Finite Group Databasebeta

← C2×#81966 #11675685

Subgroups — C2×#81966 #11675685

Order 768.

2006 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5727C211yesmaximal, characteristic
2C2×#5685C211yesmaximal, characteristic, complemented
3C2×C3×#501C211yesmaximal, characteristic, complemented
4C2×#5091C211yesmaximal, characteristic, complemented
5C2×#5066C211yesmaximal, characteristic
6#81966C2116yesmaximal, direct product factor
7C2×#4875C211yesmaximal, characteristic, complemented
8C2×#4890C211yesmaximal, characteristic
9C2×#4874C211yesmaximal, characteristic, complemented
10C2×#4889C211yesmaximal, characteristic
11C2×#4854C211yesmaximal, characteristic, complemented
12C2×#4871C211yesmaximal, characteristic
13C2×#4856C211yesmaximal, characteristic, complemented
14C2×#4852C211yesmaximal, characteristic
15C2×#4710C211yesmaximal, characteristic
16C2×#4701C211yesmaximal, characteristic, complemented
17C2×#3386—31nomaximal, Sylow
18C22×D3×Q8—21no—
19C2×C3×C4⋊Q8C2211yescharacteristic
20C2×C3×#125C2211yescharacteristic
21C2×#946—21no—
22C22×#204C2211yescharacteristic
23#5727—24no—
24#5727C2218yes—
25#5685—24no—
26#5685C2218yescomplemented
27C2×#896—21no—
28C2×#896—21no—
29C2×#893C2211yescharacteristic
30C2×#893C2211yescharacteristic
31C2×#890C2211yescharacteristic
32C2×#889—21no—
33C2×#889—21no—
34C2×#888—21no—
35C2×#888C2211yescharacteristic
36C2×#888C2211yescharacteristic
37C2×#888C2211yescharacteristic
38C2×#887—21no—
39C2×#887C2211yescharacteristic
40C2×#887C2211yescharacteristic
41C2×C4×D12C2211yescharacteristic
42C2×C4×Dic6C2211yescharacteristic
43C2×C4×Dic6C2211yescharacteristic
44C3×#501C2218yescomplemented
45C2×C3×#107C2211yescharacteristic
46C2×C3×#107C2211yescharacteristic
47C2×C3×#106C2211yescharacteristic
48C2×C3×#106C2211yescharacteristic
49C2×C3×#97C2211yescharacteristic
50C2×#821C2211yescharacteristic
51C2×#818C2211yescharacteristic
52C2×#816C2211yescharacteristic
53C2×#815C2211yescharacteristic
54C2×Dic3⋊C8C2211yescharacteristic
55C2×Dic3⋊C8C2211yescharacteristic
56C2×C8×Dic3C2211yescharacteristic
57#5091C2218yescomplemented
58#5066C2218yes—
59C2×#810C2211yescharacteristic
60C2×#810C2211yescharacteristic
61C2×#809C2211yescharacteristic
62C2×#809C2211yescharacteristic
63C2×#808C2211yescharacteristic
64C2×#807C2211yescharacteristic
65C2×#807C2211yescharacteristic
66C2×#807C2211yescharacteristic
67C2×C4⋊(C3⋊C8)C2211yescharacteristic
68#4890C2218yes—
69#4889C2218yes—
70#4875C2218yescomplemented
71#4874C2218yescomplemented
72#4871C2218yes—
73#4856C2218yescomplemented
74#4854C2218yescomplemented
75#4852C2218yes—
