Finite Group Databasebeta

← #11897542

Subgroups — #11897542

Order 1152.

888 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D4×#634C211yesmaximal, characteristic, complemented
2#10593941C211yesmaximal, characteristic, complemented
3C3×#5014C211yesmaximal, characteristic
4C3×#5009C211yesmaximal, characteristic, complemented
5#10591495C211yesmaximal, characteristic, complemented
6#10591479C211yesmaximal, characteristic, complemented
7#10591436C211yesmaximal, characteristic
8#10591435C211yesmaximal, characteristic
9#10590546C211yesmaximal, characteristic, complemented
10#10590472C211yesmaximal, characteristic, complemented
11#10590471C211yesmaximal, characteristic, complemented
12#10590416C211yesmaximal, characteristic, complemented
13#10590306C211yesmaximal, characteristic, complemented
14#10590268C211yesmaximal, characteristic, complemented
15#10590255C211yesmaximal, characteristic, complemented
16#81158—31nomaximal
17#79855—31nomaximal
18C22×#634—21no—
19C32×C4×D4C2211yescharacteristic
20D4×C3⋊Dic3C2211yescharacteristic
21D4×C3⋊Dic3C2211yescharacteristic
22#64133—21no—
23#64097C2211yescharacteristic
24#64097C2211yescharacteristic
25#64087—21no—
26#64087—21no—
27#64078C2211yescharacteristic
28C4×#634C2211yescharacteristic
29C2×C3×#213C2211yescharacteristic
30C3×C4×D12C2211yescharacteristic
31C3×#870C2211yescharacteristic
32#63919C2211yescharacteristic
33#63898C2211yescharacteristic
34#63898C2211yescharacteristic
35#63896—21no—
36#63893—21no—
37D3×Dic3⋊C4—21no—
38#63872C2211yescharacteristic
39#63851—21no—
40C3×#832C2211yescharacteristic
41C3×#832C2211yescharacteristic
42C3×#832C2211yescharacteristic
43C3×#809C2211yescharacteristic
44C3×#808C2211yescharacteristic
45C3×#808C2211yescharacteristic
46C3×#807C2211yescharacteristic
47C3×C4⋊(C3⋊C8)C2211yescharacteristic
48C3×#803C2211yescharacteristic
49#63575C2211yescharacteristic
50#63575C2211yescharacteristic
51#63573C2211yescharacteristic
52#63573C2211yescharacteristic
53#63573C2211yescharacteristic
54#63573C2211yescharacteristic
55#63572C2211yescharacteristic
56#63572C2211yescharacteristic
57#63563C2211yescharacteristic
58#63563C2211yescharacteristic
59#63555C2211yescharacteristic
60#63553C2211yescharacteristic
61#5690—31no—
62#5539—31no—
63D4×Dic6—31no—
64D4×Dic6—31no—
65D4×Dic6—61no—
66C3×#478—31no—
67C3×#442—31no—
68#5152—31no—
69Dic3×D8—31no—
70#5064—31no—
71#5014D311yescharacteristic
72#5009D311yescharacteristic, complemented
73#5008—31no—
74#4890—31no—
75#4876—31no—
76#4870—31no—
77#4856—31no—
78#4855—31no—
79#4855—31no—
80#4842—31no—
81#4828—31no—
82#4785—31no—
83#4766—31no—
84#4763—31no—
85#4761—31no—
86#4761—31no—
87#4761—31no—
88#4759—31no—
