Finite Group Databasebeta

← C3×#26799 #10645406

Subgroups — C3×#26799 #10645406

Order 768.

854 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#485C211yesmaximal, characteristic, complemented
2C2×C3×#474C211yesmaximal, characteristic, complemented
3C3×#2492C211yesmaximal, characteristic, complemented
4C3×#2363C211yesmaximal, characteristic
5C3×#2068C211yesmaximal, characteristic, complemented
6C3×#2058C211yesmaximal, characteristic, complemented
7C3×#2033C211yesmaximal, characteristic
8C3×#2000C211yesmaximal, characteristic
9C3×#1968C211yesmaximal, characteristic, complemented
10C3×#1928C211yesmaximal, characteristic, complemented
11C3×#1926C211yesmaximal, characteristic, complemented
12C3×#1923C211yesmaximal, characteristic, complemented
13C3×#1877C211yesmaximal, characteristic, complemented
14C3×#1854C211yesmaximal, characteristic, complemented
15C3×C4×#107C211yesmaximal, characteristic, complemented
16#26799C311yesmaximal, characteristic, direct product factor, Sylow
17C22×C3×SD16C2211yescharacteristic
18C2×C3×C4⋊Q8C2211yescharacteristic
19C2×C3×C22⋊Q8C2211yescharacteristic
20C2×C3×#121C2211yescharacteristic
21C2×C3×C4×D4C2211yescharacteristic
22C2×C3×#117C2211yescharacteristic
23C3×#485—24no—
24C3×#474—24no—
25C2×C3×#107C2211yescharacteristic
26C2×C3×#107C2211yescharacteristic
27C2×C3×#107C2211yescharacteristic
28C2×C3×#106C2211yescharacteristic
29C2×C3×#106C2211yescharacteristic
30C2×C3×C4⋊C8C2211yescharacteristic
31C2×C3×#103C2211yescharacteristic
32C2×C3×#103C2211yescharacteristic
33C2×C3×#103C2211yescharacteristic
34C2×C3×#102C2211yescharacteristic
35C2×C3×#102C2211yescharacteristic
36C2×C3×#102C2211yescharacteristic
37C2×C3×C22⋊C8C2211yescharacteristic
38C2×C3×C22⋊C8C2211yescharacteristic
39C2×C3×C4×C8C2211yescharacteristic
40C3×#400—21no—
41C3×#393—21no—
42C3×#391—21no—
43C3×#391C2211yescharacteristic
44C3×#391C2211yescharacteristic
45C3×#390—21no—
46C3×#390C2211yescharacteristic
47C3×#389C2211yescharacteristic
48C3×#388—21no—
49C3×#388—21no—
50C3×#386—21no—
51C3×#380C2211yescharacteristic
52C3×C4×C4⋊C4C2211yescharacteristic
53C3×C4×C4⋊C4C2211yescharacteristic
54C3×C4×C22⋊C4—21no—
55C3×C4×C22⋊C4C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#340C2211yescharacteristic
59C3×#340C2211yescharacteristic
60C3×#336C2211yescharacteristic
61C3×#336C2211yescharacteristic
62C2×#485C2×C311yescharacteristic, complemented
63C2×#474C2×C311yescharacteristic, complemented
64#2492C2×C311yescharacteristic, complemented
65#2363C2×C311yescharacteristic
66#2068C2×C311yescharacteristic, complemented
67#2058C2×C311yescharacteristic, complemented
68#2033C2×C311yescharacteristic
69#2000C2×C311yescharacteristic
70#1968C2×C311yescharacteristic, complemented
71#1928C2×C311yescharacteristic, complemented
72#1926C2×C311yescharacteristic, complemented
73#1923C2×C311yescharacteristic, complemented
74#1877C2×C311yescharacteristic, complemented
75#1854C2×C311yescharacteristic, complemented
76C4×#107C2×C311yescharacteristic, complemented
77C22×C3×Q8—21no—
