Finite Group Databasebeta

← #11872971

Subgroups — #11872971

Order 1152.

816 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595394C211yesmaximal, characteristic, complemented
2#10594592C211yesmaximal, characteristic, complemented
3#10592492C211yesmaximal, characteristic, complemented
4C3×#4817C211yesmaximal, characteristic, complemented
5C3×#4808C211yesmaximal, characteristic, complemented
6#10591612C211yesmaximal, characteristic, complemented
7#10591586C211yesmaximal, characteristic
8Dic3×#216C211yesmaximal, characteristic, complemented
9#10590766C211yesmaximal, characteristic, complemented
10#10590750C211yesmaximal, characteristic, complemented
11#10590697C211yesmaximal, characteristic, complemented
12#10590680C211yesmaximal, characteristic, complemented
13#10590471C211yesmaximal, characteristic, complemented
14#10590452C211yesmaximal, characteristic, complemented
15#10590440C211yesmaximal, characteristic, complemented
16#80218—31nomaximal
17#79813—31nomaximal
18C2×C3×#239C2211yescharacteristic
19Q8×C3⋊Dic3C2211yescharacteristic
20#64097C2211yescharacteristic
21C3×Q8×Dic3C2211yescharacteristic
22C2×C3×#216C2211yescharacteristic
23C2×C3×#215C2211yescharacteristic
24C2×C3×#204C2211yescharacteristic
25C3×#897C2211yescharacteristic
26C3×#893C2211yescharacteristic
27#63913—21no—
28#63908C2211yescharacteristic
29#63905—21no—
30#63898—21no—
31#63898C2211yescharacteristic
32Dic3×D12—21no—
33Dic3×D12C2211yescharacteristic
34D3×C4⋊Dic3—21no—
35D3×C4⋊Dic3C2211yescharacteristic
36#63863C2211yescharacteristic
37#63858—21no—
38#63857—21no—
39#63855—21no—
40#63855C2211yescharacteristic
41Dic3×Dic6C2211yescharacteristic
42C2×#3713C2211yescharacteristic
43C32×#103C2211yescharacteristic
44#63662C2211yescharacteristic
45#63645C2211yescharacteristic
46#63641C2211yescharacteristic
47#63634C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×#815C2211yescharacteristic
51C3×#809C2211yescharacteristic
52C3×#807C2211yescharacteristic
53#63575C2211yescharacteristic
54#63572C2211yescharacteristic
55#63566C2211yescharacteristic
56#63565C2211yescharacteristic
57#63563C2211yescharacteristic
58#63563C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61#5827—31no—
62#5643—31no—
63#5574—31no—
64#5561—31no—
65C3×#452—31no—
66C3×#440—31no—
67#5238—31no—
68#5185—31no—
69Dic3×Q16—31no—
70#5172—31no—
71#5166—31no—
72#5165—31no—
73#5164—31no—
74#5044—31no—
75C4×#216—31no—
76C4×#213—31no—
77#4890—31no—
78#4884—31no—
79#4817D311yescharacteristic, complemented
80#4808D311yescharacteristic, complemented
81#4793—31no—
82#4793—31no—
83#4793—61no—
84#4787—31no—
85#4774—31no—
86#4759—31no—
87#4756—31no—
88#4736—31no—
89#4720—31no—
90#4710—31no—
91#4709—31no—
92C2×C32×Q8C2311yescharacteristic
93C2×#634—21no—
94C3×#239—22no—
95C3×#239—22no—
96C2×C3×D12—21no—
97C2×C3×D12C2311yescharacteristic
98C2×C3×D12C2311yescharacteristic
99C2×C3×C4×D3—21no—
100C2×C3×C4×D3—21no—
101C2×C3×C4×D3C2311yescharacteristic
102C2×C3×Dic6C2311yescharacteristic
103C2×#625—21no—
104C2×D3×Dic3—21no—
105C2×D3×Dic3—21no—
106C2×D3×Dic3—21no—
107C2×C32×C8C2311yescharacteristic
108C32×C4⋊C4C2311yescharacteristic
109C4⋊(C3⋊Dic3)—21no—
