Finite Group Databasebeta

← C3×#27671 #10646278

Subgroups — C3×#27671 #10646278

Order 768.

812 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#436C211yesmaximal, characteristic
2C2×C3×#428C211yesmaximal, characteristic, complemented
3C3×#2487C211yesmaximal, characteristic
4C3×#2485C211yesmaximal, characteristic
5C3×#2088C211yesmaximal, characteristic, complemented
6C3×#2087C211yesmaximal, characteristic, complemented
7C3×#2077C211yesmaximal, characteristic, complemented
8C3×#2075C211yesmaximal, characteristic, complemented
9C3×#1942C211yesmaximal, characteristic, complemented
10C3×#1941C211yesmaximal, characteristic, complemented
11C3×#1825C211yesmaximal, characteristic, complemented
12C3×#1823C211yesmaximal, characteristic, complemented
13C3×#1809C211yesmaximal, characteristic, complemented
14C3×#1809C211yesmaximal, characteristic, complemented
15C3×#1809C211yesmaximal, characteristic, complemented
16#27671C311yesmaximal, characteristic, direct product factor, Sylow
17C22×C3×M16C2211yescharacteristic
18C22×C3×M16C2211yescharacteristic
19C2×C3×C4×D4C2211yescharacteristic
20C2×C3×#117C2211yescharacteristic
21C22×C3×C4⋊C4C2211yescharacteristic
22C3×#436—24no—
23C3×#428—24no—
24C2×C3×#107C2211yescharacteristic
25C2×C3×#107C2211yescharacteristic
26C2×C3×#107C2211yescharacteristic
27C2×C3×#106C2211yescharacteristic
28C2×C3×#106C2211yescharacteristic
29C2×C3×#106C2211yescharacteristic
30C2×C3×C4⋊C8C2211yescharacteristic
31C2×C3×C22⋊C8C2211yescharacteristic
32C2×C3×C22⋊C8C2211yescharacteristic
33C2×C3×C4×C8C2211yescharacteristic
34C3×#400—21no—
35C3×#399—21no—
36C3×#397—21no—
37C3×#394—21no—
38C3×#389C2211yescharacteristic
39C3×#389C2211yescharacteristic
40C3×#389C2211yescharacteristic
41C3×#389C2211yescharacteristic
42C3×#388—21no—
43C3×#387—21no—
44C3×#386—21no—
45C3×#385—21no—
46C3×#380C2211yescharacteristic
47C3×#380C2211yescharacteristic
48C3×#380C2211yescharacteristic
49C3×#380C2211yescharacteristic
50C3×#380C2211yescharacteristic
51C3×#380C2211yescharacteristic
52C3×#340C2211yescharacteristic
53C3×#340C2211yescharacteristic
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#340C2211yescharacteristic
59C3×#340C2211yescharacteristic
60C3×#340C2211yescharacteristic
61C3×#340C2211yescharacteristic
62C2×#436C2×C311yescharacteristic
63C2×#428C2×C311yescharacteristic, complemented
64#2487C2×C311yescharacteristic
65#2485C2×C311yescharacteristic
66#2088C2×C311yescharacteristic, complemented
67#2087C2×C311yescharacteristic, complemented
68#2077C2×C311yescharacteristic, complemented
69#2075C2×C311yescharacteristic, complemented
70#1942C2×C311yescharacteristic, complemented
71#1941C2×C311yescharacteristic, complemented
72#1825C2×C311yescharacteristic, complemented
73#1823C2×C311yescharacteristic, complemented
74#1809C2×C311yescharacteristic, complemented
75#1809C2×C311yescharacteristic, complemented
76#1809C2×C311yescharacteristic, complemented
77C22×C3×D4D411yescharacteristic
78C23×C3×C4—21no—
79C23×C3×C4C2311yescharacteristic
80C23×C3×C4C2311yescharacteristic
81C2×C3×M16—22no—
