Finite Group Databasebeta

← #7503530

Subgroups — #7503530

Order 512.

2136 conjugacy classes of subgroups.

The subgroup lattice has 777 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#483C211yesmaximal, characteristic, complemented
2C2×#3084C211yesmaximal, characteristic, complemented
3#35633C211yesmaximal, characteristic
4#35224C211yesmaximal, characteristic, complemented
5#31144C214yesmaximal, complemented
6#31136C214yesmaximal, complemented
7#31128C214yesmaximal, complemented
8#31120C214yesmaximal, complemented
9#23661C211yesmaximal, characteristic, complemented
10#23613C211yesmaximal, characteristic, complemented
11#23512C211yesmaximal, characteristic, complemented
12#23481C211yesmaximal, characteristic, complemented
13#23479C211yesmaximal, characteristic
14#23457C211yesmaximal, characteristic, complemented
15#21205C211yesmaximal, characteristic, complemented
16#21157C211yesmaximal, characteristic, complemented
17#21053C211yesmaximal, characteristic, complemented
18#20909C211yesmaximal, characteristic
19#20882C211yesmaximal, characteristic, complemented
20C2×#544C2211yescharacteristic
21C2×#536C2211yescharacteristic
22C2×#525C2211yescharacteristic
23C22×C22⋊Q8C2211yescharacteristic
24C2×#520C2211yescharacteristic
25C23×C4⋊C4C2211yescharacteristic
26C2×#483—28no—
27C2×#483C2214yes—
28C2×#483C2214yes—
29#3084—28no—
30C2×#479C2212yescomplemented
31C2×#475C2212yescomplemented
32C2×#478C2212yescomplemented
33C2×#476C2212yescomplemented
34C2×#428C2211yescharacteristic
35C2×#427C2211yescharacteristic
36C22×#106C2211yescharacteristic
37C22×#106C2211yescharacteristic
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#2534—22no—
53#2486—22no—
54#2442—22no—
55#2442C2214yes—
56#2440—22no—
57#2440C2214yes—
58#2429C2214yes—
59#2427C2214yes—
60#2417—22no—
61#2415—22no—
62#2317C2211yescharacteristic
63#2317C2211yescharacteristic
64#2316C2211yescharacteristic
65#2316C2211yescharacteristic
66#2310C2211yescharacteristic
67#2280C2211yescharacteristic
68#2280C2211yescharacteristic
69#2085C2214yescomplemented
70#2084C2214yescomplemented
71#2068C2214yescomplemented
72#2066C2214yescomplemented
73#2043C2214yescomplemented
74#2042C2214yescomplemented
75#2036C2214yes—
76#2036C2212yes—
77#2035C2212yes—
78#2035C2214yes—
79#2034C2212yes—
80#2033C2212yes—
81#2026C2214yescomplemented
82#2024C2214yescomplemented
83#1960C2212yescomplemented
84#1959C2212yescomplemented
85#1958C2212yescomplemented
86#1956C2212yescomplemented
87#1944C2214yescomplemented
88#1941C2214yescomplemented
89#1924C2214yes—
90#1923C2214yes—
91#1874C2214yes—
92#1872C2214yes—
93#1865C2214yescomplemented
94#1864C2214yescomplemented
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—22no—
125C2×C22⋊Q8—22no—
126C2×C22⋊Q8—24no—
127C2×C22⋊Q8—24no—
128C2×C22⋊Q8—42no—
129C2×C22⋊Q8C2314yes—
130C2×C22⋊Q8C2312yes—
131C2×#121C2312yes—
