Finite Group Databasebeta

← C2×#14541700 #17914820

Subgroups — C2×#14541700 #17914820

Order 4352.

2006 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763536C211yesmaximal, characteristic, complemented
2C2×D4×Dic34C211yesmaximal, characteristic
3#14541700C2116yesmaximal, direct product factor
4C2×#11763219C211yesmaximal, characteristic, complemented
5C2×#11763216C211yesmaximal, characteristic, complemented
6C2×#11763213C211yesmaximal, characteristic, complemented
7C2×#11763105C211yesmaximal, characteristic, complemented
8C2×#11763103C211yesmaximal, characteristic, complemented
9C2×#11763093C211yesmaximal, characteristic, complemented
10C2×#11763107C211yesmaximal, characteristic
11C2×#11763087C211yesmaximal, characteristic
12C2×#11762938C211yesmaximal, characteristic, complemented
13C2×#11762909C211yesmaximal, characteristic
14C2×#11762906C211yesmaximal, characteristic
15C2×#11762900C211yesmaximal, characteristic
16C2×C17×#478C211yesmaximal, characteristic
17C23×Dic34—21no—
18C22×#63229C2211yescharacteristic
19#11763536—24no—
20#11763536C2218yescomplemented
21D4×Dic34—24no—
22D4×Dic34C2218yes—
23C2×#10587555C2211yescharacteristic
24C2×#10587574—21no—
25C2×#10587574C2211yescharacteristic
26C2×#10587574C2211yescharacteristic
27C2×#10587574C2211yescharacteristic
28C2×#10587576C2211yescharacteristic
29C2×#10587575—21no—
30C2×#10587575—21no—
31C2×#10587610—21no—
32C2×#10587564—21no—
33C2×#10587564—21no—
34C2×C4×Dic34C2211yescharacteristic
35C2×C4×Dic34C2211yescharacteristic
36C2×#10587573—21no—
37C2×#10587573C2211yescharacteristic
38C2×#10587573C2211yescharacteristic
39C2×D4×Dic17C2211yescharacteristic
40C2×D4×Dic17C2211yescharacteristic
41#11763219C2218yescomplemented
42#11763216C2218yescomplemented
43#11763213C2218yescomplemented
44#11763107C2218yes—
45#11763105C2218yescomplemented
46#11763103C2218yescomplemented
47#11763093C2218yescomplemented
48#11763087C2218yes—
49#11762938C2218yescomplemented
50#11762909C2218yes—
51#11762906C2218yes—
52#11762900C2218yes—
53C2×#10587489C2211yescharacteristic
54C2×#10587489C2211yescharacteristic
55C2×#10587478C2211yescharacteristic
56C2×#10587478C2211yescharacteristic
57C2×#10587478C2211yescharacteristic
58C2×#10587479C2211yescharacteristic
59C2×#10587479C2211yescharacteristic
60C2×#10587485C2211yescharacteristic
61C2×#10587485C2211yescharacteristic
62C2×#10587487C2211yescharacteristic
63C2×#10587487C2211yescharacteristic
64C2×#10587481C2211yescharacteristic
65C2×#10587503C2211yescharacteristic
66C2×#10587474C2211yescharacteristic
67C2×#10587486C2211yescharacteristic
68C2×C8×Dic17C2211yescharacteristic
69C2×C17×#125C2211yescharacteristic
70C2×C4×D4×C17C2211yescharacteristic
71C17×#478C2218yes—
72C2×C17×#107C2211yescharacteristic
