C4⋊Q8C2312yes—
258C17×C4⋊Q8C2314yes—
259C17×#127C2311yescharacteristic
260C17×#126C2314yes—
261C17×#126C2314yes—
262C17×#126C2314yes—
263C17×#126C2314yes—
264C17×#126C2314yes—
265C17×#125C2312yes—
266C17×#125C2314yes—
267C17×#125C2312yes—
268C17×#125C2314yes—
269C17×#125C2314yes—
270C17×#125C2311yescharacteristic
271C17×#125C2311yescharacteristic
272C17×#124C2312yes—
273C17×#124C2314yes—
274C17×#124C2312yes—
275C17×#124C2314yes—
276C17×#123C2314yes—
277C17×#123C2314yes—
278C17×#123C2314yes—
279C17×#123C2314yes—
280C17×#123C2314yes—
281C17×C22⋊Q8C2314yes—
282C17×C22⋊Q8C2312yes—
283C17×C22⋊Q8C2312yes—
284C17×C22⋊Q8C2312yes—
285C17×C22⋊Q8C2314yes—
286C17×C22⋊Q8C2314yes—
287C17×C22⋊Q8C2314yes—
288C17×C22⋊Q8C2314yes—
289C17×#121C2312yes—
290C17×#121C2314yes—
291C4×Q8×C17C2312yes—
292C4×Q8×C17C2312yes—
293C4×Q8×C17C2312yes—
294C4×Q8×C17C2314yes—
295C4×Q8×C17C2312yes—
296C4×Q8×C17C2312yes—
297C4×D4×C17C2314yes—
298C4×D4×C17C2312yes—
299C4×D4×C17C2314yes—
300C4×D4×C17C2312yes—
301C4×D4×C17C2312yes—
302C17×#117C2314yes—
303C17×#117C2314yes—
304C17×#117C2311yescharacteristic
305C17×#117C2311yescharacteristic
306C2×C4⋊C4×C17C2314yes—
307C2×C42×C17C2311yescharacteristic
308#10587633C2312yes—
309#10587633C2312yes—
310#10587633C2314yes—
311#10587633C2314yes—
312#10587632C2314yes—
313#10587632C2314yes—
314#10587632C2314yes—
315#10587632C2314yes—
316#10587632C2314yes—
317#10587632C2312yes—
318#10587632C2312yes—
319#10587632C2312yes—
320Q8×Dic17C2314yes—
321Q8×Dic17C2312yes—
322Q8×Dic17C2312yes—
323Q8×Dic17C2312yes—
324Q8×Dic17C2312yes—
325Q8×Dic17C2312yes—
326#10587630C2314yes—
327#10587630C2312yes—
328#10587630C2314yes—
329#10587630C2314yes—
330#10587630C2312yes—
331#10587630C2312yes—
332#10587626C2312yes—
333#10587626C2314yes—
334#10587625C2314yes—
335#10587625C2314yes—
336#10587625C2314yes—
337#10587624C2312yes—
338#10587624C2314yes—
339#10587622C2312yes—
340#10587622C2312yes—
341#10587622C2314yes—
342#10587622C2314yes—
343#10587621C2314yes—
344#10587621C2314yes—
345#10587621C2314yes—
346#10587621C2314yes—
347#10587621C2314yes—
348D4×Dic17C2314yes—
349D4×Dic17C2312yes—
350D4×Dic17C2312yes—
351D4×Dic17C2312yes—
352D4×Dic17C2314yes—
353#10587616C2312yes—
354#10587616C2314yes—
355#10587615C2314yes—
356#10587615C2314yes—
357#10587615C2314yes—
358#10587615C2314yes—
359#10587615C2314yes—
360C4×C22⋊D17C2314yes—
361C4×C22⋊D17C2314yes—
362C4×C22⋊D17C2314yes—
363C4×C22⋊D17C2314yes—
364C4×C22⋊D17C2314yes—
365C4×C22⋊D17C2314yes—
366C4×C22⋊D17C2314yes—
367#10587612C2314yes—
368#10587612C2314yes—
369#10587612C2311yescharacteristic
370#10587612C2311yescharacteristic
371C2×C4⋊Dic17C2314yes—
372#10587610C2314yes—
373#10587610C2314yes—
374#10587610C2314yes—
375#10587610C2314yes—
376#10587610C2314yes—
377#10587610C2312yes—
378#10587610C2312yes—
379#10587610C2312yes—
380C2×#63225C2314yes—
381C2×#63225C2314yes—
382C2×C4×Dic17C2312yes—
383C2×C4×Dic17C2311yescharacteristic
384#10587584C2314yes—
385#10587584C2314yes—
386#10587584C2314yes—
387#10587584C2314yes—
388#10587584C2314yes—
389#10587584C2314yes—
390#10587584C2314yes—
391#10587584C2314yes—
392#10587584C2314yes—
393#10587584C2314yes—
394#10587584C2314yes—
395#10587584C2314yes—
396#10587584C2314yes—
397#10587584C2314yes—
398#10587584C2314yes—
399#10587583C2314yes—
400#10587583C2314yes—
401#10587583C2314yes—
402#10587583C2314yes—
403#10587583C2314yes—
404#10587583C2312yes—
405#10587583C2312yes—
406#10587583C2312yes—
407#10587582C2314yes—
408#10587582C2314yes—
409#10587582C2314yes—
410#10587582C2314yes—
411#10587582C2314yes—
412#10587582C2314yes—
413#10587582C2314yes—
414#10587582C2314yes—
415#10587582C2314yes—
416#10587582C2314yes—
417#10587582C2314yes—
418#10587582C2312yes—
419#10587582C2312yes—
420#10587582C2312yes—
421#10587582C2312yes—
422#10587581C2312yes—
423#10587581C2314yes—
424#10587580C2314yes—
425#10587580C2314yes—
426#10587580C2314yes—
427#10587580C2314yes—
428#10587580C2314yes—
429#10587580C2314yes—
430#10587580C2314yes—
431#10587580C2314yes—
432#10587580C2314yes—
433#10587580C2314yes—
434#10587579C2314yes—
435#10587579C2312yes—
436#10587579C2312yes—
437#10587579C2312yes—
438#10587579C2314yes—
439#10587578C2314yes—
440#10587578C2314yes—
441#10587578C2314yes—
442#10587578C2314yes—
443#10587578C2312yes—
444#10587578C2312yes—
445C4⋊C4×D17C2314yes—
446C4⋊C4×D17C2314yes—
447C4⋊C4×D17C2314yes—
448C4⋊C4×D17C2314yes—
449C4⋊C4×D17C2312yes—
450C4⋊C4×D17C2314yes—
451C4⋊C4×D17C2314yes—
452C4⋊C4×D17C2314yes—
453C4⋊C4×D17C2312yes—
454C4⋊C4×D17C2314yes—
455C4⋊C4×D17C2312yes—
456C4⋊C4×D17C2314yes—
457C4⋊C4×D17C2312yes—
458C4⋊C4×D17C2312yes—
459C4⋊C4×D17C2312yes—
460C4⋊C4×D17C2312yes—
461C4⋊C4×D17C2314yes—
462C4⋊C4×D17C2312yes—
463C4⋊C4×D17C2314yes—
464C4⋊C4×D17C2312yes—
465C4⋊C4×D17C2314yes—
466C4⋊C4×D17C2312yes—
467C4⋊C4×D17C2314yes—
468C4⋊C4×D17C2314yes—
469#10587576C2314yes—
470#10587576C2312yes—
471#10587576C2314yes—
472#10587576C2312yes—
473#10587576C2314yes—
474#10587576C2314yes—
475#10587576C2312yes—
476#10587576C2312yes—
477#10587576C2312yes—
478#10587576C2312yes—
479#10587576C2314yes—
480#10587576C2314yes—
481#10587575C2312yes—
482#10587575C2314yes—
483#10587575C2314yes—
484#10587575C2314yes—
485#10587575C2312yes—
486#10587575C2314yes—
487#10587575C2314yes—
488#10587575C2314yes—
