Finite Group Databasebeta

← C3×#26730 #10645337

Subgroups — C3×#26730 #10645337

Order 768.

824 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×#2490C211yesmaximal, characteristic, complemented
2C3×#2363C211yesmaximal, characteristic, complemented
3C3×#2054C211yesmaximal, characteristic, complemented
4C3×#2033C211yesmaximal, characteristic, complemented
5C3×#2025C211yesmaximal, characteristic, complemented
6C3×#1999C211yesmaximal, characteristic
7C3×#1989C211yesmaximal, characteristic, complemented
8C3×#1934C211yesmaximal, characteristic, complemented
9C3×#1925C211yesmaximal, characteristic, complemented
10C3×#1923C211yesmaximal, characteristic, complemented
11C3×#1921C211yesmaximal, characteristic, complemented
12C3×#1879C211yesmaximal, characteristic, complemented
13C3×#1875C211yesmaximal, characteristic, complemented
14C3×#1825C211yesmaximal, characteristic, complemented
15C3×C4×#102C211yesmaximal, characteristic, complemented
16#26730C311yesmaximal, characteristic, direct product factor, Sylow
17C22×C3×D8C2211yescharacteristic
18C2×C3×#125C2211yescharacteristic
19C2×C3×#121C2211yescharacteristic
20C2×C3×#121C2211yescharacteristic
21C2×C3×C4×D4C2211yescharacteristic
22C2×C3×#117C2211yescharacteristic
23C2×C3×#107C2211yescharacteristic
24C2×C3×C4⋊C8C2211yescharacteristic
25C2×C3×#102C2211yescharacteristic
26C2×C3×#102C2211yescharacteristic
27C2×C3×#102C2211yescharacteristic
28C2×C3×#102C2211yescharacteristic
29C2×C3×#102C2211yescharacteristic
30C2×C3×#102C2211yescharacteristic
31C2×C3×C22⋊C8C2211yescharacteristic
32C2×C3×C22⋊C8C2211yescharacteristic
33C2×C3×C4×C8C2211yescharacteristic
34C3×#397—21no—
35C3×#394—21no—
36C3×#390—21no—
37C3×#390—21no—
38C3×#390C2211yescharacteristic
39C3×#390C2211yescharacteristic
40C3×#390C2211yescharacteristic
41C3×#389C2211yescharacteristic
42C3×#388—21no—
43C3×#388—21no—
44C3×#386—21no—
45C3×#380C2211yescharacteristic
46C3×C4×C4⋊C4C2211yescharacteristic
47C3×C4×C4⋊C4C2211yescharacteristic
48C3×C4×C22⋊C4—21no—
49C3×C4×C22⋊C4C2211yescharacteristic
50C3×#340C2211yescharacteristic
51C3×#340C2211yescharacteristic
52C3×#340C2211yescharacteristic
53C3×#340C2211yescharacteristic
54C3×#340C2211yescharacteristic
55C3×#340C2211yescharacteristic
56C3×#340C2211yescharacteristic
57C3×#340C2211yescharacteristic
58C3×#336C2211yescharacteristic
59C3×#336C2211yescharacteristic
60#2490C2×C311yescharacteristic, complemented
61#2363C2×C311yescharacteristic, complemented
62#2054C2×C311yescharacteristic, complemented
63#2033C2×C311yescharacteristic, complemented
64#2025C2×C311yescharacteristic, complemented
65#1999C2×C311yescharacteristic
66#1989C2×C311yescharacteristic, complemented
67#1934C2×C311yescharacteristic, complemented
68#1925C2×C311yescharacteristic, complemented
69#1923C2×C311yescharacteristic, complemented
70#1921C2×C311yescharacteristic, complemented
71#1879C2×C311yescharacteristic, complemented
72#1875C2×C311yescharacteristic, complemented
73#1825C2×C311yescharacteristic, complemented
74C4×#102C2×C311yescharacteristic, complemented
