Finite Group Databasebeta

← C3×#80312 #11870415

Subgroups — C3×#80312 #11870415

Order 1152.

1054 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#5716C211yesmaximal, characteristic, complemented
2C3×C4×D3×D4C211yesmaximal, characteristic, complemented
3C32×#459C211yesmaximal, characteristic, complemented
4C3×#5156C212yesmaximal, complemented
5C3×Dic3×D8C212yesmaximal, complemented
6C3×#5072C211yesmaximal, characteristic, complemented
7C3×#5007C211yesmaximal, characteristic, complemented
8C3×#4846C211yesmaximal, characteristic, complemented
9C3×#4833C211yesmaximal, characteristic, complemented
10C3×#4774C212yesmaximal, complemented
11C3×#4756C212yesmaximal, complemented
12C3×#3100—31nomaximal
13#80312C311yesmaximal, characteristic, direct product factor
14C2×C3×#237—21no—
15C2×C3×D3×D4C2211yescharacteristic
16C22×C3×C4×D3—21no—
17C2×C32×D8C2212yes—
18C32×#127C2211yescharacteristic, complemented
19C32×C4×D4C2211yescharacteristic
20C3×#938—21no—
21C3×#938C2212yes—
22C3×#936—21no—
23C3×D4×Dic3—21no—
24C3×D4×Dic3C2211yescharacteristic
25C3×D4×Dic3C2212yescomplemented
26C2×C3×#213C2212yes—
27C3×C4×#67—21no—
28C3×#893C2211yescharacteristic
29C3×D3×C4⋊C4C2211yescharacteristic
30C3×#67⋊C4—21no—
31C3×D3×C22⋊C4—21no—
32C3×C4×D12C2211yescharacteristic
33C3×C42×D3C2211yescharacteristic
34C3×#869C2211yescharacteristic, complemented
35C32×C4⋊C8C2211yescharacteristic, complemented
36C32×#102C2212yescomplemented
37C3×#832C2212yes—
38C3×#832C2212yescomplemented
39C3×#821C2212yes—
40C3×(C2×D3)⋊C8C2212yes—
41C3×#818C2212yescomplemented
42C3×C8×Dic3C2212yescomplemented
43C3×#807C2212yescomplemented
44C3×C4⋊(C3⋊C8)C2211yescharacteristic, complemented
45C3×#532—31no—
46C2×C3×C4×D4—31no—
47#5716C2×C311yescharacteristic, complemented
48C4×D3×D4C2×C311yescharacteristic, complemented
49C3×#480—32no—
50C3×#474—31no—
51C3×#474—31no—
52C3×#459—21no—
53C3×#459—31no—
54C3×#459D311yescharacteristic, complemented
55C3×#459C2×C311yescharacteristic, complemented
56C3×#447—32no—
57C3×C4×D8—32no—
58C3×C4×D8—32no—
59C3×#431—31no—
60#5156C2×C312yescomplemented
61Dic3×D8C2×C312yescomplemented
62#5072C2×C311yescharacteristic, complemented
63#5007C2×C311yescharacteristic, complemented
64#4846C2×C311yescharacteristic, complemented
65#4833C2×C311yescharacteristic, complemented
66#4774C2×C312yescomplemented
67#4756C2×C312yescomplemented
68C23×C3×D3—21no—
69C2×C32×D4—21no—
70C2×C32×D4—21no—
71C2×C32×D4C2312yes—
72C2×C32×D4C2311yescharacteristic
73C22×C32×C4—21no—
74C2×C3×#67—22no—
75C2×C3×#67—21no—
76C22×C3×Dic3—21no—
77C22×C3×Dic3—22no—
78C3×#237—44no—
79C3×D3×D4—22no—
80C3×D3×D4—22no—
81C2×C3×D12C2311yescharacteristic
82C2×C3×C4×D3—21no—
83C2×C3×C4×D3—21no—
84C2×C3×C4×D3—21no—
85C2×C3×C4×D3—44no—
86C2×C3×C4×D3D411yescharacteristic
87C2×C3×C4×D3D411yescharacteristic
