Finite Group Databasebeta

← #10945030

Subgroups — #10945030

Order 768.

1292 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5546C211yesmaximal, characteristic
2C2×#5173C211yesmaximal, characteristic
3C2×#4811C211yesmaximal, characteristic, complemented
4#76642C211yesmaximal, characteristic, complemented
5C3×#1877C211yesmaximal, characteristic, complemented
6#72047C211yesmaximal, characteristic, complemented
7#71606C211yesmaximal, characteristic, complemented
8#70281C211yesmaximal, characteristic, complemented
9#70199C211yesmaximal, characteristic
10#70168C211yesmaximal, characteristic, complemented
11#69690C211yesmaximal, characteristic, complemented
12#68906C211yesmaximal, characteristic, complemented
13#68871C211yesmaximal, characteristic, complemented
14#68683C211yesmaximal, characteristic, complemented
15#68665C211yesmaximal, characteristic, complemented
16#33017—31nomaximal, Sylow
17C22×#237C2211yescharacteristic
18C22×C3×SD16C2211yescharacteristic
19C2×C3×C4×D4C2211yescharacteristic
20C2×#946C2211yescharacteristic
21C22×#216C2211yescharacteristic
22C2×D4×Dic3C2211yescharacteristic
23C2×C4×#67—21no—
24C22×Dic3⋊C4—21no—
25#5546—24no—
26#5546—24no—
27C2×D3×C4⋊C4C2211yescharacteristic
28C2×#887C2211yescharacteristic
29C2×#67⋊C4—21no—
30C2×#877—21no—
31C2×#872C2211yescharacteristic
32C2×C4×Dic6C2211yescharacteristic
33C2×C3×#103C2211yescharacteristic
34C2×C3×#102C2211yescharacteristic
35C3×#391C2211yescharacteristic
36#5229C2211yescharacteristic
37C2×#835C2211yescharacteristic
38C2×#832C2211yescharacteristic
39C2×#832C2211yescharacteristic
40#5173—24no—
41C2×(C2×D3)⋊C8C2211yescharacteristic
42C2×(C2×D3)⋊C8C2211yescharacteristic
43C2×#818C2211yescharacteristic
44C2×#816C2211yescharacteristic
45C2×#816C2211yescharacteristic
46#4987C2211yescharacteristic
47#4984C2211yescharacteristic
48C2×#810C2211yescharacteristic
49C2×#807C2211yescharacteristic
50#4928C2211yescharacteristic
51#4811—24no—
52#4675—21no—
53#4674—21no—
54#4658—21no—
55#4657—21no—
56C3×#340C2211yescharacteristic
57C3×#336C2211yescharacteristic
58#4551C2211yescharacteristic
59#4550C2211yescharacteristic
60#4550C2211yescharacteristic
61#4529C2211yescharacteristic
62#4529C2211yescharacteristic
63#4524C2211yescharacteristic
64C2×#520—31no—
65C2×#484—31no—
66C2×#452—31no—
67#2625—31no—
68#1878—31no—
69#1878—31no—
70#1877—31no—
71#1877D311yescharacteristic, complemented
72#1863—31no—
73#1863—31no—
74#1862—31no—
75#1862—31no—
76#1823—31no—
77#1818—31no—
78#1788—31no—
79C22×C3×Q8C2311yescharacteristic
80C22×C3×D4C2311yescharacteristic
81C23×C3×C4—21no—
82C22×#67—21no—
