Finite Group Databasebeta

← C3×#60523 #10679130

Subgroups — C3×#60523 #10679130

Order 768.

2184 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3488C211yesmaximal, characteristic
2C3×#3428C211yesmaximal, characteristic, complemented
3C3×#3099C213yesmaximal, complemented
4C3×#3098C213yesmaximal, complemented
5C3×#3096C213yesmaximal, complemented
6C3×#3096C213yesmaximal, complemented
7C3×#3094C213yesmaximal, complemented
8C3×#3093C213yesmaximal, complemented
9C3×#3091C213yesmaximal, complemented
10C2×C3×#482C213yesmaximal, complemented
11C3×#2913C211yesmaximal, characteristic, complemented
12C3×#2912C211yesmaximal, characteristic, complemented
13C3×#2897C211yesmaximal, characteristic, complemented
14C3×#2897C211yesmaximal, characteristic, complemented
15C3×#2880C211yesmaximal, characteristic, complemented
16#60523C311yesmaximal, characteristic, direct product factor, Sylow
17C2×C3×H(5,𝔽2)C2211yescharacteristic
18C22×C3×#41C2211yescharacteristic
19C2×C3×#131C2211yescharacteristic
20C2×C3×#131C2211yescharacteristic
21C3×#550—21no—
22C3×#548—21no—
23C3×#546—23no—
24C3×D42—23no—
25C3×#537C2213yes—
26C3×#535C2213yes—
27C3×#525C2213yes—
28C2×C3×#121C2213yes—
29C3×#520C2211yescharacteristic
30C3×#520C2211yescharacteristic
31C3×#520C2211yescharacteristic
32C3×#520C2213yescomplemented
33C3×#520C2213yescomplemented
34C3×#519—21no—
35C3×#518—23no—
36C3×C4×#41—23no—
37C3×C4×#41—21no—
38C2×C3×#117C2213yescomplemented
39C2×C3×#117C2213yescomplemented
40C3×#485C2211yescharacteristic, complemented
41C3×#485C2213yescomplemented
42C3×#485C2216yescomplemented
43C3×#484C2213yescomplemented
44C3×#483C2213yescomplemented
45C3×#482C2213yescomplemented
46C3×#482C2216yescomplemented
47C3×#482C2216yescomplemented
48C3×#482C2216yescomplemented
49C3×#482C2213yescomplemented
50C3×#482C2216yescomplemented
51C3×#481C2213yescomplemented
52C3×#481C2216yescomplemented
53C3×#480C2213yescomplemented
54C3×#480C2216yescomplemented
55C3×#428C2213yescomplemented
56C3×#428C2213yescomplemented
57C3×#428C2213yescomplemented
58C3×#428C2213yescomplemented
59C3×#427C2213yescomplemented
60C3×#427C2213yescomplemented
61C2×C3×#107C2213yescomplemented
62C2×C3×#106C2213yescomplemented
63C3×#418C2213yescomplemented
64C3×#418C2213yescomplemented
65C3×#417C2213yescomplemented
66C3×#417C2213yescomplemented
67C3×#416C2213yescomplemented
68C3×#416C2213yescomplemented
69C2×C3×#102C2213yescomplemented
70C2×C3×#102C2213yescomplemented
71C3×#408C2213yescomplemented
72C3×#408C2213yescomplemented
73C3×#407C2213yescomplemented
74C2×C3×C22⋊C8C2213yescomplemented
75#3488C2×C311yescharacteristic
76#3428C2×C311yescharacteristic, complemented
