Finite Group Databasebeta

← C3×#10611431 #14472077

Subgroups — C3×#10611431 #14472077

Order 1920.

672 conjugacy classes of subgroups.

The subgroup lattice has 636 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#65903C211yesmaximal, characteristic, complemented
2C3×#65902C211yesmaximal, characteristic
3C3×C4×C5×Q16C211yesmaximal, characteristic, complemented
4C3×#65474C211yesmaximal, characteristic
5C3×#65471C211yesmaximal, characteristic, complemented
6C3×#65317C211yesmaximal, characteristic
7C3×#65311C211yesmaximal, characteristic, complemented
8C3×#65179C211yesmaximal, characteristic
9C3×#65166C211yesmaximal, characteristic, complemented
10C3×#65089C211yesmaximal, characteristic
11C3×#65081C211yesmaximal, characteristic, complemented
12C3×#65079C211yesmaximal, characteristic, complemented
13C3×#65077C211yesmaximal, characteristic
14C3×#64986C211yesmaximal, characteristic
15C3×C8×Dic10C211yesmaximal, characteristic, complemented
16#10611431C311yesmaximal, characteristic, direct product factor, Hall
17C2×C3×C5×Q16C2211yescharacteristic
18C3×C4×C5×Q8C2211yescharacteristic
19C3×C4×C5×Q8C2211yescharacteristic
20C3×#4093C2211yescharacteristic
21C3×Q8×Dic5C2211yescharacteristic
22C3×Q8×Dic5C2211yescharacteristic
23C3×#4090C2211yescharacteristic
24C2×C3×#689C2211yescharacteristic
25C2×C3×#688C2211yescharacteristic
26C3×#4044—21no—
27C3×#4042—21no—
28C3×#4039C2211yescharacteristic
29C3×#4036—21no—
30C3×#4036C2211yescharacteristic
31C3×#4034—21no—
32C3×#4034C2211yescharacteristic
33C3×#4033C2211yescharacteristic
34C3×#4022—21no—
35C3×#4021C2211yescharacteristic
36C3×#4018—21no—
37C3×#4016—21no—
38C3×#4016C2211yescharacteristic
39C3×C4×Dic10—21no—
40C3×C4×Dic10C2211yescharacteristic
41C3×C5×#107C2211yescharacteristic
42C3×C5×#103C2211yescharacteristic
43C3×C5×#103C2211yescharacteristic
44C3×C4×C5×C8C2211yescharacteristic
45C3×#3967C2211yescharacteristic
46C3×#3967C2211yescharacteristic
47C3×#3953C2211yescharacteristic
48C3×#3953C2211yescharacteristic
49C3×#3948C2211yescharacteristic
50C3×#3948C2211yescharacteristic
51C3×#3946C2211yescharacteristic
52C3×#3946C2211yescharacteristic
53C3×C8×Dic5C2211yescharacteristic
54C3×C8×Dic5C2211yescharacteristic
55C3×#3942C2211yescharacteristic
56C3×#3941C2211yescharacteristic
57C3×#3940C2211yescharacteristic
58C3×#3939C2211yescharacteristic
59C3×C4⋊#168C2211yescharacteristic
60C3×#3364—51nomaximal, Hall
61#65903C2×C311yescharacteristic, complemented
62#65902C2×C311yescharacteristic
63C4×C5×Q16C2×C311yescharacteristic, complemented
64#65474C2×C311yescharacteristic
65#65471C2×C311yescharacteristic, complemented
66#65317C2×C311yescharacteristic
67#65311C2×C311yescharacteristic, complemented
68#65179C2×C311yescharacteristic
