Finite Group Databasebeta

← #10823404

Subgroups — #10823404

Order 768.

1188 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5691C211yesmaximal, characteristic
2C2×#4873C211yesmaximal, characteristic, complemented
3C2×#4852C211yesmaximal, characteristic, complemented
4#75965C211yesmaximal, characteristic, complemented
5C3×#2059C211yesmaximal, characteristic, complemented
6#71744C211yesmaximal, characteristic, complemented
7#70634C211yesmaximal, characteristic
8#70582C211yesmaximal, characteristic, complemented
9#69628C211yesmaximal, characteristic, complemented
10#68888C211yesmaximal, characteristic, complemented
11#68887C211yesmaximal, characteristic
12#68781C211yesmaximal, characteristic, complemented
13#68780C211yesmaximal, characteristic, complemented
14#68677C211yesmaximal, characteristic, complemented
15#68599C211yesmaximal, characteristic, complemented
16#23572—31nomaximal, Sylow
17C2×C3×#125C2211yescharacteristic
18C22×Dic12C2211yescharacteristic
19C22×#204C2211yescharacteristic
20#5691—24no—
21#5691—24no—
22C2×#898—21no—
23C2×#897C2211yescharacteristic
24C2×#897C2211yescharacteristic
25C2×#895C2211yescharacteristic
26C2×#894—21no—
27C2×#893—21no—
28C2×#893C2211yescharacteristic
29C2×#892—21no—
30C2×#887C2211yescharacteristic
31C2×#887C2211yescharacteristic
32C2×#875C2211yescharacteristic
33C2×C42×D3C2211yescharacteristic
34C2×C3×#107C2211yescharacteristic
35C2×C3×#106C2211yescharacteristic
36C3×#389C2211yescharacteristic
37C2×#821C2211yescharacteristic
38C2×(C2×D3)⋊C8C2211yescharacteristic
39C2×(C2×D3)⋊C8C2211yescharacteristic
40C2×#816C2211yescharacteristic
41C2×C8×Dic3C2211yescharacteristic
42C2×C8×Dic3C2211yescharacteristic
43#4989—21no—
44#4987C2211yescharacteristic
45Dic3×C4⋊C4—21no—
46Dic3×C4⋊C4C2211yescharacteristic
47C2×#810C2211yescharacteristic
48C2×#810C2211yescharacteristic
49C2×#810C2211yescharacteristic
50C2×#810C2211yescharacteristic
51C2×#809C2211yescharacteristic
52C2×#809C2211yescharacteristic
53#4929C2211yescharacteristic
54#4873—24no—
55#4852—24no—
56#4666—21no—
57#4654—21no—
58C3×#340C2211yescharacteristic
59C3×#340C2211yescharacteristic
60C3×#336C2211yescharacteristic
61#4529C2211yescharacteristic
62#4529C2211yescharacteristic
63#4524C2211yescharacteristic
64C2×#529—31no—
65C2×C4×Q16—31no—
66C2×C4×SD16—31no—
67C4×C22⋊Q8—31no—
68#2059D311yescharacteristic, complemented
69#2042—31no—
70#2035—31no—
71#2033—31no—
72#2026—31no—
73#2015—31no—
74#2001—31no—
75#2000—31no—
76C4×#103—31no—
77C4×#102—31no—
78C4×C22⋊C8—31no—
79C22×D12—21no—
