Finite Group Databasebeta

← C3×#13972 #10632579

Subgroups — C3×#13972 #10632579

Order 768.

1918 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#385C211yesmaximal, characteristic
2C2×C3×#381C211yesmaximal, characteristic
3C2×C3×#381C211yesmaximal, characteristic
4C2×C3×C4×C22⋊C4C211yesmaximal, characteristic
5C22×C3×#95C211yesmaximal, characteristic
6C3×#1443C212yesmaximal, complemented
7C3×#1442C212yesmaximal, complemented
8C3×#1436C212yesmaximal, complemented
9C3×#1434C212yesmaximal, complemented
10C3×C22⋊#95C211yesmaximal, characteristic
11C3×C22⋊#95C211yesmaximal, characteristic
12#13972C311yesmaximal, characteristic, direct product factor, Sylow
13C24×C3×C4C2211yescharacteristic
14C24×C3×C4C2211yescharacteristic
15C24×C3×C4C2211yescharacteristic
16C22×C3×C4⋊C4C2211yescharacteristic
17C22×C3×C4⋊C4C2211yescharacteristic
18C22×C3×C22⋊C4C2211yescharacteristic
19C22×C3×C22⋊C4C2211yescharacteristic
20C22×C3×C22⋊C4C2211yescharacteristic
21C22×C3×C22⋊C4C2211yescharacteristic
22C22×C3×C42C2212yes—
23C3×#385—24no—
24C3×#381—24no—
25C3×#381C418yescomplemented
26C3×C4×C22⋊C4—24no—
27C2×C3×#95—24no—
28C2×C3×#95C2212yes—
29C2×C3×#95C2212yes—
30C2×C3×#95C2212yes—
31C2×C3×#95C2212yes—
32C2×C3×#95C2212yes—
33C2×C3×#95C2211yescharacteristic
34C2×C3×#95C2211yescharacteristic
35C2×C3×#95C2212yes—
36C2×C3×#95C2212yes—
37C2×C3×#95C2212yes—
38C2×C3×#95C2212yes—
39C2×C3×#95C2212yes—
40C2×C3×#95C2212yes—
41C2×#385C2×C311yescharacteristic
42C2×#381C2×C311yescharacteristic
43C2×#381C2×C311yescharacteristic
44C2×C4×C22⋊C4C2×C311yescharacteristic
45C22×#95C2×C311yescharacteristic
46#1443C2×C312yescomplemented
47#1442C2×C312yescomplemented
48#1436C2×C312yescomplemented
49#1434C2×C312yescomplemented
50C22⋊#95C2×C311yescharacteristic
51C22⋊#95C2×C311yescharacteristic
52C25×C3C2311yescharacteristic
53C23×C3×C4—22no—
54C23×C3×C4—22no—
55C23×C3×C4—22no—
56C23×C3×C4—22no—
57C23×C3×C4—22no—
58C23×C3×C4—22no—
59C23×C3×C4—22no—
60C23×C3×C4—22no—
61C23×C3×C4—22no—
62C23×C3×C4—24no—
63C23×C3×C4—24no—
64C23×C3×C4—22no—
65C23×C3×C4—22no—
66C23×C3×C4—42no—
67C23×C3×C4—42no—
68C23×C3×C4C2×C414yes—
69C23×C3×C4D414yes—
70C23×C3×C4C2311yescharacteristic
71C23×C3×C4C2311yescharacteristic
72C23×C3×C4C2312yes—
73C23×C3×C4C2312yes—
74C23×C3×C4C2311yescharacteristic
75C23×C3×C4C2311yescharacteristic
76C23×C3×C4C2311yescharacteristic
77C23×C3×C4C2312yes—
78C23×C3×C4C2312yes—
79C23×C3×C4C2311yescharacteristic
80C2×C3×C4⋊C4—22no—
81C2×C3×C4⋊C4—22no—
82C2×C3×C4⋊C4—24no—
83C2×C3×C4⋊C4—42no—
84C2×C3×C22⋊C4—22no—
