Finite Group Databasebeta

← #10823382

Subgroups — #10823382

Order 768.

1156 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5578C211yesmaximal, characteristic
2C2×C3×C4×Q16C211yesmaximal, characteristic, complemented
3C4×#946C211yesmaximal, characteristic
4C2×C4×#216C211yesmaximal, characteristic, complemented
5#72073C211yesmaximal, characteristic, complemented
6#72071C211yesmaximal, characteristic
7C4×#835C211yesmaximal, characteristic, complemented
8#70635C211yesmaximal, characteristic
9#70617C211yesmaximal, characteristic, complemented
10#70284C211yesmaximal, characteristic, complemented
11#70275C211yesmaximal, characteristic
12#70273C211yesmaximal, characteristic
13#70231C211yesmaximal, characteristic, complemented
14C4×#816C211yesmaximal, characteristic, complemented
15C4×(C2×D3)⋊C8C211yesmaximal, characteristic
16#23571—31nomaximal, Sylow
17C22×C3×Q16C2211yescharacteristic
18C2×C3×C4×Q8C2211yescharacteristic
19C2×C3×C4×Q8C2211yescharacteristic
20C2×#946C2211yescharacteristic
21C2×#946C2211yescharacteristic
22C2×#944C2211yescharacteristic
23C22×#216C2211yescharacteristic
24#5578—24no—
25#5578—24no—
26C2×#897C2211yescharacteristic
27C2×#896—21no—
28C2×#889—21no—
29C2×#888C2211yescharacteristic
30C2×#872—21no—
31C2×C42×D3C2211yescharacteristic
32C2×C4×Dic6—21no—
33C2×C4×Dic6C2211yescharacteristic
34C3×C4×Q16—24no—
35C2×C3×#107C2211yescharacteristic
36C2×C3×#103C2211yescharacteristic
37C2×C3×#103C2211yescharacteristic
38C2×C3×C4×C8C2211yescharacteristic
39#5229C2211yescharacteristic
40C2×#835C2211yescharacteristic
41C2×#835C2211yescharacteristic
42C2×#835C2211yescharacteristic
43C2×(C2×D3)⋊C8C2211yescharacteristic
44C2×(C2×D3)⋊C8C2211yescharacteristic
45C2×#816C2211yescharacteristic
46C2×#816C2211yescharacteristic
47C4×#216—24no—
48#4989—21no—
49#4987C2211yescharacteristic
50#4978—21no—
51#4972C2211yescharacteristic
52C2×#810C2211yescharacteristic
53C2×#807C2211yescharacteristic
54C4×(C2×D3)⋊C4—21no—
55C4×C4⋊Dic3C2211yescharacteristic
56C4×Dic3⋊C4—21no—
57C2×C4×C3⋊C8C2211yescharacteristic
58#4551C2211yescharacteristic
59#4551C2211yescharacteristic
60#4550C2211yescharacteristic
61#4550C2211yescharacteristic
62#4529C2211yescharacteristic
63#4529C2211yescharacteristic
64C2×#533—31no—
65C2×C4×Q16—31no—
66C2×C4×Q16D311yescharacteristic, complemented
67C4×C22⋊Q8—31no—
68#2057—31no—
69#2043—31no—
70#2036—31no—
71#2036—31no—
72#2024—31no—
73#2016—31no—
74#2001—31no—
75#2001—31no—
76C4×#103—31no—
77C4×#103—31no—
78C4×C22⋊C8—31no—
79C22×C3×Q8C2311yescharacteristic
