Finite Group Databasebeta

← #11895748

Subgroups — #11895748

Order 1152.

858 conjugacy classes of subgroups.

The subgroup lattice has 774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10593938C211yesmaximal, characteristic, complemented
2#10593900C211yesmaximal, characteristic, complemented
3#10592410C211yesmaximal, characteristic, complemented
4C3×#4713C211yesmaximal, characteristic, complemented
5C3×#4701C211yesmaximal, characteristic, complemented
6#10590882C211yesmaximal, characteristic, complemented
7#10590878C211yesmaximal, characteristic, complemented
8#10590772C211yesmaximal, characteristic, complemented
9#10590765C211yesmaximal, characteristic, complemented
10#10590765C211yesmaximal, characteristic, complemented
11#10590757C211yesmaximal, characteristic, complemented
12#10590746C211yesmaximal, characteristic, complemented
13#10590745C211yesmaximal, characteristic, complemented
14#10590355C211yesmaximal, characteristic, complemented
15#10590308C211yesmaximal, characteristic, complemented
16#81708—31nomaximal
17#79969—31nomaximal
18C2×#3796—21no—
19C2×#3745C2211yescharacteristic
20C4×C4⋊(C3⋊D3)C2211yescharacteristic
21C4×C4⋊(C3⋊D3)C2211yescharacteristic
22C3×#874C2211yescharacteristic
23C3×#870C2211yescharacteristic
24C3×C4×Dic6C2211yescharacteristic
25#63918C2211yescharacteristic
26#63916—21no—
27#63911C2211yescharacteristic
28#63911C2211yescharacteristic
29#63895—21no—
30#63894C2211yescharacteristic
31#63894C2211yescharacteristic
32Dic3×D12C2211yescharacteristic
33Dic3×D12C2211yescharacteristic
34#63888—21no—
35#63886—21no—
36#63886—21no—
37#63883—21no—
38#63869C2211yescharacteristic
39#63865—21no—
40C2×#3714C2211yescharacteristic
41C2×#3714C2211yescharacteristic
42C32×#97C2211yescharacteristic
43#63648C2211yescharacteristic
44#63648C2211yescharacteristic
45#63644C2211yescharacteristic
46C3×#821C2211yescharacteristic
47C3×#821C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×#821C2211yescharacteristic
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#5718—31no—
62#5690—31no—
63#5579—31no—
64#5577—31no—
65C3×#490—31no—
66C3×#446—31no—
67#5072—31no—
68#5066—31no—
69#4847—31no—
70#4847—31no—
71#4843—31no—
72#4843—31no—
73#4843—31no—
74#4842—31no—
75#4786—31no—
76#4786—31no—
77#4785—31no—
78#4764—31no—
79#4763—31no—
80#4761—31no—
81#4760—31no—
82#4756—31no—
83#4713—31no—
84#4713D311yescharacteristic, complemented
85#4711—31no—
86#4711—31no—
87#4711—31no—
88#4711—61no—
89#4701D311yescharacteristic, complemented
90#4694—31no—
91C4×D24—31no—
92C2×C4⋊(C3⋊D3)C2311yescharacteristic
93C2×C4⋊(C3⋊D3)C2311yescharacteristic
94C2×C4×C3⋊D3—21no—
95C2×C4×C3⋊D3—21no—
96C2×C3×D12—21no—
97C2×C3×D12—21no—
98C2×C3×D12C2311yescharacteristic
99C2×C3×D12C2311yescharacteristic
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#3796—44no—
111C2×C32×C8C2311yescharacteristic
112C2×C32×C8C2311yescharacteristic
113C32×C42C2311yescharacteristic
