Finite Group Databasebeta

← C2×#19147506 #25977087

Subgroups — C2×#19147506 #25977087

Order 11008.

1854 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×Q8×Dic86C211yesmaximal, characteristic, complemented
2C2×#14583608C211yesmaximal, characteristic
3#19147506C2116yesmaximal, direct product factor
4C2×#14583308C211yesmaximal, characteristic, complemented
5C2×#14583307C211yesmaximal, characteristic, complemented
6C2×#14583303C211yesmaximal, characteristic, complemented
7C2×#14583206C211yesmaximal, characteristic, complemented
8C2×#14583204C211yesmaximal, characteristic, complemented
9C2×#14583192C211yesmaximal, characteristic, complemented
10C2×#14583187C211yesmaximal, characteristic
11C2×#14583179C211yesmaximal, characteristic
12C2×#14583177C211yesmaximal, characteristic
13C2×#14583027C211yesmaximal, characteristic, complemented
14C2×#14583000C211yesmaximal, characteristic
15C2×SD16×Dic43C211yesmaximal, characteristic
16C2×C43×#440C211yesmaximal, characteristic
17Q8×Dic86—24no—
18Q8×Dic86C2218yescomplemented
19#14583608—24no—
20#14583608C2218yes—
21C2×#13063325—21no—
22C2×#13063325C2211yescharacteristic
23C2×#13063324—21no—
24C2×#13063324—21no—
25C2×#13063324C2211yescharacteristic
26C2×#13063324C2211yescharacteristic
27C2×#13063324C2211yescharacteristic
28C2×#13063317C2211yescharacteristic
29C2×#13063316C2211yescharacteristic
30C2×#13063304—21no—
31C2×#13063302—21no—
32C2×#13063302—21no—
33C2×Q8×Dic43C2211yescharacteristic
34C2×Q8×Dic43C2211yescharacteristic
35C2×C4×Dic86—21no—
36C2×C4×Dic86C2211yescharacteristic
37C2×D4×Dic43C2211yescharacteristic
38C2×D4×Dic43C2211yescharacteristic
39C22×Dic43⋊C4—21no—
40#14583308C2218yescomplemented
41#14583307C2218yescomplemented
42#14583303C2218yescomplemented
43#14583206C2218yescomplemented
44#14583204C2218yescomplemented
45#14583192C2218yescomplemented
46#14583187C2218yes—
47#14583179C2218yes—
48#14583177C2218yes—
49#14583027C2218yescomplemented
50#14583000C2218yes—
51SD16×Dic43C2218yes—
52C2×#13063259C2211yescharacteristic
53C2×#13063259C2211yescharacteristic
54C2×#13063258C2211yescharacteristic
55C2×#13063258C2211yescharacteristic
56C2×#13063258C2211yescharacteristic
57C2×#13063257C2211yescharacteristic
58C2×#13063257C2211yescharacteristic
59C2×#13063256C2211yescharacteristic
60C2×C4⋊(C43⋊C8)C2211yescharacteristic
61C2×Dic43⋊C8C2211yescharacteristic
62C2×Dic43⋊C8C2211yescharacteristic
63C2×#13063249C2211yescharacteristic
64C2×#13063249C2211yescharacteristic
65C2×#13063246C2211yescharacteristic
66C2×#13063246C2211yescharacteristic
67C2×#13063235C2211yescharacteristic
68C2×C8×Dic43C2211yescharacteristic
69C22×SD16×C43C2211yescharacteristic
70C2×C4×Q8×C43C2211yescharacteristic
71C2×C4×D4×C43C2211yescharacteristic
72C43×#440C2218yes—
