Finite Group Databasebeta

← #10823384

Subgroups — #10823384

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×C4×#216C211yesmaximal, characteristic, complemented
3C2×C4×Dic12C211yesmaximal, characteristic, complemented
4C4×#897C211yesmaximal, characteristic
5C3×C4×#103C211yesmaximal, characteristic, complemented
6#70283C211yesmaximal, characteristic, complemented
7#70273C211yesmaximal, characteristic
8#70246C211yesmaximal, characteristic, complemented
9#70244C211yesmaximal, characteristic
10C4×(C2×D3)⋊C8C211yesmaximal, characteristic
11C4×#810C211yesmaximal, characteristic, complemented
12#68910C211yesmaximal, characteristic, complemented
13#68888C211yesmaximal, characteristic
14#68826C211yesmaximal, characteristic, complemented
15#68825C211yesmaximal, characteristic
16#23571—31nomaximal, Sylow
17C2×C3×C4×Q8C2211yescharacteristic
18C2×#946C2211yescharacteristic
19C2×#944C2211yescharacteristic
20C22×#216C2211yescharacteristic
21C22×Dic12C2211yescharacteristic
22#5578—24no—
23#5578—24no—
24C2×#897C2211yescharacteristic
25C2×#897C2211yescharacteristic
26C2×#896—21no—
27C2×#889—21no—
28C2×#888C2211yescharacteristic
29C2×#872—21no—
30C2×C42×D3C2211yescharacteristic
31C2×C4×Dic6—21no—
32C2×C4×Dic6C2211yescharacteristic
33C2×C4×Dic6C2211yescharacteristic
34C2×C3×#103C2211yescharacteristic
35C2×C3×#103C2211yescharacteristic
36C2×C3×C4×C8C2211yescharacteristic
37C3×C4×C4⋊C4C2211yescharacteristic
38C2×#835C2211yescharacteristic
39C2×(C2×D3)⋊C8C2211yescharacteristic
40C2×(C2×D3)⋊C8C2211yescharacteristic
41C2×#818C2211yescharacteristic
42C2×#816C2211yescharacteristic
43C2×#816C2211yescharacteristic
44C4×#216—24no—
45#4987C2211yescharacteristic
46#4984C2211yescharacteristic
47#4973C2211yescharacteristic
48C2×#810C2211yescharacteristic
49C2×#810C2211yescharacteristic
50C2×#810C2211yescharacteristic
51C2×#807C2211yescharacteristic
52C4×(C2×D3)⋊C4—21no—
53C4×C4⋊Dic3—21no—
54C2×C4×C3⋊C8C2211yescharacteristic
55C4×Dic12—24no—
56#4668—21no—
57#4653—21no—
58C3×#340C2211yescharacteristic
59C3×#340C2211yescharacteristic
60#4550C2211yescharacteristic
61#4550C2211yescharacteristic
62#4529C2211yescharacteristic
63#4529C2211yescharacteristic
64C2×#533—31no—
65C2×C4×Q16—31no—
66C2×C4×Q16—31no—
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×#103D311yescharacteristic, complemented
78C4×C22⋊C8—31no—
79C22×C3×Q8C2311yescharacteristic
80C22×C4×D3D411yescharacteristic
81C22×C4×D3D411yescharacteristic
82C22×C4×D3C2311yescharacteristic
83C22×Dic6—21no—
84C22×Dic6C2311yescharacteristic
85C22×Dic6C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C22×C3×C8C2311yescharacteristic
88C3×C4×Q8—22no—
89C3×C4×Q8D414yes—
90C2×C3×C4⋊C4—21no—
91C2×C3×C4⋊C4C2311yescharacteristic
92C2×C3×C4⋊C4C2311yescharacteristic