73C2×C17×#106C2211yescharacteristic
74C2×C17×C4⋊C8C2211yescharacteristic
75C2×C17×#102C2211yescharacteristic
76C2×C17×#102C2211yescharacteristic
77C22×D4×C17C2311yescharacteristic
78C23×C4×C17—21no—
79C23×Dic17—21no—
80C23×Dic17—21no—
81C22×Dic34—21no—
82C22×Dic34—21no—
83C22×Dic34—21no—
84C22×Dic34—21no—
85C22×Dic34—28no—
86C22×Dic34—48no—
87C22×Dic34D411yescharacteristic
88C22×Dic34C2311yescharacteristic
89C22×C8×C17C2311yescharacteristic
90C22×C8×C17C2311yescharacteristic
91C17×#125—22no—
92C17×#125C2314yes—
93C4×D4×C17—22no—
94C4×D4×C17C2314yes—
95C2×C4⋊C4×C17—21no—
96C2×C4⋊C4×C17—21no—
97C2×C4⋊C4×C17C2311yescharacteristic
98C2×C4⋊C4×C17C2311yescharacteristic
99C2×C4⋊C4×C17C2311yescharacteristic
100C2×C22⋊C4×C17—21no—
101C2×C42×C17C2311yescharacteristic
102C2×C22⋊Dic17—21no—
103C2×C22⋊Dic17—21no—
104D4×Dic17—22no—
105D4×Dic17—22no—
106D4×Dic17C2314yes—
107D4×Dic17C2314yes—
108C2×#63229Q818yescomplemented
109C2×#63229C2314yes—
110C2×C4⋊Dic17—21no—
111C2×C4⋊Dic17—21no—
112C2×C4⋊Dic17D411yescharacteristic
113C2×C4⋊Dic17C2311yescharacteristic
114C2×C4⋊Dic17C2311yescharacteristic
115C2×C4⋊Dic17C2311yescharacteristic
116#10587610—28no—
117C2×#63225—21no—
118C2×#63225—21no—
119C2×#63225—21no—
120C2×#63225—21no—
121C2×#63225—21no—
122C2×#63225—21no—
123C2×#63225—21no—
124C2×#63225D411yescharacteristic
125C2×#63225D411yescharacteristic
126C2×C4×Dic17—21no—
127C2×C4×Dic17—21no—
128C2×C4×Dic17—21no—
129C2×C4×Dic17C2311yescharacteristic
130C2×C4×Dic17C2311yescharacteristic
131C22×#3622C2311yescharacteristic
132C22×#3622C2311yescharacteristic
133#10587576—22no—
134#10587576C2314yes—
135#10587575—28no—
136#10587575—28no—
137#10587574—22no—
138#10587574—22no—
139#10587574—22no—
140#10587574—28no—
141#10587574C2314yes—
142#10587574C2314yes—
143#10587574C2314yes—
144#10587573—28no—
145#10587573—22no—
146#10587573—22no—
147#10587573C2314yes—
148#10587573C2314yes—
149#10587564—28no—
150#10587564—28no—
151#10587555—22no—
152#10587555C2314yes—
153C4×Dic34—22no—
154C4×Dic34D414yes—
155C4×Dic34C2314yes—
156C4×Dic34C2314yes—
157C17×#107C2314yes—
158C17×#106C2314yes—
159C17×C4⋊C8C2314yes—
160C17×#102C2314yes—
161C17×#102C2314yes—
162#10587503C2314yes—
163#10587489C2314yes—
164#10587489C2314yes—
165#10587487C2314yes—
166#10587487C2314yes—
167#10587486C2314yes—
168#10587485C2314yes—
169#10587485C2314yes—
170C8×Dic17C2314yes—
171#10587481C2314yes—
172#10587479C2314yes—
173#10587479C2314yes—
174#10587478C2314yes—
175#10587478C2314yes—
176#10587478C2314yes—
177#10587474C2314yes—
178C24×C17—21no—
179C2×D4×C17—21no—
180C2×D4×C17—22no—
181C2×D4×C17C2×Q814yes—
182C2×D4×C17C2412yes—
183C22×C4×C17—21no—
184C22×C4×C17—21no—
185C22×C4×C17—21no—
186C22×C4×C17—24no—
187C22×C4×C17—44no—
188C22×C4×C17C2×D411yescharacteristic
