Finite Group Databasebeta

← C2×#14541729 #17914851

Subgroups — C2×#14541729 #17914851

Order 4352.

1822 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#11763537C211yesmaximal, characteristic, complemented
2#14541729C2116yesmaximal, direct product factor
3C2×#11763219C211yesmaximal, characteristic, complemented
4C2×#11763215C211yesmaximal, characteristic, complemented
5C2×#11763208C211yesmaximal, characteristic, complemented
6C2×#11763113C211yesmaximal, characteristic, complemented
7C2×#11763113C211yesmaximal, characteristic, complemented
8C2×#11763091C211yesmaximal, characteristic, complemented
9C2×#11763109C211yesmaximal, characteristic
10C2×#11763109C211yesmaximal, characteristic
11C2×#11763099C211yesmaximal, characteristic
12C2×#11762940C211yesmaximal, characteristic, complemented
13C2×#11762909C211yesmaximal, characteristic
14C2×#11762909C211yesmaximal, characteristic
15C2×C4×#63229C211yesmaximal, characteristic
16C2×C17×#554C211yesmaximal, characteristic
17C22×#63229C2211yescharacteristic
18#11763537—24no—
19#11763537C2218yescomplemented
20C2×#10587555C2211yescharacteristic
21C2×#10587630—21no—
22C2×#10587556C2211yescharacteristic
23C2×#10587556C2211yescharacteristic
24C2×#10587575—21no—
25C2×#10587575—21no—
26C2×C4×Dic34C2211yescharacteristic
27C2×C4×Dic34C2211yescharacteristic
28C2×C4×Dic34C2211yescharacteristic
29C2×#10587573—21no—
30#11763219C2218yescomplemented
31#11763215C2218yescomplemented
32#11763208C2218yescomplemented
33#11763113C2218yescomplemented
34#11763113C2218yescomplemented
35#11763109C2218yes—
36#11763109C2218yes—
37#11763099C2218yes—
38#11763091C2218yescomplemented
39#11762940C2218yescomplemented
40#11762909C2218yes—
41#11762909C2218yes—
42C4×#63229C2218yes—
43C2×#10587478C2211yescharacteristic
44C2×#10587478C2211yescharacteristic
45C2×#10587478C2211yescharacteristic
46C2×#10587478C2211yescharacteristic
47C2×#10587479C2211yescharacteristic
48C2×#10587479C2211yescharacteristic
49C2×#10587479C2211yescharacteristic
50C2×#10587479C2211yescharacteristic
51C2×#10587479C2211yescharacteristic
52C2×C4⋊#3622C2211yescharacteristic
53C2×C4⋊#3622C2211yescharacteristic
54C2×C4⋊#3622C2211yescharacteristic
55C2×#10587481C2211yescharacteristic
56C2×#10587481C2211yescharacteristic
57C2×#10587481C2211yescharacteristic
58C2×#10587503C2211yescharacteristic
59C2×#10587503C2211yescharacteristic
60C2×#10587503C2211yescharacteristic
61C2×#10587474C2211yescharacteristic
62C2×#10587474C2211yescharacteristic
63C2×C4×#3622C2211yescharacteristic
64C17×#554—24no—
65C17×#554C2218yes—
66C2×C17×C4⋊Q8C2211yescharacteristic
67C2×C17×#125C2211yescharacteristic
68C2×C17×#125C2211yescharacteristic
69C2×C17×C22⋊Q8—21no—
70C2×C17×C22⋊Q8—21no—
71C2×C17×C22⋊Q8—21no—
72C2×C4×Q8×C17C2211yescharacteristic
