Finite Group Databasebeta

← C2×#83632 #11675714

Subgroups — C2×#83632 #11675714

Order 768.

1822 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#554C211yesmaximal, characteristic
2C2×#5567C211yesmaximal, characteristic, complemented
3#83632C2116yesmaximal, direct product factor
4C2×#5094C211yesmaximal, characteristic, complemented
5C2×#5081C211yesmaximal, characteristic, complemented
6C2×#5063C211yesmaximal, characteristic, complemented
7C2×#5063C211yesmaximal, characteristic, complemented
8C2×#5064C211yesmaximal, characteristic, complemented
9C2×#5065C211yesmaximal, characteristic, complemented
10C2×#5024C211yesmaximal, characteristic, complemented
11C2×C4×#214C211yesmaximal, characteristic
12C2×#5009C211yesmaximal, characteristic
13C2×#5009C211yesmaximal, characteristic
14C2×#5008C211yesmaximal, characteristic
15C2×#5018C211yesmaximal, characteristic
16C2×#5018C211yesmaximal, characteristic
17C2×#3388—31nomaximal, Sylow
18C3×#554—24no—
19C3×#554C2218yes—
20C2×C3×C4⋊Q8C2211yescharacteristic
21C2×C3×#125C2211yescharacteristic
22C2×C3×#125C2211yescharacteristic
23C2×C3×C22⋊Q8—21no—
24C2×C3×C22⋊Q8—21no—
25C2×C3×C22⋊Q8—21no—
26C2×C3×C4×Q8C2211yescharacteristic
27C2×C3×C4×D4C2211yescharacteristic
28C2×C3×C4×D4C2211yescharacteristic
29C2×C3×C4×D4C2211yescharacteristic
30C22×C3×C4⋊C4—21no—
31C2×#944—21no—
32C22×#214C2211yescharacteristic
33#5567—24no—
34#5567C2218yescomplemented
35C2×#889—21no—
36C2×#889—21no—
37C2×#887—21no—
38C2×#870C2211yescharacteristic
39C2×#870C2211yescharacteristic
40C2×#869C2211yescharacteristic
41C2×C4×Dic6C2211yescharacteristic
42C2×C4×Dic6C2211yescharacteristic
43C2×C4×Dic6C2211yescharacteristic
44C2×#832C2211yescharacteristic
45C2×#832C2211yescharacteristic
46C2×#832C2211yescharacteristic
47#5094C2218yescomplemented
48#5081C2218yescomplemented
49#5065C2218yescomplemented
50#5064C2218yescomplemented
51#5063C2218yescomplemented
52#5063C2218yescomplemented
53#5024C2218yescomplemented
54#5018C2218yes—
55#5018C2218yes—
56C4×#214C2218yes—
57#5009C2218yes—
58#5009C2218yes—
59#5008C2218yes—
60C2×#810C2211yescharacteristic
61C2×#810C2211yescharacteristic
62C2×#810C2211yescharacteristic
63C2×#808C2211yescharacteristic
64C2×#808C2211yescharacteristic
65C2×#808C2211yescharacteristic
66C2×#808C2211yescharacteristic
67C2×#808C2211yescharacteristic
68C2×#807C2211yescharacteristic
69C2×#807C2211yescharacteristic
70C2×#807C2211yescharacteristic
71C2×#807C2211yescharacteristic
72C2×C4⋊(C3⋊C8)C2211yescharacteristic
73C2×C4⋊(C3⋊C8)C2211yescharacteristic
