Finite Group Databasebeta

← C3×#82922 #11866820

Subgroups — C3×#82922 #11866820

Order 1152.

1205 conjugacy classes of subgroups.

The subgroup lattice has 669 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C32×#525C211yesmaximal, characteristic, complemented
2C2×C3×#950C211yesmaximal, characteristic, complemented
3C3×#5791C211yesmaximal, characteristic, complemented
4C23×C3×C3⋊C8C211yesmaximal, characteristic, complemented
5C3×#5233C211yesmaximal, characteristic, complemented
6C3×#5051C212yesmaximal, complemented
7C3×#5048C212yesmaximal, complemented
8C3×#5041C212yesmaximal, complemented
9C3×#5038C212yesmaximal, complemented
10C3×#5002C211yesmaximal, characteristic, complemented
11C3×#4998C211yesmaximal, characteristic, complemented
12C3×#3050—31nomaximal
13#82922C311yesmaximal, characteristic, direct product factor
14C2×C32×#41C2211yescharacteristic
15C23×C32×C4C2211yescharacteristic
16C2×C3×#235C2211yescharacteristic
17C32×#123—21no—
18C32×C22⋊Q8C2212yes—
19C32×#121C2212yes—
20C32×#120—21no—
21C32×C4×D4—22no—
22C32×#117C2211yescharacteristic
23C3×#953—21no—
24C3×#950—24no—
25C2×C3×#216C2211yescharacteristic, complemented
26C2×C3×#215C2211yescharacteristic, complemented
27C2×C3×#214C2211yescharacteristic, complemented
28C2×C3×#213C2211yescharacteristic, complemented
29C3×#930C2212yes—
30C3×#929—21no—
31C3×C4×#67—22no—
32C3×#926C2211yescharacteristic
33C3×#924C2212yes—
34C22×C3×C3⋊C8—24no—
35C22×C3×C3⋊C8C2211yescharacteristic
36C22×C3×C3⋊C8C2212yes—
37C22×C3×C3⋊C8C2212yes—
38C22×C3×C3⋊C8C2211yescharacteristic
39C3×#835C2212yescomplemented
40C3×#832C2212yescomplemented
41C3×#810C2212yescomplemented
42C3×#809C2212yescomplemented
43C3×#808C2212yescomplemented
44C3×#807C2212yescomplemented
45C2×C3×#135—31no—
46C23×C3×C8—31no—
47C3×#525—21no—
48C3×#525—31no—
49C3×#525D311yescharacteristic, complemented
50C3×#525C2×C311yescharacteristic, complemented
51C2×#950C2×C311yescharacteristic, complemented
52#5791C2×C311yescharacteristic, complemented
53C23×C3⋊C8C2×C311yescharacteristic, complemented
54C3×#467—32no—
55C3×#466—32no—
56C3×#465—32no—
57C3×#465—32no—
58C3×#427—31no—
59C3×#416—31no—
60C3×#416—31no—
61#5233C2×C311yescharacteristic, complemented
62#5051C2×C312yescomplemented
63#5048C2×C312yescomplemented
64#5041C2×C312yescomplemented
65#5038C2×C312yescomplemented
66#5002C2×C311yescharacteristic, complemented
67#4998C2×C311yescharacteristic, complemented
68C24×C32D411yescharacteristic
69C32×#41—22no—
70C32×#41—22no—
71C2×C32×Q8C2311yescharacteristic
72C2×C32×D4—21no—
73C2×C32×D4—22no—
74C2×C32×D4C2311yescharacteristic
75C22×C32×C4—22no—
76C22×C32×C4—22no—
77C22×C32×C4—21no—
78C22×C32×C4D412yes—
79C22×C32×C4D411yescharacteristic
80C22×C32×C4C2312yes—
81C22×C32×C4C2311yescharacteristic
82C2×C3×#67—22no—
83C2×C3×#67—21no—
84C3×#235—22no—
85C3×#235—22no—
86C2×C3×D12C2311yescharacteristic
87C2×C3×C4×D3—21no—
88C2×C3×Dic6C2311yescharacteristic
89C32×C4⋊C4—22no—
