Finite Group Databasebeta

← #10728170

Subgroups — #10728170

Order 768.

1962 conjugacy classes of subgroups.

The subgroup lattice has 764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#4993C211yesmaximal, characteristic, complemented
2C2×#4987C211yesmaximal, characteristic, complemented
3C2×#4675C212yesmaximal, complemented
4C2×#4665C211yesmaximal, characteristic
5C2×#4672C212yesmaximal
6C2×#4666C211yesmaximal, characteristic, complemented
7C3×#1445C211yesmaximal, characteristic, complemented
8#69427C211yesmaximal, characteristic, complemented
9#69420C211yesmaximal, characteristic, complemented
10#69408C212yesmaximal, complemented
11Dic3⋊#95C212yesmaximal, complemented
12#14839—31nomaximal, Sylow
13C23×D12C2211yescharacteristic
14C23×C4×D3C2211yescharacteristic
15C22×C3×C4⋊C4C2211yescharacteristic
16C22×(C2×D3)⋊C4C2212yes—
17C22×(C2×D3)⋊C4C2212yes—
18C22×(C2×D3)⋊C4C2211yescharacteristic
19C22×(C2×D3)⋊C4C2211yescharacteristic
20C22×(C2×D3)⋊C4C2211yescharacteristic
21C22×(C2×D3)⋊C4C2212yes—
22C22×(C2×D3)⋊C4C2212yes—
23C22×C4⋊Dic3C2211yescharacteristic
24C22×Dic3⋊C4C2212yes—
25C22×Dic3⋊C4C2212yes—
26C22×C4×Dic3C2212yes—
27C2×C3×#95C2212yes—
28C2×C3×#95C2212yes—
29C2×C3×#95C2211yescharacteristic
30C2×C3×#95C2211yescharacteristic
31C2×C3⋊#95C2212yes—
32C2×C3⋊#95C2211yescharacteristic
33C2×C3⋊#95C2212yes—
34C2×C3⋊#95C2212yes—
35C2×C3⋊#95C2211yescharacteristic
36#4993—24no—
37#4987—24no—
38#4675—28no—
39#4672—28no—
40#4666—24no—
41#4665—24no—
42C2×#399—31no—
43C2×#397—32no—
44C2×#394—32no—
45C2×#386—31no—
46C2×#380—31no—
47C2×C4×C22⋊C4—31no—
48#1445D311yescharacteristic, complemented
49#1444—31no—
50#1439—31no—
51#1437—32no—
52C4⋊#95—32no—
53C24×D3C2311yescharacteristic
54C24×D3C2311yescharacteristic
55C23×C3×C4C2311yescharacteristic
56C23×C3×C4C2312yes—
57C23×C3×C4C2312yes—
58C23×C3×C4C2311yescharacteristic
59C23×C3×C4C2311yescharacteristic
60C23×Dic3C2311yescharacteristic
61C23×Dic3C2312yes—
62C23×Dic3C2312yes—
63C23×Dic3C2311yescharacteristic
64C22×D12—22no—
65C22×D12—22no—
66C22×D12—22no—
67C22×D12—24no—
68C22×D12—42no—
69C22×C4×D3—22no—
70C22×C4×D3—22no—
71C22×C4×D3—24no—
72C22×C4×D3—42no—
73C22×C4×D3D414yes—
74C2×C3×C4⋊C4—22no—
75C2×C3×C4⋊C4—22no—
76C2×C3×C4⋊C4—22no—
77C2×(C2×D3)⋊C4—24no—
78C2×(C2×D3)⋊C4—24no—
79C2×(C2×D3)⋊C4—22no—
80C2×(C2×D3)⋊C4—24no—
81C2×(C2×D3)⋊C4—24no—
82C2×(C2×D3)⋊C4—24no—
83C2×(C2×D3)⋊C4—24no—
84C2×(C2×D3)⋊C4—24no—
85C2×(C2×D3)⋊C4—22no—
86C2×(C2×D3)⋊C4—24no—
87C2×(C2×D3)⋊C4—22no—
88C2×(C2×D3)⋊C4—22no—
89C2×(C2×D3)⋊C4—22no—
90C2×(C2×D3)⋊C4—24no—
