Finite Group Databasebeta

← #10800988

Subgroups — #10800988

Order 768.

1344 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#5572C211yesmaximal, characteristic
2C2×#5186C211yesmaximal, characteristic
3C2×#5184C211yesmaximal, characteristic, complemented
4C2×#4790C211yesmaximal, characteristic, complemented
5#76611C211yesmaximal, characteristic
6C3×#1878C211yesmaximal, characteristic, complemented
7#71628C211yesmaximal, characteristic, complemented
8#70269C211yesmaximal, characteristic
9#70266C211yesmaximal, characteristic
10Dic3×#103C211yesmaximal, characteristic, complemented
11#69690C211yesmaximal, characteristic, complemented
12#68876C211yesmaximal, characteristic
13#68783C211yesmaximal, characteristic, complemented
14#68684C211yesmaximal, characteristic, complemented
15#68601C211yesmaximal, characteristic
16#21463—31nomaximal, Sylow
17C22×D3×Q8C2211yescharacteristic
18C22×C3×Q16C2211yescharacteristic
19C2×C3×C4×Q8C2211yescharacteristic
20C2×#946C2211yescharacteristic
21C2×Q8×Dic3C2211yescharacteristic
22C2×Q8×Dic3C2211yescharacteristic
23C22×#216C2211yescharacteristic
24#5572—24no—
25#5572—24no—
26C2×#892—21no—
27C2×#892C2211yescharacteristic
28C2×#887—21no—
29C2×#887C2211yescharacteristic
30C2×#872—21no—
31C2×#872C2211yescharacteristic
32C2×C4×Dic6—21no—
33C2×C4×Dic6C2211yescharacteristic
34C2×C3×#103C2211yescharacteristic
35C2×C3×#103C2211yescharacteristic
36C3×#391C2211yescharacteristic
37C2×#835C2211yescharacteristic
38C2×#835C2211yescharacteristic
39C2×#835C2211yescharacteristic
40#5186C418yescomplemented
41#5184—24no—
42C2×(C2×D3)⋊C8C2211yescharacteristic
43C2×(C2×D3)⋊C8C2211yescharacteristic
44C2×#817C2211yescharacteristic
45C2×#816C2211yescharacteristic
46C2×#816C2211yescharacteristic
47C2×#815C2211yescharacteristic
48C2×C8×Dic3C2211yescharacteristic
49#4987C2211yescharacteristic
50Dic3×C4⋊C4C2211yescharacteristic
51C2×#810C2211yescharacteristic
52C2×#807C2211yescharacteristic
53#4928C2211yescharacteristic
54#4790—24no—
55#4670—21no—
56#4669—21no—
57#4652—21no—
58#4647—21no—
59C3×#340C2211yescharacteristic
60C3×#336C2211yescharacteristic
61#4551C2211yescharacteristic
62#4529C2211yescharacteristic
63#4529C2211yescharacteristic
64#4524C2211yescharacteristic
65C2×#519—31no—
66C2×#451—31no—
67C2×#441—31no—
68C2×C4×Q16—31no—
69#2323—31no—
70#1878—31no—
71#1878D311yescharacteristic, complemented
72#1873—31no—
73#1865—31no—
74#1863—31no—
75#1854—31no—
76#1787—31no—
77#1763—31no—
78C4×#103—31no—
79#1750—31no—
80C22×C3×Q8C2311yescharacteristic
81C22×C3×Q8C2311yescharacteristic