77#3099C2×C313yescomplemented
78#3098C2×C313yescomplemented
79#3096C2×C313yescomplemented
80#3096C2×C313yescomplemented
81#3094C2×C313yescomplemented
82#3093C2×C313yescomplemented
83#3091C2×C313yescomplemented
84C2×#482C2×C313yescomplemented
85#2913C2×C311yescharacteristic, complemented
86#2912C2×C311yescharacteristic, complemented
87#2897C2×C311yescharacteristic, complemented
88#2897C2×C311yescharacteristic, complemented
89#2880C2×C311yescharacteristic, complemented
90C3×H(5,𝔽2)—24no—
91C3×H(5,𝔽2)—24no—
92C2×C3×#41—24no—
93C2×C3×#41—24no—
94C2×C3×#41—21no—
95C2×C3×#41D413yes—
96C2×C3×#41D411yescharacteristic
97C2×C3×#41C2313yes—
98C2×C3×#41C2313yes—
99C2×C3×#41C2311yescharacteristic
100C22×C3×Q8D411yescharacteristic
101C22×C3×D4—23no—
102C22×C3×D4—23no—
103C22×C3×D4D413yes—
104C22×C3×D4C2313yes—
105C23×C3×C4C2313yes—
106C3×#131—24no—
107C3×#131—24no—
108C2×C3×M16C2313yes—
109C2×C3×M16C2313yes—
110C22×C3×C8C2313yes—
111C22×C3×C8C2313yes—
112C3×#127—23no—
113C3×#124—23no—
114C3×#123—23no—
115C3×C22⋊Q8—23no—
116C3×C22⋊Q8C2311yescharacteristic
117C3×C22⋊Q8C2313yes—
118C3×#121—26no—
119C3×#121—23no—
120C3×#121—23no—
121C3×#121—23no—
122C3×#121C2313yes—
123C3×#121C2316yes—
124C3×#121C2313yes—
125C3×#120—23no—
126C3×#120—26no—
127C3×C4×Q8—21no—
128C3×C4×Q8—21no—
129C3×C4×Q8—23no—
130C3×C4×Q8—23no—
131C3×C4×Q8—21no—
132C3×C4×D4—23no—
133C3×C4×D4—23no—
134C3×C4×D4—26no—
135C3×C4×D4—26no—
136C3×C4×D4—23no—
137C3×C4×D4—23no—
138C3×C4×D4—23no—
139C3×C4×D4—23no—
140C3×C4×D4—23no—
141C3×#117—23no—
142C3×#117—23no—
143C3×#117—23no—
144C3×#117—23no—
145C3×#117C2313yes—
146C3×#117C2313yes—
147C3×#117C2313yes—
148C3×#117C2313yes—
149C3×#117C2311yescharacteristic
150C3×#117C2316yes—
151C2×C3×C4⋊C4C2313yes—
152C2×C3×C4⋊C4C2313yes—
153C2×C3×C4⋊C4C2313yes—
154C2×C3×C4⋊C4C2313yes—
155C2×C3×C4⋊C4C2313yes—
156C2×C3×C22⋊C4—23no—
157C2×C3×C22⋊C4—23no—
158C2×C3×C22⋊C4—23no—
159C2×C3×C42—23no—
160C2×C3×C42—23no—
161C3×#107C2313yes—
162C3×#107C2316yes—
163C3×#107C2311yescharacteristic
164C3×#107C2313yes—
165C3×#107C2313yes—
166C3×#106C2313yes—
167C3×#106C2316yes—
168C3×#106C2311yescharacteristic
169C3×#106C2313yes—
170C3×#106C2313yes—
171C3×#103C2311yescharacteristic
172C3×#103C2311yescharacteristic
173C3×#103C2313yes—
174C3×#103C2313yes—
175C3×#102C2313yes—
176C3×#102C2313yes—
177C3×#102C2316yes—
178C3×#102C2316yes—
179C3×#102C2313yes—
180C3×#102C2313yes—
181C3×C22⋊C8C2311yescharacteristic
182C3×C22⋊C8C2313yes—
183C3×C22⋊C8C2313yes—
184C3×C22⋊C8C2313yes—
185C3×C22⋊C8C2316yes—
186C2×H(5,𝔽2)C22×C311yescharacteristic
187C22×#41C22×C311yescharacteristic
