Finite Group Databasebeta

← C2×#14540080 #17906567

Subgroups — C2×#14540080 #17906567

Order 4352.

1742 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763437C211yesmaximal, characteristic, complemented
2C2×#11763426C211yesmaximal, characteristic
3#14540080C2116yesmaximal, direct product factor
4C2×#11763217C211yesmaximal, characteristic, complemented
5C2×#11763206C211yesmaximal, characteristic, complemented
6C2×#11763167C211yesmaximal, characteristic, complemented
7C2×#11763162C211yesmaximal, characteristic, complemented
8C2×#11763125C211yesmaximal, characteristic
9C2×#11763150C211yesmaximal, characteristic, complemented
10C2×#11763140C211yesmaximal, characteristic, complemented
11C2×#11763115C211yesmaximal, characteristic, complemented
12C2×#11763093C211yesmaximal, characteristic, complemented
13C2×#11763111C211yesmaximal, characteristic, complemented
14C2×#11763097C211yesmaximal, characteristic, complemented
15C2×#11762867C211yesmaximal, characteristic, complemented
16C2×C17×#482C211yesmaximal, characteristic
17#11763437—24no—
18#11763437C2218yescomplemented
19#11763426—24no—
20#11763426C2218yes—
21C2×#10587555—21no—
22C2×#10587574C2211yescharacteristic
23C2×#10587574C2211yescharacteristic
24C2×#10587574C2211yescharacteristic
25C2×#10587565—21no—
26C2×#10587556—21no—
27C2×#10587576C2211yescharacteristic
28C2×#10587576C2211yescharacteristic
29C2×#10587622—21no—
30C2×#10587622C2211yescharacteristic
31C2×#10587621—21no—
32C2×#10587610C2211yescharacteristic
33C2×#10587564—21no—
34C2×#10587564—21no—
35C2×#10587564—21no—
36C2×#10587573C2211yescharacteristic
37C2×D4×Dic17C2211yescharacteristic
38C2×#10587612C2211yescharacteristic
39C22×C4⋊Dic17C2211yescharacteristic
40#11763217C2218yescomplemented
41#11763206C2218yescomplemented
42#11763167C2218yescomplemented
43#11763162C2218yescomplemented
44#11763150C2218yescomplemented
45#11763140C2218yescomplemented
46#11763125C2218yes—
47#11763115C2218yescomplemented
48#11763111C2218yescomplemented
49#11763097C2218yescomplemented
50#11763093C2218yescomplemented
51#11762867C2218yescomplemented
52C2×#10587478C2211yescharacteristic
53C2×#10587488C2211yescharacteristic
54C2×#10587488C2211yescharacteristic
55C2×#10587479C2211yescharacteristic
56C2×#10587479C2211yescharacteristic
57C2×#10587479C2211yescharacteristic
58C2×#10587485C2211yescharacteristic
59C2×#10587485C2211yescharacteristic
60C2×#10587487C2211yescharacteristic
61C2×#10587487C2211yescharacteristic
62C2×#10587481C2211yescharacteristic
63C2×#10587481C2211yescharacteristic
64C2×#10587503C2211yescharacteristic
65C2×#10587503C2211yescharacteristic
66C2×C22⋊#3622C2211yescharacteristic
67C2×#10587486C2211yescharacteristic
68C2×C8×Dic17C2211yescharacteristic
69C2×C17×#121C2211yescharacteristic
