Finite Group Databasebeta

← C3×#19095 #10637702

Subgroups — C3×#19095 #10637702

Order 768.

834 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3568C211yesmaximal, characteristic
2C3×#3239C211yesmaximal, characteristic, complemented
3C3×#3238C211yesmaximal, characteristic, complemented
4C3×#3218C211yesmaximal, characteristic, complemented
5C3×#1664C212yesmaximal, complemented
6C3×#1664C212yesmaximal, complemented
7C3×#1660C212yesmaximal, complemented
8C3×#1659C212yesmaximal, complemented
9C3×#1535C211yesmaximal, characteristic, complemented
10C3×#1535C211yesmaximal, characteristic, complemented
11C3×#1535C211yesmaximal, characteristic, complemented
12#19095C311yesmaximal, characteristic, direct product factor, Sylow
13C3×#563C2211yescharacteristic
14C3×#563C2211yescharacteristic
15C3×#563C2211yescharacteristic
16C3×H(3,𝔽4)C2211yescharacteristic
17C3×#556—21no—
18C3×#556—21no—
19C3×#556—21no—
20C3×#551—21no—
21C3×#551—21no—
22C3×#551—21no—
23C3×#542—21no—
24C3×#542—21no—
25C3×#542—21no—
26C3×#538—21no—
27C3×#538—21no—
28C3×#538—21no—
29C2×C3×C4⋊Q8C2211yescharacteristic, complemented
30C3×#529C2211yescharacteristic
31C3×#529C2211yescharacteristic
32C3×#529C2211yescharacteristic
33C3×#501C2212yescomplemented
34C3×#501C2212yescomplemented
35C3×#497C2212yes—
36C3×#491C2212yescomplemented
37C3×#489C2212yes—
38C3×#489C2212yes—
39C3×#484—21no—
40C3×#483—21no—
41C3×#481—21no—
42C3×#480—21no—
43C3×#477—21no—
44C3×#476—21no—
45C3×#475—21no—
46C3×#474—21no—
47C3×#462—21no—
48C3×#461—21no—
49C3×#451—21no—
50C3×#448—21no—
51C3×#432C2211yescharacteristic, complemented
52C3×#432C2211yescharacteristic, complemented
53C3×#432C2211yescharacteristic, complemented
54C3×#330C2212yescomplemented
55C3×#330C2212yescomplemented
56C3×#330C2212yescomplemented
57C3×#329C2212yes—
58C3×#329C2212yes—
59C3×#329C2212yes—
60#3568C2×C311yescharacteristic
61#3239C2×C311yescharacteristic, complemented
62#3238C2×C311yescharacteristic, complemented
63#3218C2×C311yescharacteristic, complemented
64#1664C2×C312yescomplemented
65#1664C2×C312yescomplemented
66#1660C2×C312yescomplemented
67#1659C2×C312yescomplemented
68#1535C2×C311yescharacteristic, complemented
69#1535C2×C311yescharacteristic, complemented
70#1535C2×C311yescharacteristic, complemented
71C22×C3×Q8—21no—
72C2×C3×Q16—22no—
73C2×C3×SD16—22no—
74C3×C4⋊Q8—21no—
75C3×C4⋊Q8—21no—
76C3×C4⋊Q8—21no—
77C3×C4⋊Q8—21no—
78C3×C4⋊Q8—21no—
79C3×C4⋊Q8—21no—
80C3×C4⋊Q8C2312yes—
81C3×#126—21no—
82C3×#126—21no—
83C3×#126—21no—
84C3×#126—21no—
85C3×#126—21no—
86C3×#126—21no—
87C3×#126—21no—
88C3×#126—21no—
89C3×#126—21no—
90C3×#126—21no—
91C3×#126—21no—
92C3×#126—21no—
93C3×#126—21no—
