Finite Group Databasebeta

← C3×#27695 #10646302

Subgroups — C3×#27695 #10646302

Order 768.

872 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2501C211yesmaximal, characteristic
2C3×#2440C211yesmaximal, characteristic, complemented
3C3×#2099C211yesmaximal, characteristic, complemented
4C3×#2099C211yesmaximal, characteristic, complemented
5C3×#2071C211yesmaximal, characteristic, complemented
6C3×#2023C211yesmaximal, characteristic, complemented
7C3×#1990C211yesmaximal, characteristic, complemented
8C3×#1934C211yesmaximal, characteristic, complemented
9C3×#1934C211yesmaximal, characteristic, complemented
10C3×#1893C211yesmaximal, characteristic
11C3×#1874C211yesmaximal, characteristic
12C3×#1834C211yesmaximal, characteristic, complemented
13C3×#1823C211yesmaximal, characteristic, complemented
14C3×C8×C22⋊C4C211yesmaximal, characteristic, complemented
15C2×C3×#340C211yesmaximal, characteristic, complemented
16#27695C311yesmaximal, characteristic, direct product factor, Sylow
17C23×C3×C8C2211yescharacteristic
18C2×C3×C4⋊Q8C2211yescharacteristic
19C2×C3×#123—21no—
20C2×C3×#123—21no—
21C2×C3×C22⋊Q8—21no—
22C2×C3×#121C2211yescharacteristic
23C22×C3×C4⋊C4C2211yescharacteristic
24C22×C3×C4⋊C4C2211yescharacteristic
25C2×C3×#102C2211yescharacteristic
26C2×C3×#102C2211yescharacteristic
27C2×C3×#102C2211yescharacteristic
28C2×C3×#102C2211yescharacteristic
29C2×C3×C22⋊C8C2211yescharacteristic
30C2×C3×C4×C8C2211yescharacteristic
31C2×C3×C4×C8C2211yescharacteristic
32C3×#399—21no—
33C3×#399—21no—
34C3×#398—21no—
35C3×#395—21no—
36C3×#390C2211yescharacteristic
37C3×#390C2211yescharacteristic
38C3×#389C2211yescharacteristic
39C3×#389C2211yescharacteristic
40C3×#385—21no—
41C3×#384C2211yescharacteristic
42C3×#384C2211yescharacteristic
43C3×#384C2211yescharacteristic
44C3×#380C2211yescharacteristic
45C3×C4×C22⋊C4C2211yescharacteristic
46C3×#340C2211yescharacteristic
47C3×#340C2211yescharacteristic
48C3×#340C2211yescharacteristic
49C3×#340C2211yescharacteristic
50C3×#340C2211yescharacteristic
51C3×#340C2211yescharacteristic
52C3×#340C2211yescharacteristic
53C3×#340C2211yescharacteristic
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#336C2211yescharacteristic
59C3×#336C2211yescharacteristic
60#2501C2×C311yescharacteristic
61#2440C2×C311yescharacteristic, complemented
62#2099C2×C311yescharacteristic, complemented
63#2099C2×C311yescharacteristic, complemented
64#2071C2×C311yescharacteristic, complemented
65#2023C2×C311yescharacteristic, complemented
66#1990C2×C311yescharacteristic, complemented
67#1934C2×C311yescharacteristic, complemented
68#1934C2×C311yescharacteristic, complemented
69#1893C2×C311yescharacteristic
70#1874C2×C311yescharacteristic
71#1834C2×C311yescharacteristic, complemented
72#1823C2×C311yescharacteristic, complemented
73C8×C22⋊C4C2×C311yescharacteristic, complemented
74C2×#340C2×C311yescharacteristic, complemented