88C2×C3×C4×D3C2311yescharacteristic
89C2×C3×Dic6—21no—
90C32×D8—24no—
91C2×C32×C8C2312yes—
92C32×C4⋊C4C2311yescharacteristic
93C32×C22⋊C4—21no—
94C32×C42C2311yescharacteristic
95C3×#217—21no—
96C3×#217—22no—
97C3×#217—22no—
98C3×#213—24no—
99C3×(C2×D3)⋊C4—21no—
100C3×(C2×D3)⋊C4—21no—
101C3×C4⋊Dic3—21no—
102C3×C4⋊Dic3C2311yescharacteristic
103C3×C4⋊Dic3C2312yes—
104C3×Dic3⋊C4—21no—
105C3×C4×Dic3D411yescharacteristic
106C3×C4×Dic3D411yescharacteristic
107C3×C4×Dic3C2311yescharacteristic
108C2×C3×C3⋊C8C2312yes—
109#3100—31noSylow
110C2×C3×#41—61no—
111C22×C3×D4—31no—
112C23×C3×C4—61no—
113C2×#237—21no—
114C2×D3×D4C22×C311yescharacteristic
115C22×C4×D3—21no—
116C2×C3×D8—22no—
117C2×C3×D8—32no—
118C2×C3×D8C2×D312yes—
119C2×C3×D8C22×C312yes—
120C3×C4⋊Q8—31no—
121C3×#127—21no—
122C3×#127C2×D311yescharacteristic, complemented
123C3×#127C22×C311yescharacteristic, complemented
124C3×#124—61no—
125C3×#121—32no—
126C3×#121—61no—
127C3×C4×D4—21no—
128C3×C4×D4—31no—
129C3×C4×D4—32no—
130C3×C4×D4—31no—
131C3×C4×D4—31no—
132C3×C4×D4—61no—
133C3×C4×D4—61no—
134C3×C4×D4—61no—
135C3×C4×D4C2×D311yescharacteristic
136C3×C4×D4C22×C311yescharacteristic
137C2×C3×C4⋊C4—31no—
138C2×C3×C22⋊C4—61no—
139C2×C3×C42—31no—
140#938—21no—
141#938C22×C312yes—
142#936—21no—
143D4×Dic3—21no—
144D4×Dic3C22×C311yescharacteristic
145D4×Dic3C22×C312yescomplemented
146C2×#213C22×C312yes—
147C4×#67—21no—
148#893C22×C311yescharacteristic
149D3×C4⋊C4C22×C311yescharacteristic
150#67⋊C4—21no—
151D3×C22⋊C4—21no—
152C4×D12C22×C311yescharacteristic
153C42×D3C22×C311yescharacteristic
154#869C22×C311yescharacteristic, complemented
155C3×#107—32no—
156C3×#107—32no—
157C3×C4⋊C8—21no—
158C3×C4⋊C8—31no—
159C3×C4⋊C8C2×D311yescharacteristic, complemented
160C3×C4⋊C8C22×C311yescharacteristic, complemented
161C3×#102—22no—
162C3×#102—32no—
163C3×#102—32no—
164C3×#102—32no—
165C3×#102C2×D312yescomplemented
166C3×#102C22×C312yescomplemented
167C3×C22⋊C8—32no—
168C3×C4×C8—32no—
169#832C22×C312yes—
170#832C22×C312yescomplemented
171#821C22×C312yes—
172(C2×D3)⋊C8C22×C312yes—
173#818C22×C312yescomplemented
174C8×Dic3C22×C312yescomplemented
175#807C22×C312yescomplemented
176C4⋊(C3⋊C8)C22×C311yescharacteristic, complemented
177C23×C32—21no—
178C23×C32—22no—
179C22×C3×D3—24no—
180C22×C3×D3—21no—
181C22×C3×D3—42no—
182C22×C3×D3—42no—
183C22×C3×D3C2×D411yescharacteristic
184C32×D4—21no—
185C32×D4—22no—
186C32×D4—22no—
187C32×D4—42no—
188C32×D4—42no—
189C32×D4#4112yescomplemented
190C2×C32×C4—21no—
191C2×C32×C4—42no—
192C2×C32×C4C2×D411yescharacteristic
193C2×C32×C4C2×D411yescharacteristic
194C2×C32×C4C2411yescharacteristic
195C3×#67—24no—
196C3×#67—44no—
197C2×C3×Dic3—21no—
198C2×C3×Dic3—22no—
199C2×C3×Dic3—42no—
200C2×C3×Dic3—44no—
201C2×C3×Dic3C2×D411yescharacteristic