91C2×(C2×D3)⋊C4—24no—
92C2×(C2×D3)⋊C4—24no—
93C2×(C2×D3)⋊C4—24no—
94C2×(C2×D3)⋊C4—42no—
95C2×(C2×D3)⋊C4D418yes—
96C2×C4⋊Dic3—22no—
97C2×C4⋊Dic3—42no—
98C2×Dic3⋊C4—24no—
99C2×Dic3⋊C4—24no—
100C2×Dic3⋊C4—24no—
101C2×Dic3⋊C4—24no—
102C2×Dic3⋊C4—24no—
103C2×Dic3⋊C4—42no—
104C2×C4×Dic3—24no—
105C2×C4×Dic3—24no—
106C2×C4×Dic3—42no—
107C3×#95—22no—
108C3×#95—22no—
109C3×#95—24no—
110C3×#95—24no—
111C3⋊#95—24no—
112C3⋊#95—22no—
113C3⋊#95—24no—
114C3⋊#95—24no—
115C3⋊#95D414yescomplemented
116C23×D4—31no—
117C24×C4—31no—
118C22×C4⋊C4—32no—
119C22×C4⋊C4—32no—
120C22×C4⋊C4—31no—
121C22×C4⋊C4C2×D311yescharacteristic
122C22×C22⋊C4—32no—
123C22×C22⋊C4—32no—
124C22×C22⋊C4—32no—
125C22×C22⋊C4—31no—
126C22×C22⋊C4—31no—
127C22×C22⋊C4—31no—
128C22×C22⋊C4—32no—
129C22×C42—32no—
130#399—64no—
131#397—68no—
132#394—68no—
133#386—64no—
134#380—64no—
135C4×C22⋊C4—64no—
136C2×#95—31no—
137C2×#95—32no—
138C2×#95—32no—
139C2×#95—31no—
140C2×#95—32no—
141C2×#95C2×D312yes—
142C2×#95C2×D312yes—
143C2×#95C2×D311yescharacteristic
144C2×#95C2×D311yescharacteristic
145C24×C3C2411yescharacteristic
146C23×D3—21no—
147C23×D3—22no—
148C23×D3—21no—
149C23×D3—22no—
150C23×D3—21no—
151C23×D3—21no—
152C23×D3—22no—
153C23×D3—21no—
154C23×D3—21no—
155C23×D3—21no—
156C23×D3—21no—
157C23×D3—22no—
158C23×D3—21no—
159C23×D3—22no—
160C23×D3—22no—
161C23×D3—21no—
162C23×D3—22no—
163C23×D3—21no—
164C23×D3—21no—
165C23×D3C2×D414yes—
166C23×D3C2×D412yes—
167C23×D3#4112yes—
168C22×C3×C4—22no—
169C22×C3×C4—22no—
170C22×C3×C4—21no—
171C22×C3×C4—22no—
172C22×C3×C4—22no—
173C22×C3×C4—22no—
174C22×C3×C4—22no—
175C22×C3×C4—22no—
176C22×C3×C4—21no—
177C22×C3×C4—22no—
178C22×C3×C4—22no—
179C22×C3×C4—22no—
180C22×C3×C4—22no—
181C22×C3×C4—22no—
182C22×C3×C4—22no—
183C22×C3×C4—22no—
184C22×C3×C4—21no—
185C22×C3×C4—22no—
186C22×C3×C4—22no—
187C22×C3×C4—22no—
188C22×C3×C4—22no—
189C22×C3×C4—22no—
190C22×C3×C4—21no—
191C22×C3×C4—21no—
192C22×C3×C4C2×D414yes—
193C22×C3×C4C2×D412yes—
194C22×C3×C4C2×D412yes—
195C22×C3×C4#4112yes—
196C22×C3×C4#4112yes—
197C22×Dic3—21no—
198C22×Dic3—22no—
199C22×Dic3—22no—
200C22×Dic3—21no—
201C22×Dic3—22no—
202C22×Dic3—22no—
203C22×Dic3—22no—
204C22×Dic3—22no—
205C22×Dic3—22no—
206C22×Dic3—22no—
207C22×Dic3—21no—
208C22×Dic3—21no—
209C22×Dic3—22no—
210C22×Dic3—22no—
211C22×Dic3—22no—
212C22×Dic3—21no—
213C22×Dic3—22no—
214C22×Dic3—22no—
215C22×Dic3—22no—
216C22×Dic3C2×D414yes—
217C22×Dic3C2×D414yes—
218C22×Dic3C2×D412yes—
219C22×Dic3#4114yes—
220C22×Dic3#4114yes—
221C2×D12—28no—
222C2×D12—48no—
223C2×D12—48no—
224C2×D12—44no—