80C22×C3×Q8C2311yescharacteristic
81C22×C4×D3D411yescharacteristic
82C22×C4×D3D411yescharacteristic
83C22×C4×D3C2311yescharacteristic
84C22×Dic6—21no—
85C22×Dic6C2311yescharacteristic
86C2×C3×Q16—22no—
87C2×C3×Q16—22no—
88C2×C3×Q16—22no—
89C22×C3×C8C2311yescharacteristic
90C22×C3×C8C2311yescharacteristic
91C3×C4×Q8—22no—
92C3×C4×Q8—22no—
93C3×C4×Q8—22no—
94C3×C4×Q8D414yes—
95C2×C3×C4⋊C4—21no—
96C2×C3×C4⋊C4—21no—
97C2×C3×C4⋊C4C2311yescharacteristic
98C2×C3×C4⋊C4C2311yescharacteristic
99C2×C3×C42—21no—
100C2×C3×C42—21no—
101C2×C3×C42C2311yescharacteristic
102#946—22no—
103#946—22no—
104#946—22no—
105#946—22no—
106#944—22no—
107#944—22no—
108C2×#216—22no—
109C2×#216—22no—
110C2×#216—22no—
111C2×(C2×D3)⋊C4—21no—
112C2×(C2×D3)⋊C4—21no—
113C2×(C2×D3)⋊C4—21no—
114C2×(C2×D3)⋊C4—21no—
115C2×C4⋊Dic3—21no—
116C2×C4⋊Dic3C2311yescharacteristic
117C2×C4⋊Dic3C2311yescharacteristic
118C2×C4⋊Dic3C2311yescharacteristic
119C2×Dic3⋊C4—21no—
120C2×Dic3⋊C4—21no—
121C2×Dic3⋊C4—21no—
122C2×Dic3⋊C4—21no—
123C2×Dic3⋊C4—21no—
124C2×Dic3⋊C4—21no—
125C2×Dic3⋊C4—21no—
126C2×C4×Dic3—21no—
127C2×C4×Dic3—21no—
128C2×C4×Dic3D411yescharacteristic
129C2×C4×Dic3D411yescharacteristic
130C2×C4×Dic3C2311yescharacteristic
131C22×C3⋊C8C2311yescharacteristic
132C22×C3⋊C8C2311yescharacteristic
133#897—22no—
134#897—22no—
135#896—28no—
136#889—28no—
137#888—22no—
138#888—22no—
139#872—28no—
140C42×D3—22no—
141C42×D3—22no—
142C4×Dic6—28no—
143C4×Dic6—22no—
144C4×Dic6D414yes—
145C3×#107—22no—
146C3×#103—22no—
147C3×#103—22no—
148C3×C4×C8—22no—
149#835—22no—
150#835—22no—
151#835—22no—
152C3⋊#95—21no—
153C3⋊#95—21no—
154C3⋊#95—21no—
155C3⋊#95—21no—
156C3⋊#95—21no—
157(C2×D3)⋊C8—22no—
158(C2×D3)⋊C8—22no—
159#816—22no—
160#816—22no—
161#810—22no—
162#807—22no—
163C4×C3⋊C8—22no—
164C22×Q16—31no—
165C22×Q16C2×D311yescharacteristic
166#533—64no—
167#533—64no—
168C2×C4⋊Q8—31no—
169C2×C4⋊Q8—31no—
170C2×#125—61no—
171C2×C22⋊Q8—31no—
172C2×C22⋊Q8—31no—
173C2×C22⋊Q8—31no—
174C2×C22⋊Q8—61no—
175C2×C4×Q8—31no—
176C2×C4×Q8—61no—
177C2×C4×Q8C2×D311yescharacteristic
178C2×C4×Q8C2×D311yescharacteristic
179C2×#117—61no—
180C22×C42—31no—
181C4×Q16—24no—
182C4×Q16—64no—
183C2×#107—31no—
184C2×#107C2×D311yescharacteristic
185C2×#103—31no—
186C2×#103—31no—
187C2×#103—31no—
188C2×#103—31no—
189C2×#103—31no—
190C2×#103—31no—
191C2×#103C2×D311yescharacteristic
192C2×#103C2×D311yescharacteristic
193C2×C22⋊C8—31no—
194C2×C22⋊C8—31no—
195C2×C4×C8—31no—
196C2×C4×C8C2×D311yescharacteristic
197#391—31no—
198#389—31no—
199#387—61no—
200#385—61no—
201#380—31no—