489#10587575C2312yes—
490#10587575C2314yes—
491#10587575C2312yes—
492#10587575C2314yes—
493#10587575C2314yes—
494#10587575C2314yes—
495#10587575C2314yes—
496#10587575C2314yes—
497#10587575C2314yes—
498#10587575C2314yes—
499#10587575C2314yes—
500#10587575C2314yes—
501#10587574C2314yes—
502#10587574C2312yes—
503#10587574C2312yes—
504#10587574C2314yes—
505#10587574C2314yes—
506#10587574C2314yes—
507#10587574C2314yes—
508#10587574C2314yes—
509#10587574C2312yes—
510#10587574C2312yes—
511#10587574C2312yes—
512#10587574C2312yes—
513#10587573C2314yes—
514#10587573C2314yes—
515#10587573C2314yes—
516#10587573C2312yes—
517#10587573C2312yes—
518#10587573C2312yes—
519#10587573C2314yes—
520#10587573C2314yes—
521#10587573C2312yes—
522#10587573C2312yes—
523#10587573C2312yes—
524#10587573C2314yes—
525#10587573C2312yes—
526#10587573C2312yes—
527#10587573C2312yes—
528#10587572C2314yes—
529#10587572C2314yes—
530#10587572C2314yes—
531#10587572C2314yes—
532#10587572C2314yes—
533#10587571C2314yes—
534#10587571C2314yes—
535#10587571C2314yes—
536#10587571C2314yes—
537#10587571C2314yes—
538#10587571C2314yes—
539#10587571C2314yes—
540#10587571C2314yes—
541#10587571C2314yes—
542#10587571C2314yes—
543#10587571C2314yes—
544#10587571C2314yes—
545#10587570C2314yes—
546#10587570C2314yes—
547#10587570C2314yes—
548#10587569C2314yes—
549#10587569C2314yes—
550#10587569C2314yes—
551#10587569C2314yes—
552#10587569C2314yes—
553#10587569C2314yes—
554#10587569C2314yes—
555#10587569C2314yes—
556#10587569C2314yes—
557#10587569C2314yes—
558#10587567C2314yes—
559#10587567C2314yes—
560#10587567C2314yes—
561#10587567C2314yes—
562#10587567C2314yes—
563#10587567C2314yes—
564#10587567C2314yes—
565C22⋊C4×D17C2314yes—
566C22⋊C4×D17C2312yes—
567C22⋊C4×D17C2314yes—
568C22⋊C4×D17C2311yescharacteristic
569C22⋊C4×D17C2311yescharacteristic
570C22⋊C4×D17C2314yes—
571C22⋊C4×D17C2314yes—
572C22⋊C4×D17C2314yes—
573C22⋊C4×D17C2314yes—
574C22⋊C4×D17C2314yes—
575C22⋊C4×D17C2314yes—
576C22⋊C4×D17C2314yes—
577#10587565C2314yes—
578#10587565C2314yes—
579#10587565C2314yes—
580#10587565C2314yes—
581#10587565C2314yes—
582#10587565C2314yes—
583#10587565C2314yes—
584#10587565C2314yes—
585#10587565C2314yes—
586#10587565C2314yes—
587#10587565C2314yes—
588#10587565C2314yes—
589#10587565C2314yes—
590#10587565C2314yes—
591#10587565C2314yes—
592#10587564C2314yes—
593#10587564C2314yes—
594#10587564C2314yes—
595#10587564C2314yes—
596#10587564C2314yes—
597#10587564C2314yes—
598#10587564C2314yes—
599#10587564C2314yes—
600#10587564C2314yes—
601#10587564C2314yes—
602#10587564C2314yes—
603#10587564C2312yes—
604#10587564C2312yes—
605#10587564C2312yes—
606#10587564C2312yes—
607#10587563C2314yes—
608#10587563C2314yes—
609#10587563C2314yes—
610#10587563C2314yes—
611#10587563C2312yes—
612#10587563C2311yescharacteristic
613#10587563C2311yescharacteristic
614#10587562C2314yes—
615#10587562C2314yes—
616#10587562C2314yes—
617#10587562C2314yes—
618#10587562C2314yes—
619#10587561C2312yes—
620#10587561C2312yes—
621#10587561C2314yes—
622#10587561C2314yes—
623#10587560C2311yescharacteristic
624C4×D68C2314yes—
625C4×D68C2312yes—
626C4×D68C2312yes—
627C4×D68C2312yes—
628C4×D68C2314yes—
629#10587558C2314yes—
630#10587558C2314yes—
631#10587558C2314yes—
632#10587558C2314yes—
633#10587558C2311yescharacteristic
634#10587558C2311yescharacteristic
635#10587558C2312yes—
636C42×D17C2311yescharacteristic
637C42×D17C2312yes—
638C42×D17C2311yescharacteristic
639C42×D17C2311yescharacteristic
640C42×D17C2312yes—
641C42×D17C2311yescharacteristic
642C42×D17C2314yes—
643C42×D17C2311yescharacteristic
644C42×D17C2312yes—
645C42×D17C2311yescharacteristic
646C42×D17C2314yes—
647C42×D17C2314yes—
648#10587556C2312yes—
649#10587556C2314yes—
650#10587556C2314yes—
651#10587556C2311yescharacteristic
652#10587556C2312yes—
653#10587556C2311yescharacteristic
654#10587556C2314yes—
655#10587555C2312yes—
656#10587555C2311yescharacteristic
657#10587555C2314yes—
658#10587555C2312yes—
659C4×Dic34C2314yes—
660C4×Dic34C2314yes—
661C4×Dic34C2314yes—
662C4×Dic34C2312yes—
663C4×Dic34C2312yes—
664C4×Dic34C2312yes—
665C4×Dic34C2314yes—
666C4×Dic34C2314yes—
667C4×Dic34C2312yes—
668C4×Dic34C2312yes—
669C4×Dic34C2312yes—
670C4×Dic34C2312yes—
671C4×Dic34C2312yes—
672C4×Dic34C2314yes—
673C4×Dic34C2312yes—
674C23×D17C2411yescharacteristic
675C23×D17C2414yes—
676C2×Q8×C17C2412yes—
677C2×Q8×C17C2412yes—
678C2×Q8×C17C2414yes—
679C2×Q8×C17C2412yes—
680C2×D4×C17C2412yes—
681C2×D4×C17C2414yes—
682C2×D4×C17C2414yes—
683C22×C4×C17C2411yescharacteristic
684C22×C4×C17C2412yes—
685C22×C4×C17C2414yes—
686C22×C4×C17C2414yes—
687C22×C4×C17C2414yes—
688C2×C22⋊D17C2414yes—
689C2×C22⋊D17C2414yes—
690C2×C22⋊D17C2414yes—
691C2×C22⋊D17C2414yes—
692C2×C22⋊D17C2414yes—
693C22×Dic17C2411yescharacteristic
694C22×Dic17C2414yes—
695C22×Dic17C2414yes—
696C22×Dic17C2412yes—
697C22×Dic17C2414yes—
698Q8×D17—28no—
699Q8×D17—44no—
700Q8×D17—48no—
701Q8×D17—44no—
702D4×D17—28no—
703D4×D17—48no—
704D4×D17—48no—
705C2×D68C2412yes—
706C2×D68C2414yes—
707C2×D68C2414yes—
708C2×C4×D17—24no—
709C2×C4×D17—48no—
710C2×C4×D17—44no—
711C2×C4×D17—48no—
712C2×C4×D17—48no—
713C2×C4×D17C2412yes—
714C2×C4×D17C2414yes—
715C2×C4×D17C2412yes—
716C2×C4×D17C2412yes—
717C2×C4×D17C2414yes—
