Finite Group Databasebeta

← C3×#24233 #10642840

Subgroups — C3×#24233 #10642840

Order 768.

1336 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#3499C211yesmaximal, characteristic
2C3×#3037C211yesmaximal, characteristic, complemented
3C2×C3×#456C212yesmaximal, complemented
4C3×C4×#137C211yesmaximal, characteristic, complemented
5C3×#2546C211yesmaximal, characteristic, complemented
6C3×#2038C212yesmaximal, complemented
7C3×#2005C212yesmaximal, complemented
8C3×#1980C211yesmaximal, characteristic, complemented
9C3×#1966C211yesmaximal, characteristic, complemented
10C3×#1806C211yesmaximal, characteristic, complemented
11C3×#1793C212yesmaximal, complemented
12#24233C311yesmaximal, characteristic, direct product factor, Sylow
13C2×C3×2−1+4C2212yes—
14C2×C3×#137C2212yes—
15C2×C3×#137C2211yescharacteristic
16C3×D4×Q8—21no—
17C3×D4×Q8—21no—
18C3×#547—21no—
19C3×#547—21no—
20C3×#547—22no—
21C3×#547—22no—
22C3×#536—22no—
23C3×#536C2212yes—
24C3×#532—21no—
25C3×#532C2211yescharacteristic
26C2×C3×C4⋊Q8—21no—
27C2×C3×C4⋊Q8C2212yes—
28C2×C3×C4⋊Q8C2211yescharacteristic
29C3×C4×#41C2211yescharacteristic
30C2×C3×C4×Q8C2211yescharacteristic
31C3×#464—22no—
32C3×#462—21no—
33C3×#460—21no—
34C3×#456—28no—
35C3×#441—21no—
36C3×#440—21no—
37C3×C4×Q16—21no—
38C3×C4×SD16—21no—
39C3×#428C2211yescharacteristic
40C3×#423C2211yescharacteristic
41C2×C3×#104C2212yes—
42C2×C3×#104C2212yes—
43C2×C3×#104C2212yes—
44C3×#419C2211yescharacteristic
45C3×#417C2212yes—
46C3×#417C2211yescharacteristic
47C2×C3×#101C2212yes—
48C2×C3×#101C2212yes—
49C3×C4×M16C2211yescharacteristic
50C3×#398—22no—
51C3×#391C2212yes—
52C3×#389—22no—
53C3×C4×C4⋊C4C2211yescharacteristic
54C3×#339C2212yes—
55#3499C2×C311yescharacteristic
56#3037C2×C311yescharacteristic, complemented
57C2×#456C2×C312yescomplemented
58C4×#137C2×C311yescharacteristic, complemented
59#2546C2×C311yescharacteristic, complemented
60#2038C2×C312yescomplemented
61#2005C2×C312yescomplemented
62#1980C2×C311yescharacteristic, complemented
63#1966C2×C311yescharacteristic, complemented
64#1806C2×C311yescharacteristic, complemented
65#1793C2×C312yescomplemented
66C3×2−1+4—24no—
67C3×2−1+4—24no—
68C3×2−1+4—42no—
69C3×2−1+4—42no—
70C2×C3×#41—22no—
71C2×C3×#41—22no—
72C2×C3×#41—24no—
73C2×C3×#41C2312yes—
74C2×C3×#41C2311yescharacteristic
75C22×C3×Q8—22no—
76C22×C3×Q8—22no—
77C22×C3×Q8C2311yescharacteristic
78C22×C3×Q8C2312yes—
79C3×#137—22no—
80C3×#137—24no—
81C3×#137—42no—
82C3×#137D414yescomplemented
83C2×C3×Q16—21no—
84C2×C3×Q16—22no—
85C2×C3×SD16—21no—
86C2×C3×SD16—22no—
87C2×C3×M16C2312yes—