202C4×C4⋊C4—31no—
203C4×C4⋊C4—61no—
204C4×C22⋊C4—61no—
205#340—31no—
206#340—31no—
207#340—31no—
208#340—31no—
209#336—31no—
210#336—31no—
211C23×D3C2×D411yescharacteristic
212C2×C3×Q8—21no—
213C2×C3×Q8—21no—
214C2×C3×Q8—21no—
215C2×C3×Q8—21no—
216C2×C3×Q8—21no—
217C2×C3×Q8—21no—
218C2×C3×Q8—21no—
219C2×C3×Q8—21no—
220C2×C3×Q8—21no—
221C2×C3×Q8—21no—
222C2×C3×Q8C2×D412yes—
223C2×C3×Q8#4112yes—
224C22×C3×C4—21no—
225C22×C3×C4—21no—
226C22×C3×C4—21no—
227C22×C3×C4—21no—
228C22×C3×C4C2×D411yescharacteristic
229C22×C3×C4C2×D411yescharacteristic
230C22×C3×C4C2411yescharacteristic
231C22×Dic3—21no—
232C22×Dic3—21no—
233C22×Dic3—21no—
234C22×Dic3—21no—
235C22×Dic3C2×D411yescharacteristic
236C22×Dic3C2×D411yescharacteristic
237C22×Dic3C2×D411yescharacteristic
238C2×C4×D3—22no—
239C2×C4×D3—22no—
240C2×C4×D3—22no—
241C2×C4×D3—21no—
242C2×C4×D3—21no—
243C2×C4×D3—21no—
244C2×C4×D3—21no—
245C2×C4×D3—21no—
246C2×C4×D3—21no—
247C2×C4×D3—22no—
248C2×C4×D3—41no—
249C2×C4×D3Q1614yescomplemented
250C2×Dic6—21no—
251C2×Dic6—21no—
252C2×Dic6—21no—
253C2×Dic6—21no—
254C2×Dic6—24no—
255C2×Dic6—21no—
256C2×Dic6—42no—
257C2×Dic6—42no—
258C2×Dic6C2×D412yes—
259C3×Q16—28no—
260C2×C3×C8—21no—
261C2×C3×C8—21no—
262C2×C3×C8—21no—
263C2×C3×C8—21no—
264C2×C3×C8—21no—
265C2×C3×C8#4112yes—
266C3×C4⋊C4—24no—
267C3×C4⋊C4—21no—
268C3×C4⋊C4—21no—
269C3×C4⋊C4—21no—
270C3×C4⋊C4—42no—
271C3×C4⋊C4C2×D412yes—
272C3×C42—24no—
273C3×C42—42no—
274C3×C42C2×D412yes—
275C3×C42C2×D412yes—
276#216—28no—
277(C2×D3)⋊C4—24no—
278(C2×D3)⋊C4—24no—
279(C2×D3)⋊C4—24no—
280(C2×D3)⋊C4—42no—
281C4⋊Dic3—24no—
282C4⋊Dic3—21no—
283C4⋊Dic3—21no—
284C4⋊Dic3—21no—
285C4⋊Dic3—21no—
286C4⋊Dic3C2×D412yes—
287C4⋊Dic3#4112yes—
288Dic3⋊C4—24no—
289Dic3⋊C4—24no—
290Dic3⋊C4—24no—
291Dic3⋊C4—24no—
292Dic3⋊C4—24no—
293Dic3⋊C4—24no—
294Dic3⋊C4—42no—
295C4×Dic3—22no—
296C4×Dic3—24no—
297C4×Dic3—22no—
298C4×Dic3—21no—
299C4×Dic3—21no—
300C4×Dic3—42no—
301C2×C3⋊C8—21no—
302C2×C3⋊C8—21no—
303C2×C3⋊C8—21no—
304C2×C3⋊C8—21no—
305C2×C3⋊C8—21no—
306C2×C3⋊C8#4112yes—
307C22×Q8—31no—
308C22×Q8—61no—
309C22×Q8C22×D311yescharacteristic
310C22×Q8C22×D311yescharacteristic
311C23×C4—31no—
312C23×C4—31no—
313C23×C4—31no—
314C2×Q16—22no—
315C2×Q16—22no—
316C2×Q16—22no—
317C2×Q16—62no—
318C2×Q16—62no—
319C2×Q16—62no—
320C22×C8—31no—
321C22×C8—31no—
322C22×C8C22×D311yescharacteristic
323C22×C8C22×D311yescharacteristic
324C4⋊Q8—62no—
325C4⋊Q8—62no—
326C4⋊Q8—62no—
327C4⋊Q8—62no—
328#125—68no—
329C22⋊Q8—62no—
330C22⋊Q8—68no—
331C22⋊Q8—62no—
332C22⋊Q8—62no—
333C22⋊Q8—62no—
