Finite Group Databasebeta

← #10795126

Subgroups — #10795126

Order 768.

1378 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×#237C211yesmaximal, characteristic
2#73863C212yesmaximal, complemented
3C3×#1799C211yesmaximal, characteristic, complemented
4#71619C211yesmaximal, characteristic, complemented
5#70027C212yesmaximal
6Dic3×#99C212yesmaximal, complemented
7#69530C212yesmaximal, complemented
8#68953C212yesmaximal, complemented
9#68952C212yesmaximal, complemented
10#20723—31nomaximal, Sylow
11C22×#237C2211yescharacteristic
12C2×C3×C4×D4C2211yescharacteristic
13C2×D4×Dic3C2211yescharacteristic
14C2×C4×#67C411yescharacteristic, complemented
15C2×C4×#67C2211yescharacteristic
16C22×C4×Dic3C411yescharacteristic, complemented
17C22×C4×Dic3C2211yescharacteristic
18C4×#237—22no—
19C4×#237—22no—
20C4×#237—22no—
21C4×#237—22no—
22C2×#892C411yescharacteristic, complemented
23C2×#887C411yescharacteristic, complemented
24C2×#67⋊C4C411yescharacteristic, complemented
25C2×#67⋊C4C2211yescharacteristic
26C2×#877C411yescharacteristic, complemented
27C2×#877C2211yescharacteristic
28C2×C42×D3C411yescharacteristic, complemented
29C2×C4×Dic6C411yescharacteristic, complemented
30C2×C3×#99C2212yes—
31C3×#380C2212yes—
32C2×#834C2212yes—
33#5212C2212yes—
34#4977—22no—
35Dic3×C4⋊C4—22no—
36C2×#806C2214yes—
37#4943C2214yes—
38Dic3×C22⋊C4C2214yes—
39#4651—22no—
40#4648—22no—
41C3×#342C2212yes—
42#4527C2214yes—
43#4526C2212yes—
44C2×C4×#41—31no—
45#2283—32no—
46#1820—32no—
47#1799—32no—
48#1799—31no—
49#1799D311yescharacteristic, complemented
50#1782—32no—
51C4×#99—32no—
52C4×#99—32no—
53C22×C3×D4C2311yescharacteristic
54C23×C3×C4C2×C411yescharacteristic
55C23×C3×C4C2311yescharacteristic
56C22×#67C2×C411yescharacteristic
57C22×#67C2311yescharacteristic
58C23×Dic3C2×C411yescharacteristic
59C23×Dic3C2×C411yescharacteristic
60C23×Dic3C2311yescharacteristic
61C23×Dic3C2311yescharacteristic
62C2×#237—22no—
63C2×#237—22no—
64C2×#237—24no—
65C2×#237—22no—
66C2×#237—22no—
67C22×C4×D3C2×C411yescharacteristic
68C22×C4×D3C2×C411yescharacteristic
69C22×C4×D3C2×C411yescharacteristic
70C22×Dic6C2×C411yescharacteristic
71C3×C4×D4—22no—
72C3×C4×D4—22no—
73C2×C3×C4⋊C4—22no—
74C2×C3×C4⋊C4C2×C411yescharacteristic
75C2×C3×C22⋊C4C2×C411yescharacteristic
76C2×C3×C22⋊C4C2314yes—
77C2×C3×C22⋊C4C2311yescharacteristic
78C2×C3×C42C2×C411yescharacteristic
79C2×#217C2×C411yescharacteristic
80C2×#217C2314yes—
81C2×#217C2311yescharacteristic
82D4×Dic3—22no—
83D4×Dic3—22no—
84C4×#67—22no—
85C4×#67—22no—
86C4×#67—22no—
87C4×#67—22no—
88C2×(C2×D3)⋊C4C2×C411yescharacteristic
