Finite Group Databasebeta

← #11872521

Subgroups — #11872521

Order 1152.

789 conjugacy classes of subgroups.

The subgroup lattice has 719 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5574C211yesmaximal, characteristic
2#10593862C211yesmaximal, characteristic, complemented
3#10592721C211yesmaximal, characteristic, complemented
4C3×#5031C211yesmaximal, characteristic, complemented
5#10591597C211yesmaximal, characteristic
6#10591597C211yesmaximal, characteristic
7#10591576C211yesmaximal, characteristic, complemented
8Dic3×#216C211yesmaximal, characteristic, complemented
9#10590517C211yesmaximal, characteristic, complemented
10#10590516C211yesmaximal, characteristic, complemented
11#10590478C211yesmaximal, characteristic, complemented
12#10590475C211yesmaximal, characteristic, complemented
13#10590363C211yesmaximal, characteristic, complemented
14#10590271C211yesmaximal, characteristic, complemented
15#10590253C211yesmaximal, characteristic, complemented
16#82575—31nomaximal
17#80460—31nomaximal
18C2×C3×#239C2211yescharacteristic
19C32×C4×Q8C2211yescharacteristic
20#64079C2211yescharacteristic
21C3×Q8×Dic3C2211yescharacteristic
22C2×C3×#216C2211yescharacteristic
23C2×C3×#216C2211yescharacteristic
24C3×#893—21no—
25C3×#893C2211yescharacteristic
26C3×D3×C4⋊C4—21no—
27C3×D3×C4⋊C4C2211yescharacteristic
28C3×C4×D12—21no—
29C3×C4×D12C2211yescharacteristic
30C3×#872—21no—
31C3×#872C2211yescharacteristic
32C3×#869C2211yescharacteristic
33#63858—21no—
34#63858—21no—
35#63856C2211yescharacteristic
36#63856C2211yescharacteristic
37#63847—21no—
38#63847—21no—
39Dic3×Dic6C2211yescharacteristic
40Dic3×Dic6C2211yescharacteristic
41C2×#3715C2211yescharacteristic
42C2×#3715C2211yescharacteristic
43#63662C2211yescharacteristic
44#63662C2211yescharacteristic
45#63635C2211yescharacteristic
46#63634C2211yescharacteristic
47C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic
48C3×#810C2211yescharacteristic
49C3×#810C2211yescharacteristic
50C3×C4⋊(C3⋊C8)C2211yescharacteristic
51#63575C2211yescharacteristic
52#63573C2211yescharacteristic
53#63565C2211yescharacteristic
54#63565C2211yescharacteristic
55#63563C2211yescharacteristic
56#63563C2211yescharacteristic
57(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
58(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
59#63554C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#520—31no—
62#5731—31no—
63#5574D311yescharacteristic
64#5518—31no—
65C3×#462—31no—
66#5239—31no—
67#5239—31no—
68#5187—31no—
69#5187—31no—
70#5184—31no—
71Dic3×Q16—31no—
72#5083—31no—
73#5031D311yescharacteristic, complemented