74C2×C4⋊(C3⋊C8)C2211yescharacteristic
75C2×#803C2211yescharacteristic
76C2×#803C2211yescharacteristic
77C2×C4×C3⋊C8C2211yescharacteristic
78C2×#557—31no—
79C2×#554D311yescharacteristic
80#3388—316no—
81C2×#501—31no—
82C2×#501—31no—
83C2×#499—31no—
84C2×#479—31no—
85C2×#479—31no—
86C2×#475—31no—
87C2×#478—31no—
88C2×#478—31no—
89C2×#476—31no—
90C2×#446—31no—
91C2×#440—31no—
92C2×#440—31no—
93C2×C4×SD16—31no—
94C22×C3×Q8—21no—
95C22×C3×Q8D411yescharacteristic
96C22×C3×D4C2311yescharacteristic
97C23×C3×C4—21no—
98C23×C3×C4—21no—
99C23×C3×C4—21no—
100C22×Dic6—21no—
101C22×Dic6C2311yescharacteristic
102C3×C4⋊Q8—22no—
103C3×C4⋊Q8C2314yes—
104C3×#125—22no—
105C3×#125—22no—
106C3×#125C2314yes—
107C3×#125C2314yes—
108C3×C22⋊Q8—28no—
109C3×C22⋊Q8—28no—
110C3×C22⋊Q8—28no—
111C3×C4×Q8D414yes—
112C3×C4×Q8C2314yes—
113C3×C4×D4—22no—
114C3×C4×D4—22no—
115C3×C4×D4—22no—
116C3×C4×D4C2314yes—
117C3×C4×D4C2314yes—
118C3×C4×D4C2314yes—
119C2×C3×C4⋊C4—21no—
120C2×C3×C4⋊C4—21no—
121C2×C3×C4⋊C4—21no—
122C2×C3×C4⋊C4—21no—
123C2×C3×C4⋊C4—21no—
124C2×C3×C4⋊C4—28no—
125C2×C3×C4⋊C4D411yescharacteristic
126C2×C3×C4⋊C4D411yescharacteristic
127C2×C3×C4⋊C4D411yescharacteristic
128C2×C3×C4⋊C4C2311yescharacteristic
129C2×C3×C4⋊C4C2311yescharacteristic
130C2×C3×C4⋊C4C2311yescharacteristic
131C2×C3×C22⋊C4—21no—
132C2×C3×C22⋊C4—21no—
133C2×C3×C22⋊C4—21no—
134C2×C3×C42C2311yescharacteristic
135C2×C3×C42C2311yescharacteristic
136C2×C3×C42C2311yescharacteristic
137#944—28no—
138C2×#214Q818yescomplemented
139C2×#214C2314yes—
140C2×C4⋊Dic3—21no—
141C2×C4⋊Dic3C2311yescharacteristic
142C2×C4⋊Dic3C2311yescharacteristic
143C2×C4⋊Dic3C2311yescharacteristic
144C2×Dic3⋊C4—21no—
145C2×Dic3⋊C4—21no—
146C2×Dic3⋊C4—21no—
147C2×Dic3⋊C4—21no—
148C2×Dic3⋊C4—21no—
149C2×Dic3⋊C4—21no—
150C2×Dic3⋊C4—21no—
151C2×C4×Dic3—21no—
152C2×C4×Dic3—21no—
153C2×C4×Dic3—21no—
154C22×C3⋊C8C2311yescharacteristic
155C22×C3⋊C8C2311yescharacteristic
156C22×C3⋊C8C2311yescharacteristic
157C22×C3⋊C8C2311yescharacteristic
158#889—28no—
159#889—28no—
160#887—28no—
161#870—22no—
162#870—22no—
163#870C2314yes—
164#870C2314yes—
165#869—22no—
166#869C2314yes—
167C4×Dic6—22no—
168C4×Dic6—22no—
169C4×Dic6—22no—
170C4×Dic6C2314yes—
171C4×Dic6C2314yes—
172C4×Dic6C2314yes—
173#832C2314yes—
174#832C2314yes—
175#832C2314yes—
176#810C2314yes—
177#810C2314yes—
178#810C2314yes—
179#808C2314yes—
180#808C2314yes—
181#808C2314yes—
182#808C2314yes—
183#808C2314yes—
184#807C2314yes—
185#807C2314yes—
186#807C2314yes—
187#807C2314yes—
188C4⋊(C3⋊C8)C2314yes—
189C4⋊(C3⋊C8)C2314yes—
190C4⋊(C3⋊C8)C2314yes—
