Finite Group Databasebeta

← #11870628

Subgroups — #11870628

Order 1152.

859 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
1C4×#3799C211yesmaximal, characteristic, complemented
2#10593870C211yesmaximal, characteristic, complemented
3C4×#3745C211yesmaximal, characteristic, complemented
4C3×C4×Dic12C211yesmaximal, characteristic, complemented
5C3×#4685C211yesmaximal, characteristic, complemented
6#10590967C211yesmaximal, characteristic
7#10590966C211yesmaximal, characteristic, complemented
8#10590811C211yesmaximal, characteristic, complemented
9#10590801C211yesmaximal, characteristic, complemented
10#10590774C211yesmaximal, characteristic, complemented
11#10590770C211yesmaximal, characteristic, complemented
12#10590710C211yesmaximal, characteristic, complemented
13#10590705C211yesmaximal, characteristic, complemented
14C4×#3717C211yesmaximal, characteristic, complemented
15C4×#3717C211yesmaximal, characteristic, complemented
16#79746—31nomaximal
17#79299—31nomaximal
18C2×#3799C2211yescharacteristic
19C2×#3745C2211yescharacteristic
20C4×C4⋊(C3⋊D3)C2211yescharacteristic
21C4×C4⋊(C3⋊D3)C2211yescharacteristic
22C2×C3×Dic12C2211yescharacteristic
23C3×C42×D3C2211yescharacteristic
24C3×C4×Dic6C2211yescharacteristic
25C3×C4×Dic6C2211yescharacteristic
26#63909C2211yescharacteristic
27#63904—21no—
28C4×#626—21no—
29C4×#626—21no—
30#63894C2211yescharacteristic
31C4×#624—21no—
32#63874—21no—
33#63869C2211yescharacteristic
34#63868—21no—
35#63864C2211yescharacteristic
36#63856C2211yescharacteristic
37#63850—21no—
38Dic3×Dic6C2211yescharacteristic
39#63841C2211yescharacteristic
40#63836—21no—
41C2×#3717C2211yescharacteristic
42C2×#3717C2211yescharacteristic
43C32×C4×C8C2211yescharacteristic
44#63648C2211yescharacteristic
45#63648C2211yescharacteristic
46#63645C2211yescharacteristic
47C3×(C2×D3)⋊C8C2211yescharacteristic
48C3×(C2×D3)⋊C8C2211yescharacteristic
49C3×#818C2211yescharacteristic
50C3×#816C2211yescharacteristic
51C3×#816C2211yescharacteristic
52C3×Dic3⋊C8C2211yescharacteristic
53C3×Dic3⋊C8C2211yescharacteristic
54C3×C4×C3⋊C8C2211yescharacteristic
55#63573C2211yescharacteristic
56#63573C2211yescharacteristic
57#63566C2211yescharacteristic
58#63566C2211yescharacteristic
59#63564C2211yescharacteristic
60#63564C2211yescharacteristic
61#5580—31no—
62C4×#239—31no—
63#5479—31no—
64C4×#235—31no—
65C3×C4×Q16—31no—
66C3×#431—31no—
67#5187—31no—
68#5185—31no—
69C4×#215—31no—
70C4×#215—31no—
71#4891—31no—
72#4885—31no—
73#4847—31no—
74#4845—31no—
75#4844—31no—
76#4829—31no—
77#4819—31no—
78#4814—31no—
79#4810—31no—
80#4796—31no—
81#4737—31no—
82#4734—31no—
83#4733—31no—
84#4723—31no—
85C4×Dic12D311yescharacteristic, complemented