94C3×#125C2311yescharacteristic
95C3×#125C2311yescharacteristic
96C3×#125C2311yescharacteristic
97C3×#124—21no—
98C3×#124—21no—
99C3×#124—21no—
100C3×#124—21no—
101C3×#124—21no—
102C3×#124—21no—
103C3×#124—21no—
104C3×#124—21no—
105C3×#124—21no—
106C3×#124C2311yescharacteristic
107C3×#124C2311yescharacteristic
108C3×#124C2311yescharacteristic
109C3×#123—21no—
110C3×#123—21no—
111C3×#123—21no—
112C3×#123—21no—
113C3×#123—21no—
114C3×#123—21no—
115C3×#123—21no—
116C3×#123—21no—
117C3×#123—21no—
118C3×C22⋊Q8—21no—
119C3×C22⋊Q8—21no—
120C3×C22⋊Q8—21no—
121C3×C22⋊Q8—21no—
122C3×C22⋊Q8—21no—
123C3×C22⋊Q8—21no—
124C3×C22⋊Q8—21no—
125C3×C22⋊Q8—21no—
126C3×C22⋊Q8—21no—
127C3×C22⋊Q8D411yescharacteristic
128C3×C22⋊Q8D411yescharacteristic
129C3×C22⋊Q8D411yescharacteristic
130C3×#121—21no—
131C3×#121—21no—
132C3×#121—21no—
133C3×#121D411yescharacteristic
134C3×#121D411yescharacteristic
135C3×#121D411yescharacteristic
136C3×#120—21no—
137C3×#120—21no—
138C3×#120—21no—
139C3×#120—21no—
140C3×C4×Q8—21no—
141C3×C4×Q8—21no—
142C3×C4×Q8—21no—
143C3×C4×Q8D411yescharacteristic
144C3×C4×Q8D411yescharacteristic
145C3×C4×Q8D411yescharacteristic
146C3×C4×D4—21no—
147C3×C4×D4—21no—
148C3×C4×D4—21no—
149C3×C4×D4—21no—
150C3×C4×D4—21no—
151C3×C4×D4—21no—
152C3×C4×D4D411yescharacteristic
153C3×C4×D4D411yescharacteristic
154C3×C4×D4D411yescharacteristic
155C3×#117—21no—
156C3×#117—21no—
157C3×#117—21no—
158C3×#117—21no—
159C3×#117—21no—
160C3×#117—21no—
161C2×C3×C4⋊C4—21no—
162C2×C3×C4⋊C4—21no—
163C2×C3×C22⋊C4—21no—
164C2×C3×C22⋊C4—21no—
165C2×C3×C22⋊C4—21no—
166C2×C3×C42C2311yescharacteristic
167C3×#107—22no—
168C3×#107—22no—
169C3×#106—22no—
170C3×#106—22no—
171C3×C4⋊C8—21no—
172C3×C4⋊C8—21no—
173C3×C4⋊C8—21no—
174C3×#103—22no—
175C3×#103—22no—
176C3×#103—22no—
177C3×#103—22no—
178C3×#102—22no—
179C3×#102—22no—
180C3×C22⋊C8—21no—
181C3×C22⋊C8—21no—
182C3×C22⋊C8—21no—
183C3×#97C2312yes—
184C3×#97C2312yes—
185C3×#97C2312yes—
186#563C22×C311yescharacteristic
187#563C22×C311yescharacteristic
188#563C22×C311yescharacteristic
189H(3,𝔽4)C22×C311yescharacteristic
190#556—21no—
191#556—21no—
192#556—21no—
193#551—21no—
194#551—21no—
195#551—21no—
196#542—21no—
197#542—21no—
198#542—21no—
199#538—21no—
200#538—21no—
201#538—21no—
202C2×C4⋊Q8C22×C311yescharacteristic, complemented
203#529C22×C311yescharacteristic
204#529C22×C311yescharacteristic
205#529C22×C311yescharacteristic
206#501C22×C312yescomplemented
207#501C22×C312yescomplemented
208#497C22×C312yes—
209#491C22×C312yescomplemented
210#489C22×C312yes—
211#489C22×C312yes—
212#484—21no—
213#483—21no—
214#481—21no—
215#480—21no—
216#477—21no—
217#476—21no—
218#475—21no—
219#474—21no—
