Finite Group Databasebeta

← #10828782

Subgroups — #10828782

Order 768.

1164 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5614C211yesmaximal, characteristic
2C2×D3×#106C211yesmaximal, characteristic, complemented
3C2×#4774C211yesmaximal, characteristic, complemented
4#73911C211yesmaximal, characteristic, complemented
5C3×#2034C211yesmaximal, characteristic, complemented
6#71680C211yesmaximal, characteristic, complemented
7#70566C211yesmaximal, characteristic, complemented
8#70202C211yesmaximal, characteristic, complemented
9#70170C211yesmaximal, characteristic, complemented
10#70169C211yesmaximal, characteristic, complemented
11#69957C211yesmaximal, characteristic, complemented
12#69929C211yesmaximal, characteristic, complemented
13#69506C211yesmaximal, characteristic, complemented
14#68872C211yesmaximal, characteristic, complemented
15#68829C211yesmaximal, characteristic, complemented
16#24091—31nomaximal, Sylow
17C2×C3×#121C2211yescharacteristic
18C2×#938—21no—
19C2×#938C2211yescharacteristic
20C2×#935—21no—
21C2×D4×Dic3C2211yescharacteristic
22C2×C4×#67C2211yescharacteristic
23C2×#926C2211yescharacteristic
24C22×D3×C8C2211yescharacteristic
25#5614—24no—
26#5614—24no—
27C2×D3×C4⋊C4C2211yescharacteristic
28C2×D3×C4⋊C4C2211yescharacteristic
29C2×#890C2211yescharacteristic
30C2×#883—21no—
31C2×#67⋊C4—21no—
32C2×#879—21no—
33C2×C3×#106C2211yescharacteristic
34C2×C3×#102C2211yescharacteristic
35C2×C3×#102C2211yescharacteristic
36C2×C3×C22⋊C8C2211yescharacteristic
37C3×#380C2211yescharacteristic
38C2×#832C2211yescharacteristic
39C2×#832C2211yescharacteristic
40#5212C2211yescharacteristic
41C2×#830C2211yescharacteristic
42C2×(C2×D3)⋊C8C2211yescharacteristic
43C2×#818C2211yescharacteristic
44C2×#817C2211yescharacteristic
45#4987C2211yescharacteristic
46#4984C2211yescharacteristic
47#4972C2211yescharacteristic
48C2×#808C2211yescharacteristic
49C2×#808C2211yescharacteristic
50C2×#807C2211yescharacteristic
51#4952—21no—
52D3×#106—24no—
53#4774—24no—
54#4664—21no—
55#4657—21no—
56C3×#340C2211yescharacteristic
57#4551C2211yescharacteristic
58#4551C2211yescharacteristic
59#4550C2211yescharacteristic
60#4550C2211yescharacteristic
61#4529C2211yescharacteristic
62#4529C2211yescharacteristic
63#4529C2211yescharacteristic
64C2×#553—31no—
65C2×#480—31no—
66C22×#106—31no—
67#2486—31no—
68#2059—31no—
69#2059—31no—
70#2034—31no—
71#2034D311yescharacteristic, complemented
72#1893—31no—
73#1869—31no—
74#1864—31no—
75#1864—31no—
76#1854—31no—
77#1854—31no—
78#1824—31no—
79C22×C3×D4—21no—
80C22×C3×D4C2311yescharacteristic
81C23×C3×C4C2311yescharacteristic
82C22×#67—21no—
83C22×#67D411yescharacteristic
84C23×Dic3—21no—
85C22×C4×D3—21no—
86C22×C4×D3—21no—
87C22×C4×D3C2311yescharacteristic
88C22×C3×C8C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C3×#121—22no—
91C3×#121—22no—
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×#217—21no—
99C2×#217—21no—