132C2×#120—21no—
133#520—24no—
134#520—42no—
135C2×C4×Q8C2312yes—
136C2×C4×D4—22no—
137C2×C4×D4—22no—
138C2×C4×D4C2312yes—
139C2×#117—21no—
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—21no—
150C22×C4⋊C4—42no—
151C22×C4⋊C4C2311yescharacteristic
152C22×C4⋊C4C2314yes—
153C22×C4⋊C4C2311yescharacteristic
154C22×C4⋊C4C2311yescharacteristic
155C22×C22⋊C4—21no—
156#483—216no—
157#483—216no—
158#479—28no—
159#478—28no—
160#476—28no—
161#475—28no—
162#428—24no—
163#427—42no—
164C2×#107C2312yes—
165C2×#107C2312yes—
166C2×#106—24no—
167C2×#106D418yescomplemented
168C2×#106C2312yes—
169C2×#106C2314yes—
170C2×#106C2312yes—
171C2×#106C2312yes—
172C2×#106C2312yes—
173#424—24no—
174C2×C4⋊C8C2312yes—
175C2×C4⋊C8C2312yes—
176#419—42no—
177#419—42no—
178#417—24no—
179#417—42no—
180#416—24no—
181#416—24no—
182C2×#103—24no—
183C2×#103—24no—
184C2×#103C2311yescharacteristic
185C2×#103C2312yes—
186C2×#103C2311yescharacteristic
187C2×#103C2312yes—
188C2×#103C2312yes—
189C2×#103C2314yes—
190C2×#103C2312yes—
191C2×#103C2314yes—
192C2×#103C2312yes—
193C2×#103C2312yes—
194C2×#103C2312yes—
195C2×#102C2311yescharacteristic
196C2×#102C2312yes—
197C2×#102C2312yes—
198C2×#102C2311yescharacteristic
199C2×#102C2312yes—
200#407—42no—
201C2×C22⋊C8—24no—
202C2×C22⋊C8C2312yes—
203C2×C22⋊C8C2312yes—
204C2×C22⋊C8C2314yes—
205#405—42no—
206C2×#97C2312yes—
207C2×C4×C8C2312yes—
208#400—24no—
209#398—24no—
210#398—24no—
211#398—24no—
212#397—24no—
213#396—24no—
214#395—24no—
215#394—24no—
216#391—21no—
217#391—21no—
218#391C2314yes—
219#389—22no—
220#389—22no—
221#389—22no—
222#389—24no—
223#389C2314yes—
224#389C2314yes—
225#389C2314yes—
226#388—24no—
227#386—24no—
228#385—22no—
229#385—22no—
230#385—24no—
231#385—24no—
232#384—21no—
233#384C2312yes—
234#382—21no—
235#382C2312yes—
236#381—21no—
237#381—22no—
238#381D412yes—
239#380—22no—
240#380—22no—
241#380—24no—
242#380—24no—
243#380D412yes—
244#380D412yes—
245#380C2312yes—
246#380C2312yes—
247#379—21no—
248#379D412yes—
249C4×C22⋊C4—22no—
250C4×C22⋊C4C2314yes—
251#340C2314yes—
252#340C2312yes—
253#340C2312yes—
254#340C2314yes—
255#340C2314yes—
256#336C2314yes—
257#336C2314yes—
258C25C2×D411yescharacteristic
259C2×#41—22no—
260C2×#41—22no—
261C2×#41—22no—
262C2×#41—22no—
263C2×#41—22no—
264C2×#41#4114yes—
265C22×Q8—21no—
266C22×Q8—22no—
267C22×Q8—22no—
268C22×Q8—22no—
269C22×Q8—22no—
270C22×Q8—22no—
271C22×Q8—22no—
272C22×Q8—22no—
273C22×Q8C2412yes—
274C22×Q8C2411yescharacteristic
275C22×D4—21no—
276C22×D4—22no—
277C22×D4C2411yescharacteristic
278C23×C4—21no—
279C23×C4—21no—
280C23×C4—22no—
281C23×C4—21no—
282C23×C4—22no—
283C23×C4—22no—
284C23×C4—22no—
285C23×C4—22no—
286C23×C4—22no—
287C23×C4—21no—
288C23×C4—24no—
289C23×C4—21no—
290C23×C4—22no—
291C23×C4—44no—
292C23×C4—84no—
293C23×C4C2×D411yescharacteristic
294C23×C4C2×D412yes—
295C23×C4C2412yes—
296C23×C4C2411yescharacteristic