82C2×D3×Q8—22no—
83C2×D3×Q8—22no—
84C2×D3×Q8—22no—
85C2×D3×Q8—22no—
86C2×D3×Q8—22no—
87C2×D3×Q8C2×C414yes—
88C22×C4×D3—21no—
89C22×C4×D3C2311yescharacteristic
90C22×Dic6—21no—
91C22×Dic6C2311yescharacteristic
92C2×C3×Q16—22no—
93C2×C3×Q16—22no—
94C2×C3×Q16C2×C414yes—
95C22×C3×C8C2311yescharacteristic
96C22×C3×C8C2311yescharacteristic
97C3×C4×Q8—22no—
98C3×C4×Q8—22no—
99C2×C3×C4⋊C4—21no—
100C2×C3×C4⋊C4C2311yescharacteristic
101C2×C3×C4⋊C4C2311yescharacteristic
102C2×C3×C42—21no—
103C2×C3×C42C2311yescharacteristic
104#946—22no—
105#946C2×C414yes—
106Q8×Dic3—22no—
107Q8×Dic3—22no—
108Q8×Dic3—22no—
109Q8×Dic3D414yes—
110C2×#216—22no—
111C2×#216—22no—
112C2×#216C2×C414yes—
113C2×(C2×D3)⋊C4—21no—
114C2×(C2×D3)⋊C4—21no—
115C2×(C2×D3)⋊C4—21no—
116C2×(C2×D3)⋊C4D411yescharacteristic
117C2×(C2×D3)⋊C4D411yescharacteristic
118C2×C4⋊Dic3—21no—
119C2×C4⋊Dic3—21no—
120C2×C4⋊Dic3C2311yescharacteristic
121C2×C4⋊Dic3C2311yescharacteristic
122C2×C4⋊Dic3C2311yescharacteristic
123C2×Dic3⋊C4—21no—
124C2×Dic3⋊C4—21no—
125C2×Dic3⋊C4—21no—
126C2×Dic3⋊C4—21no—
127C2×Dic3⋊C4D411yescharacteristic
128C2×Dic3⋊C4D411yescharacteristic
129C2×C4×Dic3—21no—
130C2×C4×Dic3—21no—
131C2×C4×Dic3—21no—
132C2×C4×Dic3—21no—
133C2×C4×Dic3—21no—
134C2×C4×Dic3—21no—
135C2×C4×Dic3C2311yescharacteristic
136C22×C3⋊C8C2311yescharacteristic
137C22×C3⋊C8C2311yescharacteristic
138#892—28no—
139#892—22no—
140#892—22no—
141#887—28no—
142#887—22no—
143#887D414yes—
144#872—28no—
145#872—22no—
146#872—22no—
147C4×Dic6—28no—
148C4×Dic6—22no—
149C4×Dic6—22no—
150C3×#103—22no—
151C3×#103—22no—
152C3×#95—21no—
153C3×#95—21no—
154#835—22no—
155#835—22no—
156#835C2×C414yes—
157C3⋊#95—21no—
158C3⋊#95—21no—
159C3⋊#95—21no—
160(C2×D3)⋊C8—22no—
161(C2×D3)⋊C8C2×C414yes—
162#817—22no—
163#816—22no—
164#816C2×C414yes—
165#815—22no—
166C8×Dic3—22no—
167#810—22no—
168#807—22no—
169C23×Q8—31no—
170C22×Q16—31no—
171C22×Q16C2×D311yescharacteristic
172C2×C22⋊Q8—31no—
173#519—64no—
174#519—64no—
175C2×C4×Q8—31no—
176C2×C4×Q8—31no—
177C2×C4×Q8—31no—
178C2×C4×Q8—31no—
179C2×C4×Q8—61no—
180C2×C4×Q8—61no—
181C2×C4×Q8C2×D311yescharacteristic
182C2×#117—31no—
183C2×#117—31no—
184C2×#117—61no—
185C2×#117—61no—
186#451—38no—
187#441—64no—
188C4×Q16—64no—
189C2×#107—31no—
190C2×#106—31no—
191C2×#103—31no—
192C2×#103—31no—
193C2×#103—31no—
194C2×#103—31no—
195C2×#103—31no—
196C2×#103—31no—
197C2×#103C2×D311yescharacteristic
198C2×#103C2×D311yescharacteristic
199C2×C22⋊C8—31no—
200C2×C22⋊C8—31no—
201C2×#97—31no—
202C2×C4×C8—31no—
203#391C2×D311yescharacteristic
204#389—31no—
205#389—61no—
