Finite Group Databasebeta

← #11868609

Subgroups — #11868609

Order 1152.

821 conjugacy classes of subgroups.

The subgroup lattice has 707 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5688C211yesmaximal, characteristic, complemented
2C4×#3795C211yesmaximal, characteristic
3#10592762C211yesmaximal, characteristic, complemented
4C3×#5066C211yesmaximal, characteristic, complemented
5#10590608C211yesmaximal, characteristic
6#10590608C211yesmaximal, characteristic
7#10590572C211yesmaximal, characteristic, complemented
8#10590571C211yesmaximal, characteristic, complemented
9#10590488C211yesmaximal, characteristic, complemented
10#10590487C211yesmaximal, characteristic, complemented
11#10590465C211yesmaximal, characteristic, complemented
12#10590463C211yesmaximal, characteristic, complemented
13D3×C4⋊(C3⋊C8)C211yesmaximal, characteristic, complemented
14#10590292C211yesmaximal, characteristic, complemented
15#10590270C211yesmaximal, characteristic, complemented
16#83349—31nomaximal
17#81165—31nomaximal
18C2×#3795C2211yescharacteristic
19C32×#125C2211yescharacteristic
20C4×#634C2211yescharacteristic
21C3×#896—21no—
22C3×#896—21no—
23C3×#892C2211yescharacteristic
24C3×#892C2211yescharacteristic
25C3×#888C2211yescharacteristic
26C3×#888C2211yescharacteristic
27C3×#887—21no—
28C3×#887—21no—
29C3×C4×D12C2211yescharacteristic
30C3×C42×D3C2211yescharacteristic
31C3×#870C2211yescharacteristic
32C4×#625—21no—
33Dic3×D12C2211yescharacteristic
34#63879—21no—
35#63877—21no—
36C4×D3×Dic3—21no—
37#63844C2211yescharacteristic
38#63841C2211yescharacteristic
39C2×D3×C3⋊C8C2211yescharacteristic
40C2×D3×C3⋊C8C2211yescharacteristic
41#63637C2211yescharacteristic
42#63637C2211yescharacteristic
43#63635C2211yescharacteristic
44#63634C2211yescharacteristic
45C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic
46C3×#809C2211yescharacteristic
47C3×#809C2211yescharacteristic
48C3×#808C2211yescharacteristic
49C3×#807C2211yescharacteristic
50C3×C4⋊(C3⋊C8)C2211yescharacteristic
51#63576C2211yescharacteristic
52#63575C2211yescharacteristic
53#63574C2211yescharacteristic
54#63573C2211yescharacteristic
55Dic3⋊(C3⋊C8)C2211yescharacteristic
56Dic3⋊(C3⋊C8)C2211yescharacteristic
57#63567C2211yescharacteristic
58#63567C2211yescharacteristic
59#63562C2211yescharacteristic
60#63562C2211yescharacteristic
61C3×#533—31no—
62#5688D311yescharacteristic, complemented
63C4×#237—31no—
64C4×#235—31no—
65C3×#478—31no—
66#5094—31no—
67#5091—31no—
68#5087—31no—
69#5084—31no—
70#5066—31no—
71#5066D311yescharacteristic, complemented
72#5063—31no—
73#5063—31no—
74#5063—31no—
75#5063—61no—
