Finite Group Databasebeta

← C4×#4742 #10801178

Subgroups — C4×#4742 #10801178

Order 768.

1538 conjugacy classes of subgroups.

The subgroup lattice has 760 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×#1004C211yesmaximal, characteristic
2C4×#935C211yesmaximal, characteristic, complemented
3C2×#4742C211yesmaximal, characteristic
4C4×#886C212yesmaximal, complemented
5C3×C4×#99C211yesmaximal, characteristic, complemented
6#70033C211yesmaximal, characteristic
7#70023C211yesmaximal, characteristic, complemented
8#70021C211yesmaximal, characteristic, complemented
9C4×#806C212yesmaximal, complemented
10#68963C212yesmaximal, complemented
11#68961C212yesmaximal, complemented
12C4×#458—31nomaximal, Sylow
13C2×#1004C2211yescharacteristic
14C2×C3×C4×D4C2211yescharacteristic
15#5798C2211yescharacteristic
16C2×#935C2211yescharacteristic
17C2×C4×#67—21no—
18C2×C4×#67C2212yes—
19C22×C4×Dic3C2211yescharacteristic, complemented
20#5546—22no—
21#5545—22no—
22C4×D3×D4—22no—
23C4×#237—22no—
24#5504—21no—
25C2×#886C2212yes—
26#5486—21no—
27#5486C2212yes—
28C4×#235—21no—
29C2×C3×#99C2211yescharacteristic
30C2×C3×#99C2211yescharacteristic
31C3×C4×C22⋊C4C2212yescomplemented
32#5220C2211yescharacteristic
33C4×#217—21no—
34C4×#217C2211yescharacteristic, complemented
35#4978—21no—
36#4958C2212yes—
37C2×#806C2212yes—
38C2×#806C2212yes—
39#4950C2212yescomplemented
40#4946C2211yescharacteristic, complemented
41#4944—21no—
42#4943C2211yescharacteristic, complemented
43#4943C2212yescomplemented
44C4×(C2×D3)⋊C4—22no—
45C4×C4⋊Dic3—22no—
46C4×Dic3⋊C4—21no—
47#4742C418yesdirect product factor
48#4670—22no—
49#4653—22no—
50C3×#342C2212yescomplemented
51#4527C2212yescomplemented
52#4527C2212yescomplemented
53C4×H(5,𝔽2)—31no—
54C2×#458—31no—
55C4×#123—32no—
56C4×#123—31no—
57#1890—31no—
58#1890—32no—
59#1867—31no—
60#1867—32no—
61#1790—31no—
62C4×#99—32no—
63C4×#99D311yescharacteristic, complemented
64C22×C3×D4C2311yescharacteristic
65C23×C3×C4D411yescharacteristic
66C23×C3×C4C2311yescharacteristic
67C22×#67—21no—
68C22×#67C2312yes—
69C23×Dic3C2311yescharacteristic
70C23×Dic3C2311yescharacteristic
71#1004—22no—
72#1004—24no—
73#1004C2×C414yes—
74C2×#237—22no—
75C2×D3×D4—22no—
76C2×#235—21no—
77C22×C4×D3—21no—
78C22×C4×D3D412yes—
79C3×C4×D4—22no—
80C3×C4×D4—22no—
81C2×C3×C4⋊C4D411yescharacteristic
82C2×C3×C22⋊C4D411yescharacteristic
83C2×C3×C22⋊C4C2312yes—
84C2×C3×C22⋊C4C2311yescharacteristic
85C2×C3×C22⋊C4C2312yes—
86C2×C3×C42—22no—
87C2×C3×C42D411yescharacteristic
88C2×#217—21no—
89C2×#217—21no—
90C2×#217—21no—
91C2×#217C2311yescharacteristic
92C2×#217C2312yes—
93C2×#217C2311yescharacteristic
94#935—22no—
95#935C2×C414yescomplemented
96D4×Dic3—22no—
97D4×Dic3—22no—
98C4×#67—22no—
99C4×#67—22no—
100C4×#67—22no—
101C4×#67—22no—
102C4×#67—22no—
103C4×#67—22no—
104C4×#67—22no—
105C4×#67—22no—
106C2×(C2×D3)⋊C4—21no—
107C2×(C2×D3)⋊C4—22no—
108C2×(C2×D3)⋊C4—22no—
109C2×(C2×D3)⋊C4D412yes—
