Finite Group Databasebeta

← #10829983

Subgroups — #10829983

Order 768.

1146 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×#5681C211yesmaximal, characteristic
2C2×Dic3×Q16C211yesmaximal, characteristic, complemented
3C2×#5163C211yesmaximal, characteristic
4#76548C211yesmaximal, characteristic, complemented
5C3×#2015C211yesmaximal, characteristic, complemented
6#72072C211yesmaximal, characteristic, complemented
7#72047C211yesmaximal, characteristic, complemented
8#71722C211yesmaximal, characteristic, complemented
9#70245C211yesmaximal, characteristic, complemented
10#70221C211yesmaximal, characteristic, complemented
11#70168C211yesmaximal, characteristic, complemented
12#70157C211yesmaximal, characteristic
13#69687C211yesmaximal, characteristic, complemented
14#68670C211yesmaximal, characteristic, complemented
15#68619C211yesmaximal, characteristic, complemented
16#24190—31nomaximal, Sylow
17C22×C3×Q16C2211yescharacteristic
18C22×C3×SD16C2211yescharacteristic
19C2×C3×#124C2211yescharacteristic
20C2×#947C2211yescharacteristic
21C2×Q8×Dic3C2211yescharacteristic
22C2×Q8×Dic3C2211yescharacteristic
23C22×#215C2211yescharacteristic
24C2×#940C2211yescharacteristic
25C2×D4×Dic3C2211yescharacteristic
26#5681—24no—
27#5681—24no—
28C2×#886—21no—
29C2×#885—21no—
30C2×#883—21no—
31C2×#67⋊C4—21no—
32C2×C4×D12C2211yescharacteristic
33C2×C4×Dic6C2211yescharacteristic
34C2×C3×#103C2211yescharacteristic
35C2×C3×#102C2211yescharacteristic
36C3×#391C2211yescharacteristic
37#5229C2211yescharacteristic
38C2×#835C2211yescharacteristic
39C2×#835C2211yescharacteristic
40C2×#835C2211yescharacteristic
41C2×#832C2211yescharacteristic
42C2×#832C2211yescharacteristic
43Dic3×Q16—24no—
44#5163—24no—
45C2×#821C2211yescharacteristic
46C2×#821C2211yescharacteristic
47C2×#818C2211yescharacteristic
48C2×Dic3⋊C8C2211yescharacteristic
49C2×C8×Dic3C2211yescharacteristic
50#4984C2211yescharacteristic
51#4975C2211yescharacteristic
52C2×#809C2211yescharacteristic
53#4928C2211yescharacteristic
54#4661—21no—
55#4657—21no—
56#4647—21no—
57#4646—21no—
58C3×#336C2211yescharacteristic
59#4551C2211yescharacteristic
60#4550C2211yescharacteristic
61#4550C2211yescharacteristic
62#4529C2211yescharacteristic
63#4524C2211yescharacteristic
64C2×#559—31no—
65C2×#460—31no—
66C2×C4×Q16—31no—
67#2582—31no—
68#2042—31no—
69#2042—31no—
70#2015—31no—
71#2015D311yescharacteristic, complemented
72#1984—31no—
73#1957—31no—
74#1877—31no—
75#1877—31no—
76#1862—31no—
77#1862—31no—
78#1803—31no—
79C22×C3×Q8C2311yescharacteristic
80C22×C3×Q8C2311yescharacteristic
81C22×C3×D4C2311yescharacteristic
82C22×#67—21no—
83C22×#67—21no—
84C23×Dic3—21no—
85C22×D12C2311yescharacteristic
86C22×C4×D3—21no—
87C22×Dic6D411yescharacteristic
88C2×C3×Q16—22no—
89C2×C3×Q16—22no—
90C2×C3×Q16—22no—
91C2×C3×SD16—22no—
92C2×C3×SD16—22no—
93C2×C3×SD16—41no—
94C22×C3×C8C2311yescharacteristic
95C22×C3×C8C2311yescharacteristic
96C3×#124—22no—
97C3×#124—22no—