74#5030—31no—
75C4×#216—31no—
76#5022—31no—
77#5022—31no—
78#5022—61no—
79#5019—31no—
80#5018—31no—
81C4×#214—31no—
82#5009—31no—
83#5000—31no—
84#4971—31no—
85#4970—31no—
86#4847—31no—
87#4840—31no—
88#4817—31no—
89#4811—31no—
90#4805—31no—
91#4788—31no—
92C2×C32×Q8C2311yescharacteristic
93C3×#239—22no—
94C3×#239—22no—
95C2×C3×D12—21no—
96C2×C3×D12C2311yescharacteristic
97C2×C3×C4×D3—21no—
98C2×C3×C4×D3—21no—
99C2×C3×C4×D3—21no—
100C2×C3×C4×D3—21no—
101C2×C3×C4×D3C2311yescharacteristic
102C2×C3×Dic6C2311yescharacteristic
103C2×C3×Dic6C2311yescharacteristic
104C32×C4⋊C4—21no—
105C32×C4⋊C4C2311yescharacteristic
106C32×C42—21no—
107C32×C42C2311yescharacteristic
108C4⋊(C3⋊Dic3)C2311yescharacteristic
109C4⋊(C3⋊Dic3)C2311yescharacteristic
110#3750—21no—
111#3750—21no—
112C2×C3⋊(C3⋊C8)C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C3×#216—22no—
115C3×#216—22no—
116C3×(C2×D3)⋊C4—21no—
117C3×(C2×D3)⋊C4—21no—
118C3×(C2×D3)⋊C4D411yescharacteristic
119C3×(C2×D3)⋊C4D411yescharacteristic
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3—21no—
122C3×C4⋊Dic3—21no—
123C3×C4⋊Dic3C2311yescharacteristic
124C3×Dic3⋊C4—21no—
125C3×Dic3⋊C4D411yescharacteristic
126C3×Dic3⋊C4D411yescharacteristic
127C3×C4×Dic3—21no—
128C3×C4×Dic3C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C2×C3×C3⋊C8C2311yescharacteristic
131#3724—21no—
132#3724—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137Dic32—21no—
138Dic32—21no—
139#3715—22no—
140#3715—22no—
141#3120—91noSylow
142C2×C3×#41—31no—
143C2×#239C2×D311yescharacteristic
144C2×C3×Q16—31no—
145C2×C3×Q16—31no—
146C3×C4⋊Q8—31no—
147C3×C4×Q8—21no—
148C3×C4×Q8—31no—
149C3×C4×Q8C2×D311yescharacteristic
150C3×C4×Q8C2×D311yescharacteristic
151C3×C4×D4—31no—
152C3×C4×D4—31no—
153C3×C4×D4—61no—
154C3×C4×D4—61no—
155C3×#117—31no—
156C3×#117—61no—
157C2×C3×C4⋊C4—31no—
158C2×C3×C4⋊C4—61no—
159#946—31no—
160#946—31no—
161Q8×Dic3—31no—
162Q8×Dic3—31no—
163Q8×Dic3C2×D311yescharacteristic
164C2×#216C2×D311yescharacteristic
165C2×#216C2×D311yescharacteristic
166C2×#215—31no—
167C2×#215—31no—
168C2×#214—31no—
169C2×#214—31no—
170#924—31no—
171#924—31no—
172#898—61no—
173#898—61no—
174#893—21no—
175#893C2×D311yescharacteristic
176D3×C4⋊C4—21no—
177D3×C4⋊C4C2×D311yescharacteristic
178#889—61no—
179#889—61no—
180#889—61no—
181#889—61no—
182#879—61no—
183#879—61no—
184C4×D12—21no—
185C4×D12C2×D311yescharacteristic
186#872—21no—
187#872C2×D311yescharacteristic
188#870—31no—
189#870—31no—
190#870—61no—
191#869C2×D311yescharacteristic
192C4×Dic6—31no—
193C4×Dic6—31no—
194C3×C4⋊C8—31no—
195C3×#103—31no—
196C3×#103—31no—