93C2×C3×C4⋊C4C2311yescharacteristic
94C2×C3×C42—21no—
95C2×C3×C42—21no—
96C2×C3×C42C2311yescharacteristic
97#946—22no—
98#946—22no—
99#944—22no—
100#944—22no—
101C2×#216—22no—
102C2×#216—22no—
103C2×#216—22no—
104C2×(C2×D3)⋊C4—21no—
105C2×(C2×D3)⋊C4—21no—
106C2×(C2×D3)⋊C4—21no—
107C2×(C2×D3)⋊C4—21no—
108C2×C4⋊Dic3—21no—
109C2×C4⋊Dic3—21no—
110C2×C4⋊Dic3—21no—
111C2×C4⋊Dic3C2311yescharacteristic
112C2×C4⋊Dic3C2311yescharacteristic
113C2×Dic3⋊C4—21no—
114C2×Dic3⋊C4—21no—
115C2×Dic3⋊C4—21no—
116C2×Dic3⋊C4—21no—
117C2×Dic3⋊C4—21no—
118C2×Dic3⋊C4—21no—
119C2×C4×Dic3—21no—
120C2×C4×Dic3—21no—
121C2×C4×Dic3D411yescharacteristic
122C2×C4×Dic3D411yescharacteristic
123C2×C4×Dic3C2311yescharacteristic
124C22×C3⋊C8C2311yescharacteristic
125C22×C3⋊C8C2311yescharacteristic
126C2×Dic12—22no—
127C2×Dic12—22no—
128C2×Dic12—22no—
129#897—22no—
130#897—22no—
131#897—22no—
132#897—22no—
133#896—28no—
134#889—28no—
135#888—22no—
136#888—22no—
137#872—28no—
138C42×D3—22no—
139C42×D3—22no—
140C4×Dic6—28no—
141C4×Dic6—22no—
142C4×Dic6—22no—
143C4×Dic6—22no—
144C4×Dic6D414yes—
145C3×#103—22no—
146C3×#103—22no—
147C3×C4×C8—22no—
148C3×#95—21no—
149#835—22no—
150C3⋊#95—21no—
151C3⋊#95—21no—
152C3⋊#95—21no—
153C3⋊#95—21no—
154(C2×D3)⋊C8—22no—
155(C2×D3)⋊C8—22no—
156#818—22no—
157#816—22no—
158#816—22no—
159#810—22no—
160#810—22no—
161#810—22no—
162#807—22no—
163C4×C3⋊C8—22no—
164C22×Q16—31no—
165C22×Q16—31no—
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—31no—
177C2×C4×Q8—61no—
178C2×C4×Q8C2×D311yescharacteristic
179C2×#117—61no—
180C22×C42—31no—
181C4×Q16—64no—
182C4×Q16—64no—
183C2×#107—31no—
184C2×#107—31no—
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—61no—
203C4×C4⋊C4C2×D311yescharacteristic
204C4×C22⋊C4—61no—
205#340—31no—
206#340—31no—
207#340C2×D311yescharacteristic
208#340C2×D311yescharacteristic
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×Q8C2×D412yes—
218C22×C3×C4—21no—
219C22×C3×C4—21no—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4C2×D411yescharacteristic
223C22×C3×C4C2×D411yescharacteristic
224C22×C3×C4C2411yescharacteristic
225C22×Dic3—21no—
226C22×Dic3—21no—
227C22×Dic3—21no—
228C22×Dic3—21no—
229C22×Dic3C2×D411yescharacteristic
230C22×Dic3C2×D411yescharacteristic
231C22×Dic3C2×D411yescharacteristic
232C2×C4×D3—22no—
233C2×C4×D3—22no—
234C2×C4×D3—22no—
235C2×C4×D3—21no—
236C2×C4×D3—21no—
237C2×C4×D3—21no—
238C2×C4×D3—21no—
239C2×C4×D3—21no—
240C2×C4×D3—21no—
241C2×C4×D3—22no—
242C2×C4×D3—41no—
243C2×C4×D3Q1614yescomplemented
244C2×Dic6—21no—
245C2×Dic6—21no—
246C2×Dic6—21no—
247C2×Dic6—21no—
248C2×Dic6—21no—
249C2×Dic6—21no—
250C2×Dic6—21no—
251C2×Dic6—21no—
252C2×Dic6—24no—
253C2×Dic6—21no—
254C2×Dic6—21no—
255C2×Dic6—42no—
256C2×Dic6—42no—
257C2×Dic6C2×D412yes—
258C2×Dic6#4112yes—
