Finite Group Databasebeta

← C2×#82936 #11661908

Subgroups — C2×#82936 #11661908

Order 768.

5086 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5964C211yesmaximal, characteristic, complemented
2C2×C3×#525C211yesmaximal, characteristic, complemented
3C2×#5791C212yesmaximal, complemented
4C2×#5240C211yesmaximal, characteristic, complemented
5#82936C2116yesmaximal, direct product factor
6C2×#5053C214yesmaximal, complemented
7C2×#5032C214yesmaximal, complemented
8C2×#5006C212yesmaximal, complemented
9C2×#3025—31nomaximal, Sylow
10C22×C3×#41C2211yescharacteristic
11C24×C3×C4C2211yescharacteristic, complemented
12#5964—24no—
13#5964—28no—
14#5964C2218yescomplemented
15C2×#1010—22no—
16C2×#1009—22no—
17C2×D3×#41—24no—
18C2×#1007—21no—
19C2×#1004—21no—
20C2×#1004C2214yes—
21C22×#235—22no—
22C22×#235C2212yes—
23C3×#525—24no—
24C3×#525C2218yescomplemented
25C2×C3×#123C2212yescomplemented
26C2×C3×C22⋊Q8—21no—
27C2×C3×#121—21no—
28C2×C3×#120C2212yescomplemented
29C2×C3×C4×D4—22no—
30C2×C3×#117C2211yescharacteristic, complemented
31C2×#953C2214yescomplemented
32#5791—28no—
33#5791C22116yescomplemented
34C2×#930—22no—
35C2×#929C2214yescomplemented
36C2×C4×#67—24no—
37C2×#926C2212yescomplemented
38C2×#924—22no—
39#5240C2218yescomplemented
40C2×#834C2214yescomplemented
41#5053C22132yescomplemented
42#5032C22132yescomplemented
43#5006C22116yescomplemented
44C2×#806C2218yescomplemented
45C2×#585—31no—
46C2×#525—32no—
47C2×#525D311yescharacteristic, complemented
48#3025—316no—
49C2×#458—34no—
50C2×B(4,𝔽2)—34no—
51C2×#410—31no—
52C2×#410—32no—
53C25×C3C2311yescharacteristic
54C2×C3×#41—22no—
55C2×C3×#41—22no—
56C2×C3×#41—24no—
57C2×C3×#41D414yescomplemented
58C2×C3×#41C2314yes—
59C22×C3×Q8D411yescharacteristic, complemented
60C22×C3×D4—22no—
61C22×C3×D4D411yescharacteristic, complemented
62C22×C3×D4C2312yes—
63C23×C3×C4—22no—
64C23×C3×C4—22no—
65C23×C3×C4—24no—
66C23×C3×C4—21no—
67C23×C3×C4—21no—
68C23×C3×C4—22no—
69C23×C3×C4D412yescomplemented
70C23×C3×C4C2311yescharacteristic
71C23×C3×C4C2311yescharacteristic
72C23×C3×C4C2314yescomplemented
73C22×#67—24no—
74C22×#67—24no—
75C22×#67C2314yes—
76#1010—216no—
77#1010—216no—
78#1009—216no—
79#1009—216no—
80D3×#41—232no—
81D3×#41—232no—
82#1007—28no—
83#1007—28no—
84C2×#239—24no—
85C2×D3×Q8—24no—
86#1004—28no—
87#1004—28no—
88#1004—28no—
89#1004—216no—
90#1004C23116yes—
91C2×#237—24no—
92C2×#237—28no—
93C2×D3×D4—24no—
94C2×D3×D4—28no—
95C2×#235—24no—
96C2×#235—24no—
97C2×#235—216no—
98C2×#235—22no—
99C2×#235—24no—
100C2×#235—22no—
101C2×#235—22no—
102C2×#235—22no—
103C2×#235—24no—
104C2×#235—24no—
105C2×#235—216no—
106C2×#235D418yescomplemented
107C2×#235C2318yes—
108C22×D12—22no—
109C22×D12D412yescomplemented
110C22×C4×D3—24no—
111C22×C4×D3D414yescomplemented
112C22×Dic6—22no—
113C22×Dic6D412yescomplemented
