Finite Group Databasebeta

← C2×#14538619 #17901888

Subgroups — C2×#14538619 #17901888

Order 4352.

2018 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763436C211yesmaximal, characteristic
2C2×#11763285C211yesmaximal, characteristic
3#14538619C2116yesmaximal, direct product factor
4C2×#11763119C211yesmaximal, characteristic, complemented
5C2×#11763117C211yesmaximal, characteristic, complemented
6C2×#11763116C211yesmaximal, characteristic, complemented
7C2×#11763114C211yesmaximal, characteristic, complemented
8C2×#11763102C211yesmaximal, characteristic, complemented
9C2×#11763101C211yesmaximal, characteristic, complemented
10C2×#11763093C211yesmaximal, characteristic, complemented
11C2×#11762848C211yesmaximal, characteristic
12C2×#11762844C211yesmaximal, characteristic
13C2×#11762834C211yesmaximal, characteristic
14C2×#11762816C211yesmaximal, characteristic
15C2×#103×D17C211yesmaximal, characteristic
16C2×C17×#475C211yesmaximal, characteristic, complemented
17C22×Q8×D17C2211yescharacteristic
18C22×#63218C2211yescharacteristic
19C22×C8×D17C2211yescharacteristic
20#11763436—24no—
21#11763436C2218yes—
22C2×#10587574C2211yescharacteristic
23C2×#10587630—21no—
24C2×#10587556C2211yescharacteristic
25C2×#10587576C2211yescharacteristic
26C2×#10587575—21no—
27C2×#10587582—21no—
28C2×#10587632—21no—
29#11763285—24no—
30#11763285C2218yes—
31C2×Q8×Dic17C2211yescharacteristic
32C2×C4×Dic34—21no—
33C2×C4×Dic34C2211yescharacteristic
34C2×#10587573—21no—
35C2×#10587573C2211yescharacteristic
36C2×#10587578—21no—
37C2×#10587578C2211yescharacteristic
38C2×#10587578C2211yescharacteristic
39C2×#10587558—21no—
40C2×#10587558C2211yescharacteristic
41C2×C4⋊C4×D17C2211yescharacteristic
42#11763119C2218yescomplemented
43#11763117C2218yescomplemented
44#11763116C2218yescomplemented
45#11763114C2218yescomplemented
46#11763102C2218yescomplemented
47#11763101C2218yescomplemented
48#11763093C2218yescomplemented
49#11762848C2218yes—
50#11762844C2218yes—
51C2×#10587489C2211yescharacteristic
52C2×#10587478C2211yescharacteristic
53C2×#10587478C2211yescharacteristic
54C2×#10587478C2211yescharacteristic
55C2×#10587488C2211yescharacteristic
56C2×#10587479C2211yescharacteristic
57#11762834C2218yes—
58C2×C4⋊#3622C2211yescharacteristic
59C2×#10587485C2211yescharacteristic
60C2×#10587485C2211yescharacteristic
61#11762816C2218yes—
62C2×#10587487C2211yescharacteristic
63C2×#10587487C2211yescharacteristic
64C2×#10587506C2211yescharacteristic
65C2×#10587506C2211yescharacteristic
66C2×#10587481C2211yescharacteristic
67C2×#10587481C2211yescharacteristic
68#103×D17C2218yes—
69C2×C17×C4⋊Q8C2211yescharacteristic
70C2×C4×Q8×C17C2211yescharacteristic
71C17×#475C2218yescomplemented
72C2×C17×#106C2211yescharacteristic