82C2×C3×M16—22no—
83C2×C3×M16—22no—
84C2×C3×M16—22no—
85C2×C3×M16—22no—
86C2×C3×M16D414yes—
87C22×C3×C8C2311yescharacteristic
88C22×C3×C8C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C22×C3×C8C2311yescharacteristic
91C3×C4×D4—22no—
92C3×C4×D4—22no—
93C3×#117—22no—
94C3×#117—22no—
95C2×C3×C4⋊C4—22no—
96C2×C3×C4⋊C4—22no—
97C2×C3×C4⋊C4—21no—
98C2×C3×C4⋊C4—21no—
99C2×C3×C4⋊C4—21no—
100C2×C3×C4⋊C4—21no—
101C2×C3×C4⋊C4—21no—
102C2×C3×C4⋊C4D411yescharacteristic
103C2×C3×C4⋊C4C2311yescharacteristic
104C2×C3×C4⋊C4C2311yescharacteristic
105C2×C3×C4⋊C4C2311yescharacteristic
106C2×C3×C4⋊C4C2311yescharacteristic
107C2×C3×C4⋊C4C2311yescharacteristic
108C2×C3×C4⋊C4C2311yescharacteristic
109C2×C3×C4⋊C4C2311yescharacteristic
110C2×C3×C4⋊C4C2311yescharacteristic
111C2×C3×C22⋊C4—21no—
112C2×C3×C22⋊C4—21no—
113C2×C3×C22⋊C4—21no—
114C2×C3×C22⋊C4—21no—
115C2×C3×C22⋊C4—21no—
116C2×C3×C22⋊C4—21no—
117C2×C3×C22⋊C4—21no—
118C2×C3×C22⋊C4D411yescharacteristic
119C2×C3×C22⋊C4D411yescharacteristic
120C2×C3×C42—21no—
121C2×C3×C42C2311yescharacteristic
122C3×#107—22no—
123C3×#107—22no—
124C3×#107—22no—
125C3×#106—22no—
126C3×#106—22no—
127C3×#106—22no—
128C3×C4⋊C8—22no—
129C3×C22⋊C8—22no—
130C3×C22⋊C8—22no—
131C3×C4×C8—22no—
132C3×#95—21no—
133C3×#95—21no—
134C3×#95—21no—
135C3×#95—21no—
136C3×#95—21no—
137C3×#95—21no—
138C3×#95—21no—
139C3×#95—21no—
140C3×#95—21no—
141C3×#95—21no—
142C22×M16C22×C311yescharacteristic
143C22×M16C22×C311yescharacteristic
144C2×C4×D4C22×C311yescharacteristic
145C2×#117C22×C311yescharacteristic
146C22×C4⋊C4C22×C311yescharacteristic
147#436—24no—
148#428—24no—
149C2×#107C22×C311yescharacteristic
150C2×#107C22×C311yescharacteristic
151C2×#107C22×C311yescharacteristic
152C2×#106C22×C311yescharacteristic
153C2×#106C22×C311yescharacteristic
154C2×#106C22×C311yescharacteristic
155C2×C4⋊C8C22×C311yescharacteristic
156C2×C22⋊C8C22×C311yescharacteristic
157C2×C22⋊C8C22×C311yescharacteristic
158C2×C4×C8C22×C311yescharacteristic
159#400—21no—
160#399—21no—
161#397—21no—
162#394—21no—
163#389C22×C311yescharacteristic
164#389C22×C311yescharacteristic
165#389C22×C311yescharacteristic
166#389C22×C311yescharacteristic
167#388—21no—
168#387—21no—
169#386—21no—
170#385—21no—
171#380C22×C311yescharacteristic
172#380C22×C311yescharacteristic
173#380C22×C311yescharacteristic
174#380C22×C311yescharacteristic
175#380C22×C311yescharacteristic
176#380C22×C311yescharacteristic
177#340C22×C311yescharacteristic
178#340C22×C311yescharacteristic
179#340C22×C311yescharacteristic
180#340C22×C311yescharacteristic
181#340C22×C311yescharacteristic
182#340C22×C311yescharacteristic
183#340C22×C311yescharacteristic
184#340C22×C311yescharacteristic
185#340C22×C311yescharacteristic
186#340C22×C311yescharacteristic
187C24×C3C2×D411yescharacteristic
188C24×C3C2×D411yescharacteristic
189C2×C3×D4—22no—
190C2×C3×D4—22no—
191C2×C3×D4—41no—
192C22×C3×C4—21no—
193C22×C3×C4—21no—
194C22×C3×C4—21no—
195C22×C3×C4—21no—
196C22×C3×C4—21no—
197C22×C3×C4—21no—
198C22×C3×C4—21no—
199C22×C3×C4—21no—
200C22×C3×C4—21no—
201C22×C3×C4—21no—
