Finite Group Databasebeta

← C3×#10591528 #13158427

Subgroups — C3×#10591528 #13158427

Order 1728.

954 conjugacy classes of subgroups.

The subgroup lattice has 666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C32×#237C211yesmaximal, characteristic
2C3×#63955C212yesmaximal, complemented
3C3×#63661C211yesmaximal, characteristic, complemented
4C32×#834C211yesmaximal, characteristic, complemented
5C3×#63580C212yesmaximal, complemented
6C3×#5240—31nomaximal
7C3×#4740—31nomaximal
8#10591528C311yesmaximal, characteristic, direct product factor
9C2×C33×D4C2211yescharacteristic
10C2×C32×#67C411yescharacteristic, complemented
11C2×C32×#67C2211yescharacteristic
12C22×C32×Dic3C411yescharacteristic, complemented
13C22×C32×Dic3C2211yescharacteristic
14C32×#237—22no—
15C32×#237—22no—
16C2×C32×C4×D3C411yescharacteristic, complemented
17C2×C32×Dic6C411yescharacteristic, complemented
18C3×#3757C2212yes—
19C32×#217C2212yes—
20C3×Dic3⋊Dic3—22no—
21C3×Dic32—22no—
22C2×C32×#41—31no—
23C2×C3×#237—21no—
24C2×C3×#237D311yescharacteristic
25C2×C3×#237C2×C311yescharacteristic
26C3×#926—32no—
27C3×#877—32no—
28#63955C2×C312yescomplemented
29C32×#99—31no—
30#63661C2×C311yescharacteristic, complemented
31C3×#834—21no—
32C3×#834—31no—
33C3×#834—31no—
34C3×#834—32no—
35C3×#834—61no—
36C3×#834D311yescharacteristic, complemented
37C3×#834C2×C311yescharacteristic, complemented
38C3×#806—32no—
39#63580C2×C312yescomplemented
40C23×C33C2×C411yescharacteristic
41C23×C33C2311yescharacteristic
42C22×C32×D3C2×C411yescharacteristic
43C33×D4—22no—
44C2×C33×C4C2×C411yescharacteristic
45C2×C3×C3⋊Dic3—22no—
46C32×#67—22no—
47C32×#67—22no—
48C2×C32×Dic3—21no—
49C2×C32×Dic3—21no—
50C2×C32×Dic3—22no—
51C2×C32×Dic3C2×C411yescharacteristic
52C2×C32×Dic3C2×C411yescharacteristic
53C2×C32×Dic3C2×C411yescharacteristic
54C2×C32×Dic3D412yes—
55C2×C32×Dic3D412yes—
56C32×C4×D3—21no—
57C32×C4×D3—21no—
58C32×Dic6—22no—
59C3×#410—91no—
60#5240—31no—
61#4740—31no—
62C32×#41—62no—
63C32×#41—62no—
64C2×C32×Q8—31no—
65C2×C32×D4—21no—
66C2×C32×D4—21no—
67C2×C32×D4—21no—
68C2×C32×D4—31no—
69C2×C32×D4—31no—
70C2×C32×D4—41no—
71C2×C32×D4C2×D311yescharacteristic
72C2×C32×D4C2×D311yescharacteristic
73C2×C32×D4C22×C311yescharacteristic
74C22×C32×C4—31no—
75C22×C32×C4—31no—
76C22×C32×C4—31no—
77C2×C3×#67—21no—
78C2×C3×#67—21no—
79C2×C3×#67Dic311yescharacteristic, complemented
80C2×C3×#67C3×C411yescharacteristic, complemented
81C2×C3×#67C2×D311yescharacteristic
82C2×C3×#67C22×C311yescharacteristic
83C22×C3×Dic3—21no—
84C22×C3×Dic3—21no—
85C22×C3×Dic3Dic311yescharacteristic, complemented
86C22×C3×Dic3C3×C411yescharacteristic, complemented
87C22×C3×Dic3C2×D311yescharacteristic
88C22×C3×Dic3C22×C311yescharacteristic
89C3×#237—24no—
90C3×#237—24no—
91C3×#237—22no—
92C3×#237—22no—
93C3×#237—22no—
94C3×#237—22no—
95C2×C3×C4×D3—21no—
96C2×C3×C4×D3Dic311yescharacteristic, complemented
97C2×C3×C4×D3C3×C411yescharacteristic, complemented