73C2×C17×#106C2211yescharacteristic
74C2×C17×C4⋊C8C2211yescharacteristic
75C2×C17×#103C2211yescharacteristic
76C2×C17×#103C2211yescharacteristic
77C22×Q8×C17—21no—
78C22×Q8×C17C2311yescharacteristic
79C2×Q8×D17—22no—
80C2×Q8×D17—24no—
81C2×Q8×D17Q818yescomplemented
82C2×Q8×D17C2314yes—
83C22×C4×D17—21no—
84C22×C4×D17—21no—
85C22×C4×D17C2311yescharacteristic
86C22×Dic34—21no—
87C22×Dic34—21no—
88C22×Dic34C2311yescharacteristic
89C22×C8×C17C2311yescharacteristic
90C22×C8×C17C2311yescharacteristic
91C17×C4⋊Q8—22no—
92C17×C4⋊Q8C2314yes—
93C4×Q8×C17—22no—
94C4×Q8×C17C2314yes—
95C2×C4⋊C4×C17—21no—
96C2×C4⋊C4×C17—21no—
97C2×C4⋊C4×C17C2311yescharacteristic
98C2×C4⋊C4×C17C2311yescharacteristic
99C2×C4⋊C4×C17C2311yescharacteristic
100C2×C42×C17—21no—
101C2×C42×C17C2311yescharacteristic
102#10587632—28no—
103Q8×Dic17—22no—
104Q8×Dic17C2314yes—
105#10587630—28no—
106C2×#63227—21no—
107C2×#63227—21no—
108C2×#63227D411yescharacteristic
109C2×#63227D411yescharacteristic
110C2×C4⋊Dic17—21no—
111C2×C4⋊Dic17—21no—
112C2×C4⋊Dic17C2311yescharacteristic
113C2×C4⋊Dic17C2311yescharacteristic
114C2×C4⋊Dic17C2311yescharacteristic
115C2×#63225—21no—
116C2×#63225—21no—
117C2×#63225—21no—
118C2×#63225—21no—
119C2×#63225—21no—
120C2×#63225—21no—
121C2×#63225—21no—
122C2×#63225D411yescharacteristic
123C2×#63225D411yescharacteristic
124C2×C4×Dic17—21no—
125C2×C4×Dic17—21no—
126C2×C4×Dic17—21no—
127C2×C4×Dic17—21no—
128C2×C4×Dic17—21no—
129C2×C4×Dic17C2311yescharacteristic
130C22×#3622C2311yescharacteristic
131C22×#3622C2311yescharacteristic
132C2×#63218—24no—
133C2×#63218C2314yes—
134C2×C8×D17—24no—
135C2×C8×D17C2314yes—
136#10587582—28no—
137#10587578—28no—
138#10587578—22no—
139#10587578—22no—
140#10587578C2314yes—
141#10587578C2314yes—
142C4⋊C4×D17—22no—
143C4⋊C4×D17C2314yes—
144#10587576—22no—
145#10587576C2314yes—
146#10587575—28no—
147#10587574—22no—
148#10587574C2314yes—
149#10587573—28no—
150#10587573—22no—
151#10587573C2314yes—
152#10587558—28no—
153#10587558D414yes—
154#10587558C2314yes—
155#10587556—22no—
156#10587556C2314yes—
157C4×Dic34—28no—
158C4×Dic34—22no—
159C4×Dic34C2314yes—
160C17×#106C2314yes—
161C17×#106C2314yes—
162C17×C4⋊C8C2314yes—
163C17×#103C2314yes—
164C17×#103C2314yes—
165#10587506C2314yes—
166#10587506C2314yes—
167#10587489C2314yes—
168#10587488C2314yes—
169#10587487C2314yes—
170#10587487C2314yes—
171#10587485C2314yes—
172#10587485C2314yes—
173#10587481C2314yes—
174#10587481C2314yes—
175#10587479C2314yes—
176#10587478C2314yes—
177#10587478C2314yes—
178#10587478C2314yes—
179C4⋊#3622C2314yes—
180C23×D17C2×D411yescharacteristic
181C2×Q8×C17—21no—
182C2×Q8×C17—24no—
183C2×Q8×C17—22no—
184C2×Q8×C17—82no—
185C2×Q8×C17C2×Q814yes—
186C2×Q8×C17C2412yes—
187C22×C4×C17—21no—
188C22×C4×C17—21no—
