Finite Group Databasebeta

← #17942170

Subgroups — #17942170

Order 4352.

6518 conjugacy classes of subgroups.

The subgroup lattice has 2068 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#14543292C211yesmaximal, characteristic, complemented
2#14543289C211yesmaximal, characteristic, complemented
3#14543283C212yesmaximal, complemented
4#14543277C211yesmaximal, characteristic, complemented
5#14543270C212yesmaximal, complemented
6#14543262C212yesmaximal, complemented
7#14543253C212yesmaximal, complemented
8#14543245C212yesmaximal, complemented
9#14543234C214yesmaximal, complemented
10#14543217C214yesmaximal, complemented
11#14543192C212yesmaximal, complemented
12#14543178C211yesmaximal, characteristic, complemented
13#14543072C214yesmaximal, complemented
14#14543064C214yesmaximal, complemented
15#14542929C214yesmaximal, complemented
16#14542397C214yesmaximal, complemented
17#14542381C212yesmaximal, complemented
18#14542377C212yesmaximal, complemented
19#41×Dic34C212yesmaximal, complemented
20#14542362C212yesmaximal, complemented
21#14542213C214yesmaximal, complemented
22#14542209C214yesmaximal, complemented
23#14542174C211yesmaximal, characteristic, complemented
24#14542172C212yesmaximal, complemented
25#14542076C212yesmaximal, complemented
26C2×#11763362C211yesmaximal, characteristic, complemented
27C17×#3455C211yesmaximal, characteristic, complemented
28C17⋊#564C2214yescomplemented
29#11763563C2214yescomplemented
30#11763562C2214yes—
31#11763562C2214yescomplemented
32#11763561C2214yes—
33#11763561C2214yes—
34#11763561C2214yescomplemented
35#11763561C2214yescomplemented
36#11763560C2214yescomplemented
37#11763560C2214yescomplemented
38#11763559C2214yes—
39#11763556C2214yes—
40#11763556C2214yescomplemented
41#11763554C2214yes—
42#11763554C2214yes—
43#11763553C2214yes—
44#11763545C2212yescomplemented
45#11763544C2212yescomplemented
46#11763542C2212yescomplemented
47#11763542C2212yescomplemented
48#11763541C2212yescomplemented
49#11763541C2212yescomplemented
50Q8×Dic34C2212yescomplemented
51#11763539C2212yescomplemented
52#11763538C2212yescomplemented
53#11763537C2212yescomplemented
54#11763536C2212yescomplemented
55#11763536C2212yescomplemented
56#11763536C2214yescomplemented
57#11763535C2212yescomplemented
58#11763535C2212yescomplemented
59#11763534C2212yescomplemented
60#11763534C2212yescomplemented
61#11763533C2212yescomplemented
62#11763531C2212yescomplemented
63#11763531C2212yescomplemented
64#11763529C2212yescomplemented
65#11763528C2214yes—
66#11763528C2212yescomplemented
67#11763528C2212yescomplemented
68#11763526C2214yes—
69#11763526C2214yescomplemented
70#11763520C2212yescomplemented
71#11763518C2214yes—
72#11763518C2214yes—
73#11763518C2212yescomplemented
74#11763518C2212yescomplemented
75#11763517C2214yes—
76#11763516C2214yes—
77#11763516C2212yescomplemented
78#11763515C2212yescomplemented
79#11763515C2212yescomplemented
80#11763513C2214yes—
81#11763513C2214yes—
82#11763511C2214yes—
83#11763508C2214yes—
84#11763508C2214yes—
85#11763505C2214yes—
86#11763502C2214yes—
87#11763502C2214yes—
88#11763501C2214yescomplemented
89#11763497C2214yescomplemented
90#11763496C2214yes—
91#11763496C2214yescomplemented
92#11763495C2214yes—
93#11763495C2214yescomplemented
94#11763480C2212yescomplemented
95#11763479C2212yescomplemented
96D4×Dic34C2214yes—
97D4×Dic34C2212yescomplemented
98#11763474C2212yescomplemented
99#11763472C2214yes—
100#11763472C2214yescomplemented
101#11763468C2214yes—
102#11763467C2214yes—
103#11763465C2214yes—
104#11763465C2214yes—
105#11763459C2214yes—
106#11763457C2214yes—
107#11763457C2214yescomplemented
108#11763439C2214yescomplemented
109#11763438C2214yescomplemented
110#11763432C2212yes—
111#11763432C2212yes—
112#11763430C2212yes—
113#11763430C2212yes—
114#11763428C2214yes—
115#11763427C2214yes—
116#11763427C2214yescomplemented
117#11763426C2212yes—
118#11763426C2212yes—
119#11763426C2214yes—
120#11763425C2214yes—
121#11763425C2214yescomplemented
122#11763423C2214yes—
123#11763423C2214yes—
124#11763422C2214yescomplemented
125#11763421C2211yescharacteristic
126#11763421C2211yescharacteristic
127#11763419C2212yes—
128#11763419C2212yes—
129#11763419C2214yescomplemented
130#11763418C2214yescomplemented
131#11763418C2214yescomplemented
132#11763416C2214yes—
133#11763416C2214yes—
134#11763416C2214yescomplemented
135#11763416C2214yescomplemented
136#11763414C2211yescharacteristic
137#11763414C2211yescharacteristic
138#11763412C2212yes—
139#11763412C2212yes—
140#11763408C2214yescomplemented
141#11763406C2214yes—
142#11763404C2214yes—
143#11763403C2214yes—
144#11763403C2214yes—
145#11763403C2214yes—
146#11763403C2214yescomplemented
147#11763402C2214yes—
148#11763402C2214yescomplemented
149#11763400C2214yes—
150#11763400C2214yescomplemented
151#11763397C2214yes—
152#11763394C2214yes—
153#11763394C2214yes—
154#11763388C2214yes—
155#11763386C2214yes—
156#11763382C2214yescomplemented
157#11763381C2214yes—
158#11763381C2214yescomplemented
159#11763379C2214yes—
160#11763366C2211yescharacteristic
161#11763366C2214yescomplemented
162#11763363C2214yescomplemented
163#11763363C2214yescomplemented
164#11763363C2214yescomplemented
165#11763362C2212yes—
166#11763362C2212yes—
167#11763362C2212yes—
168#11763362C2211yescharacteristic
169#11763362C2212yes—
170#11763362C2211yescharacteristic
171#11763362C2212yes—
172#11763362C2212yes—
173#11763362C2212yes—
174#11763362C2212yes—
175#11763362C2211yescharacteristic
176#11763362C2211yescharacteristic
177#11763362C2214yescomplemented
178#11763362C2214yescomplemented
179#11763361C2212yes—
180#11763361C2212yes—
181#11763359C2211yescharacteristic
182#11763355C2212yes—