90C32×C4⋊C4C2312yes—
91C32×C22⋊C4—21no—
92C32×C22⋊C4—22no—
93C32×C22⋊C4—22no—
94C32×C42—21no—
95C3×#217—22no—
96C3×#217—21no—
97C3×#216—22no—
98C3×#215—22no—
99C3×#214—22no—
100C3×#213—22no—
101C3×(C2×D3)⋊C4—22no—
102C3×C4⋊Dic3C2312yes—
103C3×Dic3⋊C4—22no—
104C3×C4×Dic3—21no—
105C2×C3×C3⋊C8—22no—
106C2×C3×C3⋊C8—24no—
107C2×C3×C3⋊C8—24no—
108C2×C3×C3⋊C8D414yescomplemented
109C2×C3×C3⋊C8C2312yes—
110C2×C3×C3⋊C8C2311yescharacteristic
111C2×C3×C3⋊C8C2311yescharacteristic
112#3050—31noSylow
113C2×C3×#41—21no—
114C2×C3×#41—31no—
115C2×C3×#41C2×D311yescharacteristic
116C2×C3×#41C22×C311yescharacteristic
117C23×C3×C4—21no—
118C23×C3×C4C2×D311yescharacteristic
119C23×C3×C4C22×C311yescharacteristic
120C2×#235C22×C311yescharacteristic
121C3×#135—64no—
122C2×C3×Q16—31no—
123C2×C3×SD16—31no—
124C2×C3×SD16—31no—
125C2×C3×D8—31no—
126C22×C3×C8—31no—
127C22×C3×C8—31no—
128C22×C3×C8—32no—
129C22×C3×C8—32no—
130C22×C3×C8—64no—
131C3×#123—22no—
132C3×#123—21no—
133C3×#123—21no—
134C3×#123—61no—
135C3×C22⋊Q8—22no—
136C3×C22⋊Q8—32no—
137C3×C22⋊Q8C2×D312yes—
138C3×C22⋊Q8C22×C312yes—
139C3×#121—22no—
140C3×#121—32no—
141C3×#121C2×D312yes—
142C3×#121C22×C312yes—
143C3×#120—22no—
144C3×#120—21no—
145C3×#120—21no—
146C3×#120—61no—
147C3×C4×D4—24no—
148C3×C4×D4—22no—
149C3×C4×D4—22no—
150C3×C4×D4—62no—
151C3×#117—21no—
152C3×#117—31no—
153C3×#117C2×D311yescharacteristic
154C3×#117C22×C311yescharacteristic
155#953—21no—
156#950—24no—
157C2×#216C22×C311yescharacteristic, complemented
158C2×#215C22×C311yescharacteristic, complemented
159C2×#214C22×C311yescharacteristic, complemented
160C2×#213C22×C311yescharacteristic, complemented
161#930C22×C312yes—
162#929—21no—
163C4×#67—22no—
164#926C22×C311yescharacteristic
165#924C22×C312yes—
166C22×C3⋊C8—24no—
167C22×C3⋊C8C22×C311yescharacteristic
168C22×C3⋊C8C22×C312yes—
169C22×C3⋊C8C22×C312yes—
170C22×C3⋊C8C22×C311yescharacteristic
171C3×#107—32no—
172C3×#106—32no—
173C3×#103—32no—
174C3×#103—32no—
175C3×#102—32no—
176C3×#102—32no—
177#835C22×C312yescomplemented
178#832C22×C312yescomplemented
179#810C22×C312yescomplemented
180#809C22×C312yescomplemented
181#808C22×C312yescomplemented
182#807C22×C312yescomplemented
183C23×C32—21no—
184C23×C32—22no—
185C23×C32—24no—
186C23×C32C2×D411yescharacteristic
187C23×C32C2×D412yes—
188C22×C3×D3—21no—
189C32×Q8—21no—
190C32×Q8—21no—
191C32×D4—21no—
192C32×D4—21no—
193C32×D4—42no—
194C32×D4—44no—
195C2×C32×C4—22no—
196C2×C32×C4—21no—
197C2×C32×C4—22no—
198C2×C32×C4—24no—
199C2×C32×C4—22no—
200C2×C32×C4—22no—
201C2×C32×C4—42no—
202C2×C32×C4C2×D412yes—
203C2×C32×C4C2×D412yes—
204C2×C32×C4C2×D411yescharacteristic
205C2×C32×C4#4112yes—
206C2×C32×C4C2411yescharacteristic
207C3×#67—42no—
208C3×#67—44no—
209C2×C3×Dic3—22no—
210C2×C3×Dic3—21no—
211C3×D12—21no—
212C3×D12—21no—
213C3×C4×D3—42no—
214C3×Dic6—21no—
215C3×Dic6—21no—
216C3×C3⋊C8—22no—
217C3×C3⋊C8C2×D412yes—
218C3×C3⋊C8C2×D412yes—
219C2×#135—31no—
220C23×C8—31no—