110C4⋊(C3⋊Dic3)C2311yescharacteristic
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112#3750—21no—
113C4×C3⋊Dic3—21no—
114C4×C3⋊Dic3C2311yescharacteristic
115C2×C3⋊(C3⋊C8)C2311yescharacteristic
116C3×#216—22no—
117C3×#215—22no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3—21no—
122C3×C4⋊Dic3C2311yescharacteristic
123C3×C4×Dic3—21no—
124C3×C4×Dic3C2311yescharacteristic
125C2×C3×C3⋊C8C2311yescharacteristic
126C2×C3×C3⋊C8C2311yescharacteristic
127C3×#204—22no—
128Dic3⋊Dic3—21no—
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3D411yescharacteristic
131Dic3⋊Dic3D411yescharacteristic
132(C2×D3)⋊Dic3—21no—
133(C2×D3)⋊Dic3—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3D411yescharacteristic
138(C2×D3)⋊Dic3D411yescharacteristic
139Dic32—21no—
140#3713—22no—
141#3124—91noSylow
142C2×C3×#41—31no—
143C2×#239C2×D311yescharacteristic
144C2×C3×Q16—31no—
145C2×C3×SD16—31no—
146C2×C3×SD16—31no—
147C3×C22⋊Q8—31no—
148C3×C4×Q8—31no—
149C3×C4×D4—31no—
150#947—31no—
151Q8×Dic3—31no—
152Q8×Dic3—31no—
153Q8×Dic3—31no—
154Q8×Dic3—61no—
155Q8×Dic3C2×D311yescharacteristic
156C2×#216C2×D311yescharacteristic
157C2×#215C2×D311yescharacteristic
158#938—31no—
159#936—31no—
160D4×Dic3—31no—
161D4×Dic3—31no—
162D4×Dic3—61no—
163D4×Dic3—61no—
164C2×#213—31no—
165C2×#213—31no—
166#930—31no—
167#929—61no—
168#926—31no—
169#926—61no—
170C2×C4⋊Dic3—31no—
171C2×C4⋊Dic3—61no—
172#924—61no—
173C2×#204C2×D311yescharacteristic
174#898—61no—
175#897—61no—
176#897C2×D311yescharacteristic
177#893—31no—
178#893—61no—
179#893C2×D311yescharacteristic
180D3×C4⋊C4—31no—
181D3×C4⋊C4—61no—
182#888—31no—
183#888—31no—
184#888—61no—
185#885—61no—
186#885—61no—
187#883—61no—
188#879—61no—
189C4×D12—31no—
190C4×D12—61no—
191#872—31no—
192#872—61no—
193C4×Dic6—31no—
194C3×#107—31no—
195C3×#103—21no—
196C3×#103C2×D311yescharacteristic
197C3×#103C2×D311yescharacteristic
198C3×#102—31no—
199C3×#102—31no—
200C3×C22⋊C8—31no—
201C3×#97—31no—
202#835—31no—
203#835—31no—
204#835—31no—
205#835—31no—
206#835—61no—
207#832—31no—
208#832—31no—
209#830—31no—
210#821—31no—
211#821—31no—
212#821C2×D311yescharacteristic
213(C2×D3)⋊C8—31no—
214(C2×D3)⋊C8C2×D311yescharacteristic
215#818—31no—
216#818—31no—
217#818—31no—
218#818—61no—
219#816—31no—
220#815C2×D311yescharacteristic
221Dic3⋊C8—31no—
222Dic3⋊C8—31no—
223Dic3⋊C8—31no—
224Dic3⋊C8—31no—
225Dic3⋊C8—61no—
226C8×Dic3—31no—
227#810—31no—
228#809C2×D311yescharacteristic
229#807—31no—
230#807—31no—
231#807—31no—
232#807—61no—
233#807C2×D311yescharacteristic
234C4×C3⋊C8—31no—
235C22×C3×D3—21no—
236C22×C3×D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C32×Q8—21no—
239C32×Q8#4112yes—
240C2×C32×C4—21no—
241C2×C32×C4—21no—
242C2×C32×C4C2411yescharacteristic
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3C2×D411yescharacteristic
246C2×C3⋊Dic3C2×D411yescharacteristic
247#634—81no—
248C2×C3×Dic3—21no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3C2×D411yescharacteristic
251C2×C3×Dic3C2×D411yescharacteristic
252C2×C3×Dic3C2×D411yescharacteristic
253C3×D12—24no—
254C3×D12—21no—
255C3×D12—21no—
256C3×D12—21no—
257C3×D12#4112yes—
258C3×C4×D3—24no—
259C3×C4×D3—21no—
260C3×C4×D3—21no—
