Finite Group Databasebeta

← #17898005

Subgroups — #17898005

Order 4352.

2694 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763575C211yesmaximal, characteristic
2#14541985C211yesmaximal, characteristic
3C2×#11763290C211yesmaximal, characteristic
4#14537383C214yesmaximal, complemented
5#14537380C214yesmaximal, complemented
6#14537378C214yesmaximal, complemented
7#14537375C214yesmaximal, complemented
8#14537374C211yesmaximal, characteristic, complemented
9#14537373C211yesmaximal, characteristic, complemented
10#14537371C214yesmaximal, complemented
11C2×#11762849C211yesmaximal, characteristic, complemented
12D17×#428C214yesmaximal, complemented
13C2×C17×#428C211yesmaximal, characteristic, complemented
14C22×#63252C2211yescharacteristic
15#11763575C4116yescomplemented
16C2×#10587593C2214yes—
17C2×#10587587C2214yes—
18C22×#63223C2211yescharacteristic
19C2×M16×D17C2214yes—
20#11763290—22no—
21#11763290—22no—
22#11763290C2214yes—
23#11763290C2214yes—
24#11763290C2212yes—
25#11763290C2212yes—
26#11763289C2212yes—
27#11763289C2212yes—
28#11763286—21no—
29#11763283—21no—
30#11763282—22no—
31C4×#63252—22no—
32#11763277—22no—
33C2×#10587573—21no—
34C2×#10587579—21no—
35C2×C4×C22⋊D17—22no—
36C2×#10587612C2211yescharacteristic
37C2×#10587612C2211yescharacteristic
38C2×#10587578C2212yes—
39#117×D17C2214yes—
40C2×C4⋊C4×D17C2212yes—
41#11762852C2212yes—
42#11762852C2212yes—
43#11762851C2212yes—
44#11762851C2212yes—
45#11762851C2212yescomplemented
46#11762851C2212yescomplemented
47#11762850C2218yescomplemented
48#11762850C2218yescomplemented
49#11762849C2214yes—
50#11762849C2214yescomplemented
51#11762849C2212yescomplemented
52#11762849C2212yescomplemented
53#11762848C2218yescomplemented
54#11762848C2218yescomplemented
55#11762847C2214yescomplemented
56#11762846C2218yescomplemented
57#11762845C2214yescomplemented
58#11762844C2218yescomplemented
59C2×#10587478C2212yescomplemented
60#107×D17C2218yescomplemented
61C2×#10587479C2212yescomplemented
62#106×D17C2218yescomplemented
63C22×M16×C17C2211yescharacteristic
64C2×C17×#117C2211yescharacteristic
65C22×C4⋊C4×C17C2211yescharacteristic
66C17×#428C2214yes—
67C17×#428C2214yescomplemented
68C2×C17×#107C2212yescomplemented
69C2×C17×#106C2212yescomplemented
70C23×C4×C17—21no—
71C23×C4×C17C2311yescharacteristic
72C22×C22⋊D17D412yes—
73C2×#63252C2×C418yes—
74C2×#63252D412yes—
75C2×#63252D412yes—
76C2×#63252Q818yes—
77C2×#63252C2312yes—
78C2×#63252C2312yes—
79C22×D68D411yescharacteristic
80C22×C4×D17—22no—
81C22×C4×D17C2312yes—
82C22×Dic34D411yescharacteristic
83C2×M16×C17C2×C418yescomplemented
84C2×M16×C17C2312yes—
85C2×M16×C17C2312yes—
86C22×C8×C17C2312yes—
87C17×#117—21no—
88C17×#117—21no—
89C17×#117C2312yes—
90C17×#117C2312yes—
91C2×C4⋊C4×C17—21no—
92C2×C4⋊C4×C17—21no—
93C2×C4⋊C4×C17—21no—
94C2×C4⋊C4×C17C2312yes—
95C2×C4⋊C4×C17C2312yes—
96C2×C4⋊C4×C17C2312yes—
