Finite Group Databasebeta

← #11872458

Subgroups — #11872458

Order 1152.

795 conjugacy classes of subgroups.

The subgroup lattice has 723 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5546C211yesmaximal, characteristic
2#10593862C211yesmaximal, characteristic, complemented
3#10592708C211yesmaximal, characteristic, complemented
4C3×#5019C211yesmaximal, characteristic, complemented
5#10591461C211yesmaximal, characteristic
6#10591461C211yesmaximal, characteristic
7#10591440C211yesmaximal, characteristic, complemented
8Dic3×#214C211yesmaximal, characteristic, complemented
9#10590517C211yesmaximal, characteristic, complemented
10#10590516C211yesmaximal, characteristic, complemented
11#10590477C211yesmaximal, characteristic, complemented
12#10590476C211yesmaximal, characteristic, complemented
13#10590384C211yesmaximal, characteristic, complemented
14#10590302C211yesmaximal, characteristic, complemented
15#10590253C211yesmaximal, characteristic, complemented
16#82575—31nomaximal
17#80412—31nomaximal
18C2×C3×#237C2211yescharacteristic
19C32×C4×D4C2211yescharacteristic
20#64079C2211yescharacteristic
21C3×D4×Dic3C2211yescharacteristic
22C2×C3×#214C2211yescharacteristic
23C2×C3×#214C2211yescharacteristic
24C3×C4×#67—21no—
25C2×C3×Dic3⋊C4—21no—
26C3×D3×C4⋊C4C2211yescharacteristic
27C3×#887C2211yescharacteristic
28C3×#67⋊C4—21no—
29C3×#877—21no—
30C3×#872C2211yescharacteristic
31C3×#869C2211yescharacteristic
32C3×C4×Dic6C2211yescharacteristic
33#63858—21no—
34#63858—21no—
35#63856C2211yescharacteristic
36#63856C2211yescharacteristic
37#63847—21no—
38#63847—21no—
39Dic3×Dic6C2211yescharacteristic
40Dic3×Dic6C2211yescharacteristic
41C2×#3718C2211yescharacteristic
42C2×#3718C2211yescharacteristic
43#63659C2211yescharacteristic
44#63659C2211yescharacteristic
45#63635C2211yescharacteristic
46#63634C2211yescharacteristic
47C4⋊(C3⋊(C3⋊C8))C2211yescharacteristic
48C3×#810C2211yescharacteristic
49C3×#810C2211yescharacteristic
50C3×C4⋊(C3⋊C8)C2211yescharacteristic
51#63575C2211yescharacteristic
52#63573C2211yescharacteristic
53#63566C2211yescharacteristic
54#63566C2211yescharacteristic
55#63565C2211yescharacteristic
56#63565C2211yescharacteristic
57(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
58(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
59#63554C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#520—31no—
62#5731—31no—
63#5546D311yescharacteristic
64#5518—31no—
65C3×#461—31no—
66#5239—31no—
67#5239—31no—
68#5173—31no—
69#5173—31no—
70#5164—31no—
71Dic3×SD16—31no—
72#5090—31no—
73#5031—31no—
74#5030—31no—
75C4×#216—31no—
76#5022—31no—
77#5019D311yescharacteristic, complemented
78#5018—31no—
79C4×#214—31no—
80#5009—31no—
81#5009—31no—
82#5009—61no—
83#5000—31no—
84#4971—31no—
85#4970—31no—
86#4840—31no—
87#4829—31no—
88#4811—31no—
89#4805—31no—
90#4790—31no—