76#4710C2218yes—
77#4701C2218yescomplemented
78C2×#557—31no—
79C2×D4×Q8—31no—
80#3386—316no—
81C2×#501—31no—
82C2×#501D311yescharacteristic, complemented
83C2×#500—31no—
84C2×#477—31no—
85C2×#477—31no—
86C2×#475—31no—
87C2×#478—31no—
88C2×#478—31no—
89C2×#474—31no—
90C2×#446—31no—
91C2×#440—31no—
92C2×#440—31no—
93C2×C4×SD16—31no—
94C22×C3×Q8—21no—
95C2×D3×Q8—28no—
96C2×D3×Q8—48no—
97C22×D12C2311yescharacteristic
98C22×C4×D3—21no—
99C22×C4×D3—21no—
100C22×C4×D3—21no—
101C22×Dic6—21no—
102C22×Dic6—21no—
103C22×Dic6—21no—
104C22×Dic6D411yescharacteristic
105C22×Dic6C2311yescharacteristic
106C22×C3×C8C2311yescharacteristic
107C22×C3×C8C2311yescharacteristic
108C3×C4⋊Q8—22no—
109C3×C4⋊Q8C2314yes—
110C3×#125—22no—
111C3×#125C2314yes—
112C2×C3×C4⋊C4—21no—
113C2×C3×C4⋊C4—21no—
114C2×C3×C4⋊C4—21no—
115C2×C3×C4⋊C4C2311yescharacteristic
116C2×C3×C4⋊C4C2311yescharacteristic
117C2×C3×C4⋊C4C2311yescharacteristic
118C2×C3×C4⋊C4C2311yescharacteristic
119C2×C3×C42C2311yescharacteristic
120#946—28no—
121C2×(C2×D3)⋊C4—21no—
122C2×(C2×D3)⋊C4—21no—
123C2×(C2×D3)⋊C4—21no—
124C2×C4⋊Dic3—21no—
125C2×C4⋊Dic3D411yescharacteristic
126C2×C4⋊Dic3C2311yescharacteristic
127C2×C4⋊Dic3C2311yescharacteristic
128C2×Dic3⋊C4—21no—
129C2×Dic3⋊C4—21no—
130C2×Dic3⋊C4—21no—
131C2×Dic3⋊C4—21no—
132C2×Dic3⋊C4—21no—
133C2×Dic3⋊C4—21no—
134C2×Dic3⋊C4—21no—
135C2×Dic3⋊C4D411yescharacteristic
136C2×Dic3⋊C4D411yescharacteristic
137C2×C4×Dic3—21no—
138C2×C4×Dic3—21no—
139C2×C4×Dic3—21no—
140C2×C4×Dic3C2311yescharacteristic
141C2×C4×Dic3C2311yescharacteristic
142C22×C3⋊C8C2311yescharacteristic
143C22×C3⋊C8C2311yescharacteristic
144C2×#204Q818yescomplemented
145C2×#204C2314yes—
146#896—28no—
147#896—28no—
148#893—22no—
149#893—22no—
150#893C2314yes—
151#893C2314yes—
152#890—22no—
153#890C2314yes—
154#889—28no—
155#889—28no—
156#888—28no—
157#888—22no—
158#888—22no—
159#888—22no—
160#888C2314yes—
161#888C2314yes—
162#888C2314yes—
163#887—28no—
164#887—22no—
165#887—22no—
166#887C2314yes—
167#887C2314yes—
168C4×D12—22no—
169C4×D12C2314yes—
170C4×Dic6—22no—
171C4×Dic6D414yes—
172C4×Dic6C2314yes—
173C4×Dic6C2314yes—
174C3×#107C2314yes—
175C3×#107C2314yes—
176C3×#106C2314yes—
177C3×#106C2314yes—
178C3×#97C2314yes—
179#821C2314yes—
180#818C2314yes—
181#816C2314yes—
182#815C2314yes—
183Dic3⋊C8C2314yes—
184Dic3⋊C8C2314yes—
185C8×Dic3C2314yes—
186#810C2314yes—
187#810C2314yes—
188#809C2314yes—
189#809C2314yes—
190#808C2314yes—
191#807C2314yes—
192#807C2314yes—
193#807C2314yes—
194C4⋊(C3⋊C8)C2314yes—
195C23×Q8—61no—
196C22×SD16—31no—
197#557—38no—
198#557—64no—
199D4×Q8—38no—
