Finite Group Databasebeta

← #11872449

Subgroups — #11872449

Order 1152.

820 conjugacy classes of subgroups.

The subgroup lattice has 737 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5827C211yesmaximal, characteristic
2#10594824C211yesmaximal, characteristic, complemented
3#10592938C211yesmaximal, characteristic
4C3×#5239C211yesmaximal, characteristic
5#10591625C211yesmaximal, characteristic, complemented
6#10591576C211yesmaximal, characteristic, complemented
7#10591545C211yesmaximal, characteristic, complemented
8#10591537C211yesmaximal, characteristic, complemented
9#10591489C211yesmaximal, characteristic, complemented
10Dic3×#214C211yesmaximal, characteristic, complemented
11#10591409C211yesmaximal, characteristic, complemented
12#10591405C211yesmaximal, characteristic, complemented
13#10591132C211yesmaximal, characteristic, complemented
14#10591124C211yesmaximal, characteristic, complemented
15#10591056C211yesmaximal, characteristic, complemented
16#82575—31nomaximal
17#80216—31nomaximal
18C2×C32×#41C2211yescharacteristic
19C2×#3756C2211yescharacteristic
20C2×#3754C2211yescharacteristic
21#64133C2211yescharacteristic
22C3×Q8×Dic3C2211yescharacteristic
23C3×Q8×Dic3C2211yescharacteristic
24C2×C3×#216C2211yescharacteristic
25C3×D4×Dic3—21no—
26C3×D4×Dic3—21no—
27C3×D4×Dic3C2211yescharacteristic
28C3×D4×Dic3C2211yescharacteristic
29C2×C3×#214C2211yescharacteristic
30C3×#926—21no—
31C3×#926C2211yescharacteristic
32C2×C3×C4⋊Dic3—21no—
33C2×C3×C4⋊Dic3C2211yescharacteristic
34C3×#924C2211yescharacteristic
35#63956—21no—
36#63956—21no—
37#63869C2211yescharacteristic
38#63866C2211yescharacteristic
39#63847—21no—
40#63846—21no—
41#63844C2211yescharacteristic
42Dic3×Dic6C2211yescharacteristic
43#63662C2211yescharacteristic
44#63659C2211yescharacteristic
45#63657C2211yescharacteristic
46C3×#835C2211yescharacteristic
47C3×#832C2211yescharacteristic
48C3×#830C2211yescharacteristic
49#63576C2211yescharacteristic
50#63576C2211yescharacteristic
51#63573C2211yescharacteristic
52#63573C2211yescharacteristic
53Dic3⋊(C3⋊C8)C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63567C2211yescharacteristic
56#63567C2211yescharacteristic
57#63565C2211yescharacteristic
58#63565C2211yescharacteristic
59#63554C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#520—31no—
62#5827D311yescharacteristic
63#5625—31no—
64#5518—31no—
65C3×#452—31no—
66#5239—31no—
67#5239—31no—
68#5239—61no—
69#5239D311yescharacteristic
70#5184—31no—
71#5182—31no—
72#5162—31no—
73Dic3×SD16—31no—
74#5044—31no—
75#5031—31no—
76#5030—31no—
77C4×#216—31no—
78#5022—31no—
79#5019—31no—
80#5018—31no—
81C4×#214—31no—
