Finite Group Databasebeta

← C3×#60524 #10679131

Subgroups — C3×#60524 #10679131

Order 768.

2116 conjugacy classes of subgroups.

The subgroup lattice has 670 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3489C211yesmaximal, characteristic
2C3×#3428C211yesmaximal, characteristic, complemented
3C3×#3099C213yesmaximal, complemented
4C3×#3098C213yesmaximal, complemented
5C3×#3097C213yesmaximal, complemented
6C3×#3097C213yesmaximal, complemented
7C3×#3095C213yesmaximal, complemented
8C3×#3093C213yesmaximal, complemented
9C3×#3091C213yesmaximal, complemented
10C2×C3×#485C213yesmaximal, complemented
11C3×#2913C211yesmaximal, characteristic, complemented
12C3×#2912C211yesmaximal, characteristic, complemented
13C3×#2898C211yesmaximal, characteristic, complemented
14C3×#2898C211yesmaximal, characteristic, complemented
15C3×#2880C211yesmaximal, characteristic, complemented
16#60524C311yesmaximal, characteristic, direct product factor, Sylow
17C2×C3×2−1+4C2211yescharacteristic
18C22×C3×#41C2211yescharacteristic
19C2×C3×#131C2211yescharacteristic
20C2×C3×#131C2211yescharacteristic
21C3×D4×Q8—21no—
22C3×#548—21no—
23C3×#547—23no—
24C3×#546—23no—
25C3×#537C2213yes—
26C3×#536C2213yes—
27C3×#525C2213yes—
28C2×C3×C22⋊Q8C2213yes—
29C3×#520C2211yescharacteristic
30C3×#520C2211yescharacteristic
31C3×#520C2213yes—
32C3×#520C2213yes—
33C3×#520C2211yescharacteristic
34C3×#519—21no—
35C3×#518—23no—
36C3×C4×#41—23no—
37C3×C4×#41—21no—
38C2×C3×#117C2213yes—
39C2×C3×#117C2213yes—
40C3×#485C2213yes—
41C3×#485C2216yes—
42C3×#485C2213yes—
43C3×#485C2216yescomplemented
44C3×#485C2216yescomplemented
45C3×#485C2216yescomplemented
46C3×#484C2213yescomplemented
47C3×#484C2216yescomplemented
48C3×#483C2213yescomplemented
49C3×#483C2216yescomplemented
50C3×#482C2211yescharacteristic
51C3×#482C2213yes—
52C3×#482C2216yescomplemented
53C3×#481C2213yescomplemented
54C3×#480C2213yescomplemented
55C3×#428C2213yescomplemented
56C3×#428C2213yescomplemented
57C3×#428C2213yescomplemented
58C3×#428C2213yescomplemented
59C3×#427C2213yescomplemented
60C3×#427C2213yescomplemented
61C2×C3×#107C2213yescomplemented
62C2×C3×#106C2213yescomplemented
63C3×#419C2213yescomplemented
64C3×#419C2213yescomplemented
65C3×#417C2213yescomplemented
66C3×#417C2213yescomplemented
67C3×#416C2213yescomplemented
68C3×#416C2213yescomplemented
69C2×C3×#103C2213yescomplemented
70C2×C3×#103C2213yescomplemented
71C3×#408C2213yes—
72C3×#408C2213yes—
73C3×#407C2213yes—
74C2×C3×C22⋊C8C2213yes—
75#3489C2×C311yescharacteristic
76#3428C2×C311yescharacteristic, complemented
77#3099C2×C313yescomplemented
78#3098C2×C313yescomplemented
79#3097C2×C313yescomplemented
80#3097C2×C313yescomplemented