114C3×#123—24no—
115C3×#123C2318yescomplemented
116C3×C22⋊Q8—28no—
117C3×#121—28no—
118C3×#120—24no—
119C3×#120C2318yescomplemented
120C3×C4×D4—216no—
121C3×#117—22no—
122C3×#117C2314yescomplemented
123C2×C3×C4⋊C4—21no—
124C2×C3×C4⋊C4—22no—
125C2×C3×C22⋊C4—22no—
126C2×C3×C22⋊C4—22no—
127C2×C3×C22⋊C4C2312yes—
128C2×C3×C42—21no—
129#953—28no—
130#953C23116yescomplemented
131C2×#217—24no—
132C2×#217C2314yes—
133#930—216no—
134#929—28no—
135#929C23116yescomplemented
136C4×#67—232no—
137C2×(C2×D3)⋊C4—24no—
138#926—24no—
139#926C2318yescomplemented
140C2×C4⋊Dic3—22no—
141#924—216no—
142C2×Dic3⋊C4—24no—
143C2×C4×Dic3—22no—
144#834C23116yescomplemented
145#806C23132yescomplemented
146#585—38no—
147#585—68no—
148#585—64no—
149C2×2−1+4—62no—
150C2×2−1+4—61no—
151C2×H(5,𝔽2)—34no—
152C2×H(5,𝔽2)—62no—
153C2×H(5,𝔽2)—61no—
154C22×#41—32no—
155C22×#41—64no—
156C22×#41—62no—
157C22×#41C2×D311yescharacteristic
158C24×C4C2×D311yescharacteristic, complemented
159#525—24no—
160#525—316no—
161#525—68no—
162#525C2×D318yescomplemented
163C2×#123—34no—
164C2×#123C2×D312yescomplemented
165C2×C22⋊Q8—21no—
166C2×C22⋊Q8—62no—
167C2×#121—21no—
168C2×#121—62no—
169C2×#120—34no—
170C2×#120C2×D312yescomplemented
171C2×C4×D4—22no—
172C2×C4×D4—64no—
173C2×#117—32no—
174C2×#117C2×D311yescharacteristic, complemented
175#458—332no—
176B(4,𝔽2)—332no—
177#410—38no—
178#410—316no—
179C2×#99—34no—
180C2×#99—38no—
181C24×C3—22no—
182C24×C3—21no—
183C24×C3—22no—
184C24×C3—21no—
185C24×C3—44no—
186C24×C3C2×D412yes—
187C24×C3C2412yes—
188C24×C3C2411yescharacteristic
189C23×D3—24no—
190C23×D3C2×D414yes—
191C3×#41—28no—
192C3×#41—28no—
193C3×#41—28no—
194C3×#41—28no—
195C2×C3×Q8—22no—
196C2×C3×Q8—22no—
197C2×C3×Q8C2×D414yescomplemented
198C2×C3×D4—24no—
199C2×C3×D4—24no—
200C2×C3×D4—28no—
201C2×C3×D4—22no—
202C2×C3×D4—22no—
203C2×C3×D4—48no—
204C2×C3×D4C2×D414yes—
205C2×C3×D4C2×D414yescomplemented
206C2×C3×D4C2414yes—
207C22×C3×C4—22no—
208C22×C3×C4—22no—
209C22×C3×C4—24no—
210C22×C3×C4—22no—
211C22×C3×C4—22no—
212C22×C3×C4—22no—
213C22×C3×C4—21no—
214C22×C3×C4—21no—
215C22×C3×C4—28no—
216C22×C3×C4—28no—
217C22×C3×C4—24no—
218C22×C3×C4—24no—
219C22×C3×C4—41no—
220C22×C3×C4—42no—
221C22×C3×C4—44no—
222C22×C3×C4—44no—
223C22×C3×C4—42no—
224C22×C3×C4—42no—
225C22×C3×C4—41no—
226C22×C3×C4C2×D412yes—
227C22×C3×C4C2×D412yes—
228C22×C3×C4C2×D414yes—
229C22×C3×C4C2×D412yes—
230C22×C3×C4C2×D411yescharacteristic
231C22×C3×C4C2×D411yescharacteristic
232C22×C3×C4C2×D412yes—
233C22×C3×C4C2×D418yescomplemented
234C22×C3×C4C2412yes—
235C22×C3×C4C2412yes—
236C2×#67—28no—
237C2×#67—216no—
238C2×#67—24no—
239C2×#67—24no—
240C2×#67—24no—
241C2×#67—24no—
242C2×#67—216no—
243C2×#67—216no—
244C2×#67—416no—
245C2×#67C2×D418yes—
246C2×#67C2418yes—
247C22×Dic3—24no—
248C22×Dic3—24no—
249C22×Dic3C2×D414yes—
250#239—232no—