80C22×D12C2311yescharacteristic
81C22×C4×D3—21no—
82C22×C4×D3D411yescharacteristic
83C22×C4×D3D411yescharacteristic
84C22×C4×D3C2311yescharacteristic
85C22×Dic6C2311yescharacteristic
86C22×Dic6C2311yescharacteristic
87C22×C3×C8C2311yescharacteristic
88C22×C3×C8C2311yescharacteristic
89C3×#125—22no—
90C3×#125—22no—
91C2×C3×C4⋊C4—21no—
92C2×C3×C4⋊C4—21no—
93C2×C3×C4⋊C4—21no—
94C2×C3×C4⋊C4C2311yescharacteristic
95C2×C3×C4⋊C4C2311yescharacteristic
96C2×C3×C4⋊C4C2311yescharacteristic
97C2×C3×C4⋊C4C2311yescharacteristic
98C2×C3×C42C2311yescharacteristic
99C2×(C2×D3)⋊C4—21no—
100C2×(C2×D3)⋊C4—21no—
101C2×(C2×D3)⋊C4—21no—
102C2×(C2×D3)⋊C4—21no—
103C2×(C2×D3)⋊C4—21no—
104C2×(C2×D3)⋊C4—21no—
105C2×(C2×D3)⋊C4—21no—
106C2×C4⋊Dic3—21no—
107C2×C4⋊Dic3—21no—
108C2×C4⋊Dic3C2311yescharacteristic
109C2×Dic3⋊C4—21no—
110C2×Dic3⋊C4—21no—
111C2×C4×Dic3—21no—
112C2×C4×Dic3—21no—
113C2×C4×Dic3—21no—
114C2×C4×Dic3D411yescharacteristic
115C2×C4×Dic3D411yescharacteristic
116C2×C4×Dic3C2311yescharacteristic
117C22×C3⋊C8C2311yescharacteristic
118C22×C3⋊C8C2311yescharacteristic
119C2×Dic12—22no—
120C2×Dic12—22no—
121C2×Dic12—22no—
122C2×#204—22no—
123C2×#204—22no—
124C2×#204—22no—
125#898—28no—
126#897—22no—
127#897—22no—
128#897—22no—
129#897—22no—
130#895—22no—
131#895—22no—
132#894—28no—
133#893—28no—
134#893—22no—
135#893D414yes—
136#892—28no—
137#887—22no—
138#887—22no—
139#887—22no—
140#887D414yes—
141#875—22no—
142#875—22no—
143C42×D3—22no—
144C42×D3—22no—
145C3×#107—22no—
146C3×#106—22no—
147C3×#95—21no—
148C3⋊#95—21no—
149C3⋊#95—21no—
150C3⋊#95—21no—
151C3⋊#95—21no—
152#821—22no—
153(C2×D3)⋊C8—22no—
154(C2×D3)⋊C8—22no—
155#816—22no—
156C8×Dic3—22no—
157C8×Dic3—22no—
158#810—22no—
159#810—22no—
160#810—22no—
161#810—22no—
162#809—22no—
163#809—22no—
164C22×Q16—31no—
165C22×SD16—31no—
166#529—64no—
167#529—64no—
168C2×#126—61no—
169C2×#125C2×D311yescharacteristic
170C2×#124—31no—
171C2×#123—61no—
172C2×C22⋊Q8—31no—
173C2×C22⋊Q8—31no—
174C2×#121—31no—
175C2×C4×Q8—31no—
176C2×C4×Q8—31no—
177C2×C4×D4—31no—
178C2×C4×D4—61no—
179C2×#117—61no—
180C22×C42—31no—
181C4×Q16—64no—
182C4×SD16—64no—
183C2×#107C2×D311yescharacteristic
184C2×#106C2×D311yescharacteristic
185C2×#103—31no—
186C2×#103—31no—
187C2×#103—31no—
188C2×#103—31no—
189C2×#103—31no—
190C2×#102—31no—
191C2×#102—31no—
192C2×#102—31no—
193C2×C22⋊C8—31no—
194C2×C22⋊C8—31no—
195C2×C4×C8—31no—
196C2×C4×C8—31no—
197#391—31no—
198#389C2×D311yescharacteristic
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#340C2×D311yescharacteristic