718C2×C4×D17C2412yes—
719C2×C4×D17C2411yescharacteristic
720C2×C4×D17C2411yescharacteristic
721C2×C4×D17C2411yescharacteristic
722C2×C4×D17C2412yes—
723C2×C4×D17C2412yes—
724C2×C4×D17C2414yes—
725C2×C4×D17C2412yes—
726C2×C4×D17C2412yes—
727C2×C4×D17C2414yes—
728C2×C4×D17C2414yes—
729C2×C4×D17C2414yes—
730C2×C4×D17C2414yes—
731C2×C4×D17C2414yes—
732C2×C4×D17C2414yes—
733C2×C4×D17C2411yescharacteristic
734C2×Dic34C2412yes—
735C2×Dic34C2414yes—
736C2×Dic34C2414yes—
737C2×Dic34C2412yes—
738C2×Dic34C2412yes—
739C2×Dic34C2412yes—
740C2×Dic34C2412yes—
741C2×Dic34C2414yes—
742C2×Dic34C2412yes—
743C2×Dic34C2412yes—
744C2×Dic34C2414yes—
745C4⋊C4×C17C2414yes—
746C4⋊C4×C17C2412yes—
747C4⋊C4×C17C2412yes—
748C4⋊C4×C17C2414yes—
749C4⋊C4×C17C2414yes—
750C4⋊C4×C17C2414yes—
751C4⋊C4×C17C2412yes—
752C4⋊C4×C17C2412yes—
753C4⋊C4×C17C2412yes—
754C4⋊C4×C17C2414yes—
755C4⋊C4×C17C2414yes—
756C4⋊C4×C17C2414yes—
757C4⋊C4×C17C2412yes—
758C4⋊C4×C17C2412yes—
759C4⋊C4×C17C2414yes—
760C4⋊C4×C17C2412yes—
761C4⋊C4×C17C2412yes—
762C4⋊C4×C17C2414yes—
763C4⋊C4×C17C2414yes—
764C4⋊C4×C17C2412yes—
765C22⋊C4×C17C2411yescharacteristic
766C22⋊C4×C17C2414yes—
767C22⋊C4×C17C2414yes—
768C22⋊C4×C17C2414yes—
769C22⋊C4×C17C2411yescharacteristic
770C22⋊C4×C17C2412yes—
771C22⋊C4×C17C2414yes—
772C22⋊C4×C17C2414yes—
773C22⋊C4×C17C2414yes—
774C22⋊C4×C17C2414yes—
775C22⋊C4×C17C2414yes—
776C22⋊C4×C17C2414yes—
777C42×C17C2414yes—
778C42×C17C2412yes—
779C42×C17C2414yes—
780C42×C17C2412yes—
781C42×C17C2411yescharacteristic
782C42×C17C2414yes—
783C42×C17C2411yescharacteristic
784C42×C17C2411yescharacteristic
785C42×C17C2411yescharacteristic
786C22⋊Dic17C2414yes—
787C22⋊Dic17C2412yes—
788C22⋊Dic17C2411yescharacteristic
789C22⋊Dic17C2411yescharacteristic
790C22⋊Dic17C2414yes—
791C22⋊Dic17C2414yes—
792C22⋊Dic17C2414yes—
793C22⋊Dic17C2414yes—
794C22⋊Dic17C2414yes—
795C22⋊Dic17C2414yes—
796C22⋊Dic17C2414yes—
797C22⋊Dic17C2414yes—
798#63227C2414yes—
799#63227C2414yes—
800#63227C2414yes—
801#63227C2412yes—
802#63227C2414yes—
803#63227C2412yes—
804#63227C2414yes—
805#63227C2414yes—
806#63227C2412yes—
807#63227C2412yes—
808#63227C2414yes—
809#63227C2414yes—
810#63227C2414yes—
811#63227C2414yes—
812#63227C2414yes—
813#63227C2414yes—
814#63227C2414yes—
815#63227C2414yes—
816#63227C2414yes—
817#63227C2414yes—
818#63227C2414yes—
819#63227C2414yes—
820C4⋊Dic17C2412yes—
821C4⋊Dic17C2412yes—
822C4⋊Dic17C2412yes—
823C4⋊Dic17C2414yes—
824C4⋊Dic17C2414yes—
825C4⋊Dic17C2412yes—
826C4⋊Dic17C2412yes—
827C4⋊Dic17C2414yes—
828C4⋊Dic17C2414yes—
829C4⋊Dic17C2412yes—
830C4⋊Dic17C2412yes—
831C4⋊Dic17C2412yes—
832C4⋊Dic17C2414yes—
833C4⋊Dic17C2412yes—
834C4⋊Dic17C2412yes—
835C4⋊Dic17C2414yes—
836C4⋊Dic17C2414yes—
837C4⋊Dic17C2414yes—
838C4⋊Dic17C2414yes—
839C4⋊Dic17C2414yes—
840#63225C2412yes—
841#63225C2412yes—
842#63225C2414yes—
843#63225C2412yes—
844#63225C2414yes—
845#63225C2412yes—
846#63225C2414yes—
847#63225C2412yes—
848#63225C2412yes—
849#63225C2414yes—
850#63225C2414yes—
851#63225C2412yes—
852#63225C2414yes—
853#63225C2412yes—
854#63225C2414yes—
855#63225C2414yes—
856#63225C2414yes—
857#63225C2412yes—
858#63225C2412yes—
859#63225C2414yes—
860#63225C2414yes—
861#63225C2412yes—
862#63225C2412yes—
863#63225C2414yes—
864#63225C2412yes—
865#63225C2414yes—
866#63225C2414yes—
867#63225C2414yes—
868#63225C2414yes—
869#63225C2414yes—
870#63225C2414yes—
871#63225C2414yes—
872#63225C2412yes—
873#63225C2414yes—
874#63225C2414yes—
875#63225C2412yes—
876#63225C2412yes—
877#63225C2414yes—
878C4×Dic17C2412yes—
879C4×Dic17C2411yescharacteristic
880C4×Dic17C2412yes—
881C4×Dic17C2411yescharacteristic
882C4×Dic17C2412yes—
883C4×Dic17C2414yes—
884C4×Dic17C2414yes—
885C4×Dic17C2414yes—
886C4×Dic17C2414yes—
887C4×Dic17C2412yes—
888C4×Dic17C2412yes—
889C4×Dic17C2414yes—
890C4×Dic17C2414yes—
891C4×Dic17C2412yes—
892C4×Dic17C2411yescharacteristic
893C4×Dic17C2411yescharacteristic
894C4×Dic17C2412yes—
895C4×Dic17C2412yes—
896C4×Dic17C2414yes—
897C4×Dic17C2414yes—
898C4×Dic17C2412yes—
899C4×Dic17C2412yes—
900C4×Dic17C2414yes—
901C2×#3557—171nomaximal, Sylow
902C23×C17C2511yescharacteristic
903C23×C17C2514yes—
904C22×D17—22no—
905C22×D17—28no—
906C22×D17—28no—
907C22×D17—24no—
908C22×D17—28no—
909C22×D17C2511yescharacteristic
910C22×D17C2514yes—
911C22×D17C2511yescharacteristic
912Q8×C17—24no—
913Q8×C17—42no—
914Q8×C17—44no—
915Q8×C17—42no—
916D4×C17—24no—
917D4×C17—44no—
918D4×C17—44no—
919C2×C4×C17—22no—
920C2×C4×C17—42no—
921C2×C4×C17—44no—
922C2×C4×C17—44no—
923C2×C4×C17—44no—
924C2×C4×C17C2512yes—
925C2×C4×C17C2514yes—
926C2×C4×C17C2512yes—
927C2×C4×C17C2512yes—
928C2×C4×C17C2511yescharacteristic
929C2×C4×C17C2512yes—
930C2×C4×C17C2514yes—
931C2×C4×C17C2514yes—
932C2×C4×C17C2512yes—
933C2×C4×C17C2512yes—
934C2×C4×C17C2511yescharacteristic
935C22⋊D17—28no—
936C22⋊D17—44no—
937C22⋊D17—44no—
938C22⋊D17—44no—
939C22⋊D17—44no—
940C2×Dic17—22no—
941C2×Dic17—42no—
942C2×Dic17—44no—
943C2×Dic17—44no—
944C2×Dic17—44no—
945C2×Dic17C2512yes—
946C2×Dic17C2514yes—
947C2×Dic17C2512yes—
948C2×Dic17C2511yescharacteristic
949C2×Dic17C2512yes—
950C2×Dic17C2512yes—
951C2×Dic17C2514yes—
952C2×Dic17C2514yes—
953C2×Dic17C2512yes—
954C2×Dic17C2512yes—
955C2×Dic17C2511yescharacteristic
956D68—24no—
957D68—44no—
958D68—44no—
959C4×D17—22no—