98C2×C3×C4⋊C4C2311yescharacteristic
99C2×C3×C22⋊C4—21no—
100C2×C3×C22⋊C4—21no—
101C2×C3×C42C2311yescharacteristic
102C2×#217—21no—
103#947—22no—
104#947—22no—
105Q8×Dic3—22no—
106Q8×Dic3—22no—
107Q8×Dic3—22no—
108Q8×Dic3D414yes—
109C2×#215—22no—
110C2×#215—22no—
111C2×#215—41no—
112#940—22no—
113#940D414yes—
114D4×Dic3—22no—
115D4×Dic3—22no—
116C2×(C2×D3)⋊C4—21no—
117C2×(C2×D3)⋊C4—21no—
118C2×(C2×D3)⋊C4—21no—
119C2×C4⋊Dic3—21no—
120C2×C4⋊Dic3—21no—
121C2×C4⋊Dic3—21no—
122C2×C4⋊Dic3D411yescharacteristic
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×Dic3C2311yescharacteristic
134C2×C4×Dic3C2311yescharacteristic
135C22×C3⋊C8C2311yescharacteristic
136C22×C3⋊C8C2311yescharacteristic
137#886—28no—
138#885—28no—
139#883—28no—
140#67⋊C4—28no—
141C4×D12—22no—
142C4×D12—22no—
143C4×Dic6—22no—
144C4×Dic6—22no—
145C3×#103—41no—
146C3×#102—22no—
147C3×#95—21no—
148C3×#95—21no—
149#835—22no—
150#835—22no—
151#835—41no—
152#832—22no—
153#832—41no—
154C3⋊#95—21no—
155C3⋊#95—21no—
156C3⋊#95—21no—
157C3⋊#95—21no—
158#821—22no—
159#821—22no—
160#818—22no—
161Dic3⋊C8—22no—
162C8×Dic3—22no—
163#809—41no—
164C22×Q16C2×D311yescharacteristic
165C22×SD16—31no—
166C22×SD16C2×D311yescharacteristic
167#559—64no—
168#559—64no—
169C2×#127—31no—
170C2×#124—31no—
171C2×#124—61no—
172C2×#124C2×D311yescharacteristic
173C2×#123—61no—
174C2×#123—61no—
175C2×C4×Q8—31no—
176C2×C4×Q8—31no—
177C2×C4×Q8—31no—
178C2×C4×D4—31no—
179C2×C4×D4—31no—
180C2×C4×D4—61no—
181#460—64no—
182C4×Q16—64no—
183C2×#107—31no—
184C2×C4⋊C8—31no—
185C2×#103—31no—
186C2×#103—31no—
187C2×#103—31no—
188C2×#103C2×D311yescharacteristic
189C2×#102—31no—
190C2×#102—31no—
191C2×#102—31no—
192C2×#102—31no—
193C2×#102—31no—
194C2×#102C2×D311yescharacteristic
195C2×C4×C8—31no—
196#398—61no—
197#398—61no—
198#391—31no—
199#391—61no—
200#391C2×D311yescharacteristic
201#389—31no—
202#389—31no—
203#389—61no—
204#384—31no—
205#340—31no—
206#340—31no—
207#336—31no—
208#336—31no—
209#336—31no—
210#336C2×D311yescharacteristic
211C24×C3—21no—
212C23×D3—21no—
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—24no—
239C2×#67—42no—
240C2×#67—42no—
241C2×#67—81no—
242C2×#67—81no—
243C22×Dic3—21no—
244C22×Dic3—24no—
245C22×Dic3—21no—
246C22×Dic3—21no—
247C22×Dic3—81no—
248C22×Dic3—81no—
249C22×Dic3C2×D411yescharacteristic
250C22×Dic3C2×D411yescharacteristic
251C22×Dic3C2×D411yescharacteristic
252C22×Dic3C2×D411yescharacteristic
253C2×D12—21no—
254C2×D12—21no—
255C2×D12—21no—
256C2×D12—21no—
257C2×D12—21no—
258C2×D12C2×D412yes—
259C2×C4×D3—24no—
260C2×C4×D3—81no—
261C2×C4×D3—81no—
262C2×Dic6—22no—
263C2×Dic6—22no—
264C2×Dic6—22no—
265C3×Q16—28no—
266C3×SD16—44no—
267C2×C3×C8—21no—
268C2×C3×C8—21no—
269C2×C3×C8—21no—
270C2×C3×C8—21no—
271C2×C3×C8—21no—
272C2×C3×C8#4112yes—
273C3×C4⋊C4—21no—
274C3×C4⋊C4—21no—
275C3×C22⋊C4—24no—
276C3×C22⋊C4—24no—
277C3×C42—21no—
278C3×C42—21no—
279#217—24no—
280#215—44no—
281(C2×D3)⋊C4—24no—
282(C2×D3)⋊C4—24no—
283(C2×D3)⋊C4—24no—
