Finite Group Databasebeta

← #11876895

Subgroups — #11876895

Order 1152.

800 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
1C3×#5624C211yesmaximal, characteristic, complemented
2#10594955C211yesmaximal, characteristic, complemented
3#10592748C211yesmaximal, characteristic, complemented
4C3×#5052C211yesmaximal, characteristic, complemented
5#10591614C211yesmaximal, characteristic, complemented
6#10591609C211yesmaximal, characteristic, complemented
7#10591576C211yesmaximal, characteristic, complemented
8#10591540C211yesmaximal, characteristic, complemented
9#10591180C211yesmaximal, characteristic, complemented
10#10591165C211yesmaximal, characteristic
11Dic3×#208C211yesmaximal, characteristic, complemented
12#10590589C211yesmaximal, characteristic, complemented
13#10590537C211yesmaximal, characteristic, complemented
14#10590478C211yesmaximal, characteristic, complemented
15#10590414C211yesmaximal, characteristic, complemented
16#83139—31nomaximal
17#80892—31nomaximal
18C32×C22⋊Q8C2211yescharacteristic
19C2×#3755C2211yescharacteristic
20#64139C2211yescharacteristic
21C2×#3748C2211yescharacteristic
22C3×#947C2211yescharacteristic
23C3×Q8×Dic3C2211yescharacteristic
24C2×C3×#216C2211yescharacteristic
25C3×#930C2211yescharacteristic
26C3×#924C2211yescharacteristic
27C2×C3×C4×Dic3C2211yescharacteristic
28C2×C3×#208C2211yescharacteristic
29C3×#898—21no—
30C3×#893C2211yescharacteristic
31C3×#892—21no—
32C3×#890C2211yescharacteristic
33C3×#886—21no—
34C3×#67⋊C4—21no—
35#63966—21no—
36#63952—21no—
37#63894C2211yescharacteristic
38#63869C2211yescharacteristic
39#63868—21no—
40#63864C2211yescharacteristic
41Dic3×Dic6C2211yescharacteristic
42#63836—21no—
43C2×#3715C2211yescharacteristic
44C2×#3714C2211yescharacteristic
45#63662C2211yescharacteristic
46#63636C2211yescharacteristic
47#63634C2211yescharacteristic
48C3×#835C2211yescharacteristic
49C3×#810C2211yescharacteristic
50C3×#808C2211yescharacteristic
51#63576C2211yescharacteristic
52#63573C2211yescharacteristic
53#63565C2211yescharacteristic
54#63564C2211yescharacteristic
55#63563C2211yescharacteristic
56#63562C2211yescharacteristic
57#63554C2211yescharacteristic
58#63554C2211yescharacteristic
59Dic3×C3⋊C8C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×#529—31no—
62#5624—31no—
63#5624D311yescharacteristic, complemented
64#5479—31no—
65C3×#470—31no—
66#5191—31no—
67#5184—31no—
68#5135—31no—
69Dic3×M16—31no—
70#5068—31no—
71#5065—31no—
72#5059—31no—
73#5056—31no—
74#5052D311yescharacteristic, complemented
75#5049—31no—
76#5049—31no—
77#5049—31no—
78#5049—61no—
79#5042—31no—
80#5039—31no—
81#5030—31no—
82#5026—31no—
83#5018—31no—
84#5014—31no—