91#4789—31no—
92C2×C32×D4C2311yescharacteristic
93C22×C32×C4—21no—
94C2×C3×#67—21no—
95C22×C3×Dic3—21no—
96C22×C3×Dic3—21no—
97C3×#237—22no—
98C3×#237—22no—
99C2×C3×C4×D3—21no—
100C2×C3×C4×D3C2311yescharacteristic
101C2×C3×Dic6C2311yescharacteristic
102C2×C3×Dic6C2311yescharacteristic
103C2×C3×Dic6C2311yescharacteristic
104C32×C4⋊C4C2311yescharacteristic
105C32×C22⋊C4—21no—
106C32×C42C2311yescharacteristic
107C4⋊(C3⋊Dic3)C2311yescharacteristic
108C4⋊(C3⋊Dic3)C2311yescharacteristic
109#3750—21no—
110#3750—21no—
111C2×C3⋊(C3⋊C8)C2311yescharacteristic
112C2×C3⋊(C3⋊C8)C2311yescharacteristic
113C3×#217—21no—
114C3×#214—22no—
115C3×#214—22no—
116C3×(C2×D3)⋊C4D411yescharacteristic
117C3×(C2×D3)⋊C4D411yescharacteristic
118C3×C4⋊Dic3—21no—
119C3×C4⋊Dic3—21no—
120C3×C4⋊Dic3C2311yescharacteristic
121C3×Dic3⋊C4—21no—
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4—21no—
124C3×Dic3⋊C4D411yescharacteristic
125C3×Dic3⋊C4D411yescharacteristic
126C3×C4×Dic3—21no—
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#3718—22no—
140#3718—22no—
141#3120—91noSylow
142C2×C3×#41—31no—
143C2×#237C2×D311yescharacteristic
144C2×C3×SD16—31no—
145C2×C3×SD16—31no—
146C3×C4⋊Q8—31no—
147C3×C4×Q8—31no—
148C3×C4×Q8—31no—
149C3×C4×D4—21no—
150C3×C4×D4—31no—
151C3×C4×D4—61no—
152C3×C4×D4—61no—
153C3×C4×D4C2×D311yescharacteristic
154C3×C4×D4C2×D311yescharacteristic
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—
163C2×#216—31no—
164C2×#216—31no—
165C2×#216—31no—
166C2×#216—31no—
167D4×Dic3C2×D311yescharacteristic
168C2×#214C2×D311yescharacteristic
169C2×#214C2×D311yescharacteristic
170C4×#67—21no—
171#924—31no—
172#924—31no—
173C2×Dic3⋊C4—21no—
174#898—61no—
175#898—61no—
176D3×C4⋊C4C2×D311yescharacteristic
177#889—61no—
178#889—61no—
179#889—61no—
180#889—61no—
181#887C2×D311yescharacteristic
182#67⋊C4—21no—
183#879—61no—
184#879—61no—
185#877—21no—
186#872C2×D311yescharacteristic
187#870—31no—
188#870—31no—
189#870—61no—
190#869C2×D311yescharacteristic
191C4×Dic6—31no—
192C4×Dic6—31no—
193C4×Dic6C2×D311yescharacteristic
194C3×C4⋊C8—31no—
195C3×#103—31no—
196C3×#103—31no—
197#835—31no—
198#835—31no—
199#835—31no—
200#835—31no—
201#832—31no—
202#832—31no—
203#832—31no—
204#832—31no—
205#832—61no—
206#832—61no—
207#830—31no—
208#830—31no—
209(C2×D3)⋊C8—31no—
210(C2×D3)⋊C8—31no—
211#818—31no—
212#817—31no—
213#816—31no—
214#816—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—
235C23×C32—21no—
236C22×C3×D3C2×D411yescharacteristic
237C32×D4—21no—
238C32×D4#4112yes—
239C2×C32×C4—21no—
240C2×C32×C4—81no—
241C2×C32×C4C2×D411yescharacteristic
242C2×C32×C4C2×D411yescharacteristic
243C2×C32×C4C2411yescharacteristic
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—21no—
246C3×#67—24no—
247C2×C3×Dic3—24no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—81no—
253C2×C3×Dic3C2×D411yescharacteristic
