Finite Group Databasebeta

← C2×#83454 #11667402

Subgroups — C2×#83454 #11667402

Order 768.

1742 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×C3×#542C211yesmaximal, characteristic
2C2×#5519C211yesmaximal, characteristic, complemented
3#83454C2116yesmaximal, direct product factor
4C2×#5081C211yesmaximal, characteristic, complemented
5C2×#5078C211yesmaximal, characteristic, complemented
6C2×#5055C211yesmaximal, characteristic, complemented
7C2×#5056C211yesmaximal, characteristic, complemented
8C2×#5044C211yesmaximal, characteristic, complemented
9C2×#5045C211yesmaximal, characteristic, complemented
10C2×#5035C211yesmaximal, characteristic
11C2×#5033C211yesmaximal, characteristic
12C2×#5022C211yesmaximal, characteristic, complemented
13C2×#5021C211yesmaximal, characteristic, complemented
14C2×#5009C211yesmaximal, characteristic, complemented
15C2×#5007C211yesmaximal, characteristic, complemented
16C2×#5000C211yesmaximal, characteristic, complemented
17C2×#3243—31nomaximal, Sylow
18C3×#542—24no—
19C3×#542C2218yes—
20C2×C3×C4⋊Q8C2211yescharacteristic
21C2×C3×#126—21no—
22C2×C3×#124—21no—
23C2×C3×#124C2211yescharacteristic
24C2×C3×#123—21no—
25C2×C3×C22⋊Q8—21no—
26C2×C3×C22⋊Q8C2211yescharacteristic
27C2×C3×#121C2211yescharacteristic
28C2×C3×C4×Q8C2211yescharacteristic
29C2×C3×C4×D4C2211yescharacteristic
30C2×C3×#117C2211yescharacteristic
31C2×#926C2211yescharacteristic
32C22×C4⋊Dic3C2211yescharacteristic
33#5519—24no—
34#5519C2218yescomplemented
35C2×#890—21no—
36C2×#888—21no—
37C2×#878—21no—
38C2×#878—21no—
39C2×#870C2211yescharacteristic
40C2×#870C2211yescharacteristic
41C2×#869C2211yescharacteristic
42C2×#869C2211yescharacteristic
43C2×#835C2211yescharacteristic
44C2×#835C2211yescharacteristic
45C2×#835C2211yescharacteristic
46C2×#835C2211yescharacteristic
47C2×#832C2211yescharacteristic
48C2×#832C2211yescharacteristic
49C2×#832C2211yescharacteristic
50C2×#832C2211yescharacteristic
51C2×#830C2211yescharacteristic
52C2×#830C2211yescharacteristic
53#5081C2218yescomplemented
54#5078C2218yescomplemented
55#5056C2218yescomplemented
56#5055C2218yescomplemented
57#5045C2218yescomplemented
58#5044C2218yescomplemented
59#5035C2218yes—
60#5033C2218yes—
61#5022C2218yescomplemented
62#5021C2218yescomplemented
63#5009C2218yescomplemented
64#5007C2218yescomplemented
65#5000C2218yescomplemented
66C2×#808C2211yescharacteristic
67C2×#808C2211yescharacteristic
68C2×#807C2211yescharacteristic
69C2×#807C2211yescharacteristic
70C2×#807C2211yescharacteristic
71C2×#807C2211yescharacteristic
72C2×#807C2211yescharacteristic
73C2×#807C2211yescharacteristic