188C2×#131C22×C311yescharacteristic
189C2×#131C22×C311yescharacteristic
190#550—21no—
191#548—21no—
192#546—23no—
193D42—23no—
194#537C22×C313yes—
195#535C22×C313yes—
196#525C22×C313yes—
197C2×#121C22×C313yes—
198#520C22×C311yescharacteristic
199#520C22×C311yescharacteristic
200#520C22×C311yescharacteristic
201#520C22×C313yescomplemented
202#520C22×C313yescomplemented
203#519—21no—
204#518—23no—
205C4×#41—23no—
206C4×#41—21no—
207C2×#117C22×C313yescomplemented
208C2×#117C22×C313yescomplemented
209#485C22×C311yescharacteristic, complemented
210#485C22×C313yescomplemented
211#485C22×C316yescomplemented
212#484C22×C313yescomplemented
213#483C22×C313yescomplemented
214#482C22×C313yescomplemented
215#482C22×C316yescomplemented
216#482C22×C316yescomplemented
217#482C22×C316yescomplemented
218#482C22×C313yescomplemented
219#482C22×C316yescomplemented
220#481C22×C313yescomplemented
221#481C22×C316yescomplemented
222#480C22×C313yescomplemented
223#480C22×C316yescomplemented
224#428C22×C313yescomplemented
225#428C22×C313yescomplemented
226#428C22×C313yescomplemented
227#428C22×C313yescomplemented
228#427C22×C313yescomplemented
229#427C22×C313yescomplemented
230C2×#107C22×C313yescomplemented
231C2×#106C22×C313yescomplemented
232#418C22×C313yescomplemented
233#418C22×C313yescomplemented
234#417C22×C313yescomplemented
235#417C22×C313yescomplemented
236#416C22×C313yescomplemented
237#416C22×C313yescomplemented
238C2×#102C22×C313yescomplemented
239C2×#102C22×C313yescomplemented
240#408C22×C313yescomplemented
241#408C22×C313yescomplemented
242#407C22×C313yescomplemented
243C2×C22⋊C8C22×C313yescomplemented
244C24×C3—23no—
245C24×C3C2×D413yes—
246C3×#41—24no—
247C3×#41—212no—
248C3×#41—26no—
249C3×#41—26no—
250C3×#41—26no—
251C3×#41—26no—
252C3×#41—44no—
253C3×#41#4114yes—
254C3×#41#4114yes—
255C2×C3×Q8—24no—
256C2×C3×Q8C2×D413yes—
257C2×C3×Q8C2×D411yescharacteristic
258C2×C3×Q8C2411yescharacteristic
259C2×C3×D4—212no—
260C2×C3×D4—23no—
261C2×C3×D4—23no—
262C2×C3×D4—23no—
263C2×C3×D4—26no—
264C2×C3×D4—23no—
265C2×C3×D4—26no—
266C2×C3×D4—26no—
267C2×C3×D4—412no—
268C2×C3×D4—86no—
269C2×C3×D4C2×D416yes—
270C2×C3×D4C2×D413yes—
271C2×C3×D4C2×D413yes—
272C2×C3×D4C2413yes—
273C22×C3×C4—26no—
274C22×C3×C4—26no—
275C22×C3×C4—23no—
276C22×C3×C4—23no—
277C22×C3×C4—23no—
278C22×C3×C4—23no—
279C22×C3×C4—23no—
280C22×C3×C4—23no—
281C22×C3×C4C2×D413yes—
282C22×C3×C4C2×D413yes—
283C22×C3×C4C2×D413yes—
284C22×C3×C4C2413yes—
285C22×C3×C4C2411yescharacteristic
286C22×C3×C4C2413yes—
287C3×M16—26no—
288C3×M16—26no—
289C2×C3×C8—26no—
290C2×C3×C8—26no—
291C2×C3×C8C2411yescharacteristic
292C2×C3×C8C2413yes—