97C2×C4⋊C4×C17C2311yescharacteristic
98C2×C4⋊C4×C17C2311yescharacteristic
99C2×C22⋊C4×C17—21no—
100C2×C42×C17—21no—
101C2×C22⋊Dic17—21no—
102C2×C22⋊Dic17—21no—
103C4×C22⋊D17—28no—
104C4×C22⋊D17—28no—
105C4×C22⋊D17—24no—
106C4×C22⋊D17—24no—
107C2×#63227—22no—
108#10587612—21no—
109#10587612—21no—
110#10587612—21no—
111#10587612—21no—
112#10587612C2312yes—
113#10587612C2312yes—
114#10587612C2312yes—
115#10587612C2312yes—
116C2×C4⋊Dic17C2311yescharacteristic
117C2×C4⋊Dic17C2311yescharacteristic
118C2×C4⋊Dic17C2311yescharacteristic
119C2×C4⋊Dic17C2311yescharacteristic
120C2×#63225—22no—
121C2×C4×Dic17—21no—
122C2×C4×Dic17—21no—
123C2×C4×Dic17—22no—
124C2×#63223C2×C418yescomplemented
125C2×#63223C2312yes—
126C2×#63223C2312yes—
127C22×#3622C2312yes—
128#10587593C2×C4132yescomplemented
129M16×D17C2×C4132yescomplemented
130#10587587C2×C4132yescomplemented
131C2×#63218C2318yes—
132C2×C8×D17C2318yes—
133#10587579—24no—
134#10587579—24no—
135#10587579—22no—
136#10587579—22no—
137#10587578—24no—
138#10587578C2314yes—
139#10587578C2314yes—
140#10587578C2318yes—
141C4⋊C4×D17—24no—
142C4⋊C4×D17C2318yes—
143C4⋊C4×D17C2314yes—
144C4⋊C4×D17C2314yes—
145#10587573—24no—
146#10587573—24no—
147#10587573—22no—
148#10587573—22no—
149#10587567—24no—
150#10587567—24no—
151C22⋊C4×D17—24no—
152#10587563—24no—
153C4×D68—22no—
154C4×D68—22no—
155#10587558—24no—
156C42×D17—24no—
157C4×Dic34—22no—
158C4×Dic34—22no—
159C17×#107C2318yes—
160C17×#106C2318yes—
161#10587489C2314yes—
162#10587489C2314yes—
163#10587488C2314yes—
164#10587488C2314yes—
165#10587479C2314yes—
166#10587479C2318yes—
167#10587479C2314yes—
168#10587478C2314yes—
169#10587478C2318yes—
170#10587478C2314yes—
171C24×C17C2×D411yescharacteristic
172C23×D17C2×D412yes—
173C22×C4×C17—22no—
174C22×C4×C17—22no—
175C22×C4×C17—22no—
176C22×C4×C17—21no—
177C22×C4×C17—21no—
178C22×C4×C17—82no—
179C22×C4×C17C22×C414yes—
180C22×C4×C17C2×D411yescharacteristic
181C22×C4×C17C2×D411yescharacteristic
182C22×C4×C17C2×D411yescharacteristic
183C22×C4×C17C2×Q814yes—
184C22×C4×C17C2411yescharacteristic
185C22×C4×C17C2411yescharacteristic
186C22×C4×C17C2411yescharacteristic
187C2×C22⋊D17C4⋊C4116yes—
188C2×C22⋊D17C2×D414yes—
189C2×C22⋊D17C2×D414yes—
190C22×Dic17—21no—
191C22×Dic17—21no—
192C22×Dic17—21no—
193C22×Dic17—21no—
194C22×Dic17C2×D412yes—
195#63252C4⋊C4116yes—
196#63252C4⋊C4116yes—
197#63252C22×C418yes—
198#63252C22×C418yes—
199#63252C2×Q818yes—
200#63252C2×Q818yes—
201C2×D68C4⋊C418yes—
202C2×D68C2×D412yes—
203C2×D68C2×D412yes—
204C2×C4×D17—28no—
205C2×C4×D17—24no—
206C2×C4×D17—24no—
207C2×C4×D17—84no—
208C2×C4×D17C22×C418yes—
209C2×C4×D17C2×D414yes—
210C2×C4×D17C2×Q818yes—
211C2×C4×D17C2414yes—
212C2×Dic34C4⋊C418yes—
213C2×Dic34C2×D412yes—
214C2×Dic34C2×D412yes—
215M16×C17C22×C418yes—
216M16×C17C22×C418yescomplemented
217C2×C8×C17C22×C418yescomplemented
218C2×C8×C17C2414yes—
219C4⋊C4×C17—22no—