73C2×#107×C43C2211yescharacteristic
74C2×#103×C43C2211yescharacteristic
75C2×#102×C43C2211yescharacteristic
76C2×#97×C43C2211yescharacteristic
77C22×Dic86—21no—
78C22×Dic86—21no—
79C22×Dic86—21no—
80C22×Dic86—21no—
81C22×Dic86D411yescharacteristic
82C23×Dic43—21no—
83C23×Dic43—21no—
84C22×C43⋊C8C2311yescharacteristic
85C22×C43⋊C8C2311yescharacteristic
86#13063325—22no—
87#13063325—28no—
88#13063325C2314yes—
89#13063324—28no—
90#13063324—28no—
91#13063324—22no—
92#13063324—22no—
93#13063324—22no—
94#13063324C2314yes—
95#13063324C2314yes—
96#13063324C2314yes—
97#13063317—22no—
98#13063317C2314yes—
99#13063316—22no—
100#13063316C2314yes—
101#13063304—28no—
102#13063302—28no—
103#13063302—28no—
104Q8×Dic43—22no—
105Q8×Dic43—22no—
106Q8×Dic43C2314yes—
107Q8×Dic43C2314yes—
108C4×Dic86—28no—
109C4×Dic86D414yes—
110C4×Dic86C2314yes—
111D4×Dic43—22no—
112D4×Dic43—22no—
113D4×Dic43C2314yes—
114D4×Dic43C2314yes—
115C2×C4⋊Dic43—21no—
116C2×C4⋊Dic43—21no—
117C2×C4⋊Dic43—21no—
118C2×C4⋊Dic43—21no—
119C2×C4⋊Dic43D411yescharacteristic
120C2×C4⋊Dic43C2311yescharacteristic
121C2×C4⋊Dic43C2311yescharacteristic
122C2×C4⋊Dic43C2311yescharacteristic
123C2×C4⋊Dic43C2311yescharacteristic
124C2×Dic43⋊C4—21no—
125C2×Dic43⋊C4—21no—
126C2×Dic43⋊C4—21no—
127C2×Dic43⋊C4—21no—
128C2×Dic43⋊C4—21no—
129C2×Dic43⋊C4—21no—
130C2×Dic43⋊C4—28no—
131C2×Dic43⋊C4D411yescharacteristic
132C2×Dic43⋊C4D411yescharacteristic
133C2×C22⋊Dic43—21no—
134C2×C22⋊Dic43—21no—
135C2×C4×Dic43—21no—
136C2×C4×Dic43—21no—
137C2×C4×Dic43C2311yescharacteristic
138C2×C4×Dic43C2311yescharacteristic
139#13063259C2314yes—
140#13063259C2314yes—
141#13063258C2314yes—
142#13063258C2314yes—
143#13063258C2314yes—
144#13063257C2314yes—
145#13063257C2314yes—
146#13063256C2314yes—
147C4⋊(C43⋊C8)C2314yes—
148Dic43⋊C8C2314yes—
149Dic43⋊C8C2314yes—
150#13063249C2314yes—
151#13063249C2314yes—
152#13063246C2314yes—
153#13063246C2314yes—
154#13063235C2314yes—
155C8×Dic43C2314yes—
156C22×Q8×C43C2311yescharacteristic
157C22×D4×C43C2311yescharacteristic
158C23×C4×C43—21no—
159C2×SD16×C43Q818yescomplemented
160C2×SD16×C43C2314yes—
161C22×C8×C43C2311yescharacteristic
162C22×C8×C43C2311yescharacteristic
163C4×Q8×C43—22no—
164C4×Q8×C43C2314yes—
165C4×D4×C43—22no—
166C4×D4×C43C2314yes—
167C2×C4⋊C4×C43—21no—
168C2×C4⋊C4×C43C2311yescharacteristic
169C2×C4⋊C4×C43C2311yescharacteristic
170C2×C22⋊C4×C43—21no—
171C2×C42×C43—21no—
172C2×C42×C43C2311yescharacteristic
173#107×C43C2314yes—
174#103×C43C2314yes—
175#102×C43C2314yes—
176#97×C43C2314yes—
177C24×C43—21no—
178C2×Q8×C43—21no—
179C2×Q8×C43—22no—
180C2×Q8×C43C2×Q814yes—
181C2×Q8×C43C2412yes—
182C2×D4×C43—21no—
183C2×D4×C43—22no—
184C2×D4×C43C2×Q814yes—
185C2×D4×C43C2412yes—
186C22×C4×C43—24no—
187C22×C4×C43—21no—
188C22×C4×C43—21no—