85C2×C3×C22⋊C4—22no—
86C2×C3×C22⋊C4—22no—
87C2×C3×C22⋊C4—22no—
88C2×C3×C22⋊C4—22no—
89C2×C3×C22⋊C4—22no—
90C2×C3×C22⋊C4—22no—
91C2×C3×C22⋊C4—22no—
92C2×C3×C22⋊C4—22no—
93C2×C3×C22⋊C4C2×C414yes—
94C2×C3×C22⋊C4C2×C414yes—
95C2×C3×C22⋊C4D414yes—
96C2×C3×C42—24no—
97C2×C3×C42—24no—
98C2×C3×C42—42no—
99C3×#95—24no—
100C3×#95—24no—
101C3×#95—24no—
102C3×#95—24no—
103C3×#95—24no—
104C3×#95—22no—
105C3×#95—22no—
106C3×#95—24no—
107C3×#95—24no—
108C3×#95—42no—
109C3×#95—42no—
110C3×#95C2×C418yescomplemented
111C3×#95C2×C418yescomplemented
112C24×C4C22×C311yescharacteristic
113C24×C4C22×C311yescharacteristic
114C24×C4C22×C311yescharacteristic
115C22×C4⋊C4C22×C311yescharacteristic
116C22×C4⋊C4C22×C311yescharacteristic
117C22×C22⋊C4C22×C311yescharacteristic
118C22×C22⋊C4C22×C311yescharacteristic
119C22×C22⋊C4C22×C311yescharacteristic
120C22×C22⋊C4C22×C311yescharacteristic
121C22×C42C22×C312yes—
122#385—24no—
123#381—24no—
124#381C3×C418yescomplemented
125C4×C22⋊C4—24no—
126C2×#95—24no—
127C2×#95C22×C312yes—
128C2×#95C22×C312yes—
129C2×#95C22×C311yescharacteristic
130C2×#95C22×C312yes—
131C2×#95C22×C312yes—
132C2×#95C22×C312yes—
133C2×#95C22×C312yes—
134C2×#95C22×C312yes—
135C2×#95C22×C311yescharacteristic
136C2×#95C22×C312yes—
137C2×#95C22×C312yes—
138C2×#95C22×C312yes—
139C2×#95C22×C312yes—
140C24×C3—22no—
141C24×C3—22no—
142C24×C3—22no—
143C24×C3—22no—
144C24×C3C22×C412yes—
145C24×C3C2×D412yes—
146C24×C3C2×D412yes—
147C24×C3#4112yes—
148C24×C3#4112yes—
149C24×C3#4112yes—
150C24×C3#4112yes—
151C24×C3C2411yescharacteristic
152C22×C3×C4—21no—
153C22×C3×C4—21no—
154C22×C3×C4—22no—
155C22×C3×C4—28no—
156C22×C3×C4—28no—
157C22×C3×C4—28no—
158C22×C3×C4—28no—
159C22×C3×C4—28no—
160C22×C3×C4—22no—
161C22×C3×C4—22no—
162C22×C3×C4—21no—
163C22×C3×C4—22no—
164C22×C3×C4—22no—
165C22×C3×C4—21no—
166C22×C3×C4—21no—
167C22×C3×C4—22no—
168C22×C3×C4—22no—
169C22×C3×C4—22no—
170C22×C3×C4—22no—
171C22×C3×C4—22no—
172C22×C3×C4—21no—
173C22×C3×C4—21no—
174C22×C3×C4—22no—
175C22×C3×C4—22no—
176C22×C3×C4—22no—
177C22×C3×C4—22no—
178C22×C3×C4—22no—
179C22×C3×C4—22no—
180C22×C3×C4—22no—
181C22×C3×C4—22no—
182C22×C3×C4—21no—
183C22×C3×C4—22no—
184C22×C3×C4—22no—
185C22×C3×C4—22no—
186C22×C3×C4—22no—
187C22×C3×C4—22no—
188C22×C3×C4—22no—
189C22×C3×C4—22no—
190C22×C3×C4—22no—
191C22×C3×C4—22no—
192C22×C3×C4—22no—
193C22×C3×C4—22no—
194C22×C3×C4—22no—
195C22×C3×C4—22no—
196C22×C3×C4—28no—
197C22×C3×C4—21no—
198C22×C3×C4—21no—
199C22×C3×C4—21no—
200C22×C3×C4—21no—
201C22×C3×C4—22no—
202C22×C3×C4—21no—