70C2×C17×#117C2211yescharacteristic
71C17×#482C2218yes—
72C2×C17×#107C2211yescharacteristic
73C2×C17×#106C2211yescharacteristic
74C2×C17×#102C2211yescharacteristic
75C2×C17×#102C2211yescharacteristic
76C2×C17×C22⋊C8C2211yescharacteristic
77C22×D4×C17—21no—
78C22×D4×C17C2311yescharacteristic
79C23×C4×C17C2311yescharacteristic
80C23×Dic17—21no—
81C23×Dic17—21no—
82C22×Dic34—21no—
83C22×Dic34—21no—
84C22×Dic34—21no—
85C22×Dic34C2311yescharacteristic
86C22×C8×C17C2311yescharacteristic
87C22×C8×C17C2311yescharacteristic
88C17×#121—22no—
89C17×#121C2314yes—
90C17×#117—22no—
91C17×#117C2314yes—
92C2×C4⋊C4×C17C2311yescharacteristic
93C2×C4⋊C4×C17C2311yescharacteristic
94C2×C4⋊C4×C17C2311yescharacteristic
95C2×C22⋊C4×C17—21no—
96C2×C22⋊C4×C17—21no—
97C2×C42×C17—21no—
98C2×C22⋊Dic17—21no—
99C2×C22⋊Dic17—21no—
100C2×C22⋊Dic17—21no—
101C2×C22⋊Dic17—21no—
102C2×C22⋊Dic17D411yescharacteristic
103C2×C22⋊Dic17D411yescharacteristic
104#10587622—22no—
105#10587622—28no—
106#10587622C2314yes—
107#10587621—28no—
108D4×Dic17—22no—
109D4×Dic17C2314yes—
110#10587612D414yes—
111#10587612C2314yes—
112C2×C4⋊Dic17—21no—
113C2×C4⋊Dic17—22no—
114C2×C4⋊Dic17—21no—
115C2×C4⋊Dic17—21no—
116C2×C4⋊Dic17D411yescharacteristic
117C2×C4⋊Dic17D411yescharacteristic
118C2×C4⋊Dic17C2311yescharacteristic
119C2×C4⋊Dic17C2311yescharacteristic
120C2×C4⋊Dic17C2314yes—
121C2×C4⋊Dic17C2311yescharacteristic
122#10587610—22no—
123#10587610C2314yes—
124C2×#63225—21no—
125C2×#63225—21no—
126C2×#63225—21no—
127C2×#63225—21no—
128C2×#63225—21no—
129C2×#63225—21no—
130C2×#63225—21no—
131C2×C4×Dic17—21no—
132C2×C4×Dic17C2311yescharacteristic
133C2×C4×Dic17C2311yescharacteristic
134C22×#3622C2311yescharacteristic
135C22×#3622C2311yescharacteristic
136#10587576—22no—
137#10587576—22no—
138#10587576C2314yes—
139#10587576C2314yes—
140#10587574—22no—
141#10587574—22no—
142#10587574—22no—
143#10587574C2314yes—
144#10587574C2314yes—
145#10587574C2314yes—
146#10587573—22no—
147#10587573C2314yes—
148#10587565—28no—
149#10587564—28no—
150#10587564—28no—
151#10587564—28no—
152#10587556—28no—
153#10587555—28no—
154C17×#107C2314yes—
155C17×#106C2314yes—
156C17×#102C2314yes—
157C17×#102C2314yes—
158C17×C22⋊C8C2314yes—
159#10587503C2314yes—
160#10587503C2314yes—
161C22⋊#3622C2314yes—
162#10587488C2314yes—
163#10587488C2314yes—
164#10587487C2314yes—
165#10587487C2314yes—
166#10587486C2314yes—
167#10587485C2314yes—
168#10587485C2314yes—
169C8×Dic17C2314yes—
170#10587481C2314yes—
171#10587481C2314yes—
172#10587479C2314yes—
173#10587479C2314yes—
174#10587479C2314yes—
175#10587478C2314yes—
176C24×C17—21no—
177C24×C17C2×D411yescharacteristic
178C2×D4×C17—24no—
179C2×D4×C17—21no—
180C2×D4×C17—22no—
181C2×D4×C17—22no—
182C2×D4×C17—82no—
183C2×D4×C17C2412yes—
184C22×C4×C17—22no—