89C2×(C2×D3)⋊C4C2×C411yescharacteristic
90C2×C4⋊Dic3—22no—
91C2×C4⋊Dic3C2×C411yescharacteristic
92C2×Dic3⋊C4C2×C411yescharacteristic
93C2×Dic3⋊C4C2×C411yescharacteristic
94C2×Dic3⋊C4C2×C411yescharacteristic
95C2×Dic3⋊C4C2×C411yescharacteristic
96C2×C4×Dic3—21no—
97C2×C4×Dic3—21no—
98C2×C4×Dic3—21no—
99C2×C4×Dic3—21no—
100C2×C4×Dic3—24no—
101C2×C4×Dic3C2×C411yescharacteristic
102C2×C4×Dic3C2×C411yescharacteristic
103C2×C4×Dic3C2×C411yescharacteristic
104C2×C4×Dic3C2×C411yescharacteristic
105C2×C4×Dic3C2×C411yescharacteristic
106C2×C4×Dic3C2×C411yescharacteristic
107C2×C4×Dic3C2×C411yescharacteristic
108C2×C4×Dic3C2×C411yescharacteristic
109C2×C4×Dic3C2×C411yescharacteristic
110C2×C4×Dic3D412yes—
111C2×C4×Dic3D412yes—
112C2×C4×Dic3D412yes—
113C2×C4×Dic3D412yes—
114#892—22no—
115#892—22no—
116#887—22no—
117#887—22no—
118#67⋊C4—22no—
119#67⋊C4—22no—
120#67⋊C4—22no—
121#67⋊C4—22no—
122#877—22no—
123#877—22no—
124#877—22no—
125#877—22no—
126C42×D3—21no—
127C42×D3—21no—
128C42×D3—21no—
129C42×D3—21no—
130C4×Dic6—22no—
131C4×Dic6—22no—
132C3×#99—24no—
133C3×#95—22no—
134#834—24no—
135C3⋊#95—22no—
136C3⋊#95—24no—
137C3⋊#95—24no—
138C3⋊#95—24no—
139#806—28no—
140C22×#41—31no—
141C4×#41—62no—
142C4×#41—62no—
143C4×#41—62no—
144C4×#41—62no—
145C2×C4×Q8—31no—
146C2×C4×Q8—31no—
147C2×C4×D4—31no—
148C2×C4×D4—31no—
149C2×C4×D4—31no—
150C2×C4×D4—31no—
151C2×C4×D4—31no—
152C2×C4×D4C2×D311yescharacteristic
153C2×#117—31no—
154C2×#117—31no—
155C2×#117—31no—
156C22×C42—31no—
157C22×C42—31no—
158C22×C42—31no—
159C2×#99—32no—
160C2×#99—34no—
161C2×#99C2×D312yes—
162#383—62no—
163#382—62no—
164#381—34no—
165#380—32no—
166#380C2×D312yes—
167C4×C4⋊C4—62no—
168C4×C22⋊C4—34no—
169#376—62no—
170#342—32no—
171#342—34no—
172#342C2×D312yes—
173C24×C3C22×C411yescharacteristic
174C24×C3C2411yescharacteristic
175C23×D3C22×C411yescharacteristic
176C2×C3×D4—22no—
177C2×C3×D4—22no—
178C2×C3×D4#4112yes—
179C2×C3×D4#4112yes—
180C22×C3×C4—21no—
181C22×C3×C4—21no—
182C22×C3×C4—24no—
183C22×C3×C4—42no—
184C22×C3×C4—42no—
185C22×C3×C4C22×C411yescharacteristic
186C22×C3×C4C22×C411yescharacteristic
187C22×C3×C4C22×C411yescharacteristic
188C22×C3×C4C22×C411yescharacteristic
189C22×C3×C4C22×C411yescharacteristic
190C22×C3×C4C2×D412yes—
191C22×C3×C4C2×D412yes—
192C2×#67—22no—
193C2×#67—22no—
194C2×#67—21no—
195C2×#67—21no—
196C2×#67—22no—
197C2×#67—22no—
198C2×#67#4114yes—
199C22×Dic3—22no—
200C22×Dic3—21no—
201C22×Dic3—21no—
202C22×Dic3—22no—
203C22×Dic3—21no—
204C22×Dic3—21no—
205C22×Dic3—22no—
206C22×Dic3—21no—
207C22×Dic3—21no—
208C22×Dic3—24no—