189C22×C4×C43—21no—
190C22×C4×C43—82no—
191C22×C4×C43C2×D411yescharacteristic
192C22×C4×C43C2×D411yescharacteristic
193C22×C4×C43C2411yescharacteristic
194C22×Dic43—24no—
195C22×Dic43—24no—
196C22×Dic43—21no—
197C22×Dic43—21no—
198C22×Dic43—21no—
199C22×Dic43—21no—
200C22×Dic43—44no—
201C22×Dic43—82no—
202C22×Dic43C2×D411yescharacteristic
203C22×Dic43C2×D411yescharacteristic
204C22×Dic43C2×D411yescharacteristic
205C22×Dic43C2×D411yescharacteristic
206C2×Dic86—24no—
207C2×Dic86—24no—
208C2×Dic86—24no—
209C2×Dic86—24no—
210C2×Dic86—24no—
211C2×Dic86—82no—
212C2×Dic86—82no—
213C2×Dic86—82no—
214C2×Dic86—82no—
215C2×Dic86C2×D414yes—
216SD16×C43C2×Q8116yescomplemented
217C2×C8×C43—22no—
218C2×C8×C43C2×Q814yes—
219C2×C8×C43C2412yes—
220C2×C8×C43C2412yes—
221C4⋊C4×C43—24no—
222C4⋊C4×C43—21no—
223C4⋊C4×C43—21no—
224C4⋊C4×C43C2412yes—
225C4⋊C4×C43C2412yes—
226C22⋊C4×C43—24no—
227C42×C43—24no—
228C42×C43C2×D412yes—
229C42×C43C2412yes—
230C22⋊Dic43—24no—
231C22⋊Dic43—24no—
232C4⋊Dic43—24no—
233C4⋊Dic43—21no—
234C4⋊Dic43—21no—
235C4⋊Dic43—21no—
236C4⋊Dic43—21no—
237C4⋊Dic43—24no—
238C4⋊Dic43—24no—
239C4⋊Dic43—24no—
240C4⋊Dic43C2×D414yes—
241C4⋊Dic43C2412yes—
242C4⋊Dic43C2412yes—
243C4⋊Dic43C2412yes—
244C4⋊Dic43C2412yes—
245Dic43⋊C4—24no—
246Dic43⋊C4—24no—
247Dic43⋊C4—24no—
248Dic43⋊C4—24no—
249Dic43⋊C4—24no—
250Dic43⋊C4—24no—
251Dic43⋊C4C2×D414yes—
252Dic43⋊C4C2×D414yes—
253C4×Dic43—24no—
254C4×Dic43—24no—
255C4×Dic43C2×D412yes—
256C4×Dic43C2×D412yes—
257C4×Dic43C2412yes—
258C4×Dic43C2412yes—
259C2×C43⋊C8—22no—
260C2×C43⋊C8—22no—
261C2×C43⋊C8C2412yes—
262C2×C43⋊C8C2412yes—
263C23×C43—24no—
264C23×C43—22no—
265C23×C43—42no—
266C23×C43—42no—
267C23×C43C22×D411yescharacteristic
268Q8×C43—24no—
269Q8×C43—22no—
270Q8×C43C22×Q814yes—
271D4×C43—24no—
272D4×C43—22no—
273D4×C43C22×Q814yes—
274C2×C4×C43—24no—
275C2×C4×C43—22no—
276C2×C4×C43—22no—
277C2×C4×C43—22no—
278C2×C4×C43—22no—
279C2×C4×C43—22no—
280C2×C4×C43—42no—
281C2×C4×C43—42no—
282C2×C4×C43—84no—
283C2×C4×C43C22×D412yes—
284C2×C4×C43C22×D412yes—
285C2×C4×C43C22×D411yescharacteristic
286C2×C4×C43C22×Q812yes—
287C2×C4×C432−1+412yes—
288C2×C4×C43C2511yescharacteristic
289C2×Dic43—22no—
290C2×Dic43—22no—
291C2×Dic43—22no—
292C2×Dic43—22no—
293C2×Dic43—22no—
294C2×Dic43—22no—
295C2×Dic43—22no—
296C2×Dic43—42no—
297C2×Dic43—42no—
298C2×Dic43—42no—
299C2×Dic43—42no—
300C2×Dic43—48no—
301C2×Dic43—84no—
302C2×Dic43#13714yes—
303C2×Dic43C22×D412yes—
304C2×Dic43C22×D412yes—
305C2×Dic43C22×D412yes—
306C2×Dic43C22×D412yes—
307Dic86—28no—
308Dic86—84no—
309Dic86—84no—
310Dic86—84no—
311Dic86—84no—
312C8×C43—22no—
313C8×C43C22×Q814yes—
314C43⋊C8—22no—
315C43⋊C8—22no—
316C2×#3385—431nomaximal, Sylow
317C22×C43—24no—
318C22×C43—48no—
319C22×C43—42no—
320C22×C43—42no—