98C2×C3×Dic6—21no—
99C2×C3×Dic6Dic311yescharacteristic, complemented
100C2×C3×Dic6C3×C411yescharacteristic, complemented
101C32×C22⋊C4—32no—
102#3757C22×C312yes—
103C3×#217—22no—
104C3×#217—32no—
105C3×#217—32no—
106C3×#217—62no—
107C3×#217C2×D312yes—
108C3×#217C22×C312yes—
109C3×C4⋊Dic3—62no—
110C3×Dic3⋊C4—62no—
111C3×C4×Dic3—62no—
112C3×C4×Dic3—62no—
113Dic3⋊Dic3—22no—
114Dic32—22no—
115C22×C33—21no—
116C22×C33—41no—
117C22×C33—41no—
118C22×C33C22×C411yescharacteristic
119C22×C33C2×D412yes—
120C2×C32×D3—21no—
121C2×C32×D3—41no—
122C33×C4—21no—
123C3×C3⋊Dic3—42no—
124C32×Dic3—21no—
125C32×Dic3—42no—
126C32×Dic3C22⋊C412yes—
127C32×Dic3C22⋊C411yescharacteristic
128C32×Dic3C22⋊C411yescharacteristic
129C2×C3×#41—31no—
130C2×C3×#41—31no—
131C2×C3×#41—61no—
132C2×#237C3×D311yescharacteristic
133C3×#117—92no—
134#926—32no—
135#877—32no—
136C3×#99—31no—
137C3×#99—31no—
138C3×#99—61no—
139C3×#99—92no—
140C3×#99—91no—
141#834—31no—
142#834—31no—
143#834—32no—
144#834—61no—
145#834C3×D311yescharacteristic, complemented
146#806—32no—
147C23×C32—21no—
148C23×C32—21no—
149C23×C32—21no—
150C23×C32—21no—
151C23×C32—21no—
152C23×C32—21no—
153C23×C32—31no—
154C23×C32—41no—
155C23×C32—41no—
156C23×C32C4×D311yescharacteristic
157C23×C32C2×Dic311yescharacteristic
158C23×C32C2×C3×C411yescharacteristic
159C23×C32C22×D311yescharacteristic
160C23×C32C22×D311yescharacteristic
161C23×C32C23×C311yescharacteristic
162C22×C3×D3—21no—
163C22×C3×D3C2×Dic311yescharacteristic
164C22×C3×D3C2×C3×C411yescharacteristic
165C32×Q8—62no—
166C32×D4—22no—
167C32×D4—24no—
168C32×D4—22no—
169C32×D4—22no—
170C32×D4—42no—
171C32×D4—42no—
172C32×D4—44no—
173C32×D4—62no—
174C32×D4—62no—
175C2×C32×C4—21no—
176C2×C32×C4—21no—
177C2×C32×C4—21no—
178C2×C32×C4—31no—
179C2×C32×C4—31no—
180C2×C32×C4—32no—
181C2×C32×C4—32no—
182C2×C32×C4—31no—
183C2×C32×C4—41no—
184C2×C32×C4—61no—
185C2×C32×C4—61no—
186C2×C32×C4—61no—
187C2×C32×C4—61no—
188C2×C32×C4—62no—
189C2×C32×C4C4×D311yescharacteristic
190C2×C32×C4C2×Dic311yescharacteristic
191C2×C32×C4C2×C3×C411yescharacteristic
192C2×C3⋊Dic3—22no—
193C3×#67—24no—
194C3×#67—24no—
195C3×#67—22no—
196C3×#67—22no—
197C3×#67—22no—
198C3×#67—22no—
199C2×C3×Dic3—22no—
200C2×C3×Dic3—22no—
201C2×C3×Dic3—21no—
202C2×C3×Dic3—21no—
203C2×C3×Dic3—21no—
204C2×C3×Dic3—21no—
205C2×C3×Dic3—22no—
206C2×C3×Dic3—22no—
207C2×C3×Dic3—21no—
208C2×C3×Dic3—21no—
209C2×C3×Dic3—21no—
210C2×C3×Dic3—22no—
211C2×C3×Dic3—22no—
212C2×C3×Dic3—42no—
213C2×C3×Dic3—62no—
214C2×C3×Dic3—62no—
215C2×C3×Dic3—122no—
216C2×C3×Dic3C2×Dic311yescharacteristic
217C2×C3×Dic3C2×Dic311yescharacteristic
218C2×C3×Dic3C2×Dic311yescharacteristic
219C2×C3×Dic3#6712yes—
220C2×C3×Dic3#6712yes—
221C2×C3×Dic3C2×C3×C411yescharacteristic
222C2×C3×Dic3C2×C3×C411yescharacteristic
223C2×C3×Dic3C2×C3×C411yescharacteristic
224C2×C3×Dic3C3×D412yes—
225C2×C3×Dic3C3×D412yes—
226C3×C4×D3—22no—