183#11763355C2212yes—
184#11763354C2212yes—
185#11763354C2212yes—
186C2×#10587574C2212yes—
187#11763345C2212yes—
188#11763345C2212yes—
189#11763343C2214yescomplemented
190#11763341C2214yes—
191#11763341C2214yes—
192#11763341C2214yescomplemented
193#11763340C2212yes—
194#11763340C2212yes—
195#11763339C2214yes—
196#11763339C2214yes—
197#11763339C2214yes—
198#11763339C2214yes—
199#11763339C2214yescomplemented
200#11763339C2214yescomplemented
201#11763337C2214yes—
202#11763337C2214yes—
203#11763337C2214yescomplemented
204#11763337C2214yescomplemented
205#11763336C2214yes—
206#11763336C2214yes—
207C2×#10587576C2212yes—
208#11763320C2212yes—
209#11763315C2214yes—
210#11763315C2214yes—
211C2×#10587564C2212yes—
212C2×#10587564C2212yes—
213#41×Dic17C2212yes—
214#41×Dic17C2212yes—
215C4×#63252C2212yes—
216C4×#63252C2214yescomplemented
217#11763277C2212yes—
218#11763277C2212yes—
219C4×#63254C2214yes—
220C4×#63254C2214yes—
221C4×#63254C2214yescomplemented
222C2×C4×Dic34C2212yes—
223C2×C4×Dic34C2212yes—
224C2×C4×Dic34C2214yescomplemented
225C4×Q8×D17C2214yescomplemented
226C2×#10587612C2211yescharacteristic
227C22×C4×Dic17C2211yescharacteristic
228C17×#542C2212yes—
229C17×#542C2212yes—
230C17×#541C2211yescharacteristic
231C17×#541C2211yescharacteristic
232C17×#540C2211yescharacteristic
233C17×#540C2211yescharacteristic
234C17×#539C2214yes—
235C17×#538C2214yes—
236C17×#533C2211yescharacteristic
237C17×#532C2211yescharacteristic
238C17×#529C2214yes—
239C17×#529C2214yes—
240C17×#525C2212yes—
241C4×#41×C17C2212yes—
242C2×C17×#117C2211yescharacteristic
243C2×#41×C17C2312yes—
244C23×C4×C17C2311yescharacteristic
245C23×Dic17C2312yes—
246C2×Q8×D17C2314yes—
247C2×#63254C2314yes—
248C2×#63254C2314yes—
249C2×#63254C2314yes—
250C2×#63252C2312yes—
251C2×#63252C2314yes—
252C22×Dic34C2312yes—
253C22×Dic34C2314yes—
254C22×Dic34C2312yes—
255C17×C4⋊Q8C2312yes—
256C17×C4⋊Q8C2311yescharacteristic
257C17×#127C2311yescharacteristic
258C17×#126C2314yes—
259C17×#126C2314yes—
260C17×#126C2314yes—
261C17×#126C2314yes—
262C17×#125C2314yes—
263C17×#125C2314yes—
264C17×#125C2311yescharacteristic
265C17×#125C2311yescharacteristic
266C17×#124C2314yes—
267C17×#124C2314yes—
268C17×#124C2312yes—
269C17×#123C2314yes—
270C17×#123C2314yes—
271C17×#123C2314yes—
272C17×#123C2314yes—
273C17×#123C2314yes—
274C17×C22⋊Q8C2314yes—
275C17×C22⋊Q8C2314yes—
276C17×C22⋊Q8C2312yes—
277C17×C22⋊Q8C2312yes—
278C17×C22⋊Q8C2314yes—
279C17×#121C2314yes—
280C17×#121C2314yes—
281C17×#121C2312yes—
282C17×#121C2312yes—
283C17×#121C2314yes—
284C17×#120C2314yes—
285C4×Q8×C17C2312yes—
286C4×Q8×C17C2312yes—
287C4×Q8×C17C2314yes—
288C4×D4×C17C2314yes—
289C4×D4×C17C2314yes—
290C4×D4×C17C2312yes—
291C4×D4×C17C2312yes—
292C4×D4×C17C2314yes—
293C4×D4×C17C2314yes—
294C4×D4×C17C2314yes—
295C17×#117C2312yes—
296C17×#117C2312yes—
297C17×#117C2311yescharacteristic
298C17×#117C2311yescharacteristic
299C17×#117C2311yescharacteristic
300C17×#117C2311yescharacteristic
301C17×#117C2312yes—
302C17×#117C2314yes—
303C2×C4⋊C4×C17C2312yes—
304C2×C22⋊C4×C17C2312yes—
305C2×C42×C17C2311yescharacteristic
306C2×C42×C17C2311yescharacteristic
307C2×C42×C17C2314yes—
308#10587639C2314yes—
309C2×C22⋊Dic17C2311yescharacteristic
310C2×C22⋊Dic17C2311yescharacteristic
311#10587633C2312yes—
312#10587633C2312yes—
313#10587632C2314yes—
314#10587632C2314yes—
315#10587632C2314yes—
316Q8×Dic17C2314yes—
317Q8×Dic17C2312yes—
318Q8×Dic17C2312yes—
319Q8×Dic17C2312yes—
320Q8×Dic17C2312yes—
321#10587630C2314yes—
322#10587630C2314yes—
323#10587630C2314yes—
324#10587630C2312yes—
325#10587630C2312yes—
326#10587626C2312yes—
327#10587626C2312yes—
328#10587625C2314yes—
329#10587625C2314yes—
330#10587625C2314yes—
331#10587625C2314yes—
332#10587625C2314yes—
333#10587625C2314yes—
334#10587625C2314yes—
335#10587625C2314yes—
336#10587625C2314yes—
337#10587625C2314yes—
338#10587624C2314yes—
339#10587624C2314yes—
340#10587624C2314yes—
341#10587622C2314yes—
342#10587622C2314yes—
343#10587622C2312yes—
344#10587622C2312yes—
345#10587622C2314yes—
346#10587621C2314yes—
347#10587621C2314yes—
348#10587621C2314yes—
349#10587621C2314yes—
350#10587621C2314yes—
351#10587621C2314yes—
352D4×Dic17C2314yes—
353D4×Dic17C2314yes—
354D4×Dic17C2314yes—
355D4×Dic17C2314yes—
356D4×Dic17C2314yes—
357D4×Dic17C2312yes—
358D4×Dic17C2312yes—
359D4×Dic17C2312yes—
360D4×Dic17C2314yes—
361D4×Dic17C2312yes—
362D4×Dic17C2314yes—
363#10587616C2314yes—
364#10587616C2314yes—
365#10587616C2312yes—
366#10587616C2312yes—
367#10587615C2314yes—
368#10587615C2314yes—
369#10587615C2314yes—
370C4×C22⋊D17C2314yes—
371C4×C22⋊D17C2314yes—
372C4×C22⋊D17C2314yes—
373C4×C22⋊D17C2314yes—
374C4×C22⋊D17C2314yes—
375C4×C22⋊D17C2314yes—
376C4×C22⋊D17C2314yes—
377C4×C22⋊D17C2314yes—
378C4×C22⋊D17C2314yes—
379C4×C22⋊D17C2314yes—
380#10587612C2314yes—
381#10587612C2311yescharacteristic
382#10587612C2312yes—
383#10587612C2311yescharacteristic
384#10587612C2311yescharacteristic
385#10587612C2312yes—
386#10587612C2311yescharacteristic
387#10587612C2312yes—
388#10587612C2314yes—
389#10587612C2314yes—
390C2×C4⋊Dic17C2314yes—
391C2×C4⋊Dic17C2312yes—
392C2×C4⋊Dic17C2312yes—
393C2×C4⋊Dic17C2312yes—
394#10587610C2314yes—
395#10587610C2314yes—
396#10587610C2314yes—
397#10587610C2314yes—
398#10587610C2314yes—
399#10587610C2314yes—
400#10587610C2312yes—
401#10587610C2312yes—
402C2×#63225C2314yes—
403C2×#63225C2314yes—
404C2×#63225C2312yes—
405C2×#63225C2312yes—
406C2×#63225C2312yes—
407C2×#63225C2312yes—
408C2×C4×Dic17C2312yes—
409C2×C4×Dic17C2311yescharacteristic
410C2×C4×Dic17C2312yes—
411C2×C4×Dic17C2311yescharacteristic
412C2×C4×Dic17C2311yescharacteristic
413C2×C4×Dic17C2311yescharacteristic