189C22×C4×C17—21no—
190C22×C4×C17—21no—
191C22×C4×C17C2×D411yescharacteristic
192C22×C4×C17C2×D411yescharacteristic
193C22×C4×C17C2411yescharacteristic
194C22×Dic17—21no—
195C22×Dic17—21no—
196C22×Dic17—21no—
197C22×Dic17—21no—
198C22×Dic17C2×D411yescharacteristic
199C22×Dic17C2×D411yescharacteristic
200C22×Dic17C2×D411yescharacteristic
201Q8×D17—216no—
202Q8×D17—28no—
203Q8×D17C2×Q8116yescomplemented
204C2×C4×D17—28no—
205C2×C4×D17—24no—
206C2×C4×D17—24no—
207C2×C4×D17—82no—
208C2×C4×D17C2×D412yes—
209C2×C4×D17C2×Q814yes—
210C2×C4×D17#4114yes—
211C2×C4×D17C2412yes—
212C2×Dic34—21no—
213C2×Dic34—22no—
214C2×Dic34—28no—
215C2×Dic34—24no—
216C2×Dic34—24no—
217C2×Dic34—82no—
218C2×Dic34C2×Q814yes—
219C2×Dic34C2412yes—
220C2×C8×C17—22no—
221C2×C8×C17—22no—
222C2×C8×C17C2412yes—
223C2×C8×C17C2412yes—
224C4⋊C4×C17—21no—
225C4⋊C4×C17—21no—
226C4⋊C4×C17—24no—
227C4⋊C4×C17—24no—
228C4⋊C4×C17—21no—
229C4⋊C4×C17C2412yes—
230C4⋊C4×C17C2412yes—
231C4⋊C4×C17C2412yes—
232C42×C17—24no—
233C42×C17C2×D412yes—
234C42×C17C2412yes—
235#63227—24no—
236#63227—24no—
237#63227C2×D414yes—
238#63227C2×D414yes—
239C4⋊Dic17—21no—
240C4⋊Dic17—21no—
241C4⋊Dic17—21no—
242C4⋊Dic17—24no—
243C4⋊Dic17—24no—
244C4⋊Dic17C2412yes—
245C4⋊Dic17C2412yes—
246C4⋊Dic17C2412yes—
247#63225—24no—
248#63225—24no—
249#63225—24no—
250#63225—24no—
251#63225—24no—
252#63225—24no—
253#63225—24no—
254#63225C2×D414yes—
255#63225C2×D414yes—
256C4×Dic17—24no—
257C4×Dic17—24no—
258C4×Dic17—24no—
259C4×Dic17—24no—
260C4×Dic17—24no—
261C4×Dic17C2×D412yes—
262C4×Dic17C2412yes—
263C2×#3622—22no—
264C2×#3622—22no—
265C2×#3622C2412yes—
266C2×#3622C2412yes—
267#63218—28no—
268C8×D17—28no—
269C2×#3082—171nomaximal, Sylow
270C23×C17C22×D411yescharacteristic
271C22×D17—22no—
272C22×D17—22no—
273C22×D17C22⋊Q814yes—
274C22×D17C22×D412yes—
275Q8×C17—24no—
276Q8×C17—22no—
277Q8×C17—84no—
278Q8×C17C22×Q814yes—
279C2×C4×C17—24no—
280C2×C4×C17—22no—
281C2×C4×C17—22no—
282C2×C4×C17—22no—
283C2×C4×C17—22no—
284C2×C4×C17—22no—
285C2×C4×C17—22no—
286C2×C4×C17—42no—
287C2×C4×C17—42no—
288C2×C4×C17—42no—
289C2×C4×C17C22×D412yes—
290C2×C4×C17C22×D412yes—
291C2×C4×C17C22×D411yescharacteristic
292C2×C4×C17C22×Q812yes—
293C2×C4×C17C2×#4112yes—
294C2×C4×C17C2511yescharacteristic
295C2×Dic17—24no—
296C2×Dic17—22no—
297C2×Dic17—22no—
298C2×Dic17—22no—
299C2×Dic17—22no—
300C2×Dic17—22no—
301C2×Dic17—22no—
302C2×Dic17—42no—
303C2×Dic17—42no—
304C2×Dic17—42no—
305C2×Dic17C22⋊Q814yes—
306C2×Dic17C22×D412yes—
307C2×Dic17C22×D412yes—
308C2×Dic17C22×D412yes—
309C4×D17—216no—
310C4×D17—84no—
311C4×D17C22⋊Q818yes—
312C4×D17C22×Q814yes—
313C4×D17C2×#4114yes—
314Dic34—24no—
315Dic34—22no—
316Dic34—216no—
317Dic34—84no—
318Dic34C22×Q814yes—
319C8×C17—22no—
320C8×C17—22no—
321#3622—22no—