227C3×C4×D3—22no—
228C3×C4×D3—21no—
229C3×C4×D3—21no—
230C3×C4×D3—21no—
231C3×C4×D3—21no—
232C3×Dic6—24no—
233C3×Dic6—22no—
234C3×Dic6—22no—
235#410—91noSylow
236C2×C33—21no—
237C2×C33—22no—
238C2×C33—41no—
239C2×C33C2×C22⋊C411yescharacteristic
240C32×D3—41no—
241C3×#41—62no—
242C3×#41—62no—
243C3×#41—62no—
244C3×#41—62no—
245C3×#41—64no—
246C3×#41—64no—
247C2×C3×Q8—31no—
248C2×C3×Q8—31no—
249C2×C3×Q8—61no—
250C2×C3×D4—21no—
251C2×C3×D4—21no—
252C2×C3×D4—21no—
253C2×C3×D4—31no—
254C2×C3×D4—31no—
255C2×C3×D4—31no—
256C2×C3×D4—31no—
257C2×C3×D4—41no—
258C2×C3×D4—61no—
259C2×C3×D4—61no—
260C2×C3×D4D3211yescharacteristic
261C2×C3×D4C2×C3×D311yescharacteristic
262C2×C3×D4C2×C3×D311yescharacteristic
263C22×C3×C4—31no—
264C22×C3×C4—31no—
265C22×C3×C4—31no—
266C22×C3×C4—31no—
267C22×C3×C4—31no—
268C22×C3×C4—31no—
269C22×C3×C4—61no—
270C22×C3×C4—61no—
271C22×C3×C4—61no—
272C2×#67C3×Dic311yescharacteristic, complemented
273C2×#67C2×C3×D311yescharacteristic
274C22×Dic3C3×Dic311yescharacteristic, complemented
275C22×Dic3C2×C3×D311yescharacteristic
276#237—22no—
277#237—22no—
278C2×C4×D3C3×Dic311yescharacteristic, complemented
279C2×Dic6C3×Dic311yescharacteristic, complemented
280C3×C4⋊C4—182no—
281C3×C22⋊C4—32no—
282C3×C22⋊C4—32no—
283C3×C22⋊C4—62no—
284C3×C22⋊C4—92no—
285C3×C42—182no—
286#217—32no—
287#217—32no—
288#217—62no—
289#217C2×C3×D312yes—
290C4⋊Dic3—62no—
291Dic3⋊C4—62no—
292C4×Dic3—62no—
293C4×Dic3—62no—
294C22×C32—21no—
295C22×C32—22no—
296C22×C32—21no—
297C22×C32—21no—
298C22×C32—21no—
299C22×C32—22no—
300C22×C32—21no—
301C22×C32—22no—
302C22×C32—21no—
303C22×C32—22no—
304C22×C32—41no—
305C22×C32—42no—
306C22×C32—41no—
307C22×C32—41no—
308C22×C32—42no—
309C22×C32—41no—
310C22×C32—41no—
311C22×C32—41no—
312C22×C32—41no—
313C22×C32—41no—
314C22×C32—41no—
315C22×C32—42no—
316C22×C32—42no—
317C22×C32—61no—
318C22×C32—81no—
319C22×C32—81no—
320C22×C32—81no—
321C22×C32—81no—
322C22×C32—82no—
323C22×C32—82no—
324C22×C32—121no—
325C22×C32C2×C4×D311yescharacteristic
326C22×C32D3×D412yes—
327C22×C32C22×Dic311yescharacteristic
328C22×C32C2×#6712yes—
329C22×C32C22×C3×C411yescharacteristic
330C22×C32C2×C3×D412yes—
331C2×C3×D3—22no—
332C2×C3×D3—21no—
333C2×C3×D3—21no—
334C2×C3×D3—42no—
335C2×C3×D3—41no—
336C2×C3×D3—41no—
337C32×C4—21no—
338C32×C4—22no—
339C32×C4—21no—
340C32×C4—21no—
341C32×C4—31no—
342C32×C4—31no—
343C32×C4—32no—
344C32×C4—41no—
345C32×C4—41no—
346C32×C4—42no—
347C32×C4—61no—
348C32×C4—122no—
349C3⋊Dic3—42no—
350C3×Dic3—22no—
351C3×Dic3—21no—
352C3×Dic3—21no—
353C3×Dic3—22no—
354C3×Dic3—21no—
355C3×Dic3—21no—
356C3×Dic3—42no—
357C3×Dic3—42no—
358C3×Dic3—82no—
359C3×Dic3—122no—
360C3×Dic3—122no—
361C3×Dic3—242no—
362C3×Dic3#21712yes—
363C3×Dic3#21711yescharacteristic
364C3×Dic3#21711yescharacteristic
365C3×Dic3C3×C22⋊C412yes—
366C3×Dic3C3×C22⋊C411yescharacteristic
367C3×Dic3C3×C22⋊C411yescharacteristic
368C2×#41—31no—
369#117—92no—