225C2×D12—44no—
226C2×C4×D3—28no—
227C2×C4×D3—28no—
228C2×C4×D3—44no—
229C2×C4×D3—48no—
230C2×C4×D3—48no—
231C3×C4⋊C4—44no—
232(C2×D3)⋊C4—216no—
233(C2×D3)⋊C4—48no—
234(C2×D3)⋊C4—44no—
235(C2×D3)⋊C4—48no—
236(C2×D3)⋊C4—44no—
237(C2×D3)⋊C4—48no—
238(C2×D3)⋊C4—44no—
239C4⋊Dic3—44no—
240Dic3⋊C4—48no—
241Dic3⋊C4—48no—
242C4×Dic3—48no—
243C25—31no—
244C25—31no—
245C22×D4—62no—
246C22×D4—62no—
247C22×D4—64no—
248C22×D4—62no—
249C22×D4—122no—
250C23×C4—32no—
251C23×C4—31no—
252C23×C4—34no—
253C23×C4—31no—
254C23×C4—32no—
255C23×C4—64no—
256C23×C4—62no—
257C23×C4—62no—
258C23×C4—122no—
259C23×C4C22×D312yes—
260C23×C4C22×D311yescharacteristic
261C23×C4C22×D312yes—
262C23×C4C22×D311yescharacteristic
263C23×C4C22×D311yescharacteristic
264C2×C4⋊C4—22no—
265C2×C4⋊C4—22no—
266C2×C4⋊C4—22no—
267C2×C4⋊C4—64no—
268C2×C4⋊C4—64no—
269C2×C4⋊C4—64no—
270C2×C4⋊C4—64no—
271C2×C4⋊C4—62no—
272C2×C4⋊C4—64no—
273C2×C4⋊C4—122no—
274C2×C4⋊C4—122no—
275C2×C22⋊C4—38no—
276C2×C22⋊C4—64no—
277C2×C22⋊C4—64no—
278C2×C22⋊C4—62no—
279C2×C22⋊C4—64no—
280C2×C22⋊C4—64no—
281C2×C22⋊C4—64no—
282C2×C22⋊C4—64no—
283C2×C22⋊C4—64no—
284C2×C22⋊C4—62no—
285C2×C22⋊C4—64no—
286C2×C22⋊C4—64no—
287C2×C22⋊C4—64no—
288C2×C22⋊C4—64no—
289C2×C22⋊C4—62no—
290C2×C22⋊C4—62no—
291C2×C22⋊C4—64no—
292C2×C22⋊C4—62no—
293C2×C22⋊C4—122no—
294C2×C42—64no—
295C2×C42—64no—
296C2×C42—122no—
297#95—22no—
298#95—22no—
299#95—24no—
300#95—24no—
301#95—34no—
302#95—64no—
303#95—62no—
304#95—64no—
305#95—64no—
306C23×C3C22×D411yescharacteristic
307C23×C3C22×D411yescharacteristic
308C23×C3C22×D412yes—
309C23×C3C2×#4111yescharacteristic
310C23×C3C2×#4111yescharacteristic
311C23×C3C2×#4112yes—
312C23×C3C2×#4112yes—
313C23×C3C2×#4111yescharacteristic
314C23×C3H(5,𝔽2)12yes—
315C23×C32−1+411yescharacteristic
316C23×C32−1+411yescharacteristic
317C22×D3—24no—
318C22×D3—22no—
319C22×D3—22no—
320C22×D3—22no—
321C22×D3—22no—
322C22×D3—24no—
323C22×D3—22no—
324C22×D3—22no—
325C22×D3—24no—
326C22×D3—24no—
327C22×D3—24no—
328C22×D3—24no—
329C22×D3—22no—
330C22×D3—24no—
331C22×D3—24no—
332C22×D3—22no—
333C22×D3—22no—
334C22×D3—42no—
335C22×D3—42no—
336C22×D3—42no—
337C22×D3—42no—
338C22×D3—42no—
339C22×D3—41no—
340C22×D3—41no—
341C22×D3—42no—
342C22×D3—41no—
343C22×D3—41no—
344C22×D3—41no—
345C22×D3—42no—
346C22×D3—41no—
347C22×D3—42no—
348C22×D3—41no—
349C22×D3—41no—
350C22×D3—42no—
351C22×D3—41no—
352C22×D3—41no—
353C22×D3—42no—
354C22×D3—42no—
355C22×D3—42no—
356C22×D3—42no—
357C22×D3—42no—
358C22×D3—41no—
359C22×D3—42no—
360C22×D3—42no—
361C22×D3—41no—
362C22×D3#12714yes—