74C2×C4⋊(C3⋊C8)C2211yescharacteristic
75C2×C4⋊(C3⋊C8)C2211yescharacteristic
76C2×#803C2211yescharacteristic
77C2×C4×C3⋊C8C2211yescharacteristic
78C2×#544—31no—
79C2×#542D311yescharacteristic
80#3243—316no—
81C2×#501—31no—
82C2×#500—31no—
83C2×#489—31no—
84C2×#488—31no—
85C2×#484—31no—
86C2×#485—31no—
87C2×#482—31no—
88C2×#480—31no—
89C2×#479—31no—
90C2×#477—31no—
91C2×#478—31no—
92C2×#474—31no—
93C2×#433—31no—
94C22×C3×Q8—21no—
95C22×C3×Q8C2311yescharacteristic
96C22×C3×D4—21no—
97C22×C3×D4C2311yescharacteristic
98C23×C3×C4—21no—
99C23×C3×C4C2311yescharacteristic
100C23×Dic3—21no—
101C22×Dic6—21no—
102C22×Dic6—21no—
103C3×C4⋊Q8—22no—
104C3×C4⋊Q8C2314yes—
105C3×#126—28no—
106C3×#124—28no—
107C3×#124—22no—
108C3×#124C2314yes—
109C3×#123—28no—
110C3×C22⋊Q8—22no—
111C3×C22⋊Q8—28no—
112C3×C22⋊Q8C2314yes—
113C3×#121—22no—
114C3×#121C2314yes—
115C3×C4×Q8—22no—
116C3×C4×Q8C2314yes—
117C3×C4×D4—22no—
118C3×C4×D4C2314yes—
119C3×#117D414yes—
120C3×#117C2314yes—
121C2×C3×C4⋊C4—21no—
122C2×C3×C4⋊C4—21no—
123C2×C3×C4⋊C4—21no—
124C2×C3×C4⋊C4D411yescharacteristic
125C2×C3×C4⋊C4D411yescharacteristic
126C2×C3×C4⋊C4C2311yescharacteristic
127C2×C3×C4⋊C4C2311yescharacteristic
128C2×C3×C22⋊C4—21no—
129C2×C3×C22⋊C4—21no—
130C2×C3×C22⋊C4—21no—
131C2×C3×C22⋊C4—21no—
132C2×C3×C22⋊C4—21no—
133C2×C3×C22⋊C4D411yescharacteristic
134C2×C3×C22⋊C4D411yescharacteristic
135C2×C3×C42—21no—
136C2×C3×C42C2311yescharacteristic
137C2×C3×C42C2311yescharacteristic
138C2×#217—21no—
139#926—22no—
140#926C2314yes—
141C2×C4⋊Dic3—21no—
142C2×C4⋊Dic3—21no—
143C2×C4⋊Dic3—21no—
144C2×C4⋊Dic3—22no—
145C2×C4⋊Dic3C2311yescharacteristic
146C2×C4⋊Dic3C2311yescharacteristic
147C2×C4⋊Dic3C2311yescharacteristic
148C2×C4⋊Dic3C2311yescharacteristic
149C2×C4⋊Dic3C2314yes—
150C2×Dic3⋊C4—21no—
151C2×Dic3⋊C4—21no—
152C2×Dic3⋊C4—21no—
153C2×Dic3⋊C4—21no—
154C2×C4×Dic3—21no—
155C22×C3⋊C8C2311yescharacteristic
156C22×C3⋊C8C2311yescharacteristic
157C22×C3⋊C8C2311yescharacteristic
158C22×C3⋊C8C2311yescharacteristic
159#890—28no—
160#888—28no—
161#878—28no—
162#878—28no—
163#870—22no—
164#870—22no—
165#870C2314yes—
166#870C2314yes—
167#869—22no—
168#869—22no—
169#869C2314yes—
170#869C2314yes—
171#835C2314yes—
172#835C2314yes—
173#835C2314yes—
174#835C2314yes—
175#832C2314yes—
176#832C2314yes—
177#832C2314yes—
178#832C2314yes—
179#830C2314yes—
180#830C2314yes—
181#808C2314yes—
182#808C2314yes—
183#807C2314yes—
184#807C2314yes—
185#807C2314yes—
186#807C2314yes—
187#807C2314yes—
188#807C2314yes—
189C4⋊(C3⋊C8)C2314yes—
190C4⋊(C3⋊C8)C2314yes—
191#803C2314yes—
192C4×C3⋊C8C2314yes—
193#544—38no—
194#544—64no—
195#542—24no—
196#542C2×D318yes—
