Finite Group Databasebeta

← #10828856

Subgroups — #10828856

Order 768.

1138 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5635C211yesmaximal, characteristic
2C2×D3×#106C211yesmaximal, characteristic, complemented
3C2×#4805C211yesmaximal, characteristic, complemented
4#73911C211yesmaximal, characteristic
5C3×#2035C211yesmaximal, characteristic, complemented
6#71694C211yesmaximal, characteristic, complemented
7#70565C211yesmaximal, characteristic, complemented
8#70270C211yesmaximal, characteristic, complemented
9#70238C211yesmaximal, characteristic, complemented
10#70237C211yesmaximal, characteristic, complemented
11#69957C211yesmaximal, characteristic
12#69928C211yesmaximal, characteristic, complemented
13#69505C211yesmaximal, characteristic, complemented
14#68872C211yesmaximal, characteristic, complemented
15#68827C211yesmaximal, characteristic, complemented
16#24097—31nomaximal, Sylow
17C2×C3×C22⋊Q8C2211yescharacteristic
18C2×#946C2211yescharacteristic
19C2×Q8×Dic3C2211yescharacteristic
20C2×C4×#67C2211yescharacteristic
21C22×C4⋊Dic3C2211yescharacteristic
22C22×D3×C8C2211yescharacteristic
23#5635—24no—
24#5635—24no—
25C2×#897—21no—
26C2×D3×C4⋊C4C2211yescharacteristic
27C2×D3×C4⋊C4C2211yescharacteristic
28C2×#889—21no—
29C2×#888C2211yescharacteristic
30C2×#883—21no—
31C2×#67⋊C4—21no—
32C2×#878—21no—
33C2×C3×#106C2211yescharacteristic
34C2×C3×#103C2211yescharacteristic
35C2×C3×#103C2211yescharacteristic
36C2×C3×C22⋊C8C2211yescharacteristic
37C3×#380C2211yescharacteristic
38C2×#835C2211yescharacteristic
39C2×#835C2211yescharacteristic
40#5212C2211yescharacteristic
41C2×#830C2211yescharacteristic
42C2×(C2×D3)⋊C8C2211yescharacteristic
43C2×#817C2211yescharacteristic
44C2×#817C2211yescharacteristic
45#4987C2211yescharacteristic
46#4984C2211yescharacteristic
47#4972C2211yescharacteristic
48C2×#808C2211yescharacteristic
49C2×#808C2211yescharacteristic
50C2×#808C2211yescharacteristic
51#4952—21no—
52D3×#106—24no—
53#4805—24no—
54#4664—21no—
55#4657—21no—
56C3×#340C2211yescharacteristic
57#4551C2211yescharacteristic
58#4551C2211yescharacteristic
59#4550C2211yescharacteristic
60#4550C2211yescharacteristic
61#4529C2211yescharacteristic
62#4529C2211yescharacteristic
63#4529C2211yescharacteristic
64C2×#554—31no—
65C2×#483—31no—
66C22×#106—31no—
67#2486—31no—
68#2058—31no—
69#2058—31no—
70#2035—31no—
71#2035D311yescharacteristic, complemented
72#1892—31no—
73#1869—31no—
74#1865—31no—
75#1865—31no—
76#1853—31no—
77#1853—31no—
78#1824—31no—