88C2×C3×M16C2311yescharacteristic
89C2×C3×M16C2311yescharacteristic
90C3×C4⋊Q8—22no—
91C3×C4⋊Q8—22no—
92C3×C4⋊Q8—22no—
93C3×C4⋊Q8—24no—
94C3×C4⋊Q8—21no—
95C3×C4⋊Q8—21no—
96C3×C4⋊Q8—21no—
97C3×C4⋊Q8—21no—
98C3×C4⋊Q8—42no—
99C3×C4⋊Q8D411yescharacteristic
100C3×#127D411yescharacteristic
101C3×#124—22no—
102C3×#124D412yes—
103C3×#123—24no—
104C3×#123—24no—
105C3×#123—24no—
106C3×C22⋊Q8—24no—
107C3×C22⋊Q8—24no—
108C3×C22⋊Q8—22no—
109C3×C22⋊Q8—22no—
110C3×#121—22no—
111C3×#121—22no—
112C3×#121—21no—
113C3×#121—21no—
114C3×C4×Q8—21no—
115C3×C4×Q8—21no—
116C3×C4×Q8—21no—
117C3×C4×Q8—21no—
118C3×C4×Q8D411yescharacteristic
119C3×C4×Q8D411yescharacteristic
120C3×C4×D4—22no—
121C3×C4×D4—22no—
122C3×C4×D4—21no—
123C3×C4×D4—21no—
124C3×C4×D4—21no—
125C3×C4×D4—21no—
126C3×C4×D4D411yescharacteristic
127C3×C4×D4D411yescharacteristic
128C3×#117—21no—
129C3×#117C2311yescharacteristic
130C2×C3×C4⋊C4—22no—
131C2×C3×C4⋊C4—22no—
132C2×C3×C4⋊C4—21no—
133C2×C3×C4⋊C4—24no—
134C2×C3×C4⋊C4—21no—
135C2×C3×C4⋊C4D412yes—
136C2×C3×C4⋊C4D412yes—
137C2×C3×C4⋊C4C2311yescharacteristic
138C2×C3×C42—21no—
139C2×C3×C42—21no—
140C2×C3×C42C2312yes—
141C2×C3×C42C2311yescharacteristic
142C3×#107—21no—
143C3×#106—21no—
144C3×C4⋊C8—21no—
145C3×C4⋊C8—21no—
146C3×#104—24no—
147C3×#104—24no—
148C3×#104—42no—
149C3×#103—21no—
150C3×#103—22no—
151C3×#103—21no—
152C3×#103—21no—
153C3×#102—21no—
154C3×#102—22no—
155C3×#101—24no—
156C3×#101—42no—
157C3×#97—21no—
158C3×C4×C8—21no—
159C3×#95—21no—
160C3×#95—24no—
161C2×2−1+4C22×C312yes—
162C2×#137C22×C312yes—
163C2×#137C22×C311yescharacteristic
164D4×Q8—21no—
165D4×Q8—21no—
166#547—21no—
167#547—21no—
168#547—22no—
169#547—22no—
170#536—22no—
171#536C22×C312yes—
172#532—21no—
173#532C22×C311yescharacteristic
174C2×C4⋊Q8—21no—
175C2×C4⋊Q8C22×C312yes—
176C2×C4⋊Q8C22×C311yescharacteristic
177C4×#41C22×C311yescharacteristic
178C2×C4×Q8C22×C311yescharacteristic
179#464—22no—
180#462—21no—
181#460—21no—
182#456—28no—
183#441—21no—
184#440—21no—
185C4×Q16—21no—
186C4×SD16—21no—
187#428C22×C311yescharacteristic
188#423C22×C311yescharacteristic
189C2×#104C22×C312yes—
190C2×#104C22×C312yes—
191C2×#104C22×C312yes—
192#419C22×C311yescharacteristic
193#417C22×C311yescharacteristic
194#417C22×C312yes—
195C2×#101C22×C312yes—
196C2×#101C22×C312yes—
197C4×M16C22×C311yescharacteristic
198#398—22no—
199#391C22×C312yes—
200#389—22no—
201C4×C4⋊C4C22×C311yescharacteristic
202#339C22×C312yes—
203C3×#41—21no—
204C3×#41—21no—
205C3×#41—22no—
206C3×#41—22no—
207C3×#41—22no—
208C3×#41—22no—
209C3×#41—44no—
210C3×#41—44no—
211C3×#41—48no—