75C22×C3×D4—21no—
76C22×C3×D4—21no—
77C22×C3×D4C2311yescharacteristic
78C22×C3×D4C2311yescharacteristic
79C23×C3×C4—21no—
80C23×C3×C4C2311yescharacteristic
81C2×C3×D8—22no—
82C2×C3×D8—41no—
83C2×C3×D8—41no—
84C22×C3×C8C2311yescharacteristic
85C22×C3×C8C2311yescharacteristic
86C22×C3×C8C2311yescharacteristic
87C22×C3×C8C2311yescharacteristic
88C3×#125—22no—
89C3×#125—41no—
90C3×#121—22no—
91C3×#121—22no—
92C3×#121—22no—
93C3×#121—41no—
94C3×C4×D4—22no—
95C3×C4×D4—41no—
96C3×#117—22no—
97C3×#117—41no—
98C2×C3×C4⋊C4—21no—
99C2×C3×C4⋊C4—21no—
100C2×C3×C4⋊C4—21no—
101C2×C3×C4⋊C4C2311yescharacteristic
102C2×C3×C4⋊C4C2311yescharacteristic
103C2×C3×C4⋊C4C2311yescharacteristic
104C2×C3×C4⋊C4C2311yescharacteristic
105C2×C3×C4⋊C4C2311yescharacteristic
106C2×C3×C4⋊C4C2311yescharacteristic
107C2×C3×C22⋊C4—21no—
108C2×C3×C22⋊C4—21no—
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⋊C4—21no—
117C2×C3×C22⋊C4—21no—
118C2×C3×C22⋊C4D411yescharacteristic
119C2×C3×C22⋊C4D411yescharacteristic
120C2×C3×C42—21no—
121C2×C3×C42—21no—
122C2×C3×C42—21no—
123C2×C3×C42C2311yescharacteristic
124C2×C3×C42C2311yescharacteristic
125C3×#107—22no—
126C3×C4⋊C8—41no—
127C3×#102—22no—
128C3×#102—22no—
129C3×#102—22no—
130C3×#102—22no—
131C3×#102—41no—
132C3×#102—41no—
133C3×C22⋊C8—41no—
134C3×C22⋊C8—41no—
135C3×C4×C8—41no—
136C3×#95—21no—
137C3×#95—21no—
138C3×#95—21no—
139C3×#95—21no—
140C3×#95D411yescharacteristic
141C3×#95D411yescharacteristic
142C22×D8C22×C311yescharacteristic
143C2×#125C22×C311yescharacteristic
144C2×#121C22×C311yescharacteristic
145C2×#121C22×C311yescharacteristic
146C2×C4×D4C22×C311yescharacteristic
147C2×#117C22×C311yescharacteristic
148C2×#107C22×C311yescharacteristic
149C2×C4⋊C8C22×C311yescharacteristic
150C2×#102C22×C311yescharacteristic
151C2×#102C22×C311yescharacteristic
152C2×#102C22×C311yescharacteristic
153C2×#102C22×C311yescharacteristic
154C2×#102C22×C311yescharacteristic
155C2×#102C22×C311yescharacteristic
156C2×C22⋊C8C22×C311yescharacteristic
157C2×C22⋊C8C22×C311yescharacteristic
158C2×C4×C8C22×C311yescharacteristic
159#397—21no—
160#394—21no—
161#390—21no—
162#390—21no—
163#390C22×C311yescharacteristic
164#390C22×C311yescharacteristic
165#390C22×C311yescharacteristic
166#389C22×C311yescharacteristic
167#388—21no—
168#388—21no—
169#386—21no—
170#380C22×C311yescharacteristic
171C4×C4⋊C4C22×C311yescharacteristic
172C4×C4⋊C4C22×C311yescharacteristic
173C4×C22⋊C4—21no—
174C4×C22⋊C4C22×C311yescharacteristic
175#340C22×C311yescharacteristic
176#340C22×C311yescharacteristic
177#340C22×C311yescharacteristic
178#340C22×C311yescharacteristic
179#340C22×C311yescharacteristic
180#340C22×C311yescharacteristic
181#340C22×C311yescharacteristic
182#340C22×C311yescharacteristic
183#336C22×C311yescharacteristic
184#336C22×C311yescharacteristic
185C24×C3—21no—
186C24×C3—21no—
187C24×C3C2×D411yescharacteristic
188C2×C3×D4—24no—
189C2×C3×D4—21no—
190C2×C3×D4—21no—
191C2×C3×D4—21no—
192C2×C3×D4—21no—
193C2×C3×D4—21no—
194C2×C3×D4—21no—
195C2×C3×D4—21no—
196C2×C3×D4—21no—
197C2×C3×D4—21no—