363C2×C3×C4—22no—
364C2×C3×C4—22no—
365C2×C3×C4—24no—
366C2×C3×C4—24no—
367C2×C3×C4—24no—
368C2×C3×C4—22no—
369C2×C3×C4—24no—
370C2×C3×C4—24no—
371C2×C3×C4—24no—
372C2×C3×C4—42no—
373C2×C3×C4—41no—
374C2×C3×C4—41no—
375C2×C3×C4—42no—
376C2×C3×C4—42no—
377C2×C3×C4—42no—
378C2×C3×C4—42no—
379C2×C3×C4—42no—
380C2×C3×C4—42no—
381C2×C3×C4—42no—
382C2×C3×C4—41no—
383C2×C3×C4—42no—
384C2×C3×C4—41no—
385C2×C3×C4—42no—
386C2×C3×C4—42no—
387C2×C3×C4—42no—
388C2×C3×C4—41no—
389C2×C3×C4—42no—
390C2×C3×C4—42no—
391C2×C3×C4#12114yes—
392C2×Dic3—22no—
393C2×Dic3—24no—
394C2×Dic3—22no—
395C2×Dic3—24no—
396C2×Dic3—24no—
397C2×Dic3—24no—
398C2×Dic3—24no—
399C2×Dic3—24no—
400C2×Dic3—24no—
401C2×Dic3—24no—
402C2×Dic3—42no—
403C2×Dic3—41no—
404C2×Dic3—42no—
405C2×Dic3—41no—
406C2×Dic3—42no—
407C2×Dic3—41no—
408C2×Dic3—42no—
409C2×Dic3—42no—
410C2×Dic3—42no—
411C2×Dic3—42no—
412C2×Dic3—42no—
413C2×Dic3—42no—
414C2×Dic3#12118yes—
415C2×Dic3#12314yes—
416D12—416no—
417C4×D3—416no—
418C24—34no—
419C24—32no—
420C24—32no—
421C24—61no—
422C24—61no—
423C24—61no—
424C24—61no—
425C24—62no—
426C24—62no—
427C24—61no—
428C24—62no—
429C24—61no—
430C24—61no—
431C24—61no—
432C24—62no—
433C24—61no—
434C24—61no—
435C24—61no—
436C24—62no—
437C24—62no—
438C24—62no—
439C24—61no—
440C24C23×D311yescharacteristic
441C2×D4—68no—
442C2×D4—128no—
443C2×D4—124no—
444C2×D4—128no—
445C2×D4—124no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—21no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—21no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—21no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—21no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—21no—
470C22×C4—34no—
471C22×C4—32no—
472C22×C4—34no—
473C22×C4—34no—
474C22×C4—34no—
475C22×C4—68no—
476C22×C4—61no—
477C22×C4—61no—
478C22×C4—62no—
479C22×C4—62no—
480C22×C4—62no—
481C22×C4—62no—
482C22×C4—62no—
483C22×C4—68no—
484C22×C4—61no—
485C22×C4—62no—
486C22×C4—61no—
487C22×C4—62no—
488C22×C4—62no—
489C22×C4—62no—
490C22×C4—61no—
491C22×C4—62no—
492C22×C4—62no—
493C22×C4—62no—
494C22×C4—62no—
495C22×C4—62no—
496C22×C4—124no—
497C22×C4—128no—
498C22×C4—128no—
499C22×C4#23512yes—
500C22×C4D3×D414yes—
501C22×C4D3×D412yes—
502C22×C4D3×D412yes—
503C22×C4#23912yes—
504C4⋊C4—44no—
505C4⋊C4—128no—
506C4⋊C4—124no—
507C4⋊C4—128no—
508C22⋊C4—616no—
509C22⋊C4—128no—
510C22⋊C4—124no—
511C22⋊C4—128no—
512C22⋊C4—128no—
513C22⋊C4—124no—
514C22⋊C4—124no—
515C42—128no—
516C22×C3C2×#12111yescharacteristic
517C22×C3C2×#12112yes—
518C22×C3C2×#12311yescharacteristic
