Finite Group Databasebeta

← C2×#14538705 #17902100

Subgroups — C2×#14538705 #17902100

Order 4352.

2650 conjugacy classes of subgroups.

The subgroup lattice has 686 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763316C211yesmaximal, characteristic
2C22×C4⋊C4×D17C211yesmaximal, characteristic, complemented
3#14538705C2116yesmaximal, direct product factor
4C2×#11763143C212yesmaximal, complemented
5C2×#11763126C212yesmaximal, complemented
6C2×#11763138C212yesmaximal, complemented
7C2×#11763121C212yesmaximal, complemented
8C2×#11762851C211yesmaximal, characteristic, complemented
9C2×#11762849C211yesmaximal, characteristic, complemented
10C2×#11762810C211yesmaximal, characteristic, complemented
11C2×#11762772C211yesmaximal, characteristic, complemented
12C2×C17×#417C211yesmaximal, characteristic, complemented
13C23×C4×D17—21no—
14C23×C4×D17C2211yescharacteristic
15C22×#63223C2211yescharacteristic
16#11763316—24no—
17#11763316C2218yes—
18C2×#10587621—21no—
19C2×#10587632C2211yescharacteristic
20C2×#10587632C2211yescharacteristic
21C2×#10587624C2211yescharacteristic
22C2×#10587624C2211yescharacteristic
23C2×#10587623—21no—
24C2×C4×C22⋊D17—21no—
25C2×C4×C22⋊D17—21no—
26C2×#10587612C2211yescharacteristic
27C22×C4⋊Dic17C2211yescharacteristic
28C22×#63225—21no—
29C2×C4⋊C4×D17—21no—
30C2×C4⋊C4×D17—21no—
31C2×C4⋊C4×D17—24no—
32C2×C4⋊C4×D17C2212yes—
33C2×C4⋊C4×D17C2212yes—
34C2×C4⋊C4×D17C2218yescomplemented
35#11763143C22116yescomplemented
36#11763138C22116yescomplemented
37#11763126C22116yescomplemented
38#11763121C22116yescomplemented
39#11762851C2218yescomplemented
40#11762849C2218yescomplemented
41C2×#10587489C2212yescomplemented
42C2×#10587478C2212yescomplemented
43C2×#10587488C2212yescomplemented
44C2×#10587479C2212yescomplemented
45#11762810C2218yescomplemented
46C2×#10587506C2212yescomplemented
47C2×#10587503C2212yescomplemented
48#11762772C2218yescomplemented
49C2×#10587491C2212yes—
50C2×#10587491C2212yes—
51C22×#41×C17C2211yescharacteristic
52C22×M16×C17C2211yescharacteristic
53C22×C4⋊C4×C17C2211yescharacteristic
54C17×#417C2218yescomplemented
55C2×C17×#103C2212yescomplemented
56C2×C17×#102C2212yescomplemented
57C24×D17D411yescharacteristic
58C2×#41×C17—22no—
59C2×#41×C17—24no—
60C2×#41×C17—24no—
61C2×#41×C17C2314yes—
62C22×Q8×C17C2311yescharacteristic
63C22×D4×C17—21no—
64C22×D4×C17C2311yescharacteristic
65C23×C4×C17—21no—
66C23×C4×C17—21no—
67C23×C4×C17C2311yescharacteristic
68C22×C22⋊D17—21no—
69C22×C22⋊D17—21no—
70C23×Dic17—21no—
71C23×Dic17D411yescharacteristic
72C22×C4×D17—24no—
73C22×C4×D17—24no—
74C22×C4×D17—22no—
75C22×C4×D17—22no—
76C22×C4×D17—28no—
77C22×C4×D17—48no—
78C22×C4×D17D411yescharacteristic
79C22×C4×D17D411yescharacteristic
80C22×C4×D17D414yes—