69#65166C2×C311yescharacteristic, complemented
70#65089C2×C311yescharacteristic
71#65081C2×C311yescharacteristic, complemented
72#65079C2×C311yescharacteristic, complemented
73#65077C2×C311yescharacteristic
74#64986C2×C311yescharacteristic
75C8×Dic10C2×C311yescharacteristic, complemented
76C2×C3×C5×Q8C2311yescharacteristic
77C2×C3×C5×Q8C2311yescharacteristic
78C2×C3×D20C2311yescharacteristic
79C2×C3×C4×D5—21no—
80C2×C3×Dic10—21no—
81C2×C3×Dic10D411yescharacteristic
82C2×C3×Dic10C2311yescharacteristic
83C3×C5×Q16—22no—
84C2×C3×C5×C8C2311yescharacteristic
85C2×C3×C5×C8C2311yescharacteristic
86C3×C5×C4⋊C4—21no—
87C3×C5×C4⋊C4—21no—
88C3×C5×C4⋊C4C2311yescharacteristic
89C3×C5×C4⋊C4C2311yescharacteristic
90C3×C42×C5—21no—
91C3×C42×C5—21no—
92C3×C42×C5C2311yescharacteristic
93C3×#689—22no—
94C3×#688—22no—
95C3×#685—21no—
96C3×#685—21no—
97C3×#685—21no—
98C3×#685—21no—
99C3×#685—21no—
100C3×C4⋊Dic5—21no—
101C3×C4⋊Dic5—21no—
102C3×C4⋊Dic5—21no—
103C3×C4⋊Dic5D411yescharacteristic
104C3×C4⋊Dic5C2311yescharacteristic
105C3×C4⋊Dic5C2311yescharacteristic
106C3×#683—21no—
107C3×#683—21no—
108C3×#683—21no—
109C3×#683—21no—
110C3×#683—21no—
111C3×#683—21no—
112C3×#683—21no—
113C3×#683D411yescharacteristic
114C3×#683D411yescharacteristic
115C3×C4×Dic5—21no—
116C3×C4×Dic5—21no—
117C3×C4×Dic5—21no—
118C3×C4×Dic5C2311yescharacteristic
119C3×C4×Dic5C2311yescharacteristic
120C2×C3×#168C2311yescharacteristic
121C2×C3×#168C2311yescharacteristic
122C3×#557—51no—
123C3×#556—51no—
124C3×#488—51no—
125C3×#488—51no—
126C3×#487—51no—
127C3×#479—51no—
128C3×#479—51no—
129C3×#474—51no—
130C3×#464—51no—
131C3×#464—51no—
132C3×#462—51no—
133C3×C8×Q8—51no—
134C3×C4×Q16—51no—
135C3×C4×Q16D511yescharacteristic, complemented
136C3×C4×SD16—51no—
137C2×C5×Q16C22×C311yescharacteristic
138C4×C5×Q8C22×C311yescharacteristic
139C4×C5×Q8C22×C311yescharacteristic
140#4093C22×C311yescharacteristic
141Q8×Dic5C22×C311yescharacteristic
142Q8×Dic5C22×C311yescharacteristic
143#4090C22×C311yescharacteristic
144C2×#689C22×C311yescharacteristic
145C2×#688C22×C311yescharacteristic
146#4044—21no—
147#4042—21no—
148#4039C22×C311yescharacteristic
149#4036—21no—
150#4036C22×C311yescharacteristic
151#4034—21no—
152#4034C22×C311yescharacteristic
153#4033C22×C311yescharacteristic
154#4022—21no—
155#4021C22×C311yescharacteristic
156#4018—21no—
157#4016—21no—
158#4016C22×C311yescharacteristic
159C4×Dic10—21no—
160C4×Dic10C22×C311yescharacteristic
161C5×#107C22×C311yescharacteristic
162C5×#103C22×C311yescharacteristic
163C5×#103C22×C311yescharacteristic
164C4×C5×C8C22×C311yescharacteristic
165#3967C22×C311yescharacteristic
166#3967C22×C311yescharacteristic
167#3953C22×C311yescharacteristic
168#3953C22×C311yescharacteristic