76#5009—31no—
77#5002—31no—
78#5002—31no—
79#4998—31no—
80#4998—31no—
81C2×C4⋊(C3⋊C8)—31no—
82#4880—31no—
83#4875—31no—
84#4860—31no—
85#4854—31no—
86D3×C4⋊C8—31no—
87#4829—31no—
88#4772—31no—
89#4772—31no—
90#4761—31no—
91#4759—31no—
92C2×#634C2311yescharacteristic
93C2×C3×D12C2311yescharacteristic
94C2×C3×C4×D3—21no—
95C2×C3×C4×D3D411yescharacteristic
96C2×C3×C4×D3D411yescharacteristic
97C2×C3×C4×D3C2311yescharacteristic
98C2×C3×Dic6—21no—
99C2×C3×Dic6—21no—
100C2×#625—21no—
101C2×D3×Dic3—21no—
102C2×D3×Dic3—21no—
103#3795—22no—
104#3795Q814yescomplemented
105C32×C4⋊C4—21no—
106C32×C4⋊C4—21no—
107C32×C4⋊C4C2311yescharacteristic
108C32×C4⋊C4C2311yescharacteristic
109C32×C42C2311yescharacteristic
110C4⋊(C3⋊Dic3)C2311yescharacteristic
111#3750—21no—
112C4×C3⋊Dic3—21no—
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C2×C3⋊(C3⋊C8)C2311yescharacteristic
115C3×(C2×D3)⋊C4—21no—
116C3×(C2×D3)⋊C4—21no—
117C3×(C2×D3)⋊C4—21no—
118C3×C4⋊Dic3C2311yescharacteristic
119C3×C4⋊Dic3C2311yescharacteristic
120C3×C4⋊Dic3C2311yescharacteristic
121C3×Dic3⋊C4—21no—
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×C4×Dic3—21no—
126C3×C4×Dic3—21no—
127C3×C4×Dic3D411yescharacteristic
128C3×C4×Dic3D411yescharacteristic
129C3×C4×Dic3C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131C2×C3×C3⋊C8C2311yescharacteristic
132#3724—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135Dic32—21no—
136Dic32—21no—
137D3×C3⋊C8—22no—
138D3×C3⋊C8—22no—
139#3076—91noSylow
140C2×#237—31no—
141C2×#235—31no—
142C3×C4⋊Q8—31no—
143C3×C4⋊Q8—31no—
144C3×#125—21no—
145C3×#125—31no—
146C3×#125C2×D311yescharacteristic
147C3×#125C2×D311yescharacteristic
148C3×C22⋊Q8—61no—
149C3×C22⋊Q8—61no—
150C3×C4×Q8—61no—
151C3×C4×Q8—61no—
152C3×C4×D4—31no—
153C3×#117—31no—
154C3×#117—31no—
155C2×C3×C42—31no—
156D4×Dic3—31no—
157C4×#67—61no—
158C4×#67—61no—
159C4×#67—61no—
160#926—31no—
161C2×C4×Dic3—61no—
162C22×C3⋊C8—31no—
163C22×C3⋊C8—31no—
164C2×D3×C8—31no—
165C2×D3×C8—31no—
166#896—21no—
167#896—21no—
168#892—31no—
169#892C2×D311yescharacteristic
170#892C2×D311yescharacteristic
171#888C2×D311yescharacteristic
172#888C2×D311yescharacteristic
173#887—21no—
174#887—21no—
175#887—31no—
176#67⋊C4—61no—
177#877—61no—
178C4×D12—31no—
179C4×D12C2×D311yescharacteristic
180#872—61no—
181C42×D3—61no—
182C42×D3C2×D311yescharacteristic
183#870C2×D311yescharacteristic
184C4×Dic6—31no—
185C4×Dic6—31no—
186C4×Dic6—31no—
187C4×Dic6—61no—
188C3×#107—31no—
189C3×#106—31no—
190C3×C4⋊C8—31no—
191C3×#102—31no—
192C3×#102—31no—
193#832—31no—
194#832—31no—
195#818—31no—
196#817—31no—
197#816—31no—
