Finite Group Databasebeta

← #11897549

Subgroups — #11897549

Order 1152.

802 conjugacy classes of subgroups.

The subgroup lattice has 708 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5539C211yesmaximal, characteristic, complemented
2Dic6×D12C211yesmaximal, characteristic, complemented
3#10592707C211yesmaximal, characteristic, complemented
4C3×#5014C211yesmaximal, characteristic
5#10591430C211yesmaximal, characteristic
6Dic3×#213C211yesmaximal, characteristic
7#10591410C211yesmaximal, characteristic, complemented
8#10591408C211yesmaximal, characteristic, complemented
9#10590469C211yesmaximal, characteristic, complemented
10#10590465C211yesmaximal, characteristic, complemented
11#10590419C211yesmaximal, characteristic, complemented
12#10590412C211yesmaximal, characteristic, complemented
13#10590306C211yesmaximal, characteristic, complemented
14#10590270C211yesmaximal, characteristic, complemented
15#10590251C211yesmaximal, characteristic, complemented
16#83630—31nomaximal
17#79855—31nomaximal
18C2×D3×Dic6—21no—
19C32×C4×D4C2211yescharacteristic
20#64078C2211yescharacteristic
21C3×D4×Dic3C2211yescharacteristic
22C3×D4×Dic3C2211yescharacteristic
23C2×C3×#213C2211yescharacteristic
24C3×#924—21no—
25C2×C3×Dic3⋊C4—21no—
26C3×#890C2211yescharacteristic
27C3×#888C2211yescharacteristic
28C3×#878—21no—
29C3×#878—21no—
30C3×C4×D12C2211yescharacteristic
31C3×#870C2211yescharacteristic
32C3×C4×Dic6C2211yescharacteristic
33#63918C2211yescharacteristic
34#63918C2211yescharacteristic
35#63893—21no—
36#63893—21no—
37Dic3×D12C2211yescharacteristic
38Dic3×D12C2211yescharacteristic
39#63857—21no—
40#63659C2211yescharacteristic
41#63659C2211yescharacteristic
42#63635C2211yescharacteristic
43#63635C2211yescharacteristic
44C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic
45C3×#832C2211yescharacteristic
46C3×#809C2211yescharacteristic
47C3×#808C2211yescharacteristic
48C3×#803C2211yescharacteristic
49#63576C2211yescharacteristic
50#63575C2211yescharacteristic
51#63575C2211yescharacteristic
52#63574C2211yescharacteristic
53#63573C2211yescharacteristic
54#63573C2211yescharacteristic
55Dic3⋊(C3⋊C8)C2211yescharacteristic
56Dic3⋊(C3⋊C8)C2211yescharacteristic
57#63562C2211yescharacteristic
58#63562C2211yescharacteristic
59#63554C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#554—31no—
62Q8×D12—31no—
63#5539D311yescharacteristic, complemented
64D4×Dic6—31no—
65C3×#442—31no—
66#5152—31no—
67Dic3×D8—31no—
68#5084—31no—
69#5080—31no—
70#5066—31no—
71#5066—31no—
72#5064—31no—
73#5064—31no—
74#5024—31no—
75#5014—31no—
76#5014D311yescharacteristic
77C4×#213—31no—
78#5009—31no—
79#5008—31no—
80#5008—31no—
81#5008—31no—
82#5008—61no—
83#5007—31no—
84#4856—31no—
85#4855—31no—
86#4766—31no—
87#4761—31no—
88#4761—31no—
89#4759—31no—
90#4702—31no—
91#4701—31no—
92C2×C32×D4C2311yescharacteristic
93C22×C32×C4—21no—
94C2×#634—21no—
95C22×C3×Dic3—21no—
96C22×C3×Dic3—21no—
97C2×C3×D12C2311yescharacteristic
98C2×C3×C4×D3—21no—