221#525—31no—
222#525C3×D311yescharacteristic, complemented
223#467—32no—
224#466—32no—
225#465—32no—
226#465—32no—
227#427—31no—
228#416—31no—
229#416—31no—
230C24×C3—21no—
231C24×C3#6711yescharacteristic
232C24×C3C3×D411yescharacteristic
233C3×#41—22no—
234C3×#41—22no—
235C3×#41—22no—
236C3×#41—22no—
237C3×#41—42no—
238C3×#41—42no—
239C3×#41—62no—
240C3×#41—62no—
241C2×C3×Q8—21no—
242C2×C3×Q8—31no—
243C2×C3×Q8C22×D311yescharacteristic
244C2×C3×Q8C23×C311yescharacteristic
245C2×C3×D4—24no—
246C2×C3×D4—22no—
247C2×C3×D4—22no—
248C2×C3×D4—21no—
249C2×C3×D4—22no—
250C2×C3×D4—21no—
251C2×C3×D4—21no—
252C2×C3×D4—31no—
253C2×C3×D4—62no—
254C2×C3×D4—61no—
255C2×C3×D4C22×D311yescharacteristic
256C2×C3×D4C23×C311yescharacteristic
257C22×C3×C4—22no—
258C22×C3×C4—22no—
259C22×C3×C4—22no—
260C22×C3×C4—22no—
261C22×C3×C4—22no—
262C22×C3×C4—21no—
263C22×C3×C4—21no—
264C22×C3×C4—22no—
265C22×C3×C4—21no—
266C22×C3×C4—21no—
267C22×C3×C4—22no—
268C22×C3×C4—42no—
269C22×C3×C4—42no—
270C22×C3×C4—61no—
271C22×C3×C4#6711yescharacteristic
272C22×C3×C4#6712yes—
273C22×C3×C4C3×D412yes—
274C22×C3×C4C3×D411yescharacteristic
275C22×C3×C4C22×D312yes—
276C22×C3×C4C22×D311yescharacteristic
277C22×C3×C4C23×C312yes—
278C22×C3×C4C23×C311yescharacteristic
279C2×#67—22no—
280C2×#67—21no—
281#235—22no—
282#235—22no—
283C2×D12C23×C311yescharacteristic
284C2×C4×D3—21no—
285C2×Dic6C23×C311yescharacteristic
286C3×Q16—62no—
287C3×SD16—62no—
288C3×SD16—62no—
289C3×D8—62no—
290C2×C3×C8—34no—
291C2×C3×C8—31no—
292C2×C3×C8—31no—
293C2×C3×C8—32no—
294C2×C3×C8—64no—
295C2×C3×C8—64no—
296C2×C3×C8—62no—
297C3×C4⋊C4—24no—
298C3×C4⋊C4—22no—
299C3×C4⋊C4—22no—
300C3×C4⋊C4—22no—
301C3×C4⋊C4—32no—
302C3×C4⋊C4—62no—
303C3×C4⋊C4C22×D312yes—
304C3×C4⋊C4C23×C312yes—
305C3×C22⋊C4—22no—
306C3×C22⋊C4—24no—
307C3×C22⋊C4—24no—
308C3×C22⋊C4—21no—
309C3×C22⋊C4—22no—
310C3×C22⋊C4—21no—
311C3×C22⋊C4—22no—
312C3×C22⋊C4—22no—
313C3×C22⋊C4—22no—
314C3×C22⋊C4—61no—
315C3×C22⋊C4—62no—
316C3×C22⋊C4—62no—
317C3×C42—22no—
318C3×C42—21no—
319C3×C42—21no—
320C3×C42—61no—
321#217—22no—
322#217—21no—
323#216—22no—
324#215—22no—
325#214—22no—
326#213—22no—
327(C2×D3)⋊C4—22no—
328C4⋊Dic3C23×C312yes—
329Dic3⋊C4—22no—
330C4×Dic3—21no—
331C2×C3⋊C8—22no—
332C2×C3⋊C8—24no—
333C2×C3⋊C8—24no—
334C2×C3⋊C8C3×D414yescomplemented
335C2×C3⋊C8C23×C312yes—
336C2×C3⋊C8C23×C311yescharacteristic
337C2×C3⋊C8C23×C311yescharacteristic
338C22×C32—28no—
339C22×C32—22no—
340C22×C32—22no—
341C22×C32—22no—
342C22×C32—41no—
343C22×C32—42no—
344C22×C32#12112yes—
345C22×C32#13514yescomplemented
346C22×C32C22×D411yescharacteristic
347C2×C3×D3—41no—
348C2×C3×D3—42no—
349C32×C4—22no—
350C32×C4—41no—
351C32×C4—42no—
352C32×C4#12112yes—
353C32×C4C22×D411yescharacteristic
354C32×C4C2×#4111yescharacteristic
355C3×Dic3—41no—
356C3×Dic3—42no—
357C2×#41—31no—
358C2×#41C2×C3×D311yescharacteristic
359C23×C4C2×C3×D311yescharacteristic
360#135—64no—
361C2×Q16—31no—
362C2×SD16—31no—
