Finite Group Databasebeta

← #10823513

Subgroups — #10823513

Order 768.

1122 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5682C211yesmaximal, characteristic
2C2×#5184C211yesmaximal, characteristic, complemented
3C2×Dic3×SD16C211yesmaximal, characteristic, complemented
4#76611C211yesmaximal, characteristic, complemented
5C3×#2015C211yesmaximal, characteristic, complemented
6#72071C211yesmaximal, characteristic, complemented
7#72054C211yesmaximal, characteristic
8#71722C211yesmaximal, characteristic, complemented
9#70243C211yesmaximal, characteristic, complemented
10Dic3×#103C211yesmaximal, characteristic, complemented
11#70176C211yesmaximal, characteristic
12#70152C211yesmaximal, characteristic, complemented
13#69668C211yesmaximal, characteristic, complemented
14#68633C211yesmaximal, characteristic, complemented
15#68601C211yesmaximal, characteristic, complemented
16#23581—31nomaximal, Sylow
17C22×C3×Q16C2211yescharacteristic
18C22×C3×SD16C2211yescharacteristic
19C2×C3×#124C2211yescharacteristic
20C2×#946C2211yescharacteristic
21C2×#946C2211yescharacteristic
22C2×Q8×Dic3C2211yescharacteristic
23C2×Q8×Dic3C2211yescharacteristic
24C2×#938C2211yescharacteristic
25C2×D4×Dic3C2211yescharacteristic
26#5682—24no—
27#5682—24no—
28C2×#886—21no—
29C2×#885—21no—
30C2×#879—21no—
31C2×#878—21no—
32C2×#872C2211yescharacteristic
33C2×#869C2211yescharacteristic
34C2×C3×#103C2211yescharacteristic
35C2×C3×#102C2211yescharacteristic
36C3×#391C2211yescharacteristic
37C2×#835C2211yescharacteristic
38C2×#835C2211yescharacteristic
39C2×#835C2211yescharacteristic
40C2×#835C2211yescharacteristic
41C2×#832C2211yescharacteristic
42C2×#832C2211yescharacteristic
43#5184—24no—
44Dic3×SD16—24no—
45C2×(C2×D3)⋊C8C2211yescharacteristic
46C2×(C2×D3)⋊C8C2211yescharacteristic
47C2×#817C2211yescharacteristic
48C2×#817C2211yescharacteristic
49C2×#815C2211yescharacteristic
50C2×C8×Dic3C2211yescharacteristic
51#4987C2211yescharacteristic
52Dic3×C4⋊C4C2211yescharacteristic
53#4928C2211yescharacteristic
54#4670—21no—
55#4669—21no—
56#4652—21no—
57#4647—21no—
58C3×#336C2211yescharacteristic
59#4551C2211yescharacteristic
60#4551C2211yescharacteristic
61#4529C2211yescharacteristic
62#4529C2211yescharacteristic
63#4524C2211yescharacteristic
64C2×#542—31no—
65C2×#441—31no—
66C2×C4×SD16—31no—
67#2323—31no—
68#2058—31no—
69#2042—31no—
70#2035—31no—
71#2034—31no—
72#2024—31no—
73#2015D311yescharacteristic, complemented
74#2001—31no—
75#2000—31no—
76#1762—31no—
77C4×#103—31no—
78#1750—31no—
79C22×C3×Q8C2311yescharacteristic