81C22×C4×D17C2311yescharacteristic
82C22×C4×D17C2311yescharacteristic
83C22×C4×D17C2314yes—
84C2×M16×C17—24no—
85C2×M16×C17C2314yes—
86C22×C8×C17C2312yes—
87C2×C4⋊C4×C17—21no—
88C2×C4⋊C4×C17—22no—
89C2×C4⋊C4×C17C2312yes—
90C2×C4⋊C4×C17C2314yes—
91C2×C22⋊Dic17—21no—
92C2×C22⋊Dic17—21no—
93C2×C22⋊Dic17—21no—
94#10587632—22no—
95#10587632—22no—
96#10587632C2314yes—
97#10587632C2314yes—
98#10587624—22no—
99#10587624—22no—
100#10587624C2314yes—
101#10587624C2314yes—
102#10587623—28no—
103#10587621—28no—
104C4×C22⋊D17—28no—
105C4×C22⋊D17—28no—
106C2×#63227—21no—
107C2×#63227—21no—
108#10587612—22no—
109#10587612C2314yes—
110C2×C4⋊Dic17—21no—
111C2×C4⋊Dic17—22no—
112C2×C4⋊Dic17C2312yes—
113C2×C4⋊Dic17C2314yes—
114C2×C4⋊Dic17C2311yescharacteristic
115C2×C4⋊Dic17C2311yescharacteristic
116C2×#63225—22no—
117C2×#63225—22no—
118C2×#63225—28no—
119C2×#63225—21no—
120C2×#63225—21no—
121C2×C4×Dic17—21no—
122C2×#63223—24no—
123C2×#63223C2314yes—
124C22×#3622C2312yes—
125C4⋊C4×D17—24no—
126C4⋊C4×D17—24no—
127C4⋊C4×D17—28no—
128C4⋊C4×D17—28no—
129C4⋊C4×D17C2318yes—
130C4⋊C4×D17C2318yes—
131C17×#103C2318yescomplemented
132C17×#102C2318yescomplemented
133#10587506C2318yescomplemented
134#10587503C2318yescomplemented
135#10587491C2318yes—
136#10587491C2318yes—
137#10587489C2318yescomplemented
138#10587488C2318yescomplemented
139#10587479C2318yescomplemented
140#10587478C2318yescomplemented
141C24×C17—21no—
142C24×C17C2×D411yescharacteristic
143C23×D17—24no—
144C23×D17—24no—
145C23×D17—24no—
146C23×D17C2×D414yes—
147C23×D17C2×D411yescharacteristic
148C23×D17C2×D411yescharacteristic
149#41×C17—28no—
150#41×C17—28no—
151#41×C17—48no—
152C2×Q8×C17—21no—
153C2×Q8×C17—22no—
154C2×Q8×C17—22no—
155C2×Q8×C17C2412yes—
156C2×D4×C17—24no—
157C2×D4×C17—21no—
158C2×D4×C17—22no—
159C2×D4×C17—22no—
160C2×D4×C17—44no—
161C2×D4×C17C2412yes—
162C22×C4×C17—24no—
163C22×C4×C17—22no—
164C22×C4×C17—21no—
165C22×C4×C17—24no—
166C22×C4×C17—44no—
167C22×C4×C17—44no—
168C22×C4×C17C2×D411yescharacteristic
169C22×C4×C17C2×D412yes—
170C22×C4×C17#4114yes—
171C22×C4×C17#4114yes—
172C22×C4×C17C2411yescharacteristic
173C22×C4×C17C2412yes—
174C2×C22⋊D17—24no—
175C2×C22⋊D17—24no—
176C2×C22⋊D17—44no—
177C2×C22⋊D17—44no—
178C22×Dic17—24no—
179C22×Dic17—24no—
180C22×Dic17—22no—
181C22×Dic17—21no—
182C22×Dic17—21no—
183C22×Dic17—44no—
184C22×Dic17C2×D411yescharacteristic
185C22×Dic17C2×D411yescharacteristic
186C22×Dic17C2×D414yes—
187C2×C4×D17—24no—
188C2×C4×D17—24no—
189C2×C4×D17—216no—
190C2×C4×D17—22no—
191C2×C4×D17—22no—
192C2×C4×D17—28no—
193C2×C4×D17—22no—
194C2×C4×D17—22no—
195C2×C4×D17—28no—
196C2×C4×D17—28no—
197C2×C4×D17—28no—
198C2×C4×D17—48no—
199C2×C4×D17—432no—
200C2×C4×D17—48no—
201C2×C4×D17C2×D414yes—