83C23×Dic3—21no—
84C23×Dic3—21no—
85C2×#237—22no—
86C2×#237—22no—
87C2×#237—22no—
88C2×#237—22no—
89C2×#237—22no—
90C2×#237D414yes—
91C22×C4×D3—21no—
92C22×C4×D3C2311yescharacteristic
93C22×Dic6C2311yescharacteristic
94C2×C3×SD16—22no—
95C2×C3×SD16—22no—
96C2×C3×SD16—22no—
97C22×C3×C8C2311yescharacteristic
98C22×C3×C8C2311yescharacteristic
99C3×C4×D4—22no—
100C3×C4×D4—22no—
101C2×C3×C4⋊C4C2311yescharacteristic
102C2×C3×C4⋊C4C2311yescharacteristic
103C2×C3×C22⋊C4—21no—
104C2×C3×C42C2311yescharacteristic
105C2×#217—21no—
106#946—22no—
107#946—22no—
108C2×#216—22no—
109C2×#216—22no—
110C2×#216—22no—
111D4×Dic3—22no—
112D4×Dic3—22no—
113C4×#67—28no—
114C2×(C2×D3)⋊C4—21no—
115C2×(C2×D3)⋊C4—21no—
116C2×(C2×D3)⋊C4D411yescharacteristic
117C2×(C2×D3)⋊C4D411yescharacteristic
118C2×C4⋊Dic3—21no—
119C2×C4⋊Dic3C2311yescharacteristic
120C2×C4⋊Dic3C2311yescharacteristic
121C2×C4⋊Dic3C2311yescharacteristic
122C2×Dic3⋊C4—28no—
123C2×Dic3⋊C4—21no—
124C2×Dic3⋊C4—21no—
125C2×Dic3⋊C4—21no—
126C2×Dic3⋊C4—21no—
127C2×Dic3⋊C4—21no—
128C2×Dic3⋊C4D411yescharacteristic
129C2×Dic3⋊C4D411yescharacteristic
130C2×C4×Dic3—21no—
131C2×C4×Dic3—21no—
132C2×C4×Dic3C2311yescharacteristic
133C22×C3⋊C8C2311yescharacteristic
134C22×C3⋊C8C2311yescharacteristic
135D3×C4⋊C4—22no—
136D3×C4⋊C4D414yes—
137#887—22no—
138#887—22no—
139#67⋊C4—28no—
140#877—28no—
141#872—22no—
142#872—22no—
143C4×Dic6—22no—
144C4×Dic6—22no—
145C3×#103—22no—
146C3×#102—22no—
147C3×#95—21no—
148C3×#95—21no—
149#835—22no—
150#832—22no—
151#832—22no—
152C3⋊#95—21no—
153C3⋊#95—21no—
154C3⋊#95—21no—
155C3⋊#95—21no—
156C3⋊#95—21no—
157(C2×D3)⋊C8—22no—
158(C2×D3)⋊C8—22no—
159#818—22no—
160#816—22no—
161#816—22no—
162#810—22no—
163#807—22no—
164C22×#41—31no—
165C22×Q16—31no—
166C22×SD16C2×D311yescharacteristic
167C2×C22⋊Q8—31no—
168#520—64no—
169#520—64no—
170C2×C4×Q8—31no—
171C2×C4×Q8—31no—
172C2×C4×D4—31no—
173C2×C4×D4—61no—
174C2×C4×D4—61no—
175C2×C4×D4C2×D311yescharacteristic
176C2×#117—31no—
177C2×#117—61no—
178C22×C4⋊C4—31no—
179C22×C4⋊C4—61no—
180#484—64no—
181#452—64no—
182C2×#107—31no—
183C2×#107—31no—
184C2×#103—31no—
185C2×#103—31no—
186C2×#103—31no—
187C2×#103—31no—
188C2×#103C2×D311yescharacteristic
189C2×#102—31no—
190C2×#102—31no—
191C2×#102C2×D311yescharacteristic
192C2×C22⋊C8—31no—
193C2×C22⋊C8—31no—
194#400—61no—
195#398—61no—
196#397—61no—
197#397—61no—
198#391—31no—
199#391C2×D311yescharacteristic
200#389—31no—
201#389—31no—
202#380—31no—
203#340—31no—
204#340—31no—
205#340—31no—
206#340C2×D311yescharacteristic
207#336—31no—
208#336—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×D4—21no—
