Finite Group Databasebeta

← C3×#26385 #10644992

Subgroups — C3×#26385 #10644992

Order 768.

850 conjugacy classes of subgroups.

The subgroup lattice has 640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#475C211yesmaximal, characteristic, complemented
2C2×C3×#440C211yesmaximal, characteristic
3C3×#2452C211yesmaximal, characteristic
4C3×#2351C211yesmaximal, characteristic, complemented
5C3×#2092C211yesmaximal, characteristic
6C3×#2085C211yesmaximal, characteristic, complemented
7C3×#2067C211yesmaximal, characteristic
8C3×#2057C211yesmaximal, characteristic, complemented
9C3×#1943C211yesmaximal, characteristic, complemented
10C3×#1917C211yesmaximal, characteristic, complemented
11C3×#1880C211yesmaximal, characteristic
12C3×#1880C211yesmaximal, characteristic
13C3×#1864C211yesmaximal, characteristic
14C3×#1863C211yesmaximal, characteristic, complemented
15C3×#1863C211yesmaximal, characteristic, complemented
16#26385C311yesmaximal, characteristic, direct product factor, Sylow
17C22×C3×SD16C2211yescharacteristic
18C2×C3×C4⋊Q8C2211yescharacteristic
19C2×C3×C22⋊Q8—21no—
20C2×C3×C4×Q8C2211yescharacteristic
21C2×C3×C4×Q8C2211yescharacteristic
22C2×C3×C4×Q8C2211yescharacteristic
23C2×C3×C4×D4C2211yescharacteristic
24C3×#475—24no—
25C3×#440—24no—
26C2×C3×#107C2211yescharacteristic
27C2×C3×#107C2211yescharacteristic
28C2×C3×#107C2211yescharacteristic
29C2×C3×#106C2211yescharacteristic
30C2×C3×#106C2211yescharacteristic
31C2×C3×C4⋊C8C2211yescharacteristic
32C2×C3×#103C2211yescharacteristic
33C2×C3×#103C2211yescharacteristic
34C2×C3×#103C2211yescharacteristic
35C2×C3×#102C2211yescharacteristic
36C2×C3×#102C2211yescharacteristic
37C2×C3×#102C2211yescharacteristic
38C2×C3×#97C2211yescharacteristic
39C3×#396—21no—
40C3×#393—21no—
41C3×#390C2211yescharacteristic
42C3×#390C2211yescharacteristic
43C3×#389—21no—
44C3×#389—21no—
45C3×#389C2211yescharacteristic
46C3×#389C2211yescharacteristic
47C3×#389C2211yescharacteristic
48C3×#389C2211yescharacteristic
49C3×#385—21no—
50C3×#382—21no—
51C3×#382C2211yescharacteristic
52C3×C4×C4⋊C4—21no—
53C3×C4×C4⋊C4C2211yescharacteristic
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#336C2211yescharacteristic
59C3×#336C2211yescharacteristic
60C3×#336C2211yescharacteristic
61C3×#336C2211yescharacteristic
62C2×#475C2×C311yescharacteristic, complemented
63C2×#440C2×C311yescharacteristic
64#2452C2×C311yescharacteristic
65#2351C2×C311yescharacteristic, complemented
66#2092C2×C311yescharacteristic
67#2085C2×C311yescharacteristic, complemented
68#2067C2×C311yescharacteristic