197#835—31no—
198#835—31no—
199#835—31no—
200#835—31no—
201#835—31no—
202#835—31no—
203#835—61no—
204#835—61no—
205#832—31no—
206#832—31no—
207#830—31no—
208#830—31no—
209#821—31no—
210#821—31no—
211(C2×D3)⋊C8—31no—
212(C2×D3)⋊C8—31no—
213#818—31no—
214#817—31no—
215#815—31no—
216C8×Dic3—31no—
217#810—31no—
218#810—31no—
219#810C2×D311yescharacteristic
220#810C2×D311yescharacteristic
221#808—31no—
222#808—31no—
223#808—31no—
224#808—61no—
225#807—31no—
226#807—31no—
227#807—31no—
228#807—61no—
229C4⋊(C3⋊C8)—31no—
230C4⋊(C3⋊C8)—31no—
231C4⋊(C3⋊C8)—61no—
232C4⋊(C3⋊C8)C2×D311yescharacteristic
233#803—31no—
234C4×C3⋊C8—31no—
235C22×C3×D3—21no—
236C22×C3×D3C2×D411yescharacteristic
237C32×Q8—21no—
238C32×Q8#4112yes—
239C2×C32×C4—21no—
240C2×C32×C4—21no—
241C2×C32×C4C2×D411yescharacteristic
242C2×C32×C4C2×D411yescharacteristic
243C2×C32×C4C2411yescharacteristic
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—21no—
246C2×C3×Dic3—21no—
247C2×C3×Dic3—21no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3C2×D411yescharacteristic
250C2×C3×Dic3C2×D411yescharacteristic
251C2×C3×Dic3C2×D411yescharacteristic
252C3×D12—24no—
253C3×D12—21no—
254C3×D12#4112yes—
255C3×C4×D3—24no—
256C3×C4×D3—21no—
257C3×C4×D3—21no—
258C3×C4×D3—81no—
259C3×C4×D3—81no—
260C3×C4×D3—81no—
261C3×Dic6—21no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3⋊(C3⋊C8)—21no—
266C3⋊(C3⋊C8)—21no—
267C3×C3⋊C8—21no—
268C3×C3⋊C8—21no—
269#541—91no—
270#520—31no—
271#484—91no—
272#483—91no—
273#479—91no—
274#478—91no—
275#462—31no—
276#461—91no—
277#452—91no—
278#452—91no—
279#441—91no—
280#440—91no—
281C4×Q16—91no—
282C4×SD16—91no—
283#433—91no—
284C3×#41—62no—
285C3×#41—62no—
286C2×C3×Q8—21no—
287C2×C3×Q8—31no—
288C2×C3×Q8—31no—
289C2×C3×Q8C22×D311yescharacteristic
290C2×C3×Q8C22×D311yescharacteristic
291C2×C3×D4—31no—
292C2×C3×D4—61no—
293C22×C3×C4—31no—
294C22×C3×C4—61no—
295C22×C3×C4—61no—
296C22×C3×C4—61no—
297C22×C3×C4—61no—
298#239—22no—
299#239—22no—
300C2×D12—21no—
301C2×D12C22×D311yescharacteristic
302C2×C4×D3—21no—
303C2×C4×D3—21no—
304C2×C4×D3—21no—
305C2×C4×D3—21no—
306C2×C4×D3C22×D311yescharacteristic
307C2×Dic6C22×D311yescharacteristic
308C2×Dic6C22×D311yescharacteristic
309C3×Q16—62no—
310C3×Q16—62no—
311C2×C3×C8—31no—
312C2×C3×C8—31no—
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—61no—
321C3×C4⋊C4—61no—
322C3×C4⋊C4—61no—
323C3×C4⋊C4—61no—
324C3×C4⋊C4C22×D311yescharacteristic
325C3×C4⋊C4C22×D311yescharacteristic
326C3×C22⋊C4—31no—
327C3×C22⋊C4—31no—
328C3×C22⋊C4—61no—
329C3×C22⋊C4—61no—
330C3×C42—21no—
331C3×C42—21no—
332C3×C42—21no—
333C3×C42—31no—