89#4756—31no—
90#4702—31no—
91#4701—31no—
92C2×C32×D4C2311yescharacteristic
93C22×C32×C4—21no—
94C22×C3⋊Dic3—21no—
95C22×C3⋊Dic3—21no—
96C2×#634—21no—
97C2×#634—21no—
98C2×#634—21no—
99C2×#634—44no—
100C2×#634D411yescharacteristic
101C2×C3×D12C2311yescharacteristic
102C2×C3×C4×D3—21no—
103C2×#627—21no—
104C2×D3×Dic3—21no—
105C2×D3×Dic3—21no—
106C32×C4⋊C4C2311yescharacteristic
107C32×C22⋊C4—21no—
108C32×C42C2311yescharacteristic
109#3757—21no—
110#3757—21no—
111C4⋊(C3⋊Dic3)—21no—
112C4⋊(C3⋊Dic3)D411yescharacteristic
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115#3750—21no—
116#3750—21no—
117#3750D411yescharacteristic
118#3750D411yescharacteristic
119C4×C3⋊Dic3C2311yescharacteristic
120C4×C3⋊Dic3C2311yescharacteristic
121C3×#213Q814yescomplemented
122C3×(C2×D3)⋊C4—21no—
123C3×C4⋊Dic3C2311yescharacteristic
124C3×C4⋊Dic3C2311yescharacteristic
125C3×C4⋊Dic3C2311yescharacteristic
126C3×Dic3⋊C4—21no—
127C3×Dic3⋊C4—21no—
128C2×C3×C3⋊C8C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131C2×C3×C3⋊C8C2311yescharacteristic
132#3724—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137#3384—91noSylow
138C22×Dic6—61no—
139C22×Dic6—61no—
140C22×Dic6—62no—
141C2×C3×D8—31no—
142C3×#125—31no—
143C3×C4×D4—21no—
144C3×C4×D4—31no—
145C3×C4×D4C2×D311yescharacteristic
146C3×C4×D4C2×D311yescharacteristic
147D4×Dic3—31no—
148D4×Dic3—31no—
149D4×Dic3—31no—
150D4×Dic3—31no—
151D4×Dic3—31no—
152D4×Dic3—31no—
153D4×Dic3—61no—
154D4×Dic3—61no—
155C2×#213C2×D311yescharacteristic
156#924—61no—
157#924—61no—
158#924—61no—
159#924—62no—
160C2×Dic3⋊C4—61no—
161#897—61no—
162#896—61no—
163#896—61no—
164#893—31no—
165#893—31no—
166D3×C4⋊C4—61no—
167#890—31no—
168#890—31no—
169#888—31no—
170#888—31no—
171#888—31no—
172#888—31no—
173#888—31no—
174#888—31no—
175#888—61no—
176#888—61no—
177#878—61no—
178#878—61no—
179#878—61no—
180#878—61no—
181#878—61no—
182#878—61no—
183#878—62no—
184#878—62no—
185C4×D12C2×D311yescharacteristic
186#870C2×D311yescharacteristic
187#869—31no—
188#869—31no—
189#869—61no—
190C4×Dic6—31no—
191C4×Dic6—31no—
192C4×Dic6—61no—
193C3×#107—31no—
194C3×#106—31no—
195C3×#106—31no—
196C3×C4⋊C8—31no—
197C3×#102—31no—
198C3×#102—31no—
199C3×#102—31no—
200C3×#102—31no—
201C3×#97—31no—
202#832—31no—
203#832—31no—
204#832C2×D311yescharacteristic
205#832C2×D311yescharacteristic
206#832C2×D311yescharacteristic
207#821—31no—
208#821—31no—
209#818—31no—
210#818—31no—
211#817—31no—
212#817—31no—
213#817—31no—
214#817—31no—
215#815—31no—
216#815—31no—
217Dic3⋊C8—31no—
218Dic3⋊C8—31no—
219Dic3⋊C8—31no—
220Dic3⋊C8—31no—
221C8×Dic3—31no—
222C8×Dic3—31no—
223#809C2×D311yescharacteristic
224#808—31no—
225#808—31no—
226#808—31no—