209C22×Dic3—42no—
210C22×Dic3—42no—
211C22×Dic3C22×C411yescharacteristic
212C22×Dic3C22×C411yescharacteristic
213C22×Dic3C22×C411yescharacteristic
214C22×Dic3C22×C411yescharacteristic
215C22×Dic3C22×C411yescharacteristic
216C22×Dic3C22×C411yescharacteristic
217C22×Dic3C22×C411yescharacteristic
218C22×Dic3C2×D412yes—
219C22×Dic3C2×D412yes—
220C22×Dic3C2×D412yes—
221C22×Dic3C2×D412yes—
222#237—28no—
223#237—28no—
224#237—28no—
225#237—28no—
226C2×C4×D3—22no—
227C2×C4×D3—22no—
228C2×C4×D3—21no—
229C2×C4×D3—21no—
230C2×C4×D3—21no—
231C2×C4×D3—21no—
232C2×C4×D3—21no—
233C2×C4×D3—21no—
234C2×C4×D3—42no—
235C2×C4×D3—42no—
236C2×Dic6—22no—
237C2×Dic6—22no—
238C2×Dic6—22no—
239C3×C4⋊C4—22no—
240C3×C4⋊C4—44no—
241C3×C22⋊C4—22no—
242C3×C22⋊C4—22no—
243C3×C22⋊C4—24no—
244C3×C22⋊C4—24no—
245C3×C42—21no—
246C3×C42—21no—
247#217—22no—
248#217—22no—
249#217—24no—
250#217—24no—
251(C2×D3)⋊C4—22no—
252(C2×D3)⋊C4—22no—
253C4⋊Dic3—22no—
254C4⋊Dic3—44no—
255Dic3⋊C4—22no—
256Dic3⋊C4—22no—
257Dic3⋊C4—22no—
258Dic3⋊C4—22no—
259C4×Dic3—21no—
260C4×Dic3—21no—
261C4×Dic3—21no—
262C4×Dic3—21no—
263C4×Dic3—21no—
264C4×Dic3—21no—
265C4×Dic3—21no—
266C4×Dic3—21no—
267C4×Dic3—21no—
268C4×Dic3—21no—
269C4×Dic3—48no—
270C4×Dic3C22⋊C412yes—
271C4×Dic3C22⋊C412yes—
272C4×Dic3C22⋊C411yescharacteristic
273C4×Dic3C22⋊C411yescharacteristic
274C4×Dic3C22⋊C411yescharacteristic
275C4×Dic3C22⋊C411yescharacteristic
276C4×Dic3C22⋊C412yes—
277C4×Dic3C22⋊C412yes—
278C4×Dic3C22⋊C412yes—
279C4×Dic3C22⋊C412yes—
280C2×#41—62no—
281C2×#41—62no—
282C2×#41—64no—
283C2×#41—62no—
284C2×#41—62no—
285C22×Q8—31no—
286C22×D4—31no—
287C22×D4—31no—
288C22×D4C22×D311yescharacteristic
289C23×C4—31no—
290C23×C4—31no—
291C23×C4—31no—
292C23×C4—31no—
293C23×C4—31no—
294C23×C4—31no—
295C23×C4—31no—
296C23×C4C4×D311yescharacteristic
297C23×C4C22×D311yescharacteristic
298C4×Q8—62no—
299C4×Q8—62no—
300C4×Q8—62no—
301C4×Q8—62no—
302C4×D4—22no—
303C4×D4—22no—
304C4×D4—62no—
305C4×D4—62no—
306C4×D4—62no—
307C4×D4—62no—
308C4×D4—62no—
309C4×D4—62no—
310C4×D4—62no—
311C4×D4—62no—
312C4×D4—62no—
313C4×D4—62no—
314#117—62no—
315#117—62no—
316#117—62no—
317#117—62no—
318#117—62no—
319#117—62no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—31no—
322C2×C4⋊C4—31no—
323C2×C4⋊C4—31no—
324C2×C4⋊C4—31no—
325C2×C4⋊C4—31no—
326C2×C4⋊C4—62no—
327C2×C4⋊C4C4×D311yescharacteristic
328C2×C22⋊C4—31no—
329C2×C22⋊C4—31no—
330C2×C22⋊C4—31no—
331C2×C22⋊C4—31no—
332C2×C22⋊C4—34no—
333C2×C22⋊C4C4×D311yescharacteristic
334C2×C22⋊C4C22×D314yes—
335C2×C22⋊C4C22×D311yescharacteristic
336C2×C42—31no—
337C2×C42—31no—
