Finite Group Databasebeta

← #11895750

Subgroups — #11895750

Order 1152.

847 conjugacy classes of subgroups.

The subgroup lattice has 773 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10593929C211yesmaximal, characteristic, complemented
2#10593902C211yesmaximal, characteristic, complemented
3#10592412C211yesmaximal, characteristic, complemented
4C3×#4711C211yesmaximal, characteristic, complemented
5C3×#4701C211yesmaximal, characteristic, complemented
6#10590882C211yesmaximal, characteristic, complemented
7#10590878C211yesmaximal, characteristic, complemented
8#10590769C211yesmaximal, characteristic, complemented
9#10590759C211yesmaximal, characteristic, complemented
10#10590753C211yesmaximal, characteristic, complemented
11#10590753C211yesmaximal, characteristic, complemented
12#10590746C211yesmaximal, characteristic, complemented
13#10590745C211yesmaximal, characteristic, complemented
14#10590349C211yesmaximal, characteristic, complemented
15#10590271C211yesmaximal, characteristic, complemented
16#79969—31nomaximal
17#79851—31nomaximal
18C2×#3799—21no—
19#64083C2211yescharacteristic
20#64079C2211yescharacteristic
21C2×C3×D24C2211yescharacteristic
22C3×C4×D12C2211yescharacteristic
23C3×C4×D12C2211yescharacteristic
24C3×C4×Dic6C2211yescharacteristic
25#63918C2211yescharacteristic
26#63911C2211yescharacteristic
27#63911C2211yescharacteristic
28#63910—21no—
29#63910—21no—
30#63909—21no—
31#63899—21no—
32#63894C2211yescharacteristic
33#63894C2211yescharacteristic
34Dic3×D12C2211yescharacteristic
35Dic3×D12C2211yescharacteristic
36#63887—21no—
37D3×Dic3⋊C4—21no—
38#63869C2211yescharacteristic
39#63851—21no—
40C2×#3714C2211yescharacteristic
41C2×#3714C2211yescharacteristic
42C32×#97C2211yescharacteristic
43#63648C2211yescharacteristic
44#63648C2211yescharacteristic
45#63648C2211yescharacteristic
46#63648C2211yescharacteristic
47C3×#821C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×#817C2211yescharacteristic
50C3×#815C2211yescharacteristic
51C3×Dic3⋊C8C2211yescharacteristic
52C3×Dic3⋊C8C2211yescharacteristic
53C3×C8×Dic3C2211yescharacteristic
54C3×C4⋊(C3⋊C8)C2211yescharacteristic
55#63575C2211yescharacteristic
56#63573C2211yescharacteristic
57#63564C2211yescharacteristic
58#63564C2211yescharacteristic
59#63563C2211yescharacteristic
60#63563C2211yescharacteristic
61#5579—31no—
62#5577—31no—
63#5553—31no—
64#5539—31no—
65C3×#446—31no—
66C3×#442—31no—
67#5150—31no—
68#5150—31no—
69#5015—31no—
70#5009—31no—
71#4871—31no—
72#4870—31no—
73#4847—31no—
74#4847—31no—
75#4843—31no—
76#4843—31no—
77#4843—31no—
78#4842—31no—
79#4785—31no—
80#4764—31no—
81#4760—31no—
82#4756—31no—
83#4713—31no—
84#4713—31no—
85#4713—31no—
86#4713—61no—
87#4711—31no—
88#4711D311yescharacteristic, complemented
