Finite Group Databasebeta

← #10728135

Subgroups — #10728135

Order 768.

2254 conjugacy classes of subgroups.

The subgroup lattice has 780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#4987C211yesmaximal, characteristic, complemented
2C2×#4956C211yesmaximal, characteristic
3C2×#4956C212yesmaximal
4C2×#4949C211yesmaximal, characteristic, complemented
5C2×#4667C212yesmaximal, complemented
6C2×D3×#95C211yesmaximal, characteristic, complemented
7C3×#1439C211yesmaximal, characteristic, complemented
8#71568C211yesmaximal, characteristic, complemented
9#71547C212yesmaximal, complemented
10#69422C211yesmaximal, characteristic, complemented
11#69421C212yesmaximal, complemented
12#14836—31nomaximal, Sylow
13C23×#67C2211yescharacteristic
14C23×C4×D3C2211yescharacteristic
15C23×C4×D3C2212yes—
16C22×C3×C4⋊C4C2211yescharacteristic
17C22×C3×C22⋊C4C2211yescharacteristic
18C22×C3×C22⋊C4C2212yes—
19C22×#217C2212yes—
20C22×#217C2211yescharacteristic
21C22×(C2×D3)⋊C4C2212yes—
22C22×(C2×D3)⋊C4C2211yescharacteristic
23C22×C4⋊Dic3C2211yescharacteristic
24C22×Dic3⋊C4C2212yes—
25C22×Dic3⋊C4C2212yes—
26C2×C3×#95C2212yes—
27C2×C3×#95C2211yescharacteristic
28C2×C3⋊#95C2212yes—
29C2×C3⋊#95C2211yescharacteristic
30C2×C3⋊#95C2212yes—
31C2×C3⋊#95C2212yes—
32C2×C3⋊#95C2212yes—
33C2×C3⋊#95C2212yes—
34C2×C3⋊#95C2211yescharacteristic
35C2×C3⋊#95C2211yescharacteristic
36#4987—24no—
37#4956—28no—
38#4956—24no—
39#4949—24no—
40#4667—28no—
41D3×#95—24no—
42C2×#399—31no—
43C2×#386—32no—
44C2×#386—31no—
45C2×#380—32no—
46C2×#380—31no—
47C22×#95—31no—
48#1445—32no—
49#1445—31no—
50#1444—31no—
51#1439—32no—
52#1439D311yescharacteristic, complemented
53C25×C3C2311yescharacteristic
54C24×D3C2311yescharacteristic
55C23×C3×C4C2312yes—
56C23×C3×C4C2311yescharacteristic
57C23×C3×C4C2312yes—
58C23×C3×C4C2311yescharacteristic
59C22×#67—24no—
60C22×#67—22no—
61C22×#67—24no—
62C22×#67—22no—
63C22×#67Q814yes—
64C23×Dic3C2311yescharacteristic
65C23×Dic3C2312yes—
66C23×Dic3C2311yescharacteristic
67C23×Dic3C2311yescharacteristic
68C23×Dic3C2312yes—
69C22×C4×D3—24no—
70C22×C4×D3—24no—
71C22×C4×D3—24no—
72C22×C4×D3—22no—
73C22×C4×D3—22no—
74C22×C4×D3—24no—
75C22×C4×D3—24no—
76C22×C4×D3—42no—
77C22×C4×D3—42no—
78C22×C4×D3—42no—
79C22×C4×D3D418yes—
80C22×C4×D3D414yes—
81C2×C3×C4⋊C4—22no—
82C2×C3×C4⋊C4—42no—
83C2×C3×C22⋊C4—22no—
84C2×C3×C22⋊C4—24no—
85C2×C3×C22⋊C4—22no—
86C2×C3×C22⋊C4—22no—
87C2×C3×C22⋊C4—42no—
88C2×C3×C22⋊C4—42no—
89C2×#217—24no—
90C2×#217—22no—
91C2×#217—24no—
92C2×#217—24no—
93C2×#217—42no—
94C2×(C2×D3)⋊C4—24no—
95C2×(C2×D3)⋊C4—24no—