203C22×C3×C4—21no—
204C22×C3×C4—22no—
205C22×C3×C4—22no—
206C22×C3×C4—22no—
207C22×C3×C4—44no—
208C22×C3×C4—48no—
209C22×C3×C4—48no—
210C22×C3×C4—48no—
211C22×C3×C4—48no—
212C22×C3×C4—44no—
213C22×C3×C4—44no—
214C22×C3×C4—44no—
215C22×C3×C4—44no—
216C22×C3×C4—44no—
217C22×C3×C4—44no—
218C22×C3×C4C22×C412yes—
219C22×C3×C4C22×C414yes—
220C22×C3×C4C22×C412yes—
221C22×C3×C4C22×C414yes—
222C22×C3×C4C2×D414yes—
223C22×C3×C4C2×D412yes—
224C22×C3×C4C2×D412yes—
225C22×C3×C4#4114yes—
226C22×C3×C4#4114yes—
227C3×C4⋊C4—44no—
228C3×C4⋊C4—44no—
229C3×C22⋊C4—28no—
230C3×C22⋊C4—28no—
231C3×C22⋊C4—28no—
232C3×C22⋊C4—44no—
233C3×C42—48no—
234C25C23×C311yescharacteristic
235C23×C4—22no—
236C23×C4—22no—
237C23×C4—22no—
238C23×C4—22no—
239C23×C4—22no—
240C23×C4—22no—
241C23×C4—22no—
242C23×C4—22no—
243C23×C4—22no—
244C23×C4—24no—
245C23×C4—24no—
246C23×C4—22no—
247C23×C4—22no—
248C23×C4—42no—
249C23×C4—42no—
250C23×C4C2×C3×C414yes—
251C23×C4C3×D414yes—
252C23×C4C23×C311yescharacteristic
253C23×C4C23×C311yescharacteristic
254C23×C4C23×C311yescharacteristic
255C23×C4C23×C311yescharacteristic
256C23×C4C23×C312yes—
257C23×C4C23×C312yes—
258C23×C4C23×C312yes—
259C23×C4C23×C311yescharacteristic
260C23×C4C23×C312yes—
261C23×C4C23×C311yescharacteristic
262C2×C4⋊C4—22no—
263C2×C4⋊C4—22no—
264C2×C4⋊C4—24no—
265C2×C4⋊C4—42no—
266C2×C22⋊C4—22no—
267C2×C22⋊C4—22no—
268C2×C22⋊C4—22no—
269C2×C22⋊C4—22no—
270C2×C22⋊C4—22no—
271C2×C22⋊C4—22no—
272C2×C22⋊C4—22no—
273C2×C22⋊C4—22no—
274C2×C22⋊C4—22no—
275C2×C22⋊C4C2×C3×C414yes—
276C2×C22⋊C4C2×C3×C414yes—
277C2×C22⋊C4C3×D414yes—
278C2×C42—24no—
279C2×C42—24no—
280C2×C42—42no—
281#95—24no—
282#95—24no—
283#95—24no—
284#95—24no—
285#95—24no—
286#95—22no—
287#95—22no—
288#95—24no—
289#95—24no—
290#95—42no—
291#95—42no—
292#95C2×C3×C418yescomplemented
293#95C2×C3×C418yescomplemented
294C23×C3—24no—
295C23×C3—24no—
296C23×C3—22no—
297C23×C3—22no—
298C23×C3—24no—
299C23×C3—22no—
300C23×C3—22no—
301C23×C3—24no—
302C23×C3—24no—
303C23×C3—24no—
304C23×C3—24no—
305C23×C3—24no—
306C23×C3—24no—
307C23×C3—24no—
308C23×C3—24no—
309C23×C3—24no—
310C23×C3#11714yes—
311C23×C3C4×D414yes—
312C23×C3C4×D414yes—
313C23×C3#12114yes—
314C23×C3#12314yes—
315C23×C3#12414yes—
316C23×C3#12614yes—
317C23×C3C23×C411yescharacteristic
318C23×C3C22×D411yescharacteristic
319C23×C3C22×D411yescharacteristic
320C23×C3C2×#4111yescharacteristic
321C23×C3C2×#4111yescharacteristic
322C23×C3C2×#4111yescharacteristic
323C23×C3C2×#4111yescharacteristic
324C23×C3C2×#4112yes—
325C23×C3C2×#4112yes—