202C2×C4×D17C2×D414yes—
203C2×C4×D17C2×D412yes—
204C2×C4×D17C2×D412yes—
205C2×C4×D17C2412yes—
206C2×C4×D17C2412yes—
207M16×C17—28no—
208C2×C8×C17—24no—
209C2×C8×C17C2414yes—
210C4⋊C4×C17—24no—
211C4⋊C4×C17—22no—
212C4⋊C4×C17C2414yes—
213C22⋊Dic17—24no—
214C22⋊Dic17—24no—
215C22⋊Dic17—24no—
216#63227—24no—
217#63227—24no—
218C4⋊Dic17—24no—
219C4⋊Dic17—22no—
220C4⋊Dic17—21no—
221C4⋊Dic17—21no—
222C4⋊Dic17C2412yes—
223C4⋊Dic17C2412yes—
224C4⋊Dic17C2414yes—
225#63225—28no—
226#63225—28no—
227#63225—24no—
228#63225—24no—
229C4×Dic17—24no—
230#63223—28no—
231C2×#3622—24no—
232C2×#3622C2414yes—
233C2×#3092—171nomaximal, Sylow
234C23×C17—22no—
235C23×C17—22no—
236C23×C17—22no—
237C23×C17—42no—
238C23×C17—42no—
239C23×C17—42no—
240C23×C17#12314yes—
241C23×C17C22×D412yes—
242C23×C17C22×D411yescharacteristic
243C22×D17—232no—
244C22×D17—28no—
245C22×D17—22no—
246C22×D17—22no—
247C22×D17—22no—
248C22×D17—22no—
249C22×D17—28no—
250C22×D17—28no—
251C22×D17AGL(1,ℤ/8)14yes—
252C22×D17#13714yes—
253C22×D17C22×D412yes—
254C22×D17C22×D412yes—
255Q8×C17—22no—
256Q8×C17—22no—
257Q8×C17—42no—
258D4×C17—22no—
259D4×C17—22no—
260D4×C17—48no—
261D4×C17—42no—
262C2×C4×C17—24no—
263C2×C4×C17—22no—
264C2×C4×C17—48no—
265C2×C4×C17—42no—
266C2×C4×C17—44no—
267C2×C4×C17—48no—
268C2×C4×C17#12314yes—
269C2×C4×C17#12318yes—
270C2×C4×C17C22×D412yes—
271C2×C4×C17C22×D411yescharacteristic
272C2×C4×C17C2×#4112yes—
273C2×C4×C17C2×#4114yes—
274C2×C4×C17C2×#4112yes—
275C2×C4×C17C2×#4114yes—
276C2×C4×C17C2511yescharacteristic
277C22⋊D17—48no—
278C22⋊D17—48no—
279C2×Dic17—28no—
280C2×Dic17—22no—
281C2×Dic17—22no—
282C2×Dic17—22no—
283C2×Dic17—22no—
284C2×Dic17—24no—
285C2×Dic17—48no—
286C2×Dic17—44no—
287C2×Dic17—42no—
288C2×Dic17—42no—
289C2×Dic17C22×D412yes—
290C2×Dic17C22×D412yes—
291C4×D17—28no—
292C4×D17—28no—
293C4×D17—24no—
294C4×D17—24no—
295C4×D17—22no—
296C4×D17—22no—
297C4×D17—22no—
298C4×D17—22no—
299C4×D17—416no—
300C4×D17—416no—
301C8×C17—24no—
302#3622—24no—
303C2×#525—171no—
304C23×C4⋊C4—171no—
305#3092—1716no—
306C2×#484—172no—
307C2×#481—172no—
308C2×#483—172no—
309C2×#480—172no—
310C2×#428—171no—
311C2×#428—171no—
312C2×#417—171no—
313C2×#417D1711yescharacteristic, complemented
314C2×#407—171no—
315C22×C17—28no—
316C22×C17—22no—
317C22×C17—22no—
318C22×C17—42no—
319C22×C17—42no—
320C22×C17—42no—
321C22×C17—84no—
322C22×C17C2×#12314yes—
323C22×C17C2×#12312yes—
324C22×C17C2×AGL(1,ℤ/8)12yes—
325C22×C17C2×#13712yes—
326C22×C17C23×D411yescharacteristic
327C2×D17—232no—
328C2×D17—28no—
329C2×D17—28no—
330C2×D17—22no—
331C2×D17—22no—
332C2×D17—22no—
333C2×D17—22no—
334C2×D17C2×AGL(1,ℤ/8)14yes—
335C2×D17C2×#13714yes—
336C4×C17—42no—
337C4×C17—44no—
338C4×C17C2×#12314yes—
339C4×C17C2×#12312yes—