212C3×#41—48no—
213C3×#41—44no—
214C3×#41—44no—
215C3×#41C2×D412yes—
216C3×#41#4112yes—
217C2×C3×Q8—24no—
218C2×C3×Q8—22no—
219C2×C3×Q8—22no—
220C2×C3×Q8—22no—
221C2×C3×Q8—22no—
222C2×C3×Q8—22no—
223C2×C3×Q8—21no—
224C2×C3×Q8—22no—
225C2×C3×Q8—21no—
226C2×C3×Q8—21no—
227C2×C3×Q8—21no—
228C2×C3×Q8—21no—
229C2×C3×Q8—44no—
230C2×C3×Q8—44no—
231C2×C3×Q8—44no—
232C2×C3×Q8—44no—
233C2×C3×Q8C2×D412yes—
234C2×C3×Q8C2×D412yes—
235C2×C3×Q8C2×D411yescharacteristic
236C2×C3×D4—21no—
237C2×C3×D4—24no—
238C2×C3×D4—22no—
239C2×C3×D4—21no—
240C2×C3×D4—21no—
241C2×C3×D4C2×D412yes—
242C2×C3×D4C2×D411yescharacteristic
243C22×C3×C4—21no—
244C22×C3×C4—24no—
245C22×C3×C4—24no—
246C22×C3×C4—22no—
247C22×C3×C4—21no—
248C22×C3×C4—21no—
249C22×C3×C4—21no—
250C22×C3×C4—22no—
251C22×C3×C4—21no—
252C22×C3×C4C2×D414yes—
253C22×C3×C4C2×D411yescharacteristic
254C22×C3×C4C2×D411yescharacteristic
255C22×C3×C4C2411yescharacteristic
256C3×Q16—24no—
257C3×Q16—44no—
258C3×SD16—24no—
259C3×SD16—44no—
260C3×M16—21no—
261C3×M16—22no—
262C3×M16—21no—
263C3×M16—22no—
264C3×M16—21no—
265C3×M16C2×D412yes—
266C2×C3×C8—21no—
267C2×C3×C8—21no—
268C2×C3×C8—22no—
269C3×C4⋊C4—24no—
270C3×C4⋊C4—24no—
271C3×C4⋊C4—24no—
272C3×C4⋊C4—21no—
273C3×C4⋊C4—21no—
274C3×C4⋊C4—22no—
275C3×C4⋊C4—22no—
276C3×C4⋊C4—22no—
277C3×C4⋊C4—22no—
278C3×C4⋊C4—21no—
279C3×C4⋊C4—21no—
280C3×C4⋊C4—21no—
281C3×C4⋊C4—21no—
282C3×C4⋊C4—48no—
283C3×C4⋊C4—41no—
284C3×C4⋊C4—41no—
285C3×C4⋊C4C2×D411yescharacteristic
286C3×C4⋊C4C2×D411yescharacteristic
287C3×C22⋊C4—24no—
288C3×C22⋊C4—24no—
289C3×C22⋊C4—21no—
290C3×C22⋊C4—21no—
291C3×C22⋊C4—21no—
292C3×C22⋊C4—22no—
293C3×C22⋊C4—22no—
294C3×C42—21no—
295C3×C42—21no—
296C3×C42—21no—
297C3×C42—22no—
298C3×C42—22no—
299C3×C42—41no—
300C3×C42—41no—
301C3×C42C2×D411yescharacteristic
302C3×C42C2×D411yescharacteristic
303C3×C42C2×D411yescharacteristic
304C3×C42C2×D411yescharacteristic
3052−1+4—24no—
3062−1+4—24no—
3072−1+4—42no—
3082−1+4—42no—
309C2×#41—22no—
310C2×#41—22no—
311C2×#41—24no—
312C2×#41C23×C312yes—
313C2×#41C23×C311yescharacteristic
314C22×Q8—22no—
315C22×Q8—22no—
316C22×Q8C23×C311yescharacteristic
317C22×Q8C23×C312yes—
318#137—22no—
319#137—24no—
320#137—42no—
321#137C3×D414yescomplemented
322C2×Q16—21no—
323C2×Q16—22no—
324C2×SD16—21no—
325C2×SD16—22no—
326C2×M16C23×C312yes—
327C2×M16C23×C311yescharacteristic
328C2×M16C23×C311yescharacteristic
329C4⋊Q8—22no—
330C4⋊Q8—22no—
331C4⋊Q8—22no—
332C4⋊Q8—24no—
333C4⋊Q8—21no—
334C4⋊Q8—21no—
335C4⋊Q8—21no—
336C4⋊Q8—21no—
337C4⋊Q8—42no—
338C4⋊Q8C3×D411yescharacteristic
339#127C3×D411yescharacteristic