261C3×C4×D3—81no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264#625—81no—
265D3×Dic3—81no—
266D3×Dic3—81no—
267D3×Dic3—81no—
268C32×C8—21no—
269C3⋊(C3⋊C8)—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#542—91no—
273#520—91no—
274#484—91no—
275#480—91no—
276#477—91no—
277#474—91no—
278#464—91no—
279#463—91no—
280#452—31no—
281#449—91no—
282#440—31no—
283#440—91no—
284C4×Q16—91no—
285C4×D8—91no—
286#433—91no—
287C3×#41—62no—
288C3×#41—62no—
289C2×C3×Q8—21no—
290C2×C3×Q8—31no—
291C2×C3×Q8C22×D311yescharacteristic
292C2×C3×Q8C22×D311yescharacteristic
293C2×C3×D4—31no—
294C2×C3×D4—31no—
295C2×C3×D4—61no—
296C22×C3×C4—31no—
297C22×C3×C4—61no—
298C22×C3×C4—61no—
299C2×#67—61no—
300C2×#67—61no—
301C22×Dic3—61no—
302C22×Dic3—61no—
303C22×Dic3—61no—
304#239—22no—
305#239—22no—
306C2×D12—21no—
307C2×D12C22×D311yescharacteristic
308C2×D12C22×D311yescharacteristic
309C2×C4×D3—21no—
310C2×C4×D3—21no—
311C2×C4×D3—61no—
312C2×C4×D3—61no—
313C2×C4×D3—61no—
314C2×C4×D3C22×D311yescharacteristic
315C2×Dic6—61no—
316C2×Dic6—61no—
317C2×Dic6—121no—
318C2×Dic6C22×D311yescharacteristic
319C3×Q16—62no—
320C3×SD16—62no—
321C3×SD16—62no—
322C2×C3×C8—21no—
323C2×C3×C8—31no—
324C2×C3×C8—31no—
325C2×C3×C8C22×D311yescharacteristic
326C2×C3×C8C22×D311yescharacteristic
327C3×C4⋊C4—21no—
328C3×C4⋊C4—31no—
329C3×C4⋊C4—61no—
330C3×C4⋊C4—61no—
331C3×C4⋊C4C22×D311yescharacteristic
332C3×C4⋊C4C22×D311yescharacteristic
333C3×C22⋊C4—61no—
334C3×C22⋊C4—61no—
335C3×C42—31no—
336C3×C42—61no—
337#217—31no—
338#217—31no—
339#217—61no—
340#217—61no—
341#217—61no—
342#217—61no—
343#217—61no—
344#216—22no—
345#215—22no—
346#213—62no—
347#213—62no—
348(C2×D3)⋊C4—21no—
349(C2×D3)⋊C4—21no—
350(C2×D3)⋊C4—31no—
351(C2×D3)⋊C4—31no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357C4⋊Dic3—21no—
358C4⋊Dic3—21no—
359C4⋊Dic3—31no—
360C4⋊Dic3—31no—
361C4⋊Dic3—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—31no—
364C4⋊Dic3—31no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—121no—
372C4⋊Dic3C22×D311yescharacteristic
373Dic3⋊C4—31no—
374Dic3⋊C4—31no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—121no—
380C4×Dic3—21no—
381C4×Dic3—31no—
382C4×Dic3—31no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3—121no—
389C4×Dic3C22×D311yescharacteristic
390C2×C3⋊C8—31no—
391C2×C3⋊C8—31no—
392C2×C3⋊C8—61no—
393C2×C3⋊C8C22×D311yescharacteristic
394C2×C3⋊C8C22×D311yescharacteristic
395#204—22no—
396C22×C32C22×D411yescharacteristic
397C2×C3×D3—21no—
398C2×C3×D3—22no—
399C2×C3×D3—21no—
400C2×C3×D3—21no—
401C2×C3×D3—41no—
402C2×C3×D3—41no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C32×C4—22no—
407C32×C4—41no—
408C32×C4C2×#4111yescharacteristic
409C32×C4C2×#4111yescharacteristic
410C3⋊Dic3—21no—
411C3⋊Dic3—21no—
412C3⋊Dic3—41no—
413C3⋊Dic3—41no—
414C3×Dic3—21no—
415C3×Dic3—21no—
416C3×Dic3—21no—
417C3×Dic3—41no—
418C3×Dic3—41no—
419C2×#41—31no—
420C2×Q16—31no—
421C2×SD16—31no—
422C2×SD16—31no—
423C2×D8—91no—
424C4⋊Q8—91no—
425#126—181no—
426#124—91no—
427#124—181no—
428#123—181no—
429C22⋊Q8—31no—
430C22⋊Q8—181no—
431#121—91no—
432C4×Q8—31no—
433C4×Q8—91no—
434C4×Q8—91no—
435C4×D4—31no—
436C4×D4—91no—