85C4×#208—31no—
86#4869—31no—
87#4858—31no—
88#4817—31no—
89#4817—31no—
90#4800—31no—
91#4800—31no—
92C2×C32×Q8C2311yescharacteristic
93C22×C32×C4C2311yescharacteristic
94C2×#638—21no—
95C2×C4⋊(C3⋊D3)C2311yescharacteristic
96C2×C3×#67—21no—
97C22×C3×Dic3D411yescharacteristic
98C22×C3×Dic3D411yescharacteristic
99C2×C3×D12C2311yescharacteristic
100C2×C3×C4×D3—21no—
101C2×C3×Dic6C2311yescharacteristic
102C2×#624—21no—
103C32×C4⋊C4—21no—
104C32×C4⋊C4C2311yescharacteristic
105C32×C22⋊C4—21no—
106#3755—22no—
107#3752—21no—
108C4⋊(C3⋊Dic3)C2311yescharacteristic
109#3748—22no—
110C2×C3⋊(C3⋊C8)C2311yescharacteristic
111C2×C3⋊(C3⋊C8)C2311yescharacteristic
112C3×#217—21no—
113C3×#216—22no—
114C3×(C2×D3)⋊C4—21no—
115C3×(C2×D3)⋊C4—21no—
116C3×(C2×D3)⋊C4—21no—
117C3×(C2×D3)⋊C4—21no—
118C3×C4⋊Dic3—21no—
119C3×C4⋊Dic3—21no—
120C3×C4⋊Dic3C2311yescharacteristic
121C3×C4⋊Dic3C2311yescharacteristic
122C3×Dic3⋊C4—21no—
123C3×Dic3⋊C4—21no—
124C3×C4×Dic3—21no—
125C3×C4×Dic3D411yescharacteristic
126C3×C4×Dic3D411yescharacteristic
127C3×C4×Dic3C2311yescharacteristic
128C3×C4×Dic3C2311yescharacteristic
129C3×#208—22no—
130C2×C3×C3⋊C8C2311yescharacteristic
131C2×C3×C3⋊C8C2311yescharacteristic
132#3724—21no—
133Dic3⋊Dic3—21no—
134Dic3⋊Dic3—21no—
135#3722—21no—
136#3722—21no—
137#3722—21no—
138Dic32—21no—
139#3715—22no—
140#3714—22no—
141#3183—91noSylow
142C2×C3×Q16—31no—
143C2×C3×M16—31no—
144C3×#126—61no—
145C3×#125—31no—
146C3×#124—31no—
147C3×#123—61no—
148C3×C22⋊Q8—21no—
149C3×C22⋊Q8—31no—
150C3×C22⋊Q8C2×D311yescharacteristic
151C3×C22⋊Q8C2×D311yescharacteristic
152C3×#121—31no—
153C3×C4×Q8—31no—
154C3×C4×D4—31no—
155C3×C4×D4—61no—
156C3×#117—61no—
157C2×C3×C42—31no—
158#947—31no—
159#947C2×D311yescharacteristic
160Q8×Dic3—31no—
161Q8×Dic3C2×D311yescharacteristic
162C2×#216C2×D311yescharacteristic
163C2×#215—31no—
164C2×#215—31no—
165C2×#215—31no—
166C2×#215—61no—
167C2×#214—31no—
168C2×#213—31no—
169#930—31no—
170#930—31no—
171#930—61no—
172#930C2×D311yescharacteristic
173#929—61no—
174C4×#67—61no—
175#924C2×D311yescharacteristic
176C2×C4×Dic3C2×D311yescharacteristic
177C2×#208—31no—
178C2×#208—31no—
179C2×#208—61no—
180C2×#208C2×D311yescharacteristic
181C2×D24—31no—
182#898—21no—
183#898—61no—
184#893—31no—
185#893C2×D311yescharacteristic
186#892—21no—
187#892—61no—
188#890—31no—
189#890C2×D311yescharacteristic
190#886—21no—
191#886—61no—
192#67⋊C4—21no—
193#67⋊C4—61no—
194#876—61no—
195#875—31no—
196C4×D12—31no—
197#872—61no—
198#870—31no—
199C4×Dic6—31no—
200C3×#106—31no—
201C3×#103—31no—
202C3×#103—31no—
203#835—31no—
204#835—31no—
205#835—31no—
206#835—61no—
207#835C2×D311yescharacteristic
208#832—31no—
