Finite Group Databasebeta

← C2×#20256070 #27095887

Subgroups — C2×#20256070 #27095887

Order 12032.

1830 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#15689850C211yesmaximal, characteristic, complemented
2C2×#15689842C211yesmaximal, characteristic
3#20256070C2116yesmaximal, direct product factor
4C2×#15689476C211yesmaximal, characteristic
5C2×#15689472C211yesmaximal, characteristic, complemented
6C2×#15689432C211yesmaximal, characteristic, complemented
7C2×#15689427C211yesmaximal, characteristic, complemented
8C2×#15689401C211yesmaximal, characteristic
9C2×#15689344C211yesmaximal, characteristic
10C2×#15689342C211yesmaximal, characteristic
11C2×#15689332C211yesmaximal, characteristic, complemented
12C2×C8×Dic94C211yesmaximal, characteristic, complemented
13C2×C4×Dic188C211yesmaximal, characteristic, complemented
14C2×#15689215C211yesmaximal, characteristic, complemented
15C2×#15689214C211yesmaximal, characteristic
16C2×C47×#488C211yesmaximal, characteristic
17C22×Dic188C2211yescharacteristic
18C22×#10625337C2211yescharacteristic
19C22×#10625335C2211yescharacteristic
20#15689850—24no—
21#15689850C2218yescomplemented
22#15689842—24no—
23#15689842C2218yes—
24C2×#13094023—21no—
25C2×#13094023C2211yescharacteristic
26C2×#13094022C2211yescharacteristic
27C2×#13094017—21no—
28C2×#13094017—21no—
29C2×#13094015C2211yescharacteristic
30C2×#13094014—21no—
31C2×#13094014—21no—
32C2×#13094011C2211yescharacteristic
33C2×#13094001—21no—
34C2×Q8×Dic47C2211yescharacteristic
35C2×C4×Dic94C2211yescharacteristic
36C2×C4×Dic94C2211yescharacteristic
37C2×C4×Dic94C2211yescharacteristic
38C2×#13093989—21no—
39C2×#13093989C2211yescharacteristic
40C2×#13093989C2211yescharacteristic
41C2×D4×Dic47C2211yescharacteristic
42C2×#13093980—21no—
43#15689476C2218yes—
44#15689472C2218yescomplemented
45#15689432C2218yescomplemented
46#15689427C2218yescomplemented
47#15689401C2218yes—
48#15689344C2218yes—
49#15689342C2218yes—
50#15689332C2218yescomplemented
51C8×Dic94C2218yescomplemented
52C4×Dic188C2218yescomplemented
53#15689215C2218yescomplemented
54#15689214C2218yes—
55C2×#13093958C2211yescharacteristic
56C2×#13093957C2211yescharacteristic
57C2×#13093955C2211yescharacteristic
58C2×C4⋊(C47⋊C8)C2211yescharacteristic
59C2×Dic47⋊C8C2211yescharacteristic
60C2×Dic47⋊C8C2211yescharacteristic
61C2×#13093949C2211yescharacteristic
62C2×#13093949C2211yescharacteristic
63C2×#13093948C2211yescharacteristic
64C2×#13093947C2211yescharacteristic
65C2×#13093947C2211yescharacteristic
66C2×#13093945C2211yescharacteristic
67C2×C8×Dic47C2211yescharacteristic
68C2×C8×Dic47C2211yescharacteristic
69C2×#125×C47C2211yescharacteristic
70C2×#124×C47C2211yescharacteristic
71C47×#488C2218yes—
