Finite Group Databasebeta

← #11895846

Subgroups — #11895846

Order 1152.

804 conjugacy classes of subgroups.

The subgroup lattice has 722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5568C211yesmaximal, characteristic, complemented
2#10593903C211yesmaximal, characteristic, complemented
3#10592725C211yesmaximal, characteristic, complemented
4C3×#5021C211yesmaximal, characteristic, complemented
5#10591624C211yesmaximal, characteristic, complemented
6#10591623C211yesmaximal, characteristic, complemented
7#10591568C211yesmaximal, characteristic
8#10591565C211yesmaximal, characteristic, complemented
9#10590557C211yesmaximal, characteristic, complemented
10#10590555C211yesmaximal, characteristic, complemented
11#10590457C211yesmaximal, characteristic, complemented
12#10590456C211yesmaximal, characteristic
13#10590356C211yesmaximal, characteristic
14#10590280C211yesmaximal, characteristic, complemented
15#10590252C211yesmaximal, characteristic, complemented
16#83668—31nomaximal
17#81100—31nomaximal
18C2×#3797—21no—
19C32×C4×Q8C2211yescharacteristic
20C2×#3755C2211yescharacteristic
21C4×C4⋊(C3⋊D3)C2211yescharacteristic
22C3×#947C2211yescharacteristic
23C3×#944C2211yescharacteristic
24C3×#898—21no—
25C3×#896—21no—
26C3×#893C2211yescharacteristic
27C3×#887C2211yescharacteristic
28C3×#876—21no—
29C3×#875C2211yescharacteristic
30C3×#872—21no—
31C3×#869C2211yescharacteristic
32C3×C4×Dic6C2211yescharacteristic
33#63918C2211yescharacteristic
34#63918C2211yescharacteristic
35#63895—21no—
36#63895—21no—
37#63894C2211yescharacteristic
38#63894C2211yescharacteristic
39#63871—21no—
40C2×#3717C2211yescharacteristic
41C2×#3714C2211yescharacteristic
42#63662C2211yescharacteristic
43#63636C2211yescharacteristic
44#63634C2211yescharacteristic
45#63630C2211yescharacteristic
46C3×#835C2211yescharacteristic
47C3×#835C2211yescharacteristic
48C3×#807C2211yescharacteristic
49C3×#807C2211yescharacteristic
50C3×C4⋊(C3⋊C8)C2211yescharacteristic
51Dic3⋊(C3⋊C8)C2211yescharacteristic
52Dic3⋊(C3⋊C8)C2211yescharacteristic
53#63566C2211yescharacteristic
54#63565C2211yescharacteristic
55#63565C2211yescharacteristic
56#63563C2211yescharacteristic
57#63562C2211yescharacteristic
58#63562C2211yescharacteristic
59#63554C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#556—31no—
62#5727—31no—
63Q8×D12—31no—
64#5568D311yescharacteristic, complemented
65C3×#477—31no—
66#5089—31no—
67#5083—31no—
68#5079—31no—
69#5057—31no—
70#5057—31no—
71#5055—31no—
72#5055—31no—
73#5026—31no—
74#5026—31no—
75#5026—31no—
76#5026—61no—
77#5024—31no—
78#5021—31no—