209#832—31no—
210#821—31no—
211#821—31no—
212#817—31no—
213#815—31no—
214#815—31no—
215C8×Dic3—31no—
216C8×Dic3—31no—
217#810—31no—
218#810C2×D311yescharacteristic
219#809—31no—
220#809—31no—
221#809—31no—
222#809—31no—
223#809—61no—
224#808—31no—
225#808C2×D311yescharacteristic
226#807—31no—
227#807—31no—
228#807—31no—
229#807—31no—
230#807—61no—
231#803—31no—
232#803—31no—
233C4×C3⋊C8—31no—
234C4×C3⋊C8—31no—
235C23×C32C2×D411yescharacteristic
236C22×C3⋊D3—21no—
237C22×C3×D3—21no—
238C32×Q8—21no—
239C32×Q8—21no—
240C2×C32×C4—21no—
241C2×C32×C4—21no—
242C2×C32×C4—21no—
243C2×C32×C4—21no—
244C2×C32×C4C2×D411yescharacteristic
245C2×C32×C4C2411yescharacteristic
246#638—42no—
247C2×C3⋊Dic3—21no—
248C4⋊(C3⋊D3)—21no—
249C4⋊(C3⋊D3)—21no—
250C3×#67—42no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—21no—
254C2×C3×Dic3—41no—
255C2×C3×Dic3—41no—
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C2×C3×Dic3C2×D411yescharacteristic
259C2×C3×Dic3C2×D411yescharacteristic
260C3×D12—21no—
261C3×D12—21no—
262C3×C4×D3—42no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265#624—42no—
266C3⋊(C3⋊C8)—21no—
267C3⋊(C3⋊C8)#4112yes—
268C3×C3⋊C8—21no—
269C3×C3⋊C8#4112yes—
270#529—31no—
271#529—91no—
272#499—91no—
273#495—91no—
274#488—91no—
275#488—91no—
276#470—31no—
277#469—91no—
278#468—91no—
279#468—91no—
280#442—91no—
281#441—91no—
282#440—91no—
283#440—91no—
284C4×M16—91no—
285C2×C3×Q8—21no—
286C2×C3×Q8—31no—
287C2×C3×Q8C22×D311yescharacteristic
288C2×C3×Q8C22×D311yescharacteristic
289C2×C3×D4—31no—
290C2×C3×D4—61no—
291C22×C3×C4—21no—
292C22×C3×C4—31no—
293C22×C3×C4—31no—
294C22×C3×C4—61no—
295C22×C3×C4C22×D311yescharacteristic
296C22×C3×C4C22×D311yescharacteristic
297C2×#67—21no—
298C2×#67—61no—
299C2×#67—61no—
300C2×#67—121no—
301C22×Dic3#6711yescharacteristic
302C22×Dic3#6711yescharacteristic
303C2×D12—31no—
304C2×D12—31no—
305C2×D12—61no—
306C2×D12C22×D311yescharacteristic
307C2×C4×D3—21no—
308C2×C4×D3—61no—
309C2×C4×D3—61no—
310C2×Dic6C22×D311yescharacteristic
311C3×Q16—62no—
312C3×M16—62no—
313C2×C3×C8—31no—
314C2×C3×C8—31no—
315C3×C4⋊C4—21no—
316C3×C4⋊C4—21no—
317C3×C4⋊C4—21no—
318C3×C4⋊C4—31no—
319C3×C4⋊C4—31no—
320C3×C4⋊C4—41no—
321C3×C4⋊C4—61no—
322C3×C4⋊C4—61no—
323C3×C4⋊C4—61no—
324C3×C4⋊C4—61no—
325C3×C4⋊C4C22×D311yescharacteristic
326C3×C4⋊C4C22×D311yescharacteristic
327C3×C22⋊C4—21no—
328C3×C22⋊C4—21no—
329C3×C22⋊C4—41no—
330C3×C22⋊C4—61no—
331C3×C22⋊C4—61no—
332C3×C22⋊C4—61no—
333C3×C22⋊C4—61no—
334C3×C22⋊C4—61no—
335C3×C42—31no—
336C3×C42—31no—
337C3×C42—31no—
338C3×C42—31no—
339C3×C42—61no—
340#217—21no—
341#216—22no—
342#215—62no—
343#215—62no—
344#215—62no—
345#215—122no—
346#214—62no—