208#340C2×D311yescharacteristic
209#336—31no—
210#336C2×D311yescharacteristic
211C23×D3—21no—
212C23×D3C2×D411yescharacteristic
213C22×C3×C4—21no—
214C22×C3×C4—21no—
215C22×C3×C4—21no—
216C22×C3×C4—21no—
217C22×C3×C4C2×D411yescharacteristic
218C22×C3×C4C2×D411yescharacteristic
219C22×C3×C4C2411yescharacteristic
220C22×Dic3—21no—
221C22×Dic3—21no—
222C22×Dic3—21no—
223C22×Dic3C2×D411yescharacteristic
224C22×Dic3C2×D411yescharacteristic
225C22×Dic3C2×D411yescharacteristic
226C2×D12—21no—
227C2×D12—21no—
228C2×D12—21no—
229C2×D12—21no—
230C2×D12—24no—
231C2×D12—21no—
232C2×D12—42no—
233C2×D12—42no—
234C2×D12C2×D412yes—
235C2×C4×D3—22no—
236C2×C4×D3—21no—
237C2×C4×D3—21no—
238C2×C4×D3—21no—
239C2×C4×D3—21no—
240C2×C4×D3—21no—
241C2×C4×D3—21no—
242C2×C4×D3—22no—
243C2×C4×D3—22no—
244C2×C4×D3—24no—
245C2×C4×D3—22no—
246C2×C4×D3—22no—
247C2×C4×D3—41no—
248C2×C4×D3—42no—
249C2×C4×D3—42no—
250C2×Dic6—21no—
251C2×Dic6—21no—
252C2×Dic6—21no—
253C2×Dic6—21no—
254C2×Dic6—21no—
255C2×Dic6—21no—
256C2×Dic6—21no—
257C2×Dic6—21no—
258C2×Dic6—21no—
259C2×Dic6—21no—
260C2×Dic6C2×D412yes—
261C2×Dic6#4112yes—
262C2×C3×C8—21no—
263C2×C3×C8—21no—
264C2×C3×C8—21no—
265C2×C3×C8—21no—
266C2×C3×C8#4112yes—
267C2×C3×C8#4112yes—
268C3×C4⋊C4—24no—
269C3×C4⋊C4—24no—
270C3×C4⋊C4—21no—
271C3×C4⋊C4—21no—
272C3×C4⋊C4—21no—
273C3×C4⋊C4—21no—
274C3×C4⋊C4—21no—
275C3×C4⋊C4—42no—
276C3×C4⋊C4C2×D412yes—
277C3×C4⋊C4C2×D412yes—
278C3×C4⋊C4#4112yes—
279C3×C42—21no—
280C3×C42—21no—
281(C2×D3)⋊C4—24no—
282(C2×D3)⋊C4—24no—
283(C2×D3)⋊C4—24no—
284(C2×D3)⋊C4—24no—
285(C2×D3)⋊C4—24no—
286(C2×D3)⋊C4—24no—
287(C2×D3)⋊C4—42no—
288C4⋊Dic3—24no—
289C4⋊Dic3—24no—
290C4⋊Dic3—21no—
291C4⋊Dic3—21no—
292Dic3⋊C4—24no—
293Dic3⋊C4—42no—
294C4×Dic3—22no—
295C4×Dic3—22no—
296C4×Dic3—24no—
297C4×Dic3—42no—
298C4×Dic3—42no—
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—
307Dic12—28no—
308#204—28no—
309C22×Q8—31no—
310C22×Q8—31no—
311C22×D4—31no—
312C22×D4—61no—
313C23×C4—31no—
314C23×C4—31no—
315C23×C4—31no—
316C23×C4—61no—
317C2×Q16—62no—
318C2×Q16—62no—
319C2×Q16—62no—
320C2×SD16—62no—
321C2×SD16—62no—
322C2×SD16—62no—
323C22×C8—31no—
324C22×C8—31no—
325C22×C8C22×D311yescharacteristic
326C22×C8C22×D311yescharacteristic
327#126—68no—
328#125—22no—
329#125—22no—
330#124—62no—
331#124—62no—
332#123—68no—
333C22⋊Q8—62no—
334C22⋊Q8—62no—
335C22⋊Q8—62no—
336C22⋊Q8—62no—
337#121—62no—
338#121—62no—
339C4×Q8—34no—
340C4×Q8—62no—
341C4×Q8—62no—
342C4×Q8—62no—
343C4×D4—34no—
344C4×D4—62no—
345C4×D4—68no—
