Finite Group Databasebeta

← #6444023

Subgroups — #6444023

Order 512.

2398 conjugacy classes of subgroups.

The subgroup lattice has 793 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3096C211yesmaximal, characteristic, complemented
2C22×#480C211yesmaximal, characteristic, complemented
3#35514C211yesmaximal, characteristic
4#34200C211yesmaximal, characteristic, complemented
5#25027C214yesmaximal, complemented
6#25022C214yesmaximal, complemented
7#25019C214yesmaximal, complemented
8#25010C214yesmaximal, complemented
9#23639C211yesmaximal, characteristic, complemented
10#23638C211yesmaximal, characteristic, complemented
11#23483C211yesmaximal, characteristic, complemented
12#23480C211yesmaximal, characteristic, complemented
13#21191C211yesmaximal, characteristic, complemented
14#21173C211yesmaximal, characteristic, complemented
15#20847C211yesmaximal, characteristic, complemented
16#20844C211yesmaximal, characteristic, complemented
17#20803C211yesmaximal, characteristic, complemented
18#20650C211yesmaximal, characteristic, complemented
19#20416C211yesmaximal, characteristic, complemented
20C2×#535C2211yescharacteristic
21C2×#525C2211yescharacteristic
22C22×#121C2211yescharacteristic
23C2×#520C2211yescharacteristic
24C2×#518C2211yescharacteristic
25C23×C4⋊C4C2211yescharacteristic
26#3096—28no—
27C2×#481C2212yescomplemented
28C2×#482C2212yescomplemented
29C2×#482C2212yescomplemented
30C2×#480—28no—
31C2×#480C2214yes—
32C2×#480C2214yes—
33C2×#480C2212yescomplemented
34C2×#428C2211yescharacteristic
35C2×#428C2211yescharacteristic
36C2×#428C2211yescharacteristic
37C2×#427C2211yescharacteristic
38C22×#107C2211yescharacteristic
39C22×#107C2211yescharacteristic
40C2×#424C2211yescharacteristic
41C2×#418C2211yescharacteristic
42C2×#418C2211yescharacteristic
43C22×#102C2211yescharacteristic
44C22×#102C2211yescharacteristic
45C2×#408C2211yescharacteristic
46C2×#408C2211yescharacteristic
47C2×#407C2211yescharacteristic
48C22×C22⋊C8C2211yescharacteristic
49C2×#405C2211yescharacteristic
50#2537C2214yes—
51#2535C2214yes—
52#2428—22no—
53#2427—22no—
54#2412—22no—
55#2410—22no—
56#2361—22no—
57#2360—22no—
58#2352C2214yescomplemented
59D4×C4⋊C4C2214yescomplemented
60#2322—22no—
61#2317C2211yescharacteristic
62#2317C2211yescharacteristic
63#2311C2211yescharacteristic
64#2311C2211yescharacteristic
65C4×#120—22no—
66#2280C2211yescharacteristic
67#2280C2211yescharacteristic
68#2274C2211yescharacteristic
69#2077C2212yescomplemented
70#2077C2212yescomplemented
71#2076C2212yescomplemented
72#2076C2214yescomplemented
73#2075C2212yescomplemented
74#2075C2214yescomplemented
75#2034C2214yes—
76#2034C2214yescomplemented
77#2033C2214yes—
78#2033C2214yescomplemented
79#1955C2214yescomplemented
80#1954C2214yescomplemented
81#1949C2214yescomplemented
82#1947C2214yescomplemented
83#1854C2214yescomplemented
84#1853C2214yescomplemented
85#1852C2214yescomplemented
86#1852C2214yescomplemented
87#1847C2212yescomplemented
88#1847C2212yescomplemented
89#1846C2212yescomplemented
90#1845C2212yescomplemented
91#1804C2214yescomplemented
92#1802C2214yescomplemented
93#1762C2214yescomplemented
94C4×#102C2214yescomplemented
95#1736C2211yescharacteristic
96#1736C2211yescharacteristic
97#1736C2211yescharacteristic
98#1735C2211yescharacteristic
99#1735C2211yescharacteristic