340#124—22no—
341#124C3×D412yes—
342#123—24no—
343#123—24no—
344#123—24no—
345C22⋊Q8—24no—
346C22⋊Q8—24no—
347C22⋊Q8—22no—
348C22⋊Q8—22no—
349#121—22no—
350#121—22no—
351#121—21no—
352#121—21no—
353C4×Q8—21no—
354C4×Q8—21no—
355C4×Q8—21no—
356C4×Q8—21no—
357C4×Q8C3×D411yescharacteristic
358C4×Q8C3×D411yescharacteristic
359C4×D4—22no—
360C4×D4—22no—
361C4×D4—21no—
362C4×D4—21no—
363C4×D4—21no—
364C4×D4—21no—
365C4×D4C3×D411yescharacteristic
366C4×D4C3×D411yescharacteristic
367#117—21no—
368#117C23×C311yescharacteristic
369C2×C4⋊C4—22no—
370C2×C4⋊C4—22no—
371C2×C4⋊C4—21no—
372C2×C4⋊C4—21no—
373C2×C4⋊C4—24no—
374C2×C4⋊C4C3×D412yes—
375C2×C4⋊C4C3×D412yes—
376C2×C4⋊C4C23×C311yescharacteristic
377C2×C42—21no—
378C2×C42—21no—
379C2×C42C23×C312yes—
380C2×C42C23×C311yescharacteristic
381#107—21no—
382#106—21no—
383C4⋊C8—21no—
384C4⋊C8—21no—
385#104—24no—
386#104—24no—
387#104—42no—
388#103—21no—
389#103—22no—
390#103—21no—
391#103—21no—
392#102—21no—
393#102—22no—
394#101—24no—
395#101—42no—
396#97—21no—
397C4×C8—21no—
398#95—21no—
399#95—24no—
400C23×C3—21no—
401C23×C3—22no—
402C23×C3C22×D411yescharacteristic
403C3×Q8—21no—
404C3×Q8—22no—
405C3×Q8—22no—
406C3×Q8—22no—
407C3×Q8—22no—
408C3×Q8—48no—
409C3×Q8—42no—
410C3×Q8—41no—
411C3×Q8—42no—
412C3×Q8—42no—
413C3×Q8—41no—
414C3×Q8—42no—
415C3×Q8#12112yes—
416C3×D4—22no—
417C3×D4—22no—
418C3×D4—21no—
419C3×D4—22no—
420C3×D4—22no—
421C3×D4—42no—
422C3×D4—48no—
423C3×D4—42no—
424C3×D4—42no—
425C3×D4—42no—
426C3×D4#12112yes—
427C2×C3×C4—21no—
428C2×C3×C4—22no—
429C2×C3×C4—22no—
430C2×C3×C4—22no—
431C2×C3×C4—24no—
432C2×C3×C4—21no—
433C2×C3×C4—21no—
434C2×C3×C4—22no—
435C2×C3×C4—24no—
436C2×C3×C4—22no—
437C2×C3×C4—24no—
438C2×C3×C4—24no—
439C2×C3×C4—41no—
440C2×C3×C4—42no—
441C2×C3×C4—48no—
442C2×C3×C4—42no—
443C2×C3×C4—48no—
444C2×C3×C4—41no—
445C2×C3×C4—42no—
446C2×C3×C4—41no—
447C2×C3×C4—42no—
448C2×C3×C4—42no—
449C2×C3×C4—42no—
450C2×C3×C4—42no—
451C2×C3×C4—41no—
452C2×C3×C4#12011yescharacteristic
453C2×C3×C4#12011yescharacteristic
454C2×C3×C4#12011yescharacteristic
455C2×C3×C4#12011yescharacteristic
456C2×C3×C4C22×D411yescharacteristic
457C2×C3×C4C22×D411yescharacteristic
458C2×C3×C4C22×D411yescharacteristic
459C2×C3×C4C2×#4111yescharacteristic
460C2×C3×C4H(5,𝔽2)11yescharacteristic
461C2×C3×C4H(5,𝔽2)11yescharacteristic
462C3×C8—22no—
463C3×C8—41no—
464C3×C8—42no—
465#41—21no—
466#41—21no—
467#41—22no—
468#41—22no—
469#41—22no—
470#41—22no—
471#41—44no—
472#41—44no—
473#41—48no—
474#41—48no—
475#41—44no—
476#41—44no—
477#41C2×C3×D412yes—
478#41C3×#4112yes—
479C2×Q8—24no—
