Finite Group Databasebeta

← #11870663

Subgroups — #11870663

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
1C3×#5522C211yesmaximal, characteristic, complemented
2#10594955C211yesmaximal, characteristic, complemented
3#10592702C211yesmaximal, characteristic, complemented
4C3×#4996C211yesmaximal, characteristic, complemented
5#10591170C211yesmaximal, characteristic, complemented
6#10591163C211yesmaximal, characteristic
7#10591053C211yesmaximal, characteristic, complemented
8#10590545C211yesmaximal, characteristic, complemented
9#10590544C211yesmaximal, characteristic, complemented
10#10590536C211yesmaximal, characteristic, complemented
11#10590534C211yesmaximal, characteristic, complemented
12#10590476C211yesmaximal, characteristic, complemented
13#10590475C211yesmaximal, characteristic, complemented
14#10590458C211yesmaximal, characteristic, complemented
15#10590456C211yesmaximal, characteristic, complemented
16#82528—31nomaximal
17#81492—31nomaximal
18C2×C3×#235C2211yescharacteristic
19C32×#117C2211yescharacteristic
20#64139C2211yescharacteristic
21C3×#924C2211yescharacteristic
22C2×C3×C4×Dic3C2211yescharacteristic
23C3×#893C2211yescharacteristic
24C3×#893C2211yescharacteristic
25C3×#887C2211yescharacteristic
26C3×#887C2211yescharacteristic
27C3×#67⋊C4—21no—
28C3×#67⋊C4—21no—
29C3×#872—21no—
30C3×C42×D3—21no—
31#63966—21no—
32#63952—21no—
33#63894C2211yescharacteristic
34#63869C2211yescharacteristic
35#63868—21no—
36#63864C2211yescharacteristic
37Dic3×Dic6C2211yescharacteristic
38#63836—21no—
39C2×#3718C2211yescharacteristic
40C2×#3717C2211yescharacteristic
41C2×#3715C2211yescharacteristic
42C2×#3714C2211yescharacteristic
43#63657C2211yescharacteristic
44#63636C2211yescharacteristic
45#63636C2211yescharacteristic
46#63635C2211yescharacteristic
47#63634C2211yescharacteristic
48C3×#830C2211yescharacteristic
49C3×#810C2211yescharacteristic
50C3×#810C2211yescharacteristic
51C3×#808C2211yescharacteristic
52C3×#807C2211yescharacteristic
53Dic3⋊(C3⋊C8)C2211yescharacteristic
54Dic3⋊(C3⋊C8)C2211yescharacteristic
55#63566C2211yescharacteristic
56#63565C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59Dic3×C3⋊C8C2211yescharacteristic
60Dic3×C3⋊C8C2211yescharacteristic
61C3×C4×#41—31no—
62#5624—31no—
63#5522D311yescharacteristic, complemented
64#5479—31no—
65C3×#485—31no—
66#5239—31no—
67#5238—31no—
68#5047—31no—
69C4×#216—31no—
70#5028—31no—
71C4×#215—31no—
72#5022—31no—
73C4×#214—31no—
74#5016—31no—
75C4×#213—31no—
76#5009—31no—
77#5003—31no—
78#5003—31no—
79#5003—61no—
80#4996D311yescharacteristic, complemented
81#4925—31no—
82#4877—31no—
83#4872—31no—
84#4871—31no—
85#4852—31no—
86#4819—31no—
87#4798—31no—
88#4790—31no—
89#4788—31no—
90#4734—31no—
91#4718—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×C4×D3—21no—