81#3095C2×C313yescomplemented
82#3093C2×C313yescomplemented
83#3091C2×C313yescomplemented
84C2×#485C2×C313yescomplemented
85#2913C2×C311yescharacteristic, complemented
86#2912C2×C311yescharacteristic, complemented
87#2898C2×C311yescharacteristic, complemented
88#2898C2×C311yescharacteristic, complemented
89#2880C2×C311yescharacteristic, complemented
90C3×2−1+4—24no—
91C3×2−1+4—24no—
92C2×C3×#41—24no—
93C2×C3×#41—24no—
94C2×C3×#41—23no—
95C2×C3×#41D413yes—
96C2×C3×#41D411yescharacteristic
97C2×C3×#41C2313yes—
98C2×C3×#41C2313yes—
99C2×C3×#41C2311yescharacteristic
100C22×C3×Q8—21no—
101C22×C3×Q8D411yescharacteristic
102C22×C3×Q8C2313yes—
103C22×C3×D4D413yes—
104C23×C3×C4C2313yes—
105C3×#131—24no—
106C3×#131—24no—
107C2×C3×M16C2313yes—
108C2×C3×M16C2313yes—
109C22×C3×C8C2313yes—
110C22×C3×C8C2313yes—
111C3×C4⋊Q8—23no—
112C3×#124—23no—
113C3×#123—26no—
114C3×#123—23no—
115C3×C22⋊Q8—23no—
116C3×C22⋊Q8—23no—
117C3×C22⋊Q8—23no—
118C3×C22⋊Q8C2313yes—
119C3×C22⋊Q8C2316yes—
120C3×C22⋊Q8C2313yes—
121C3×#121—26no—
122C3×#121—23no—
123C3×#121C2311yescharacteristic
124C3×#121C2313yes—
125C3×#120—23no—
126C3×C4×Q8—23no—
127C3×C4×Q8—23no—
128C3×C4×Q8—21no—
129C3×C4×Q8—21no—
130C3×C4×Q8—21no—
131C3×C4×D4—26no—
132C3×C4×D4—26no—
133C3×C4×D4—23no—
134C3×C4×D4—23no—
135C3×C4×D4—23no—
136C3×C4×D4—23no—
137C3×C4×D4—23no—
138C3×C4×D4—23no—
139C3×C4×D4—23no—
140C3×#117—23no—
141C3×#117—23no—
142C3×#117—23no—
143C3×#117—23no—
144C3×#117C2313yes—
145C3×#117C2313yes—
146C3×#117C2313yes—
147C3×#117C2313yes—
148C3×#117C2311yescharacteristic
149C3×#117C2316yes—
150C2×C3×C4⋊C4—23no—
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×#103C2313yes—
172C3×#103C2313yes—
173C3×#103C2316yes—
174C3×#103C2316yes—
175C3×#103C2313yes—
176C3×#103C2313yes—
177C3×#102C2311yescharacteristic
178C3×#102C2311yescharacteristic
179C3×#102C2313yes—
180C3×#102C2313yes—
181C3×C22⋊C8C2311yescharacteristic
182C3×C22⋊C8C2313yes—
183C3×C22⋊C8C2313yes—
184C3×C22⋊C8C2313yes—
185C3×C22⋊C8C2316yes—
186C2×2−1+4C22×C311yescharacteristic
187C22×#41C22×C311yescharacteristic
188C2×#131C22×C311yescharacteristic
189C2×#131C22×C311yescharacteristic
190D4×Q8—21no—
191#548—21no—
192#547—23no—
193#546—23no—
194#537C22×C313yes—
195#536C22×C313yes—
196#525C22×C313yes—
197C2×C22⋊Q8C22×C313yes—
198#520C22×C313yes—
199#520C22×C313yes—
200#520C22×C311yescharacteristic
201#520C22×C311yescharacteristic
202#520C22×C311yescharacteristic
203#519—21no—
204#518—23no—
205C4×#41—23no—
206C4×#41—21no—
207C2×#117C22×C313yes—
208C2×#117C22×C313yes—
209#485C22×C313yes—
210#485C22×C316yes—
211#485C22×C313yes—
212#485C22×C316yescomplemented
213#485C22×C316yescomplemented
214#485C22×C316yescomplemented
215#484C22×C313yescomplemented