293C2×C3×C8C2413yes—
294C2×C3×C8C2411yescharacteristic
295C3×C4⋊C4—23no—
296C3×C4⋊C4—23no—
297C3×C4⋊C4—23no—
298C3×C4⋊C4—23no—
299C3×C4⋊C4—23no—
300C3×C4⋊C4—21no—
301C3×C4⋊C4—23no—
302C3×C4⋊C4C2413yes—
303C3×C4⋊C4C2411yescharacteristic
304C3×C4⋊C4C2413yes—
305C3×C4⋊C4C2411yescharacteristic
306C3×C4⋊C4C2413yes—
307C3×C4⋊C4C2411yescharacteristic
308C3×C22⋊C4—23no—
309C3×C22⋊C4—21no—
310C3×C22⋊C4—26no—
311C3×C22⋊C4—23no—
312C3×C22⋊C4—23no—
313C3×C22⋊C4—23no—
314C3×C22⋊C4—21no—
315C3×C22⋊C4—23no—
316C3×C22⋊C4—23no—
317C3×C22⋊C4—26no—
318C3×C22⋊C4—23no—
319C3×C42—23no—
320C3×C42—21no—
321C3×C42—26no—
322C3×C42—23no—
323C3×C42—23no—
324C3×C42—23no—
325H(5,𝔽2)—24no—
326H(5,𝔽2)—24no—
327C2×#41—24no—
328C2×#41—24no—
329C2×#41—21no—
330C2×#41C3×D413yes—
331C2×#41C3×D411yescharacteristic
332C2×#41C23×C313yes—
333C2×#41C23×C313yes—
334C2×#41C23×C311yescharacteristic
335C22×Q8C3×D411yescharacteristic
336C22×D4—23no—
337C22×D4—23no—
338C22×D4C3×D413yes—
339C22×D4C23×C313yes—
340C23×C4C23×C313yes—
341#131—24no—
342#131—24no—
343C2×M16C23×C313yes—
344C2×M16C23×C313yes—
345C22×C8C23×C313yes—
346C22×C8C23×C313yes—
347#127—23no—
348#124—23no—
349#123—23no—
350C22⋊Q8—23no—
351C22⋊Q8C23×C311yescharacteristic
352C22⋊Q8C23×C313yes—
353#121—26no—
354#121—23no—
355#121—23no—
356#121—23no—
357#121C23×C313yes—
358#121C23×C316yes—
359#121C23×C313yes—
360#120—23no—
361#120—26no—
362C4×Q8—21no—
363C4×Q8—21no—
364C4×Q8—23no—
365C4×Q8—23no—
366C4×Q8—21no—
367C4×D4—23no—
368C4×D4—23no—
369C4×D4—26no—
370C4×D4—26no—
371C4×D4—23no—
372C4×D4—23no—
373C4×D4—23no—
374C4×D4—23no—
375C4×D4—23no—
376#117—23no—
377#117—23no—
378#117—23no—
379#117—23no—
380#117C23×C313yes—
381#117C23×C311yescharacteristic
382#117C23×C313yes—
383#117C23×C313yes—
384#117C23×C316yes—
385#117C23×C313yes—
386C2×C4⋊C4C23×C313yes—
387C2×C4⋊C4C23×C313yes—
388C2×C4⋊C4C23×C313yes—
389C2×C4⋊C4C23×C313yes—
390C2×C4⋊C4C23×C313yes—
391C2×C22⋊C4—23no—
392C2×C22⋊C4—23no—
393C2×C22⋊C4—23no—
394C2×C42—23no—
395C2×C42—23no—
396#107C23×C313yes—
397#107C23×C316yes—
398#107C23×C311yescharacteristic
399#107C23×C313yes—
400#107C23×C313yes—
401#106C23×C313yes—
402#106C23×C316yes—
403#106C23×C311yescharacteristic
404#106C23×C313yes—
405#106C23×C313yes—
406#103C23×C311yescharacteristic
407#103C23×C311yescharacteristic
408#103C23×C313yes—
409#103C23×C313yes—
410#102C23×C313yes—
411#102C23×C313yes—
412#102C23×C316yes—
413#102C23×C316yes—
414#102C23×C313yes—
415#102C23×C313yes—
416C22⋊C8C23×C311yescharacteristic
417C22⋊C8C23×C313yes—
418C22⋊C8C23×C313yes—
419C22⋊C8C23×C313yes—
420C22⋊C8C23×C316yes—
421C23×C3—26no—
422C23×C3—23no—
423C23×C3—43no—
424C23×C3—43no—