198C2×C3×D4—21no—
199C2×C3×D4—21no—
200C2×C3×D4—42no—
201C2×C3×D4—42no—
202C2×C3×D4—81no—
203C2×C3×D4—81no—
204C2×C3×D4—81no—
205C2×C3×D4#4112yes—
206C22×C3×C4—21no—
207C22×C3×C4—21no—
208C22×C3×C4—21no—
209C22×C3×C4—21no—
210C22×C3×C4—21no—
211C22×C3×C4—21no—
212C22×C3×C4—21no—
213C22×C3×C4—21no—
214C22×C3×C4—21no—
215C22×C3×C4—21no—
216C22×C3×C4—21no—
217C22×C3×C4—21no—
218C22×C3×C4—42no—
219C22×C3×C4—42no—
220C22×C3×C4—81no—
221C22×C3×C4C2×D411yescharacteristic
222C22×C3×C4C2×D411yescharacteristic
223C22×C3×C4C2×D411yescharacteristic
224C22×C3×C4C2×D411yescharacteristic
225C22×C3×C4C2×D411yescharacteristic
226C22×C3×C4C2411yescharacteristic
227C3×D8—44no—
228C2×C3×C8—21no—
229C2×C3×C8—21no—
230C2×C3×C8—21no—
231C2×C3×C8—21no—
232C2×C3×C8—21no—
233C2×C3×C8—21no—
234C2×C3×C8—21no—
235C2×C3×C8—21no—
236C2×C3×C8—21no—
237C2×C3×C8—21no—
238C2×C3×C8—21no—
239C2×C3×C8—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—42no—
250C3×C4⋊C4—42no—
251C3×C4⋊C4—81no—
252C3×C4⋊C4#4112yes—
253C3×C4⋊C4#4112yes—
254C3×C4⋊C4#4112yes—
255C3×C22⋊C4—24no—
256C3×C22⋊C4—22no—
257C3×C22⋊C4—41no—
258C3×C22⋊C4—42no—
259C3×C22⋊C4—42no—
260C3×C22⋊C4—42no—
261C3×C22⋊C4—42no—
262C3×C22⋊C4—42no—
263C3×C22⋊C4—81no—
264C3×C22⋊C4—81no—
265C3×C22⋊C4—81no—
266C3×C22⋊C4—81no—
267C3×C22⋊C4—81no—
268C3×C42—21no—
269C3×C42—21no—
270C3×C42—21no—
271C3×C42—21no—
272C3×C42—42no—
273C3×C42—81no—
274C3×C42—81no—
275C22×D4—21no—
276C22×D4—21no—
277C22×D4C23×C311yescharacteristic
278C22×D4C23×C311yescharacteristic
279C23×C4—21no—
280C23×C4C23×C311yescharacteristic
281C2×D8—22no—
282C2×D8—41no—
283C2×D8—41no—
284C22×C8C23×C311yescharacteristic
285C22×C8C23×C311yescharacteristic
286C22×C8C23×C311yescharacteristic
287C22×C8C23×C311yescharacteristic
288#125—22no—
289#125—41no—
290#121—22no—
291#121—22no—
292#121—22no—
293#121—41no—
294C4×D4—22no—
295C4×D4—41no—
296#117—22no—
297#117—41no—
298C2×C4⋊C4—21no—
299C2×C4⋊C4—21no—
300C2×C4⋊C4—21no—
301C2×C4⋊C4C23×C311yescharacteristic
302C2×C4⋊C4C23×C311yescharacteristic
303C2×C4⋊C4C23×C311yescharacteristic
304C2×C4⋊C4C23×C311yescharacteristic
305C2×C4⋊C4C23×C311yescharacteristic
306C2×C4⋊C4C23×C311yescharacteristic
307C2×C22⋊C4—21no—
308C2×C22⋊C4—21no—
309C2×C22⋊C4—21no—
310C2×C22⋊C4—21no—
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—
326C4⋊C8—41no—
327#102—22no—
328#102—22no—
329#102—22no—
330#102—22no—
331#102—41no—
332#102—41no—
333C22⋊C8—41no—
334C22⋊C8—41no—
335C4×C8—41no—
336#95—21no—
337#95—21no—
338#95—21no—
339#95—21no—
340#95C3×D411yescharacteristic
341#95C3×D411yescharacteristic
342C23×C3—22no—
343C23×C3—21no—
344C23×C3—21no—
345C23×C3—21no—
346C23×C3—21no—
347C23×C3—21no—
348C23×C3—21no—
349C23×C3—21no—
350C23×C3—41no—
351C23×C3—41no—
352C23×C3—41no—
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×C3C22×D411yescharacteristic
364C3×D4—22no—
365C3×D4—22no—
366C3×D4—41no—
367C3×D4—41no—
368C3×D4—41no—
369C3×D4—41no—
370C3×D4—41no—
371C3×D4—41no—
372C3×D4—84no—
373C3×D4—84no—
374C2×C3×C4—21no—
375C2×C3×C4—21no—
376C2×C3×C4—21no—
377C2×C3×C4—22no—