227#808—31no—
228#808C2×D311yescharacteristic
229#808C2×D311yescharacteristic
230#807—31no—
231#807—31no—
232#807C2×D311yescharacteristic
233C4⋊(C3⋊C8)C2×D311yescharacteristic
234#803C2×D311yescharacteristic
235C23×C32—21no—
236C22×C3×D3—21no—
237C32×D4—21no—
238C32×D4C2×Q812yes—
239C2×C32×C4—21no—
240C2×C32×C4—42no—
241C2×C32×C4C2×D411yescharacteristic
242C2×C32×C4C2×D411yescharacteristic
243C2×C32×C4C2411yescharacteristic
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3—42no—
247C2×C3⋊Dic3—42no—
248C2×C3⋊Dic3C2×D411yescharacteristic
249C2×C3⋊Dic3C2×D411yescharacteristic
250C2×C3⋊Dic3C2×D411yescharacteristic
251C2×C3⋊Dic3C2×D411yescharacteristic
252#634—22no—
253#634—42no—
254#634—42no—
255#634—42no—
256C2×C3×Dic3—21no—
257C2×C3×Dic3—21no—
258C2×C3×Dic3—21no—
259C3×D12—21no—
260C3×D12C2×Q812yescomplemented
261C3×C4×D3—81no—
262#627—81no—
263D3×Dic3—42no—
264D3×Dic3—81no—
265C3×C3⋊C8—21no—
266C3×C3⋊C8—21no—
267C3×C3⋊C8—21no—
268C3×C3⋊C8C2×Q812yescomplemented
269#554—91no—
270D4×Q8—91no—
271#501—91no—
272#501—91no—
273#498—91no—
274#478—31no—
275#478—91no—
276#476—91no—
277#476—91no—
278#476—91no—
279#474—91no—
280#446—91no—
281#442—31no—
282#442—91no—
283C4×D8—91no—
284C2×C3×D4—21no—
285C2×C3×D4—31no—
286C2×C3×D4C22×D311yescharacteristic
287C2×C3×D4C22×D311yescharacteristic
288C22×C3×C4—22no—
289C22×C3×C4—21no—
290C22×C3×C4—21no—
291C22×C3×C4—61no—
292C22×Dic3—61no—
293C22×Dic3—61no—
294C22×Dic3—61no—
295C22×Dic3—61no—
296C22×Dic3—61no—
297C22×Dic3—61no—
298C22×Dic3—62no—
299C22×Dic3—62no—
300C2×D12C22×D311yescharacteristic
301C2×C4×D3—21no—
302C2×C4×D3—61no—
303C2×C4×D3—61no—
304C2×Dic6—31no—
305C2×Dic6—31no—
306C2×Dic6—61no—
307C2×Dic6—61no—
308C2×Dic6—61no—
309C2×Dic6—61no—
310C2×Dic6—61no—
311C2×Dic6—62no—
312C2×Dic6—62no—
313C2×Dic6—62no—
314C2×Dic6—61no—
315C2×Dic6—61no—
316C2×Dic6—61no—
317C2×Dic6—61no—
318C2×Dic6—124no—
319C2×Dic6—124no—
320C2×Dic6—128no—
321C3×D8—34no—
322C2×C3×C8—31no—
323C2×C3×C8—31no—
324C2×C3×C8—31no—
325C2×C3×C8—31no—
326C3×C4⋊C4—21no—
327C3×C4⋊C4—31no—
328C3×C4⋊C4—31no—
329C3×C4⋊C4—31no—
330C3×C4⋊C4—61no—
331C3×C4⋊C4—61no—
332C3×C4⋊C4C22×D311yescharacteristic
333C3×C4⋊C4C22×D311yescharacteristic
334C3×C22⋊C4—22no—
335C3×C22⋊C4—21no—
336C3×C22⋊C4—21no—
337C3×C22⋊C4—61no—
338C3×C42—21no—
339C3×C42C22×D311yescharacteristic
340C3×C42C22×D311yescharacteristic
341#217—61no—
342#217—61no—
343#217—61no—
344#217—61no—
345#217—61no—
346#217—61no—
347#217—62no—
348#217—62no—
349#213Dic614yescomplemented
350(C2×D3)⋊C4—21no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4—61no—
353C4⋊Dic3—31no—
354C4⋊Dic3—31no—
355C4⋊Dic3—31no—
356C4⋊Dic3—31no—
357C4⋊Dic3—31no—
358C4⋊Dic3—31no—
