Finite Group Databasebeta

← C2×#20254568 #27088357

Subgroups — C2×#20254568 #27088357

Order 12032.

1810 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×#15689679C211yesmaximal, characteristic, complemented
2C2×#15689658C211yesmaximal, characteristic
3#20254568C2116yesmaximal, direct product factor
4C2×#15689522C211yesmaximal, characteristic, complemented
5C2×#15689480C211yesmaximal, characteristic, complemented
6C2×#15689478C211yesmaximal, characteristic, complemented
7C2×#15689467C211yesmaximal, characteristic, complemented
8C2×#15689466C211yesmaximal, characteristic, complemented
9C2×#15689450C211yesmaximal, characteristic
10C2×#15689449C211yesmaximal, characteristic
11C2×#15689417C211yesmaximal, characteristic, complemented
12C2×#15689407C211yesmaximal, characteristic, complemented
13C2×#15689412C211yesmaximal, characteristic, complemented
14C2×#15689402C211yesmaximal, characteristic, complemented
15C2×#15689174C211yesmaximal, characteristic, complemented
16C2×C47×#499C211yesmaximal, characteristic, complemented
17#15689679—24no—
18#15689679C2218yescomplemented
19C2×#13094023C2211yescharacteristic
20C2×#13094023C2211yescharacteristic
21#15689658—24no—
22#15689658C2218yes—
23C2×#13094019—21no—
24C2×#13094016C2211yescharacteristic
25C2×#13094012C2211yescharacteristic
26C2×#13094009—21no—
27C2×#13094004C2211yescharacteristic
28C2×#13094002—21no—
29C2×#13094002—21no—
30C2×#13093999C2211yescharacteristic
31C2×#13093989—21no—
32C2×#13093989—21no—
33C2×#13093989C2211yescharacteristic
34C2×#13093986—21no—
35C2×#13093986C2211yescharacteristic
36C2×#13093982—21no—
37C2×#13093982C2211yescharacteristic
38C2×#13093982C2211yescharacteristic
39C2×C42×D47C2211yescharacteristic
40#15689522C2218yescomplemented
41#15689480C2218yescomplemented
42#15689478C2218yescomplemented
43#15689467C2218yescomplemented
44#15689466C2218yescomplemented
45#15689450C2218yes—
46#15689449C2218yes—
47#15689417C2218yescomplemented
48#15689412C2218yescomplemented
49#15689407C2218yescomplemented
50#15689402C2218yescomplemented
51#15689174C2218yescomplemented
52C2×#13093957C2211yescharacteristic
53C2×#13093957C2211yescharacteristic
54C2×#13093955C2211yescharacteristic
55C2×#13093955C2211yescharacteristic
56C2×Dic47⋊C8C2211yescharacteristic
57C2×Dic47⋊C8C2211yescharacteristic
58C2×#13093949C2211yescharacteristic
59C2×#13093949C2211yescharacteristic
60C2×#13093947C2211yescharacteristic
61C2×#13093947C2211yescharacteristic
62C2×#13093946C2211yescharacteristic
63C2×#13093946C2211yescharacteristic
64C2×#13093944C2211yescharacteristic
65C2×#13093944C2211yescharacteristic
66C2×(C2×D47)⋊C8C2211yescharacteristic
67C2×(C2×D47)⋊C8C2211yescharacteristic
68C2×C4×C47⋊C8C2211yescharacteristic
69C2×#125×C47C2211yescharacteristic