82#5009—31no—
83#5000—31no—
84#4971—31no—
85#4970—31no—
86#4799—31no—
87#4790—31no—
88#4763—31no—
89#4757—31no—
90#4721—31no—
91#4720—31no—
92C32×#41—22no—
93C32×#41—22no—
94C2×C32×Q8C2311yescharacteristic
95C2×C32×D4—21no—
96C2×C32×D4C2311yescharacteristic
97C22×C32×C4—21no—
98C22×C32×C4C2311yescharacteristic
99C2×#634C2311yescharacteristic
100C22×C3×Dic3—21no—
101C22×C3×Dic3—21no—
102C22×C3×Dic3—21no—
103C2×C3×Dic6C2311yescharacteristic
104#3757—21no—
105#3756—22no—
106#3754—22no—
107C4⋊(C3⋊Dic3)C2311yescharacteristic
108#3750—21no—
109C2×C3⋊(C3⋊C8)C2311yescharacteristic
110C2×C3⋊(C3⋊C8)C2311yescharacteristic
111C3×#217—21no—
112C3×#217—21no—
113C3×#217—21no—
114C3×#217D411yescharacteristic
115C3×#217D411yescharacteristic
116C3×#216—22no—
117C3×#214—22no—
118C3×C4⋊Dic3—21no—
119C3×C4⋊Dic3—21no—
120C3×C4⋊Dic3—21no—
121C3×C4⋊Dic3D411yescharacteristic
122C3×C4⋊Dic3D411yescharacteristic
123C3×C4⋊Dic3C2311yescharacteristic
124C3×C4⋊Dic3C2311yescharacteristic
125C3×C4⋊Dic3C2311yescharacteristic
126C3×Dic3⋊C4—21no—
127C3×C4×Dic3—21no—
128C3×C4×Dic3—21no—
129C3×C4×Dic3C2311yescharacteristic
130C3×C4×Dic3C2311yescharacteristic
131C2×C3×C3⋊C8C2311yescharacteristic
132C2×C3×C3⋊C8C2311yescharacteristic
133#3724—21no—
134#3724—21no—
135Dic3⋊Dic3—21no—
136Dic3⋊Dic3—21no—
137Dic3⋊Dic3—21no—
138Dic3⋊Dic3—21no—
139Dic32—21no—
140Dic32—21no—
141#3120—91noSylow
142C2×C3×#41—21no—
143C2×C3×#41C2×D311yescharacteristic
144C2×C3×#41C2×D311yescharacteristic
145C2×C3×Q16—31no—
146C2×C3×SD16—31no—
147C3×C22⋊Q8—31no—
148C3×C4×Q8—31no—
149C3×C4×Q8—31no—
150C3×C4×D4—31no—
151C3×C4×D4—31no—
152C3×C4×D4—61no—
153C3×C4×D4—61no—
154C3×#117—31no—
155C3×#117—61no—
156C2×C3×C4⋊C4—31no—
157C2×C3×C4⋊C4—61no—
158Q8×Dic3—31no—
159Q8×Dic3C2×D311yescharacteristic
160Q8×Dic3C2×D311yescharacteristic
161#944—31no—
162C2×#216—31no—
163C2×#216—31no—
164C2×#216—61no—
165C2×#216C2×D311yescharacteristic
166D4×Dic3—21no—
167D4×Dic3—21no—
168D4×Dic3C2×D311yescharacteristic
169D4×Dic3C2×D311yescharacteristic
170C2×#214—31no—
171C2×#214—31no—
172C2×#214—61no—
173C2×#214C2×D311yescharacteristic
174#926—21no—
175#926C2×D311yescharacteristic
176C2×C4⋊Dic3—21no—
177C2×C4⋊Dic3C2×D311yescharacteristic
178#924—31no—
179#924—31no—
180#924—61no—
181#924C2×D311yescharacteristic
182#890—31no—
183#890—61no—
184#889—61no—
185#889—61no—
186#889—61no—
187#887—31no—
188#879—61no—
189#879—61no—
190#879—61no—
191#879—61no—
192#870—31no—
193#869—31no—
194C4×Dic6—31no—
195C4×Dic6—31no—
196C3×#103—31no—
197C3×#102—31no—
198C3×C22⋊C8—31no—
199#835—31no—
200#835—31no—
201#835—31no—
202#835—31no—
203#835—61no—
204#835C2×D311yescharacteristic