110#926—21no—
111C2×C4⋊Dic3—22no—
112C2×C4⋊Dic3—22no—
113C2×Dic3⋊C4—21no—
114C2×Dic3⋊C4—21no—
115C2×Dic3⋊C4—21no—
116C2×Dic3⋊C4D412yes—
117C2×C4×Dic3—21no—
118C2×C4×Dic3—22no—
119C2×C4×Dic3—21no—
120C2×C4×Dic3—21no—
121C2×C4×Dic3—22no—
122C2×C4×Dic3—21no—
123C2×C4×Dic3D412yes—
124#893—22no—
125#892—22no—
126D3×C4⋊C4—22no—
127#887—22no—
128#886—24no—
129#886C2×C418yescomplemented
130#67⋊C4—22no—
131#67⋊C4—22no—
132#67⋊C4—22no—
133#67⋊C4—22no—
134D3×C22⋊C4—22no—
135D3×C22⋊C4—22no—
136#877—22no—
137#877—22no—
138C4×D12—21no—
139C4×D12—21no—
140#872—22no—
141C42×D3—22no—
142C4×Dic6—21no—
143C4×Dic6—21no—
144C3×#99—22no—
145C3×#99C2×C414yescomplemented
146C3×#95—22no—
147C3⋊#95—21no—
148C3⋊#95—21no—
149C3⋊#95—21no—
150C3⋊#95—21no—
151C3⋊#95—21no—
152C3⋊#95—22no—
153C3⋊#95—22no—
154C3⋊#95—22no—
155C3⋊#95—22no—
156#806—24no—
157#806C2×C418yescomplemented
158C2×H(5,𝔽2)—31no—
159C2×#123—31no—
160C2×#123—32no—
161#520—62no—
162#520—61no—
163#518—31no—
164#518—32no—
165#518—62no—
166#518—61no—
167C4×#41—62no—
168C4×#41—61no—
169C2×C4×D4—32no—
170C2×C4×D4—62no—
171C2×C4×D4—61no—
172C2×C4×D4C2×D311yescharacteristic
173C22×C42—31no—
174#458—38no—
175C2×#99—32no—
176C2×#99—32no—
177C2×#99C2×D311yescharacteristic
178C2×#99C2×D311yescharacteristic
179#388—62no—
180#388—61no—
181#387—62no—
182#387—61no—
183#386—31no—
184#386—32no—
185#385—31no—
186#385—32no—
187#381—32no—
188#381—31no—
189C4×C4⋊C4—62no—
190C4×C4⋊C4—61no—
191C4×C22⋊C4—31no—
192C4×C22⋊C4—62no—
193C4×C22⋊C4—61no—
194C4×C22⋊C4C2×D312yescomplemented
195#342—32no—
196#342—32no—
197#342C2×D312yescomplemented
198C24×C3C2×D411yescharacteristic
199C24×C3C2411yescharacteristic
200C23×D3—21no—
201C23×D3C2×D412yes—
202C2×C3×D4—22no—
203C2×C3×D4—22no—
204C2×C3×D4C22×C412yes—
205C2×C3×D4#4112yes—
206C22×C3×C4—22no—
207C22×C3×C4—21no—
208C22×C3×C4—21no—
209C22×C3×C4—22no—
210C22×C3×C4—42no—
211C22×C3×C4—42no—
212C22×C3×C4C2×D411yescharacteristic
213C22×C3×C4C2×D411yescharacteristic
214C22×C3×C4C2×D411yescharacteristic
215C22×C3×C4C2×D411yescharacteristic
216C22×C3×C4C2×D411yescharacteristic
217C22×C3×C4C2×D412yes—
218C22×C3×C4C2×D412yes—
219C2×#67—22no—
220C2×#67—24no—
221C2×#67—24no—
222C2×#67—22no—
223C2×#67—22no—
224C2×#67—22no—
225C2×#67—22no—
226C2×#67C22×C414yes—
227C2×#67#4114yes—
228C22×Dic3—21no—
229C22×Dic3—21no—
230C22×Dic3—21no—
231C22×Dic3—22no—
232C22×Dic3—22no—
233C22×Dic3—21no—
234C22×Dic3—22no—
235C22×Dic3—21no—
236C22×Dic3—21no—
237C22×Dic3—21no—
238C22×Dic3—21no—
239C22×Dic3—42no—
240C22×Dic3C22×C412yescomplemented
241C22×Dic3C2×D412yes—
242C22×Dic3C2×D412yes—
243C22×Dic3C2×D412yes—
244#237—28no—
245#237—28no—
246D3×D4—28no—
247D3×D4—28no—
248#235—24no—
249#235—24no—
250C2×D12—21no—
251C2×C4×D3—22no—
252C2×C4×D3—22no—
253C2×C4×D3—22no—
254C2×C4×D3—22no—
255C2×C4×D3—22no—
256C2×C4×D3—44no—
257C2×C4×D3—82no—
258C2×Dic6—21no—
259C3×C4⋊C4—22no—
260C3×C22⋊C4—22no—
261C3×C22⋊C4—22no—
262C3×C22⋊C4—22no—
263C3×C22⋊C4—22no—