69#2057C2×C311yescharacteristic, complemented
70#1943C2×C311yescharacteristic, complemented
71#1917C2×C311yescharacteristic, complemented
72#1880C2×C311yescharacteristic
73#1880C2×C311yescharacteristic
74#1864C2×C311yescharacteristic
75#1863C2×C311yescharacteristic, complemented
76#1863C2×C311yescharacteristic, complemented
77C22×C3×Q8—21no—
78C22×C3×Q8C2311yescharacteristic
79C22×C3×D4C2311yescharacteristic
80C23×C3×C4—21no—
81C2×C3×SD16—22no—
82C2×C3×SD16—22no—
83C2×C3×SD16Q814yescomplemented
84C22×C3×C8C2311yescharacteristic
85C22×C3×C8C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C22×C3×C8C2311yescharacteristic
88C3×C4⋊Q8—22no—
89C3×C4⋊Q8—41no—
90C3×C22⋊Q8—44no—
91C3×C4×Q8—22no—
92C3×C4×Q8—22no—
93C3×C4×Q8—22no—
94C3×C4×Q8—22no—
95C3×C4×Q8—41no—
96C3×C4×Q8—41no—
97C3×C4×D4—22no—
98C3×C4×D4—41no—
99C2×C3×C4⋊C4—21no—
100C2×C3×C4⋊C4—21no—
101C2×C3×C4⋊C4—21no—
102C2×C3×C4⋊C4—21no—
103C2×C3×C4⋊C4—21no—
104C2×C3×C4⋊C4—21no—
105C2×C3×C4⋊C4—21no—
106C2×C3×C4⋊C4—21no—
107C2×C3×C4⋊C4D411yescharacteristic
108C2×C3×C4⋊C4D411yescharacteristic
109C2×C3×C4⋊C4C2311yescharacteristic
110C2×C3×C4⋊C4C2311yescharacteristic
111C2×C3×C4⋊C4C2311yescharacteristic
112C2×C3×C4⋊C4C2311yescharacteristic
113C2×C3×C4⋊C4C2311yescharacteristic
114C2×C3×C4⋊C4C2311yescharacteristic
115C2×C3×C22⋊C4—21no—
116C2×C3×C22⋊C4—21no—
117C2×C3×C22⋊C4—21no—
118C2×C3×C22⋊C4—21no—
119C2×C3×C22⋊C4—21no—
120C2×C3×C42—21no—
121C2×C3×C42—21no—
122C2×C3×C42—21no—
123C2×C3×C42C2311yescharacteristic
124C2×C3×C42C2311yescharacteristic
125C2×C3×C42C2311yescharacteristic
126C3×#107—22no—
127C3×#107—22no—
128C3×#107—41no—
129C3×#106—22no—
130C3×#106—22no—
131C3×C4⋊C8—22no—
132C3×#103—22no—
133C3×#103—22no—
134C3×#103D414yes—
135C3×#102—22no—
136C3×#102—22no—
137C3×#102—41no—
138C3×#97—22no—
139C3×#95—21no—
140C3×#95—21no—
141C3×#95—21no—
142C3×#95—21no—
143C3×#95—21no—
144C3×#95—21no—
145C3×#95D411yescharacteristic
146C3×#95D411yescharacteristic
147C22×SD16C22×C311yescharacteristic
148C2×C4⋊Q8C22×C311yescharacteristic
149C2×C22⋊Q8—21no—
150C2×C4×Q8C22×C311yescharacteristic
151C2×C4×Q8C22×C311yescharacteristic
152C2×C4×Q8C22×C311yescharacteristic
153C2×C4×D4C22×C311yescharacteristic
154#475—24no—
155#440—24no—
156C2×#107C22×C311yescharacteristic
157C2×#107C22×C311yescharacteristic
158C2×#107C22×C311yescharacteristic
159C2×#106C22×C311yescharacteristic
160C2×#106C22×C311yescharacteristic
161C2×C4⋊C8C22×C311yescharacteristic
162C2×#103C22×C311yescharacteristic
163C2×#103C22×C311yescharacteristic
164C2×#103C22×C311yescharacteristic
165C2×#102C22×C311yescharacteristic