359C4⋊Dic3—61no—
360C4⋊Dic3—61no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—62no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3C22×D311yescharacteristic
368C4⋊Dic3C22×D311yescharacteristic
369C4⋊Dic3C22×D311yescharacteristic
370Dic3⋊C4—21no—
371Dic3⋊C4—21no—
372Dic3⋊C4—31no—
373Dic3⋊C4—31no—
374Dic3⋊C4—31no—
375Dic3⋊C4—31no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—61no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—61no—
385Dic3⋊C4—61no—
386Dic3⋊C4—62no—
387Dic3⋊C4—62no—
388C4×Dic3—31no—
389C4×Dic3—31no—
390C4×Dic3—31no—
391C4×Dic3—31no—
392C4×Dic3—61no—
393C4×Dic3—61no—
394C2×C3⋊C8C22×D311yescharacteristic
395C2×C3⋊C8C22×D311yescharacteristic
396C2×C3⋊C8C22×D311yescharacteristic
397C2×C3⋊C8C22×D311yescharacteristic
398C22×C32—22no—
399C22×C32—41no—
400C22×C32—41no—
401C22×C32C22×D411yescharacteristic
402C2×C3×D3—22no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C32×C4—21no—
406C32×C4—21no—
407C32×C4—41no—
408C32×C4C22×Q811yescharacteristic
409C32×C42−1+411yescharacteristic
410C3⋊Dic3—21no—
411C3⋊Dic3—21no—
412C3⋊Dic3—21no—
413C3⋊Dic3—41no—
414C3⋊Dic3—41no—
415C3⋊Dic3AGL(1,ℤ/8)12yes—
416C3×Dic3—41no—
417C3×Dic3—41no—
418C3×Dic3—41no—
419C22×Q8—181no—
420C2×D8—31no—
421C4⋊Q8—91no—
422C4⋊Q8—91no—
423C4⋊Q8—91no—
424C4⋊Q8—91no—
425#125—31no—
426#125—91no—
427C22⋊Q8—181no—
428C22⋊Q8—181no—
429C22⋊Q8—181no—
430C22⋊Q8—181no—
431C22⋊Q8—181no—
432C22⋊Q8—181no—
433C4×Q8—91no—
434C4×D4—31no—
435C4×D4—91no—
436C4×D4—91no—
437C4×D4—91no—
438C4×D4—91no—
439C4×D4D3211yescharacteristic
440C2×C4⋊C4—181no—
441#107—31no—
442#107—91no—
443#107—91no—
444#106—31no—
445#106—31no—
446#106—91no—
447#106—91no—
448#106—91no—
449#106—91no—
450C4⋊C8—31no—
451C4⋊C8—91no—
452C4⋊C8—91no—
453#102—31no—
454#102—31no—
455#102—31no—
456#102—31no—
457#102—91no—
458#102—91no—
459#97—31no—
460#97—91no—
461C4×C8—91no—
462C23×C3—22no—
463C23×C3—21no—
464C23×C3—21no—
465C23×C3—61no—
466C22×D3—21no—
467C3×D4—22no—
468C3×D4—21no—
469C3×D4—21no—
470C3×D4—22no—
471C3×D4—32no—
472C3×D4—61no—
473C3×D4C2×Dic612yes—
474C3×D4D3×Q812yes—
475C2×C3×C4—22no—
476C2×C3×C4—21no—
477C2×C3×C4—21no—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—21no—
481C2×C3×C4—44no—
482C2×C3×C4—42no—
483C2×C3×C4—42no—
484C2×C3×C4—61no—
485C2×C3×C4—61no—
486C2×C3×C4—61no—
487C2×C3×C4—241no—
488C2×C3×C4D3×D411yescharacteristic
489C2×C3×C4D3×D411yescharacteristic
490C2×C3×C4D3×D411yescharacteristic
491C2×C3×C4D3×D411yescharacteristic
492C2×C3×C4C23×D311yescharacteristic
493C2×C3×C4C23×D311yescharacteristic
494C2×Dic3—21no—
495C2×Dic3—21no—
496C2×Dic3—21no—
497C2×Dic3—31no—
498C2×Dic3—31no—
499C2×Dic3—31no—
500C2×Dic3—31no—
501C2×Dic3—31no—