205#832—31no—
206#832—31no—
207#832—61no—
208#832C2×D311yescharacteristic
209#830—31no—
210#830—31no—
211#830—61no—
212#830C2×D311yescharacteristic
213#817—31no—
214#817—31no—
215#816—31no—
216#816—31no—
217#815—31no—
218Dic3⋊C8—31no—
219Dic3⋊C8—31no—
220C8×Dic3—31no—
221#810—31no—
222#810—31no—
223#810—31no—
224#810—31no—
225#808—31no—
226#808—31no—
227#807—31no—
228#807—31no—
229#807—31no—
230#807—31no—
231C4⋊(C3⋊C8)—31no—
232C4⋊(C3⋊C8)—31no—
233#803—31no—
234C4×C3⋊C8—31no—
235C23×C32—21no—
236C23×C32C2×D411yescharacteristic
237C32×Q8—21no—
238C32×Q8#4112yes—
239C32×D4—24no—
240C32×D4—21no—
241C32×D4#4112yes—
242C2×C32×C4—24no—
243C2×C32×C4—21no—
244C2×C32×C4—21no—
245C2×C32×C4—21no—
246C2×C32×C4C2×D411yescharacteristic
247C2×C32×C4C2411yescharacteristic
248C2×C3⋊Dic3—21no—
249C2×C3⋊Dic3—21no—
250#634—21no—
251#634—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—21no—
255C2×C3×Dic3—21no—
256C2×C3×Dic3—81no—
257C2×C3×Dic3—81no—
258C2×C3×Dic3—81no—
259C2×C3×Dic3C2×D411yescharacteristic
260C2×C3×Dic3C2×D411yescharacteristic
261C2×C3×Dic3C2×D411yescharacteristic
262C2×C3×Dic3C2×D411yescharacteristic
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—91no—
276#461—91no—
277#452—31no—
278#452—91no—
279#441—91no—
280#440—91no—
281C4×Q16—91no—
282C4×SD16—91no—
283#433—91no—
284C3×#41—22no—
285C3×#41—22no—
286C3×#41—22no—
287C3×#41—22no—
288C3×#41—42no—
289C3×#41—42no—
290C2×C3×Q8—21no—
291C2×C3×Q8—31no—
292C2×C3×Q8C22×D311yescharacteristic
293C2×C3×Q8C22×D311yescharacteristic
294C2×C3×D4—21no—
295C2×C3×D4—21no—
296C2×C3×D4—21no—
297C2×C3×D4—41no—
298C2×C3×D4C22×D311yescharacteristic
299C2×C3×D4C22×D311yescharacteristic
300C22×C3×C4—21no—
301C22×C3×C4—21no—
302C22×C3×C4—21no—
303C22×C3×C4—41no—
304C22×C3×C4—61no—
305C22×C3×C4—61no—
306C22×C3×C4—61no—
307C22×C3×C4C22×D311yescharacteristic
308C22×C3×C4C22×D311yescharacteristic
309C22×Dic3—21no—
310C22×Dic3—21no—
311C22×Dic3—21no—
312C2×Dic6—31no—
313C2×Dic6—31no—
314C2×Dic6—61no—
315C2×Dic6C22×D311yescharacteristic
316C3×Q16—62no—
317C3×SD16—62no—
318C2×C3×C8—31no—
319C2×C3×C8—31no—
320C3×C4⋊C4—31no—
321C3×C4⋊C4—31no—
322C3×C4⋊C4—31no—
323C3×C4⋊C4—31no—
324C3×C4⋊C4—31no—
325C3×C4⋊C4—61no—
326C3×C4⋊C4—61no—
327C3×C4⋊C4—61no—
328C3×C4⋊C4—61no—
329C3×C22⋊C4—31no—
330C3×C22⋊C4—31no—
331C3×C22⋊C4—61no—
332C3×C22⋊C4—61no—
333C3×C22⋊C4—61no—
334C3×C42—31no—
335C3×C42—31no—
336C3×C42—61no—
337C3×C42—61no—
338#217—21no—
339#217—21no—
340#217—21no—
341#217—61no—
342#217—61no—
343#217—121no—
344#217#6711yescharacteristic
345#217#6711yescharacteristic
346#216—22no—
347#216—62no—
348#216—62no—
349#216—122no—
350#214—22no—