220C2×C3×D4—21no—
221C2×C3×D4—21no—
222C2×C3×D4C2×D412yes—
223C2×C3×D4#4112yes—
224C2×C3×D4#4112yes—
225C22×C3×C4—21no—
226C22×C3×C4—24no—
227C22×C3×C4—21no—
228C22×C3×C4—21no—
229C22×C3×C4—81no—
230C22×C3×C4—81no—
231C22×C3×C4C2×D411yescharacteristic
232C22×C3×C4C2×D411yescharacteristic
233C22×C3×C4C2411yescharacteristic
234C2×#67—24no—
235C2×#67—24no—
236C2×#67—24no—
237C22×Dic3—24no—
238C22×Dic3—24no—
239C22×Dic3—21no—
240C22×Dic3—24no—
241C22×Dic3—21no—
242C22×Dic3—24no—
243C22×Dic3—21no—
244C22×Dic3—21no—
245C22×Dic3—81no—
246C22×Dic3—81no—
247C22×Dic3C2×D411yescharacteristic
248C22×Dic3C2×D411yescharacteristic
249C22×Dic3C2×D411yescharacteristic
250#237—28no—
251#237—28no—
252#237—28no—
253#237—28no—
254C2×C4×D3—21no—
255C2×C4×D3—21no—
256C2×C4×D3—21no—
257C2×C4×D3—21no—
258C2×C4×D3—24no—
259C2×C4×D3—81no—
260C2×C4×D3—81no—
261C2×C4×D3C2×D412yes—
262C2×C4×D3C2×D412yes—
263C2×Dic6—21no—
264C2×Dic6—21no—
265C2×Dic6—21no—
266C2×Dic6C2×D412yes—
267C2×Dic6#4112yes—
268C2×Dic6#4112yes—
269C3×SD16—44no—
270C2×C3×C8—21no—
271C2×C3×C8—21no—
272C2×C3×C8—21no—
273C2×C3×C8—21no—
274C2×C3×C8—21no—
275C2×C3×C8—21no—
276C3×C4⋊C4—21no—
277C3×C4⋊C4—21no—
278C3×C4⋊C4—21no—
279C3×C4⋊C4C2×D412yes—
280C3×C22⋊C4—24no—
281C3×C42—21no—
282C3×C42—21no—
283#217—24no—
284#216—44no—
285(C2×D3)⋊C4—22no—
286(C2×D3)⋊C4—22no—
287(C2×D3)⋊C4—42no—
288(C2×D3)⋊C4—81no—
289C4⋊Dic3—21no—
290C4⋊Dic3—21no—
291C4⋊Dic3—21no—
292C4⋊Dic3—21no—
293C4⋊Dic3—21no—
294C4⋊Dic3—81no—
295C4⋊Dic3C2×D412yes—
296Dic3⋊C4—24no—
297Dic3⋊C4—24no—
298Dic3⋊C4—22no—
299Dic3⋊C4—22no—
300Dic3⋊C4—24no—
301Dic3⋊C4—42no—
302Dic3⋊C4—81no—
303C4×Dic3—24no—
304C4×Dic3—24no—
305C4×Dic3—21no—
306C4×Dic3—21no—
307C2×C3⋊C8—21no—
308C2×C3⋊C8—21no—
309C2×C3⋊C8—21no—
310C2×C3⋊C8—21no—
311C2×C3⋊C8—21no—
312C2×C3⋊C8—21no—
313C2×#41—34no—
314C2×#41—62no—
315C2×#41—62no—
316C2×#41—62no—
317C2×#41—62no—
318C2×#41—62no—
319C22×Q8—31no—
320C22×Q8C22×D311yescharacteristic
321C22×D4—61no—
322C22×D4C22×D311yescharacteristic
323C23×C4—21no—
324C23×C4—31no—
325C23×C4—61no—
326C23×C4—61no—
327C23×C4—61no—
328C2×Q16—62no—
329C2×Q16—62no—
330C2×Q16—62no—
331C2×SD16—22no—
332C2×SD16—22no—
333C2×SD16—22no—
334C22×C8—31no—
335C22×C8—31no—
336C22×C8C22×D311yescharacteristic
337C22×C8C22×D311yescharacteristic
338C22⋊Q8—62no—
339C22⋊Q8—62no—
340C4×Q8—62no—
341C4×Q8—62no—
342C4×Q8—62no—
343C4×Q8—62no—
344C4×D4—22no—
345C4×D4—22no—
346C4×D4—68no—
347C4×D4—62no—
348C4×D4—68no—
349C4×D4—62no—
350#117—62no—
351#117—62no—
352#117—68no—
353C2×C4⋊C4—31no—
354C2×C4⋊C4—34no—
355C2×C4⋊C4—31no—
356C2×C4⋊C4—31no—
