Finite Group Databasebeta

← #11870596

Subgroups — #11870596

Order 1152.

845 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10594955C211yesmaximal, characteristic, complemented
2Dic3×#235C211yesmaximal, characteristic, complemented
3#10592436C211yesmaximal, characteristic, complemented
4C3×#4733C211yesmaximal, characteristic, complemented
5C3×#4718C211yesmaximal, characteristic, complemented
6#10591163C211yesmaximal, characteristic
7#10591127C211yesmaximal, characteristic, complemented
8#10590815C211yesmaximal, characteristic, complemented
9Dic3×Dic12C211yesmaximal, characteristic, complemented
10#10590801C211yesmaximal, characteristic, complemented
11#10590792C211yesmaximal, characteristic, complemented
12#10590767C211yesmaximal, characteristic, complemented
13Dic3×#204C211yesmaximal, characteristic, complemented
14#10590754C211yesmaximal, characteristic, complemented
15#10590745C211yesmaximal, characteristic, complemented
16#80212—31nomaximal
17#79299—31nomaximal
18C2×C3×#235C2211yescharacteristic
19#64139C2211yescharacteristic
20#64135C2211yescharacteristic
21C3×#924C2211yescharacteristic
22C2×C3×C4×Dic3C2211yescharacteristic
23C2×C3×Dic12C2211yescharacteristic
24C2×C3×#204C2211yescharacteristic
25Dic3×#67—21no—
26Dic3×#67—21no—
27#63966—21no—
28#63952—21no—
29#63894C2211yescharacteristic
30Dic3×D12C2211yescharacteristic
31Dic3×D12C2211yescharacteristic
32C4×D3×Dic3—21no—
33#63869C2211yescharacteristic
34#63868—21no—
35#63864C2211yescharacteristic
36#63855—21no—
37Dic3×Dic6C2211yescharacteristic
38Dic3×Dic6C2211yescharacteristic
39Dic3×Dic6C2211yescharacteristic
40#63836—21no—
41C2×#3717C2211yescharacteristic
42C2×#3714C2211yescharacteristic
43C32×C22⋊C8C2211yescharacteristic
44#63648C2211yescharacteristic
45#63648C2211yescharacteristic
46#63645C2211yescharacteristic
47#63644C2211yescharacteristic
48C3×#830C2211yescharacteristic
49C3×#821C2211yescharacteristic
50C3×#816C2211yescharacteristic
51C3×Dic3⋊C8C2211yescharacteristic
52C3×Dic3⋊C8C2211yescharacteristic
53C3×C8×Dic3C2211yescharacteristic
54C3×C8×Dic3C2211yescharacteristic
55#63575C2211yescharacteristic
56#63573C2211yescharacteristic
57#63566C2211yescharacteristic
58#63566C2211yescharacteristic
59#63566C2211yescharacteristic
60#63563C2211yescharacteristic
61Dic3×#41—31no—
62#5624—31no—
63#5479—31no—
64C4×#235—31no—
65C3×#452—31no—
66C3×#431—31no—
67#5238—31no—
68#5185—31no—
69Dic3×Q16—31no—
70#5165—31no—
71Dic3×SD16—31no—
72#5045—31no—
73#4847—31no—
74#4845—31no—
75#4844—31no—
76#4829—31no—
77#4799—31no—
78#4788—31no—
79#4766—31no—
80#4756—31no—
81#4737—31no—
82#4737—31no—
83#4737—61no—
84#4734—31no—
85#4733D311yescharacteristic, complemented
86#4723—31no—
87#4718D311yescharacteristic, complemented