78C22×C3×Q8C2311yescharacteristic
79C22×C3×D4—21no—
80C22×C3×D4C2311yescharacteristic
81C23×C3×C4—21no—
82C23×C3×C4C2311yescharacteristic
83C2×C3×SD16—22no—
84C2×C3×SD16—22no—
85C2×C3×SD16—41no—
86C22×C3×C8C2311yescharacteristic
87C22×C3×C8C2311yescharacteristic
88C22×C3×C8C2311yescharacteristic
89C22×C3×C8C2311yescharacteristic
90C3×C4⋊Q8—22no—
91C3×C4⋊Q8—41no—
92C3×C22⋊Q8—22no—
93C3×C22⋊Q8—41no—
94C3×#121—22no—
95C3×#121—22no—
96C3×C4×D4—22no—
97C3×C4×D4—41no—
98C3×#117—22no—
99C3×#117—41no—
100C2×C3×C4⋊C4—21no—
101C2×C3×C4⋊C4—21no—
102C2×C3×C4⋊C4—21no—
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×C22⋊C4—21no—
110C2×C3×C22⋊C4—21no—
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⋊C4D411yescharacteristic
117C2×C3×C22⋊C4D411yescharacteristic
118C2×C3×C42—21no—
119C2×C3×C42—21no—
120C2×C3×C42—21no—
121C2×C3×C42C2311yescharacteristic
122C2×C3×C42C2311yescharacteristic
123C3×#107—22no—
124C3×#107—22no—
125C3×#107D414yescomplemented
126C3×#106—22no—
127C3×#106—41no—
128C3×C4⋊C8—22no—
129C3×#103—22no—
130C3×#103—22no—
131C3×#103—22no—
132C3×#102—22no—
133C3×#102—22no—
134C3×#102—22no—
135C3×C22⋊C8—22no—
136C3×C22⋊C8—22no—
137C3×C4×C8—22no—
138C3×#95—21no—
139C3×#95—21no—
140C3×#95—21no—
141C3×#95—21no—
142C3×#95—21no—
143C3×#95—21no—
144C3×#95—21no—
145C3×#95—21no—
146C3×#95D411yescharacteristic
147C3×#95D411yescharacteristic
148C22×SD16C22×C311yescharacteristic
149C2×C4⋊Q8C22×C311yescharacteristic
150C2×C22⋊Q8C22×C311yescharacteristic
151C2×#121C22×C311yescharacteristic
152C2×C4×D4C22×C311yescharacteristic
153C2×#117C22×C311yescharacteristic
154#485—24no—
155#474—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×C22⋊C8C22×C311yescharacteristic
169C2×C22⋊C8C22×C311yescharacteristic
170C2×C4×C8C22×C311yescharacteristic
171#400—21no—
172#393—21no—
173#391—21no—
174#391C22×C311yescharacteristic
175#391C22×C311yescharacteristic
176#390—21no—
177#390C22×C311yescharacteristic
178#389C22×C311yescharacteristic
179#388—21no—
180#388—21no—
181#386—21no—
182#380C22×C311yescharacteristic
183C4×C4⋊C4C22×C311yescharacteristic
184C4×C4⋊C4C22×C311yescharacteristic
185C4×C22⋊C4—21no—
186C4×C22⋊C4C22×C311yescharacteristic
187#340C22×C311yescharacteristic
188#340C22×C311yescharacteristic
189#340C22×C311yescharacteristic
190#340C22×C311yescharacteristic
191#336C22×C311yescharacteristic
192#336C22×C311yescharacteristic
193C24×C3—21no—
194C24×C3C2×D411yescharacteristic
195C2×C3×Q8—21no—
196C2×C3×Q8—21no—
197C2×C3×Q8—21no—
198C2×C3×Q8—21no—
199C2×C3×Q8—21no—
200C2×C3×Q8—21no—
201C2×C3×Q8—42no—
202C2×C3×Q8—42no—
203C2×C3×Q8—81no—
204C2×C3×D4—24no—
205C2×C3×D4—21no—
206C2×C3×D4—21no—
207C2×C3×D4—21no—
208C2×C3×D4—21no—
209C2×C3×D4—21no—
210C2×C3×D4—81no—
211C2×C3×D4—81no—
212C2×C3×D4#4112yes—
213C22×C3×C4—21no—
214C22×C3×C4—21no—
215C22×C3×C4—21no—
216C22×C3×C4—21no—
217C22×C3×C4—21no—
218C22×C3×C4—21no—
219C22×C3×C4—21no—
220C22×C3×C4—21no—
221C22×C3×C4—21no—
222C22×C3×C4—21no—
223C22×C3×C4—21no—
224C22×C3×C4—21no—
225C22×C3×C4—21no—
226C22×C3×C4—42no—
227C22×C3×C4—42no—