70C2×#125×C47C2211yescharacteristic
71C47×#499C2218yescomplemented
72C2×#107×C47C2211yescharacteristic
73C2×#107×C47C2211yescharacteristic
74C2×#106×C47C2211yescharacteristic
75C2×#106×C47C2211yescharacteristic
76C2×C4×C8×C47C2211yescharacteristic
77C22×Dic94—21no—
78C22×Dic94—21no—
79C22×Dic94C2311yescharacteristic
80C22×D188—21no—
81C22×D188C2311yescharacteristic
82C22×C4×D47—21no—
83C22×C4×D47D411yescharacteristic
84C22×C4×D47D411yescharacteristic
85C22×C4×D47C2311yescharacteristic
86C22×C47⋊C8C2311yescharacteristic
87C22×C47⋊C8C2311yescharacteristic
88#13094023—22no—
89#13094023—22no—
90#13094023C2314yes—
91#13094023C2314yes—
92#13094019—28no—
93#13094016—22no—
94#13094016C2314yes—
95#13094012—22no—
96#13094012C2314yes—
97#13094009—28no—
98#13094004—22no—
99#13094004C2314yes—
100#13094002—28no—
101#13094002—28no—
102#13093999—22no—
103#13093999C2314yes—
104#13093989—28no—
105#13093989—28no—
106#13093989—22no—
107#13093989C2314yes—
108#13093986—28no—
109#13093986—22no—
110#13093986C2314yes—
111#13093982—22no—
112#13093982—22no—
113#13093982—28no—
114#13093982C2314yes—
115#13093982C2314yes—
116C2×C4⋊Dic47—21no—
117C2×C4⋊Dic47C2311yescharacteristic
118C2×C4⋊Dic47C2311yescharacteristic
119C2×Dic47⋊C4—21no—
120C2×Dic47⋊C4—21no—
121C2×Dic47⋊C4—21no—
122C2×Dic47⋊C4—21no—
123C2×Dic47⋊C4—21no—
124C2×(C2×D47)⋊C4—21no—
125C2×(C2×D47)⋊C4—21no—
126C2×(C2×D47)⋊C4—21no—
127C2×(C2×D47)⋊C4—21no—
128C2×(C2×D47)⋊C4—21no—
129C2×(C2×D47)⋊C4—21no—
130C2×(C2×D47)⋊C4—21no—
131C2×C4×Dic47—21no—
132C2×C4×Dic47—21no—
133C2×C4×Dic47—21no—
134C2×C4×Dic47D411yescharacteristic
135C2×C4×Dic47D411yescharacteristic
136C2×C4×Dic47C2311yescharacteristic
137C42×D47D414yes—
138C42×D47C2314yes—
139#13093957C2314yes—
140#13093957C2314yes—
141#13093955C2314yes—
142#13093955C2314yes—
143Dic47⋊C8C2314yes—
144Dic47⋊C8C2314yes—
145#13093949C2314yes—
146#13093949C2314yes—
147#13093947C2314yes—
148#13093947C2314yes—
149#13093946C2314yes—
150#13093946C2314yes—
151#13093944C2314yes—
152#13093944C2314yes—
153(C2×D47)⋊C8C2314yes—
154(C2×D47)⋊C8C2314yes—
155C4×C47⋊C8C2314yes—
156C22×C8×C47C2311yescharacteristic
157C22×C8×C47C2311yescharacteristic
158#125×C47—22no—
159#125×C47—22no—
160#125×C47C2314yes—
161#125×C47C2314yes—
162C2×C4⋊C4×C47—21no—
163C2×C4⋊C4×C47—21no—
164C2×C4⋊C4×C47—21no—
165C2×C4⋊C4×C47—21no—
166C2×C4⋊C4×C47C2311yescharacteristic
167C2×C4⋊C4×C47C2311yescharacteristic
168C2×C4⋊C4×C47C2311yescharacteristic
169C2×C4⋊C4×C47C2311yescharacteristic
170C2×C42×C47C2311yescharacteristic
171#107×C47C2314yes—
172#107×C47C2314yes—
173#106×C47C2314yes—
174#106×C47C2314yes—
175C4×C8×C47C2314yes—
176C23×D47—21no—
177C23×D47C2×D411yescharacteristic
178C22×C4×C47—21no—
179C22×C4×C47—21no—
180C22×C4×C47—21no—
181C22×C4×C47—21no—
182C22×C4×C47C2×D411yescharacteristic