79#5021D311yescharacteristic, complemented
80C4×#213—31no—
81#5007—31no—
82#4890—31no—
83#4889—31no—
84#4875—31no—
85#4872—31no—
86#4844—31no—
87#4828—31no—
88#4819—31no—
89#4818—31no—
90#4794—31no—
91#4792—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×C4⋊(C3⋊D3)C2311yescharacteristic
94C2×C4×C3⋊D3—21no—
95C2×C3×D12C2311yescharacteristic
96C2×C3×C4×D3—21no—
97C2×C3×Dic6—21no—
98C2×C3×Dic6D411yescharacteristic
99C2×C3×Dic6C2311yescharacteristic
100C2×#627—21no—
101C2×#627—21no—
102C2×#624—21no—
103C2×#624—21no—
104#3797—44no—
105C32×C4⋊C4—21no—
106C32×C4⋊C4C2311yescharacteristic
107C32×C42—21no—
108C32×C42C2311yescharacteristic
109#3755—22no—
110#3752—21no—
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112C2×C3⋊(C3⋊C8)C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C3×(C2×D3)⋊C4—21no—
115C3×(C2×D3)⋊C4—21no—
116C3×(C2×D3)⋊C4—21no—
117C3×(C2×D3)⋊C4—21no—
118C3×(C2×D3)⋊C4—21no—
119C3×C4⋊Dic3—21no—
120C3×C4⋊Dic3D411yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4⋊Dic3C2311yescharacteristic
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4—21no—
125C3×Dic3⋊C4—21no—
126C3×Dic3⋊C4D411yescharacteristic
127C3×Dic3⋊C4D411yescharacteristic
128C3×C4×Dic3—21no—
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#3717—22no—
138#3714—22no—
139#3367—91noSylow
140C2×D3×Q8—61no—
141C2×D3×Q8—61no—
142C3×C4⋊Q8—31no—
143C3×C4⋊Q8—31no—
144C3×#126—61no—
145C3×#126—61no—
146C3×#124—31no—
147C3×#124—31no—
148C3×C22⋊Q8—61no—
149C3×C4×Q8—21no—
150C3×C4×Q8—31no—
151C3×C4×Q8—31no—
152C3×C4×Q8C2×D311yescharacteristic
153C3×C4×Q8C2×D311yescharacteristic
154C3×C4×D4—31no—
155C3×#117—61no—
156#947C2×D311yescharacteristic
157#946—61no—
158#944C2×D311yescharacteristic
159C2×#215—31no—
160C2×#215—31no—
161C2×#215—31no—
162C2×#215—61no—
163C2×#213—31no—
164C2×D24—31no—
165C2×#204—31no—
166#898—21no—
167#897—61no—
168#897—61no—
169#897—61no—
170#896—21no—
171#896—61no—
172#896—61no—
173#893—31no—
174#893—31no—
175#893C2×D311yescharacteristic
176#888—31no—
177#888—31no—
178#887C2×D311yescharacteristic
179#876—21no—
180#875C2×D311yescharacteristic
181C4×D12—31no—
182C4×D12—31no—
183C4×D12—31no—
184C4×D12—31no—
185C4×D12—61no—
186#872—21no—
187#869—31no—
188#869—31no—
189#869C2×D311yescharacteristic
190C4×Dic6C2×D311yescharacteristic
191C3×#107—31no—
192C3×#107—31no—
193C3×C4⋊C8—31no—
194C3×#103—31no—
195C3×#103—31no—
196#835—31no—
197#835—31no—
198#835—31no—
199#835—31no—
200#835—31no—
201#835—61no—
202#835C2×D311yescharacteristic
203#835C2×D311yescharacteristic
204#832—31no—
205#832—31no—
206#832—31no—
207#821—31no—
208#816—31no—