351#214—62no—
352#214—62no—
353#214—122no—
354C4⋊Dic3—21no—
355C4⋊Dic3—21no—
356C4⋊Dic3—21no—
357C4⋊Dic3—31no—
358C4⋊Dic3—31no—
359C4⋊Dic3—61no—
360C4⋊Dic3—61no—
361C4⋊Dic3—61no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3#6711yescharacteristic
365C4⋊Dic3#6711yescharacteristic
366C4⋊Dic3C22×D311yescharacteristic
367C4⋊Dic3C22×D311yescharacteristic
368C4⋊Dic3C22×D311yescharacteristic
369Dic3⋊C4—21no—
370Dic3⋊C4—61no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378Dic3⋊C4—61no—
379Dic3⋊C4—61no—
380Dic3⋊C4—121no—
381C4×Dic3—21no—
382C4×Dic3—21no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—61no—
386C4×Dic3—61no—
387C4×Dic3C22×D311yescharacteristic
388C4×Dic3C22×D311yescharacteristic
389C2×C3⋊C8—31no—
390C2×C3⋊C8—31no—
391C2×C3⋊C8—31no—
392C2×C3⋊C8—31no—
393C2×C3⋊C8—61no—
394C2×C3⋊C8—61no—
395C2×C3⋊C8C22×D311yescharacteristic
396C2×C3⋊C8C22×D311yescharacteristic
397C22×C32—21no—
398C22×C32—22no—
399C22×C32—21no—
400C22×C32—21no—
401C22×C32—41no—
402C22×C32—41no—
403C22×C32C22×D411yescharacteristic
404C32×C4—21no—
405C32×C4—22no—
406C32×C4C2×#4111yescharacteristic
407C32×C4C2×#4111yescharacteristic
408C3⋊Dic3—41no—
409C3⋊Dic3—41no—
410C3×Dic3—21no—
411C3×Dic3—21no—
412C3×Dic3—21no—
413C3×Dic3—21no—
414C3×Dic3—41no—
415C3×Dic3—41no—
416C3×Dic3—41no—
417C3×Dic3—41no—
418C2×#41D3211yescharacteristic
419C2×Q16—31no—
420C2×Q16—91no—
421C2×SD16—31no—
422C2×SD16—91no—
423C4⋊Q8—91no—
424#126—181no—
425#126—181no—
426#125—91no—
427#125—181no—
428#125—181no—
429C22⋊Q8—31no—
430C22⋊Q8—91no—
431C4×Q8—31no—
432C4×Q8—31no—
433C4×Q8—91no—
434C4×Q8—91no—
435C4×D4—31no—
436C4×D4—31no—
437C4×D4—61no—
438C4×D4—61no—
439#117—31no—
440#117—61no—
441C2×C4⋊C4—31no—
442C2×C4⋊C4—61no—
443#107—91no—
444#107—91no—
445#106—91no—
446#106—91no—
447C4⋊C8—91no—
448C4⋊C8—91no—
449#103—31no—
450#103—91no—
451#103—91no—
452#103—91no—
453#103—91no—
454#103—91no—
455#102—31no—
456#102—91no—
457C22⋊C8—31no—
458C22⋊C8—91no—
459#97—91no—
460C4×C8—91no—
461C23×C3—21no—
462C23×C3—21no—
463C23×C3—21no—
464C23×C3—41no—
465C23×C3D3×D411yescharacteristic
466C23×C3C2×#6711yescharacteristic
467C3×Q8—21no—
468C3×Q8—21no—
469C3×Q8—22no—
470C3×Q8—41no—
471C3×Q8—61no—
472C3×Q8—61no—
473C3×Q8#23512yes—
474C3×Q8#23712yes—
475C3×D4—24no—
476C3×D4—24no—
477C3×D4—21no—
478C3×D4—21no—
479C3×D4—22no—
480C3×D4—41no—
481C3×D4—44no—
482C3×D4#23512yes—
483C3×D4#23712yes—
484C2×C3×C4—24no—
485C2×C3×C4—24no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—21no—
493C2×C3×C4—21no—
494C2×C3×C4—31no—
495C2×C3×C4—31no—
496C2×C3×C4—31no—
497C2×C3×C4—31no—
498C2×C3×C4—41no—
499C2×C3×C4—41no—
500C2×C3×C4—41no—