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C3×C4×D3—21no—
257C3×C4×D3—21no—
258C3×C4×D3—81no—
259C3×Dic6—21no—
260C3×Dic6—21no—
261C3×Dic6—21no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6#4112yes—
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—91no—
276#461—31no—
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—31no—
287C2×C3×Q8—31no—
288C2×C3×Q8—31no—
289C2×C3×D4—21no—
290C2×C3×D4—61no—
291C2×C3×D4C22×D311yescharacteristic
292C2×C3×D4C22×D311yescharacteristic
293C22×C3×C4—21no—
294C22×C3×C4—21no—
295C22×C3×C4—31no—
296C22×C3×C4—41no—
297C22×C3×C4—61no—
298C22×C3×C4—61no—
299C22×C3×C4—61no—
300C2×#67—21no—
301C22×Dic3—21no—
302C22×Dic3—21no—
303#237—22no—
304#237—22no—
305C2×C4×D3—21no—
306C2×C4×D3C22×D311yescharacteristic
307C2×Dic6C22×D311yescharacteristic
308C2×Dic6C22×D311yescharacteristic
309C2×Dic6C22×D311yescharacteristic
310C3×SD16—62no—
311C3×SD16—62no—
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—61no—
319C3×C4⋊C4—61no—
320C3×C4⋊C4—61no—
321C3×C4⋊C4—61no—
322C3×C4⋊C4—61no—
323C3×C4⋊C4C22×D311yescharacteristic
324C3×C4⋊C4C22×D311yescharacteristic
325C3×C22⋊C4—21no—
326C3×C22⋊C4—21no—
327C3×C22⋊C4—31no—
328C3×C22⋊C4—31no—
329C3×C22⋊C4—41no—
330C3×C22⋊C4—61no—
331C3×C42—21no—
332C3×C42—31no—
333C3×C42—61no—
334C3×C42—61no—
335C3×C42C22×D311yescharacteristic
336C3×C42C22×D311yescharacteristic
337#217—21no—
338#217—61no—
339#217—61no—
340#216—62no—
341#216—62no—
342#216—62no—
343#216—62no—
344#214—22no—
345#214—22no—
346(C2×D3)⋊C4—61no—
347(C2×D3)⋊C4—61no—
348(C2×D3)⋊C4#6711yescharacteristic
349(C2×D3)⋊C4#6711yescharacteristic
350C4⋊Dic3—21no—
351C4⋊Dic3—21no—
352C4⋊Dic3—31no—
353C4⋊Dic3—31no—
354C4⋊Dic3—31no—
355C4⋊Dic3—31no—
356C4⋊Dic3—61no—
357C4⋊Dic3—61no—
358C4⋊Dic3—61no—
359C4⋊Dic3—61no—
360C4⋊Dic3C22×D311yescharacteristic
361Dic3⋊C4—21no—
362Dic3⋊C4—21no—
363Dic3⋊C4—21no—
364Dic3⋊C4—61no—
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—121no—
375Dic3⋊C4—121no—
376Dic3⋊C4#6711yescharacteristic
377Dic3⋊C4#6711yescharacteristic
378C4×Dic3—21no—
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×C32—22no—
394C22×C32—41no—
395C22×C32—41no—
396C22×C32C22×D411yescharacteristic
397C2×C3×D3—21no—
398C2×C3×D3—21no—
399C2×C3×D3—21no—
400C32×C4—21no—
401C32×C4—21no—
402C32×C4—41no—
403C32×C4C2×#4111yescharacteristic
404C32×C4C2×#4111yescharacteristic
405C3⋊Dic3—41no—
406C3⋊Dic3—41no—
407C3×Dic3—22no—
408C3×Dic3—21no—
409C3×Dic3—21no—
410C3×Dic3—21no—
411C3×Dic3—41no—
412C3×Dic3—41no—
413C3×Dic3—41no—
414C2×#41—31no—
415C2×Q16—91no—
416C2×Q16—91no—
417C2×SD16—31no—
418C2×SD16—31no—
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—31no—
429C4×Q8—91no—
430C4×Q8—91no—
431C4×D4—31no—
432C4×D4—61no—
433C4×D4—61no—
434C4×D4D3211yescharacteristic
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—21no—
458C23×C3—21no—