73C2×C4×D4×C17C2211yescharacteristic
74C2×C4×D4×C17C2211yescharacteristic
75C2×C4×D4×C17C2211yescharacteristic
76C22×C4⋊C4×C17—21no—
77C22×Q8×C17—21no—
78C22×Q8×C17D411yescharacteristic
79C22×D4×C17C2311yescharacteristic
80C23×C4×C17—21no—
81C23×C4×C17—21no—
82C23×C4×C17—21no—
83C22×Dic34—21no—
84C22×Dic34C2311yescharacteristic
85C17×C4⋊Q8—22no—
86C17×C4⋊Q8C2314yes—
87C17×#125—22no—
88C17×#125—22no—
89C17×#125C2314yes—
90C17×#125C2314yes—
91C17×C22⋊Q8—28no—
92C17×C22⋊Q8—28no—
93C17×C22⋊Q8—28no—
94C4×Q8×C17D414yes—
95C4×Q8×C17C2314yes—
96C4×D4×C17—22no—
97C4×D4×C17—22no—
98C4×D4×C17—22no—
99C4×D4×C17C2314yes—
100C4×D4×C17C2314yes—
101C4×D4×C17C2314yes—
102C2×C4⋊C4×C17—21no—
103C2×C4⋊C4×C17—21no—
104C2×C4⋊C4×C17—21no—
105C2×C4⋊C4×C17—21no—
106C2×C4⋊C4×C17—21no—
107C2×C4⋊C4×C17—28no—
108C2×C4⋊C4×C17D411yescharacteristic
109C2×C4⋊C4×C17D411yescharacteristic
110C2×C4⋊C4×C17D411yescharacteristic
111C2×C4⋊C4×C17C2311yescharacteristic
112C2×C4⋊C4×C17C2311yescharacteristic
113C2×C4⋊C4×C17C2311yescharacteristic
114C2×C22⋊C4×C17—21no—
115C2×C22⋊C4×C17—21no—
116C2×C22⋊C4×C17—21no—
117C2×C42×C17C2311yescharacteristic
118C2×C42×C17C2311yescharacteristic
119C2×C42×C17C2311yescharacteristic
120#10587630—28no—
121C2×#63229Q818yescomplemented
122C2×#63229C2314yes—
123C2×C4⋊Dic17—21no—
124C2×C4⋊Dic17C2311yescharacteristic
125C2×C4⋊Dic17C2311yescharacteristic
126C2×C4⋊Dic17C2311yescharacteristic
127C2×#63225—21no—
128C2×#63225—21no—
129C2×#63225—21no—
130C2×#63225—21no—
131C2×#63225—21no—
132C2×#63225—21no—
133C2×#63225—21no—
134C2×C4×Dic17—21no—
135C2×C4×Dic17—21no—
136C2×C4×Dic17—21no—
137C22×#3622C2311yescharacteristic
138C22×#3622C2311yescharacteristic
139C22×#3622C2311yescharacteristic
140C22×#3622C2311yescharacteristic
141#10587575—28no—
142#10587575—28no—
143#10587573—28no—
144#10587556—22no—
145#10587556—22no—
146#10587556C2314yes—
147#10587556C2314yes—
148#10587555—22no—
149#10587555C2314yes—
150C4×Dic34—22no—
151C4×Dic34—22no—
152C4×Dic34—22no—
153C4×Dic34C2314yes—
154C4×Dic34C2314yes—
155C4×Dic34C2314yes—
156#10587503C2314yes—
157#10587503C2314yes—
158#10587503C2314yes—
159#10587481C2314yes—
160#10587481C2314yes—
161#10587481C2314yes—
162#10587479C2314yes—
163#10587479C2314yes—
164#10587479C2314yes—
165#10587479C2314yes—
166#10587479C2314yes—
167#10587478C2314yes—
168#10587478C2314yes—
169#10587478C2314yes—
170#10587478C2314yes—
171C4⋊#3622C2314yes—
172C4⋊#3622C2314yes—
173C4⋊#3622C2314yes—
174#10587474C2314yes—
175#10587474C2314yes—
176C4×#3622C2314yes—
177C24×C17—21no—
178C2×Q8×C17—24no—
179C2×Q8×C17—42no—
180C2×Q8×C17—82no—
181C2×Q8×C17C2×D414yes—
182C2×D4×C17—21no—
183C2×D4×C17—22no—
184C2×D4×C17C2×Q814yes—
185C2×D4×C17C2412yes—
186C22×C4×C17—21no—
187C22×C4×C17—21no—