425C23×C3—46no—
426C23×C3—83no—
427C23×C3—83no—
428C23×C3C22×D411yescharacteristic
429C23×C3C22×D413yes—
430C23×C3C22×D413yes—
431C3×Q8—26no—
432C3×Q8—21no—
433C3×Q8—21no—
434C3×Q8#12314yes—
435C3×D4—212no—
436C3×D4—26no—
437C3×D4—23no—
438C3×D4—23no—
439C3×D4—46no—
440C3×D4—46no—
441C3×D4—46no—
442C3×D4—83no—
443C3×D4—86no—
444C3×D4#123112yes—
445C2×C3×C4—26no—
446C2×C3×C4—26no—
447C2×C3×C4—26no—
448C2×C3×C4—21no—
449C2×C3×C4—21no—
450C2×C3×C4—23no—
451C2×C3×C4—23no—
452C2×C3×C4—23no—
453C2×C3×C4—21no—
454C2×C3×C4—23no—
455C2×C3×C4—21no—
456C2×C3×C4—21no—
457C2×C3×C4—23no—
458C2×C3×C4—21no—
459C2×C3×C4—46no—
460C2×C3×C4—83no—
461C2×C3×C4—83no—
462C2×C3×C4—83no—
463C2×C3×C4—83no—
464C2×C3×C4—83no—
465C2×C3×C4C22×D411yescharacteristic
466C2×C3×C4C22×D413yes—
467C2×C3×C4C22×D413yes—
468C2×C3×C4C2×#4116yes—
469C2×C3×C4C2×#4116yes—
470C2×C3×C4C2511yescharacteristic
471C3×C8—21no—
472C3×C8—21no—
473C3×C8—23no—
474C3×C8—23no—
475C24—23no—
476C24C2×C3×D413yes—
477#41—24no—
478#41—212no—
479#41—26no—
480#41—26no—
481#41—26no—
482#41—26no—
483#41—44no—
484#41C3×#4114yes—
485#41C3×#4114yes—
486C2×Q8—24no—
487C2×Q8C2×C3×D413yes—
488C2×Q8C2×C3×D411yescharacteristic
489C2×Q8C24×C311yescharacteristic
490C2×D4—212no—
491C2×D4—23no—
492C2×D4—23no—
493C2×D4—23no—
494C2×D4—26no—
495C2×D4—23no—
496C2×D4—26no—
497C2×D4—26no—
498C2×D4—412no—
499C2×D4—86no—
500C2×D4C2×C3×D416yes—
501C2×D4C2×C3×D413yes—
502C2×D4C2×C3×D413yes—
503C2×D4C24×C313yes—
504C22×C4—26no—
505C22×C4—26no—
506C22×C4—23no—
507C22×C4—23no—
508C22×C4—23no—
509C22×C4—23no—
510C22×C4—23no—
511C22×C4—23no—
512C22×C4C2×C3×D413yes—
513C22×C4C2×C3×D413yes—
514C22×C4C2×C3×D413yes—
515C22×C4C24×C313yes—
516C22×C4C24×C311yescharacteristic
517C22×C4C24×C313yes—
518M16—26no—
519M16—26no—
520C2×C8—26no—
521C2×C8—26no—
522C2×C8C24×C311yescharacteristic
523C2×C8C24×C313yes—
524C2×C8C24×C313yes—
525C2×C8C24×C311yescharacteristic
526C4⋊C4—23no—
527C4⋊C4—23no—
528C4⋊C4—23no—
529C4⋊C4—23no—
530C4⋊C4—23no—
531C4⋊C4—21no—
532C4⋊C4—23no—
533C4⋊C4C24×C313yes—
534C4⋊C4C24×C311yescharacteristic
535C4⋊C4C24×C313yes—
536C4⋊C4C24×C311yescharacteristic
537C4⋊C4C24×C313yes—
538C4⋊C4C24×C311yescharacteristic
539C22⋊C4—23no—
540C22⋊C4—21no—
541C22⋊C4—26no—
542C22⋊C4—23no—
543C22⋊C4—23no—
544C22⋊C4—23no—
545C22⋊C4—21no—
546C22⋊C4—23no—
547C22⋊C4—23no—
548C22⋊C4—26no—
549C22⋊C4—23no—
550C42—23no—
551C42—21no—
552C42—26no—
553C42—23no—
554C42—23no—
555C42—23no—
556C22×C3—23no—
557C22×C3—23no—
558C22×C3—23no—
559C22×C3—21no—
560C22×C3—23no—
561C22×C3—21no—
562C22×C3—21no—
563C22×C3—23no—
564C22×C3—43no—
565C22×C3—43no—
566C22×C3—43no—
567C22×C3—86no—