183C22×C4×C47C2×D411yescharacteristic
184C22×C4×C47C2411yescharacteristic
185C22×Dic47—21no—
186C22×Dic47—21no—
187C22×Dic47—21no—
188C22×Dic47C2×D411yescharacteristic
189C22×Dic47C2×D411yescharacteristic
190C22×Dic47C2×D411yescharacteristic
191C2×D188—22no—
192C2×D188—22no—
193C2×D188—24no—
194C2×D188—21no—
195C2×D188—44no—
196C2×D188C2412yes—
197C2×C4×D47—22no—
198C2×C4×D47—22no—
199C2×C4×D47—24no—
200C2×C4×D47—24no—
201C2×C4×D47—42no—
202C2×C4×D47—44no—
203C2×C4×D47C2×D412yes—
204C2×C4×D47C2×D414yes—
205C2×C4×D47C2×D414yes—
206C2×C4×D47C2412yes—
207C2×Dic94—22no—
208C2×Dic94—22no—
209C2×Dic94—21no—
210C2×Dic94—24no—
211C2×Dic94—24no—
212C2×Dic94—44no—
213C2×Dic94—44no—
214C2×Dic94C2412yes—
215C2×C8×C47—22no—
216C2×C8×C47—22no—
217C2×C8×C47C2412yes—
218C2×C8×C47C2412yes—
219C4⋊C4×C47—24no—
220C4⋊C4×C47—24no—
221C4⋊C4×C47—24no—
222C4⋊C4×C47—24no—
223C4⋊C4×C47—21no—
224C4⋊C4×C47—21no—
225C4⋊C4×C47—21no—
226C4⋊C4×C47—21no—
227C4⋊C4×C47C2412yes—
228C4⋊C4×C47C2412yes—
229C4⋊C4×C47C2412yes—
230C4⋊C4×C47C2412yes—
231C42×C47C2×D412yes—
232C42×C47C2412yes—
233(C2×D47)⋊C4—24no—
234(C2×D47)⋊C4—24no—
235(C2×D47)⋊C4—24no—
236(C2×D47)⋊C4—24no—
237(C2×D47)⋊C4—24no—
238(C2×D47)⋊C4—24no—
239(C2×D47)⋊C4—24no—
240C4⋊Dic47—21no—
241C4⋊Dic47—21no—
242C4⋊Dic47—24no—
243C4⋊Dic47C2412yes—
244C4⋊Dic47C2412yes—
245Dic47⋊C4—24no—
246Dic47⋊C4—24no—
247Dic47⋊C4—24no—
248Dic47⋊C4—24no—
249Dic47⋊C4—24no—
250C4×Dic47—24no—
251C4×Dic47—24no—
252C4×Dic47—24no—
253C4×Dic47C2×D412yes—
254C4×Dic47C2×D414yes—
255C4×Dic47C2×D414yes—
256C4×Dic47C2412yes—
257C2×C47⋊C8—22no—
258C2×C47⋊C8—22no—
259C2×C47⋊C8C2412yes—
260C2×C47⋊C8C2412yes—
261C23×C47C22×D411yescharacteristic
262C22×D47—22no—
263C22×D47—22no—
264C22×D47—22no—
265C22×D47—22no—
266C22×D47—42no—
267C22×D47—42no—
268C22×D47—42no—
269C22×D47C22×D412yes—
270C2×C4×C47—22no—
271C2×C4×C47—22no—
272C2×C4×C47—22no—
273C2×C4×C47—22no—
274C2×C4×C47—22no—
275C2×C4×C47—22no—
276C2×C4×C47—42no—
277C2×C4×C47—42no—
278C2×C4×C47—42no—
279C2×C4×C47—42no—
280C2×C4×C47C22×D412yes—
281C2×C4×C47C22×D412yes—
282C2×C4×C47C22×D411yescharacteristic
283C2×C4×C472−1+412yes—
284C2×C4×C472−1+412yes—
285C2×C4×C47C2511yescharacteristic
286C2×Dic47—22no—
287C2×Dic47—22no—
288C2×Dic47—22no—
289C2×Dic47—22no—
290C2×Dic47—22no—
291C2×Dic47—42no—
292C2×Dic47—42no—
293C2×Dic47—42no—
294C2×Dic47#13514yes—
295C2×Dic47C22×D412yes—
296C2×Dic47C22×D412yes—
297C2×Dic47C22×D412yes—
298D188—22no—
299D188—22no—
300D188—48no—
301D188—42no—
302C4×D47—24no—
303C4×D47—22no—
304C4×D47—22no—
305C4×D47—28no—
306C4×D47—44no—
307C4×D47—48no—
308Dic94—22no—
309Dic94—22no—
310Dic94—48no—
311Dic94—42no—
312Dic94—48no—
313C8×C47—22no—
314C8×C47—22no—
315C47⋊C8—22no—
316C47⋊C8—22no—
317C2×#3233—471nomaximal, Sylow
318C22×C47#53612yes—