378C2×C3×C4—21no—
379C2×C3×C4—21no—
380C2×C3×C4—21no—
381C2×C3×C4—21no—
382C2×C3×C4—22no—
383C2×C3×C4—21no—
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—84no—
411C2×C3×C4#13512yes—
412C2×C3×C4C2×#4111yescharacteristic
413C2×C3×C4C2×#4111yescharacteristic
414C2×C3×C4C2×#4111yescharacteristic
415C2×C3×C4C2×#4111yescharacteristic
416C2×C3×C4H(5,𝔽2)11yescharacteristic
417C2×C3×C4H(5,𝔽2)11yescharacteristic
418C3×C8—41no—
419C3×C8—41no—
420C3×C8—41no—
421C3×C8—41no—
422C24—21no—
423C24—21no—
424C24C2×C3×D411yescharacteristic
425C2×D4—24no—
426C2×D4—21no—
427C2×D4—21no—
428C2×D4—21no—
429C2×D4—21no—
430C2×D4—21no—
431C2×D4—21no—
432C2×D4—21no—
433C2×D4—21no—
434C2×D4—21no—
435C2×D4—21no—
436C2×D4—21no—
437C2×D4—42no—
438C2×D4—42no—
439C2×D4—81no—
440C2×D4—81no—
441C2×D4—81no—
442C2×D4C3×#4112yes—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
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—42no—
456C22×C4—42no—
457C22×C4—81no—
458C22×C4C2×C3×D411yescharacteristic
459C22×C4C2×C3×D411yescharacteristic
460C22×C4C2×C3×D411yescharacteristic
461C22×C4C2×C3×D411yescharacteristic
462C22×C4C2×C3×D411yescharacteristic
463C22×C4C24×C311yescharacteristic
464D8—44no—
465C2×C8—21no—
466C2×C8—21no—
467C2×C8—21no—
468C2×C8—21no—
469C2×C8—21no—
470C2×C8—21no—
471C2×C8—21no—
472C2×C8—21no—
473C2×C8—21no—
474C2×C8—21no—
475C2×C8—21no—
476C2×C8—21no—
477C4⋊C4—21no—
478C4⋊C4—21no—
479C4⋊C4—21no—
480C4⋊C4—21no—
481C4⋊C4—21no—
482C4⋊C4—21no—
483C4⋊C4—21no—
484C4⋊C4—21no—
485C4⋊C4—21no—
486C4⋊C4—42no—
487C4⋊C4—42no—
488C4⋊C4—81no—
489C4⋊C4C3×#4112yes—
490C4⋊C4C3×#4112yes—
491C4⋊C4C3×#4112yes—
492C22⋊C4—24no—
493C22⋊C4—22no—
494C22⋊C4—41no—
495C22⋊C4—42no—
496C22⋊C4—42no—
497C22⋊C4—42no—
498C22⋊C4—42no—
499C22⋊C4—42no—
500C22⋊C4—81no—
501C22⋊C4—81no—
502C22⋊C4—81no—
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—42no—
514C22×C3—41no—
515C22×C3—42no—
516C22×C3—41no—
517C22×C3—42no—
518C22×C3—41no—
519C22×C3—41no—
520C22×C3—41no—
521C22×C3—41no—
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×C3—81no—
532C22×C3—81no—
533C22×C3#52511yescharacteristic
534C22×C3#54611yescharacteristic
535C22×C3#54611yescharacteristic
536C22×C3C2×#13511yescharacteristic
537C22×C3#57511yescharacteristic
538C22×C3#57611yescharacteristic
539C22×C3#57611yescharacteristic
540C3×C4—22no—
541C3×C4—42no—
542C3×C4—41no—
543C3×C4—42no—
544C3×C4—41no—
545C3×C4—41no—
546C3×C4—41no—
547C3×C4—42no—
548C3×C4—81no—
549C3×C4—81no—
550C3×C4—81no—
551C3×C4#52911yescharacteristic
552C3×C4#53811yescharacteristic
553C3×C4#55511yescharacteristic
554C3×C4#55911yescharacteristic
555C23—21no—
556C23—21no—
557C23—21no—
558C23—21no—
559C23—22no—
560C23—21no—
561C23—21no—
562C23—21no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23—41no—
575C23—41no—
576C23C22×C3×D411yescharacteristic
577D4—22no—
578D4—22no—
579D4—41no—
580D4—41no—
581D4—41no—
582D4—41no—
583D4—41no—
584D4—41no—
585D4—84no—
586D4—84no—
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—22no—
597C2×C4—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—22no—