220C4⋊C4×C17—22no—
221C4⋊C4×C17—21no—
222C4⋊C4×C17—21no—
223C4⋊C4×C17—22no—
224C4⋊C4×C17C2412yes—
225C4⋊C4×C17C2414yes—
226C4⋊C4×C17C2412yes—
227C22⋊C4×C17—22no—
228C22⋊C4×C17—22no—
229C42×C17—22no—
230C42×C17—22no—
231C22⋊Dic17—22no—
232C22⋊Dic17—22no—
233C22⋊Dic17—22no—
234C22⋊Dic17—22no—
235#63227—24no—
236#63227—24no—
237#63227—28no—
238C4⋊Dic17—21no—
239C4⋊Dic17—21no—
240C4⋊Dic17—21no—
241C4⋊Dic17—21no—
242C4⋊Dic17C2412yes—
243C4⋊Dic17C2412yes—
244C4⋊Dic17C2412yes—
245C4⋊Dic17C2412yes—
246#63225—24no—
247#63225—24no—
248#63225—28no—
249C4×Dic17—22no—
250C4×Dic17—22no—
251C4×Dic17—22no—
252C4×Dic17—22no—
253C4×Dic17—24no—
254C4×Dic17—24no—
255C4×Dic17—28no—
256#63223C22×C418yes—
257#63223C22×C418yescomplemented
258C2×#3622C22×C418yescomplemented
259C2×#3622C2414yes—
260#63218C22×C4132yescomplemented
261C8×D17C22×C4132yescomplemented
262#60109—171nomaximal, Sylow
263C23×C17—41no—
264C23×C17—41no—
265C23×C17C2×C4⋊C414yes—
266C23×C17C22×D411yescharacteristic
267C23×C17C22×D411yescharacteristic
268C23×C17C22×D411yescharacteristic
269C22×D17—42no—
270C22×D17—42no—
271C22×D17C2×C4⋊C418yes—
272C22×D17C22×D414yes—
273C2×C4×C17—22no—
274C2×C4×C17—22no—
275C2×C4×C17—24no—
276C2×C4×C17—44no—
277C2×C4×C17—81no—
278C2×C4×C17—81no—
279C2×C4×C17—82no—
280C2×C4×C17—82no—
281C2×C4×C17C2×C4⋊C414yes—
282C2×C4×C17C2×C4⋊C414yes—
283C2×C4×C17C2×C4⋊C414yes—
284C2×C4×C17C23×C412yes—
285C2×C4×C17C23×C412yes—
286C2×C4×C17C23×C412yes—
287C2×C4×C17C22×D411yescharacteristic
288C2×C4×C17C22×D411yescharacteristic
289C2×C4×C17C22×D411yescharacteristic
290C2×C4×C17C22×Q812yes—
291C2×C4×C17C22×Q812yes—
292C2×C4×C17C22×Q812yes—
293C2×C4×C17C2511yescharacteristic
294C22⋊D17C2×C4⋊C4116yes—
295C22⋊D17C2×C4⋊C4116yes—
296C2×Dic17—22no—
297C2×Dic17—22no—
298C2×Dic17—22no—
299C2×Dic17—22no—
300C2×Dic17—42no—
301C2×Dic17—42no—
302C2×Dic17—81no—
303C2×Dic17—81no—
304C2×Dic17C2×C4⋊C418yes—
305C2×Dic17C22×D414yes—
306D68C2×C4⋊C418yes—
307D68C2×C4⋊C418yes—
308C4×D17—84no—
309C4×D17—84no—
310C4×D17—88no—
311C4×D17C2×C4⋊C4116yes—
312C4×D17C23×C418yes—
313C4×D17C22×Q818yes—
314Dic34C2×C4⋊C418yes—
315Dic34C2×C4⋊C418yes—
316C8×C17C23×C418yes—
317#3622C23×C418yes—
318C2×#568—171no—
319#3428—171no—
320C2×#520—171no—
321#2913—174no—
322#2913—174no—
323#2912—174no—
324#2912—174no—
325#2911—174no—
326#2911—171no—
327#2911—171no—
328C2×#428—174no—
329C2×#428—171no—
330C2×#428D1711yescharacteristic, complemented
331C22×C17—21no—
332C22×C17—21no—
333C22×C17—21no—
334C22×C17—21no—
335C22×C17—21no—
336C22×C17—21no—
337C22×C17—44no—
338C22×C17C22×C4⋊C412yes—
339C22×C17C22×C4⋊C412yes—
340C22×C17C22×C4⋊C412yes—
341C22×C17C23×D411yescharacteristic
342C2×D17—24no—
343C2×D17—24no—
344C2×D17—48no—
345C2×D17C22×C4⋊C418yes—
346C4×C17—44no—
347C4×C17—42no—
348C4×C17—42no—
349C4×C17C22×C4⋊C412yes—
350C4×C17C22×C4⋊C412yes—
351C4×C17C22×C4⋊C412yes—