103C2×C3×C4×D3—21no—
104C2×C3×Dic6C2311yescharacteristic
105C2×C3×Dic6C2311yescharacteristic
106C2×#624—21no—
107C32×C4⋊C4C2311yescharacteristic
108C32×C4⋊C4C2311yescharacteristic
109C32×C22⋊C4—21no—
110C32×C42—21no—
111#3752—21no—
112C4⋊(C3⋊Dic3)C2311yescharacteristic
113C2×C3⋊(C3⋊C8)C2311yescharacteristic
114C2×C3⋊(C3⋊C8)C2311yescharacteristic
115C3×#217—21no—
116C3×(C2×D3)⋊C4—21no—
117C3×(C2×D3)⋊C4—21no—
118C3×C4⋊Dic3C2311yescharacteristic
119C3×Dic3⋊C4—21no—
120C3×Dic3⋊C4—21no—
121C3×Dic3⋊C4—21no—
122C3×C4×Dic3—21no—
123C3×C4×Dic3—21no—
124C3×C4×Dic3D411yescharacteristic
125C3×C4×Dic3D411yescharacteristic
126C3×C4×Dic3C2311yescharacteristic
127C3×C4×Dic3C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130#3724—21no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3—21no—
133#3722—21no—
134#3722—21no—
135#3722—21no—
136Dic32—21no—
137#3718—22no—
138#3717—22no—
139#3715—22no—
140#3714—22no—
141#3102—91noSylow
142C2×C3×#41—31no—
143C2×#235C2×D311yescharacteristic
144C3×C22⋊Q8—31no—
145C3×C4×Q8—31no—
146C3×C4×Q8—31no—
147C3×C4×D4—31no—
148C3×C4×D4—31no—
149C3×C4×D4—61no—
150C3×C4×D4—61no—
151C3×#117—21no—
152C3×#117—61no—
153C3×#117C2×D311yescharacteristic
154C3×#117C2×D311yescharacteristic
155C2×C3×C42—31no—
156C2×C3×C42—61no—
157#947—31no—
158Q8×Dic3—31no—
159C2×#216—31no—
160C2×#216—31no—
161C2×#215—31no—
162C2×#215—31no—
163C2×#214—31no—
164C2×#213—31no—
165#930—31no—
166#930—31no—
167#930—61no—
168#929—61no—
169C4×#67—61no—
170#924C2×D311yescharacteristic
171C2×C4×Dic3C2×D311yescharacteristic
172C2×D24—31no—
173C2×#204—31no—
174#898—61no—
175#893—31no—
176#893C2×D311yescharacteristic
177#893C2×D311yescharacteristic
178#892—61no—
179#890—31no—
180#887C2×D311yescharacteristic
181#887C2×D311yescharacteristic
182#886—61no—
183#67⋊C4—21no—
184#67⋊C4—21no—
185#67⋊C4—61no—
186#876—61no—
187#875—31no—
188C4×D12—31no—
189#872—21no—
190#872—61no—
191C42×D3—21no—
192#870—31no—
193C4×Dic6—31no—
194C3×#107—31no—
195C3×#106—31no—
196C3×#103—31no—
197C3×#103—31no—
198C3×C22⋊C8—31no—
199#835—31no—
200#835—31no—
201#832—31no—
202#832—31no—
203#830—31no—
204#830—31no—
205#830—61no—
206#830C2×D311yescharacteristic
207#821—31no—
208#816—31no—
209Dic3⋊C8—31no—
210Dic3⋊C8—31no—
211C8×Dic3—31no—
212C8×Dic3—31no—
213#810—31no—
214#810C2×D311yescharacteristic
215#810C2×D311yescharacteristic
216#809—31no—
217#809—31no—
218#809—31no—
219#809—31no—
220#809—31no—
221#809—61no—
222#809—61no—
223#808—31no—
224#808—31no—
225#808—61no—
226#808C2×D311yescharacteristic
227#807—31no—
228#807—31no—
229#807—61no—
230#807C2×D311yescharacteristic
231C4⋊(C3⋊C8)—31no—
232C4⋊(C3⋊C8)—31no—
233C4×C3⋊C8—31no—
234C4×C3⋊C8—31no—
235C23×C32C2×D411yescharacteristic
236C22×C3⋊D3—21no—
237C22×C3×D3—21no—
238C2×C32×C4—21no—