200D4×Q8—64no—
201C2×C4⋊Q8—31no—
202C2×C4⋊Q8—31no—
203C2×C4⋊Q8—31no—
204C2×C4⋊Q8—61no—
205C2×C4⋊Q8C2×D311yescharacteristic
206C2×#125—31no—
207C2×#125—61no—
208C2×#125—61no—
209C2×#125C2×D311yescharacteristic
210C2×C22⋊Q8—61no—
211C2×C22⋊Q8—61no—
212C2×C22⋊Q8—61no—
213C2×C4×Q8—31no—
214C2×C4×Q8—31no—
215C2×C4×Q8—31no—
216C2×C4×Q8—31no—
217C2×C4×Q8—61no—
218C2×C4×D4—31no—
219C2×C4×D4—31no—
220C2×C4×D4—31no—
221#501—38no—
222#501C2×D318yescomplemented
223#500—38no—
224#478—38no—
225#478—38no—
226#477—38no—
227#477—38no—
228#475—38no—
229#474—38no—
230#446—38no—
231#440—38no—
232#440—38no—
233C4×SD16—38no—
234C2×#107—31no—
235C2×#107—31no—
236C2×#107—31no—
237C2×#107—31no—
238C2×#107C2×D311yescharacteristic
239C2×#107C2×D311yescharacteristic
240C2×#106—31no—
241C2×#106C2×D311yescharacteristic
242C2×#106C2×D311yescharacteristic
243C2×C4⋊C8—31no—
244C2×C4⋊C8—31no—
245C2×C4⋊C8—31no—
246C2×#103—31no—
247C2×#103—31no—
248C2×#103—31no—
249C2×#102—31no—
250C2×#102—31no—
251C2×#102—31no—
252C2×#97—31no—
253C2×#97C2×D311yescharacteristic
254C2×C4×C8—31no—
255C23×D3—21no—
256C2×C3×Q8—24no—
257C2×C3×Q8—44no—
258C22×C3×C4—21no—
259C22×C3×C4—21no—
260C22×C3×C4—21no—
261C22×C3×C4—21no—
262C22×C3×C4C2×D411yescharacteristic
263C22×C3×C4C2×D411yescharacteristic
264C22×C3×C4C2411yescharacteristic
265C22×Dic3—21no—
266C22×Dic3—21no—
267C22×Dic3—21no—
268C22×Dic3C2×D411yescharacteristic
269C22×Dic3C2×D411yescharacteristic
270C22×Dic3C2×D411yescharacteristic
271C22×Dic3C2×D411yescharacteristic
272D3×Q8—432no—
273C2×D12—21no—
274C2×D12—22no—
275C2×D12C2×Q814yes—
276C2×D12C2412yes—
277C2×C4×D3—24no—
278C2×C4×D3—24no—
279C2×C4×D3—24no—
280C2×C4×D3—44no—
281C2×C4×D3—44no—
282C2×C4×D3—44no—
283C2×Dic6—21no—
284C2×Dic6—22no—
285C2×Dic6—24no—
286C2×Dic6—24no—
287C2×Dic6—24no—
288C2×Dic6—24no—
289C2×Dic6—44no—
290C2×Dic6—44no—
291C2×Dic6—44no—
292C2×Dic6C2×D414yes—
293C2×Dic6C2×Q814yescomplemented
294C2×Dic6C2412yes—
295C2×C3×C8—22no—
296C2×C3×C8C2×Q814yescomplemented
297C2×C3×C8C2412yes—
298C2×C3×C8C2412yes—
299C3×C4⋊C4—21no—
300C3×C4⋊C4—24no—
301C3×C4⋊C4—21no—
302C3×C4⋊C4—24no—
303C3×C4⋊C4—21no—
304C3×C4⋊C4—21no—
305C3×C4⋊C4—24no—
306C3×C4⋊C4C2412yes—
307C3×C4⋊C4C2412yes—
308C3×C4⋊C4C2412yes—
309C3×C4⋊C4C2412yes—
310C3×C42C2×D412yes—
311C3×C42C2412yes—
312(C2×D3)⋊C4—24no—
313(C2×D3)⋊C4—24no—
314(C2×D3)⋊C4—24no—
315C4⋊Dic3—21no—
316C4⋊Dic3—21no—
317C4⋊Dic3—24no—
318C4⋊Dic3C2×D414yes—
319C4⋊Dic3C2412yes—
320C4⋊Dic3C2412yes—
321Dic3⋊C4—24no—
322Dic3⋊C4—24no—
323Dic3⋊C4—24no—
324Dic3⋊C4—24no—
325Dic3⋊C4—24no—
326Dic3⋊C4—24no—
327Dic3⋊C4—24no—
