Finite Group Databasebeta

← #7501411

Subgroups — #7501411

Order 512.

2129 conjugacy classes of subgroups.

The subgroup lattice has 773 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3137C211yesmaximal, characteristic, complemented
2C22×#484C211yesmaximal, characteristic, complemented
3#35661C211yesmaximal, characteristic
4#35224C211yesmaximal, characteristic, complemented
5#30659C214yesmaximal, complemented
6#30651C214yesmaximal, complemented
7#30643C214yesmaximal, complemented
8#30635C214yesmaximal, complemented
9#23737C211yesmaximal, characteristic, complemented
10#23611C211yesmaximal, characteristic, complemented
11#23555C211yesmaximal, characteristic, complemented
12#23510C211yesmaximal, characteristic, complemented
13#23481C211yesmaximal, characteristic, complemented
14#23479C211yesmaximal, characteristic
15#21156C211yesmaximal, characteristic, complemented
16#21050C211yesmaximal, characteristic, complemented
17#20909C211yesmaximal, characteristic
18#20880C211yesmaximal, characteristic, complemented
19#20651C211yesmaximal, characteristic, complemented
20C2×#544C2211yescharacteristic
21C2×#536C2211yescharacteristic
22C2×#525C2211yescharacteristic
23C22×C22⋊Q8C2211yescharacteristic
24C2×#519C2211yescharacteristic
25C23×C4⋊C4C2211yescharacteristic
26#3137—28no—
27C2×#491C2212yescomplemented
28C2×#489C2212yescomplemented
29C2×#488C2212yescomplemented
30C2×#487C2212yescomplemented
31C2×#484—28no—
32C2×#484C2214yes—
33C2×#484C2214yes—
34C2×#428C2211yescharacteristic
35C2×#427C2211yescharacteristic
36C22×#107C2211yescharacteristic
37C22×#107C2211yescharacteristic
38C2×#424C2211yescharacteristic
39C2×#417C2211yescharacteristic
40C2×#417C2211yescharacteristic
41C2×#419C2211yescharacteristic
42C2×#419C2211yescharacteristic
43C2×#416C2211yescharacteristic
44C2×#416C2211yescharacteristic
45C22×#103C2211yescharacteristic
46C22×#103C2211yescharacteristic
47C2×#407C2211yescharacteristic
48C22×C22⋊C8C2211yescharacteristic
49C2×#405C2211yescharacteristic
50#2848—22no—
51#2627—22no—
52#2538—22no—
53#2536—22no—
54#2442—22no—
55#2442C2214yes—
56#2440—22no—
57#2440C2214yes—
58#2429C2214yes—
59#2426C2214yes—
60#2413—22no—
61#2411—22no—
62#2317C2211yescharacteristic
63#2317C2211yescharacteristic
64#2317C2211yescharacteristic
65#2316C2211yescharacteristic
66#2311C2211yescharacteristic
67#2280C2211yescharacteristic
68#2280C2211yescharacteristic
69#2097C2212yescomplemented
70#2095C2212yescomplemented
71#2093C2212yescomplemented
72#2092C2212yescomplemented
73#2068C2214yescomplemented
74#2067C2214yescomplemented
75#2059C2214yescomplemented
76#2057C2214yescomplemented
77#2043C2214yescomplemented
78#2042C2214yescomplemented
79#2036C2212yes—
80#2036C2214yes—
81#2035C2214yes—
82#2035C2212yes—
83#2034C2212yes—
84#2033C2212yes—
85#1944C2214yescomplemented
86#1942C2214yescomplemented
87#1924C2214yes—
88#1923C2214yes—
89#1874C2214yes—
90#1872C2214yes—
91#1865C2214yescomplemented
92#1863C2214yescomplemented
93#1805C2214yescomplemented
94#1803C2214yescomplemented
95#1736C2211yescharacteristic
96#1736C2211yescharacteristic