198#816—31no—
199Dic3⋊C8—31no—
200Dic3⋊C8—31no—
201#810—31no—
202#810—31no—
203#810—31no—
204#810—31no—
205#810—31no—
206#810—31no—
207#810—61no—
208#810—61no—
209#809—31no—
210#809—31no—
211#809C2×D311yescharacteristic
212#809C2×D311yescharacteristic
213#808—31no—
214#808—31no—
215#808—31no—
216#808—31no—
217#808—31no—
218#808—61no—
219#808C2×D311yescharacteristic
220#807—31no—
221#807—31no—
222#807—31no—
223#807—31no—
224#807—31no—
225#807—61no—
226#807C2×D311yescharacteristic
227C4⋊(C3⋊C8)—31no—
228C4⋊(C3⋊C8)—31no—
229C4⋊(C3⋊C8)—31no—
230C4⋊(C3⋊C8)—31no—
231C4⋊(C3⋊C8)—61no—
232C4⋊(C3⋊C8)C2×D311yescharacteristic
233C22×C3×D3—21no—
234C22×C3×D3C2×D411yescharacteristic
235C2×C32×C4—21no—
236C2×C32×C4—21no—
237C2×C32×C4C2×D411yescharacteristic
238C2×C32×C4C2×D411yescharacteristic
239C2×C32×C4C2411yescharacteristic
240C2×C3⋊Dic3—21no—
241C2×C3⋊Dic3—21no—
242#634—21no—
243#634C2×Q812yes—
244C2×C3×Dic3—21no—
245C2×C3×Dic3—21no—
246C2×C3×Dic3—21no—
247C2×C3×Dic3C2×D411yescharacteristic
248C2×C3×Dic3C2×D411yescharacteristic
249C2×C3×Dic3C2×D411yescharacteristic
250C3×D12—21no—
251C3×D12C2×Q812yes—
252C3×C4×D3—22no—
253C3×C4×D3—41no—
254C3×C4×D3—42no—
255C3×C4×D3C2×Q812yes—
256C3×C4×D3#4112yes—
257C3×Dic6—42no—
258C3×Dic6—42no—
259#625—24no—
260D3×Dic3—24no—
261D3×Dic3—42no—
262C3⋊(C3⋊C8)—21no—
263C3⋊(C3⋊C8)—21no—
264C3×C3⋊C8—21no—
265C3×C3⋊C8—21no—
266#533—31no—
267C4×#41—91no—
268#479—91no—
269#479—91no—
270#478—31no—
271#478—91no—
272#477—91no—
273#476—91no—
274#475—91no—
275#474—91no—
276#427—91no—
277#427—91no—
278C2×C4⋊C8—91no—
279#416—91no—
280#416—91no—
281C2×C3×Q8—61no—
282C2×C3×Q8—61no—
283C2×C3×D4—31no—
284C22×C3×C4—31no—
285C22×C3×C4—31no—
286C22×C3×C4—31no—
287C22×C3×C4—61no—
288C2×#67—61no—
289C2×#67—61no—
290C22×Dic3—61no—
291C22×Dic3—61no—
292#237—34no—
293#237—62no—
294#235—34no—
295#235—62no—
296C2×D12C22×D311yescharacteristic
297C2×C4×D3—21no—
298C2×C4×D3—61no—
299C2×C4×D3—61no—
300C2×C4×D3#6711yescharacteristic
301C2×C4×D3#6711yescharacteristic
302C2×C4×D3C22×D311yescharacteristic
303C2×Dic6—21no—
304C2×Dic6—21no—
305C2×Dic6—31no—
306C2×Dic6—31no—
307C2×Dic6—61no—
308C2×C3×C8—31no—
309C2×C3×C8—31no—
310C3×C4⋊C4—21no—
311C3×C4⋊C4—21no—
312C3×C4⋊C4—21no—
313C3×C4⋊C4—21no—
314C3×C4⋊C4—21no—
315C3×C4⋊C4—21no—
316C3×C4⋊C4—31no—
317C3×C4⋊C4—31no—
318C3×C4⋊C4—31no—
319C3×C4⋊C4—41no—
320C3×C4⋊C4—41no—
321C3×C4⋊C4—61no—
322C3×C4⋊C4—61no—
323C3×C4⋊C4—61no—
324C3×C4⋊C4—61no—
325C3×C4⋊C4C22×D311yescharacteristic
326C3×C4⋊C4C22×D311yescharacteristic
327C3×C4⋊C4C22×D311yescharacteristic
328C3×C4⋊C4C22×D311yescharacteristic
329C3×C22⋊C4—61no—