216#484C22×C316yescomplemented
217#483C22×C313yescomplemented
218#483C22×C316yescomplemented
219#482C22×C311yescharacteristic
220#482C22×C313yes—
221#482C22×C316yescomplemented
222#481C22×C313yescomplemented
223#480C22×C313yescomplemented
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#419C22×C313yescomplemented
233#419C22×C313yescomplemented
234#417C22×C313yescomplemented
235#417C22×C313yescomplemented
236#416C22×C313yescomplemented
237#416C22×C313yescomplemented
238C2×#103C22×C313yescomplemented
239C2×#103C22×C313yescomplemented
240#408C22×C313yes—
241#408C22×C313yes—
242#407C22×C313yes—
243C2×C22⋊C8C22×C313yes—
244C24×C3C2×D413yes—
245C3×#41—24no—
246C3×#41—212no—
247C3×#41—26no—
248C3×#41—26no—
249C3×#41—26no—
250C3×#41—26no—
251C3×#41—412no—
252C3×#41#4114yes—
253C3×#41#4114yes—
254C2×C3×Q8—24no—
255C2×C3×Q8—23no—
256C2×C3×Q8—26no—
257C2×C3×Q8—26no—
258C2×C3×Q8—44no—
259C2×C3×Q8C2×D413yes—
260C2×C3×Q8C2×D411yescharacteristic
261C2×C3×Q8C2413yes—
262C2×C3×D4—212no—
263C2×C3×D4—21no—
264C2×C3×D4—23no—
265C2×C3×D4—23no—
266C2×C3×D4C2×D416yes—
267C2×C3×D4C2×D413yes—
268C2×C3×D4C2×D413yes—
269C2×C3×D4C2411yescharacteristic
270C22×C3×C4—26no—
271C22×C3×C4—26no—
272C22×C3×C4—23no—
273C22×C3×C4—23no—
274C22×C3×C4—23no—
275C22×C3×C4—23no—
276C22×C3×C4—23no—
277C22×C3×C4—23no—
278C22×C3×C4—23no—
279C22×C3×C4C2×D413yes—
280C22×C3×C4C2×D413yes—
281C22×C3×C4C2×D413yes—
282C22×C3×C4C2413yes—
283C22×C3×C4C2411yescharacteristic
284C22×C3×C4C2413yes—
285C3×M16—26no—
286C3×M16—26no—
287C2×C3×C8—26no—
288C2×C3×C8—26no—
289C2×C3×C8C2411yescharacteristic
290C2×C3×C8C2413yes—
291C2×C3×C8C2413yes—
292C2×C3×C8C2411yescharacteristic
293C3×C4⋊C4—23no—
294C3×C4⋊C4—26no—
295C3×C4⋊C4—23no—
296C3×C4⋊C4—23no—
297C3×C4⋊C4—23no—
298C3×C4⋊C4—23no—
299C3×C4⋊C4—23no—
300C3×C4⋊C4—23no—
301C3×C4⋊C4C2411yescharacteristic
302C3×C4⋊C4C2413yes—
303C3×C4⋊C4C2411yescharacteristic
304C3×C4⋊C4C2413yes—
305C3×C4⋊C4C2413yes—
306C3×C4⋊C4C2411yescharacteristic
307C3×C22⋊C4—23no—
308C3×C22⋊C4—21no—
309C3×C22⋊C4—23no—
310C3×C22⋊C4—26no—
311C3×C22⋊C4—23no—
312C3×C22⋊C4—23no—
313C3×C22⋊C4—26no—
314C3×C22⋊C4—23no—
315C3×C22⋊C4—23no—
316C3×C22⋊C4—21no—
317C3×C22⋊C4—23no—
318C3×C42—23no—
319C3×C42—21no—
320C3×C42—26no—
321C3×C42—23no—
322C3×C42—23no—
323C3×C42—23no—
3242−1+4—24no—
3252−1+4—24no—
326C2×#41—24no—
327C2×#41—24no—
328C2×#41—23no—
329C2×#41C3×D413yes—
330C2×#41C3×D411yescharacteristic
331C2×#41C23×C313yes—
332C2×#41C23×C313yes—
333C2×#41C23×C311yescharacteristic
334C22×Q8—21no—
335C22×Q8C3×D411yescharacteristic
336C22×Q8C23×C313yes—
337C22×D4C3×D413yes—
338C23×C4C23×C313yes—
339#131—24no—
340#131—24no—
341C2×M16C23×C313yes—
342C2×M16C23×C313yes—