197C2×C4⋊Q8—31no—
198C2×C4⋊Q8—31no—
199C2×C4⋊Q8—61no—
200C2×C4⋊Q8C2×D311yescharacteristic
201C2×#126—21no—
202C2×#125—31no—
203C2×#125—31no—
204C2×#125—61no—
205C2×#124—21no—
206C2×#124C2×D311yescharacteristic
207C2×#123—21no—
208C2×C22⋊Q8—21no—
209C2×C22⋊Q8—61no—
210C2×C22⋊Q8—61no—
211C2×C22⋊Q8C2×D311yescharacteristic
212C2×#121C2×D311yescharacteristic
213C2×C4×Q8C2×D311yescharacteristic
214C2×C4×D4C2×D311yescharacteristic
215C2×#117—31no—
216C2×#117C2×D311yescharacteristic
217C22×C4⋊C4—31no—
218#501—38no—
219#500—38no—
220#489—38no—
221#488—38no—
222#485—38no—
223#484—38no—
224#482—38no—
225#480—38no—
226#479—38no—
227#478—38no—
228#477—38no—
229#474—38no—
230#433—38no—
231C2×#107—31no—
232C2×#107—31no—
233C2×#107—31no—
234C2×#107—31no—
235C2×#107—31no—
236C2×#107—31no—
237C2×#106—31no—
238C2×#106—31no—
239C2×C4⋊C8—31no—
240C2×C4⋊C8—31no—
241C2×#103—31no—
242C2×#103—31no—
243C2×#103—31no—
244C2×#103—31no—
245C2×#102—31no—
246C2×#102—31no—
247C2×#102—31no—
248C2×#102—31no—
249C2×C22⋊C8—31no—
250C2×C22⋊C8—31no—
251C2×#97—31no—
252C2×C4×C8—31no—
253C24×C3—21no—
254C24×C3C2×D411yescharacteristic
255C2×C3×Q8—21no—
256C2×C3×Q8—24no—
257C2×C3×Q8—22no—
258C2×C3×Q8—22no—
259C2×C3×Q8—82no—
260C2×C3×Q8C2412yes—
261C2×C3×D4—24no—
262C2×C3×D4—21no—
263C2×C3×D4—22no—
264C2×C3×D4—22no—
265C2×C3×D4—82no—
266C2×C3×D4C2412yes—
267C22×C3×C4—22no—
268C22×C3×C4—22no—
269C22×C3×C4—21no—
270C22×C3×C4—21no—
271C22×C3×C4—21no—
272C22×C3×C4—24no—
273C22×C3×C4—82no—
274C22×C3×C4C2×D411yescharacteristic
275C22×C3×C4C2×D411yescharacteristic
276C22×C3×C4C2×D411yescharacteristic
277C22×C3×C4C2×D411yescharacteristic
278C22×C3×C4C2×D411yescharacteristic
279C22×C3×C4C2×D412yes—
280C22×C3×C4C2412yes—
281C22×C3×C4C2411yescharacteristic
282C22×Dic3—21no—
283C22×Dic3—21no—
284C22×Dic3—21no—
285C22×Dic3—21no—
286C22×Dic3—24no—
287C22×Dic3—82no—
288C2×Dic6—24no—
289C2×Dic6—24no—
290C2×Dic6—82no—
291C2×Dic6—82no—
292C3×C4⋊C4—24no—
293C3×C4⋊C4—24no—
294C3×C4⋊C4—24no—
295C3×C4⋊C4—21no—
296C3×C4⋊C4—21no—
297C3×C4⋊C4C2×D414yes—
298C3×C4⋊C4C2×D414yes—
299C3×C4⋊C4C2412yes—
300C3×C4⋊C4C2412yes—
301C3×C22⋊C4—24no—
302C3×C22⋊C4—24no—
303C3×C22⋊C4—24no—
304C3×C22⋊C4—24no—
305C3×C22⋊C4—24no—
306C3×C22⋊C4C2×D414yes—
307C3×C22⋊C4C2×D414yes—
308C3×C42—24no—
309C3×C42C2×D412yes—
310C3×C42C2×D412yes—
311C3×C42C2412yes—
312C3×C42C2412yes—
313#217—24no—
314C4⋊Dic3—21no—
315C4⋊Dic3—21no—
316C4⋊Dic3—21no—
317C4⋊Dic3—24no—
318C4⋊Dic3—24no—
319C4⋊Dic3—21no—
320C4⋊Dic3—24no—
321C4⋊Dic3C2412yes—
322C4⋊Dic3C2412yes—
323C4⋊Dic3C2412yes—
324C4⋊Dic3C2412yes—
325Dic3⋊C4—24no—
326Dic3⋊C4—24no—
327Dic3⋊C4—24no—