322#3622—22no—
323C2×#544—171no—
324C2×#519—171no—
325#3082—1716no—
326C2×#479—171no—
327C2×#479—171no—
328C2×#479—171no—
329C2×#479—171no—
330C2×#477—171no—
331C2×#477—171no—
332C2×#475—171no—
333C2×#475D1711yescharacteristic, complemented
334C2×#428—171no—
335C2×#427—171no—
336C2×#424—171no—
337C2×#419—171no—
338C22×#103—171no—
339C22×C17C2×C22⋊Q812yes—
340C22×C17#57712yes—
341C22×C17#57812yes—
342C22×C17C23×D411yescharacteristic
343C2×D17—28no—
344C2×D17—22no—
345C2×D17—22no—
346C2×D17C2×C22⋊Q814yes—
347C4×C17—24no—
348C4×C17—22no—
349C4×C17—22no—
350C4×C17—42no—
351C4×C17—42no—
352C4×C17—42no—
353C4×C17C2×C22⋊Q812yes—
354C4×C17C23×Q811yescharacteristic
355C4×C17C22×#4111yescharacteristic
356Dic17—24no—
357Dic17—22no—
358Dic17—22no—
359Dic17—42no—
360Dic17—42no—
361Dic17—42no—
362Dic17C2×C22⋊Q814yes—
363C23×Q8—171no—
364C22×M16—171no—
365C23×C8—171no—
366#544—178no—
367#544—344no—
368C2×C4⋊Q8—171no—
369C2×C4⋊Q8—341no—
370C2×C4⋊Q8C2×D1711yescharacteristic
371C2×#125—171no—
372C2×#125—171no—
373C2×#125—341no—
374C2×C22⋊Q8—341no—
375C2×C22⋊Q8—341no—
376#519—178no—
377#519—344no—
378C2×C4×Q8—171no—
379C2×C4×Q8—171no—
380C2×C4×Q8—171no—
381C2×C4×Q8—341no—
382C2×C4×Q8—341no—
383C2×C4×Q8C2×D1711yescharacteristic
384C2×#117—171no—
385C2×#117—171no—
386C2×#117—171no—
387C2×#117—341no—
388C2×#117—341no—
389C22×C4⋊C4—171no—
390#479—178no—
391#479—178no—
392#479—178no—
393#479—178no—
394#477—178no—
395#477—178no—
396#475—178no—
397#475C2×D1718yescomplemented
398#428—178no—
399#427—178no—
400C2×#107—171no—
401C2×#107—171no—
402C2×#107—171no—
403C2×#107—171no—
404C2×#106—171no—
405C2×#106—171no—
406C2×#106C2×D1711yescharacteristic
407C2×#106C2×D1711yescharacteristic
408#424—178no—
409C2×C4⋊C8—171no—
410C2×C4⋊C8—171no—
411C2×C4⋊C8—171no—
412C2×C4⋊C8C2×D1711yescharacteristic
413#419—178no—
414C2×#103—171no—
415C2×#103—171no—
416C2×#103—171no—
417C2×#103—171no—
418C2×#103—171no—
419C2×#103—171no—
420C2×#103—178no—
421C2×#103C2×D1711yescharacteristic
422C2×#103C2×D1711yescharacteristic
423C2×C17#308214yescomplemented
424C2×C17C22×C22⋊Q811yescharacteristic
425C2×C17C2×#57711yescharacteristic
426C2×C17C2×#57811yescharacteristic
427D17—24no—
428C22×Q8—21no—
429C22×Q8—178no—
430C22×Q8—174no—
431C22×Q8—171no—
432C22×Q8—341no—
433C22×Q8—341no—
434C22×Q8—342no—
435C22×Q8—344no—
436C22×Q8C22×D1711yescharacteristic
437C23×C4—171no—
438C23×C4—341no—
439C23×C4—341no—
440C2×M16—174no—
441C2×M16—344no—
442C22×C8—171no—
443C22×C8—171no—
444C22×C8—174no—
445C22×C8—344no—
446C22×C8C22×D1711yescharacteristic
447C22×C8C22×D1711yescharacteristic
448C4⋊Q8—22no—
449C4⋊Q8—174no—
450C4⋊Q8—342no—
451C4⋊Q8—348no—
452C4⋊Q8C22×D1714yes—
453#125—174no—
454#125—174no—
455#125—342no—
456#125—348no—
457#125—342no—
458C22⋊Q8—348no—