97#1736C2211yescharacteristic
98#1735C2211yescharacteristic
99#1729C2211yescharacteristic
100#1729C2211yescharacteristic
101C22×#41C2311yescharacteristic
102C23×Q8C2311yescharacteristic
103C24×C4—21no—
104C24×C4C2311yescharacteristic
105C22×M16C2311yescharacteristic
106C22×M16C2311yescharacteristic
107C23×C8C2311yescharacteristic
108C23×C8C2311yescharacteristic
109#544—24no—
110#544—42no—
111#536—24no—
112#536—42no—
113C2×C4⋊Q8—21no—
114C2×C4⋊Q8C2312yes—
115C2×C4⋊Q8C2312yes—
116C2×#125—21no—
117C2×#125C2312yes—
118C2×#124C2312yes—
119#525—24no—
120#525—42no—
121C2×#123—21no—
122C2×#123—22no—
123C2×C22⋊Q8—22no—
124C2×C22⋊Q8—21no—
125C2×C22⋊Q8—21no—
126C2×C22⋊Q8—22no—
127C2×C22⋊Q8—24no—
128C2×C22⋊Q8—24no—
129C2×C22⋊Q8—42no—
130C2×C22⋊Q8C2314yes—
131C2×C22⋊Q8C2312yes—
132C2×#121C2312yes—
133C2×#120—21no—
134#519—24no—
135#519—42no—
136C2×C4×Q8—22no—
137C2×C4×Q8C2314yes—
138C2×C4×D4—22no—
139C2×#117—22no—
140C2×#117C2311yescharacteristic
141C2×#117C2311yescharacteristic
142C2×#117C2311yescharacteristic
143C2×#117C2311yescharacteristic
144C2×#117C2311yescharacteristic
145C22×C4⋊C4—24no—
146C22×C4⋊C4—21no—
147C22×C4⋊C4—22no—
148C22×C4⋊C4—21no—
149C22×C4⋊C4—42no—
150C22×C4⋊C4C2311yescharacteristic
151C22×C4⋊C4C2311yescharacteristic
152C22×C4⋊C4C2314yes—
153C22×C4⋊C4C2311yescharacteristic
154C22×C22⋊C4—21no—
155#491—28no—
156#489—28no—
157#488—28no—
158#487—28no—
159#484—216no—
160#484—216no—
161#428—42no—
162#427—24no—
163C2×#107—24no—
164C2×#107—24no—
165C2×#107C2314yes—
166C2×#107C2312yes—
167C2×#107C2312yes—
168C2×#107C2312yes—
169C2×#107C2312yes—
170C2×#106C2312yes—
171C2×#106C2312yes—
172#424—42no—
173C2×C4⋊C8C2314yes—
174#419—24no—
175#419—42no—
176#417—24no—
177#417—42no—
178#416—24no—
179#416—42no—
180C2×#103—24no—
181C2×#103D418yescomplemented
182C2×#103C2312yes—
183C2×#103C2314yes—
184C2×#103C2312yes—
185C2×#103C2312yes—
186C2×#103C2311yescharacteristic
187C2×#103C2311yescharacteristic
188C2×#103C2312yes—
189C2×#103C2312yes—
190C2×#103C2314yes—
191C2×#103C2312yes—
192C2×#103C2312yes—
193C2×#102C2312yes—
194C2×#102C2311yescharacteristic
195C2×#102C2311yescharacteristic
196C2×#102C2312yes—
197C2×#102C2312yes—
198#407—42no—
199C2×C22⋊C8—24no—
200C2×C22⋊C8C2312yes—
201C2×C22⋊C8C2312yes—
202C2×C22⋊C8C2314yes—
203#405—24no—
204C2×#97C2312yes—
205C2×C4×C8C2312yes—
206#400—24no—
207#398—24no—
208#398—24no—
209#398—24no—
210#396—24no—
211#396—24no—
212#395—24no—
213#394—24no—
214#391C2312yes—
215#390—24no—
216#390C2312yes—
217#389—22no—
218#389—22no—
219#389—24no—
220#389C2314yes—
221#389C2314yes—
222#389C2314yes—
223#388—24no—
224#388—24no—
225#386—22no—
226#385—22no—
227#385—22no—
228#385—22no—
229#385—24no—
230#385—24no—
231#384—21no—
232#384—21no—
233#384C2312yes—
234#382—21no—
235#382—21no—
236#382C2312yes—
237#381—21no—
238#381D412yes—
239#380—22no—
240#380—22no—
241#380—24no—
242#380D412yes—
243#380D412yes—
244#380C2312yes—
245#380C2312yes—
246#379—21no—
247#379D412yes—
248C4×C22⋊C4—22no—
249C4×C22⋊C4C2314yes—
250#340C2312yes—
251#340C2314yes—
252#340C2314yes—
253#340C2312yes—
254#340C2314yes—