166C2×#102C22×C311yescharacteristic
167C2×#102C22×C311yescharacteristic
168C2×#97C22×C311yescharacteristic
169#396—21no—
170#393—21no—
171#390C22×C311yescharacteristic
172#390C22×C311yescharacteristic
173#389—21no—
174#389—21no—
175#389C22×C311yescharacteristic
176#389C22×C311yescharacteristic
177#389C22×C311yescharacteristic
178#389C22×C311yescharacteristic
179#385—21no—
180#382—21no—
181#382C22×C311yescharacteristic
182C4×C4⋊C4—21no—
183C4×C4⋊C4C22×C311yescharacteristic
184#340C22×C311yescharacteristic
185#340C22×C311yescharacteristic
186#340C22×C311yescharacteristic
187#340C22×C311yescharacteristic
188#336C22×C311yescharacteristic
189#336C22×C311yescharacteristic
190#336C22×C311yescharacteristic
191#336C22×C311yescharacteristic
192C24×C3—21no—
193C2×C3×Q8—21no—
194C2×C3×Q8—21no—
195C2×C3×Q8—21no—
196C2×C3×Q8—42no—
197C2×C3×Q8—42no—
198C2×C3×Q8—81no—
199C2×C3×Q8C2×D412yes—
200C2×C3×Q8C2×Q812yes—
201C2×C3×Q8#4112yes—
202C2×C3×D4—21no—
203C2×C3×D4—21no—
204C2×C3×D4—21no—
205C2×C3×D4—21no—
206C2×C3×D4—21no—
207C2×C3×D4C2×Q812yes—
208C22×C3×C4—21no—
209C22×C3×C4—21no—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4—21no—
213C22×C3×C4—21no—
214C22×C3×C4—21no—
215C22×C3×C4—42no—
216C22×C3×C4—42no—
217C22×C3×C4—81no—
218C22×C3×C4C2×D411yescharacteristic
219C22×C3×C4C2×D411yescharacteristic
220C22×C3×C4C2×D411yescharacteristic
221C22×C3×C4C2×D411yescharacteristic
222C22×C3×C4C2×D411yescharacteristic
223C22×C3×C4C2×D411yescharacteristic
224C22×C3×C4C2411yescharacteristic
225C3×SD16—28no—
226C2×C3×C8—21no—
227C2×C3×C8—21no—
228C2×C3×C8—21no—
229C2×C3×C8—21no—
230C2×C3×C8—21no—
231C2×C3×C8—21no—
232C2×C3×C8—21no—
233C2×C3×C8—21no—
234C2×C3×C8—21no—
235C2×C3×C8—21no—
236C2×C3×C8C2×D412yes—
237C2×C3×C8C2×Q812yes—
238C3×C4⋊C4—24no—
239C3×C4⋊C4—22no—
240C3×C4⋊C4—21no—
241C3×C4⋊C4—21no—
242C3×C4⋊C4—21no—
243C3×C4⋊C4—21no—
244C3×C4⋊C4—21no—
245C3×C4⋊C4—21no—
246C3×C4⋊C4—21no—
247C3×C4⋊C4—21no—
248C3×C4⋊C4—21no—
249C3×C4⋊C4—21no—
250C3×C4⋊C4—41no—
251C3×C4⋊C4—42no—
252C3×C4⋊C4—42no—
253C3×C4⋊C4—42no—
254C3×C4⋊C4—42no—
255C3×C4⋊C4—42no—
256C3×C4⋊C4—42no—
257C3×C4⋊C4—42no—
258C3×C4⋊C4C2×D412yes—
259C3×C4⋊C4#4112yes—
260C3×C22⋊C4—42no—
261C3×C22⋊C4—42no—
262C3×C22⋊C4—42no—
263C3×C22⋊C4—42no—
264C3×C22⋊C4—81no—
265C3×C42—24no—
266C3×C42—21no—
267C3×C42—21no—
268C3×C42—21no—
269C3×C42—21no—
270C3×C42—21no—
271C3×C42—21no—
272C3×C42—42no—
273C3×C42—42no—
274C22×Q8—21no—
275C22×Q8C23×C311yescharacteristic
276C22×D4C23×C311yescharacteristic
277C23×C4—21no—
278C2×SD16—22no—
279C2×SD16—22no—
280C2×SD16C3×Q814yescomplemented
281C22×C8C23×C311yescharacteristic
