Finite Group Databasebeta

← #11872935

Subgroups — #11872935

Order 1152.

822 conjugacy classes of subgroups.

The subgroup lattice has 748 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595222C211yesmaximal, characteristic, complemented
2#10594592C211yesmaximal, characteristic, complemented
3#10592458C211yesmaximal, characteristic, complemented
4C3×#4783C211yesmaximal, characteristic, complemented
5C3×#4756C211yesmaximal, characteristic, complemented
6#10591476C211yesmaximal, characteristic, complemented
7#10591450C211yesmaximal, characteristic
8#10591440C211yesmaximal, characteristic, complemented
9Dic3×Dic12C211yesmaximal, characteristic, complemented
10#10590797C211yesmaximal, characteristic, complemented
11#10590696C211yesmaximal, characteristic, complemented
12#10590680C211yesmaximal, characteristic, complemented
13#10590496C211yesmaximal, characteristic, complemented
14#10590478C211yesmaximal, characteristic, complemented
15#10590440C211yesmaximal, characteristic, complemented
16#80218—31nomaximal
17#79597—31nomaximal
18C2×C3×#237C2211yescharacteristic
19D4×C3⋊Dic3C2211yescharacteristic
20#64097C2211yescharacteristic
21C3×D4×Dic3C2211yescharacteristic
22C2×C3×#214C2211yescharacteristic
23C2×C3×#213C2211yescharacteristic
24C2×C3×Dic12C2211yescharacteristic
25C3×#897C2211yescharacteristic
26C3×#893C2211yescharacteristic
27#67⋊Dic3—21no—
28Dic3×#67—21no—
29C2×Dic3⋊Dic3—21no—
30#63955—21no—
31#63913—21no—
32#63908C2211yescharacteristic
33#63905—21no—
34D3×C4⋊Dic3C2211yescharacteristic
35#63863C2211yescharacteristic
36#63858—21no—
37#63857—21no—
38#63855C2211yescharacteristic
39#63843C2211yescharacteristic
40Dic3×Dic6C2211yescharacteristic
41Dic3×Dic6C2211yescharacteristic
42C2×#3715C2211yescharacteristic
43C32×#102C2211yescharacteristic
44#63659C2211yescharacteristic
45#63645C2211yescharacteristic
46#63641C2211yescharacteristic
47#63634C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×C8×Dic3C2211yescharacteristic
51C3×#810C2211yescharacteristic
52C3×#807C2211yescharacteristic
53#63575C2211yescharacteristic
54#63572C2211yescharacteristic
55#63566C2211yescharacteristic
56#63566C2211yescharacteristic
57#63565C2211yescharacteristic
58#63563C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60#63554C2211yescharacteristic
61#5827—31no—
62#5643—31no—
63#5561—31no—
64#5546—31no—
65C3×#452—31no—
66C3×C4×D8—31no—
67#5238—31no—
68#5185—31no—
69Dic3×Q16—31no—
70#5165—31no—
71#5164—31no—
72#5158—31no—
73#5153—31no—
74#5044—31no—
75#5018—31no—
76#5018—31no—
77#4884—31no—
78#4875—31no—
79#4817—31no—
80#4793—31no—
81#4783D311yescharacteristic, complemented
82#4774—31no—
83#4767—31no—
84#4759—31no—
85#4759—31no—
86#4759—61no—
87#4756D311yescharacteristic, complemented
88#4736—31no—
89#4720—31no—
90C4×Dic12—31no—
91#4690—31no—
92C2×C32×D4C2311yescharacteristic
93C22×C3⋊Dic3—21no—
94C2×#634—21no—
95C2×C3×#67—21no—
96C22×C3×Dic3—21no—
97C22×C3×Dic3—21no—
98C3×#237—22no—
99C3×#237—22no—
100C2×C3×D12C2311yescharacteristic
101C2×C3×C4×D3—21no—
102C2×C3×C4×D3C2311yescharacteristic