363C2×SD16—31no—
364C2×D8—31no—
365C22×C8—31no—
366C22×C8—31no—
367C22×C8—32no—
368C22×C8—32no—
369C22×C8—64no—
370#123—21no—
371#123—61no—
372C22⋊Q8—32no—
373C22⋊Q8C2×C3×D312yes—
374#121—32no—
375#121C2×C3×D312yes—
376#120—21no—
377#120—61no—
378C4×D4—22no—
379C4×D4—62no—
380#117—31no—
381#117C2×C3×D311yescharacteristic
382#107—32no—
383#106—32no—
384#103—32no—
385#103—32no—
386#102—32no—
387#102—32no—
388C23×C3—22no—
389C23×C3—24no—
390C23×C3—22no—
391C23×C3—24no—
392C23×C3—22no—
393C23×C3—21no—
394C23×C3—21no—
395C23×C3—21no—
396C23×C3—22no—
397C23×C3—42no—
398C23×C3—44no—
399C23×C3—61no—
400C23×C3C2×#6711yescharacteristic
401C23×C3C2×#6712yes—
402C23×C3C2×C3×D411yescharacteristic
403C23×C3C2×C3×D412yes—
404C22×D3—21no—
405C3×Q8—21no—
406C3×Q8—21no—
407C3×Q8—21no—
408C3×Q8—21no—
409C3×Q8—41no—
410C3×Q8—41no—
411C3×Q8—61no—
412C3×Q8—61no—
413C3×D4—21no—
414C3×D4—21no—
415C3×D4—21no—
416C3×D4—21no—
417C3×D4—41no—
418C3×D4—41no—
419C3×D4—48no—
420C3×D4—44no—
421C3×D4—42no—
422C3×D4—44no—
423C3×D4—42no—
424C3×D4—44no—
425C3×D4—61no—
426C3×D4—61no—
427C3×D4—122no—
428C3×D4—124no—
429C2×C3×C4—22no—
430C2×C3×C4—22no—
431C2×C3×C4—24no—
432C2×C3×C4—24no—
433C2×C3×C4—22no—
434C2×C3×C4—22no—
435C2×C3×C4—22no—
436C2×C3×C4—22no—
437C2×C3×C4—24no—
438C2×C3×C4—22no—
439C2×C3×C4—22no—
440C2×C3×C4—21no—
441C2×C3×C4—22no—
442C2×C3×C4—21no—
443C2×C3×C4—21no—
444C2×C3×C4—22no—
445C2×C3×C4—22no—
446C2×C3×C4—21no—
447C2×C3×C4—22no—
448C2×C3×C4—44no—
449C2×C3×C4—42no—
450C2×C3×C4—42no—
451C2×C3×C4—42no—
452C2×C3×C4—44no—
453C2×C3×C4—42no—
454C2×C3×C4—42no—
455C2×C3×C4—62no—
456C2×C3×C4—61no—
457C2×C3×C4—122no—
458C2×C3×C4D3×D412yes—
459C2×C3×C4#23712yes—
460C2×C3×C4C2×#6712yes—
461C2×C3×C4C2×#6711yescharacteristic
462C2×C3×C4C2×C3×D412yes—
463C2×C3×C4C2×C3×D412yes—
464C2×C3×C4C2×C3×D411yescharacteristic
465C2×C3×C4C3×#4112yes—
466C2×C3×C4C23×D311yescharacteristic
467C2×C3×C4C24×C311yescharacteristic
468#67—42no—
469#67—44no—
470C2×Dic3—22no—
471C2×Dic3—21no—
472D12—21no—
473D12—21no—
474C4×D3—42no—
475Dic6—21no—
476Dic6—21no—
477C3×C8—32no—
478C3×C8—32no—
479C3×C8—62no—
480C3⋊C8—22no—
481C3⋊C8C2×C3×D412yes—
482C3⋊C8C2×C3×D412yes—
483C2×C32—22no—
484C2×C32—24no—
485C2×C32—81no—
486C2×C32C2×#12111yescharacteristic
487C2×C32C2×#13512yes—
488C3×D3—81no—
489C24C3×#6711yescharacteristic
490#41—22no—
491#41—22no—
492#41—62no—
493#41—62no—
494C2×Q8—31no—
495C2×Q8C22×C3×D311yescharacteristic
496C2×D4—22no—
497C2×D4—21no—
498C2×D4—31no—
499C2×D4—62no—
500C2×D4—61no—
501C2×D4C22×C3×D311yescharacteristic
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—21no—
505C22×C4—61no—
506C22×C4C3×#6712yes—
507C22×C4C3×#6711yescharacteristic
508C22×C4C22×C3×D312yes—
509C22×C4C22×C3×D311yescharacteristic
510Q16—62no—
511SD16—62no—
512SD16—62no—
513D8—62no—
514C2×C8—31no—
515C2×C8—31no—
516C2×C8—34no—
517C2×C8—32no—
518C2×C8—64no—
519C2×C8—64no—
520C2×C8—62no—
521C4⋊C4—22no—
522C4⋊C4—32no—
523C4⋊C4—62no—