72C2×#103×C47C2211yescharacteristic
73C2×#103×C47C2211yescharacteristic
74C2×#102×C47C2211yescharacteristic
75C2×#102×C47C2211yescharacteristic
76C2×C4×C8×C47C2211yescharacteristic
77C22×Dic94—21no—
78C22×Dic94D411yescharacteristic
79C22×Dic94C2311yescharacteristic
80C22×Dic94C2311yescharacteristic
81C23×Dic47—21no—
82C2×Dic188—24no—
83C2×Dic188C2314yes—
84C2×#10625337—24no—
85C2×#10625337C2314yes—
86C2×#10625335—24no—
87C2×#10625335C2314yes—
88C22×C47⋊C8C2311yescharacteristic
89C22×C47⋊C8C2311yescharacteristic
90#13094023—28no—
91#13094023—22no—
92#13094023C2314yes—
93#13094022—22no—
94#13094022C2314yes—
95#13094017—28no—
96#13094017—28no—
97#13094015—22no—
98#13094015C2314yes—
99#13094014—28no—
100#13094014—28no—
101#13094011—22no—
102#13094011C2314yes—
103#13094001—28no—
104Q8×Dic47—22no—
105Q8×Dic47C2314yes—
106C4×Dic94—22no—
107C4×Dic94—22no—
108C4×Dic94D414yes—
109C4×Dic94C2314yes—
110C4×Dic94C2314yes—
111C4×Dic94C2314yes—
112#13093989—28no—
113#13093989—22no—
114#13093989—22no—
115#13093989C2314yes—
116#13093989C2314yes—
117D4×Dic47—22no—
118D4×Dic47C2314yes—
119#13093980—28no—
120C2×C4⋊Dic47—21no—
121C2×C4⋊Dic47—21no—
122C2×C4⋊Dic47D411yescharacteristic
123C2×C4⋊Dic47C2311yescharacteristic
124C2×C4⋊Dic47C2311yescharacteristic
125C2×Dic47⋊C4—21no—
126C2×Dic47⋊C4—21no—
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×Dic47⋊C4D411yescharacteristic
134C2×Dic47⋊C4D411yescharacteristic
135C2×C22⋊Dic47—21no—
136C2×C22⋊Dic47—21no—
137C2×C22⋊Dic47—21no—
138C2×C4×Dic47—21no—
139C2×C4×Dic47—21no—
140C2×C4×Dic47—21no—
141C2×C4×Dic47—21no—
142C2×C4×Dic47—21no—
143C2×C4×Dic47C2311yescharacteristic
144C2×C4×Dic47C2311yescharacteristic
145#13093958C2314yes—
146#13093957C2314yes—
147#13093955C2314yes—
148C4⋊(C47⋊C8)C2314yes—
149Dic47⋊C8C2314yes—
150Dic47⋊C8C2314yes—
151#13093949C2314yes—
152#13093949C2314yes—
153#13093948C2314yes—
154#13093947C2314yes—
155#13093947C2314yes—
156#13093945C2314yes—
157C8×Dic47C2314yes—
158C8×Dic47C2314yes—
159C22×Q8×C47C2311yescharacteristic
160C22×D4×C47C2311yescharacteristic
161C22×C8×C47C2311yescharacteristic
162C22×C8×C47C2311yescharacteristic
163#125×C47—22no—
164#125×C47C2314yes—
165#124×C47—22no—
166#124×C47C2314yes—
167C2×C4⋊C4×C47—21no—
168C2×C4⋊C4×C47—21no—
169C2×C4⋊C4×C47C2311yescharacteristic
170C2×C4⋊C4×C47C2311yescharacteristic
171C2×C22⋊C4×C47—21no—
172C2×C22⋊C4×C47—21no—
173C2×C42×C47C2311yescharacteristic
174#103×C47C2314yes—
175#103×C47C2314yes—
176#102×C47C2314yes—
177#102×C47C2314yes—
178C4×C8×C47C2314yes—
179C24×C47—21no—
180C2×Q8×C47—21no—
181C2×Q8×C47—22no—
182C2×Q8×C47—22no—
183C2×Q8×C47C2412yes—
184C2×D4×C47—21no—
185C2×D4×C47—22no—
186C2×D4×C47—22no—
187C2×D4×C47C2412yes—