206#388—61no—
207#388—61no—
208#387—61no—
209#380—31no—
210C4×C4⋊C4—31no—
211#340—31no—
212#340—31no—
213#340—31no—
214#340C2×D311yescharacteristic
215#336—31no—
216#336C2×D311yescharacteristic
217C23×D3C2×D411yescharacteristic
218C2×C3×Q8—21no—
219C2×C3×Q8—21no—
220C2×C3×Q8—21no—
221C2×C3×Q8—21no—
222C2×C3×Q8—21no—
223C2×C3×Q8—21no—
224C2×C3×Q8—21no—
225C2×C3×Q8—21no—
226C2×C3×Q8C22×C412yes—
227C2×C3×Q8C22×C412yes—
228C2×C3×Q8C2×D412yes—
229C2×C3×Q8#4112yes—
230C22×C3×C4—21no—
231C22×C3×C4—21no—
232C22×C3×C4—21no—
233C22×C3×C4—21no—
234C22×C3×C4C2×D411yescharacteristic
235C22×C3×C4C2×D411yescharacteristic
236C22×C3×C4C2411yescharacteristic
237C22×Dic3—21no—
238C22×Dic3—21no—
239C22×Dic3—21no—
240C22×Dic3—21no—
241C22×Dic3C2×D411yescharacteristic
242C22×Dic3C2×D411yescharacteristic
243C22×Dic3C2×D411yescharacteristic
244D3×Q8—28no—
245D3×Q8—28no—
246D3×Q8—28no—
247D3×Q8—28no—
248C2×C4×D3—24no—
249C2×C4×D3—24no—
250C2×C4×D3—24no—
251C2×C4×D3—21no—
252C2×C4×D3—21no—
253C2×C4×D3—21no—
254C2×C4×D3—21no—
255C2×C4×D3C22×C412yes—
256C2×C4×D3#4112yes—
257C2×Dic6—24no—
258C2×Dic6—24no—
259C2×Dic6—21no—
260C2×Dic6—21no—
261C2×Dic6—21no—
262C2×Dic6—24no—
263C2×Dic6C22×C412yes—
264C2×Dic6C2×D412yes—
265C2×Dic6#4112yes—
266C3×Q16—28no—
267C2×C3×C8—21no—
268C2×C3×C8—21no—
269C2×C3×C8—21no—
270C2×C3×C8—21no—
271C2×C3×C8—21no—
272C2×C3×C8C22×C412yes—
273C3×C4⋊C4—24no—
274C3×C4⋊C4—21no—
275C3×C4⋊C4—21no—
276C3×C4⋊C4—21no—
277C3×C4⋊C4C2×D412yes—
278C3×C42—24no—
279C3×C42—21no—
280C3×C42—21no—
281#216—28no—
282(C2×D3)⋊C4—24no—
283(C2×D3)⋊C4—24no—
284(C2×D3)⋊C4—22no—
285(C2×D3)⋊C4—22no—
286(C2×D3)⋊C4—81no—
287C4⋊Dic3—21no—
288C4⋊Dic3—21no—
289C4⋊Dic3—24no—
290C4⋊Dic3—21no—
291C4⋊Dic3—21no—
292C4⋊Dic3—42no—
293C4⋊Dic3C22×C412yes—
294C4⋊Dic3C2×D412yes—
295Dic3⋊C4—24no—
296Dic3⋊C4—24no—
297Dic3⋊C4—22no—
298Dic3⋊C4—22no—
299Dic3⋊C4—24no—
300Dic3⋊C4—81no—
301C4×Dic3—24no—
302C4×Dic3—24no—
303C4×Dic3—24no—
304C4×Dic3—24no—
305C4×Dic3—42no—
306C4×Dic3—81no—
307C4×Dic3C2×D412yes—
308C4×Dic3C2×D412yes—
309C2×C3⋊C8—21no—
310C2×C3⋊C8—21no—
311C2×C3⋊C8—21no—
312C2×C3⋊C8—21no—
313C2×C3⋊C8—21no—
314C2×C3⋊C8C22×C412yes—
315C22×Q8—34no—
316C22×Q8—31no—
317C22×Q8—61no—
318C22×Q8—62no—
319C22×Q8—62no—
320C22×Q8—62no—
321C22×Q8—62no—
322C22×Q8—62no—
323C22×Q8C22×D311yescharacteristic
324C22×Q8C22×D311yescharacteristic
325C23×C4—31no—
326C23×C4—61no—
327C2×Q16—22no—
328C2×Q16—22no—
329C2×Q16—34no—
330C2×Q16—62no—
331C2×Q16—62no—
332C2×Q16C4×D314yes—
333C22×C8—31no—
334C22×C8—31no—
335C22×C8C22×D311yescharacteristic
336C22×C8C22×D311yescharacteristic