264C3×C22⋊C4—22no—
265C3×C22⋊C4C22×C414yescomplemented
266C3×C42—21no—
267C3×C42—21no—
268C3×C42—44no—
269#217—22no—
270#217—24no—
271#217—22no—
272#217—22no—
273#217—21no—
274#217—22no—
275#217—42no—
276#217C22×C412yescomplemented
277(C2×D3)⋊C4—22no—
278(C2×D3)⋊C4—22no—
279(C2×D3)⋊C4—28no—
280(C2×D3)⋊C4—22no—
281(C2×D3)⋊C4—22no—
282(C2×D3)⋊C4—44no—
283C4⋊Dic3—21no—
284C4⋊Dic3—21no—
285C4⋊Dic3—28no—
286C4⋊Dic3—44no—
287Dic3⋊C4—22no—
288Dic3⋊C4—22no—
289Dic3⋊C4—24no—
290Dic3⋊C4—22no—
291Dic3⋊C4—22no—
292Dic3⋊C4—42no—
293C4×Dic3—22no—
294C4×Dic3—22no—
295C4×Dic3—22no—
296C4×Dic3—22no—
297C4×Dic3—22no—
298C4×Dic3—42no—
299C4×Dic3—42no—
300C4×Dic3—41no—
301C4×Dic3—41no—
302H(5,𝔽2)—34no—
303H(5,𝔽2)—64no—
304H(5,𝔽2)—62no—
305C2×#41—62no—
306C2×#41—61no—
307C22×D4—32no—
308C22×D4—62no—
309C22×D4—61no—
310C22×D4C22×D311yescharacteristic
311C23×C4—31no—
312C23×C4—32no—
313C23×C4—31no—
314C23×C4—61no—
315C23×C4D1211yescharacteristic
316C23×C4C22×D311yescharacteristic
317#123—34no—
318#123—38no—
319#123—64no—
320#123—62no—
321C4×Q8—61no—
322C4×Q8—61no—
323C4×Q8—62no—
324C4×D4—22no—
325C4×D4—22no—
326C4×D4—61no—
327C4×D4—61no—
328C4×D4—62no—
329C4×D4—62no—
330C4×D4—62no—
331C4×D4—62no—
332C4×D4—62no—
333C4×D4—62no—
334C4×D4—62no—
335C4×D4—62no—
336C4×D4—62no—
337C4×D4—62no—
338C4×D4—62no—
339C4×D4—62no—
340C4×D4—62no—
341C4×D4—62no—
342C4×D4—62no—
343#117—62no—
344#117—62no—
345#117—62no—
346#117—62no—
347#117—61no—
348C2×C4⋊C4—32no—
349C2×C4⋊C4—62no—
350C2×C4⋊C4—62no—
351C2×C4⋊C4—61no—
352C2×C4⋊C4—61no—
353C2×C4⋊C4—62no—
354C2×C4⋊C4—61no—
355C2×C4⋊C4D1211yescharacteristic
356C2×C22⋊C4—31no—
357C2×C22⋊C4—32no—
358C2×C22⋊C4—32no—
359C2×C22⋊C4—31no—
360C2×C22⋊C4—62no—
361C2×C22⋊C4—62no—
362C2×C22⋊C4—62no—
363C2×C22⋊C4—61no—
364C2×C22⋊C4—61no—
365C2×C22⋊C4—61no—
366C2×C22⋊C4—62no—
367C2×C22⋊C4—61no—
368C2×C22⋊C4D1211yescharacteristic
369C2×C22⋊C4C22×D312yes—
370C2×C22⋊C4C22×D311yescharacteristic
371C2×C22⋊C4C22×D312yes—
372C2×C42—22no—
373C2×C42—32no—
374C2×C42—62no—
375C2×C42—61no—
376C2×C42—61no—
377C2×C42—61no—
378C2×C42—61no—
379C2×C42—62no—
380C2×C42—62no—
381C2×C42D1211yescharacteristic
382#99—22no—
383#99—38no—
384#99—64no—
385#99C4×D314yescomplemented
386#95—22no—
387#95—62no—
388#95—62no—
389#95—62no—
390#95—62no—
391#95—61no—
392#95—61no—
393#95—61no—
394#95—61no—
395#95—61no—
396C23×C3—21no—
397C23×C3—21no—
398C23×C3—41no—
399C23×C3—41no—
400C23×C3—41no—
401C23×C3—41no—
402C23×C3C4×D412yes—
403C23×C3C23×C411yescharacteristic
404C23×C3C22×D411yescharacteristic
405C23×C3C22×D412yes—
406C23×C3C2×#4111yescharacteristic
407C23×C3C2×#4112yes—
408C22×D3—22no—
409C22×D3—24no—
410C22×D3—22no—
411C22×D3—42no—
412C22×D3—42no—
413C22×D3—81no—
414C22×D3—81no—
415C22×D3C4×D414yes—
416C3×D4—24no—
417C3×D4—24no—
418C2×C3×C4—21no—
419C2×C3×C4—21no—
420C2×C3×C4—22no—
421C2×C3×C4—24no—
422C2×C3×C4—24no—
423C2×C3×C4—21no—
424C2×C3×C4—21no—
425C2×C3×C4—41no—
426C2×C3×C4—42no—