328Dic3⋊C4—24no—
329C4×Dic3—24no—
330C2×C3⋊C8—22no—
331C2×C3⋊C8—22no—
332C2×C3⋊C8—22no—
333C2×C3⋊C8—22no—
334C2×C3⋊C8C2412yes—
335C2×C3⋊C8C2412yes—
336C2×C3⋊C8C2412yes—
337C2×C3⋊C8C2412yes—
338C22×Q8—21no—
339C22×Q8—61no—
340C22×Q8—61no—
341C22×Q8C22×D311yescharacteristic
342C22×D4—21no—
343C22×D4C22×D311yescharacteristic
344C23×C4—21no—
345C23×C4—61no—
346C23×C4C22×D311yescharacteristic
347C22×C8—31no—
348C22×C8—31no—
349C22×C8—31no—
350C22×C8—31no—
351C4⋊Q8—22no—
352C4⋊Q8—34no—
353C4⋊Q8—34no—
354C4⋊Q8—68no—
355C4⋊Q8—62no—
356C4⋊Q8—62no—
357C4⋊Q8C22×D314yes—
358#126—28no—
359#125—34no—
360#125—34no—
361#125—68no—
362#125—62no—
363#125—62no—
364#124—28no—
365#124—22no—
366#124C22×D314yes—
367#123—28no—
368C22⋊Q8—22no—
369C22⋊Q8—28no—
370C22⋊Q8—68no—
371C22⋊Q8—68no—
372C22⋊Q8C22×D314yes—
373#121—22no—
374#121C22×D314yes—
375C4×Q8—22no—
376C4×Q8C22×D314yes—
377C4×D4—22no—
378C4×D4C22×D314yes—
379#117—34no—
380#117—62no—
381#117#6714yes—
382#117C22×D314yes—
383C2×C4⋊C4—21no—
384C2×C4⋊C4—21no—
385C2×C4⋊C4—21no—
386C2×C4⋊C4—31no—
387C2×C4⋊C4—31no—
388C2×C4⋊C4—34no—
389C2×C4⋊C4—31no—
390C2×C4⋊C4—31no—
391C2×C4⋊C4—61no—
392C2×C4⋊C4—62no—
393C2×C4⋊C4—61no—
394C2×C4⋊C4—61no—
395C2×C4⋊C4—61no—
396C2×C4⋊C4—61no—
397C2×C4⋊C4—61no—
398C2×C4⋊C4—61no—
399C2×C4⋊C4#6711yescharacteristic
400C2×C4⋊C4#6711yescharacteristic
401C2×C4⋊C4C22×D311yescharacteristic
402C2×C4⋊C4C22×D311yescharacteristic
403C2×C22⋊C4—21no—
404C2×C22⋊C4—21no—
405C2×C22⋊C4—21no—
406C2×C22⋊C4—21no—
407C2×C22⋊C4—21no—
408C2×C22⋊C4—61no—
409C2×C22⋊C4#6711yescharacteristic
410C2×C22⋊C4#6711yescharacteristic
411C2×C42—21no—
412C2×C42—61no—
413C2×C42C22×D311yescharacteristic
414C2×C42C22×D311yescharacteristic
415#107—34no—
416#107—34no—
417#107—34no—
418#107—34no—
419#107—34no—
420#107—34no—
421#106—34no—
422#106—34no—
423C4⋊C8—34no—
424C4⋊C8—34no—
425#103—34no—
426#103—34no—
427#103—34no—
428#103—34no—
429#102—34no—
430#102—34no—
431#102—34no—
432#102—34no—
433C22⋊C8—34no—
434C22⋊C8—34no—
435#97—34no—
436C4×C8—34no—
437C23×C3—22no—
438C23×C3—22no—
439C23×C3—22no—
440C23×C3—22no—
441C23×C3—42no—
442C23×C3—42no—
443C23×C3—42no—
444C23×C3C22×D412yes—
445C23×C3C22×D411yescharacteristic
446C3×Q8—22no—
447C3×Q8—22no—
448C3×Q8—42no—
449C3×Q8—84no—
450C3×D4—22no—
451C3×D4—22no—
452C3×D4—42no—
453C3×D4—84no—
454C2×C3×C4—22no—
455C2×C3×C4—22no—
456C2×C3×C4—22no—
457C2×C3×C4—22no—
458C2×C3×C4—22no—
459C2×C3×C4—24no—
460C2×C3×C4—22no—
461C2×C3×C4—22no—
462C2×C3×C4—22no—
463C2×C3×C4—22no—
464C2×C3×C4—22no—
465C2×C3×C4—42no—
466C2×C3×C4—42no—
467C2×C3×C4—42no—
468C2×C3×C4—84no—
469C2×C3×C4C22×D412yes—
470C2×C3×C4C22×D412yes—