337C22⋊Q8—34no—
338C22⋊Q8—62no—
339C4×Q8—22no—
340C4×Q8—22no—
341C4×Q8—34no—
342C4×Q8—34no—
343C4×Q8—62no—
344C4×Q8—62no—
345C4×Q8—68no—
346C4×Q8—62no—
347C4×Q8—62no—
348C4×Q8—62no—
349C4×Q8—62no—
350C4×Q8—68no—
351#117—62no—
352#117—62no—
353#117—68no—
354#117—62no—
355#117—68no—
356#117—62no—
357C2×C4⋊C4—21no—
358C2×C4⋊C4—31no—
359C2×C4⋊C4—31no—
360C2×C4⋊C4—31no—
361C2×C4⋊C4—31no—
362C2×C4⋊C4—31no—
363C2×C4⋊C4—61no—
364C2×C4⋊C4—61no—
365C2×C4⋊C4—61no—
366C2×C4⋊C4—61no—
367C2×C4⋊C4—61no—
368C2×C4⋊C4—61no—
369C2×C4⋊C4C22×D311yescharacteristic
370C2×C4⋊C4C22×D311yescharacteristic
371C2×C22⋊C4—31no—
372C2×C22⋊C4—31no—
373C2×C22⋊C4—61no—
374C2×C22⋊C4—61no—
375C2×C22⋊C4—61no—
376C2×C42—21no—
377C2×C42—31no—
378C2×C42—61no—
379C2×C42—61no—
380C2×C42—61no—
381C2×C42—61no—
382C2×C42—61no—
383C2×C42—61no—
384C2×C42C22×D311yescharacteristic
385#107—62no—
386#106—62no—
387#103—22no—
388#103—22no—
389#103—34no—
390#103—34no—
391#103—62no—
392#103—62no—
393#103—62no—
394#103—62no—
395C22⋊C8—34no—
396C22⋊C8—62no—
397#97—62no—
398C4×C8—62no—
399#95—21no—
400#95—21no—
401#95—61no—
402#95—61no—
403#95—61no—
404C23×C3C22×D411yescharacteristic
405C22×D3—21no—
406C22×D3—21no—
407C22×D3—21no—
408C22×D3—21no—
409C22×D3—21no—
410C22×D3—21no—
411C22×D3C4×D412yes—
412C3×Q8—22no—
413C3×Q8—22no—
414C3×Q8—22no—
415C3×Q8—22no—
416C3×Q8—22no—
417C3×Q8—41no—
418C3×Q8—41no—
419C3×Q8C4×D414yes—
420C2×C3×C4—22no—
421C2×C3×C4—22no—
422C2×C3×C4—22no—
423C2×C3×C4—22no—
424C2×C3×C4—21no—
425C2×C3×C4—22no—
426C2×C3×C4—21no—
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×C4C23×C411yescharacteristic
439C2×C3×C4C22×D411yescharacteristic
440C2×C3×C4C22×D411yescharacteristic
441C2×C3×C4C2×#4111yescharacteristic
442C2×C3×C4C2×#4111yescharacteristic
443C2×C3×C4C2×#4111yescharacteristic
444C2×Dic3—22no—
445C2×Dic3—21no—
446C2×Dic3—22no—
447C2×Dic3—21no—
448C2×Dic3—22no—
449C2×Dic3—21no—
450C2×Dic3—21no—
451C2×Dic3—21no—
452C2×Dic3—21no—
453C2×Dic3—22no—
454C2×Dic3—22no—
455C2×Dic3—41no—
456C2×Dic3—41no—
457C2×Dic3—41no—
458C2×Dic3—41no—
459C2×Dic3—41no—
460C2×Dic3—41no—
461C2×Dic3—41no—
462C2×Dic3C4×D412yes—
463C2×Dic3#12012yes—
464C2×Dic3#12012yes—
465C4×D3—216no—
466C4×D3—22no—
467C4×D3—22no—
468C4×D3—22no—
469C4×D3—22no—
470Dic6—216no—
471Dic6—22no—
472Dic6—22no—
473Dic6—22no—
474Dic6C4×D414yes—
475C3×C8—22no—
476C3×C8—41no—
477C3⋊C8—22no—
478C3⋊C8—41no—
479C24—31no—
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—32no—
489C2×Q8—32no—
490C2×Q8—32no—
491C2×Q8—64no—
492C2×Q8—64no—
493C2×Q8—64no—
494C2×Q8—68no—
495C2×Q8—68no—