255#336C2314yes—
256#336C2312yes—
257#336C2312yes—
258C25C2×D411yescharacteristic
259C2×#41—22no—
260C2×#41—22no—
261C2×#41—22no—
262C2×#41—22no—
263C2×#41—22no—
264C2×#41—22no—
265C22×Q8—21no—
266C22×Q8—22no—
267C22×Q8—22no—
268C22×Q8—22no—
269C22×Q8—22no—
270C22×Q8—22no—
271C22×Q8—22no—
272C22×Q8C2×D414yes—
273C22×Q8C2411yescharacteristic
274C22×Q8C2412yes—
275C22×D4—21no—
276C22×D4—22no—
277C22×D4C2411yescharacteristic
278C23×C4—21no—
279C23×C4—21no—
280C23×C4—22no—
281C23×C4—22no—
282C23×C4—22no—
283C23×C4—22no—
284C23×C4—22no—
285C23×C4—22no—
286C23×C4—24no—
287C23×C4—21no—
288C23×C4—21no—
289C23×C4—21no—
290C23×C4—44no—
291C23×C4—84no—
292C23×C4C2×D411yescharacteristic
293C23×C4C2×D412yes—
294C23×C4C2412yes—
295C23×C4C2411yescharacteristic
296C2×M16—22no—
297C2×M16—22no—
298C2×M16—22no—
299C2×M16—22no—
300C2×M16—22no—
301C2×M16—22no—
302C22×C8—22no—
303C22×C8—22no—
304C22×C8—22no—
305C22×C8—22no—
306C22×C8—22no—
307C22×C8C2×D414yes—
308C22×C8C2412yes—
309C22×C8C2412yes—
310C22×C8C2412yes—
311C22×C8C2411yescharacteristic
312C22×C8C2411yescharacteristic
313C4⋊Q8—24no—
314C4⋊Q8—24no—
315C4⋊Q8—42no—
316C4⋊Q8—42no—
317C4⋊Q8—44no—
318#125—24no—
319#125—42no—
320#125—44no—
321#124—24no—
322#124—42no—
323#123—44no—
324#123—48no—
325C22⋊Q8—28no—
326C22⋊Q8—24no—
327C22⋊Q8—48no—
328C22⋊Q8—44no—
329C22⋊Q8—42no—
330C22⋊Q8—44no—
331C22⋊Q8—44no—
332C22⋊Q8—48no—
333C22⋊Q8—88no—
334#121—24no—
335#121—42no—
336#120—44no—
337C4×Q8—28no—
338C4×Q8—44no—
339C4×Q8—48no—
340C4×D4—48no—
341#117—22no—
342#117—22no—
343#117—22no—
344#117—22no—
345#117—22no—
346#117—22no—
347#117—22no—
348#117—22no—
349#117—22no—
350#117—48no—
351#117#4114yes—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—28no—
359C2×C4⋊C4—21no—
360C2×C4⋊C4—24no—
361C2×C4⋊C4—24no—
362C2×C4⋊C4—21no—
363C2×C4⋊C4—24no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—22no—
367C2×C4⋊C4—22no—
368C2×C4⋊C4—22no—
369C2×C4⋊C4—22no—
370C2×C4⋊C4—24no—
371C2×C4⋊C4—24no—
372C2×C4⋊C4—24no—
373C2×C4⋊C4—24no—
374C2×C4⋊C4—44no—
375C2×C4⋊C4—48no—
376C2×C4⋊C4—44no—
377C2×C4⋊C4—44no—
378C2×C4⋊C4C2×D412yes—
379C2×C4⋊C4C2×D411yescharacteristic
380C2×C4⋊C4C2×D411yescharacteristic
381C2×C4⋊C4C2×D414yes—
382C2×C4⋊C4C2412yes—
383C2×C4⋊C4C2412yes—
384C2×C4⋊C4C2411yescharacteristic
385C2×C4⋊C4C2411yescharacteristic
386C2×C4⋊C4C2412yes—
387C2×C4⋊C4C2412yes—
388C2×C4⋊C4C2412yes—
389C2×C22⋊C4—21no—
390C2×C22⋊C4—24no—
391C2×C22⋊C4—21no—
392C2×C22⋊C4—21no—
393C2×C22⋊C4—22no—
394C2×C22⋊C4—22no—
395C2×C22⋊C4—22no—
396C2×C22⋊C4—22no—
397C2×C22⋊C4—22no—
398C2×C22⋊C4—22no—
399C2×C22⋊C4—24no—
400C2×C22⋊C4—44no—
401C2×C22⋊C4C2×D412yes—
402C2×C22⋊C4C2×D412yes—
403C2×C22⋊C4C2×D414yes—
404C2×C22⋊C4C2×D414yes—
405C2×C42—21no—
406C2×C42—24no—
407C2×C42—21no—
408C2×C42—21no—
409C2×C42C2412yes—
410C2×C42C2412yes—
411#107—24no—
412#107—24no—
413#107—28no—
414#107—24no—
415#107—42no—
416#106—24no—
417#106—42no—
418C4⋊C8—44no—
419#103—28no—
420#103—24no—
421#103—24no—
422#103—22no—
423#103—22no—
424#103—24no—
425#103—42no—
426#103—42no—
427#103—44no—
428#103C2×D418yes—
429#103C2×D418yes—
430#102—22no—