602C2×C4—21no—
603C2×C4—22no—
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—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—41no—
622C2×C4—41no—
623C2×C4—84no—
624C2×C4C3×#13512yes—
625C2×C4C2×C3×#4111yescharacteristic
626C2×C4C2×C3×#4111yescharacteristic
627C2×C4C2×C3×#4111yescharacteristic
628C2×C4C2×C3×#4111yescharacteristic
629C2×C4C3×H(5,𝔽2)11yescharacteristic
630C2×C4C3×H(5,𝔽2)11yescharacteristic
631C8—41no—
632C8—41no—
633C8—41no—
634C8—41no—
635C2×C3—81no—
636C2×C3—82no—
637C2×C3—161no—
638C2×C3#245911yescharacteristic
639C2×C3#310211yescharacteristic
640C2×C3#312211yescharacteristic
641C2×C3#329711yescharacteristic
642C2×C3#330511yescharacteristic
643C2×C3#330911yescharacteristic
644C2×C3#332211yescharacteristic
645C22—41no—
646C22—42no—
647C22—41no—
648C22—41no—
649C22—41no—
650C22—41no—
651C22—41no—
652C22—42no—
653C22—41no—
654C22—42no—
655C22—81no—
656C22—81no—
657C22—81no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22—81no—
662C22—81no—
663C22—81no—
664C22—81no—
665C22—81no—
666C22C3×#52511yescharacteristic
667C22C3×#54611yescharacteristic
668C22C3×#54611yescharacteristic
669C22C2×C3×#13511yescharacteristic
670C22C3×#57511yescharacteristic
671C22C3×#57611yescharacteristic
672C22C3×#57611yescharacteristic
673C4—22no—
674C4—41no—
675C4—42no—
676C4—41no—
677C4—41no—
678C4—41no—
679C4—42no—
680C4—42no—
681C4—81no—
682C4—81no—
683C4—81no—
684C4C3×#52911yescharacteristic
685C4C3×#53811yescharacteristic
686C4C3×#55511yescharacteristic
687C4C3×#55911yescharacteristic
688C3#2673011yescharacteristic, direct product factor, Sylow
689C2—81no—
690C2—82no—
691C2—161no—
692C2C3×#245911yescharacteristic
693C2C3×#310211yescharacteristic
694C2C3×#312211yescharacteristic
695C2C3×#329711yescharacteristic
696C2C3×#330511yescharacteristic
697C2C3×#330911yescharacteristic
698C2C3×#332211yescharacteristic
subgroupG/H
center, socleC23×C3C22×D4
commutator, Frattini, cosocleC22×C4C24×C3
prime radicalC3×#1999C2
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. C3×#2490C2semidirect
2. C3×#2363C2semidirect
3. C3×#2054C2semidirect
4. C3×#2033C2semidirect
5. C3×#2025C2semidirect
7. C3×#1989C2semidirect
8. C3×#1934C2semidirect
9. C3×#1925C2semidirect
10. C3×#1923C2semidirect
11. C3×#1921C2semidirect
12. C3×#1879C2semidirect
13. C3×#1875C2semidirect
14. C3×#1825C2semidirect
15. C3×C4×#102C2semidirect
16. #26730C3direct (N × H)
60. #2490C2×C3semidirect
61. #2363C2×C3semidirect
62. #2054C2×C3semidirect
63. #2033C2×C3semidirect
64. #2025C2×C3semidirect
66. #1989C2×C3semidirect
67. #1934C2×C3semidirect
68. #1925C2×C3semidirect
69. #1923C2×C3semidirect
70. #1921C2×C3semidirect
71. #1879C2×C3semidirect
72. #1875C2×C3semidirect
73. #1825C2×C3semidirect
74. C4×#102C2×C3semidirect
688. C3#26730direct (N × H)

Maximal subgroups

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

subgroupindex
C3×#24902
C3×#23632
C3×#20542
C3×#20332
C3×#20252
C3×#19992
C3×#19892
C3×#19342
C3×#19252
C3×#19232
C3×#19212
C3×#18792
C3×#18752
C3×#18252
C3×C4×#1022
#267303