496C2×Q8—68no—
497C2×Q8—68no—
498C2×Q8—61no—
499C2×Q8—61no—
500C2×Q8—61no—
501C2×Q8C2×C4×D312yes—
502C2×Q8C2×C4×D312yes—
503C2×Q8D3×D412yes—
504C2×Q8#23712yes—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—21no—
509C22×C4—31no—
510C22×C4—31no—
511C22×C4—31no—
512C22×C4—32no—
513C22×C4—32no—
514C22×C4—64no—
515C22×C4—64no—
516C22×C4—64no—
517C22×C4—61no—
518C22×C4—61no—
519C22×C4—61no—
520C22×C4—61no—
521C22×C4—61no—
522C22×C4—61no—
523C22×C4—61no—
524C22×C4—61no—
525C22×C4D3×D411yescharacteristic
526C22×C4D3×D411yescharacteristic
527C22×C4C23×D311yescharacteristic
528Q16—28no—
529Q16—68no—
530C2×C8—21no—
531C2×C8—21no—
532C2×C8—21no—
533C2×C8—21no—
534C2×C8—21no—
535C2×C8—32no—
536C2×C8—61no—
537C2×C8—61no—
538C2×C8—61no—
539C2×C8—61no—
540C2×C8—61no—
541C2×C8C2×C4×D312yes—
542C4⋊C4—24no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—32no—
547C4⋊C4—32no—
548C4⋊C4—62no—
549C4⋊C4—62no—
550C4⋊C4—64no—
551C4⋊C4—64no—
552C4⋊C4—64no—
553C4⋊C4—64no—
554C4⋊C4—61no—
555C4⋊C4—61no—
556C4⋊C4—61no—
557C4⋊C4—61no—
558C4⋊C4—122no—
559C4⋊C4—241no—
560C4⋊C4D3×D412yes—
561C22⋊C4—62no—
562C22⋊C4—62no—
563C22⋊C4—64no—
564C22⋊C4—64no—
565C22⋊C4—241no—
566C42—24no—
567C42—21no—
568C42—21no—
569C42—32no—
570C42—32no—
571C42—64no—
572C42—64no—
573C42—64no—
574C42—64no—
575C42—122no—
576C42—241no—
577C22×C3C2×C4×D411yescharacteristic
578C22×C3C2×#12011yescharacteristic
579C22×C3#52511yescharacteristic
580C22×C3#57711yescharacteristic
581C22×C3#57811yescharacteristic
582C22×C3#57811yescharacteristic
583C22×C3#57811yescharacteristic
584C2×D3—22no—
585C2×D3—22no—
586C2×D3—22no—
587C2×D3—41no—
588C2×D3—41no—
589C2×D3—41no—
590C2×D3—41no—
591C3×C4—24no—
592C3×C4—41no—
593C3×C4—41no—
594C3×C4—42no—
595C3×C4—42no—
596C3×C4—81no—
597C3×C4C2×C4×D411yescharacteristic
598C3×C4C2×C4×D411yescharacteristic
599C3×C4#52511yescharacteristic
600C3×C4#52511yescharacteristic
601Dic3—22no—
602Dic3—22no—
603Dic3—22no—
604Dic3—24no—
605Dic3—42no—
606Dic3—42no—
607Dic3—81no—
608C23—32no—
609C23—61no—
610C23—61no—
611C23—61no—
612C23—61no—
613C23—61no—
614C23—61no—
615C23C2×D3×D411yescharacteristic
616Q8—22no—
617Q8—22no—
618Q8—22no—
619Q8—22no—
620Q8—22no—
621Q8—34no—
622Q8—41no—
623Q8—41no—
624Q8—616no—
625Q8—62no—
626Q8—62no—
627Q8—62no—
628Q8#67⋊C414yes—
629C2×C4—22no—
630C2×C4—22no—
631C2×C4—22no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—22no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—22no—
640C2×C4—32no—
641C2×C4—32no—
642C2×C4—32no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—616no—