251D3×Q8—232no—
252#237—232no—
253#237—232no—
254#237—232no—
255D3×D4—232no—
256D3×D4—232no—
257D3×D4—232no—
258#235—216no—
259#235—232no—
260#235—232no—
261#235—28no—
262#235—28no—
263#235—28no—
264#235—28no—
265#235—28no—
266#235—216no—
267#235—28no—
268#235—28no—
269#235—28no—
270C2×D12—24no—
271C2×D12—216no—
272C2×D12—22no—
273C2×D12—22no—
274C2×D12—24no—
275C2×D12C2×D418yescomplemented
276C2×C4×D3—28no—
277C2×C4×D3—232no—
278C2×C4×D3—24no—
279C2×C4×D3—24no—
280C2×C4×D3—28no—
281C2×C4×D3C2×D4116yescomplemented
282C2×Dic6—24no—
283C2×Dic6—216no—
284C2×Dic6—22no—
285C2×Dic6—22no—
286C2×Dic6—24no—
287C2×Dic6C2×D418yescomplemented
288C3×C4⋊C4—24no—
289C3×C4⋊C4—28no—
290C3×C22⋊C4—28no—
291C3×C22⋊C4—22no—
292C3×C22⋊C4—28no—
293C3×C22⋊C4C2414yes—
294C3×C42—24no—
295#217—24no—
296#217—216no—
297#217C2418yes—
298(C2×D3)⋊C4—216no—
299C4⋊Dic3—28no—
300Dic3⋊C4—216no—
301C4×Dic3—28no—
302C25C22×D311yescharacteristic
3032−1+4—68no—
3042−1+4—616no—
3052−1+4—616no—
3062−1+4—68no—
307H(5,𝔽2)—316no—
308H(5,𝔽2)—616no—
309H(5,𝔽2)—68no—
310H(5,𝔽2)—616no—
311H(5,𝔽2)—616no—
312H(5,𝔽2)—68no—
313H(5,𝔽2)—68no—
314C2×#41—22no—
315C2×#41—22no—
316C2×#41—24no—
317C2×#41—38no—
318C2×#41—38no—
319C2×#41—64no—
320C2×#41—64no—
321C2×#41—616no—
322C2×#41—68no—
323C2×#41—632no—
324C2×#41—64no—
325C2×#41—64no—
326C2×#41—632no—
327C2×#41—62no—
328C2×#41—62no—
329C2×#41—64no—
330C2×#41—62no—
331C2×#41—62no—
332C2×#41—64no—
333C2×#41—64no—
334C2×#41—616no—
335C2×#41#6714yescomplemented
336C2×#41C22×D314yes—
337C22×Q8—32no—
338C22×Q8—62no—
339C22×Q8—64no—
340C22×Q8#6711yescharacteristic, complemented
341C22×D4—22no—
342C22×D4—34no—
343C22×D4—32no—
344C22×D4—62no—
345C22×D4—68no—
346C22×D4—64no—
347C22×D4—64no—
348C22×D4—64no—
349C22×D4#6711yescharacteristic, complemented
350C22×D4C22×D312yes—
351C23×C4—22no—
352C23×C4—22no—
353C23×C4—24no—
354C23×C4—21no—
355C23×C4—21no—
356C23×C4—22no—
357C23×C4—34no—
358C23×C4—64no—
359C23×C4#6712yescomplemented
360C23×C4C22×D311yescharacteristic
361C23×C4C22×D311yescharacteristic
362C23×C4C22×D314yescomplemented
363#123—24no—
364#123—316no—
365#123—68no—
366#123C22×D318yescomplemented
367C22⋊Q8—28no—
368C22⋊Q8—616no—
369#121—28no—
370#121—616no—
371#120—24no—
372#120—316no—
373#120—68no—
374#120C22×D318yescomplemented
375C4×D4—216no—
376C4×D4—632no—
377#117—22no—
378#117—38no—
379#117—64no—
380#117C22×D314yescomplemented
381C2×C4⋊C4—21no—
382C2×C4⋊C4—22no—
383C2×C4⋊C4—64no—
384C2×C4⋊C4—62no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—22no—
387C2×C22⋊C4—34no—
388C2×C22⋊C4—64no—
389C2×C22⋊C4—64no—
390C2×C22⋊C4C22×D312yes—
391C2×C42—21no—
392C2×C42—62no—
393#99—316no—
394#99—332no—
395C23×C3—28no—
396C23×C3—24no—
397C23×C3—22no—
398C23×C3—24no—
399C23×C3—22no—
400C23×C3—22no—
401C23×C3—42no—
402C23×C3—44no—
403C23×C3—44no—