343C22×C8C23×C313yes—
344C22×C8C23×C313yes—
345C4⋊Q8—23no—
346#124—23no—
347#123—26no—
348#123—23no—
349C22⋊Q8—23no—
350C22⋊Q8—23no—
351C22⋊Q8—23no—
352C22⋊Q8C23×C313yes—
353C22⋊Q8C23×C316yes—
354C22⋊Q8C23×C313yes—
355#121—26no—
356#121—23no—
357#121C23×C311yescharacteristic
358#121C23×C313yes—
359#120—23no—
360C4×Q8—23no—
361C4×Q8—23no—
362C4×Q8—21no—
363C4×Q8—21no—
364C4×Q8—21no—
365C4×D4—26no—
366C4×D4—26no—
367C4×D4—23no—
368C4×D4—23no—
369C4×D4—23no—
370C4×D4—23no—
371C4×D4—23no—
372C4×D4—23no—
373C4×D4—23no—
374#117—23no—
375#117—23no—
376#117—23no—
377#117—23no—
378#117C23×C313yes—
379#117C23×C311yescharacteristic
380#117C23×C313yes—
381#117C23×C313yes—
382#117C23×C316yes—
383#117C23×C313yes—
384C2×C4⋊C4—23no—
385C2×C4⋊C4C23×C313yes—
386C2×C4⋊C4C23×C313yes—
387C2×C4⋊C4C23×C313yes—
388C2×C4⋊C4C23×C313yes—
389C2×C4⋊C4C23×C313yes—
390C2×C22⋊C4—23no—
391C2×C22⋊C4—23no—
392C2×C22⋊C4—23no—
393C2×C42—23no—
394C2×C42—23no—
395#107C23×C313yes—
396#107C23×C316yes—
397#107C23×C311yescharacteristic
398#107C23×C313yes—
399#107C23×C313yes—
400#106C23×C313yes—
401#106C23×C316yes—
402#106C23×C311yescharacteristic
403#106C23×C313yes—
404#106C23×C313yes—
405#103C23×C313yes—
406#103C23×C313yes—
407#103C23×C316yes—
408#103C23×C316yes—
409#103C23×C313yes—
410#103C23×C313yes—
411#102C23×C311yescharacteristic
412#102C23×C311yescharacteristic
413#102C23×C313yes—
414#102C23×C313yes—
415C22⋊C8C23×C311yescharacteristic
416C22⋊C8C23×C313yes—
417C22⋊C8C23×C313yes—
418C22⋊C8C23×C313yes—
419C22⋊C8C23×C316yes—
420C23×C3—26no—
421C23×C3—21no—
422C23×C3—43no—
423C23×C3—43no—
424C23×C3C22×D411yescharacteristic
425C23×C3C22×D413yes—
426C23×C3C22×D413yes—
427C3×Q8—26no—
428C3×Q8—23no—
429C3×Q8—23no—
430C3×Q8—46no—
431C3×Q8#12314yes—
432C3×D4—212no—
433C3×D4—26no—
434C3×D4—21no—
435C3×D4—21no—
436C3×D4—42no—
437C3×D4—46no—
438C3×D4—83no—
439C3×D4#123112yes—
440C2×C3×C4—26no—
441C2×C3×C4—26no—
442C2×C3×C4—26no—
443C2×C3×C4—21no—
444C2×C3×C4—21no—
445C2×C3×C4—23no—
446C2×C3×C4—23no—
447C2×C3×C4—23no—
448C2×C3×C4—21no—
449C2×C3×C4—23no—
450C2×C3×C4—21no—
451C2×C3×C4—21no—
452C2×C3×C4—23no—
453C2×C3×C4—23no—
454C2×C3×C4—46no—
455C2×C3×C4—46no—
456C2×C3×C4—83no—
457C2×C3×C4—83no—
458C2×C3×C4—83no—
459C2×C3×C4—83no—
460C2×C3×C4—83no—
461C2×C3×C4C22×D411yescharacteristic
462C2×C3×C4C22×D413yes—
463C2×C3×C4C22×D413yes—
464C2×C3×C4C2×#4116yes—
465C2×C3×C4C2×#4116yes—
466C2×C3×C4C2511yescharacteristic
467C3×C8—21no—
468C3×C8—21no—
469C3×C8—23no—
470C3×C8—23no—
471C24C2×C3×D413yes—
472#41—24no—
473#41—212no—
474#41—26no—
475#41—26no—
476#41—26no—
477#41—26no—
478#41—412no—
479#41C3×#4114yes—
480#41C3×#4114yes—
481C2×Q8—24no—
482C2×Q8—23no—
483C2×Q8—26no—
484C2×Q8—26no—