347#213—62no—
348(C2×D3)⋊C4—21no—
349(C2×D3)⋊C4—21no—
350(C2×D3)⋊C4—21no—
351(C2×D3)⋊C4—21no—
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—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4—121no—
361C4⋊Dic3—21no—
362C4⋊Dic3—21no—
363C4⋊Dic3—31no—
364C4⋊Dic3—31no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3C22×D311yescharacteristic
369C4⋊Dic3C22×D311yescharacteristic
370Dic3⋊C4—21no—
371Dic3⋊C4—21no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376C4×Dic3—21no—
377C4×Dic3—61no—
378C4×Dic3—61no—
379C4×Dic3#6711yescharacteristic
380C4×Dic3#6711yescharacteristic
381C4×Dic3C22×D311yescharacteristic
382C4×Dic3C22×D311yescharacteristic
383#208—22no—
384#208—62no—
385#208—62no—
386#208—122no—
387C2×C3⋊C8—31no—
388C2×C3⋊C8—31no—
389C2×C3⋊C8—31no—
390C2×C3⋊C8—31no—
391C2×C3⋊C8—61no—
392C2×C3⋊C8—61no—
393C2×C3⋊C8C22×D311yescharacteristic
394C2×C3⋊C8C22×D311yescharacteristic
395D24—62no—
396C22×C32—21no—
397C22×C32—21no—
398C22×C32—21no—
399C22×C32C22×D411yescharacteristic
400C2×C3⋊D3—41no—
401C2×C3⋊D3—41no—
402C2×C3⋊D3—41no—
403C2×C3×D3—41no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C32×C4—21no—
407C32×C4—41no—
408C32×C4—41no—
409C32×C4C2×#4111yescharacteristic
410C32×C4C2×#4111yescharacteristic
411C3⋊Dic3—41no—
412C3×Dic3—21no—
413C3×Dic3—21no—
414C3×Dic3—21no—
415C3×Dic3—21no—
416C3×Dic3—41no—
417C3×Dic3—41no—
418C3×Dic3—41no—
419C2×Q16—31no—
420C2×SD16—91no—
421C2×SD16—91no—
422C2×D8—91no—
423C2×M16—31no—
424C2×M16—91no—
425#126—61no—
426#126—181no—
427#125—31no—
428#125—91no—
429#124—31no—
430#124—91no—
431#123—61no—
432#123—181no—
433C22⋊Q8—31no—
434C22⋊Q8D3211yescharacteristic
435#121—31no—
436#121—91no—
437C4×Q8—31no—
438C4×Q8—91no—
439C4×D4—31no—
440C4×D4—61no—
441C4×D4—91no—
442C4×D4—181no—
443#117—61no—
444#117—181no—
445C2×C42—31no—
446#107—91no—
447#107—91no—
448#106—31no—
449#106—91no—
450#103—31no—
451#103—31no—
452#103—91no—
453#103—91no—
454#102—91no—
455#102—91no—
456#102—91no—
457#102—91no—
458#97—91no—
459#97—91no—
460C4×C8—91no—
461C4×C8—91no—
462C23×C3—21no—
463C23×C3—61no—
464C23×C3D3×D411yescharacteristic
465C23×C3C2×#6711yescharacteristic
466C22×D3—21no—
467C22×D3—61no—
468C22×D3—61no—
469C22×D3—121no—
470C3×Q8—21no—
471C3×Q8—21no—
472C3×Q8—21no—
473C3×Q8—21no—
474C3×Q8—41no—
475C3×Q8—41no—
476C3×Q8—61no—
477C3×Q8—61no—
478C3×D4—61no—
479C3×D4—61no—
480C3×D4—122no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—21no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—21no—
488C2×C3×C4—21no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—31no—
492C2×C3×C4—31no—
493C2×C3×C4—31no—
494C2×C3×C4—31no—
495C2×C3×C4—41no—
496C2×C3×C4—41no—