334C22⋊Q8—62no—
335C22⋊Q8—62no—
336C4×Q8—22no—
337C4×Q8—22no—
338C4×Q8—22no—
339C4×Q8—34no—
340C4×Q8—68no—
341C4×Q8—62no—
342C4×Q8#6714yes—
343#117—68no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—31no—
347C2×C4⋊C4—31no—
348C2×C4⋊C4—31no—
349C2×C4⋊C4—61no—
350C2×C4⋊C4—61no—
351C2×C4⋊C4—61no—
352C2×C4⋊C4—61no—
353C2×C4⋊C4—61no—
354C2×C4⋊C4—61no—
355C2×C4⋊C4—61no—
356C2×C4⋊C4—61no—
357C2×C4⋊C4C22×D311yescharacteristic
358C2×C4⋊C4C22×D311yescharacteristic
359C2×C22⋊C4—61no—
360C2×C22⋊C4—61no—
361C2×C22⋊C4—61no—
362C2×C22⋊C4—61no—
363C2×C42—21no—
364C2×C42—21no—
365C2×C42—31no—
366C2×C42—31no—
367C2×C42—31no—
368C2×C42—61no—
369C2×C42—62no—
370C2×C42—62no—
371C2×C42—61no—
372C2×C42C22×D311yescharacteristic
373#107—22no—
374#107—62no—
375#103—22no—
376#103—22no—
377#103—62no—
378#103—62no—
379#103—62no—
380#103—62no—
381#103—62no—
382#103—62no—
383C22⋊C8—62no—
384C22⋊C8—62no—
385C4×C8—22no—
386C4×C8—62no—
387#95—61no—
388#95—61no—
389#95—61no—
390#95—61no—
391#95—61no—
392C23×C3C22×D411yescharacteristic
393C22×D3—21no—
394C22×D3—21no—
395C22×D3—21no—
396C22×D3—21no—
397C22×D3—21no—
398C22×D3—21no—
399C22×D3C2×Q1612yes—
400C3×Q8—22no—
401C3×Q8—22no—
402C3×Q8—22no—
403C3×Q8—22no—
404C3×Q8—41no—
405C3×Q8—41no—
406C3×Q8—41no—
407C3×Q8—41no—
408C2×C3×C4—21no—
409C2×C3×C4—21no—
410C2×C3×C4—22no—
411C2×C3×C4—22no—
412C2×C3×C4—22no—
413C2×C3×C4—41no—
414C2×C3×C4—41no—
415C2×C3×C4—41no—
416C2×C3×C4—41no—
417C2×C3×C4—41no—
418C2×C3×C4—41no—
419C2×C3×C4—41no—
420C2×C3×C4—41no—
421C2×C3×C4—41no—
422C2×C3×C4#12012yes—
423C2×C3×C4#12012yes—
424C2×C3×C4C2×Q1612yes—
425C2×C3×C4#13712yes—
426C2×C3×C4C22×D411yescharacteristic
427C2×C3×C4C22×D411yescharacteristic
428C2×C3×C4C2×#4111yescharacteristic
429C2×C3×C4C2×#4111yescharacteristic
430C2×C3×C4C2×#4111yescharacteristic
431C2×C3×C4C2×#4111yescharacteristic
432C2×Dic3—21no—
433C2×Dic3—21no—
434C2×Dic3—21no—
435C2×Dic3—21no—
436C2×Dic3—21no—
437C2×Dic3—22no—
438C2×Dic3—22no—
439C2×Dic3—21no—
440C2×Dic3—22no—
441C2×Dic3—21no—
442C2×Dic3—41no—
443C2×Dic3—41no—
444C2×Dic3—41no—
445C2×Dic3—41no—
446C2×Dic3—41no—
447C2×Dic3—41no—
448C2×Dic3—41no—
449C2×Dic3—41no—
450C2×Dic3—41no—
451C2×Dic3C2×Q1612yes—
452C2×Dic3#13512yes—
453C4×D3—28no—
454C4×D3—44no—
455C4×D3—41no—
456C4×D3—41no—
457C4×D3—41no—
458C4×D3—41no—
459Dic6—22no—
460Dic6—22no—
461Dic6—48no—
462Dic6—41no—
463Dic6—41no—
464C3×C8—22no—
465C3×C8—41no—
466C3⋊C8—22no—
467C3⋊C8—41no—
468C24—31no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—32no—
480C2×Q8—64no—
481C2×Q8—61no—