321C22×C43D4×Q812yes—
322C22×C43C2×#13712yes—
323C22×C43#57612yes—
324C22×C43C23×D411yescharacteristic
325C4×C43—24no—
326C4×C43—22no—
327C4×C43—22no—
328C4×C43—42no—
329C4×C43—42no—
330C4×C43D4×Q812yes—
331C4×C43C23×Q811yescharacteristic
332C4×C43C2×2−1+411yescharacteristic
333Dic43—22no—
334Dic43—22no—
335Dic43—22no—
336Dic43—42no—
337Dic43—42no—
338Dic43—42no—
339Dic43—42no—
340Dic43C2×#13714yes—
341C2×Q82—431no—
342C2×#554—431no—
343#3385—4316no—
344C2×#501—431no—
345C2×#501—431no—
346C2×#500—431no—
347C2×#479—431no—
348C2×#479—431no—
349C2×#477—431no—
350C2×#476—431no—
351C2×#474—431no—
352C2×#474—431no—
353C2×#446—431no—
354C2×#440—431no—
355C2×#440D4311yescharacteristic
356C2×C4×SD16—431no—
357C2×C43—44no—
358C2×C43#338514yescomplemented
359C2×C43C2×D4×Q811yescharacteristic
360C2×C43C22×#13711yescharacteristic
361C2×C43C2×#57611yescharacteristic
362C22×SD16C2×D4311yescharacteristic
363Q82—438no—
364Q82—864no—
365#554—438no—
366#554—864no—
367C2×C4⋊Q8—431no—
368C2×C4⋊Q8—431no—
369C2×C4⋊Q8—431no—
370C2×C4⋊Q8—431no—
371C2×C4⋊Q8—861no—
372C2×C4⋊Q8—861no—
373C2×C4⋊Q8—861no—
374C2×#125—431no—
375C2×#125—431no—
376C2×C22⋊Q8—861no—
377C2×C22⋊Q8—861no—
378C2×C22⋊Q8—861no—
379C2×C4×Q8—431no—
380C2×C4×Q8—431no—
381C2×C4×Q8—431no—
382C2×C4×Q8—861no—
383C2×C4×Q8C2×D4311yescharacteristic
384C2×C4×D4—431no—
385C2×C4×D4—431no—
386C2×C4×D4C2×D4311yescharacteristic
387C22×C4⋊C4—861no—
388#501—438no—
389#501—438no—
390#500—438no—
391#479—438no—
392#479—438no—
393#477—438no—
394#476—438no—
395#474—438no—
396#474—438no—
397#446—438no—
398#440—438no—
399#440C2×D4318yes—
400C4×SD16—438no—
401C2×#107—431no—
402C2×#107—431no—
403C2×#107—431no—
404C2×#107—431no—
405C2×#107—431no—
406C2×#107C2×D4311yescharacteristic
407C2×#106—431no—
408C2×#106—431no—
409C2×#106—431no—
410C2×C4⋊C8—431no—
411C2×C4⋊C8—431no—
412C2×C4⋊C8—431no—
413C2×#103—431no—
414C2×#103—431no—
415C2×#103C2×D4311yescharacteristic
416C2×#102—431no—
417C2×#102—431no—
418C2×#102C2×D4311yescharacteristic
419C2×#97—431no—
420C2×#97C2×D4311yescharacteristic
421C2×C4×C8—431no—
422C43C2×#338511yescharacteristic, complemented, Sylow
423C22×Q8—431no—
424C22×Q8—861no—
425C22×Q8—861no—
426C22×Q8—861no—
427C22×Q8—861no—
428C22×Q8C22×D4311yescharacteristic
429C22×D4C22×D4311yescharacteristic
430C23×C4—21no—
431C23×C4—861no—
432C23×C4—861no—
433C2×SD16Dic8618yescomplemented
434C2×SD16C22×D4314yes—
435C22×C8—431no—
436C22×C8—431no—
437C22×C8C22×D4311yescharacteristic
438C22×C8C22×D4311yescharacteristic
439C4⋊Q8—434no—
440C4⋊Q8—434no—
441C4⋊Q8—434no—
442C4⋊Q8—434no—
443C4⋊Q8—868no—
444C4⋊Q8—862no—
445C4⋊Q8—862no—
446C4⋊Q8—862no—
447C4⋊Q8—868no—
448C4⋊Q8—868no—
449C4⋊Q8—862no—
450#125—434no—
451#125—434no—
452#125—862no—
453#125—862no—
454C22⋊Q8—868no—
455C22⋊Q8—868no—