459C23×C3—31no—
460C23×C3—41no—
461C22×D3C2×#6711yescharacteristic
462C3×Q8—32no—
463C3×Q8—61no—
464C3×Q8—61no—
465C3×Q8—61no—
466C3×Q8—61no—
467C3×Q8—61no—
468C3×D4—21no—
469C3×D4—21no—
470C3×D4—22no—
471C3×D4—41no—
472C3×D4—64no—
473C3×D4#23512yes—
474C3×D4#23712yes—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
477C2×C3×C4—21no—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—31no—
481C2×C3×C4—31no—
482C2×C3×C4—31no—
483C2×C3×C4—41no—
484C2×C3×C4—64no—
485C2×C3×C4—61no—
486C2×C3×C4—61no—
487C2×C3×C4—61no—
488C2×C3×C4—61no—
489C2×C3×C4—61no—
490C2×C3×C4—61no—
491C2×C3×C4—81no—
492C2×C3×C4—81no—
493C2×C3×C4—82no—
494C2×C3×C4—241no—
495C2×C3×C4—241no—
496C2×C3×C4D3×D411yescharacteristic
497C2×C3×C4D3×D411yescharacteristic
498C2×C3×C4C2×#6711yescharacteristic
499C2×C3×C4C2×#6711yescharacteristic
500C2×C3×C4C23×D311yescharacteristic
501C2×C3×C4C23×D311yescharacteristic
502#67—24no—
503C2×Dic3—24no—
504C2×Dic3—21no—
505C2×Dic3—21no—
506C2×Dic3—21no—
507C2×Dic3—21no—
508C2×Dic3—61no—
509C2×Dic3—61no—
510C2×Dic3—61no—
511C2×Dic3—61no—
512C2×Dic3—81no—
513C2×Dic3—121no—
514C2×Dic3—121no—
515C2×Dic3C2×#6711yescharacteristic
516C2×Dic3C2×#6711yescharacteristic
517C2×Dic3C2×#6711yescharacteristic
518C4×D3—21no—
519C4×D3—21no—
520C4×D3—81no—
521Dic6—21no—
522Dic6—21no—
523Dic6—21no—
524Dic6—21no—
525Dic6—21no—
526Dic6#23512yes—
527C3×C8—61no—
528C3×C8—61no—
529C3⋊C8—21no—
530C3⋊C8—21no—
531C3⋊C8—61no—
532C3⋊C8—61no—
533C3⋊C8—61no—
534C3⋊C8—61no—
535C3⋊C8—121no—
536C3⋊C8—121no—
537C2×C32—42no—
538C2×C32#52511yescharacteristic
539C2×C32#57711yescharacteristic
540C2×C32#57811yescharacteristic
541C3×D3—41no—
542#41—62no—
543#41—62no—
544C2×Q8—31no—
545C2×Q8—31no—
546C2×Q8—31no—
547C2×D4—61no—
548C2×D4C2×D3211yescharacteristic
549C22×C4—21no—
550C22×C4—31no—
551C22×C4—61no—
552C22×C4—61no—
553C22×C4—61no—
554Q16—182no—
555Q16—182no—
556SD16—62no—
557SD16—62no—
558C2×C8—31no—
559C2×C8—31no—
560C2×C8—91no—
561C2×C8—91no—
562C4⋊C4—31no—
563C4⋊C4—31no—
564C4⋊C4—31no—
565C4⋊C4—61no—
566C4⋊C4—61no—
567C4⋊C4—61no—
568C4⋊C4—61no—
569C4⋊C4—61no—
570C4⋊C4—91no—
571C4⋊C4—91no—
572C4⋊C4—181no—
573C4⋊C4—181no—
574C4⋊C4—181no—
575C4⋊C4—181no—
576C4⋊C4—181no—
577C4⋊C4—181no—
578C4⋊C4C2×D3211yescharacteristic
579C22⋊C4—21no—
580C22⋊C4—31no—
581C22⋊C4—31no—
582C22⋊C4—61no—
583C22⋊C4—181no—
584C22⋊C4—181no—
585C42—31no—
586C42—61no—
587C42—61no—
588C42—181no—
589C42—181no—
590C42C2×D3211yescharacteristic
591C22×C3—22no—
592C22×C3—22no—
593C22×C3—21no—
594C22×C3—42no—
595C22×C3—41no—
596C22×C3—41no—
597C22×C3—41no—
598C22×C3—41no—
599C22×C3—61no—
600C22×C3—61no—
601C22×C3—61no—
602C22×C3—81no—
603C22×C3—81no—
604C22×C3C2×D3×D411yescharacteristic
605C22×C3C22×#6711yescharacteristic
606C2×D3—21no—
607C2×D3—21no—
608C2×D3—21no—
609C3×C4—21no—
610C3×C4—21no—
611C3×C4—21no—
612C3×C4—21no—
613C3×C4—21no—