319C22×C47C2×#13512yes—
320C22×C47#57512yes—
321C22×C47C23×D411yescharacteristic
322C2×D47—22no—
323C2×D47—22no—
324C2×D47—22no—
325C2×D47—44no—
326C2×D47—42no—
327C2×D47—42no—
328C2×D47—42no—
329C2×D47—84no—
330C4×C47—22no—
331C4×C47—22no—
332C4×C47—42no—
333C4×C47—42no—
334C4×C47—42no—
335C4×C47—42no—
336C4×C47#53612yes—
337C4×C47C2×2−1+411yescharacteristic
338C4×C47C2×2−1+411yescharacteristic
339Dic47—22no—
340Dic47—22no—
341Dic47—42no—
342Dic47—42no—
343Dic47—42no—
344Dic47C2×#13514yes—
345C2×#533—471no—
346C2×#529—471no—
347#3233—4716no—
348C2×#499—471no—
349C2×#499D4711yescharacteristic, complemented
350C2×#488—471no—
351C2×#488—471no—
352C2×#485—471no—
353C2×#485—471no—
354C2×#482—471no—
355C2×#482—471no—
356C2×#477—471no—
357C2×#475—471no—
358C2×#476—471no—
359C2×#474—471no—
360C2×#431—471no—
361C2×C47#323314yescomplemented
362C2×C47C2×#53611yescharacteristic
363C2×C47C22×#13511yescharacteristic
364C2×C47C2×#57511yescharacteristic
365D47—42no—
366D47—82no—
367#533—478no—
368#533—944no—
369C2×C4⋊Q8—471no—
370C2×C4⋊Q8—471no—
371#529—478no—
372#529—944no—
373C2×#126—941no—
374C2×#125—471no—
375C2×#125C2×D4711yescharacteristic
376C2×#125C2×D4711yescharacteristic
377C2×#124—471no—
378C2×#123—941no—
379C2×C22⋊Q8—471no—
380C2×C22⋊Q8—941no—
381C2×C22⋊Q8—941no—
382C2×#121—471no—
383C2×C4×Q8—471no—
384C2×C4×Q8—941no—
385C2×C4×Q8—941no—
386C2×C4×D4—471no—
387C2×C4×D4—941no—
388C2×#117—471no—
389C2×#117—471no—
390C2×#117—941no—
391C22×C42—471no—
392#499—478no—
393#499C2×D4718yescomplemented
394#488—478no—
395#488—478no—
396#485—478no—
397#485—478no—
398#482—478no—
399#482—478no—
400#477—478no—
401#476—478no—
402#475—478no—
403#474—478no—
404#431—478no—
405C2×#107—471no—
406C2×#107—471no—
407C2×#107C2×D4711yescharacteristic
408C2×#107C2×D4711yescharacteristic
409C2×#106—471no—
410C2×#106—471no—
411C2×#106C2×D4711yescharacteristic
412C2×#106C2×D4711yescharacteristic
413C2×C4⋊C8—471no—
414C2×C4⋊C8—471no—
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⋊C8—471no—
424C2×C22⋊C8—471no—
425C2×C4×C8—471no—
426C2×C4×C8C2×D4711yescharacteristic
427C47C2×#323311yescharacteristic, complemented, Sylow
428C22×Q8—471no—
429C22×Q8—941no—
430C22×Q8—941no—
431C22×D4—471no—
432C22×D4—941no—
433C23×C4—471no—
434C23×C4—471no—
435C23×C4—471no—
436C23×C4—941no—
437C22×C8—471no—
438C22×C8—471no—
439C22×C8C22×D4711yescharacteristic
440C22×C8C22×D4711yescharacteristic
441C4⋊Q8—474no—
442C4⋊Q8—474no—
443C4⋊Q8—942no—
444C4⋊Q8—942no—
445#126—948no—
446#125—22no—
447#125—22no—
448#125—474no—
449#125—942no—
450#125C22×D4714yes—
451#125C22×D4714yes—
452#124—474no—
453#124—942no—
454#123—948no—
455C22⋊Q8—474no—
456C22⋊Q8—942no—
457C22⋊Q8—948no—
458C22⋊Q8—948no—
459#121—474no—
460#121—942no—
461C4×Q8—474no—
462C4×Q8—942no—