480C2×Q8—22no—
481C2×Q8—22no—
482C2×Q8—22no—
483C2×Q8—22no—
484C2×Q8—22no—
485C2×Q8—21no—
486C2×Q8—22no—
487C2×Q8—21no—
488C2×Q8—21no—
489C2×Q8—21no—
490C2×Q8—21no—
491C2×Q8—44no—
492C2×Q8—44no—
493C2×Q8—44no—
494C2×Q8—44no—
495C2×Q8C2×C3×D412yes—
496C2×Q8C2×C3×D412yes—
497C2×Q8C2×C3×D411yescharacteristic
498C2×D4—21no—
499C2×D4—24no—
500C2×D4—22no—
501C2×D4—21no—
502C2×D4—21no—
503C2×D4C2×C3×D412yes—
504C2×D4C2×C3×D411yescharacteristic
505C22×C4—21no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—22no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—22no—
513C22×C4—21no—
514C22×C4C2×C3×D414yes—
515C22×C4C2×C3×D411yescharacteristic
516C22×C4C2×C3×D411yescharacteristic
517C22×C4C24×C311yescharacteristic
518Q16—24no—
519Q16—44no—
520SD16—24no—
521SD16—44no—
522M16—21no—
523M16—22no—
524M16—21no—
525M16—22no—
526M16—21no—
527M16C2×C3×D412yes—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—22no—
531C4⋊C4—24no—
532C4⋊C4—24no—
533C4⋊C4—24no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—48no—
545C4⋊C4—41no—
546C4⋊C4—41no—
547C4⋊C4C2×C3×D411yescharacteristic
548C4⋊C4C2×C3×D411yescharacteristic
549C22⋊C4—24no—
550C22⋊C4—24no—
551C22⋊C4—21no—
552C22⋊C4—21no—
553C22⋊C4—21no—
554C22⋊C4—22no—
555C22⋊C4—22no—
556C42—21no—
557C42—21no—
558C42—21no—
559C42—22no—
560C42—22no—
561C42—41no—
562C42—41no—
563C42C2×C3×D411yescharacteristic
564C42C2×C3×D411yescharacteristic
565C42C2×C3×D411yescharacteristic
566C42C2×C3×D411yescharacteristic
567C22×C3—21no—
568C22×C3—21no—
569C22×C3—22no—
570C22×C3—41no—
571C22×C3—41no—
572C22×C3—42no—
573C22×C3—42no—
574C22×C3—42no—
575C22×C3C2×#12011yescharacteristic
576C22×C3D4211yescharacteristic
577C22×C3#54611yescharacteristic
578C3×C4—22no—
579C3×C4—21no—
580C3×C4—21no—
581C3×C4—21no—
582C3×C4—44no—
583C3×C4—44no—
584C3×C4—42no—
585C3×C4—42no—
586C3×C4—41no—
587C3×C4—41no—
588C3×C4—81no—
589C3×C4#45612yescomplemented
590C3×C4C2×#12111yescharacteristic
591C3×C4#53511yescharacteristic
592C3×C4D4211yescharacteristic
593C3×C4#54611yescharacteristic
594C23—21no—
595C23—22no—
596C23C22×C3×D411yescharacteristic
597Q8—21no—
598Q8—22no—
599Q8—22no—
600Q8—22no—
601Q8—22no—
602Q8—48no—
603Q8—42no—
604Q8—42no—
605Q8—41no—
606Q8—42no—
607Q8—42no—
608Q8—41no—
609Q8C3×#12112yes—
610D4—22no—
611D4—22no—
612D4—21no—
613D4—22no—
614D4—22no—
615D4—42no—
616D4—48no—
617D4—42no—
618D4—42no—
619D4—42no—
620D4C3×#12112yes—
621C2×C4—21no—
622C2×C4—22no—
623C2×C4—22no—
624C2×C4—22no—
625C2×C4—24no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—22no—
629C2×C4—24no—