338C2×C42—31no—
339C2×C42—31no—
340C2×C42—32no—
341C2×C42—32no—
342C2×C42—32no—
343C2×C42—32no—
344C2×C42—31no—
345C2×C42—31no—
346C2×C42—31no—
347C2×C42—31no—
348C2×C42—31no—
349C2×C42—61no—
350C2×C42—61no—
351C2×C42—61no—
352C2×C42—61no—
353C2×C42—61no—
354C2×C42—61no—
355C2×C42—61no—
356C2×C42—61no—
357C2×C42—64no—
358C2×C42C4×D311yescharacteristic
359#99—24no—
360#99—68no—
361#99—64no—
362#95—22no—
363#95—64no—
364#95—64no—
365#95—64no—
366#95—62no—
367C23×C3—21no—
368C23×C3—21no—
369C23×C3—41no—
370C23×C3—41no—
371C23×C3—41no—
372C23×C3—41no—
373C23×C3#11712yes—
374C23×C3C23×C411yescharacteristic
375C23×C3C22×D412yes—
376C23×C3C2×#4111yescharacteristic
377C23×C3C2×#4111yescharacteristic
378C23×C3C2×#4112yes—
379C22×D3—21no—
380C22×D3—21no—
381C22×D3—41no—
382C22×D3—41no—
383C22×D3#11712yes—
384C3×D4—24no—
385C3×D4—24no—
386C2×C3×C4—21no—
387C2×C3×C4—21no—
388C2×C3×C4—24no—
389C2×C3×C4—22no—
390C2×C3×C4—21no—
391C2×C3×C4—21no—
392C2×C3×C4—41no—
393C2×C3×C4—42no—
394C2×C3×C4—42no—
395C2×C3×C4—42no—
396C2×C3×C4—41no—
397C2×C3×C4—41no—
398C2×C3×C4—44no—
399C2×C3×C4—44no—
400C2×C3×C4—44no—
401C2×C3×C4C2×C22⋊C411yescharacteristic
402C2×C3×C4C2×C22⋊C412yes—
403C2×C3×C4C2×C22⋊C411yescharacteristic
404C2×C3×C4#11712yes—
405#67—28no—
406#67—24no—
407#67—24no—
408C2×Dic3—24no—
409C2×Dic3—24no—
410C2×Dic3—21no—
411C2×Dic3—21no—
412C2×Dic3—21no—
413C2×Dic3—21no—
414C2×Dic3—21no—
415C2×Dic3—21no—
416C2×Dic3—22no—
417C2×Dic3—22no—
418C2×Dic3—22no—
419C2×Dic3—22no—
420C2×Dic3—24no—
421C2×Dic3—22no—
422C2×Dic3—21no—
423C2×Dic3—21no—
424C2×Dic3—41no—
425C2×Dic3—42no—
426C2×Dic3—42no—
427C2×Dic3—42no—
428C2×Dic3—41no—
429C2×Dic3—41no—
430C2×Dic3—44no—
431C2×Dic3—44no—
432C2×Dic3—44no—
433C2×Dic3C2×C22⋊C411yescharacteristic
434C2×Dic3C2×C22⋊C411yescharacteristic
435C2×Dic3C2×C22⋊C411yescharacteristic
436C2×Dic3C2×C22⋊C412yes—
437C2×Dic3C2×C22⋊C412yes—
438C2×Dic3C2×C22⋊C411yescharacteristic
439C2×Dic3#11712yes—
440C4×D3—24no—
441C4×D3—24no—
442C4×D3—42no—
443C4×D3—42no—
444C4×D3—42no—
445C4×D3—42no—
446Dic6—28no—
447C24—31no—
448C24C2×C4×D311yescharacteristic
449C24C23×D311yescharacteristic
450#41—68no—
451#41—68no—
452#41—68no—
453#41—68no—
454C2×Q8—62no—
455C2×Q8—62no—
456C2×Q8—62no—
457C2×D4—22no—
458C2×D4—22no—
459C2×D4—34no—
460C2×D4—62no—
461C2×D4—62no—
462C2×D4—62no—
463C2×D4—62no—
464C2×D4—61no—
465C2×D4—61no—
466C2×D4#23712yes—
467C2×D4#23912yes—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—24no—
471C22×C4—31no—
472C22×C4—31no—
473C22×C4—31no—
474C22×C4—31no—
475C22×C4—32no—
476C22×C4—32no—
477C22×C4—32no—