340C4×C17C22×#4111yescharacteristic
341C4×C17C22×#4111yescharacteristic
342Dic17—22no—
343Dic17—22no—
344Dic17—44no—
345Dic17—42no—
346Dic17—42no—
347C22×#41C2×D1711yescharacteristic
348C24×C4—171no—
349C24×C4—341no—
350C22×M16—171no—
351C22×M16C2×D1711yescharacteristic
352#525—178no—
353#525—344no—
354C2×#123—341no—
355C2×C22⋊Q8—171no—
356C2×C22⋊Q8—171no—
357C2×#121—171no—
358C2×#121—171no—
359C2×#120—341no—
360C2×C4×D4—341no—
361C2×C4×D4—341no—
362C2×#117—171no—
363C22×C4⋊C4—171no—
364C22×C4⋊C4—172no—
365C22×C4⋊C4—172no—
366C22×C4⋊C4—178no—
367C22×C4⋊C4—341no—
368C22×C4⋊C4—341no—
369C22×C4⋊C4—344no—
370C22×C4⋊C4—341no—
371C22×C4⋊C4C2×D1711yescharacteristic
372#484—1716no—
373#483—1716no—
374#481—1716no—
375#480—1716no—
376#428—178no—
377#428—178no—
378C2×#107—172no—
379C2×#107—172no—
380C2×#106—172no—
381C2×#106—172no—
382#417—178no—
383#417C2×D1718yescomplemented
384C2×#103—172no—
385C2×#103C2×D1712yescomplemented
386C2×#102—172no—
387C2×#102C2×D1712yescomplemented
388#407—178no—
389C2×C22⋊C8—172no—
390C2×C22⋊C8—172no—
391C2×C17—24no—
392C2×C17—82no—
393C2×C17#309214yescomplemented
394C2×C17C22×#12311yescharacteristic
395C2×C17C22×AGL(1,ℤ/8)11yescharacteristic
396C2×C17C22×#13711yescharacteristic
397D17—24no—
398D17—24no—
399C25—171no—
400C2×#41—22no—
401C2×#41—24no—
402C2×#41—24no—
403C2×#41C22×D1714yes—
404C22×Q8C22×D1711yescharacteristic
405C22×D4—21no—
406C22×D4—341no—
407C22×D4—341no—
408C22×D4C22×D1711yescharacteristic
409C23×C4—21no—
410C23×C4—21no—
411C23×C4—171no—
412C23×C4—171no—
413C23×C4—171no—
414C23×C4—174no—
415C23×C4—171no—
416C23×C4—171no—
417C23×C4—174no—
418C23×C4—348no—
419C23×C4—342no—
420C23×C4—342no—
421C23×C4—344no—
422C23×C4—344no—
423C23×C4—341no—
424C23×C4—688no—
425C23×C4C22×D1711yescharacteristic
426C2×M16—24no—
427C2×M16—174no—
428C2×M16—344no—
429C2×M16C22×D1714yes—
430C22×C8—172no—
431C22×C8C22×D1712yes—
432#123—348no—
433C22⋊Q8—174no—
434C22⋊Q8—174no—
435C22⋊Q8—342no—
436C22⋊Q8—342no—
437#121—174no—
438#121—174no—
439#121—342no—
440#121—342no—
441#120—348no—
442C4×D4—348no—
443C4×D4—348no—
444#117—174no—
445#117—342no—
446C2×C4⋊C4—22no—
447C2×C4⋊C4—21no—
448C2×C4⋊C4—172no—
449C2×C4⋊C4—174no—
450C2×C4⋊C4—171no—
451C2×C4⋊C4—171no—
452C2×C4⋊C4—178no—
453C2×C4⋊C4—178no—
454C2×C4⋊C4—348no—
455C2×C4⋊C4—348no—
456C2×C4⋊C4—344no—
457C2×C4⋊C4—344no—
458C2×C4⋊C4—348no—
459C2×C4⋊C4—342no—
460C2×C4⋊C4—342no—
461C2×C4⋊C4—341no—
462C2×C4⋊C4—341no—
463C2×C4⋊C4—342no—
464C2×C4⋊C4—341no—
465C2×C4⋊C4C22×D1712yes—
466C2×C4⋊C4C22×D1714yes—
467C2×C22⋊C4—341no—
468C2×C22⋊C4—341no—
469C2×C22⋊C4—341no—
470C2×C22⋊C4—341no—
471C2×C22⋊C4—341no—
472C2×C42—341no—
473#107—178no—
474#107—178no—
475#106—178no—
476#106—178no—
477#103—178no—
478#103C22×D1718yescomplemented