79C22×C3×Q8C2311yescharacteristic
80C23×C3×C4C2311yescharacteristic
81C22×#67D411yescharacteristic
82C23×Dic3—21no—
83C22×C4×D3—21no—
84C22×C4×D3—21no—
85C22×C4×D3C2311yescharacteristic
86C22×Dic6—21no—
87C22×C3×C8C2311yescharacteristic
88C22×C3×C8C2311yescharacteristic
89C3×C22⋊Q8—22no—
90C3×C22⋊Q8—22no—
91C2×C3×C4⋊C4—21no—
92C2×C3×C4⋊C4C2311yescharacteristic
93C2×C3×C4⋊C4C2311yescharacteristic
94C2×C3×C4⋊C4C2311yescharacteristic
95C2×C3×C22⋊C4—21no—
96C2×C3×C22⋊C4—21no—
97C2×#217—21no—
98C2×#217D411yescharacteristic
99#946—22no—
100#946D414yes—
101Q8×Dic3—22no—
102Q8×Dic3—22no—
103C4×#67—22no—
104C4×#67—22no—
105C2×(C2×D3)⋊C4—21no—
106C2×(C2×D3)⋊C4—21no—
107C2×(C2×D3)⋊C4D411yescharacteristic
108C2×C4⋊Dic3—21no—
109C2×C4⋊Dic3—21no—
110C2×C4⋊Dic3—22no—
111C2×C4⋊Dic3—22no—
112C2×C4⋊Dic3—21no—
113C2×C4⋊Dic3C2311yescharacteristic
114C2×C4⋊Dic3C2311yescharacteristic
115C2×C4⋊Dic3C2311yescharacteristic
116C2×C4⋊Dic3C2311yescharacteristic
117C2×Dic3⋊C4—21no—
118C2×Dic3⋊C4—21no—
119C2×Dic3⋊C4—21no—
120C2×Dic3⋊C4—21no—
121C2×Dic3⋊C4—21no—
122C2×Dic3⋊C4D411yescharacteristic
123C2×C4×Dic3—21no—
124C2×C4×Dic3C2311yescharacteristic
125C22×C3⋊C8C2311yescharacteristic
126C22×C3⋊C8C2311yescharacteristic
127C2×D3×C8—22no—
128C2×D3×C8—22no—
129C2×D3×C8—22no—
130#897—28no—
131D3×C4⋊C4—22no—
132D3×C4⋊C4—22no—
133D3×C4⋊C4—22no—
134D3×C4⋊C4D414yes—
135#889—28no—
136#888—22no—
137#888—22no—
138#883—44no—
139#67⋊C4—28no—
140#878—28no—
141C3×#106—22no—
142C3×#103—22no—
143C3×#103—22no—
144C3×C22⋊C8—22no—
145C3×#95—21no—
146#835—22no—
147#835—22no—
148C3⋊#95—21no—
149C3⋊#95—21no—
150C3⋊#95—21no—
151C3⋊#95—21no—
152#830—22no—
153(C2×D3)⋊C8—22no—
154#817—22no—
155#817—22no—
156#808—22no—
157#808—22no—
158#808—22no—
159C23×C8—31no—
160#554—64no—
161#554—64no—
162C2×C4⋊Q8—31no—
163C2×#125—61no—
164C2×#123—61no—
165C2×C22⋊Q8—31no—
166C2×C22⋊Q8—61no—
167C2×C22⋊Q8—61no—
168C2×C22⋊Q8C2×D311yescharacteristic
169C2×C4×Q8—31no—
170C2×C4×D4—31no—
171C2×C4×D4—61no—
172C22×C4⋊C4—31no—
173C22×C4⋊C4—31no—
174C22×C4⋊C4—31no—
175#483—64no—
176C2×#106—31no—
177C2×#106—31no—
178C2×#106—31no—
179C2×#106—31no—
180C2×#106—31no—
181C2×#106—64no—
182C2×#106C2×D311yescharacteristic
183C2×#103—31no—
184C2×#103—31no—
185C2×#103C2×D311yescharacteristic
186C2×#103C2×D311yescharacteristic
187C2×C22⋊C8—31no—
188C2×C22⋊C8—31no—
189C2×C22⋊C8C2×D311yescharacteristic
190#398—61no—
191#397—61no—
192#389—31no—
193#389—31no—
194#381—61no—
195#380—31no—
196#380—31no—
197#380C2×D311yescharacteristic
198#340—31no—
199#340—31no—