100C2×#217—21no—
101C2×#217D411yescharacteristic
102#938—28no—
103#938—22no—
104#938D414yes—
105#935—28no—
106D4×Dic3—22no—
107D4×Dic3—22no—
108C4×#67—22no—
109C4×#67—22no—
110C2×(C2×D3)⋊C4—21no—
111C2×(C2×D3)⋊C4D411yescharacteristic
112#926—22no—
113#926—22no—
114C2×C4⋊Dic3—21no—
115C2×C4⋊Dic3—21no—
116C2×C4⋊Dic3C2311yescharacteristic
117C2×C4⋊Dic3C2311yescharacteristic
118C2×C4⋊Dic3C2311yescharacteristic
119C2×C4⋊Dic3C2311yescharacteristic
120C2×Dic3⋊C4—21no—
121C2×Dic3⋊C4—21no—
122C2×Dic3⋊C4—21no—
123C2×Dic3⋊C4—21no—
124C2×Dic3⋊C4D411yescharacteristic
125C2×C4×Dic3—21no—
126C2×C4×Dic3C2311yescharacteristic
127C22×C3⋊C8C2311yescharacteristic
128C22×C3⋊C8C2311yescharacteristic
129C2×D3×C8—22no—
130C2×D3×C8—22no—
131C2×D3×C8—22no—
132D3×C4⋊C4—22no—
133D3×C4⋊C4—22no—
134D3×C4⋊C4—22no—
135D3×C4⋊C4D414yes—
136#890—22no—
137#890—22no—
138#883—44no—
139#67⋊C4—28no—
140#879—28no—
141C3×#106—22no—
142C3×#102—22no—
143C3×#102—22no—
144C3×C22⋊C8—22no—
145C3×#95—21no—
146#832—22no—
147#832—22no—
148C3⋊#95—21no—
149C3⋊#95—21no—
150C3⋊#95—21no—
151C3⋊#95—21no—
152#830—22no—
153(C2×D3)⋊C8—22no—
154#818—22no—
155#817—22no—
156#808—22no—
157#808—22no—
158#807—22no—
159C23×C8—31no—
160#553—64no—
161#553—64no—
162C2×#126—61no—
163C2×#125—31no—
164C2×#123—61no—
165C2×#123—61no—
166C2×#121—31no—
167C2×#121—61no—
168C2×#121C2×D311yescharacteristic
169C2×C4×D4—31no—
170C2×C4×D4—31no—
171C2×C4×D4—61no—
172C2×#117—31no—
173C22×C4⋊C4—31no—
174C22×C4⋊C4—31no—
175#480—64no—
176C2×#107—31no—
177C2×#107—31no—
178C2×#106—31no—
179C2×#106—31no—
180C2×#106—31no—
181C2×#106—64no—
182C2×#106C2×D311yescharacteristic
183C2×#102—31no—
184C2×#102—31no—
185C2×#102C2×D311yescharacteristic
186C2×#102C2×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×C3—21no—
207C24×C3C2×D411yescharacteristic
208C23×D3C2×D411yescharacteristic
209C2×C3×D4—24no—
210C2×C3×D4—21no—
211C2×C3×D4—21no—
212C2×C3×D4—21no—
213C2×C3×D4—21no—
214C2×C3×D4—21no—
215C2×C3×D4—81no—
216C2×C3×D4—81no—
217C2×C3×D4C2×D412yes—
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×C4—21no—
225C22×C3×C4—21no—
226C22×C3×C4—21no—
227C22×C3×C4C2×D411yescharacteristic
228C22×C3×C4C2411yescharacteristic
229C2×#67—24no—
230C2×#67—22no—
231C2×#67—22no—
232C2×#67—22no—
233C2×#67—42no—
234C2×#67—42no—
235C22×Dic3—21no—
236C22×Dic3—21no—
237C22×Dic3—24no—
238C22×Dic3—21no—
239C22×Dic3—21no—
240C22×Dic3—81no—
241C22×Dic3—81no—
242C22×Dic3C2×D411yescharacteristic
243C22×Dic3C2×D411yescharacteristic
244C22×Dic3C2×D411yescharacteristic
245C2×C4×D3—21no—
246C2×C4×D3—21no—
247C2×C4×D3—21no—
248C2×C4×D3—21no—
249C2×C4×D3—24no—
250C2×C4×D3—42no—
251C2×C4×D3—42no—
252C2×C4×D3—42no—
253C2×C4×D3—81no—
254C2×C4×D3—81no—
255C2×C4×D3C2×D412yes—
256C2×C4×D3C2×D412yes—
257C2×C3×C8—21no—
258C2×C3×C8—21no—
259C2×C3×C8—21no—
260C2×C3×C8—21no—
261C2×C3×C8—21no—
262C2×C3×C8#4112yes—
263C3×C4⋊C4—21no—
264C3×C4⋊C4—21no—
265C3×C4⋊C4—21no—
266C3×C4⋊C4—21no—
267C3×C4⋊C4—21no—