330C3×C22⋊C4—61no—
331C3×C22⋊C4—61no—
332C3×C42—21no—
333C3×C42—31no—
334C3×C42—31no—
335C3×C42—31no—
336C3×C42—61no—
337C3×C42—61no—
338C3×C42C22×D311yescharacteristic
339C3×C42C22×D311yescharacteristic
340#217—61no—
341#217—61no—
342(C2×D3)⋊C4—21no—
343(C2×D3)⋊C4—21no—
344(C2×D3)⋊C4—21no—
345(C2×D3)⋊C4—61no—
346(C2×D3)⋊C4—61no—
347C4⋊Dic3—31no—
348C4⋊Dic3—31no—
349C4⋊Dic3—61no—
350C4⋊Dic3C22×D311yescharacteristic
351C4⋊Dic3C22×D311yescharacteristic
352C4⋊Dic3C22×D311yescharacteristic
353Dic3⋊C4—21no—
354Dic3⋊C4—21no—
355Dic3⋊C4—21no—
356Dic3⋊C4—21no—
357Dic3⋊C4—61no—
358Dic3⋊C4—61no—
359Dic3⋊C4—61no—
360Dic3⋊C4—61no—
361Dic3⋊C4—121no—
362C4×Dic3—21no—
363C4×Dic3—21no—
364C4×Dic3—61no—
365C4×Dic3—61no—
366C4×Dic3—61no—
367C4×Dic3—61no—
368C4×Dic3—61no—
369C4×Dic3—61no—
370C4×Dic3—121no—
371C4×Dic3#6711yescharacteristic
372C4×Dic3#6711yescharacteristic
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⋊C8—62no—
381C2×C3⋊C8—62no—
382C2×C3⋊C8C22×D311yescharacteristic
383C2×C3⋊C8C22×D311yescharacteristic
384D3×C8—62no—
385D3×C8—62no—
386C22×C32C22×D411yescharacteristic
387C2×C3×D3—21no—
388C2×C3×D3—21no—
389C2×C3×D3—22no—
390C2×C3×D3—41no—
391C2×C3×D3—41no—
392C2×C3×D3C22⋊Q812yes—
393C32×C4—21no—
394C32×C4—21no—
395C32×C4—41no—
396C32×C4—41no—
397C32×C4C22×Q811yescharacteristic
398C32×C4C2×#4111yescharacteristic
399C3⋊Dic3—22no—
400C3⋊Dic3—41no—
401C3×Dic3—21no—
402C3×Dic3—41no—
403C3×Dic3—41no—
404C3×Dic3—41no—
405C3×Dic3C22⋊Q812yes—
406C3×Dic3#13512yes—
407C2×#41—91no—
408C22×C8—91no—
409C22×C8—91no—
410C4⋊Q8—31no—
411C4⋊Q8—31no—
412#125—31no—
413#125D3211yescharacteristic
414C22⋊Q8—61no—
415C22⋊Q8—61no—
416C4×Q8—61no—
417C4×Q8—61no—
418C4×Q8—91no—
419C4×Q8—91no—
420C4×D4—31no—
421C4×D4—91no—
422C4×D4—181no—
423C4×D4—181no—
424#117—31no—
425#117—31no—
426#117—91no—
427#117—181no—
428C2×C42—31no—
429C2×C42—181no—
430#107—31no—
431#107—91no—
432#107—91no—
433#107—91no—
434#106—31no—
435#106—91no—
436#106—91no—
437#106—91no—
438C4⋊C8—31no—
439C4⋊C8—91no—
440C4⋊C8—91no—
441C4⋊C8—91no—
442#103—91no—
443#103—91no—
444#103—91no—
445#103—91no—
446#102—31no—
447#102—31no—
448#102—91no—
449#102—91no—
450C23×C3—31no—
451C23×C3—61no—
452C22×D3—21no—
453C22×D3C2×#6711yescharacteristic
454C3×Q8—122no—
455C3×Q8—122no—
456C3×D4—32no—
457C3×D4—61no—
458C2×C3×C4—21no—
459C2×C3×C4—21no—
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—32no—
468C2×C3×C4—32no—
469C2×C3×C4—31no—
470C2×C3×C4—41no—
471C2×C3×C4—41no—
472C2×C3×C4—62no—
473C2×C3×C4—61no—
474C2×C3×C4—61no—
475C2×C3×C4—61no—
476C2×C3×C4—121no—
477C2×C3×C4—122no—
478C2×C3×C4D3×D411yescharacteristic