185C22×C4×C17—22no—
186C22×C4×C17—21no—
187C22×C4×C17—21no—
188C22×C4×C17—21no—
189C22×C4×C17C2×D411yescharacteristic
190C22×C4×C17C2×D412yes—
191C22×C4×C17C2412yes—
192C22×C4×C17C2411yescharacteristic
193C22×Dic17—21no—
194C22×Dic17—21no—
195C22×Dic17—21no—
196C22×Dic17—21no—
197C22×Dic17—24no—
198C22×Dic17—24no—
199C22×Dic17—82no—
200C22×Dic17—82no—
201C22×Dic17C2×D411yescharacteristic
202C22×Dic17C2×D411yescharacteristic
203C22×Dic17C2×D411yescharacteristic
204C22×Dic17C2×D411yescharacteristic
205C2×Dic34—22no—
206C2×Dic34—22no—
207C2×Dic34—21no—
208C2×Dic34—24no—
209C2×Dic34—24no—
210C2×Dic34—24no—
211C2×Dic34—82no—
212C2×Dic34—82no—
213C2×Dic34—82no—
214C2×Dic34C2412yes—
215C2×C8×C17—22no—
216C2×C8×C17—22no—
217C2×C8×C17C2412yes—
218C2×C8×C17C2412yes—
219C4⋊C4×C17—21no—
220C4⋊C4×C17—21no—
221C4⋊C4×C17—21no—
222C4⋊C4×C17C2412yes—
223C4⋊C4×C17C2412yes—
224C4⋊C4×C17C2412yes—
225C22⋊C4×C17—24no—
226C22⋊C4×C17—24no—
227C42×C17—24no—
228C22⋊Dic17—24no—
229C22⋊Dic17—24no—
230C22⋊Dic17—24no—
231C22⋊Dic17—24no—
232C22⋊Dic17C2×D414yes—
233C22⋊Dic17C2×D414yes—
234C4⋊Dic17—24no—
235C4⋊Dic17—21no—
236C4⋊Dic17—21no—
237C4⋊Dic17—21no—
238C4⋊Dic17—24no—
239C4⋊Dic17—24no—
240C4⋊Dic17C2×D414yes—
241C4⋊Dic17C2×D414yes—
242C4⋊Dic17C2412yes—
243C4⋊Dic17C2412yes—
244C4⋊Dic17C2412yes—
245#63225—24no—
246#63225—24no—
247#63225—24no—
248#63225—24no—
249#63225—24no—
250#63225—24no—
251#63225—24no—
252C4×Dic17—24no—
253C4×Dic17C2×D412yes—
254C4×Dic17C2×D412yes—
255C4×Dic17C2412yes—
256C4×Dic17C2412yes—
257C2×#3622—22no—
258C2×#3622—22no—
259C2×#3622C2412yes—
260C2×#3622C2412yes—
261C2×#3244—171nomaximal, Sylow
262C23×C17—22no—
263C23×C17—22no—
264C23×C17—22no—
265C23×C17—22no—
266C23×C17—42no—
267C23×C17—42no—
268C23×C17—42no—
269C23×C17C22×D412yes—
270C23×C17C22×D411yescharacteristic
271D4×C17—22no—
272D4×C17—22no—
273D4×C17—42no—
274D4×C17—84no—
275C2×C4×C17—22no—
276C2×C4×C17—24no—
277C2×C4×C17—22no—
278C2×C4×C17—22no—
279C2×C4×C17—22no—
280C2×C4×C17—22no—
281C2×C4×C17—22no—
282C2×C4×C17—42no—
283C2×C4×C17—42no—
284C2×C4×C17—42no—
285C2×C4×C17C22×D412yes—
286C2×C4×C17C22×D411yescharacteristic
287C2×C4×C172−1+412yes—
288C2×C4×C172−1+412yes—
289C2×C4×C17C2511yescharacteristic
290C2×Dic17—22no—
291C2×Dic17—22no—
292C2×Dic17—22no—
293C2×Dic17—22no—
294C2×Dic17—22no—
295C2×Dic17—22no—
296C2×Dic17—22no—
297C2×Dic17—22no—
298C2×Dic17—42no—
299C2×Dic17—42no—
300C2×Dic17—42no—
301C2×Dic17—42no—
302C2×Dic17—84no—
303C2×Dic17—84no—
304C2×Dic17C22×D412yes—
305C2×Dic17C22×D412yes—
306C2×Dic17C22×D412yes—
307C2×Dic17C22×D412yes—
308Dic34—22no—
309Dic34—22no—
310Dic34—42no—
311Dic34—84no—
312Dic34—84no—
313Dic34—84no—
314C8×C17—22no—
315C8×C17—22no—
316#3622—22no—
317#3622—22no—
318C2×#544—171no—
319C2×#542—171no—
