Finite Group Databasebeta

← #11897551

Subgroups — #11897551

Order 1152.

814 conjugacy classes of subgroups.

The subgroup lattice has 714 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5539C211yesmaximal, characteristic, complemented
2#10593903C211yesmaximal, characteristic, complemented
3#10592713C211yesmaximal, characteristic
4C3×#5008C211yesmaximal, characteristic, complemented
5#10591410C211yesmaximal, characteristic, complemented
6#10591408C211yesmaximal, characteristic, complemented
7#10591404C211yesmaximal, characteristic
8#10591400C211yesmaximal, characteristic
9#10590470C211yesmaximal, characteristic, complemented
10#10590466C211yesmaximal, characteristic, complemented
11#10590419C211yesmaximal, characteristic, complemented
12#10590412C211yesmaximal, characteristic, complemented
13#10590315C211yesmaximal, characteristic, complemented
14#10590308C211yesmaximal, characteristic, complemented
15#10590252C211yesmaximal, characteristic, complemented
16#83630—31nomaximal
17#81055—31nomaximal
18C2×#3797—21no—
19C32×C4×D4C2211yescharacteristic
20C2×#3753C2211yescharacteristic
21C4×C4⋊(C3⋊D3)C2211yescharacteristic
22C3×D4×Dic3C2211yescharacteristic
23C3×D4×Dic3C2211yescharacteristic
24C3×#924—21no—
25C2×C3×Dic3⋊C4—21no—
26C3×#890C2211yescharacteristic
27C3×#888C2211yescharacteristic
28C3×#878—21no—
29C3×#878—21no—
30C3×#870C2211yescharacteristic
31C3×#869C2211yescharacteristic
32C3×C4×Dic6C2211yescharacteristic
33#63918C2211yescharacteristic
34#63918C2211yescharacteristic
35#63895—21no—
36#63895—21no—
37#63894C2211yescharacteristic
38#63894C2211yescharacteristic
39#63871—21no—
40#63659C2211yescharacteristic
41#63636C2211yescharacteristic
42#63635C2211yescharacteristic
43#63630C2211yescharacteristic
44C3×#832C2211yescharacteristic
45C3×#832C2211yescharacteristic
46C3×#808C2211yescharacteristic
47C3×#808C2211yescharacteristic
48C3×C4⋊(C3⋊C8)C2211yescharacteristic
49#63576C2211yescharacteristic
50#63576C2211yescharacteristic
51#63575C2211yescharacteristic
52#63574C2211yescharacteristic
53#63574C2211yescharacteristic
54#63573C2211yescharacteristic
55Dic3⋊(C3⋊C8)C2211yescharacteristic
56Dic3⋊(C3⋊C8)C2211yescharacteristic
57#63564C2211yescharacteristic
58#63564C2211yescharacteristic
59#63554C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#554—31no—
62#5727—31no—
63Q8×D12—31no—
64#5539D311yescharacteristic, complemented
65C3×#476—31no—
66#5084—31no—
67#5081—31no—
68#5080—31no—
69#5066—31no—
70#5066—31no—
71#5064—31no—
72#5064—31no—
73#5024—31no—
74#5014—31no—
75#5014—31no—
76#5014—31no—
77#5014—61no—
78C4×#213—31no—
79#5008—31no—