328Dic3⋊C4C2×D414yes—
329Dic3⋊C4C2×D414yes—
330C4×Dic3—24no—
331C4×Dic3—24no—
332C4×Dic3—24no—
333C4×Dic3C2×D412yes—
334C4×Dic3C2×D412yes—
335C4×Dic3C2412yes—
336C4×Dic3C2412yes—
337C2×C3⋊C8—22no—
338C2×C3⋊C8—22no—
339C2×C3⋊C8C2412yes—
340C2×C3⋊C8C2412yes—
341#204C2×Q8116yescomplemented
342C22×Q8—21no—
343C22×Q8—31no—
344C22×Q8—31no—
345C22×Q8—61no—
346C22×Q8—61no—
347C22×Q8—61no—
348C22×Q8—68no—
349C22×Q8—128no—
350C22×D4—31no—
351C23×C4—61no—
352C23×C4—61no—
353C23×C4—61no—
354C2×SD16—38no—
355C2×SD16—34no—
356C22×C8—31no—
357C22×C8—31no—
358C22×C8C22×D311yescharacteristic
359C22×C8C22×D311yescharacteristic
360C4⋊Q8—22no—
361C4⋊Q8—34no—
362C4⋊Q8—34no—
363C4⋊Q8—34no—
364C4⋊Q8—62no—
365C4⋊Q8—62no—
366C4⋊Q8—62no—
367C4⋊Q8—68no—
368C4⋊Q8C22×D314yes—
369#125—22no—
370#125—34no—
371#125—62no—
372#125—68no—
373#125—68no—
374#125C22×D314yes—
375C22⋊Q8—68no—
376C22⋊Q8—68no—
377C22⋊Q8—68no—
378C4×Q8—34no—
379C4×Q8—34no—
380C4×Q8—34no—
381C4×Q8—34no—
382C4×Q8—34no—
383C4×Q8—62no—
384C4×Q8—62no—
385C4×Q8—68no—
386C4×Q8—62no—
387C4×D4—34no—
388C4×D4—34no—
389C4×D4—34no—
390C4×D4—62no—
391C4×D4—62no—
392C4×D4—62no—
393C2×C4⋊C4—21no—
394C2×C4⋊C4—21no—
395C2×C4⋊C4—21no—
396C2×C4⋊C4—31no—
397C2×C4⋊C4—31no—
398C2×C4⋊C4—31no—
399C2×C4⋊C4—31no—
400C2×C4⋊C4—31no—
401C2×C4⋊C4—61no—
402C2×C4⋊C4—61no—
403C2×C4⋊C4—61no—
404C2×C4⋊C4—61no—
405C2×C4⋊C4—61no—
406C2×C4⋊C4—61no—
407C2×C4⋊C4—61no—
408C2×C4⋊C4—61no—
409C2×C4⋊C4C22×D311yescharacteristic
410C2×C4⋊C4C22×D311yescharacteristic
411C2×C4⋊C4C22×D311yescharacteristic
412C2×C4⋊C4C22×D311yescharacteristic
413C2×C22⋊C4—61no—
414C2×C22⋊C4—61no—
415C2×C22⋊C4—61no—
416C2×C42—31no—
417C2×C42—31no—
418C2×C42—61no—
419C2×C42—61no—
420C2×C42—61no—
421C2×C42C22×D311yescharacteristic
422#107—34no—
423#107—34no—
424#107—34no—
425#107—34no—
426#107C22×D314yes—
427#107C22×D314yes—
428#106—34no—
429#106C22×D314yes—
430#106C22×D314yes—
431C4⋊C8—34no—
432C4⋊C8—34no—
433C4⋊C8—34no—
434#103—34no—
435#103—34no—
436#103—34no—
437#102—34no—
438#102—34no—
439#102—34no—
440#97—34no—
441#97C22×D314yes—
442C4×C8—34no—
443C23×C3C22×D411yescharacteristic
444C22×D3—24no—
445C22×D3—22no—
446C22×D3—42no—
447C22×D3—42no—
448C3×Q8—48no—
449C2×C3×C4—22no—
450C2×C3×C4—22no—
451C2×C3×C4—22no—
452C2×C3×C4—22no—
453C2×C3×C4—22no—
454C2×C3×C4—22no—
455C2×C3×C4—42no—
456C2×C3×C4—42no—
457C2×C3×C4—42no—
458C2×C3×C4—42no—
459C2×C3×C4C22×D412yes—
460C2×C3×C4C22×D412yes—
461C2×C3×C4C22×D411yescharacteristic
462C2×C3×C4C22×Q812yes—
463C2×C3×C42−1+412yes—
464C2×C3×C4C2511yescharacteristic
465C2×Dic3—24no—
466C2×Dic3—22no—
467C2×Dic3—22no—
468C2×Dic3—22no—