334C3×C42—41no—
335C3×C42—61no—
336C3×C42C22×D311yescharacteristic
337C3×C42C22×D311yescharacteristic
338#217—61no—
339#217—61no—
340#216—22no—
341#216—22no—
342#215—62no—
343#215—62no—
344#214—62no—
345#214—62no—
346(C2×D3)⋊C4—21no—
347(C2×D3)⋊C4—21no—
348(C2×D3)⋊C4—61no—
349(C2×D3)⋊C4—61no—
350(C2×D3)⋊C4#6711yescharacteristic
351(C2×D3)⋊C4#6711yescharacteristic
352C4⋊Dic3—21no—
353C4⋊Dic3—21no—
354C4⋊Dic3—21no—
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⋊Dic3C22×D311yescharacteristic
364Dic3⋊C4—21no—
365Dic3⋊C4—61no—
366Dic3⋊C4—61no—
367Dic3⋊C4—61no—
368Dic3⋊C4—61no—
369Dic3⋊C4—61no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—121no—
376Dic3⋊C4—121no—
377Dic3⋊C4#6711yescharacteristic
378Dic3⋊C4#6711yescharacteristic
379C4×Dic3—21no—
380C4×Dic3—61no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3C22×D311yescharacteristic
385C2×C3⋊C8—31no—
386C2×C3⋊C8—31no—
387C2×C3⋊C8—31no—
388C2×C3⋊C8—31no—
389C2×C3⋊C8—61no—
390C2×C3⋊C8—61no—
391C2×C3⋊C8C22×D311yescharacteristic
392C2×C3⋊C8C22×D311yescharacteristic
393C22×C32C22×D411yescharacteristic
394C2×C3×D3—21no—
395C2×C3×D3—22no—
396C2×C3×D3—21no—
397C2×C3×D3—21no—
398C2×C3×D3—41no—
399C2×C3×D3—41no—
400C32×C4—22no—
401C32×C4—21no—
402C32×C4—21no—
403C32×C4—41no—
404C32×C4C2×#4111yescharacteristic
405C32×C4C2×#4111yescharacteristic
406C3⋊Dic3—41no—
407C3⋊Dic3—41no—
408C3×Dic3—21no—
409C3×Dic3—21no—
410C3×Dic3—21no—
411C3×Dic3—41no—
412C3×Dic3—41no—
413C3×Dic3—41no—
414C2×#41—31no—
415C2×Q16—31no—
416C2×Q16—31no—
417C2×SD16—91no—
418C2×SD16—91no—
419C4⋊Q8—31no—
420#126—181no—
421#126—181no—
422#125—91no—
423#125—181no—
424#125—181no—
425C22⋊Q8—91no—
426C22⋊Q8—91no—
427C4×Q8—31no—
428C4×Q8—91no—
429C4×Q8—91no—
430C4×Q8D3211yescharacteristic
431C4×D4—31no—
432C4×D4—31no—
433C4×D4—61no—
434C4×D4—61no—
435#117—31no—
436#117—61no—
437C2×C4⋊C4—31no—
438C2×C4⋊C4—61no—
439#107—91no—
440#107—91no—
441#106—91no—
442#106—91no—
443C4⋊C8—31no—
444C4⋊C8—91no—
445#103—31no—
446#103—31no—
447#103—91no—
448#103—91no—
449#103—91no—
450#103—91no—
451#102—91no—
452#102—91no—
453C22⋊C8—91no—
454C22⋊C8—91no—
455#97—91no—
456C4×C8—91no—
457C23×C3—31no—
458C23×C3—61no—
459C22×D3—21no—
460C22×D3C2×#6711yescharacteristic
461C3×Q8—21no—
462C3×Q8—21no—
463C3×Q8—22no—
464C3×Q8—41no—
465C3×Q8—61no—
466C3×Q8—61no—
467C3×Q8—61no—
468C3×Q8—61no—
469C3×Q8#23512yes—
470C3×Q8#23712yes—
471C3×D4—32no—
472C3×D4—64no—
473C3×D4—61no—
474C2×C3×C4—21no—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
477C2×C3×C4—21no—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—21no—
481C2×C3×C4—31no—
482C2×C3×C4—31no—