89#4701D311yescharacteristic, complemented
90#4694—31no—
91C4×D24—31no—
92C2×C4⋊(C3⋊D3)—21no—
93C2×C4⋊(C3⋊D3)—21no—
94C2×C4⋊(C3⋊D3)C2311yescharacteristic
95C2×C4⋊(C3⋊D3)C2311yescharacteristic
96C2×C3×D12C2311yescharacteristic
97C2×C3×D12C2311yescharacteristic
98C2×C3×C4×D3—21no—
99C2×C3×C4×D3—21no—
100C2×C3×Dic6D411yescharacteristic
101C2×#627—21no—
102C2×#626—21no—
103C2×#626—21no—
104C2×#626—21no—
105C2×#626—21no—
106C2×#624—21no—
107C2×#624—21no—
108C2×D3×Dic3—21no—
109C2×D3×Dic3—21no—
110#3799—44no—
111C2×C32×C8C2311yescharacteristic
112C2×C32×C8C2311yescharacteristic
113C32×C42C2311yescharacteristic
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115C4⋊(C3⋊Dic3)C2311yescharacteristic
116#3750—21no—
117#3750—21no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×C4⋊Dic3D411yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4D411yescharacteristic
124C3×Dic3⋊C4D411yescharacteristic
125C3×C4×Dic3C2311yescharacteristic
126C3×C4×Dic3C2311yescharacteristic
127C2×C3×C3⋊C8C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C3×D24—22no—
130#3724—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133#3722—21no—
134#3722—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137#3714—22no—
138#3714—22no—
139#3366—91noSylow
140C2×#239—61no—
141C2×#235—61no—
142C2×C3×D8—31no—
143C3×C4×Q8—31no—
144C3×C4×D4—31no—
145C3×C4×D4—31no—
146#946—61no—
147#940—31no—
148#940—31no—
149D4×Dic3—31no—
150D4×Dic3—31no—
151C2×#213—31no—
152C2×#213—31no—
153#930—61no—
154#924—61no—
155C2×Dic3⋊C4—61no—
156C2×D24—31no—
157C2×D24—31no—
158C2×D24C2×D311yescharacteristic
159#896—61no—
160#896—61no—
161#895—61no—
162#895—61no—
163#895—61no—
164#893—31no—
165#893—31no—
166D3×C4⋊C4—61no—
167#890—31no—
168#888—31no—
169#884—61no—
170#884—61no—
171#878—61no—
172#878—61no—
173#874—31no—
174#874—31no—
175#874—31no—
176#874—31no—
177#874—61no—
178C4×D12—31no—
179C4×D12—31no—
180C4×D12—31no—
181C4×D12—31no—
182C4×D12C2×D311yescharacteristic
183C4×D12C2×D311yescharacteristic
184#870—31no—
185#870—31no—
186#870—31no—
187#870—61no—
188#869—31no—
189C4×Dic6C2×D311yescharacteristic
190C3×#106—31no—
191C3×C4⋊C8—31no—
192C3×C4⋊C8—31no—
193C3×C4⋊C8—31no—
194C3×#102—31no—
195C3×#102—31no—
196C3×#97—21no—
197C3×#97—31no—
198C3×#97C2×D311yescharacteristic
199C3×#97C2×D311yescharacteristic
200C3×C4×C8—31no—
201#832—31no—
202#832—31no—
203#821—31no—
204#821—31no—
205#821—31no—
206#821—31no—
207#821—31no—
208#821—31no—
209#821—31no—
210#821—31no—
211#821—31no—
212#821—31no—
213#821—31no—
214#821—31no—
215#821—61no—
216#821—61no—
217#821—61no—
218#821—61no—
219#821C2×D311yescharacteristic
220#821C2×D311yescharacteristic
221#818—31no—
222#817—31no—
223#817C2×D311yescharacteristic
224#815C2×D311yescharacteristic
