Finite Group Databasebeta

← C3×#27771 #10646378

Subgroups — C3×#27771 #10646378

Order 768.

860 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#488C211yesmaximal, characteristic, complemented
2C2×C3×#486C211yesmaximal, characteristic
3C3×#2550C211yesmaximal, characteristic, complemented
4C3×#2544C211yesmaximal, characteristic
5C3×#2042C211yesmaximal, characteristic, complemented
6C3×#2041C211yesmaximal, characteristic
7C3×#2025C211yesmaximal, characteristic, complemented
8C3×#2024C211yesmaximal, characteristic, complemented
9C3×#1983C211yesmaximal, characteristic, complemented
10C3×#1958C211yesmaximal, characteristic, complemented
11C3×#1934C211yesmaximal, characteristic, complemented
12C3×#1933C211yesmaximal, characteristic, complemented
13C3×#1804C211yesmaximal, characteristic, complemented
14C3×C8×C4⋊C4C211yesmaximal, characteristic, complemented
15C3×C4×#102C211yesmaximal, characteristic, complemented
16#27771C311yesmaximal, characteristic, direct product factor, Sylow
17C2×C3×C4⋊Q8C2211yescharacteristic
18C2×C3×#127C2211yescharacteristic
19C2×C3×#125C2211yescharacteristic
20C2×C3×#124C2211yescharacteristic
21C2×C3×#124C2211yescharacteristic
22C2×C3×C4×D4C2211yescharacteristic
23C3×#488—24no—
24C3×#486—24no—
25C2×C3×C4⋊C8C2211yescharacteristic
26C2×C3×#103C2211yescharacteristic
27C2×C3×#103C2211yescharacteristic
28C2×C3×#103C2211yescharacteristic
29C2×C3×#103C2211yescharacteristic
30C2×C3×#102C2211yescharacteristic
31C2×C3×#102C2211yescharacteristic
32C2×C3×#102C2211yescharacteristic
33C2×C3×#102C2211yescharacteristic
34C2×C3×#102C2211yescharacteristic
35C2×C3×#102C2211yescharacteristic
36C2×C3×#102C2211yescharacteristic
37C2×C3×#102C2211yescharacteristic
38C2×C3×C4×C8C2211yescharacteristic
39C2×C3×C4×C8C2211yescharacteristic
40C2×C3×C4×C8C2211yescharacteristic
41C3×#398—21no—
42C3×#395—21no—
43C3×#394—21no—
44C3×#394—21no—
45C3×#391—21no—
46C3×#391C2211yescharacteristic
47C3×#390C2211yescharacteristic
48C3×#389—21no—
49C3×#389C2211yescharacteristic
50C3×#389C2211yescharacteristic
51C3×#386—21no—
52C3×#386—21no—
53C3×#382C2211yescharacteristic
54C3×C4×C4⋊C4C2211yescharacteristic
55C3×C4×C4⋊C4C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#340C2211yescharacteristic
59C3×#340C2211yescharacteristic
60C3×#336C2211yescharacteristic
61C3×#336C2211yescharacteristic
62C2×#488C2×C311yescharacteristic, complemented
63C2×#486C2×C311yescharacteristic
64#2550C2×C311yescharacteristic, complemented
65#2544C2×C311yescharacteristic
66#2042C2×C311yescharacteristic, complemented
67#2041C2×C311yescharacteristic
68#2025C2×C311yescharacteristic, complemented
69#2024C2×C311yescharacteristic, complemented
70#1983C2×C311yescharacteristic, complemented
71#1958C2×C311yescharacteristic, complemented
72#1934C2×C311yescharacteristic, complemented
73#1933C2×C311yescharacteristic, complemented
74#1804C2×C311yescharacteristic, complemented
75C8×C4⋊C4C2×C311yescharacteristic, complemented
76C4×#102C2×C311yescharacteristic, complemented
77C22×C3×Q8—21no—
78C22×C3×Q8C2311yescharacteristic