483C2×C3×C4—31no—
484C2×C3×C4—41no—
485C2×C3×C4—41no—
486C2×C3×C4—64no—
487C2×C3×C4—61no—
488C2×C3×C4—61no—
489C2×C3×C4—61no—
490C2×C3×C4—61no—
491C2×C3×C4—61no—
492C2×C3×C4—241no—
493C2×C3×C4—241no—
494C2×C3×C4—241no—
495C2×C3×C4D3×D411yescharacteristic
496C2×C3×C4D3×D411yescharacteristic
497C2×C3×C4C2×#6711yescharacteristic
498C2×C3×C4C2×#6711yescharacteristic
499C2×C3×C4C23×D311yescharacteristic
500C2×C3×C4C23×D311yescharacteristic
501C2×Dic3—21no—
502C2×Dic3—21no—
503C2×Dic3—21no—
504C2×Dic3—61no—
505C2×Dic3—61no—
506C2×Dic3—61no—
507C2×Dic3—61no—
508C2×Dic3—121no—
509C2×Dic3—121no—
510C2×Dic3C2×#6711yescharacteristic
511C2×Dic3C2×#6711yescharacteristic
512C2×Dic3C2×#6711yescharacteristic
513D12—24no—
514D12—21no—
515D12#23512yes—
516C4×D3—24no—
517C4×D3—21no—
518C4×D3—21no—
519C4×D3—81no—
520C4×D3—81no—
521C4×D3—81no—
522Dic6—21no—
523Dic6—21no—
524Dic6—21no—
525Dic6—21no—
526C3×C8—61no—
527C3×C8—61no—
528C3⋊C8—21no—
529C3⋊C8—21no—
530C3⋊C8—61no—
531C3⋊C8—61no—
532C3⋊C8—61no—
533C3⋊C8—61no—
534C3⋊C8—121no—
535C3⋊C8—121no—
536C2×C32#52511yescharacteristic
537C2×C32#57711yescharacteristic
538C2×C32#57811yescharacteristic
539C3×D3—41no—
540C3×D3—42no—
541#41—62no—
542#41—62no—
543C2×Q8—31no—
544C2×Q8—31no—
545C2×Q8C2×D3211yescharacteristic
546C2×D4—31no—
547C2×D4—61no—
548C22×C4—31no—
549C22×C4—61no—
550C22×C4—61no—
551C22×C4—61no—
552C22×C4—61no—
553Q16—62no—
554Q16—62no—
555SD16—182no—
556SD16—182no—
557C2×C8—31no—
558C2×C8—31no—
559C2×C8—91no—
560C2×C8—91no—
561C4⋊C4—21no—
562C4⋊C4—31no—
563C4⋊C4—31no—
564C4⋊C4—31no—
565C4⋊C4—61no—
566C4⋊C4—61no—
567C4⋊C4—61no—
568C4⋊C4—61no—
569C4⋊C4—91no—
570C4⋊C4—91no—
571C4⋊C4—181no—
572C4⋊C4—181no—
573C4⋊C4—181no—
574C4⋊C4—181no—
575C4⋊C4—181no—
576C4⋊C4—181no—
577C4⋊C4C2×D3211yescharacteristic
578C22⋊C4—31no—
579C22⋊C4—31no—
580C22⋊C4—61no—
581C22⋊C4—61no—
582C22⋊C4—181no—
583C22⋊C4—181no—
584C42—21no—
585C42—31no—
586C42—61no—
587C42—181no—
588C42—181no—
589C42C2×D3211yescharacteristic
590C22×C3—21no—
591C22×C3—61no—
592C22×C3—61no—
593C22×C3—62no—
594C22×C3—61no—
595C22×C3—121no—
596C22×C3—121no—
597C22×C3C2×D3×D411yescharacteristic
598C22×C3C22×#6711yescharacteristic
599C2×D3—21no—
600C2×D3—22no—
601C2×D3—21no—
602C2×D3—21no—
603C2×D3—41no—
604C2×D3—41no—
605C3×C4—21no—
606C3×C4—21no—
607C3×C4—22no—
608C3×C4—21no—
609C3×C4—21no—
610C3×C4—22no—
611C3×C4—21no—
612C3×C4—21no—
613C3×C4—41no—
614C3×C4—41no—
615C3×C4—42no—
616C3×C4—41no—
617C3×C4—41no—
618C3×C4—61no—
619C3×C4—61no—
620C3×C4—61no—
621C3×C4—81no—
622C3×C4—121no—
623C3×C4—121no—
624C3×C4—121no—
625C3×C4C2×#23511yescharacteristic