75C22×C3×Q8—21no—
76C22×C3×D4—21no—
77C22×C3×D4C2311yescharacteristic
78C23×C3×C4—21no—
79C23×C3×C4—21no—
80C23×C3×C4C2311yescharacteristic
81C22×C3×C8—22no—
82C22×C3×C8—22no—
83C22×C3×C8—41no—
84C22×C3×C8C2311yescharacteristic
85C22×C3×C8C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C22×C3×C8C2311yescharacteristic
88C3×C4⋊Q8—22no—
89C3×C4⋊Q8—41no—
90C3×#123—44no—
91C3×#123—44no—
92C3×C22⋊Q8—44no—
93C3×#121—22no—
94C3×#121—22no—
95C2×C3×C4⋊C4—22no—
96C2×C3×C4⋊C4—22no—
97C2×C3×C4⋊C4—22no—
98C2×C3×C4⋊C4—21no—
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⋊C4—21no—
108C2×C3×C4⋊C4—21no—
109C2×C3×C4⋊C4—41no—
110C2×C3×C4⋊C4C2311yescharacteristic
111C2×C3×C4⋊C4C2311yescharacteristic
112C2×C3×C4⋊C4C2311yescharacteristic
113C2×C3×C4⋊C4C2311yescharacteristic
114C2×C3×C4⋊C4C2311yescharacteristic
115C2×C3×C4⋊C4C2311yescharacteristic
116C2×C3×C4⋊C4C2311yescharacteristic
117C2×C3×C22⋊C4—21no—
118C2×C3×C22⋊C4—21no—
119C2×C3×C22⋊C4—21no—
120C2×C3×C22⋊C4—21no—
121C2×C3×C22⋊C4—21no—
122C2×C3×C22⋊C4—21no—
123C2×C3×C22⋊C4D411yescharacteristic
124C2×C3×C22⋊C4D411yescharacteristic
125C2×C3×C42C2311yescharacteristic
126C2×C3×C42C2311yescharacteristic
127C3×#102—22no—
128C3×#102—22no—
129C3×#102—41no—
130C3×#102—41no—
131C3×C22⋊C8—22no—
132C3×C4×C8—22no—
133C3×C4×C8—41no—
134C3×#95—21no—
135C3×#95—21no—
136C3×#95—21no—
137C3×#95D411yescharacteristic
138C3×#95D411yescharacteristic
139C23×C8C22×C311yescharacteristic
140C2×C4⋊Q8C22×C311yescharacteristic
141C2×#123—21no—
142C2×#123—21no—
143C2×C22⋊Q8—21no—
144C2×#121C22×C311yescharacteristic
145C22×C4⋊C4C22×C311yescharacteristic
146C22×C4⋊C4C22×C311yescharacteristic
147C2×#102C22×C311yescharacteristic
148C2×#102C22×C311yescharacteristic
149C2×#102C22×C311yescharacteristic
150C2×#102C22×C311yescharacteristic
151C2×C22⋊C8C22×C311yescharacteristic
152C2×C4×C8C22×C311yescharacteristic
153C2×C4×C8C22×C311yescharacteristic
154#399—21no—
155#399—21no—
156#398—21no—
157#395—21no—
158#390C22×C311yescharacteristic
159#390C22×C311yescharacteristic
160#389C22×C311yescharacteristic
161#389C22×C311yescharacteristic
162#385—21no—
163#384C22×C311yescharacteristic
164#384C22×C311yescharacteristic
165#384C22×C311yescharacteristic
166#380C22×C311yescharacteristic
167C4×C22⋊C4C22×C311yescharacteristic
168#340C22×C311yescharacteristic
169#340C22×C311yescharacteristic
170#340C22×C311yescharacteristic
171#340C22×C311yescharacteristic
172#340C22×C311yescharacteristic
173#340C22×C311yescharacteristic
174#340C22×C311yescharacteristic
175#340C22×C311yescharacteristic
176#340C22×C311yescharacteristic
177#340C22×C311yescharacteristic
178#340C22×C311yescharacteristic
179#340C22×C311yescharacteristic
180#336C22×C311yescharacteristic
181#336C22×C311yescharacteristic
182C24×C3—21no—
183C24×C3C2×D411yescharacteristic
184C2×C3×Q8—42no—
185C2×C3×Q8—42no—
186C2×C3×Q8—81no—
187C2×C3×D4—21no—