346#117—68no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—31no—
351C2×C4⋊C4—61no—
352C2×C4⋊C4—61no—
353C2×C4⋊C4—61no—
354C2×C4⋊C4—61no—
355C2×C4⋊C4C22×D311yescharacteristic
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×C22⋊C4—61no—
364C2×C22⋊C4—61no—
365C2×C22⋊C4—61no—
366C2×C42—31no—
367C2×C42—31no—
368C2×C42—31no—
369C2×C42—62no—
370C2×C42—62no—
371C2×C42—61no—
372C2×C42—61no—
373C2×C42—61no—
374C2×C42C22×D311yescharacteristic
375#107—22no—
376#106—22no—
377#103—62no—
378#103—62no—
379#103—62no—
380#103—62no—
381#103—62no—
382#102—62no—
383#102—62no—
384#102—62no—
385C22⋊C8—62no—
386C22⋊C8—62no—
387C4×C8—62no—
388C4×C8—62no—
389#95—21no—
390#95—61no—
391#95—61no—
392#95—61no—
393#95—61no—
394C23×C3C22×D411yescharacteristic
395C22×D3—21no—
396C22×D3—21no—
397C22×D3—21no—
398C22×D3—21no—
399C22×D3—21no—
400C22×D3—21no—
401C22×D3—22no—
402C22×D3—41no—
403C22×D3—41no—
404C22×D3—41no—
405C22×D3—41no—
406C22×D3—41no—
407C22×D3—41no—
408C22×D3#13512yes—
409C2×C3×C4—22no—
410C2×C3×C4—21no—
411C2×C3×C4—21no—
412C2×C3×C4—22no—
413C2×C3×C4—22no—
414C2×C3×C4—21no—
415C2×C3×C4—21no—
416C2×C3×C4—21no—
417C2×C3×C4—21no—
418C2×C3×C4—41no—
419C2×C3×C4—41no—
420C2×C3×C4—41no—
421C2×C3×C4—41no—
422C2×C3×C4—41no—
423C2×C3×C4—41no—
424C2×C3×C4—41no—
425C2×C3×C4—41no—
426C2×C3×C4—41no—
427C2×C3×C4C22×D411yescharacteristic
428C2×C3×C4C22×D411yescharacteristic
429C2×C3×C4C2×#4111yescharacteristic
430C2×C3×C4C2×#4111yescharacteristic
431C2×C3×C4C2×#4111yescharacteristic
432C2×C3×C4C2×#4111yescharacteristic
433C2×Dic3—21no—
434C2×Dic3—21no—
435C2×Dic3—21no—
436C2×Dic3—22no—
437C2×Dic3—21no—
438C2×Dic3—22no—
439C2×Dic3—21no—
440C2×Dic3—41no—
441C2×Dic3—41no—
442C2×Dic3—41no—
443C2×Dic3—41no—
444C2×Dic3—41no—
445C2×Dic3—41no—
446C2×Dic3—41no—
447C2×Dic3#12012yes—
448C2×Dic3#12012yes—
449C2×Dic3#13512yes—
450C2×Dic3#13712yes—
451D12—22no—
452D12—22no—
453D12—48no—
454D12—41no—
455D12—41no—
456C4×D3—44no—
457C4×D3—41no—
458C4×D3—41no—
459C4×D3—41no—
460C4×D3—41no—
461C4×D3—44no—
462C4×D3—48no—
463Dic6—22no—
464Dic6—22no—
465Dic6—22no—
466Dic6—22no—
467Dic6—41no—
468Dic6—41no—
469Dic6—41no—
470Dic6—41no—
471C3×C8—22no—
472C3×C8—22no—
473C3⋊C8—41no—
474C3⋊C8—41no—
475C24—31no—
476C24—61no—
477C2×Q8—32no—
478C2×Q8—32no—
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—61no—
488C2×Q8—61no—
489C2×D4—32no—
490C2×D4—64no—
491C2×D4—61no—
492C2×D4—61no—
493C2×D4—61no—
494C2×D4—61no—
495C2×D4—61no—
496C2×D4—122no—
497C2×D4—122no—
498C22×C4—21no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—31no—