284C4⋊Dic3—21no—
285C4⋊Dic3—22no—
286C4⋊Dic3—24no—
287C4⋊Dic3—21no—
288C4⋊Dic3—21no—
289C4⋊Dic3—21no—
290C4⋊Dic3—21no—
291C4⋊Dic3—42no—
292C4⋊Dic3—81no—
293C4⋊Dic3C2×D412yes—
294Dic3⋊C4—22no—
295Dic3⋊C4—22no—
296Dic3⋊C4—42no—
297Dic3⋊C4—81no—
298Dic3⋊C4—81no—
299C4×Dic3—21no—
300C4×Dic3—21no—
301C4×Dic3—24no—
302C4×Dic3—42no—
303C4×Dic3C2×D412yes—
304C4×Dic3C2×D412yes—
305C2×C3⋊C8—21no—
306C2×C3⋊C8—21no—
307C2×C3⋊C8—21no—
308C2×C3⋊C8—21no—
309C2×C3⋊C8—21no—
310C2×C3⋊C8—21no—
311C22×Q8—31no—
312C22×Q8C22×D311yescharacteristic
313C22×Q8C22×D311yescharacteristic
314C22×D4—31no—
315C22×D4—61no—
316C22×D4—61no—
317C22×D4C22×D311yescharacteristic
318C23×C4—61no—
319C23×C4—61no—
320C2×Q16—22no—
321C2×Q16—22no—
322C2×Q16—22no—
323C2×SD16—22no—
324C2×SD16—22no—
325C2×SD16—41no—
326C2×SD16—62no—
327C2×SD16—62no—
328C2×SD16—121no—
329C22×C8—31no—
330C22×C8—31no—
331C22×C8C22×D311yescharacteristic
332C22×C8C22×D311yescharacteristic
333#127—34no—
334#127—62no—
335#124—22no—
336#124—22no—
337#124—68no—
338#124—62no—
339#124—62no—
340#123—68no—
341#123—68no—
342C4×Q8—34no—
343C4×Q8—62no—
344C4×Q8—62no—
345C4×Q8—62no—
346C4×Q8—62no—
347C4×Q8—62no—
348C4×D4—62no—
349C4×D4—62no—
350C4×D4—68no—
351C4×D4—62no—
352C4×D4—62no—
353C2×C4⋊C4—31no—
354C2×C4⋊C4—31no—
355C2×C4⋊C4—31no—
356C2×C4⋊C4—31no—
357C2×C4⋊C4—31no—
358C2×C4⋊C4—31no—
359C2×C4⋊C4—61no—
360C2×C4⋊C4—61no—
361C2×C4⋊C4—61no—
362C2×C4⋊C4—61no—
363C2×C4⋊C4—61no—
364C2×C4⋊C4—61no—
365C2×C4⋊C4C22×D311yescharacteristic
366C2×C22⋊C4—21no—
367C2×C22⋊C4—21no—
368C2×C22⋊C4—61no—
369C2×C22⋊C4—61no—
370C2×C22⋊C4—61no—
371C2×C22⋊C4—61no—
372C2×C42—31no—
373C2×C42—31no—
374C2×C42—61no—
375C2×C42—61no—
376C2×C42C22×D311yescharacteristic
377#107—62no—
378C4⋊C8—62no—
379#103—41no—
380#103—62no—
381#103—62no—
382#103—121no—
383#102—22no—
384#102—62no—
385#102—62no—
386#102—62no—
387#102—121no—
388#102—121no—
389C4×C8—62no—
390#95—21no—
391#95—21no—
392#95—61no—
393#95—61no—
394#95—61no—
395#95—61no—
396C23×C3—22no—
397C23×C3—41no—
398C23×C3—41no—
399C23×C3—41no—
400C23×C3—41no—
401C23×C3—41no—
402C23×C3—41no—
403C23×C3C22×D411yescharacteristic
404C22×D3—22no—
405C22×D3—41no—
406C22×D3—41no—
407C22×D3—41no—
408C22×D3—41no—
409C22×D3—41no—
410C22×D3—41no—
411C3×Q8—22no—
412C3×Q8—22no—
413C3×Q8—22no—
414C3×Q8—22no—
415C3×Q8—41no—
416C3×Q8—41no—
417C3×Q8—41no—
418C3×Q8—41no—
419C3×D4—22no—
420C3×D4—22no—
421C3×D4—41no—
422C3×D4—41no—
423C2×C3×C4—22no—
424C2×C3×C4—21no—
425C2×C3×C4—21no—
426C2×C3×C4—22no—
427C2×C3×C4—21no—
428C2×C3×C4—21no—
429C2×C3×C4—21no—
430C2×C3×C4—21no—
431C2×C3×C4—41no—
432C2×C3×C4—41no—
433C2×C3×C4—41no—
434C2×C3×C4—41no—
435C2×C3×C4—41no—
436C2×C3×C4—41no—
437C2×C3×C4—41no—
438C2×C3×C4C22×D411yescharacteristic
439C2×C3×C4C22×D411yescharacteristic
440C2×C3×C4C2×#4111yescharacteristic
441C2×C3×C4C2×#4111yescharacteristic
442C2×C3×C4H(5,𝔽2)11yescharacteristic
443C2×C3×C42−1+411yescharacteristic
444#67—48no—
445#67—84no—
446C2×Dic3—21no—
447C2×Dic3—21no—