86C4×D24—31no—
87C4×D24—31no—
88C4×D24—61no—
89C4×#204—31no—
90C4×#204—31no—
91#4685D311yescharacteristic, complemented
92C2×C4⋊(C3⋊D3)C2311yescharacteristic
93C2×C4⋊(C3⋊D3)C2311yescharacteristic
94C2×C4×C3⋊D3—21no—
95C2×C4×C3⋊D3—21no—
96C2×C3×C4×D3D411yescharacteristic
97C2×C3×C4×D3D411yescharacteristic
98C2×C3×C4×D3C2311yescharacteristic
99C2×C3×Dic6C2311yescharacteristic
100C2×C3×Dic6C2311yescharacteristic
101C2×#626—21no—
102C2×#626—21no—
103C2×#624—21no—
104C2×#624—21no—
105#3799—22no—
106#3799—22no—
107C2×C32×C8C2311yescharacteristic
108C2×C32×C8C2311yescharacteristic
109C32×C42C2311yescharacteristic
110#3752—21no—
111#3752—21no—
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114#3745—22no—
115C3×C4⋊Dic3C2311yescharacteristic
116C3×C4⋊Dic3C2311yescharacteristic
117C3×Dic3⋊C4—21no—
118C3×Dic3⋊C4—21no—
119C3×C4×Dic3—21no—
120C3×C4×Dic3—21no—
121C3×C4×Dic3D411yescharacteristic
122C3×C4×Dic3D411yescharacteristic
123C3×C4×Dic3C2311yescharacteristic
124C2×C3×C3⋊C8C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C3×Dic12—22no—
127#3724—21no—
128#3724—21no—
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
131#3722—21no—
132#3722—21no—
133#3722—21no—
134#3722—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137Dic32—21no—
138Dic32—21no—
139#3717—22no—
140#3717—22no—
141#3102—91noSylow
142C2×#239—31no—
143C2×#235—31no—
144C2×C3×Q16—31no—
145C3×C4×Q8—31no—
146C3×C4×Q8—31no—
147C2×C3×C42—31no—
148#947—31no—
149#946—31no—
150Q8×Dic3—31no—
151C2×#215—31no—
152C2×#215—31no—
153#930—31no—
154#929—61no—
155C4×#67—61no—
156C4×#67—61no—
157C4×#67—61no—
158#926—31no—
159#924—31no—
160C2×Dic12C2×D311yescharacteristic
161C2×D24—31no—
162C2×D24—31no—
163C2×D24—61no—
164C2×#204—31no—
165C2×#204—31no—
166#898—61no—
167#895—31no—
168#894—61no—
169#893—31no—
170#893—61no—
171#892—31no—
172#892—61no—
173#890—31no—
174#876—61no—
175#875—31no—
176C4×D12—31no—
177C4×D12—31no—
178C4×D12—31no—
179C4×D12—31no—
180C4×D12—31no—
181C4×D12—61no—
182C4×D12—61no—
183C4×D12—61no—
184C4×D12—61no—
185#872—61no—
186#872—61no—
187#872—61no—
188C42×D3—61no—
189C42×D3—61no—
190C42×D3C2×D311yescharacteristic
191#870—31no—
192C4×Dic6—31no—
193C4×Dic6C2×D311yescharacteristic
194C4×Dic6C2×D311yescharacteristic
195C3×#107—31no—
196C3×C4⋊C8—31no—
197C3×C4⋊C8—31no—
198C3×#103—31no—
199C3×#103—31no—
200C3×C22⋊C8—31no—
201C3×C22⋊C8—31no—
202C3×C4×C8—21no—
203C3×C4×C8—31no—
204C3×C4×C8C2×D311yescharacteristic
205C3×C4×C8C2×D311yescharacteristic
206#835—31no—
207#835—31no—
208#821—31no—
209#821—31no—
210#821—31no—
211#821—31no—
212#821—31no—
213#821—31no—
214#821—61no—
215#821—61no—
216(C2×D3)⋊C8C2×D311yescharacteristic