427C2×C3×C4—42no—
428C2×C3×C4—42no—
429C2×C3×C4—42no—
430C2×C3×C4—41no—
431C2×C3×C4—41no—
432C2×C3×C4—42no—
433C2×C3×C4—42no—
434C2×C3×C4—42no—
435C2×C3×C4—81no—
436C2×C3×C4C4×D412yes—
437C2×C3×C4#12012yes—
438C2×C3×C4#12011yescharacteristic
439C2×C3×C4#12011yescharacteristic
440#67—28no—
441#67—24no—
442#67—24no—
443#67—24no—
444#67—24no—
445C2×Dic3—24no—
446C2×Dic3—22no—
447C2×Dic3—22no—
448C2×Dic3—22no—
449C2×Dic3—24no—
450C2×Dic3—22no—
451C2×Dic3—22no—
452C2×Dic3—24no—
453C2×Dic3—22no—
454C2×Dic3—22no—
455C2×Dic3—41no—
456C2×Dic3—41no—
457C2×Dic3—41no—
458C2×Dic3—42no—
459C2×Dic3—41no—
460C2×Dic3—41no—
461C2×Dic3—41no—
462C2×Dic3—42no—
463C2×Dic3—42no—
464C2×Dic3—42no—
465C2×Dic3—41no—
466C2×Dic3—41no—
467C2×Dic3—41no—
468C2×Dic3—81no—
469C2×Dic3—81no—
470C2×Dic3C4×D414yes—
471D12—24no—
472C4×D3—28no—
473C4×D3—44no—
474C4×D3—82no—
475C4×D3—82no—
476C4×D3—82no—
477Dic6—24no—
478C24—32no—
479C24—61no—
480C24C2×D1211yescharacteristic
481C24C23×D311yescharacteristic
482#41—64no—
483#41—68no—
484#41—68no—
485#41—64no—
486C2×Q8—61no—
487C2×D4—22no—
488C2×D4—22no—
489C2×D4—34no—
490C2×D4—34no—
491C2×D4—61no—
492C2×D4—68no—
493C2×D4—68no—
494C2×D4—62no—
495C2×D4—64no—
496C2×D4—64no—
497C2×D4—62no—
498C2×D4—62no—
499C2×D4—62no—
500C2×D4—62no—
501C2×D4C2×C4×D312yes—
502C2×D4#23512yes—
503C22×C4—22no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—22no—
507C22×C4—32no—
508C22×C4—32no—
509C22×C4—32no—
510C22×C4—32no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—62no—
514C22×C4—62no—
515C22×C4—62no—
516C22×C4—61no—
517C22×C4—61no—
518C22×C4—61no—
519C22×C4—61no—
520C22×C4—61no—
521C22×C4—62no—
522C22×C4—62no—
523C22×C4—62no—
524C22×C4—61no—
525C22×C4—61no—
526C22×C4—62no—
527C22×C4—62no—
528C22×C4—61no—
529C22×C4—124no—
530C22×C4—122no—
531C22×C4—242no—
532C22×C4C2×D1211yescharacteristic
533C22×C4C2×D1211yescharacteristic
534C22×C4C2×D1211yescharacteristic
535C22×C4C2×D1211yescharacteristic
536C22×C4C2×D1211yescharacteristic
537C22×C4D3×D412yes—
538C22×C4D3×D412yes—
539C4⋊C4—22no—
540C4⋊C4—68no—
541C4⋊C4—62no—
542C4⋊C4—61no—
543C4⋊C4—62no—
544C4⋊C4—61no—
545C4⋊C4—64no—
546C4⋊C4—62no—
547C4⋊C4—62no—
548C4⋊C4—122no—
549C4⋊C4—124no—
550C22⋊C4—22no—
551C22⋊C4—22no—
552C22⋊C4—22no—
553C22⋊C4—22no—
554C22⋊C4—22no—
555C22⋊C4—32no—
556C22⋊C4—68no—
557C22⋊C4—62no—
558C22⋊C4—62no—
559C22⋊C4—62no—
560C22⋊C4—64no—
561C22⋊C4—62no—
562C22⋊C4—61no—
563C22⋊C4—62no—
564C22⋊C4—62no—
565C22⋊C4—62no—
566C22⋊C4—62no—
567C22⋊C4—124no—
568C22⋊C4—122no—
569C22⋊C4C2×C4×D314yescomplemented
570C42—21no—
571C42—21no—
572C42—44no—
573C42—62no—
574C42—62no—
575C42—62no—
576C42—62no—
577C42—62no—
578C42—122no—
579C42—121no—
580C42—122no—
581C42—121no—
582C22×C3—21no—
583C22×C3—22no—
584C22×C3—21no—
585C22×C3—22no—
586C22×C3—22no—
587C22×C3—41no—
588C22×C3—41no—
589C22×C3—42no—
590C22×C3—42no—
591C22×C3—41no—
592C22×C3—41no—
593C22×C3—81no—
594C22×C3C2×C4×D411yescharacteristic
595C22×C3C2×C4×D412yes—