297C2×M16—22no—
298C2×M16—22no—
299C2×M16—22no—
300C2×M16—22no—
301C2×M16—22no—
302C2×M16—22no—
303C22×C8—22no—
304C22×C8—22no—
305C22×C8—22no—
306C22×C8—22no—
307C22×C8—22no—
308C22×C8C2×D414yes—
309C22×C8C2412yes—
310C22×C8C2412yes—
311C22×C8C2412yes—
312C22×C8C2411yescharacteristic
313C22×C8C2411yescharacteristic
314C4⋊Q8—24no—
315C4⋊Q8—24no—
316C4⋊Q8—42no—
317C4⋊Q8—42no—
318C4⋊Q8—44no—
319#125—24no—
320#125—42no—
321#125—44no—
322#124—24no—
323#124—42no—
324#123—48no—
325#123—44no—
326C22⋊Q8—24no—
327C22⋊Q8—28no—
328C22⋊Q8—48no—
329C22⋊Q8—44no—
330C22⋊Q8—42no—
331C22⋊Q8—48no—
332C22⋊Q8—48no—
333C22⋊Q8—88no—
334#121—24no—
335#121—42no—
336#120—44no—
337C4×Q8—24no—
338C4×Q8—42no—
339C4×D4—24no—
340C4×D4—42no—
341C4×D4—48no—
342C4×D4—48no—
343#117—22no—
344#117—22no—
345#117—22no—
346#117—22no—
347#117—22no—
348#117—22no—
349#117—22no—
350#117—22no—
351#117—22no—
352#117—22no—
353#117—44no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—28no—
361C2×C4⋊C4—21no—
362C2×C4⋊C4—24no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—24no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—24no—
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—44no—
376C2×C4⋊C4—48no—
377C2×C4⋊C4—44no—
378C2×C4⋊C4—44no—
379C2×C4⋊C4C2×D411yescharacteristic
380C2×C4⋊C4C2×D411yescharacteristic
381C2×C4⋊C4C2×D412yes—
382C2×C4⋊C4C2×D414yes—
383C2×C4⋊C4C2×D414yes—
384C2×C4⋊C4C2412yes—
385C2×C4⋊C4C2412yes—
386C2×C4⋊C4C2411yescharacteristic
387C2×C4⋊C4C2411yescharacteristic
388C2×C4⋊C4C2412yes—
389C2×C4⋊C4C2412yes—
390C2×C4⋊C4C2412yes—
391C2×C22⋊C4—24no—
392C2×C22⋊C4—21no—
393C2×C22⋊C4—21no—
394C2×C22⋊C4—21no—
395C2×C22⋊C4—22no—
396C2×C22⋊C4—22no—
397C2×C22⋊C4—22no—
398C2×C22⋊C4—22no—
399C2×C22⋊C4—22no—
400C2×C22⋊C4—24no—
401C2×C22⋊C4—44no—
402C2×C22⋊C4C2×D412yes—
403C2×C22⋊C4C2×D412yes—
404C2×C22⋊C4C2×D414yes—
405C2×C22⋊C4C2×D414yes—
406C2×C42—22no—
407C2×C42—21no—
408C2×C42—21no—
409C2×C42—21no—
410C2×C42C2412yes—
411C2×C42C2412yes—
412#107—24no—
413#107—42no—
414#106—28no—
415#106—24no—
416#106—42no—
417#106C2×D418yes—
418#106C2×D418yes—
419C4⋊C8—24no—
420C4⋊C8—24no—
421#103—24no—
422#103—24no—
423#103—24no—
424#103—22no—
425#103—22no—
426#103—28no—
427#103—24no—
428#103—42no—
429#103—44no—
430#103—42no—
431#103—42no—
432#102—24no—
433#102—22no—
434#102—22no—
435#102—24no—
436#102—42no—
437C22⋊C8—24no—
438C22⋊C8—24no—
439C22⋊C8—44no—
440#97—42no—
441C4×C8—42no—
442#95—22no—
443#95—22no—
444#95—24no—
445#95—24no—
446#95—24no—
447#95—24no—
448#95—24no—
449#95—24no—
450#95C2×D414yes—
451#95C2×D414yes—
452C24—22no—
453C24—24no—
454C24—22no—
455C24—22no—
456C24—21no—
457C24—42no—
458C24C22×D412yes—
459C24C22×D411yescharacteristic
460#41—28no—
461#41—28no—
462#41—44no—
463#41—44no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—22no—
467C2×Q8—22no—
468C2×Q8—21no—
469C2×Q8—22no—
470C2×Q8—22no—