352C4×C17C24×C411yescharacteristic
353C4×C17C23×Q811yescharacteristic
354Dic17—42no—
355Dic17—42no—
356Dic17—42no—
357Dic17—42no—
358Dic17C22×C4⋊C418yes—
359C22×#41—171no—
360#568—1716no—
361C2×#131—174no—
362C2×#131—174no—
363C22×M16—171no—
364C22×M16—174no—
365C22×M16C2×D1711yescharacteristic
366#520—172no—
367#520—172no—
368#520—172no—
369#520—174no—
370#520—174no—
371#520—172no—
372#520—342no—
373#520—342no—
374#519—341no—
375#518—342no—
376#518—341no—
377C4×#41—342no—
378C4×#41—342no—
379C2×C4×Q8—341no—
380C2×C4×D4—341no—
381C2×C4×D4—342no—
382C2×#117—171no—
383C2×#117—171no—
384C2×#117—174no—
385C2×#117—172no—
386C2×#117C2×D1711yescharacteristic
387C22×C4⋊C4—172no—
388C22×C4⋊C4C2×D1711yescharacteristic
389#428—172no—
390#428—172no—
391#428—172no—
392#428—172no—
393#428—172no—
394#428—172no—
395#428—174no—
396#428—174no—
397#428—172no—
398#428—172no—
399#428—178no—
400#428—178no—
401#428—178no—
402#428—178no—
403#428C2×D1714yes—
404#428C2×D1714yescomplemented
405#427—174no—
406#427—174no—
407#427—178no—
408#427—178no—
409C2×#107—172no—
410C2×#107—178no—
411C2×#107C2×D1712yescomplemented
412C2×#106—172no—
413C2×#106—178no—
414C2×#106C2×D1712yescomplemented
415C2×C17—22no—
416C2×C17—22no—
417C2×C17—22no—
418C2×C17C23×C4⋊C411yescharacteristic
419C2×C17#358511yescharacteristic
420C2×C17#358611yescharacteristic
421D17—28no—
422C2×#41—178no—
423C2×#41—172no—
424C2×#41—172no—
425C2×#41—178no—
426C2×#41—172no—
427C2×#41—172no—
428C22×Q8—171no—
429C22×D4—172no—
430C22×D4—171no—
431C23×C4—21no—
432C23×C4—172no—
433C23×C4—342no—
434C23×C4C22×D1711yescharacteristic
435#131—1732no—
436#131—1732no—
437C2×M16—178no—
438C2×M16—172no—
439C2×M16—172no—
440C2×M16—1732no—
441C2×M16—178no—
442C2×M16C4×D1718yescomplemented
443C2×M16C22×D1712yes—
444C2×M16C22×D1712yes—
445C22×C8—172no—
446C22×C8—178no—
447C22×C8C22×D1712yes—
448C4×Q8—342no—
449C4×Q8—342no—
450C4×Q8—344no—
451C4×Q8—344no—
452C4×Q8—342no—
453C4×Q8—342no—
454C4×D4—342no—
455C4×D4—342no—
456C4×D4—344no—
457C4×D4—344no—
458C4×D4—344no—
459C4×D4—344no—
460C4×D4—342no—
461C4×D4—342no—
462C4×D4—348no—
463C4×D4—348no—
464C4×D4—344no—
465C4×D4—344no—
466#117—21no—
467#117—21no—
468#117—172no—
469#117—172no—
470#117—172no—
471#117—172no—
472#117—174no—
473#117—178no—
474#117—174no—
475#117—344no—
476#117—344no—
477#117—344no—
478#117—341no—
479#117—341no—
480#117—341no—
481#117—341no—
482#117C22×D1712yes—
483#117C22×D1712yes—
484C2×C4⋊C4—21no—
485C2×C4⋊C4—21no—
486C2×C4⋊C4—21no—
487C2×C4⋊C4—171no—
488C2×C4⋊C4—171no—
489C2×C4⋊C4—171no—
490C2×C4⋊C4—171no—
491C2×C4⋊C4—178no—
492C2×C4⋊C4—174no—
493C2×C4⋊C4—174no—
494C2×C4⋊C4—344no—
495C2×C4⋊C4—342no—
496C2×C4⋊C4C22×D1712yes—
497C2×C4⋊C4C22×D1712yes—
498C2×C4⋊C4C22×D1712yes—
499C2×C4⋊C4C22×D1711yescharacteristic
500C2×C4⋊C4C22×D1711yescharacteristic
501C2×C22⋊C4—21no—
502C2×C22⋊C4—344no—
503C2×C22⋊C4—342no—
504C2×C22⋊C4—341no—