370#99—31no—
371#99—92no—
372#99—91no—
373C33#41011yescharacteristic, complemented, Sylow
374C23×C3—21no—
375C23×C3—21no—
376C23×C3—21no—
377C23×C3—21no—
378C23×C3—21no—
379C23×C3—21no—
380C23×C3—31no—
381C23×C3—31no—
382C23×C3—41no—
383C23×C3—41no—
384C23×C3—61no—
385C23×C3D3×Dic311yescharacteristic
386C23×C3C3×C4×D311yescharacteristic
387C23×C3C2×C3×Dic311yescharacteristic
388C23×C3C2×D3211yescharacteristic
389C23×C3C22×C3×D311yescharacteristic
390C23×C3C22×C3×D311yescharacteristic
391C22×D3C2×C3×Dic311yescharacteristic
392C3×Q8—62no—
393C3×Q8—62no—
394C3×Q8—64no—
395C3×D4—24no—
396C3×D4—22no—
397C3×D4—22no—
398C3×D4—22no—
399C3×D4—42no—
400C3×D4—42no—
401C3×D4—44no—
402C3×D4—62no—
403C3×D4—62no—
404C3×D4—64no—
405C3×D4—64no—
406C3×D4—62no—
407C3×D4—62no—
408C2×C3×C4—21no—
409C2×C3×C4—21no—
410C2×C3×C4—21no—
411C2×C3×C4—31no—
412C2×C3×C4—31no—
413C2×C3×C4—32no—
414C2×C3×C4—32no—
415C2×C3×C4—31no—
416C2×C3×C4—31no—
417C2×C3×C4—32no—
418C2×C3×C4—32no—
419C2×C3×C4—31no—
420C2×C3×C4—31no—
421C2×C3×C4—41no—
422C2×C3×C4—61no—
423C2×C3×C4—61no—
424C2×C3×C4—61no—
425C2×C3×C4—62no—
426C2×C3×C4—62no—
427C2×C3×C4—61no—
428C2×C3×C4—61no—
429C2×C3×C4—61no—
430C2×C3×C4—61no—
431C2×C3×C4—62no—
432C2×C3×C4—62no—
433C2×C3×C4—61no—
434C2×C3×C4—61no—
435C2×C3×C4—61no—
436C2×C3×C4—61no—
437C2×C3×C4—62no—
438C2×C3×C4—62no—
439C2×C3×C4—62no—
440C2×C3×C4—62no—
441C2×C3×C4—122no—
442C2×C3×C4—182no—
443C2×C3×C4D3×Dic311yescharacteristic
444C2×C3×C4C3×C4×D311yescharacteristic
445C2×C3×C4C2×C3×Dic311yescharacteristic
446#67—22no—
447#67—22no—
448C2×Dic3—21no—
449C2×Dic3—21no—
450C2×Dic3—22no—
451C2×Dic3—62no—
452C2×Dic3—62no—
453C2×Dic3—122no—
454C2×Dic3C2×C3×Dic311yescharacteristic
455C2×Dic3C2×C3×Dic311yescharacteristic
456C2×Dic3C2×C3×Dic311yescharacteristic
457C2×Dic3C3×#6712yes—
458C2×Dic3C3×#6712yes—
459C4×D3—21no—
460C4×D3—21no—
461Dic6—22no—
462C2×C32—21no—
463C2×C32—22no—
464C2×C32—22no—
465C2×C32—21no—
466C2×C32—22no—
467C2×C32—22no—
468C2×C32—21no—
469C2×C32—21no—
470C2×C32—21no—
471C2×C32—21no—
472C2×C32—41no—
473C2×C32—41no—
474C2×C32—41no—
475C2×C32—42no—
476C2×C32—42no—
477C2×C32—42no—
478C2×C32—42no—
479C2×C32—41no—
480C2×C32—42no—
481C2×C32—41no—
482C2×C32—41no—
483C2×C32—82no—
484C2×C32—81no—
485C2×C32—81no—
486C2×C32—82no—
487C2×C32—121no—
488C2×C32D3×C22⋊C411yescharacteristic
489C2×C32C2×#21711yescharacteristic
490C2×C32C2×C3×C22⋊C411yescharacteristic
491C3×D3—42no—
492C3×D3—41no—
493C3×D3—41no—
494#41—62no—
495#41—62no—
496C2×Q8—31no—
497C2×D4—31no—
498C2×D4—31no—
499C2×D4C3×D3211yescharacteristic
500C22×C4—31no—
501C22×C4—31no—
502C22×C4—31no—
503C4⋊C4—182no—
504C22⋊C4—32no—
505C22⋊C4—92no—
506C42—182no—
507C22×C3—22no—
508C22×C3—21no—
509C22×C3—21no—
510C22×C3—21no—
511C22×C3—21no—
512C22×C3—21no—
513C22×C3—21no—
514C22×C3—22no—
515C22×C3—22no—
516C22×C3—22no—
517C22×C3—41no—
518C22×C3—41no—
519C22×C3—42no—
520C22×C3—41no—
521C22×C3—41no—
522C22×C3—41no—