225Dic3⋊C8C2×D311yescharacteristic
226Dic3⋊C8C2×D311yescharacteristic
227C8×Dic3C2×D311yescharacteristic
228#809—31no—
229#809—31no—
230#808—31no—
231#807—31no—
232C4⋊(C3⋊C8)C2×D311yescharacteristic
233C22×C3⋊D3—21no—
234C22×C3⋊D3—21no—
235C22×C3×D3—21no—
236C22×C3×D3—21no—
237C2×C32×C4C2×D411yescharacteristic
238C2×C32×C4C2×D411yescharacteristic
239C2×C32×C4C2411yescharacteristic
240C2×C3⋊Dic3—21no—
241C2×C3⋊Dic3—21no—
242C4⋊(C3⋊D3)—21no—
243C4⋊(C3⋊D3)—21no—
244C4⋊(C3⋊D3)—21no—
245C4⋊(C3⋊D3)—21no—
246C4⋊(C3⋊D3)—42no—
247C4⋊(C3⋊D3)—81no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3C2×D411yescharacteristic
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C3×D12—21no—
255C3×D12—21no—
256C3×D12—21no—
257C3×D12#4112yescomplemented
258C3×C4×D3—42no—
259C3×C4×D3—81no—
260C3×Dic6—22no—
261#627—81no—
262#626—42no—
263#626—42no—
264#626—81no—
265#626—81no—
266#624—42no—
267#624—42no—
268D3×Dic3—42no—
269D3×Dic3—81no—
270C32×C8—21no—
271C32×C8—21no—
272C3×C3⋊C8—21no—
273C3×C3⋊C8—21no—
274#554—91no—
275#550—91no—
276#490—91no—
277#490—91no—
278#486—91no—
279#478—91no—
280#478—91no—
281#476—91no—
282#459—91no—
283#459—91no—
284#459—91no—
285#446—31no—
286#442—31no—
287#442—91no—
288C4×D8—91no—
289C2×C3×Q8—31no—
290C2×C3×D4—31no—
291C2×C3×D4—31no—
292C22×C3×C4—61no—
293C22×C3×C4—61no—
294C2×#67—61no—
295C2×#67—61no—
296C2×#67—61no—
297C2×#67—61no—
298C22×Dic3—61no—
299C22×Dic3—61no—
300#239—124no—
301#235—124no—
302C2×D12—31no—
303C2×D12—31no—
304C2×D12—31no—
305C2×D12—31no—
306C2×D12—61no—
307C2×D12—61no—
308C2×D12—61no—
309C2×D12—61no—
310C2×D12—61no—
311C2×D12—61no—
312C2×D12—61no—
313C2×D12—61no—
314C2×D12—61no—
315C2×D12—61no—
316C2×D12—121no—
317C2×D12—121no—
318C2×D12C22×D311yescharacteristic
319C2×D12C22×D311yescharacteristic
320C2×C4×D3—21no—
321C2×C4×D3—21no—
322C2×C4×D3—61no—
323C2×C4×D3—61no—
324C2×C4×D3—61no—
325C2×C4×D3—61no—
326C2×C4×D3—61no—
327C2×C4×D3—61no—
328C2×Dic6—61no—
329C2×Dic6—61no—
330C2×Dic6D1211yescharacteristic
331C3×D8—62no—
332C2×C3×C8—21no—
333C2×C3×C8—21no—
334C2×C3×C8—31no—
335C2×C3×C8—31no—
336C2×C3×C8C22×D311yescharacteristic
337C2×C3×C8C22×D311yescharacteristic
338C2×C3×C8C22×D311yescharacteristic
339C2×C3×C8C22×D311yescharacteristic
340C3×C4⋊C4—31no—
341C3×C4⋊C4—31no—
342C3×C4⋊C4—31no—
343C3×C4⋊C4—31no—
344C3×C4⋊C4—31no—
345C3×C22⋊C4—61no—
346C3×C22⋊C4—61no—
347C3×C42—21no—
348C3×C42—31no—
349C3×C42—31no—
350C3×C42C22×D311yescharacteristic
351C3×C42C22×D311yescharacteristic
352#217—61no—
353#217—61no—
354#213—62no—
355#213—62no—
356(C2×D3)⋊C4—21no—
357(C2×D3)⋊C4—21no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4—61no—
361(C2×D3)⋊C4—61no—
362(C2×D3)⋊C4—61no—
363(C2×D3)⋊C4—61no—
364C4⋊Dic3—31no—
365C4⋊Dic3—31no—
366C4⋊Dic3—31no—