485C2×Q8—44no—
486C2×Q8C2×C3×D413yes—
487C2×Q8C2×C3×D411yescharacteristic
488C2×Q8C24×C313yes—
489C2×D4—212no—
490C2×D4—21no—
491C2×D4—23no—
492C2×D4—23no—
493C2×D4C2×C3×D416yes—
494C2×D4C2×C3×D413yes—
495C2×D4C2×C3×D413yes—
496C2×D4C24×C311yescharacteristic
497C22×C4—26no—
498C22×C4—26no—
499C22×C4—23no—
500C22×C4—23no—
501C22×C4—23no—
502C22×C4—23no—
503C22×C4—23no—
504C22×C4—23no—
505C22×C4—23no—
506C22×C4C2×C3×D413yes—
507C22×C4C2×C3×D413yes—
508C22×C4C2×C3×D413yes—
509C22×C4C24×C313yes—
510C22×C4C24×C311yescharacteristic
511C22×C4C24×C313yes—
512M16—26no—
513M16—26no—
514C2×C8—26no—
515C2×C8—26no—
516C2×C8C24×C311yescharacteristic
517C2×C8C24×C313yes—
518C2×C8C24×C313yes—
519C2×C8C24×C311yescharacteristic
520C4⋊C4—23no—
521C4⋊C4—26no—
522C4⋊C4—23no—
523C4⋊C4—23no—
524C4⋊C4—23no—
525C4⋊C4—23no—
526C4⋊C4—23no—
527C4⋊C4—23no—
528C4⋊C4C24×C311yescharacteristic
529C4⋊C4C24×C313yes—
530C4⋊C4C24×C311yescharacteristic
531C4⋊C4C24×C313yes—
532C4⋊C4C24×C313yes—
533C4⋊C4C24×C311yescharacteristic
534C22⋊C4—23no—
535C22⋊C4—21no—
536C22⋊C4—23no—
537C22⋊C4—26no—
538C22⋊C4—23no—
539C22⋊C4—23no—
540C22⋊C4—26no—
541C22⋊C4—23no—
542C22⋊C4—23no—
543C22⋊C4—21no—
544C22⋊C4—23no—
545C42—23no—
546C42—21no—
547C42—26no—
548C42—23no—
549C42—23no—
550C42—23no—
551C22×C3—23no—
552C22×C3—23no—
553C22×C3—23no—
554C22×C3—21no—
555C22×C3—23no—
556C22×C3—21no—
557C22×C3—21no—
558C22×C3—23no—
559C22×C3—41no—
560C22×C3—41no—
561C22×C3—41no—
562C22×C3—86no—
563C22×C3C2×#12316yes—
564C22×C3C23×D411yescharacteristic
565C3×C4—21no—
566C3×C4—23no—
567C3×C4—43no—
568C3×C4—41no—
569C3×C4—43no—
570C3×C4—43no—
571C3×C4—41no—
572C3×C4—41no—
573C3×C4—43no—
574C3×C4C2×#12316yes—
575C3×C4C22×#4111yescharacteristic
576C3×C4C22×#4111yescharacteristic
577C23—26no—
578C23—21no—
579C23—43no—
580C23—43no—
581C23C22×C3×D411yescharacteristic
582C23C22×C3×D413yes—
583C23C22×C3×D413yes—
584Q8—26no—
585Q8—23no—
586Q8—23no—
587Q8—46no—
588Q8C3×#12314yes—
589D4—212no—
590D4—21no—
591D4—21no—
592D4—26no—
593D4—42no—
594D4—46no—
595D4—83no—
596D4C3×#123112yes—
597C2×C4—26no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—23no—
601C2×C4—23no—
602C2×C4—26no—
603C2×C4—26no—
604C2×C4—23no—
605C2×C4—21no—
606C2×C4—23no—
607C2×C4—21no—
608C2×C4—21no—
609C2×C4—23no—
610C2×C4—23no—
611C2×C4—46no—
612C2×C4—46no—
613C2×C4—83no—
614C2×C4—83no—
615C2×C4—83no—
616C2×C4—83no—
617C2×C4—83no—
618C2×C4C22×C3×D411yescharacteristic
619C2×C4C22×C3×D413yes—
620C2×C4C22×C3×D413yes—
621C2×C4C2×C3×#4116yes—
622C2×C4C2×C3×#4116yes—
623C2×C4C25×C311yescharacteristic
624C8—21no—
625C8—21no—
626C8—23no—
627C8—23no—
628C2×C3—26no—
629C2×C3—43no—
630C2×C3—41no—
631C2×C3—81no—
632C2×C3C22×#12311yescharacteristic