202C2×C3×Dic3C2×D411yescharacteristic
203C2×C3×Dic3C2×D411yescharacteristic
204C3×D12—21no—
205C3×D12#4112yescomplemented
206C3×C4×D3—21no—
207C3×C4×D3—21no—
208C3×C4×D3—41no—
209C3×C4×D3—42no—
210C3×C4×D3—42no—
211C3×C4×D3—42no—
212C3×C4×D3D814yescomplemented
213C3×Dic6—42no—
214C32×C8—22no—
215C3×C3⋊C8—22no—
216#532—31no—
217C2×C4×D4—31no—
218#480—32no—
219#474—31no—
220#474—31no—
221#459—31no—
222#459C3×D311yescharacteristic, complemented
223#447—32no—
224C4×D8—32no—
225C4×D8—32no—
226#431—31no—
227C24×C3—61no—
228C23×D3—21no—
229C3×#41—124no—
230C2×C3×Q8—61no—
231C2×C3×D4—21no—
232C2×C3×D4—21no—
233C2×C3×D4—21no—
234C2×C3×D4—21no—
235C2×C3×D4—21no—
236C2×C3×D4—22no—
237C2×C3×D4—31no—
238C2×C3×D4—41no—
239C2×C3×D4—41no—
240C2×C3×D4—61no—
241C2×C3×D4—62no—
242C2×C3×D4—62no—
243C2×C3×D4—62no—
244C2×C3×D4C22×D312yes—
245C2×C3×D4C22×D311yescharacteristic
246C2×C3×D4C23×C312yes—
247C2×C3×D4C23×C311yescharacteristic
248C22×C3×C4—21no—
249C22×C3×C4—21no—
250C22×C3×C4—31no—
251C22×C3×C4—31no—
252C22×C3×C4—31no—
253C22×C3×C4—41no—
254C22×C3×C4—61no—
255C22×C3×C4—61no—
256C22×C3×C4—61no—
257C22×C3×C4—62no—
258C22×C3×C4—61no—
259C22×C3×C4—124no—
260C2×#67—22no—
261C2×#67—21no—
262C22×Dic3—21no—
263C22×Dic3—22no—
264#237—44no—
265D3×D4—22no—
266D3×D4—22no—
267C2×D12C23×C311yescharacteristic
268C2×C4×D3—21no—
269C2×C4×D3—21no—
270C2×C4×D3—21no—
271C2×C4×D3—44no—
272C2×C4×D3C3×D411yescharacteristic
273C2×C4×D3C3×D411yescharacteristic
274C2×C4×D3C23×C311yescharacteristic
275C2×Dic6—21no—
276C3×D8—24no—
277C3×D8—24no—
278C3×D8—44no—
279C3×D8—64no—
280C2×C3×C8—22no—
281C2×C3×C8—32no—
282C2×C3×C8C22×D312yes—
283C2×C3×C8C23×C312yes—
284C3×C4⋊C4—21no—
285C3×C4⋊C4—31no—
286C3×C4⋊C4—32no—
287C3×C4⋊C4—61no—
288C3×C4⋊C4—61no—
289C3×C4⋊C4C22×D311yescharacteristic
290C3×C4⋊C4C23×C311yescharacteristic
291C3×C22⋊C4—21no—
292C3×C22⋊C4—21no—
293C3×C22⋊C4—41no—
294C3×C22⋊C4—61no—
295C3×C22⋊C4—61no—
296C3×C22⋊C4—62no—
297C3×C22⋊C4—62no—
298C3×C22⋊C4—61no—
299C3×C42—21no—
300C3×C42—31no—
301C3×C42—31no—
302C3×C42—31no—
303C3×C42C22×D311yescharacteristic
304C3×C42C23×C311yescharacteristic
305#217—21no—
306#217—22no—
307#217—22no—
308#213—24no—
309(C2×D3)⋊C4—21no—
310(C2×D3)⋊C4—21no—
311C4⋊Dic3—21no—
312C4⋊Dic3C23×C312yes—
313C4⋊Dic3C23×C311yescharacteristic
314Dic3⋊C4—21no—
315C4×Dic3C3×D411yescharacteristic
316C4×Dic3C3×D411yescharacteristic
317C4×Dic3C23×C311yescharacteristic
318C2×C3⋊C8C23×C312yes—
319C22×C32—22no—
320C22×C32—41no—
321C22×C32—41no—
322C22×C32—42no—
323C22×C32—42no—
324C22×C32—42no—
325C22×C32C22×D411yescharacteristic
326C2×C3×D3—21no—
327C2×C3×D3—21no—
328C2×C3×D3—22no—
329C2×C3×D3—48no—
330C2×C3×D3—41no—
331C2×C3×D3—41no—
332C2×C3×D3C2×D812yes—
333C32×C4—21no—
334C32×C4—41no—
335C32×C4C2×D812yes—
336C32×C4C2×#4111yescharacteristic