502C2×Dic3—31no—
503C2×Dic3—31no—
504C2×Dic3—31no—
505C2×Dic3—61no—
506C2×Dic3—61no—
507C2×Dic3—61no—
508C2×Dic3—61no—
509C2×Dic3—62no—
510C2×Dic3—62no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—122no—
516C2×Dic3—122no—
517C2×Dic3—122no—
518C2×Dic3—124no—
519C2×Dic3—124no—
520C2×Dic3—122no—
521C2×Dic3—122no—
522C2×Dic3—241no—
523D12—21no—
524D12C2×Dic612yescomplemented
525C4×D3—81no—
526C4×D3—122no—
527C4×D3—241no—
528Dic6—62no—
529Dic6—62no—
530Dic6—64no—
531Dic6—122no—
532Dic6—122no—
533Dic6—124no—
534Dic6—124no—
535Dic6—122no—
536Dic6—122no—
537Dic6—124no—
538Dic6—122no—
539Dic6—122no—
540Dic6—241no—
541Dic6—241no—
542C3×C8—32no—
543C3×C8—61no—
544C3×C8—61no—
545C3×C8—61no—
546C3⋊C8—21no—
547C3⋊C8—21no—
548C3⋊C8—21no—
549C3⋊C8C2×Dic612yescomplemented
550C2×C32—42no—
551C2×C32D4×Q811yescharacteristic
552C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
553C2×C32#57711yescharacteristic
554C3×D3—42no—
555C2×Q8—91no—
556C2×Q8—181no—
557C2×Q8—181no—
558C2×Q8—181no—
559C2×Q8—181no—
560C2×Q8—364no—
561C2×D4—31no—
562C2×D4C2×D3211yescharacteristic
563C22×C4—21no—
564C22×C4—61no—
565C22×C4—181no—
566C22×C4—181no—
567C22×C4—181no—
568C22×C4—181no—
569D8—34no—
570C2×C8—31no—
571C2×C8—31no—
572C2×C8—31no—
573C2×C8—31no—
574C4⋊C4—31no—
575C4⋊C4—31no—
576C4⋊C4—31no—
577C4⋊C4—61no—
578C4⋊C4—61no—
579C4⋊C4—91no—
580C4⋊C4—91no—
581C4⋊C4—91no—
582C4⋊C4—91no—
583C4⋊C4—91no—
584C4⋊C4—181no—
585C4⋊C4—181no—
586C4⋊C4—181no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C4⋊C4C2×D3211yescharacteristic
591C22⋊C4—21no—
592C22⋊C4—61no—
593C22⋊C4—181no—
594C22⋊C4—181no—
595C22⋊C4—181no—
596C22⋊C4—181no—
597C42—91no—
598C42—91no—
599C42C2×D3211yescharacteristic
600C22×C3—24no—
601C22×C3—22no—
602C22×C3—22no—
603C22×C3—21no—
604C22×C3—42no—
605C22×C3—42no—
606C22×C3—41no—
607C22×C3—41no—
608C22×C3—41no—
609C22×C3—41no—
610C22×C3—62no—
611C22×C3—121no—
612C22×C3—121no—
613C22×C3C2×D3×D411yescharacteristic
614C22×C3C2×D3×D411yescharacteristic
615C2×D3—22no—
616C2×D3—41no—
617C2×D3—41no—
618C3×C4—22no—
619C3×C4—21no—
620C3×C4—21no—
621C3×C4—21no—
622C3×C4—21no—
623C3×C4—21no—
624C3×C4—21no—
625C3×C4—41no—
626C3×C4—42no—
627C3×C4—41no—
628C3×C4—41no—
629C3×C4—121no—
630C3×C4—121no—
631C3×C4—121no—
632C3×C4C22×Dic611yescharacteristic
633C3×C4C2×D3×Q811yescharacteristic
634C3×C4#101011yescharacteristic
635C3×C4#101011yescharacteristic
636Dic3—32no—
637Dic3—32no—
638Dic3—41no—
639Dic3—41no—
640Dic3—41no—
641Dic3—62no—
642Dic3—62no—
643Dic3—61no—
644Dic3—61no—
645Dic3—61no—
646Dic3—61no—
647Dic3—61no—
648Dic3—61no—
649Dic3—121no—
650Dic3—121no—
651Dic3—122no—
652Dic3—122no—
653Dic3—121no—
654Dic3—121no—
655Dic3—121no—
656Dic3—121no—