320#3244—1716no—
321C2×#501—171no—
322C2×#498—171no—
323C2×#489—171no—
324C2×#488—171no—
325C2×#481—171no—
326C2×#485—171no—
327C2×#482D1711yescharacteristic
328C2×#483—171no—
329C2×#479—171no—
330C2×#475—171no—
331C2×#478—171no—
332C2×#476—171no—
333C2×#433—171no—
334C22×C17—22no—
335C22×C17—22no—
336C22×C17—22no—
337C22×C17—44no—
338C22×C17—42no—
339C22×C17—42no—
340C22×C17—42no—
341C22×C17—84no—
342C22×C17#53612yes—
343C22×C17#57712yes—
344C22×C17#57712yes—
345C22×C17C23×D411yescharacteristic
346C4×C17—22no—
347C4×C17—42no—
348C4×C17—42no—
349C4×C17—42no—
350C4×C17#53612yes—
351C4×C17C2×2−1+411yescharacteristic
352C4×C17C2×2−1+411yescharacteristic
353Dic17—22no—
354Dic17—22no—
355Dic17—22no—
356Dic17—22no—
357Dic17—42no—
358Dic17—42no—
359Dic17—42no—
360Dic17—42no—
361#544—178no—
362#544—344no—
363#542—178no—
364#542—344no—
365C2×C4⋊Q8—171no—
366C2×C4⋊Q8—171no—
367C2×C4⋊Q8—171no—
368C2×C4⋊Q8—341no—
369C2×#126—341no—
370C2×#125—171no—
371C2×#125—171no—
372C2×#125—341no—
373C2×#124—171no—
374C2×#124—341no—
375C2×#123—341no—
376C2×C22⋊Q8—171no—
377C2×C22⋊Q8—341no—
378C2×C22⋊Q8—341no—
379C2×C22⋊Q8—341no—
380C2×#121C2×D1711yescharacteristic
381C2×C4×Q8—171no—
382C2×C4×D4—171no—
383C2×#117—171no—
384C2×#117C2×D1711yescharacteristic
385C22×C4⋊C4—171no—
386#501—178no—
387#498—178no—
388#489—178no—
389#488—178no—
390#485—178no—
391#483—178no—
392#482C2×D1718yes—
393#481—178no—
394#479—178no—
395#478—178no—
396#476—178no—
397#475—178no—
398#433—178no—
399C2×#107—171no—
400C2×#107C2×D1711yescharacteristic
401C2×#106—171no—
402C2×#106—171no—
403C2×#106—171no—
404C2×#106—171no—
405C2×#106—171no—
406C2×#106C2×D1711yescharacteristic
407C2×C4⋊C8—171no—
408C2×C4⋊C8—171no—
409C2×#103—171no—
410C2×#103—171no—
411C2×#103—171no—
412C2×#103—171no—
413C2×#102—171no—
414C2×#102—171no—
415C2×#102C2×D1711yescharacteristic
416C2×#102C2×D1711yescharacteristic
417C2×C22⋊C8—171no—
418C2×C22⋊C8C2×D1711yescharacteristic
419C2×#97—171no—
420C2×C4×C8—171no—
421C2×C17—42no—
422C2×C17—82no—
423C2×C17#324414yescomplemented
424C2×C17C2×#53611yescharacteristic
425C2×C17C2×#57711yescharacteristic
426C2×C17C2×#57711yescharacteristic
427C22×Q8—171no—
428C22×Q8—341no—
429C22×Q8—341no—
430C22×Q8—341no—
431C22×D4—21no—
432C22×D4C22×D1711yescharacteristic
433C23×C4—341no—
434C23×C4—341no—
435C23×C4C22×D1711yescharacteristic
436C22×C8—171no—
437C22×C8—171no—
438C22×C8C22×D1711yescharacteristic
439C22×C8C22×D1711yescharacteristic
440C4⋊Q8—174no—
441C4⋊Q8—174no—
442C4⋊Q8—174no—
443C4⋊Q8—348no—
444C4⋊Q8—342no—
445C4⋊Q8—342no—
446C4⋊Q8—342no—
447#126—348no—
448#125—174no—
449#125—174no—
450#125—348no—
451#125—342no—
452#125—342no—
453#124—174no—
454#124—342no—
455#124—348no—
456#123—348no—
457C22⋊Q8—174no—
458C22⋊Q8—348no—
459C22⋊Q8—348no—