239C2×C32×C4—21no—
240C2×C32×C4—21no—
241C2×C32×C4—21no—
242C2×C32×C4C2×D411yescharacteristic
243C2×C32×C4C2411yescharacteristic
244#638—42no—
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×C4×D3—42no—
262C3×C4×D3—42no—
263C3×Dic6—21no—
264C3×Dic6—21no—
265C3×Dic6—21no—
266C3×Dic6#4112yes—
267#624—42no—
268C3⋊(C3⋊C8)—21no—
269C3⋊(C3⋊C8)—21no—
270C3×C3⋊C8—21no—
271C3×C3⋊C8—21no—
272#529—91no—
273C4×#41—31no—
274#485—31no—
275#482—91no—
276#479—91no—
277#478—91no—
278#464—91no—
279#463—91no—
280#452—91no—
281#449—91no—
282C4×Q16—91no—
283C4×SD16—91no—
284C4×SD16—91no—
285C4×D8—91no—
286#431—91no—
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×C4—61no—
298C22×C3×C4—61no—
299C22×C3×C4C22×D311yescharacteristic
300C22×C3×C4C22×D311yescharacteristic
301C2×#67—21no—
302C2×#67—61no—
303C2×#67—61no—
304C2×#67—121no—
305C22×Dic3#6711yescharacteristic
306C22×Dic3#6711yescharacteristic
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—21no—
315C2×C4×D3—21no—
316C2×C4×D3—61no—
317C2×C4×D3—61no—
318C2×Dic6C22×D311yescharacteristic
319C2×Dic6C22×D311yescharacteristic
320C2×C3×C8—31no—
321C2×C3×C8—31no—
322C3×C4⋊C4—21no—
323C3×C4⋊C4—21no—
324C3×C4⋊C4—31no—
325C3×C4⋊C4—61no—
326C3×C4⋊C4—61no—
327C3×C4⋊C4—61no—
328C3×C4⋊C4C22×D311yescharacteristic
329C3×C4⋊C4C22×D311yescharacteristic
330C3×C4⋊C4C22×D311yescharacteristic
331C3×C4⋊C4C22×D311yescharacteristic
332C3×C22⋊C4—21no—
333C3×C22⋊C4—21no—
334C3×C22⋊C4—41no—
335C3×C22⋊C4—61no—
336C3×C22⋊C4—61no—
337C3×C22⋊C4—61no—
338C3×C42—21no—
339C3×C42—21no—
340C3×C42—31no—
341C3×C42—31no—
342C3×C42—31no—
343C3×C42—31no—
344C3×C42—41no—
345C3×C42—61no—
346C3×C42—61no—
347#217—21no—
348#216—62no—
349#216—62no—
350#215—62no—
351#215—62no—
352#214—62no—
353#213—62no—
354(C2×D3)⋊C4—21no—
355(C2×D3)⋊C4—21no—
356(C2×D3)⋊C4—61no—
357(C2×D3)⋊C4—61no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4—61no—
361(C2×D3)⋊C4—61no—
362(C2×D3)⋊C4—61no—
363(C2×D3)⋊C4—61no—
364(C2×D3)⋊C4—121no—
365C4⋊Dic3—31no—
366C4⋊Dic3—31no—
367C4⋊Dic3—61no—
368C4⋊Dic3—61no—
369C4⋊Dic3—61no—
370C4⋊Dic3C22×D311yescharacteristic
371Dic3⋊C4—21no—
372Dic3⋊C4—21no—
373Dic3⋊C4—21no—
374Dic3⋊C4—61no—
375Dic3⋊C4—61no—
376Dic3⋊C4—61no—
377Dic3⋊C4—61no—
378C4×Dic3—21no—
379C4×Dic3—21no—
380C4×Dic3—61no—
381C4×Dic3—61no—
382C4×Dic3#6711yescharacteristic
383C4×Dic3#6711yescharacteristic
384C4×Dic3C22×D311yescharacteristic
385C4×Dic3C22×D311yescharacteristic
386C2×C3⋊C8—31no—
387C2×C3⋊C8—31no—
388C2×C3⋊C8—31no—
389C2×C3⋊C8—31no—
390C2×C3⋊C8—61no—
391C2×C3⋊C8—61no—
392C2×C3⋊C8C22×D311yescharacteristic
393C2×C3⋊C8C22×D311yescharacteristic
394D24—62no—
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×C4—41no—
408C32×C4—41no—
409C32×C4C2×#4111yescharacteristic
410C32×C4C2×#4111yescharacteristic