80#5008D311yescharacteristic, complemented
81#5007—31no—
82#4871—31no—
83#4870—31no—
84#4856—31no—
85#4855—31no—
86#4847—31no—
87#4828—31no—
88#4785—31no—
89#4761—31no—
90#4759—31no—
91#4756—31no—
92C2×C32×D4C2311yescharacteristic
93C22×C32×C4—21no—
94C2×C4⋊(C3⋊D3)C2311yescharacteristic
95C2×C4×C3⋊D3—21no—
96C22×C3×Dic3—21no—
97C22×C3×Dic3—21no—
98C2×C3×Dic6—21no—
99C2×C3×Dic6—21no—
100C2×C3×Dic6D411yescharacteristic
101C2×#627—21no—
102C2×#627—21no—
103C2×#624—21no—
104C2×#624—21no—
105#3797—44no—
106C32×C4⋊C4C2311yescharacteristic
107C32×C22⋊C4—21no—
108C32×C42C2311yescharacteristic
109#3753Q814yescomplemented
110#3752—21no—
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112C2×C3⋊(C3⋊C8)C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C3×#217—21no—
115C3×#217—21no—
116C3×C4⋊Dic3—21no—
117C3×C4⋊Dic3—21no—
118C3×C4⋊Dic3D411yescharacteristic
119C3×C4⋊Dic3C2311yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×Dic3⋊C4—21no—
126C3×Dic3⋊C4—21no—
127C3×Dic3⋊C4D411yescharacteristic
128C3×Dic3⋊C4D411yescharacteristic
129C3×C4×Dic3C2311yescharacteristic
130C3×C4×Dic3C2311yescharacteristic
131C2×C3×C3⋊C8C2311yescharacteristic
132C2×C3×C3⋊C8C2311yescharacteristic
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135#3722—21no—
136#3722—21no—
137#3384—91noSylow
138C2×D3×Q8—61no—
139C2×D3×Q8—61no—
140C3×C4⋊Q8—31no—
141C3×C4⋊Q8—31no—
142C3×#125—31no—
143C3×#125—31no—
144C3×C22⋊Q8—61no—
145C3×C22⋊Q8—61no—
146C3×C22⋊Q8—61no—
147C3×C4×Q8—31no—
148C3×C4×D4—21no—
149C3×C4×D4—31no—
150C3×C4×D4—31no—
151C3×C4×D4C2×D311yescharacteristic
152C3×C4×D4C2×D311yescharacteristic
153C2×C3×C4⋊C4—61no—
154#946—61no—
155D4×Dic3C2×D311yescharacteristic
156D4×Dic3C2×D311yescharacteristic
157C2×#213—31no—
158C2×#213—31no—
159C2×#213—61no—
160#924—21no—
161C2×Dic3⋊C4—21no—
162#897—61no—
163#897—61no—
164#897—61no—
165#896—61no—
166#896—61no—
167#893—31no—
168#893—31no—
169#890C2×D311yescharacteristic
170#888—31no—
171#888—31no—
172#888C2×D311yescharacteristic
173#878—21no—
174#878—21no—
175C4×D12—31no—
176C4×D12—31no—
177C4×D12—31no—
178C4×D12—31no—
179C4×D12—61no—
180#870C2×D311yescharacteristic
181#869—31no—
182#869—31no—
183#869C2×D311yescharacteristic
184C4×Dic6C2×D311yescharacteristic
185C3×#106—31no—
186C3×#106—31no—
187C3×C4⋊C8—31no—
188C3×#102—31no—
189C3×#102—31no—
190#832—31no—
191#832—31no—
192#832—61no—
193#832C2×D311yescharacteristic
194#832C2×D311yescharacteristic
195#821—31no—
196#821—31no—
197#818—31no—
198#817—31no—
199#815—31no—
200Dic3⋊C8—31no—
201Dic3⋊C8—31no—
202C8×Dic3—31no—
203#809—31no—
204#809—31no—
205#809—31no—
206#809—31no—
207#809—61no—
208#808—31no—
209#808—31no—