460C22⋊Q8—348no—
461C22⋊Q8—342no—
462#121—22no—
463#121C22×D1714yes—
464C4×Q8—174no—
465C4×Q8—342no—
466C4×D4—174no—
467C4×D4—342no—
468#117—22no—
469#117—174no—
470#117—174no—
471#117C22×D1714yes—
472C2×C4⋊C4—171no—
473C2×C4⋊C4—171no—
474C2×C4⋊C4—171no—
475C2×C4⋊C4—171no—
476C2×C4⋊C4—174no—
477C2×C4⋊C4—171no—
478C2×C4⋊C4—341no—
479C2×C4⋊C4—341no—
480C2×C4⋊C4—341no—
481C2×C4⋊C4—341no—
482C2×C4⋊C4—341no—
483C2×C4⋊C4—341no—
484C2×C4⋊C4—341no—
485C2×C4⋊C4—341no—
486C2×C4⋊C4—341no—
487C2×C4⋊C4—342no—
488C2×C4⋊C4—341no—
489C2×C4⋊C4C22×D1711yescharacteristic
490C2×C4⋊C4C22×D1711yescharacteristic
491C2×C4⋊C4C22×D1711yescharacteristic
492C2×C22⋊C4—21no—
493C2×C22⋊C4—21no—
494C2×C22⋊C4—171no—
495C2×C22⋊C4—171no—
496C2×C22⋊C4—341no—
497C2×C22⋊C4—341no—
498C2×C22⋊C4—341no—
499C2×C22⋊C4—341no—
500C2×C42—21no—
501C2×C42—171no—
502C2×C42—171no—
503C2×C42—341no—
504#107—174no—
505#107C22×D1714yes—
506#106—174no—
507#106—174no—
508#106—174no—
509#106—174no—
510#106—174no—
511#106C22×D1714yes—
512C4⋊C8—174no—
513C4⋊C8—174no—
514#103—174no—
515#103—174no—
516#103—174no—
517#103—174no—
518#102—174no—
519#102—174no—
520#102C22×D1714yes—
521#102C22×D1714yes—
522C22⋊C8—174no—
523C22⋊C8C22×D1714yes—
524#97—174no—
525C4×C8—174no—
526C17C2×#324411yescharacteristic, complemented, Sylow
527C24—21no—
528C24D4×D1711yescharacteristic
529C2×Q8—172no—
530C2×Q8—344no—
531C2×Q8—344no—
532C2×Q8—344no—
533C2×Q8—341no—
534C2×Q8—342no—
535C2×Q8—342no—
536C2×Q8—1362no—
537C2×Q8—1362no—
538C2×Q8—1362no—
539C2×D4—24no—
540C2×D4—21no—
541C2×D4—22no—
542C2×D4—22no—
543C2×D4—82no—
544C2×D4C23×D1712yes—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—171no—
551C22×C4—171no—
552C22×C4—171no—
553C22×C4—171no—
554C22×C4—344no—
555C22×C4—341no—
556C22×C4—341no—
557C22×C4—341no—
558C22×C4—341no—
559C22×C4—344no—
560C22×C4—1362no—
561C22×C4—1362no—
562C22×C4D4×D1712yes—
563C22×C4D4×D1711yescharacteristic
564C22×C4C23×D1712yes—
565C22×C4C23×D1711yescharacteristic
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—172no—
569C2×C8—172no—
570C2×C8—342no—
571C2×C8—342no—
572C2×C8C23×D1712yes—
573C2×C8C23×D1712yes—
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—174no—
578C4⋊C4—174no—
579C4⋊C4—172no—
580C4⋊C4—172no—
581C4⋊C4—172no—
582C4⋊C4—344no—
583C4⋊C4—344no—
584C4⋊C4—344no—
585C4⋊C4—344no—
586C4⋊C4—344no—
587C4⋊C4—344no—
588C4⋊C4—344no—
589C4⋊C4—344no—
590C4⋊C4—344no—
591C4⋊C4—341no—
592C4⋊C4—341no—
593C4⋊C4—341no—
594C4⋊C4—344no—
595C4⋊C4C23×D1712yes—
596C4⋊C4C23×D1712yes—
597C4⋊C4C23×D1712yes—
598C22⋊C4—24no—
599C22⋊C4—24no—
600C22⋊C4—174no—
601C22⋊C4—174no—
602C22⋊C4—344no—
603C22⋊C4—344no—
604C22⋊C4—344no—
605C22⋊C4—344no—
606C42—24no—
607C42—172no—
608C42—172no—
609C42—172no—
610C42—172no—