568C22×C3—166no—
569C22×C3C2×#12316yes—
570C22×C3C23×D411yescharacteristic
571C3×C4—21no—
572C3×C4—23no—
573C3×C4—43no—
574C3×C4—41no—
575C3×C4—41no—
576C3×C4—43no—
577C3×C4—41no—
578C3×C4—43no—
579C3×C4—41no—
580C3×C4C2×#12316yes—
581C3×C4C22×#4111yescharacteristic
582C3×C4C22×#4111yescharacteristic
583C23—26no—
584C23—23no—
585C23—43no—
586C23—43no—
587C23—46no—
588C23—83no—
589C23—83no—
590C23C22×C3×D411yescharacteristic
591C23C22×C3×D413yes—
592C23C22×C3×D413yes—
593Q8—26no—
594Q8—21no—
595Q8—21no—
596Q8C3×#12314yes—
597D4—212no—
598D4—23no—
599D4—23no—
600D4—26no—
601D4—46no—
602D4—46no—
603D4—46no—
604D4—86no—
605D4—83no—
606D4C3×#123112yes—
607C2×C4—26no—
608C2×C4—21no—
609C2×C4—21no—
610C2×C4—23no—
611C2×C4—23no—
612C2×C4—26no—
613C2×C4—26no—
614C2×C4—23no—
615C2×C4—21no—
616C2×C4—23no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—23no—
620C2×C4—21no—
621C2×C4—46no—
622C2×C4—83no—
623C2×C4—83no—
624C2×C4—83no—
625C2×C4—83no—
626C2×C4—83no—
627C2×C4C22×C3×D411yescharacteristic
628C2×C4C22×C3×D413yes—
629C2×C4C22×C3×D413yes—
630C2×C4C2×C3×#4116yes—
631C2×C4C2×C3×#4116yes—
632C2×C4C25×C311yescharacteristic
633C8—21no—
634C8—21no—
635C8—23no—
636C8—23no—
637C2×C3—26no—
638C2×C3—43no—
639C2×C3—41no—
640C2×C3—83no—
641C2×C3C22×#12311yescharacteristic
642C2×C3#358411yescharacteristic
643C2×C3#358511yescharacteristic
644C22—23no—
645C22—23no—
646C22—21no—
647C22—23no—
648C22—23no—
649C22—21no—
650C22—23no—
651C22—21no—
652C22—43no—
653C22—43no—
654C22—43no—
655C22—86no—
656C22—166no—
657C22C2×C3×#12316yes—
658C22C23×C3×D411yescharacteristic
659C4—21no—
660C4—23no—
661C4—41no—
662C4—43no—
663C4—41no—
664C4—41no—
665C4—43no—
666C4—41no—
667C4—43no—
668C4C2×C3×#12316yes—
669C4C22×C3×#4111yescharacteristic
670C4C22×C3×#4111yescharacteristic
671C3#6052311yescharacteristic, direct product factor, Sylow
672C2—26no—
673C2—41no—
674C2—43no—
675C2—83no—
676C2C22×C3×#12311yescharacteristic
677C2C3×#358411yescharacteristic
678C2C3×#358511yescharacteristic
subgroupG/H
center, socleC22×C3C23×D4
commutator, Frattini, cosocleC2×C4C25×C3
prime radicalC3×#3488C2
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C3 ◁ C22×C3×#41 ◁ G

Complements

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

NH ≅ G/Ntype
2. C3×#3428C2semidirect
3. C3×#3099C2semidirect
4. C3×#3098C2semidirect
5. C3×#3096C2semidirect
6. C3×#3096C2semidirect
7. C3×#3094C2semidirect
8. C3×#3093C2semidirect
9. C3×#3091C2semidirect
10. C2×C3×#482C2semidirect
11. C3×#2913C2semidirect
12. C3×#2912C2semidirect
13. C3×#2897C2semidirect
14. C3×#2897C2semidirect
15. C3×#2880C2semidirect