202C22×C3×C4—21no—
203C22×C3×C4—21no—
204C22×C3×C4—21no—
205C22×C3×C4—21no—
206C22×C3×C4—21no—
207C22×C3×C4—21no—
208C22×C3×C4—21no—
209C22×C3×C4—21no—
210C22×C3×C4—42no—
211C22×C3×C4—81no—
212C22×C3×C4—81no—
213C22×C3×C4C2×D411yescharacteristic
214C22×C3×C4C2×D411yescharacteristic
215C22×C3×C4C2×D411yescharacteristic
216C22×C3×C4C2×D412yes—
217C22×C3×C4C2×D411yescharacteristic
218C22×C3×C4#4112yes—
219C22×C3×C4C2411yescharacteristic
220C3×M16—28no—
221C3×M16—44no—
222C2×C3×C8—21no—
223C2×C3×C8—21no—
224C2×C3×C8—21no—
225C2×C3×C8—21no—
226C2×C3×C8—21no—
227C2×C3×C8—21no—
228C2×C3×C8—21no—
229C2×C3×C8—21no—
230C2×C3×C8C2×D412yes—
231C2×C3×C8C2×D412yes—
232C2×C3×C8#4112yes—
233C2×C3×C8#4112yes—
234C3×C4⋊C4—22no—
235C3×C4⋊C4—21no—
236C3×C4⋊C4—21no—
237C3×C4⋊C4—21no—
238C3×C4⋊C4—21no—
239C3×C4⋊C4—21no—
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—21no—
251C3×C4⋊C4—42no—
252C3×C4⋊C4—42no—
253C3×C4⋊C4—81no—
254C3×C4⋊C4—81no—
255C3×C4⋊C4—81no—
256C3×C22⋊C4—22no—
257C3×C22⋊C4—22no—
258C3×C22⋊C4—42no—
259C3×C22⋊C4—42no—
260C3×C22⋊C4—42no—
261C3×C22⋊C4—81no—
262C3×C22⋊C4—81no—
263C3×C22⋊C4—81no—
264C3×C22⋊C4—81no—
265C3×C42—21no—
266C3×C42—21no—
267C3×C42—42no—
268C22×D4C3×D411yescharacteristic
269C23×C4—21no—
270C23×C4C23×C311yescharacteristic
271C23×C4C23×C311yescharacteristic
272C2×M16—22no—
273C2×M16—22no—
274C2×M16—22no—
275C2×M16—22no—
276C2×M16—22no—
277C2×M16C3×D414yes—
278C22×C8C23×C311yescharacteristic
279C22×C8C23×C311yescharacteristic
280C22×C8C23×C311yescharacteristic
281C22×C8C23×C311yescharacteristic
282C4×D4—22no—
283C4×D4—22no—
284#117—22no—
285#117—22no—
286C2×C4⋊C4—22no—
287C2×C4⋊C4—22no—
288C2×C4⋊C4—21no—
289C2×C4⋊C4—21no—
290C2×C4⋊C4—21no—
291C2×C4⋊C4—21no—
292C2×C4⋊C4—21no—
293C2×C4⋊C4C3×D411yescharacteristic
294C2×C4⋊C4C23×C311yescharacteristic
295C2×C4⋊C4C23×C311yescharacteristic
296C2×C4⋊C4C23×C311yescharacteristic
297C2×C4⋊C4C23×C311yescharacteristic
298C2×C4⋊C4C23×C311yescharacteristic
299C2×C4⋊C4C23×C311yescharacteristic
300C2×C4⋊C4C23×C311yescharacteristic
301C2×C4⋊C4C23×C311yescharacteristic
302C2×C22⋊C4—21no—
303C2×C22⋊C4—21no—
304C2×C22⋊C4—21no—
305C2×C22⋊C4—21no—
306C2×C22⋊C4—21no—
307C2×C22⋊C4—21no—
308C2×C22⋊C4—21no—
309C2×C22⋊C4C3×D411yescharacteristic
310C2×C22⋊C4C3×D411yescharacteristic
311C2×C42—21no—
312C2×C42C23×C311yescharacteristic
313#107—22no—
314#107—22no—
315#107—22no—
316#106—22no—
317#106—22no—
318#106—22no—
319C4⋊C8—22no—
320C22⋊C8—22no—
321C22⋊C8—22no—
322C4×C8—22no—
323#95—21no—
324#95—21no—
325#95—21no—
326#95—21no—
327#95—21no—
328#95—21no—
329#95—21no—
330#95—21no—
331#95—21no—
332#95—21no—
333C23×C3—21no—
334C23×C3—21no—
335C23×C3—21no—
336C23×C3—21no—
337C23×C3—21no—
338C23×C3—21no—
339C23×C3—21no—
340C23×C3—21no—
341C23×C3—21no—
342C23×C3—21no—
343C23×C3—21no—
344C23×C3—21no—
345C23×C3—21no—
346C23×C3#12112yes—
347C23×C3C22×D411yescharacteristic
348C3×D4—44no—
349C2×C3×C4—21no—
350C2×C3×C4—21no—
351C2×C3×C4—21no—
352C2×C3×C4—21no—
353C2×C3×C4—22no—
354C2×C3×C4—22no—
355C2×C3×C4—22no—
356C2×C3×C4—22no—
357C2×C3×C4—21no—