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—91no—
421C2×SD16—91no—
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—31no—
431C4×Q8—31no—
432C4×Q8—91no—
433C4×D4—31no—
434C4×D4—31no—
435C4×D4—61no—
436C4×D4—61no—
437C4×D4—91no—
438C4×D4—181no—
439#117—61no—
440#117—181no—
441#117D3211yescharacteristic
442C2×C42—31no—
443C2×C42—61no—
444#107—31no—
445#107—91no—
446#106—31no—
447#106—91no—
448C4⋊C8—91no—
449C4⋊C8—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—
458C22⋊C8—31no—
459C22⋊C8—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—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—21no—
484C2×C3×C4—21no—
485C2×C3×C4—21no—
486C2×C3×C4—21no—
487C2×C3×C4—31no—
488C2×C3×C4—31no—
489C2×C3×C4—31no—
490C2×C3×C4—31no—
491C2×C3×C4—41no—
492C2×C3×C4—41no—
493C2×C3×C4—41no—
494C2×C3×C4—41no—
495C2×C3×C4—64no—
496C2×C3×C4—62no—
497C2×C3×C4—61no—
498C2×C3×C4—61no—
499C2×C3×C4—61no—
500C2×C3×C4—122no—
501C2×C3×C4—122no—
502C2×C3×C4—121no—
503C2×C3×C4D3×D411yescharacteristic
504C2×C3×C4C2×#6711yescharacteristic
505C2×C3×C4C23×D311yescharacteristic
506C2×C3×C4C23×D311yescharacteristic
507#67—24no—
508#67—122no—
509#67—122no—
510#67—242no—
511C2×Dic3—21no—
512C2×Dic3—22no—
513C2×Dic3—21no—
514C2×Dic3—21no—
515C2×Dic3—41no—
516C2×Dic3—61no—
517C2×Dic3—61no—
518C2×Dic3—121no—
519C2×Dic3C2×#6711yescharacteristic
520C2×Dic3C2×#6711yescharacteristic
521C2×Dic3C2×#6711yescharacteristic
522C2×Dic3C2×#6711yescharacteristic
523D12—21no—
524D12—61no—
525D12—61no—
526D12—61no—
527D12—61no—
528D12—121no—
529D12—121no—
530D12#23512yes—
531C4×D3—24no—
532C4×D3—42no—
533C4×D3—42no—
534C4×D3—122no—
535C4×D3—122no—
536Dic6—21no—
537Dic6—21no—
538Dic6—21no—
539Dic6#23512yes—
540C3×C8—61no—
541C3×C8—61no—
542C3⋊C8—21no—
543C3⋊C8—21no—
544C3⋊C8—61no—
545C3⋊C8—61no—
546C3⋊C8—61no—
547C3⋊C8—61no—
548C3⋊C8—121no—
549C3⋊C8—121no—
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—61no—
568C22×C4—61no—
569C22×C4—181no—
570C22×C4C2×D3211yescharacteristic
571Q16—182no—
572SD16—182no—
573SD16—182no—
574D8—182no—
575C2×C8—31no—
576C2×C8—31no—
577C2×C8—91no—
578C2×C8—91no—
579C4⋊C4—31no—
580C4⋊C4—61no—
581C4⋊C4—61no—
582C4⋊C4—61no—
583C4⋊C4—91no—
584C4⋊C4—181no—
585C4⋊C4—181no—
586C4⋊C4—181no—
587C4⋊C4C2×D3211yescharacteristic
588C4⋊C4C2×D3211yescharacteristic
589C22⋊C4—21no—
590C22⋊C4—61no—
591C22⋊C4—61no—
592C22⋊C4—61no—
593C22⋊C4—181no—
594C22⋊C4—181no—
595C22⋊C4—181no—
596C22⋊C4—181no—
597C42—21no—
598C42—31no—
599C42—31no—
600C42—31no—
601C42—31no—
602C42—61no—
603C42—61no—
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×C3C2×D3×D411yescharacteristic
619C22×C3C22×#6711yescharacteristic
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—41no—
639C3×C4—41no—
640C3×C4—41no—
641C3×C4—41no—
642C3×C4—62no—
643C3×C4—61no—
644C3×C4—61no—