259C2×C3×C8—21no—
260C2×C3×C8—21no—
261C2×C3×C8—21no—
262C2×C3×C8—21no—
263C2×C3×C8—21no—
264C2×C3×C8#4112yes—
265C3×C4⋊C4—24no—
266C3×C4⋊C4—21no—
267C3×C4⋊C4—21no—
268C3×C4⋊C4—21no—
269C3×C4⋊C4—21no—
270C3×C4⋊C4C2×D412yes—
271C3×C4⋊C4#4112yes—
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—24no—
283C4⋊Dic3—21no—
284C4⋊Dic3—21no—
285C4⋊Dic3—21no—
286C4⋊Dic3—42no—
287C4⋊Dic3C2×D412yes—
288Dic3⋊C4—24no—
289Dic3⋊C4—24no—
290Dic3⋊C4—24no—
291Dic3⋊C4—24no—
292Dic3⋊C4—24no—
293Dic3⋊C4—42no—
294C4×Dic3—22no—
295C4×Dic3—24no—
296C4×Dic3—22no—
297C4×Dic3—21no—
298C4×Dic3—21no—
299C4×Dic3—42no—
300C2×C3⋊C8—21no—
301C2×C3⋊C8—21no—
302C2×C3⋊C8—21no—
303C2×C3⋊C8—21no—
304C2×C3⋊C8—21no—
305C2×C3⋊C8#4112yes—
306Dic12—28no—
307C22×Q8—31no—
308C22×Q8—31no—
309C22×Q8—61no—
310C22×Q8C22×D311yescharacteristic
311C23×C4—31no—
312C23×C4—31no—
313C23×C4—31no—
314C2×Q16—62no—
315C2×Q16—62no—
316C2×Q16—62no—
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—62no—
331C22⋊Q8—68no—
332C22⋊Q8—62no—
333C22⋊Q8—62no—
334C22⋊Q8—62no—
335C22⋊Q8—62no—
336C4×Q8—22no—
337C4×Q8—34no—
338C4×Q8—68no—
339C4×Q8—62no—
340C4×Q8—62no—
341C4×Q8—62no—
342C4×Q8D1214yes—
343#117—68no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—31no—
346C2×C4⋊C4—31no—
347C2×C4⋊C4—61no—
348C2×C4⋊C4—61no—
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⋊C4C22×D311yescharacteristic
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—62no—
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—21no—
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—41no—
403C3×Q8—41no—
404C2×C3×C4—21no—
405C2×C3×C4—21no—
406C2×C3×C4—22no—
407C2×C3×C4—22no—
408C2×C3×C4—22no—
409C2×C3×C4—41no—
410C2×C3×C4—41no—
411C2×C3×C4—41no—
412C2×C3×C4—41no—
413C2×C3×C4—41no—
414C2×C3×C4—41no—
415C2×C3×C4—41no—
416C2×C3×C4—41no—
417C2×C3×C4—41no—
418C2×C3×C4#12012yes—
419C2×C3×C4#12012yes—
420C2×C3×C4C2×Q1612yes—
421C2×C3×C4#13712yes—
422C2×C3×C4C22×D411yescharacteristic
423C2×C3×C4C22×D411yescharacteristic
424C2×C3×C4C2×#4111yescharacteristic
425C2×C3×C4C2×#4111yescharacteristic
426C2×C3×C4C2×#4111yescharacteristic
427C2×C3×C4C2×#4111yescharacteristic
428C2×Dic3—21no—
429C2×Dic3—21no—
430C2×Dic3—21no—
431C2×Dic3—21no—
432C2×Dic3—21no—
433C2×Dic3—22no—
434C2×Dic3—22no—
435C2×Dic3—21no—
436C2×Dic3—22no—
437C2×Dic3—21no—
438C2×Dic3—41no—
439C2×Dic3—41no—
440C2×Dic3—41no—
441C2×Dic3—41no—
442C2×Dic3—41no—
443C2×Dic3—41no—
444C2×Dic3—41no—
445C2×Dic3—41no—
446C2×Dic3—41no—
447C2×Dic3C2×Q1612yes—
448C2×Dic3#13512yes—
449C4×D3—28no—
450C4×D3—44no—
451C4×D3—41no—
452C4×D3—41no—
453C4×D3—41no—
454C4×D3—41no—
455Dic6—22no—
456Dic6—22no—
457Dic6—22no—
458Dic6—22no—
459Dic6—48no—
460Dic6—41no—
461Dic6—41no—
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—32no—
475C2×Q8—32no—