88C4×Dic12—31no—
89C4×D24—31no—
90C4×#204—31no—
91C4×#204—31no—
92C22×C32×C4C2311yescharacteristic
93C2×#638—21no—
94C2×C4⋊(C3⋊D3)C2311yescharacteristic
95C2×C3×#67—21no—
96C22×C3×Dic3D411yescharacteristic
97C22×C3×Dic3D411yescharacteristic
98C3×#235—22no—
99C3×#235—22no—
100C2×C3×D12C2311yescharacteristic
101C2×C3×C4×D3—21no—
102C2×C3×Dic6C2311yescharacteristic
103C2×C3×Dic6C2311yescharacteristic
104C2×#624—21no—
105C2×D3×Dic3—21no—
106C2×D3×Dic3—21no—
107C2×C32×C8C2311yescharacteristic
108C2×C32×C8C2311yescharacteristic
109#3757—21no—
110#3752—21no—
111C4⋊(C3⋊Dic3)C2311yescharacteristic
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113C4⋊(C3⋊Dic3)C2311yescharacteristic
114C4×C3⋊Dic3—21no—
115C3×#217—21no—
116C3×C4⋊Dic3C2311yescharacteristic
117C3×Dic3⋊C4—21no—
118C3×C4×Dic3D411yescharacteristic
119C3×C4×Dic3D411yescharacteristic
120C3×C4×Dic3C2311yescharacteristic
121C3×C4×Dic3C2311yescharacteristic
122C2×C3×C3⋊C8C2311yescharacteristic
123C2×C3×C3⋊C8C2311yescharacteristic
124C3×Dic12—22no—
125C3×#204—22no—
126#3724—21no—
127Dic3⋊Dic3—21no—
128Dic3⋊Dic3—21no—
129Dic3⋊Dic3—21no—
130Dic3⋊Dic3—21no—
131#3722—21no—
132#3722—21no—
133#3722—21no—
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136Dic32—21no—
137Dic32—21no—
138Dic32—21no—
139#3717—22no—
140#3714—22no—
141#3102—91noSylow
142C2×C3×#41—31no—
143C2×#235C2×D311yescharacteristic
144C2×C3×Q16—31no—
145C2×C3×SD16—31no—
146C3×C22⋊Q8—31no—
147C2×C3×C42—31no—
148#947—31no—
149Q8×Dic3—31no—
150Q8×Dic3—31no—
151Q8×Dic3—31no—
152C2×#215—31no—
153D4×Dic3—31no—
154D4×Dic3—31no—
155D4×Dic3—61no—
156D4×Dic3—61no—
157C2×#213—31no—
158#930—31no—
159#930—31no—
160#930—61no—
161#929—61no—
162C4×#67—61no—
163C4×#67—61no—
164C4×#67—61no—
165#926—31no—
166#926—31no—
167#926—61no—
168#926—61no—
169#924C2×D311yescharacteristic
170C2×C4×Dic3—61no—
171C2×C4×Dic3C2×D311yescharacteristic
172C2×Dic12C2×D311yescharacteristic
173C2×D24—31no—
174C2×#204—31no—
175C2×#204C2×D311yescharacteristic
176#898—61no—
177#893—31no—
178#892—61no—
179#890—31no—
180#886—61no—
181#67⋊C4—61no—
182#876—61no—
183#875—31no—
184C4×D12—31no—
185C4×D12—31no—
186C4×D12—31no—
187#872—61no—
188#872—61no—
189C42×D3—61no—
190#870—31no—
191C4×Dic6—31no—
192C4×Dic6—31no—
193C4×Dic6—31no—
194C3×C4⋊C8—31no—
195C3×C4⋊C8—31no—
196C3×#103—31no—
197C3×#102—31no—
198C3×C22⋊C8—21no—
199C3×C22⋊C8—31no—
200C3×C22⋊C8C2×D311yescharacteristic
201C3×C22⋊C8C2×D311yescharacteristic
202C3×C4×C8—31no—
203C3×C4×C8—31no—
204#835—31no—
205#835—31no—
206#835—31no—
207#832—31no—
208#830C2×D311yescharacteristic
209#821—31no—
210#821—31no—
211#821—31no—
212#821—31no—
213#821—31no—
214#821—61no—
215#821—61no—
216#821C2×D311yescharacteristic
217#818—31no—
218#818—31no—
219#818—31no—