169#3948C22×C311yescharacteristic
170#3948C22×C311yescharacteristic
171#3946C22×C311yescharacteristic
172#3946C22×C311yescharacteristic
173C8×Dic5C22×C311yescharacteristic
174C8×Dic5C22×C311yescharacteristic
175#3942C22×C311yescharacteristic
176#3941C22×C311yescharacteristic
177#3940C22×C311yescharacteristic
178#3939C22×C311yescharacteristic
179C4⋊#168C22×C311yescharacteristic
180#3364—51noSylow
181C22×C3×D5—21no—
182C3×C5×Q8—21no—
183C3×C5×Q8—21no—
184C3×C5×Q8—21no—
185C3×C5×Q8#4112yes—
186C2×C3×C4×C5—21no—
187C2×C3×C4×C5—21no—
188C2×C3×C4×C5—21no—
189C2×C3×C4×C5—21no—
190C2×C3×C4×C5C2×D411yescharacteristic
191C2×C3×C4×C5C2×D411yescharacteristic
192C2×C3×C4×C5C2411yescharacteristic
193C2×C3×Dic5—21no—
194C2×C3×Dic5—21no—
195C2×C3×Dic5—21no—
196C2×C3×Dic5C2×D411yescharacteristic
197C2×C3×Dic5C2×D411yescharacteristic
198C2×C3×Dic5C2×D411yescharacteristic
199C2×C3×Dic5C2×D411yescharacteristic
200C3×D20—21no—
201C3×D20—21no—
202C3×C4×D5—42no—
203C3×Dic10—22no—
204C3×Dic10—21no—
205C3×Dic10—21no—
206C3×Dic10—42no—
207C3×C5×C8—21no—
208C3×C5×C8—21no—
209C3×#168—21no—
210C3×#168—21no—
211C2×C3×Q16—51no—
212C2×C3×Q16C2×D511yescharacteristic
213C2×C3×SD16—51no—
214C3×C4⋊Q8—51no—
215C3×C4⋊Q8—51no—
216C3×C4⋊Q8—101no—
217C3×#126—101no—
218C3×#126—101no—
219C3×#125—51no—
220C3×#125—51no—
221C3×#125—101no—
222C3×#125—101no—
223C3×#124—51no—
224C3×#124—51no—
225C3×C22⋊Q8—101no—
226C3×C4×Q8—51no—
227C3×C4×Q8—51no—
228C3×C4×Q8—51no—
229C3×C4×Q8—51no—
230C3×C4×Q8—101no—
231C3×C4×Q8C2×D511yescharacteristic
232C3×C4×Q8C2×D511yescharacteristic
233C3×C4×D4—51no—
234C3×#117—101no—
235C3×#107—51no—
236C3×#107C2×D511yescharacteristic
237C3×#106—51no—
238C3×C4⋊C8—51no—
239C3×C4⋊C8—51no—
240C3×C4⋊C8—51no—
241C3×#103—51no—
242C3×#103—51no—
243C3×#103—51no—
244C3×#103—51no—
245C3×#103—51no—
246C3×#103C2×D511yescharacteristic
247C3×#103C2×D511yescharacteristic
248C3×#102—51no—
249C3×#102—51no—
250C3×#102—51no—
251C3×C4×C8—51no—
252C3×C4×C8—51no—
253C3×C4×C8C2×D511yescharacteristic
254C2×C5×Q8C23×C311yescharacteristic
255C2×C5×Q8C23×C311yescharacteristic
256C2×D20C23×C311yescharacteristic
257C2×C4×D5—21no—
258C2×Dic10—21no—
259C2×Dic10C3×D411yescharacteristic
260C2×Dic10C23×C311yescharacteristic
261C5×Q16—22no—
262C2×C5×C8C23×C311yescharacteristic
263C2×C5×C8C23×C311yescharacteristic
264C5×C4⋊C4—21no—
265C5×C4⋊C4—21no—
266C5×C4⋊C4C23×C311yescharacteristic
267C5×C4⋊C4C23×C311yescharacteristic
268C42×C5—21no—
269C42×C5—21no—
270C42×C5C23×C311yescharacteristic
271#689—22no—
272#688—22no—
273#685—21no—
274#685—21no—
275#685—21no—
276#685—21no—
277#685—21no—
278C4⋊Dic5—21no—
279C4⋊Dic5—21no—
280C4⋊Dic5—21no—
281C4⋊Dic5C3×D411yescharacteristic
282C4⋊Dic5C23×C311yescharacteristic
283C4⋊Dic5C23×C311yescharacteristic