188C2×C3×D4—21no—
189C2×C3×D4—21no—
190C2×C3×D4—21no—
191C2×C3×D4—21no—
192C2×C3×D4—21no—
193C2×C3×D4—42no—
194C2×C3×D4—42no—
195C2×C3×D4—42no—
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—42no—
208C22×C3×C4—42no—
209C22×C3×C4—42no—
210C22×C3×C4—42no—
211C22×C3×C4—42no—
212C22×C3×C4—81no—
213C22×C3×C4C2×D411yescharacteristic
214C22×C3×C4C2×D411yescharacteristic
215C22×C3×C4C2×D411yescharacteristic
216C22×C3×C4C2×D411yescharacteristic
217C22×C3×C4C2×D411yescharacteristic
218C22×C3×C4#4112yes—
219C22×C3×C4#4112yes—
220C22×C3×C4C2411yescharacteristic
221C2×C3×C8—21no—
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×C8—21no—
231C2×C3×C8—21no—
232C2×C3×C8—44no—
233C2×C3×C8#4112yes—
234C3×C4⋊C4—21no—
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—42no—
248C3×C4⋊C4—42no—
249C3×C4⋊C4—42no—
250C3×C4⋊C4—42no—
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—81no—
258C3×C4⋊C4#4112yes—
259C3×C22⋊C4—42no—
260C3×C22⋊C4—42no—
261C3×C22⋊C4—42no—
262C3×C22⋊C4—42no—
263C3×C22⋊C4—42no—
264C3×C22⋊C4—42no—
265C3×C22⋊C4D814yes—
266C3×C22⋊C4SD1614yes—
267C3×C42—21no—
268C3×C42—21no—
269C3×C42—21no—
270C3×C42—21no—
271C22×Q8—21no—
272C22×D4—21no—
273C22×D4C23×C311yescharacteristic
274C23×C4—21no—
275C23×C4—21no—
276C23×C4C23×C311yescharacteristic
277C22×C8—22no—
278C22×C8—22no—
279C22×C8—41no—
280C22×C8C23×C311yescharacteristic
281C22×C8C23×C311yescharacteristic
282C22×C8C23×C311yescharacteristic
283C22×C8C23×C311yescharacteristic
284C4⋊Q8—22no—
285C4⋊Q8—41no—
286#123—44no—
287#123—44no—
288C22⋊Q8—44no—
289#121—22no—
290#121—22no—
291C2×C4⋊C4—22no—
292C2×C4⋊C4—22no—
293C2×C4⋊C4—22no—
294C2×C4⋊C4—21no—
295C2×C4⋊C4—21no—
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⋊C4—21no—
305C2×C4⋊C4—41no—
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×C4⋊C4C23×C311yescharacteristic
313C2×C22⋊C4—21no—
314C2×C22⋊C4—21no—
315C2×C22⋊C4—21no—
316C2×C22⋊C4—21no—
317C2×C22⋊C4—21no—
318C2×C22⋊C4—21no—
319C2×C22⋊C4C3×D411yescharacteristic
320C2×C22⋊C4C3×D411yescharacteristic
321C2×C42C23×C311yescharacteristic
322C2×C42C23×C311yescharacteristic
323#102—22no—
324#102—22no—
325#102—41no—
326#102—41no—
327C22⋊C8—22no—
328C4×C8—22no—
329C4×C8—41no—
330#95—21no—
331#95—21no—
332#95—21no—
333#95C3×D411yescharacteristic
334#95C3×D411yescharacteristic
335C23×C3—21no—
336C23×C3—21no—
337C23×C3—21no—
338C23×C3—21no—
339C23×C3—41no—
340C23×C3—41no—
341C23×C3—41no—
342C23×C3—41no—
343C23×C3—41no—
344C23×C3—41no—
345C23×C3—41no—
346C23×C3#12412yes—
347C23×C3C2×D812yes—
348C23×C3C2×SD1612yes—
349C23×C3C22×D411yescharacteristic
350C3×Q8—84no—
351C3×D4—41no—
352C3×D4—41no—
353C3×D4—41no—
354C3×D4—41no—
355C3×D4—84no—
356C2×C3×C4—21no—
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—21no—
364C2×C3×C4—21no—
365C2×C3×C4—21no—
366C2×C3×C4—22no—
367C2×C3×C4—22no—
368C2×C3×C4—22no—
369C2×C3×C4—22no—
370C2×C3×C4—22no—