191#803C2314yes—
192#803C2314yes—
193C4×C3⋊C8C2314yes—
194C22×SD16—31no—
195#557—38no—
196#557—64no—
197#554—24no—
198#554C2×D318yes—
199C2×C4⋊Q8—31no—
200C2×C4⋊Q8—61no—
201C2×C4⋊Q8C2×D311yescharacteristic
202C2×#125—31no—
203C2×#125—31no—
204C2×#125—61no—
205C2×#125—61no—
206C2×#125C2×D311yescharacteristic
207C2×#125C2×D311yescharacteristic
208C2×C22⋊Q8—21no—
209C2×C22⋊Q8—21no—
210C2×C22⋊Q8—21no—
211C2×C4×Q8—31no—
212C2×C4×Q8—31no—
213C2×C4×Q8—31no—
214C2×C4×Q8—61no—
215C2×C4×Q8C2×D311yescharacteristic
216C2×C4×D4C2×D311yescharacteristic
217C2×C4×D4C2×D311yescharacteristic
218C2×C4×D4C2×D311yescharacteristic
219C22×C4⋊C4—21no—
220#501—38no—
221#501—38no—
222#499—38no—
223#479—38no—
224#479—38no—
225#478—38no—
226#478—38no—
227#476—38no—
228#475—38no—
229#446—38no—
230#440—38no—
231#440—38no—
232C4×SD16—38no—
233C2×#107—31no—
234C2×#107—31no—
235C2×#107—31no—
236C2×#107—31no—
237C2×#106—31no—
238C2×#106—31no—
239C2×#106—31no—
240C2×#106—31no—
241C2×#106—31no—
242C2×C4⋊C8—31no—
243C2×C4⋊C8—31no—
244C2×C4⋊C8—31no—
245C2×#103—31no—
246C2×#103—31no—
247C2×#103—31no—
248C2×#102—31no—
249C2×#102—31no—
250C2×#102—31no—
251C2×#97—31no—
252C2×#97—31no—
253C2×C4×C8—31no—
254C24×C3—21no—
255C2×C3×Q8—24no—
256C2×C3×Q8—42no—
257C2×C3×Q8—82no—
258C2×C3×Q8C2×D414yes—
259C2×C3×D4—21no—
260C2×C3×D4—22no—
261C2×C3×D4C2×Q814yes—
262C2×C3×D4C2412yes—
263C22×C3×C4—21no—
264C22×C3×C4—21no—
265C22×C3×C4—21no—
266C22×C3×C4—24no—
267C22×C3×C4—24no—
268C22×C3×C4—24no—
269C22×C3×C4—44no—
270C22×C3×C4—82no—
271C22×C3×C4—82no—
272C22×C3×C4C2×D411yescharacteristic
273C22×C3×C4C2×D411yescharacteristic
274C22×C3×C4C2×D411yescharacteristic
275C22×C3×C4C2×D411yescharacteristic
276C22×C3×C4C2×D411yescharacteristic
277C22×C3×C4C2×D411yescharacteristic
278C22×C3×C4C2411yescharacteristic
279C22×Dic3—21no—
280C22×Dic3—21no—
281C22×Dic3—21no—
282C22×Dic3—21no—
283C2×Dic6—21no—
284C2×Dic6—22no—
285C2×Dic6—24no—
286C2×Dic6—44no—
287C2×Dic6C2×Q814yes—
288C2×Dic6C2412yes—
289C3×C4⋊C4—24no—
290C3×C4⋊C4—24no—
291C3×C4⋊C4—24no—
292C3×C4⋊C4—24no—
293C3×C4⋊C4—24no—
294C3×C4⋊C4—21no—
295C3×C4⋊C4—21no—
296C3×C4⋊C4—21no—
297C3×C4⋊C4C2×D414yes—
298C3×C4⋊C4C2×D414yes—
299C3×C4⋊C4C2×D414yes—
300C3×C4⋊C4C2412yes—
301C3×C4⋊C4C2412yes—
302C3×C4⋊C4C2412yes—
303C3×C22⋊C4—24no—
304C3×C22⋊C4—24no—
305C3×C22⋊C4—24no—
306C3×C42C2×D412yes—
307C3×C42C2×D412yes—
308C3×C42C2×D412yes—
309C3×C42C2412yes—
310C3×C42C2412yes—
311C3×C42C2412yes—
312#214C2×Q8116yescomplemented
313C4⋊Dic3—21no—
314C4⋊Dic3—21no—
315C4⋊Dic3—21no—
316C4⋊Dic3—24no—