228C22×C3×C4—81no—
229C22×C3×C4C2×D411yescharacteristic
230C22×C3×C4C2×D411yescharacteristic
231C22×C3×C4C2×D411yescharacteristic
232C22×C3×C4C2×D411yescharacteristic
233C22×C3×C4C2×D411yescharacteristic
234C22×C3×C4C2411yescharacteristic
235C3×SD16—44no—
236C2×C3×C8—21no—
237C2×C3×C8—21no—
238C2×C3×C8—21no—
239C2×C3×C8—21no—
240C2×C3×C8—21no—
241C2×C3×C8—21no—
242C2×C3×C8—21no—
243C2×C3×C8—21no—
244C2×C3×C8—21no—
245C2×C3×C8—21no—
246C2×C3×C8C2×D412yes—
247C2×C3×C8#4112yes—
248C3×C4⋊C4—21no—
249C3×C4⋊C4—21no—
250C3×C4⋊C4—21no—
251C3×C4⋊C4—21no—
252C3×C4⋊C4—21no—
253C3×C4⋊C4—21no—
254C3×C4⋊C4—21no—
255C3×C4⋊C4—21no—
256C3×C4⋊C4—21no—
257C3×C4⋊C4—42no—
258C3×C4⋊C4—42no—
259C3×C4⋊C4—81no—
260C3×C4⋊C4C2×D412yes—
261C3×C4⋊C4C2×D412yes—
262C3×C4⋊C4#4112yes—
263C3×C22⋊C4—24no—
264C3×C22⋊C4—22no—
265C3×C22⋊C4—22no—
266C3×C22⋊C4—42no—
267C3×C22⋊C4—42no—
268C3×C22⋊C4—42no—
269C3×C22⋊C4—42no—
270C3×C22⋊C4—81no—
271C3×C22⋊C4—81no—
272C3×C42—21no—
273C3×C42—21no—
274C3×C42—21no—
275C3×C42—21no—
276C3×C42—42no—
277C3×C42—81no—
278C3×C42—81no—
279C22×Q8—21no—
280C22×Q8C23×C311yescharacteristic
281C22×D4—21no—
282C22×D4C23×C311yescharacteristic
283C23×C4—21no—
284C23×C4C23×C311yescharacteristic
285C2×SD16—22no—
286C2×SD16—22no—
287C2×SD16—41no—
288C22×C8C23×C311yescharacteristic
289C22×C8C23×C311yescharacteristic
290C22×C8C23×C311yescharacteristic
291C22×C8C23×C311yescharacteristic
292C4⋊Q8—22no—
293C4⋊Q8—41no—
294C22⋊Q8—22no—
295C22⋊Q8—41no—
296#121—22no—
297#121—22no—
298C4×D4—22no—
299C4×D4—41no—
300#117—22no—
301#117—41no—
302C2×C4⋊C4—21no—
303C2×C4⋊C4—21no—
304C2×C4⋊C4—21no—
305C2×C4⋊C4C23×C311yescharacteristic
306C2×C4⋊C4C23×C311yescharacteristic
307C2×C4⋊C4C23×C311yescharacteristic
308C2×C4⋊C4C23×C311yescharacteristic
309C2×C4⋊C4C23×C311yescharacteristic
310C2×C4⋊C4C23×C311yescharacteristic
311C2×C22⋊C4—21no—
312C2×C22⋊C4—21no—
313C2×C22⋊C4—21no—
314C2×C22⋊C4—21no—
315C2×C22⋊C4—21no—
316C2×C22⋊C4—21no—
317C2×C22⋊C4—21no—
318C2×C22⋊C4C3×D411yescharacteristic
319C2×C22⋊C4C3×D411yescharacteristic
320C2×C42—21no—
321C2×C42—21no—
322C2×C42—21no—
323C2×C42C23×C311yescharacteristic
324C2×C42C23×C311yescharacteristic
325#107—22no—
326#107—22no—
327#107C3×D414yescomplemented
328#106—22no—
329#106—41no—
330C4⋊C8—22no—
331#103—22no—
332#103—22no—
333#103—22no—
334#102—22no—
335#102—22no—
336#102—22no—
337C22⋊C8—22no—
338C22⋊C8—22no—
339C4×C8—22no—
340#95—21no—
341#95—21no—
342#95—21no—
343#95—21no—
344#95—21no—
345#95—21no—
346#95—21no—
347#95—21no—
348#95C3×D411yescharacteristic
349#95C3×D411yescharacteristic
350C23×C3—22no—
351C23×C3—21no—
352C23×C3—21no—
353C23×C3—21no—
354C23×C3—21no—
355C23×C3—21no—
356C23×C3—21no—
357C23×C3—21no—
358C23×C3—41no—
359C23×C3—41no—
360C23×C3—41no—
361C23×C3—41no—
362C23×C3—41no—
363C23×C3—41no—
364C23×C3C22×D411yescharacteristic
365C3×Q8—41no—
366C3×Q8—41no—
367C3×Q8—41no—
368C3×Q8—41no—
369C3×Q8—84no—
370C3×D4—22no—
371C3×D4—22no—
372C3×D4—41no—
373C3×D4—41no—
374C3×D4—84no—
375C2×C3×C4—21no—
376C2×C3×C4—21no—
377C2×C3×C4—21no—
378C2×C3×C4—21no—