103C2×C3×Dic6C2311yescharacteristic
104C2×C3×Dic6C2311yescharacteristic
105C2×#625—21no—
106C2×D3×Dic3—21no—
107C2×C32×C8C2311yescharacteristic
108C32×C4⋊C4C2311yescharacteristic
109#3757—21no—
110C4⋊(C3⋊Dic3)C2311yescharacteristic
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112#3750—21no—
113C4×C3⋊Dic3C2311yescharacteristic
114C2×C3⋊(C3⋊C8)C2311yescharacteristic
115C3×#217—21no—
116C3×#214—22no—
117C3×#213—22no—
118C3×(C2×D3)⋊C4—21no—
119C3×(C2×D3)⋊C4—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3C2311yescharacteristic
122C3×C4×Dic3C2311yescharacteristic
123C2×C3×C3⋊C8C2311yescharacteristic
124C2×C3×C3⋊C8C2311yescharacteristic
125C3×Dic12—22no—
126Dic3⋊Dic3—21no—
127Dic3⋊Dic3—21no—
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)⋊Dic3D411yescharacteristic
136(C2×D3)⋊Dic3D411yescharacteristic
137Dic32—21no—
138Dic32—21no—
139Dic32—21no—
140#3715—22no—
141#3124—91noSylow
142C2×C3×#41—31no—
143C2×#237C2×D311yescharacteristic
144C2×C3×Q16—31no—
145C2×C3×SD16—31no—
146C2×C3×D8—31no—
147C3×C22⋊Q8—31no—
148C3×C4×D4—31no—
149C3×C4×D4—31no—
150#947—31no—
151Q8×Dic3—31no—
152Q8×Dic3—31no—
153Q8×Dic3—31no—
154C2×#215—31no—
155#938—31no—
156#936—31no—
157D4×Dic3—31no—
158D4×Dic3—31no—
159D4×Dic3—61no—
160D4×Dic3—61no—
161D4×Dic3—61no—
162D4×Dic3C2×D311yescharacteristic
163C2×#214—31no—
164C2×#214C2×D311yescharacteristic
165C2×#213C2×D311yescharacteristic
166#930—31no—
167#929—61no—
168C4×#67—61no—
169#926—31no—
170#926—61no—
171C2×C4⋊Dic3—31no—
172C2×C4⋊Dic3—61no—
173#924—61no—
174C2×Dic3⋊C4—61no—
175C2×Dic12C2×D311yescharacteristic
176#898—61no—
177#897—61no—
178#897C2×D311yescharacteristic
179#893C2×D311yescharacteristic
180D3×C4⋊C4—31no—
181#888—31no—
182#888—31no—
183#888—61no—
184#887—31no—
185#885—61no—
186#885—61no—
187#883—61no—
188#67⋊C4—61no—
189#879—61no—
190#877—61no—
191#872—31no—
192C4×Dic6—31no—
193C4×Dic6—31no—
194C3×#107—31no—
195C3×#103—31no—
196C3×#102—21no—
197C3×#102—31no—
198C3×#102C2×D311yescharacteristic
199C3×#102C2×D311yescharacteristic
200C3×C22⋊C8—31no—
201C3×C4×C8—31no—
202#835—31no—
203#835—31no—
204#835—31no—
205#832—31no—
206#832—31no—
207#832—31no—
208#832—61no—
209#830—31no—
210#821—31no—
211#821C2×D311yescharacteristic
212(C2×D3)⋊C8—31no—
213(C2×D3)⋊C8C2×D311yescharacteristic
214#818—31no—
215#818—31no—
216#818—31no—
217#818—61no—
218#816—31no—
219#816—31no—
220#815—31no—
221Dic3⋊C8—31no—
222Dic3⋊C8—31no—
223Dic3⋊C8—31no—
224Dic3⋊C8—31no—
225Dic3⋊C8—61no—
226C8×Dic3C2×D311yescharacteristic
227#810—31no—
228#810C2×D311yescharacteristic
229#807—31no—
230#807—31no—
231#807—31no—
232#807—61no—
233#807C2×D311yescharacteristic
234#803—31no—
235C23×C32—21no—
236C22×C3×D3—21no—
237C22×C3×D3C2×D411yescharacteristic
238C32×D4—21no—
239C32×D4#4112yes—
240C2×C32×C4—21no—
241C2×C32×C4C2411yescharacteristic
242C2×C3⋊Dic3—21no—
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3—81no—
245C2×C3⋊Dic3C2×D411yescharacteristic
246C2×C3⋊Dic3C2×D411yescharacteristic
247#634—81no—
248C3×#67—24no—
249C2×C3×Dic3—24no—