524C4⋊C4C22×C3×D312yes—
525C22⋊C4—21no—
526C22⋊C4—22no—
527C22⋊C4—22no—
528C22⋊C4—61no—
529C22⋊C4—62no—
530C22⋊C4—62no—
531C42—21no—
532C42—61no—
533C22×C3—28no—
534C22×C3—28no—
535C22×C3—22no—
536C22×C3—22no—
537C22×C3—22no—
538C22×C3—22no—
539C22×C3—22no—
540C22×C3—22no—
541C22×C3—22no—
542C22×C3—24no—
543C22×C3—21no—
544C22×C3—42no—
545C22×C3—42no—
546C22×C3—42no—
547C22×C3—48no—
548C22×C3—42no—
549C22×C3—44no—
550C22×C3—42no—
551C22×C3—41no—
552C22×C3—42no—
553C22×C3—41no—
554C22×C3—121no—
555C22×C3—122no—
556C22×C3#93912yes—
557C22×C3#95014yescomplemented
558C22×C3C3×#12112yes—
559C22×C3C3×#13514yescomplemented
560C22×C3C22×#6711yescharacteristic
561C22×C3C22×C3×D411yescharacteristic
562C2×D3—42no—
563C2×D3—41no—
564C3×C4—22no—
565C3×C4—22no—
566C3×C4—22no—
567C3×C4—21no—
568C3×C4—21no—
569C3×C4—42no—
570C3×C4—42no—
571C3×C4—44no—
572C3×C4—42no—
573C3×C4—41no—
574C3×C4—42no—
575C3×C4—41no—
576C3×C4—121no—
577C3×C4—122no—
578C3×C4#93912yes—
579C3×C4C3×#12112yes—
580C3×C4C2×D3×D411yescharacteristic
581C3×C4C2×#23711yescharacteristic
582C3×C4C22×C3×D411yescharacteristic
583C3×C4C2×C3×#4111yescharacteristic
584Dic3—42no—
585Dic3—41no—
586C32#305011yescharacteristic, complemented, Sylow
587C23—22no—
588C23—24no—
589C23—21no—
590C23—61no—
591C23C2×C3×#6711yescharacteristic
592C23C2×C3×#6712yes—
593Q8—21no—
594Q8—21no—
595Q8—61no—
596Q8—61no—
597D4—21no—
598D4—21no—
599D4—42no—
600D4—44no—
601D4—61no—
602D4—61no—
603D4—122no—
604D4—124no—
605C2×C4—22no—
606C2×C4—24no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—21no—
611C2×C4—42no—
612C2×C4—62no—
613C2×C4—61no—
614C2×C4—122no—
615C2×C4C3×D3×D412yes—
616C2×C4C3×#23712yes—
617C2×C4C2×C3×#6712yes—
618C2×C4C2×C3×#6711yescharacteristic
619C2×C4C23×C3×D311yescharacteristic
620C8—32no—
621C8—32no—
622C8—62no—
623C2×C3—22no—
624C2×C3—24no—
625C2×C3—22no—
626C2×C3—24no—
627C2×C3—21no—
628C2×C3—22no—
629C2×C3—42no—
630C2×C3—44no—
631C2×C3—82no—
632C2×C3—81no—
633C2×C3—81no—
634C2×C3—241no—
635C2×C3C2×#93911yescharacteristic
636C2×C3C2×#95012yes—
637C2×C3C2×C3×#12111yescharacteristic
638C2×C3C2×C3×#13512yes—
639D3—81no—
640C22—28no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—41no—
645C22—42no—
646C22—121no—
647C22—122no—
648C22C3×#93912yes—
649C22C3×#95014yescomplemented
650C22C22×C3×#6711yescharacteristic
651C4—22no—
652C4—41no—
653C4—42no—
654C4—121no—
655C4—122no—
656C4C3×#93912yes—
657C4C2×C3×D3×D411yescharacteristic
658C4C2×C3×#23711yescharacteristic
659C3—21no—
660C3#8292211yescharacteristic, direct product factor
661C3C3×#305011yescharacteristic, complemented
662C2—22no—
663C2—24no—
664C2—81no—
665C2—241no—
666C2C2×C3×#93911yescharacteristic
667C2C2×C3×#95012yes—
subgroupG/H
centerC2×C3×C4C2×#67
commutator, cosocleC2×C3×C4C24×C3
FrattiniC2×C4C23×C3×D3
FittingC32×#525C2
socleC22×C32C22×D4
hypercenterC3×#525D3
hypocenterC3C3×#3050
LCSG ▷ C2×C3×C4 ▷ C2×C3 ▷ C3
UCSC1 ◁ C2×C3×C4 ◁ C23×C3×C4 ◁ C3×#525