80C22×C3×Q8C2311yescharacteristic
81C22×C3×D4C2311yescharacteristic
82C22×#67—21no—
83C23×Dic3—21no—
84C22×C4×D3C2311yescharacteristic
85C22×Dic6—21no—
86C2×C3×Q16—22no—
87C2×C3×Q16—22no—
88C2×C3×Q16—22no—
89C2×C3×SD16—22no—
90C2×C3×SD16—22no—
91C2×C3×SD16—22no—
92C22×C3×C8C2311yescharacteristic
93C22×C3×C8C2311yescharacteristic
94C3×#124—22no—
95C3×#124—22no—
96C2×C3×C4⋊C4C2311yescharacteristic
97C2×C3×C22⋊C4—21no—
98C2×C3×C22⋊C4—21no—
99C2×C3×C42C2311yescharacteristic
100C2×#217—21no—
101C2×#217—21no—
102#946—22no—
103#946—22no—
104#946—22no—
105#946—22no—
106Q8×Dic3—22no—
107Q8×Dic3—22no—
108Q8×Dic3—22no—
109Q8×Dic3D414yes—
110#938—22no—
111#938—22no—
112D4×Dic3—22no—
113D4×Dic3D414yes—
114C2×(C2×D3)⋊C4—21no—
115C2×(C2×D3)⋊C4—21no—
116C2×(C2×D3)⋊C4—21no—
117C2×(C2×D3)⋊C4D411yescharacteristic
118C2×(C2×D3)⋊C4D411yescharacteristic
119C2×C4⋊Dic3—21no—
120C2×C4⋊Dic3—21no—
121C2×C4⋊Dic3—21no—
122C2×C4⋊Dic3C2311yescharacteristic
123C2×C4⋊Dic3C2311yescharacteristic
124C2×C4⋊Dic3C2311yescharacteristic
125C2×C4⋊Dic3C2311yescharacteristic
126C2×Dic3⋊C4—21no—
127C2×Dic3⋊C4—21no—
128C2×Dic3⋊C4—21no—
129C2×Dic3⋊C4D411yescharacteristic
130C2×Dic3⋊C4D411yescharacteristic
131C2×C4×Dic3—21no—
132C2×C4×Dic3—21no—
133C2×C4×Dic3—21no—
134C2×C4×Dic3C2311yescharacteristic
135C22×C3⋊C8C2311yescharacteristic
136C22×C3⋊C8C2311yescharacteristic
137#886—28no—
138#885—28no—
139#879—28no—
140#878—28no—
141#872—22no—
142#872—22no—
143#869—22no—
144#869—22no—
145C3×#103—22no—
146C3×#102—22no—
147C3×#95—21no—
148C3×#95—21no—
149#835—22no—
150#835—22no—
151#835—22no—
152#835—22no—
153#832—22no—
154#832—22no—
155C3⋊#95—21no—
156C3⋊#95—21no—
157C3⋊#95—21no—
158(C2×D3)⋊C8—22no—
159(C2×D3)⋊C8—22no—
160#817—22no—
161#817—22no—
162#815—22no—
163C8×Dic3—22no—
164C22×Q16C2×D311yescharacteristic
165C22×SD16C2×D311yescharacteristic
166#542—64no—
167#542—64no—
168C2×C4⋊Q8—31no—
169C2×#126—61no—
170C2×#124—61no—
171C2×#124C2×D311yescharacteristic
172C2×#123—61no—
173C2×C22⋊Q8—31no—
174C2×C22⋊Q8—31no—
175C2×C22⋊Q8—61no—
176C2×#121—31no—
177C2×C4×Q8—31no—
178C2×C4×Q8—31no—
179C2×C4×D4—31no—
180C2×#117—31no—
181#441—64no—
182C4×SD16—64no—
183C2×#106—31no—
184C2×#106—31no—
185C2×#103—31no—
186C2×#103—31no—
187C2×#103—31no—
188C2×#103—31no—
189C2×#103C2×D311yescharacteristic
190C2×#102—31no—
191C2×#102—31no—
192C2×#102C2×D311yescharacteristic
193C2×C22⋊C8—31no—
194C2×C22⋊C8—31no—
195C2×#97—31no—
196C2×C4×C8—31no—
197#391C2×D311yescharacteristic
198#389—31no—
199#389—61no—
200#388—61no—
201#388—61no—
202#387—61no—
203#380—31no—
204C4×C4⋊C4—31no—