114#3752—21no—
115#3752—21no—
116C4⋊(C3⋊Dic3)C2311yescharacteristic
117C4⋊(C3⋊Dic3)C2311yescharacteristic
118#3745—22no—
119C3×C4⋊Dic3D411yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4D411yescharacteristic
125C3×Dic3⋊C4D411yescharacteristic
126C3×C4×Dic3C2311yescharacteristic
127C3×C4×Dic3C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
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×#237—61no—
142C3×#127—31no—
143C3×#125—31no—
144C3×C4×Q8—31no—
145#946—61no—
146#940—31no—
147#940—31no—
148#939—61no—
149#939—61no—
150#938—61no—
151D4×Dic3—31no—
152D4×Dic3—31no—
153C2×#213—31no—
154C2×#213—31no—
155C2×D24—31no—
156C2×D24—31no—
157C2×D24—31no—
158C2×D24—31no—
159C2×D24—61no—
160#897—61no—
161#896—61no—
162#896—61no—
163#896—61no—
164#896—61no—
165#895—61no—
166#895—61no—
167#895—61no—
168#893—31no—
169#893—31no—
170D3×C4⋊C4—61no—
171D3×C4⋊C4—61no—
172#890—31no—
173#888—31no—
174#874—31no—
175#874—31no—
176#874C2×D311yescharacteristic
177C4×D12—31no—
178C4×D12—31no—
179C4×D12—31no—
180C4×D12—31no—
181C4×D12—31no—
182C4×D12—31no—
183C4×D12—31no—
184C4×D12—31no—
185C4×D12—61no—
186C4×D12—61no—
187#870—31no—
188#870C2×D311yescharacteristic
189#869—31no—
190C4×Dic6C2×D311yescharacteristic
191C3×C4⋊C8—31no—
192C3×C4⋊C8—31no—
193C3×C4⋊C8—31no—
194C3×#102—31no—
195C3×#102—31no—
196C3×#102—31no—
197C3×#102—31no—
198C3×#97—21no—
199C3×#97—31no—
200C3×#97C2×D311yescharacteristic
201C3×#97C2×D311yescharacteristic
202C3×C4×C8—31no—
203#832—31no—
204#832—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—61no—
214#821—61no—
215#821C2×D311yescharacteristic
216#821C2×D311yescharacteristic
217#821C2×D311yescharacteristic
218#821C2×D311yescharacteristic
219#818—31no—
220#817—31no—
221#817—31no—
222#817—31no—
223#817—61no—
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)#4112yescomplemented
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—21no—
258C3×D12—42no—
259C3×D12—81no—
260C3×Dic6—22no—
261#627—81no—
262#626—42no—
263#626—42no—
264#626—81no—
265#626—81no—
266#624—42no—
267#624—81no—
268D3×Dic3—42no—
269D3×Dic3—42no—
270C32×C8—21no—
271C32×C8—21no—
272C3×C3⋊C8—21no—
273C3×C3⋊C8—21no—
274#554—91no—
275#550—91no—
276#490—31no—
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—91no—
287#442—91no—
288C4×D8—91no—
289C2×C3×Q8—31no—
290C2×C3×D4—31no—
291C2×C3×D4—31no—
292C2×C3×D4—61no—
293C2×C3×D4—61no—
294C2×#67—61no—
295C2×#67—61no—
296C2×#67—61no—
297C2×#67—61no—
298C22×Dic3—61no—
299C22×Dic3—61no—
300#239—124no—
301#237—124no—
302C2×D12—21no—
303C2×D12—21no—
304C2×D12—31no—
305C2×D12—31no—
306C2×D12—31no—
307C2×D12—31no—
308C2×D12—61no—
309C2×D12—61no—
310C2×D12—61no—
311C2×D12—61no—
312C2×D12—61no—
313C2×D12—61no—
314C2×D12C22×D311yescharacteristic
315C2×D12C22×D311yescharacteristic
316C2×C4×D3—61no—
317C2×C4×D3—61no—
318C2×C4×D3—61no—
319C2×C4×D3—61no—
320C2×C4×D3—61no—
321C2×C4×D3—61no—