79C22×C3×D4—21no—
80C22×C3×D4—21no—
81C22×C3×D4C2311yescharacteristic
82C22×C3×D4C2311yescharacteristic
83C23×C3×C4—21no—
84C22×C3×C8C2311yescharacteristic
85C22×C3×C8C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C22×C3×C8C2311yescharacteristic
88C3×C4⋊Q8—22no—
89C3×C4⋊Q8—41no—
90C3×#127—22no—
91C3×#127—41no—
92C3×#125—22no—
93C3×#125—41no—
94C3×#124—22no—
95C3×#124—22no—
96C3×#124—22no—
97C3×#124—41no—
98C3×C4×D4—22no—
99C3×C4×D4—22no—
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⋊C4D411yescharacteristic
106C2×C3×C4⋊C4D411yescharacteristic
107C2×C3×C4⋊C4C2311yescharacteristic
108C2×C3×C4⋊C4C2311yescharacteristic
109C2×C3×C4⋊C4C2311yescharacteristic
110C2×C3×C4⋊C4C2311yescharacteristic
111C2×C3×C4⋊C4C2311yescharacteristic
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⋊C4—21no—
119C2×C3×C42—21no—
120C2×C3×C42C2311yescharacteristic
121C2×C3×C42C2311yescharacteristic
122C2×C3×C42C2311yescharacteristic
123C3×C4⋊C8—22no—
124C3×#103—22no—
125C3×#103—22no—
126C3×#103—22no—
127C3×#103—41no—
128C3×#102—22no—
129C3×#102—22no—
130C3×#102—22no—
131C3×#102—22no—
132C3×#102—22no—
133C3×#102—22no—
134C3×#102—41no—
135C3×#102D414yes—
136C3×C4×C8—22no—
137C3×C4×C8—22no—
138C3×C4×C8—22no—
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
148C2×C4⋊Q8C22×C311yescharacteristic
149C2×#127C22×C311yescharacteristic
150C2×#125C22×C311yescharacteristic
151C2×#124C22×C311yescharacteristic
152C2×#124C22×C311yescharacteristic
153C2×C4×D4C22×C311yescharacteristic
154#488—24no—
155#486—24no—
156C2×C4⋊C8C22×C311yescharacteristic
157C2×#103C22×C311yescharacteristic
158C2×#103C22×C311yescharacteristic
159C2×#103C22×C311yescharacteristic
160C2×#103C22×C311yescharacteristic
161C2×#102C22×C311yescharacteristic
162C2×#102C22×C311yescharacteristic
163C2×#102C22×C311yescharacteristic
164C2×#102C22×C311yescharacteristic
165C2×#102C22×C311yescharacteristic
166C2×#102C22×C311yescharacteristic
167C2×#102C22×C311yescharacteristic
168C2×#102C22×C311yescharacteristic
169C2×C4×C8C22×C311yescharacteristic
170C2×C4×C8C22×C311yescharacteristic
171C2×C4×C8C22×C311yescharacteristic
172#398—21no—
173#395—21no—
174#394—21no—
175#394—21no—
176#391—21no—
177#391C22×C311yescharacteristic
178#390C22×C311yescharacteristic
179#389—21no—
180#389C22×C311yescharacteristic
181#389C22×C311yescharacteristic
182#386—21no—
183#386—21no—
184#382C22×C311yescharacteristic
185C4×C4⋊C4C22×C311yescharacteristic
186C4×C4⋊C4C22×C311yescharacteristic
187#340C22×C311yescharacteristic
188#340C22×C311yescharacteristic
189#340C22×C311yescharacteristic
190#340C22×C311yescharacteristic
191#336C22×C311yescharacteristic
192#336C22×C311yescharacteristic
193C24×C3—21no—
194C24×C3—21no—
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—21no—
205C2×C3×D4—21no—
206C2×C3×D4—21no—
207C2×C3×D4—21no—
208C2×C3×D4—21no—
209C2×C3×D4—21no—
210C2×C3×D4—21no—
211C2×C3×D4—21no—
212C2×C3×D4—21no—
213C2×C3×D4—21no—
214C2×C3×D4—21no—
215C2×C3×D4—42no—
216C2×C3×D4—42no—
217C2×C3×D4—42no—
218C2×C3×D4—42no—
219C2×C3×D4—81no—