188C22×C4×C17—21no—
189C22×C4×C17—24no—
190C22×C4×C17—24no—
191C22×C4×C17—24no—
192C22×C4×C17—44no—
193C22×C4×C17—82no—
194C22×C4×C17—82no—
195C22×C4×C17C2×D411yescharacteristic
196C22×C4×C17C2×D411yescharacteristic
197C22×C4×C17C2×D411yescharacteristic
198C22×C4×C17C2×D411yescharacteristic
199C22×C4×C17C2×D411yescharacteristic
200C22×C4×C17C2×D411yescharacteristic
201C22×C4×C17C2411yescharacteristic
202C22×Dic17—21no—
203C22×Dic17—21no—
204C22×Dic17—21no—
205C22×Dic17—21no—
206C2×Dic34—21no—
207C2×Dic34—22no—
208C2×Dic34—24no—
209C2×Dic34—44no—
210C2×Dic34C2×Q814yes—
211C2×Dic34C2412yes—
212C4⋊C4×C17—24no—
213C4⋊C4×C17—24no—
214C4⋊C4×C17—24no—
215C4⋊C4×C17—24no—
216C4⋊C4×C17—24no—
217C4⋊C4×C17—21no—
218C4⋊C4×C17—21no—
219C4⋊C4×C17—21no—
220C4⋊C4×C17C2×D414yes—
221C4⋊C4×C17C2×D414yes—
222C4⋊C4×C17C2×D414yes—
223C4⋊C4×C17C2412yes—
224C4⋊C4×C17C2412yes—
225C4⋊C4×C17C2412yes—
226C22⋊C4×C17—24no—
227C22⋊C4×C17—24no—
228C22⋊C4×C17—24no—
229C42×C17C2×D412yes—
230C42×C17C2×D412yes—
231C42×C17C2×D412yes—
232C42×C17C2412yes—
233C42×C17C2412yes—
234C42×C17C2412yes—
235#63229C2×Q8116yescomplemented
236C4⋊Dic17—21no—
237C4⋊Dic17—21no—
238C4⋊Dic17—21no—
239C4⋊Dic17—24no—
240C4⋊Dic17C2412yes—
241C4⋊Dic17C2412yes—
242C4⋊Dic17C2412yes—
243#63225—24no—
244#63225—24no—
245#63225—24no—
246#63225—24no—
247#63225—24no—
248#63225—24no—
249#63225—24no—
250C4×Dic17—24no—
251C4×Dic17—24no—
252C4×Dic17—24no—
253C2×#3622—22no—
254C2×#3622—22no—
255C2×#3622—22no—
256C2×#3622C2×Q814yes—
257C2×#3622C2412yes—
258C2×#3622C2412yes—
259C2×#3622C2412yes—
260C2×#3622C2412yes—
261C2×#3388—171nomaximal, Sylow
262C23×C17—24no—
263C23×C17—22no—
264C23×C17—42no—
265C23×C17—42no—
266C23×C17C22×D411yescharacteristic
267Q8×C17—44no—
268Q8×C17—84no—
269D4×C17—24no—
270D4×C17—22no—
271D4×C17C22×Q814yes—
272C2×C4×C17—22no—
273C2×C4×C17—22no—
274C2×C4×C17—22no—
275C2×C4×C17—22no—
276C2×C4×C17—22no—
277C2×C4×C17—22no—
278C2×C4×C17—22no—
279C2×C4×C17—22no—
280C2×C4×C17—22no—
281C2×C4×C17—48no—
282C2×C4×C17—42no—
283C2×C4×C17—42no—
284C2×C4×C17—42no—
285C2×C4×C17—84no—
286C2×C4×C17—84no—
287C2×C4×C17C22×D412yes—
288C2×C4×C17C22×D412yes—
289C2×C4×C17C22×D412yes—
290C2×C4×C17C22×D412yes—
291C2×C4×C17C22×D412yes—
292C2×C4×C17C22×D412yes—
293C2×C4×C17C22×D411yescharacteristic
294C2×C4×C17C22×Q812yes—
295C2×C4×C172−1+412yes—
296C2×C4×C17C2511yescharacteristic
297C2×Dic17—24no—
298C2×Dic17—22no—
299C2×Dic17—22no—
300C2×Dic17—22no—
301C2×Dic17—22no—
302C2×Dic17—42no—
303C2×Dic17—42no—
304C2×Dic17—42no—
305Dic34—24no—
306Dic34—22no—
307Dic34—48no—
308Dic34C22×Q814yes—
309#3622—22no—
310#3622—22no—
311#3622—22no—
312#3622C22×Q814yes—
313C2×#557—171no—
314C2×#554D1711yescharacteristic
315#3388—1716no—
316C2×#501—171no—
317C2×#501—171no—