220#462—21no—
221#461—21no—
222#451—21no—
223#448—21no—
224#432C22×C311yescharacteristic, complemented
225#432C22×C311yescharacteristic, complemented
226#432C22×C311yescharacteristic, complemented
227#330C22×C312yescomplemented
228#330C22×C312yescomplemented
229#330C22×C312yescomplemented
230#329C22×C312yes—
231#329C22×C312yes—
232#329C22×C312yes—
233C24×C3—21no—
234C2×C3×Q8—21no—
235C2×C3×Q8—21no—
236C2×C3×Q8—21no—
237C2×C3×Q8—22no—
238C2×C3×Q8—41no—
239C2×C3×Q8—82no—
240C2×C3×Q8C2×D411yescharacteristic
241C2×C3×Q8C2×D411yescharacteristic
242C2×C3×Q8C2×D411yescharacteristic
243C2×C3×D4—21no—
244C2×C3×D4—21no—
245C2×C3×D4—21no—
246C2×C3×D4—21no—
247C2×C3×D4—21no—
248C2×C3×D4—21no—
249C2×C3×D4C2×D411yescharacteristic
250C2×C3×D4C2×D411yescharacteristic
251C2×C3×D4C2×D411yescharacteristic
252C22×C3×C4—21no—
253C22×C3×C4—21no—
254C22×C3×C4—21no—
255C22×C3×C4—21no—
256C22×C3×C4—21no—
257C22×C3×C4—21no—
258C22×C3×C4—41no—
259C22×C3×C4C2×D411yescharacteristic
260C22×C3×C4C2×D411yescharacteristic
261C22×C3×C4C2×D411yescharacteristic
262C3×Q16—82no—
263C3×SD16—82no—
264C2×C3×C8—22no—
265C2×C3×C8—22no—
266C2×C3×C8—22no—
267C3×C4⋊C4—21no—
268C3×C4⋊C4—21no—
269C3×C4⋊C4—21no—
270C3×C4⋊C4—21no—
271C3×C4⋊C4—21no—
272C3×C4⋊C4—21no—
273C3×C4⋊C4—21no—
274C3×C4⋊C4—21no—
275C3×C4⋊C4—21no—
276C3×C4⋊C4—21no—
277C3×C4⋊C4—21no—
278C3×C4⋊C4—21no—
279C3×C4⋊C4—21no—
280C3×C4⋊C4—21no—
281C3×C4⋊C4—21no—
282C3×C4⋊C4—21no—
283C3×C4⋊C4—21no—
284C3×C4⋊C4—21no—
285C3×C4⋊C4—22no—
286C3×C4⋊C4—22no—
287C3×C4⋊C4—41no—
288C3×C4⋊C4—41no—
289C3×C4⋊C4C2×D411yescharacteristic
290C3×C4⋊C4C2×D411yescharacteristic
291C3×C4⋊C4C2×D411yescharacteristic
292C3×C4⋊C4C2×D411yescharacteristic
293C3×C4⋊C4C2×D411yescharacteristic
294C3×C4⋊C4C2×D411yescharacteristic
295C3×C22⋊C4—21no—
296C3×C22⋊C4—21no—
297C3×C22⋊C4—21no—
298C3×C22⋊C4—21no—
299C3×C22⋊C4—21no—
300C3×C22⋊C4—21no—
301C3×C22⋊C4—21no—
302C3×C22⋊C4—21no—
303C3×C22⋊C4—21no—
304C3×C22⋊C4—21no—
305C3×C22⋊C4—21no—
306C3×C22⋊C4—21no—
307C3×C22⋊C4—21no—
308C3×C22⋊C4—21no—
309C3×C22⋊C4—21no—
310C3×C22⋊C4—21no—
311C3×C22⋊C4—21no—
312C3×C22⋊C4—21no—
313C3×C22⋊C4—21no—
314C3×C22⋊C4—21no—
315C3×C22⋊C4—21no—
316C3×C22⋊C4—21no—
317C3×C22⋊C4—21no—
318C3×C22⋊C4—21no—
319C3×C22⋊C4—21no—
320C3×C22⋊C4—21no—
321C3×C22⋊C4—21no—
322C3×C42—21no—
323C3×C42—21no—
324C3×C42—21no—
325C3×C42—21no—
326C3×C42—21no—
327C3×C42—21no—
328C3×C42—21no—
329C3×C42C2×D411yescharacteristic
330C3×C42C2×D411yescharacteristic
331C3×C42C2×D411yescharacteristic
332C3×C42C2411yescharacteristic
333C22×Q8—21no—
334C2×Q16—22no—
335C2×SD16—22no—
336C4⋊Q8—21no—
337C4⋊Q8—21no—
338C4⋊Q8—21no—
339C4⋊Q8—21no—
340C4⋊Q8—21no—
341C4⋊Q8—21no—