437C4×D4—91no—
438C4×D4—181no—
439C4×D4—181no—
440#117—91no—
441#117—181no—
442C2×C4⋊C4—91no—
443C2×C4⋊C4—181no—
444#107—31no—
445#107—91no—
446#107—91no—
447#107—91no—
448C4⋊C8—91no—
449C4⋊C8—91no—
450#103—91no—
451#103—91no—
452#103—91no—
453#103D3211yescharacteristic
454#102—31no—
455#102—31no—
456#102—91no—
457#102—91no—
458C22⋊C8—31no—
459C22⋊C8—91no—
460#97—31no—
461C4×C8—91no—
462C23×C3—31no—
463C23×C3—61no—
464C23×C3—61no—
465C22×D3—21no—
466C22×D3—21no—
467C22×D3D3×D411yescharacteristic
468C3×Q8—21no—
469C3×Q8—21no—
470C3×Q8—22no—
471C3×Q8—41no—
472C3×Q8—61no—
473C3×Q8—61no—
474C3×Q8#23512yes—
475C3×Q8#23712yes—
476C3×D4—32no—
477C3×D4—64no—
478C3×D4—61no—
479C3×D4—61no—
480C3×D4—61no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—31no—
487C2×C3×C4—31no—
488C2×C3×C4—31no—
489C2×C3×C4—41no—
490C2×C3×C4—41no—
491C2×C3×C4—64no—
492C2×C3×C4—61no—
493C2×C3×C4—61no—
494C2×C3×C4—61no—
495C2×C3×C4—61no—
496C2×C3×C4—241no—
497C2×C3×C4C23×D311yescharacteristic
498C2×C3×C4C23×D311yescharacteristic
499#67—241no—
500#67—241no—
501C2×Dic3—21no—
502C2×Dic3—21no—
503C2×Dic3—31no—
504C2×Dic3—31no—
505C2×Dic3—31no—
506C2×Dic3—31no—
507C2×Dic3—61no—
508C2×Dic3—61no—
509C2×Dic3—61no—
510C2×Dic3—61no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—121no—
514C2×Dic3—121no—
515C2×Dic3—241no—
516C2×Dic3—241no—
517C2×Dic3—241no—
518C2×Dic3D3×D411yescharacteristic
519C2×Dic3D3×D411yescharacteristic
520C2×Dic3D3×D411yescharacteristic
521D12—24no—
522D12—21no—
523D12—21no—
524D12—21no—
525D12#23712yes—
526C4×D3—24no—
527C4×D3—21no—
528C4×D3—21no—
529C4×D3—81no—
530C4×D3—241no—
531C4×D3—241no—
532C4×D3—241no—
533Dic6—21no—
534Dic6—21no—
535Dic6—241no—
536Dic6—241no—
537Dic6—242no—
538C3×C8—21no—
539C3×C8—21no—
540C3×C8—41no—
541C3×C8—61no—
542C3×C8—61no—
543C3⋊C8—21no—
544C3⋊C8—21no—
545C3⋊C8—61no—
546C3⋊C8—61no—
547C3⋊C8—121no—
548C2×C32#52511yescharacteristic
549C2×C32#57611yescharacteristic
550C2×C32#57811yescharacteristic
551C3×D3—41no—
552C3×D3—42no—
553C3×D3—81no—
554#41—62no—
555#41—62no—
556C2×Q8—31no—
557C2×Q8—181no—
558C2×Q8C2×D3211yescharacteristic
559C2×D4—31no—
560C2×D4—31no—
561C2×D4—61no—
562C2×D4—181no—
563C22×C4—31no—
564C22×C4—61no—
565C22×C4—61no—
566C22×C4—181no—
567C22×C4—181no—
568C22×C4—181no—
569Q16—62no—
570SD16—62no—
571SD16—62no—
572D8—182no—
573C2×C8—31no—
574C2×C8—31no—
575C2×C8—91no—
576C2×C8C2×D3211yescharacteristic
577C4⋊C4—31no—
578C4⋊C4—61no—
579C4⋊C4—61no—
580C4⋊C4—91no—
581C4⋊C4—91no—
582C4⋊C4—91no—
583C4⋊C4—91no—
584C4⋊C4—181no—
585C4⋊C4—181no—
586C4⋊C4—181no—
587C4⋊C4—181no—
588C4⋊C4C2×D3211yescharacteristic
589C22⋊C4—61no—
590C22⋊C4—61no—
591C22⋊C4—91no—
592C22⋊C4—91no—
593C22⋊C4—181no—
594C22⋊C4—181no—
595C22⋊C4—181no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C42—31no—
599C42—61no—
600C42—91no—
601C42—181no—
602C42—181no—
603C22×C3—21no—
604C22×C3—61no—
605C22×C3—61no—
606C22×C3—62no—
607C22×C3—61no—
608C22×C3—121no—
609C22×C3—121no—
610C22×C3—121no—
611C22×C3—121no—
612C22×C3—121no—
613C22×C3C2×D3×D411yescharacteristic
614C22×C3C2×D3×D411yescharacteristic
615C2×D3—21no—
616C2×D3—21no—
617C2×D3—21no—
618C2×D3—22no—
619C2×D3—41no—
620C2×D3—41no—