284#683—21no—
285#683—21no—
286#683—21no—
287#683—21no—
288#683—21no—
289#683—21no—
290#683—21no—
291#683C3×D411yescharacteristic
292#683C3×D411yescharacteristic
293C4×Dic5—21no—
294C4×Dic5—21no—
295C4×Dic5—21no—
296C4×Dic5C23×C311yescharacteristic
297C4×Dic5C23×C311yescharacteristic
298C2×#168C23×C311yescharacteristic
299C2×#168C23×C311yescharacteristic
300#557—51no—
301#556—51no—
302#488—51no—
303#488—51no—
304#487—51no—
305#479—51no—
306#479—51no—
307#474—51no—
308#464—51no—
309#464—51no—
310#462—51no—
311C8×Q8—51no—
312C4×Q16—51no—
313C4×Q16C3×D511yescharacteristic, complemented
314C4×SD16—51no—
315C22×C3×C5C22×D411yescharacteristic
316C2×C3×D5—41no—
317C2×C3×D5—41no—
318C2×C3×D5—41no—
319C3×C4×C5—22no—
320C3×C4×C5—21no—
321C3×C4×C5—21no—
322C3×C4×C5—41no—
323C3×C4×C5—41no—
324C3×C4×C5—41no—
325C3×C4×C5C2×#4111yescharacteristic
326C3×C4×C52−1+411yescharacteristic
327C3×Dic5—21no—
328C3×Dic5—21no—
329C3×Dic5—21no—
330C3×Dic5—41no—
331C3×Dic5—41no—
332C3×Dic5—41no—
333C3×Dic5#13512yes—
334C2×C3×Q8—51no—
335C2×C3×Q8—51no—
336C2×C3×Q8—101no—
337C2×C3×Q8C22×D511yescharacteristic
338C2×C3×Q8C22×D511yescharacteristic
339C2×C3×D4—51no—
340C22×C3×C4—101no—
341C3×Q16—22no—
342C3×Q16—102no—
343C3×SD16—102no—
344C2×C3×C8—51no—
345C2×C3×C8—51no—
346C2×C3×C8C22×D511yescharacteristic
347C2×C3×C8C22×D511yescharacteristic
348C3×C4⋊C4—21no—
349C3×C4⋊C4—21no—
350C3×C4⋊C4—51no—
351C3×C4⋊C4—51no—
352C3×C4⋊C4—51no—
353C3×C4⋊C4—51no—
354C3×C4⋊C4—51no—
355C3×C4⋊C4—101no—
356C3×C4⋊C4—101no—
357C3×C4⋊C4—101no—
358C3×C4⋊C4—101no—
359C3×C4⋊C4—101no—
360C3×C4⋊C4—101no—
361C3×C4⋊C4—101no—
362C3×C4⋊C4—101no—
363C3×C4⋊C4—101no—
364C3×C4⋊C4—101no—
365C3×C4⋊C4C22×D511yescharacteristic
366C3×C4⋊C4C22×D511yescharacteristic
367C3×C22⋊C4—101no—
368C3×C22⋊C4—101no—
369C3×C22⋊C4—101no—
370C3×C22⋊C4—101no—
371C3×C22⋊C4—101no—
372C3×C42—21no—
373C3×C42—21no—
374C3×C42—51no—
375C3×C42—51no—
376C3×C42—101no—
377C3×C42—101no—
378C3×C42—101no—
379C3×C42C22×D511yescharacteristic
380C22×D5—21no—
381C5×Q8—21no—
382C5×Q8—21no—
383C5×Q8—21no—
384C5×Q8C3×#4112yes—
385C2×C4×C5—21no—
386C2×C4×C5—21no—
387C2×C4×C5—21no—
388C2×C4×C5—21no—
389C2×C4×C5C2×C3×D411yescharacteristic
390C2×C4×C5C2×C3×D411yescharacteristic
391C2×C4×C5C24×C311yescharacteristic
392C2×Dic5—21no—
393C2×Dic5—21no—
394C2×Dic5—21no—
395C2×Dic5C2×C3×D411yescharacteristic
396C2×Dic5C2×C3×D411yescharacteristic
397C2×Dic5C2×C3×D411yescharacteristic
398C2×Dic5C2×C3×D411yescharacteristic
399D20—21no—
400D20—21no—
401C4×D5—42no—
402Dic10—22no—
403Dic10—21no—
404Dic10—21no—
405Dic10—42no—
406C5×C8—21no—
407C5×C8—21no—
408#168—21no—
409#168—21no—
410C2×Q16—51no—
411C2×Q16C2×C3×D511yescharacteristic
412C2×SD16—51no—
413C4⋊Q8—51no—
414C4⋊Q8—51no—
415C4⋊Q8—101no—