342C4⋊Q8C23×C312yes—
343#126—21no—
344#126—21no—
345#126—21no—
346#126—21no—
347#126—21no—
348#126—21no—
349#126—21no—
350#126—21no—
351#126—21no—
352#126—21no—
353#126—21no—
354#126—21no—
355#126—21no—
356#125C23×C311yescharacteristic
357#125C23×C311yescharacteristic
358#125C23×C311yescharacteristic
359#124—21no—
360#124—21no—
361#124—21no—
362#124—21no—
363#124—21no—
364#124—21no—
365#124—21no—
366#124—21no—
367#124—21no—
368#124C23×C311yescharacteristic
369#124C23×C311yescharacteristic
370#124C23×C311yescharacteristic
371#123—21no—
372#123—21no—
373#123—21no—
374#123—21no—
375#123—21no—
376#123—21no—
377#123—21no—
378#123—21no—
379#123—21no—
380C22⋊Q8—21no—
381C22⋊Q8—21no—
382C22⋊Q8—21no—
383C22⋊Q8—21no—
384C22⋊Q8—21no—
385C22⋊Q8—21no—
386C22⋊Q8—21no—
387C22⋊Q8—21no—
388C22⋊Q8—21no—
389C22⋊Q8C3×D411yescharacteristic
390C22⋊Q8C3×D411yescharacteristic
391C22⋊Q8C3×D411yescharacteristic
392#121—21no—
393#121—21no—
394#121—21no—
395#121C3×D411yescharacteristic
396#121C3×D411yescharacteristic
397#121C3×D411yescharacteristic
398#120—21no—
399#120—21no—
400#120—21no—
401#120—21no—
402C4×Q8—21no—
403C4×Q8—21no—
404C4×Q8—21no—
405C4×Q8C3×D411yescharacteristic
406C4×Q8C3×D411yescharacteristic
407C4×Q8C3×D411yescharacteristic
408C4×D4—21no—
409C4×D4—21no—
410C4×D4—21no—
411C4×D4—21no—
412C4×D4—21no—
413C4×D4—21no—
414C4×D4C3×D411yescharacteristic
415C4×D4C3×D411yescharacteristic
416C4×D4C3×D411yescharacteristic
417#117—21no—
418#117—21no—
419#117—21no—
420#117—21no—
421#117—21no—
422#117—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C42C23×C311yescharacteristic
429#107—22no—
430#107—22no—
431#106—22no—
432#106—22no—
433C4⋊C8—21no—
434C4⋊C8—21no—
435C4⋊C8—21no—
436#103—22no—
437#103—22no—
438#103—22no—
439#103—22no—
440#102—22no—
441#102—22no—
442C22⋊C8—21no—
443C22⋊C8—21no—
444C22⋊C8—21no—
445#97C23×C312yes—
446#97C23×C312yes—
447#97C23×C312yes—
448C23×C3—21no—
449C23×C3—21no—
450C23×C3—21no—
451C23×C3—81no—
452C23×C3—81no—
453C23×C3—81no—
454C23×C3#12011yescharacteristic
455C3×Q8—41no—
456C3×Q8—41no—
457C3×Q8—41no—
458C3×Q8—42no—
459C3×Q8—42no—
460C3×Q8—82no—
461C3×Q8—81no—
462C3×Q8—81no—
463C3×Q8—81no—
464C3×D4—41no—
465C3×D4—41no—
466C3×D4—41no—
467C3×D4—81no—
468C3×D4—81no—
469C3×D4—81no—
470C3×D4—81no—
471C3×D4—81no—
472C3×D4—81no—
473C2×C3×C4—21no—
474C2×C3×C4—21no—
475C2×C3×C4—21no—
476C2×C3×C4—21no—
477C2×C3×C4—21no—
478C2×C3×C4—21no—
479C2×C3×C4—21no—
480C2×C3×C4—21no—
481C2×C3×C4—21no—
482C2×C3×C4—41no—
483C2×C3×C4—41no—
484C2×C3×C4—41no—
485C2×C3×C4—42no—
486C2×C3×C4—81no—
487C2×C3×C4—81no—
488C2×C3×C4—81no—
489C2×C3×C4—81no—
490C2×C3×C4—81no—
491C2×C3×C4—81no—
492C2×C3×C4—82no—
493C2×C3×C4#12011yescharacteristic