614C3×C4—21no—
615C3×C4—41no—
616C3×C4—41no—
617C3×C4—41no—
618C3×C4—41no—
619C3×C4—61no—
620C3×C4—61no—
621C3×C4—61no—
622C3×C4—62no—
623C3×C4—81no—
624C3×C4—121no—
625C3×C4—121no—
626C3×C4—121no—
627C3×C4C2×#23511yescharacteristic
628C3×C4C2×#23511yescharacteristic
629C3×C4C2×#23711yescharacteristic
630C3×C4D3×#4111yescharacteristic
631Dic3—22no—
632Dic3—21no—
633Dic3—21no—
634Dic3—21no—
635Dic3—41no—
636Dic3—41no—
637Dic3—41no—
638Dic3—121no—
639Dic3—121no—
640Dic3—121no—
641Dic3—121no—
642Dic3—241no—
643Dic3—241no—
644C32#312011yescharacteristic, complemented, Sylow
645C23—21no—
646C23—31no—
647Q8—32no—
648Q8—61no—
649Q8—61no—
650Q8—61no—
651Q8—61no—
652Q8—61no—
653D4—21no—
654D4—64no—
655D4#379512yes—
656C2×C4—21no—
657C2×C4—31no—
658C2×C4—31no—
659C2×C4—31no—
660C2×C4—64no—
661C2×C4—61no—
662C2×C4—61no—
663C2×C4—61no—
664C2×C4—61no—
665C2×C4—61no—
666C2×C4—61no—
667C2×C4—81no—
668C2×C4—181no—
669C2×C4—181no—
670C2×C4—241no—
671C2×C4—241no—
672C2×C4D3×#6711yescharacteristic
673C2×C4D3×#6711yescharacteristic
674C2×C4C22×D3211yescharacteristic
675C8—61no—
676C8—61no—
677C8—181no—
678C8—181no—
679C2×C3—21no—
680C2×C3—21no—
681C2×C3—21no—
682C2×C3—42no—
683C2×C3—42no—
684C2×C3—82no—
685C2×C3—121no—
686C2×C3#560611yescharacteristic
687C2×C3#576211yescharacteristic
688C2×C3#577911yescharacteristic
689C2×C3#579111yescharacteristic
690C2×C3#583611yescharacteristic
691C2×C3#583811yescharacteristic
692D3—41no—
693C22—22no—
694C22—41no—
695C22—41no—
696C22—61no—
697C22—61no—
698C22—61no—
699C22C2×D3×#6711yescharacteristic
700C4—21no—
701C4—21no—
702C4—41no—
703C4—61no—
704C4—61no—
705C4—62no—
706C4—61no—
707C4—121no—
708C4—121no—
709C4—121no—
710C4—361no—
711C4—361no—
712C4C2×#379511yescharacteristic
713C4D3×#23511yescharacteristic
714C3—21no—
715C3#8041211yescharacteristic, complemented
716C3#8257511yescharacteristic, complemented
717C2—42no—
718C2—121no—
719C2#1059489211yescharacteristic
720C2#1059510511yescharacteristic
721C2#1059546511yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C4×D4C22
socleC22×C32C22×D4
prime radicalC2×C3×#237C22
hypercenterC4×D4D32
hypocenterC32#3120
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
2. #10593862C2semidirect
3. #10592708C2semidirect
4. C3×#5019C2semidirect
7. #10591440C2semidirect
8. Dic3×#214C2semidirect
9. #10590517C2semidirect
10. #10590516C2semidirect
11. #10590477C2semidirect
12. #10590476C2semidirect
13. #10590384C2semidirect
14. #10590302C2semidirect
15. #10590253C2semidirect
77. #5019D3semidirect
644. C32#3120semidirect
715. C3#80412semidirect
716. C3#82575semidirect

Maximal subgroups

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

subgroupindex
C3×#55462
#105938622
#105927082
C3×#50192
#105914612
#105914402
Dic3×#2142
#105905172
#105905162
#105904772
#105904762
#105903842
#105903022
#105902532
#825753
#804123