209#815—31no—
210Dic3⋊C8—31no—
211Dic3⋊C8—31no—
212C8×Dic3—31no—
213#810—31no—
214#810—31no—
215#809—31no—
216#809—31no—
217#809—31no—
218#809—31no—
219#809—61no—
220#807—31no—
221#807—31no—
222#807—61no—
223#807C2×D311yescharacteristic
224#807C2×D311yescharacteristic
225C4⋊(C3⋊C8)—31no—
226C4⋊(C3⋊C8)—31no—
227C4⋊(C3⋊C8)C2×D311yescharacteristic
228#803—31no—
229#803—31no—
230#803—31no—
231#803—61no—
232C4×C3⋊C8—31no—
233C22×C3⋊D3—21no—
234C22×C3×D3—21no—
235C32×Q8—21no—
236C32×Q8—21no—
237C2×C32×C4—21no—
238C2×C32×C4—21no—
239C2×C32×C4C2×D411yescharacteristic
240C2×C32×C4C2×D411yescharacteristic
241C2×C32×C4C2411yescharacteristic
242C2×C3⋊Dic3—21no—
243C4⋊(C3⋊D3)—21no—
244C4⋊(C3⋊D3)#4112yes—
245C4×C3⋊D3—42no—
246C2×C3×Dic3—21no—
247C2×C3×Dic3—21no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3C2×D411yescharacteristic
250C2×C3×Dic3C2×D411yescharacteristic
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C3×D12—21no—
254C3×D12—21no—
255C3×C4×D3—42no—
256C3×Dic6—22no—
257C3×Dic6—21no—
258C3×Dic6—21no—
259C3×Dic6—42no—
260#627—42no—
261#627—42no—
262#624—42no—
263#624—42no—
264C3⋊(C3⋊C8)—21no—
265C3⋊(C3⋊C8)—21no—
266C3×C3⋊C8—21no—
267C3×C3⋊C8—21no—
268#556—31no—
269D4×Q8—91no—
270#489—91no—
271#489—91no—
272#487—91no—
273#477—31no—
274#477—91no—
275#474—91no—
276#463—91no—
277#463—91no—
278#461—91no—
279#446—91no—
280#440—91no—
281#440—91no—
282C4×D8—91no—
283C2×C3×Q8—21no—
284C2×C3×Q8—31no—
285C2×C3×Q8—31no—
286C2×C3×Q8—61no—
287C2×C3×Q8C22×D311yescharacteristic
288C2×C3×Q8C22×D311yescharacteristic
289C2×C3×D4—31no—
290C22×C3×C4—61no—
291D3×Q8—124no—
292D3×Q8—124no—
293C2×D12—31no—
294C2×D12—31no—
295C2×D12—61no—
296C2×D12C22×D311yescharacteristic
297C2×C4×D3—21no—
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—61no—
307C2×Dic6—61no—
308C2×Dic6—61no—
309C2×Dic6—61no—
310C2×Dic6#6711yescharacteristic
311C2×Dic6C22×D311yescharacteristic
312C2×C3×C8—31no—
313C2×C3×C8—31no—
314C3×C4⋊C4—21no—
315C3×C4⋊C4—21no—
316C3×C4⋊C4—21no—
317C3×C4⋊C4—31no—
318C3×C4⋊C4—31no—
319C3×C4⋊C4—31no—
320C3×C4⋊C4—31no—
321C3×C4⋊C4—31no—
322C3×C4⋊C4—41no—
323C3×C4⋊C4—61no—
324C3×C4⋊C4—61no—
325C3×C4⋊C4—61no—
326C3×C4⋊C4—61no—
327C3×C4⋊C4C22×D311yescharacteristic
328C3×C4⋊C4C22×D311yescharacteristic
329C3×C22⋊C4—61no—
330C3×C22⋊C4—61no—
331C3×C22⋊C4—61no—
332C3×C22⋊C4—61no—
333C3×C22⋊C4—61no—
334C3×C42—21no—
335C3×C42—21no—
336C3×C42—21no—
337C3×C42—31no—
338C3×C42—31no—
339C3×C42—41no—
340C3×C42—61no—
341C3×C42C22×D311yescharacteristic
342C3×C42C22×D311yescharacteristic
343#215—62no—
344#215—62no—
345#215—62no—
346#215—64no—
347#213—62no—