494C2×C3×C4#12011yescharacteristic
495C2×C3×C4#12011yescharacteristic
496C2×C3×C4C22×D411yescharacteristic
497C2×C3×C4C22×D411yescharacteristic
498C2×C3×C4C22×D411yescharacteristic
499C3×C8—42no—
500C3×C8—42no—
501C3×C8—42no—
502C24—21no—
503C2×Q8—21no—
504C2×Q8—21no—
505C2×Q8—21no—
506C2×Q8—22no—
507C2×Q8—41no—
508C2×Q8—82no—
509C2×Q8C2×C3×D411yescharacteristic
510C2×Q8C2×C3×D411yescharacteristic
511C2×Q8C2×C3×D411yescharacteristic
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4C2×C3×D411yescharacteristic
519C2×D4C2×C3×D411yescharacteristic
520C2×D4C2×C3×D411yescharacteristic
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—21no—
527C22×C4—41no—
528C22×C4C2×C3×D411yescharacteristic
529C22×C4C2×C3×D411yescharacteristic
530C22×C4C2×C3×D411yescharacteristic
531Q16—82no—
532SD16—82no—
533C2×C8—22no—
534C2×C8—22no—
535C2×C8—22no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—21no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—41no—
557C4⋊C4—41no—
558C4⋊C4C2×C3×D411yescharacteristic
559C4⋊C4C2×C3×D411yescharacteristic
560C4⋊C4C2×C3×D411yescharacteristic
561C4⋊C4C2×C3×D411yescharacteristic
562C4⋊C4C2×C3×D411yescharacteristic
563C4⋊C4C2×C3×D411yescharacteristic
564C22⋊C4—21no—
565C22⋊C4—21no—
566C22⋊C4—21no—
567C22⋊C4—21no—
568C22⋊C4—21no—
569C22⋊C4—21no—
570C22⋊C4—21no—
571C22⋊C4—21no—
572C22⋊C4—21no—
573C22⋊C4—21no—
574C22⋊C4—21no—
575C22⋊C4—21no—
576C22⋊C4—21no—
577C22⋊C4—21no—
578C22⋊C4—21no—
579C22⋊C4—21no—
580C22⋊C4—21no—
581C22⋊C4—21no—
582C22⋊C4—21no—
583C22⋊C4—21no—
584C22⋊C4—21no—
585C22⋊C4—21no—
586C22⋊C4—21no—
587C22⋊C4—21no—
588C22⋊C4—21no—
589C22⋊C4—21no—
590C22⋊C4—21no—
591C42—21no—
592C42—21no—
593C42—21no—
594C42—21no—
595C42—21no—
596C42—21no—
597C42—21no—
598C42C2×C3×D411yescharacteristic
599C42C2×C3×D411yescharacteristic
600C42C2×C3×D411yescharacteristic
601C42C24×C311yescharacteristic
602C22×C3—21no—
603C22×C3—21no—
604C22×C3—21no—
605C22×C3—41no—
606C22×C3—41no—
607C22×C3—41no—
608C22×C3—41no—
609C22×C3—41no—
610C22×C3—41no—
611C22×C3—41no—
612C22×C3—41no—
613C22×C3—41no—
614C22×C3—162no—
615C22×C3C2×#12011yescharacteristic
616C3×C4—21no—
617C3×C4—21no—
618C3×C4—21no—
619C3×C4—21no—
620C3×C4—21no—
621C3×C4—21no—
622C3×C4—41no—
623C3×C4—41no—
624C3×C4—41no—
625C3×C4—41no—
626C3×C4—41no—
627C3×C4—41no—
628C3×C4—41no—
629C3×C4—41no—
630C3×C4—41no—
631C3×C4—82no—
632C23—21no—
633C23—21no—
634C23—21no—
635C23—81no—
636C23—81no—
637C23—81no—
638C23C3×#12011yescharacteristic
639Q8—41no—
640Q8—41no—
641Q8—41no—
642Q8—42no—
643Q8—42no—
644Q8—82no—
645Q8—81no—
646Q8—81no—
647Q8—81no—
648D4—41no—
649D4—41no—
650D4—41no—
651D4—81no—
652D4—81no—
653D4—81no—