16. #60523C3direct (N × H)
32. C3×#520C22semidirect
33. C3×#520C22semidirect
38. C2×C3×#117C22semidirect
39. C2×C3×#117C22semidirect
40. C3×#485C22semidirect
41. C3×#485C22semidirect
42. C3×#485C22semidirect
43. C3×#484C22semidirect
44. C3×#483C22semidirect
45. C3×#482C22semidirect
46. C3×#482C22semidirect
47. C3×#482C22semidirect
48. C3×#482C22semidirect
49. C3×#482C22semidirect
50. C3×#482C22semidirect
51. C3×#481C22semidirect
52. C3×#481C22semidirect
53. C3×#480C22semidirect
54. C3×#480C22semidirect
55. C3×#428C22semidirect
56. C3×#428C22semidirect
57. C3×#428C22semidirect
58. C3×#428C22semidirect
59. C3×#427C22semidirect
60. C3×#427C22semidirect
61. C2×C3×#107C22semidirect
62. C2×C3×#106C22semidirect
63. C3×#418C22semidirect
64. C3×#418C22semidirect
65. C3×#417C22semidirect
66. C3×#417C22semidirect
67. C3×#416C22semidirect
68. C3×#416C22semidirect
69. C2×C3×#102C22semidirect
70. C2×C3×#102C22semidirect
71. C3×#408C22semidirect
72. C3×#408C22semidirect
73. C3×#407C22semidirect
74. C2×C3×C22⋊C8C22semidirect
76. #3428C2×C3semidirect
77. #3099C2×C3semidirect
78. #3098C2×C3semidirect
79. #3096C2×C3semidirect
80. #3096C2×C3semidirect
81. #3094C2×C3semidirect
82. #3093C2×C3semidirect
83. #3091C2×C3semidirect
84. C2×#482C2×C3semidirect
85. #2913C2×C3semidirect
86. #2912C2×C3semidirect
87. #2897C2×C3semidirect
88. #2897C2×C3semidirect
89. #2880C2×C3semidirect
201. #520C22×C3semidirect
202. #520C22×C3semidirect
207. C2×#117C22×C3semidirect
208. C2×#117C22×C3semidirect
209. #485C22×C3semidirect
210. #485C22×C3semidirect
211. #485C22×C3semidirect
212. #484C22×C3semidirect
213. #483C22×C3semidirect
214. #482C22×C3semidirect
215. #482C22×C3semidirect
216. #482C22×C3semidirect
217. #482C22×C3semidirect
218. #482C22×C3semidirect
219. #482C22×C3semidirect
220. #481C22×C3semidirect
221. #481C22×C3semidirect
222. #480C22×C3semidirect
223. #480C22×C3semidirect
224. #428C22×C3semidirect
225. #428C22×C3semidirect
226. #428C22×C3semidirect
227. #428C22×C3semidirect
228. #427C22×C3semidirect
229. #427C22×C3semidirect
230. C2×#107C22×C3semidirect
231. C2×#106C22×C3semidirect
232. #418C22×C3semidirect
233. #418C22×C3semidirect
234. #417C22×C3semidirect
235. #417C22×C3semidirect
236. #416C22×C3semidirect
237. #416C22×C3semidirect
238. C2×#102C22×C3semidirect
239. C2×#102C22×C3semidirect
240. #408C22×C3semidirect
241. #408C22×C3semidirect
242. #407C22×C3semidirect
243. C2×C22⋊C8C22×C3semidirect
671. C3#60523direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#34882
C3×#34282
C3×#30992
C3×#30982
C3×#30962
C3×#30942
C3×#30932
C3×#30912
C2×C3×#4822
C3×#29132
C3×#29122
C3×#28972
C3×#28802
#605233