200#340—31no—
201#340—31no—
202#340—31no—
203#340C2×D311yescharacteristic
204#336—31no—
205#336—31no—
206C24×C3C2×D411yescharacteristic
207C23×D3C2×D411yescharacteristic
208C2×C3×Q8—21no—
209C2×C3×Q8—21no—
210C2×C3×Q8—21no—
211C2×C3×Q8—21no—
212C2×C3×Q8—21no—
213C2×C3×Q8C2×D412yes—
214C22×C3×C4—21no—
215C22×C3×C4—21no—
216C22×C3×C4—21no—
217C22×C3×C4—21no—
218C22×C3×C4—21no—
219C22×C3×C4—21no—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4—21no—
223C22×C3×C4—21no—
224C22×C3×C4C2×D411yescharacteristic
225C22×C3×C4C2411yescharacteristic
226C2×#67—22no—
227C2×#67—22no—
228C2×#67SD1614yes—
229C22×Dic3—21no—
230C22×Dic3—21no—
231C22×Dic3—24no—
232C22×Dic3—21no—
233C22×Dic3—21no—
234C22×Dic3—81no—
235C22×Dic3—81no—
236C22×Dic3C2×D411yescharacteristic
237C22×Dic3C2×D411yescharacteristic
238C22×Dic3C2×D411yescharacteristic
239C2×C4×D3—21no—
240C2×C4×D3—21no—
241C2×C4×D3—21no—
242C2×C4×D3—21no—
243C2×C4×D3—24no—
244C2×C4×D3—42no—
245C2×C4×D3—42no—
246C2×C4×D3—42no—
247C2×C4×D3—81no—
248C2×C4×D3—81no—
249C2×C4×D3C2×D412yes—
250C2×C4×D3C2×D412yes—
251C2×Dic6—24no—
252C2×Dic6—81no—
253C2×Dic6—81no—
254C2×C3×C8—21no—
255C2×C3×C8—21no—
256C2×C3×C8—21no—
257C2×C3×C8—21no—
258C2×C3×C8—21no—
259C2×C3×C8#4112yes—
260C3×C4⋊C4—24no—
261C3×C4⋊C4—21no—
262C3×C4⋊C4—21no—
263C3×C4⋊C4—21no—
264C3×C4⋊C4—21no—
265C3×C4⋊C4—21no—
266C3×C4⋊C4C2×D412yes—
267C3×C22⋊C4—24no—
268C3×C22⋊C4—42no—
269#217—22no—
270#217—42no—
271(C2×D3)⋊C4—24no—
272(C2×D3)⋊C4—22no—
273(C2×D3)⋊C4—42no—
274C4⋊Dic3—24no—
275C4⋊Dic3—24no—
276C4⋊Dic3—21no—
277C4⋊Dic3—21no—
278C4⋊Dic3—21no—
279C4⋊Dic3—21no—
280C4⋊Dic3—21no—
281C4⋊Dic3—21no—
282C4⋊Dic3—42no—
283C4⋊Dic3C2×D412yes—
284C4⋊Dic3C2×D412yes—
285Dic3⋊C4—24no—
286Dic3⋊C4—24no—
287Dic3⋊C4—24no—
288Dic3⋊C4—22no—
289Dic3⋊C4—42no—
290Dic3⋊C4—42no—
291C4×Dic3—24no—
292C4×Dic3—21no—
293C4×Dic3—21no—
294C2×C3⋊C8—21no—
295C2×C3⋊C8—21no—
296C2×C3⋊C8—21no—
297C2×C3⋊C8—21no—
298C2×C3⋊C8—21no—
299C2×C3⋊C8#4112yes—
300D3×C8—28no—
301C22×Q8—61no—
302C22×Q8C22×D311yescharacteristic
303C22×D4—31no—
304C23×C4—31no—
305C23×C4—61no—
306C23×C4—61no—
307C23×C4—61no—
308C23×C4C22×D311yescharacteristic
309C22×C8—31no—
310C22×C8—31no—
311C22×C8—62no—
312C22×C8—62no—
313C22×C8—62no—
314C22×C8C22×D311yescharacteristic
315C22×C8C22×D311yescharacteristic
316C4⋊Q8—62no—
317C4⋊Q8—62no—
318#125—68no—
319#123—124no—
320C22⋊Q8—22no—
321C22⋊Q8—22no—
322C22⋊Q8—34no—
323C22⋊Q8—68no—
324C22⋊Q8—68no—
325C22⋊Q8—62no—
326C4×Q8—62no—
327C4×Q8—62no—
328C4×D4—68no—
329C4×D4—62no—