471C2×Q8—21no—
472C2×Q8—21no—
473C2×Q8—22no—
474C2×Q8—22no—
475C2×Q8—44no—
476C2×Q8—42no—
477C2×Q8—42no—
478C2×Q8—42no—
479C2×Q8—44no—
480C2×Q8—44no—
481C2×Q8—44no—
482C2×Q8—44no—
483C2×Q8—84no—
484C2×Q8C2×#4112yes—
485C2×D4—24no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—42no—
492C2×D4—42no—
493C2×D4—44no—
494C2×D4—44no—
495C2×D4—82no—
496C2×D4C2×#4112yes—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—21no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—21no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—21no—
521C22×C4—44no—
522C22×C4—48no—
523C22×C4—42no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—42no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4—42no—
532C22×C4—42no—
533C22×C4—48no—
534C22×C4—84no—
535C22×C4—82no—
536C22×C4—82no—
537C22×C4—84no—
538C22×C4—82no—
539C22×C4—816no—
540C22×C4C22×D412yes—
541C22×C4C22×D414yes—
542C22×C4C22×D412yes—
543C22×C4C22×D412yes—
544C22×C4C22×D411yescharacteristic
545C22×C4C22×D412yes—
546C22×C4C2×#4112yes—
547C22×C4H(5,𝔽2)12yes—
548C22×C4H(5,𝔽2)12yes—
549C22×C42−1+412yes—
550C22×C42−1+412yes—
551C22×C4C2511yescharacteristic
552M16—44no—
553M16—44no—
554C2×C8—28no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—22no—
560C2×C8—22no—
561C2×C8—22no—
562C2×C8—22no—
563C2×C8—22no—
564C2×C8—22no—
565C2×C8—22no—
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—44no—
569C2×C8C22×D412yes—
570C2×C8C22×D412yes—
571C4⋊C4—24no—
572C4⋊C4—24no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—24no—
576C4⋊C4—22no—
577C4⋊C4—22no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—22no—
581C4⋊C4—22no—
582C4⋊C4—22no—
583C4⋊C4—22no—
584C4⋊C4—22no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—22no—
588C4⋊C4—48no—
589C4⋊C4—44no—
590C4⋊C4—48no—
591C4⋊C4—44no—
592C4⋊C4—48no—
593C4⋊C4—44no—
594C4⋊C4—44no—
595C4⋊C4—44no—
596C4⋊C4—42no—
597C4⋊C4—84no—
598C4⋊C4—84no—
599C4⋊C4—84no—
600C4⋊C4—84no—
601C4⋊C4C22×D414yes—
602C4⋊C4C22×D414yes—
603C22⋊C4—24no—
604C22⋊C4—24no—
605C22⋊C4—28no—
606C22⋊C4—44no—
607C22⋊C4—44no—
608C22⋊C4—48no—
609C22⋊C4—44no—
610C22⋊C4—44no—
611C22⋊C4—48no—
612C22⋊C4—44no—
613C22⋊C4—42no—
614C22⋊C4—42no—
615C22⋊C4—42no—
616C22⋊C4—44no—
617C42—22no—
618C42—22no—
619C42—22no—
620C42—22no—
621C42—44no—
622C42—42no—
623C42—42no—
624C42—42no—
625C23—22no—
626C23—22no—
627C23—28no—
628C23—22no—
629C23—22no—
630C23—22no—
631C23—22no—
632C23—22no—
633C23—22no—
634C23—22no—
635C23—48no—
636C23—48no—
637C23—44no—
638C23—44no—
639C23—42no—
640C23—41no—
641C23—41no—
642C23—42no—
643C23#53612yes—
644C23D4212yes—
645C23#54612yes—
646C23#57714yes—
647C23C23×D411yescharacteristic
648Q8—22no—
649Q8—22no—
650Q8—41no—
651Q8—41no—
652Q8—42no—
653Q8—42no—
654Q8—42no—
655Q8—42no—
656Q8—84no—
657Q8—164no—
658D4—22no—
659D4—22no—
660D4—48no—
661D4—41no—
662D4—41no—
663D4—88no—
664C2×C4—24no—