210#808—31no—
211#808—31no—
212#808—31no—
213#808—31no—
214#808—31no—
215#808—61no—
216#808C2×D311yescharacteristic
217#808C2×D311yescharacteristic
218#807—31no—
219#807—31no—
220#807—31no—
221#807—31no—
222#807—31no—
223C4⋊(C3⋊C8)—31no—
224C4⋊(C3⋊C8)—31no—
225C4⋊(C3⋊C8)C2×D311yescharacteristic
226#803—31no—
227#803—31no—
228#803—31no—
229#803—61no—
230C4×C3⋊C8—31no—
231C23×C32—21no—
232C22×C3⋊D3—21no—
233C32×D4—21no—
234C32×D4C2×Q812yescomplemented
235C2×C32×C4—21no—
236C2×C32×C4—81no—
237C2×C32×C4C2×D411yescharacteristic
238C2×C32×C4C2×D411yescharacteristic
239C2×C32×C4C2411yescharacteristic
240C2×C3⋊Dic3—21no—
241C4⋊(C3⋊D3)—21no—
242C4⋊(C3⋊D3)C2×Q812yes—
243C4×C3⋊D3—42no—
244C2×C3×Dic3—21no—
245C2×C3×Dic3—21no—
246C2×C3×Dic3—21no—
247C2×C3×Dic3—21no—
248C2×C3×Dic3—42no—
249C2×C3×Dic3—81no—
250C2×C3×Dic3C2×D411yescharacteristic
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C2×C3×Dic3C2×D411yescharacteristic
254C3×Dic6—22no—
255C3×Dic6—42no—
256C3×Dic6—81no—
257#627—42no—
258#627—42no—
259#624—42no—
260#624—42no—
261C3⋊(C3⋊C8)—21no—
262C3⋊(C3⋊C8)C2×Q812yescomplemented
263C3×C3⋊C8—21no—
264C3×C3⋊C8—21no—
265#554—31no—
266D4×Q8—91no—
267#501—91no—
268#501—91no—
269#498—91no—
270#478—91no—
271#478—91no—
272#476—31no—
273#476—91no—
274#476—91no—
275#474—91no—
276#446—91no—
277#442—91no—
278#442—91no—
279C4×D8—91no—
280C2×C3×Q8—31no—
281C2×C3×Q8—61no—
282C2×C3×Q8—61no—
283C2×C3×D4—21no—
284C2×C3×D4C22×D311yescharacteristic
285C2×C3×D4C22×D311yescharacteristic
286C22×C3×C4—21no—
287C22×C3×C4—21no—
288C22×C3×C4—41no—
289C22×C3×C4—61no—
290C22×C3×C4—61no—
291C22×Dic3—21no—
292C22×Dic3—21no—
293D3×Q8—124no—
294D3×Q8—124no—
295C2×D12—31no—
296C2×D12—31no—
297C2×D12—61no—
298C2×C4×D3—61no—
299C2×C4×D3—61no—
300C2×C4×D3—61no—
301C2×C4×D3—61no—
302C2×C4×D3—61no—
303C2×C4×D3—61no—
304C2×C4×D3—121no—
305C2×Dic6—21no—
306C2×Dic6—21no—
307C2×Dic6—61no—
308C2×Dic6—61no—
309C2×Dic6—61no—
310C2×Dic6—61no—
311C2×Dic6#6711yescharacteristic
312C2×C3×C8—31no—
313C2×C3×C8—31no—
314C3×C4⋊C4—21no—
315C3×C4⋊C4—31no—
316C3×C4⋊C4—31no—
317C3×C4⋊C4—31no—
318C3×C4⋊C4—31no—
319C3×C4⋊C4—31no—
320C3×C4⋊C4—31no—
321C3×C4⋊C4—31no—
322C3×C4⋊C4—61no—
323C3×C4⋊C4—61no—
324C3×C4⋊C4—61no—
325C3×C4⋊C4—61no—
326C3×C4⋊C4—61no—
327C3×C4⋊C4—61no—
328C3×C4⋊C4C22×D311yescharacteristic
329C3×C4⋊C4C22×D311yescharacteristic
330C3×C22⋊C4—21no—
331C3×C22⋊C4—21no—
332C3×C22⋊C4—41no—
333C3×C22⋊C4—61no—
334C3×C22⋊C4—61no—
335C3×C42—21no—
336C3×C42—31no—
337C3×C42—31no—
338C3×C42C22×D311yescharacteristic
339C3×C42C22×D311yescharacteristic
340#217—21no—
341#217—21no—
342#213—34no—
343#213—34no—
344#213—64no—