205#340—31no—
206#340—31no—
207#340—31no—
208#340—31no—
209#336—31no—
210#336C2×D311yescharacteristic
211C24×C3—21no—
212C23×D3C2×D411yescharacteristic
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×Q8—21no—
223C2×C3×Q8C2×D412yes—
224C2×C3×Q8#4112yes—
225C2×C3×D4—21no—
226C2×C3×D4—21no—
227C2×C3×D4—21no—
228C2×C3×D4—21no—
229C2×C3×D4—21no—
230C2×C3×D4C2×D412yes—
231C22×C3×C4—21no—
232C22×C3×C4—21no—
233C22×C3×C4—21no—
234C22×C3×C4C2×D411yescharacteristic
235C22×C3×C4C2×D411yescharacteristic
236C22×C3×C4C2411yescharacteristic
237C2×#67—24no—
238C2×#67—81no—
239C2×#67—81no—
240C22×Dic3—21no—
241C22×Dic3—21no—
242C22×Dic3—21no—
243C22×Dic3—24no—
244C22×Dic3—21no—
245C22×Dic3—81no—
246C22×Dic3—81no—
247C22×Dic3C2×D411yescharacteristic
248C22×Dic3C2×D411yescharacteristic
249C22×Dic3C2×D411yescharacteristic
250C2×C4×D3—21no—
251C2×C4×D3—21no—
252C2×C4×D3—21no—
253C2×C4×D3—21no—
254C2×C4×D3—21no—
255C2×C4×D3—21no—
256C2×Dic6—24no—
257C2×Dic6—81no—
258C2×Dic6—81no—
259C3×Q16—28no—
260C3×SD16—28no—
261C2×C3×C8—21no—
262C2×C3×C8—21no—
263C2×C3×C8—21no—
264C2×C3×C8—21no—
265C2×C3×C8#4112yes—
266C2×C3×C8#4112yes—
267C3×C4⋊C4—21no—
268C3×C4⋊C4—21no—
269C3×C22⋊C4—24no—
270C3×C22⋊C4—24no—
271C3×C42—21no—
272C3×C42—21no—
273#217—24no—
274#217—24no—
275(C2×D3)⋊C4—24no—
276(C2×D3)⋊C4—24no—
277(C2×D3)⋊C4—22no—
278(C2×D3)⋊C4—22no—
279(C2×D3)⋊C4—81no—
280C4⋊Dic3—24no—
281C4⋊Dic3—21no—
282C4⋊Dic3—21no—
283C4⋊Dic3—21no—
284C4⋊Dic3—24no—
285C4⋊Dic3—21no—
286C4⋊Dic3—21no—
287C4⋊Dic3—42no—
288C4⋊Dic3C2×D412yes—
289C4⋊Dic3C2×D412yes—
290C4⋊Dic3#4112yes—
291Dic3⋊C4—24no—
292Dic3⋊C4—24no—
293Dic3⋊C4—22no—
294Dic3⋊C4—22no—
295Dic3⋊C4—81no—
296C4×Dic3—24no—
297C4×Dic3—42no—
298C4×Dic3—81no—
299C4×Dic3C2×D412yes—
300C4×Dic3C2×D412yes—
301C2×C3⋊C8—21no—
302C2×C3⋊C8—21no—
303C2×C3⋊C8—21no—
304C2×C3⋊C8—21no—
305C2×C3⋊C8—21no—
306C2×C3⋊C8—21no—
307C22×Q8—61no—
308C22×Q8C22×D311yescharacteristic
309C22×Q8C22×D311yescharacteristic
310C22×D4—61no—
311C22×D4C22×D311yescharacteristic
312C23×C4—31no—
313C23×C4—61no—
314C2×Q16—22no—
315C2×Q16—22no—
316C2×Q16—22no—
317C2×SD16—22no—
318C2×SD16—22no—
319C2×SD16—22no—
320C22×C8—31no—
321C22×C8—31no—
322C22×C8C22×D311yescharacteristic
323C22×C8C22×D311yescharacteristic
324C4⋊Q8—62no—
325C4⋊Q8—62no—
326#126—68no—
327#124—22no—
328#124—22no—
329#124—68no—
330#123—68no—
331C22⋊Q8—68no—
332C22⋊Q8—62no—
333C22⋊Q8—62no—
334C22⋊Q8—62no—
335C22⋊Q8—62no—
336#121—62no—
337#121—62no—
338C4×Q8—34no—
339C4×Q8—62no—
340C4×Q8—62no—
341C4×Q8—62no—
342C4×D4—34no—
343C4×D4—62no—
344#117—62no—