960C4×D17—28no—
961C4×D17—24no—
962C4×D17—28no—
963C4×D17—24no—
964C4×D17—24no—
965C4×D17—28no—
966C4×D17—24no—
967C4×D17—24no—
968C4×D17—24no—
969C4×D17—22no—
970C4×D17—22no—
971C4×D17—42no—
972C4×D17—44no—
973C4×D17—44no—
974C4×D17—44no—
975C4×D17—44no—
976C4×D17—44no—
977C4×D17—42no—
978C4×D17—44no—
979C4×D172−1+414yes—
980Dic34—24no—
981Dic34—28no—
982Dic34—42no—
983Dic34—44no—
984Dic34—44no—
985Dic34—42no—
986Dic34—42no—
987Dic34—42no—
988Dic34—42no—
989Dic34—42no—
990Dic34—44no—
991#3557—174no—
992#3557—172no—
993#3557—172no—
994#3557—172no—
995#3557—172no—
996#3557—174no—
997#3557—174no—
998#3557—172no—
999#3557—171no—
1000#3557—171no—
1001#3557—174no—
1002#3557—171no—
1003#3557—172no—
1004#3557D1711yescharacteristic, direct product factor
1005C2×#563—174no—
1006C2×#559—172no—
1007C2×#557—172no—
1008C2×#556—172no—
1009C2×#554—172no—
1010C2×#552—174no—
1011C2×#542—172no—
1012C2×#542—174no—
1013C2×#541—171no—
1014C2×#540—171no—
1015C2×#539—174no—
1016C2×#533—171no—
1017C2×#529—172no—
1018C22×C17—21no—
1019C22×C17—24no—
1020C22×C17—24no—
1021C22×C17—22no—
1022C22×C17—24no—
1023C22×C17C2611yescharacteristic
1024C2×D17—21no—
1025C2×D17—24no—
1026C2×D17—24no—
1027C2×D17—22no—
1028C2×D17—24no—
1029C2×D17—44no—
1030C2×D17—416no—
1031C2×D17C2×2−1+412yes—
1032C2×D17#58514yes—
1033C4×C17—24no—
1034C4×C17—21no—
1035C4×C17—22no—
1036C4×C17—22no—
1037C4×C17—24no—
1038C4×C17—22no—
1039C4×C17—22no—
1040C4×C17—24no—
1041C4×C17—22no—
1042C4×C17—22no—
1043C4×C17C2×2−1+412yes—
1044Dic17—24no—
1045Dic17—21no—
1046Dic17—22no—
1047Dic17—22no—
1048Dic17—24no—
1049Dic17—22no—
1050Dic17—22no—
1051Dic17—24no—
1052Dic17—22no—
1053Dic17—22no—
1054Dic17C2×2−1+412yes—
1055#563—174no—
1056#563—174no—
1057#563—174no—
1058#563—174no—
1059#563—174no—
1060#563—174no—
1061#563—174no—
1062#563—174no—
1063#563—174no—
1064#563—174no—
1065#563—174no—
1066#563—174no—
1067#563—174no—
1068#563—174no—
1069#563—174no—
1070#563C2×D1714yescomplemented
1071#559—172no—
1072#559—172no—
1073#559—174no—
1074#559—172no—
1075#559—174no—
1076#559—174no—
1077#559—172no—
1078#559—172no—
1079#559—174no—
1080#559—172no—
1081#559—172no—
1082#559C2×D1712yescomplemented
1083#557—174no—
1084#557—172no—
1085#557—174no—
1086#557—172no—
1087#557—174no—
1088#557—172no—
1089#557—172no—
1090#557—172no—
1091#557—174no—
1092#557—172no—
1093#557—172no—
1094#557C2×D1712yescomplemented
1095#556—172no—
1096#556—174no—
1097#556—174no—
1098#556—172no—
1099#556—172no—
1100#556—174no—
1101#556—172no—
1102#556—172no—
1103#556—172no—
1104#556—172no—
1105#556—174no—
1106#556C2×D1712yescomplemented
1107#554—172no—
1108#554—172no—
1109#554—172no—
1110#554—174no—
1111#554—174no—
1112#554—174no—
1113#554—172no—
1114#554—172no—
1115#554—172no—
1116#554—172no—
1117#554—174no—
1118#554C2×D1712yescomplemented
1119#552—174no—
1120#552—174no—
1121#552—174no—
1122#552—174no—
1123#552—174no—
1124#552—174no—
1125#552—174no—
1126#552—174no—
1127#552—174no—
1128#552—174no—
1129#552—174no—
1130#552—174no—
1131#552—174no—
1132#552—174no—
1133#552—174no—
1134#552C2×D1714yescomplemented
1135#542—172no—
1136#542—174no—
1137#542—174no—
1138#542—174no—
1139#542—174no—
1140#542—174no—
1141#542—174no—
1142#542—174no—
1143#542—172no—
1144#542—174no—
1145#542—174no—
1146#542—174no—
1147#542—174no—
1148#542—174no—
1149#542—174no—
1150#542—174no—
1151#542—172no—
1152#542—174no—
1153#542—172no—
1154#542—174no—
1155#542—172no—
1156#542—174no—
1157#542—172no—
1158#542—174no—
1159#542—172no—
1160#542—174no—
1161#542C2×D1712yescomplemented
1162#542C2×D1714yescomplemented
1163#541—171no—
1164#541—174no—
1165#541—174no—
1166#541—171no—
1167#541—172no—
1168#541—172no—
1169#541—171no—
1170#541C2×D1711yescharacteristic, complemented
1171#540—171no—
1172#540—171no—
1173#540—174no—
1174#540—174no—
1175#540—172no—
1176#540—172no—
1177#540—171no—
1178#540C2×D1711yescharacteristic
1179#539—174no—
1180#539—174no—
1181#539—174no—
1182#539—174no—
1183#539—174no—
1184#539—174no—
1185#539—174no—
1186#539—174no—
1187#539—174no—
1188#539—174no—
1189#539—174no—
1190#539—174no—
1191#539—174no—
1192#539—174no—
1193#539—174no—
1194#539C2×D1714yescomplemented
1195#533—172no—
1196#533—172no—
1197#533—172no—
1198#533—172no—
1199#533—172no—
1200#533—172no—
1201#533—171no—
1202#533—171no—
1203#533—171no—
1204#533C2×D1711yescharacteristic, complemented
1205C2×C4⋊Q8—172no—
1206C2×C4⋊Q8—171no—
1207C2×C4⋊Q8—172no—
1208C2×C4⋊Q8—174no—
1209C2×#127—171no—
1210#529—174no—
1211#529—172no—
1212#529—172no—
1213#529—174no—
1214#529—172no—
1215#529—172no—
1216#529—172no—
1217#529—174no—
1218#529—172no—
1219#529—174no—
1220#529—172no—
1221#529C2×D1712yescomplemented
1222C2×#126—174no—
1223C2×#126—174no—
1224C2×#126—174no—
1225C2×#126—174no—
1226C2×#126—174no—
1227C2×#125—172no—
1228C2×#125—172no—
1229C2×#125—174no—
1230C2×#125—174no—
1231C2×#125—171no—
1232C2×#125—174no—
1233C2×#125—171no—
1234C2×#124—172no—
1235C2×#124—174no—
1236C2×#124—172no—
1237C2×#124—174no—
1238C2×#123—174no—
1239C2×#123—174no—
1240C2×#123—174no—
1241C2×#123—174no—
1242C2×#123—174no—
1243C2×C22⋊Q8—172no—
1244C2×C22⋊Q8—172no—
1245C2×C22⋊Q8—172no—
1246C2×C22⋊Q8—174no—
1247C2×C22⋊Q8—174no—
1248C2×C22⋊Q8—174no—
1249C2×C22⋊Q8—174no—
1250C2×C22⋊Q8—174no—
1251C2×#121—172no—