497C2×C3×C4—41no—
498C2×C3×C4—41no—
499C2×C3×C4—61no—
500C2×C3×C4—61no—
501C2×C3×C4—61no—
502C2×C3×C4—122no—
503C2×C3×C4—121no—
504C2×C3×C4—121no—
505C2×C3×C4D3×D411yescharacteristic
506C2×C3×C4C2×#6711yescharacteristic
507C2×C3×C4C23×D311yescharacteristic
508C2×C3×C4C23×D311yescharacteristic
509#67—42no—
510#67—122no—
511#67—122no—
512#67—242no—
513C2×Dic3—21no—
514C2×Dic3—21no—
515C2×Dic3—21no—
516C2×Dic3—41no—
517C2×Dic3—41no—
518C2×Dic3—61no—
519C2×Dic3—61no—
520C2×Dic3—121no—
521C2×Dic3C2×#6711yescharacteristic
522C2×Dic3C2×#6711yescharacteristic
523C2×Dic3C2×#6711yescharacteristic
524C2×Dic3C2×#6711yescharacteristic
525D12—21no—
526D12—21no—
527D12—61no—
528D12—61no—
529D12—61no—
530D12—61no—
531D12—121no—
532D12—121no—
533C4×D3—42no—
534C4×D3—122no—
535C4×D3—122no—
536Dic6—21no—
537Dic6—21no—
538C3×C8—32no—
539C3×C8—61no—
540C3⋊C8—21no—
541C3⋊C8—32no—
542C3⋊C8—32no—
543C3⋊C8—62no—
544C3⋊C8—61no—
545C3⋊C8—61no—
546C3⋊C8—121no—
547C3⋊C8#23712yes—
548C2×C32—41no—
549C2×C32#53211yescharacteristic
550C2×C32#57511yescharacteristic
551C2×C32#57511yescharacteristic
552C3⋊D3—81no—
553C3×D3—81no—
554C2×Q8—31no—
555C2×Q8C2×D3211yescharacteristic
556C2×D4—31no—
557C2×D4—61no—
558C2×D4—91no—
559C2×D4—181no—
560C22×C4—31no—
561C22×C4—31no—
562C22×C4—61no—
563C22×C4—181no—
564C22×C4C2×D3211yescharacteristic
565Q16—62no—
566SD16—182no—
567SD16—182no—
568D8—182no—
569M16—62no—
570M16—182no—
571C2×C8—31no—
572C2×C8—31no—
573C2×C8—91no—
574C2×C8—91no—
575C4⋊C4—21no—
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⋊C4C2×D3211yescharacteristic
587C22⋊C4—21no—
588C22⋊C4—61no—
589C22⋊C4—61no—
590C22⋊C4—61no—
591C22⋊C4—61no—
592C22⋊C4—61no—
593C22⋊C4—181no—
594C22⋊C4—181no—
595C22⋊C4—181no—
596C22⋊C4—181no—
597C42—31no—
598C42—31no—
599C42—31no—
600C42—31no—
601C42—61no—
602C42—181no—
603C22×C3—21no—
604C22×C3—21no—
605C22×C3—21no—
606C22×C3—21no—
607C22×C3—21no—
608C22×C3—21no—
609C22×C3—21no—
610C22×C3—41no—
611C22×C3—41no—
612C22×C3—41no—
613C22×C3—121no—
614C22×C3—121no—
615C22×C3—121no—
616C22×C3C2×D3×D411yescharacteristic
617C22×C3C22×#6711yescharacteristic
618C2×D3—41no—
619C2×D3—41no—
620C2×D3—41no—
621C2×D3—121no—
622C2×D3—121no—
623C2×D3—121no—
624C2×D3—121no—
625C2×D3—121no—
626C2×D3—121no—
627C2×D3—241no—
628C2×D3—241no—
629C2×D3—241no—
630C3×C4—21no—
631C3×C4—21no—
632C3×C4—21no—
633C3×C4—21no—
634C3×C4—41no—
635C3×C4—41no—
636C3×C4—41no—
637C3×C4—41no—
638C3×C4—41no—
639C3×C4—61no—
640C3×C4—61no—
641C3×C4—61no—
642C3×C4—61no—
643C3×C4—81no—
644C3×C4—81no—
645C3×C4—121no—
646C3×C4—121no—
647C3×C4—121no—
648C3×C4C2×#23711yescharacteristic
649C3×C4D3×#4111yescharacteristic
650C3×C4D3×#4111yescharacteristic