645C3×C4—61no—
646C3×C4—81no—
647C3×C4—81no—
648C3×C4—121no—
649C3×C4—121no—
650C3×C4C2×#23511yescharacteristic
651C3×C4C2×#23511yescharacteristic
652C3×C4D3×#4111yescharacteristic
653C3×C4D3×#4111yescharacteristic
654Dic3—22no—
655Dic3—21no—
656Dic3—21no—
657Dic3—21no—
658Dic3—41no—
659Dic3—41no—
660Dic3—121no—
661Dic3—121no—
662Dic3—241no—
663Dic3#95012yes—
664C32#310211yescharacteristic, complemented, Sylow
665C23—61no—
666C23—181no—
667C23D3×#6711yescharacteristic
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—21no—
681C2×C4—21no—
682C2×C4—31no—
683C2×C4—31no—
684C2×C4—31no—
685C2×C4—31no—
686C2×C4—64no—
687C2×C4—62no—
688C2×C4—61no—
689C2×C4—61no—
690C2×C4—61no—
691C2×C4—122no—
692C2×C4—122no—
693C2×C4—121no—
694C2×C4—181no—
695C2×C4—362no—
696C2×C4D3×#6711yescharacteristic
697C2×C4C22×D3211yescharacteristic
698C8—61no—
699C8—61no—
700C8—181no—
701C8—181no—
702C2×C3—21no—
703C2×C3—21no—
704C2×C3—21no—
705C2×C3—41no—
706C2×C3—41no—
707C2×C3—81no—
708C2×C3—122no—
709C2×C3#565611yescharacteristic
710C2×C3D3×#13511yescharacteristic
711C2×C3#577711yescharacteristic
712C2×C3#579111yescharacteristic
713C2×C3C2×#95011yescharacteristic
714C2×C3#582211yescharacteristic
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×#6711yescharacteristic
729C4—21no—
730C4—32no—
731C4—41no—
732C4—41no—
733C4—62no—
734C4—61no—
735C4—61no—
736C4—61no—
737C4—121no—
738C4—121no—
739C4—361no—
740C4D3×#23511yescharacteristic
741C4D3×#23511yescharacteristic
742C3—21no—
743C3#8149211yescharacteristic, complemented
744C3#8252811yescharacteristic, complemented
745C2—41no—
746C2—122no—
747C2—721no—
748C2#1059489611yescharacteristic
749C2D3×#95011yescharacteristic
750C2#1059547011yescharacteristic
subgroupG/H
centerC22C2×D3×#67
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#117C22
socleC22×C32C22×D4
prime radical#10591163C2
hypercenter#117D32
hypocenterC32#3102
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C22×C4 ◁ #117

Complements

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

NH ≅ G/Ntype
1. C3×#5522C2semidirect
2. #10594955C2semidirect
3. #10592702C2semidirect
4. C3×#4996C2semidirect
5. #10591170C2semidirect
7. #10591053C2semidirect
8. #10590545C2semidirect
9. #10590544C2semidirect
10. #10590536C2semidirect
11. #10590534C2semidirect
12. #10590476C2semidirect
13. #10590475C2semidirect
14. #10590458C2semidirect
15. #10590456C2semidirect
63. #5522D3semidirect
80. #4996D3semidirect
664. C32#3102semidirect
743. C3#81492semidirect
744. C3#82528semidirect

Maximal subgroups

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

subgroupindex
C3×#55222
#105949552
#105927022
C3×#49962
#105911702
#105911632
#105910532
#105905452
#105905442
#105905362
#105905342
#105904762
#105904752
#105904582
#105904562
#825283
#814923