Finite Group Databasebeta

← C2×#20254673 #27088501

Subgroups — C2×#20254673 #27088501

Order 12032.

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×#15689751C211yesmaximal, characteristic, complemented
2C2×#15689744C211yesmaximal, characteristic
3#20254673C2116yesmaximal, direct product factor
4C2×#15689532C211yesmaximal, characteristic, complemented
5C2×#15689528C211yesmaximal, characteristic, complemented
6C2×#15689483C211yesmaximal, characteristic, complemented
7C2×#15689478C211yesmaximal, characteristic, complemented
8C2×#15689459C211yesmaximal, characteristic, complemented
9C2×#15689465C211yesmaximal, characteristic, complemented
10C2×#15689448C211yesmaximal, characteristic
11C2×#15689437C211yesmaximal, characteristic
12C2×#15689431C211yesmaximal, characteristic, complemented
13C2×#15689419C211yesmaximal, characteristic, complemented
14C2×#15689424C211yesmaximal, characteristic, complemented
15C2×#15689404C211yesmaximal, characteristic, complemented
16C2×C47×#433C211yesmaximal, characteristic, complemented
17#15689751—24no—
18#15689751C2218yescomplemented
19#15689744—24no—
20#15689744C2218yes—
21C2×#13094024C2211yescharacteristic
22C2×#13094024C2211yescharacteristic
23C2×#13094024C2211yescharacteristic
24C2×#13094023—21no—
25C2×#13094019—21no—
26C2×#13094016C2211yescharacteristic
27C2×#13094016C2211yescharacteristic
28C2×#13094015—21no—
29C2×#13094012C2211yescharacteristic
30C2×#13094010—21no—
31C2×#13094006—21no—
32C2×#13094003C2211yescharacteristic
33C2×#13094002—21no—
34C2×#13094001—21no—
35C2×#13094001—21no—
36C2×#13093998C2211yescharacteristic
37C2×C4×Dic94C2211yescharacteristic
38C2×C4×D188C2211yescharacteristic
39C2×#13093983C2211yescharacteristic
40C22×C4⋊Dic47C2211yescharacteristic
41#15689532C2218yescomplemented
42#15689528C2218yescomplemented
43#15689483C2218yescomplemented
44#15689478C2218yescomplemented
45#15689465C2218yescomplemented
46#15689459C2218yescomplemented
47#15689448C2218yes—
48#15689437C2218yes—
49#15689431C2218yescomplemented
50#15689424C2218yescomplemented
51#15689419C2218yescomplemented
52#15689404C2218yescomplemented
53C2×#13093958C2211yescharacteristic
54C2×#13093958C2211yescharacteristic
55C2×#13093958C2211yescharacteristic
56C2×#13093958C2211yescharacteristic
57C2×#13093958C2211yescharacteristic
58C2×#13093958C2211yescharacteristic
59C2×#13093956C2211yescharacteristic
60C2×#13093956C2211yescharacteristic
61C2×#13093949C2211yescharacteristic
62C2×#13093949C2211yescharacteristic
63C2×#13093949C2211yescharacteristic
64C2×#13093949C2211yescharacteristic
65C2×#13093946C2211yescharacteristic
66C2×#13093946C2211yescharacteristic
67C2×#13093946C2211yescharacteristic
68C2×#13093946C2211yescharacteristic
69C2×#117×C47C2211yescharacteristic
70C47×#433C2218yescomplemented
71C2×C4⋊C8×C47C2211yescharacteristic
72C2×C4⋊C8×C47C2211yescharacteristic