217(C2×D3)⋊C8C2×D311yescharacteristic
218#818—31no—
219#818—31no—
220#818—61no—
221#818C2×D311yescharacteristic
222#817—31no—
223#817—31no—
224#816—31no—
225#816—31no—
226#816C2×D311yescharacteristic
227#816C2×D311yescharacteristic
228Dic3⋊C8C2×D311yescharacteristic
229Dic3⋊C8C2×D311yescharacteristic
230#809—31no—
231#809—31no—
232#808—31no—
233#808—31no—
234C4×C3⋊C8C2×D311yescharacteristic
235C22×C3⋊D3—21no—
236C22×C3⋊D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C2×C32×C4C2×D411yescharacteristic
239C2×C32×C4C2×D411yescharacteristic
240C2×C32×C4C2411yescharacteristic
241C2×C3⋊Dic3—21no—
242C2×C3⋊Dic3—21no—
243C4⋊(C3⋊D3)—21no—
244C4⋊(C3⋊D3)—21no—
245C4⋊(C3⋊D3)—21no—
246C4⋊(C3⋊D3)#4112yes—
247C4×C3⋊D3—42no—
248C4×C3⋊D3—42no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C3×C4×D3—22no—
257C3×C4×D3—21no—
258C3×C4×D3—21no—
259C3×C4×D3—41no—
260C3×Dic6—21no—
261C3×Dic6—21no—
262C3×Dic6—21no—
263C3×Dic6#4112yes—
264#626—24no—
265#626—42no—
266#624—24no—
267#624—42no—
268C32×C8—21no—
269C32×C8—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#529—91no—
273C4×#41—91no—
274#485—91no—
275#482—91no—
276#479—91no—
277#478—91no—
278#464—91no—
279#463—91no—
280#452—91no—
281#449—91no—
282C4×Q16—31no—
283C4×SD16—91no—
284C4×SD16—91no—
285C4×D8—91no—
286#431—31no—
287C2×C3×Q8—31no—
288C2×C3×Q8—31no—
289C22×C3×C4—31no—
290C22×C3×C4—31no—
291C22×C3×C4—31no—
292C2×#67—61no—
293C2×#67—61no—
294#239—62no—
295#239—62no—
296#235—62no—
297#235—62no—
298C2×D12—31no—
299C2×D12—31no—
300C2×D12—31no—
301C2×D12—31no—
302C2×D12—61no—
303C2×D12—61no—
304C2×D12—61no—
305C2×D12—61no—
306C2×C4×D3—61no—
307C2×C4×D3—61no—
308C2×C4×D3—61no—
309C2×C4×D3—61no—
310C2×C4×D3—61no—
311C2×C4×D3—61no—
312C2×C4×D3—61no—
313C2×C4×D3—61no—
314C2×C4×D3—121no—
315C2×C4×D3—121no—
316C2×C4×D3D1211yescharacteristic
317C2×C4×D3D1211yescharacteristic
318C2×C4×D3C22×D311yescharacteristic
319C2×Dic6C22×D311yescharacteristic
320C2×Dic6C22×D311yescharacteristic
321C3×Q16—62no—
322C2×C3×C8—21no—
323C2×C3×C8—21no—
324C2×C3×C8—31no—
325C2×C3×C8—31no—
326C2×C3×C8C22×D311yescharacteristic
327C2×C3×C8C22×D311yescharacteristic
328C2×C3×C8C22×D311yescharacteristic
329C2×C3×C8C22×D311yescharacteristic
330C3×C4⋊C4—31no—
331C3×C4⋊C4—31no—
332C3×C4⋊C4—61no—
333C3×C4⋊C4—61no—
334C3×C42—21no—
335C3×C42—31no—
336C3×C42—31no—
337C3×C42—31no—
338C3×C42—61no—
339C3×C42—61no—
340C3×C42C22×D311yescharacteristic
341C3×C42C22×D311yescharacteristic
342#217—61no—
343#217—61no—
344#215—62no—
345#215—62no—
346(C2×D3)⋊C4—61no—
347(C2×D3)⋊C4—61no—
348(C2×D3)⋊C4—61no—
349(C2×D3)⋊C4—61no—
350(C2×D3)⋊C4—61no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4—121no—
361(C2×D3)⋊C4—121no—