626C3×C4C2×#23511yescharacteristic
627C3×C4C2×#23711yescharacteristic
628C3×C4D3×#4111yescharacteristic
629Dic3—21no—
630Dic3—21no—
631Dic3—21no—
632Dic3—41no—
633Dic3—41no—
634Dic3—41no—
635Dic3—121no—
636Dic3—121no—
637Dic3—121no—
638Dic3—121no—
639Dic3—241no—
640Dic3—241no—
641C32#312011yescharacteristic, complemented, Sylow
642C23—31no—
643C23—61no—
644Q8—21no—
645Q8—61no—
646Q8—61no—
647Q8—61no—
648Q8—61no—
649Q8#379512yes—
650D4—32no—
651D4—64no—
652D4—61no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—31no—
656C2×C4—31no—
657C2×C4—31no—
658C2×C4—64no—
659C2×C4—61no—
660C2×C4—61no—
661C2×C4—61no—
662C2×C4—61no—
663C2×C4—61no—
664C2×C4—181no—
665C2×C4—181no—
666C2×C4—241no—
667C2×C4—241no—
668C2×C4—241no—
669C2×C4D3×#6711yescharacteristic
670C2×C4D3×#6711yescharacteristic
671C2×C4C22×D3211yescharacteristic
672C8—61no—
673C8—61no—
674C8—181no—
675C8—181no—
676C2×C3—21no—
677C2×C3—21no—
678C2×C3—21no—
679C2×C3—121no—
680C2×C3—122no—
681C2×C3#560611yescharacteristic
682C2×C3#576611yescharacteristic
683C2×C3#577811yescharacteristic
684C2×C3#579111yescharacteristic
685C2×C3#583611yescharacteristic
686C2×C3#583811yescharacteristic
687D3—41no—
688D3—42no—
689C22—62no—
690C22—61no—
691C22—61no—
692C22—61no—
693C22—121no—
694C22—121no—
695C22C2×D3×#6711yescharacteristic
696C4—22no—
697C4—21no—
698C4—21no—
699C4—41no—
700C4—61no—
701C4—61no—
702C4—61no—
703C4—121no—
704C4—121no—
705C4—121no—
706C4—361no—
707C4—361no—
708C4C2×#379511yescharacteristic
709C4D3×#23511yescharacteristic
710C3—21no—
711C3#8046011yescharacteristic, complemented
712C3#8257511yescharacteristic, complemented
713C2—121no—
714C2—122no—
715C2#1059489211yescharacteristic
716C2#1059532711yescharacteristic
717C2#1059546411yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×Q8C22
socleC22×C32C22×D4
prime radicalC2×C3×#239C22
hypercenterC4×Q8D32
hypocenterC32#3120
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
2. #10593862C2semidirect
3. #10592721C2semidirect
4. C3×#5031C2semidirect
7. #10591576C2semidirect
8. Dic3×#216C2semidirect
9. #10590517C2semidirect
10. #10590516C2semidirect
11. #10590478C2semidirect
12. #10590475C2semidirect
13. #10590363C2semidirect
14. #10590271C2semidirect
15. #10590253C2semidirect
73. #5031D3semidirect
641. C32#3120semidirect
711. C3#80460semidirect
712. C3#82575semidirect

Maximal subgroups

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

subgroupindex
C3×#55742
#105938622
#105927212
C3×#50312
#105915972
#105915762
Dic3×#2162
#105905172
#105905162
#105904782
#105904752
#105903632
#105902712
#105902532
#825753
#804603