345(C2×D3)⋊C4—61no—
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—121no—
352C4⋊Dic3—21no—
353C4⋊Dic3—21no—
354C4⋊Dic3—31no—
355C4⋊Dic3—31no—
356C4⋊Dic3—61no—
357C4⋊Dic3—61no—
358C4⋊Dic3—61no—
359C4⋊Dic3#6711yescharacteristic
360C4⋊Dic3C22×D311yescharacteristic
361C4⋊Dic3C22×D311yescharacteristic
362C4⋊Dic3C22×D311yescharacteristic
363C4⋊Dic3C22×D311yescharacteristic
364Dic3⋊C4—21no—
365Dic3⋊C4—21no—
366Dic3⋊C4—21no—
367Dic3⋊C4—21no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4#6711yescharacteristic
371Dic3⋊C4#6711yescharacteristic
372C4×Dic3C22×D311yescharacteristic
373C4×Dic3C22×D311yescharacteristic
374C2×C3⋊C8—31no—
375C2×C3⋊C8—31no—
376C2×C3⋊C8—31no—
377C2×C3⋊C8—31no—
378C2×C3⋊C8—61no—
379C2×C3⋊C8—61no—
380C2×C3⋊C8C22×D311yescharacteristic
381C2×C3⋊C8C22×D311yescharacteristic
382C22×C32—22no—
383C22×C32—41no—
384C22×C32—41no—
385C22×C32C22×D411yescharacteristic
386C2×C3⋊D3—22no—
387C2×C3⋊D3—41no—
388C2×C3⋊D3—41no—
389C32×C4—21no—
390C32×C4—21no—
391C32×C4—41no—
392C32×C4C22×Q811yescharacteristic
393C32×C42−1+411yescharacteristic
394C3⋊Dic3—41no—
395C3×Dic3—21no—
396C3×Dic3—21no—
397C3×Dic3—21no—
398C3×Dic3—41no—
399C3×Dic3—41no—
400C3×Dic3—41no—
401C3×Dic3—41no—
402C3×Dic3AGL(1,ℤ/8)12yes—
403C22×Q8—181no—
404C2×D8—91no—
405C4⋊Q8—31no—
406C4⋊Q8—31no—
407C4⋊Q8—91no—
408C4⋊Q8—91no—
409#125—31no—
410#125—31no—
411C22⋊Q8—61no—
412C22⋊Q8—61no—
413C22⋊Q8—61no—
414C22⋊Q8—181no—
415C22⋊Q8—181no—
416C22⋊Q8—181no—
417C4×Q8—31no—
418C4×D4—31no—
419C4×D4—31no—
420C4×D4—91no—
421C4×D4—91no—
422C4×D4—91no—
423C4×D4D3211yescharacteristic
424C2×C4⋊C4—61no—
425#107—91no—
426#107—91no—
427#107—91no—
428#106—31no—
429#106—31no—
430#106—91no—
431#106—91no—
432#106—91no—
433#106—91no—
434C4⋊C8—31no—
435C4⋊C8—91no—
436C4⋊C8—91no—
437#102—31no—
438#102—31no—
439#102—91no—
440#102—91no—
441#102—91no—
442#102—91no—
443#97—91no—
444#97—91no—
445C4×C8—91no—
446C23×C3—21no—
447C23×C3—21no—
448C23×C3—41no—
449C22×D3—61no—
450C22×D3—61no—
451C22×D3—121no—
452C3×Q8—62no—
453C3×Q8—122no—
454C3×Q8—241no—
455C3×D4—21no—
456C3×D4—21no—
457C3×D4—22no—
458C3×D4—41no—
459C3×D4D3×Q812yescomplemented
460C3×D4D3×Q812yescomplemented
461C2×C3×C4—21no—
462C2×C3×C4—21no—
463C2×C3×C4—21no—
464C2×C3×C4—21no—
465C2×C3×C4—21no—
466C2×C3×C4—31no—
467C2×C3×C4—31no—
468C2×C3×C4—31no—
469C2×C3×C4—31no—
470C2×C3×C4—41no—
471C2×C3×C4—61no—
472C2×C3×C4—61no—
473C2×C3×C4—61no—
474C2×C3×C4—61no—
475C2×C3×C4—81no—
476C2×C3×C4—81no—
477C2×C3×C4—82no—
478C2×C3×C4—122no—
479C2×C3×C4—241no—
480C2×C3×C4D3×D411yescharacteristic
481C2×C3×C4D3×D411yescharacteristic
482C2×C3×C4C2×#6711yescharacteristic