220#818—61no—
221#817—31no—
222#817—31no—
223#817—31no—
224#817—61no—
225#816—31no—
226#816—31no—
227#816—31no—
228#816C2×D311yescharacteristic
229Dic3⋊C8C2×D311yescharacteristic
230Dic3⋊C8C2×D311yescharacteristic
231C8×Dic3C2×D311yescharacteristic
232C8×Dic3C2×D311yescharacteristic
233#808—31no—
234#807—31no—
235C23×C32C2×D411yescharacteristic
236C22×C3⋊D3—21no—
237C22×C3×D3—21no—
238C2×C32×C4—21no—
239C2×C32×C4—21no—
240C2×C32×C4C2×D411yescharacteristic
241C2×C32×C4C2411yescharacteristic
242#638—42no—
243C2×C3⋊Dic3—21no—
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—21no—
246C4⋊(C3⋊D3)—21no—
247C4⋊(C3⋊D3)—21no—
248C3×#67—24no—
249C2×C3×Dic3—21no—
250C2×C3×Dic3—22no—
251C2×C3×Dic3—21no—
252C2×C3×Dic3—21no—
253C2×C3×Dic3—41no—
254C2×C3×Dic3C2×D411yescharacteristic
255C2×C3×Dic3C2×D411yescharacteristic
256C2×C3×Dic3C2×D411yescharacteristic
257C2×C3×Dic3C2×D411yescharacteristic
258C3×D12—21no—
259C3×D12#4112yes—
260C3×C4×D3—24no—
261C3×Dic6—21no—
262C3×Dic6—21no—
263C3×Dic6—21no—
264C3×Dic6#4112yes—
265#624—42no—
266D3×Dic3—42no—
267D3×Dic3—42no—
268C32×C8—21no—
269C32×C8—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#529—91no—
273C4×#41—91no—
274#485—91no—
275#482—91no—
276#479—91no—
277#478—91no—
278#464—91no—
279#463—91no—
280#452—31no—
281#449—91no—
282C4×Q16—91no—
283C4×SD16—91no—
284C4×SD16—91no—
285C4×D8—91no—
286#431—31no—
287C3×#41—62no—
288C3×#41—62no—
289C2×C3×Q8—31no—
290C2×C3×Q8—31no—
291C2×C3×D4—31no—
292C2×C3×D4—61no—
293C22×C3×C4—21no—
294C22×C3×C4—31no—
295C22×C3×C4—31no—
296C22×C3×C4—61no—
297C22×C3×C4C22×D311yescharacteristic
298C22×C3×C4C22×D311yescharacteristic
299C2×#67—21no—
300C2×#67—61no—
301C2×#67—61no—
302C2×#67—121no—
303C22×Dic3—61no—
304C22×Dic3—61no—
305C22×Dic3D1211yescharacteristic
306C22×Dic3D1211yescharacteristic
307#235—22no—
308#235—22no—
309C2×D12—31no—
310C2×D12—31no—
311C2×D12—61no—
312C2×D12C22×D311yescharacteristic
313C2×C4×D3—21no—
314C2×C4×D3—61no—
315C2×C4×D3—61no—
316C2×C4×D3—61no—
317C2×C4×D3—61no—
318C2×Dic6C22×D311yescharacteristic
319C2×Dic6C22×D311yescharacteristic
320C3×Q16—62no—
321C3×SD16—62no—
322C2×C3×C8—21no—
323C2×C3×C8—21no—
324C2×C3×C8—31no—
325C2×C3×C8—31no—
326C2×C3×C8C22×D311yescharacteristic
327C2×C3×C8C22×D311yescharacteristic
328C2×C3×C8C22×D311yescharacteristic
329C2×C3×C8C22×D311yescharacteristic
330C3×C4⋊C4—31no—
331C3×C4⋊C4—61no—
332C3×C22⋊C4—61no—
333C3×C42—31no—
334C3×C42—31no—
335C3×C42—31no—
336C3×C42—31no—
337#217—21no—
338#217—61no—
339#217—61no—
340#217—61no—
341#217—61no—
342#217—121no—
343#215—62no—
344#213—62no—
345(C2×D3)⋊C4—61no—
346(C2×D3)⋊C4—61no—
347(C2×D3)⋊C4—61no—
348(C2×D3)⋊C4—61no—
349(C2×D3)⋊C4—61no—
350(C2×D3)⋊C4—61no—
351(C2×D3)⋊C4—61no—
352(C2×D3)⋊C4—61no—
353(C2×D3)⋊C4—61no—