189C22×C4×C17C2×D411yescharacteristic
190C22×C4×C17C2411yescharacteristic
191C22×Dic17—21no—
192C22×Dic17—21no—
193C22×Dic17—21no—
194C22×Dic17—21no—
195C22×Dic17—24no—
196C22×Dic17—24no—
197C22×Dic17—44no—
198C22×Dic17—44no—
199C22×Dic17C2×D411yescharacteristic
200C22×Dic17C2×D411yescharacteristic
201C22×Dic17C2×D411yescharacteristic
202C22×Dic17C2×D411yescharacteristic
203C2×Dic34—21no—
204C2×Dic34—22no—
205C2×Dic34—24no—
206C2×Dic34—24no—
207C2×Dic34—24no—
208C2×Dic34—24no—
209C2×Dic34—24no—
210C2×Dic34—432no—
211C2×Dic34—44no—
212C2×Dic34—44no—
213C2×Dic34—44no—
214C2×Dic34—44no—
215C2×Dic34C2×D414yes—
216C2×Dic34C2×Q814yescomplemented
217C2×Dic34C2412yes—
218C2×C8×C17—22no—
219C2×C8×C17—22no—
220C2×C8×C17C2412yes—
221C2×C8×C17C2412yes—
222C4⋊C4×C17—21no—
223C4⋊C4×C17—21no—
224C4⋊C4×C17—24no—
225C4⋊C4×C17—24no—
226C4⋊C4×C17—21no—
227C4⋊C4×C17C2412yes—
228C4⋊C4×C17C2412yes—
229C4⋊C4×C17C2412yes—
230C22⋊C4×C17—24no—
231C42×C17C2×D412yes—
232C42×C17C2412yes—
233C22⋊Dic17—24no—
234C22⋊Dic17—24no—
235#63229C2×Q8116yescomplemented
236C4⋊Dic17—21no—
237C4⋊Dic17—21no—
238C4⋊Dic17—21no—
239C4⋊Dic17—24no—
240C4⋊Dic17—24no—
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—
252#63225C2×D414yes—
253#63225C2×D414yes—
254C4×Dic17—24no—
255C4×Dic17—24no—
256C4×Dic17—24no—
257C4×Dic17C2×D412yes—
258C4×Dic17C2×D412yes—
259C4×Dic17C2412yes—
260C4×Dic17C2412yes—
261C2×#3622—22no—
262C2×#3622C2×Q814yescomplemented
263C2×#3622C2412yes—
264C2×#3622C2412yes—
265C2×#3386—171nomaximal, Sylow
266C23×C17—24no—
267C23×C17—22no—
268C23×C17—42no—
269C23×C17—42no—
270C23×C17C22×D411yescharacteristic
271D4×C17—24no—
272D4×C17—22no—
273D4×C17C22×Q814yes—
274C2×C4×C17—22no—
275C2×C4×C17—22no—
276C2×C4×C17—22no—
277C2×C4×C17—22no—
278C2×C4×C17—22no—
279C2×C4×C17—48no—
280C2×C4×C17—42no—
281C2×C4×C17—42no—
282C2×C4×C17—42no—
283C2×C4×C17C22×D412yes—
284C2×C4×C17C22×D412yes—
285C2×C4×C17C22×D411yescharacteristic
286C2×C4×C17C22×Q812yes—
287C2×C4×C172−1+412yes—
288C2×C4×C17C2511yescharacteristic
289C2×Dic17—24no—
290C2×Dic17—22no—
291C2×Dic17—22no—
292C2×Dic17—22no—
293C2×Dic17—22no—
294C2×Dic17—22no—
295C2×Dic17—22no—
296C2×Dic17—22no—
297C2×Dic17—48no—
298C2×Dic17—42no—
299C2×Dic17—42no—
300C2×Dic17—42no—
301C2×Dic17—48no—
302C2×Dic17AGL(1,ℤ/8)14yes—
303C2×Dic17C22×D412yes—
304C2×Dic17C22×D412yes—
305C2×Dic17C22×D412yes—
306C2×Dic17C22×D412yes—
307Dic34—24no—
308Dic34—22no—
309Dic34—28no—
310Dic34—48no—
311Dic34—48no—
312Dic34—48no—
313Dic34—48no—
314Dic34C22×Q814yescomplemented
315C8×C17—22no—
316C8×C17—22no—
317#3622—22no—
318#3622C22×Q814yescomplemented
319C2×#557—171no—
320C2×D4×Q8—171no—
321#3386—1716no—
322C2×#501—171no—
323C2×#501—171no—
324C2×#500—171no—
325C2×#477—171no—