345#117—62no—
346C2×C4⋊C4—31no—
347C2×C4⋊C4—31no—
348C2×C4⋊C4—31no—
349C2×C4⋊C4—31no—
350C2×C4⋊C4—31no—
351C2×C4⋊C4—31no—
352C2×C4⋊C4—61no—
353C2×C4⋊C4—61no—
354C2×C4⋊C4—61no—
355C2×C4⋊C4—61no—
356C2×C4⋊C4—61no—
357C2×C4⋊C4—61no—
358C2×C4⋊C4C22×D311yescharacteristic
359C2×C22⋊C4—21no—
360C2×C22⋊C4—21no—
361C2×C22⋊C4—31no—
362C2×C22⋊C4—31no—
363C2×C22⋊C4—61no—
364C2×C22⋊C4—61no—
365C2×C22⋊C4—61no—
366C2×C22⋊C4—61no—
367C2×C22⋊C4—61no—
368C2×C42—31no—
369C2×C42—61no—
370C2×C42—61no—
371C2×C42—61no—
372C2×C42C22×D311yescharacteristic
373#106—62no—
374#106—62no—
375#103—22no—
376#103—62no—
377#103—62no—
378#103—62no—
379#103—62no—
380#102—22no—
381#102—62no—
382#102—62no—
383C22⋊C8—62no—
384C22⋊C8—62no—
385#97—62no—
386C4×C8—62no—
387#95—21no—
388#95—21no—
389#95—61no—
390#95—61no—
391#95—61no—
392C23×C3—22no—
393C23×C3—41no—
394C23×C3—41no—
395C23×C3—41no—
396C23×C3—41no—
397C23×C3—41no—
398C23×C3—41no—
399C23×C3C22×D411yescharacteristic
400C22×D3—21no—
401C22×D3—21no—
402C22×D3—21no—
403C22×D3—21no—
404C22×D3—21no—
405C22×D3—21no—
406C22×D3—21no—
407C3×Q8—22no—
408C3×Q8—22no—
409C3×Q8—22no—
410C3×Q8—22no—
411C3×Q8—41no—
412C3×Q8—41no—
413C3×Q8—41no—
414C3×Q8—41no—
415C3×D4—22no—
416C3×D4—22no—
417C3×D4—41no—
418C3×D4—41no—
419C2×C3×C4—22no—
420C2×C3×C4—21no—
421C2×C3×C4—21no—
422C2×C3×C4—22no—
423C2×C3×C4—21no—
424C2×C3×C4—21no—
425C2×C3×C4—21no—
426C2×C3×C4—21no—
427C2×C3×C4—41no—
428C2×C3×C4—41no—
429C2×C3×C4—41no—
430C2×C3×C4—41no—
431C2×C3×C4—41no—
432C2×C3×C4—41no—
433C2×C3×C4—41no—
434C2×C3×C4C22×D411yescharacteristic
435C2×C3×C4C22×D411yescharacteristic
436C2×C3×C4C2×#4111yescharacteristic
437C2×C3×C4C2×#4111yescharacteristic
438C2×C3×C4C2×#4111yescharacteristic
439C2×C3×C4C2×#4111yescharacteristic
440#67—84no—
441C2×Dic3—21no—
442C2×Dic3—21no—
443C2×Dic3—21no—
444C2×Dic3—21no—
445C2×Dic3—22no—
446C2×Dic3—21no—
447C2×Dic3—22no—
448C2×Dic3—21no—
449C2×Dic3—22no—
450C2×Dic3—21no—
451C2×Dic3—41no—
452C2×Dic3—41no—
453C2×Dic3—41no—
454C2×Dic3—41no—
455C2×Dic3—41no—
456C2×Dic3—41no—
457C2×Dic3—41no—
458C2×Dic3—41no—
459C2×Dic3—41no—
460C2×Dic3—84no—
461C2×Dic3#12012yes—
462C2×Dic3#12012yes—
463C4×D3—41no—
464C4×D3—41no—
465C4×D3—41no—
466C4×D3—41no—
467Dic6—84no—
468C3×C8—22no—
469C3×C8—22no—
470C3⋊C8—41no—
471C3⋊C8—41no—
472C24—21no—
473C24—31no—
474C2×Q8—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—64no—
485C2×Q8—241no—
486C2×Q8—241no—
487C2×Q8D3×D412yes—
488C2×Q8#23712yes—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—21no—
493C2×D4—21no—
494C2×D4—64no—
495C2×D4—241no—