463C4×Q8—948no—
464C4×Q8—948no—
465C4×D4—474no—
466C4×D4—942no—
467C4×D4—948no—
468#117—474no—
469#117—474no—
470#117—948no—
471#117—942no—
472#117—942no—
473C2×C4⋊C4—21no—
474C2×C4⋊C4—21no—
475C2×C4⋊C4—21no—
476C2×C4⋊C4—21no—
477C2×C4⋊C4—471no—
478C2×C4⋊C4—471no—
479C2×C4⋊C4—941no—
480C2×C4⋊C4—941no—
481C2×C4⋊C4—941no—
482C2×C4⋊C4—941no—
483C2×C4⋊C4—941no—
484C2×C4⋊C4—941no—
485C2×C4⋊C4C22×D4711yescharacteristic
486C2×C4⋊C4C22×D4711yescharacteristic
487C2×C4⋊C4C22×D4711yescharacteristic
488C2×C4⋊C4C22×D4711yescharacteristic
489C2×C22⋊C4—941no—
490C2×C22⋊C4—941no—
491C2×C22⋊C4—941no—
492C2×C22⋊C4—941no—
493C2×C22⋊C4—941no—
494C2×C22⋊C4—941no—
495C2×C22⋊C4—941no—
496C2×C42—471no—
497C2×C42—471no—
498C2×C42—471no—
499C2×C42—474no—
500C2×C42—474no—
501C2×C42—941no—
502C2×C42—941no—
503C2×C42—941no—
504C2×C42C22×D4711yescharacteristic
505#107—474no—
506#107—474no—
507#107C22×D4714yes—
508#107C22×D4714yes—
509#106—474no—
510#106—474no—
511#106C22×D4714yes—
512#106C22×D4714yes—
513C4⋊C8—474no—
514C4⋊C8—474no—
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⋊C8—474no—
524C22⋊C8—474no—
525C4×C8—474no—
526C4×C8C22×D4714yes—
527C24—471no—
528C24—941no—
529C2×Q8—472no—
530C2×Q8—944no—
531C2×Q8—944no—
532C2×Q8—941no—
533C2×Q8—942no—
534C2×Q8—942no—
535C2×Q8—1884no—
536C2×Q8—1884no—
537C2×D4—472no—
538C2×D4—944no—
539C2×D4—941no—
540C2×D4—942no—
541C2×D4—942no—
542C2×D4—1884no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—21no—
546C22×C4—21no—
547C22×C4—471no—
548C22×C4—471no—
549C22×C4—471no—
550C22×C4—472no—
551C22×C4—474no—
552C22×C4—472no—
553C22×C4—474no—
554C22×C4—944no—
555C22×C4—944no—
556C22×C4—942no—
557C22×C4—942no—
558C22×C4—941no—
559C22×C4—941no—
560C22×C4—941no—
561C22×C4—1882no—
562C22×C4—1884no—
563C22×C4D4×D4711yescharacteristic
564C22×C4D4×D4711yescharacteristic
565C22×C4C23×D4711yescharacteristic
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—472no—
569C2×C8—472no—
570C2×C8—942no—
571C2×C8—942no—
572C2×C8C23×D4712yes—
573C2×C8C23×D4712yes—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—24no—
577C4⋊C4—24no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—21no—
582C4⋊C4—472no—
583C4⋊C4—472no—
584C4⋊C4—944no—
585C4⋊C4—944no—
586C4⋊C4—944no—
587C4⋊C4—944no—
588C4⋊C4—944no—
589C4⋊C4—944no—
590C4⋊C4—941no—
591C4⋊C4—941no—
592C4⋊C4C23×D4712yes—
593C4⋊C4C23×D4712yes—
594C4⋊C4C23×D4712yes—
595C4⋊C4C23×D4712yes—
596C22⋊C4—944no—
597C22⋊C4—944no—
598C22⋊C4—944no—
599C22⋊C4—944no—
600C22⋊C4—944no—
601C22⋊C4—944no—
602C22⋊C4—944no—
603C42—474no—
604C42—472no—
605C42—474no—
606C42—472no—
607C42—944no—
608C42—944no—
609C42—944no—
610C42D4×D4712yes—
611C42C23×D4712yes—
612C23—472no—
613C23—942no—
614C23—942no—
615C23—942no—
616C23—942no—
617C23—1882no—
618C23—1882no—