478C22×C4—31no—
479C22×C4—32no—
480C22×C4—31no—
481C22×C4—31no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—61no—
485C22×C4—61no—
486C22×C4—61no—
487C22×C4—61no—
488C22×C4—62no—
489C22×C4—61no—
490C22×C4—61no—
491C22×C4—62no—
492C22×C4—61no—
493C22×C4—61no—
494C22×C4—62no—
495C22×C4—61no—
496C22×C4—61no—
497C22×C4—62no—
498C22×C4—62no—
499C22×C4—61no—
500C22×C4—61no—
501C22×C4—64no—
502C22×C4—122no—
503C22×C4—122no—
504C22×C4—122no—
505C22×C4—122no—
506C22×C4C2×C4×D311yescharacteristic
507C22×C4C2×C4×D311yescharacteristic
508C22×C4C2×C4×D311yescharacteristic
509C22×C4C2×C4×D311yescharacteristic
510C22×C4C2×C4×D311yescharacteristic
511C22×C4D3×D412yes—
512C22×C4D3×D412yes—
513C4⋊C4—22no—
514C4⋊C4—44no—
515C4⋊C4—62no—
516C4⋊C4—62no—
517C4⋊C4—62no—
518C4⋊C4—62no—
519C4⋊C4—62no—
520C4⋊C4—124no—
521C22⋊C4—22no—
522C22⋊C4—22no—
523C22⋊C4—24no—
524C22⋊C4—24no—
525C22⋊C4—62no—
526C22⋊C4—62no—
527C22⋊C4—62no—
528C22⋊C4—62no—
529C22⋊C4—64no—
530C22⋊C4—64no—
531C42—21no—
532C42—21no—
533C42—31no—
534C42—31no—
535C42—31no—
536C42—31no—
537C42—32no—
538C42—32no—
539C42—32no—
540C42—32no—
541C42—32no—
542C42—32no—
543C42—61no—
544C42—61no—
545C42—61no—
546C42—61no—
547C42—61no—
548C42—61no—
549C42—61no—
550C42—61no—
551C42—61no—
552C42—61no—
553C42—128no—
554C22×C3—22no—
555C22×C3—21no—
556C22×C3—22no—
557C22×C3—21no—
558C22×C3—22no—
559C22×C3—41no—
560C22×C3—41no—
561C22×C3—42no—
562C22×C3—42no—
563C22×C3—42no—
564C22×C3—41no—
565C22×C3—41no—
566C22×C3C22×C22⋊C411yescharacteristic
567C22×C3C2×#11711yescharacteristic
568C22×C3C2×#11711yescharacteristic
569C22×C3#52512yes—
570C22×C3#52512yes—
571C2×D3—22no—
572C2×D3—42no—
573C2×D3—41no—
574C2×D3—41no—
575C2×D3—42no—
576C3×C4—21no—
577C3×C4—22no—
578C3×C4—22no—
579C3×C4—41no—
580C3×C4—41no—
581C3×C4—84no—
582C3×C4#41012yes—
583Dic3—21no—
584Dic3—22no—
585Dic3—22no—
586Dic3—22no—
587Dic3—21no—
588Dic3—21no—
589Dic3—41no—
590Dic3—41no—
591Dic3—84no—
592Dic3#41012yes—
593C23—21no—
594C23—21no—
595C23—32no—
596C23—41no—
597C23—41no—
598C23—41no—
599C23—41no—
600C23—61no—
601C23—61no—
602C23—121no—
603C23—121no—
604C23#89212yes—
605C23C22×C4×D311yescharacteristic
606C23C2×D3×D412yes—
607C23C2×#23711yescharacteristic
608C23C2×#23911yescharacteristic
609C23D3×#4112yes—
610Q8—68no—
611D4—24no—
612D4—24no—
613D4—68no—
614D4—64no—
615D4—64no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—24no—
619C2×C4—22no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—31no—
623C2×C4—31no—
624C2×C4—31no—
625C2×C4—31no—
626C2×C4—32no—
627C2×C4—32no—
628C2×C4—32no—