337C32×C4C2×#4111yescharacteristic
338C3×Dic3—21no—
339C3×Dic3—21no—
340C3×Dic3—42no—
341C3×Dic3—41no—
342C3×Dic3C2×D812yes—
343C2×#41—61no—
344C22×D4—31no—
345C23×C4—61no—
346C2×D8—32no—
347C2×D8C2×C3×D312yes—
348C4⋊Q8—31no—
349#127C2×C3×D311yescharacteristic, complemented
350#124—61no—
351#121—32no—
352#121—61no—
353C4×D4—31no—
354C4×D4—32no—
355C4×D4—31no—
356C4×D4—31no—
357C4×D4—61no—
358C4×D4—61no—
359C4×D4—61no—
360C4×D4C2×C3×D311yescharacteristic
361C2×C4⋊C4—31no—
362C2×C22⋊C4—61no—
363C2×C42—31no—
364#107—32no—
365#107—32no—
366C4⋊C8—31no—
367C4⋊C8C2×C3×D311yescharacteristic, complemented
368#102—32no—
369#102—32no—
370#102—32no—
371#102C2×C3×D312yescomplemented
372C22⋊C8—32no—
373C4×C8—32no—
374C23×C3—21no—
375C23×C3—21no—
376C23×C3—22no—
377C23×C3—22no—
378C23×C3—31no—
379C23×C3—41no—
380C23×C3—42no—
381C23×C3—64no—
382C23×C3—61no—
383C23×C3—122no—
384C23×C3—122no—
385C22×D3—24no—
386C22×D3—21no—
387C22×D3—42no—
388C22×D3—42no—
389C22×D3C2×C3×D411yescharacteristic
390C3×Q8—122no—
391C3×D4—22no—
392C3×D4—21no—
393C3×D4—22no—
394C3×D4—21no—
395C3×D4—22no—
396C3×D4—22no—
397C3×D4—22no—
398C3×D4—32no—
399C3×D4—41no—
400C3×D4—42no—
401C3×D4—42no—
402C3×D4—42no—
403C3×D4—42no—
404C3×D4—42no—
405C3×D4—42no—
406C3×D4—64no—
407C3×D4—61no—
408C3×D4—82no—
409C3×D4—82no—
410C3×D4—124no—
411C3×D4#23712yescomplemented
412C3×D4C3×#4112yescomplemented
413C2×C3×C4—21no—
414C2×C3×C4—21no—
415C2×C3×C4—21no—
416C2×C3×C4—21no—
417C2×C3×C4—21no—
418C2×C3×C4—31no—
419C2×C3×C4—34no—
420C2×C3×C4—31no—
421C2×C3×C4—31no—
422C2×C3×C4—41no—
423C2×C3×C4—42no—
424C2×C3×C4—42no—
425C2×C3×C4—61no—
426C2×C3×C4—61no—
427C2×C3×C4—61no—
428C2×C3×C4—62no—
429C2×C3×C4—82no—
430C2×C3×C4—121no—
431C2×C3×C4—122no—
432C2×C3×C4—122no—
433C2×C3×C4—124no—
434C2×C3×C4—122no—
435C2×C3×C4—122no—
436C2×C3×C4D3×D411yescharacteristic
437C2×C3×C4D3×D411yescharacteristic
438C2×C3×C4C2×C3×D411yescharacteristic
439C2×C3×C4C2×C3×D411yescharacteristic
440C2×C3×C4C23×D311yescharacteristic
441C2×C3×C4C24×C311yescharacteristic
442#67—24no—
443#67—44no—
444C2×Dic3—21no—
445C2×Dic3—22no—
446C2×Dic3—42no—
447C2×Dic3—44no—
448C2×Dic3C2×C3×D411yescharacteristic
449C2×Dic3C2×C3×D411yescharacteristic
450C2×Dic3C2×C3×D411yescharacteristic
451D12—21no—
452D12C3×#4112yescomplemented
453C4×D3—21no—
454C4×D3—21no—
455C4×D3—41no—
456C4×D3—42no—
457C4×D3—42no—
458C4×D3—42no—
459C4×D3C3×D814yescomplemented
460Dic6—42no—
461C3×C8—22no—
462C3×C8—22no—
463C3×C8—42no—
464C3×C8—62no—
465C3⋊C8—22no—
466C2×C32—42no—
467C2×C32—82no—
468C2×C32#52511yescharacteristic
469C2×C32C22×D811yescharacteristic
470C2×C32#57511yescharacteristic
471C3×D3—22no—
472C3×D3—42no—
473C24—61no—
474#41—124no—
475C2×Q8—61no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—31no—
479C2×D4—61no—
480C2×D4—62no—
481C2×D4—62no—