362C4⋊Dic3—31no—
363C4⋊Dic3—31no—
364C4⋊Dic3—31no—
365C4⋊Dic3—31no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3C22×D311yescharacteristic
371C4⋊Dic3C22×D311yescharacteristic
372Dic3⋊C4—21no—
373Dic3⋊C4—21no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380C4×Dic3—21no—
381C4×Dic3—21no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3D1211yescharacteristic
387C4×Dic3D1211yescharacteristic
388C4×Dic3C22×D311yescharacteristic
389C2×C3⋊C8C22×D311yescharacteristic
390C2×C3⋊C8C22×D311yescharacteristic
391Dic12—22no—
392D24—62no—
393D24—62no—
394D24—64no—
395#204—62no—
396#204—62no—
397C22×C32C22×D411yescharacteristic
398C2×C3⋊D3—22no—
399C2×C3⋊D3—41no—
400C2×C3⋊D3—41no—
401C2×C3⋊D3—41no—
402C2×C3⋊D3—41no—
403C2×C3⋊D3—41no—
404C2×C3×D3—21no—
405C2×C3×D3—21no—
406C2×C3×D3—21no—
407C32×C4—21no—
408C32×C4#13512yes—
409C32×C4C2×#4111yescharacteristic
410C32×C4C2×#4111yescharacteristic
411C3⋊Dic3—41no—
412C3⋊Dic3—41no—
413C3×Dic3—21no—
414C3×Dic3—22no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—41no—
418C3×Dic3—41no—
419C3×Dic3—41no—
420C2×#41—91no—
421C2×Q16—31no—
422C2×SD16—91no—
423C2×SD16—91no—
424C2×D8—91no—
425#126—181no—
426#125—91no—
427#124—91no—
428#123—181no—
429C22⋊Q8—91no—
430#121—91no—
431C4×Q8—31no—
432C4×Q8—31no—
433C4×Q8—91no—
434C4×D4—91no—
435C4×D4—91no—
436C4×D4—91no—
437C4×D4—181no—
438C4×D4—181no—
439C4×D4—181no—
440#117—91no—
441#117—181no—
442#117—181no—
443C2×C42—31no—
444C2×C42—181no—
445#107—31no—
446#107—91no—
447#106—91no—
448#106—91no—
449C4⋊C8—31no—
450C4⋊C8—31no—
451#103—31no—
452#103—31no—
453#103—91no—
454#103—91no—
455#102—91no—
456#102—91no—
457#102—91no—
458#102—91no—
459C22⋊C8—31no—
460C22⋊C8—31no—
461C4×C8—31no—
462C4×C8D3211yescharacteristic
463C23×C3—31no—
464C22×D3—61no—
465C22×D3—61no—
466C22×D3—61no—
467C22×D3—61no—
468C22×D3—121no—
469C22×D3—121no—
470C22×D3C2×D1211yescharacteristic
471C3×Q8—32no—
472C3×Q8—61no—
473C3×Q8—61no—
474C3×Q8—61no—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
477C2×C3×C4—21no—
478C2×C3×C4—31no—
479C2×C3×C4—31no—
480C2×C3×C4—31no—
481C2×C3×C4—61no—
482C2×C3×C4—62no—
483C2×C3×C4—61no—
484C2×C3×C4—61no—
485C2×C3×C4—61no—
486C2×C3×C4—61no—
487C2×C3×C4—61no—
488C2×C3×C4—121no—
489C2×C3×C4C2×D1211yescharacteristic
490C2×C3×C4C2×D1211yescharacteristic
491C2×C3×C4D3×D411yescharacteristic
492C2×C3×C4D3×D411yescharacteristic
493C2×C3×C4C23×D311yescharacteristic
494C2×C3×C4C23×D311yescharacteristic
495#67—64no—
496#67—122no—
497C2×Dic3—21no—
498C2×Dic3—21no—
499C2×Dic3—21no—
500C2×Dic3—21no—
501C2×Dic3—61no—
502C2×Dic3—61no—
503C2×Dic3—61no—
504C2×Dic3—61no—
505C2×Dic3—121no—
506C2×Dic3—121no—
507C2×Dic3C2×D1211yescharacteristic