483C2×C3×C4C2×#6711yescharacteristic
484C2×C3×C4C23×D311yescharacteristic
485C2×C3×C4C23×D311yescharacteristic
486C2×Dic3—21no—
487C2×Dic3—21no—
488C2×Dic3—21no—
489C2×Dic3—21no—
490C2×Dic3—42no—
491C2×Dic3—61no—
492C2×Dic3—61no—
493C2×Dic3—81no—
494C2×Dic3—121no—
495C2×Dic3C2×#6711yescharacteristic
496C2×Dic3C2×#6711yescharacteristic
497C2×Dic3C2×#6711yescharacteristic
498C2×Dic3C2×#6711yescharacteristic
499D12—32no—
500D12—32no—
501D12—62no—
502D12—61no—
503D12—61no—
504D12—121no—
505C4×D3—122no—
506C4×D3—122no—
507C4×D3—122no—
508C4×D3—122no—
509C4×D3—122no—
510C4×D3—122no—
511C4×D3—242no—
512Dic6—22no—
513Dic6—42no—
514Dic6—81no—
515Dic6—122no—
516Dic6—122no—
517Dic6—122no—
518Dic6—122no—
519C3×C8—61no—
520C3×C8—61no—
521C3⋊C8—21no—
522C3⋊C8—21no—
523C3⋊C8—32no—
524C3⋊C8—32no—
525C3⋊C8—62no—
526C3⋊C8—61no—
527C3⋊C8—61no—
528C3⋊C8—121no—
529C2×C32—42no—
530C2×C32D4×Q811yescharacteristic
531C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
532C2×C32#57711yescharacteristic
533C3⋊D3—42no—
534C2×Q8—31no—
535C2×Q8—61no—
536C2×Q8—61no—
537C2×Q8—181no—
538C2×Q8—181no—
539C2×Q8—364no—
540C2×D4—91no—
541C2×D4C2×D3211yescharacteristic
542C22×C4—21no—
543C22×C4—61no—
544C22×C4—61no—
545C22×C4—181no—
546C22×C4—181no—
547C22×C4—181no—
548D8—94no—
549C2×C8—31no—
550C2×C8—31no—
551C2×C8—91no—
552C2×C8—91no—
553C4⋊C4—31no—
554C4⋊C4—31no—
555C4⋊C4—31no—
556C4⋊C4—31no—
557C4⋊C4—31no—
558C4⋊C4—31no—
559C4⋊C4—31no—
560C4⋊C4—61no—
561C4⋊C4—61no—
562C4⋊C4—61no—
563C4⋊C4—61no—
564C4⋊C4—61no—
565C4⋊C4—61no—
566C4⋊C4—91no—
567C4⋊C4—181no—
568C4⋊C4—181no—
569C4⋊C4C2×D3211yescharacteristic
570C22⋊C4—21no—
571C22⋊C4—61no—
572C22⋊C4—61no—
573C22⋊C4—181no—
574C22⋊C4—181no—
575C22⋊C4—181no—
576C42—31no—
577C42—31no—
578C42C2×D3211yescharacteristic
579C22×C3—22no—
580C22×C3—22no—
581C22×C3—21no—
582C22×C3—42no—
583C22×C3—41no—
584C22×C3—41no—
585C22×C3—41no—
586C22×C3—41no—
587C22×C3—81no—
588C22×C3—81no—
589C22×C3C2×D3×D411yescharacteristic
590C22×C3C22×#6711yescharacteristic
591C2×D3—62no—
592C2×D3—62no—
593C2×D3—122no—
594C2×D3—121no—
595C2×D3—121no—
596C2×D3—121no—
597C2×D3—121no—
598C2×D3—241no—
599C2×D3—241no—
600C3×C4—21no—
601C3×C4—21no—
602C3×C4—21no—
603C3×C4—21no—
604C3×C4—21no—
605C3×C4—21no—
606C3×C4—32no—
607C3×C4—41no—
608C3×C4—41no—
609C3×C4—41no—
610C3×C4—41no—
611C3×C4—61no—
612C3×C4—61no—
613C3×C4—61no—
614C3×C4—81no—
615C3×C4—121no—
616C3×C4—121no—
617C3×C4—121no—
618C3×C4—121no—
619C3×C4C2×D3×Q811yescharacteristic
620C3×C4C2×D3×Q811yescharacteristic
621C3×C4#100711yescharacteristic
622C3×C4#101011yescharacteristic
623Dic3—21no—
624Dic3—21no—
625Dic3—21no—
626Dic3—41no—