317C4⋊Dic3C2412yes—
318C4⋊Dic3C2412yes—
319C4⋊Dic3C2412yes—
320Dic3⋊C4—24no—
321Dic3⋊C4—24no—
322Dic3⋊C4—24no—
323Dic3⋊C4—24no—
324Dic3⋊C4—24no—
325Dic3⋊C4—24no—
326Dic3⋊C4—24no—
327C4×Dic3—24no—
328C4×Dic3—24no—
329C4×Dic3—24no—
330C2×C3⋊C8—22no—
331C2×C3⋊C8—22no—
332C2×C3⋊C8—22no—
333C2×C3⋊C8C2×Q814yes—
334C2×C3⋊C8C2412yes—
335C2×C3⋊C8C2412yes—
336C2×C3⋊C8C2412yes—
337C2×C3⋊C8C2412yes—
338C22×Q8—21no—
339C22×Q8—31no—
340C22×Q8—61no—
341C22×Q8#6711yescharacteristic
342C22×D4C22×D311yescharacteristic
343C23×C4—21no—
344C23×C4—21no—
345C23×C4—21no—
346C2×SD16—38no—
347C2×SD16—34no—
348C22×C8—31no—
349C22×C8—31no—
350C22×C8—31no—
351C22×C8—31no—
352C4⋊Q8—22no—
353C4⋊Q8—34no—
354C4⋊Q8—68no—
355C4⋊Q8—62no—
356C4⋊Q8C22×D314yes—
357#125—22no—
358#125—22no—
359#125—34no—
360#125—34no—
361#125—68no—
362#125—68no—
363#125—62no—
364#125—62no—
365#125C22×D314yes—
366#125C22×D314yes—
367C22⋊Q8—28no—
368C22⋊Q8—28no—
369C22⋊Q8—28no—
370C4×Q8—34no—
371C4×Q8—34no—
372C4×Q8—34no—
373C4×Q8—68no—
374C4×Q8—62no—
375C4×Q8—62no—
376C4×Q8—62no—
377C4×Q8#6714yes—
378C4×Q8C22×D314yes—
379C4×D4—22no—
380C4×D4—22no—
381C4×D4—22no—
382C4×D4C22×D314yes—
383C4×D4C22×D314yes—
384C4×D4C22×D314yes—
385C2×C4⋊C4—21no—
386C2×C4⋊C4—21no—
387C2×C4⋊C4—21no—
388C2×C4⋊C4—21no—
389C2×C4⋊C4—21no—
390C2×C4⋊C4—28no—
391C2×C4⋊C4—31no—
392C2×C4⋊C4—31no—
393C2×C4⋊C4—31no—
394C2×C4⋊C4—61no—
395C2×C4⋊C4—61no—
396C2×C4⋊C4—61no—
397C2×C4⋊C4—61no—
398C2×C4⋊C4—61no—
399C2×C4⋊C4—61no—
400C2×C4⋊C4—61no—
401C2×C4⋊C4—61no—
402C2×C4⋊C4#6711yescharacteristic
403C2×C4⋊C4#6711yescharacteristic
404C2×C4⋊C4#6711yescharacteristic
405C2×C4⋊C4C22×D311yescharacteristic
406C2×C4⋊C4C22×D311yescharacteristic
407C2×C4⋊C4C22×D311yescharacteristic
408C2×C22⋊C4—21no—
409C2×C22⋊C4—21no—
410C2×C22⋊C4—21no—
411C2×C42—61no—
412C2×C42—61no—
413C2×C42—61no—
414C2×C42C22×D311yescharacteristic
415C2×C42C22×D311yescharacteristic
416C2×C42C22×D311yescharacteristic
417#107—34no—
418#107—34no—
419#107—34no—
420#107—34no—
421#106—34no—
422#106—34no—
423#106—34no—
424#106—34no—
425#106—34no—
426C4⋊C8—34no—
427C4⋊C8—34no—
428C4⋊C8—34no—
429#103—34no—
430#103—34no—
431#103—34no—
432#102—34no—
433#102—34no—
434#102—34no—
435#97—34no—
436#97—34no—
437C4×C8—34no—
438C23×C3—24no—
439C23×C3—22no—
440C23×C3—42no—
441C23×C3—42no—
442C23×C3C22×D411yescharacteristic
443C3×Q8—44no—
444C3×Q8—84no—
445C3×D4—24no—
446C3×D4—22no—
447C3×D4C22×Q814yes—
448C2×C3×C4—22no—
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—22no—
456C2×C3×C4—22no—
457C2×C3×C4—48no—
458C2×C3×C4—42no—