503C22×C4—31no—
504C22×C4—31no—
505C22×C4—62no—
506C22×C4—62no—
507C22×C4—64no—
508C22×C4—62no—
509C22×C4—62no—
510C22×C4—62no—
511C22×C4—61no—
512C22×C4—61no—
513C22×C4—61no—
514C22×C4—61no—
515C22×C4—61no—
516C22×C4—61no—
517C22×C4—61no—
518C22×C4—61no—
519C22×C4—61no—
520C22×C4—121no—
521C22×C4—122no—
522C22×C4—122no—
523C22×C4D3×D411yescharacteristic
524C22×C4D3×D411yescharacteristic
525C22×C4C23×D311yescharacteristic
526Q16—68no—
527SD16—68no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—61no—
533C2×C8—61no—
534C2×C8—61no—
535C2×C8—61no—
536C2×C8—61no—
537C2×C8—61no—
538C2×C8#23912yes—
539C2×C8#23912yes—
540C4⋊C4—24no—
541C4⋊C4—24no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—42no—
548C4⋊C4—64no—
549C4⋊C4—64no—
550C4⋊C4—64no—
551C4⋊C4—61no—
552C4⋊C4—61no—
553C4⋊C4—122no—
554C4⋊C4D3×D412yes—
555C4⋊C4D3×D412yes—
556C4⋊C4#23912yes—
557C22⋊C4—64no—
558C22⋊C4—64no—
559C22⋊C4—64no—
560C22⋊C4—64no—
561C22⋊C4—64no—
562C22⋊C4—64no—
563C22⋊C4—122no—
564C42—21no—
565C42—21no—
566C42—32no—
567C42—32no—
568C42—62no—
569C42—62no—
570C42—64no—
571C42—122no—
572C42—122no—
573C22×C3C2×#12011yescharacteristic
574C22×C3#52511yescharacteristic
575C22×C3#53211yescharacteristic
576C22×C3C2×#13511yescharacteristic
577C22×C3C2×#13511yescharacteristic
578C22×C3C2×#13711yescharacteristic
579C22×C3#57511yescharacteristic
580C2×D3—22no—
581C2×D3—22no—
582C2×D3—22no—
583C2×D3—41no—
584C2×D3—41no—
585C2×D3—41no—
586C2×D3—41no—
587C2×D3—42no—
588C2×D3—42no—
589C2×D3—42no—
590C2×D3—81no—
591C2×D3—81no—
592C2×D3—81no—
593C2×D3—81no—
594C3×C4—42no—
595C3×C4—41no—
596C3×C4—42no—
597C3×C4—41no—
598C3×C4—42no—
599C3×C4—81no—
600C3×C4#52511yescharacteristic
601C3×C4#52511yescharacteristic
602C3×C4#53211yescharacteristic
603C3×C4#53211yescharacteristic
604Dic3—22no—
605Dic3—42no—
606Dic3—42no—
607Dic3—41no—
608Dic3—81no—
609Dic3#45214yes—
610C23—32no—
611C23—61no—
612C23—61no—
613C23—61no—
614C23—61no—
615C23—61no—
616C23—61no—
617C23—62no—
618C23—121no—
619C23—121no—
620C23—121no—
621C23—121no—
622C23—121no—
623C23—121no—
624C23C2×D3×D411yescharacteristic
625Q8—62no—
626Q8—62no—
627Q8—62no—
628Q8—62no—
629Q8—121no—
630Q8—121no—
631Q8—121no—
632Q8—121no—
633D4—62no—
634D4—62no—
635D4—128no—
636D4—121no—
637D4—121no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—32no—
648C2×C4—32no—
649C2×C4—32no—
650C2×C4—32no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—61no—
661C2×C4—61no—
662C2×C4—61no—
663C2×C4—61no—
664C2×C4—62no—
665C2×C4—62no—
666C2×C4—61no—
667C2×C4—124no—