651C3×C4D3×#4111yescharacteristic
652Dic3—21no—
653Dic3—21no—
654Dic3—21no—
655Dic3—21no—
656Dic3—41no—
657Dic3—41no—
658Dic3—41no—
659Dic3—121no—
660Dic3—121no—
661Dic3—241no—
662C32#318311yescharacteristic, complemented, Sylow
663C23—61no—
664C23—181no—
665C23D3×#6711yescharacteristic
666Q8—21no—
667Q8—21no—
668Q8—61no—
669Q8—61no—
670D4—61no—
671D4—61no—
672D4—122no—
673D4—181no—
674D4—181no—
675D4—362no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—31no—
681C2×C4—31no—
682C2×C4—31no—
683C2×C4—31no—
684C2×C4—61no—
685C2×C4—61no—
686C2×C4—61no—
687C2×C4—122no—
688C2×C4—121no—
689C2×C4—121no—
690C2×C4—181no—
691C2×C4—362no—
692C2×C4D3×#6711yescharacteristic
693C2×C4C22×D3211yescharacteristic
694C8—32no—
695C8—61no—
696C8—92no—
697C8—181no—
698C2×C3—21no—
699C2×C3—21no—
700C2×C3—21no—
701C2×C3—41no—
702C2×C3—41no—
703C2×C3—81no—
704C2×C3—241no—
705C2×C3#559611yescharacteristic
706C2×C3#577711yescharacteristic
707C2×C3#577711yescharacteristic
708C2×C3#582211yescharacteristic
709C2×C3#582211yescharacteristic
710C2×C3#583211yescharacteristic
711D3—81no—
712D3—241no—
713D3—241no—
714D3—481no—
715C22—21no—
716C22—21no—
717C22—21no—
718C22—121no—
719C22—121no—
720C22—121no—
721C22—361no—
722C22—361no—
723C22—361no—
724C22C2×D3×#6711yescharacteristic
725C4—21no—
726C4—41no—
727C4—41no—
728C4—61no—
729C4—61no—
730C4—61no—
731C4—61no—
732C4—121no—
733C4—121no—
734C4—121no—
735C4—361no—
736C4D3×#23711yescharacteristic
737C4#6431211yescharacteristic
738C3—21no—
739C3#8089211yescharacteristic, complemented
740C3#8313911yescharacteristic, complemented
741C2—41no—
742C2—241no—
743C2—721no—
744C2#1059515511yescharacteristic
745C2#1059531711yescharacteristic
746C2#1059547011yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C22⋊Q8C22
socleC22×C32C22×D4
prime radical#10591165C2
hypercenterC22⋊Q8D32
hypocenterC32#3183
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C3×#5624C2semidirect
2. #10594955C2semidirect
3. #10592748C2semidirect
4. C3×#5052C2semidirect
5. #10591614C2semidirect
6. #10591609C2semidirect
7. #10591576C2semidirect
8. #10591540C2semidirect
9. #10591180C2semidirect
11. Dic3×#208C2semidirect
12. #10590589C2semidirect
13. #10590537C2semidirect
14. #10590478C2semidirect
15. #10590414C2semidirect
63. #5624D3semidirect
74. #5052D3semidirect
662. C32#3183semidirect
739. C3#80892semidirect
740. C3#83139semidirect

Maximal subgroups

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

subgroupindex
C3×#56242
#105949552
#105927482
C3×#50522
#105916142
#105916092
#105915762
#105915402
#105911802
#105911652
Dic3×#2082
#105905892
#105905372
#105904782
#105904142
#831393
#808923