348(C2×D3)⋊C4—21no—
349(C2×D3)⋊C4—21no—
350(C2×D3)⋊C4—21no—
351(C2×D3)⋊C4—21no—
352(C2×D3)⋊C4—21no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—121no—
360C4⋊Dic3—21no—
361C4⋊Dic3—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3#6711yescharacteristic
367C4⋊Dic3C22×D311yescharacteristic
368C4⋊Dic3C22×D311yescharacteristic
369Dic3⋊C4—21no—
370Dic3⋊C4—21no—
371Dic3⋊C4—21no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4#6711yescharacteristic
375Dic3⋊C4#6711yescharacteristic
376C4×Dic3—21no—
377C4×Dic3C22×D311yescharacteristic
378C4×Dic3C22×D311yescharacteristic
379C2×C3⋊C8—31no—
380C2×C3⋊C8—31no—
381C2×C3⋊C8—31no—
382C2×C3⋊C8—31no—
383C2×C3⋊C8—61no—
384C2×C3⋊C8—61no—
385C2×C3⋊C8C22×D311yescharacteristic
386C2×C3⋊C8C22×D311yescharacteristic
387D24—62no—
388#204—62no—
389C22×C32C22×D411yescharacteristic
390C2×C3⋊D3—22no—
391C2×C3⋊D3—41no—
392C2×C3⋊D3—41no—
393C2×C3×D3—41no—
394C2×C3×D3—41no—
395C2×C3×D3—41no—
396C32×C4—21no—
397C32×C4—21no—
398C32×C4—41no—
399C32×C4—41no—
400C32×C4C2×#4111yescharacteristic
401C32×C42−1+411yescharacteristic
402C3⋊Dic3—41no—
403C3×Dic3—21no—
404C3×Dic3—21no—
405C3×Dic3—21no—
406C3×Dic3—41no—
407C3×Dic3—41no—
408C3×Dic3—41no—
409C3×Dic3AGL(1,ℤ/8)12yes—
410C22×Q8—181no—
411C2×SD16—91no—
412C2×SD16—91no—
413C2×D8—91no—
414C4⋊Q8—31no—
415C4⋊Q8—31no—
416C4⋊Q8—91no—
417C4⋊Q8—91no—
418#126—61no—
419#126—61no—
420#124—31no—
421#124—31no—
422C22⋊Q8—61no—
423C22⋊Q8—181no—
424C22⋊Q8—181no—
425C22⋊Q8—181no—
426C4×Q8—31no—
427C4×Q8—31no—
428C4×Q8D3211yescharacteristic
429C4×D4—31no—
430C4×D4—91no—
431C4×D4—91no—
432C4×D4—91no—
433#117—61no—
434#107—31no—
435#107—31no—
436#107—91no—
437C4⋊C8—31no—
438C4⋊C8—91no—
439C4⋊C8—91no—
440#103—31no—
441#103—31no—
442#103—91no—
443#103—91no—
444#103—91no—
445#103—91no—
446#102—91no—
447#102—91no—
448#102—91no—
449#102—91no—
450#97—91no—
451#97—91no—
452C4×C8—91no—
453C23×C3—61no—
454C22×D3—21no—
455C22×D3—61no—
456C22×D3—61no—
457C22×D3—121no—
458C3×Q8—22no—
459C3×Q8—21no—
460C3×Q8—21no—
461C3×Q8—21no—
462C3×Q8—21no—
463C3×Q8—41no—
464C3×Q8—62no—
465C3×Q8—61no—
466C3×Q8—61no—
467C3×Q8—122no—
468C3×D4—61no—
469C3×D4—61no—
470C2×C3×C4—21no—
471C2×C3×C4—21no—
472C2×C3×C4—21no—
473C2×C3×C4—21no—
474C2×C3×C4—21no—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
477C2×C3×C4—31no—
478C2×C3×C4—31no—
479C2×C3×C4—31no—
480C2×C3×C4—31no—
481C2×C3×C4—41no—
482C2×C3×C4—41no—
483C2×C3×C4—61no—
484C2×C3×C4—61no—
485C2×C3×C4—61no—
486C2×C3×C4—122no—
487C2×C3×C4D3×D411yescharacteristic
488C2×C3×C4D3×D411yescharacteristic
489C2×C3×C4C2×#6711yescharacteristic