326C2×#477—171no—
327C2×#475—171no—
328C2×#478—171no—
329C2×#478D1711yescharacteristic
330C2×#474—171no—
331C2×#446—171no—
332C2×#440—171no—
333C2×#440—171no—
334C2×C4×SD16—171no—
335C22×C17—24no—
336C22×C17—48no—
337C22×C17—42no—
338C22×C17—42no—
339C22×C17D4×Q812yes—
340C22×C17C2×AGL(1,ℤ/8)12yes—
341C22×C17#57812yes—
342C22×C17C23×D411yescharacteristic
343C4×C17—22no—
344C4×C17—22no—
345C4×C17—42no—
346C4×C17—42no—
347C4×C17—42no—
348C4×C17D4×Q812yes—
349C4×C17C23×Q811yescharacteristic
350C4×C17C2×2−1+411yescharacteristic
351Dic17—24no—
352Dic17—22no—
353Dic17—22no—
354Dic17—22no—
355Dic17—42no—
356Dic17—42no—
357Dic17—42no—
358Dic17C2×AGL(1,ℤ/8)14yes—
359C23×Q8—341no—
360C22×SD16—171no—
361#557—178no—
362#557—344no—
363D4×Q8—178no—
364D4×Q8—344no—
365C2×C4⋊Q8—171no—
366C2×C4⋊Q8—171no—
367C2×C4⋊Q8—171no—
368C2×C4⋊Q8—171no—
369C2×C4⋊Q8—341no—
370C2×#125—171no—
371C2×#125—341no—
372C2×#125—341no—
373C2×#125C2×D1711yescharacteristic
374C2×C22⋊Q8—341no—
375C2×C22⋊Q8—341no—
376C2×C22⋊Q8—341no—
377C2×C4×Q8—171no—
378C2×C4×Q8—171no—
379C2×C4×Q8—171no—
380C2×C4×Q8—171no—
381C2×C4×Q8—341no—
382C2×C4×D4—171no—
383C2×C4×D4—171no—
384C2×C4×D4C2×D1711yescharacteristic
385#501—178no—
386#501—178no—
387#500—178no—
388#478—178no—
389#478C2×D1718yes—
390#477—178no—
391#477—178no—
392#475—178no—
393#474—178no—
394#446—178no—
395#440—178no—
396#440—178no—
397C4×SD16—178no—
398C2×#107—171no—
399C2×#107—171no—
400C2×#107—171no—
401C2×#107—171no—
402C2×#107—171no—
403C2×#107C2×D1711yescharacteristic
404C2×#106—171no—
405C2×#106—171no—
406C2×#106C2×D1711yescharacteristic
407C2×C4⋊C8—171no—
408C2×C4⋊C8—171no—
409C2×C4⋊C8C2×D1711yescharacteristic
410C2×#103—171no—
411C2×#103—171no—
412C2×#103—171no—
413C2×#102—171no—
414C2×#102C2×D1711yescharacteristic
415C2×#102C2×D1711yescharacteristic
416C2×#97—171no—
417C2×#97—171no—
418C2×C4×C8—171no—
419C2×C17—44no—
420C2×C17#338614yescomplemented
421C2×C17C2×D4×Q811yescharacteristic
422C2×C17C22×AGL(1,ℤ/8)11yescharacteristic
423C2×C17C2×#57811yescharacteristic
424C22×Q8—171no—
425C22×Q8—171no—
426C22×Q8—341no—
427C22×Q8—341no—
428C22×Q8—341no—
429C22×Q8—348no—
430C22×Q8—341no—
431C22×Q8—688no—
432C22×D4C22×D1711yescharacteristic
433C23×C4—21no—
434C23×C4—341no—
435C23×C4—341no—
436C2×SD16—178no—
437C2×SD16—174no—
438C22×C8—171no—
439C22×C8—171no—
440C22×C8C22×D1711yescharacteristic
441C22×C8C22×D1711yescharacteristic
442C4⋊Q8—174no—
443C4⋊Q8—174no—
444C4⋊Q8—174no—
445C4⋊Q8—174no—
446C4⋊Q8—342no—
447C4⋊Q8—342no—
448C4⋊Q8—342no—
449C4⋊Q8—348no—
450C4⋊Q8—342no—
451#125—22no—
452#125—174no—
453#125—342no—
454#125—348no—
455#125—348no—
456#125C22×D1714yes—
457C22⋊Q8—348no—
458C22⋊Q8—348no—
459C22⋊Q8—348no—
460C4×Q8—174no—
461C4×Q8—174no—
462C4×Q8—174no—
463C4×Q8—174no—