459C22⋊Q8—348no—
460C4×Q8—22no—
461C4×Q8—174no—
462C4×Q8—174no—
463C4×Q8—174no—
464C4×Q8—348no—
465C4×Q8—342no—
466C4×Q8—342no—
467C4×Q8—348no—
468C4×Q8—342no—
469C4×Q8C22×D1714yes—
470#117—174no—
471#117—174no—
472#117—174no—
473#117—174no—
474#117—348no—
475#117—348no—
476#117—342no—
477#117—342no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—171no—
481C2×C4⋊C4—171no—
482C2×C4⋊C4—171no—
483C2×C4⋊C4—171no—
484C2×C4⋊C4—171no—
485C2×C4⋊C4—174no—
486C2×C4⋊C4—342no—
487C2×C4⋊C4—341no—
488C2×C4⋊C4—341no—
489C2×C4⋊C4—341no—
490C2×C4⋊C4—341no—
491C2×C4⋊C4—341no—
492C2×C4⋊C4—341no—
493C2×C4⋊C4—341no—
494C2×C4⋊C4—341no—
495C2×C4⋊C4—341no—
496C2×C4⋊C4C22×D1711yescharacteristic
497C2×C4⋊C4C22×D1711yescharacteristic
498C2×C4⋊C4C22×D1711yescharacteristic
499C2×C22⋊C4—171no—
500C2×C22⋊C4—171no—
501C2×C22⋊C4—341no—
502C2×C22⋊C4—341no—
503C2×C42—21no—
504C2×C42—171no—
505C2×C42—341no—
506C2×C42—341no—
507C2×C42—341no—
508C2×C42—341no—
509C2×C42—341no—
510C2×C42C22×D1711yescharacteristic
511#107—174no—
512#107—174no—
513#107—174no—
514#107—174no—
515#106—174no—
516#106—174no—
517#106C22×D1714yes—
518#106C22×D1714yes—
519C4⋊C8—174no—
520C4⋊C8—174no—
521C4⋊C8—174no—
522C4⋊C8C22×D1714yes—
523#103—174no—
524#103—174no—
525#103—174no—
526#103—174no—
527#103—174no—
528#103—174no—
529#103C22×D1714yes—
530#103C22×D1714yes—
531C17C2×#308211yescharacteristic, complemented, Sylow
532C24—171no—
533C2×Q8—21no—
534C2×Q8—24no—
535C2×Q8—22no—
536C2×Q8—82no—
537C2×Q8—1716no—
538C2×Q8—174no—
539C2×Q8—172no—
540C2×Q8—344no—
541C2×Q8—348no—
542C2×Q8—344no—
543C2×Q8—3416no—
544C2×Q8—348no—
545C2×Q8—341no—
546C2×Q8—342no—
547C2×Q8—1362no—
548C2×Q8Q8×D1714yes—
549C2×Q8C23×D1712yes—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—171no—
555C22×C4—172no—
556C22×C4—174no—
557C22×C4—174no—
558C22×C4—172no—
559C22×C4—171no—
560C22×C4—171no—
561C22×C4—344no—
562C22×C4—348no—
563C22×C4—344no—
564C22×C4—341no—
565C22×C4—341no—
566C22×C4—341no—
567C22×C4—341no—
568C22×C4—1362no—
569C22×C4D4×D1711yescharacteristic
570C22×C4D4×D1711yescharacteristic
571C22×C4C23×D1711yescharacteristic
572M16—348no—
573C2×C8—22no—
574C2×C8—22no—
575C2×C8—172no—
576C2×C8—172no—
577C2×C8—348no—
578C2×C8—342no—
579C2×C8—342no—
580C2×C8C23×D1712yes—
581C2×C8C23×D1712yes—
582C4⋊C4—24no—
583C4⋊C4—24no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—174no—
588C4⋊C4—174no—
589C4⋊C4—172no—
590C4⋊C4—172no—
591C4⋊C4—172no—
592C4⋊C4—344no—
593C4⋊C4—344no—
594C4⋊C4—344no—
595C4⋊C4—344no—
596C4⋊C4—344no—
597C4⋊C4—344no—
598C4⋊C4—341no—
599C4⋊C4—341no—
600C4⋊C4—341no—
601C4⋊C4—344no—
602C4⋊C4—344no—
603C4⋊C4—344no—
604C4⋊C4C23×D1712yes—
605C4⋊C4C23×D1712yes—
606C4⋊C4C23×D1712yes—
607C22⋊C4—174no—
608C22⋊C4—174no—
609C22⋊C4—344no—
610C22⋊C4—344no—