508C2×Dic3C2×D1211yescharacteristic
509C2×Dic3C2×D1211yescharacteristic
510D12—32no—
511D12—32no—
512D12—62no—
513D12—62no—
514D12—64no—
515D12—61no—
516D12—61no—
517D12—61no—
518D12—61no—
519D12—61no—
520D12—61no—
521D12—121no—
522D12—121no—
523D12—122no—
524C4×D3—22no—
525C4×D3—21no—
526C4×D3—21no—
527C4×D3—41no—
528C4×D3—64no—
529C4×D3—64no—
530C4×D3—122no—
531C4×D3—122no—
532C4×D3—122no—
533C4×D3—122no—
534C4×D3—122no—
535C4×D3—122no—
536C4×D3—242no—
537C4×D3—242no—
538Dic6—21no—
539Dic6—21no—
540Dic6—21no—
541Dic6#23512yes—
542C3×C8—22no—
543C3×C8—21no—
544C3×C8—21no—
545C3×C8—21no—
546C3×C8—21no—
547C3×C8—41no—
548C3×C8—61no—
549C3×C8—61no—
550C3⋊C8—21no—
551C3⋊C8—21no—
552C2×C32#52511yescharacteristic
553C2×C32C2×#13511yescharacteristic
554C2×C32#57511yescharacteristic
555C3⋊D3—42no—
556C3⋊D3—81no—
557C3×D3—41no—
558#41—182no—
559#41—182no—
560C2×Q8—31no—
561C2×Q8—31no—
562C2×D4—91no—
563C2×D4—91no—
564C2×D4—181no—
565C2×D4—181no—
566C22×C4—31no—
567C22×C4—31no—
568C22×C4—31no—
569C22×C4—181no—
570C22×C4—181no—
571C22×C4—181no—
572C22×C4—181no—
573Q16—62no—
574SD16—182no—
575SD16—182no—
576D8—182no—
577C2×C8—31no—
578C2×C8—31no—
579C2×C8C2×D3211yescharacteristic
580C2×C8C2×D3211yescharacteristic
581C4⋊C4—31no—
582C4⋊C4—31no—
583C4⋊C4—61no—
584C4⋊C4—61no—
585C4⋊C4—91no—
586C4⋊C4—91no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C4⋊C4—181no—
591C22⋊C4—181no—
592C22⋊C4—181no—
593C22⋊C4—181no—
594C22⋊C4—181no—
595C22⋊C4—181no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C42—31no—
600C42—31no—
601C42—31no—
602C42—61no—
603C42—61no—
604C42—181no—
605C42—181no—
606C42C2×D3211yescharacteristic
607C22×C3—21no—
608C22×C3—61no—
609C22×C3—61no—
610C22×C3—61no—
611C22×C3C22×D1211yescharacteristic
612C22×C3C2×D3×D411yescharacteristic
613C2×D3—21no—
614C2×D3—21no—
615C2×D3—21no—
616C2×D3—62no—
617C2×D3—62no—
618C2×D3—122no—
619C2×D3—121no—
620C2×D3—121no—
621C2×D3—121no—
622C2×D3—121no—
623C2×D3—122no—
624C2×D3—121no—
625C2×D3—121no—
626C2×D3—121no—
627C2×D3—121no—
628C2×D3—121no—
629C2×D3—121no—
630C2×D3—241no—
631C2×D3—241no—
632C2×D3—241no—
633C2×D3—241no—
634C3×C4—21no—
635C3×C4—21no—
636C3×C4—21no—
637C3×C4—21no—
638C3×C4—22no—
639C3×C4—41no—
640C3×C4—61no—
641C3×C4—61no—
642C3×C4—62no—
643C3×C4—61no—
644C3×C4—121no—
645C3×C4—121no—
646C3×C4—121no—
647C3×C4#90412yes—
648C3×C4#91912yes—
649C3×C4C2×#23511yescharacteristic
650C3×C4D3×#4111yescharacteristic
651C3×C4D3×#4111yescharacteristic
652C3×C4D3×#4111yescharacteristic
653Dic3—21no—
654Dic3—21no—
655Dic3—21no—
656Dic3—22no—
657Dic3—41no—
658Dic3—41no—
659Dic3—41no—
660Dic3—121no—
661Dic3—121no—
662Dic3—121no—
663Dic3—121no—
664Dic3—241no—