250C2×C3×Dic3—21no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—81no—
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C3×D12—21no—
258C3×D12—21no—
259C3×C4×D3—21no—
260C3×C4×D3—21no—
261C3×C4×D3—81no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3×Dic6#4112yes—
266#625—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—91no—
283#440—91no—
284C4×Q16—91no—
285C4×D8—31no—
286#433—91no—
287C3×#41—62no—
288C3×#41—62no—
289C2×C3×Q8—31no—
290C2×C3×Q8—31no—
291C2×C3×D4—21no—
292C2×C3×D4—31no—
293C2×C3×D4—61no—
294C2×C3×D4C22×D311yescharacteristic
295C2×C3×D4C22×D311yescharacteristic
296C22×C3×C4—31no—
297C22×C3×C4—61no—
298C22×C3×C4—61no—
299C22×C3×C4—61no—
300C2×#67—21no—
301C2×#67—61no—
302C2×#67—61no—
303C22×Dic3—21no—
304C22×Dic3—21no—
305C22×Dic3—61no—
306C22×Dic3—61no—
307C22×Dic3—61no—
308C22×Dic3—121no—
309#237—22no—
310#237—22no—
311C2×D12C22×D311yescharacteristic
312C2×C4×D3—21no—
313C2×C4×D3—61no—
314C2×C4×D3C22×D311yescharacteristic
315C2×Dic6—61no—
316C2×Dic6—61no—
317C2×Dic6—121no—
318C2×Dic6C22×D311yescharacteristic
319C2×Dic6C22×D311yescharacteristic
320C3×Q16—62no—
321C3×SD16—62no—
322C3×D8—62no—
323C2×C3×C8—21no—
324C2×C3×C8—31no—
325C2×C3×C8—31no—
326C2×C3×C8C22×D311yescharacteristic
327C2×C3×C8C22×D311yescharacteristic
328C3×C4⋊C4—21no—
329C3×C4⋊C4—31no—
330C3×C4⋊C4—61no—
331C3×C4⋊C4C22×D311yescharacteristic
332C3×C4⋊C4C22×D311yescharacteristic
333C3×C22⋊C4—61no—
334C3×C22⋊C4—61no—
335C3×C22⋊C4—61no—
336C3×C42—31no—
337#217—21no—
338#217—31no—
339#217—31no—
340#217—61no—
341#217—61no—
342#217—61no—
343#217—61no—
344#217—61no—
345#217—121no—
346#215—62no—
347#214—22no—
348#214—62no—
349#213—22no—
350(C2×D3)⋊C4—21no—
351(C2×D3)⋊C4—21no—
352(C2×D3)⋊C4—31no—
353(C2×D3)⋊C4—31no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—61no—
356(C2×D3)⋊C4—61no—
357C4⋊Dic3—21no—
358C4⋊Dic3—31no—
359C4⋊Dic3—31no—
360C4⋊Dic3—31no—
361C4⋊Dic3—31no—
362C4⋊Dic3—31no—
363C4⋊Dic3—31no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3C22×D311yescharacteristic
371Dic3⋊C4—31no—
372Dic3⋊C4—31no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—121no—
380C4×Dic3—31no—
381C4×Dic3—31no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3—61no—
388C4×Dic3—61no—
389C4×Dic3C22×D311yescharacteristic
390C2×C3⋊C8—31no—
391C2×C3⋊C8—31no—
392C2×C3⋊C8—61no—
393C2×C3⋊C8C22×D311yescharacteristic
394C2×C3⋊C8C22×D311yescharacteristic
395Dic12—22no—
396C22×C32—22no—
397C22×C32—41no—
398C22×C32—41no—
399C22×C32C22×D411yescharacteristic
400C2×C3×D3—21no—
401C2×C3×D3—21no—
402C2×C3×D3—21no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C32×C4—41no—
407C32×C4C2×#4111yescharacteristic
408C32×C4C2×#4111yescharacteristic
409C3⋊Dic3—21no—
410C3⋊Dic3—21no—
411C3⋊Dic3—41no—
412C3⋊Dic3—41no—
413C3×Dic3—22no—
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—91no—
423C2×D8—31no—
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—91no—
433C4×Q8—91no—
434C4×Q8—91no—
435C4×D4—31no—
436C4×D4—31no—
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—31no—
451#103—91no—
452#103—91no—