99C2×C3×Dic6—21no—
100C2×C3×Dic6D411yescharacteristic
101C2×#627—21no—
102C2×#627—21no—
103C2×D3×Dic3—21no—
104C2×D3×Dic3—21no—
105D3×Dic6—44no—
106C32×C4⋊C4C2311yescharacteristic
107C32×C22⋊C4—21no—
108C32×C42C2311yescharacteristic
109C4⋊(C3⋊Dic3)—21no—
110C4⋊(C3⋊Dic3)C2311yescharacteristic
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112C2×C3⋊(C3⋊C8)C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C3×#217—21no—
115C3×#217—21no—
116C3×#213Q814yescomplemented
117C3×(C2×D3)⋊C4—21no—
118C3×C4⋊Dic3—21no—
119C3×C4⋊Dic3D411yescharacteristic
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(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137#3384—91noSylow
138C2×D3×Q8—61no—
139C22×Dic6—61no—
140C2×C3×D8—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×D4—31no—
152C3×C4×D4C2×D311yescharacteristic
153C3×C4×D4C2×D311yescharacteristic
154C2×C3×C4⋊C4—61no—
155D4×Dic3—31no—
156D4×Dic3—31no—
157D4×Dic3C2×D311yescharacteristic
158D4×Dic3C2×D311yescharacteristic
159C2×#213C2×D311yescharacteristic
160#924—21no—
161#924—61no—
162C2×Dic3⋊C4—21no—
163#897—61no—
164#897—61no—
165#897—61no—
166#890C2×D311yescharacteristic
167#888—31no—
168#888—31no—
169#888C2×D311yescharacteristic
170#878—21no—
171#878—21no—
172#878—61no—
173#878—61no—
174C4×D12—31no—
175C4×D12—31no—
176C4×D12C2×D311yescharacteristic
177#870C2×D311yescharacteristic
178#869—31no—
179#869—31no—
180#869—31no—
181#869—31no—
182#869—61no—
183C4×Dic6C2×D311yescharacteristic
184C3×#106—31no—
185C3×#102—31no—
186C3×#102—31no—
187C3×#97—31no—
188#832—31no—
189#832—31no—
190#832—31no—
191#832—31no—
192#832—31no—
193#832—31no—
194#832—61no—
195#832—61no—
196#832C2×D311yescharacteristic
197#818—31no—
198#818—31no—
199#817—31no—
200#817—31no—
201#815—31no—
202Dic3⋊C8—31no—
203Dic3⋊C8—31no—
204C8×Dic3—31no—
205#809—31no—
206#809—31no—
207#809C2×D311yescharacteristic
208#808—31no—
209#808—31no—
210#808—31no—
211#808—31no—
212#808—31no—
213#808—31no—
214#808—31no—
215#808—31no—
216#808—61no—
217#808—61no—
218#808C2×D311yescharacteristic
219#807—31no—
220#807—31no—
221#807—31no—
222#807—31no—
223C4⋊(C3⋊C8)—31no—
224C4⋊(C3⋊C8)—31no—
225C4⋊(C3⋊C8)—31no—
226C4⋊(C3⋊C8)—31no—
227C4⋊(C3⋊C8)—61no—
228#803—31no—
229#803C2×D311yescharacteristic
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—
241C2×C3⋊Dic3—21no—
242#634—42no—
243C2×C3×Dic3—21no—
244C2×C3×Dic3—21no—
245C2×C3×Dic3—21no—
246C2×C3×Dic3—42no—
247C2×C3×Dic3—81no—
248C2×C3×Dic3C2×D411yescharacteristic
249C2×C3×Dic3C2×D411yescharacteristic
250C2×C3×Dic3C2×D411yescharacteristic
251C2×C3×Dic3C2×D411yescharacteristic
252C3×D12—21no—
253C3×D12C2×Q812yes—
254C3×C4×D3—42no—
255C3×Dic6—22no—
256C3×Dic6—81no—
257#627—42no—
258#627—42no—
259D3×Dic3—42no—
260D3×Dic3—42no—
261C3⋊(C3⋊C8)—21no—
262C3⋊(C3⋊C8)—21no—
263C3×C3⋊C8—21no—
264C3×C3⋊C8C2×Q812yescomplemented
265#554—31no—
266D4×Q8—91no—
267#501—91no—
268#501—91no—
269#498—91no—
270#478—91no—
271#478—91no—
272#476—91no—
273#476—91no—
274#476—91no—
275#474—91no—