282C22×C8C23×C311yescharacteristic
283C22×C8C23×C311yescharacteristic
284C22×C8C23×C311yescharacteristic
285C4⋊Q8—22no—
286C4⋊Q8—41no—
287C22⋊Q8—44no—
288C4×Q8—22no—
289C4×Q8—22no—
290C4×Q8—22no—
291C4×Q8—22no—
292C4×Q8—41no—
293C4×Q8—41no—
294C4×D4—22no—
295C4×D4—41no—
296C2×C4⋊C4—21no—
297C2×C4⋊C4—21no—
298C2×C4⋊C4—21no—
299C2×C4⋊C4—21no—
300C2×C4⋊C4—21no—
301C2×C4⋊C4—21no—
302C2×C4⋊C4—21no—
303C2×C4⋊C4—21no—
304C2×C4⋊C4C3×D411yescharacteristic
305C2×C4⋊C4C3×D411yescharacteristic
306C2×C4⋊C4C23×C311yescharacteristic
307C2×C4⋊C4C23×C311yescharacteristic
308C2×C4⋊C4C23×C311yescharacteristic
309C2×C4⋊C4C23×C311yescharacteristic
310C2×C4⋊C4C23×C311yescharacteristic
311C2×C4⋊C4C23×C311yescharacteristic
312C2×C22⋊C4—21no—
313C2×C22⋊C4—21no—
314C2×C22⋊C4—21no—
315C2×C22⋊C4—21no—
316C2×C22⋊C4—21no—
317C2×C42—21no—
318C2×C42—21no—
319C2×C42—21no—
320C2×C42C23×C311yescharacteristic
321C2×C42C23×C311yescharacteristic
322C2×C42C23×C311yescharacteristic
323#107—22no—
324#107—22no—
325#107—41no—
326#106—22no—
327#106—22no—
328C4⋊C8—22no—
329#103—22no—
330#103—22no—
331#103C3×D414yes—
332#102—22no—
333#102—22no—
334#102—41no—
335#97—22no—
336#95—21no—
337#95—21no—
338#95—21no—
339#95—21no—
340#95—21no—
341#95—21no—
342#95C3×D411yescharacteristic
343#95C3×D411yescharacteristic
344C23×C3—22no—
345C23×C3—41no—
346C23×C3—41no—
347C23×C3—41no—
348C23×C3—41no—
349C23×C3—41no—
350C23×C3—41no—
351C23×C3C22×D411yescharacteristic
352C3×Q8—22no—
353C3×Q8—22no—
354C3×Q8—22no—
355C3×Q8—84no—
356C3×Q8C22⋊Q814yescomplemented
357C3×D4—22no—
358C3×D4—22no—
359C3×D4—41no—
360C3×D4—41no—
361C2×C3×C4—22no—
362C2×C3×C4—21no—
363C2×C3×C4—22no—
364C2×C3×C4—22no—
365C2×C3×C4—21no—
366C2×C3×C4—21no—
367C2×C3×C4—21no—
368C2×C3×C4—22no—
369C2×C3×C4—21no—
370C2×C3×C4—21no—
371C2×C3×C4—21no—
372C2×C3×C4—22no—
373C2×C3×C4—21no—
374C2×C3×C4—21no—
375C2×C3×C4—21no—
376C2×C3×C4—21no—
377C2×C3×C4—21no—
378C2×C3×C4—21no—
379C2×C3×C4—21no—
380C2×C3×C4—21no—
381C2×C3×C4—21no—
382C2×C3×C4—21no—
383C2×C3×C4—41no—
384C2×C3×C4—41no—
385C2×C3×C4—41no—
386C2×C3×C4—41no—
387C2×C3×C4—41no—
388C2×C3×C4—41no—
389C2×C3×C4—41no—
390C2×C3×C4—41no—
391C2×C3×C4—41no—
392C2×C3×C4—41no—
393C2×C3×C4—41no—
394C2×C3×C4—41no—
395C2×C3×C4—41no—
396C2×C3×C4—41no—
397C2×C3×C4—41no—
398C2×C3×C4—41no—
399C2×C3×C4—84no—
400C2×C3×C4AGL(1,ℤ/8)12yes—
401C2×C3×C4C22×D411yescharacteristic
402C2×C3×C4C22×Q811yescharacteristic
403C2×C3×C4C2×#4111yescharacteristic
404C2×C3×C4C2×#4111yescharacteristic
405C2×C3×C4H(5,𝔽2)11yescharacteristic
406C2×C3×C42−1+411yescharacteristic
407C3×C8—22no—