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—84no—
393C2×C3×C4#12412yes—
394C2×C3×C4C2×D812yes—
395C2×C3×C4C2×D812yes—
396C2×C3×C4C2×SD1612yes—
397C2×C3×C4C2×SD1612yes—
398C2×C3×C4C2×#4111yescharacteristic
399C2×C3×C4C2×#4111yescharacteristic
400C2×C3×C4C2×#4111yescharacteristic
401C2×C3×C4C2×#4111yescharacteristic
402C2×C3×C4H(5,𝔽2)11yescharacteristic
403C2×C3×C42−1+411yescharacteristic
404C3×C8—22no—
405C3×C8—41no—
406C3×C8—41no—
407C3×C8—41no—
408C24—21no—
409C24C2×C3×D411yescharacteristic
410C2×Q8—42no—
411C2×Q8—42no—
412C2×Q8—81no—
413C2×D4—21no—
414C2×D4—21no—
415C2×D4—21no—
416C2×D4—21no—
417C2×D4—21no—
418C2×D4—21no—
419C2×D4—42no—
420C2×D4—42no—
421C2×D4—42no—
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—21no—
429C22×C4—21no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—42no—
434C22×C4—42no—
435C22×C4—42no—
436C22×C4—42no—
437C22×C4—42no—
438C22×C4—81no—
439C22×C4C2×C3×D411yescharacteristic
440C22×C4C2×C3×D411yescharacteristic
441C22×C4C2×C3×D411yescharacteristic
442C22×C4C2×C3×D411yescharacteristic
443C22×C4C2×C3×D411yescharacteristic
444C22×C4C3×#4112yes—
445C22×C4C3×#4112yes—
446C22×C4C24×C311yescharacteristic
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×C8—21no—
456C2×C8—21no—
457C2×C8—21no—
458C2×C8—44no—
459C2×C8C3×#4112yes—
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—21no—
470C4⋊C4—21no—
471C4⋊C4—21no—
472C4⋊C4—21no—
473C4⋊C4—42no—
474C4⋊C4—42no—
475C4⋊C4—42no—
476C4⋊C4—42no—
477C4⋊C4—42no—
478C4⋊C4—42no—
479C4⋊C4—42no—
480C4⋊C4—42no—
481C4⋊C4—42no—
482C4⋊C4—42no—
483C4⋊C4—81no—
484C4⋊C4C3×#4112yes—
485C22⋊C4—42no—
486C22⋊C4—42no—
487C22⋊C4—42no—
488C22⋊C4—42no—
489C22⋊C4—42no—
490C22⋊C4—42no—
491C22⋊C4C3×D814yes—
492C22⋊C4C3×SD1614yes—
493C42—21no—
494C42—21no—
495C42—21no—
496C42—21no—
497C22×C3—22no—
498C22×C3—22no—
499C22×C3—22no—
500C22×C3—22no—
501C22×C3—22no—
502C22×C3—22no—
503C22×C3—81no—
504C22×C3—81no—
505C22×C3—81no—
506C22×C3—81no—
507C22×C3—81no—
508C22×C3—81no—
509C22×C3—81no—
510C22×C3#48614yes—
511C22×C3C2×#12411yescharacteristic
512C22×C3#54611yescharacteristic
513C22×C3#54711yescharacteristic
514C22×C3C22×D811yescharacteristic
515C22×C3C22×SD1611yescharacteristic
516C22×C3#57711yescharacteristic
517C22×C3#57811yescharacteristic
518C3×C4—22no—
519C3×C4—22no—
520C3×C4—22no—
521C3×C4—22no—
522C3×C4—22no—
523C3×C4—42no—
524C3×C4—81no—
525C3×C4—81no—
526C3×C4—81no—
527C3×C4—81no—
528C3×C4—81no—
529C3×C4—81no—
530C3×C4#52911yescharacteristic
531C3×C4#53911yescharacteristic
532C3×C4#55111yescharacteristic
533C3×C4#55211yescharacteristic
534C23—21no—
535C23—21no—
536C23—21no—
537C23—21no—
538C23—41no—
539C23—41no—
540C23—41no—
541C23—41no—
542C23—41no—
543C23—41no—
544C23—41no—
545C23C3×#12412yes—
546C23C2×C3×D812yes—
547C23C2×C3×SD1612yes—
548C23C22×C3×D411yescharacteristic
549Q8—84no—
550D4—41no—
551D4—41no—
552D4—41no—
553D4—41no—
554D4—84no—