367C4⋊Dic3—31no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3D1211yescharacteristic
373C4⋊Dic3C22×D311yescharacteristic
374C4⋊Dic3C22×D311yescharacteristic
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—121no—
384Dic3⋊C4—121no—
385Dic3⋊C4D1211yescharacteristic
386Dic3⋊C4D1211yescharacteristic
387C4×Dic3C22×D311yescharacteristic
388C4×Dic3C22×D311yescharacteristic
389C2×C3⋊C8C22×D311yescharacteristic
390C2×C3⋊C8C22×D311yescharacteristic
391D24—22no—
392D24—62no—
393D24—62no—
394C22×C32C22×D411yescharacteristic
395C2×C3⋊D3—41no—
396C2×C3⋊D3—41no—
397C2×C3⋊D3—41no—
398C2×C3⋊D3—41no—
399C2×C3⋊D3—41no—
400C2×C3⋊D3—41no—
401C2×C3×D3—22no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C2×C3×D3—41no—
407C32×C4—21no—
408C32×C4—21no—
409C32×C4C2×#4111yescharacteristic
410C32×C42−1+411yescharacteristic
411C3⋊Dic3—41no—
412C3⋊Dic3—41no—
413C3×Dic3—21no—
414C3×Dic3—21no—
415C3×Dic3—21no—
416C3×Dic3—41no—
417C3×Dic3—41no—
418C3×Dic3AGL(1,ℤ/8)12yes—
419C2×#41—181no—
420C2×D8—31no—
421C2×D8—91no—
422C2×D8—91no—
423C4⋊Q8—91no—
424#127—91no—
425#127—91no—
426#127—91no—
427#125—91no—
428#125—91no—
429C22⋊Q8—181no—
430C22⋊Q8—181no—
431C22⋊Q8—181no—
432#121—181no—
433#121—181no—
434#121—181no—
435C4×Q8—31no—
436C4×D4—31no—
437C4×D4—31no—
438C4×D4—91no—
439C4×D4—91no—
440C4×D4—91no—
441C4×D4—91no—
442C2×C4⋊C4—181no—
443#107—91no—
444#106—31no—
445#106—91no—
446C4⋊C8—31no—
447C4⋊C8—31no—
448C4⋊C8—31no—
449#102—31no—
450#102—31no—
451#102—91no—
452#102—91no—
453#102—91no—
454#102—91no—
455#102—91no—
456#102—91no—
457#102—91no—
458#102—91no—
459#97—31no—
460#97D3211yescharacteristic
461C4×C8—31no—
462C23×C3—61no—
463C23×C3—61no—
464C22×D3—21no—
465C22×D3—21no—
466C22×D3—61no—
467C22×D3—61no—
468C22×D3—61no—
469C22×D3—61no—
470C22×D3—121no—
471C22×D3—121no—
472C3×Q8—62no—
473C3×D4—32no—
474C3×D4—61no—
475C3×D4—61no—
476C3×D4—61no—
477C2×C3×C4—21no—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—31no—
481C2×C3×C4—31no—
482C2×C3×C4—31no—
483C2×C3×C4—31no—
484C2×C3×C4—61no—
485C2×C3×C4—61no—
486C2×C3×C4—122no—
487C2×C3×C4—241no—
488C2×C3×C4C2×D1211yescharacteristic
489C2×C3×C4C2×D1211yescharacteristic
490C2×C3×C4D3×D411yescharacteristic
491C2×C3×C4D3×D411yescharacteristic
492C2×C3×C4C23×D311yescharacteristic
493C2×C3×C4C23×D311yescharacteristic
494#67—122no—
495#67—122no—
496#67—241no—
497#67—241no—
498C2×Dic3—21no—
499C2×Dic3—21no—
500C2×Dic3—61no—
501C2×Dic3—61no—
502C2×Dic3—61no—
503C2×Dic3—61no—
504C2×Dic3—121no—
505C2×Dic3—121no—
506C2×Dic3—122no—
507C2×Dic3—241no—
508C2×Dic3C2×D1211yescharacteristic
509C2×Dic3C2×D1211yescharacteristic
510C2×Dic3C2×D1211yescharacteristic
511C2×Dic3C2×D1211yescharacteristic
512D12—21no—
513D12—21no—
514D12—21no—
515D12—61no—
516D12—61no—
517D12—61no—