479C2×C3×C4D3×D411yescharacteristic
480C2×C3×C4C2×#6711yescharacteristic
481C2×C3×C4C2×#6711yescharacteristic
482C2×C3×C4C23×D311yescharacteristic
483C2×C3×C4C23×D311yescharacteristic
484#67—64no—
485#67—64no—
486C2×Dic3—21no—
487C2×Dic3—21no—
488C2×Dic3—21no—
489C2×Dic3—61no—
490C2×Dic3—61no—
491C2×Dic3—64no—
492C2×Dic3—61no—
493C2×Dic3—61no—
494C2×Dic3—121no—
495C2×Dic3—121no—
496C2×Dic3—122no—
497C2×Dic3C2×#6711yescharacteristic
498C2×Dic3C2×#6711yescharacteristic
499C2×Dic3C2×#6711yescharacteristic
500D12—21no—
501D12D3×Q812yes—
502C4×D3—22no—
503C4×D3—41no—
504C4×D3—42no—
505C4×D3—64no—
506C4×D3—122no—
507C4×D3D3×Q812yes—
508C4×D3#23912yes—
509Dic6—32no—
510Dic6—32no—
511Dic6—42no—
512Dic6—42no—
513Dic6—62no—
514Dic6—61no—
515Dic6—61no—
516Dic6—121no—
517C3×C8—61no—
518C3×C8—61no—
519C3⋊C8—21no—
520C3⋊C8—21no—
521C3⋊C8—61no—
522C3⋊C8—61no—
523C3⋊C8—61no—
524C3⋊C8—61no—
525C3⋊C8—121no—
526C3⋊C8—121no—
527C2×C32C2×C22⋊Q811yescharacteristic
528C2×C32C2×#13511yescharacteristic
529C2×C32#57511yescharacteristic
530C3×D3—22no—
531C3×D3—42no—
532#41—94no—
533#41—182no—
534C2×Q8—61no—
535C2×Q8—61no—
536C2×Q8—91no—
537C2×D4—31no—
538C2×D4—181no—
539C22×C4—31no—
540C22×C4—31no—
541C22×C4—31no—
542C22×C4—61no—
543C22×C4—181no—
544C22×C4—181no—
545C2×C8—31no—
546C2×C8—31no—
547C2×C8—91no—
548C2×C8—91no—
549C2×C8—182no—
550C2×C8—182no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—31no—
554C4⋊C4—31no—
555C4⋊C4—31no—
556C4⋊C4—61no—
557C4⋊C4—61no—
558C4⋊C4—61no—
559C4⋊C4—61no—
560C4⋊C4—91no—
561C4⋊C4—181no—
562C4⋊C4—181no—
563C4⋊C4C2×D3211yescharacteristic
564C4⋊C4C2×D3211yescharacteristic
565C22⋊C4—61no—
566C22⋊C4—61no—
567C22⋊C4—61no—
568C22⋊C4—181no—
569C22⋊C4—181no—
570C42—31no—
571C42—31no—
572C42—31no—
573C42—61no—
574C42—61no—
575C42—181no—
576C42—181no—
577C42—181no—
578C42C2×D3211yescharacteristic
579C22×C3—21no—
580C22×C3—32no—
581C22×C3—61no—
582C22×C3—61no—
583C22×C3—62no—
584C22×C3—121no—
585C22×C3—121no—
586C22×C3C2×D3×D411yescharacteristic
587C22×C3C22×#6711yescharacteristic
588C2×D3—21no—
589C2×D3—21no—
590C2×D3—22no—
591C2×D3—41no—
592C2×D3—41no—
593C2×D3#94612yes—
594C3×C4—21no—
595C3×C4—21no—
596C3×C4—21no—
597C3×C4—21no—
598C3×C4—21no—
599C3×C4—21no—
600C3×C4—32no—
601C3×C4—32no—
602C3×C4—41no—
603C3×C4—41no—
604C3×C4—41no—
605C3×C4—41no—
606C3×C4—41no—
607C3×C4—41no—
608C3×C4—61no—
609C3×C4—81no—
610C3×C4—81no—
611C3×C4—121no—
612C3×C4—121no—
613C3×C4—121no—
614C3×C4C2×D3×Q811yescharacteristic
615C3×C4C2×D3×Q811yescharacteristic
616C3×C4C2×#23911yescharacteristic
617C3×C4D3×#4111yescharacteristic
618Dic3—21no—
619Dic3—41no—