448C2×Dic3—21no—
449C2×Dic3—21no—
450C2×Dic3—22no—
451C2×Dic3—21no—
452C2×Dic3—21no—
453C2×Dic3—21no—
454C2×Dic3—21no—
455C2×Dic3—41no—
456C2×Dic3—41no—
457C2×Dic3—41no—
458C2×Dic3—41no—
459C2×Dic3—41no—
460C2×Dic3—41no—
461C2×Dic3—41no—
462C2×Dic3—41no—
463C2×Dic3—84no—
464C2×Dic3#12012yes—
465C2×Dic3#12012yes—
466C2×Dic3#13512yes—
467C2×Dic3#13712yes—
468D12—22no—
469D12—22no—
470D12—41no—
471D12—41no—
472C4×D3—84no—
473Dic6—44no—
474C3×C8—22no—
475C3×C8—41no—
476C3⋊C8—41no—
477C3⋊C8—41no—
478C24—21no—
479C24—61no—
480C2×Q8—21no—
481C2×Q8—21no—
482C2×Q8—21no—
483C2×Q8—21no—
484C2×Q8—21no—
485C2×Q8—21no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—62no—
491C2×Q8—62no—
492C2×Q8—62no—
493C2×Q8D3×D412yes—
494C2×Q8#23712yes—
495C2×D4—21no—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—32no—
501C2×D4—64no—
502C2×D4—64no—
503C2×D4—61no—
504C2×D4—61no—
505C2×D4—61no—
506C2×D4—61no—
507C2×D4—61no—
508C2×D4—122no—
509C2×D4—122no—
510C2×D4—241no—
511C2×D4—241no—
512C2×D4D3×D412yes—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—31no—
517C22×C4—31no—
518C22×C4—31no—
519C22×C4—31no—
520C22×C4—64no—
521C22×C4—61no—
522C22×C4—64no—
523C22×C4—61no—
524C22×C4—61no—
525C22×C4—241no—
526C22×C4—241no—
527C22×C4—241no—
528C22×C4—241no—
529C22×C4D3×D411yescharacteristic
530C22×C4D3×D411yescharacteristic
531C22×C4C23×D311yescharacteristic
532Q16—28no—
533SD16—44no—
534SD16—124no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—61no—
541C2×C8—61no—
542C2×C8—61no—
543C2×C8—61no—
544C2×C8—61no—
545C2×C8—61no—
546C2×C8#23712yes—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—32no—
550C4⋊C4—62no—
551C4⋊C4—62no—
552C4⋊C4—62no—
553C4⋊C4—64no—
554C4⋊C4—61no—
555C4⋊C4—61no—
556C4⋊C4—61no—
557C4⋊C4—61no—
558C4⋊C4—61no—
559C4⋊C4—122no—
560C4⋊C4—122no—
561C4⋊C4—241no—
562C4⋊C4—241no—
563C4⋊C4—241no—
564C22⋊C4—24no—
565C22⋊C4—24no—
566C22⋊C4—64no—
567C22⋊C4—64no—
568C22⋊C4—64no—
569C22⋊C4—64no—
570C42—21no—
571C42—21no—
572C42—32no—
573C42—32no—
574C42—64no—
575C42—61no—
576C42—61no—
577C42—122no—
578C22×C3—42no—
579C22×C3—42no—
580C22×C3—42no—
581C22×C3—81no—
582C22×C3—81no—
583C22×C3—81no—
584C22×C3—81no—
585C22×C3C2×#12011yescharacteristic
586C22×C3#54811yescharacteristic
587C22×C3#55011yescharacteristic
588C22×C3C2×#13511yescharacteristic
589C22×C3C2×#13711yescharacteristic
590C22×C3#57611yescharacteristic
591C22×C3#57711yescharacteristic
592C2×D3—42no—
593C2×D3—42no—
594C2×D3—42no—
595C2×D3—81no—
596C2×D3—81no—
597C2×D3—81no—
598C2×D3—81no—
599C3×C4—42no—
600C3×C4—42no—
601C3×C4—41no—
602C3×C4—41no—
603C3×C4—81no—
604C3×C4#52511yescharacteristic
605C3×C4#53711yescharacteristic
606C3×C4#54611yescharacteristic
607C3×C4#54711yescharacteristic
608Dic3—22no—
609Dic3—41no—
610Dic3—42no—
611Dic3—41no—
612Dic3—81no—
613Dic3—81no—
614Dic3#45214yes—
615C23—22no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—62no—
623C23—121no—
624C23—121no—
625C23—121no—
626C23—121no—
627C23—121no—