482C2×Q8—61no—
483C2×Q8—61no—
484C2×Q8—61no—
485C2×Q8—61no—
486C2×Q8—122no—
487C2×Q8—122no—
488C2×Q8#23512yes—
489C2×Q8C2×#6712yes—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—31no—
495C22×C4—31no—
496C22×C4—34no—
497C22×C4—31no—
498C22×C4—62no—
499C22×C4—62no—
500C22×C4—62no—
501C22×C4—61no—
502C22×C4—61no—
503C22×C4—61no—
504C22×C4—62no—
505C22×C4—61no—
506C22×C4—61no—
507C22×C4—61no—
508C22×C4—61no—
509C22×C4—61no—
510C22×C4—61no—
511C22×C4—61no—
512C22×C4—121no—
513C22×C4D3×D411yescharacteristic
514C22×C4D3×D411yescharacteristic
515C22×C4C23×D311yescharacteristic
516Q16—28no—
517Q16—68no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—32no—
524C2×C8—61no—
525C2×C8—61no—
526C2×C8—61no—
527C2×C8—61no—
528C2×C8—61no—
529C2×C8#23512yes—
530C4⋊C4—24no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—32no—
535C4⋊C4—32no—
536C4⋊C4—42no—
537C4⋊C4—64no—
538C4⋊C4—64no—
539C4⋊C4—64no—
540C4⋊C4—64no—
541C4⋊C4—64no—
542C4⋊C4—64no—
543C4⋊C4—64no—
544C4⋊C4—61no—
545C4⋊C4—61no—
546C4⋊C4—61no—
547C4⋊C4—61no—
548C4⋊C4—122no—
549C4⋊C4C2×#6712yes—
550C22⋊C4—64no—
551C22⋊C4—64no—
552C22⋊C4—64no—
553C22⋊C4—122no—
554C42—24no—
555C42—42no—
556C42—62no—
557C42—62no—
558C42—64no—
559C42—61no—
560C42—61no—
561C42—122no—
562C42D3×D412yes—
563C42C2×#6712yes—
564C22×C3C2×#12011yescharacteristic
565C22×C3#52511yescharacteristic
566C22×C3#53211yescharacteristic
567C22×C3C22×Q1611yescharacteristic
568C22×C3C2×#13511yescharacteristic
569C22×C3C2×#13711yescharacteristic
570C22×C3#57511yescharacteristic
571C2×D3—22no—
572C2×D3—22no—
573C2×D3—22no—
574C2×D3—41no—
575C2×D3—41no—
576C2×D3—41no—
577C2×D3—41no—
578C3×C4—22no—
579C3×C4—42no—
580C3×C4—42no—
581C3×C4—42no—
582C3×C4—81no—
583C3×C4#45114yes—
584C3×C4#52511yescharacteristic
585C3×C4#52511yescharacteristic
586C3×C4#53211yescharacteristic
587C3×C4#53211yescharacteristic
588Dic3—22no—
589Dic3—22no—
590Dic3—42no—
591Dic3—42no—
592Dic3—41no—
593Dic3—42no—
594Dic3—81no—
595C23—32no—
596C23—61no—
597C23—61no—
598C23—61no—
599C23—61no—
600C23—61no—
601C23—61no—
602C23C2×D3×D411yescharacteristic
603Q8—22no—
604Q8—22no—
605Q8—22no—
606Q8—22no—
607Q8—41no—
608Q8—41no—
609Q8—41no—
610Q8—41no—
611Q8—62no—
612Q8—62no—
613Q8—128no—
614Q8—121no—
615Q8—121no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—32no—
622C2×C4—32no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—61no—
633C2×C4—61no—
634C2×C4—61no—
635C2×C4—61no—
636C2×C4—68no—
637C2×C4—61no—
638C2×C4—62no—
639C2×C4—62no—
640C2×C4—62no—
641C2×C4—61no—
642C2×C4—61no—
643C2×C4—124no—