627Dic3—41no—
628Dic3—41no—
629Dic3—41no—
630Dic3—121no—
631Dic3—121no—
632Dic3—241no—
633Dic3#94912yes—
634C32#338411yescharacteristic, complemented, Sylow
635C23—21no—
636C23—181no—
637Q8—62no—
638Q8—122no—
639Q8—241no—
640Q8—362no—
641Q8—362no—
642D4—21no—
643D4—92no—
644D4—181no—
645D4#379712yescomplemented
646C2×C4—21no—
647C2×C4—31no—
648C2×C4—31no—
649C2×C4—31no—
650C2×C4—31no—
651C2×C4—61no—
652C2×C4—61no—
653C2×C4—61no—
654C2×C4—61no—
655C2×C4—81no—
656C2×C4—122no—
657C2×C4—181no—
658C2×C4—241no—
659C2×C4—362no—
660C2×C4—362no—
661C2×C4—362no—
662C2×C4D3×#6711yescharacteristic
663C2×C4D3×#6711yescharacteristic
664C2×C4C22×D3211yescharacteristic
665C8—61no—
666C8—61no—
667C8—92no—
668C8—181no—
669C2×C3—21no—
670C2×C3—21no—
671C2×C3—21no—
672C2×C3—42no—
673C2×C3—42no—
674C2×C3—82no—
675C2×C3#563211yescharacteristic
676C2×C3#576211yescharacteristic
677C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
678C2×C3Q8×#6711yescharacteristic
679C2×C3C2×#94911yescharacteristic
680C2×C3#583611yescharacteristic
681D3—122no—
682D3—122no—
683D3—242no—
684C22—22no—
685C22—41no—
686C22—41no—
687C22—182no—
688C22—361no—
689C22—361no—
690C22C2×D3×#6711yescharacteristic
691C4—21no—
692C4—21no—
693C4—32no—
694C4—41no—
695C4—61no—
696C4—61no—
697C4—61no—
698C4—121no—
699C4—121no—
700C4—121no—
701C4—121no—
702C4—361no—
703C4#6429711yescharacteristic
704C4C2×#379711yescharacteristic
705C3—21no—
706C3#8105511yescharacteristic, complemented
707C3#8363011yescharacteristic, complemented
708C2—42no—
709C2—362no—
710C2#1059480311yescharacteristic
711C2#1059510511yescharacteristic
712C2D3×#94911yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×D4C22
socleC22×C32C22×D4
prime radicalC2×#3753C22
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. C3×#5539C2semidirect
2. #10593903C2semidirect
4. C3×#5008C2semidirect
5. #10591410C2semidirect
6. #10591408C2semidirect
9. #10590470C2semidirect
10. #10590466C2semidirect
11. #10590419C2semidirect
12. #10590412C2semidirect
13. #10590315C2semidirect
14. #10590308C2semidirect
15. #10590252C2semidirect
64. #5539D3semidirect
80. #5008D3semidirect
109. #3753Q8semidirect
234. C32×D4C2×Q8semidirect
262. C3⋊(C3⋊C8)C2×Q8semidirect
459. C3×D4D3×Q8semidirect
460. C3×D4D3×Q8semidirect
634. C32#3384semidirect
645. D4#3797semidirect
706. C3#81055semidirect
707. C3#83630semidirect

Maximal subgroups

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

subgroupindex
C3×#55392
#105939032
#105927132
C3×#50082
#105914102
#105914082
#105914042
#105914002
#105904702
#105904662
#105904192
#105904122
#105903152
#105903082
#105902522
#836303
#810553