379C2×C3×C4—21no—
380C2×C3×C4—22no—
381C2×C3×C4—21no—
382C2×C3×C4—21no—
383C2×C3×C4—22no—
384C2×C3×C4—22no—
385C2×C3×C4—21no—
386C2×C3×C4—21no—
387C2×C3×C4—21no—
388C2×C3×C4—21no—
389C2×C3×C4—21no—
390C2×C3×C4—21no—
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—41no—
400C2×C3×C4—41no—
401C2×C3×C4—41no—
402C2×C3×C4—41no—
403C2×C3×C4—41no—
404C2×C3×C4—41no—
405C2×C3×C4—41no—
406C2×C3×C4—41no—
407C2×C3×C4—41no—
408C2×C3×C4—41no—
409C2×C3×C4—41no—
410C2×C3×C4—41no—
411C2×C3×C4—41no—
412C2×C3×C4—41no—
413C2×C3×C4—84no—
414C2×C3×C4#13512yes—
415C2×C3×C4#13712yes—
416C2×C3×C4C22×D411yescharacteristic
417C2×C3×C4C2×#4111yescharacteristic
418C2×C3×C4C2×#4111yescharacteristic
419C2×C3×C4C2×#4111yescharacteristic
420C2×C3×C4H(5,𝔽2)11yescharacteristic
421C2×C3×C42−1+411yescharacteristic
422C3×C8—22no—
423C3×C8—22no—
424C3×C8—41no—
425C3×C8—41no—
426C24—21no—
427C24C2×C3×D411yescharacteristic
428C2×Q8—21no—
429C2×Q8—21no—
430C2×Q8—21no—
431C2×Q8—21no—
432C2×Q8—21no—
433C2×Q8—21no—
434C2×Q8—42no—
435C2×Q8—42no—
436C2×Q8—81no—
437C2×D4—24no—
438C2×D4—21no—
439C2×D4—21no—
440C2×D4—21no—
441C2×D4—21no—
442C2×D4—21no—
443C2×D4—81no—
444C2×D4—81no—
445C2×D4C3×#4112yes—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—42no—
460C22×C4—42no—
461C22×C4—81no—
462C22×C4C2×C3×D411yescharacteristic
463C22×C4C2×C3×D411yescharacteristic
464C22×C4C2×C3×D411yescharacteristic
465C22×C4C2×C3×D411yescharacteristic
466C22×C4C2×C3×D411yescharacteristic
467C22×C4C24×C311yescharacteristic
468SD16—44no—
469C2×C8—21no—
470C2×C8—21no—
471C2×C8—21no—
472C2×C8—21no—
473C2×C8—21no—
474C2×C8—21no—
475C2×C8—21no—
476C2×C8—21no—
477C2×C8—21no—
478C2×C8—21no—
479C2×C8C2×C3×D412yes—
480C2×C8C3×#4112yes—
481C4⋊C4—21no—
482C4⋊C4—21no—
483C4⋊C4—21no—
484C4⋊C4—21no—
485C4⋊C4—21no—
486C4⋊C4—21no—
487C4⋊C4—21no—
488C4⋊C4—21no—
489C4⋊C4—21no—
490C4⋊C4—42no—
491C4⋊C4—42no—
492C4⋊C4—81no—
493C4⋊C4C2×C3×D412yes—
494C4⋊C4C2×C3×D412yes—
495C4⋊C4C3×#4112yes—
496C22⋊C4—24no—
497C22⋊C4—22no—
498C22⋊C4—22no—
499C22⋊C4—42no—
500C22⋊C4—42no—
501C22⋊C4—42no—
502C22⋊C4—42no—
503C22⋊C4—81no—
504C22⋊C4—81no—
505C42—21no—
506C42—21no—
507C42—21no—
508C42—21no—
509C42—42no—
510C42—81no—
511C42—81no—
512C22×C3—41no—
513C22×C3—41no—
514C22×C3—41no—
515C22×C3—42no—
516C22×C3—41no—
517C22×C3—42no—
518C22×C3—41no—
519C22×C3—42no—
520C22×C3—41no—
521C22×C3—41no—
522C22×C3—81no—
523C22×C3—81no—
524C22×C3—81no—
525C22×C3—81no—
526C22×C3#52511yescharacteristic
527C22×C3D4211yescharacteristic
528C22×C3#54711yescharacteristic
529C22×C3C2×#13511yescharacteristic
530C22×C3C2×#13711yescharacteristic
531C22×C3#57611yescharacteristic
532C22×C3#57711yescharacteristic
533C3×C4—22no—
534C3×C4—22no—
535C3×C4—41no—
536C3×C4—42no—
537C3×C4—41no—
538C3×C4—41no—
539C3×C4—42no—
540C3×C4—42no—
541C3×C4—81no—
542C3×C4—81no—
543C3×C4—81no—
544C3×C4—81no—
545C3×C4#53211yescharacteristic
546C3×C4#54211yescharacteristic
547C3×C4#54811yescharacteristic
548C3×C4#55111yescharacteristic
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—22no—
554C23—21no—