518D12—61no—
519D12—61no—
520D12—61no—
521D12—61no—
522D12—61no—
523D12—121no—
524D12—121no—
525D12—121no—
526D12—121no—
527D12—122no—
528D12—122no—
529D12—122no—
530D12—122no—
531D12—242no—
532D12—241no—
533D12—241no—
534D12—242no—
535D12—241no—
536D12—241no—
537D12#23512yescomplemented
538C4×D3—42no—
539C4×D3—81no—
540C4×D3—122no—
541C4×D3—122no—
542C4×D3—122no—
543C4×D3—122no—
544C4×D3—122no—
545C4×D3—241no—
546Dic6—22no—
547Dic6—241no—
548Dic6—241no—
549C3×C8—21no—
550C3×C8—21no—
551C3×C8—21no—
552C3×C8—21no—
553C3×C8—41no—
554C3×C8—41no—
555C3×C8—61no—
556C3×C8—61no—
557C3⋊C8—21no—
558C3⋊C8—21no—
559C2×C32#54811yescharacteristic
560C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
561C2×C32#57611yescharacteristic
562C3⋊D3—81no—
563C3⋊D3—81no—
564C3×D3—42no—
565C3×D3—81no—
566#41—364no—
567C2×Q8—31no—
568C2×Q8—181no—
569C2×D4—31no—
570C2×D4—31no—
571C2×D4—91no—
572C2×D4—91no—
573C2×D4—181no—
574C2×D4—181no—
575C2×D4—181no—
576C2×D4—181no—
577C2×D4—181no—
578C2×D4—181no—
579C22×C4—61no—
580C22×C4—61no—
581C22×C4—181no—
582C22×C4—181no—
583C22×C4—181no—
584C22×C4—181no—
585D8—62no—
586D8—182no—
587D8—182no—
588C2×C8—31no—
589C2×C8—31no—
590C2×C8C2×D3211yescharacteristic
591C2×C8C2×D3211yescharacteristic
592C4⋊C4—31no—
593C4⋊C4—31no—
594C4⋊C4—31no—
595C4⋊C4—31no—
596C4⋊C4—31no—
597C4⋊C4—91no—
598C4⋊C4—91no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4—181no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C22⋊C4—61no—
605C22⋊C4—61no—
606C22⋊C4—181no—
607C22⋊C4—181no—
608C22⋊C4—181no—
609C22⋊C4—181no—
610C42—31no—
611C42—31no—
612C42C2×D3211yescharacteristic
613C22×C3—21no—
614C22×C3—62no—
615C22×C3—121no—
616C22×C3—121no—
617C22×C3—121no—
618C22×C3—121no—
619C22×C3—121no—
620C22×C3C22×D1211yescharacteristic
621C22×C3C2×D3×D411yescharacteristic
622C2×D3—22no—
623C2×D3—41no—
624C2×D3—41no—
625C2×D3—41no—
626C2×D3—41no—
627C2×D3—41no—
628C2×D3—121no—
629C2×D3—121no—
630C2×D3—121no—
631C2×D3—121no—
632C2×D3—121no—
633C2×D3—121no—
634C2×D3—121no—
635C2×D3—121no—
636C2×D3—121no—
637C2×D3—121no—
638C2×D3—121no—
639C2×D3—121no—
640C2×D3—241no—
641C2×D3—241no—
642C2×D3—241no—
643C2×D3—241no—
644C2×D3—241no—
645C2×D3—241no—
646C3×C4—21no—
647C3×C4—21no—
648C3×C4—21no—
649C3×C4—21no—
650C3×C4—21no—
651C3×C4—21no—
652C3×C4—32no—
653C3×C4—41no—
654C3×C4—41no—
655C3×C4—61no—
656C3×C4—61no—
657C3×C4—61no—
658C3×C4—121no—
659C3×C4—121no—
660C3×C4C2×#23511yescharacteristic
661C3×C4#100711yescharacteristic
662C3×C4D3×#4111yescharacteristic
663C3×C4#101011yescharacteristic
664Dic3—21no—
665Dic3—21no—
666Dic3—21no—
667Dic3—41no—
668Dic3—41no—
669Dic3—121no—
670Dic3—121no—
671Dic3—121no—
672Dic3—121no—
673Dic3—241no—
674Dic3—241no—
675Dic3#90812yes—
676C32#336611yescharacteristic, complemented, Sylow