322C2×C4×D3—61no—
323C2×C4×D3—61no—
324C2×C4×D3—61no—
325C2×C4×D3—61no—
326C2×C4×D3—121no—
327C2×C4×D3—121no—
328C2×Dic6—61no—
329C2×Dic6—61no—
330C2×Dic6D1211yescharacteristic
331C2×C3×C8—21no—
332C2×C3×C8—21no—
333C2×C3×C8—31no—
334C2×C3×C8—31no—
335C2×C3×C8C22×D311yescharacteristic
336C2×C3×C8C22×D311yescharacteristic
337C2×C3×C8C22×D311yescharacteristic
338C2×C3×C8C22×D311yescharacteristic
339C3×C4⋊C4—31no—
340C3×C4⋊C4—31no—
341C3×C4⋊C4—31no—
342C3×C4⋊C4—31no—
343C3×C4⋊C4—31no—
344C3×C4⋊C4—61no—
345C3×C4⋊C4—61no—
346C3×C42—21no—
347C3×C42—31no—
348C3×C42—31no—
349C3×C42C22×D311yescharacteristic
350C3×C42C22×D311yescharacteristic
351#217—61no—
352#217—61no—
353#213—62no—
354#213—62no—
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—61no—
361(C2×D3)⋊C4—61no—
362(C2×D3)⋊C4—61no—
363(C2×D3)⋊C4—61no—
364(C2×D3)⋊C4—61no—
365(C2×D3)⋊C4—121no—
366(C2×D3)⋊C4—121no—
367C4⋊Dic3—31no—
368C4⋊Dic3—31no—
369C4⋊Dic3—31no—
370C4⋊Dic3—31no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3—61no—
374C4⋊Dic3—61no—
375C4⋊Dic3D1211yescharacteristic
376C4⋊Dic3C22×D311yescharacteristic
377C4⋊Dic3C22×D311yescharacteristic
378Dic3⋊C4—21no—
379Dic3⋊C4—21no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4D1211yescharacteristic
385Dic3⋊C4D1211yescharacteristic
386C4×Dic3C22×D311yescharacteristic
387C4×Dic3C22×D311yescharacteristic
388C2×C3⋊C8C22×D311yescharacteristic
389C2×C3⋊C8C22×D311yescharacteristic
390D24—62no—
391D24—62no—
392D24—64no—
393D24—62no—
394D24—62no—
395C22×C32C22×D411yescharacteristic
396C2×C3⋊D3—22no—
397C2×C3⋊D3—41no—
398C2×C3⋊D3—41no—
399C2×C3⋊D3—41no—
400C2×C3⋊D3—41no—
401C2×C3⋊D3—41no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C2×C3×D3—41no—
407C2×C3×D3—41no—
408C32×C4—21no—
409C32×C4—21no—
410C32×C4C2×#4111yescharacteristic
411C32×C42−1+411yescharacteristic
412C3⋊Dic3—41no—
413C3⋊Dic3—41no—
414C3×Dic3—21no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—41no—
418C3×Dic3—41no—
419C3×Dic3AGL(1,ℤ/8)12yes—
420C2×#41—181no—
421C2×D8—91no—
422C2×D8—91no—
423C2×D8—91no—
424C4⋊Q8—91no—
425#127—31no—
426#127—91no—
427#127—91no—
428#125—31no—
429#125—91no—
430C22⋊Q8—181no—
431C22⋊Q8—181no—
432C22⋊Q8—181no—
433#121—181no—
434#121—181no—
435#121—181no—
436C4×Q8—31no—
437C4×D4—91no—
438C4×D4—91no—
439C4×D4—91no—
440C4×D4—91no—
441C4×D4—91no—
442C4×D4—91no—
443C2×C4⋊C4—181no—
444#107—91no—
445#106—91no—
446#106—91no—
447C4⋊C8—31no—
448C4⋊C8—31no—
449C4⋊C8—31no—
450#102—31no—
451#102—31no—
452#102—31no—
453#102—31no—
454#102—91no—
455#102—91no—
456#102—91no—
457#102—91no—
458#102—91no—
459#102—91no—
460#97—31no—
461#97D3211yescharacteristic
462C4×C8—31no—
463C23×C3—61no—
464C23×C3—61no—
465C22×D3—21no—
466C22×D3—21no—
467C22×D3—61no—
468C22×D3—61no—
469C22×D3—61no—
470C22×D3—61no—
471C22×D3—121no—
472C22×D3—121no—
473C3×Q8—62no—
474C3×D4—61no—
475C3×D4—61no—
476C3×D4—61no—
477C3×D4—61no—
478C3×D4—122no—
479C3×D4—241no—