665C2×C4—24no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—24no—
670C2×C4—24no—
671C2×C4—22no—
672C2×C4—24no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—44no—
678C2×C4—41no—
679C2×C4—44no—
680C2×C4—41no—
681C2×C4—44no—
682C2×C4—42no—
683C2×C4—48no—
684C2×C4—48no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—44no—
702C2×C4—42no—
703C2×C4—84no—
704C2×C4—84no—
705C2×C4—816no—
706C2×C4—84no—
707C2×C4—84no—
708C2×C4—164no—
709C2×C4#53612yes—
710C2×C4#53714yes—
711C2×C4#53914yes—
712C2×C4D4212yes—
713C2×C4#54612yes—
714C2×C4#54814yes—
715C2×C4#56214yes—
716C2×C4C23×D411yescharacteristic
717C2×C4C22×#4111yescharacteristic
718C2×C4C2×H(5,𝔽2)11yescharacteristic
719C2×C4C2×H(5,𝔽2)11yescharacteristic
720C2×C4C2×2−1+411yescharacteristic
721C2×C4C2×2−1+411yescharacteristic
722C8—22no—
723C8—22no—
724C8—42no—
725C8—42no—
726C8—42no—
727C22—24no—
728C22—22no—
729C22—22no—
730C22—24no—
731C22—24no—
732C22—24no—
733C22—24no—
734C22—416no—
735C22—42no—
736C22—42no—
737C22—42no—
738C22—42no—
739C22—44no—
740C22—42no—
741C22—81no—
742C22—81no—
743C22—82no—
744C22#268114yes—
745C22C2×#53611yescharacteristic
746C22C2×D4211yescharacteristic
747C22C2×#54611yescharacteristic
748C22C2×#57712yes—
749C22#358612yes—
750C4—44no—
751C4—42no—
752C4—44no—
753C4—42no—
754C4—42no—
755C4—42no—
756C4—44no—
757C4—82no—
758C4—82no—
759C4—82no—
760C4—81no—
761C4—82no—
762C4—81no—
763C4#268114yes—
764C4C2×#53711yescharacteristic
765C4C2×#53911yescharacteristic
766C4C2×#54811yescharacteristic
767C4C2×#56211yescharacteristic
768C2—24no—
769C2—44no—
770C2—82no—
771C2C2×#268111yescharacteristic
772C2#6087212yes—
773C2#6105011yescharacteristic
774C2#6106011yescharacteristic
775C2#6119312yes—
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. C22×#483C2semidirect
2. C2×#3084C2semidirect
4. #35224C2semidirect
5. #31144C2semidirect
6. #31136C2semidirect
7. #31128C2semidirect
8. #31120C2semidirect
9. #23661C2semidirect
10. #23613C2semidirect
11. #23512C2semidirect
12. #23481C2semidirect
14. #23457C2semidirect
15. #21205C2semidirect
16. #21157C2semidirect
17. #21053C2semidirect
19. #20882C2semidirect
30. C2×#479C22semidirect
31. C2×#475C22semidirect
32. C2×#478C22semidirect
33. C2×#476C22semidirect
69. #2085C22semidirect
70. #2084C22semidirect
71. #2068C22semidirect
72. #2066C22semidirect
73. #2043C22semidirect
74. #2042C22semidirect
81. #2026C22semidirect
82. #2024C22semidirect
83. #1960C22semidirect
84. #1959C22semidirect
85. #1958C22semidirect
86. #1956C22semidirect
87. #1944C22semidirect
88. #1941C22semidirect
93. #1865C22semidirect
94. #1864C22semidirect
167. C2×#106D4semidirect

Maximal subgroups

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

subgroupindex
C22×#4832
C2×#30842
#356332
#352242
#311442
#311362
#311282
#311202
#236612
#236132
#235122
#234812
#234792
#234572
#212052
#211572
#210532
#209092
#208822