220C2×C3×D4—81no—
221C2×C3×D4C2×D412yes—
222C22×C3×C4—21no—
223C22×C3×C4—21no—
224C22×C3×C4—21no—
225C22×C3×C4—21no—
226C22×C3×C4—21no—
227C22×C3×C4—21no—
228C22×C3×C4—42no—
229C22×C3×C4—81no—
230C22×C3×C4—81no—
231C22×C3×C4C2×D411yescharacteristic
232C22×C3×C4C2×D411yescharacteristic
233C22×C3×C4C2×D411yescharacteristic
234C22×C3×C4C2×D411yescharacteristic
235C22×C3×C4C2×D411yescharacteristic
236C22×C3×C4C2×D411yescharacteristic
237C22×C3×C4C2411yescharacteristic
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×C8—21no—
247C2×C3×C8—21no—
248C2×C3×C8—21no—
249C2×C3×C8C2×D412yes—
250C3×C4⋊C4—22no—
251C3×C4⋊C4—22no—
252C3×C4⋊C4—21no—
253C3×C4⋊C4—21no—
254C3×C4⋊C4—21no—
255C3×C4⋊C4—21no—
256C3×C4⋊C4—21no—
257C3×C4⋊C4—21no—
258C3×C4⋊C4—21no—
259C3×C4⋊C4—21no—
260C3×C4⋊C4—42no—
261C3×C4⋊C4—42no—
262C3×C4⋊C4—42no—
263C3×C4⋊C4—42no—
264C3×C4⋊C4—81no—
265C3×C4⋊C4C2×D412yes—
266C3×C4⋊C4#4112yes—
267C3×C22⋊C4—42no—
268C3×C22⋊C4—42no—
269C3×C22⋊C4—42no—
270C3×C22⋊C4—42no—
271C3×C22⋊C4—42no—
272C3×C22⋊C4—81no—
273C3×C22⋊C4—81no—
274C3×C42—21no—
275C3×C42—21no—
276C3×C42—21no—
277C3×C42—21no—
278C3×C42—81no—
279C3×C42#4112yes—
280C3×C42#4112yes—
281C22×Q8—21no—
282C22×Q8C23×C311yescharacteristic
283C22×D4—21no—
284C22×D4—21no—
285C22×D4C23×C311yescharacteristic
286C22×D4C23×C311yescharacteristic
287C23×C4—21no—
288C22×C8C23×C311yescharacteristic
289C22×C8C23×C311yescharacteristic
290C22×C8C23×C311yescharacteristic
291C22×C8C23×C311yescharacteristic
292C4⋊Q8—22no—
293C4⋊Q8—41no—
294#127—22no—
295#127—41no—
296#125—22no—
297#125—41no—
298#124—22no—
299#124—22no—
300#124—22no—
301#124—41no—
302C4×D4—22no—
303C4×D4—22no—
304C2×C4⋊C4—21no—
305C2×C4⋊C4—21no—
306C2×C4⋊C4—21no—
307C2×C4⋊C4—21no—
308C2×C4⋊C4—21no—
309C2×C4⋊C4C3×D411yescharacteristic
310C2×C4⋊C4C3×D411yescharacteristic
311C2×C4⋊C4C23×C311yescharacteristic
312C2×C4⋊C4C23×C311yescharacteristic
313C2×C4⋊C4C23×C311yescharacteristic
314C2×C4⋊C4C23×C311yescharacteristic
315C2×C4⋊C4C23×C311yescharacteristic
316C2×C22⋊C4—21no—
317C2×C22⋊C4—21no—
318C2×C22⋊C4—21no—
319C2×C22⋊C4—21no—
320C2×C22⋊C4—21no—
321C2×C22⋊C4—21no—
322C2×C22⋊C4—21no—
323C2×C42—21no—
324C2×C42C23×C311yescharacteristic
325C2×C42C23×C311yescharacteristic
326C2×C42C23×C311yescharacteristic
327C4⋊C8—22no—
328#103—22no—
329#103—22no—
330#103—22no—
331#103—41no—
332#102—22no—
333#102—22no—
334#102—22no—
335#102—22no—
336#102—22no—
337#102—22no—
338#102—41no—
339#102C3×D414yes—
340C4×C8—22no—
341C4×C8—22no—
342C4×C8—22no—
343#95—21no—
344#95—21no—
345#95—21no—
346#95—21no—
347#95—21no—
348#95—21no—
349#95—21no—
350#95C3×D411yescharacteristic
351#95C3×D411yescharacteristic
352C23×C3—22no—
353C23×C3—41no—
354C23×C3—41no—
355C23×C3—41no—
356C23×C3—41no—
357C23×C3—41no—
358C23×C3—41no—
359C23×C3—41no—
360C23×C3—41no—
361C23×C3—41no—
362C23×C3—41no—
363C23×C3—41no—
364C23×C3—41no—
365C23×C3—41no—
366C23×C3C22×D411yescharacteristic
367C3×Q8—41no—
368C3×Q8—41no—
369C3×Q8—41no—
370C3×Q8—41no—
371C3×Q8—84no—
372C3×D4—22no—
373C3×D4—22no—
374C3×D4—41no—
375C3×D4—41no—
376C3×D4—41no—