276#446—91no—
277#442—31no—
278#442—91no—
279C4×D8—91no—
280C2×C3×Q8—31no—
281C2×C3×Q8—61no—
282C2×C3×D4—21no—
283C2×C3×D4—31no—
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×C3×C4—61no—
292C22×Dic3—21no—
293C22×Dic3—21no—
294C22×Dic3—61no—
295C22×Dic3—61no—
296D3×Q8—124no—
297C2×D12C22×D311yescharacteristic
298C2×C4×D3—21no—
299C2×C4×D3—61no—
300C2×C4×D3—61no—
301C2×Dic6—21no—
302C2×Dic6—61no—
303C2×Dic6—61no—
304C2×Dic6—61no—
305C2×Dic6—61no—
306C2×Dic6—61no—
307C2×Dic6—61no—
308C2×Dic6—121no—
309C2×Dic6—124no—
310C2×Dic6#6711yescharacteristic
311C3×D8—34no—
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—61no—
322C3×C4⋊C4—61no—
323C3×C4⋊C4—61no—
324C3×C4⋊C4—61no—
325C3×C4⋊C4—61no—
326C3×C4⋊C4C22×D311yescharacteristic
327C3×C4⋊C4C22×D311yescharacteristic
328C3×C22⋊C4—21no—
329C3×C22⋊C4—21no—
330C3×C22⋊C4—41no—
331C3×C22⋊C4—61no—
332C3×C22⋊C4—61no—
333C3×C22⋊C4—61no—
334C3×C42—21no—
335C3×C42—31no—
336C3×C42—31no—
337C3×C42C22×D311yescharacteristic
338C3×C42C22×D311yescharacteristic
339#217—21no—
340#217—21no—
341#217—61no—
342#217—61no—
343#213Dic614yescomplemented
344(C2×D3)⋊C4—21no—
345(C2×D3)⋊C4—61no—
346(C2×D3)⋊C4—61no—
347C4⋊Dic3—21no—
348C4⋊Dic3—31no—
349C4⋊Dic3—31no—
350C4⋊Dic3—31no—
351C4⋊Dic3—31no—
352C4⋊Dic3—61no—
353C4⋊Dic3—61no—
354C4⋊Dic3—61no—
355C4⋊Dic3—61no—
356C4⋊Dic3—61no—
357C4⋊Dic3—61no—
358C4⋊Dic3—121no—
359C4⋊Dic3#6711yescharacteristic
360C4⋊Dic3C22×D311yescharacteristic
361C4⋊Dic3C22×D311yescharacteristic
362C4⋊Dic3C22×D311yescharacteristic
363Dic3⋊C4—21no—
364Dic3⋊C4—21no—
365Dic3⋊C4—21no—
366Dic3⋊C4—21no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4#6711yescharacteristic
370Dic3⋊C4#6711yescharacteristic
371C4×Dic3C22×D311yescharacteristic
372C4×Dic3C22×D311yescharacteristic
373C2×C3⋊C8—31no—
374C2×C3⋊C8—31no—
375C2×C3⋊C8—31no—
376C2×C3⋊C8—31no—
377C2×C3⋊C8—61no—
378C2×C3⋊C8—61no—
379C2×C3⋊C8C22×D311yescharacteristic
380C2×C3⋊C8C22×D311yescharacteristic
381C22×C32—22no—
382C22×C32—41no—
383C22×C32—41no—
384C22×C32C22×D411yescharacteristic
385C2×C3×D3—22no—
386C2×C3×D3—41no—
387C2×C3×D3—41no—
388C32×C4—21no—
389C32×C4—21no—
390C32×C4—41no—
391C32×C4C22×Q811yescharacteristic
392C32×C42−1+411yescharacteristic
393C3⋊Dic3—41no—
394C3⋊Dic3—41no—
395C3×Dic3—21no—
396C3×Dic3—21no—
397C3×Dic3—21no—
398C3×Dic3—41no—
399C3×Dic3—41no—
400C3×Dic3—41no—
401C3×Dic3AGL(1,ℤ/8)12yes—
402C22×Q8—181no—
403C2×D8—31no—
404C4⋊Q8—31no—
405C4⋊Q8—91no—
406C4⋊Q8—91no—
407C4⋊Q8—91no—
408#125—31no—
409#125—31no—
410C22⋊Q8—61no—
411C22⋊Q8—61no—
412C22⋊Q8—61no—
413C22⋊Q8—181no—
414C22⋊Q8—181no—
415C22⋊Q8—181no—
416C4×Q8—31no—
417C4×D4—31no—
418C4×D4—31no—
419C4×D4—31no—
420C4×D4—91no—
421C4×D4—91no—
422C4×D4D3211yescharacteristic
423C2×C4⋊C4—61no—
424#107—91no—
425#107—91no—
426#107—91no—
427#106—31no—
428#106—91no—
429#106—91no—
430#106—91no—
431#106—91no—
432#106—91no—
433C4⋊C8—91no—
434C4⋊C8—91no—
435C4⋊C8—91no—
436#102—31no—
437#102—31no—
438#102—91no—
439#102—91no—
440#102—91no—
441#102—91no—