456C22⋊Q8—868no—
457C4×Q8—22no—
458C4×Q8—434no—
459C4×Q8—434no—
460C4×Q8—434no—
461C4×Q8—434no—
462C4×Q8—868no—
463C4×Q8—862no—
464C4×Q8—862no—
465C4×Q8C22×D4314yes—
466C4×D4—22no—
467C4×D4—434no—
468C4×D4—434no—
469C4×D4—862no—
470C4×D4—862no—
471C4×D4C22×D4314yes—
472C2×C4⋊C4—21no—
473C2×C4⋊C4—431no—
474C2×C4⋊C4—431no—
475C2×C4⋊C4—431no—
476C2×C4⋊C4—431no—
477C2×C4⋊C4—431no—
478C2×C4⋊C4—431no—
479C2×C4⋊C4—431no—
480C2×C4⋊C4—868no—
481C2×C4⋊C4—861no—
482C2×C4⋊C4—861no—
483C2×C4⋊C4—861no—
484C2×C4⋊C4—861no—
485C2×C4⋊C4—861no—
486C2×C4⋊C4—861no—
487C2×C4⋊C4—861no—
488C2×C4⋊C4—861no—
489C2×C4⋊C4—861no—
490C2×C4⋊C4—861no—
491C2×C4⋊C4C22×D4311yescharacteristic
492C2×C4⋊C4C22×D4311yescharacteristic
493C2×C22⋊C4—21no—
494C2×C22⋊C4—861no—
495C2×C22⋊C4—861no—
496C2×C42—21no—
497C2×C42—431no—
498C2×C42—431no—
499C2×C42—861no—
500C2×C42—861no—
501C2×C42C22×D4311yescharacteristic
502#107—434no—
503#107—434no—
504#107—434no—
505#107—434no—
506#107—434no—
507#107C22×D4314yes—
508#106—434no—
509#106—434no—
510#106—434no—
511C4⋊C8—434no—
512C4⋊C8—434no—
513C4⋊C8—434no—
514#103—434no—
515#103—434no—
516#103C22×D4314yes—
517#102—434no—
518#102—434no—
519#102C22×D4314yes—
520#97—434no—
521#97C22×D4314yes—
522C4×C8—434no—
523C24—21no—
524C2×Q8—21no—
525C2×Q8—22no—
526C2×Q8—434no—
527C2×Q8—864no—
528C2×Q8—864no—
529C2×Q8—864no—
530C2×Q8—864no—
531C2×Q8—864no—
532C2×Q8—3442no—
533C2×Q8—3442no—
534C2×Q8—3442no—
535C2×Q8—3442no—
536C2×Q8C2×Dic8614yes—
537C2×Q8C23×D4312yes—
538C2×D4—21no—
539C2×D4—22no—
540C2×D4C2×Dic8614yes—
541C2×D4C23×D4312yes—
542C22×C4—21no—
543C22×C4—21no—
544C22×C4—21no—
545C22×C4—24no—
546C22×C4—82no—
547C22×C4—431no—
548C22×C4—431no—
549C22×C4—431no—
550C22×C4—431no—
551C22×C4—864no—
552C22×C4—864no—
553C22×C4—861no—
554C22×C4—861no—
555C22×C4—861no—
556C22×C4—861no—
557C22×C4—3442no—
558C22×C4—1724no—
559C22×C4D4×D4311yescharacteristic
560C22×C4D4×D4311yescharacteristic
561C22×C4C23×D4311yescharacteristic
562SD16C2×Dic86116yescomplemented
563C2×C8—22no—
564C2×C8—432no—
565C2×C8—432no—
566C2×C8—862no—
567C2×C8—862no—
568C2×C8C2×Dic8614yes—
569C2×C8C23×D4312yes—
570C2×C8C23×D4312yes—
571C4⋊C4—24no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—434no—
575C4⋊C4—434no—
576C4⋊C4—434no—
577C4⋊C4—432no—
578C4⋊C4—432no—
579C4⋊C4—432no—
580C4⋊C4—432no—
581C4⋊C4—864no—
582C4⋊C4—864no—
583C4⋊C4—864no—
584C4⋊C4—864no—
585C4⋊C4—864no—
586C4⋊C4—864no—
587C4⋊C4—864no—
588C4⋊C4—861no—
589C4⋊C4—861no—
590C4⋊C4—861no—
591C4⋊C4—861no—
592C4⋊C4—864no—
593C4⋊C4—864no—
594C4⋊C4—864no—
595C4⋊C4C23×D4312yes—
596C4⋊C4C23×D4312yes—
597C22⋊C4—24no—
598C22⋊C4—864no—
599C22⋊C4—864no—
600C42—24no—
601C42—432no—
602C42—432no—
603C42—432no—
604C42—432no—
605C42—864no—
606C42—864no—
607C42D4×D4312yes—
608C42C23×D4312yes—