482C2×D4—62no—
483C2×D4C22×C3×D312yes—
484C2×D4C22×C3×D311yescharacteristic
485C22×C4—21no—
486C22×C4—31no—
487C22×C4—31no—
488C22×C4—31no—
489C22×C4—61no—
490C22×C4—61no—
491C22×C4—61no—
492C22×C4—62no—
493C22×C4—61no—
494C22×C4—124no—
495D8—24no—
496D8—64no—
497C2×C8—32no—
498C2×C8C22×C3×D312yes—
499C4⋊C4—31no—
500C4⋊C4—32no—
501C4⋊C4—61no—
502C4⋊C4—61no—
503C4⋊C4C22×C3×D311yescharacteristic
504C22⋊C4—21no—
505C22⋊C4—61no—
506C22⋊C4—61no—
507C22⋊C4—62no—
508C22⋊C4—62no—
509C22⋊C4—61no—
510C42—31no—
511C42—31no—
512C42—31no—
513C42C22×C3×D311yescharacteristic
514C22×C3—22no—
515C22×C3—22no—
516C22×C3—21no—
517C22×C3—32no—
518C22×C3—42no—
519C22×C3—41no—
520C22×C3—41no—
521C22×C3—41no—
522C22×C3—41no—
523C22×C3—42no—
524C22×C3—42no—
525C22×C3—42no—
526C22×C3—42no—
527C22×C3—42no—
528C22×C3—42no—
529C22×C3—61no—
530C22×C3—61no—
531C22×C3—62no—
532C22×C3—81no—
533C22×C3—81no—
534C22×C3—82no—
535C22×C3—82no—
536C22×C3—82no—
537C22×C3—128no—
538C22×C3—121no—
539C22×C3—121no—
540C22×C3C2×D3×D411yescharacteristic
541C22×C3C22×C3×D411yescharacteristic
542C2×D3—21no—
543C2×D3—21no—
544C2×D3—22no—
545C2×D3—48no—
546C2×D3—41no—
547C2×D3—41no—
548C2×D3C2×C3×D812yes—
549C3×C4—21no—
550C3×C4—21no—
551C3×C4—22no—
552C3×C4—21no—
553C3×C4—21no—
554C3×C4—32no—
555C3×C4—41no—
556C3×C4—41no—
557C3×C4—41no—
558C3×C4—61no—
559C3×C4—61no—
560C3×C4—81no—
561C3×C4—121no—
562C3×C4—122no—
563C3×C4D3×D812yes—
564C3×C4C2×C3×D812yes—
565C3×C4C2×#23711yescharacteristic
566C3×C4D3×#4111yescharacteristic
567C3×C4C2×C3×#4111yescharacteristic
568C3×C4C2×C3×#4111yescharacteristic
569Dic3—21no—
570Dic3—21no—
571Dic3—42no—
572Dic3—41no—
573Dic3C2×C3×D812yes—
574C32#310011yescharacteristic, complemented, Sylow
575C23—21no—
576C23—22no—
577C23—31no—
578C23—64no—
579C23—61no—
580C23—122no—
581C23—122no—
582Q8—122no—
583D4—22no—
584D4—21no—
585D4—22no—
586D4—32no—
587D4—42no—
588D4—42no—
589D4—64no—
590D4—61no—
591D4—124no—
592D4C3×#23712yescomplemented
593C2×C4—21no—
594C2×C4—31no—
595C2×C4—34no—
596C2×C4—31no—
597C2×C4—31no—
598C2×C4—42no—
599C2×C4—61no—
600C2×C4—61no—
601C2×C4—61no—
602C2×C4—62no—
603C2×C4—121no—
604C2×C4—122no—
605C2×C4—122no—
606C2×C4—124no—
607C2×C4—122no—
608C2×C4—122no—
609C2×C4C3×D3×D411yescharacteristic
610C2×C4C3×D3×D411yescharacteristic
611C2×C4C23×C3×D311yescharacteristic
612C8—22no—
613C8—62no—
614C2×C3—21no—
615C2×C3—21no—
616C2×C3—21no—
617C2×C3—42no—
618C2×C3—42no—
619C2×C3—62no—
620C2×C3—82no—
621C2×C3—82no—
622C2×C3—82no—
623C2×C3—122no—
624C2×C3—162no—
625C2×C3#560611yescharacteristic
626C2×C3C2×D3×D811yescharacteristic
627C2×C3#577311yescharacteristic
628C2×C3C3×#52511yescharacteristic
629C2×C3C22×C3×D811yescharacteristic
630C2×C3C3×#57511yescharacteristic
631D3—22no—
632D3—42no—
633C22—22no—
634C22—32no—
635C22—41no—