404C23×C3—42no—
405C23×C3—48no—
406C23×C3—44no—
407C23×C3—44no—
408C23×C3—42no—
409C23×C3—41no—
410C23×C3—41no—
411C23×C3C22×D412yes—
412C23×C3C22×D412yes—
413C23×C3C22×D411yescharacteristic
414C23×C3C22×D414yes—
415C23×C3C22×D411yescharacteristic
416C23×C3C2511yescharacteristic
417C22×D3—24no—
418C22×D3—216no—
419C22×D3—24no—
420C22×D3—48no—
421C22×D3—88no—
422C22×D3C22×D418yes—
423C3×Q8—28no—
424C3×D4—28no—
425C3×D4—28no—
426C3×D4—28no—
427C3×D4—416no—
428C2×C3×C4—22no—
429C2×C3×C4—22no—
430C2×C3×C4—28no—
431C2×C3×C4—28no—
432C2×C3×C4—24no—
433C2×C3×C4—24no—
434C2×C3×C4—22no—
435C2×C3×C4—44no—
436C2×C3×C4—42no—
437C2×C3×C4—41no—
438C2×C3×C4—41no—
439C2×C3×C4—44no—
440C2×C3×C4—48no—
441C2×C3×C4—44no—
442C2×C3×C4#12011yescharacteristic
443C2×C3×C4#12012yes—
444C2×C3×C4#12014yes—
445C2×C3×C4#12014yes—
446C2×C3×C4#12012yes—
447C2×C3×C4#12012yes—
448C2×C3×C4#12011yescharacteristic
449C2×C3×C4C22×D414yes—
450C2×C3×C4C22×D414yes—
451C2×C3×C4C22×D414yes—
452C2×C3×C4C22×D412yes—
453C2×C3×C4C22×D412yes—
454#67—232no—
455#67—28no—
456#67—28no—
457#67—28no—
458#67—28no—
459#67—432no—
460C2×Dic3—216no—
461C2×Dic3—24no—
462C2×Dic3—24no—
463C2×Dic3—28no—
464C2×Dic3—48no—
465C2×Dic3C22×D418yes—
466D12—216no—
467D12—28no—
468D12—28no—
469C4×D3—232no—
470C4×D3—216no—
471C4×D3—216no—
472Dic6—216no—
473Dic6—28no—
474Dic6—28no—
475C24—22no—
476C24—21no—
477C24—22no—
478C24—21no—
479C24—34no—
480C24—44no—
481C24—64no—
482C24C2×#6712yes—
483C24C23×D312yes—
484C24C23×D311yescharacteristic
485#41—28no—
486#41—28no—
487#41—28no—
488#41—28no—
489#41—632no—
490#41—616no—
491#41—632no—
492#41—632no—
493#41—632no—
494#41—632no—
495#41—632no—
496#41—68no—
497#41—68no—
498#41—68no—
499#41—68no—
500#41—68no—
501#41—68no—
502#41—68no—
503#41—68no—
504#41—616no—
505C2×Q8—22no—
506C2×Q8—22no—
507C2×Q8—38no—
508C2×Q8—64no—
509C2×Q8—616no—
510C2×Q8—632no—
511C2×Q8—62no—
512C2×Q8—62no—
513C2×Q8—64no—
514C2×Q8C2×#6714yescomplemented
515C2×D4—24no—
516C2×D4—24no—
517C2×D4—28no—
518C2×D4—22no—
519C2×D4—22no—
520C2×D4—38no—
521C2×D4—38no—
522C2×D4—38no—
523C2×D4—48no—
524C2×D4—64no—
525C2×D4—616no—
526C2×D4—632no—
527C2×D4—632no—
528C2×D4—632no—
529C2×D4—68no—
530C2×D4—616no—
531C2×D4—64no—
532C2×D4—64no—
533C2×D4—64no—
534C2×D4—64no—
535C2×D4—616no—
536C2×D4—616no—
537C2×D4—62no—
538C2×D4—62no—
539C2×D4—64no—
540C2×D4—1216no—
541C2×D4C2×#6714yes—
542C2×D4C2×#6714yescomplemented
543C2×D4C23×D314yes—
544C22×C4—22no—
545C22×C4—24no—
546C22×C4—22no—
547C22×C4—22no—
548C22×C4—22no—
549C22×C4—22no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—28no—
553C22×C4—28no—
554C22×C4—24no—
555C22×C4—24no—
556C22×C4—34no—
557C22×C4—316no—
558C22×C4—41no—
559C22×C4—42no—
560C22×C4—42no—
561C22×C4—44no—
562C22×C4—42no—
563C22×C4—44no—
564C22×C4—41no—
565C22×C4—68no—
566C22×C4—632no—
567C22×C4—64no—