268C3×C4⋊C4C2×D412yes—
269C3×C22⋊C4—24no—
270C3×C22⋊C4—42no—
271#217—24no—
272#217—24no—
273#217—24no—
274#217—22no—
275#217—42no—
276(C2×D3)⋊C4—22no—
277(C2×D3)⋊C4—42no—
278C4⋊Dic3—24no—
279C4⋊Dic3—21no—
280C4⋊Dic3—21no—
281C4⋊Dic3—21no—
282C4⋊Dic3—21no—
283C4⋊Dic3—21no—
284C4⋊Dic3—21no—
285C4⋊Dic3—42no—
286C4⋊Dic3C2×D412yes—
287C4⋊Dic3C2×D412yes—
288Dic3⋊C4—24no—
289Dic3⋊C4—22no—
290Dic3⋊C4—24no—
291Dic3⋊C4—42no—
292Dic3⋊C4—42no—
293C4×Dic3—24no—
294C4×Dic3—21no—
295C4×Dic3—21no—
296C2×C3⋊C8—21no—
297C2×C3⋊C8—21no—
298C2×C3⋊C8—21no—
299C2×C3⋊C8—21no—
300C2×C3⋊C8—21no—
301C2×C3⋊C8#4112yes—
302D3×C8—28no—
303C22×D4—21no—
304C22×D4—31no—
305C22×D4—61no—
306C22×D4C22×D311yescharacteristic
307C23×C4—31no—
308C23×C4—61no—
309C23×C4—61no—
310C23×C4—61no—
311C23×C4C22×D311yescharacteristic
312C22×C8—31no—
313C22×C8—31no—
314C22×C8—62no—
315C22×C8—62no—
316C22×C8—62no—
317C22×C8C22×D311yescharacteristic
318C22×C8C22×D311yescharacteristic
319#126—68no—
320#125—62no—
321#125—62no—
322#123—68no—
323#123—124no—
324#121—22no—
325#121—22no—
326#121—34no—
327#121—62no—
328#121—68no—
329C4×D4—68no—
330C4×D4—62no—
331C4×D4—62no—
332C4×D4—62no—
333C4×D4—62no—
334#117—62no—
335#117—62no—
336C2×C4⋊C4—31no—
337C2×C4⋊C4—31no—
338C2×C4⋊C4—34no—
339C2×C4⋊C4—31no—
340C2×C4⋊C4—31no—
341C2×C4⋊C4—31no—
342C2×C4⋊C4—62no—
343C2×C4⋊C4—62no—
344C2×C4⋊C4—62no—
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×C22⋊C4—61no—
362C2×C22⋊C4—61no—
363C2×C42—31no—
364C2×C42—61no—
365#107—62no—
366#107—62no—
367#106—22no—
368#106—62no—
369#106—62no—
370#106—62no—
371#102—22no—
372#102—22no—
373#102—62no—
374#102—62no—
375C22⋊C8—22no—
376C22⋊C8—62no—
377C22⋊C8—62no—
378#95—21no—
379#95—61no—
380#95—61no—
381#95—61no—
382#95—61no—
383C23×C3—21no—
384C23×C3—22no—
385C23×C3—21no—
386C23×C3—21no—
387C23×C3—21no—
388C23×C3—21no—
389C23×C3—21no—
390C23×C3—21no—
391C23×C3—41no—
392C23×C3—41no—
393C23×C3—41no—
394C23×C3—41no—
395C23×C3—41no—
396C23×C3—41no—
397C23×C3C22×D411yescharacteristic
398C22×D3—21no—
399C22×D3—21no—
400C22×D3—21no—
401C22×D3—21no—
402C22×D3#12012yes—
403C22×D3#13512yes—
404C22×D3AGL(1,ℤ/8)12yes—
405C3×D4—22no—
406C3×D4—22no—
407C3×D4—41no—
408C3×D4—41no—
409C3×D4—84no—
410C2×C3×C4—21no—
411C2×C3×C4—22no—
412C2×C3×C4—21no—
413C2×C3×C4—21no—
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—41no—
423C2×C3×C4—41no—
424C2×C3×C4—41no—
425C2×C3×C4—41no—
426C2×C3×C4C22×D411yescharacteristic
427C2×C3×C4C22×D411yescharacteristic
428C2×C3×C4C2×#4111yescharacteristic
429C2×C3×C4C2×#4111yescharacteristic
430C2×C3×C42−1+411yescharacteristic
431C2×C3×C42−1+411yescharacteristic
432#67—44no—
433#67—48no—
434C2×Dic3—21no—
435C2×Dic3—21no—
436C2×Dic3—21no—
437C2×Dic3—21no—
438C2×Dic3—22no—
439C2×Dic3—22no—
440C2×Dic3—21no—
441C2×Dic3—21no—
442C2×Dic3—21no—
443C2×Dic3—21no—
444C2×Dic3—41no—
445C2×Dic3—41no—
446C2×Dic3—41no—
447C2×Dic3—41no—
448C2×Dic3—41no—
449C2×Dic3—41no—