326C23×C3H(5,𝔽2)12yes—
327C23×C32−1+412yes—
328C2×C3×C4—22no—
329C2×C3×C4—22no—
330C2×C3×C4—24no—
331C2×C3×C4—24no—
332C2×C3×C4—24no—
333C2×C3×C4—22no—
334C2×C3×C4—24no—
335C2×C3×C4—22no—
336C2×C3×C4—24no—
337C2×C3×C4—24no—
338C2×C3×C4—24no—
339C2×C3×C4—24no—
340C2×C3×C4—24no—
341C2×C3×C4—24no—
342C2×C3×C4—22no—
343C2×C3×C4—24no—
344C2×C3×C4—22no—
345C2×C3×C4—24no—
346C2×C3×C4—22no—
347C2×C3×C4—24no—
348C2×C3×C4—24no—
349C2×C3×C4—24no—
350C2×C3×C4—24no—
351C2×C3×C4—416no—
352C2×C3×C4—416no—
353C2×C3×C4—42no—
354C2×C3×C4—41no—
355C2×C3×C4—42no—
356C2×C3×C4—41no—
357C2×C3×C4—42no—
358C2×C3×C4—42no—
359C2×C3×C4—42no—
360C2×C3×C4—42no—
361C2×C3×C4—42no—
362C2×C3×C4—41no—
363C2×C3×C4—42no—
364C2×C3×C4—41no—
365C2×C3×C4—42no—
366C2×C3×C4—42no—
367C2×C3×C4—42no—
368C2×C3×C4—42no—
369C2×C3×C4—42no—
370C2×C3×C4—42no—
371C2×C3×C4—42no—
372C2×C3×C4—42no—
373C2×C3×C4—42no—
374C2×C3×C4—42no—
375C2×C3×C4—42no—
376C2×C3×C4—42no—
377C2×C3×C4—416no—
378C2×C3×C4—41no—
379C2×C3×C4—41no—
380C2×C3×C4—41no—
381C2×C3×C4—41no—
382C2×C3×C4—41no—
383C2×C3×C4—41no—
384C2×C3×C4—42no—
385C2×C3×C4—42no—
386C2×C3×C4—42no—
387C2×C3×C4—42no—
388C2×C3×C4#12314yes—
389C24—22no—
390C24—22no—
391C24—22no—
392C24—22no—
393C24C22×C3×C412yes—
394C24C2×C3×D412yes—
395C24C2×C3×D412yes—
396C24C3×#4112yes—
397C24C3×#4112yes—
398C24C3×#4112yes—
399C24C3×#4112yes—
400C24C24×C311yescharacteristic
401C22×C4—21no—
402C22×C4—21no—
403C22×C4—22no—
404C22×C4—28no—
405C22×C4—28no—
406C22×C4—28no—
407C22×C4—28no—
408C22×C4—28no—
409C22×C4—22no—
410C22×C4—22no—
411C22×C4—21no—
412C22×C4—22no—
413C22×C4—22no—
414C22×C4—21no—
415C22×C4—21no—
416C22×C4—22no—
417C22×C4—22no—
418C22×C4—22no—
419C22×C4—22no—
420C22×C4—22no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—22no—
424C22×C4—22no—
425C22×C4—22no—
426C22×C4—22no—
427C22×C4—22no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—22no—
431C22×C4—21no—
432C22×C4—22no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—22no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—22no—
445C22×C4—28no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—22no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—44no—
457C22×C4—48no—
458C22×C4—48no—
459C22×C4—48no—
460C22×C4—48no—
461C22×C4—44no—
462C22×C4—44no—
463C22×C4—44no—
464C22×C4—44no—
465C22×C4—44no—
466C22×C4—44no—
467C22×C4C22×C3×C412yes—
468C22×C4C22×C3×C414yes—
469C22×C4C22×C3×C412yes—
470C22×C4C22×C3×C414yes—
471C22×C4C2×C3×D414yes—
472C22×C4C2×C3×D412yes—
473C22×C4C2×C3×D412yes—
474C22×C4C3×#4114yes—
475C22×C4C3×#4114yes—