657C32#338411yescharacteristic, complemented, Sylow
658C23—21no—
659C23—61no—
660Q8—182no—
661Q8—362no—
662Q8—362no—
663Q8—362no—
664Q8—721no—
665D4—21no—
666D4—32no—
667D4—61no—
668D4D3×Dic612yes—
669C2×C4—21no—
670C2×C4—42no—
671C2×C4—61no—
672C2×C4—61no—
673C2×C4—61no—
674C2×C4—91no—
675C2×C4—91no—
676C2×C4—91no—
677C2×C4—91no—
678C2×C4—181no—
679C2×C4—181no—
680C2×C4—241no—
681C2×C4—362no—
682C2×C4—362no—
683C2×C4—362no—
684C2×C4—721no—
685C2×C4#381111yescharacteristic
686C2×C4#381111yescharacteristic
687C2×C4C22×D3211yescharacteristic
688C8—32no—
689C8—61no—
690C8—61no—
691C8—61no—
692C2×C3—21no—
693C2×C3—21no—
694C2×C3—21no—
695C2×C3—44no—
696C2×C3—42no—
697C2×C3—42no—
698C2×C3—122no—
699C2×C3D4×Dic611yescharacteristic
700C2×C3#563211yescharacteristic
701C2×C3#577011yescharacteristic
702C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
703C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
704C2×C3#577511yescharacteristic
705D3—42no—
706C22—22no—
707C22—41no—
708C22—41no—
709C22—62no—
710C22—121no—
711C22—121no—
712C22C2×#381111yescharacteristic
713C4—21no—
714C4—21no—
715C4—41no—
716C4—92no—
717C4—121no—
718C4—121no—
719C4—121no—
720C4—181no—
721C4—181no—
722C4—181no—
723C4—361no—
724C4—361no—
725C4C2×D3×Dic611yescharacteristic
726C4#6429811yescharacteristic
727C3—21no—
728C3#7985511yescharacteristic, complemented
729C3#8115811yescharacteristic, complemented
730C2—42no—
731C2—122no—
732C2#1059491511yescharacteristic
733C2#1059510011yescharacteristic
734C2#1059546211yescharacteristic
subgroupG/H
centerC22C2×#3811
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×D4C22
socleC22×C32C22×D4
prime radicalC2×C3×#213C22
hypercenterC4×D4D32
hypocenterC32#3384
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4×D4

Complements

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

NH ≅ G/Ntype
1. D4×#634C2semidirect
2. #10593941C2semidirect
4. C3×#5009C2semidirect
5. #10591495C2semidirect
6. #10591479C2semidirect
9. #10590546C2semidirect
10. #10590472C2semidirect
11. #10590471C2semidirect
12. #10590416C2semidirect
13. #10590306C2semidirect
14. #10590268C2semidirect
15. #10590255C2semidirect
72. #5009D3semidirect
121. C3×#213Q8semidirect
260. C3×D12C2×Q8semidirect
268. C3×C3⋊C8C2×Q8semidirect
349. #213Dic6semidirect
524. D12C2×Dic6semidirect
549. C3⋊C8C2×Dic6semidirect
657. C32#3384semidirect
728. C3#79855semidirect
729. C3#81158semidirect

Maximal subgroups

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

subgroupindex
D4×#6342
#105939412
C3×#50142
C3×#50092
#105914952
#105914792
#105914362
#105914352
#105905462
#105904722
#105904712
#105904162
#105903062
#105902682
#105902552
#811583
#798553