668C2×C4—128no—
669C2×C4—124no—
670C2×C4—121no—
671C2×C4—121no—
672C2×C4—121no—
673C2×C4—121no—
674C2×C4—121no—
675C2×C4—121no—
676C2×C4—121no—
677C2×C4—121no—
678C2×C4—121no—
679C2×C4—121no—
680C2×C4—121no—
681C2×C4C2×D3×D411yescharacteristic
682C2×C4C2×D3×D411yescharacteristic
683C2×C4C2×#23911yescharacteristic
684C2×C4C2×#23911yescharacteristic
685C2×C4C2×#23911yescharacteristic
686C2×C4D3×#4111yescharacteristic
687C8—22no—
688C8—22no—
689C8—121no—
690C8—121no—
691C2×C3#238811yescharacteristic
692C2×C3C2×#45211yescharacteristic
693C2×C3#300211yescharacteristic
694C2×C3#310211yescharacteristic
695C2×C3#310811yescharacteristic
696C2×C3#316811yescharacteristic
697C2×C3#317211yescharacteristic
698D3—42no—
699D3—82no—
700C22—62no—
701C22—62no—
702C22—62no—
703C22—121no—
704C22—121no—
705C22—121no—
706C22—121no—
707C22—122no—
708C22—122no—
709C22—122no—
710C22—241no—
711C22—241no—
712C22—241no—
713C22—241no—
714C22D3×#12011yescharacteristic
715C22#562711yescharacteristic
716C22#572511yescharacteristic
717C22D3×#13511yescharacteristic
718C22D3×#13511yescharacteristic
719C22#577311yescharacteristic
720C22D3×#13711yescharacteristic
721C4—34no—
722C4—41no—
723C4—42no—
724C4—41no—
725C4—42no—
726C4—42no—
727C4—62no—
728C4—81no—
729C4—121no—
730C4—122no—
731C4—122no—
732C4—241no—
733C4#562711yescharacteristic
734C4#562711yescharacteristic
735C4#572511yescharacteristic
736C4#572511yescharacteristic
737C3#2357211yescharacteristic, complemented, Sylow
738C2—122no—
739C2—242no—
740C2#7716911yescharacteristic
741C2#8008211yescharacteristic
742C2D3×#45211yescharacteristic
743C2#8114011yescharacteristic
744C2#8120511yescharacteristic
745C2#8190711yescharacteristic
746C2#8195911yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2059C2
socleC23×C3C22×D4
prime radicalC2×#895C22
hypercenter#2059D3
hypocenterC3#23572
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #2059

Complements

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

NH ≅ G/Ntype
2. C2×#4873C2semidirect
3. C2×#4852C2semidirect
4. #75965C2semidirect
5. C3×#2059C2semidirect
6. #71744C2semidirect
8. #70582C2semidirect
9. #69628C2semidirect
10. #68888C2semidirect
12. #68781C2semidirect
13. #68780C2semidirect
14. #68677C2semidirect
15. #68599C2semidirect
68. #2059D3semidirect
737. C3#23572semidirect

Maximal subgroups

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

subgroupindex
C2×#56912
C2×#48732
C2×#48522
#759652
C3×#20592
#717442
#706342
#705822
#696282
#688882
#688872
#687812
#687802
#686772
#685992
#235723