519C22×C3#52511yescharacteristic
520C22×C3#52912yes—
521C22×C3#52912yes—
522C22×C3C2×#12711yescharacteristic
523C22×C3#53211yescharacteristic
524C22×C3#53212yes—
525C22×C3#53411yescharacteristic
526C22×C3#53611yescharacteristic
527C22×C3#53912yes—
528C22×C3#54212yes—
529C22×C3#54612yes—
530C22×C3#54612yes—
531C22×C3#54612yes—
532C22×C3#54712yes—
533C22×C3#54711yescharacteristic
534C22×C3#54712yes—
535C22×C3#54811yescharacteristic
536C22×C3#55112yes—
537C22×C3#55211yescharacteristic
538C22×C3#55611yescharacteristic
539C2×D3—24no—
540C2×D3—24no—
541C2×D3—24no—
542C2×D3—42no—
543C2×D3—42no—
544C2×D3—42no—
545C2×D3—42no—
546C2×D3—44no—
547C2×D3—44no—
548C2×D3—44no—
549C2×D3—44no—
550C2×D3—42no—
551C2×D3—42no—
552C2×D3—44no—
553C2×D3—42no—
554C2×D3—44no—
555C2×D3—81no—
556C2×D3—81no—
557C2×D3—81no—
558C2×D3—82no—
559C2×D3—81no—
560C2×D3—82no—
561C3×C4—24no—
562C3×C4—44no—
563C3×C4—42no—
564C3×C4—82no—
565C3×C4—81no—
566Dic3—24no—
567Dic3—28no—
568Dic3—81no—
569Dic3—82no—
570C23—34no—
571C23—62no—
572C23—62no—
573C23—64no—
574C23—64no—
575C23—62no—
576C23—62no—
577C23—64no—
578C23—64no—
579C23—62no—
580C23—62no—
581C23—64no—
582C23—64no—
583C23—64no—
584C23—62no—
585C23—64no—
586C23—62no—
587C23—62no—
588C23—122no—
589C23—121no—
590C23—122no—
591C23—122no—
592C23—122no—
593C23—122no—
594C23—121no—
595C23—122no—
596C23—121no—
597C23—121no—
598C23—121no—
599C23—121no—
600C23—122no—
601C23—122no—
602C23—121no—
603C23—122no—
604C23—122no—
605C23—122no—
606C23—121no—
607C23—121no—
608C23—121no—
609C23—122no—
610C23—122no—
611C23—121no—
612C23—122no—
613C23—121no—
614C23—122no—
615C23—122no—
616C23C2×#23511yescharacteristic
617C23C2×D3×D411yescharacteristic
618C23C2×D3×D411yescharacteristic
619C23C2×D3×D412yes—
620C23C2×#23911yescharacteristic
621C23#100711yescharacteristic
622C23D3×#4112yes—
623C23D3×#4111yescharacteristic
624C23D3×#4112yes—
625C23#100912yes—
626C23#101011yescharacteristic
627D4—1216no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—22no—
636C2×C4—24no—
637C2×C4—34no—
638C2×C4—38no—
639C2×C4—41no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—42no—
644C2×C4—42no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—41no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—41no—
657C2×C4—42no—
658C2×C4—62no—
659C2×C4—64no—
660C2×C4—64no—
661C2×C4—64no—
662C2×C4—64no—
663C2×C4—64no—
664C2×C4—62no—
665C2×C4—64no—
666C2×C4—64no—
667C2×C4—64no—
668C2×C4—1216no—
669C2×C4—122no—
670C2×C4—122no—
671C2×C4—122no—
672C2×C4—121no—
673C2×C4—122no—
674C2×C4—121no—
675C2×C4—121no—
676C2×C4—122no—