414C2×C4×Dic17C2311yescharacteristic
415C2×C4×Dic17C2312yes—
416C2×C4×Dic17C2311yescharacteristic
417C2×C4×Dic17C2312yes—
418C2×C4×Dic17C2314yes—
419C2×C4×Dic17C2314yes—
420#10587584C2314yes—
421#10587584C2314yes—
422#10587584C2314yes—
423#10587584C2314yes—
424#10587584C2314yes—
425#10587584C2314yes—
426#10587584C2314yes—
427#10587584C2314yes—
428#10587584C2314yes—
429#10587584C2314yes—
430#10587583C2314yes—
431#10587583C2314yes—
432#10587583C2314yes—
433#10587583C2314yes—
434#10587583C2314yes—
435#10587583C2314yes—
436#10587582C2314yes—
437#10587582C2314yes—
438#10587582C2314yes—
439#10587582C2314yes—
440#10587582C2314yes—
441#10587582C2314yes—
442#10587582C2314yes—
443#10587582C2314yes—
444#10587582C2314yes—
445#10587582C2314yes—
446#10587580C2314yes—
447#10587580C2314yes—
448#10587580C2314yes—
449#10587580C2314yes—
450#10587579C2312yes—
451#10587579C2312yes—
452#10587579C2312yes—
453#10587579C2312yes—
454#10587578C2314yes—
455#10587578C2314yes—
456#10587578C2314yes—
457C4⋊C4×D17C2314yes—
458C4⋊C4×D17C2314yes—
459C4⋊C4×D17C2314yes—
460#10587576C2314yes—
461#10587576C2312yes—
462#10587576C2314yes—
463#10587576C2312yes—
464#10587576C2314yes—
465#10587576C2314yes—
466#10587576C2312yes—
467#10587576C2312yes—
468#10587576C2314yes—
469#10587576C2312yes—
470#10587576C2314yes—
471#10587576C2312yes—
472#10587576C2312yes—
473#10587576C2312yes—
474#10587576C2312yes—
475#10587576C2312yes—
476#10587576C2312yes—
477#10587576C2312yes—
478#10587576C2314yes—
479#10587575C2314yes—
480#10587575C2314yes—
481#10587575C2314yes—
482#10587575C2314yes—
483#10587575C2314yes—
484#10587575C2314yes—
485#10587575C2314yes—
486#10587575C2314yes—
487#10587575C2314yes—
488#10587575C2314yes—
489#10587575C2314yes—
490#10587575C2314yes—
491#10587575C2314yes—
492#10587575C2314yes—
493#10587575C2314yes—
494#10587575C2314yes—
495#10587574C2314yes—
496#10587574C2312yes—
497#10587574C2314yes—
498#10587574C2314yes—
499#10587574C2312yes—
500#10587574C2314yes—
501#10587574C2312yes—
502#10587574C2312yes—
503#10587574C2314yes—
504#10587574C2312yes—
505#10587574C2312yes—
506#10587574C2314yes—
507#10587574C2314yes—
508#10587574C2312yes—
509#10587574C2312yes—
510#10587574C2312yes—
511#10587574C2312yes—
512#10587574C2312yes—
513#10587574C2312yes—
514#10587573C2314yes—
515#10587573C2314yes—
516#10587573C2314yes—
517#10587573C2314yes—
518#10587573C2314yes—
519#10587573C2312yes—
520#10587573C2312yes—
521#10587573C2314yes—
522#10587573C2312yes—
523#10587573C2312yes—
524#10587572C2314yes—
525#10587572C2314yes—
526#10587572C2314yes—
527#10587572C2314yes—
528#10587572C2314yes—
529#10587572C2314yes—
530#10587571C2314yes—
531#10587571C2314yes—
532#10587571C2314yes—
533#10587571C2314yes—
534#10587571C2314yes—
535#10587571C2314yes—
536#10587571C2314yes—
537#10587571C2314yes—
538#10587571C2314yes—
539#10587571C2314yes—
540#10587570C2314yes—
541#10587570C2314yes—
542#10587570C2314yes—
543#10587570C2314yes—
544#10587569C2314yes—
545#10587569C2314yes—
546#10587569C2314yes—
547#10587569C2314yes—
548#10587569C2314yes—
549#10587569C2314yes—
550#10587569C2314yes—
551#10587569C2314yes—
552#10587569C2314yes—
553#10587569C2314yes—
554#10587567C2314yes—
555#10587567C2314yes—
556#10587567C2314yes—
557#10587567C2314yes—
558#10587567C2314yes—
559#10587567C2314yes—
560#10587567C2314yes—
561#10587567C2314yes—
562#10587567C2314yes—
563#10587567C2314yes—
564#10587565C2314yes—
565#10587565C2314yes—
566#10587565C2314yes—
567#10587565C2314yes—
568#10587565C2314yes—
569#10587565C2314yes—
570#10587565C2314yes—
571#10587565C2314yes—
572#10587565C2314yes—
573#10587565C2314yes—
574#10587565C2314yes—
575#10587565C2314yes—
576#10587565C2314yes—
577#10587565C2314yes—
578#10587565C2314yes—
579#10587565C2314yes—
580#10587564C2312yes—
581#10587564C2314yes—
582#10587564C2312yes—
583#10587564C2314yes—
584#10587564C2312yes—
585#10587564C2314yes—
586#10587564C2314yes—
587#10587564C2314yes—
588#10587564C2312yes—
589#10587564C2314yes—
590#10587564C2314yes—
591#10587564C2314yes—
592#10587564C2314yes—
593#10587564C2314yes—
594#10587564C2314yes—
595#10587564C2314yes—
596#10587564C2314yes—
597#10587564C2314yes—
598#10587564C2314yes—
599#10587564C2312yes—
600#10587564C2312yes—
601#10587564C2312yes—
602#10587564C2312yes—
603#10587564C2314yes—
604#10587564C2312yes—
605#10587564C2312yes—
606#10587564C2312yes—
607#10587564C2312yes—
608#10587564C2312yes—
609#10587564C2312yes—
610#10587564C2312yes—
611#10587564C2312yes—
612#10587564C2314yes—
613#10587564C2314yes—
614#10587563C2314yes—
615#10587563C2314yes—
616#10587563C2314yes—
617#10587563C2314yes—
618#10587563C2314yes—
619#10587563C2314yes—
620#10587562C2314yes—
621#10587562C2314yes—
622#10587561C2314yes—
623#10587561C2312yes—
624#10587560C2311yescharacteristic
625C4×D68C2314yes—
626C4×D68C2312yes—
627C4×D68C2312yes—
628C4×D68C2314yes—
629#10587558C2314yes—
630#10587558C2314yes—
631#10587558C2314yes—
632#10587558C2314yes—
633#10587558C2314yes—
634C42×D17C2314yes—
635C42×D17C2314yes—
636C42×D17C2314yes—
637#10587556C2314yes—
638#10587556C2314yes—
639#10587556C2314yes—
640#10587556C2311yescharacteristic
641#10587556C2311yescharacteristic
642#10587555C2314yes—
643#10587555C2312yes—
644#10587555C2314yes—
645#10587555C2311yescharacteristic
646C4×Dic34C2314yes—
647C4×Dic34C2314yes—
648C4×Dic34C2312yes—
649C4×Dic34C2314yes—
650C4×Dic34C2312yes—
651C4×Dic34C2312yes—
652C4×Dic34C2312yes—
653C4×Dic34C2314yes—
654C4×Dic34C2314yes—
655C4×Dic34C2312yes—
656C4×Dic34C2312yes—
657C4×Dic34C2312yes—
658C4×Dic34C2312yes—
659C4×Dic34C2312yes—
660C4×Dic34C2314yes—
661C4×Dic34C2314yes—
662C4×Dic34C2312yes—
663C4×Dic34C2312yes—
664C4×Dic34C2312yes—
665C4×Dic34C2312yes—
666C4×Dic34C2312yes—