501C2×C3×C4—44no—
502C2×C3×C4—61no—
503C2×C3×C4—61no—
504C2×C3×C4—61no—
505C2×C3×C4—61no—
506C2×C3×C4—241no—
507C2×C3×C4—241no—
508C2×C3×C4—241no—
509C2×C3×C4D3×D411yescharacteristic
510C2×C3×C4C2×#6711yescharacteristic
511C2×C3×C4C23×D311yescharacteristic
512C2×C3×C4C23×D311yescharacteristic
513C2×Dic3—21no—
514C2×Dic3—21no—
515C2×Dic3—21no—
516C2×Dic3—21no—
517C2×Dic3—61no—
518C2×Dic3—61no—
519C2×Dic3—61no—
520C2×Dic3—61no—
521C2×Dic3—81no—
522C2×Dic3—81no—
523C2×Dic3—81no—
524C2×Dic3—121no—
525C2×Dic3—121no—
526C2×Dic3C2×#6711yescharacteristic
527C2×Dic3C2×#6711yescharacteristic
528C2×Dic3C2×#6711yescharacteristic
529C2×Dic3C2×#6711yescharacteristic
530Dic6—21no—
531Dic6—21no—
532Dic6—61no—
533Dic6—61no—
534Dic6—61no—
535Dic6—61no—
536Dic6—121no—
537Dic6—121no—
538C3×C8—61no—
539C3×C8—61no—
540C3⋊C8—21no—
541C3⋊C8—21no—
542C3⋊C8—61no—
543C3⋊C8—61no—
544C3⋊C8—61no—
545C3⋊C8—61no—
546C3⋊C8—121no—
547C3⋊C8—121no—
548C2×C32—41no—
549C2×C32—42no—
550C2×C32#52511yescharacteristic
551C2×C32#57711yescharacteristic
552C2×C32#57811yescharacteristic
553#41—22no—
554#41—22no—
555C2×Q8—31no—
556C2×Q8—91no—
557C2×Q8C2×D3211yescharacteristic
558C2×D4—21no—
559C2×D4C2×D3211yescharacteristic
560C22×C4—21no—
561C22×C4—61no—
562C22×C4—61no—
563C22×C4—61no—
564C22×C4C2×D3211yescharacteristic
565Q16—62no—
566Q16—182no—
567SD16—62no—
568SD16—182no—
569C2×C8—31no—
570C2×C8—31no—
571C2×C8—91no—
572C2×C8—91no—
573C4⋊C4—31no—
574C4⋊C4—31no—
575C4⋊C4—31no—
576C4⋊C4—31no—
577C4⋊C4—31no—
578C4⋊C4—61no—
579C4⋊C4—61no—
580C4⋊C4—61no—
581C4⋊C4—61no—
582C4⋊C4—91no—
583C4⋊C4—181no—
584C4⋊C4—181no—
585C4⋊C4—181no—
586C4⋊C4—181no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C4⋊C4—181no—
590C22⋊C4—31no—
591C22⋊C4—31no—
592C22⋊C4—61no—
593C22⋊C4—61no—
594C22⋊C4—61no—
595C22⋊C4—181no—
596C42—31no—
597C42—31no—
598C42—61no—
599C42—61no—
600C42—181no—
601C42—181no—
602C22×C3—21no—
603C22×C3—21no—
604C22×C3—21no—
605C22×C3—22no—
606C22×C3—21no—
607C22×C3—21no—
608C22×C3—21no—
609C22×C3—22no—
610C22×C3—21no—
611C22×C3—42no—
612C22×C3—41no—
613C22×C3—41no—
614C22×C3—41no—
615C22×C3—41no—
616C22×C3—41no—
617C22×C3—41no—
618C22×C3—41no—
619C22×C3—81no—
620C22×C3—81no—
621C22×C3C2×D3×D411yescharacteristic
622C22×C3C22×#6711yescharacteristic
623C3×C4—21no—
624C3×C4—22no—
625C3×C4—21no—
626C3×C4—22no—
627C3×C4—21no—
628C3×C4—21no—
629C3×C4—41no—
630C3×C4—42no—
631C3×C4—61no—
632C3×C4—61no—
633C3×C4—61no—
634C3×C4—61no—
635C3×C4—121no—
636C3×C4—121no—
637C3×C4—121no—
638C3×C4—121no—
639C3×C4C2×#23511yescharacteristic
640C3×C4C2×#23511yescharacteristic
641C3×C4C2×#23711yescharacteristic
642C3×C4C2×#23711yescharacteristic