453#103—91no—
454#102—31no—
455#102—91no—
456#102—91no—
457#102D3211yescharacteristic
458C22⋊C8—31no—
459C22⋊C8—91no—
460#97—91no—
461C4×C8—31no—
462C23×C3—21no—
463C23×C3—21no—
464C23×C3—31no—
465C23×C3—41no—
466C23×C3—61no—
467C22×D3—21no—
468C22×D3D3×D411yescharacteristic
469C3×Q8—32no—
470C3×Q8—61no—
471C3×Q8—61no—
472C3×Q8—61no—
473C3×D4—21no—
474C3×D4—21no—
475C3×D4—22no—
476C3×D4—41no—
477C3×D4—64no—
478C3×D4—61no—
479C3×D4—61no—
480C3×D4#23512yes—
481C3×D4#23712yes—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—31no—
486C2×C3×C4—31no—
487C2×C3×C4—31no—
488C2×C3×C4—41no—
489C2×C3×C4—64no—
490C2×C3×C4—61no—
491C2×C3×C4—61no—
492C2×C3×C4—61no—
493C2×C3×C4—61no—
494C2×C3×C4—61no—
495C2×C3×C4—241no—
496C2×C3×C4—241no—
497C2×C3×C4C23×D311yescharacteristic
498C2×C3×C4C23×D311yescharacteristic
499#67—24no—
500#67—241no—
501#67—241no—
502C2×Dic3—24no—
503C2×Dic3—21no—
504C2×Dic3—21no—
505C2×Dic3—21no—
506C2×Dic3—31no—
507C2×Dic3—31no—
508C2×Dic3—31no—
509C2×Dic3—31no—
510C2×Dic3—61no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—61no—
515C2×Dic3—61no—
516C2×Dic3—81no—
517C2×Dic3—121no—
518C2×Dic3—121no—
519C2×Dic3—241no—
520C2×Dic3—241no—
521C2×Dic3—241no—
522C2×Dic3—242no—
523C2×Dic3D3×D411yescharacteristic
524C2×Dic3D3×D411yescharacteristic
525C2×Dic3D3×D411yescharacteristic
526D12—21no—
527D12—21no—
528C4×D3—21no—
529C4×D3—21no—
530C4×D3—81no—
531C4×D3—241no—
532Dic6—21no—
533Dic6—21no—
534Dic6—21no—
535Dic6—241no—
536Dic6—241no—
537Dic6—242no—
538Dic6#23712yes—
539C3×C8—21no—
540C3×C8—21no—
541C3×C8—41no—
542C3×C8—61no—
543C3×C8—61no—
544C3⋊C8—21no—
545C3⋊C8—21no—
546C3⋊C8—61no—
547C3⋊C8—61no—
548C3⋊C8—121no—
549C2×C32—42no—
550C2×C32#52511yescharacteristic
551C2×C32#57611yescharacteristic
552C2×C32#57811yescharacteristic
553C3×D3—41no—
554C3×D3—81no—
555#41—62no—
556#41—62no—
557C2×Q8—31no—
558C2×Q8—31no—
559C2×Q8—181no—
560C2×D4—31no—
561C2×D4—61no—
562C2×D4—181no—
563C2×D4C2×D3211yescharacteristic
564C22×C4—31no—
565C22×C4—61no—
566C22×C4—61no—
567C22×C4—61no—
568C22×C4—181no—
569C22×C4—181no—
570Q16—62no—
571SD16—62no—
572SD16—182no—
573D8—62no—
574C2×C8—31no—
575C2×C8—31no—
576C2×C8—91no—
577C2×C8C2×D3211yescharacteristic
578C4⋊C4—31no—
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⋊C4—181no—
589C4⋊C4C2×D3211yescharacteristic
590C22⋊C4—61no—
591C22⋊C4—61no—
592C22⋊C4—61no—
593C22⋊C4—91no—
594C22⋊C4—91no—
595C22⋊C4—181no—
596C22⋊C4—181no—
597C22⋊C4—181no—
598C22⋊C4—181no—
599C42—31no—
600C42—91no—
601C42—181no—
602C42—181no—
603C42—181no—
604C22×C3—22no—
605C22×C3—22no—
606C22×C3—21no—
607C22×C3—42no—
608C22×C3—41no—
609C22×C3—41no—
610C22×C3—41no—
611C22×C3—41no—
612C22×C3—61no—
613C22×C3—61no—
614C22×C3—61no—
615C22×C3—81no—
616C22×C3—81no—
617C22×C3—121no—
618C22×C3—121no—
619C22×C3—121no—
620C22×C3C2×D3×D411yescharacteristic
621C22×C3C2×D3×D411yescharacteristic
622C2×D3—21no—
623C2×D3—21no—
624C2×D3—21no—
625C2×D3—41no—
626C2×D3—41no—
627C2×D3—41no—
628C3×C4—21no—
629C3×C4—21no—
630C3×C4—41no—
631C3×C4—41no—
632C3×C4—61no—
633C3×C4—61no—