496C2×D4—241no—
497C2×D4D3×D412yes—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—31no—
502C22×C4—31no—
503C22×C4—31no—
504C22×C4—64no—
505C22×C4—61no—
506C22×C4—61no—
507C22×C4—61no—
508C22×C4—61no—
509C22×C4—61no—
510C22×C4—61no—
511C22×C4—61no—
512C22×C4—61no—
513C22×C4—61no—
514C22×C4—61no—
515C22×C4—241no—
516C22×C4—241no—
517C22×C4D3×D411yescharacteristic
518C22×C4D3×D411yescharacteristic
519C22×C4C23×D311yescharacteristic
520Q16—28no—
521SD16—28no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—61no—
527C2×C8—61no—
528C2×C8—61no—
529C2×C8—61no—
530C2×C8—61no—
531C2×C8—61no—
532C2×C8#23712yes—
533C2×C8#23712yes—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—32no—
537C4⋊C4—32no—
538C4⋊C4—32no—
539C4⋊C4—62no—
540C4⋊C4—62no—
541C4⋊C4—64no—
542C4⋊C4—64no—
543C4⋊C4—64no—
544C4⋊C4—64no—
545C4⋊C4—61no—
546C4⋊C4—61no—
547C4⋊C4—61no—
548C4⋊C4—61no—
549C4⋊C4—61no—
550C4⋊C4—122no—
551C4⋊C4—241no—
552C22⋊C4—24no—
553C22⋊C4—24no—
554C22⋊C4—62no—
555C22⋊C4—62no—
556C22⋊C4—64no—
557C22⋊C4—64no—
558C22⋊C4—64no—
559C22⋊C4—64no—
560C22⋊C4—241no—
561C42—21no—
562C42—21no—
563C42—32no—
564C42—32no—
565C42—64no—
566C42—122no—
567C42—241no—
568C22×C3—42no—
569C22×C3—42no—
570C22×C3—42no—
571C22×C3—81no—
572C22×C3—81no—
573C22×C3—81no—
574C22×C3—81no—
575C22×C3C2×#12011yescharacteristic
576C22×C3#52511yescharacteristic
577C22×C3#53211yescharacteristic
578C22×C3#57711yescharacteristic
579C22×C3#57711yescharacteristic
580C22×C3#57711yescharacteristic
581C22×C3#57811yescharacteristic
582C2×D3—41no—
583C2×D3—41no—
584C2×D3—41no—
585C2×D3—41no—
586C2×D3—41no—
587C2×D3—41no—
588C2×D3—41no—
589C3×C4—42no—
590C3×C4—42no—
591C3×C4—41no—
592C3×C4—41no—
593C3×C4—81no—
594C3×C4#52511yescharacteristic
595C3×C4#52511yescharacteristic
596C3×C4#53211yescharacteristic
597C3×C4#53211yescharacteristic
598Dic3—22no—
599Dic3—22no—
600Dic3—42no—
601Dic3—41no—
602Dic3—42no—
603Dic3—42no—
604Dic3—81no—
605C23—22no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—61no—
613C23—61no—
614C23—61no—
615C23—61no—
616C23—61no—
617C23—61no—
618C23—61no—
619C23C2×D3×D411yescharacteristic
620Q8—22no—
621Q8—22no—
622Q8—22no—
623Q8—22no—
624Q8—41no—
625Q8—41no—
626Q8—41no—
627Q8—41no—
628Q8—244no—
629D4—22no—
630D4—22no—
631D4—41no—
632D4—41no—
633D4—244no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—32no—
643C2×C4—32no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—61no—
652C2×C4—61no—
653C2×C4—61no—
654C2×C4—61no—
655C2×C4—61no—
656C2×C4—62no—
657C2×C4—62no—
658C2×C4—61no—
659C2×C4—62no—
660C2×C4—61no—