318C2×#499—171no—
319C2×#479—171no—
320C2×#479—171no—
321C2×#475—171no—
322C2×#478—171no—
323C2×#478—171no—
324C2×#476—171no—
325C2×#446—171no—
326C2×#440—171no—
327C2×#440—171no—
328C2×C4×SD16—171no—
329C22×C17—24no—
330C22×C17—48no—
331C22×C17—42no—
332C22×C17—42no—
333C22×C17D4×Q812yes—
334C22×C17#57512yes—
335C22×C17#57712yes—
336C22×C17C23×D411yescharacteristic
337C4×C17—22no—
338C4×C17—22no—
339C4×C17—22no—
340C4×C17—22no—
341C4×C17—22no—
342C4×C17—22no—
343C4×C17—42no—
344C4×C17—42no—
345C4×C17—42no—
346C4×C17D4×Q812yes—
347C4×C17C23×Q811yescharacteristic
348C4×C17C2×2−1+411yescharacteristic
349Dic17—24no—
350Dic17—42no—
351Dic17—42no—
352Dic17—42no—
353C22×SD16—171no—
354#557—178no—
355#557—344no—
356#554—24no—
357#554C2×D1718yes—
358C2×C4⋊Q8—171no—
359C2×C4⋊Q8—341no—
360C2×C4⋊Q8C2×D1711yescharacteristic
361C2×#125—171no—
362C2×#125—171no—
363C2×#125—341no—
364C2×#125—341no—
365C2×#125C2×D1711yescharacteristic
366C2×#125C2×D1711yescharacteristic
367C2×C22⋊Q8—21no—
368C2×C22⋊Q8—21no—
369C2×C22⋊Q8—21no—
370C2×C4×Q8—171no—
371C2×C4×Q8—171no—
372C2×C4×Q8—171no—
373C2×C4×Q8—341no—
374C2×C4×Q8C2×D1711yescharacteristic
375C2×C4×D4C2×D1711yescharacteristic
376C2×C4×D4C2×D1711yescharacteristic
377C2×C4×D4C2×D1711yescharacteristic
378C22×C4⋊C4—21no—
379#501—178no—
380#501—178no—
381#499—178no—
382#479—178no—
383#479—178no—
384#478—178no—
385#478—178no—
386#476—178no—
387#475—178no—
388#446—178no—
389#440—178no—
390#440—178no—
391C4×SD16—178no—
392C2×#107—171no—
393C2×#107—171no—
394C2×#107—171no—
395C2×#107—171no—
396C2×#106—171no—
397C2×#106—171no—
398C2×#106—171no—
399C2×#106—171no—
400C2×#106—171no—
401C2×C4⋊C8—171no—
402C2×C4⋊C8—171no—
403C2×C4⋊C8—171no—
404C2×#103—171no—
405C2×#103—171no—
406C2×#103—171no—
407C2×#102—171no—
408C2×#102—171no—
409C2×#102—171no—
410C2×#97—171no—
411C2×#97—171no—
412C2×C4×C8—171no—
413C2×C17—44no—
414C2×C17#338814yescomplemented
415C2×C17C2×D4×Q811yescharacteristic
416C2×C17C2×#57511yescharacteristic
417C2×C17C2×#57711yescharacteristic
418C22×Q8—21no—
419C22×Q8—171no—
420C22×Q8—341no—
421C22×Q8C22⋊D1711yescharacteristic
422C22×D4C22×D1711yescharacteristic
423C23×C4—21no—
424C23×C4—21no—
425C23×C4—21no—
426C2×SD16—178no—
427C2×SD16—174no—
428C22×C8—171no—
429C22×C8—171no—
430C22×C8—171no—
431C22×C8—171no—
432C4⋊Q8—22no—
433C4⋊Q8—174no—
434C4⋊Q8—348no—
435C4⋊Q8—342no—
436C4⋊Q8C22×D1714yes—
437#125—22no—
438#125—22no—
439#125—174no—
440#125—174no—
441#125—348no—
442#125—348no—
443#125—342no—
444#125—342no—
445#125C22×D1714yes—
446#125C22×D1714yes—
447C22⋊Q8—28no—
448C22⋊Q8—28no—
449C22⋊Q8—28no—
450C4×Q8—174no—
451C4×Q8—174no—
452C4×Q8—174no—
453C4×Q8—348no—
454C4×Q8—342no—
455C4×Q8—342no—
456C4×Q8—342no—
457C4×Q8C22⋊D1714yes—
458C4×Q8C22×D1714yes—