1252C2×#121—174no—
1253C2×C4×Q8—172no—
1254C2×C4×Q8—172no—
1255C2×C4×Q8—172no—
1256C2×C4×Q8—172no—
1257C2×C4×Q8—174no—
1258C2×C4×Q8—172no—
1259C2×C4×D4—174no—
1260C2×C4×D4—172no—
1261C2×C4×D4—174no—
1262C2×C4×D4—172no—
1263C2×C4×D4—172no—
1264C2×#117—174no—
1265C2×#117—171no—
1266C2×#117—171no—
1267C2×#117—174no—
1268C22×C4⋊C4—174no—
1269C22×C42—171no—
1270C2×C17—41no—
1271C2×C17—44no—
1272C2×C17C22×2−1+411yescharacteristic
1273C2×C17C2×#58512yes—
1274D17—41no—
1275D17—44no—
1276D17#355714yesdirect product factor
1277C22×Q8—172no—
1278C22×Q8—172no—
1279C22×Q8—174no—
1280C22×Q8—172no—
1281C22×D4—172no—
1282C22×D4—174no—
1283C22×D4—174no—
1284C23×C4—171no—
1285C23×C4—174no—
1286C23×C4—174no—
1287C23×C4—174no—
1288C23×C4—172no—
1289C4⋊Q8—172no—
1290C4⋊Q8—172no—
1291C4⋊Q8—172no—
1292C4⋊Q8—174no—
1293C4⋊Q8—174no—
1294C4⋊Q8—174no—
1295C4⋊Q8—172no—
1296C4⋊Q8—172no—
1297C4⋊Q8—172no—
1298C4⋊Q8—172no—
1299C4⋊Q8—174no—
1300C4⋊Q8—172no—
1301C4⋊Q8—172no—
1302C4⋊Q8—174no—
1303C4⋊Q8—174no—
1304C4⋊Q8—174no—
1305C4⋊Q8—174no—
1306C4⋊Q8—174no—
1307C4⋊Q8—172no—
1308C4⋊Q8—171no—
1309C4⋊Q8—172no—
1310C4⋊Q8—174no—
1311C4⋊Q8C22×D1712yes—
1312C4⋊Q8C22×D1711yescharacteristic
1313C4⋊Q8C22×D1712yes—
1314C4⋊Q8C22×D1714yes—
1315#127—174no—
1316#127—172no—
1317#127—171no—
1318#127C22×D1711yescharacteristic
1319#126—174no—
1320#126—174no—
1321#126—174no—
1322#126—174no—
1323#126—174no—
1324#126—174no—
1325#126—174no—
1326#126—174no—
1327#126—174no—
1328#126—174no—
1329#126—174no—
1330#126—174no—
1331#126—174no—
1332#126—174no—
1333#126—174no—
1334#126—174no—
1335#126—174no—
1336#126—174no—
1337#126—174no—
1338#126—174no—
1339#126—174no—
1340#126—174no—
1341#126—174no—
1342#126—174no—
1343#126—174no—
1344#126—174no—
1345#126—174no—
1346#126—174no—
1347#126—174no—
1348#126—174no—
1349#126—174no—
1350#126—174no—
1351#126—174no—
1352#126—174no—
1353#126—174no—
1354#126C22×D1714yes—
1355#126C22×D1714yes—
1356#126C22×D1714yes—
1357#126C22×D1714yes—
1358#126C22×D1714yes—
1359#125—174no—
1360#125—174no—
1361#125—172no—
1362#125—172no—
1363#125—172no—
1364#125—172no—
1365#125—172no—
1366#125—172no—
1367#125—172no—
1368#125—172no—
1369#125—174no—
1370#125—174no—
1371#125—174no—
1372#125—174no—
1373#125—174no—
1374#125—174no—
1375#125—174no—
1376#125—174no—
1377#125—174no—
1378#125—174no—
1379#125—174no—
1380#125—174no—
1381#125—174no—
1382#125—172no—
1383#125—174no—
1384#125—174no—
1385#125—174no—
1386#125—174no—
1387#125—174no—
1388#125—174no—
1389#125—174no—
1390#125—172no—
1391#125—172no—
1392#125—172no—
1393#125—174no—
1394#125—174no—
1395#125—171no—
1396#125—174no—
1397#125—171no—
1398#125C22×D1712yes—
1399#125C22×D1712yes—
1400#125C22×D1714yes—
1401#125C22×D1714yes—
1402#125C22×D1711yescharacteristic
1403#125C22×D1714yes—
1404#125C22×D1711yescharacteristic
1405#124—172no—
1406#124—174no—
1407#124—172no—
1408#124—174no—
1409#124—172no—
1410#124—174no—
1411#124—172no—
1412#124—174no—
1413#124—174no—
1414#124—174no—
1415#124—174no—
1416#124—174no—
1417#124—174no—
1418#124—174no—
1419#124—174no—
1420#124—174no—
1421#124—174no—
1422#124—174no—
1423#124—174no—
1424#124—174no—
1425#124—172no—
1426#124—174no—
1427#124—172no—
1428#124—174no—
1429#124C22×D1712yes—
1430#124C22×D1714yes—
1431#124C22×D1712yes—
1432#124C22×D1714yes—
1433#123—174no—
1434#123—174no—
1435#123—174no—
1436#123—174no—
1437#123—174no—
1438#123—174no—
1439#123—174no—
1440#123—174no—
1441#123—174no—
1442#123—174no—
1443#123—174no—
1444#123—174no—
1445#123—174no—
1446#123—174no—
1447#123—174no—
1448#123—174no—
1449#123—174no—
1450#123—174no—
1451#123—174no—
1452#123—174no—
1453#123—174no—
1454#123—174no—
1455#123—174no—
1456#123—174no—
1457#123—174no—
1458#123—174no—
1459#123—174no—
1460#123—174no—
1461#123—174no—
1462#123—174no—
1463#123—174no—
1464#123—174no—
1465#123—174no—
1466#123—174no—
1467#123—174no—
1468#123C22×D1714yes—
1469#123C22×D1714yes—
1470#123C22×D1714yes—
1471#123C22×D1714yes—
1472#123C22×D1714yes—
1473C22⋊Q8—172no—
1474C22⋊Q8—172no—
1475C22⋊Q8—172no—
1476C22⋊Q8—174no—
1477C22⋊Q8—174no—
1478C22⋊Q8—174no—
1479C22⋊Q8—174no—
1480C22⋊Q8—174no—
1481C22⋊Q8—172no—
1482C22⋊Q8—172no—
1483C22⋊Q8—172no—
1484C22⋊Q8—174no—
1485C22⋊Q8—174no—
1486C22⋊Q8—174no—
1487C22⋊Q8—174no—
1488C22⋊Q8—174no—
1489C22⋊Q8—174no—
1490C22⋊Q8—172no—
1491C22⋊Q8—172no—
1492C22⋊Q8—172no—
1493C22⋊Q8—172no—
1494C22⋊Q8—172no—
1495C22⋊Q8—172no—
1496C22⋊Q8—172no—
1497C22⋊Q8—174no—
1498C22⋊Q8—174no—
1499C22⋊Q8—174no—
1500C22⋊Q8—174no—
1501C22⋊Q8—174no—
1502C22⋊Q8—174no—
1503C22⋊Q8—174no—
1504C22⋊Q8—174no—
1505C22⋊Q8—174no—
1506C22⋊Q8—174no—
1507C22⋊Q8—174no—
1508C22⋊Q8—174no—
1509C22⋊Q8—174no—
1510C22⋊Q8—174no—
1511C22⋊Q8—174no—
1512C22⋊Q8—174no—
1513C22⋊Q8—172no—
1514C22⋊Q8—172no—
1515C22⋊Q8—172no—
1516C22⋊Q8—172no—
1517C22⋊Q8—174no—
1518C22⋊Q8—174no—
1519C22⋊Q8—174no—
1520C22⋊Q8—174no—
1521C22⋊Q8—174no—
1522C22⋊Q8—174no—
1523C22⋊Q8—174no—
1524C22⋊Q8—174no—
1525C22⋊Q8—174no—
1526C22⋊Q8—174no—
1527C22⋊Q8C22×D1712yes—
1528C22⋊Q8C22×D1712yes—
1529C22⋊Q8C22×D1712yes—
1530C22⋊Q8C22×D1714yes—
1531C22⋊Q8C22×D1714yes—
1532C22⋊Q8C22×D1714yes—
1533C22⋊Q8C22×D1714yes—
1534C22⋊Q8C22×D1714yes—
1535#121—172no—
1536#121—174no—
1537#121—174no—
1538#121—174no—
1539#121—174no—
1540#121—172no—
1541#121—174no—