677C2×C4—122no—
678C2×C4—122no—
679C2×C4—122no—
680C2×C4—122no—
681C2×C4#88414yes—
682C2×C3#239511yescharacteristic
683C2×C3#241211yescharacteristic
684C2×C3#241511yescharacteristic
685C2×C3#242512yes—
686C2×C3#242712yes—
687C2×C3#250111yescharacteristic
688C2×C3#252112yes—
689C2×C3#253911yescharacteristic
690C2×C3#255312yes—
691C2×C3#266311yescharacteristic
692C2×C3#285611yescharacteristic
693D3—44no—
694D3—82no—
695C22—64no—
696C22—64no—
697C22—64no—
698C22—124no—
699C22—122no—
700C22—122no—
701C22—124no—
702C22—124no—
703C22—122no—
704C22—122no—
705C22—124no—
706C22—122no—
707C22—122no—
708C22—122no—
709C22—124no—
710C22—124no—
711C22—242no—
712C22—242no—
713C22—241no—
714C22—241no—
715C22—241no—
716C22—241no—
717C22C2×#88411yescharacteristic
718C22#552712yes—
719C22#554812yes—
720C22#558111yescharacteristic
721C22#558411yescharacteristic
722C22D3×#12112yes—
723C22#562711yescharacteristic
724C22#562811yescharacteristic
725C22#563012yes—
726C22#563112yes—
727C22D3×#12311yescharacteristic
728C22#565311yescharacteristic
729C22#565412yes—
730C22#565412yes—
731C22#565512yes—
732C22#566811yescharacteristic
733C22#567711yescharacteristic
734C22#569112yes—
735C22#569212yes—
736C22#570612yes—
737C22#571012yes—
738C22D3×#12711yescharacteristic
739C22#572611yescharacteristic
740C4—24no—
741C4—42no—
742C4—44no—
743C4—68no—
744C4—64no—
745C4—82no—
746C4—81no—
747C4—242no—
748C4—241no—
749C3#1483911yescharacteristic, complemented, Sylow
750C2—124no—
751C2—242no—
752C2#7412611yescharacteristic
753C2#7504412yes—
754C2#7535712yes—
755C2#7647611yescharacteristic
756C2#7662011yescharacteristic
757C2#7746612yes—
758C2#7794812yes—
759C2#7803011yescharacteristic
760C2#7810711yescharacteristic
761C2#7812911yescharacteristic
762C2#7823211yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, cosocleC24×C3C24
FittingC3×#1445C2
prime radicalC23×D12C22
hypercenter#1445D3
hypocenterC3#14839
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ #1445

Complements

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

NH ≅ G/Ntype
1. C2×#4993C2semidirect
2. C2×#4987C2semidirect
3. C2×#4675C2semidirect
6. C2×#4666C2semidirect
7. C3×#1445C2semidirect
8. #69427C2semidirect
9. #69420C2semidirect
10. #69408C2semidirect
11. Dic3⋊#95C2semidirect
48. #1445D3semidirect
115. C3⋊#95D4semidirect
749. C3#14839semidirect

Maximal subgroups

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

subgroupindex
C2×#49932
C2×#49872
C2×#46752
C2×#46652
C2×#46722
C2×#46662
C3×#14452
#694272
#694202
#694082
Dic3⋊#952
#148393