661C2×C4—121no—
662C2×C4—121no—
663C2×C4—121no—
664C2×C4—121no—
665C2×C4—121no—
666C2×C4—121no—
667C2×C4—121no—
668C2×C4—121no—
669C2×C4—121no—
670C2×C4—121no—
671C2×C4—121no—
672C2×C4—121no—
673C2×C4—121no—
674C2×C4—244no—
675C2×C4C2×D3×D411yescharacteristic
676C2×C4C2×D3×D411yescharacteristic
677C2×C4C2×#23711yescharacteristic
678C2×C4C2×#23711yescharacteristic
679C2×C4C2×#23711yescharacteristic
680C2×C4D3×#4111yescharacteristic
681C8—22no—
682C8—22no—
683C8—121no—
684C8—121no—
685C2×C3—82no—
686C2×C3#238811yescharacteristic
687C2×C3#300911yescharacteristic
688C2×C3#301311yescharacteristic
689C2×C3#312111yescharacteristic
690C2×C3#312511yescharacteristic
691C2×C3#317311yescharacteristic
692C2×C3#317811yescharacteristic
693D3—81no—
694C22—42no—
695C22—42no—
696C22—42no—
697C22—81no—
698C22—81no—
699C22—81no—
700C22—81no—
701C22—121no—
702C22—121no—
703C22—121no—
704C22—121no—
705C22—121no—
706C22—121no—
707C22—121no—
708C22D3×#12011yescharacteristic
709C22#560611yescharacteristic
710C22#571611yescharacteristic
711C22#577011yescharacteristic
712C22#577011yescharacteristic
713C22#577811yescharacteristic
714C22#577911yescharacteristic
715C4—41no—
716C4—41no—
717C4—42no—
718C4—42no—
719C4—62no—
720C4—62no—
721C4—81no—
722C4—122no—
723C4—122no—
724C4—121no—
725C4—122no—
726C4—241no—
727C4#558611yescharacteristic
728C4#558611yescharacteristic
729C4#559611yescharacteristic
730C4#559611yescharacteristic
731C3#2358111yescharacteristic, complemented, Sylow
732C2—82no—
733C2—241no—
734C2#7666511yescharacteristic
735C2#8022911yescharacteristic
736C2#8023211yescharacteristic
737C2#8057211yescharacteristic
738C2#8057511yescharacteristic
739C2#8181011yescharacteristic
740C2#8186211yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2015C2
socleC23×C3C22×D4
prime radicalC2×#938C22
hypercenter#2015D3
hypocenterC3#23581
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2015

Complements

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

NH ≅ G/Ntype
2. C2×#5184C2semidirect
3. C2×Dic3×SD16C2semidirect
4. #76611C2semidirect
5. C3×#2015C2semidirect
6. #72071C2semidirect
8. #71722C2semidirect
9. #70243C2semidirect
10. Dic3×#103C2semidirect
12. #70152C2semidirect
13. #69668C2semidirect
14. #68633C2semidirect
15. #68601C2semidirect
73. #2015D3semidirect
731. C3#23581semidirect

Maximal subgroups

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

subgroupindex
C2×#56822
C2×#51842
C2×Dic3×SD162
#766112
C3×#20152
#720712
#720542
#717222
#702432
Dic3×#1032
#701762
#701522
#696682
#686332
#686012
#235813