667C4×Dic34C2312yes—
668C4×Dic34C2312yes—
669C4×Dic34C2312yes—
670C4×Dic34C2314yes—
671C4×Dic34C2314yes—
672C4×Dic34C2314yes—
673C4×Dic34C2312yes—
674C24×C17C2411yescharacteristic
675#41×C17—28no—
676C2×Q8×C17C2412yes—
677C2×Q8×C17C2414yes—
678C2×D4×C17C2414yes—
679C2×D4×C17C2412yes—
680C2×D4×C17C2414yes—
681C2×D4×C17C2414yes—
682C2×D4×C17C2414yes—
683C22×C4×C17—24no—
684C22×C4×C17C2411yescharacteristic
685C22×C4×C17C2411yescharacteristic
686C22×C4×C17C2411yescharacteristic
687C22×C4×C17C2411yescharacteristic
688C22×C4×C17C2411yescharacteristic
689C22×C4×C17C2414yes—
690C22×C4×C17C2412yes—
691C22×C4×C17C2414yes—
692C22×C4×C17C2414yes—
693C22×C4×C17C2412yes—
694C22×C4×C17C2411yescharacteristic
695C2×C22⋊D17C2414yes—
696C2×C22⋊D17C2414yes—
697C2×C22⋊D17C2414yes—
698C2×C22⋊D17C2414yes—
699C2×C22⋊D17C2414yes—
700C2×C22⋊D17C2414yes—
701C2×C22⋊D17C2414yes—
702C22×Dic17—44no—
703C22×Dic17C2412yes—
704C22×Dic17C2414yes—
705C22×Dic17C2412yes—
706C22×Dic17C2412yes—
707C22×Dic17C2414yes—
708C22×Dic17C2412yes—
709C22×Dic17C2412yes—
710C22×Dic17C2414yes—
711C22×Dic17C2414yes—
712C22×Dic17C2412yes—
713C22×Dic17C2412yes—
714C22×Dic17C2412yes—
715Q8×D17—48no—
716#63254—48no—
717#63254—48no—
718#63254—48no—
719#63252—28no—
720#63252—48no—
721C2×D68C2412yes—
722C2×D68C2414yes—
723C2×C4×D17C2414yes—
724C2×C4×D17C2414yes—
725C2×C4×D17C2414yes—
726C2×C4×D17C2414yes—
727C2×C4×D17C2414yes—
728C2×C4×D17C2414yes—
729C2×C4×D17C2414yes—
730C2×Dic34—44no—
731C2×Dic34—48no—
732C2×Dic34—44no—
733C2×Dic34C2412yes—
734C2×Dic34C2412yes—
735C2×Dic34C2412yes—
736C2×Dic34C2414yes—
737C2×Dic34C2412yes—
738C2×Dic34C2412yes—
739C2×Dic34C2412yes—
740C2×Dic34C2414yes—
741C2×Dic34C2412yes—
742C2×Dic34C2412yes—
743C2×Dic34C2414yes—
744C2×Dic34C2412yes—
745C2×Dic34C2414yes—
746C2×Dic34C2414yes—
747C4⋊C4×C17C2414yes—
748C4⋊C4×C17C2414yes—
749C4⋊C4×C17C2412yes—
750C4⋊C4×C17C2412yes—
751C4⋊C4×C17C2414yes—
752C4⋊C4×C17C2414yes—
753C4⋊C4×C17C2414yes—
754C4⋊C4×C17C2414yes—
755C4⋊C4×C17C2414yes—
756C4⋊C4×C17C2412yes—
757C4⋊C4×C17C2412yes—
758C4⋊C4×C17C2412yes—
759C4⋊C4×C17C2412yes—
760C4⋊C4×C17C2414yes—
761C22⋊C4×C17C2414yes—
762C22⋊C4×C17C2414yes—
763C22⋊C4×C17C2414yes—
764C22⋊C4×C17C2414yes—
765C22⋊C4×C17C2414yes—
766C22⋊C4×C17C2414yes—
767C22⋊C4×C17C2414yes—
768C22⋊C4×C17C2412yes—
769C22⋊C4×C17C2412yes—
770C22⋊C4×C17C2414yes—
771C22⋊C4×C17C2414yes—
772C22⋊C4×C17C2412yes—
773C22⋊C4×C17C2412yes—
774C42×C17C2411yescharacteristic
775C42×C17C2414yes—
776C42×C17C2414yes—
777C42×C17C2411yescharacteristic
778C42×C17C2412yes—
779C42×C17C2411yescharacteristic
780C42×C17C2411yescharacteristic
781C42×C17C2412yes—
782C42×C17C2414yes—
783C22⋊Dic17C2414yes—
784C22⋊Dic17C2414yes—
785C22⋊Dic17C2414yes—
786C22⋊Dic17C2414yes—
787C22⋊Dic17C2414yes—
788C22⋊Dic17C2411yescharacteristic
789C22⋊Dic17C2411yescharacteristic
790C22⋊Dic17C2412yes—
791C22⋊Dic17C2412yes—
792C22⋊Dic17C2411yescharacteristic
793C22⋊Dic17C2411yescharacteristic
794C22⋊Dic17C2414yes—
795C22⋊Dic17C2414yes—
796C22⋊Dic17C2414yes—
797C22⋊Dic17C2414yes—
798C22⋊Dic17C2414yes—
799C22⋊Dic17C2414yes—
800#63227C2414yes—
801#63227C2414yes—
802#63227C2414yes—
803#63227C2414yes—
804#63227C2414yes—
805#63227C2414yes—
806#63227C2414yes—
807#63227C2414yes—
808#63227C2414yes—
809#63227C2414yes—
810#63227C2414yes—
811#63227C2414yes—
812#63227C2414yes—
813#63227C2414yes—
814C4⋊Dic17C2412yes—
815C4⋊Dic17C2412yes—
816C4⋊Dic17C2414yes—
817C4⋊Dic17C2412yes—
818C4⋊Dic17C2412yes—
819C4⋊Dic17C2412yes—
820C4⋊Dic17C2412yes—
821C4⋊Dic17C2414yes—
822C4⋊Dic17C2414yes—
823C4⋊Dic17C2412yes—
824C4⋊Dic17C2412yes—
825C4⋊Dic17C2414yes—
826C4⋊Dic17C2412yes—
827C4⋊Dic17C2412yes—
828C4⋊Dic17C2414yes—
829C4⋊Dic17C2414yes—
830C4⋊Dic17C2414yes—
831C4⋊Dic17C2414yes—
832C4⋊Dic17C2414yes—
833C4⋊Dic17C2414yes—
834C4⋊Dic17C2412yes—
835C4⋊Dic17C2412yes—
836C4⋊Dic17C2412yes—
837C4⋊Dic17C2412yes—
838#63225C2412yes—
839#63225C2412yes—
840#63225C2412yes—
841#63225C2414yes—
842#63225C2414yes—
843#63225C2412yes—
844#63225C2412yes—
845#63225C2412yes—
846#63225C2412yes—
847#63225C2412yes—
848#63225C2412yes—
849#63225C2412yes—
850#63225C2414yes—
851#63225C2414yes—
852#63225C2412yes—
853#63225C2412yes—
854#63225C2414yes—
855#63225C2414yes—
856#63225C2412yes—
857#63225C2412yes—
858#63225C2412yes—
859#63225C2412yes—
860#63225C2414yes—
861#63225C2414yes—
862#63225C2414yes—
863#63225C2414yes—
864#63225C2414yes—
865#63225C2414yes—
866#63225C2414yes—
867#63225C2414yes—
868#63225C2414yes—
869#63225C2414yes—
870#63225C2414yes—
871#63225C2414yes—
872#63225C2414yes—
873#63225C2414yes—
874#63225C2414yes—
875#63225C2414yes—
876C4×Dic17C2412yes—
877C4×Dic17C2412yes—
878C4×Dic17C2414yes—
879C4×Dic17C2412yes—
880C4×Dic17C2412yes—
881C4×Dic17C2412yes—
882C4×Dic17C2412yes—
883C4×Dic17C2412yes—
884C4×Dic17C2412yes—
885C4×Dic17C2414yes—
886C4×Dic17C2414yes—
887C4×Dic17C2414yes—
888C4×Dic17C2414yes—
889C4×Dic17C2414yes—
890C4×Dic17C2414yes—
891C4×Dic17C2414yes—
892C4×Dic17C2414yes—
893C4×Dic17C2414yes—
894C4×Dic17C2414yes—
895C4×Dic17C2411yescharacteristic
896C4×Dic17C2412yes—
897C4×Dic17C2411yescharacteristic
898C4×Dic17C2412yes—
899C4×Dic17C2411yescharacteristic
900C4×Dic17C2411yescharacteristic
901#62761—171nomaximal, Sylow
902C23×C17—22no—
903C23×C17—42no—
904C23×C17C2511yescharacteristic
905C23×C17C2511yescharacteristic
906C23×C17C2514yes—
907C23×C17C2511yescharacteristic
908C22×D17C2514yes—
909Q8×C17—24no—
910Q8×C17—44no—
911D4×C17—28no—
912D4×C17—24no—
913D4×C17—44no—
914D4×C17—44no—
915D4×C17—44no—
916C2×C4×C17—22no—
917C2×C4×C17—22no—
918C2×C4×C17—22no—
919C2×C4×C17—22no—
920C2×C4×C17—22no—
921C2×C4×C17—28no—
922C2×C4×C17—44no—
923C2×C4×C17—42no—
924C2×C4×C17—42no—
925C2×C4×C17—44no—