568C22×C4—64no—
569C22×C4—68no—
570C22×C4—64no—
571C22×C4—64no—
572C22×C4D3×D412yes—
573C22×C4D3×D414yes—
574C22×C4D3×D412yes—
575C22×C4C2×#6712yes—
576C22×C4C2×#6711yescharacteristic
577C22×C4C2×#6712yes—
578C22×C4C2×#6711yescharacteristic
579C22×C4C2×#6718yescomplemented
580C22×C4C23×D312yes—
581C22×C4C23×D312yes—
582C4⋊C4—24no—
583C4⋊C4—28no—
584C4⋊C4—616no—
585C4⋊C4—68no—
586C22⋊C4—28no—
587C22⋊C4—22no—
588C22⋊C4—28no—
589C22⋊C4—38no—
590C22⋊C4—616no—
591C22⋊C4—616no—
592C22⋊C4—64no—
593C22⋊C4C23×D314yes—
594C42—24no—
595C42—68no—
596C22×C3—24no—
597C22×C3—22no—
598C22×C3—28no—
599C22×C3—24no—
600C22×C3—24no—
601C22×C3—42no—
602C22×C3—41no—
603C22×C3—41no—
604C22×C3—44no—
605C22×C3—44no—
606C22×C3—42no—
607C22×C3—48no—
608C22×C3—44no—
609C22×C3—42no—
610C22×C3—44no—
611C22×C3—44no—
612C22×C3—82no—
613C22×C3C2×#12012yes—
614C22×C3C2×#12011yescharacteristic
615C22×C3C2×#12011yescharacteristic
616C22×C3C23×D412yes—
617C22×C3C23×D411yescharacteristic
618C2×D3—28no—
619C2×D3—48no—
620C2×D3—48no—
621C2×D3—84no—
622C2×D3—816no—
623C3×C4—24no—
624C3×C4—44no—
625C3×C4—42no—
626C3×C4C2×#12012yes—
627C3×C4C2×#12014yes—
628C3×C4C2×#12012yes—
629Dic3—28no—
630Dic3—48no—
631C23—24no—
632C23—28no—
633C23—24no—
634C23—22no—
635C23—22no—
636C23—22no—
637C23—38no—
638C23—42no—
639C23—44no—
640C23—42no—
641C23—44no—
642C23—44no—
643C23—48no—
644C23—44no—
645C23—41no—
646C23—42no—
647C23—41no—
648C23—616no—
649C23—64no—
650C23—64no—
651C23—128no—
652C23—248no—
653C23C2×D3×D412yes—
654C23C2×D3×D412yes—
655C23C22×#6711yescharacteristic
656C23C22×#6714yes—
657C23C22×#6711yescharacteristic
658C23C24×D311yescharacteristic
659Q8—28no—
660Q8—616no—
661Q8—68no—
662Q8—68no—
663D4—28no—
664D4—28no—
665D4—28no—
666D4—416no—
667D4—616no—
668D4—632no—
669D4—68no—
670D4—68no—
671D4—68no—
672D4—68no—
673D4—68no—
674D4—68no—
675D4—1232no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—28no—
679C2×C4—28no—
680C2×C4—24no—
681C2×C4—24no—
682C2×C4—22no—
683C2×C4—38no—
684C2×C4—44no—
685C2×C4—41no—
686C2×C4—42no—
687C2×C4—41no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—48no—
691C2×C4—632no—
692C2×C4—616no—
693C2×C4—64no—
694C2×C4—64no—
695C2×C4—616no—
696C2×C4—616no—
697C2×C4—68no—
698C2×C4—128no—
699C2×C4#93711yescharacteristic
700C2×C4#93712yes—
701C2×C4#93712yes—
702C2×C4#93714yes—
703C2×C4#93712yes—
704C2×C4#93714yes—
705C2×C4#93711yescharacteristic
706C2×C4C2×D3×D414yes—
707C2×C4C2×D3×D414yes—
708C2×C4C22×#6714yes—
709C2×C4C22×#6712yes—
710C2×C4C22×#6712yes—
711C2×C3—22no—
712C2×C3—21no—
713C2×C3—22no—
714C2×C3—21no—
715C2×C3—44no—
716C2×C3—44no—
717C2×C3#302512yescomplemented
718C2×C3C22×#12011yescharacteristic
719D3—48no—
720C22—22no—
721C22—24no—
722C22—24no—
723C22—28no—
724C22—24no—
725C22—42no—
726C22—41no—
727C22—41no—
728C22—44no—
729C22—42no—
730C22—44no—