96C2×(C2×D3)⋊C4—24no—
97C2×(C2×D3)⋊C4—22no—
98C2×(C2×D3)⋊C4—24no—
99C2×C4⋊Dic3—22no—
100C2×C4⋊Dic3—22no—
101C2×C4⋊Dic3—22no—
102C2×Dic3⋊C4—24no—
103C2×Dic3⋊C4—24no—
104C2×Dic3⋊C4—24no—
105C2×Dic3⋊C4—24no—
106C2×Dic3⋊C4—42no—
107C2×Dic3⋊C4—42no—
108C3×#95—22no—
109C3×#95—24no—
110C3⋊#95—24no—
111C3⋊#95—24no—
112C3⋊#95—22no—
113C3⋊#95—24no—
114C3⋊#95—22no—
115C3⋊#95—24no—
116C3⋊#95—24no—
117C3⋊#95D414yescomplemented
118C23×D4—31no—
119C24×C4—32no—
120C24×C4—31no—
121C22×C4⋊C4—32no—
122C22×C4⋊C4—31no—
123C22×C4⋊C4—32no—
124C22×C4⋊C4C2×D311yescharacteristic
125C22×C22⋊C4—32no—
126C22×C22⋊C4—31no—
127C22×C22⋊C4—32no—
128C22×C22⋊C4—31no—
129C22×C22⋊C4C2×D311yescharacteristic
130C22×C22⋊C4C2×D312yes—
131#399—64no—
132#386—68no—
133#386—64no—
134#380—68no—
135#380—64no—
136C2×#95—31no—
137C2×#95—32no—
138C2×#95—32no—
139C2×#95—32no—
140C2×#95—32no—
141C2×#95—31no—
142C2×#95—31no—
143C2×#95—32no—
144C2×#95—64no—
145C2×#95C2×D311yescharacteristic
146C2×#95C2×D312yes—
147C24×C3—21no—
148C24×C3—22no—
149C24×C3—21no—
150C24×C3—22no—
151C24×C3—21no—
152C24×C3—22no—
153C24×C3—21no—
154C24×C3—22no—
155C24×C3—21no—
156C24×C3—21no—
157C24×C3C2×Q812yes—
158C24×C3C2411yescharacteristic
159C23×D3—21no—
160C23×D3—21no—
161C23×D3—22no—
162C23×D3—22no—
163C23×D3—21no—
164C23×D3—21no—
165C23×D3C2×D414yes—
166C23×D3C2×D412yes—
167C23×D3C2×Q812yes—
168C23×D3#4114yes—
169C23×D3#4112yes—
170C22×C3×C4—22no—
171C22×C3×C4—22no—
172C22×C3×C4—22no—
173C22×C3×C4—22no—
174C22×C3×C4—22no—
175C22×C3×C4—22no—
176C22×C3×C4—22no—
177C22×C3×C4—22no—
178C22×C3×C4—21no—
179C22×C3×C4—22no—
180C22×C3×C4—22no—
181C22×C3×C4—22no—
182C22×C3×C4—22no—
183C22×C3×C4—21no—
184C22×C3×C4—22no—
185C22×C3×C4—21no—
186C22×C3×C4—22no—
187C22×C3×C4—22no—
188C22×C3×C4—22no—
189C22×C3×C4—22no—
190C22×C3×C4C2×D414yes—
191C22×C3×C4C2×D412yes—
192C22×C3×C4C2×D412yes—
193C22×C3×C4#4112yes—
194C2×#67—28no—
195C2×#67—216no—
196C2×#67—48no—
197C2×#67—44no—
198C2×#67—44no—
199C22×Dic3—22no—
200C22×Dic3—22no—
201C22×Dic3—22no—
202C22×Dic3—22no—
203C22×Dic3—21no—
204C22×Dic3—21no—
205C22×Dic3—22no—
206C22×Dic3—21no—
207C22×Dic3—22no—
208C22×Dic3—22no—
209C22×Dic3—21no—
210C22×Dic3—22no—
211C22×Dic3—22no—
212C22×Dic3—22no—
213C22×Dic3—22no—
214C22×Dic3—22no—
215C22×Dic3—21no—
216C22×Dic3—22no—
217C22×Dic3—22no—
218C22×Dic3—22no—
219C22×Dic3—22no—
220C22×Dic3—21no—
221C22×Dic3—22no—
222C22×Dic3—21no—
223C22×Dic3C2×D412yes—
224C22×Dic3C2×D414yes—
225C22×Dic3C2×D414yes—
226C22×Dic3C2×Q812yes—
227C22×Dic3#4114yes—
228C2×C4×D3—216no—
229C2×C4×D3—28no—
230C2×C4×D3—28no—
231C2×C4×D3—216no—