1542#121—172no—
1543#121—174no—
1544#121—174no—
1545#121—174no—
1546#121—174no—
1547#121C22×D1712yes—
1548#121C22×D1714yes—
1549C4×Q8—172no—
1550C4×Q8—172no—
1551C4×Q8—172no—
1552C4×Q8—172no—
1553C4×Q8—174no—
1554C4×Q8—172no—
1555C4×Q8—174no—
1556C4×Q8—172no—
1557C4×Q8—172no—
1558C4×Q8—172no—
1559C4×Q8—172no—
1560C4×Q8—172no—
1561C4×Q8—172no—
1562C4×Q8—172no—
1563C4×Q8—174no—
1564C4×Q8—172no—
1565C4×Q8—174no—
1566C4×Q8—174no—
1567C4×Q8—174no—
1568C4×Q8—174no—
1569C4×Q8—172no—
1570C4×Q8—174no—
1571C4×Q8—172no—
1572C4×Q8—172no—
1573C4×Q8—172no—
1574C4×Q8—172no—
1575C4×Q8—172no—
1576C4×Q8—172no—
1577C4×Q8—172no—
1578C4×Q8—174no—
1579C4×Q8—172no—
1580C4×Q8—174no—
1581C4×Q8—174no—
1582C4×Q8—174no—
1583C4×Q8—174no—
1584C4×Q8—172no—
1585C4×Q8C22×D1712yes—
1586C4×Q8C22×D1712yes—
1587C4×Q8C22×D1712yes—
1588C4×Q8C22×D1712yes—
1589C4×Q8C22×D1714yes—
1590C4×Q8C22×D1712yes—
1591C4×D4—174no—
1592C4×D4—172no—
1593C4×D4—174no—
1594C4×D4—172no—
1595C4×D4—172no—
1596C4×D4—174no—
1597C4×D4—174no—
1598C4×D4—174no—
1599C4×D4—174no—
1600C4×D4—174no—
1601C4×D4—174no—
1602C4×D4—174no—
1603C4×D4—174no—
1604C4×D4—172no—
1605C4×D4—174no—
1606C4×D4—172no—
1607C4×D4—172no—
1608C4×D4—174no—
1609C4×D4—174no—
1610C4×D4—174no—
1611C4×D4—174no—
1612C4×D4—174no—
1613C4×D4—174no—
1614C4×D4—174no—
1615C4×D4—174no—
1616C4×D4—172no—
1617C4×D4—174no—
1618C4×D4—172no—
1619C4×D4—172no—
1620C4×D4C22×D1714yes—
1621C4×D4C22×D1712yes—
1622C4×D4C22×D1714yes—
1623C4×D4C22×D1712yes—
1624C4×D4C22×D1712yes—
1625#117—174no—
1626#117—171no—
1627#117—171no—
1628#117—174no—
1629#117—174no—
1630#117—174no—
1631#117—172no—
1632#117—172no—
1633#117—174no—
1634#117—174no—
1635#117—174no—
1636#117—174no—
1637#117—172no—
1638#117—171no—
1639#117—171no—
1640#117—174no—
1641#117—174no—
1642#117—174no—
1643#117—174no—
1644#117—171no—
1645#117—171no—
1646#117—172no—
1647#117—174no—
1648#117—174no—
1649#117C22×D1714yes—
1650#117C22×D1711yescharacteristic
1651#117C22×D1711yescharacteristic
1652#117C22×D1714yes—
1653C2×C4⋊C4—174no—
1654C2×C4⋊C4—174no—
1655C2×C4⋊C4—174no—
1656C2×C4⋊C4—172no—
1657C2×C4⋊C4—174no—
1658C2×C4⋊C4—174no—
1659C2×C4⋊C4—174no—
1660C2×C4⋊C4—174no—
1661C2×C4⋊C4—174no—
1662C2×C4⋊C4—174no—
1663C2×C4⋊C4—174no—
1664C2×C4⋊C4—172no—
1665C2×C4⋊C4—174no—
1666C2×C4⋊C4—172no—
1667C2×C4⋊C4—174no—
1668C2×C4⋊C4—172no—
1669C2×C4⋊C4—172no—
1670C2×C4⋊C4—172no—
1671C2×C4⋊C4—172no—
1672C2×C4⋊C4—174no—
1673C2×C4⋊C4—172no—
1674C2×C4⋊C4—174no—
1675C2×C4⋊C4—172no—
1676C2×C4⋊C4—174no—
1677C2×C4⋊C4—172no—
1678C2×C4⋊C4—174no—
1679C2×C4⋊C4—174no—
1680C2×C4⋊C4C22×D1714yes—
1681C2×C22⋊C4—174no—
1682C2×C22⋊C4—172no—
1683C2×C22⋊C4—174no—
1684C2×C22⋊C4—171no—
1685C2×C22⋊C4—171no—
1686C2×C22⋊C4—174no—
1687C2×C22⋊C4—174no—
1688C2×C22⋊C4—174no—
1689C2×C22⋊C4—174no—
1690C2×C22⋊C4—174no—
1691C2×C22⋊C4—174no—
1692C2×C22⋊C4—174no—
1693C2×C42—172no—
1694C2×C42—171no—
1695C2×C42—171no—
1696C2×C42—174no—
1697C2×C42—171no—
1698C2×C42—172no—
1699C2×C42—171no—
1700C2×C42—174no—
1701C2×C42—172no—
1702C2×C42—174no—
1703C2×C42—171no—
1704C2×C42—171no—
1705C2×C42—172no—
1706C2×C42—171no—
1707C2×C42C22×D1711yescharacteristic
1708C17C2×#355711yescharacteristic, complemented, Sylow
1709C24—171no—
1710C24—174no—
1711C2×Q8—174no—
1712C2×Q8—172no—
1713C2×Q8—172no—
1714C2×Q8—172no—
1715C2×Q8—172no—
1716C2×Q8—174no—
1717C2×Q8—174no—
1718C2×Q8—174no—
1719C2×Q8—172no—
1720C2×Q8—172no—
1721C2×Q8—172no—
1722C2×Q8—348no—
1723C2×Q8—684no—
1724C2×Q8—688no—
1725C2×Q8—684no—
1726C2×Q8C23×D1712yes—
1727C2×Q8C23×D1712yes—
1728C2×Q8C23×D1714yes—
1729C2×Q8C23×D1712yes—
1730C2×D4—174no—
1731C2×D4—174no—
1732C2×D4—174no—
1733C2×D4—174no—
1734C2×D4—174no—
1735C2×D4—172no—
1736C2×D4—174no—
1737C2×D4—174no—
1738C2×D4—348no—
1739C2×D4—688no—
1740C2×D4—688no—
1741C2×D4C23×D1712yes—
1742C2×D4C23×D1714yes—
1743C2×D4C23×D1714yes—
1744C22×C4—171no—
1745C22×C4—171no—
1746C22×C4—172no—
1747C22×C4—174no—
1748C22×C4—174no—
1749C22×C4—174no—
1750C22×C4—172no—
1751C22×C4—174no—
1752C22×C4—172no—
1753C22×C4—172no—
1754C22×C4—171no—
1755C22×C4—172no—
1756C22×C4—174no—
1757C22×C4—171no—
1758C22×C4—171no—
1759C22×C4—172no—
1760C22×C4—172no—
1761C22×C4—174no—
1762C22×C4—172no—
1763C22×C4—172no—
1764C22×C4—174no—
1765C22×C4—174no—
1766C22×C4—174no—
1767C22×C4—174no—
1768C22×C4—174no—
1769C22×C4—174no—
1770C22×C4—344no—
1771C22×C4—688no—
1772C22×C4—684no—
1773C22×C4—688no—
1774C22×C4—688no—
1775C22×C4C23×D1711yescharacteristic
1776C22×C4C23×D1712yes—
1777C22×C4C23×D1714yes—
1778C22×C4C23×D1714yes—
1779C22×C4C23×D1714yes—
1780C4⋊C4—172no—
1781C4⋊C4—172no—
1782C4⋊C4—172no—
1783C4⋊C4—174no—
1784C4⋊C4—174no—
1785C4⋊C4—174no—
1786C4⋊C4—174no—
1787C4⋊C4—174no—
1788C4⋊C4—174no—
1789C4⋊C4—174no—
1790C4⋊C4—174no—
1791C4⋊C4—174no—
1792C4⋊C4—172no—
1793C4⋊C4—172no—
1794C4⋊C4—172no—
1795C4⋊C4—174no—
1796C4⋊C4—174no—
1797C4⋊C4—174no—
1798C4⋊C4—172no—
1799C4⋊C4—172no—
1800C4⋊C4—172no—
1801C4⋊C4—174no—
1802C4⋊C4—174no—
1803C4⋊C4—174no—
1804C4⋊C4—172no—
1805C4⋊C4—172no—
1806C4⋊C4—172no—
1807C4⋊C4—172no—
1808C4⋊C4—172no—
1809C4⋊C4—172no—
1810C4⋊C4—174no—
1811C4⋊C4—172no—
1812C4⋊C4—174no—
1813C4⋊C4—172no—
1814C4⋊C4—174no—
1815C4⋊C4—174no—
1816C4⋊C4—174no—
1817C4⋊C4—172no—
1818C4⋊C4—172no—
1819C4⋊C4—172no—
1820C4⋊C4—174no—
1821C4⋊C4—174no—
1822C4⋊C4—174no—