633C2×C3#358411yescharacteristic
634C2×C3#358611yescharacteristic
635C22—23no—
636C22—23no—
637C22—21no—
638C22—23no—
639C22—23no—
640C22—21no—
641C22—23no—
642C22—21no—
643C22—41no—
644C22—41no—
645C22—41no—
646C22—86no—
647C22C2×C3×#12316yes—
648C22C23×C3×D411yescharacteristic
649C4—21no—
650C4—23no—
651C4—43no—
652C4—43no—
653C4—41no—
654C4—43no—
655C4—43no—
656C4—41no—
657C4—41no—
658C4C2×C3×#12316yes—
659C4C22×C3×#4111yescharacteristic
660C4C22×C3×#4111yescharacteristic
661C3#6052411yescharacteristic, direct product factor, Sylow
662C2—26no—
663C2—41no—
664C2—43no—
665C2—81no—
666C2C22×C3×#12311yescharacteristic
667C2C3×#358411yescharacteristic
668C2C3×#358611yescharacteristic
subgroupG/H
center, socleC22×C3C23×D4
commutator, Frattini, cosocleC2×C4C25×C3
prime radicalC3×#3489C2
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×#3097C2semidirect
6. C3×#3097C2semidirect
7. C3×#3095C2semidirect
8. C3×#3093C2semidirect
9. C3×#3091C2semidirect
10. C2×C3×#485C2semidirect
11. C3×#2913C2semidirect
12. C3×#2912C2semidirect
13. C3×#2898C2semidirect
14. C3×#2898C2semidirect
15. C3×#2880C2semidirect
16. #60524C3direct (N × H)
43. C3×#485C22semidirect
44. C3×#485C22semidirect
45. C3×#485C22semidirect
46. C3×#484C22semidirect
47. C3×#484C22semidirect
48. C3×#483C22semidirect
49. C3×#483C22semidirect
52. C3×#482C22semidirect
53. C3×#481C22semidirect
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×#419C22semidirect
64. C3×#419C22semidirect
65. C3×#417C22semidirect
66. C3×#417C22semidirect
67. C3×#416C22semidirect
68. C3×#416C22semidirect
69. C2×C3×#103C22semidirect
70. C2×C3×#103C22semidirect
76. #3428C2×C3semidirect
77. #3099C2×C3semidirect
78. #3098C2×C3semidirect
79. #3097C2×C3semidirect
80. #3097C2×C3semidirect
81. #3095C2×C3semidirect
82. #3093C2×C3semidirect
83. #3091C2×C3semidirect
84. C2×#485C2×C3semidirect
85. #2913C2×C3semidirect
86. #2912C2×C3semidirect
87. #2898C2×C3semidirect
88. #2898C2×C3semidirect
89. #2880C2×C3semidirect
212. #485C22×C3semidirect
213. #485C22×C3semidirect
214. #485C22×C3semidirect
215. #484C22×C3semidirect
216. #484C22×C3semidirect
217. #483C22×C3semidirect
218. #483C22×C3semidirect
221. #482C22×C3semidirect
222. #481C22×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. #419C22×C3semidirect
233. #419C22×C3semidirect
234. #417C22×C3semidirect
235. #417C22×C3semidirect
236. #416C22×C3semidirect
237. #416C22×C3semidirect
238. C2×#103C22×C3semidirect
239. C2×#103C22×C3semidirect
661. C3#60524direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#34892
C3×#34282
C3×#30992
C3×#30982
C3×#30972
C3×#30952
C3×#30932
C3×#30912
C2×C3×#4852
C3×#29132
C3×#29122
C3×#28982
C3×#28802
#605243