476C2×Q8—64no—
477C2×Q8—61no—
478C2×Q8—61no—
479C2×Q8—61no—
480C2×Q8—61no—
481C2×Q8—61no—
482C2×Q8—61no—
483C2×Q8—61no—
484C2×Q8—61no—
485C2×Q8—61no—
486C2×Q8—61no—
487C2×Q8—122no—
488C2×Q8—122no—
489C2×Q8C2×D1212yes—
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—68no—
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—21no—
535C4⋊C4—32no—
536C4⋊C4—64no—
537C4⋊C4—64no—
538C4⋊C4—64no—
539C4⋊C4—64no—
540C4⋊C4—64no—
541C4⋊C4—64no—
542C4⋊C4—64no—
543C4⋊C4—61no—
544C4⋊C4—61no—
545C4⋊C4—61no—
546C4⋊C4—122no—
547C4⋊C4—122no—
548C4⋊C4C2×D1212yes—
549C4⋊C4#23512yes—
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—
562C42C2×D1212yes—
563C42D3×D412yes—
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—41no—
606Q8—41no—
607Q8—62no—
608Q8—62no—
609Q8—62no—
610Q8—62no—
611Q8—128no—
612Q8—121no—
613Q8—121no—
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×C4#88212yes—
658C2×C4#88212yes—
659C2×C4#91512yes—
660C2×C4D3×Q1612yes—
661C2×C4C22×D1211yescharacteristic
662C2×C4C2×#23511yescharacteristic
663C2×C4C2×#23511yescharacteristic
664C2×C4C2×D3×D411yescharacteristic
665C2×C4D3×#4111yescharacteristic
666C2×C4D3×#4111yescharacteristic
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—
686C22C2×#88211yescharacteristic
687C22#554711yescharacteristic
688C22#554811yescharacteristic
689C22C2×#91511yescharacteristic
690C22C2×D3×Q1611yescharacteristic
691C22D3×#13511yescharacteristic
692C22#576811yescharacteristic
693C4—22no—
694C4—42no—
695C4—42no—
696C4—42no—
697C4—62no—
698C4—62no—
699C4—81no—
700C4—121no—
701C4—122no—
702C4—122no—
703C4—122no—
704C4—241no—
705C4#480914yes—
706C4#547711yescharacteristic
707C4#552411yescharacteristic
708C4#554711yescharacteristic
709C4#554811yescharacteristic
710C3#2357111yescharacteristic, complemented, Sylow
711C2—122no—
712C2#7358011yescharacteristic
713C2C2×#480911yescharacteristic
714C2#7883311yescharacteristic
715C2#7965511yescharacteristic
716C2#7966511yescharacteristic
717C2#7972211yescharacteristic
718C2#7972511yescharacteristic
subgroupG/H
centerC22×C4D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×C4×#103C2
socleC23×C3C22×D4
prime radicalC23×D3C2×D4
hypercenterC4×#103D3
hypocenterC3#23571
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C4×#103

Complements

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

NH ≅ G/Ntype
2. C2×C4×#216C2semidirect
3. C2×C4×Dic12C2semidirect
5. C3×C4×#103C2semidirect
6. #70283C2semidirect
8. #70246C2semidirect
11. C4×#810C2semidirect
12. #68910C2semidirect
14. #68826C2semidirect
77. C4×#103D3semidirect
243. 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×C4×#2162
C2×C4×Dic122
C4×#8972
C3×C4×#1032
#702832
#702732
#702462
#702442
C4×(C2×D3)⋊C82
C4×#8102
#689102
#688882
#688262
#688252
#235713