479#102—178no—
480#102C22×D1718yescomplemented
481C22⋊C8—178no—
482C22⋊C8—178no—
483C17C2×#309211yescharacteristic, complemented, Sylow
484C24—21no—
485C24—171no—
486C24—171no—
487C24—174no—
488C24—344no—
489C24—344no—
490C24—344no—
491C24D4×D1711yescharacteristic
492#41—28no—
493#41—28no—
494#41—48no—
495C2×Q8—21no—
496C2×Q8—22no—
497C2×Q8—22no—
498C2×Q8C23×D1712yes—
499C2×D4—24no—
500C2×D4—22no—
501C2×D4—21no—
502C2×D4—22no—
503C2×D4—44no—
504C2×D4—344no—
505C2×D4—344no—
506C2×D4—684no—
507C2×D4—684no—
508C2×D4C23×D1712yes—
509C22×C4—24no—
510C22×C4—21no—
511C22×C4—22no—
512C22×C4—24no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—174no—
516C22×C4—171no—
517C22×C4—171no—
518C22×C4—174no—
519C22×C4—174no—
520C22×C4—172no—
521C22×C4—172no—
522C22×C4—172no—
523C22×C4—172no—
524C22×C4—348no—
525C22×C4—348no—
526C22×C4—344no—
527C22×C4—342no—
528C22×C4—342no—
529C22×C4—348no—
530C22×C4—342no—
531C22×C4—342no—
532C22×C4—348no—
533C22×C4—344no—
534C22×C4—344no—
535C22×C4—3416no—
536C22×C4—344no—
537C22×C4—341no—
538C22×C4—341no—
539C22×C4—342no—
540C22×C4—688no—
541C22×C4—6832no—
542C22×C4—688no—
543C22×C4—684no—
544C22×C4#6325214yes—
545C22×C4D4×D1712yes—
546C22×C4D4×D1711yescharacteristic
547C22×C4#6325414yes—
548C22×C4C23×D1712yes—
549C22×C4C23×D1711yescharacteristic
550M16—28no—
551M16—348no—
552C2×C8—24no—
553C2×C8—174no—
554C2×C8—344no—
555C2×C8C23×D1714yes—
556C4⋊C4—24no—
557C4⋊C4—22no—
558C4⋊C4—174no—
559C4⋊C4—172no—
560C4⋊C4—172no—
561C4⋊C4—348no—
562C4⋊C4—348no—
563C4⋊C4—344no—
564C4⋊C4—344no—
565C4⋊C4—344no—
566C4⋊C4—342no—
567C4⋊C4—341no—
568C4⋊C4—341no—
569C4⋊C4C23×D1714yes—
570C22⋊C4—344no—
571C22⋊C4—344no—
572C22⋊C4—344no—
573C22⋊C4—344no—
574C22⋊C4—344no—
575C42—344no—
576C23—22no—
577C23—22no—
578C23—22no—
579C23—42no—
580C23—42no—
581C23—42no—
582C23—174no—
583C23—174no—
584C23—172no—
585C23—172no—
586C23—348no—
587C23—348no—
588C23—3432no—
589C23—348no—
590C23—342no—
591C23—342no—
592C23—342no—
593C23—342no—
594C23#1058756914yes—
595C23C2×D4×D1712yes—
596C23C2×D4×D1711yescharacteristic
597Q8—22no—
598Q8—22no—
599Q8—42no—
600D4—22no—
601D4—22no—
602D4—48no—
603D4—42no—
604D4—688no—
605D4—688no—
606C2×C4—22no—
607C2×C4—24no—
608C2×C4—48no—
609C2×C4—42no—
610C2×C4—44no—
611C2×C4—48no—
612C2×C4—172no—
613C2×C4—172no—
614C2×C4—348no—
615C2×C4—342no—
616C2×C4—342no—
617C2×C4—348no—
618C2×C4—348no—
619C2×C4—344no—
620C2×C4—344no—
621C2×C4—342no—
622C2×C4—342no—
623C2×C4—342no—
624C2×C4—342no—
625C2×C4—342no—
626C2×C4—342no—
627C2×C4—344no—
628C2×C4—6816no—
629C2×C4—6816no—
630C2×C4—688no—
631C2×C4—684no—
632C2×C4—682no—
633C2×C4—682no—
634C2×C4#1058756914yes—
635C2×C4#1058756918yes—
636C2×C4C2×#6325212yes—
637C2×C4C2×#6325214yes—