431#102—22no—
432#102—24no—
433#102—42no—
434#102—42no—
435C22⋊C8—24no—
436C22⋊C8—24no—
437C22⋊C8—44no—
438#97—24no—
439C4×C8—24no—
440#95—22no—
441#95—22no—
442#95—24no—
443#95—24no—
444#95—24no—
445#95—24no—
446#95—24no—
447#95C2×D414yes—
448#95C2×D414yes—
449C24—22no—
450C24—24no—
451C24—22no—
452C24—22no—
453C24—21no—
454C24—42no—
455C24C22×D412yes—
456C24C22×D411yescharacteristic
457#41—44no—
458#41—44no—
459#41—44no—
460#41—44no—
461C2×Q8—24no—
462C2×Q8—22no—
463C2×Q8—28no—
464C2×Q8—28no—
465C2×Q8—21no—
466C2×Q8—22no—
467C2×Q8—21no—
468C2×Q8—22no—
469C2×Q8—21no—
470C2×Q8—21no—
471C2×Q8—22no—
472C2×Q8—22no—
473C2×Q8—21no—
474C2×Q8—21no—
475C2×Q8—44no—
476C2×Q8—42no—
477C2×Q8—44no—
478C2×Q8—42no—
479C2×Q8—44no—
480C2×Q8—84no—
481C2×Q8C22×D414yes—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—44no—
489C2×D4—42no—
490C2×D4—42no—
491C2×D4—42no—
492C2×D4—44no—
493C2×D4—82no—
494C22×C4—22no—
495C22×C4—24no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—21no—
513C22×C4—22no—
514C22×C4—21no—
515C22×C4—22no—
516C22×C4—21no—
517C22×C4—48no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—48no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—82no—
531C22×C4—82no—
532C22×C4—84no—
533C22×C4—82no—
534C22×C4—816no—
535C22×C4C22×D412yes—
536C22×C4C22×D414yes—
537C22×C4C22×D412yes—
538C22×C4C22×D412yes—
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D412yes—
541C22×C4C2×#4112yes—
542C22×C4H(5,𝔽2)12yes—
543C22×C4H(5,𝔽2)12yes—
544C22×C42−1+412yes—
545C22×C42−1+412yes—
546C22×C4C2511yescharacteristic
547M16—44no—
548M16—44no—
549C2×C8—28no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—22no—
555C2×C8—22no—
556C2×C8—22no—
557C2×C8—22no—
558C2×C8—22no—
559C2×C8—22no—
560C2×C8—22no—
561C2×C8—22no—
562C2×C8—22no—
563C2×C8—44no—
564C2×C8C22×D412yes—
565C2×C8C22×D412yes—
566C4⋊C4—24no—
567C4⋊C4—22no—
568C4⋊C4—22no—
569C4⋊C4—24no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—22no—
577C4⋊C4—22no—
578C4⋊C4—22no—
579C4⋊C4—21no—
580C4⋊C4—22no—
581C4⋊C4—21no—
582C4⋊C4—48no—
583C4⋊C4—48no—
584C4⋊C4—48no—
585C4⋊C4—44no—
586C4⋊C4—44no—
587C4⋊C4—44no—
588C4⋊C4—44no—
589C4⋊C4—44no—
590C4⋊C4—44no—
591C4⋊C4—42no—
592C4⋊C4—42no—
593C4⋊C4—84no—
594C4⋊C4—84no—
595C4⋊C4—84no—
596C4⋊C4—84no—
597C4⋊C4C22×D414yes—
598C4⋊C4C2×#4114yes—
599C22⋊C4—24no—
600C22⋊C4—24no—
601C22⋊C4—24no—
602C22⋊C4—28no—
603C22⋊C4—44no—
604C22⋊C4—44no—
605C22⋊C4—44no—
606C22⋊C4—44no—
607C22⋊C4—48no—
608C22⋊C4—44no—
609C22⋊C4—44no—
610C22⋊C4—42no—
611C22⋊C4—42no—
612C22⋊C4—44no—
613C22⋊C4—84no—
614C42—24no—
615C42—22no—
616C42—22no—
617C42—22no—
618C42—22no—
619C42—48no—
620C42—42no—
621C42—42no—
622C23—22no—
623C23—22no—
624C23—28no—
625C23—22no—
626C23—22no—
627C23—22no—
628C23—22no—
629C23—22no—
630C23—22no—
631C23—48no—
632C23—48no—
633C23—44no—
634C23—44no—
635C23—42no—
636C23—41no—
637C23—41no—
638C23—41no—
639C23—42no—
640C23#53612yes—
641C23D4212yes—
642C23#54612yes—
643C23#57814yes—
644C23C23×D411yescharacteristic
645Q8—24no—
646Q8—24no—
647Q8—48no—
648Q8—42no—
649Q8—42no—
650Q8—41no—
651Q8—41no—
652Q8—41no—
653Q8—41no—