73C2×C22⋊C8×C47C2211yescharacteristic
74C2×C22⋊C8×C47C2211yescharacteristic
75C2×#97×C47C2211yescharacteristic
76C2×C4×C8×C47C2211yescharacteristic
77C22×Dic94—21no—
78C22×Dic94—21no—
79C22×Dic94—21no—
80C22×Dic94C2311yescharacteristic
81C22×D188C2311yescharacteristic
82C22×C22⋊D47—21no—
83C23×Dic47—21no—
84C22×C4×D47—21no—
85#13094024—22no—
86#13094024—22no—
87#13094024—22no—
88#13094024C2314yes—
89#13094024C2314yes—
90#13094024C2314yes—
91#13094023—28no—
92#13094019—28no—
93#13094016—22no—
94#13094016—22no—
95#13094016C2314yes—
96#13094016C2314yes—
97#13094015—28no—
98#13094012—22no—
99#13094012C2314yes—
100#13094010—28no—
101#13094006—28no—
102#13094003—22no—
103#13094003C2314yes—
104#13094002—28no—
105#13094001—28no—
106#13094001—28no—
107#13093998—22no—
108#13093998C2314yes—
109C4×Dic94—22no—
110C4×Dic94C2314yes—
111C4×D188—22no—
112C4×D188C2314yes—
113#13093983—22no—
114#13093983C2314yes—
115C2×C4⋊Dic47—22no—
116C2×C4⋊Dic47—21no—
117C2×C4⋊Dic47—21no—
118C2×C4⋊Dic47—21no—
119C2×C4⋊Dic47—21no—
120C2×C4⋊Dic47C2314yes—
121C2×C4⋊Dic47C2311yescharacteristic
122C2×C4⋊Dic47C2311yescharacteristic
123C2×C4⋊Dic47C2311yescharacteristic
124C2×C4⋊Dic47C2311yescharacteristic
125C2×C4⋊Dic47C2311yescharacteristic
126C2×C4⋊Dic47C2311yescharacteristic
127C2×Dic47⋊C4—21no—
128C2×Dic47⋊C4—21no—
129C2×Dic47⋊C4—21no—
130C2×Dic47⋊C4—21no—
131C2×Dic47⋊C4—21no—
132C2×Dic47⋊C4—21no—
133C2×C22⋊Dic47—21no—
134C2×C22⋊Dic47—21no—
135C2×(C2×D47)⋊C4—21no—
136C2×(C2×D47)⋊C4—21no—
137C2×(C2×D47)⋊C4—21no—
138C2×(C2×D47)⋊C4—21no—
139C2×C4×Dic47—21no—
140C2×C4×Dic47—21no—
141#13093958C2314yes—
142#13093958C2314yes—
143#13093958C2314yes—
144#13093958C2314yes—
145#13093958C2314yes—
146#13093958C2314yes—
147#13093956C2314yes—
148#13093956C2314yes—
149#13093949C2314yes—
150#13093949C2314yes—
151#13093949C2314yes—
152#13093949C2314yes—
153#13093946C2314yes—
154#13093946C2314yes—
155#13093946C2314yes—
156#13093946C2314yes—
157C23×C4×C47C2311yescharacteristic
158C22×C8×C47C2311yescharacteristic
159C22×C8×C47C2311yescharacteristic
160C22×C8×C47C2311yescharacteristic
161C22×C8×C47C2311yescharacteristic
162#117×C47D414yes—
163#117×C47C2314yes—
164C2×C4⋊C4×C47D411yescharacteristic
165C2×C4⋊C4×C47D411yescharacteristic
166C2×C22⋊C4×C47D411yescharacteristic
167C2×C22⋊C4×C47D411yescharacteristic
168C2×C42×C47C2311yescharacteristic
169C2×C42×C47C2311yescharacteristic
170C4⋊C8×C47C2314yes—
171C4⋊C8×C47C2314yes—
172C22⋊C8×C47C2314yes—
173C22⋊C8×C47C2314yes—
174#97×C47C2314yes—
175C4×C8×C47C2314yes—
176C24×C47C2×D411yescharacteristic
177C23×D47—21no—
178C22×C4×C47—22no—
179C22×C4×C47—22no—
180C22×C4×C47C2×D411yescharacteristic
181C22×C4×C47C2×D411yescharacteristic
182C22×C4×C47C2×D411yescharacteristic
183C22×C4×C47C2×D411yescharacteristic
184C22×C4×C47C2×D411yescharacteristic
185C22×C4×C47C2×D412yes—
186C22×C4×C47C2412yes—