358C2×C3×C4—21no—
359C2×C3×C4—21no—
360C2×C3×C4—21no—
361C2×C3×C4—21no—
362C2×C3×C4—21no—
363C2×C3×C4—41no—
364C2×C3×C4—41no—
365C2×C3×C4—41no—
366C2×C3×C4—41no—
367C2×C3×C4—41no—
368C2×C3×C4—41no—
369C2×C3×C4—41no—
370C2×C3×C4—41no—
371C2×C3×C4—41no—
372C2×C3×C4—41no—
373C2×C3×C4—41no—
374C2×C3×C4—41no—
375C2×C3×C4—41no—
376C2×C3×C4—41no—
377C2×C3×C4—41no—
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—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—84no—
392C2×C3×C4#12112yes—
393C2×C3×C4#13712yes—
394C2×C3×C4C22×D411yescharacteristic
395C2×C3×C4C2×#4111yescharacteristic
396C2×C3×C4C2×#4111yescharacteristic
397C2×C3×C4C2×#4111yescharacteristic
398C2×C3×C42−1+411yescharacteristic
399C2×C3×C42−1+411yescharacteristic
400C3×C8—22no—
401C3×C8—41no—
402C3×C8—41no—
403C3×C8#12314yes—
404C24C2×C3×D411yescharacteristic
405C24C2×C3×D411yescharacteristic
406C2×D4—22no—
407C2×D4—22no—
408C2×D4—41no—
409C22×C4—21no—
410C22×C4—21no—
411C22×C4—21no—
412C22×C4—21no—
413C22×C4—21no—
414C22×C4—21no—
415C22×C4—21no—
416C22×C4—21no—
417C22×C4—21no—
418C22×C4—21no—
419C22×C4—21no—
420C22×C4—21no—
421C22×C4—21no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—42no—
428C22×C4—81no—
429C22×C4—81no—
430C22×C4C2×C3×D411yescharacteristic
431C22×C4C2×C3×D411yescharacteristic
432C22×C4C2×C3×D411yescharacteristic
433C22×C4C2×C3×D412yes—
434C22×C4C2×C3×D411yescharacteristic
435C22×C4C3×#4112yes—
436C22×C4C24×C311yescharacteristic
437M16—28no—
438M16—44no—
439C2×C8—21no—
440C2×C8—21no—
441C2×C8—21no—
442C2×C8—21no—
443C2×C8—21no—
444C2×C8—21no—
445C2×C8—21no—
446C2×C8—21no—
447C2×C8C2×C3×D412yes—
448C2×C8C2×C3×D412yes—
449C2×C8C3×#4112yes—
450C2×C8C3×#4112yes—
451C4⋊C4—22no—
452C4⋊C4—21no—
453C4⋊C4—21no—
454C4⋊C4—21no—
455C4⋊C4—21no—
456C4⋊C4—21no—
457C4⋊C4—21no—
458C4⋊C4—21no—
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—42no—
469C4⋊C4—42no—
470C4⋊C4—81no—
471C4⋊C4—81no—
472C4⋊C4—81no—
473C22⋊C4—22no—
474C22⋊C4—22no—
475C22⋊C4—42no—
476C22⋊C4—42no—
477C22⋊C4—42no—
478C22⋊C4—81no—
479C22⋊C4—81no—
480C22⋊C4—81no—
481C22⋊C4—81no—
482C42—21no—
483C42—21no—
484C42—42no—
485C22×C3—22no—
486C22×C3—22no—
487C22×C3—22no—
488C22×C3—41no—
489C22×C3—41no—
490C22×C3—41no—
491C22×C3—41no—
492C22×C3—41no—
493C22×C3—41no—
494C22×C3—41no—
495C22×C3—41no—
496C22×C3—41no—
497C22×C3—41no—
498C22×C3—41no—
499C22×C3C2×#12111yescharacteristic
500C22×C3#54711yescharacteristic
501C22×C3#54711yescharacteristic
502C22×C3C2×#13711yescharacteristic
503C22×C3#57511yescharacteristic
504C22×C3#57611yescharacteristic
505C22×C3#57711yescharacteristic
506C3×C4—22no—
507C3×C4—22no—
508C3×C4—41no—
509C3×C4—41no—
510C3×C4—81no—
511C3×C4—81no—
512C3×C4—81no—
513C3×C4—81no—
514C3×C4—81no—
515C3×C4—81no—
516C3×C4—81no—
517C3×C4—81no—
518C3×C4C2×#12311yescharacteristic
519C3×C4#53611yescharacteristic
520C3×C4#55211yescharacteristic
521C3×C4#55211yescharacteristic
522C23—21no—
523C23—21no—
524C23—21no—
525C23—21no—
526C23—21no—
527C23—21no—
528C23—21no—
529C23—21no—
530C23—21no—
531C23—21no—
532C23—21no—
533C23—21no—
534C23—21no—