596C22×C3C2×#12011yescharacteristic
597C22×C3#52511yescharacteristic
598C22×C3#52512yes—
599C2×D3—24no—
600C2×D3—42no—
601C2×D3—42no—
602C2×D3—44no—
603C2×D3—82no—
604C2×D3—84no—
605C3×C4—22no—
606C3×C4—21no—
607C3×C4—22no—
608C3×C4—44no—
609C3×C4—41no—
610C3×C4—41no—
611C3×C4—82no—
612C3×C4#45812yescomplemented
613Dic3—24no—
614Dic3—42no—
615Dic3—42no—
616Dic3—42no—
617Dic3—42no—
618Dic3—42no—
619Dic3—81no—
620C23—21no—
621C23—21no—
622C23—34no—
623C23—41no—
624C23—41no—
625C23—41no—
626C23—41no—
627C23—64no—
628C23—62no—
629C23—62no—
630C23—122no—
631C23—122no—
632C23—241no—
633C23—241no—
634C23C4×D1212yes—
635C23C22×C4×D311yescharacteristic
636C23C22×D1211yescharacteristic
637C23C2×#23511yescharacteristic
638C23C2×D3×D412yes—
639C23D3×#4112yes—
640Q8—64no—
641D4—24no—
642D4—24no—
643D4—64no—
644D4—68no—
645D4—64no—
646D4—64no—
647D4—64no—
648D4—64no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—24no—
652C2×C4—22no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—24no—
656C2×C4—34no—
657C2×C4—41no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—68no—
668C2×C4—64no—
669C2×C4—62no—
670C2×C4—62no—
671C2×C4—64no—
672C2×C4—62no—
673C2×C4—62no—
674C2×C4—62no—
675C2×C4—62no—
676C2×C4—62no—
677C2×C4—64no—
678C2×C4—81no—
679C2×C4—121no—
680C2×C4—121no—
681C2×C4—122no—
682C2×C4—121no—
683C2×C4—121no—
684C2×C4—121no—
685C2×C4—121no—
686C2×C4—122no—
687C2×C4—124no—
688C2×C4—122no—
689C2×C4—122no—
690C2×C4—121no—
691C2×C4—121no—
692C2×C4—121no—
693C2×C4—242no—
694C2×C4—242no—
695C2×C4—242no—
696C2×C4—241no—
697C2×C4—241no—
698C2×C4C4×D1212yes—
699C2×C4#88211yescharacteristic
700C2×C4#88212yes—
701C2×C4#88211yescharacteristic
702C2×C3—21no—
703C2×C3—21no—
704C2×C3—22no—
705C2×C3—22no—
706C2×C3—42no—
707C2×C3C4×#12011yescharacteristic
708C2×C3C2×#45811yescharacteristic
709C2×C3#302511yescharacteristic
710D3—44no—
711C22—22no—
712C22—21no—
713C22—22no—
714C22—21no—
715C22—22no—
716C22—41no—
717C22—41no—
718C22—42no—
719C22—42no—
720C22—41no—
721C22—41no—
722C22—64no—
723C22—81no—
724C22—124no—
725C22—122no—
726C22—122no—
727C22—242no—
728C22—244no—
729C22C2×C4×D1211yescharacteristic
730C22C2×#88211yescharacteristic
731C22#552411yescharacteristic
732C22C4×D3×D412yes—
733C22#554712yes—
734C4—22no—
735C4—21no—
736C4—22no—
737C4—44no—
738C4—41no—
739C4—41no—
740C4—64no—
741C4—82no—
742C4—122no—
743C4—122no—
744C4—122no—
745C4—122no—
746C4—122no—
747C4—241no—
748C4#474212yesdirect product factor
749C3C4×#45811yescharacteristic, complemented, Sylow
750C2—22no—
751C2—22no—
752C2—21no—
753C2—21no—
754C2—42no—
755C2—124no—
756C2C4×#88211yescharacteristic
757C2C2×#474211yescharacteristic
758C2#7869011yescharacteristic
subgroupG/H
centerC2×C4#882
commutatorC23×C3C23×C4
FrattiniC24C23×D3
FittingC3×C4×#99C2
socleC22×C3C2×#120
prime radicalC2×#1004C22
cosocleC24×C3C24
hypercenterC4×#99D3
hypocenterC3C4×#458
LCSG ▷ C23×C3 ▷ C2×C3 ▷ C3
UCSC1 ◁ C2×C4 ◁ C23×C4 ◁ C4×#99