187C22×C4×C47C2411yescharacteristic
188C2×C22⋊D47—24no—
189C2×C22⋊D47—82no—
190C22×Dic47—21no—
191C22×Dic47—21no—
192C22×Dic47—21no—
193C22×Dic47—21no—
194C22×Dic47—21no—
195C22×Dic47—21no—
196C22×Dic47—21no—
197C22×Dic47—24no—
198C22×Dic47—82no—
199C2×D188—22no—
200C2×D188—22no—
201C2×D188—21no—
202C2×D188C2412yes—
203C2×C4×D47—24no—
204C2×C4×D47—82no—
205C2×Dic94—22no—
206C2×Dic94—22no—
207C2×Dic94—21no—
208C2×Dic94—24no—
209C2×Dic94—24no—
210C2×Dic94—24no—
211C2×Dic94—82no—
212C2×Dic94—82no—
213C2×Dic94—82no—
214C2×Dic94C2412yes—
215C2×C8×C47—22no—
216C2×C8×C47—22no—
217C2×C8×C47—22no—
218C2×C8×C47—22no—
219C2×C8×C47C2412yes—
220C2×C8×C47C2412yes—
221C2×C8×C47C2412yes—
222C2×C8×C47C2412yes—
223C4⋊C4×C47C2×D414yes—
224C4⋊C4×C47C2×D414yes—
225C22⋊C4×C47C2×D414yes—
226C22⋊C4×C47C2×D414yes—
227C42×C47C2×D412yes—
228C42×C47C2×D412yes—
229C42×C47C2412yes—
230C42×C47C2412yes—
231C22⋊Dic47—24no—
232C22⋊Dic47—24no—
233(C2×D47)⋊C4—24no—
234(C2×D47)⋊C4—24no—
235(C2×D47)⋊C4—24no—
236(C2×D47)⋊C4—24no—
237C4⋊Dic47—24no—
238C4⋊Dic47—21no—
239C4⋊Dic47—21no—
240C4⋊Dic47—24no—
241C4⋊Dic47—24no—
242C4⋊Dic47—24no—
243C4⋊Dic47—21no—
244C4⋊Dic47—21no—
245C4⋊Dic47—21no—
246C4⋊Dic47—21no—
247C4⋊Dic47C2412yes—
248C4⋊Dic47C2412yes—
249C4⋊Dic47C2412yes—
250C4⋊Dic47C2412yes—
251C4⋊Dic47C2412yes—
252C4⋊Dic47C2412yes—
253Dic47⋊C4—24no—
254Dic47⋊C4—24no—
255Dic47⋊C4—24no—
256Dic47⋊C4—24no—
257Dic47⋊C4—24no—
258Dic47⋊C4—24no—
259C4×Dic47—24no—
260C4×Dic47—24no—
261C23×C47—22no—
262C23×C47—22no—
263C23×C47—22no—
264C23×C47C22×D412yes—
265C23×C47C22×D411yescharacteristic
266C22×D47—22no—
267C22×D47—42no—
268C22×D47—42no—
269C22×D47—42no—
270C2×C4×C47—22no—
271C2×C4×C47—22no—
272C2×C4×C47—22no—
273C2×C4×C47—22no—
274C2×C4×C47—22no—
275C2×C4×C47—24no—
276C2×C4×C47—22no—
277C2×C4×C47—22no—
278C2×C4×C47C22×D412yes—
279C2×C4×C47C22×D412yes—
280C2×C4×C47C22×D412yes—
281C2×C4×C47C22×D412yes—
282C2×C4×C47C22×D412yes—
283C2×C4×C47C22×D411yescharacteristic
284C2×C4×C472−1+412yes—
285C2×C4×C472−1+412yes—
286C2×C4×C47C2511yescharacteristic
287C22⋊D47—84no—
288C2×Dic47—22no—
289C2×Dic47—22no—
290C2×Dic47—22no—
291C2×Dic47—22no—
292C2×Dic47—22no—
293C2×Dic47—22no—
294C2×Dic47—22no—
295C2×Dic47—42no—
296C2×Dic47—42no—
297C2×Dic47—42no—
298C2×Dic47—42no—
299C2×Dic47—42no—
300C2×Dic47—42no—
301C2×Dic47—42no—
302C2×Dic47—84no—
303D188—22no—
304D188—22no—
305D188—42no—
306C4×D47—84no—
307Dic94—22no—
308Dic94—22no—
309Dic94—42no—
310Dic94—84no—
311Dic94—84no—
312Dic94—84no—
313C8×C47—22no—
314C8×C47—22no—
315C8×C47—22no—
316C8×C47—22no—
317C2×#3243—471nomaximal, Sylow
318C22×C47—22no—
319C22×C47—22no—
320C22×C47—22no—
321C22×C47—44no—
322C22×C47#53612yes—
323C22×C47#57612yes—
324C22×C47#57812yes—
325C22×C47C23×D411yescharacteristic
326C2×D47—42no—
327C2×D47—42no—
328C2×D47—42no—
329C2×D47—84no—
330C4×C47—22no—
331C4×C47—22no—