330C4×D4—62no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—31no—
333C2×C4⋊C4—31no—
334C2×C4⋊C4—34no—
335C2×C4⋊C4—31no—
336C2×C4⋊C4—31no—
337C2×C4⋊C4—31no—
338C2×C4⋊C4—62no—
339C2×C4⋊C4—62no—
340C2×C4⋊C4—62no—
341C2×C4⋊C4—62no—
342C2×C4⋊C4—62no—
343C2×C4⋊C4—61no—
344C2×C4⋊C4—61no—
345C2×C4⋊C4—61no—
346C2×C4⋊C4—61no—
347C2×C4⋊C4—61no—
348C2×C4⋊C4—61no—
349C2×C4⋊C4—61no—
350C2×C4⋊C4—61no—
351C2×C4⋊C4C22×D311yescharacteristic
352C2×C4⋊C4C22×D311yescharacteristic
353C2×C4⋊C4C22×D311yescharacteristic
354C2×C22⋊C4—21no—
355C2×C22⋊C4—21no—
356C2×C22⋊C4—31no—
357C2×C22⋊C4—31no—
358C2×C22⋊C4—61no—
359C2×C22⋊C4—61no—
360C2×C22⋊C4—61no—
361C2×C42—31no—
362C2×C42—61no—
363#106—22no—
364#106—62no—
365#106—62no—
366#106—62no—
367#106—62no—
368#106—62no—
369#103—22no—
370#103—22no—
371#103—62no—
372#103—62no—
373C22⋊C8—22no—
374C22⋊C8—62no—
375C22⋊C8—62no—
376#95—21no—
377#95—61no—
378#95—61no—
379#95—61no—
380#95—61no—
381C23×C3—21no—
382C23×C3—21no—
383C23×C3—21no—
384C23×C3—21no—
385C23×C3—21no—
386C23×C3—21no—
387C23×C3C2×SD1612yes—
388C23×C3C22×D411yescharacteristic
389C22×D3—21no—
390C22×D3—21no—
391C22×D3—21no—
392C22×D3—21no—
393C22×D3#12012yes—
394C22×D3C2×SD1612yes—
395C22×D3#13712yes—
396C3×Q8—22no—
397C3×Q8—22no—
398C3×Q8—41no—
399C3×Q8—41no—
400C2×C3×C4—22no—
401C2×C3×C4—22no—
402C2×C3×C4—21no—
403C2×C3×C4—21no—
404C2×C3×C4—21no—
405C2×C3×C4—41no—
406C2×C3×C4—41no—
407C2×C3×C4—41no—
408C2×C3×C4—41no—
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—41no—
419C2×C3×C4C22×D411yescharacteristic
420C2×C3×C4C22×D411yescharacteristic
421C2×C3×C4C2×#4111yescharacteristic
422C2×C3×C4C2×#4111yescharacteristic
423C2×C3×C42−1+411yescharacteristic
424C2×C3×C42−1+411yescharacteristic
425#67—28no—
426C2×Dic3—21no—
427C2×Dic3—21no—
428C2×Dic3—21no—
429C2×Dic3—21no—
430C2×Dic3—22no—
431C2×Dic3—21no—
432C2×Dic3—22no—
433C2×Dic3—21no—
434C2×Dic3—21no—
435C2×Dic3—41no—
436C2×Dic3—41no—
437C2×Dic3—41no—
438C2×Dic3—41no—
439C2×Dic3—41no—
440C2×Dic3—41no—
441C2×Dic3—41no—
442C2×Dic3—41no—
443C2×Dic3—41no—
444C2×Dic3—41no—
445C2×Dic3—84no—
446C2×Dic3#12012yes—
447C2×Dic3C2×SD1612yes—
448C4×D3—22no—
449C4×D3—22no—
450C4×D3—22no—
451C4×D3—22no—
452C4×D3—84no—
453C4×D3—84no—
454Dic6—84no—
455C3×C8—22no—
456C3×C8—41no—
457C3⋊C8—22no—
458C3⋊C8—41no—
459C24—31no—
460C24D3×D411yescharacteristic
461C2×Q8—21no—
462C2×Q8—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—64no—
467C2×Q8—241no—
468C2×Q8—241no—
469C2×Q8D3×D412yes—
470C2×D4—34no—
471C2×D4—62no—