490C2×C3×C4C2×#6711yescharacteristic
491C2×C3×C4C23×D311yescharacteristic
492C2×C3×C4C23×D311yescharacteristic
493C2×Dic3—21no—
494C2×Dic3—21no—
495C2×Dic3—21no—
496C2×Dic3—61no—
497C2×Dic3—61no—
498C2×Dic3—121no—
499C2×Dic3C2×#6711yescharacteristic
500C2×Dic3C2×#6711yescharacteristic
501C2×Dic3C2×#6711yescharacteristic
502C2×Dic3C2×#6711yescharacteristic
503D12—21no—
504D12—21no—
505D12—32no—
506D12—32no—
507D12—62no—
508D12—61no—
509D12—61no—
510D12—121no—
511C4×D3—42no—
512C4×D3—122no—
513C4×D3—122no—
514C4×D3—122no—
515C4×D3—122no—
516C4×D3—122no—
517C4×D3—122no—
518C4×D3—242no—
519Dic6—22no—
520Dic6—21no—
521Dic6—21no—
522Dic6—42no—
523Dic6—122no—
524Dic6—122no—
525Dic6—122no—
526Dic6—122no—
527C3×C8—61no—
528C3×C8—61no—
529C3⋊C8—21no—
530C3⋊C8—21no—
531C3⋊C8—62no—
532C3⋊C8—61no—
533C3⋊C8—61no—
534C3⋊C8—61no—
535C3⋊C8—61no—
536C3⋊C8—121no—
537C2×C32#54811yescharacteristic
538C2×C32C2×AGL(1,ℤ/8)11yescharacteristic
539C2×C32#57811yescharacteristic
540C3⋊D3—42no—
541C3×D3—81no—
542C2×Q8—31no—
543C2×Q8—31no—
544C2×Q8—61no—
545C2×Q8—181no—
546C2×Q8—181no—
547C2×Q8—364no—
548C2×Q8C2×D3211yescharacteristic
549C2×D4—31no—
550C2×D4—91no—
551C22×C4—61no—
552C22×C4—181no—
553C22×C4—181no—
554C22×C4—181no—
555SD16—182no—
556SD16—182no—
557D8—182no—
558C2×C8—31no—
559C2×C8—31no—
560C2×C8—91no—
561C2×C8—91no—
562C4⋊C4—21no—
563C4⋊C4—31no—
564C4⋊C4—31no—
565C4⋊C4—31no—
566C4⋊C4—31no—
567C4⋊C4—31no—
568C4⋊C4—61no—
569C4⋊C4—61no—
570C4⋊C4—61no—
571C4⋊C4—61no—
572C4⋊C4—91no—
573C4⋊C4—181no—
574C4⋊C4—181no—
575C4⋊C4C2×D3211yescharacteristic
576C22⋊C4—61no—
577C22⋊C4—61no—
578C22⋊C4—61no—
579C22⋊C4—61no—
580C22⋊C4—61no—
581C22⋊C4—181no—
582C22⋊C4—181no—
583C22⋊C4—181no—
584C42—21no—
585C42—31no—
586C42—31no—
587C42—61no—
588C42C2×D3211yescharacteristic
589C22×C3—21no—
590C22×C3—121no—
591C22×C3—121no—
592C22×C3—121no—
593C22×C3C2×D3×D411yescharacteristic
594C22×C3C22×#6711yescharacteristic
595C2×D3—41no—
596C2×D3—41no—
597C2×D3—41no—
598C2×D3—62no—
599C2×D3—62no—
600C2×D3—122no—
601C2×D3—121no—
602C2×D3—121no—
603C2×D3—121no—
604C2×D3—121no—
605C2×D3—241no—
606C2×D3—241no—
607C3×C4—21no—
608C3×C4—21no—
609C3×C4—21no—
610C3×C4—21no—
611C3×C4—21no—
612C3×C4—21no—
613C3×C4—32no—
614C3×C4—41no—
615C3×C4—41no—
616C3×C4—42no—
617C3×C4—41no—
618C3×C4—41no—
619C3×C4—41no—
620C3×C4—41no—
621C3×C4—61no—
622C3×C4—61no—
623C3×C4—61no—
624C3×C4—81no—
625C3×C4—121no—
626C3×C4—121no—
627C3×C4—121no—
628C3×C4#100711yescharacteristic
629C3×C4D3×#4111yescharacteristic
630C3×C4D3×#4111yescharacteristic
631C3×C4#101011yescharacteristic
632Dic3—21no—
633Dic3—21no—