630C2×C4—22no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—41no—
634C2×C4—48no—
635C2×C4—42no—
636C2×C4—48no—
637C2×C4—42no—
638C2×C4—41no—
639C2×C4—42no—
640C2×C4—41no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—41no—
646C2×C4C3×#12011yescharacteristic
647C2×C4C3×#12011yescharacteristic
648C2×C4C3×#12011yescharacteristic
649C2×C4C3×#12011yescharacteristic
650C2×C4C22×C3×D411yescharacteristic
651C2×C4C22×C3×D411yescharacteristic
652C2×C4C22×C3×D411yescharacteristic
653C2×C4C2×C3×#4111yescharacteristic
654C2×C4C3×H(5,𝔽2)11yescharacteristic
655C2×C4C3×H(5,𝔽2)11yescharacteristic
656C8—22no—
657C8—41no—
658C8—42no—
659C2×C3—21no—
660C2×C3—21no—
661C2×C3—42no—
662C2×C3—82no—
663C2×C3#240811yescharacteristic
664C2×C3C2×#45611yescharacteristic
665C2×C3#302011yescharacteristic
666C22—21no—
667C22—21no—
668C22—22no—
669C22—41no—
670C22—41no—
671C22—42no—
672C22—42no—
673C22—42no—
674C22C2×C3×#12011yescharacteristic
675C22C3×D4211yescharacteristic
676C22C3×#54611yescharacteristic
677C4—22no—
678C4—21no—
679C4—21no—
680C4—21no—
681C4—44no—
682C4—44no—
683C4—42no—
684C4—42no—
685C4—41no—
686C4—41no—
687C4—81no—
688C4C3×#45612yescomplemented
689C4C2×C3×#12111yescharacteristic
690C4C3×#53511yescharacteristic
691C4C3×D4211yescharacteristic
692C4C3×#54611yescharacteristic
693C3#2423311yescharacteristic, direct product factor, Sylow
694C2—21no—
695C2—21no—
696C2—42no—
697C2—82no—
698C2C3×#240811yescharacteristic
699C2C2×C3×#45611yescharacteristic
700C2C3×#302011yescharacteristic
subgroupG/H
center, socleC22×C3C2×#120
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC3×#3499C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C3 ◁ C2×C3×C42 ◁ G

Complements

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

NH ≅ G/Ntype
2. C3×#3037C2semidirect
3. C2×C3×#456C2semidirect
4. C3×C4×#137C2semidirect
5. C3×#2546C2semidirect
6. C3×#2038C2semidirect
7. C3×#2005C2semidirect
8. C3×#1980C2semidirect
9. C3×#1966C2semidirect
10. C3×#1806C2semidirect
11. C3×#1793C2semidirect
12. #24233C3direct (N × H)
56. #3037C2×C3semidirect
57. C2×#456C2×C3semidirect
58. C4×#137C2×C3semidirect
59. #2546C2×C3semidirect
60. #2038C2×C3semidirect
61. #2005C2×C3semidirect
62. #1980C2×C3semidirect
63. #1966C2×C3semidirect
64. #1806C2×C3semidirect
65. #1793C2×C3semidirect
82. C3×#137D4semidirect
321. #137C3×D4semidirect
589. C3×C4#456semidirect
688. C4C3×#456semidirect
693. C3#24233direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#34992
C3×#30372
C2×C3×#4562
C3×C4×#1372
C3×#25462
C3×#20382
C3×#20052
C3×#19802
C3×#19662
C3×#18062
C3×#17932
#242333