450C2×Dic3—41no—
451C2×Dic3—41no—
452C2×Dic3—41no—
453C2×Dic3—41no—
454C2×Dic3—84no—
455C2×Dic3#12012yes—
456C4×D3—22no—
457C4×D3—22no—
458C4×D3—22no—
459C4×D3—22no—
460C4×D3—84no—
461C4×D3—84no—
462C3×C8—22no—
463C3×C8—41no—
464C3⋊C8—22no—
465C3⋊C8—41no—
466C24—21no—
467C24—31no—
468C24D3×D411yescharacteristic
469C2×D4—24no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—64no—
476C2×D4—62no—
477C2×D4—62no—
478C2×D4—62no—
479C2×D4—81no—
480C2×D4—81no—
481C2×D4—122no—
482C2×D4—122no—
483C2×D4D3×D412yes—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—31no—
494C22×C4—32no—
495C22×C4—32no—
496C22×C4—31no—
497C22×C4—31no—
498C22×C4—64no—
499C22×C4—61no—
500C22×C4—61no—
501C22×C4—61no—
502C22×C4—61no—
503C22×C4—61no—
504C22×C4—61no—
505C22×C4—64no—
506C22×C4—61no—
507C22×C4—61no—
508C22×C4—122no—
509C22×C4—122no—
510C22×C4—122no—
511C22×C4—241no—
512C22×C4—241no—
513C22×C4—241no—
514C22×C4—241no—
515C22×C4D3×D411yescharacteristic
516C22×C4C23×D311yescharacteristic
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—32no—
523C2×C8—68no—
524C2×C8—61no—
525C2×C8—61no—
526C2×C8—61no—
527C2×C8—61no—
528C2×C8—61no—
529C2×C8#23712yes—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—32no—
536C4⋊C4—32no—
537C4⋊C4—64no—
538C4⋊C4—62no—
539C4⋊C4—64no—
540C4⋊C4—64no—
541C4⋊C4—61no—
542C4⋊C4—61no—
543C4⋊C4—61no—
544C4⋊C4—61no—
545C4⋊C4—61no—
546C4⋊C4—61no—
547C4⋊C4—122no—
548C4⋊C4—122no—
549C4⋊C4—122no—
550C4⋊C4D3×D412yes—
551C22⋊C4—24no—
552C22⋊C4—42no—
553C22⋊C4—62no—
554C22⋊C4—62no—
555C22⋊C4—64no—
556C22⋊C4—64no—
557C22⋊C4—64no—
558C22⋊C4—122no—
559C22⋊C4—122no—
560C42—64no—
561C42—61no—
562C42—61no—
563C22×C3—41no—
564C22×C3—41no—
565C22×C3—41no—
566C22×C3—41no—
567C22×C3—41no—
568C22×C3—42no—
569C22×C3—41no—
570C22×C3—42no—
571C22×C3—42no—
572C22×C3—41no—
573C22×C3—81no—
574C22×C3—81no—
575C22×C3—81no—
576C22×C3—81no—
577C22×C3C2×#12011yescharacteristic
578C22×C3#54711yescharacteristic
579C22×C3#54711yescharacteristic
580C22×C3C2×#13511yescharacteristic
581C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
582C22×C3#57711yescharacteristic
583C22×C3#57711yescharacteristic
584C2×D3—22no—
585C2×D3—22no—
586C2×D3—22no—
587C2×D3—22no—
588C2×D3—22no—
589C2×D3—22no—
590C2×D3#44914yes—
591C3×C4—41no—
592C3×C4—42no—
593C3×C4—81no—
594C3×C4—81no—
595C3×C4#52511yescharacteristic
596C3×C4#53611yescharacteristic
597C3×C4#54711yescharacteristic
598C3×C4#54711yescharacteristic
599Dic3—22no—
600Dic3—41no—
601Dic3—42no—
602Dic3—42no—
603Dic3—41no—
604Dic3—81no—
605Dic3—81no—
606C23—21no—
607C23—21no—
608C23—21no—
609C23—21no—
610C23—21no—
611C23—22no—
612C23—21no—
613C23—21no—
614C23—32no—
615C23—32no—
616C23—32no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—61no—
624C23—61no—
625C23—61no—
626C23—61no—
627C23C2×D3×D411yescharacteristic
628D4—22no—
629D4—22no—
630D4—41no—
631D4—41no—
632D4—84no—
633D4—124no—
634D4—128no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—22no—