Complements

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

NH ≅ G/Ntype
2. C4×#935C2semidirect
4. C4×#886C2semidirect
5. C3×C4×#99C2semidirect
7. #70023C2semidirect
8. #70021C2semidirect
9. C4×#806C2semidirect
10. #68963C2semidirect
11. #68961C2semidirect
19. C22×C4×Dic3C22semidirect
31. C3×C4×C22⋊C4C22semidirect
34. C4×#217C22semidirect
39. #4950C22semidirect
40. #4946C22semidirect
42. #4943C22semidirect
43. #4943C22semidirect
47. #4742C4direct (N × H)
50. C3×#342C22semidirect
51. #4527C22semidirect
52. #4527C22semidirect
63. C4×#99D3semidirect
95. #935C2×C4semidirect
129. #886C2×C4semidirect
145. C3×#99C2×C4semidirect
157. #806C2×C4semidirect
194. C4×C22⋊C4C2×D3semidirect
197. #342C2×D3semidirect
240. C22×Dic3C22×C4semidirect
265. C3×C22⋊C4C22×C4semidirect
276. #217C22×C4semidirect
385. #99C4×D3semidirect
569. C22⋊C4C2×C4×D3semidirect
612. C3×C4#458semidirect
748. C4#4742direct (N × H)
749. C3C4×#458semidirect

Maximal subgroups

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

subgroupindex
C4×#10042
C4×#9352
C2×#47422
C4×#8862
C3×C4×#992
#700332
#700232
#700212
C4×#8062
#689632
#689612
C4×#4583