Complements

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

NH ≅ G/Ntype
1. C32×#525C2semidirect
2. C2×C3×#950C2semidirect
3. C3×#5791C2semidirect
4. C23×C3×C3⋊C8C2semidirect
5. C3×#5233C2semidirect
6. C3×#5051C2semidirect
7. C3×#5048C2semidirect
8. C3×#5041C2semidirect
9. C3×#5038C2semidirect
10. C3×#5002C2semidirect
11. C3×#4998C2semidirect
13. #82922C3direct (N × H)
25. C2×C3×#216C22semidirect
26. C2×C3×#215C22semidirect
27. C2×C3×#214C22semidirect
28. C2×C3×#213C22semidirect
39. C3×#835C22semidirect
40. C3×#832C22semidirect
41. C3×#810C22semidirect
42. C3×#809C22semidirect
43. C3×#808C22semidirect
44. C3×#807C22semidirect
49. C3×#525D3semidirect
50. C3×#525C2×C3semidirect
51. C2×#950C2×C3semidirect
52. #5791C2×C3semidirect
53. C23×C3⋊C8C2×C3semidirect
61. #5233C2×C3semidirect
62. #5051C2×C3semidirect
63. #5048C2×C3semidirect
64. #5041C2×C3semidirect
65. #5038C2×C3semidirect
66. #5002C2×C3semidirect
67. #4998C2×C3semidirect
108. C2×C3×C3⋊C8D4semidirect
157. C2×#216C22×C3semidirect
158. C2×#215C22×C3semidirect
159. C2×#214C22×C3semidirect
160. C2×#213C22×C3semidirect
177. #835C22×C3semidirect
178. #832C22×C3semidirect
179. #810C22×C3semidirect
180. #809C22×C3semidirect
181. #808C22×C3semidirect
182. #807C22×C3semidirect
222. #525C3×D3semidirect
334. C2×C3⋊C8C3×D4semidirect
345. C22×C32#135semidirect
557. C22×C3#950semidirect
559. C22×C3C3×#135semidirect
586. C32#3050semidirect
649. C22C3×#950semidirect
660. C3#82922direct (N × H)
661. C3C3×#3050semidirect

Maximal subgroups

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

subgroupindex
C32×#5252
C2×C3×#9502
C3×#57912
C23×C3×C3⋊C82
C3×#52332
C3×#50512
C3×#50482
C3×#50412
C3×#50382
C3×#50022
C3×#49982
C3×#30503
#829223