188C22×C4×C47—21no—
189C22×C4×C47—21no—
190C22×C4×C47—21no—
191C22×C4×C47C2×D411yescharacteristic
192C22×C4×C47C2×D411yescharacteristic
193C22×C4×C47C2411yescharacteristic
194C22×Dic47—21no—
195C22×Dic47—21no—
196C22×Dic47—21no—
197C22×Dic47—21no—
198C22×Dic47—24no—
199C22×Dic47—44no—
200C22×Dic47C2×D411yescharacteristic
201C22×Dic47C2×D411yescharacteristic
202C22×Dic47C2×D411yescharacteristic
203C22×Dic47C2×D411yescharacteristic
204C2×Dic94—21no—
205C2×Dic94—22no—
206C2×Dic94—24no—
207C2×Dic94—22no—
208C2×Dic94—22no—
209C2×Dic94—21no—
210C2×Dic94—24no—
211C2×Dic94—44no—
212C2×Dic94C2×D414yes—
213C2×Dic94#4114yes—
214C2×Dic94C2412yes—
215C2×Dic94C2412yes—
216C2×C8×C47—22no—
217C2×C8×C47—22no—
218C2×C8×C47C2412yes—
219C2×C8×C47C2412yes—
220C4⋊C4×C47—24no—
221C4⋊C4×C47—24no—
222C4⋊C4×C47—21no—
223C4⋊C4×C47—21no—
224C4⋊C4×C47C2412yes—
225C4⋊C4×C47C2412yes—
226C22⋊C4×C47—24no—
227C22⋊C4×C47—24no—
228C42×C47C2×D412yes—
229C42×C47C2412yes—
230C22⋊Dic47—24no—
231C22⋊Dic47—24no—
232C22⋊Dic47—24no—
233#10625337—28no—
234#10625335—28no—
235C4⋊Dic47—21no—
236C4⋊Dic47—21no—
237C4⋊Dic47—24no—
238C4⋊Dic47—24no—
239C4⋊Dic47C2×D414yes—
240C4⋊Dic47C2412yes—
241C4⋊Dic47C2412yes—
242Dic47⋊C4—24no—
243Dic47⋊C4—24no—
244Dic47⋊C4—24no—
245Dic47⋊C4—24no—
246Dic47⋊C4—24no—
247Dic47⋊C4—24no—
248Dic47⋊C4—24no—
249Dic47⋊C4—24no—
250Dic47⋊C4C2×D414yes—
251Dic47⋊C4C2×D414yes—
252C4×Dic47—24no—
253C4×Dic47—24no—
254C4×Dic47—24no—
255C4×Dic47—24no—
256C4×Dic47—24no—
257C4×Dic47C2×D412yes—
258C4×Dic47C2×D412yes—
259C4×Dic47C2412yes—
260C4×Dic47C2412yes—
261C2×C47⋊C8—22no—
262C2×C47⋊C8—22no—
263C2×C47⋊C8C2412yes—
264C2×C47⋊C8C2412yes—
265Dic188—28no—
266C23×C47—22no—
267C23×C47—42no—
268C23×C47—42no—
269C23×C47—42no—
270C23×C47C22×D411yescharacteristic
271Q8×C47—22no—
272Q8×C47—22no—
273Q8×C47—42no—
274D4×C47—22no—
275D4×C47—22no—
276D4×C47—42no—
277C2×C4×C47—22no—
278C2×C4×C47—22no—
279C2×C4×C47—22no—
280C2×C4×C47—22no—
281C2×C4×C47—22no—
282C2×C4×C47—42no—
283C2×C4×C47—42no—
284C2×C4×C47—42no—
285C2×C4×C47C22×D412yes—
286C2×C4×C47C22×D412yes—
287C2×C4×C47C22×D411yescharacteristic
288C2×C4×C47C2×#4112yes—
289C2×C4×C472−1+412yes—
290C2×C4×C47C2511yescharacteristic
291C2×Dic47—24no—
292C2×Dic47—22no—
293C2×Dic47—22no—
294C2×Dic47—22no—
295C2×Dic47—22no—
296C2×Dic47—22no—
297C2×Dic47—22no—
298C2×Dic47—22no—
299C2×Dic47—42no—
300C2×Dic47—42no—
301C2×Dic47—42no—
302C2×Dic47—48no—
303C2×Dic47#13514yes—
304C2×Dic47C22×D412yes—
305C2×Dic47C22×D412yes—
306C2×Dic47C22×D412yes—
307C2×Dic47C22×D412yes—
308Dic94—24no—
309Dic94—22no—
310Dic94—28no—
311Dic94—22no—
312Dic94—22no—
313Dic94—42no—
314Dic94—48no—
315Dic94C2×#4114yes—
316C8×C47—22no—
317C8×C47—22no—
318C47⋊C8—22no—
319C47⋊C8—22no—