480C2×C3×C4—21no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—31no—
484C2×C3×C4—31no—
485C2×C3×C4—31no—
486C2×C3×C4—31no—
487C2×C3×C4—61no—
488C2×C3×C4—61no—
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—122no—
496#67—122no—
497#67—241no—
498#67—241no—
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×Dic3—122no—
508C2×Dic3—122no—
509C2×Dic3C2×D1211yescharacteristic
510C2×Dic3C2×D1211yescharacteristic
511C2×Dic3C2×D1211yescharacteristic
512C2×Dic3C2×D1211yescharacteristic
513D12—21no—
514D12—21no—
515D12—21no—
516D12—21no—
517D12—32no—
518D12—32no—
519D12—42no—
520D12—62no—
521D12—62no—
522D12—61no—
523D12—61no—
524D12—61no—
525D12—61no—
526D12—61no—
527D12—61no—
528D12—81no—
529D12—121no—
530D12—121no—
531D12—122no—
532D12—122no—
533D12—241no—
534D12—241no—
535C4×D3—122no—
536C4×D3—122no—
537C4×D3—122no—
538C4×D3—122no—
539C4×D3—122no—
540C4×D3—122no—
541C4×D3—242no—
542C4×D3—241no—
543C4×D3—241no—
544C4×D3—241no—
545C4×D3—241no—
546C4×D3—242no—
547Dic6—22no—
548Dic6—241no—
549Dic6—241no—
550C3×C8—22no—
551C3×C8—21no—
552C3×C8—21no—
553C3×C8—21no—
554C3×C8—21no—
555C3×C8—41no—
556C3×C8—61no—
557C3×C8—61no—
558C3⋊C8—21no—
559C3⋊C8—21no—
560C2×C32#54811yescharacteristic
561C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
562C2×C32#57611yescharacteristic
563C3⋊D3—42no—
564C3⋊D3—81no—
565C3×D3—81no—
566C3×D3—81no—
567#41—364no—
568C2×Q8—31no—
569C2×Q8—181no—
570C2×D4—31no—
571C2×D4—31no—
572C2×D4—61no—
573C2×D4—61no—
574C2×D4—91no—
575C2×D4—91no—
576C2×D4—181no—
577C2×D4—181no—
578C2×D4—181no—
579C2×D4—181no—
580C22×C4—181no—
581C22×C4—181no—
582C22×C4—181no—
583C22×C4—181no—
584C22×C4—181no—
585C22×C4—181no—
586D8—182no—
587D8—182no—
588D8—182no—
589C2×C8—31no—
590C2×C8—31no—
591C2×C8C2×D3211yescharacteristic
592C2×C8C2×D3211yescharacteristic
593C4⋊C4—31no—
594C4⋊C4—31no—
595C4⋊C4—31no—
596C4⋊C4—31no—
597C4⋊C4—31no—
598C4⋊C4—61no—
599C4⋊C4—61no—
600C4⋊C4—91no—
601C4⋊C4—91no—
602C4⋊C4—181no—
603C4⋊C4—181no—
604C4⋊C4—181no—
605C22⋊C4—181no—
606C22⋊C4—181no—
607C22⋊C4—181no—
608C22⋊C4—181no—
609C22⋊C4—181no—
610C22⋊C4—181no—
611C42—31no—
612C42—31no—
613C42C2×D3211yescharacteristic
614C22×C3—21no—
615C22×C3—121no—
616C22×C3—121no—
617C22×C3—121no—
618C22×C3—121no—
619C22×C3—121no—
620C22×C3—121no—
621C22×C3C22×D1211yescharacteristic
622C22×C3C2×D3×D411yescharacteristic
623C2×D3—41no—
624C2×D3—41no—
625C2×D3—41no—
626C2×D3—41no—
627C2×D3—41no—
628C2×D3—41no—
629C2×D3—62no—
630C2×D3—62no—
631C2×D3—122no—
632C2×D3—121no—
633C2×D3—121no—
634C2×D3—121no—
635C2×D3—121no—
636C2×D3—122no—
637C2×D3—121no—
638C2×D3—121no—
639C2×D3—121no—
640C2×D3—121no—
641C2×D3—121no—
642C2×D3—121no—
643C2×D3—241no—
644C2×D3—241no—
645C2×D3—241no—
646C2×D3—241no—
647C3×C4—21no—
648C3×C4—21no—
649C3×C4—21no—
650C3×C4—21no—
651C3×C4—21no—
652C3×C4—21no—
653C3×C4—32no—
654C3×C4—41no—
655C3×C4—41no—
656C3×C4—61no—
657C3×C4—61no—