442#97—31no—
443#97—91no—
444C4×C8—91no—
445C23×C3—21no—
446C23×C3—21no—
447C23×C3—41no—
448C23×C3—61no—
449C22×D3—21no—
450C3×Q8—62no—
451C3×Q8—241no—
452C3×D4—21no—
453C3×D4—21no—
454C3×D4—22no—
455C3×D4—32no—
456C3×D4—41no—
457C3×D4—61no—
458C3×D4C2×Dic612yescomplemented
459C3×D4D3×Q812yescomplemented
460C2×C3×C4—21no—
461C2×C3×C4—21no—
462C2×C3×C4—21no—
463C2×C3×C4—21no—
464C2×C3×C4—21no—
465C2×C3×C4—31no—
466C2×C3×C4—31no—
467C2×C3×C4—31no—
468C2×C3×C4—31no—
469C2×C3×C4—41no—
470C2×C3×C4—61no—
471C2×C3×C4—61no—
472C2×C3×C4—61no—
473C2×C3×C4—81no—
474C2×C3×C4—81no—
475C2×C3×C4—82no—
476C2×C3×C4—122no—
477C2×C3×C4—122no—
478C2×C3×C4—241no—
479C2×C3×C4D3×D411yescharacteristic
480C2×C3×C4D3×D411yescharacteristic
481C2×C3×C4C2×#6711yescharacteristic
482C2×C3×C4C2×#6711yescharacteristic
483C2×C3×C4C23×D311yescharacteristic
484C2×C3×C4C23×D311yescharacteristic
485C2×Dic3—21no—
486C2×Dic3—21no—
487C2×Dic3—21no—
488C2×Dic3—42no—
489C2×Dic3—61no—
490C2×Dic3—61no—
491C2×Dic3—61no—
492C2×Dic3—61no—
493C2×Dic3—81no—
494C2×Dic3—121no—
495C2×Dic3—121no—
496C2×Dic3—122no—
497C2×Dic3—122no—
498C2×Dic3C2×#6711yescharacteristic
499C2×Dic3C2×#6711yescharacteristic
500C2×Dic3C2×#6711yescharacteristic
501C2×Dic3C2×#6711yescharacteristic
502D12—21no—
503D12C2×Dic612yes—
504C4×D3—42no—
505C4×D3—122no—
506C4×D3—122no—
507Dic6—22no—
508Dic6—81no—
509Dic6—122no—
510Dic6—122no—
511Dic6—122no—
512Dic6—122no—
513Dic6—122no—
514Dic6—122no—
515Dic6—242no—
516C3×C8—32no—
517C3×C8—61no—
518C3⋊C8—21no—
519C3⋊C8—61no—
520C3⋊C8—61no—
521C3⋊C8—61no—
522C3⋊C8—61no—
523C3⋊C8—121no—
524C3⋊C8—121no—
525C3⋊C8C2×Dic612yescomplemented
526C2×C32—42no—
527C2×C32D4×Q811yescharacteristic
528C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
529C2×C32#57711yescharacteristic
530C3×D3—42no—
531C2×Q8—31no—
532C2×Q8—61no—
533C2×Q8—181no—
534C2×Q8—181no—
535C2×Q8—181no—
536C2×Q8—364no—
537C2×D4—31no—
538C2×D4C2×D3211yescharacteristic
539C22×C4—21no—
540C22×C4—61no—
541C22×C4—61no—
542C22×C4—61no—
543C22×C4—181no—
544C22×C4—181no—
545D8—34no—
546C2×C8—31no—
547C2×C8—31no—
548C2×C8—91no—
549C2×C8—91no—
550C4⋊C4—31no—
551C4⋊C4—31no—
552C4⋊C4—31no—
553C4⋊C4—31no—
554C4⋊C4—31no—
555C4⋊C4—31no—
556C4⋊C4—61no—
557C4⋊C4—61no—
558C4⋊C4—61no—
559C4⋊C4—61no—
560C4⋊C4—61no—
561C4⋊C4—91no—
562C4⋊C4—91no—
563C4⋊C4—181no—
564C4⋊C4—181no—
565C4⋊C4—181no—
566C4⋊C4C2×D3211yescharacteristic
567C22⋊C4—21no—
568C22⋊C4—61no—
569C22⋊C4—61no—
570C22⋊C4—61no—
571C22⋊C4—181no—
572C22⋊C4—181no—
573C42—31no—
574C42—31no—
575C42C2×D3211yescharacteristic
576C22×C3—22no—
577C22×C3—22no—
578C22×C3—21no—
579C22×C3—42no—
580C22×C3—41no—
581C22×C3—41no—
582C22×C3—41no—
583C22×C3—41no—
584C22×C3—62no—
585C22×C3—81no—
586C22×C3—81no—
587C22×C3—121no—
588C22×C3—121no—
589C22×C3C2×D3×D411yescharacteristic
590C22×C3C22×#6711yescharacteristic
591C2×D3—22no—
592C2×D3—41no—
593C2×D3—41no—
594C3×C4—22no—
595C3×C4—21no—
596C3×C4—21no—
597C3×C4—21no—
598C3×C4—21no—
599C3×C4—21no—
600C3×C4—21no—