464C4×Q8—174no—
465C4×Q8—342no—
466C4×Q8—342no—
467C4×Q8—348no—
468C4×Q8—342no—
469C4×D4—22no—
470C4×D4—174no—
471C4×D4—174no—
472C4×D4—342no—
473C4×D4—342no—
474C4×D4C22×D1714yes—
475C2×C4⋊C4—21no—
476C2×C4⋊C4—21no—
477C2×C4⋊C4—171no—
478C2×C4⋊C4—171no—
479C2×C4⋊C4—171no—
480C2×C4⋊C4—171no—
481C2×C4⋊C4—171no—
482C2×C4⋊C4—171no—
483C2×C4⋊C4—341no—
484C2×C4⋊C4—341no—
485C2×C4⋊C4—341no—
486C2×C4⋊C4—341no—
487C2×C4⋊C4—341no—
488C2×C4⋊C4—341no—
489C2×C4⋊C4—341no—
490C2×C4⋊C4—341no—
491C2×C4⋊C4—341no—
492C2×C4⋊C4C22×D1711yescharacteristic
493C2×C4⋊C4C22×D1711yescharacteristic
494C2×C4⋊C4C22×D1711yescharacteristic
495C2×C22⋊C4—21no—
496C2×C22⋊C4—341no—
497C2×C22⋊C4—341no—
498C2×C42—171no—
499C2×C42—171no—
500C2×C42—341no—
501C2×C42—341no—
502C2×C42—341no—
503C2×C42C22×D1711yescharacteristic
504#107—174no—
505#107—174no—
506#107—174no—
507#107—174no—
508#107—174no—
509#107C22×D1714yes—
510#106—174no—
511#106—174no—
512#106C22×D1714yes—
513C4⋊C8—174no—
514C4⋊C8—174no—
515C4⋊C8C22×D1714yes—
516#103—174no—
517#103—174no—
518#103—174no—
519#102—174no—
520#102C22×D1714yes—
521#102C22×D1714yes—
522#97—174no—
523#97—174no—
524C4×C8—174no—
525C17C2×#338611yescharacteristic, complemented, Sylow
526C24—21no—
527C2×Q8—174no—
528C2×Q8—174no—
529C2×Q8—172no—
530C2×Q8—344no—
531C2×Q8—344no—
532C2×Q8—344no—
533C2×Q8—344no—
534C2×Q8—341no—
535C2×Q8—344no—
536C2×Q8—342no—
537C2×Q8—684no—
538C2×Q8—684no—
539C2×Q8—684no—
540C2×Q8—684no—
541C2×Q8—6832no—
542C2×D4—21no—
543C2×D4—22no—
544C2×D4Q8×D1714yes—
545C2×D4C23×D1712yes—
546C22×C4—21no—
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—24no—
550C22×C4—44no—
551C22×C4—171no—
552C22×C4—171no—
553C22×C4—171no—
554C22×C4—171no—
555C22×C4—344no—
556C22×C4—344no—
557C22×C4—341no—
558C22×C4—341no—
559C22×C4—341no—
560C22×C4—341no—
561C22×C4—684no—
562C22×C4—684no—
563C22×C4D4×D1711yescharacteristic
564C22×C4D4×D1711yescharacteristic
565C22×C4C23×D1711yescharacteristic
566SD16—1716no—
567C2×C8—22no—
568C2×C8—22no—
569C2×C8—174no—
570C2×C8—172no—
571C2×C8—172no—
572C2×C8—342no—
573C2×C8C23×D1712yes—
574C2×C8C23×D1712yes—
575C4⋊C4—24no—
576C4⋊C4—24no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—174no—
581C4⋊C4—174no—
582C4⋊C4—174no—
583C4⋊C4—172no—
584C4⋊C4—172no—
585C4⋊C4—172no—
586C4⋊C4—344no—
587C4⋊C4—344no—
588C4⋊C4—344no—
589C4⋊C4—344no—
590C4⋊C4—344no—
591C4⋊C4—344no—
592C4⋊C4—344no—
593C4⋊C4—341no—
594C4⋊C4—341no—
595C4⋊C4—341no—
596C4⋊C4—344no—
597C4⋊C4—344no—
598C4⋊C4C23×D1712yes—
599C4⋊C4C23×D1712yes—
600C4⋊C4C23×D1712yes—
601C22⋊C4—24no—
602C22⋊C4—344no—
603C22⋊C4—344no—
604C42—172no—
605C42—172no—
606C42—172no—
607C42—172no—
608C42—344no—
609C42—344no—
610C42—344no—
611C42D4×D1712yes—
612C42C23×D1712yes—
613C23—24no—
614C23—22no—