644C2×C4—121no—
645C2×C4—121no—
646C2×C4—121no—
647C2×C4—121no—
648C2×C4—121no—
649C2×C4—121no—
650C2×C4—121no—
651C2×C4—121no—
652C2×C4—121no—
653C2×C4—121no—
654C2×C4—121no—
655C2×C4—121no—
656C2×C4—121no—
657C2×C4D3×Q1612yes—
658C2×C4#91812yes—
659C2×C4#93712yes—
660C2×C4#93712yes—
661C2×C4C2×#23511yescharacteristic
662C2×C4C2×#23511yescharacteristic
663C2×C4C2×D3×D411yescharacteristic
664C2×C4D3×#4111yescharacteristic
665C2×C4D3×#4111yescharacteristic
666C2×C4C22×#6711yescharacteristic
667C8—22no—
668C8—41no—
669C8—62no—
670C8—121no—
671C2×C3#238811yescharacteristic
672C2×C3C2×#45111yescharacteristic
673C2×C3#300211yescharacteristic
674C2×C3#310411yescharacteristic
675C2×C3#310711yescharacteristic
676C2×C3#317011yescharacteristic
677C2×C3#317211yescharacteristic
678D3—42no—
679C22—62no—
680C22—62no—
681C22—62no—
682C22—121no—
683C22—121no—
684C22—121no—
685C22—121no—
686C22#554711yescharacteristic
687C22#554811yescharacteristic
688C22C2×D3×Q1611yescharacteristic
689C22C2×#91811yescharacteristic
690C22D3×#13511yescharacteristic
691C22#576811yescharacteristic
692C22C2×#93711yescharacteristic
693C4—22no—
694C4—42no—
695C4—42no—
696C4—42no—
697C4—62no—
698C4—62no—
699C4—81no—
700C4—122no—
701C4—122no—
702C4—121no—
703C4—122no—
704C4—241no—
705C4#518614yes—
706C4#554711yescharacteristic
707C4#554811yescharacteristic
708C4#579111yescharacteristic
709C4#583211yescharacteristic
710C3#2357111yescharacteristic, complemented, Sylow
711C2—122no—
712C2#7972211yescharacteristic
713C2#7972511yescharacteristic
714C2#7972611yescharacteristic
715C2#7974711yescharacteristic
716C2#8240011yescharacteristic
717C2C2×#518611yescharacteristic
718C2#8391111yescharacteristic
subgroupG/H
centerC22×C4D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC2×C3×C4×Q16C2
socleC23×C3C22×D4
prime radicalC23×D3C2×D4
hypercenterC2×C4×Q16D3
hypocenterC3#23571
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C2×C4×Q16

Complements

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

NH ≅ G/Ntype
2. C2×C3×C4×Q16C2semidirect
4. C2×C4×#216C2semidirect
5. #72073C2semidirect
7. C4×#835C2semidirect
9. #70617C2semidirect
10. #70284C2semidirect
13. #70231C2semidirect
14. C4×#816C2semidirect
66. C2×C4×Q16D3semidirect
249. C2×C4×D3Q16semidirect
710. C3#23571semidirect

Maximal subgroups

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

subgroupindex
C2×#55782
C2×C3×C4×Q162
C4×#9462
C2×C4×#2162
#720732
#720712
C4×#8352
#706352
#706172
#702842
#702752
#702732
#702312
C4×#8162
C4×(C2×D3)⋊C82
#235713