654Q8—164no—
655D4—41no—
656D4—41no—
657D4—41no—
658D4—41no—
659D4—88no—
660D4—84no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—22no—
669C2×C4—24no—
670C2×C4—24no—
671C2×C4—22no—
672C2×C4—24no—
673C2×C4—24no—
674C2×C4—42no—
675C2×C4—44no—
676C2×C4—44no—
677C2×C4—48no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—48no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—41no—
696C2×C4—42no—
697C2×C4—41no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—84no—
701C2×C4—816no—
702C2×C4—84no—
703C2×C4—84no—
704C2×C4—84no—
705C2×C4#53612yes—
706C2×C4#53714yes—
707C2×C4#54214yes—
708C2×C4D4212yes—
709C2×C4#54612yes—
710C2×C4#54714yes—
711C2×C4#56214yes—
712C2×C4C23×D411yescharacteristic
713C2×C4C22×#4111yescharacteristic
714C2×C4C2×H(5,𝔽2)11yescharacteristic
715C2×C4C2×H(5,𝔽2)11yescharacteristic
716C2×C4C2×2−1+411yescharacteristic
717C2×C4C2×2−1+411yescharacteristic
718C8—22no—
719C8—22no—
720C8—42no—
721C8—42no—
722C8—42no—
723C22—24no—
724C22—22no—
725C22—22no—
726C22—24no—
727C22—24no—
728C22—24no—
729C22—24no—
730C22—416no—
731C22—42no—
732C22—42no—
733C22—42no—
734C22—42no—
735C22—82no—
736C22—81no—
737C22—81no—
738C22—81no—
739C22—82no—
740C22#267214yes—
741C22C2×#53611yescharacteristic
742C22C2×D4211yescharacteristic
743C22C2×#54611yescharacteristic
744C22C2×#57812yes—
745C22#358512yes—
746C4—44no—
747C4—44no—
748C4—42no—
749C4—44no—
750C4—42no—
751C4—42no—
752C4—44no—
753C4—82no—
754C4—81no—
755C4—81no—
756C4—82no—
757C4—82no—
758C4—81no—
759C4#267214yes—
760C4C2×#53711yescharacteristic
761C4C2×#54211yescharacteristic
762C4C2×#54711yescharacteristic
763C4C2×#56211yescharacteristic
764C2—24no—
765C2—44no—
766C2—161no—
767C2C2×#267211yescharacteristic
768C2#6087412yes—
769C2#6105311yescharacteristic
770C2#6105911yescharacteristic
771C2#6119412yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#525C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2280 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3137C2semidirect
2. C22×#484C2semidirect
4. #35224C2semidirect
5. #30659C2semidirect
6. #30651C2semidirect
7. #30643C2semidirect
8. #30635C2semidirect
9. #23737C2semidirect
10. #23611C2semidirect
11. #23555C2semidirect
12. #23510C2semidirect
13. #23481C2semidirect
15. #21156C2semidirect
16. #21050C2semidirect
18. #20880C2semidirect
19. #20651C2semidirect
27. C2×#491C22semidirect
28. C2×#489C22semidirect
29. C2×#488C22semidirect
30. C2×#487C22semidirect
69. #2097C22semidirect
70. #2095C22semidirect
71. #2093C22semidirect
72. #2092C22semidirect
73. #2068C22semidirect
74. #2067C22semidirect
75. #2059C22semidirect
76. #2057C22semidirect
77. #2043C22semidirect
78. #2042C22semidirect
85. #1944C22semidirect
86. #1942C22semidirect
91. #1865C22semidirect
92. #1863C22semidirect
93. #1805C22semidirect
94. #1803C22semidirect
181. C2×#103D4semidirect

Maximal subgroups

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

subgroupindex
C2×#31372
C22×#4842
#356612
#352242
#306592
#306512
#306432
#306352
#237372
#236112
#235552
#235102
#234812
#234792
#211562
#210502
#209092
#208802
#206512