628C23—121no—
629C23C2×D3×D411yescharacteristic
630Q8—22no—
631Q8—22no—
632Q8—22no—
633Q8—22no—
634Q8—41no—
635Q8—41no—
636Q8—41no—
637Q8—41no—
638Q8—124no—
639D4—22no—
640D4—22no—
641D4—41no—
642D4—41no—
643D4—62no—
644D4—62no—
645D4—128no—
646D4—121no—
647D4—121no—
648D4—244no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—32no—
658C2×C4—32no—
659C2×C4—32no—
660C2×C4—32no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—61no—
669C2×C4—61no—
670C2×C4—61no—
671C2×C4—61no—
672C2×C4—61no—
673C2×C4—61no—
674C2×C4—61no—
675C2×C4—62no—
676C2×C4—61no—
677C2×C4—121no—
678C2×C4—121no—
679C2×C4—121no—
680C2×C4—121no—
681C2×C4—121no—
682C2×C4—121no—
683C2×C4—121no—
684C2×C4—121no—
685C2×C4—244no—
686C2×C4—244no—
687C2×C4C2×D3×D411yescharacteristic
688C2×C4C2×D3×D411yescharacteristic
689C2×C4C2×#23711yescharacteristic
690C2×C4C2×#23711yescharacteristic
691C2×C4#100411yescharacteristic
692C2×C4#101011yescharacteristic
693C8—22no—
694C8—41no—
695C8—121no—
696C8—121no—
697C2×C3—82no—
698C2×C3#240711yescharacteristic
699C2×C3C2×#45211yescharacteristic
700C2×C3#301211yescharacteristic
701C2×C3#336511yescharacteristic
702C2×C3#337511yescharacteristic
703C2×C3#339611yescharacteristic
704C2×C3#340011yescharacteristic
705D3—82no—
706C22—42no—
707C22—42no—
708C22—42no—
709C22—81no—
710C22—81no—
711C22—81no—
712C22—81no—
713C22—122no—
714C22—122no—
715C22—122no—
716C22—241no—
717C22—241no—
718C22—241no—
719C22—241no—
720C22D3×#12011yescharacteristic
721C22#559811yescharacteristic
722C22#571811yescharacteristic
723C22D3×#13511yescharacteristic
724C22#576911yescharacteristic
725C22D3×#13711yescharacteristic
726C22#577811yescharacteristic
727C4—34no—
728C4—41no—
729C4—41no—
730C4—42no—
731C4—42no—
732C4—62no—
733C4—81no—
734C4—121no—
735C4—121no—
736C4—122no—
737C4—241no—
738C4—241no—
739C4#558611yescharacteristic
740C4#559111yescharacteristic
741C4#559711yescharacteristic
742C4#561111yescharacteristic
743C3#2419011yescharacteristic, complemented, Sylow
744C2—82no—
745C2—242no—
746C2#7666811yescharacteristic
747C2D3×#45211yescharacteristic
748C2#8023111yescharacteristic
749C2#8058111yescharacteristic
750C2#8058511yescharacteristic
751C2#8181511yescharacteristic
752C2#8186511yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#2015C2
socleC23×C3C22×D4
prime radicalC2×#940C22
hypercenter#2015D3
hypocenterC3#24190
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×Dic3×Q16C2semidirect
4. #76548C2semidirect
5. C3×#2015C2semidirect
6. #72072C2semidirect
7. #72047C2semidirect
8. #71722C2semidirect
9. #70245C2semidirect
10. #70221C2semidirect
11. #70168C2semidirect
13. #69687C2semidirect
14. #68670C2semidirect
15. #68619C2semidirect
71. #2015D3semidirect
743. C3#24190semidirect

Maximal subgroups

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

subgroupindex
C2×#56812
C2×Dic3×Q162
C2×#51632
#765482
C3×#20152
#720722
#720472
#717222
#702452
#702212
#701682
#701572
#696872
#686702
#686192
#241903