408C3×C8—22no—
409C3×C8—41no—
410C3×C8—41no—
411C24—21no—
412C2×Q8—21no—
413C2×Q8—21no—
414C2×Q8—21no—
415C2×Q8—42no—
416C2×Q8—42no—
417C2×Q8—81no—
418C2×Q8C2×C3×D412yes—
419C2×Q8C2×C3×Q812yes—
420C2×Q8C3×#4112yes—
421C2×D4—21no—
422C2×D4—21no—
423C2×D4—21no—
424C2×D4—21no—
425C2×D4—21no—
426C2×D4C2×C3×Q812yes—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—21no—
434C22×C4—42no—
435C22×C4—42no—
436C22×C4—81no—
437C22×C4C2×C3×D411yescharacteristic
438C22×C4C2×C3×D411yescharacteristic
439C22×C4C2×C3×D411yescharacteristic
440C22×C4C2×C3×D411yescharacteristic
441C22×C4C2×C3×D411yescharacteristic
442C22×C4C2×C3×D411yescharacteristic
443C22×C4C24×C311yescharacteristic
444SD16—28no—
445C2×C8—21no—
446C2×C8—21no—
447C2×C8—21no—
448C2×C8—21no—
449C2×C8—21no—
450C2×C8—21no—
451C2×C8—21no—
452C2×C8—21no—
453C2×C8—21no—
454C2×C8—21no—
455C2×C8C2×C3×D412yes—
456C2×C8C2×C3×Q812yes—
457C4⋊C4—24no—
458C4⋊C4—22no—
459C4⋊C4—21no—
460C4⋊C4—21no—
461C4⋊C4—21no—
462C4⋊C4—21no—
463C4⋊C4—21no—
464C4⋊C4—21no—
465C4⋊C4—21no—
466C4⋊C4—21no—
467C4⋊C4—21no—
468C4⋊C4—21no—
469C4⋊C4—41no—
470C4⋊C4—42no—
471C4⋊C4—42no—
472C4⋊C4—42no—
473C4⋊C4—42no—
474C4⋊C4—42no—
475C4⋊C4—42no—
476C4⋊C4—42no—
477C4⋊C4C2×C3×D412yes—
478C4⋊C4C3×#4112yes—
479C22⋊C4—42no—
480C22⋊C4—42no—
481C22⋊C4—42no—
482C22⋊C4—42no—
483C22⋊C4—81no—
484C42—24no—
485C42—21no—
486C42—21no—
487C42—21no—
488C42—21no—
489C42—21no—
490C42—21no—
491C42—42no—
492C42—42no—
493C22×C3—42no—
494C22×C3—42no—
495C22×C3—42no—
496C22×C3—81no—
497C22×C3—81no—
498C22×C3—81no—
499C22×C3—81no—
500C22×C3#52511yescharacteristic
501C22×C3D4211yescharacteristic
502C22×C3D4×Q811yescharacteristic
503C22×C3C2×AGL(1,ℤ/8)11yescharacteristic
504C22×C3#57511yescharacteristic
505C22×C3#57711yescharacteristic
506C22×C3#57811yescharacteristic
507C3×C4—24no—
508C3×C4—22no—
509C3×C4—41no—
510C3×C4—42no—
511C3×C4—41no—
512C3×C4—41no—
513C3×C4—42no—
514C3×C4—41no—
515C3×C4—41no—
516C3×C4—81no—
517C3×C4—81no—
518C3×C4—81no—
519C3×C4—81no—
520C3×C4C2×C22⋊Q811yescharacteristic
521C3×C4#53911yescharacteristic
522C3×C4#54711yescharacteristic
523C3×C4#55411yescharacteristic
524C23—22no—
525C23—41no—
526C23—41no—
527C23—41no—
528C23—41no—
529C23—41no—
530C23—41no—
531C23C22×C3×D411yescharacteristic
532Q8—22no—
533Q8—22no—
534Q8—22no—
535Q8—84no—
536Q8C3×C22⋊Q814yescomplemented
537D4—22no—
538D4—22no—
539D4—41no—
540D4—41no—
541C2×C4—21no—
542C2×C4—22no—
543C2×C4—21no—
544C2×C4—22no—
545C2×C4—22no—
546C2×C4—21no—
547C2×C4—21no—
548C2×C4—21no—
549C2×C4—21no—
550C2×C4—21no—
551C2×C4—21no—
552C2×C4—21no—
553C2×C4—21no—