1823C4⋊C4—172no—
1824C4⋊C4—172no—
1825C4⋊C4—172no—
1826C4⋊C4—174no—
1827C4⋊C4—174no—
1828C4⋊C4—174no—
1829C4⋊C4—172no—
1830C4⋊C4—172no—
1831C4⋊C4—172no—
1832C4⋊C4—174no—
1833C4⋊C4—174no—
1834C4⋊C4—174no—
1835C4⋊C4—174no—
1836C4⋊C4—174no—
1837C4⋊C4—174no—
1838C4⋊C4C23×D1712yes—
1839C4⋊C4C23×D1714yes—
1840C4⋊C4C23×D1714yes—
1841C4⋊C4C23×D1714yes—
1842C4⋊C4C23×D1712yes—
1843C4⋊C4C23×D1714yes—
1844C4⋊C4C23×D1712yes—
1845C4⋊C4C23×D1714yes—
1846C4⋊C4C23×D1712yes—
1847C4⋊C4C23×D1712yes—
1848C4⋊C4C23×D1712yes—
1849C4⋊C4C23×D1712yes—
1850C4⋊C4C23×D1714yes—
1851C4⋊C4C23×D1712yes—
1852C4⋊C4C23×D1714yes—
1853C4⋊C4C23×D1712yes—
1854C4⋊C4C23×D1714yes—
1855C4⋊C4C23×D1712yes—
1856C4⋊C4C23×D1714yes—
1857C4⋊C4C23×D1714yes—
1858C22⋊C4—174no—
1859C22⋊C4—172no—
1860C22⋊C4—174no—
1861C22⋊C4—171no—
1862C22⋊C4—171no—
1863C22⋊C4—174no—
1864C22⋊C4—174no—
1865C22⋊C4—174no—
1866C22⋊C4—174no—
1867C22⋊C4—174no—
1868C22⋊C4—174no—
1869C22⋊C4—174no—
1870C22⋊C4—174no—
1871C22⋊C4—174no—
1872C22⋊C4—172no—
1873C22⋊C4—172no—
1874C22⋊C4—174no—
1875C22⋊C4—174no—
1876C22⋊C4—172no—
1877C22⋊C4—172no—
1878C22⋊C4—174no—
1879C22⋊C4—174no—
1880C22⋊C4—174no—
1881C22⋊C4—174no—
1882C22⋊C4—174no—
1883C22⋊C4—174no—
1884C22⋊C4—174no—
1885C22⋊C4—174no—
1886C22⋊C4—174no—
1887C22⋊C4—174no—
1888C22⋊C4—174no—
1889C22⋊C4—174no—
1890C22⋊C4—174no—
1891C22⋊C4—174no—
1892C22⋊C4C23×D1714yes—
1893C22⋊C4C23×D1712yes—
1894C22⋊C4C23×D1714yes—
1895C22⋊C4C23×D1711yescharacteristic
1896C22⋊C4C23×D1711yescharacteristic
1897C22⋊C4C23×D1714yes—
1898C22⋊C4C23×D1714yes—
1899C22⋊C4C23×D1714yes—
1900C22⋊C4C23×D1714yes—
1901C22⋊C4C23×D1714yes—
1902C22⋊C4C23×D1714yes—
1903C22⋊C4C23×D1714yes—
1904C42—171no—
1905C42—172no—
1906C42—172no—
1907C42—172no—
1908C42—172no—
1909C42—172no—
1910C42—171no—
1911C42—174no—
1912C42—174no—
1913C42—174no—
1914C42—172no—
1915C42—171no—
1916C42—172no—
1917C42—172no—
1918C42—172no—
1919C42—172no—
1920C42—171no—
1921C42—174no—
1922C42—174no—
1923C42—174no—
1924C42—174no—
1925C42—174no—
1926C42—174no—
1927C42C23×D1711yescharacteristic
1928C42C23×D1712yes—
1929C42C23×D1711yescharacteristic
1930C42C23×D1714yes—
1931C42C23×D1711yescharacteristic
1932C42C23×D1712yes—
1933C42C23×D1711yescharacteristic
1934C42C23×D1714yes—
1935C42C23×D1714yes—
1936C23—171no—
1937C23—171no—
1938C23—174no—
1939C23—342no—
1940C23—348no—
1941C23—344no—
1942C23—348no—
1943C23—348no—
1944C23C24×D1711yescharacteristic
1945C23C24×D1714yes—
1946Q8—24no—
1947Q8—42no—
1948Q8—44no—
1949Q8—42no—
1950Q8—348no—
1951Q8—344no—
1952Q8—682no—
1953Q8—682no—
1954Q8—684no—
1955Q8—684no—
1956Q8—682no—
1957Q8—682no—
1958Q8—682no—
1959Q8—684no—
1960Q8—682no—
1961D4—24no—
1962D4—44no—
1963D4—44no—
1964D4—348no—
1965D4—344no—
1966D4—684no—
1967D4—684no—
1968D4—684no—
1969D4—684no—
1970D4—684no—
1971D4—684no—
1972C2×C4—22no—
1973C2×C4—44no—
1974C2×C4—42no—
1975C2×C4—44no—
1976C2×C4—44no—
1977C2×C4—171no—
1978C2×C4—174no—
1979C2×C4—172no—
1980C2×C4—174no—
1981C2×C4—172no—
1982C2×C4—172no—
1983C2×C4—171no—
1984C2×C4—172no—
1985C2×C4—174no—
1986C2×C4—172no—
1987C2×C4—172no—
1988C2×C4—174no—
1989C2×C4—342no—
1990C2×C4—342no—
1991C2×C4—344no—
1992C2×C4—344no—
1993C2×C4—344no—
1994C2×C4—348no—
1995C2×C4—348no—
1996C2×C4—344no—
1997C2×C4—344no—
1998C2×C4—348no—
1999C2×C4—344no—
2000C2×C4—342no—
2001C2×C4—342no—
2002C2×C4—684no—
2003C2×C4—682no—
2004C2×C4—684no—
2005C2×C4—684no—
2006C2×C4—684no—
2007C2×C4—684no—
2008C2×C4—684no—
2009C2×C4—682no—
2010C2×C4—684no—
2011C2×C4—682no—
2012C2×C4—684no—
2013C2×C4—684no—
2014C2×C4C24×D1712yes—
2015C2×C4C24×D1714yes—
2016C2×C4C24×D1712yes—
2017C2×C4C24×D1712yes—
2018C2×C4C24×D1711yescharacteristic
2019C2×C4C24×D1712yes—
2020C2×C4C24×D1714yes—
2021C2×C4C24×D1712yes—
2022C2×C4C24×D1712yes—
2023C2×C4C24×D1714yes—
2024C2×C4C24×D1711yescharacteristic
2025C22—21no—
2026C22—24no—
2027C22—24no—
2028C22—22no—
2029C22—24no—
2030C22—172no—
2031C22—174no—
2032C22—341no—
2033C22—344no—
2034C22—344no—
2035C22—342no—
2036C22—344no—
2037C22—684no—
2038C22—6816no—
2039C22C25×D1711yescharacteristic
2040C4—21no—
2041C4—24no—
2042C4—22no—
2043C4—24no—
2044C4—22no—
2045C4—22no—
2046C4—24no—
2047C4—22no—
2048C4—22no—
2049C4—22no—
2050C4—172no—
2051C4—341no—
2052C4—344no—
2053C4—342no—
2054C4—342no—
2055C4—342no—
2056C4—344no—
2057C4—344no—
2058C4—342no—
2059C4—342no—
2060C4—342no—
2061C42−1+4×D1712yes—
2062C2—41no—
2063C2—44no—
2064C2—174no—
2065C2—681no—
2066C2—684no—
2067C2C2×2−1+4×D1711yescharacteristic
2068C2D17×#58512yes—
subgroupG/H
center, FrattiniC22C25×D17
commutator, socle, cosocleC22×C17C26
FittingC17×#3557C2
prime radicalD17×#540C2
hypercenter#3557D17
hypocenterC17C2×#3557
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C22 ◁ #3557

Complements

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

NH ≅ G/Ntype
1. #14543292C2semidirect
2. #14543291C2semidirect
3. #14543290C2semidirect
4. #14543289C2semidirect
5. #14543288C2semidirect
6. #14543287C2semidirect
7. #14543286C2semidirect
8. #14543285C2semidirect
9. #14543284C2semidirect
10. #14543283C2semidirect
11. #14543282C2semidirect
12. #14543281C2semidirect
13. #14543280C2semidirect
14. D17×#563C2semidirect
15. D17×#559C2semidirect
16. D17×#557C2semidirect
17. D17×#556C2semidirect
18. D17×#554C2semidirect
19. D17×#552C2semidirect