615C23—42no—
616C23—42no—
617C23C2×D4×D1711yescharacteristic
618Q8—174no—
619Q8—348no—
620Q8—344no—
621Q8—342no—
622Q8—688no—
623Q8—688no—
624Q8—688no—
625Q8—688no—
626D4—24no—
627D4—22no—
628D4C2×Q8×D1714yes—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—48no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—174no—
639C2×C4—172no—
640C2×C4—172no—
641C2×C4—172no—
642C2×C4—172no—
643C2×C4—344no—
644C2×C4—342no—
645C2×C4—342no—
646C2×C4—342no—
647C2×C4—342no—
648C2×C4—342no—
649C2×C4—342no—
650C2×C4—342no—
651C2×C4—688no—
652C2×C4—688no—
653C2×C4—682no—
654C2×C4—682no—
655C2×C4—682no—
656C2×C4C2×D4×D1712yes—
657C2×C4C2×D4×D1712yes—
658C2×C4C2×D4×D1711yescharacteristic
659C2×C4C2×Q8×D1712yes—
660C2×C4#1058769712yes—
661C2×C4C24×D1711yescharacteristic
662C8—22no—
663C8—22no—
664C8—174no—
665C8—342no—
666C22—24no—
667C22—48no—
668C22—42no—
669C22—42no—
670C22#1176347212yes—
671C22AGL(1,ℤ/8)×D1712yes—
672C22#1176362312yes—
673C22C22×D4×D1711yescharacteristic
674C4—22no—
675C4—22no—
676C4—42no—
677C4—42no—
678C4—42no—
679C4—174no—
680C4—342no—
681C4—344no—
682C4—342no—
683C4—342no—
684C4—682no—
685C4—682no—
686C4—682no—
687C4#1176347212yes—
688C4C22×Q8×D1711yescharacteristic
689C4C2×#1058769711yescharacteristic
690C2—44no—
691C2#1454170014yesdirect product factor
692C2C2×#1176347211yescharacteristic
693C2C2×AGL(1,ℤ/8)×D1711yescharacteristic
694C2C2×#1176362311yescharacteristic
subgroupG/H
centerC23C2×D4×D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC2×C17×#478C2
socleC23×C17C22×D4
prime radicalC22×D4×C17C23
hypercenterC2×#478D17
hypocenterC17C2×#3386
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#478

Complements

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

NH ≅ G/Ntype
1. C2×#11763536C2semidirect
3. #14541700C2direct (N × H)
4. C2×#11763219C2semidirect
5. C2×#11763216C2semidirect
6. C2×#11763213C2semidirect
7. C2×#11763105C2semidirect
8. C2×#11763103C2semidirect
9. C2×#11763093C2semidirect
12. C2×#11762938C2semidirect
20. #11763536C22semidirect
41. #11763219C22semidirect
42. #11763216C22semidirect
43. #11763213C22semidirect
45. #11763105C22semidirect
46. #11763103C22semidirect
47. #11763093C22semidirect
49. #11762938C22semidirect
108. C2×#63229Q8semidirect
216. C2×Dic34C2×Q8semidirect
235. #63229C2×Q8semidirect
262. C2×#3622C2×Q8semidirect
314. Dic34C22×Q8semidirect
318. #3622C22×Q8semidirect
420. C2×C17#3386semidirect
525. C17C2×#3386semidirect
691. C2#14541700direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117635362
C2×D4×Dic342
#145417002
C2×#117632192
C2×#117632162
C2×#117632132
C2×#117631052
C2×#117631032
C2×#117630932
C2×#117631072
C2×#117630872
C2×#117629382
C2×#117629092
C2×#117629062
C2×#117629002
C2×C17×#4782
C2×#338617