232C2×C4×D3—48no—
233C2×C4×D3—44no—
234C2×C4×D3—48no—
235C2×C4×D3—48no—
236C2×C4×D3—48no—
237C2×C4×D3—48no—
238C2×C4×D3—48no—
239C2×C4×D3—48no—
240C3×C4⋊C4—44no—
241C3×C22⋊C4—48no—
242C3×C22⋊C4—44no—
243#217—44no—
244#217—48no—
245(C2×D3)⋊C4—44no—
246(C2×D3)⋊C4—48no—
247C4⋊Dic3—44no—
248Dic3⋊C4—48no—
249Dic3⋊C4—48no—
250C25—31no—
251C25C22×D311yescharacteristic
252C22×D4—34no—
253C22×D4—62no—
254C22×D4—64no—
255C22×D4—64no—
256C22×D4—62no—
257C23×C4—32no—
258C23×C4—31no—
259C23×C4—31no—
260C23×C4—38no—
261C23×C4—34no—
262C23×C4—32no—
263C23×C4—31no—
264C23×C4—64no—
265C23×C4—64no—
266C23×C4—64no—
267C23×C4—64no—
268C23×C4—64no—
269C23×C4—62no—
270C23×C4—62no—
271C23×C4—122no—
272C23×C4—122no—
273C23×C4—122no—
274C23×C4C22×D311yescharacteristic
275C23×C4C22×D312yes—
276C23×C4C22×D312yes—
277C23×C4C22×D311yescharacteristic
278C2×C4⋊C4—22no—
279C2×C4⋊C4—42no—
280C2×C4⋊C4—64no—
281C2×C4⋊C4—64no—
282C2×C4⋊C4—64no—
283C2×C4⋊C4—64no—
284C2×C4⋊C4—62no—
285C2×C4⋊C4—62no—
286C2×C4⋊C4—62no—
287C2×C4⋊C4—122no—
288C2×C4⋊C4—122no—
289C2×C22⋊C4—22no—
290C2×C22⋊C4—24no—
291C2×C22⋊C4—22no—
292C2×C22⋊C4—22no—
293C2×C22⋊C4—42no—
294C2×C22⋊C4—42no—
295C2×C22⋊C4—64no—
296C2×C22⋊C4—64no—
297C2×C22⋊C4—64no—
298C2×C22⋊C4—62no—
299C2×C22⋊C4—64no—
300C2×C22⋊C4—64no—
301C2×C22⋊C4—62no—
302C2×C22⋊C4—64no—
303C2×C22⋊C4—64no—
304C2×C22⋊C4—122no—
305#95—22no—
306#95—24no—
307#95—34no—
308#95—64no—
309#95—64no—
310#95—64no—
311#95—62no—
312#95—64no—
313#95—64no—
314#95—62no—
315C23×C3—22no—
316C23×C3—24no—
317C23×C3—22no—
318C23×C3—24no—
319C23×C3—22no—
320C23×C3—42no—
321C23×C3—41no—
322C23×C3—42no—
323C23×C3—41no—
324C23×C3—41no—
325C23×C3—41no—
326C23×C3—42no—
327C23×C3—41no—
328C23×C3—42no—
329C23×C3—42no—
330C23×C3—41no—
331C23×C3—42no—
332C23×C3—41no—
333C23×C3—42no—
334C23×C3—42no—
335C23×C3—42no—
336C23×C3—42no—
337C23×C3—41no—
338C23×C3C22×D411yescharacteristic
339C23×C3C22×D411yescharacteristic
340C23×C3C22×D412yes—
341C23×C3C22×Q811yescharacteristic
342C23×C3C2×#4111yescharacteristic
343C23×C3C2×#4112yes—
344C23×C3C2×#4112yes—
345C23×C3C2×#4111yescharacteristic
346C23×C3H(5,𝔽2)12yes—
347C23×C3H(5,𝔽2)11yescharacteristic
348C23×C32−1+411yescharacteristic
349C22×D3—22no—
350C22×D3—24no—
351C22×D3—22no—
352C22×D3—24no—
353C22×D3—24no—
354C22×D3—22no—
355C22×D3—24no—
356C22×D3—22no—
357C22×D3—24no—
358C22×D3—22no—
359C22×D3—22no—
360C22×D3—24no—
361C22×D3—24no—
362C22×D3—24no—
363C22×D3—24no—
364C22×D3—22no—
365C22×D3—24no—
366C22×D3—22no—
367C22×D3C22⋊Q814yes—
368C22×D3C22⋊Q818yes—
369C22×D3#12318yes—
370C22×D3#12314yes—
371C22×D3#12714yes—