472C2×D4—62no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—31no—
484C22×C4—31no—
485C22×C4—32no—
486C22×C4—32no—
487C22×C4—31no—
488C22×C4—64no—
489C22×C4—61no—
490C22×C4—61no—
491C22×C4—61no—
492C22×C4—61no—
493C22×C4—61no—
494C22×C4—61no—
495C22×C4—64no—
496C22×C4—61no—
497C22×C4—61no—
498C22×C4—122no—
499C22×C4—122no—
500C22×C4—122no—
501C22×C4—241no—
502C22×C4—241no—
503C22×C4—241no—
504C22×C4—241no—
505C22×C4D3×D411yescharacteristic
506C22×C4C23×D311yescharacteristic
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—32no—
513C2×C8—68no—
514C2×C8—61no—
515C2×C8—61no—
516C2×C8—61no—
517C2×C8—61no—
518C2×C8—61no—
519C2×C8#23712yes—
520C4⋊C4—24no—
521C4⋊C4—21no—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—32no—
527C4⋊C4—32no—
528C4⋊C4—64no—
529C4⋊C4—62no—
530C4⋊C4—64no—
531C4⋊C4—64no—
532C4⋊C4—64no—
533C4⋊C4—64no—
534C4⋊C4—61no—
535C4⋊C4—61no—
536C4⋊C4—61no—
537C4⋊C4—61no—
538C4⋊C4—61no—
539C4⋊C4—61no—
540C4⋊C4—122no—
541C4⋊C4—122no—
542C4⋊C4—122no—
543C4⋊C4D3×D412yes—
544C22⋊C4—24no—
545C22⋊C4—42no—
546C22⋊C4—62no—
547C22⋊C4—64no—
548C22⋊C4—62no—
549C22⋊C4—122no—
550C22⋊C4—122no—
551C42—64no—
552C42—61no—
553C42—61no—
554C22×C3—22no—
555C22×C3—22no—
556C22×C3—22no—
557C22×C3—41no—
558C22×C3—41no—
559C22×C3—41no—
560C22×C3—41no—
561C22×C3C2×#12011yescharacteristic
562C22×C3#54711yescharacteristic
563C22×C3#54711yescharacteristic
564C22×C3C22×SD1611yescharacteristic
565C22×C3C2×#13711yescharacteristic
566C22×C3#57711yescharacteristic
567C22×C3#57711yescharacteristic
568C2×D3—22no—
569C2×D3—22no—
570C2×D3—22no—
571C2×D3—22no—
572C2×D3—22no—
573C2×D3—22no—
574C2×D3#44814yes—
575C3×C4—41no—
576C3×C4—42no—
577C3×C4—42no—
578C3×C4—81no—
579C3×C4—81no—
580C3×C4#52511yescharacteristic
581C3×C4#53611yescharacteristic
582C3×C4#54711yescharacteristic
583C3×C4#54711yescharacteristic
584Dic3—22no—
585Dic3—22no—
586Dic3—41no—
587Dic3—42no—
588Dic3—42no—
589Dic3—81no—
590Dic3—81no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—32no—
598C23—32no—
599C23—32no—
600C23—61no—
601C23—61no—
602C23—61no—
603C23—61no—
604C23D3×SD1612yes—
605C23C2×D3×D411yescharacteristic
606Q8—22no—
607Q8—22no—
608Q8—41no—
609Q8—41no—
610Q8—244no—
611D4—68no—
612C2×C4—21no—
613C2×C4—22no—
614C2×C4—22no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—32no—
618C2×C4—32no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
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—41no—
633C2×C4—61no—
634C2×C4—61no—
635C2×C4—61no—
636C2×C4—61no—
637C2×C4—62no—
638C2×C4—62no—