629C2×C4—41no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—44no—
636C2×C4—44no—
637C2×C4—44no—
638C2×C4—64no—
639C2×C4—64no—
640C2×C4—64no—
641C2×C4—62no—
642C2×C4—64no—
643C2×C4—64no—
644C2×C4—61no—
645C2×C4—61no—
646C2×C4—61no—
647C2×C4—61no—
648C2×C4—61no—
649C2×C4—61no—
650C2×C4—62no—
651C2×C4—62no—
652C2×C4—62no—
653C2×C4—62no—
654C2×C4—61no—
655C2×C4—61no—
656C2×C4—122no—
657C2×C4—122no—
658C2×C4—122no—
659C2×C4—122no—
660C2×C4—122no—
661C2×C4—121no—
662C2×C4—122no—
663C2×C4—122no—
664C2×C4—121no—
665C2×C4—121no—
666C2×C4—124no—
667C2×C4—124no—
668C2×C4—124no—
669C2×C4D3×C22⋊C411yescharacteristic
670C2×C4D3×C22⋊C412yes—
671C2×C4D3×C22⋊C411yescharacteristic
672C2×C4#89212yes—
673C2×C3—22no—
674C2×C3—22no—
675C2×C3—21no—
676C2×C3—21no—
677C2×C3—42no—
678C2×C3#228011yescharacteristic
679C2×C3C2×#41011yescharacteristic
680C2×C3C2×#41011yescharacteristic
681D3—42no—
682C22—22no—
683C22—21no—
684C22—22no—
685C22—21no—
686C22—22no—
687C22—41no—
688C22—41no—
689C22—42no—
690C22—42no—
691C22—42no—
692C22—41no—
693C22—41no—
694C22—62no—
695C22—122no—
696C22—122no—
697C22—121no—
698C22—121no—
699C22C2×D3×C22⋊C411yescharacteristic
700C22C2×#89211yescharacteristic
701C22D3×#11711yescharacteristic
702C22#560612yes—
703C22#562712yes—
704C4—21no—
705C4—22no—
706C4—22no—
707C4—32no—
708C4—41no—
709C4—41no—
710C4—61no—
711C4—62no—
712C4—61no—
713C4—61no—
714C4—62no—
715C4—62no—
716C4—84no—
717C4—121no—
718C4—121no—
719C4—244no—
720C4#474012yes—
721C3#2072311yescharacteristic, complemented, Sylow
722C2—22no—
723C2—22no—
724C2—21no—
725C2—21no—
726C2—42no—
727C2—122no—
728C2#7386211yescharacteristic
729C2C2×#474011yescharacteristic
730C2D3×#41011yescharacteristic
subgroupG/H
centerC22C2×D3×C22⋊C4
commutatorC23×C3C23×C4
FrattiniC24C23×D3
FittingC3×#1799C2
socleC22×C3C22×C22⋊C4
prime radicalC22×#237C22
cosocleC24×C3C24
hypercenter#1799D3
hypocenterC3#20723
LCSG ▷ C23×C3 ▷ C2×C3 ▷ C3
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1799

Complements

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

NH ≅ G/Ntype
2. #73863C2semidirect
3. C3×#1799C2semidirect
4. #71619C2semidirect
6. Dic3×#99C2semidirect
7. #69530C2semidirect
8. #68953C2semidirect
9. #68952C2semidirect
14. C2×C4×#67C4semidirect
16. C22×C4×Dic3C4semidirect
22. C2×#892C4semidirect
23. C2×#887C4semidirect
24. C2×#67⋊C4C4semidirect
26. C2×#877C4semidirect
28. C2×C42×D3C4semidirect
29. C2×C4×Dic6C4semidirect
49. #1799D3semidirect
721. C3#20723semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#2372
#738632
C3×#17992
#716192
#700272
Dic3×#992
#695302
#689532
#689522
#207233