332C4×C47—22no—
333C4×C47—22no—
334C4×C47—22no—
335C4×C47#53612yes—
336C4×C47C2×2−1+411yescharacteristic
337C4×C47C2×2−1+411yescharacteristic
338Dic47—42no—
339Dic47—42no—
340Dic47—42no—
341Dic47—42no—
342Dic47—42no—
343Dic47—42no—
344Dic47—42no—
345C2×#544—471no—
346C2×#542—471no—
347#3243—4716no—
348C2×#501—471no—
349C2×#500—471no—
350C2×#489—471no—
351C2×#488—471no—
352C2×#484—471no—
353C2×#485—471no—
354C2×#482—471no—
355C2×#480—471no—
356C2×#479—471no—
357C2×#477—471no—
358C2×#478—471no—
359C2×#474—471no—
360C2×#433D4711yescharacteristic, complemented
361C2×C47—42no—
362C2×C47#324314yescomplemented
363C2×C47C2×#53611yescharacteristic
364C2×C47C2×#57611yescharacteristic
365C2×C47C2×#57811yescharacteristic
366D47—82no—
367#544—478no—
368#544—944no—
369#542—478no—
370#542—944no—
371C2×C4⋊Q8—471no—
372C2×C4⋊Q8—471no—
373C2×C4⋊Q8—471no—
374C2×C4⋊Q8—941no—
375C2×#126—941no—
376C2×#125—471no—
377C2×#125—471no—
378C2×#125—941no—
379C2×#124—471no—
380C2×#124—941no—
381C2×#123—941no—
382C2×C22⋊Q8—471no—
383C2×C22⋊Q8—941no—
384C2×C22⋊Q8—941no—
385C2×C22⋊Q8—941no—
386C2×#121—471no—
387C2×C4×Q8—471no—
388C2×C4×D4—471no—
389C2×#117—471no—
390C2×#117C2×D4711yescharacteristic
391C22×C4⋊C4—471no—
392#501—478no—
393#500—478no—
394#489—478no—
395#488—478no—
396#485—478no—
397#484—478no—
398#482—478no—
399#480—478no—
400#479—478no—
401#478—478no—
402#477—478no—
403#474—478no—
404#433C2×D4718yescomplemented
405C2×#107—471no—
406C2×#107—471no—
407C2×#107—471no—
408C2×#107—471no—
409C2×#107—471no—
410C2×#107—471no—
411C2×#106—471no—
412C2×#106—471no—
413C2×C4⋊C8C2×D4711yescharacteristic
414C2×C4⋊C8C2×D4711yescharacteristic
415C2×#103—471no—
416C2×#103—471no—
417C2×#103—471no—
418C2×#103—471no—
419C2×#102—471no—
420C2×#102—471no—
421C2×#102—471no—
422C2×#102—471no—
423C2×C22⋊C8C2×D4711yescharacteristic
424C2×C22⋊C8C2×D4711yescharacteristic
425C2×#97C2×D4711yescharacteristic
426C2×C4×C8C2×D4711yescharacteristic
427C47C2×#324311yescharacteristic, complemented, Sylow
428C22×Q8—471no—
429C22×Q8—941no—
430C22×Q8—941no—
431C22×Q8—941no—
432C22×D4—471no—
433C22×D4—941no—
434C23×C4—941no—
435C23×C4—941no—
436C23×C4C22×D4711yescharacteristic
437C22×C8C22×D4711yescharacteristic
438C22×C8C22×D4711yescharacteristic
439C22×C8C22×D4711yescharacteristic
440C22×C8C22×D4711yescharacteristic
441C4⋊Q8—474no—
442C4⋊Q8—474no—
443C4⋊Q8—474no—
444C4⋊Q8—948no—
445C4⋊Q8—942no—
446C4⋊Q8—942no—
447C4⋊Q8—942no—
448#126—948no—
449#125—474no—
450#125—474no—
451#125—948no—
452#125—942no—
453#125—942no—
454#124—474no—
455#124—948no—
456#124—942no—
457#123—948no—
458C22⋊Q8—474no—
459C22⋊Q8—942no—
460C22⋊Q8—948no—
461C22⋊Q8—948no—
462C22⋊Q8—948no—
463#121—474no—
464#121—942no—
465C4×Q8—474no—
466C4×Q8—942no—
467C4×D4—474no—
468C4×D4—942no—
469#117—474no—
470#117—942no—
471#117D18814yes—
472#117C22×D4714yes—
473C2×C4⋊C4—471no—