505C2×C22⋊C4—341no—
506C2×C42—21no—
507C2×C42—344no—
508C2×C42—342no—
509C2×C42—341no—
510C2×C42—341no—
511#107—174no—
512#107—174no—
513#107—174no—
514#107—178no—
515#107—174no—
516#107C22×D1718yes—
517#106—174no—
518#106—174no—
519#106—178no—
520#106—174no—
521#106—174no—
522#106C22×D1718yes—
523C17#6010911yescharacteristic, complemented, Sylow
524C24—172no—
525C24D4×D1711yescharacteristic
526#41—178no—
527#41—178no—
528#41—178no—
529#41—178no—
530#41—1716no—
531#41—1716no—
532C2×Q8—172no—
533C2×Q8—172no—
534C2×Q8—178no—
535C2×D4—174no—
536C2×D4—174no—
537C2×D4—1716no—
538C2×D4—172no—
539C2×D4—172no—
540C2×D4—178no—
541C22×C4—22no—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—82no—
547C22×C4—172no—
548C22×C4—178no—
549C22×C4—174no—
550C22×C4—178no—
551C22×C4—174no—
552C22×C4—344no—
553C22×C4—344no—
554C22×C4—348no—
555C22×C4—341no—
556C22×C4—341no—
557C22×C4—341no—
558C22×C4—341no—
559C22×C4—1364no—
560C22×C4C2×C4×D1714yes—
561C22×C4D4×D1711yescharacteristic
562C22×C4D4×D1711yescharacteristic
563C22×C4D4×D1711yescharacteristic
564C22×C4Q8×D1714yes—
565C22×C4C23×D1711yescharacteristic
566C22×C4C23×D1711yescharacteristic
567C22×C4C23×D1711yescharacteristic
568M16—178no—
569M16—178no—
570M16—1732no—
571M16C2×C4×D1718yes—
572M16C2×C4×D1718yescomplemented
573C2×C8—178no—
574C2×C8—174no—
575C2×C8—1732no—
576C2×C8C2×C4×D1718yescomplemented
577C2×C8C23×D1714yes—
578C4⋊C4—22no—
579C4⋊C4—22no—
580C4⋊C4—22no—
581C4⋊C4—21no—
582C4⋊C4—21no—
583C4⋊C4—172no—
584C4⋊C4—172no—
585C4⋊C4—172no—
586C4⋊C4—172no—
587C4⋊C4—348no—
588C4⋊C4—344no—
589C4⋊C4—344no—
590C4⋊C4—341no—
591C4⋊C4—341no—
592C4⋊C4—341no—
593C4⋊C4—341no—
594C4⋊C4C23×D1712yes—
595C4⋊C4C23×D1714yes—
596C4⋊C4C23×D1712yes—
597C22⋊C4—22no—
598C22⋊C4—22no—
599C22⋊C4—344no—
600C22⋊C4—344no—
601C22⋊C4—348no—
602C22⋊C4—342no—
603C22⋊C4—342no—
604C22⋊C4—342no—
605C22⋊C4—342no—
606C42—22no—
607C42—22no—
608C42—344no—
609C42—344no—
610C42—348no—
611C42—342no—
612C42—342no—
613C42—342no—
614C42—342no—
615C23—41no—
616C23—41no—
617C23—174no—
618C23—178no—
619C23—682no—
620C23—682no—
621C23C4⋊C4×D1714yes—
622C23C2×D4×D1711yescharacteristic
623C23C2×D4×D1711yescharacteristic
624C23C2×D4×D1711yescharacteristic
625Q8—178no—
626Q8—178no—
627D4—1716no—
628D4—1716no—
629D4—178no—
630D4—178no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—24no—
634C2×C4—44no—
635C2×C4—82no—
636C2×C4—82no—
637C2×C4—81no—
638C2×C4—81no—
639C2×C4—178no—
640C2×C4—174no—
641C2×C4—1716no—
642C2×C4—178no—
643C2×C4—178no—
644C2×C4—342no—
645C2×C4—342no—
646C2×C4—342no—
647C2×C4—342no—
648C2×C4—682no—
649C2×C4—682no—
650C2×C4—1368no—
651C2×C4—1364no—
652C2×C4—1364no—
653C2×C4—1361no—
654C2×C4—1361no—
655C2×C4C4⋊C4×D1714yes—
656C2×C4C4⋊C4×D1714yes—
657C2×C4C4⋊C4×D1714yes—
658C2×C4C22×C4×D1712yes—
659C2×C4C22×C4×D1712yes—
660C2×C4C22×C4×D1712yes—
661C2×C4C2×D4×D1711yescharacteristic