320C2×#3364—471nomaximal, Sylow
321C22×C47—42no—
322C22×C47—42no—
323C22×C47—42no—
324C22×C47—84no—
325C22×C47#54812yes—
326C22×C47C2×#13512yes—
327C22×C47#57812yes—
328C22×C47C23×D411yescharacteristic
329C4×C47—22no—
330C4×C47—22no—
331C4×C47—42no—
332C4×C47—42no—
333C4×C47—42no—
334C4×C47#54812yes—
335C4×C47C22×#4111yescharacteristic
336C4×C47C2×2−1+411yescharacteristic
337Dic47—24no—
338Dic47—22no—
339Dic47—22no—
340Dic47—22no—
341Dic47—42no—
342Dic47—42no—
343Dic47—42no—
344Dic47C2×#13514yes—
345C2×#557—471no—
346C2×#556—471no—
347#3364—4716no—
348C2×#488—471no—
349C2×#488D4711yescharacteristic
350C2×#487—471no—
351C2×#479—471no—
352C2×#479—471no—
353C2×#474—471no—
354C2×#464—471no—
355C2×#464—471no—
356C2×#462—471no—
357C2×C8×Q8—471no—
358C2×C4×Q16—471no—
359C2×C4×Q16—471no—
360C2×C4×SD16—471no—
361C2×C47—82no—
362C2×C47#336414yescomplemented
363C2×C47C2×#54811yescharacteristic
364C2×C47C22×#13511yescharacteristic
365C2×C47C2×#57811yescharacteristic
366C22×Q16—471no—
367C22×Q16—471no—
368C22×SD16—471no—
369#557—478no—
370#557—944no—
371#556—478no—
372#556—944no—
373C2×C4⋊Q8—471no—
374C2×C4⋊Q8—471no—
375C2×C4⋊Q8—941no—
376C2×#126—941no—
377C2×#126—941no—
378C2×#125—471no—
379C2×#125—941no—
380C2×#125—941no—
381C2×#125C2×D4711yescharacteristic
382C2×#124—471no—
383C2×#124C2×D4711yescharacteristic
384C2×C22⋊Q8—941no—
385C2×C4×Q8—471no—
386C2×C4×Q8—471no—
387C2×C4×Q8—471no—
388C2×C4×Q8—471no—
389C2×C4×Q8—471no—
390C2×C4×Q8—471no—
391C2×C4×Q8—941no—
392C2×C4×D4—471no—
393C2×#117—941no—
394#488—478no—
395#488C2×D4718yes—
396#487—478no—
397#479—478no—
398#479—478no—
399#474—478no—
400#464—478no—
401#464—478no—
402#462—478no—
403C8×Q8—478no—
404C4×Q16—478no—
405C4×Q16—478no—
406C4×SD16—478no—
407C2×#107—471no—
408C2×#107—471no—
409C2×#106—471no—
410C2×C4⋊C8—471no—
411C2×C4⋊C8—471no—
412C2×C4⋊C8—471no—
413C2×#103—471no—
414C2×#103—471no—
415C2×#103—471no—
416C2×#103—471no—
417C2×#103—471no—
418C2×#103C2×D4711yescharacteristic
419C2×#103C2×D4711yescharacteristic
420C2×#102—471no—
421C2×#102C2×D4711yescharacteristic
422C2×#102C2×D4711yescharacteristic
423C2×C4×C8—471no—
424C2×C4×C8—471no—
425C2×C4×C8C2×D4711yescharacteristic
426C47C2×#336411yescharacteristic, complemented, Sylow
427C22×Q8—471no—
428C22×Q8—471no—
429C22×Q8—471no—
430C22×Q8—941no—
431C22×Q8C22×D4711yescharacteristic
432C22×D4C22×D4711yescharacteristic
433C23×C4—941no—
434C2×Q16—474no—
435C2×Q16—474no—
436C2×Q16—944no—
437C2×Q16—944no—
438C2×SD16—474no—
439C2×SD16—944no—
440C22×C8—471no—
441C22×C8—471no—
442C22×C8C22×D4711yescharacteristic
443C22×C8C22×D4711yescharacteristic
444C4⋊Q8—474no—
445C4⋊Q8—474no—
446C4⋊Q8—942no—
447C4⋊Q8—942no—
448C4⋊Q8—948no—
449#126—948no—
450#126—948no—