555C23—21no—
556C23—21no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23C22×C3×D411yescharacteristic
564Q8—41no—
565Q8—41no—
566Q8—41no—
567Q8—41no—
568Q8—84no—
569D4—22no—
570D4—22no—
571D4—41no—
572D4—41no—
573D4—84no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—22no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—84no—
613C2×C4C3×#13512yes—
614C2×C4C3×#13712yes—
615C2×C4C22×C3×D411yescharacteristic
616C2×C4C2×C3×#4111yescharacteristic
617C2×C4C2×C3×#4111yescharacteristic
618C2×C4C2×C3×#4111yescharacteristic
619C2×C4C3×H(5,𝔽2)11yescharacteristic
620C2×C4C3×2−1+411yescharacteristic
621C8—22no—
622C8—22no—
623C8—41no—
624C8—41no—
625C2×C3—81no—
626C2×C3—82no—
627C2×C3#246111yescharacteristic
628C2×C3#310711yescharacteristic
629C2×C3#311811yescharacteristic
630C2×C3#327811yescharacteristic
631C2×C3#328011yescharacteristic
632C2×C3#334011yescharacteristic
633C2×C3#334611yescharacteristic
634C22—41no—
635C22—42no—
636C22—41no—
637C22—41no—
638C22—41no—
639C22—41no—
640C22—41no—
641C22—42no—
642C22—41no—
643C22—42no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22—81no—
648C22C3×#52511yescharacteristic
649C22C3×D4211yescharacteristic
650C22C3×#54711yescharacteristic
651C22C2×C3×#13511yescharacteristic
652C22C2×C3×#13711yescharacteristic
653C22C3×#57611yescharacteristic
654C22C3×#57711yescharacteristic
655C4—22no—
656C4—22no—
657C4—41no—
658C4—41no—
659C4—42no—
660C4—42no—
661C4—41no—
662C4—42no—
663C4—81no—
664C4—81no—
665C4—81no—
666C4—81no—
667C4C3×#53211yescharacteristic
668C4C3×#54211yescharacteristic
669C4C3×#54811yescharacteristic
670C4C3×#55111yescharacteristic
671C3#2679911yescharacteristic, direct product factor, Sylow
672C2—81no—
673C2—82no—
674C2C3×#246111yescharacteristic
675C2C3×#310711yescharacteristic
676C2C3×#311811yescharacteristic
677C2C3×#327811yescharacteristic
678C2C3×#328011yescharacteristic
679C2C3×#334011yescharacteristic
680C2C3×#334611yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC2×C3×#121C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C3 ◁ C3×C4×C22⋊C4 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C3×#485C2semidirect
2. C2×C3×#474C2semidirect
3. C3×#2492C2semidirect
5. C3×#2068C2semidirect
6. C3×#2058C2semidirect
9. C3×#1968C2semidirect
10. C3×#1928C2semidirect
11. C3×#1926C2semidirect
12. C3×#1923C2semidirect
13. C3×#1877C2semidirect
14. C3×#1854C2semidirect
15. C3×C4×#107C2semidirect
16. #26799C3direct (N × H)
62. C2×#485C2×C3semidirect
63. C2×#474C2×C3semidirect
64. #2492C2×C3semidirect
66. #2068C2×C3semidirect
67. #2058C2×C3semidirect
70. #1968C2×C3semidirect
71. #1928C2×C3semidirect
72. #1926C2×C3semidirect
73. #1923C2×C3semidirect
74. #1877C2×C3semidirect
75. #1854C2×C3semidirect
76. C4×#107C2×C3semidirect
125. C3×#107D4semidirect
327. #107C3×D4semidirect
671. C3#26799direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#4852
C2×C3×#4742
C3×#24922
C3×#23632
C3×#20682
C3×#20582
C3×#20332
C3×#20002
C3×#19682
C3×#19282
C3×#19262
C3×#19232
C3×#18772
C3×#18542
C3×C4×#1072
#267993