474C2×C4⋊C4—471no—
475C2×C4⋊C4—474no—
476C2×C4⋊C4—471no—
477C2×C4⋊C4—471no—
478C2×C4⋊C4—471no—
479C2×C4⋊C4—471no—
480C2×C4⋊C4—941no—
481C2×C4⋊C4—942no—
482C2×C4⋊C4—941no—
483C2×C4⋊C4—941no—
484C2×C4⋊C4—941no—
485C2×C4⋊C4—941no—
486C2×C4⋊C4—941no—
487C2×C4⋊C4—941no—
488C2×C4⋊C4—941no—
489C2×C4⋊C4—941no—
490C2×C4⋊C4—941no—
491C2×C4⋊C4D18811yescharacteristic
492C2×C4⋊C4D18811yescharacteristic
493C2×C22⋊C4—941no—
494C2×C22⋊C4—941no—
495C2×C22⋊C4—941no—
496C2×C22⋊C4—941no—
497C2×C22⋊C4—941no—
498C2×C22⋊C4—941no—
499C2×C22⋊C4D18811yescharacteristic
500C2×C22⋊C4D18811yescharacteristic
501C2×C42—941no—
502C2×C42—941no—
503C2×C42C22×D4711yescharacteristic
504C2×C42C22×D4711yescharacteristic
505#107—474no—
506#107—474no—
507#107—474no—
508#107—474no—
509#107—474no—
510#107—474no—
511#106—474no—
512#106—474no—
513C4⋊C8C22×D4714yes—
514C4⋊C8C22×D4714yes—
515#103—474no—
516#103—474no—
517#103—474no—
518#103—474no—
519#102—474no—
520#102—474no—
521#102—474no—
522#102—474no—
523C22⋊C8C22×D4714yes—
524C22⋊C8C22×D4714yes—
525#97C22×D4714yes—
526C4×C8C22×D4714yes—
527C24—941no—
528C24C2×D18811yescharacteristic
529C2×Q8—472no—
530C2×Q8—944no—
531C2×Q8—944no—
532C2×Q8—944no—
533C2×Q8—941no—
534C2×Q8—942no—
535C2×Q8—942no—
536C2×Q8—3762no—
537C2×Q8—3762no—
538C2×Q8—3762no—
539C2×D4—472no—
540C2×D4—944no—
541C2×D4—941no—
542C2×D4—942no—
543C2×D4—942no—
544C2×D4—3762no—
545C22×C4—22no—
546C22×C4—22no—
547C22×C4—944no—
548C22×C4—941no—
549C22×C4—941no—
550C22×C4—941no—
551C22×C4—941no—
552C22×C4—941no—
553C22×C4—941no—
554C22×C4—941no—
555C22×C4—944no—
556C22×C4—3762no—
557C22×C4—3762no—
558C22×C4C2×D18812yes—
559C22×C4C2×D18811yescharacteristic
560C22×C4C2×D18811yescharacteristic
561C22×C4C2×D18811yescharacteristic
562C22×C4C2×D18811yescharacteristic
563C22×C4C2×D18811yescharacteristic
564C22×C4C23×D4712yes—
565C22×C4C23×D4711yescharacteristic
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8C23×D4712yes—
571C2×C8C23×D4712yes—
572C2×C8C23×D4712yes—
573C2×C8C23×D4712yes—
574C4⋊C4—472no—
575C4⋊C4—472no—
576C4⋊C4—472no—
577C4⋊C4—472no—
578C4⋊C4—472no—
579C4⋊C4—472no—
580C4⋊C4—944no—
581C4⋊C4—944no—
582C4⋊C4—944no—
583C4⋊C4—944no—
584C4⋊C4—944no—
585C4⋊C4—944no—
586C4⋊C4—944no—
587C4⋊C4—941no—
588C4⋊C4—941no—
589C4⋊C4—941no—
590C4⋊C4—941no—
591C4⋊C4—941no—
592C4⋊C4—941no—
593C4⋊C4—944no—
594C4⋊C4—944no—
595C4⋊C4—944no—
596C4⋊C4C2×D18814yes—
597C4⋊C4C2×D18814yes—
598C22⋊C4—944no—
599C22⋊C4—944no—
600C22⋊C4—944no—
601C22⋊C4—944no—
602C22⋊C4—944no—
603C22⋊C4—944no—
604C22⋊C4C2×D18814yes—
605C22⋊C4C2×D18814yes—
606C42—944no—
607C42—944no—
608C42C2×D18812yes—
609C42C2×D18812yes—
610C42C23×D4712yes—
611C42C23×D4712yes—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—942no—
616C23—1882no—
617C23—1882no—
618C23—1882no—
619C23C22×D18812yes—
620C23C22×D18811yescharacteristic
621Q8—942no—
622Q8—942no—