926C2×C4×C172−1+414yes—
927C2×C4×C17C2512yes—
928C2×C4×C17C2512yes—
929C2×C4×C17C2512yes—
930C2×C4×C17C2514yes—
931C2×C4×C17C2514yes—
932C2×C4×C17C2514yes—
933C2×C4×C17C2512yes—
934C2×C4×C17C2511yescharacteristic
935C2×C4×C17C2511yescharacteristic
936C2×C4×C17C2511yescharacteristic
937C2×C4×C17C2511yescharacteristic
938C22⋊D17—28no—
939C22⋊D17—28no—
940C22⋊D17—44no—
941C22⋊D17—44no—
942C22⋊D17—44no—
943C22⋊D17—44no—
944C22⋊D17—44no—
945C2×Dic17—24no—
946C2×Dic17—28no—
947C2×Dic17—24no—
948C2×Dic17—24no—
949C2×Dic17—42no—
950C2×Dic17—44no—
951C2×Dic17—42no—
952C2×Dic17—44no—
953C2×Dic17—44no—
954C2×Dic17—42no—
955C2×Dic17—42no—
956C2×Dic17—42no—
957C2×Dic17C2512yes—
958C2×Dic17C2514yes—
959C2×Dic17C2512yes—
960C2×Dic17C2512yes—
961C2×Dic17C2514yes—
962C2×Dic17C2514yes—
963C2×Dic17C2512yes—
964C2×Dic17C2512yes—
965C2×Dic17C2512yes—
966C2×Dic17C2512yes—
967C2×Dic17C2512yes—
968D68—24no—
969D68—44no—
970C4×D17—28no—
971C4×D17—28no—
972C4×D17—44no—
973C4×D17—44no—
974C4×D17—44no—
975C4×D17—44no—
976C4×D17—44no—
977Dic34—24no—
978Dic34—24no—
979Dic34—24no—
980Dic34—24no—
981Dic34—28no—
982Dic34—24no—
983Dic34—42no—
984Dic34—42no—
985Dic34—44no—
986Dic34—44no—
987Dic34—42no—
988Dic34—42no—
989Dic34—44no—
990Dic34—44no—
991#3557—172no—
992#3557—171no—
993#3557—171no—
994#3556—171no—
995#3555—172no—
996#3555—172no—
997#3554—172no—
998#3554—172no—
999#3553—174no—
1000#3552—174no—
1001#3550—172no—
1002#3548—171no—
1003#3541—174no—
1004#3541—174no—
1005#3531—174no—
1006#3482—174no—
1007#3480—172no—
1008#3480—172no—
1009Q8×#41—172no—
1010Q8×#41—172no—
1011#3461—174no—
1012#3461—174no—
1013#3455—172no—
1014#3455—171no—
1015#3455D1711yescharacteristic, complemented
1016#3444—172no—
1017C2×#533—171no—
1018C22×C17—22no—
1019C22×C17—21no—
1020C22×C17—21no—
1021C22×C17—24no—
1022C22×C17—24no—
1023C22×C17—22no—
1024C22×C17—22no—
1025C22×C17—24no—
1026C22×C17—44no—
1027C22×C17C2×2−1+412yes—
1028C22×C17C2611yescharacteristic
1029C2×D17—24no—
1030C2×D17—24no—
1031C2×D17—24no—
1032C4×C17—21no—
1033C4×C17—21no—
1034C4×C17—24no—
1035C4×C17—22no—
1036C4×C17—22no—
1037C4×C17—24no—
1038C4×C17—22no—
1039C4×C17—22no—
1040C4×C17—24no—
1041C4×C17C2×2−1+412yes—
1042C4×C17C2×2−1+412yes—
1043Dic17—24no—
1044Dic17—22no—
1045Dic17—22no—
1046Dic17—24no—
1047Dic17—22no—
1048Dic17—22no—
1049Dic17—22no—
1050Dic17—24no—
1051Dic17—22no—
1052Dic17—22no—
1053Dic17#58514yes—
1054#564—174no—
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#562—174no—
1066#562—174no—
1067#562—174no—
1068#562—174no—
1069#562—174no—
1070#559—172no—
1071#559—172no—
1072#559—172no—
1073#559—172no—
1074#559—172no—
1075#559—172no—
1076Q82—172no—
1077Q82—172no—
1078#557—172no—
1079#557—172no—
1080#557—172no—
1081#557—172no—
1082#557—174no—
1083#557—172no—
1084#557—172no—
1085#557—172no—
1086#557—172no—
1087#556—172no—
1088#556—174no—
1089#556—174no—
1090#556—174no—
1091#556—172no—
1092#556—172no—
1093#556—172no—
1094#556—172no—
1095#556—172no—
1096#554—172no—
1097#554—172no—
1098#554—172no—
1099#554—174no—
1100#554—174no—
1101#554—174no—
1102#554—174no—
1103#554—172no—
1104#554—174no—
1105#554—174no—
1106#554—172no—
1107#554—172no—
1108#553—174no—
1109#553—174no—
1110#553—174no—
1111#553—174no—
1112#553—174no—
1113#553—174no—
1114#552—174no—
1115#552—174no—
1116#552—174no—
1117#552—174no—
1118#552—174no—
1119#552—174no—
1120#550—172no—
1121#550—172no—
1122D4×Q8—172no—
1123D4×Q8—174no—
1124D4×Q8—174no—
1125D4×Q8—174no—
1126D4×Q8—172no—
1127#548—174no—
1128#548—174no—
1129#548—174no—
1130#548—174no—
1131#547—174no—
1132#547—174no—
1133#547—174no—
1134#544—174no—
1135#544—174no—
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—172no—
1145#542—172no—
1146#542—172no—
1147#542—174no—
1148#542—172no—
1149#542—172no—
1150#542C2×D1712yes—
1151#542C2×D1712yes—
1152#541—174no—
1153#541—174no—
1154#541—174no—
1155#541—174no—
1156#541—174no—
1157#541—174no—
1158#541—174no—
1159#541—172no—
1160#541—172no—
1161#541—174no—
1162#541—171no—
1163#541—171no—
1164#541C2×D1711yescharacteristic
1165#541C2×D1711yescharacteristic
1166#540—172no—
1167#540—172no—
1168#540—171no—
1169#540—171no—
1170#540C2×D1711yescharacteristic
1171#540C2×D1711yescharacteristic
1172#539—174no—
1173#539—174no—
1174#539—174no—
1175#539—174no—
1176#539—174no—
1177#539—174no—
1178#539—174no—
1179#539—174no—
1180#539—174no—
1181#539—174no—
1182#539—174no—
1183#539C2×D1714yes—
1184#538—174no—
1185#538—174no—
1186#538—174no—
1187#538C2×D1714yes—
1188#537—174no—
1189#537—174no—
1190#536—174no—
1191#536—174no—
1192#536—174no—
1193#536—174no—
1194#533—172no—
1195#533—172no—
1196#533—174no—
1197#533—174no—
1198#533—174no—
1199#533—172no—
1200#533—172no—
1201#533—172no—
1202#533—172no—
1203#533—171no—
1204#533—171no—
1205#533—172no—
1206#533—172no—
1207#533—171no—
1208#533—171no—
1209#533—172no—
1210#533—172no—
1211#533—174no—
1212#533—174no—
1213#533—171no—
1214#533—174no—
1215#533C2×D1711yescharacteristic
1216#532—172no—
1217#532—172no—
1218#532—172no—
1219#532—172no—
1220#532—171no—
1221#532C2×D1711yescharacteristic
1222C2×C4⋊Q8—172no—
1223#529—174no—
1224#529—174no—
1225#529—172no—
1226#529—172no—
1227#529—172no—
1228#529—172no—
1229#529—174no—
1230#529—174no—
1231#529—174no—
1232#529—174no—
1233#529—174no—
1234#529—174no—
1235#529—174no—
1236#529—174no—
1237#529—174no—
1238#529—174no—
1239#529—174no—
1240#529—174no—
1241#529—174no—
1242#529—174no—
1243#529C2×D1714yes—
1244#529C2×D1714yes—
1245C2×#125—172no—
1246#525—172no—
1247#525—174no—
1248#525—174no—
1249#525C2×D1712yes—
1250C2×C22⋊Q8—172no—
1251C2×C22⋊Q8—172no—
1252C4×#41—172no—
1253C4×#41—172no—
1254C4×#41—174no—
1255C4×#41—174no—
1256C4×#41—174no—