451#125—22no—
452#125—474no—
453#125—942no—
454#125—948no—
455#125—948no—
456#125C22×D4714yes—
457#124—22no—
458#124—474no—
459#124—942no—
460#124C22×D4714yes—
461C22⋊Q8—948no—
462C4×Q8—474no—
463C4×Q8—474no—
464C4×Q8—474no—
465C4×Q8—474no—
466C4×Q8—474no—
467C4×Q8—474no—
468C4×Q8—474no—
469C4×Q8—942no—
470C4×Q8—942no—
471C4×Q8—942no—
472C4×Q8—948no—
473C4×Q8—942no—
474C4×Q8—942no—
475C4×D4—474no—
476C4×D4—942no—
477#117—948no—
478C2×C4⋊C4—21no—
479C2×C4⋊C4—21no—
480C2×C4⋊C4—471no—
481C2×C4⋊C4—471no—
482C2×C4⋊C4—471no—
483C2×C4⋊C4—471no—
484C2×C4⋊C4—471no—
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⋊C4—941no—
492C2×C4⋊C4—941no—
493C2×C4⋊C4—941no—
494C2×C4⋊C4—941no—
495C2×C4⋊C4C22×D4711yescharacteristic
496C2×C4⋊C4C22×D4711yescharacteristic
497C2×C22⋊C4—21no—
498C2×C22⋊C4—21no—
499C2×C22⋊C4—941no—
500C2×C22⋊C4—941no—
501C2×C22⋊C4—941no—
502C2×C42—471no—
503C2×C42—471no—
504C2×C42—941no—
505C2×C42—941no—
506C2×C42—941no—
507C2×C42—941no—
508C2×C42—941no—
509C2×C42C22×D4711yescharacteristic
510#107—474no—
511#107—474no—
512#106—474no—
513C4⋊C8—474no—
514C4⋊C8—474no—
515C4⋊C8—474no—
516#103—474no—
517#103—474no—
518#103—474no—
519#103—474no—
520#103—474no—
521#103C22×D4714yes—
522#103C22×D4714yes—
523#102—474no—
524#102C22×D4714yes—
525#102C22×D4714yes—
526C4×C8—474no—
527C4×C8—474no—
528C4×C8C22×D4714yes—
529C24—21no—
530C2×Q8—21no—
531C2×Q8—22no—
532C2×Q8—22no—
533C2×Q8—474no—
534C2×Q8—474no—
535C2×Q8—472no—
536C2×Q8—472no—
537C2×Q8—944no—
538C2×Q8—944no—
539C2×Q8—941no—
540C2×Q8—941no—
541C2×Q8—942no—
542C2×Q8—942no—
543C2×Q8—942no—
544C2×Q8—1884no—
545C2×Q8C23×D4712yes—
546C2×D4—21no—
547C2×D4—22no—
548C2×D4—22no—
549C2×D4C23×D4712yes—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—471no—
554C22×C4—471no—
555C22×C4—471no—
556C22×C4—471no—
557C22×C4—944no—
558C22×C4—941no—
559C22×C4—941no—
560C22×C4—941no—
561C22×C4—941no—
562C22×C4—1884no—
563C22×C4D4×D4711yescharacteristic
564C22×C4D4×D4711yescharacteristic
565C22×C4C23×D4711yescharacteristic
566Q16—948no—
567Q16—948no—
568SD16—948no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—472no—
572C2×C8—472no—
573C2×C8—942no—
574C2×C8—942no—
575C2×C8C23×D4712yes—
576C2×C8C23×D4712yes—
577C4⋊C4—24no—
578C4⋊C4—24no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—474no—
582C4⋊C4—474no—
583C4⋊C4—474no—
584C4⋊C4—472no—
585C4⋊C4—472no—
586C4⋊C4—944no—
587C4⋊C4—944no—
588C4⋊C4—944no—
589C4⋊C4—944no—
590C4⋊C4—944no—
591C4⋊C4—944no—
592C4⋊C4—944no—
593C4⋊C4—944no—
594C4⋊C4—944no—
595C4⋊C4—944no—
596C4⋊C4—941no—
597C4⋊C4—941no—
598C4⋊C4C23×D4712yes—
599C4⋊C4C23×D4712yes—
600C22⋊C4—24no—
601C22⋊C4—24no—
602C22⋊C4—944no—
603C22⋊C4—944no—
604C22⋊C4—944no—
605C42—472no—
606C42—472no—