354(C2×D3)⋊C4—61no—
355(C2×D3)⋊C4—121no—
356C4⋊Dic3—31no—
357C4⋊Dic3—31no—
358C4⋊Dic3—31no—
359C4⋊Dic3—31no—
360C4⋊Dic3—31no—
361C4⋊Dic3—31no—
362C4⋊Dic3—61no—
363C4⋊Dic3—61no—
364C4⋊Dic3—61no—
365C4⋊Dic3—61no—
366C4⋊Dic3—61no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3C22×D311yescharacteristic
370Dic3⋊C4—21no—
371Dic3⋊C4—61no—
372Dic3⋊C4—61no—
373Dic3⋊C4—61no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377C4×Dic3—61no—
378C4×Dic3—61no—
379C4×Dic3—61no—
380C4×Dic3—61no—
381C4×Dic3—61no—
382C4×Dic3—61no—
383C4×Dic3—61no—
384C4×Dic3—61no—
385C4×Dic3—121no—
386C4×Dic3D1211yescharacteristic
387C4×Dic3D1211yescharacteristic
388C4×Dic3C22×D311yescharacteristic
389C4×Dic3C22×D311yescharacteristic
390C2×C3⋊C8C22×D311yescharacteristic
391C2×C3⋊C8C22×D311yescharacteristic
392Dic12—22no—
393D24—62no—
394#204—22no—
395#204—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—22no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C32×C4—21no—
407C32×C4C2×#4111yescharacteristic
408C32×C4C2×#4111yescharacteristic
409C3⋊Dic3—41no—
410C3⋊Dic3—41no—
411C3⋊Dic3—41no—
412C3×Dic3—22no—
413C3×Dic3—21no—
414C3×Dic3—21no—
415C3×Dic3—21no—
416C3×Dic3—41no—
417C3×Dic3—41no—
418C3×Dic3#13512yes—
419C2×#41—31no—
420C2×Q16—31no—
421C2×SD16—31no—
422C2×SD16—91no—
423C2×D8—91no—
424#126—181no—
425#125—91no—
426#124—91no—
427#123—181no—
428C22⋊Q8—31no—
429#121—91no—
430C4×Q8—91no—
431C4×Q8—91no—
432C4×Q8—91no—
433C4×D4—91no—
434C4×D4—91no—
435C4×D4—91no—
436C4×D4—181no—
437C4×D4—181no—
438C4×D4—181no—
439#117—91no—
440#117—181no—
441#117—181no—
442C2×C42—31no—
443C2×C42—181no—
444#107—91no—
445#107—91no—
446#106—91no—
447#106—91no—
448C4⋊C8—31no—
449C4⋊C8—31no—
450#103—31no—
451#103—91no—
452#103—91no—
453#103—91no—
454#102—31no—
455#102—91no—
456#102—91no—
457#102—91no—
458C22⋊C8—31no—
459C22⋊C8D3211yescharacteristic
460C4×C8—31no—
461C4×C8—31no—
462C23×C3—21no—
463C23×C3—61no—
464C23×C3C2×D1211yescharacteristic
465C23×C3D3×D411yescharacteristic
466C22×D3—21no—
467C22×D3—61no—
468C22×D3—61no—
469C22×D3—121no—
470C3×Q8—32no—
471C3×Q8—61no—
472C3×Q8—61no—
473C3×Q8—61no—
474C3×D4—32no—
475C3×D4—64no—
476C3×D4—61no—
477C2×C3×C4—21no—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—21no—
481C2×C3×C4—21no—
482C2×C3×C4—21no—
483C2×C3×C4—31no—
484C2×C3×C4—31no—
485C2×C3×C4—31no—
486C2×C3×C4—31no—
487C2×C3×C4—41no—
488C2×C3×C4—41no—
489C2×C3×C4—64no—
490C2×C3×C4—62no—
491C2×C3×C4—61no—
492C2×C3×C4—61no—
493C2×C3×C4—61no—
494C2×C3×C4—121no—
495C2×C3×C4C2×D1211yescharacteristic
496C2×C3×C4D3×D411yescharacteristic
497C2×C3×C4C23×D311yescharacteristic
498C2×C3×C4C23×D311yescharacteristic
499#67—24no—
500#67—122no—
501#67—122no—
502#67—242no—
503C2×Dic3—21no—
504C2×Dic3—22no—