476C4⋊C4—44no—
477C4⋊C4—44no—
478C22⋊C4—28no—
479C22⋊C4—28no—
480C22⋊C4—28no—
481C22⋊C4—44no—
482C42—48no—
483C22×C3—24no—
484C22×C3—24no—
485C22×C3—28no—
486C22×C3—28no—
487C22×C3—24no—
488C22×C3—24no—
489C22×C3—28no—
490C22×C3—28no—
491C22×C3—24no—
492C22×C3—24no—
493C22×C3#38818yes—
494C22×C3C2×#11711yescharacteristic
495C22×C3C2×C4×D411yescharacteristic
496C22×C3C2×C4×D411yescharacteristic
497C22×C3C4×#4112yes—
498C22×C3#52012yes—
499C22×C3C2×#12111yescharacteristic
500C22×C3C2×#12311yescharacteristic
501C22×C3C2×#12311yescharacteristic
502C22×C3#52511yescharacteristic
503C22×C3C2×#12411yescharacteristic
504C22×C3C2×#12611yescharacteristic
505C22×C3#52912yes—
506C22×C3#53411yescharacteristic
507C22×C3#53611yescharacteristic
508C22×C3#53912yes—
509C22×C3#54612yes—
510C22×C3#54712yes—
511C22×C3#55112yes—
512C22×C3#55112yes—
513C22×C3#55112yes—
514C22×C3#55212yes—
515C22×C3#55212yes—
516C22×C3#55212yes—
517C3×C4—24no—
518C3×C4—44no—
519C3×C4—42no—
520C3×C4—44no—
521C3×C4—42no—
522C3×C4—44no—
523C3×C4—44no—
524C3×C4—42no—
525C3×C4—81no—
526C3×C4—81no—
527C23—24no—
528C23—24no—
529C23—22no—
530C23—22no—
531C23—24no—
532C23—22no—
533C23—22no—
534C23—24no—
535C23—24no—
536C23—24no—
537C23—24no—
538C23—24no—
539C23—24no—
540C23—24no—
541C23—24no—
542C23—24no—
543C23C3×#11714yes—
544C23C3×C4×D414yes—
545C23C3×C4×D414yes—
546C23C3×#12114yes—
547C23C3×#12314yes—
548C23C3×#12414yes—
549C23C3×#12614yes—
550C23C23×C3×C411yescharacteristic
551C23C22×C3×D411yescharacteristic
552C23C22×C3×D411yescharacteristic
553C23C2×C3×#4111yescharacteristic
554C23C2×C3×#4111yescharacteristic
555C23C2×C3×#4111yescharacteristic
556C23C2×C3×#4111yescharacteristic
557C23C2×C3×#4112yes—
558C23C2×C3×#4112yes—
559C23C3×H(5,𝔽2)12yes—
560C23C3×2−1+412yes—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—24no—
564C2×C4—24no—
565C2×C4—24no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—24no—
569C2×C4—24no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—24no—
573C2×C4—24no—
574C2×C4—24no—
575C2×C4—22no—
576C2×C4—24no—
577C2×C4—22no—
578C2×C4—24no—
579C2×C4—22no—
580C2×C4—24no—
581C2×C4—24no—
582C2×C4—24no—
583C2×C4—24no—
584C2×C4—416no—
585C2×C4—416no—
586C2×C4—416no—
587C2×C4—42no—
588C2×C4—41no—
589C2×C4—42no—
590C2×C4—41no—
591C2×C4—42no—
592C2×C4—42no—
593C2×C4—42no—
594C2×C4—42no—
595C2×C4—42no—
596C2×C4—41no—
597C2×C4—42no—
598C2×C4—41no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—42no—
609C2×C4—42no—
610C2×C4—42no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—42no—