611C42—24no—
612C42—172no—
613C42—172no—
614C42—344no—
615C42—344no—
616C42—344no—
617C42—344no—
618C42—344no—
619C42D4×D1712yes—
620C42C23×D1712yes—
621C23—174no—
622C23—172no—
623C23—342no—
624C23—342no—
625C23C2×D4×D1711yescharacteristic
626Q8—24no—
627Q8—22no—
628Q8—84no—
629Q8—174no—
630Q8—3416no—
631Q8—344no—
632Q8—342no—
633Q8—1364no—
634Q8C2×Q8×D1714yes—
635C2×C4—24no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—174no—
646C2×C4—172no—
647C2×C4—178no—
648C2×C4—174no—
649C2×C4—174no—
650C2×C4—172no—
651C2×C4—172no—
652C2×C4—3416no—
653C2×C4—344no—
654C2×C4—342no—
655C2×C4—342no—
656C2×C4—342no—
657C2×C4—342no—
658C2×C4—342no—
659C2×C4—342no—
660C2×C4—682no—
661C2×C4—682no—
662C2×C4—682no—
663C2×C4—1364no—
664C2×C4C2×D4×D1712yes—
665C2×C4C2×D4×D1712yes—
666C2×C4C2×D4×D1711yescharacteristic
667C2×C4C2×Q8×D1712yes—
668C2×C4#41×D1712yes—
669C2×C4C24×D1711yescharacteristic
670C8—22no—
671C8—22no—
672C8—342no—
673C8—342no—
674C22—174no—
675C22—348no—
676C22—342no—
677C22—342no—
678C22C22⋊Q8×D1712yes—
679C22#1176361512yes—
680C22#1176362512yes—
681C22C22×D4×D1711yescharacteristic
682C4—22no—
683C4—24no—
684C4—22no—
685C4—42no—
686C4—42no—
687C4—42no—
688C4—174no—
689C4—342no—
690C4—344no—
691C4—342no—
692C4—682no—
693C4—682no—
694C4—682no—
695C4C22⋊Q8×D1712yes—
696C4C22×Q8×D1711yescharacteristic
697C4C2×#41×D1711yescharacteristic
698C2—344no—
699C2#1453861914yesdirect product factor
700C2C2×C22⋊Q8×D1711yescharacteristic
701C2C2×#1176361511yescharacteristic
702C2C2×#1176362511yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC2×C17×#475C2
socleC23×C17C22×D4
prime radicalC23×D17C2×D4
hypercenterC2×#475D17
hypocenterC17C2×#3082
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#475

Complements

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

NH ≅ G/Ntype
3. #14538619C2direct (N × H)
4. C2×#11763119C2semidirect
5. C2×#11763117C2semidirect
6. C2×#11763116C2semidirect
7. C2×#11763114C2semidirect
8. C2×#11763102C2semidirect
9. C2×#11763101C2semidirect
10. C2×#11763093C2semidirect
16. C2×C17×#475C2semidirect
42. #11763119C22semidirect
43. #11763117C22semidirect
44. #11763116C22semidirect
45. #11763114C22semidirect
46. #11763102C22semidirect
47. #11763101C22semidirect
48. #11763093C22semidirect
71. C17×#475C22semidirect
81. C2×Q8×D17Q8semidirect
203. Q8×D17C2×Q8semidirect
333. C2×#475D17semidirect
397. #475C2×D17semidirect
423. C2×C17#3082semidirect
531. C17C2×#3082semidirect
699. C2#14538619direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117634362
C2×#117632852
#145386192
C2×#117631192
C2×#117631172
C2×#117631162
C2×#117631142
C2×#117631022
C2×#117631012
C2×#117630932
C2×#117628482
C2×#117628442
C2×#117628342
C2×#117628162
C2×#103×D172
C2×C17×#4752
C2×#308217