665Dic3—241no—
666C32#310211yescharacteristic, complemented, Sylow
667C23—31no—
668C23—181no—
669C23—181no—
670Q8—32no—
671Q8—61no—
672Q8—61no—
673Q8—61no—
674D4—92no—
675D4—184no—
676D4—181no—
677D4—181no—
678D4—181no—
679D4—362no—
680C2×C4—31no—
681C2×C4—31no—
682C2×C4—31no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—62no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—121no—
691C2×C4—184no—
692C2×C4—181no—
693C2×C4—181no—
694C2×C4—362no—
695C2×C4—362no—
696C2×C4—362no—
697C2×C4D3×D1211yescharacteristic
698C2×C4D3×D1211yescharacteristic
699C2×C4C22×D3211yescharacteristic
700C8—21no—
701C8—21no—
702C8—61no—
703C8—61no—
704C2×C3—21no—
705C2×C3—21no—
706C2×C3—21no—
707C2×C3—121no—
708C2×C3#552411yescharacteristic
709C2×C3#554711yescharacteristic
710C2×C3C2×#90411yescharacteristic
711C2×C3#574811yescharacteristic
712C2×C3C2×#91911yescharacteristic
713C2×C3#576811yescharacteristic
714D3—41no—
715D3—122no—
716D3—122no—
717D3—242no—
718D3—242no—
719D3—241no—
720D3—241no—
721C22—61no—
722C22—61no—
723C22—61no—
724C22—182no—
725C22—361no—
726C22—361no—
727C22—361no—
728C22—361no—
729C22—361no—
730C22C2×D3×D1211yescharacteristic
731C4—21no—
732C4—61no—
733C4—61no—
734C4—61no—
735C4—62no—
736C4—121no—
737C4—121no—
738C4—121no—
739C4—361no—
740C4—361no—
741C4#6380812yes—
742C4D3×#23511yescharacteristic
743C4#6430611yescharacteristic
744C3—21no—
745C3#7929911yescharacteristic, complemented
746C3#7974611yescharacteristic, complemented
747C2—121no—
748C2—362no—
749C2—721no—
750C2#1059399711yescharacteristic
751C2#1059467611yescharacteristic
752C2C2×#6380811yescharacteristic
subgroupG/H
centerC2×C4D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×C8C22
socleC22×C32C22×D4
prime radical#10590967C2
hypercenterC4×C8D32
hypocenterC32#3102
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C2×C4 ◁ C42 ◁ C4×C8

Complements

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

NH ≅ G/Ntype
1. C4×#3799C2semidirect
2. #10593870C2semidirect
3. C4×#3745C2semidirect
4. C3×C4×Dic12C2semidirect
5. C3×#4685C2semidirect
7. #10590966C2semidirect
8. #10590811C2semidirect
9. #10590801C2semidirect
10. #10590774C2semidirect
11. #10590770C2semidirect
12. #10590710C2semidirect
13. #10590705C2semidirect
14. C4×#3717C2semidirect
15. C4×#3717C2semidirect
85. C4×Dic12D3semidirect
91. #4685D3semidirect
666. C32#3102semidirect
745. C3#79299semidirect
746. C3#79746semidirect

Maximal subgroups

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

subgroupindex
C4×#37992
#105938702
C4×#37452
C3×C4×Dic122
C3×#46852
#105909672
#105909662
#105908112
#105908012
#105907742
#105907702
#105907102
#105907052
C4×#37172
#797463
#792993