377C3×D4—41no—
378C3×D4—41no—
379C3×D4—41no—
380C3×D4—84no—
381C3×D4—84no—
382C2×C3×C4—21no—
383C2×C3×C4—21no—
384C2×C3×C4—21no—
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—21no—
392C2×C3×C4—22no—
393C2×C3×C4—22no—
394C2×C3×C4—21no—
395C2×C3×C4—21no—
396C2×C3×C4—21no—
397C2×C3×C4—21no—
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—41no—
414C2×C3×C4—84no—
415C2×C3×C4#12412yes—
416C2×C3×C4#12412yes—
417C2×C3×C4#13512yes—
418C2×C3×C4#13512yes—
419C2×C3×C4C22×D411yescharacteristic
420C2×C3×C4C2×#4111yescharacteristic
421C2×C3×C4C2×#4111yescharacteristic
422C2×C3×C4C2×#4111yescharacteristic
423C2×C3×C4H(5,𝔽2)11yescharacteristic
424C2×C3×C42−1+411yescharacteristic
425C3×C8—22no—
426C3×C8—41no—
427C3×C8—41no—
428C3×C8—41no—
429C24—21no—
430C24—21no—
431C2×Q8—21no—
432C2×Q8—21no—
433C2×Q8—21no—
434C2×Q8—21no—
435C2×Q8—21no—
436C2×Q8—21no—
437C2×Q8—42no—
438C2×Q8—42no—
439C2×Q8—81no—
440C2×D4—21no—
441C2×D4—21no—
442C2×D4—21no—
443C2×D4—21no—
444C2×D4—21no—
445C2×D4—21no—
446C2×D4—21no—
447C2×D4—21no—
448C2×D4—21no—
449C2×D4—21no—
450C2×D4—21no—
451C2×D4—42no—
452C2×D4—42no—
453C2×D4—42no—
454C2×D4—42no—
455C2×D4—81no—
456C2×D4—81no—
457C2×D4C2×C3×D412yes—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—42no—
465C22×C4—81no—
466C22×C4—81no—
467C22×C4C2×C3×D411yescharacteristic
468C22×C4C2×C3×D411yescharacteristic
469C22×C4C2×C3×D411yescharacteristic
470C22×C4C2×C3×D411yescharacteristic
471C22×C4C2×C3×D411yescharacteristic
472C22×C4C2×C3×D411yescharacteristic
473C22×C4C24×C311yescharacteristic
474C2×C8—21no—
475C2×C8—21no—
476C2×C8—21no—
477C2×C8—21no—
478C2×C8—21no—
479C2×C8—21no—
480C2×C8—21no—
481C2×C8—21no—
482C2×C8—21no—
483C2×C8—21no—
484C2×C8—21no—
485C2×C8C2×C3×D412yes—
486C4⋊C4—22no—
487C4⋊C4—22no—
488C4⋊C4—21no—
489C4⋊C4—21no—
490C4⋊C4—21no—
491C4⋊C4—21no—
492C4⋊C4—21no—
493C4⋊C4—21no—
494C4⋊C4—21no—
495C4⋊C4—21no—
496C4⋊C4—42no—
497C4⋊C4—42no—
498C4⋊C4—42no—
499C4⋊C4—42no—
500C4⋊C4—81no—
501C4⋊C4C2×C3×D412yes—
502C4⋊C4C3×#4112yes—
503C22⋊C4—42no—
504C22⋊C4—42no—
505C22⋊C4—42no—
506C22⋊C4—42no—
507C22⋊C4—42no—
508C22⋊C4—81no—
509C22⋊C4—81no—
510C42—21no—
511C42—21no—
512C42—21no—
513C42—21no—
514C42—81no—
515C42C3×#4112yes—
516C42C3×#4112yes—
517C22×C3—42no—
518C22×C3—42no—
519C22×C3—42no—
520C22×C3—81no—
521C22×C3—81no—
522C22×C3—81no—
523C22×C3—81no—
524C22×C3—81no—
525C22×C3—81no—
526C22×C3—81no—
527C22×C3—81no—
528C22×C3—81no—
529C22×C3—81no—
530C22×C3—81no—
531C22×C3C2×#12411yescharacteristic
532C22×C3D4211yescharacteristic
533C22×C3#54811yescharacteristic
534C22×C3C2×#13511yescharacteristic
535C22×C3C2×#13511yescharacteristic
536C22×C3#57611yescharacteristic
537C22×C3#57711yescharacteristic
538C3×C4—22no—
539C3×C4—22no—
540C3×C4—22no—
541C3×C4—22no—
542C3×C4—42no—
543C3×C4—41no—
544C3×C4—42no—
545C3×C4—41no—
546C3×C4—81no—
547C3×C4—81no—
548C3×C4—81no—
549C3×C4—81no—
550C3×C4#53211yescharacteristic
551C3×C4#54211yescharacteristic
552C3×C4#54711yescharacteristic
553C3×C4#55511yescharacteristic