634Dic3—21no—
635Dic3—41no—
636Dic3—41no—
637Dic3—41no—
638Dic3—121no—
639Dic3—121no—
640Dic3—241no—
641Dic3#94912yes—
642C32#336711yescharacteristic, complemented, Sylow
643C23—61no—
644C23—181no—
645Q8—21no—
646Q8—21no—
647Q8—62no—
648Q8—61no—
649Q8—61no—
650Q8—122no—
651Q8—362no—
652Q8—362no—
653D4—61no—
654D4—61no—
655D4—92no—
656D4—181no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—31no—
660C2×C4—31no—
661C2×C4—31no—
662C2×C4—31no—
663C2×C4—61no—
664C2×C4—61no—
665C2×C4—61no—
666C2×C4—122no—
667C2×C4—181no—
668C2×C4—362no—
669C2×C4—362no—
670C2×C4—362no—
671C2×C4D3×#6711yescharacteristic
672C2×C4D3×#6711yescharacteristic
673C2×C4C22×D3211yescharacteristic
674C8—61no—
675C8—61no—
676C8—181no—
677C8—181no—
678C2×C3—21no—
679C2×C3—21no—
680C2×C3—21no—
681C2×C3—241no—
682C2×C3#563311yescharacteristic
683C2×C3#576611yescharacteristic
684C2×C3D3×AGL(1,ℤ/8)11yescharacteristic
685C2×C3C2×#94911yescharacteristic
686C2×C3#583111yescharacteristic
687C2×C3#583811yescharacteristic
688D3—81no—
689D3—122no—
690D3—122no—
691D3—242no—
692C22—121no—
693C22—121no—
694C22—121no—
695C22—182no—
696C22—361no—
697C22—361no—
698C22C2×D3×#6711yescharacteristic
699C4—21no—
700C4—21no—
701C4—32no—
702C4—41no—
703C4—41no—
704C4—61no—
705C4—61no—
706C4—61no—
707C4—121no—
708C4—121no—
709C4—121no—
710C4—361no—
711C4#6429711yescharacteristic
712C4#6430611yescharacteristic
713C3—21no—
714C3#8110011yescharacteristic, complemented
715C3#8366811yescharacteristic, complemented
716C2—241no—
717C2—362no—
718C2#1059483011yescharacteristic
719C2#1059532711yescharacteristic
720C2D3×#94911yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×Q8C22
socleC22×C32C22×D4
prime radicalC2×#3714C22
hypercenterC4×Q8D32
hypocenterC32#3367
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C42 ◁ C4×Q8

Complements

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

NH ≅ G/Ntype
1. C3×#5568C2semidirect
2. #10593903C2semidirect
3. #10592725C2semidirect
4. C3×#5021C2semidirect
5. #10591624C2semidirect
6. #10591623C2semidirect
8. #10591565C2semidirect
9. #10590557C2semidirect
10. #10590555C2semidirect
11. #10590457C2semidirect
14. #10590280C2semidirect
15. #10590252C2semidirect
64. #5568D3semidirect
79. #5021D3semidirect
642. C32#3367semidirect
714. C3#81100semidirect
715. C3#83668semidirect

Maximal subgroups

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

subgroupindex
C3×#55682
#105939032
#105927252
C3×#50212
#105916242
#105916232
#105915682
#105915652
#105905572
#105905552
#105904572
#105904562
#105903562
#105902802
#105902522
#836683
#811003