601C3×C4—32no—
602C3×C4—41no—
603C3×C4—41no—
604C3×C4—41no—
605C3×C4—61no—
606C3×C4—61no—
607C3×C4—61no—
608C3×C4—81no—
609C3×C4—121no—
610C3×C4—121no—
611C3×C4—121no—
612C3×C4C22×Dic611yescharacteristic
613C3×C4C2×D3×Q811yescharacteristic
614C3×C4#100711yescharacteristic
615C3×C4#101011yescharacteristic
616Dic3—21no—
617Dic3—21no—
618Dic3—21no—
619Dic3—41no—
620Dic3—41no—
621Dic3—41no—
622Dic3—121no—
623Dic3—121no—
624Dic3—121no—
625Dic3—121no—
626Dic3—241no—
627Dic3—241no—
628Dic3#94912yes—
629C32#338411yescharacteristic, complemented, Sylow
630C23—21no—
631C23—61no—
632Q8—62no—
633Q8—241no—
634Q8—362no—
635Q8—362no—
636Q8—362no—
637D4—21no—
638D4—32no—
639D4—61no—
640D4D3×Dic612yescomplemented
641C2×C4—21no—
642C2×C4—31no—
643C2×C4—31no—
644C2×C4—31no—
645C2×C4—31no—
646C2×C4—61no—
647C2×C4—61no—
648C2×C4—61no—
649C2×C4—81no—
650C2×C4—122no—
651C2×C4—122no—
652C2×C4—181no—
653C2×C4—181no—
654C2×C4—241no—
655C2×C4—362no—
656C2×C4—362no—
657C2×C4D3×#6711yescharacteristic
658C2×C4D3×#6711yescharacteristic
659C2×C4C22×D3211yescharacteristic
660C8—32no—
661C8—61no—
662C8—181no—
663C8—181no—
664C2×C3—21no—
665C2×C3—21no—
666C2×C3—21no—
667C2×C3—42no—
668C2×C3—42no—
669C2×C3—82no—
670C2×C3—122no—
671C2×C3D4×Dic611yescharacteristic
672C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
673C2×C3#577511yescharacteristic
674C2×C3Q8×#6711yescharacteristic
675C2×C3C2×#94911yescharacteristic
676C2×C3#583611yescharacteristic
677D3—42no—
678C22—22no—
679C22—41no—
680C22—41no—
681C22—62no—
682C22—121no—
683C22—121no—
684C22C2×D3×#6711yescharacteristic
685C4—21no—
686C4—21no—
687C4—32no—
688C4—41no—
689C4—61no—
690C4—61no—
691C4—61no—
692C4—121no—
693C4—121no—
694C4—121no—
695C4—361no—
696C4—361no—
697C4C2×D3×Dic611yescharacteristic
698C4#6429711yescharacteristic
699C3—21no—
700C3#7985511yescharacteristic, complemented
701C3#8363011yescharacteristic, complemented
702C2—42no—
703C2—122no—
704C2Dic6×#6711yescharacteristic
705C2#1059510611yescharacteristic
706C2D3×#94911yescharacteristic
subgroupG/H
centerC22C2×D3×#67
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. C3×#5539C2semidirect
2. Dic6×D12C2semidirect
3. #10592707C2semidirect
7. #10591410C2semidirect
8. #10591408C2semidirect
9. #10590469C2semidirect
10. #10590465C2semidirect
11. #10590419C2semidirect
12. #10590412C2semidirect
13. #10590306C2semidirect
14. #10590270C2semidirect
15. #10590251C2semidirect
63. #5539D3semidirect
116. C3×#213Q8semidirect
234. C32×D4C2×Q8semidirect
264. C3×C3⋊C8C2×Q8semidirect
343. #213Dic6semidirect
458. C3×D4C2×Dic6semidirect
459. C3×D4D3×Q8semidirect
525. C3⋊C8C2×Dic6semidirect
629. C32#3384semidirect
640. D4D3×Dic6semidirect
700. C3#79855semidirect
701. C3#83630semidirect

Maximal subgroups

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

subgroupindex
C3×#55392
Dic6×D122
#105927072
C3×#50142
#105914302
Dic3×#2132
#105914102
#105914082
#105904692
#105904652
#105904192
#105904122
#105903062
#105902702
#105902512
#836303
#798553