459C4×D4—22no—
460C4×D4—22no—
461C4×D4—22no—
462C4×D4C22×D1714yes—
463C4×D4C22×D1714yes—
464C4×D4C22×D1714yes—
465C2×C4⋊C4—21no—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—21no—
468C2×C4⋊C4—21no—
469C2×C4⋊C4—21no—
470C2×C4⋊C4—28no—
471C2×C4⋊C4—171no—
472C2×C4⋊C4—171no—
473C2×C4⋊C4—171no—
474C2×C4⋊C4—341no—
475C2×C4⋊C4—341no—
476C2×C4⋊C4—341no—
477C2×C4⋊C4—341no—
478C2×C4⋊C4—341no—
479C2×C4⋊C4—341no—
480C2×C4⋊C4—341no—
481C2×C4⋊C4—341no—
482C2×C4⋊C4C22⋊D1711yescharacteristic
483C2×C4⋊C4C22⋊D1711yescharacteristic
484C2×C4⋊C4C22⋊D1711yescharacteristic
485C2×C4⋊C4C22×D1711yescharacteristic
486C2×C4⋊C4C22×D1711yescharacteristic
487C2×C4⋊C4C22×D1711yescharacteristic
488C2×C22⋊C4—21no—
489C2×C22⋊C4—21no—
490C2×C22⋊C4—21no—
491C2×C42—341no—
492C2×C42—341no—
493C2×C42—341no—
494C2×C42C22×D1711yescharacteristic
495C2×C42C22×D1711yescharacteristic
496C2×C42C22×D1711yescharacteristic
497#107—174no—
498#107—174no—
499#107—174no—
500#107—174no—
501#106—174no—
502#106—174no—
503#106—174no—
504#106—174no—
505#106—174no—
506C4⋊C8—174no—
507C4⋊C8—174no—
508C4⋊C8—174no—
509#103—174no—
510#103—174no—
511#103—174no—
512#102—174no—
513#102—174no—
514#102—174no—
515#97—174no—
516#97—174no—
517C4×C8—174no—
518C17C2×#338811yescharacteristic, complemented, Sylow
519C24—21no—
520C2×Q8—24no—
521C2×Q8—42no—
522C2×Q8—82no—
523C2×Q8—174no—
524C2×Q8—172no—
525C2×Q8—342no—
526C2×Q8—341no—
527C2×Q8—344no—
528C2×Q8—684no—
529C2×Q8C2×C22⋊D1714yes—
530C2×D4—22no—
531C2×D4—21no—
532C2×D4Q8×D1714yes—
533C2×D4C23×D1712yes—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—24no—
538C22×C4—24no—
539C22×C4—24no—
540C22×C4—44no—
541C22×C4—82no—
542C22×C4—82no—
543C22×C4—341no—
544C22×C4—341no—
545C22×C4—341no—
546C22×C4—341no—
547C22×C4C2×C22⋊D1711yescharacteristic
548C22×C4C2×C22⋊D1711yescharacteristic
549C22×C4C2×C22⋊D1711yescharacteristic
550C22×C4C2×C22⋊D1711yescharacteristic
551C22×C4C2×C22⋊D1711yescharacteristic
552C22×C4C2×C22⋊D1711yescharacteristic
553C22×C4C23×D1711yescharacteristic
554SD16—1716no—
555C2×C8—174no—
556C2×C8—172no—
557C2×C8—172no—
558C2×C8—172no—
559C2×C8—172no—
560C2×C8—342no—
561C2×C8—342no—
562C2×C8—342no—
563C4⋊C4—24no—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—24no—
567C4⋊C4—24no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—172no—
572C4⋊C4—172no—
573C4⋊C4—172no—
574C4⋊C4—341no—
575C4⋊C4—341no—
576C4⋊C4—341no—
577C4⋊C4—344no—
578C4⋊C4—344no—
579C4⋊C4—344no—
580C4⋊C4—344no—
581C4⋊C4—344no—
582C4⋊C4—344no—
583C4⋊C4—344no—
584C4⋊C4—344no—
585C4⋊C4C2×C22⋊D1714yes—
586C4⋊C4C2×C22⋊D1714yes—
587C4⋊C4C2×C22⋊D1714yes—
588C4⋊C4C23×D1712yes—
589C4⋊C4C23×D1712yes—
590C4⋊C4C23×D1712yes—
591C22⋊C4—24no—
592C22⋊C4—24no—
593C22⋊C4—24no—
594C42—344no—
595C42—344no—
596C42—344no—