554C23—22no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23C22×C3×D411yescharacteristic
569Q8—41no—
570Q8—41no—
571Q8—41no—
572Q8—41no—
573Q8—84no—
574D4—22no—
575D4—22no—
576D4—41no—
577D4—41no—
578D4—41no—
579D4—41no—
580D4—41no—
581D4—41no—
582D4—84no—
583D4—84no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—21no—
598C2×C4—22no—
599C2×C4—22no—
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—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—84no—
617C2×C4C3×#12412yes—
618C2×C4C3×#12412yes—
619C2×C4C3×#13512yes—
620C2×C4C3×#13512yes—
621C2×C4C22×C3×D411yescharacteristic
622C2×C4C2×C3×#4111yescharacteristic
623C2×C4C2×C3×#4111yescharacteristic
624C2×C4C2×C3×#4111yescharacteristic
625C2×C4C3×H(5,𝔽2)11yescharacteristic
626C2×C4C3×2−1+411yescharacteristic
627C8—22no—
628C8—41no—
629C8—41no—
630C8—41no—
631C2×C3—82no—
632C2×C3—161no—
633C2×C3#249111yescharacteristic
634C2×C3#313111yescharacteristic
635C2×C3#313611yescharacteristic
636C2×C3#328011yescharacteristic
637C2×C3#328211yescharacteristic
638C2×C3#336111yescharacteristic
639C2×C3#336511yescharacteristic
640C22—42no—
641C22—42no—
642C22—42no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22—81no—
648C22—81no—
649C22—81no—
650C22—81no—
651C22—81no—
652C22—81no—
653C22—81no—
654C22C2×C3×#12411yescharacteristic
655C22C3×D4211yescharacteristic
656C22C3×#54811yescharacteristic
657C22C2×C3×#13511yescharacteristic
658C22C2×C3×#13511yescharacteristic
659C22C3×#57611yescharacteristic
660C22C3×#57711yescharacteristic
661C4—22no—
662C4—22no—
663C4—22no—
664C4—22no—
665C4—41no—
666C4—42no—
667C4—41no—
668C4—42no—
669C4—81no—
670C4—81no—
671C4—81no—
672C4—81no—
673C4C3×#53211yescharacteristic
674C4C3×#54211yescharacteristic
675C4C3×#54711yescharacteristic
676C4C3×#55511yescharacteristic
677C3#2777111yescharacteristic, direct product factor, Sylow
678C2—82no—
679C2—161no—
680C2C3×#249111yescharacteristic
681C2C3×#313111yescharacteristic
682C2C3×#313611yescharacteristic
683C2C3×#328011yescharacteristic
684C2C3×#328211yescharacteristic
685C2C3×#336111yescharacteristic
686C2C3×#336511yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC2×C3×#127C22
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×#488C2semidirect
3. C3×#2550C2semidirect
5. C3×#2042C2semidirect
7. C3×#2025C2semidirect
8. C3×#2024C2semidirect
9. C3×#1983C2semidirect
10. C3×#1958C2semidirect
11. C3×#1934C2semidirect
12. C3×#1933C2semidirect
13. C3×#1804C2semidirect
14. C3×C8×C4⋊C4C2semidirect
15. C3×C4×#102C2semidirect
16. #27771C3direct (N × H)
62. C2×#488C2×C3semidirect
64. #2550C2×C3semidirect
66. #2042C2×C3semidirect
68. #2025C2×C3semidirect
69. #2024C2×C3semidirect
70. #1983C2×C3semidirect
71. #1958C2×C3semidirect
72. #1934C2×C3semidirect
73. #1933C2×C3semidirect
74. #1804C2×C3semidirect
75. C8×C4⋊C4C2×C3semidirect
76. C4×#102C2×C3semidirect
677. C3#27771direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#4882
C2×C3×#4862
C3×#25502
C3×#25442
C3×#20422
C3×#20412
C3×#20252
C3×#20242
C3×#19832
C3×#19582
C3×#19342
C3×#19332
C3×#18042
C3×C8×C4⋊C42
C3×C4×#1022
#277713