523C22×C3—41no—
524C22×C3—41no—
525C22×C3—41no—
526C22×C3—42no—
527C22×C3—42no—
528C22×C3—41no—
529C22×C3—42no—
530C22×C3—62no—
531C22×C3—61no—
532C22×C3—61no—
533C22×C3—81no—
534C22×C3—81no—
535C22×C3—81no—
536C22×C3—81no—
537C22×C3—82no—
538C22×C3—82no—
539C22×C3—121no—
540C22×C3—121no—
541C22×C3—122no—
542C22×C3C2×D3×Dic311yescharacteristic
543C22×C3D3×#6712yes—
544C22×C3C2×C3×C4×D311yescharacteristic
545C22×C3C3×D3×D412yes—
546C22×C3C22×C3×Dic311yescharacteristic
547C22×C3C2×C3×#6712yes—
548C2×D3—21no—
549C2×D3—41no—
550C3×C4—22no—
551C3×C4—21no—
552C3×C4—21no—
553C3×C4—21no—
554C3×C4—31no—
555C3×C4—31no—
556C3×C4—32no—
557C3×C4—31no—
558C3×C4—31no—
559C3×C4—32no—
560C3×C4—41no—
561C3×C4—41no—
562C3×C4—42no—
563C3×C4—61no—
564C3×C4—61no—
565C3×C4—62no—
566C3×C4—62no—
567C3×C4—61no—
568C3×C4—61no—
569C3×C4—122no—
570C3×C4—122no—
571C3×C4—242no—
572C3×C4—362no—
573Dic3—21no—
574Dic3—42no—
575Dic3—122no—
576Dic3—122no—
577Dic3—242no—
578Dic3C3×#21712yes—
579Dic3C3×#21711yescharacteristic
580Dic3C3×#21711yescharacteristic
581C32—21no—
582C32—21no—
583C32—21no—
584C32—41no—
585C32#474011yescharacteristic, complemented
586C32#524011yescharacteristic, complemented
587C32C3×#41011yescharacteristic, complemented
588C23—31no—
589C23C3×D3×Dic311yescharacteristic
590C23C2×C3×D3211yescharacteristic
591Q8—62no—
592D4—22no—
593D4—62no—
594D4—62no—
595C2×C4—31no—
596C2×C4—31no—
597C2×C4—32no—
598C2×C4—32no—
599C2×C4—31no—
600C2×C4—61no—
601C2×C4—61no—
602C2×C4—61no—
603C2×C4—61no—
604C2×C4—62no—
605C2×C4—182no—
606C2×C4C3×D3×Dic311yescharacteristic
607C2×C3—22no—
608C2×C3—22no—
609C2×C3—21no—
610C2×C3—22no—
611C2×C3—21no—
612C2×C3—22no—
613C2×C3—21no—
614C2×C3—21no—
615C2×C3—21no—
616C2×C3—21no—
617C2×C3—42no—
618C2×C3—42no—
619C2×C3—42no—
620C2×C3—41no—
621C2×C3—41no—
622C2×C3—42no—
623C2×C3—42no—
624C2×C3—41no—
625C2×C3—41no—
626C2×C3—41no—
627C2×C3—41no—
628C2×C3—82no—
629C2×C3—81no—
630C2×C3—81no—
631C2×C3—82no—
632C2×C3—122no—
633C2×C3—121no—
634C2×C3—121no—
635C2×C3D3×#21711yescharacteristic
636C2×C3C3×D3×C22⋊C411yescharacteristic
637C2×C3C2×C3×#21711yescharacteristic
638D3—41no—
639C22—21no—
640C22—41no—
641C22—41no—
642C22—61no—
643C22—121no—
644C22C2×C3×D3×Dic311yescharacteristic
645C22C3×D3×#6712yes—
646C4—21no—
647C4—31no—
648C4—31no—
649C4—32no—
650C4—61no—
651C4—122no—
652C4—362no—
653C3—21no—
654C3—21no—
655C3—21no—
656C3—41no—
657C3#1059152811yescharacteristic, direct product factor
658C3C3×#474011yescharacteristic, complemented
659C3C3×#524011yescharacteristic, complemented
660C2—22no—
661C2—21no—
662C2—41no—
663C2—121no—
664C2C3×D3×#21711yescharacteristic
subgroupG/H
centerC2×C3D3×#217
commutatorC22×C32C22×C3×C4
FrattiniC23C2×C3×D32
FittingC2×C33×D4C22
socleC2×C33C2×C22⋊C4
prime radicalC2×C32×#237C2
cosocleC23×C32C23×C3
hypercenterC2×C3×D4D32
hypocenterC32C3×#410
LCSG ▷ C22×C32 ▷ C2×C32 ▷ C32
UCSC1 ◁ C2×C3 ◁ C23×C3 ◁ C2×C3×D4