505C2×Dic3—21no—
506C2×Dic3—21no—
507C2×Dic3—41no—
508C2×Dic3—61no—
509C2×Dic3—61no—
510C2×Dic3—61no—
511C2×Dic3—61no—
512C2×Dic3—61no—
513C2×Dic3—61no—
514C2×Dic3—121no—
515C2×Dic3—121no—
516C2×Dic3—121no—
517C2×Dic3—122no—
518C2×Dic3—122no—
519C2×Dic3C2×D1211yescharacteristic
520C2×Dic3C2×D1211yescharacteristic
521C2×Dic3C2×D1211yescharacteristic
522C2×Dic3C2×D1211yescharacteristic
523D12—21no—
524D12—61no—
525D12—61no—
526D12—61no—
527D12—61no—
528D12—121no—
529D12—121no—
530D12#23712yes—
531C4×D3—24no—
532C4×D3—122no—
533C4×D3—122no—
534C4×D3—122no—
535C4×D3—122no—
536Dic6—21no—
537Dic6—21no—
538Dic6—21no—
539Dic6#23712yes—
540C3×C8—21no—
541C3×C8—21no—
542C3×C8—21no—
543C3×C8—21no—
544C3×C8—41no—
545C3×C8—41no—
546C3×C8—61no—
547C3×C8—61no—
548C3⋊C8—21no—
549C3⋊C8—21no—
550C2×C32—41no—
551C2×C32#52511yescharacteristic
552C2×C32C2×#13511yescharacteristic
553C2×C32#57511yescharacteristic
554C3⋊D3—81no—
555C3×D3—42no—
556#41—62no—
557#41—62no—
558C2×Q8—31no—
559C2×Q8—31no—
560C2×D4—31no—
561C2×D4—61no—
562C2×D4—91no—
563C2×D4—181no—
564C22×C4—31no—
565C22×C4—31no—
566C22×C4—61no—
567C22×C4—181no—
568C22×C4—181no—
569C22×C4—181no—
570C22×C4C2×D3211yescharacteristic
571Q16—62no—
572SD16—62no—
573SD16—182no—
574D8—182no—
575C2×C8—31no—
576C2×C8—31no—
577C2×C8C2×D3211yescharacteristic
578C2×C8C2×D3211yescharacteristic
579C4⋊C4—31no—
580C4⋊C4—61no—
581C4⋊C4—91no—
582C4⋊C4—91no—
583C4⋊C4—91no—
584C4⋊C4—181no—
585C4⋊C4—181no—
586C4⋊C4—181no—
587C4⋊C4—181no—
588C4⋊C4—181no—
589C22⋊C4—61no—
590C22⋊C4—181no—
591C22⋊C4—181no—
592C22⋊C4—181no—
593C22⋊C4—181no—
594C22⋊C4—181no—
595C22⋊C4—181no—
596C22⋊C4—181no—
597C42—31no—
598C42—31no—
599C42—31no—
600C42—31no—
601C42—181no—
602C42—181no—
603C42—181no—
604C42—181no—
605C22×C3—21no—
606C22×C3—21no—
607C22×C3—21no—
608C22×C3—21no—
609C22×C3—21no—
610C22×C3—21no—
611C22×C3—21no—
612C22×C3—41no—
613C22×C3—41no—
614C22×C3—41no—
615C22×C3—62no—
616C22×C3—121no—
617C22×C3—121no—
618C22×C3C22×D1211yescharacteristic
619C22×C3C2×D3×D411yescharacteristic
620C2×D3—22no—
621C2×D3—41no—
622C2×D3—41no—
623C2×D3—121no—
624C2×D3—121no—
625C2×D3—121no—
626C2×D3—121no—
627C2×D3—121no—
628C2×D3—121no—
629C2×D3—241no—
630C2×D3—241no—
631C2×D3—241no—
632C3×C4—21no—
633C3×C4—21no—
634C3×C4—21no—
635C3×C4—21no—
636C3×C4—32no—
637C3×C4—41no—
638C3×C4—61no—
639C3×C4—61no—
640C3×C4—61no—
641C3×C4—62no—
642C3×C4—121no—
643C3×C4—121no—
644C3×C4C2×#23711yescharacteristic
645C3×C4C2×#23711yescharacteristic
646C3×C4D3×#4111yescharacteristic
647C3×C4D3×#4111yescharacteristic
648Dic3—21no—
649Dic3—21no—
650Dic3—21no—
651Dic3—22no—
652Dic3—41no—
653Dic3—41no—
654Dic3—121no—
655Dic3—121no—
656Dic3—121no—
657Dic3—121no—
658Dic3—121no—
659Dic3—121no—
660Dic3—241no—