636C22—41no—
637C22—42no—
638C22—42no—
639C22—42no—
640C22—61no—
641C22—61no—
642C22—62no—
643C22—128no—
644C22—121no—
645C22—121no—
646C22C2×C3×D3×D411yescharacteristic
647C4—21no—
648C4—32no—
649C4—41no—
650C4—61no—
651C4—61no—
652C4—121no—
653C4—122no—
654C4C3×D3×D812yes—
655C4C2×C3×#23711yescharacteristic
656C4C3×D3×#4111yescharacteristic
657C3—21no—
658C3#8031211yescharacteristic, direct product factor
659C3C3×#310011yescharacteristic, complemented
660C2—42no—
661C2—62no—
662C2—82no—
663C2—122no—
664C2C3×#560611yescharacteristic
665C2C2×C3×D3×D811yescharacteristic
666C2C3×#577311yescharacteristic
subgroupG/H
centerC22×C3C2×D3×D4
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC32×#459C2
socleC22×C32C22×D4
hypercenterC3×#459D3
hypocenterC3C3×#3100
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22×C3 ◁ C3×C42 ◁ C3×#459

Complements

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

NH ≅ G/Ntype
1. C3×#5716C2semidirect
2. C3×C4×D3×D4C2semidirect
3. C32×#459C2semidirect
4. C3×#5156C2semidirect
5. C3×Dic3×D8C2semidirect
6. C3×#5072C2semidirect
7. C3×#5007C2semidirect
8. C3×#4846C2semidirect
9. C3×#4833C2semidirect
10. C3×#4774C2semidirect
11. C3×#4756C2semidirect
13. #80312C3direct (N × H)
18. C32×#127C22semidirect
25. C3×D4×Dic3C22semidirect
34. C3×#869C22semidirect
35. C32×C4⋊C8C22semidirect
36. C32×#102C22semidirect
38. C3×#832C22semidirect
41. C3×#818C22semidirect
42. C3×C8×Dic3C22semidirect
43. C3×#807C22semidirect
44. C3×C4⋊(C3⋊C8)C22semidirect
47. #5716C2×C3semidirect
48. C4×D3×D4C2×C3semidirect
54. C3×#459D3semidirect
55. C3×#459C2×C3semidirect
60. #5156C2×C3semidirect
61. Dic3×D8C2×C3semidirect
62. #5072C2×C3semidirect
63. #5007C2×C3semidirect
64. #4846C2×C3semidirect
65. #4833C2×C3semidirect
66. #4774C2×C3semidirect
67. #4756C2×C3semidirect
122. C3×#127C2×D3semidirect
123. C3×#127C22×C3semidirect
145. D4×Dic3C22×C3semidirect
154. #869C22×C3semidirect
159. C3×C4⋊C8C2×D3semidirect
160. C3×C4⋊C8C22×C3semidirect
165. C3×#102C2×D3semidirect
166. C3×#102C22×C3semidirect
170. #832C22×C3semidirect
173. #818C22×C3semidirect
174. C8×Dic3C22×C3semidirect
175. #807C22×C3semidirect
176. C4⋊(C3⋊C8)C22×C3semidirect
189. C32×D4#41semidirect
205. C3×D12#41semidirect
212. C3×C4×D3D8semidirect
222. #459C3×D3semidirect
349. #127C2×C3×D3semidirect
367. C4⋊C8C2×C3×D3semidirect
371. #102C2×C3×D3semidirect
411. C3×D4#237semidirect
412. C3×D4C3×#41semidirect
452. D12C3×#41semidirect
459. C4×D3C3×D8semidirect
574. C32#3100semidirect
592. D4C3×#237semidirect
658. C3#80312direct (N × H)
659. C3C3×#3100semidirect

Maximal subgroups

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

subgroupindex
C3×#57162
C3×C4×D3×D42
C32×#4592
C3×#51562
C3×Dic3×D82
C3×#50722
C3×#50072
C3×#48462
C3×#48332
C3×#47742
C3×#47562
C3×#31003
#803123