638C2×C4—21no—
639C2×C4—32no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—41no—
652C2×C4—61no—
653C2×C4—61no—
654C2×C4—62no—
655C2×C4—62no—
656C2×C4—62no—
657C2×C4—62no—
658C2×C4—61no—
659C2×C4—61no—
660C2×C4—61no—
661C2×C4—61no—
662C2×C4—62no—
663C2×C4—62no—
664C2×C4—61no—
665C2×C4—61no—
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—121no—
675C2×C4—121no—
676C2×C4—244no—
677C2×C4—244no—
678C2×C4—244no—
679C2×C4C2×D3×D411yescharacteristic
680C2×C4C2×D3×D411yescharacteristic
681C2×C4C2×#23711yescharacteristic
682C2×C4D3×#4111yescharacteristic
683C2×C4#101011yescharacteristic
684C2×C4#101011yescharacteristic
685C8—22no—
686C8—41no—
687C8—62no—
688C8—121no—
689C2×C3—81no—
690C2×C3—82no—
691C2×C3#240611yescharacteristic
692C2×C3C2×#44911yescharacteristic
693C2×C3#300911yescharacteristic
694C2×C3#333711yescharacteristic
695C2×C3#333711yescharacteristic
696C2×C3#334511yescharacteristic
697C2×C3#334511yescharacteristic
698D3—24no—
699C22—34no—
700C22—42no—
701C22—41no—
702C22—41no—
703C22—41no—
704C22—42no—
705C22—41no—
706C22—41no—
707C22—42no—
708C22—41no—
709C22—41no—
710C22—62no—
711C22—62no—
712C22—62no—
713C22—62no—
714C22—62no—
715C22—62no—
716C22—81no—
717C22—81no—
718C22—81no—
719C22—81no—
720C22D3×#12011yescharacteristic
721C22#561111yescharacteristic
722C22#565511yescharacteristic
723C22#576211yescharacteristic
724C22D3×#13511yescharacteristic
725C22D3×AGL(1,ℤ/8)11yescharacteristic
726C22#577511yescharacteristic
727C4—42no—
728C4—41no—
729C4—62no—
730C4—81no—
731C4—81no—
732C4—121no—
733C4—122no—
734C4—121no—
735C4—122no—
736C4—241no—
737C4—241no—
738C4#560611yescharacteristic
739C4#561111yescharacteristic
740C4#565511yescharacteristic
741C4#567511yescharacteristic
742C3#2409111yescharacteristic, complemented, Sylow
743C2—64no—
744C2—81no—
745C2—82no—
746C2#7710711yescharacteristic
747C2D3×#44911yescharacteristic
748C2#8014811yescharacteristic
749C2#8067311yescharacteristic
750C2#8087911yescharacteristic
751C2#8133511yescharacteristic
752C2#8138711yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2034C2
socleC23×C3C22×D4
prime radicalC2×#5614C2
hypercenter#2034D3
hypocenterC3#24091
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C23×C4 ◁ #2034

Complements

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

NH ≅ G/Ntype
2. C2×D3×#106C2semidirect
3. C2×#4774C2semidirect
4. #73911C2semidirect
5. C3×#2034C2semidirect
6. #71680C2semidirect
7. #70566C2semidirect
8. #70202C2semidirect
9. #70170C2semidirect
10. #70169C2semidirect
11. #69957C2semidirect
12. #69929C2semidirect
13. #69506C2semidirect
14. #68872C2semidirect
15. #68829C2semidirect
71. #2034D3semidirect
742. C3#24091semidirect

Maximal subgroups

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

subgroupindex
C2×#56142
C2×D3×#1062
C2×#47742
#739112
C3×#20342
#716802
#705662
#702022
#701702
#701692
#699572
#699292
#695062
#688722
#688292
#240913