1257C4×#41—172no—
1258C4×#41—172no—
1259C4×#41—172no—
1260C4×#41—174no—
1261C4×#41C2×D1712yes—
1262C2×C4×Q8—174no—
1263C2×C4×Q8—172no—
1264C2×C4×Q8—172no—
1265C2×C4×Q8—174no—
1266C2×#117—171no—
1267C2×#117C2×D1711yescharacteristic
1268C22×C42—171no—
1269C2×C17—22no—
1270C2×C17—44no—
1271C2×C17—41no—
1272C2×C17—41no—
1273C2×C17C22×2−1+411yescharacteristic
1274C2×C17C2×#58512yes—
1275D17—44no—
1276C2×#41—174no—
1277C2×#41—174no—
1278C2×#41—174no—
1279C2×#41—172no—
1280C2×#41—174no—
1281C2×#41C22×D1712yes—
1282C22×Q8—174no—
1283C22×Q8—172no—
1284C22×Q8—172no—
1285C22×Q8—174no—
1286C23×C4—172no—
1287C23×C4C22×D1711yescharacteristic
1288C4⋊Q8—172no—
1289C4⋊Q8—172no—
1290C4⋊Q8—174no—
1291C4⋊Q8—174no—
1292C4⋊Q8—174no—
1293C4⋊Q8—172no—
1294C4⋊Q8—172no—
1295C4⋊Q8—172no—
1296C4⋊Q8—172no—
1297C4⋊Q8—172no—
1298C4⋊Q8—172no—
1299C4⋊Q8—172no—
1300C4⋊Q8—172no—
1301C4⋊Q8—172no—
1302C4⋊Q8—172no—
1303C4⋊Q8—174no—
1304C4⋊Q8—174no—
1305C4⋊Q8—174no—
1306C4⋊Q8—174no—
1307C4⋊Q8—172no—
1308C4⋊Q8—172no—
1309C4⋊Q8—174no—
1310C4⋊Q8—174no—
1311C4⋊Q8—174no—
1312C4⋊Q8—171no—
1313C4⋊Q8—174no—
1314C4⋊Q8—172no—
1315C4⋊Q8—174no—
1316C4⋊Q8C22×D1711yescharacteristic
1317C4⋊Q8C22×D1712yes—
1318#127—172no—
1319#127—172no—
1320#127—171no—
1321#127C22×D1711yescharacteristic
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#126C22×D1714yes—
1351#126C22×D1714yes—
1352#126C22×D1714yes—
1353#126C22×D1714yes—
1354#125—172no—
1355#125—172no—
1356#125—172no—
1357#125—172no—
1358#125—172no—
1359#125—172no—
1360#125—172no—
1361#125—172no—
1362#125—174no—
1363#125—172no—
1364#125—172no—
1365#125—174no—
1366#125—174no—
1367#125—174no—
1368#125—174no—
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—174no—
1383#125—174no—
1384#125—174no—
1385#125—174no—
1386#125—174no—
1387#125—172no—
1388#125—172no—
1389#125—174no—
1390#125—174no—
1391#125—174no—
1392#125—171no—
1393#125—171no—
1394#125C22×D1714yes—
1395#125C22×D1714yes—
1396#125C22×D1711yescharacteristic
1397#125C22×D1711yescharacteristic
1398#124—172no—
1399#124—172no—
1400#124—172no—
1401#124—174no—
1402#124—174no—
1403#124—174no—
1404#124—172no—
1405#124—174no—
1406#124—174no—
1407#124—174no—
1408#124—174no—
1409#124—174no—
1410#124—174no—
1411#124—174no—
1412#124—174no—
1413#124—174no—
1414#124—174no—
1415#124—174no—
1416#124—172no—
1417#124C22×D1714yes—
1418#124C22×D1714yes—
1419#124C22×D1712yes—
1420#123—174no—
1421#123—174no—
1422#123—174no—
1423#123—174no—
1424#123—174no—
1425#123—174no—
1426#123—174no—
1427#123—174no—
1428#123—174no—
1429#123—174no—
1430#123—174no—
1431#123—174no—
1432#123—174no—
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#123C22×D1714yes—
1450#123C22×D1714yes—
1451#123C22×D1714yes—
1452#123C22×D1714yes—
1453#123C22×D1714yes—
1454C22⋊Q8—174no—
1455C22⋊Q8—174no—
1456C22⋊Q8—174no—
1457C22⋊Q8—172no—
1458C22⋊Q8—172no—
1459C22⋊Q8—174no—
1460C22⋊Q8—174no—
1461C22⋊Q8—174no—
1462C22⋊Q8—174no—
1463C22⋊Q8—174no—
1464C22⋊Q8—174no—
1465C22⋊Q8—174no—
1466C22⋊Q8—174no—
1467C22⋊Q8—174no—
1468C22⋊Q8—174no—
1469C22⋊Q8—174no—
1470C22⋊Q8—174no—
1471C22⋊Q8—174no—
1472C22⋊Q8—174no—
1473C22⋊Q8—174no—
1474C22⋊Q8—174no—
1475C22⋊Q8—174no—
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—172no—
1485C22⋊Q8—172no—
1486C22⋊Q8—172no—
1487C22⋊Q8—172no—
1488C22⋊Q8—172no—
1489C22⋊Q8—172no—
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—174no—
1514C22⋊Q8—174no—
1515C22⋊Q8C22×D1712yes—
1516C22⋊Q8C22×D1712yes—
1517C22⋊Q8C22×D1714yes—
1518C22⋊Q8C22×D1714yes—
1519C22⋊Q8C22×D1714yes—
1520#121—174no—
1521#121—174no—
1522#121—174no—
1523#121—174no—
1524#121—174no—
1525#121—174no—
1526#121—174no—
1527#121—174no—
1528#121—174no—
1529#121—174no—
1530#121—174no—
1531#121—174no—
1532#121—174no—
1533#121—172no—
1534#121—172no—
1535#121—174no—
1536#121—174no—
1537#121—174no—
1538#121—174no—
1539#121—174no—
1540#121—174no—
1541#121C22×D1712yes—
1542#121C22×D1712yes—
1543#121C22×D1714yes—
1544#121C22×D1714yes—
1545#121C22×D1714yes—
1546#120—174no—
1547#120C22×D1714yes—
1548C4×Q8—174no—
1549C4×Q8—172no—
1550C4×Q8—172no—
1551C4×Q8—172no—
1552C4×Q8—172no—
1553C4×Q8—174no—
1554C4×Q8—174no—
1555C4×Q8—174no—
1556C4×Q8—174no—
1557C4×Q8—174no—
1558C4×Q8—172no—
1559C4×Q8—172no—
1560C4×Q8—174no—
1561C4×Q8—172no—
1562C4×Q8—172no—
1563C4×Q8—172no—
1564C4×Q8—172no—
1565C4×Q8—174no—
1566C4×Q8—172no—
1567C4×Q8—172no—
1568C4×Q8—172no—
1569C4×Q8—172no—
1570C4×Q8—174no—
1571C4×Q8—174no—
1572C4×Q8—172no—
1573C4×Q8—172no—
1574C4×Q8—174no—
1575C4×Q8—172no—
1576C4×Q8—172no—
1577C4×Q8—172no—
1578C4×Q8—172no—
1579C4×Q8—172no—
1580C4×Q8—172no—
1581C4×Q8—172no—
1582C4×Q8—172no—
1583C4×Q8—174no—
1584C4×Q8—174no—
1585C4×Q8—174no—
1586C4×Q8—174no—
1587C4×Q8—174no—
1588C4×Q8—174no—
1589C4×Q8—172no—
1590C4×Q8—172no—
1591C4×Q8C22×D1714yes—
1592C4×Q8C22×D1712yes—
1593C4×Q8C22×D1712yes—
1594C4×D4—174no—
1595C4×D4—174no—
1596C4×D4—174no—
1597C4×D4—174no—
1598C4×D4—172no—
1599C4×D4—172no—
1600C4×D4—174no—
1601C4×D4—174no—
1602C4×D4—174no—
1603C4×D4—172no—
1604C4×D4—172no—
1605C4×D4—174no—
1606C4×D4—174no—
1607C4×D4—174no—
1608C4×D4—174no—
1609C4×D4—174no—
1610C4×D4—174no—
1611C4×D4—174no—
1612C4×D4—174no—
1613C4×D4—174no—
1614C4×D4—174no—
1615C4×D4—172no—
1616C4×D4—172no—
1617C4×D4—172no—
1618C4×D4—172no—
1619C4×D4—174no—
1620C4×D4—174no—
1621C4×D4—174no—
1622C4×D4—174no—
1623C4×D4—174no—
1624C4×D4—174no—
1625C4×D4—174no—
1626C4×D4—174no—
1627C4×D4—174no—
1628C4×D4—174no—
1629C4×D4—174no—
1630C4×D4—174no—
1631C4×D4—172no—
1632C4×D4—172no—
1633C4×D4C22×D1714yes—
1634C4×D4C22×D1714yes—
1635C4×D4C22×D1714yes—
1636C4×D4C22×D1714yes—
1637C4×D4C22×D1714yes—
1638C4×D4C22×D1712yes—
1639C4×D4C22×D1712yes—
1640#117—171no—
1641#117—171no—
1642#117—172no—