621C2×D3—41no—
622C2×D3—41no—
623C2×D3—41no—
624C3×C4—22no—
625C3×C4—22no—
626C3×C4—21no—
627C3×C4—21no—
628C3×C4—42no—
629C3×C4—41no—
630C3×C4—41no—
631C3×C4—61no—
632C3×C4—61no—
633C3×C4—61no—
634C3×C4—81no—
635C3×C4—121no—
636C3×C4—121no—
637C3×C4C2×#23511yescharacteristic
638C3×C4C2×#23711yescharacteristic
639C3×C4C2×#23711yescharacteristic
640C3×C4D3×#4111yescharacteristic
641Dic3—21no—
642Dic3—21no—
643Dic3—21no—
644Dic3—41no—
645Dic3—41no—
646Dic3—62no—
647Dic3—61no—
648Dic3—61no—
649Dic3—61no—
650Dic3—61no—
651Dic3—121no—
652Dic3—121no—
653Dic3—121no—
654Dic3—121no—
655Dic3—121no—
656Dic3—241no—
657Dic3—241no—
658C32#312411yescharacteristic, complemented, Sylow
659C23—31no—
660C23—61no—
661C23—61no—
662Q8—21no—
663Q8—61no—
664Q8—61no—
665Q8—721no—
666Q8#379512yes—
667D4—32no—
668D4—64no—
669D4—61no—
670D4—61no—
671D4—61no—
672D4—721no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—31no—
676C2×C4—31no—
677C2×C4—31no—
678C2×C4—64no—
679C2×C4—61no—
680C2×C4—61no—
681C2×C4—61no—
682C2×C4—61no—
683C2×C4—91no—
684C2×C4—91no—
685C2×C4—181no—
686C2×C4—181no—
687C2×C4—241no—
688C2×C4—721no—
689C2×C4—721no—
690C2×C4—721no—
691C2×C4C22×D3211yescharacteristic
692C8—21no—
693C8—61no—
694C8—61no—
695C8—181no—
696C2×C3—21no—
697C2×C3—21no—
698C2×C3—21no—
699C2×C3—121no—
700C2×C3—122no—
701C2×C3—241no—
702C2×C3#554711yescharacteristic
703C2×C3#558611yescharacteristic
704C2×C3#576911yescharacteristic
705C2×C3#577411yescharacteristic
706C2×C3#577911yescharacteristic
707C2×C3#577911yescharacteristic
708D3—41no—
709D3—42no—
710D3—81no—
711C22—62no—
712C22—61no—
713C22—61no—
714C22—61no—
715C22—121no—
716C22—121no—
717C22—121no—
718C22—121no—
719C22—121no—
720C22D32×D411yescharacteristic
721C4—22no—
722C4—41no—
723C4—61no—
724C4—61no—
725C4—61no—
726C4—121no—
727C4—121no—
728C4—181no—
729C4—181no—
730C4—361no—
731C4—361no—
732C4C2×#379511yescharacteristic
733C4D3×#23711yescharacteristic
734C3—21no—
735C3#7981311yescharacteristic, complemented
736C3#8021811yescharacteristic, complemented
737C2—121no—
738C2—122no—
739C2—241no—
740C2#1059405411yescharacteristic
741C2#1059475511yescharacteristic
742C2#1059476911yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
prime radical#10591586C2
hypercenter#103D32
hypocenterC32#3124
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #103

Complements

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

NH ≅ G/Ntype
1. #10595394C2semidirect
2. #10594592C2semidirect
3. #10592492C2semidirect
4. C3×#4817C2semidirect
5. C3×#4808C2semidirect
6. #10591612C2semidirect
8. Dic3×#216C2semidirect
9. #10590766C2semidirect
10. #10590750C2semidirect
11. #10590697C2semidirect
12. #10590680C2semidirect
13. #10590471C2semidirect
14. #10590452C2semidirect
15. #10590440C2semidirect
79. #4817D3semidirect
80. #4808D3semidirect
658. C32#3124semidirect
735. C3#79813semidirect
736. C3#80218semidirect

Maximal subgroups

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

subgroupindex
#105953942
#105945922
#105924922
C3×#48172
C3×#48082
#105916122
#105915862
Dic3×#2162
#105907662
#105907502
#105906972
#105906802
#105904712
#105904522
#105904402
#802183
#798133