357C2×C4⋊C4—31no—
358C2×C4⋊C4—31no—
359C2×C4⋊C4—62no—
360C2×C4⋊C4—61no—
361C2×C4⋊C4—61no—
362C2×C4⋊C4—68no—
363C2×C4⋊C4—61no—
364C2×C4⋊C4—61no—
365C2×C4⋊C4—61no—
366C2×C4⋊C4—61no—
367C2×C4⋊C4C22×D311yescharacteristic
368C2×C4⋊C4C22×D311yescharacteristic
369C2×C22⋊C4—21no—
370C2×C22⋊C4—31no—
371C2×C22⋊C4—31no—
372C2×C22⋊C4—61no—
373C2×C22⋊C4—61no—
374C2×C22⋊C4—61no—
375C2×C42—31no—
376C2×C42—61no—
377C2×C42—61no—
378C2×C42C22×D311yescharacteristic
379#107—62no—
380#107—62no—
381#103—22no—
382#103—62no—
383#103—62no—
384#103—62no—
385#103—62no—
386#102—22no—
387#102—62no—
388#102—62no—
389C22⋊C8—62no—
390C22⋊C8—62no—
391#95—21no—
392#95—21no—
393#95—61no—
394#95—61no—
395#95—61no—
396#95—61no—
397#95—61no—
398C23×C3—22no—
399C23×C3—22no—
400C23×C3—22no—
401C23×C3—41no—
402C23×C3—41no—
403C23×C3—41no—
404C23×C3—41no—
405C23×C3C22×D411yescharacteristic
406C22×D3—21no—
407C22×D3—21no—
408C22×D3—21no—
409C22×D3—21no—
410C22×D3—21no—
411C22×D3—21no—
412C22×D3#12012yes—
413C3×Q8—41no—
414C3×Q8—41no—
415C3×Q8—41no—
416C3×Q8—41no—
417C3×D4—22no—
418C3×D4—22no—
419C3×D4—22no—
420C3×D4#12314yes—
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—21no—
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×C4—41no—
435C2×C3×C4—41no—
436C2×C3×C4—84no—
437C2×C3×C4C22×D411yescharacteristic
438C2×C3×C4C22×D411yescharacteristic
439C2×C3×C4C2×#4111yescharacteristic
440C2×C3×C4C2×#4111yescharacteristic
441C2×C3×C4C2×#4111yescharacteristic
442C2×C3×C4C2×#4111yescharacteristic
443#67—216no—
444C2×Dic3—216no—
445C2×Dic3—22no—
446C2×Dic3—22no—
447C2×Dic3—22no—
448C2×Dic3—21no—
449C2×Dic3—21no—
450C2×Dic3—21no—
451C2×Dic3—21no—
452C2×Dic3—22no—
453C2×Dic3—21no—
454C2×Dic3—21no—
455C2×Dic3—21no—
456C2×Dic3—21no—
457C2×Dic3—41no—
458C2×Dic3—41no—
459C2×Dic3—41no—
460C2×Dic3—41no—
461C2×Dic3—41no—
462C2×Dic3—41no—
463C2×Dic3—41no—
464C2×Dic3—41no—
465C2×Dic3—84no—
466C2×Dic3#12012yes—
467C4×D3—22no—
468C4×D3—22no—
469C4×D3—22no—
470C4×D3—22no—
471C4×D3—84no—
472Dic6—22no—
473Dic6—22no—
474Dic6—22no—
475Dic6#12314yes—
476C3×C8—41no—
477C3×C8—41no—
478C3⋊C8—41no—
479C3⋊C8—41no—
480C24—21no—
481C24—31no—
482#41—68no—
483#41—68no—
484#41—68no—
485#41—68no—
486C2×Q8—21no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—32no—
493C2×Q8—32no—
494C2×Q8—32no—
495C2×Q8—61no—
496C2×Q8—61no—
497C2×Q8—61no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—64no—
502C2×D4—64no—
503C2×D4—64no—
504C2×D4#23512yes—
505C2×D4D3×D412yes—
506C2×D4#23712yes—
507C22×C4—21no—
508C22×C4—24no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—31no—
512C22×C4—32no—