611C42—344no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23C2×D4×D1712yes—
620C23C2×D4×D1711yescharacteristic
621Q8—342no—
622Q8—342no—
623Q8—682no—
624Q8—1364no—
625Q8—1364no—
626Q8—1364no—
627D4—22no—
628D4—22no—
629D4—42no—
630D4—84no—
631C2×C4—22no—
632C2×C4—24no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—172no—
642C2×C4—172no—
643C2×C4—172no—
644C2×C4—172no—
645C2×C4—342no—
646C2×C4—342no—
647C2×C4—342no—
648C2×C4—342no—
649C2×C4—342no—
650C2×C4—342no—
651C2×C4—342no—
652C2×C4—342no—
653C2×C4—682no—
654C2×C4—682no—
655C2×C4—682no—
656C2×C4—682no—
657C2×C4—1364no—
658C2×C4—1364no—
659C2×C4C2×D4×D1712yes—
660C2×C4C2×D4×D1711yescharacteristic
661C2×C4#1058769712yes—
662C2×C4#1058769712yes—
663C2×C4C24×D1711yescharacteristic
664C8—22no—
665C8—22no—
666C8—342no—
667C8—342no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—44no—
672C22—42no—
673C22—42no—
674C22—42no—
675C22—84no—
676C22#1176338112yes—
677C22#1176361612yes—
678C22#1176361912yes—
679C22C22×D4×D1711yescharacteristic
680C4—22no—
681C4—42no—
682C4—42no—
683C4—42no—
684C4—342no—
685C4—342no—
686C4—342no—
687C4—342no—
688C4—682no—
689C4—682no—
690C4—682no—
691C4—682no—
692C4#1176338112yes—
693C4C2×#1058769711yescharacteristic
694C4C2×#1058769711yescharacteristic
695C2—42no—
696C2—82no—
697C2#1454008014yesdirect product factor
698C2C2×#1176338111yescharacteristic
699C2C2×#1176361611yescharacteristic
700C2C2×#1176361911yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC2×C17×#482C2
socleC23×C17C22×D4
prime radicalC2×C17×#121C22
hypercenterC2×#482D17
hypocenterC17C2×#3244
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#482

Complements

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

NH ≅ G/Ntype
1. C2×#11763437C2semidirect
3. #14540080C2direct (N × H)
4. C2×#11763217C2semidirect
5. C2×#11763206C2semidirect
6. C2×#11763167C2semidirect
7. C2×#11763162C2semidirect
9. C2×#11763150C2semidirect
10. C2×#11763140C2semidirect
11. C2×#11763115C2semidirect
12. C2×#11763093C2semidirect
13. C2×#11763111C2semidirect
14. C2×#11763097C2semidirect
15. C2×#11762867C2semidirect
18. #11763437C22semidirect
40. #11763217C22semidirect
41. #11763206C22semidirect
42. #11763167C22semidirect
43. #11763162C22semidirect
44. #11763150C22semidirect
45. #11763140C22semidirect
47. #11763115C22semidirect
48. #11763111C22semidirect
49. #11763097C22semidirect
50. #11763093C22semidirect
51. #11762867C22semidirect
423. C2×C17#3244semidirect
526. C17C2×#3244semidirect
697. C2#14540080direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117634372
C2×#117634262
#145400802
C2×#117632172
C2×#117632062
C2×#117631672
C2×#117631622
C2×#117631252
C2×#117631502
C2×#117631402
C2×#117631152
C2×#117630932
C2×#117631112
C2×#117630972
C2×#117628672
C2×C17×#4822
C2×#324417