607C42—472no—
608C42—472no—
609C42—944no—
610C42—944no—
611C42—944no—
612C42—944no—
613C42—944no—
614C42D4×D4712yes—
615C42C23×D4712yes—
616C23—22no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23C2×D4×D4711yescharacteristic
621Q8—22no—
622Q8—22no—
623Q8—42no—
624Q8—474no—
625Q8—948no—
626Q8—944no—
627Q8—942no—
628Q8—942no—
629Q8—942no—
630Q8—1888no—
631Q8—1882no—
632D4—22no—
633D4—22no—
634D4—42no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—474no—
644C2×C4—472no—
645C2×C4—472no—
646C2×C4—472no—
647C2×C4—472no—
648C2×C4—944no—
649C2×C4—942no—
650C2×C4—942no—
651C2×C4—942no—
652C2×C4—942no—
653C2×C4—942no—
654C2×C4—942no—
655C2×C4—942no—
656C2×C4—1888no—
657C2×C4—1882no—
658C2×C4—1882no—
659C2×C4—1882no—
660C2×C4C2×D4×D4712yes—
661C2×C4C2×D4×D4712yes—
662C2×C4C2×D4×D4711yescharacteristic
663C2×C4#41×D4712yes—
664C2×C4#1309407112yes—
665C2×C4C24×D4711yescharacteristic
666C8—22no—
667C8—22no—
668C8—942no—
669C8—942no—
670C22—42no—
671C22—42no—
672C22—42no—
673C22—84no—
674C22#1568978112yes—
675C22#135×D4712yes—
676C22#1568993712yes—
677C22C22×D4×D4711yescharacteristic
678C4—22no—
679C4—22no—
680C4—42no—
681C4—42no—
682C4—42no—
683C4—474no—
684C4—942no—
685C4—944no—
686C4—942no—
687C4—942no—
688C4—1882no—
689C4—1882no—
690C4—1882no—
691C4#1568978112yes—
692C4C2×#41×D4711yescharacteristic
693C4C2×#1309407111yescharacteristic
694C2—82no—
695C2#2025607014yesdirect product factor
696C2C2×#1568978111yescharacteristic
697C2C2×#135×D4711yescharacteristic
698C2C2×#1568993711yescharacteristic
subgroupG/H
centerC23C2×D4×D47
commutator, cosocleC2×C4×C47C25
FrattiniC2×C4C24×D47
FittingC2×C47×#488C2
socleC23×C47C22×D4
prime radicalC22×D4×C47C23
hypercenterC2×#488D47
hypocenterC47C2×#3364
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#488

Complements

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

NH ≅ G/Ntype
1. C2×#15689850C2semidirect
3. #20256070C2direct (N × H)
5. C2×#15689472C2semidirect
6. C2×#15689432C2semidirect
7. C2×#15689427C2semidirect
11. C2×#15689332C2semidirect
12. C2×C8×Dic94C2semidirect
13. C2×C4×Dic188C2semidirect
14. C2×#15689215C2semidirect
21. #15689850C22semidirect
44. #15689472C22semidirect
45. #15689432C22semidirect
46. #15689427C22semidirect
50. #15689332C22semidirect
51. C8×Dic94C22semidirect
52. C4×Dic188C22semidirect
53. #15689215C22semidirect
362. C2×C47#3364semidirect
426. C47C2×#3364semidirect
695. C2#20256070direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156898502
C2×#156898422
#202560702
C2×#156894762
C2×#156894722
C2×#156894322
C2×#156894272
C2×#156894012
C2×#156893442
C2×#156893422
C2×#156893322
C2×C8×Dic942
C2×C4×Dic1882
C2×#156892152
C2×#156892142
C2×C47×#4882
C2×#336447