513C22×C4—32no—
514C22×C4—31no—
515C22×C4—31no—
516C22×C4—64no—
517C22×C4—64no—
518C22×C4—64no—
519C22×C4—64no—
520C22×C4—61no—
521C22×C4—61no—
522C22×C4—61no—
523C22×C4—61no—
524C22×C4—61no—
525C22×C4—61no—
526C22×C4—64no—
527C22×C4—61no—
528C22×C4—61no—
529C22×C4—81no—
530C22×C4—81no—
531C22×C4—241no—
532C22×C4—241no—
533C22×C4—241no—
534C22×C4—241no—
535C22×C4D3×D411yescharacteristic
536C22×C4D3×D411yescharacteristic
537C22×C4C23×D311yescharacteristic
538Q16—124no—
539SD16—44no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—61no—
547C2×C8—61no—
548C2×C8—61no—
549C2×C8—61no—
550C2×C8—61no—
551C2×C8—61no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—32no—
556C4⋊C4—62no—
557C4⋊C4—64no—
558C4⋊C4—62no—
559C4⋊C4—64no—
560C4⋊C4—64no—
561C4⋊C4—61no—
562C4⋊C4—61no—
563C4⋊C4—61no—
564C4⋊C4—61no—
565C4⋊C4—61no—
566C4⋊C4—122no—
567C4⋊C4—241no—
568C4⋊C4—241no—
569C4⋊C4D3×D412yes—
570C22⋊C4—24no—
571C22⋊C4—62no—
572C22⋊C4—62no—
573C22⋊C4—64no—
574C22⋊C4—122no—
575C22⋊C4—241no—
576C42—21no—
577C42—21no—
578C42—64no—
579C42—64no—
580C42—61no—
581C42—61no—
582C22×C3—24no—
583C22×C3—42no—
584C22×C3—42no—
585C22×C3—42no—
586C22×C3—42no—
587C22×C3—42no—
588C22×C3—42no—
589C22×C3C2×#12011yescharacteristic
590C22×C3#52511yescharacteristic
591C22×C3#52511yescharacteristic
592C22×C3#57611yescharacteristic
593C22×C3#57711yescharacteristic
594C22×C3#57811yescharacteristic
595C22×C3#57811yescharacteristic
596C2×D3—22no—
597C2×D3—22no—
598C2×D3—22no—
599C2×D3—41no—
600C2×D3—41no—
601C2×D3—41no—
602C2×D3—41no—
603C3×C4—41no—
604C3×C4—42no—
605C3×C4—41no—
606C3×C4—81no—
607C3×C4—81no—
608C3×C4C2×#12311yescharacteristic
609C3×C4C2×#12311yescharacteristic
610C3×C4#52511yescharacteristic
611C3×C4#52511yescharacteristic
612Dic3—24no—
613Dic3—22no—
614Dic3—41no—
615Dic3—42no—
616Dic3—41no—
617Dic3—81no—
618Dic3—81no—
619C23—22no—
620C23—22no—
621C23—22no—
622C23—32no—
623C23—41no—
624C23—41no—
625C23—41no—
626C23—41no—
627C23—61no—
628C23—61no—
629C23—61no—
630C23—61no—
631C23—61no—
632C23—61no—
633C23C2×D3×D411yescharacteristic
634Q8—34no—
635Q8—41no—
636Q8—41no—
637Q8—41no—
638Q8—41no—
639Q8—62no—
640Q8—62no—
641Q8—62no—
642D4—22no—
643D4—22no—
644D4—22no—
645D4—616no—
646D4#88314yes—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—22no—
654C2×C4—32no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—41no—
663C2×C4—616no—
664C2×C4—61no—
665C2×C4—62no—
666C2×C4—62no—
667C2×C4—61no—
668C2×C4—62no—
669C2×C4—62no—
670C2×C4—62no—
671C2×C4—62no—
672C2×C4—62no—
673C2×C4—61no—
674C2×C4—61no—
675C2×C4—61no—
676C2×C4—61no—
677C2×C4—61no—