654D4—81no—
655D4—81no—
656D4—81no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—42no—
670C2×C4—81no—
671C2×C4—81no—
672C2×C4—81no—
673C2×C4—81no—
674C2×C4—81no—
675C2×C4—81no—
676C2×C4—82no—
677C2×C4C3×#12011yescharacteristic
678C2×C4C3×#12011yescharacteristic
679C2×C4C3×#12011yescharacteristic
680C2×C4C22×C3×D411yescharacteristic
681C2×C4C22×C3×D411yescharacteristic
682C2×C4C22×C3×D411yescharacteristic
683C8—42no—
684C8—42no—
685C8—42no—
686C2×C3—41no—
687C2×C3—81no—
688C2×C3—81no—
689C2×C3—81no—
690C2×C3#302111yescharacteristic
691C2×C3#302211yescharacteristic
692C2×C3#302211yescharacteristic
693C22—21no—
694C22—21no—
695C22—21no—
696C22—41no—
697C22—41no—
698C22—41no—
699C22—41no—
700C22—41no—
701C22—41no—
702C22—41no—
703C22—41no—
704C22—41no—
705C22—162no—
706C22C2×C3×#12011yescharacteristic
707C4—21no—
708C4—21no—
709C4—21no—
710C4—21no—
711C4—21no—
712C4—21no—
713C4—41no—
714C4—41no—
715C4—41no—
716C4—41no—
717C4—41no—
718C4—41no—
719C4—41no—
720C4—41no—
721C4—41no—
722C4—82no—
723C3#1909511yescharacteristic, direct product factor, Sylow
724C2—41no—
725C2—81no—
726C2—81no—
727C2—81no—
728C2C3×#302111yescharacteristic
729C2C3×#302211yescharacteristic
730C2C3×#302211yescharacteristic
subgroupG/H
center, socleC22×C3C2×#120
commutator, Frattini, cosocleC42C24×C3
prime radicalC3×#3568C2
LCSG ▷ C42 ▷ C22 ▷ C1
UCSC1 ◁ C22×C3 ◁ C2×C3×C42 ◁ G

Complements

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

NH ≅ G/Ntype
2. C3×#3239C2semidirect
3. C3×#3238C2semidirect
4. C3×#3218C2semidirect
5. C3×#1664C2semidirect
6. C3×#1664C2semidirect
7. C3×#1660C2semidirect
8. C3×#1659C2semidirect
9. C3×#1535C2semidirect
10. C3×#1535C2semidirect
11. C3×#1535C2semidirect
12. #19095C3direct (N × H)
29. C2×C3×C4⋊Q8C22semidirect
33. C3×#501C22semidirect
34. C3×#501C22semidirect
36. C3×#491C22semidirect
51. C3×#432C22semidirect
52. C3×#432C22semidirect
53. C3×#432C22semidirect
54. C3×#330C22semidirect
55. C3×#330C22semidirect
56. C3×#330C22semidirect
61. #3239C2×C3semidirect
62. #3238C2×C3semidirect
63. #3218C2×C3semidirect
64. #1664C2×C3semidirect
65. #1664C2×C3semidirect
66. #1660C2×C3semidirect
67. #1659C2×C3semidirect
68. #1535C2×C3semidirect
69. #1535C2×C3semidirect
70. #1535C2×C3semidirect
202. C2×C4⋊Q8C22×C3semidirect
206. #501C22×C3semidirect
207. #501C22×C3semidirect
209. #491C22×C3semidirect
224. #432C22×C3semidirect
225. #432C22×C3semidirect
226. #432C22×C3semidirect
227. #330C22×C3semidirect
228. #330C22×C3semidirect
229. #330C22×C3semidirect
723. C3#19095direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#35682
C3×#32392
C3×#32382
C3×#32182
C3×#16642
C3×#16602
C3×#16592
C3×#15352
#190953