618C2×C4—42no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4C3×#12314yes—
622C2×C3—28no—
623C2×C3C2×#38811yescharacteristic
624C2×C3C4×#12311yescharacteristic
625C2×C3#232211yescharacteristic
626C2×C3#234312yes—
627C2×C3#235912yes—
628C2×C3#241211yescharacteristic
629C2×C3#241311yescharacteristic
630C2×C3#241912yes—
631C2×C3#249312yes—
632C2×C3#250311yescharacteristic
633C2×C3#256111yescharacteristic
634C22—24no—
635C22—24no—
636C22—28no—
637C22—28no—
638C22—24no—
639C22—24no—
640C22—24no—
641C22—24no—
642C22—28no—
643C22—28no—
644C22C3×#38818yes—
645C22C2×C3×#11711yescharacteristic
646C22C2×C3×C4×D411yescharacteristic
647C22C2×C3×C4×D411yescharacteristic
648C22C3×C4×#4112yes—
649C22C3×#52012yes—
650C22C2×C3×#12111yescharacteristic
651C22C2×C3×#12311yescharacteristic
652C22C2×C3×#12311yescharacteristic
653C22C3×#52511yescharacteristic
654C22C2×C3×#12411yescharacteristic
655C22C2×C3×#12611yescharacteristic
656C22C3×#52912yes—
657C22C3×#53411yescharacteristic
658C22C3×#53611yescharacteristic
659C22C3×#53912yes—
660C22C3×#54612yes—
661C22C3×#54712yes—
662C22C3×#55112yes—
663C22C3×#55112yes—
664C22C3×#55112yes—
665C22C3×#55212yes—
666C22C3×#55212yes—
667C22C3×#55212yes—
668C4—24no—
669C4—42no—
670C4—44no—
671C4—44no—
672C4—42no—
673C4—44no—
674C4—42no—
675C4—44no—
676C4—81no—
677C4—81no—
678C3#1397211yescharacteristic, direct product factor, Sylow
679C2—28no—
680C2C2×C3×#38811yescharacteristic
681C2C3×C4×#12311yescharacteristic
682C2C3×#232211yescharacteristic
683C2C3×#234312yes—
684C2C3×#235912yes—
685C2C3×#241211yescharacteristic
686C2C3×#241311yescharacteristic
687C2C3×#241912yes—
688C2C3×#249312yes—
689C2C3×#250311yescharacteristic
690C2C3×#256111yescharacteristic
subgroupG/H
center, socleC24×C3C24
commutatorC23C23×C3×C4
Frattini, cosocleC24C24×C3
prime radicalC25×C3C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C3 ◁ G

Complements

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

NH ≅ G/Ntype
6. C3×#1443C2semidirect
7. C3×#1442C2semidirect
8. C3×#1436C2semidirect
9. C3×#1434C2semidirect
12. #13972C3direct (N × H)
25. C3×#381C4semidirect
46. #1443C2×C3semidirect
47. #1442C2×C3semidirect
48. #1436C2×C3semidirect
49. #1434C2×C3semidirect
110. C3×#95C2×C4semidirect
111. C3×#95C2×C4semidirect
124. #381C3×C4semidirect
292. #95C2×C3×C4semidirect
293. #95C2×C3×C4semidirect
678. C3#13972direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#3852
C2×C3×#3812
C2×C3×C4×C22⋊C42
C22×C3×#952
C3×#14432
C3×#14422
C3×#14362
C3×#14342
C3×C22⋊#952
#139723