620Dic3—41no—
621Dic3—41no—
622Dic3—62no—
623Dic3—62no—
624Dic3—122no—
625Dic3—121no—
626Dic3—121no—
627Dic3—241no—
628Dic3#94612yes—
629Dic3#95012yes—
630C32#307611yescharacteristic, complemented, Sylow
631C23—31no—
632C23—61no—
633Q8—92no—
634Q8—122no—
635Q8—122no—
636Q8—181no—
637D4—32no—
638D4—61no—
639D4—184no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—31no—
643C2×C4—31no—
644C2×C4—32no—
645C2×C4—32no—
646C2×C4—31no—
647C2×C4—62no—
648C2×C4—61no—
649C2×C4—61no—
650C2×C4—61no—
651C2×C4—121no—
652C2×C4—122no—
653C2×C4—184no—
654C2×C4—181no—
655C2×C4—181no—
656C2×C4—362no—
657C2×C4D3×#6711yescharacteristic
658C2×C4D3×#6711yescharacteristic
659C2×C4C22×D3211yescharacteristic
660C8—61no—
661C8—61no—
662C8—181no—
663C8—181no—
664C2×C3—21no—
665C2×C3—21no—
666C2×C3—21no—
667C2×C3—62no—
668C2×C3—122no—
669C2×C3D3×C22⋊Q811yescharacteristic
670C2×C3D3×#13511yescharacteristic
671C2×C3#577311yescharacteristic
672C2×C3C2×#94611yescharacteristic
673C2×C3C2×#95011yescharacteristic
674C2×C3#582211yescharacteristic
675D3—22no—
676D3—42no—
677C22—32no—
678C22—61no—
679C22—61no—
680C22—62no—
681C22—121no—
682C22—121no—
683C22C2×D3×#6711yescharacteristic
684C4—21no—
685C4—21no—
686C4—32no—
687C4—32no—
688C4—41no—
689C4—41no—
690C4—61no—
691C4—121no—
692C4—121no—
693C4—121no—
694C4—182no—
695C4—361no—
696C4D32×Q811yescharacteristic
697C4D3×#23911yescharacteristic
698C3—21no—
699C3#8116511yescharacteristic, complemented
700C3#8334911yescharacteristic, complemented
701C2—62no—
702C2—122no—
703C2D3×#94611yescharacteristic
704C2D3×#95011yescharacteristic
705C2#1059546911yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#125C22
socleC22×C32C22×D4
prime radicalC2×#3795C22
hypercenter#125D32
hypocenterC32#3076
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ #125

Complements

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

NH ≅ G/Ntype
1. C3×#5688C2semidirect
3. #10592762C2semidirect
4. C3×#5066C2semidirect
7. #10590572C2semidirect
8. #10590571C2semidirect
9. #10590488C2semidirect
10. #10590487C2semidirect
11. #10590465C2semidirect
12. #10590463C2semidirect
13. D3×C4⋊(C3⋊C8)C2semidirect
14. #10590292C2semidirect
15. #10590270C2semidirect
62. #5688D3semidirect
71. #5066D3semidirect
104. #3795Q8semidirect
630. C32#3076semidirect
699. C3#81165semidirect
700. C3#83349semidirect

Maximal subgroups

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

subgroupindex
C3×#56882
C4×#37952
#105927622
C3×#50662
#105906082
#105905722
#105905712
#105904882
#105904872
#105904652
#105904632
D3×C4⋊(C3⋊C8)2
#105902922
#105902702
#833493
#811653