554C2×C4—21no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—22no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—22no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—41no—
579C2×C4—84no—
580C2×C4C3×AGL(1,ℤ/8)12yes—
581C2×C4C22×C3×D411yescharacteristic
582C2×C4C22×C3×Q811yescharacteristic
583C2×C4C2×C3×#4111yescharacteristic
584C2×C4C2×C3×#4111yescharacteristic
585C2×C4C3×H(5,𝔽2)11yescharacteristic
586C2×C4C3×2−1+411yescharacteristic
587C8—22no—
588C8—22no—
589C8—41no—
590C8—41no—
591C2×C3—82no—
592C2×C3#244911yescharacteristic
593C2×C3#311511yescharacteristic
594C2×C3#312111yescharacteristic
595C2×C3#326511yescharacteristic
596C2×C3#327711yescharacteristic
597C2×C3#338611yescharacteristic
598C2×C3#338811yescharacteristic
599C22—42no—
600C22—42no—
601C22—42no—
602C22—81no—
603C22—81no—
604C22—81no—
605C22—81no—
606C22C3×#52511yescharacteristic
607C22C3×D4211yescharacteristic
608C22C3×D4×Q811yescharacteristic
609C22C2×C3×AGL(1,ℤ/8)11yescharacteristic
610C22C3×#57511yescharacteristic
611C22C3×#57711yescharacteristic
612C22C3×#57811yescharacteristic
613C4—24no—
614C4—22no—
615C4—41no—
616C4—42no—
617C4—41no—
618C4—41no—
619C4—41no—
620C4—42no—
621C4—41no—
622C4—81no—
623C4—81no—
624C4—81no—
625C4—81no—
626C4C2×C3×C22⋊Q811yescharacteristic
627C4C3×#53911yescharacteristic
628C4C3×#54711yescharacteristic
629C4C3×#55411yescharacteristic
630C3#2638511yescharacteristic, direct product factor, Sylow
631C2—82no—
632C2C3×#244911yescharacteristic
633C2C3×#311511yescharacteristic
634C2C3×#312111yescharacteristic
635C2C3×#326511yescharacteristic
636C2C3×#327711yescharacteristic
637C2C3×#338611yescharacteristic
638C2C3×#338811yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC22×C3×D4C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C3×C4×C4⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C3×#475C2semidirect
4. C3×#2351C2semidirect
6. C3×#2085C2semidirect
8. C3×#2057C2semidirect
9. C3×#1943C2semidirect
10. C3×#1917C2semidirect
14. C3×#1863C2semidirect
15. C3×#1863C2semidirect
16. #26385C3direct (N × H)
62. C2×#475C2×C3semidirect
65. #2351C2×C3semidirect
67. #2085C2×C3semidirect
69. #2057C2×C3semidirect
70. #1943C2×C3semidirect
71. #1917C2×C3semidirect
75. #1863C2×C3semidirect
76. #1863C2×C3semidirect
83. C2×C3×SD16Q8semidirect
280. C2×SD16C3×Q8semidirect
356. C3×Q8C22⋊Q8semidirect
536. Q8C3×C22⋊Q8semidirect
630. C3#26385direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#4752
C2×C3×#4402
C3×#24522
C3×#23512
C3×#20922
C3×#20852
C3×#20672
C3×#20572
C3×#19432
C3×#19172
C3×#18802
C3×#18642
C3×#18632
#263853