20. D17×#542C2semidirect
21. D17×#542C2semidirect
22. D17×#541C2semidirect
24. D17×#539C2semidirect
25. D17×#533C2semidirect
26. D17×#529C2semidirect
27. C17×#3557C2semidirect
28. #11763563C22semidirect
29. #11763563C22semidirect
30. #11763562C22semidirect
31. #11763562C22semidirect
32. #11763561C22semidirect
33. #11763561C22semidirect
34. #11763561C22semidirect
35. #11763561C22semidirect
36. #11763560C22semidirect
37. #11763560C22semidirect
38. #11763560C22semidirect
39. #11763560C22semidirect
40. #11763559C22semidirect
41. #11763558C22semidirect
42. #11763558C22semidirect
43. #11763545C22semidirect
44. #11763544C22semidirect
45. #11763544C22semidirect
46. #11763543C22semidirect
47. #11763543C22semidirect
48. #11763542C22semidirect
49. #11763542C22semidirect
50. #11763542C22semidirect
51. #11763541C22semidirect
52. #11763541C22semidirect
53. #11763541C22semidirect
54. #11763538C22semidirect
55. #11763537C22semidirect
56. #11763537C22semidirect
57. #11763536C22semidirect
58. #11763536C22semidirect
59. #11763536C22semidirect
60. #11763536C22semidirect
61. #11763535C22semidirect
62. #11763535C22semidirect
63. #11763534C22semidirect
64. #11763534C22semidirect
65. #11763533C22semidirect
66. #11763532C22semidirect
67. #11763531C22semidirect
68. #11763531C22semidirect
69. #11763530C22semidirect
70. #11763529C22semidirect
71. #11763528C22semidirect
72. #11763528C22semidirect
73. #11763527C22semidirect
74. #11763526C22semidirect
75. #11763526C22semidirect
76. #11763520C22semidirect
77. #11763519C22semidirect
78. #11763518C22semidirect
79. #11763518C22semidirect
80. #11763517C22semidirect
81. #11763516C22semidirect
82. #11763515C22semidirect
83. #11763515C22semidirect
84. #11763514C22semidirect
85. #11763513C22semidirect
86. #11763513C22semidirect
87. #11763501C22semidirect
88. #11763500C22semidirect
89. #11763499C22semidirect
90. #11763498C22semidirect
91. #11763497C22semidirect
92. #11763496C22semidirect
93. #11763496C22semidirect
94. #11763495C22semidirect
95. #11763495C22semidirect
96. #11763494C22semidirect
97. #11763493C22semidirect
98. #11763492C22semidirect
99. #11763492C22semidirect
100. #11763491C22semidirect
101. #11763491C22semidirect
102. #11763433C22semidirect
103. #11763433C22semidirect
104. #11763432C22semidirect
105. #11763432C22semidirect
106. #11763431C22semidirect
107. #11763431C22semidirect
108. #11763430C22semidirect
109. #11763430C22semidirect
110. #11763429C22semidirect
111. #11763429C22semidirect
112. #11763429C22semidirect
113. #11763428C22semidirect
114. #11763428C22semidirect
115. #11763427C22semidirect
116. #11763427C22semidirect
117. #11763427C22semidirect
118. #11763426C22semidirect
119. #11763426C22semidirect
120. #11763425C22semidirect
121. #11763425C22semidirect
122. #11763425C22semidirect
123. #11763424C22semidirect
124. #11763424C22semidirect
125. #11763423C22semidirect
126. #11763423C22semidirect
127. #11763423C22semidirect
128. #11763422C22semidirect
129. #11763421C22semidirect
130. #11763420C22semidirect
131. #11763419C22semidirect
132. #11763418C22semidirect
133. #11763417C22semidirect
134. #11763416C22semidirect
142. #11763408C22semidirect
143. #11763407C22semidirect
144. #11763407C22semidirect
145. #11763406C22semidirect
146. #11763405C22semidirect
147. #11763405C22semidirect
148. #11763404C22semidirect
149. #11763403C22semidirect
150. #11763403C22semidirect
151. #11763402C22semidirect
152. #11763402C22semidirect
153. #11763401C22semidirect
154. #11763401C22semidirect
155. #11763400C22semidirect
156. #11763400C22semidirect
157. #11763366C22semidirect
158. #11763365C22semidirect
159. #11763364C22semidirect
160. #11763363C22semidirect
161. #11763363C22semidirect
162. #11763362C22semidirect
163. #11763362C22semidirect
164. #11763361C22semidirect
165. #11763361C22semidirect
171. #11763346C22semidirect
172. #11763345C22semidirect
173. #11763344C22semidirect
174. #11763343C22semidirect
175. #11763342C22semidirect
176. #11763341C22semidirect
177. #11763340C22semidirect
178. #11763339C22semidirect
179. #11763338C22semidirect
180. #11763337C22semidirect
181. #11763336C22semidirect
230. C17×#563C22semidirect
231. C17×#559C22semidirect
232. C17×#557C22semidirect
233. C17×#556C22semidirect
234. C17×#554C22semidirect
235. C17×#552C22semidirect
236. C17×#542C22semidirect
237. C17×#542C22semidirect
238. C17×#541C22semidirect
240. C17×#539C22semidirect
241. C17×#533C22semidirect
242. C17×#529C22semidirect
1004. #3557D17direct (N × H)
1070. #563C2×D17semidirect
1082. #559C2×D17semidirect
1094. #557C2×D17semidirect
1106. #556C2×D17semidirect
1118. #554C2×D17semidirect
1134. #552C2×D17semidirect
1161. #542C2×D17semidirect
1162. #542C2×D17semidirect
1170. #541C2×D17semidirect
1194. #539C2×D17semidirect
1204. #533C2×D17semidirect
1221. #529C2×D17semidirect
1276. D17#3557direct (N × H)
1708. C17C2×#3557semidirect

Maximal subgroups

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

subgroupindex
#145432922
#145432912
#145432902
#145432892
#145432882
#145432872
#145432862
#145432852
#145432842
#145432832
#145432822
#145432812
#145432802
D17×#5632
D17×#5592
D17×#5572
D17×#5562
D17×#5542
D17×#5522
D17×#5422
D17×#5412
D17×#5402
D17×#5392
D17×#5332
D17×#5292
C17×#35572
C2×#355717