662C2×C4C2×D4×D1711yescharacteristic
663C2×C4C2×D4×D1711yescharacteristic
664C2×C4C2×Q8×D1712yes—
665C2×C4C2×Q8×D1712yes—
666C2×C4C2×Q8×D1712yes—
667C2×C4C24×D1711yescharacteristic
668C8—178no—
669C8C22×C4×D1718yes—
670C22—21no—
671C22—21no—
672C22—21no—
673C22—21no—
674C22—21no—
675C22—21no—
676C22—44no—
677C22—178no—
678C22—344no—
679C22—344no—
680C22—688no—
681C22C2×C4⋊C4×D1712yes—
682C22C2×C4⋊C4×D1712yes—
683C22C2×C4⋊C4×D1712yes—
684C22C22×D4×D1711yescharacteristic
685C4—44no—
686C4—42no—
687C4—42no—
688C4—178no—
689C4—682no—
690C4—682no—
691C4—682no—
692C4—682no—
693C4C2×C4⋊C4×D1712yes—
694C4C2×C4⋊C4×D1712yes—
695C4C2×C4⋊C4×D1712yes—
696C4C23×C4×D1711yescharacteristic
697C4C22×Q8×D1711yescharacteristic
698C2—22no—
699C2—22no—
700C2—22no—
701C2—348no—
702C2C22×C4⋊C4×D1711yescharacteristic
703C2#1454356011yescharacteristic
704C2#1454356711yescharacteristic
subgroupG/H
centerC22C22×D4×D17
commutatorC4×C17C24×C4
FrattiniC2×C4C24×D17
FittingC2×C17×#428C2
socleC22×C17C23×D4
prime radicalC22×#63252C22
cosocleC2×C4×C17C25
hypercenterC2×#428D17
hypocenterC17#60109
LCSG ▷ C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#428

Complements

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

NH ≅ G/Ntype
4. #14537383C2semidirect
5. #14537380C2semidirect
6. #14537378C2semidirect
7. #14537375C2semidirect
8. #14537374C2semidirect
9. #14537373C2semidirect
10. #14537371C2semidirect
11. C2×#11762849C2semidirect
12. D17×#428C2semidirect
13. C2×C17×#428C2semidirect
15. #11763575C4semidirect
45. #11762851C22semidirect
46. #11762851C22semidirect
47. #11762850C22semidirect
48. #11762850C22semidirect
50. #11762849C22semidirect
51. #11762849C22semidirect
52. #11762849C22semidirect
53. #11762848C22semidirect
54. #11762848C22semidirect
55. #11762847C22semidirect
56. #11762846C22semidirect
57. #11762845C22semidirect
58. #11762844C22semidirect
59. C2×#10587478C22semidirect
60. #107×D17C22semidirect
61. C2×#10587479C22semidirect
62. #106×D17C22semidirect
67. C17×#428C22semidirect
68. C2×C17×#107C22semidirect
69. C2×C17×#106C22semidirect
83. C2×M16×C17C2×C4semidirect
124. C2×#63223C2×C4semidirect
128. #10587593C2×C4semidirect
129. M16×D17C2×C4semidirect
130. #10587587C2×C4semidirect
216. M16×C17C22×C4semidirect
217. C2×C8×C17C22×C4semidirect
257. #63223C22×C4semidirect
258. C2×#3622C22×C4semidirect
260. #63218C22×C4semidirect
261. C8×D17C22×C4semidirect
330. C2×#428D17semidirect
404. #428C2×D17semidirect
411. C2×#107C2×D17semidirect
414. C2×#106C2×D17semidirect
442. C2×M16C4×D17semidirect
523. C17#60109semidirect
572. M16C2×C4×D17semidirect
576. C2×C8C2×C4×D17semidirect

Maximal subgroups

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

subgroupindex
C2×#117635752
#145419852
C2×#117632902
#145373832
#145373802
#145373782
#145373752
#145373742
#145373732
#145373712
C2×#117628492
D17×#4282
C2×C17×#4282
#6010917