555C2×C4—21no—
556C2×C4—21no—
557C2×C4—21no—
558C2×C4—21no—
559C2×C4—21no—
560C2×C4—21no—
561C2×C4—21no—
562C2×C4—21no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
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—41no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—84no—
591C2×C4—84no—
592C2×C4C3×#12412yes—
593C2×C4C2×C3×D812yes—
594C2×C4C2×C3×D812yes—
595C2×C4C2×C3×SD1612yes—
596C2×C4C2×C3×SD1612yes—
597C2×C4C2×C3×#4111yescharacteristic
598C2×C4C2×C3×#4111yescharacteristic
599C2×C4C2×C3×#4111yescharacteristic
600C2×C4C2×C3×#4111yescharacteristic
601C2×C4C3×H(5,𝔽2)11yescharacteristic
602C2×C4C3×2−1+411yescharacteristic
603C8—22no—
604C8—41no—
605C8—41no—
606C8—41no—
607C2×C3—24no—
608C2×C3—161no—
609C2×C3#248811yescharacteristic
610C2×C3C2×#48611yescharacteristic
611C2×C3#313711yescharacteristic
612C2×C3#329411yescharacteristic
613C2×C3#329811yescharacteristic
614C2×C3#333411yescharacteristic
615C2×C3#333511yescharacteristic
616C22—22no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—22no—
621C22—22no—
622C22—81no—
623C22—81no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22C3×#48614yes—
630C22C2×C3×#12411yescharacteristic
631C22C3×#54611yescharacteristic
632C22C3×#54711yescharacteristic
633C22C22×C3×D811yescharacteristic
634C22C22×C3×SD1611yescharacteristic
635C22C3×#57711yescharacteristic
636C22C3×#57811yescharacteristic
637C4—22no—
638C4—22no—
639C4—22no—
640C4—22no—
641C4—22no—
642C4—42no—
643C4—81no—
644C4—81no—
645C4—81no—
646C4—81no—
647C4—81no—
648C4—81no—
649C4C3×#52911yescharacteristic
650C4C3×#53911yescharacteristic
651C4C3×#55111yescharacteristic
652C4C3×#55211yescharacteristic
653C3#2769511yescharacteristic, direct product factor, Sylow
654C2—24no—
655C2—161no—
656C2C3×#248811yescharacteristic
657C2C2×C3×#48611yescharacteristic
658C2C3×#313711yescharacteristic
659C2C3×#329411yescharacteristic
660C2C3×#329811yescharacteristic
661C2C3×#333411yescharacteristic
662C2C3×#333511yescharacteristic
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
2. C3×#2440C2semidirect
3. C3×#2099C2semidirect
4. C3×#2099C2semidirect
5. C3×#2071C2semidirect
6. C3×#2023C2semidirect
7. C3×#1990C2semidirect
8. C3×#1934C2semidirect
9. C3×#1934C2semidirect
12. C3×#1834C2semidirect
13. C3×#1823C2semidirect
14. C3×C8×C22⋊C4C2semidirect
15. C2×C3×#340C2semidirect
16. #27695C3direct (N × H)
61. #2440C2×C3semidirect
62. #2099C2×C3semidirect
63. #2099C2×C3semidirect
64. #2071C2×C3semidirect
65. #2023C2×C3semidirect
66. #1990C2×C3semidirect
67. #1934C2×C3semidirect
68. #1934C2×C3semidirect
71. #1834C2×C3semidirect
72. #1823C2×C3semidirect
73. C8×C22⋊C4C2×C3semidirect
74. C2×#340C2×C3semidirect
653. C3#27695direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#25012
C3×#24402
C3×#20992
C3×#20712
C3×#20232
C3×#19902
C3×#19342
C3×#18932
C3×#18742
C3×#18342
C3×#18232
C3×C8×C22⋊C42
C2×C3×#3402
#276953