638C2×C4C2×D4×D1712yes—
639C2×C4C2×D4×D1711yescharacteristic
640C2×C4C2×#6325412yes—
641C2×C4C2×#6325414yes—
642C2×C4C24×D1711yescharacteristic
643C8—24no—
644C8—344no—
645C22—22no—
646C22—22no—
647C22—28no—
648C22—42no—
649C22—42no—
650C22—42no—
651C22—84no—
652C22—174no—
653C22—174no—
654C22—3432no—
655C22—342no—
656C22—342no—
657C22—342no—
658C22—342no—
659C22—348no—
660C22—348no—
661C22C2×#1058756914yes—
662C22C2×#1058756912yes—
663C22AGL(1,ℤ/8)×D1712yes—
664C22#137×D1712yes—
665C22C22×D4×D1711yescharacteristic
666C4—44no—
667C4—42no—
668C4—342no—
669C4—342no—
670C4—684no—
671C4—682no—
672C4—682no—
673C4C2×#1058756914yes—
674C4C2×#1058756912yes—
675C4C22×#6325411yescharacteristic
676C4C22×#6325211yescharacteristic
677C2—24no—
678C2—82no—
679C2—344no—
680C2—344no—
681C2#1453870514yesdirect product factor
682C2C22×#1058756911yescharacteristic
683C2C2×AGL(1,ℤ/8)×D1711yescharacteristic
684C2C2×#137×D1711yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC2×C17×#417C2
socleC23×C17C22×D4
prime radicalC2×#11763316C2
hypercenterC2×#417D17
hypocenterC17C2×#3092
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#417

Complements

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

NH ≅ G/Ntype
2. C22×C4⋊C4×D17C2semidirect
3. #14538705C2direct (N × H)
4. C2×#11763143C2semidirect
5. C2×#11763126C2semidirect
6. C2×#11763138C2semidirect
7. C2×#11763121C2semidirect
8. C2×#11762851C2semidirect
9. C2×#11762849C2semidirect
10. C2×#11762810C2semidirect
11. C2×#11762772C2semidirect
12. C2×C17×#417C2semidirect
34. C2×C4⋊C4×D17C22semidirect
35. #11763143C22semidirect
36. #11763138C22semidirect
37. #11763126C22semidirect
38. #11763121C22semidirect
39. #11762851C22semidirect
40. #11762849C22semidirect
41. C2×#10587489C22semidirect
42. C2×#10587478C22semidirect
43. C2×#10587488C22semidirect
44. C2×#10587479C22semidirect
45. #11762810C22semidirect
46. C2×#10587506C22semidirect
47. C2×#10587503C22semidirect
48. #11762772C22semidirect
54. C17×#417C22semidirect
55. C2×C17×#103C22semidirect
56. C2×C17×#102C22semidirect
131. C17×#103C23semidirect
132. C17×#102C23semidirect
133. #10587506C23semidirect
134. #10587503C23semidirect
137. #10587489C23semidirect
138. #10587488C23semidirect
139. #10587479C23semidirect
140. #10587478C23semidirect
313. C2×#417D17semidirect
383. #417C2×D17semidirect
385. C2×#103C2×D17semidirect
387. C2×#102C2×D17semidirect
393. C2×C17#3092semidirect
478. #103C22×D17semidirect
480. #102C22×D17semidirect
483. C17C2×#3092semidirect
681. C2#14538705direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117633162
C22×C4⋊C4×D172
#145387052
C2×#117631432
C2×#117631262
C2×#117631382
C2×#117631212
C2×#117628512
C2×#117628492
C2×#117628102
C2×#117627722
C2×C17×#4172
C2×#309217