731C22—44no—
732C22—48no—
733C22—42no—
734C22—44no—
735C22—44no—
736C22—68no—
737C22—82no—
738C22—128no—
739C22—128no—
740C22—244no—
741C22—2416no—
742C22C2×#93711yescharacteristic
743C22C2×#93712yes—
744C22C2×#93711yescharacteristic
745C22C22×D3×D412yes—
746C22C23×#6711yescharacteristic
747C4—24no—
748C4—44no—
749C4—42no—
750C4—68no—
751C4—128no—
752C4C2×#93712yes—
753C4C2×#93712yes—
754C4C2×#93714yes—
755C3C2×#302511yescharacteristic, complemented, Sylow
756C2—21no—
757C2—22no—
758C2—21no—
759C2—22no—
760C2—44no—
761C2—44no—
762C2—128no—
763C2#8293612yesdirect product factor
764C2C22×#93711yescharacteristic
subgroupG/H
centerC2×C4#937
commutator, cosocleC23×C3C25
FrattiniC23C24×D3
FittingC2×C3×#525C2
socleC22×C3C2×#120
hypercenterC2×#525D3
hypocenterC3C2×#3025
LCSG ▷ C23×C3 ▷ C2×C3 ▷ C3
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C2×#525

Complements

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

NH ≅ G/Ntype
1. C2×#5964C2semidirect
2. C2×C3×#525C2semidirect
3. C2×#5791C2semidirect
4. C2×#5240C2semidirect
5. #82936C2direct (N × H)
6. C2×#5053C2semidirect
7. C2×#5032C2semidirect
8. C2×#5006C2semidirect
11. C24×C3×C4C22semidirect
14. #5964C22semidirect
24. C3×#525C22semidirect
25. C2×C3×#123C22semidirect
28. C2×C3×#120C22semidirect
30. C2×C3×#117C22semidirect
31. C2×#953C22semidirect
33. #5791C22semidirect
35. C2×#929C22semidirect
37. C2×#926C22semidirect
39. #5240C22semidirect
40. C2×#834C22semidirect
41. #5053C22semidirect
42. #5032C22semidirect
43. #5006C22semidirect
44. C2×#806C22semidirect
47. C2×#525D3semidirect
57. C2×C3×#41D4semidirect
59. C22×C3×Q8D4semidirect
61. C22×C3×D4D4semidirect
69. C23×C3×C4D4semidirect
72. C23×C3×C4C23semidirect
106. C2×#235D4semidirect
109. C22×D12D4semidirect
111. C22×C4×D3D4semidirect
113. C22×Dic6D4semidirect
115. C3×#123C23semidirect
119. C3×#120C23semidirect
122. C3×#117C23semidirect
130. #953C23semidirect
135. #929C23semidirect
139. #926C23semidirect
144. #834C23semidirect
145. #806C23semidirect
158. C24×C4C2×D3semidirect
162. #525C2×D3semidirect
164. C2×#123C2×D3semidirect
170. C2×#120C2×D3semidirect
174. C2×#117C2×D3semidirect
197. C2×C3×Q8C2×D4semidirect
205. C2×C3×D4C2×D4semidirect
233. C22×C3×C4C2×D4semidirect
275. C2×D12C2×D4semidirect
281. C2×C4×D3C2×D4semidirect
287. C2×Dic6C2×D4semidirect
335. C2×#41#67semidirect
340. C22×Q8#67semidirect
349. C22×D4#67semidirect
359. C23×C4#67semidirect
362. C23×C4C22×D3semidirect
366. #123C22×D3semidirect
374. #120C22×D3semidirect
380. #117C22×D3semidirect
514. C2×Q8C2×#67semidirect
542. C2×D4C2×#67semidirect
579. C22×C4C2×#67semidirect
717. C2×C3#3025semidirect
755. C3C2×#3025semidirect
763. C2#82936direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#59642
C2×C3×#5252
C2×#57912
C2×#52402
#829362
C2×#50532
C2×#50322
C2×#50062
C2×#30253