651C2×C4—61no—
652C2×C4—61no—
653C2×C4—61no—
654C2×C4—61no—
655C2×C4—62no—
656C2×C4—61no—
657C2×C4—62no—
658C2×C4—61no—
659C2×C4—62no—
660C2×C4—62no—
661C2×C4—62no—
662C2×C4—62no—
663C2×C4—62no—
664C2×C4—62no—
665C2×C4—62no—
666C2×C4—121no—
667C2×C4—121no—
668C2×C4—121no—
669C2×C4—121no—
670C2×C4—121no—
671C2×C4—121no—
672C2×C4—121no—
673C2×C4C22×C4×D311yescharacteristic
674C2×C4C2×D3×D411yescharacteristic
675C2×C4C2×D3×D411yescharacteristic
676C2×C4C2×#23711yescharacteristic
677C2×C4D3×#4111yescharacteristic
678C2×C4D3×#4111yescharacteristic
679C8—22no—
680C8—41no—
681C8—62no—
682C8—121no—
683C2×C3C4×#12011yescharacteristic
684C2×C3#294711yescharacteristic
685C2×C3#295011yescharacteristic
686C2×C3#301111yescharacteristic
687C2×C3#301311yescharacteristic
688C2×C3#312111yescharacteristic
689C2×C3#312711yescharacteristic
690D3—42no—
691C22—62no—
692C22—62no—
693C22—62no—
694C22—121no—
695C22—121no—
696C22—121no—
697C22—121no—
698C22C4×D3×D411yescharacteristic
699C22D3×#12011yescharacteristic
700C22#560611yescharacteristic
701C22#576611yescharacteristic
702C22#577011yescharacteristic
703C22#577911yescharacteristic
704C22#577911yescharacteristic
705C4—24no—
706C4—41no—
707C4—41no—
708C4—42no—
709C4—42no—
710C4—62no—
711C4—62no—
712C4—62no—
713C4—64no—
714C4—81no—
715C4—122no—
716C4—122no—
717C4—241no—
718C4C2×#67⋊C411yescharacteristic
719C4C4×D3×D411yescharacteristic
720C4#560611yescharacteristic
721C4#565611yescharacteristic
722C3#2146311yescharacteristic, complemented, Sylow
723C2—122no—
724C2#7465911yescharacteristic
725C2#7971911yescharacteristic
726C2#7983111yescharacteristic
727C2#8018511yescharacteristic
728C2#8023211yescharacteristic
729C2#8046111yescharacteristic
730C2#8057211yescharacteristic
subgroupG/H
centerC23C2×D3×D4
commutatorC2×C3×C4C23×C4
FrattiniC22×C4C23×D3
FittingC3×#1878C2
socleC23×C3C22×D4
prime radicalC23×D3C2×D4
cosocleC22×C3×C4C24
hypercenter#1878D3
hypocenterC3#21463
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1878

Complements

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

NH ≅ G/Ntype
3. C2×#5184C2semidirect
4. C2×#4790C2semidirect
6. C3×#1878C2semidirect
7. #71628C2semidirect
10. Dic3×#103C2semidirect
11. #69690C2semidirect
13. #68783C2semidirect
14. #68684C2semidirect
40. #5186C4semidirect
71. #1878D3semidirect
722. C3#21463semidirect

Maximal subgroups

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

subgroupindex
C2×#55722
C2×#51862
C2×#51842
C2×#47902
#766112
C3×#18782
#716282
#702692
#702662
Dic3×#1032
#696902
#688762
#687832
#686842
#686012
#214633