459C2×C3×C4—42no—
460C2×C3×C4—42no—
461C2×C3×C4—84no—
462C2×C3×C4—84no—
463C2×C3×C4C22×D412yes—
464C2×C3×C4C22×D412yes—
465C2×C3×C4C22×D412yes—
466C2×C3×C4C22×D412yes—
467C2×C3×C4C22×D412yes—
468C2×C3×C4C22×D412yes—
469C2×C3×C4C22×D411yescharacteristic
470C2×C3×C4C22×Q812yes—
471C2×C3×C42−1+412yes—
472C2×C3×C4C2511yescharacteristic
473C2×Dic3—24no—
474C2×Dic3—22no—
475C2×Dic3—22no—
476C2×Dic3—22no—
477C2×Dic3—22no—
478C2×Dic3—42no—
479C2×Dic3—42no—
480C2×Dic3—42no—
481Dic6—24no—
482Dic6—22no—
483Dic6—48no—
484Dic6C22×Q814yes—
485C3⋊C8—22no—
486C3⋊C8—22no—
487C3⋊C8—22no—
488C3⋊C8C22×Q814yes—
489C24—21no—
490C2×Q8—24no—
491C2×Q8—34no—
492C2×Q8—32no—
493C2×Q8—42no—
494C2×Q8—62no—
495C2×Q8—61no—
496C2×Q8—64no—
497C2×Q8—82no—
498C2×Q8—124no—
499C2×Q8C2×#6714yes—
500C2×D4—22no—
501C2×D4—21no—
502C2×D4D3×Q814yes—
503C2×D4C23×D312yes—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—44no—
511C22×C4—61no—
512C22×C4—61no—
513C22×C4—61no—
514C22×C4—61no—
515C22×C4—82no—
516C22×C4—82no—
517C22×C4C2×#6711yescharacteristic
518C22×C4C2×#6711yescharacteristic
519C22×C4C2×#6711yescharacteristic
520C22×C4C2×#6711yescharacteristic
521C22×C4C2×#6711yescharacteristic
522C22×C4C2×#6711yescharacteristic
523C22×C4C23×D311yescharacteristic
524SD16—316no—
525C2×C8—34no—
526C2×C8—32no—
527C2×C8—32no—
528C2×C8—32no—
529C2×C8—32no—
530C2×C8—62no—
531C2×C8—62no—
532C2×C8—62no—
533C4⋊C4—24no—
534C4⋊C4—24no—
535C4⋊C4—24no—
536C4⋊C4—24no—
537C4⋊C4—24no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—32no—
542C4⋊C4—32no—
543C4⋊C4—32no—
544C4⋊C4—61no—
545C4⋊C4—61no—
546C4⋊C4—61no—
547C4⋊C4—64no—
548C4⋊C4—64no—
549C4⋊C4—64no—
550C4⋊C4—64no—
551C4⋊C4—64no—
552C4⋊C4—64no—
553C4⋊C4—64no—
554C4⋊C4—64no—
555C4⋊C4C2×#6714yes—
556C4⋊C4C2×#6714yes—
557C4⋊C4C2×#6714yes—
558C4⋊C4C23×D312yes—
559C4⋊C4C23×D312yes—
560C4⋊C4C23×D312yes—
561C22⋊C4—24no—
562C22⋊C4—24no—
563C22⋊C4—24no—
564C42—64no—
565C42—64no—
566C42—64no—
567C42C2×#6712yes—
568C42C2×#6712yes—
569C42C2×#6712yes—
570C42C23×D312yes—
571C42C23×D312yes—
572C42C23×D312yes—
573C22×C3—24no—
574C22×C3—48no—
575C22×C3—42no—
576C22×C3—42no—
577C22×C3D4×Q812yes—
578C22×C3#57512yes—
579C22×C3#57712yes—
580C22×C3C23×D411yescharacteristic
581C3×C4—22no—
582C3×C4—22no—
583C3×C4—22no—
584C3×C4—22no—
585C3×C4—22no—
586C3×C4—22no—
587C3×C4—42no—
588C3×C4—42no—
589C3×C4—42no—
590C3×C4D4×Q812yes—
591C3×C4C23×Q811yescharacteristic
592C3×C4C2×2−1+411yescharacteristic
593Dic3—24no—
594Dic3—42no—
595Dic3—42no—
596Dic3—42no—
597C23—22no—
598C23—24no—
599C23—42no—
600C23—42no—