634C3×C4—61no—
635C3×C4—62no—
636C3×C4—81no—
637C3×C4—121no—
638C3×C4—121no—
639C3×C4C2×#23511yescharacteristic
640C3×C4C2×#23711yescharacteristic
641C3×C4C2×#23711yescharacteristic
642C3×C4D3×#4111yescharacteristic
643Dic3—21no—
644Dic3—21no—
645Dic3—22no—
646Dic3—21no—
647Dic3—41no—
648Dic3—41no—
649Dic3—62no—
650Dic3—61no—
651Dic3—61no—
652Dic3—61no—
653Dic3—61no—
654Dic3—121no—
655Dic3—121no—
656Dic3—121no—
657Dic3—121no—
658Dic3—121no—
659Dic3—241no—
660Dic3—241no—
661C32#312411yescharacteristic, complemented, Sylow
662C23—21no—
663C23—31no—
664C23—61no—
665Q8—32no—
666Q8—61no—
667Q8—61no—
668Q8—61no—
669Q8—721no—
670D4—21no—
671D4—64no—
672D4—61no—
673D4—61no—
674D4—721no—
675D4#379512yes—
676C2×C4—21no—
677C2×C4—31no—
678C2×C4—31no—
679C2×C4—31no—
680C2×C4—64no—
681C2×C4—61no—
682C2×C4—61no—
683C2×C4—61no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—91no—
687C2×C4—91no—
688C2×C4—181no—
689C2×C4—181no—
690C2×C4—241no—
691C2×C4—241no—
692C2×C4—721no—
693C2×C4—721no—
694C2×C4C22×D3211yescharacteristic
695C8—21no—
696C8—61no—
697C8—61no—
698C8—181no—
699C2×C3—21no—
700C2×C3—21no—
701C2×C3—21no—
702C2×C3—42no—
703C2×C3—42no—
704C2×C3—82no—
705C2×C3—121no—
706C2×C3—241no—
707C2×C3#554711yescharacteristic
708C2×C3#558611yescharacteristic
709C2×C3#575711yescharacteristic
710C2×C3#576911yescharacteristic
711C2×C3#577111yescharacteristic
712C2×C3#577911yescharacteristic
713D3—41no—
714D3—81no—
715C22—22no—
716C22—41no—
717C22—41no—
718C22—61no—
719C22—61no—
720C22—61no—
721C22—121no—
722C22—121no—
723C22—121no—
724C22D32×D411yescharacteristic
725C4—41no—
726C4—61no—
727C4—62no—
728C4—61no—
729C4—61no—
730C4—121no—
731C4—121no—
732C4—181no—
733C4—181no—
734C4—361no—
735C4—361no—
736C4C2×#379511yescharacteristic
737C4D3×#23711yescharacteristic
738C3—21no—
739C3#7959711yescharacteristic, complemented
740C3#8021811yescharacteristic, complemented
741C2—42no—
742C2—121no—
743C2—241no—
744C2#1059405411yescharacteristic
745C2#1059473411yescharacteristic
746C2#1059475611yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#102C22
socleC22×C32C22×D4
prime radical#10591450C2
hypercenter#102D32
hypocenterC32#3124
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #102

Complements

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

NH ≅ G/Ntype
1. #10595222C2semidirect
2. #10594592C2semidirect
3. #10592458C2semidirect
4. C3×#4783C2semidirect
5. C3×#4756C2semidirect
6. #10591476C2semidirect
8. #10591440C2semidirect
9. Dic3×Dic12C2semidirect
10. #10590797C2semidirect
11. #10590696C2semidirect
12. #10590680C2semidirect
13. #10590496C2semidirect
14. #10590478C2semidirect
15. #10590440C2semidirect
81. #4783D3semidirect
87. #4756D3semidirect
661. C32#3124semidirect
739. C3#79597semidirect
740. C3#80218semidirect

Maximal subgroups

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

subgroupindex
#105952222
#105945922
#105924582
C3×#47832
C3×#47562
#105914762
#105914502
#105914402
Dic3×Dic122
#105907972
#105906962
#105906802
#105904962
#105904782
#105904402
#802183
#795973