1643#117—171no—
1644#117—172no—
1645#117—171no—
1646#117—172no—
1647#117—174no—
1648#117—174no—
1649#117—174no—
1650#117—174no—
1651#117—174no—
1652#117—174no—
1653#117—174no—
1654#117—174no—
1655#117—174no—
1656#117—174no—
1657#117—174no—
1658#117—174no—
1659#117—174no—
1660#117—174no—
1661#117—174no—
1662#117—174no—
1663#117—174no—
1664#117C22×D1712yes—
1665#117C22×D1712yes—
1666#117C22×D1711yescharacteristic
1667#117C22×D1711yescharacteristic
1668#117C22×D1711yescharacteristic
1669#117C22×D1711yescharacteristic
1670#117C22×D1712yes—
1671#117C22×D1714yes—
1672C2×C4⋊C4—172no—
1673C2×C4⋊C4—172no—
1674C2×C4⋊C4—172no—
1675C2×C4⋊C4—172no—
1676C2×C4⋊C4—172no—
1677C2×C4⋊C4—172no—
1678C2×C4⋊C4—172no—
1679C2×C4⋊C4—174no—
1680C2×C4⋊C4—174no—
1681C2×C4⋊C4—174no—
1682C2×C4⋊C4—174no—
1683C2×C4⋊C4—174no—
1684C2×C4⋊C4—174no—
1685C2×C4⋊C4C22×D1712yes—
1686C2×C22⋊C4—171no—
1687C2×C22⋊C4—171no—
1688C2×C22⋊C4C22×D1712yes—
1689C2×C42—172no—
1690C2×C42—172no—
1691C2×C42—174no—
1692C2×C42—174no—
1693C2×C42—171no—
1694C2×C42—172no—
1695C2×C42—171no—
1696C2×C42—171no—
1697C2×C42—171no—
1698C2×C42—171no—
1699C2×C42—172no—
1700C2×C42—171no—
1701C2×C42—174no—
1702C2×C42—174no—
1703C2×C42—174no—
1704C2×C42C22×D1711yescharacteristic
1705C2×C42C22×D1711yescharacteristic
1706C2×C42C22×D1714yes—
1707C17#6276111yescharacteristic, complemented, Sylow
1708C24C23×D1711yescharacteristic
1709#41—28no—
1710#41—348no—
1711#41—688no—
1712#41—688no—
1713#41—688no—
1714#41—688no—
1715C2×Q8—172no—
1716C2×Q8—172no—
1717C2×Q8—172no—
1718C2×Q8—174no—
1719C2×Q8—172no—
1720C2×Q8—172no—
1721C2×Q8—172no—
1722C2×Q8—172no—
1723C2×Q8—174no—
1724C2×Q8—174no—
1725C2×Q8—172no—
1726C2×Q8—172no—
1727C2×Q8—174no—
1728C2×Q8—174no—
1729C2×Q8—684no—
1730C2×Q8—684no—
1731C2×Q8—688no—
1732C2×Q8—688no—
1733C2×Q8C23×D1712yes—
1734C2×Q8C23×D1714yes—
1735C2×D4—174no—
1736C2×D4—174no—
1737C2×D4—174no—
1738C2×D4—174no—
1739C2×D4—174no—
1740C2×D4—174no—
1741C2×D4—174no—
1742C2×D4—172no—
1743C2×D4—174no—
1744C2×D4C23×D1714yes—
1745C2×D4C23×D1712yes—
1746C2×D4C23×D1714yes—
1747C2×D4C23×D1714yes—
1748C2×D4C23×D1714yes—
1749C22×C4—24no—
1750C22×C4—172no—
1751C22×C4—172no—
1752C22×C4—172no—
1753C22×C4—174no—
1754C22×C4—172no—
1755C22×C4—172no—
1756C22×C4—172no—
1757C22×C4—172no—
1758C22×C4—172no—
1759C22×C4—174no—
1760C22×C4—174no—
1761C22×C4—174no—
1762C22×C4—174no—
1763C22×C4—174no—
1764C22×C4—174no—
1765C22×C4—174no—
1766C22×C4—174no—
1767C22×C4—174no—
1768C22×C4—174no—
1769C22×C4—684no—
1770C22×C4C23×D1711yescharacteristic
1771C22×C4C23×D1711yescharacteristic
1772C22×C4C23×D1711yescharacteristic
1773C22×C4C23×D1714yes—
1774C22×C4C23×D1711yescharacteristic
1775C22×C4C23×D1711yescharacteristic
1776C22×C4C23×D1712yes—
1777C22×C4C23×D1712yes—
1778C22×C4C23×D1714yes—
1779C22×C4C23×D1714yes—
1780C22×C4C23×D1711yescharacteristic
1781C4⋊C4—172no—
1782C4⋊C4—172no—
1783C4⋊C4—172no—
1784C4⋊C4—172no—
1785C4⋊C4—172no—
1786C4⋊C4—172no—
1787C4⋊C4—174no—
1788C4⋊C4—174no—
1789C4⋊C4—174no—
1790C4⋊C4—172no—
1791C4⋊C4—172no—
1792C4⋊C4—172no—
1793C4⋊C4—172no—
1794C4⋊C4—172no—
1795C4⋊C4—172no—
1796C4⋊C4—172no—
1797C4⋊C4—172no—
1798C4⋊C4—172no—
1799C4⋊C4—172no—
1800C4⋊C4—172no—
1801C4⋊C4—172no—
1802C4⋊C4—172no—
1803C4⋊C4—172no—
1804C4⋊C4—174no—
1805C4⋊C4—174no—
1806C4⋊C4—174no—
1807C4⋊C4—174no—
1808C4⋊C4—174no—
1809C4⋊C4—174no—
1810C4⋊C4—172no—
1811C4⋊C4—172no—
1812C4⋊C4—174no—
1813C4⋊C4—174no—
1814C4⋊C4—172no—
1815C4⋊C4—172no—
1816C4⋊C4—172no—
1817C4⋊C4—172no—
1818C4⋊C4—172no—
1819C4⋊C4—172no—
1820C4⋊C4—174no—
1821C4⋊C4—174no—
1822C4⋊C4—172no—
1823C4⋊C4—172no—
1824C4⋊C4—174no—
1825C4⋊C4—174no—
1826C4⋊C4—174no—
1827C4⋊C4—174no—
1828C4⋊C4—174no—
1829C4⋊C4—174no—
1830C4⋊C4—174no—
1831C4⋊C4—174no—
1832C4⋊C4—174no—
1833C4⋊C4—174no—
1834C4⋊C4—174no—
1835C4⋊C4—174no—
1836C4⋊C4—174no—
1837C4⋊C4—174no—
1838C4⋊C4—174no—
1839C4⋊C4—174no—
1840C4⋊C4—174no—
1841C4⋊C4—174no—
1842C4⋊C4—174no—
1843C4⋊C4C23×D1714yes—
1844C4⋊C4C23×D1714yes—
1845C4⋊C4C23×D1714yes—
1846C4⋊C4C23×D1712yes—
1847C4⋊C4C23×D1712yes—
1848C4⋊C4C23×D1712yes—
1849C4⋊C4C23×D1712yes—
1850C4⋊C4C23×D1714yes—
1851C4⋊C4C23×D1714yes—
1852C4⋊C4C23×D1714yes—
1853C4⋊C4C23×D1712yes—
1854C4⋊C4C23×D1712yes—
1855C4⋊C4C23×D1714yes—
1856C4⋊C4C23×D1714yes—
1857C22⋊C4—171no—
1858C22⋊C4—171no—
1859C22⋊C4—172no—
1860C22⋊C4—172no—
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—174no—
1873C22⋊C4—174no—
1874C22⋊C4—174no—
1875C22⋊C4—174no—
1876C22⋊C4—174no—
1877C22⋊C4—174no—
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⋊C4C23×D1712yes—
1889C22⋊C4C23×D1712yes—
1890C22⋊C4C23×D1712yes—
1891C22⋊C4C23×D1712yes—
1892C22⋊C4C23×D1714yes—
1893C22⋊C4C23×D1714yes—
1894C22⋊C4C23×D1714yes—
1895C22⋊C4C23×D1714yes—
1896C22⋊C4C23×D1714yes—
1897C22⋊C4C23×D1714yes—
1898C22⋊C4C23×D1714yes—
1899C22⋊C4C23×D1714yes—
1900C22⋊C4C23×D1714yes—
1901C42—171no—
1902C42—172no—
1903C42—171no—
1904C42—172no—
1905C42—172no—
1906C42—172no—
1907C42—171no—
1908C42—171no—
1909C42—174no—
1910C42—174no—
1911C42—174no—
1912C42—174no—
1913C42—172no—
1914C42—172no—
1915C42—174no—
1916C42—174no—
1917C42—174no—
1918C42—174no—
1919C42—174no—
1920C42—174no—
1921C42—172no—
1922C42—172no—
1923C42—172no—
1924C42—172no—
1925C42—174no—
1926C42C23×D1714yes—
1927C42C23×D1711yescharacteristic
1928C42C23×D1711yescharacteristic
1929C42C23×D1711yescharacteristic
1930C42C23×D1711yescharacteristic
1931C42C23×D1714yes—
1932C42C23×D1712yes—
1933C42C23×D1714yes—
1934C42C23×D1712yes—
1935C23—22no—
1936C23—42no—
1937C23—174no—
1938C23C24×D1711yescharacteristic
1939C23C24×D1711yescharacteristic
1940C23C24×D1714yes—
1941C23C24×D1711yescharacteristic
1942Q8—24no—
1943Q8—44no—
1944Q8—344no—
1945Q8—344no—
1946Q8—348no—