535C23C3×#12112yes—
536C23C22×C3×D411yescharacteristic
537D4—44no—
538C2×C4—21no—
539C2×C4—21no—
540C2×C4—21no—
541C2×C4—21no—
542C2×C4—22no—
543C2×C4—22no—
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—41no—
553C2×C4—41no—
554C2×C4—41no—
555C2×C4—41no—
556C2×C4—41no—
557C2×C4—41no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—41no—
561C2×C4—41no—
562C2×C4—41no—
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—41no—
580C2×C4—84no—
581C2×C4C3×#12112yes—
582C2×C4C3×#13712yes—
583C2×C4C22×C3×D411yescharacteristic
584C2×C4C2×C3×#4111yescharacteristic
585C2×C4C2×C3×#4111yescharacteristic
586C2×C4C2×C3×#4111yescharacteristic
587C2×C4C3×2−1+411yescharacteristic
588C2×C4C3×2−1+411yescharacteristic
589C8—22no—
590C8—41no—
591C8—41no—
592C8C3×#12314yes—
593C2×C3—42no—
594C2×C3—81no—
595C2×C3#248611yescharacteristic
596C2×C3#305611yescharacteristic
597C2×C3#306211yescharacteristic
598C2×C3#335111yescharacteristic
599C2×C3#335511yescharacteristic
600C2×C3#335611yescharacteristic
601C2×C3#335711yescharacteristic
602C22—22no—
603C22—22no—
604C22—22no—
605C22—41no—
606C22—41no—
607C22—41no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—41no—
612C22—41no—
613C22—41no—
614C22—41no—
615C22—41no—
616C22C2×C3×#12111yescharacteristic
617C22C3×#54711yescharacteristic
618C22C3×#54711yescharacteristic
619C22C2×C3×#13711yescharacteristic
620C22C3×#57511yescharacteristic
621C22C3×#57611yescharacteristic
622C22C3×#57711yescharacteristic
623C4—22no—
624C4—22no—
625C4—41no—
626C4—41no—
627C4—81no—
628C4—81no—
629C4—81no—
630C4—81no—
631C4—81no—
632C4—81no—
633C4—81no—
634C4—81no—
635C4C2×C3×#12311yescharacteristic
636C4C3×#53611yescharacteristic
637C4C3×#55211yescharacteristic
638C4C3×#55211yescharacteristic
639C3#2767111yescharacteristic, direct product factor, Sylow
640C2—42no—
641C2—81no—
642C2C3×#248611yescharacteristic
643C2C3×#305611yescharacteristic
644C2C3×#306211yescharacteristic
645C2C3×#335111yescharacteristic
646C2C3×#335511yescharacteristic
647C2C3×#335611yescharacteristic
648C2C3×#335711yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC22×C3×D4D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C2×C3×C4×D4 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C3×#428C2semidirect
5. C3×#2088C2semidirect
6. C3×#2087C2semidirect
7. C3×#2077C2semidirect
8. C3×#2075C2semidirect
9. C3×#1942C2semidirect
10. C3×#1941C2semidirect
11. C3×#1825C2semidirect
12. C3×#1823C2semidirect
13. C3×#1809C2semidirect
14. C3×#1809C2semidirect
15. C3×#1809C2semidirect
16. #27671C3direct (N × H)
63. C2×#428C2×C3semidirect
66. #2088C2×C3semidirect
67. #2087C2×C3semidirect
68. #2077C2×C3semidirect
69. #2075C2×C3semidirect
70. #1942C2×C3semidirect
71. #1941C2×C3semidirect
72. #1825C2×C3semidirect
73. #1823C2×C3semidirect
74. #1809C2×C3semidirect
75. #1809C2×C3semidirect
76. #1809C2×C3semidirect
639. C3#27671direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#4362
C2×C3×#4282
C3×#24872
C3×#24852
C3×#20882
C3×#20872
C3×#20772
C3×#20752
C3×#19422
C3×#19412
C3×#18252
C3×#18232
C3×#18092
#276713