677C23—61no—
678C23—61no—
679C23—181no—
680C23—181no—
681Q8—62no—
682Q8—721no—
683D4—32no—
684D4—61no—
685D4—61no—
686D4—61no—
687D4—181no—
688D4—181no—
689D4—181no—
690D4—181no—
691D4—362no—
692D4—362no—
693D4—362no—
694D4—721no—
695D4—721no—
696D4—721no—
697C2×C4—31no—
698C2×C4—31no—
699C2×C4—31no—
700C2×C4—31no—
701C2×C4—61no—
702C2×C4—61no—
703C2×C4—122no—
704C2×C4—181no—
705C2×C4—181no—
706C2×C4—241no—
707C2×C4—362no—
708C2×C4—362no—
709C2×C4—362no—
710C2×C4—721no—
711C2×C4D3×D1211yescharacteristic
712C2×C4D3×D1211yescharacteristic
713C2×C4C22×D3211yescharacteristic
714C8—21no—
715C8—21no—
716C8—61no—
717C8—61no—
718C2×C3—21no—
719C2×C3—21no—
720C2×C3—21no—
721C2×C3—122no—
722C2×C3—241no—
723C2×C3#555211yescharacteristic
724C2×C3#557611yescharacteristic
725C2×C3C2×#90811yescharacteristic
726C2×C3#575211yescharacteristic
727C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
728C2×C3#577411yescharacteristic
729D3—42no—
730D3—81no—
731D3—241no—
732D3—241no—
733D3—241no—
734D3—241no—
735D3—481no—
736D3—481no—
737C22—62no—
738C22—121no—
739C22—121no—
740C22—121no—
741C22—121no—
742C22—121no—
743C22—361no—
744C22—361no—
745C22—361no—
746C22—361no—
747C22—361no—
748C22—361no—
749C22C2×D3×D1211yescharacteristic
750C4—21no—
751C4—21no—
752C4—32no—
753C4—61no—
754C4—61no—
755C4—61no—
756C4—121no—
757C4—121no—
758C4—361no—
759C4—361no—
760C4#6429711yescharacteristic
761C4D3×#23511yescharacteristic
762C3—21no—
763C3#7985111yescharacteristic, complemented
764C3#7996911yescharacteristic, complemented
765C2—122no—
766C2—241no—
767C2—721no—
768C2—721no—
769C2#1059389911yescharacteristic
770C2D3×#90811yescharacteristic
771C2#1059471411yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#97C22
socleC22×C32C22×D4
hypercenter#97D32
hypocenterC32#3366
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ #97

Complements

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

NH ≅ G/Ntype
1. #10593929C2semidirect
2. #10593902C2semidirect
3. #10592412C2semidirect
4. C3×#4711C2semidirect
5. C3×#4701C2semidirect
6. #10590882C2semidirect
7. #10590878C2semidirect
8. #10590769C2semidirect
9. #10590759C2semidirect
10. #10590753C2semidirect
11. #10590753C2semidirect
12. #10590746C2semidirect
13. #10590745C2semidirect
14. #10590349C2semidirect
15. #10590271C2semidirect
88. #4711D3semidirect
89. #4701D3semidirect
257. C3×D12#41semidirect
537. D12#235semidirect
676. C32#3366semidirect
763. C3#79851semidirect
764. C3#79969semidirect

Maximal subgroups

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

subgroupindex
#105939292
#105939022
#105924122
C3×#47112
C3×#47012
#105908822
#105908782
#105907692
#105907592
#105907532
#105907462
#105907452
#105903492
#105902712
#799693
#798513