471C2×C3×C4C22×D412yes—
472C2×C3×C4C22×D412yes—
473C2×C3×C4C22×D412yes—
474C2×C3×C4C22×D411yescharacteristic
475C2×C3×C42−1+412yes—
476C2×C3×C42−1+412yes—
477C2×C3×C4C2511yescharacteristic
478C2×Dic3—22no—
479C2×Dic3—22no—
480C2×Dic3—22no—
481C2×Dic3—22no—
482C2×Dic3—42no—
483C2×Dic3—42no—
484C2×Dic3—42no—
485C2×Dic3—42no—
486C2×Dic3—84no—
487Dic6—84no—
488Dic6—84no—
489C3⋊C8—22no—
490C3⋊C8—22no—
491C3⋊C8—22no—
492C3⋊C8—22no—
493C24—21no—
494C24C2×#6711yescharacteristic
495C2×Q8—21no—
496C2×Q8—24no—
497C2×Q8—22no—
498C2×Q8—22no—
499C2×Q8—64no—
500C2×Q8—64no—
501C2×Q8—82no—
502C2×Q8—242no—
503C2×Q8—242no—
504C2×Q8C23×D312yes—
505C2×D4—24no—
506C2×D4—22no—
507C2×D4—22no—
508C2×D4—21no—
509C2×D4—82no—
510C2×D4C23×D312yes—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—24no—
517C22×C4—61no—
518C22×C4—61no—
519C22×C4—61no—
520C22×C4—61no—
521C22×C4—64no—
522C22×C4—82no—
523C22×C4—242no—
524C22×C4C2×#6712yes—
525C22×C4C2×#6711yescharacteristic
526C22×C4C2×#6711yescharacteristic
527C22×C4C2×#6711yescharacteristic
528C22×C4C2×#6711yescharacteristic
529C22×C4C2×#6711yescharacteristic
530C22×C4C23×D312yes—
531C22×C4C23×D311yescharacteristic
532C2×C8—32no—
533C2×C8—32no—
534C2×C8—32no—
535C2×C8—32no—
536C2×C8—62no—
537C2×C8—62no—
538C2×C8—62no—
539C2×C8—62no—
540C4⋊C4—24no—
541C4⋊C4—24no—
542C4⋊C4—24no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—32no—
546C4⋊C4—32no—
547C4⋊C4—32no—
548C4⋊C4—32no—
549C4⋊C4—64no—
550C4⋊C4—61no—
551C4⋊C4—61no—
552C4⋊C4—61no—
553C4⋊C4—61no—
554C4⋊C4—64no—
555C4⋊C4—64no—
556C4⋊C4—64no—
557C4⋊C4—64no—
558C4⋊C4—64no—
559C4⋊C4—64no—
560C4⋊C4C2×#6714yes—
561C4⋊C4C2×#6714yes—
562C4⋊C4C23×D312yes—
563C4⋊C4C23×D312yes—
564C22⋊C4—24no—
565C22⋊C4—24no—
566C22⋊C4—24no—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—64no—
570C22⋊C4C2×#6714yes—
571C22⋊C4C2×#6714yes—
572C42—24no—
573C42—64no—
574C42C2×#6712yes—
575C42C2×#6712yes—
576C42C23×D312yes—
577C42C23×D312yes—
578C22×C3—22no—
579C22×C3—22no—
580C22×C3—22no—
581C22×C3—44no—
582C22×C3—42no—
583C22×C3—42no—
584C22×C3—42no—
585C22×C3—84no—
586C22×C3#53612yes—
587C22×C3#57612yes—
588C22×C3#57812yes—
589C22×C3C23×D411yescharacteristic
590C3×C4—22no—
591C3×C4—22no—
592C3×C4—22no—
593C3×C4—22no—
594C3×C4—22no—
595C3×C4—42no—
596C3×C4—42no—
597C3×C4—42no—
598C3×C4#53612yes—
599C3×C4C2×2−1+411yescharacteristic
600C3×C4C2×2−1+411yescharacteristic
601Dic3—42no—
602Dic3—42no—
603Dic3—42no—
604Dic3—42no—
605C23—22no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23C22×#6712yes—
613C23C22×#6711yescharacteristic
614Q8—22no—
615Q8—22no—
616Q8—42no—
617Q8—84no—
618Q8—244no—
619Q8—244no—