416#126—101no—
417#126—101no—
418#125—51no—
419#125—51no—
420#125—101no—
421#125—101no—
422#124—51no—
423#124—51no—
424C22⋊Q8—101no—
425C4×Q8—51no—
426C4×Q8—51no—
427C4×Q8—51no—
428C4×Q8—51no—
429C4×Q8—101no—
430C4×Q8C2×C3×D511yescharacteristic
431C4×Q8C2×C3×D511yescharacteristic
432C4×D4—51no—
433#117—101no—
434#107—51no—
435#107C2×C3×D511yescharacteristic
436#106—51no—
437C4⋊C8—51no—
438C4⋊C8—51no—
439C4⋊C8—51no—
440#103—51no—
441#103—51no—
442#103—51no—
443#103—51no—
444#103—51no—
445#103C2×C3×D511yescharacteristic
446#103C2×C3×D511yescharacteristic
447#102—51no—
448#102—51no—
449#102—51no—
450C4×C8—51no—
451C4×C8—51no—
452C4×C8C2×C3×D511yescharacteristic
453C2×C3×C5#54811yescharacteristic
454C2×C3×C5C2×#13511yescharacteristic
455C2×C3×C5#57811yescharacteristic
456C3×D5—81no—
457C23×C3—101no—
458C3×Q8—21no—
459C3×Q8—21no—
460C3×Q8—21no—
461C3×Q8—102no—
462C3×Q8—101no—
463C3×Q8—101no—
464C3×Q8—202no—
465C3×Q8#70912yes—
466C3×D4—101no—
467C3×D4—101no—
468C2×C3×C4—21no—
469C2×C3×C4—21no—
470C2×C3×C4—21no—
471C2×C3×C4—21no—
472C2×C3×C4—51no—
473C2×C3×C4—51no—
474C2×C3×C4—51no—
475C2×C3×C4—51no—
476C2×C3×C4—101no—
477C2×C3×C4—101no—
478C2×C3×C4—101no—
479C2×C3×C4—202no—
480C2×C3×C4D4×D511yescharacteristic
481C2×C3×C4D4×D511yescharacteristic
482C2×C3×C4C23×D511yescharacteristic
483C3×C8—21no—
484C3×C8—21no—
485C3×C8—101no—
486C3×C8—101no—
487C22×C5C22×C3×D411yescharacteristic
488C2×D5—41no—
489C2×D5—41no—
490C2×D5—41no—
491C4×C5—21no—
492C4×C5—21no—
493C4×C5—22no—
494C4×C5—41no—
495C4×C5—41no—
496C4×C5—41no—
497C4×C5C2×C3×#4111yescharacteristic
498C4×C5C3×2−1+411yescharacteristic
499Dic5—21no—
500Dic5—21no—
501Dic5—21no—
502Dic5—41no—
503Dic5—41no—
504Dic5—41no—
505Dic5C3×#13512yes—
506C2×Q8—51no—
507C2×Q8—51no—
508C2×Q8—101no—
509C2×Q8C22×C3×D511yescharacteristic
510C2×Q8C22×C3×D511yescharacteristic
511C2×D4—51no—
512C22×C4—101no—
513Q16—22no—
514Q16—102no—
515SD16—102no—
516C2×C8—51no—
517C2×C8—51no—
518C2×C8C22×C3×D511yescharacteristic
519C2×C8C22×C3×D511yescharacteristic
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—51no—
523C4⋊C4—51no—
524C4⋊C4—51no—
525C4⋊C4—51no—
526C4⋊C4—51no—
527C4⋊C4—101no—
528C4⋊C4—101no—
529C4⋊C4—101no—
530C4⋊C4—101no—
531C4⋊C4—101no—
532C4⋊C4—101no—
533C4⋊C4—101no—
534C4⋊C4—101no—
535C4⋊C4—101no—
536C4⋊C4—101no—
537C4⋊C4C22×C3×D511yescharacteristic
538C4⋊C4C22×C3×D511yescharacteristic
539C22⋊C4—101no—
540C22⋊C4—101no—
541C22⋊C4—101no—
542C22⋊C4—101no—
543C22⋊C4—101no—
544C42—21no—
545C42—21no—
546C42—51no—
547C42—51no—
548C42—101no—
549C42—101no—
550C42—101no—
551C42C22×C3×D511yescharacteristic
552C3×C5#336411yescharacteristic, complemented, Hall
553C22×C3—201no—
554C22×C3—201no—
555C22×C3—201no—
556C22×C3C2×D4×D511yescharacteristic