661Dic3—241no—
662Dic3—241no—
663Dic3#90412yes—
664C32#310211yescharacteristic, complemented, Sylow
665C23—61no—
666C23—181no—
667C23D3×D1211yescharacteristic
668Q8—32no—
669Q8—61no—
670Q8—61no—
671Q8—61no—
672D4—32no—
673D4—64no—
674D4—61no—
675D4—181no—
676D4—181no—
677D4—362no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—31no—
681C2×C4—31no—
682C2×C4—31no—
683C2×C4—31no—
684C2×C4—64no—
685C2×C4—62no—
686C2×C4—61no—
687C2×C4—61no—
688C2×C4—61no—
689C2×C4—121no—
690C2×C4—181no—
691C2×C4—181no—
692C2×C4—181no—
693C2×C4—362no—
694C2×C4—362no—
695C2×C4—362no—
696C2×C4D3×D1211yescharacteristic
697C2×C4C22×D3211yescharacteristic
698C8—21no—
699C8—21no—
700C8—61no—
701C8—61no—
702C2×C3—21no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—41no—
706C2×C3—41no—
707C2×C3—81no—
708C2×C3—122no—
709C2×C3#552411yescharacteristic
710C2×C3#558611yescharacteristic
711C2×C3C2×#90411yescharacteristic
712C2×C3#574811yescharacteristic
713C2×C3D3×#13511yescharacteristic
714C2×C3#577711yescharacteristic
715D3—42no—
716D3—241no—
717D3—241no—
718D3—481no—
719C22—21no—
720C22—21no—
721C22—21no—
722C22—62no—
723C22—121no—
724C22—121no—
725C22—361no—
726C22—361no—
727C22—361no—
728C22C2×D3×D1211yescharacteristic
729C4—21no—
730C4—32no—
731C4—62no—
732C4—61no—
733C4—61no—
734C4—61no—
735C4—121no—
736C4—121no—
737C4—361no—
738C4—361no—
739C4—361no—
740C4D3×#23711yescharacteristic
741C4D3×#23711yescharacteristic
742C3—21no—
743C3#7929911yescharacteristic, complemented
744C3#8021211yescharacteristic, complemented
745C2—41no—
746C2—122no—
747C2—721no—
748C2#1059407811yescharacteristic
749C2D3×#90411yescharacteristic
750C2#1059471111yescharacteristic
subgroupG/H
centerC22C2×D3×D12
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×C22⋊C8C22
socleC22×C32C22×D4
prime radical#10591163C2
hypercenterC22⋊C8D32
hypocenterC32#3102
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22⋊C8

Complements

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

NH ≅ G/Ntype
1. #10594955C2semidirect
2. Dic3×#235C2semidirect
3. #10592436C2semidirect
4. C3×#4733C2semidirect
5. C3×#4718C2semidirect
7. #10591127C2semidirect
8. #10590815C2semidirect
9. Dic3×Dic12C2semidirect
10. #10590801C2semidirect
11. #10590792C2semidirect
12. #10590767C2semidirect
13. Dic3×#204C2semidirect
14. #10590754C2semidirect
15. #10590745C2semidirect
85. #4733D3semidirect
87. #4718D3semidirect
664. C32#3102semidirect
743. C3#79299semidirect
744. C3#80212semidirect

Maximal subgroups

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

subgroupindex
#105949552
Dic3×#2352
#105924362
C3×#47332
C3×#47182
#105911632
#105911272
#105908152
Dic3×Dic122
#105908012
#105907922
#105907672
Dic3×#2042
#105907542
#105907452
#802123
#792993