469C2×Dic3—22no—
470C2×Dic3—22no—
471C2×Dic3—22no—
472C2×Dic3—42no—
473C2×Dic3—42no—
474C2×Dic3AGL(1,ℤ/8)14yes—
475C2×Dic3C22×D412yes—
476C2×Dic3C22×D412yes—
477C2×Dic3C22×D412yes—
478C2×Dic3C22×D412yes—
479D12—24no—
480D12—22no—
481D12C22×Q814yes—
482C4×D3—48no—
483C4×D3—48no—
484C4×D3—48no—
485Dic6—24no—
486Dic6—22no—
487Dic6—28no—
488Dic6—48no—
489Dic6—48no—
490Dic6—48no—
491Dic6C22×Q814yescomplemented
492C3×C8—22no—
493C3×C8C22×Q814yescomplemented
494C3⋊C8—22no—
495C3⋊C8—22no—
496C24—61no—
497C2×Q8—24no—
498C2×Q8—34no—
499C2×Q8—34no—
500C2×Q8—32no—
501C2×Q8—44no—
502C2×Q8—64no—
503C2×Q8—64no—
504C2×Q8—64no—
505C2×Q8—64no—
506C2×Q8—61no—
507C2×Q8—62no—
508C2×Q8—124no—
509C2×Q8—124no—
510C2×Q8—124no—
511C2×Q8—1232no—
512C2×D4—34no—
513C2×D4—32no—
514C2×D4—61no—
515C2×D4—62no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—31no—
521C22×C4—31no—
522C22×C4—31no—
523C22×C4—31no—
524C22×C4—64no—
525C22×C4—64no—
526C22×C4—61no—
527C22×C4—61no—
528C22×C4—61no—
529C22×C4—64no—
530C22×C4—124no—
531C22×C4—124no—
532C22×C4—124no—
533C22×C4D3×D411yescharacteristic
534C22×C4D3×D411yescharacteristic
535C22×C4C23×D311yescharacteristic
536SD16—316no—
537C2×C8—22no—
538C2×C8—32no—
539C2×C8—32no—
540C2×C8—62no—
541C2×C8—62no—
542C2×C8D3×Q814yescomplemented
543C2×C8C23×D312yes—
544C2×C8C23×D312yes—
545C4⋊C4—24no—
546C4⋊C4—24no—
547C4⋊C4—24no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—34no—
553C4⋊C4—34no—
554C4⋊C4—34no—
555C4⋊C4—32no—
556C4⋊C4—32no—
557C4⋊C4—64no—
558C4⋊C4—64no—
559C4⋊C4—64no—
560C4⋊C4—64no—
561C4⋊C4—64no—
562C4⋊C4—64no—
563C4⋊C4—64no—
564C4⋊C4—61no—
565C4⋊C4—61no—
566C4⋊C4—64no—
567C4⋊C4C23×D312yes—
568C4⋊C4C23×D312yes—
569C4⋊C4C23×D312yes—
570C4⋊C4C23×D312yes—
571C22⋊C4—64no—
572C22⋊C4—64no—
573C22⋊C4—64no—
574C42—32no—
575C42—32no—
576C42—32no—
577C42—32no—
578C42—64no—
579C42—64no—
580C42—64no—
581C42D3×D412yes—
582C42C23×D312yes—
583C22×C3D4×Q812yes—
584C22×C3C2×AGL(1,ℤ/8)12yes—
585C22×C3#57812yes—
586C22×C3C23×D411yescharacteristic
587C2×D3—24no—
588C2×D3—48no—
589C2×D3—42no—
590C2×D3—42no—
591C3×C4—22no—
592C3×C4—22no—
593C3×C4—42no—
594C3×C4—42no—
595C3×C4—42no—
596C3×C4—42no—
597C3×C4D4×Q812yes—
598C3×C4C23×Q811yescharacteristic
599C3×C4C2×2−1+411yescharacteristic
600Dic3—24no—
601Dic3—22no—
602Dic3—22no—
603Dic3—22no—
604Dic3—42no—
605Dic3—42no—
606Dic3C2×AGL(1,ℤ/8)14yes—
607C23—62no—
608C23—64no—
609C23—122no—
610C23—122no—
611C23C2×D3×D411yescharacteristic
612Q8—34no—
613Q8—48no—
614Q8—68no—
615Q8—62no—
616Q8—64no—
617Q8—128no—
618Q8—128no—
619Q8—128no—
620D4—34no—
621D4—62no—