658C3×C4—61no—
659C3×C4—121no—
660C3×C4—121no—
661C3×C4#100711yescharacteristic
662C3×C4D3×#4111yescharacteristic
663C3×C4D3×#4111yescharacteristic
664C3×C4#101011yescharacteristic
665Dic3—21no—
666Dic3—21no—
667Dic3—21no—
668Dic3—41no—
669Dic3—41no—
670Dic3—121no—
671Dic3—121no—
672Dic3—121no—
673Dic3—121no—
674Dic3—241no—
675Dic3—241no—
676Dic3#90812yes—
677C32#336611yescharacteristic, complemented, Sylow
678C23—61no—
679C23—61no—
680C23—181no—
681C23—181no—
682Q8—62no—
683Q8—721no—
684D4—61no—
685D4—61no—
686D4—61no—
687D4—61no—
688D4—92no—
689D4—122no—
690D4—181no—
691D4—181no—
692D4—181no—
693D4—241no—
694D4—362no—
695D4—362no—
696D4—721no—
697D4—721no—
698C2×C4—31no—
699C2×C4—31no—
700C2×C4—31no—
701C2×C4—31no—
702C2×C4—61no—
703C2×C4—61no—
704C2×C4—181no—
705C2×C4—181no—
706C2×C4—362no—
707C2×C4—362no—
708C2×C4—362no—
709C2×C4—362no—
710C2×C4—721no—
711C2×C4—721no—
712C2×C4D3×D1211yescharacteristic
713C2×C4D3×D1211yescharacteristic
714C2×C4C22×D3211yescharacteristic
715C8—21no—
716C8—21no—
717C8—61no—
718C8—61no—
719C2×C3—21no—
720C2×C3—21no—
721C2×C3—21no—
722C2×C3—241no—
723C2×C3—241no—
724C2×C3#557611yescharacteristic
725C2×C3#567711yescharacteristic
726C2×C3C2×#90811yescharacteristic
727C2×C3#575211yescharacteristic
728C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
729C2×C3#577411yescharacteristic
730D3—81no—
731D3—81no—
732D3—122no—
733D3—122no—
734D3—242no—
735D3—242no—
736D3—241no—
737D3—241no—
738C22—121no—
739C22—121no—
740C22—121no—
741C22—121no—
742C22—121no—
743C22—121no—
744C22—182no—
745C22—361no—
746C22—361no—
747C22—361no—
748C22—361no—
749C22—361no—
750C22C2×D3×D1211yescharacteristic
751C4—21no—
752C4—21no—
753C4—32no—
754C4—61no—
755C4—61no—
756C4—61no—
757C4—121no—
758C4—121no—
759C4—361no—
760C4—361no—
761C4#6429711yescharacteristic
762C4#6430611yescharacteristic
763C3—21no—
764C3#7996911yescharacteristic, complemented
765C3#8170811yescharacteristic, complemented
766C2—241no—
767C2—241no—
768C2—362no—
769C2—721no—
770C2#1059390111yescharacteristic
771C2D3×#90811yescharacteristic
772C2#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. #10593938C2semidirect
2. #10593900C2semidirect
3. #10592410C2semidirect
4. C3×#4713C2semidirect
5. C3×#4701C2semidirect
6. #10590882C2semidirect
7. #10590878C2semidirect
8. #10590772C2semidirect
9. #10590765C2semidirect
10. #10590765C2semidirect
11. #10590757C2semidirect
12. #10590746C2semidirect
13. #10590745C2semidirect
14. #10590355C2semidirect
15. #10590308C2semidirect
84. #4713D3semidirect
89. #4701D3semidirect
245. C4⋊(C3⋊D3)#41semidirect
677. C32#3366semidirect
764. C3#79969semidirect
765. C3#81708semidirect

Maximal subgroups

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

subgroupindex
#105939382
#105939002
#105924102
C3×#47132
C3×#47012
#105908822
#105908782
#105907722
#105907652
#105907572
#105907462
#105907452
#105903552
#105903082
#817083
#799693