372C2×C3×C4—22no—
373C2×C3×C4—22no—
374C2×C3×C4—24no—
375C2×C3×C4—24no—
376C2×C3×C4—24no—
377C2×C3×C4—24no—
378C2×C3×C4—24no—
379C2×C3×C4—42no—
380C2×C3×C4—42no—
381C2×C3×C4—42no—
382C2×C3×C4—42no—
383C2×C3×C4—42no—
384C2×C3×C4—41no—
385C2×C3×C4—41no—
386C2×C3×C4—42no—
387C2×C3×C4—41no—
388C2×C3×C4—42no—
389C2×C3×C4—42no—
390C2×C3×C4—42no—
391C2×C3×C4—42no—
392C2×C3×C4—42no—
393C2×C3×C4—42no—
394C2×C3×C4—42no—
395C2×C3×C4#12114yes—
396#67—416no—
397C2×Dic3—24no—
398C2×Dic3—24no—
399C2×Dic3—24no—
400C2×Dic3—24no—
401C2×Dic3—24no—
402C2×Dic3—24no—
403C2×Dic3—22no—
404C2×Dic3—22no—
405C2×Dic3—24no—
406C2×Dic3—22no—
407C2×Dic3—22no—
408C2×Dic3—42no—
409C2×Dic3—41no—
410C2×Dic3—41no—
411C2×Dic3—42no—
412C2×Dic3—42no—
413C2×Dic3—42no—
414C2×Dic3—42no—
415C2×Dic3—42no—
416C2×Dic3—42no—
417C2×Dic3—41no—
418C2×Dic3—42no—
419C2×Dic3—42no—
420C2×Dic3—42no—
421C2×Dic3—42no—
422C2×Dic3—41no—
423C2×Dic3—42no—
424C2×Dic3—41no—
425C2×Dic3#12118yes—
426C4×D3—432no—
427C4×D3—416no—
428C24—21no—
429C24—21no—
430C24—21no—
431C24—22no—
432C24—21no—
433C24—22no—
434C24—22no—
435C24—22no—
436C24—21no—
437C24—21no—
438C24—32no—
439C24—34no—
440C24—32no—
441C24—34no—
442C24—32no—
443C24—61no—
444C24—61no—
445C24—62no—
446C24—61no—
447C24—62no—
448C24—61no—
449C24D3×Q812yes—
450C24C23×D311yescharacteristic
451C2×D4—68no—
452C2×D4—616no—
453C2×D4—128no—
454C2×D4—124no—
455C2×D4—124no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—21no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—21no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—34no—
477C22×C4—34no—
478C22×C4—34no—
479C22×C4—32no—
480C22×C4—32no—
481C22×C4—616no—
482C22×C4—68no—
483C22×C4—616no—
484C22×C4—62no—
485C22×C4—62no—
486C22×C4—62no—
487C22×C4—62no—
488C22×C4—61no—
489C22×C4—61no—
490C22×C4—61no—
491C22×C4—62no—
492C22×C4—62no—
493C22×C4—62no—
494C22×C4—62no—
495C22×C4—61no—
496C22×C4—68no—
497C22×C4—62no—
498C22×C4—62no—
499C22×C4—61no—
500C22×C4—62no—
501C22×C4—62no—
502C22×C4—62no—
503C22×C4—62no—
504C22×C4—62no—
505C22×C4—61no—
506C22×C4—62no—
507C22×C4—62no—
508C22×C4—61no—
509C22×C4—124no—
510C22×C4—128no—
511C22×C4—128no—
512C22×C4—128no—
513C22×C4—128no—
514C22×C4—128no—
515C22×C4—128no—
516C22×C4—128no—
517C22×C4#23512yes—
518C22×C4D3×D414yes—
519C22×C4D3×D412yes—
520C22×C4D3×D412yes—
521C4⋊C4—44no—
522C4⋊C4—128no—
523C4⋊C4—128no—
524C4⋊C4—124no—
525C22⋊C4—48no—
526C22⋊C4—44no—
527C22⋊C4—128no—
528C22⋊C4—124no—
529C22⋊C4—128no—
530C22⋊C4—124no—
531C22×C3—42no—
532C22×C3—44no—
533C22×C3—42no—
534C22×C3—42no—
535C22×C3—44no—
536C22×C3—81no—
537C22×C3—81no—