622D4—64no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—32no—
630C2×C4—34no—
631C2×C4—32no—
632C2×C4—32no—
633C2×C4—32no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—62no—
639C2×C4—64no—
640C2×C4—62no—
641C2×C4—62no—
642C2×C4—62no—
643C2×C4—62no—
644C2×C4—62no—
645C2×C4—128no—
646C2×C4—128no—
647C2×C4—128no—
648C2×C4—122no—
649C2×C4—122no—
650C2×C4C2×D3×D412yes—
651C2×C4C2×D3×D412yes—
652C2×C4C2×D3×D411yescharacteristic
653C2×C4C2×D3×Q812yes—
654C2×C4#100712yes—
655C2×C4C24×D311yescharacteristic
656C8—22no—
657C8—62no—
658C8—62no—
659C8C2×D3×Q814yescomplemented
660C2×C3#338614yescomplemented
661C2×C3C2×D4×Q811yescharacteristic
662C2×C3C22×AGL(1,ℤ/8)11yescharacteristic
663C2×C3C2×#57811yescharacteristic
664D3—44no—
665C22—64no—
666C22—128no—
667C22—122no—
668C22—122no—
669C22#572712yes—
670C22D3×AGL(1,ℤ/8)12yes—
671C22#577912yes—
672C22C22×D3×D411yescharacteristic
673C4—22no—
674C4—22no—
675C4—34no—
676C4—42no—
677C4—42no—
678C4—42no—
679C4—42no—
680C4—62no—
681C4—62no—
682C4—62no—
683C4—64no—
684C4—122no—
685C4—122no—
686C4#572712yes—
687C4C22×D3×Q811yescharacteristic
688C4C2×#100711yescharacteristic
689C3C2×#338611yescharacteristic, complemented, Sylow
690C2—124no—
691C2#8196614yesdirect product factor
692C2C2×#572711yescharacteristic
693C2C2×D3×AGL(1,ℤ/8)11yescharacteristic
694C2C2×#577911yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC2×C3×#501C2
socleC23×C3C22×D4
prime radicalC22×D12C23
hypercenterC2×#501D3
hypocenterC3C2×#3386
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#501

Complements

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

NH ≅ G/Ntype
2. C2×#5685C2semidirect
3. C2×C3×#501C2semidirect
4. C2×#5091C2semidirect
6. #81966C2direct (N × H)
7. C2×#4875C2semidirect
9. C2×#4874C2semidirect
11. C2×#4854C2semidirect
13. C2×#4856C2semidirect
16. C2×#4701C2semidirect
26. #5685C22semidirect
44. C3×#501C22semidirect
57. #5091C22semidirect
70. #4875C22semidirect
71. #4874C22semidirect
73. #4856C22semidirect
74. #4854C22semidirect
77. #4701C22semidirect
82. C2×#501D3semidirect
144. C2×#204Q8semidirect
222. #501C2×D3semidirect
293. C2×Dic6C2×Q8semidirect
296. C2×C3×C8C2×Q8semidirect
341. #204C2×Q8semidirect
491. Dic6C22×Q8semidirect
493. C3×C8C22×Q8semidirect
542. C2×C8D3×Q8semidirect
659. C8C2×D3×Q8semidirect
660. C2×C3#3386semidirect
689. C3C2×#3386semidirect
691. C2#81966direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#57272
C2×#56852
C2×C3×#5012
C2×#50912
C2×#50662
#819662
C2×#48752
C2×#48902
C2×#48742
C2×#48892
C2×#48542
C2×#48712
C2×#48562
C2×#48522
C2×#47102
C2×#47012
C2×#33863