639C2×C4—62no—
640C2×C4—62no—
641C2×C4—61no—
642C2×C4—61no—
643C2×C4—61no—
644C2×C4—62no—
645C2×C4—62no—
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—244no—
657C2×C4—244no—
658C2×C4—244no—
659C2×C4C2×D3×D411yescharacteristic
660C2×C4C2×D3×D411yescharacteristic
661C2×C4C2×#23711yescharacteristic
662C2×C4D3×#4111yescharacteristic
663C2×C4#101011yescharacteristic
664C2×C4#101011yescharacteristic
665C8—22no—
666C8—41no—
667C8—62no—
668C8—121no—
669C2×C3—42no—
670C2×C3#240611yescharacteristic
671C2×C3C2×#44811yescharacteristic
672C2×C3#300911yescharacteristic
673C2×C3#333511yescharacteristic
674C2×C3#333511yescharacteristic
675C2×C3#334411yescharacteristic
676C2×C3#334411yescharacteristic
677D3—24no—
678C22—22no—
679C22—22no—
680C22—22no—
681C22—34no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—62no—
687C22—62no—
688C22—62no—
689C22—62no—
690C22—62no—
691C22—62no—
692C22D3×#12011yescharacteristic
693C22#561111yescharacteristic
694C22#565511yescharacteristic
695C22C2×D3×SD1611yescharacteristic
696C22#577011yescharacteristic
697C22D3×#13711yescharacteristic
698C22#577811yescharacteristic
699C4—41no—
700C4—42no—
701C4—42no—
702C4—62no—
703C4—62no—
704C4—81no—
705C4—81no—
706C4—121no—
707C4—122no—
708C4—122no—
709C4—241no—
710C4—241no—
711C4#560611yescharacteristic
712C4#561111yescharacteristic
713C4#565511yescharacteristic
714C4#567511yescharacteristic
715C3#2409711yescharacteristic, complemented, Sylow
716C2—42no—
717C2—64no—
718C2#7710711yescharacteristic
719C2D3×#44811yescharacteristic
720C2#8022911yescharacteristic
721C2#8064811yescharacteristic
722C2#8091911yescharacteristic
723C2#8143511yescharacteristic
724C2#8153411yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2035C2
socleC23×C3C22×D4
prime radicalC22×#67D4
hypercenter#2035D3
hypocenterC3#24097
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C23×C4 ◁ #2035

Complements

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

NH ≅ G/Ntype
2. C2×D3×#106C2semidirect
3. C2×#4805C2semidirect
5. C3×#2035C2semidirect
6. #71694C2semidirect
7. #70565C2semidirect
8. #70270C2semidirect
9. #70238C2semidirect
10. #70237C2semidirect
12. #69928C2semidirect
13. #69505C2semidirect
14. #68872C2semidirect
15. #68827C2semidirect
71. #2035D3semidirect
715. C3#24097semidirect

Maximal subgroups

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

subgroupindex
C2×#56352
C2×D3×#1062
C2×#48052
#739112
C3×#20352
#716942
#705652
#702702
#702382
#702372
#699572
#699282
#695052
#688722
#688272
#240973