538C22×C3—82no—
539C22×C3—81no—
540C22×C3—82no—
541C22×C3—81no—
542C22×C3C2×#12111yescharacteristic
543C22×C3C2×#12112yes—
544C22×C3C2×C22⋊Q811yescharacteristic
545C22×C3C2×C22⋊Q812yes—
546C22×C3C2×#12312yes—
547C22×C3C2×#12311yescharacteristic
548C22×C3C2×#12711yescharacteristic
549C22×C3#53211yescharacteristic
550C22×C3#53212yes—
551C22×C3#53412yes—
552C22×C3#53411yescharacteristic
553C22×C3#53712yes—
554C22×C3#53711yescharacteristic
555C22×C3#54612yes—
556C22×C3#54611yescharacteristic
557C22×C3D4×Q811yescharacteristic
558C22×C3#55112yes—
559C22×C3#55112yes—
560C22×C3#55112yes—
561C22×C3#55212yes—
562C22×C3#55211yescharacteristic
563C22×C3#55412yes—
564C22×C3#55411yescharacteristic
565C2×D3—24no—
566C2×D3—28no—
567C2×D3—24no—
568C2×D3—24no—
569C2×D3—28no—
570C2×D3—24no—
571C2×D3—24no—
572C2×D3—28no—
573C2×D3—28no—
574C2×D3—24no—
575C2×D3#39918yescomplemented
576C3×C4—24no—
577C3×C4—44no—
578C3×C4—81no—
579C3×C4—82no—
580Dic3—28no—
581Dic3—42no—
582Dic3—42no—
583Dic3—82no—
584Dic3—81no—
585C23—22no—
586C23—24no—
587C23—22no—
588C23—22no—
589C23—24no—
590C23—38no—
591C23—34no—
592C23—34no—
593C23—34no—
594C23—38no—
595C23—42no—
596C23—41no—
597C23—42no—
598C23—41no—
599C23—42no—
600C23—42no—
601C23—41no—
602C23—41no—
603C23—41no—
604C23—42no—
605C23—42no—
606C23—42no—
607C23—41no—
608C23—42no—
609C23—41no—
610C23—42no—
611C23—42no—
612C23—41no—
613C23—62no—
614C23—64no—
615C23—64no—
616C23—62no—
617C23—64no—
618C23—64no—
619C23—62no—
620C23—62no—
621C23—62no—
622C23—64no—
623C23—64no—
624C23—64no—
625C23—62no—
626C23—64no—
627C23—64no—
628C23—62no—
629C23—64no—
630C23—62no—
631C23C2×#23511yescharacteristic
632C23C2×D3×D411yescharacteristic
633C23C2×D3×D411yescharacteristic
634C23C2×D3×D412yes—
635C23#100412yes—
636C23#100411yescharacteristic
637C23C2×D3×Q811yescharacteristic
638C23D3×#4112yes—
639C23D3×#4112yes—
640C23D3×#4111yescharacteristic
641C23#101011yescharacteristic
642D4—1216no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—22no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—24no—
650C2×C4—38no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—42no—
658C2×C4—41no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—64no—
668C2×C4—64no—
669C2×C4—64no—
670C2×C4—64no—
671C2×C4—64no—
672C2×C4—64no—
673C2×C4—62no—
674C2×C4—62no—
675C2×C4—62no—
676C2×C4—62no—
677C2×C4—64no—
678C2×C4—1216no—
679C2×C4—1232no—
680C2×C4—122no—
681C2×C4—121no—
682C2×C4—121no—
683C2×C4—122no—
684C2×C4—122no—
685C2×C4—122no—
686C2×C4—122no—
687C2×C4—121no—
688C2×C4—122no—
689C2×C4—122no—
690C2×C4—122no—
691C2×C4—121no—