678C2×C4—62no—
679C2×C4—61no—
680C2×C4—84no—
681C2×C4—121no—
682C2×C4—121no—
683C2×C4—121no—
684C2×C4—121no—
685C2×C4—121no—
686C2×C4—121no—
687C2×C4—121no—
688C2×C4—121no—
689C2×C4—244no—
690C2×C4—244no—
691C2×C4C2×#23511yescharacteristic
692C2×C4C2×D3×D411yescharacteristic
693C2×C4C2×D3×D411yescharacteristic
694C2×C4C2×#23711yescharacteristic
695C2×C4D3×#4111yescharacteristic
696C2×C4D3×#4111yescharacteristic
697C8—41no—
698C8—41no—
699C8—121no—
700C8—121no—
701C2×C3—44no—
702C2×C3#284911yescharacteristic
703C2×C3#301111yescharacteristic
704C2×C3#301211yescharacteristic
705C2×C3#312011yescharacteristic
706C2×C3#312011yescharacteristic
707C2×C3#312411yescharacteristic
708C2×C3#312411yescharacteristic
709D3—42no—
710C22—24no—
711C22—42no—
712C22—42no—
713C22—42no—
714C22—42no—
715C22—42no—
716C22—42no—
717C22—62no—
718C22—62no—
719C22—62no—
720C22—121no—
721C22—121no—
722C22—121no—
723C22—121no—
724C22#554711yescharacteristic
725C22D3×#12011yescharacteristic
726C22#560611yescharacteristic
727C22#576211yescharacteristic
728C22#577111yescharacteristic
729C22#577411yescharacteristic
730C22#577911yescharacteristic
731C4—41no—
732C4—42no—
733C4—41no—
734C4—62no—
735C4—64no—
736C4—81no—
737C4—81no—
738C4—121no—
739C4—122no—
740C4—121no—
741C4—241no—
742C4—241no—
743C4C2×#88311yescharacteristic
744C4#554711yescharacteristic
745C4#560611yescharacteristic
746C4D3×#12311yescharacteristic
747C3#3301711yescharacteristic, complemented, Sylow
748C2—44no—
749C2—122no—
750C2#7493611yescharacteristic
751C2#7965711yescharacteristic
752C2#7978811yescharacteristic
753C2#8014911yescharacteristic
754C2#8023011yescharacteristic
755C2#8041211yescharacteristic
756C2#8051011yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutator, cosocleC22×C3×C4C24
FrattiniC22×C4C23×D3
FittingC3×#1877C2
socleC23×C3C22×D4
prime radicalC22×#237C22
hypercenter#1877D3
hypocenterC3#33017
LCSG ▷ C22×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1877

Complements

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

NH ≅ G/Ntype
3. C2×#4811C2semidirect
4. #76642C2semidirect
5. C3×#1877C2semidirect
6. #72047C2semidirect
7. #71606C2semidirect
8. #70281C2semidirect
10. #70168C2semidirect
11. #69690C2semidirect
12. #68906C2semidirect
13. #68871C2semidirect
14. #68683C2semidirect
15. #68665C2semidirect
71. #1877D3semidirect
747. C3#33017semidirect

Maximal subgroups

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

subgroupindex
C2×#55462
C2×#51732
C2×#48112
#766422
C3×#18772
#720472
#716062
#702812
#701992
#701682
#696902
#689062
#688712
#686832
#686652
#330173