1947Q8—344no—
1948Q8—344no—
1949Q8—344no—
1950Q8—682no—
1951Q8—684no—
1952Q8—682no—
1953Q8—684no—
1954Q8—682no—
1955Q8—684no—
1956Q8—682no—
1957Q8—684no—
1958D4—28no—
1959D4—24no—
1960D4—44no—
1961D4—44no—
1962D4—44no—
1963D4—348no—
1964D4—348no—
1965D4—344no—
1966D4—684no—
1967D4—684no—
1968D4—684no—
1969D4—684no—
1970D4—684no—
1971D4—684no—
1972C2×C4—22no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—28no—
1978C2×C4—42no—
1979C2×C4—44no—
1980C2×C4—42no—
1981C2×C4—44no—
1982C2×C4—172no—
1983C2×C4—172no—
1984C2×C4—174no—
1985C2×C4—172no—
1986C2×C4—172no—
1987C2×C4—172no—
1988C2×C4—174no—
1989C2×C4—174no—
1990C2×C4—172no—
1991C2×C4—172no—
1992C2×C4—172no—
1993C2×C4—348no—
1994C2×C4—344no—
1995C2×C4—344no—
1996C2×C4—344no—
1997C2×C4—348no—
1998C2×C4—348no—
1999C2×C4—684no—
2000C2×C4—684no—
2001C2×C4—684no—
2002C2×C4—684no—
2003C2×C4—684no—
2004C2×C4—682no—
2005C2×C4—682no—
2006C2×C4—682no—
2007C2×C4—682no—
2008C2×C4—682no—
2009C2×C4—684no—
2010C2×C4—684no—
2011C2×C4—684no—
2012C2×C4#1058769714yes—
2013C2×C4C24×D1714yes—
2014C2×C4C24×D1711yescharacteristic
2015C2×C4C24×D1711yescharacteristic
2016C2×C4C24×D1712yes—
2017C2×C4C24×D1714yes—
2018C2×C4C24×D1714yes—
2019C2×C4C24×D1712yes—
2020C2×C4C24×D1712yes—
2021C2×C4C24×D1712yes—
2022C2×C4C24×D1711yescharacteristic
2023C2×C4C24×D1711yescharacteristic
2024C22—22no—
2025C22—21no—
2026C22—21no—
2027C22—24no—
2028C22—24no—
2029C22—24no—
2030C22—22no—
2031C22—22no—
2032C22—44no—
2033C22—344no—
2034C22—344no—
2035C22—344no—
2036C22C2×#1058769712yes—
2037C22C25×D1711yescharacteristic
2038C4—21no—
2039C4—21no—
2040C4—24no—
2041C4—22no—
2042C4—22no—
2043C4—24no—
2044C4—22no—
2045C4—24no—
2046C4—22no—
2047C4—174no—
2048C4—344no—
2049C4—342no—
2050C4—342no—
2051C4—344no—
2052C4—342no—
2053C4—342no—
2054C4—342no—
2055C4—344no—
2056C4—342no—
2057C4—342no—
2058C4C2×#1058769712yes—
2059C4C2×#1058769712yes—
2060C2—22no—
2061C2—41no—
2062C2—41no—
2063C2—44no—
2064C2—684no—
2065C2C22×#1058769711yescharacteristic
2066C2D17×#58512yes—
subgroupG/H
centerC2×C4C24×D17
commutator, socle, cosocleC22×C17C26
FrattiniC22C25×D17
FittingC17×#3455C2
hypercenter#3455D17
hypocenterC17#62761
LCSG ▷ C22×C17 ▷ C17
UCSC1 ◁ C2×C4 ◁ #3455

Complements

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

NH ≅ G/Ntype
1. #14543292C2semidirect
2. #14543289C2semidirect
3. #14543283C2semidirect
4. #14543277C2semidirect
5. #14543270C2semidirect
6. #14543262C2semidirect
7. #14543253C2semidirect
8. #14543245C2semidirect
9. #14543234C2semidirect
10. #14543217C2semidirect
11. #14543192C2semidirect
12. #14543178C2semidirect
13. #14543072C2semidirect
14. #14543064C2semidirect
15. #14542929C2semidirect
16. #14542397C2semidirect
17. #14542381C2semidirect
18. #14542377C2semidirect
19. #41×Dic34C2semidirect
20. #14542362C2semidirect
21. #14542213C2semidirect
22. #14542209C2semidirect
23. #14542174C2semidirect
24. #14542172C2semidirect
25. #14542076C2semidirect
26. C2×#11763362C2semidirect
27. C17×#3455C2semidirect
28. C17⋊#564C22semidirect
29. #11763563C22semidirect
31. #11763562C22semidirect
34. #11763561C22semidirect
35. #11763561C22semidirect
36. #11763560C22semidirect
37. #11763560C22semidirect
40. #11763556C22semidirect
44. #11763545C22semidirect
45. #11763544C22semidirect
46. #11763542C22semidirect
47. #11763542C22semidirect
48. #11763541C22semidirect
49. #11763541C22semidirect
50. Q8×Dic34C22semidirect
51. #11763539C22semidirect
52. #11763538C22semidirect
53. #11763537C22semidirect
54. #11763536C22semidirect
55. #11763536C22semidirect
56. #11763536C22semidirect
57. #11763535C22semidirect
58. #11763535C22semidirect
59. #11763534C22semidirect
60. #11763534C22semidirect
61. #11763533C22semidirect
62. #11763531C22semidirect
63. #11763531C22semidirect
64. #11763529C22semidirect
66. #11763528C22semidirect
67. #11763528C22semidirect
69. #11763526C22semidirect
70. #11763520C22semidirect
73. #11763518C22semidirect
74. #11763518C22semidirect
77. #11763516C22semidirect
78. #11763515C22semidirect
79. #11763515C22semidirect
88. #11763501C22semidirect
89. #11763497C22semidirect
91. #11763496C22semidirect
93. #11763495C22semidirect
94. #11763480C22semidirect
95. #11763479C22semidirect
97. D4×Dic34C22semidirect
98. #11763474C22semidirect
100. #11763472C22semidirect
107. #11763457C22semidirect
108. #11763439C22semidirect
109. #11763438C22semidirect
116. #11763427C22semidirect
121. #11763425C22semidirect
124. #11763422C22semidirect
129. #11763419C22semidirect
130. #11763418C22semidirect
131. #11763418C22semidirect
134. #11763416C22semidirect
135. #11763416C22semidirect
140. #11763408C22semidirect
146. #11763403C22semidirect
148. #11763402C22semidirect
150. #11763400C22semidirect
156. #11763382C22semidirect
158. #11763381C22semidirect
161. #11763366C22semidirect
162. #11763363C22semidirect
163. #11763363C22semidirect
164. #11763363C22semidirect
177. #11763362C22semidirect
178. #11763362C22semidirect
189. #11763343C22semidirect
192. #11763341C22semidirect
199. #11763339C22semidirect
200. #11763339C22semidirect
203. #11763337C22semidirect
204. #11763337C22semidirect
216. C4×#63252C22semidirect
221. C4×#63254C22semidirect
224. C2×C4×Dic34C22semidirect
225. C4×Q8×D17C22semidirect
1015. #3455D17semidirect
1707. C17#62761semidirect

Maximal subgroups

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

subgroupindex
#145432922
#145432892
#145432832
#145432772
#145432702
#145432622
#145432532
#145432452
#145432342
#145432172
#145431922
#145431782
#145430722
#145430642
#145429292
#145423972
#145423812
#145423772
#41×Dic342
#145423622
#145422132
#145422092
#145421742
#145421722
#145420762
C2×#117633622
C17×#34552
#6276117