619C23—1882no—
620C23C2×D4×D4711yescharacteristic
621Q8—942no—
622Q8—942no—
623Q8—1888no—
624Q8—1888no—
625Q8—1882no—
626D4—942no—
627D4—942no—
628D4—1888no—
629D4—1882no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—474no—
641C2×C4—472no—
642C2×C4—472no—
643C2×C4—472no—
644C2×C4—948no—
645C2×C4—942no—
646C2×C4—942no—
647C2×C4—944no—
648C2×C4—942no—
649C2×C4—942no—
650C2×C4—942no—
651C2×C4—942no—
652C2×C4—942no—
653C2×C4—1884no—
654C2×C4—1888no—
655C2×C4—1882no—
656C2×C4—1882no—
657C2×C4—1882no—
658C2×C4C2×D4×D4712yes—
659C2×C4C2×D4×D4712yes—
660C2×C4C2×D4×D4711yescharacteristic
661C2×C4#1309407212yes—
662C2×C4#1309407212yes—
663C2×C4C24×D4711yescharacteristic
664C8—22no—
665C8—22no—
666C8—942no—
667C8—942no—
668C22—942no—
669C22—942no—
670C22—942no—
671C22—3764no—
672C22—1882no—
673C22—1882no—
674C22—1882no—
675C22—1884no—
676C22#1568969812yes—
677C22#135×D4712yes—
678C22#1568992012yes—
679C22C22×D4×D4711yescharacteristic
680C4—22no—
681C4—22no—
682C4—42no—
683C4—42no—
684C4—42no—
685C4—42no—
686C4—474no—
687C4—942no—
688C4—942no—
689C4—1882no—
690C4—1882no—
691C4—1882no—
692C4#1568969812yes—
693C4C2×#1309407211yescharacteristic
694C4C2×#1309407211yescharacteristic
695C2—3762no—
696C2—1882no—
697C2#2025456814yesdirect product factor
698C2C2×#1568969811yescharacteristic
699C2C2×#135×D4711yescharacteristic
700C2C2×#1568992011yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC2×C47×#499C2
socleC23×C47C22×D4
prime radicalC2×#13093999C22
hypercenterC2×#499D47
hypocenterC47C2×#3233
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#499

Complements

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

NH ≅ G/Ntype
1. C2×#15689679C2semidirect
3. #20254568C2direct (N × H)
4. C2×#15689522C2semidirect
5. C2×#15689480C2semidirect
6. C2×#15689478C2semidirect
7. C2×#15689467C2semidirect
8. C2×#15689466C2semidirect
11. C2×#15689417C2semidirect
12. C2×#15689407C2semidirect
13. C2×#15689412C2semidirect
14. C2×#15689402C2semidirect
15. C2×#15689174C2semidirect
16. C2×C47×#499C2semidirect
18. #15689679C22semidirect
40. #15689522C22semidirect
41. #15689480C22semidirect
42. #15689478C22semidirect
43. #15689467C22semidirect
44. #15689466C22semidirect
47. #15689417C22semidirect
48. #15689412C22semidirect
49. #15689407C22semidirect
50. #15689402C22semidirect
51. #15689174C22semidirect
71. C47×#499C22semidirect
349. C2×#499D47semidirect
361. C2×C47#3233semidirect
393. #499C2×D47semidirect
427. C47C2×#3233semidirect
697. C2#20254568direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156896792
C2×#156896582
#202545682
C2×#156895222
C2×#156894802
C2×#156894782
C2×#156894672
C2×#156894662
C2×#156894502
C2×#156894492
C2×#156894172
C2×#156894072
C2×#156894122
C2×#156894022
C2×#156891742
C2×C47×#4992
C2×#323347