623Q8—3764no—
624Q8—3764no—
625Q8—3764no—
626Q8—1882no—
627D4—942no—
628D4—942no—
629D4—3764no—
630D4—1882no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—24no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—942no—
640C2×C4—942no—
641C2×C4—942no—
642C2×C4—942no—
643C2×C4—942no—
644C2×C4—942no—
645C2×C4—942no—
646C2×C4—3764no—
647C2×C4—3764no—
648C2×C4—1882no—
649C2×C4—1882no—
650C2×C4—1882no—
651C2×C4—1882no—
652C2×C4—1882no—
653C2×C4—1882no—
654C2×C4—1882no—
655C2×C4C22×D18812yes—
656C2×C4C22×D18812yes—
657C2×C4C22×D18812yes—
658C2×C4C22×D18812yes—
659C2×C4C22×D18812yes—
660C2×C4C22×D18811yescharacteristic
661C2×C4#1309407112yes—
662C2×C4#1309407112yes—
663C2×C4C24×D4711yescharacteristic
664C8—22no—
665C8—22no—
666C8—22no—
667C8—22no—
668C22—22no—
669C22—22no—
670C22—22no—
671C22—44no—
672C22—3764no—
673C22—1882no—
674C22—1882no—
675C22—1882no—
676C22#1568969912yes—
677C22#1568992812yes—
678C22#1568994012yes—
679C22C23×D18811yescharacteristic
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—22no—
685C4—1882no—
686C4—1882no—
687C4—1882no—
688C4—1882no—
689C4—1882no—
690C4—1882no—
691C4—1882no—
692C4#1568969912yes—
693C4C2×#1309407111yescharacteristic
694C4C2×#1309407111yescharacteristic
695C2—42no—
696C2—3762no—
697C2#2025467314yesdirect product factor
698C2C2×#1568969911yescharacteristic
699C2C2×#1568992811yescharacteristic
700C2C2×#1568994011yescharacteristic
subgroupG/H
centerC23C22×D188
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC2×C47×#433C2
socleC23×C47C22×D4
prime radicalC2×#13093998C22
hypercenterC2×#433D47
hypocenterC47C2×#3243
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#433

Complements

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

NH ≅ G/Ntype
1. C2×#15689751C2semidirect
3. #20254673C2direct (N × H)
4. C2×#15689532C2semidirect
5. C2×#15689528C2semidirect
6. C2×#15689483C2semidirect
7. C2×#15689478C2semidirect
8. C2×#15689459C2semidirect
9. C2×#15689465C2semidirect
12. C2×#15689431C2semidirect
13. C2×#15689419C2semidirect
14. C2×#15689424C2semidirect
15. C2×#15689404C2semidirect
16. C2×C47×#433C2semidirect
18. #15689751C22semidirect
41. #15689532C22semidirect
42. #15689528C22semidirect
43. #15689483C22semidirect
44. #15689478C22semidirect
45. #15689465C22semidirect
46. #15689459C22semidirect
49. #15689431C22semidirect
50. #15689424C22semidirect
51. #15689419C22semidirect
52. #15689404C22semidirect
70. C47×#433C22semidirect
360. C2×#433D47semidirect
362. C2×C47#3243semidirect
404. #433C2×D47semidirect
427. C47C2×#3243semidirect
697. C2#20254673direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156897512
C2×#156897442
#202546732
C2×#156895322
C2×#156895282
C2×#156894832
C2×#156894782
C2×#156894592
C2×#156894652
C2×#156894482
C2×#156894372
C2×#156894312
C2×#156894192
C2×#156894242
C2×#156894042
C2×C47×#4332
C2×#324347