643Dic3—21no—
644Dic3—21no—
645Dic3—21no—
646Dic3—21no—
647Dic3—41no—
648Dic3—41no—
649Dic3—41no—
650Dic3—41no—
651Dic3—121no—
652Dic3—121no—
653Dic3—121no—
654Dic3—121no—
655Dic3—241no—
656Dic3—241no—
657C32#312011yescharacteristic, complemented, Sylow
658C23—21no—
659C23D3×#6711yescharacteristic
660Q8—21no—
661Q8—61no—
662Q8—61no—
663Q8—181no—
664Q8—181no—
665Q8#380412yes—
666D4—24no—
667D4—21no—
668D4#380412yes—
669C2×C4—24no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—31no—
674C2×C4—31no—
675C2×C4—31no—
676C2×C4—31no—
677C2×C4—61no—
678C2×C4—61no—
679C2×C4—61no—
680C2×C4—61no—
681C2×C4—181no—
682C2×C4—181no—
683C2×C4—241no—
684C2×C4—241no—
685C2×C4—241no—
686C2×C4D3×#6711yescharacteristic
687C2×C4C22×D3211yescharacteristic
688C8—61no—
689C8—61no—
690C8—181no—
691C8—181no—
692C2×C3—21no—
693C2×C3—21no—
694C2×C3—21no—
695C2×C3—41no—
696C2×C3—42no—
697C2×C3—41no—
698C2×C3—42no—
699C2×C3—81no—
700C2×C3—82no—
701C2×C3#558611yescharacteristic
702C2×C3#577011yescharacteristic
703C2×C3#577911yescharacteristic
704C2×C3#579111yescharacteristic
705C2×C3#583611yescharacteristic
706C2×C3#583811yescharacteristic
707C22—21no—
708C22—21no—
709C22—21no—
710C22—22no—
711C22—41no—
712C22—41no—
713C22C2×D3×#6711yescharacteristic
714C4—21no—
715C4—22no—
716C4—61no—
717C4—61no—
718C4—61no—
719C4—61no—
720C4—121no—
721C4—121no—
722C4—121no—
723C4—121no—
724C4—361no—
725C4—361no—
726C4C2×#380411yescharacteristic
727C4C2×#380411yescharacteristic
728C3—21no—
729C3#8021611yescharacteristic, complemented
730C3#8257511yescharacteristic, complemented
731C2—41no—
732C2—42no—
733C2#1059546511yescharacteristic
734C2#1059546611yescharacteristic
735C2#1059549811yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
Fitting, prime radicalC2×C32×#41C22
socleC22×C32C22×D4
hypercenterC2×#41D32
hypocenterC32#3120
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C2×#41

Complements

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

NH ≅ G/Ntype
2. #10594824C2semidirect
5. #10591625C2semidirect
6. #10591576C2semidirect
7. #10591545C2semidirect
8. #10591537C2semidirect
9. #10591489C2semidirect
10. Dic3×#214C2semidirect
11. #10591409C2semidirect
12. #10591405C2semidirect
13. #10591132C2semidirect
14. #10591124C2semidirect
15. #10591056C2semidirect
657. C32#3120semidirect
729. C3#80216semidirect
730. C3#82575semidirect

Maximal subgroups

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

subgroupindex
C3×#58272
#105948242
#105929382
C3×#52392
#105916252
#105915762
#105915452
#105915372
#105914892
Dic3×#2142
#105914092
#105914052
#105911322
#105911242
#105910562
#825753
#802163