609C23—24no—
610C23—22no—
611C23—42no—
612C23—42no—
613C23C2×D4×D4311yescharacteristic
614Q8—24no—
615Q8—22no—
616Q8—868no—
617Q8—3444no—
618Q8—3444no—
619Q8—3444no—
620Q8—3444no—
621Q8C22×Dic8614yes—
622D4—24no—
623D4—22no—
624D4C22×Dic8614yes—
625C2×C4—24no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—84no—
634C2×C4—434no—
635C2×C4—432no—
636C2×C4—432no—
637C2×C4—432no—
638C2×C4—432no—
639C2×C4—862no—
640C2×C4—862no—
641C2×C4—862no—
642C2×C4—862no—
643C2×C4—862no—
644C2×C4—862no—
645C2×C4—862no—
646C2×C4—3444no—
647C2×C4—1728no—
648C2×C4—1722no—
649C2×C4—1722no—
650C2×C4—1722no—
651C2×C4—1722no—
652C2×C4C2×D4×D4312yes—
653C2×C4C2×D4×D4312yes—
654C2×C4C2×D4×D4311yescharacteristic
655C2×C4C22×Dic8612yes—
656C2×C4#1306337212yes—
657C2×C4C24×D4311yescharacteristic
658C8—22no—
659C8—862no—
660C8—862no—
661C8C22×Dic8614yes—
662C22—24no—
663C22—42no—
664C22—42no—
665C22—48no—
666C22D4×Dic8612yes—
667C22#137×D4312yes—
668C22#1458370312yes—
669C22C22×D4×D4311yescharacteristic
670C4—22no—
671C4—22no—
672C4—24no—
673C4—42no—
674C4—42no—
675C4—434no—
676C4—862no—
677C4—862no—
678C4—862no—
679C4—1722no—
680C4—1722no—
681C4—1722no—
682C4—1722no—
683C4D4×Dic8612yes—
684C4C23×Dic8611yescharacteristic
685C4C2×#1306337211yescharacteristic
686C2—44no—
687C2#1914750614yesdirect product factor
688C2C2×D4×Dic8611yescharacteristic
689C2C2×#137×D4311yescharacteristic
690C2C2×#1458370311yescharacteristic
subgroupG/H
centerC23C2×D4×D43
commutator, cosocleC2×C4×C43C25
FrattiniC2×C4C24×D43
FittingC2×C43×#440C2
socleC23×C43C22×D4
prime radicalC22×D4×C43C23
hypercenterC2×#440D43
hypocenterC43C2×#3385
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#440

Complements

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

NH ≅ G/Ntype
1. C2×Q8×Dic86C2semidirect
3. #19147506C2direct (N × H)
4. C2×#14583308C2semidirect
5. C2×#14583307C2semidirect
6. C2×#14583303C2semidirect
7. C2×#14583206C2semidirect
8. C2×#14583204C2semidirect
9. C2×#14583192C2semidirect
13. C2×#14583027C2semidirect
18. Q8×Dic86C22semidirect
40. #14583308C22semidirect
41. #14583307C22semidirect
42. #14583303C22semidirect
43. #14583206C22semidirect
44. #14583204C22semidirect
45. #14583192C22semidirect
49. #14583027C22semidirect
159. C2×SD16×C43Q8semidirect
216. SD16×C43C2×Q8semidirect
358. C2×C43#3385semidirect
422. C43C2×#3385semidirect
433. C2×SD16Dic86semidirect
562. SD16C2×Dic86semidirect
687. C2#19147506direct (N × H)

Maximal subgroups

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

subgroupindex
C2×Q8×Dic862
C2×#145836082
#191475062
C2×#145833082
C2×#145833072
C2×#145833032
C2×#145832062
C2×#145832042
C2×#145831922
C2×#145831872
C2×#145831792
C2×#145831772
C2×#145830272
C2×#145830002
C2×SD16×Dic432
C2×C43×#4402
C2×#338543