692C2×C4—122no—
693C2×C4—122no—
694C2×C4—122no—
695C2×C4—122no—
696C2×C4—121no—
697C2×C4#88414yes—
698C2×C3—82no—
699C2×C3C2×#39911yescharacteristic
700C2×C3#241212yes—
701C2×C3#241211yescharacteristic
702C2×C3#241711yescharacteristic
703C2×C3#241712yes—
704C2×C3#249812yes—
705C2×C3#249811yescharacteristic
706C2×C3#256411yescharacteristic
707C2×C3#256412yes—
708C2×C3#265611yescharacteristic
709C2×C3#285611yescharacteristic
710D3—28no—
711C22—38no—
712C22—42no—
713C22—42no—
714C22—44no—
715C22—42no—
716C22—44no—
717C22—68no—
718C22—64no—
719C22—68no—
720C22—64no—
721C22—68no—
722C22—64no—
723C22—64no—
724C22—64no—
725C22—64no—
726C22—68no—
727C22—82no—
728C22—82no—
729C22—81no—
730C22—81no—
731C22—81no—
732C22—81no—
733C22C2×#88411yescharacteristic
734C22#551111yescharacteristic
735C22#552911yescharacteristic
736C22#554812yes—
737C22#555612yes—
738C22#558912yes—
739C22#558911yescharacteristic
740C22D3×#12112yes—
741C22#560812yes—
742C22#560811yescharacteristic
743C22#561012yes—
744C22#561211yescharacteristic
745C22D3×C22⋊Q811yescharacteristic
746C22D3×C22⋊Q812yes—
747C22#563211yescharacteristic
748C22#563612yes—
749C22D3×#12312yes—
750C22D3×#12311yescharacteristic
751C22#565912yes—
752C22#566811yescharacteristic
753C22#567912yes—
754C22#570812yes—
755C22D3×#12711yescharacteristic
756C4—24no—
757C4—44no—
758C4—68no—
759C4—81no—
760C4—82no—
761C4—122no—
762C4—122no—
763C4—242no—
764C4—241no—
765C3#1483611yescharacteristic, complemented, Sylow
766C2—68no—
767C2—82no—
768C2#7388811yescharacteristic
769C2#7461512yes—
770C2#7469011yescharacteristic
771C2#7586912yes—
772C2#7647611yescharacteristic
773C2#7676211yescharacteristic
774C2#7686911yescharacteristic
775C2#7711012yes—
776C2#7728512yes—
777C2#7767911yescharacteristic
778C2D3×#39911yescharacteristic
subgroupG/H
center, FrattiniC24C23×D3
commutator, socle, cosocleC24×C3C24
FittingC3×#1439C2
prime radicalC23×#67C22
hypercenter#1439D3
hypocenterC3#14836
LCSG ▷ C24×C3 ▷ C3
UCSC1 ◁ C24 ◁ #1439

Complements

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

NH ≅ G/Ntype
1. C2×#4987C2semidirect
4. C2×#4949C2semidirect
5. C2×#4667C2semidirect
6. C2×D3×#95C2semidirect
7. C3×#1439C2semidirect
8. #71568C2semidirect
9. #71547C2semidirect
10. #69422C2semidirect
11. #69421C2semidirect
52. #1439D3semidirect
117. C3⋊#95D4semidirect
575. C2×D3#399semidirect
765. C3#14836semidirect

Maximal subgroups

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

subgroupindex
C2×#49872
C2×#49562
C2×#49492
C2×#46672
C2×D3×#952
C3×#14392
#715682
#715472
#694222
#694212
#148363