620D4—22no—
621D4—22no—
622D4—42no—
623D4—84no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—24no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—62no—
639C2×C4—62no—
640C2×C4—62no—
641C2×C4—62no—
642C2×C4—84no—
643C2×C4—122no—
644C2×C4—122no—
645C2×C4—122no—
646C2×C4—122no—
647C2×C4—244no—
648C2×C4#101012yes—
649C2×C4#101012yes—
650C2×C4C22×#6712yes—
651C2×C4C22×#6712yes—
652C2×C4C22×#6712yes—
653C2×C4C22×#6712yes—
654C2×C4C22×#6712yes—
655C2×C4C22×#6711yescharacteristic
656C2×C4C24×D311yescharacteristic
657C8—62no—
658C8—62no—
659C8—62no—
660C8—62no—
661C2×C3—42no—
662C2×C3—82no—
663C2×C3#324314yescomplemented
664C2×C3C2×#53611yescharacteristic
665C2×C3C2×#57611yescharacteristic
666C2×C3C2×#57811yescharacteristic
667C22—22no—
668C22—22no—
669C22—22no—
670C22—44no—
671C22—42no—
672C22—42no—
673C22—42no—
674C22—84no—
675C22#582512yes—
676C22#583512yes—
677C22#583812yes—
678C22C23×#6711yescharacteristic
679C4—22no—
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—42no—
685C4—42no—
686C4—42no—
687C4—122no—
688C4—122no—
689C4—122no—
690C4—122no—
691C4#582512yes—
692C4C2×#101011yescharacteristic
693C4C2×#101011yescharacteristic
694C3C2×#324311yescharacteristic, complemented, Sylow
695C2—42no—
696C2—82no—
697C2#8345414yesdirect product factor
698C2C2×#582511yescharacteristic
699C2C2×#583511yescharacteristic
700C2C2×#583811yescharacteristic
subgroupG/H
centerC23C22×#67
commutator, cosocleC2×C3×C4C25
FrattiniC2×C4C24×D3
FittingC2×C3×#542C2
socleC23×C3C22×D4
prime radicalC2×C3×#121C22
hypercenterC2×#542D3
hypocenterC3C2×#3243
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×#117 ◁ C2×#542

Complements

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

NH ≅ G/Ntype
2. C2×#5519C2semidirect
3. #83454C2direct (N × H)
4. C2×#5081C2semidirect
5. C2×#5078C2semidirect
6. C2×#5055C2semidirect
7. C2×#5056C2semidirect
8. C2×#5044C2semidirect
9. C2×#5045C2semidirect
12. C2×#5022C2semidirect
13. C2×#5021C2semidirect
14. C2×#5009C2semidirect
15. C2×#5007C2semidirect
16. C2×#5000C2semidirect
34. #5519C22semidirect
53. #5081C22semidirect
54. #5078C22semidirect
55. #5056C22semidirect
56. #5055C22semidirect
57. #5045C22semidirect
58. #5044C22semidirect
61. #5022C22semidirect
62. #5021C22semidirect
63. #5009C22semidirect
64. #5007C22semidirect
65. #5000C22semidirect
663. C2×C3#3243semidirect
694. C3C2×#3243semidirect
697. C2#83454direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#5422
C2×#55192
#834542
C2×#50812
C2×#50782
C2×#50552
C2×#50562
C2×#50442
C2×#50452
C2×#50352
C2×#50332
C2×#50222
C2×#50212
C2×#50092
C2×#50072
C2×#50002
C2×#32433