557C3×C4—21no—
558C3×C4—21no—
559C3×C4—22no—
560C3×C4—41no—
561C3×C4—41no—
562C3×C4—41no—
563C3×C4—52no—
564C3×C4—101no—
565C3×C4—101no—
566C3×C4—101no—
567C3×C4—201no—
568C3×C4—201no—
569C3×C4—201no—
570C3×C4C2×#70911yescharacteristic
571C3×C4#415011yescharacteristic
572C2×C5C3×#54811yescharacteristic
573C2×C5C2×C3×#13511yescharacteristic
574C2×C5C3×#57811yescharacteristic
575D5—81no—
576C23—101no—
577Q8—21no—
578Q8—21no—
579Q8—21no—
580Q8—102no—
581Q8—101no—
582Q8—101no—
583Q8—202no—
584Q8C3×#70912yes—
585D4—101no—
586D4—101no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—51no—
592C2×C4—51no—
593C2×C4—51no—
594C2×C4—51no—
595C2×C4—101no—
596C2×C4—101no—
597C2×C4—101no—
598C2×C4—202no—
599C2×C4C3×D4×D511yescharacteristic
600C2×C4C3×D4×D511yescharacteristic
601C2×C4C23×C3×D511yescharacteristic
602C8—21no—
603C8—21no—
604C8—101no—
605C8—101no—
606C2×C3—401no—
607C2×C3#6588611yescharacteristic
608C2×C3#6610011yescharacteristic
609C2×C3D5×#13511yescharacteristic
610C5C3×#336411yescharacteristic, complemented, Sylow
611C22—201no—
612C22—201no—
613C22—201no—
614C22C2×C3×D4×D511yescharacteristic
615C4—21no—
616C4—21no—
617C4—22no—
618C4—41no—
619C4—41no—
620C4—41no—
621C4—52no—
622C4—101no—
623C4—101no—
624C4—101no—
625C4—201no—
626C4—201no—
627C4—201no—
628C4C2×C3×#70911yescharacteristic
629C4C3×#415011yescharacteristic
630C3#1061143111yescharacteristic, direct product factor, Sylow
631C2—401no—
632C2C3×#6588611yescharacteristic
633C2C3×#6610011yescharacteristic
634C2C3×D5×#13511yescharacteristic
subgroupG/H
centerC22×C3C2×D4×D5
commutator, cosocleC2×C4×C5C24×C3
FrattiniC2×C4C23×C3×D5
FittingC3×C4×C5×Q16C2
socleC22×C3×C5C22×D4
prime radicalC2×C3×D20C23
hypercenterC3×C4×Q16D5
hypocenterC5C3×#3364
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C22×C3 ◁ C3×C42 ◁ C3×C4×Q16

Complements

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

NH ≅ G/Ntype
1. C3×#65903C2semidirect
3. C3×C4×C5×Q16C2semidirect
5. C3×#65471C2semidirect
7. C3×#65311C2semidirect
9. C3×#65166C2semidirect
11. C3×#65081C2semidirect
12. C3×#65079C2semidirect
15. C3×C8×Dic10C2semidirect
16. #10611431C3direct (N × H)
61. #65903C2×C3semidirect
63. C4×C5×Q16C2×C3semidirect
65. #65471C2×C3semidirect
67. #65311C2×C3semidirect
69. #65166C2×C3semidirect
71. #65081C2×C3semidirect
72. #65079C2×C3semidirect
75. C8×Dic10C2×C3semidirect
135. C3×C4×Q16D5semidirect
313. C4×Q16C3×D5semidirect
552. C3×C5#3364semidirect
610. C5C3×#3364semidirect
630. C3#10611431direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#659032
C3×#659022
C3×C4×C5×Q162
C3×#654742
C3×#654712
C3×#653172
C3×#653112
C3×#651792
C3×#651662
C3×#650892
C3×#650812
C3×#650792
C3×#650772
C3×#649862
C3×C8×Dic102
#106114313
C3×#33645