597C42C2×C22⋊D1712yes—
598C42C2×C22⋊D1712yes—
599C42C2×C22⋊D1712yes—
600C42C23×D1712yes—
601C42C23×D1712yes—
602C42C23×D1712yes—
603C23—24no—
604C23—22no—
605C23—42no—
606C23—42no—
607C23C22×C22⋊D1711yescharacteristic
608Q8—44no—
609Q8—84no—
610Q8—174no—
611Q8—344no—
612Q8—342no—
613Q8—688no—
614D4—24no—
615D4—22no—
616D4C2×Q8×D1714yes—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—48no—
627C2×C4—42no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—84no—
631C2×C4—84no—
632C2×C4—344no—
633C2×C4—342no—
634C2×C4—342no—
635C2×C4—342no—
636C2×C4—342no—
637C2×C4—682no—
638C2×C4—682no—
639C2×C4—682no—
640C2×C4C2×Q8×D1712yes—
641C2×C4#1058769412yes—
642C2×C4C22×C22⋊D1712yes—
643C2×C4C22×C22⋊D1712yes—
644C2×C4C22×C22⋊D1712yes—
645C2×C4C22×C22⋊D1712yes—
646C2×C4C22×C22⋊D1712yes—
647C2×C4C22×C22⋊D1712yes—
648C2×C4C22×C22⋊D1711yescharacteristic
649C2×C4C24×D1711yescharacteristic
650C8—174no—
651C8—342no—
652C8—342no—
653C8—342no—
654C22—24no—
655C22—48no—
656C22—42no—
657C22—42no—
658C22Q8×C22⋊D1712yes—
659C22#1176360712yes—
660C22#1176362012yes—
661C22C23×C22⋊D1711yescharacteristic
662C4—22no—
663C4—22no—
664C4—22no—
665C4—22no—
666C4—22no—
667C4—22no—
668C4—42no—
669C4—42no—
670C4—42no—
671C4—344no—
672C4—682no—
673C4—682no—
674C4—682no—
675C4Q8×C22⋊D1712yes—
676C4C22×Q8×D1711yescharacteristic
677C4C2×#1058769411yescharacteristic
678C2—44no—
679C2#1454172914yesdirect product factor
680C2C2×Q8×C22⋊D1711yescharacteristic
681C2C2×#1176360711yescharacteristic
682C2C2×#1176362011yescharacteristic
subgroupG/H
centerC23C22×C22⋊D17
commutator, cosocleC2×C4×C17C25
FrattiniC2×C4C24×D17
FittingC2×C17×#554C2
socleC23×C17C22×D4
prime radicalC22×D4×C17C23
hypercenterC2×#554D17
hypocenterC17C2×#3388
LCSG ▷ C2×C4×C17 ▷ C2×C17 ▷ C17
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#554

Complements

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

NH ≅ G/Ntype
1. C2×#11763537C2semidirect
2. #14541729C2direct (N × H)
3. C2×#11763219C2semidirect
4. C2×#11763215C2semidirect
5. C2×#11763208C2semidirect
6. C2×#11763113C2semidirect
7. C2×#11763113C2semidirect
8. C2×#11763091C2semidirect
12. C2×#11762940C2semidirect
19. #11763537C22semidirect
30. #11763219C22semidirect
31. #11763215C22semidirect
32. #11763208C22semidirect
33. #11763113C22semidirect
34. #11763113C22semidirect
38. #11763091C22semidirect
39. #11762940C22semidirect
121. C2×#63229Q8semidirect
235. #63229C2×Q8semidirect
414. C2×C17#3388semidirect
518. C17C2×#3388semidirect
679. C2#14541729direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#117635372
#145417292
C2×#117632192
C2×#117632152
C2×#117632082
C2×#117631132
C2×#117630912
C2×#117631092
C2×#117630992
C2×#117629402
C2×#117629092
C2×C4×#632292
C2×C17×#5542
C2×#338817