601C23C22×#6711yescharacteristic
602Q8—34no—
603Q8—44no—
604Q8—62no—
605Q8—64no—
606Q8—84no—
607Q8—128no—
608D4—22no—
609D4—24no—
610D4C2×D3×Q814yes—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—22no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—48no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—62no—
625C2×C4—64no—
626C2×C4—62no—
627C2×C4—62no—
628C2×C4—62no—
629C2×C4—84no—
630C2×C4—84no—
631C2×C4—122no—
632C2×C4—122no—
633C2×C4—122no—
634C2×C4C2×D3×Q812yes—
635C2×C4#100712yes—
636C2×C4C22×#6712yes—
637C2×C4C22×#6712yes—
638C2×C4C22×#6712yes—
639C2×C4C22×#6712yes—
640C2×C4C22×#6712yes—
641C2×C4C22×#6712yes—
642C2×C4C22×#6711yescharacteristic
643C2×C4C24×D311yescharacteristic
644C8—34no—
645C8—62no—
646C8—62no—
647C8—62no—
648C2×C3—44no—
649C2×C3#338814yescomplemented
650C2×C3C2×D4×Q811yescharacteristic
651C2×C3C2×#57511yescharacteristic
652C2×C3C2×#57711yescharacteristic
653C22—24no—
654C22—48no—
655C22—42no—
656C22—42no—
657C22Q8×#6712yes—
658C22#582212yes—
659C22#583612yes—
660C22C23×#6711yescharacteristic
661C4—22no—
662C4—22no—
663C4—22no—
664C4—22no—
665C4—22no—
666C4—22no—
667C4—42no—
668C4—42no—
669C4—42no—
670C4—64no—
671C4—122no—
672C4—122no—
673C4—122no—
674C4Q8×#6712yes—
675C4C22×D3×Q811yescharacteristic
676C4C2×#100711yescharacteristic
677C3C2×#338811yescharacteristic, complemented, Sylow
678C2—44no—
679C2#8363214yesdirect product factor
680C2C2×Q8×#6711yescharacteristic
681C2C2×#582211yescharacteristic
682C2C2×#583611yescharacteristic
subgroupG/H
centerC23C22×#67
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC2×C3×#554C2
socleC23×C3C22×D4
prime radicalC22×C3×D4C23
hypercenterC2×#554D3
hypocenterC3C2×#3388
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C4×Q8 ◁ C2×#554

Complements

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

NH ≅ G/Ntype
2. C2×#5567C2semidirect
3. #83632C2direct (N × H)
4. C2×#5094C2semidirect
5. C2×#5081C2semidirect
6. C2×#5063C2semidirect
7. C2×#5063C2semidirect
8. C2×#5064C2semidirect
9. C2×#5065C2semidirect
10. C2×#5024C2semidirect
34. #5567C22semidirect
47. #5094C22semidirect
48. #5081C22semidirect
49. #5065C22semidirect
50. #5064C22semidirect
51. #5063C22semidirect
52. #5063C22semidirect
53. #5024C22semidirect
138. C2×#214Q8semidirect
312. #214C2×Q8semidirect
649. C2×C3#3388semidirect
677. C3C2×#3388semidirect
679. C2#83632direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#5542
C2×#55672
#836322
C2×#50942
C2×#50812
C2×#50632
C2×#50642
C2×#50652
C2×#50242
C2×C4×#2142
C2×#50092
C2×#50082
C2×#50182
C2×#33883