Complements

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

NH ≅ G/Ntype
2. C3×#63955C2semidirect
3. C3×#63661C2semidirect
4. C32×#834C2semidirect
5. C3×#63580C2semidirect
8. #10591528C3direct (N × H)
10. C2×C32×#67C4semidirect
12. C22×C32×Dic3C4semidirect
16. C2×C32×C4×D3C4semidirect
17. C2×C32×Dic6C4semidirect
28. #63955C2×C3semidirect
30. #63661C2×C3semidirect
36. C3×#834D3semidirect
37. C3×#834C2×C3semidirect
39. #63580C2×C3semidirect
79. C2×C3×#67Dic3semidirect
80. C2×C3×#67C3×C4semidirect
85. C22×C3×Dic3Dic3semidirect
86. C22×C3×Dic3C3×C4semidirect
96. C2×C3×C4×D3Dic3semidirect
97. C2×C3×C4×D3C3×C4semidirect
99. C2×C3×Dic6Dic3semidirect
100. C2×C3×Dic6C3×C4semidirect
145. #834C3×D3semidirect
272. C2×#67C3×Dic3semidirect
274. C22×Dic3C3×Dic3semidirect
278. C2×C4×D3C3×Dic3semidirect
279. C2×Dic6C3×Dic3semidirect
373. C33#410semidirect
585. C32#4740semidirect
586. C32#5240semidirect
587. C32C3×#410semidirect
657. C3#10591528direct (N × H)
658. C3C3×#4740semidirect
659. C3C3×#5240semidirect

Maximal subgroups

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

subgroupindex
C2×C32×#2372
C3×#639552
C3×#636612
C32×#8342
C3×#635802
C3×#52403
C3×#47403
#105915283