100#1735C2211yescharacteristic
101C22×#41C2311yescharacteristic
102C23×D4—21no—
103C23×D4C2311yescharacteristic
104C24×C4—21no—
105C24×C4C2311yescharacteristic
106C22×M16C2311yescharacteristic
107C22×M16C2311yescharacteristic
108C23×C8C2311yescharacteristic
109C23×C8C2311yescharacteristic
110#535—24no—
111#535—42no—
112C2×#127—21no—
113C2×#124—21no—
114#525—24no—
115#525—24no—
116C2×#123D412yes—
117C2×C22⋊Q8D412yes—
118C2×#121—22no—
119C2×#121—24no—
120C2×#121—24no—
121C2×#121—42no—
122C2×#121D412yes—
123C2×#121C2314yes—
124C2×#121C2312yes—
125C2×#121C2312yes—
126C2×#120—22no—
127C2×#120D412yes—
128#520—24no—
129#520—42no—
130#518—24no—
131#518—24no—
132C2×C4×Q8—21no—
133C2×C4×D4—22no—
134C2×C4×D4—21no—
135C2×C4×D4—24no—
136C2×C4×D4—22no—
137C2×C4×D4C2314yes—
138C2×C4×D4C2314yes—
139C2×#117C2311yescharacteristic
140C2×#117C2311yescharacteristic
141C2×#117C2311yescharacteristic
142C2×#117C2311yescharacteristic
143C2×#117C2312yes—
144C2×#117C2311yescharacteristic
145C22×C4⋊C4—24no—
146C22×C4⋊C4—21no—
147C22×C4⋊C4—22no—
148C22×C4⋊C4—42no—
149C22×C4⋊C4C2311yescharacteristic
150C22×C4⋊C4C2311yescharacteristic
151C22×C4⋊C4C2314yes—
152C22×C4⋊C4C2312yes—
153C22×C4⋊C4C2311yescharacteristic
154C22×C22⋊C4—21no—
155C22×C22⋊C4—22no—
156#482—28no—
157#482—28no—
158#481—28no—
159#480—216no—
160#480—216no—
161#480—28no—
162#428—24no—
163#428—42no—
164#428—42no—
165#427—24no—
166C2×#107—24no—
167C2×#107—24no—
168C2×#107C2312yes—
169C2×#107C2312yes—
170C2×#107C2314yes—
171C2×#107C2311yescharacteristic
172C2×#107C2312yes—
173C2×#107C2311yescharacteristic
174C2×#107C2312yes—
175C2×#107C2312yes—
176C2×#106C2311yescharacteristic
177C2×#106C2312yes—
178C2×#106C2311yescharacteristic
179C2×#106C2312yes—
180C2×#106C2312yes—
181#424—24no—
182C2×C4⋊C8C2314yes—
183#418—24no—
184#418—24no—
185C2×#102—24no—
186C2×#102D418yescomplemented
187C2×#102C2312yes—
188C2×#102C2314yes—
189C2×#102C2312yes—
190C2×#102C2314yes—
191C2×#102C2312yes—
192C2×#102C2312yes—
193#408—24no—
194#408—24no—
195#407—24no—
196C2×C22⋊C8—24no—
197C2×C22⋊C8C2312yes—
198C2×C22⋊C8C2312yes—
199C2×C22⋊C8C2312yes—
200C2×C22⋊C8C2312yes—
201C2×C22⋊C8C2314yes—
202C2×C22⋊C8C2314yes—
203#405—24no—
204C2×#97C2312yes—
205C2×C4×C8C2312yes—
206#397—24no—
207#394—24no—
208#394—24no—
209#392—24no—
210#391—21no—
211#391—21no—
212#390—21no—
213#390—21no—
214#389—22no—
215#389—22no—
216#389—24no—
217#388—24no—
218#387—24no—
219#386—22no—
220#386—22no—
221#386—24no—
222#386—24no—
223#386—24no—
224#385—22no—
225#385—22no—
226#385—24no—
227#385—24no—
228#384C2312yes—
229#384C2312yes—
230#382C2312yes—
231#382C2312yes—
232#381—21no—
233#381—21no—
234#380—24no—
235#380C2314yes—
236#380C2314yes—
237#380C2312yes—
238#380C2312yes—
239#380C2312yes—
240#380C2312yes—
241#379—21no—
242#379—21no—
243C4×C4⋊C4—22no—
244C4×C4⋊C4C2314yes—
245C4×C22⋊C4—22no—
246C4×C22⋊C4—22no—
247C4×C22⋊C4—22no—
248C4×C22⋊C4—24no—
249#340C2312yes—
250#340C2314yes—
251#340C2312yes—
252#340C2312yes—
253#340C2314yes—
254#340C2312yes—
255#340C2312yes—
256#340C2312yes—
257#340C2314yes—
258C25—21no—
259C25C2×D411yescharacteristic
260C2×#41—22no—
261C2×#41—22no—
262C2×#41—22no—
263C2×#41—22no—
264C2×#41—22no—
265C2×#41—22no—
266C22×Q8C2×D411yescharacteristic
267C22×D4—24no—
268C22×D4—22no—
269C22×D4—22no—
270C22×D4—21no—
271C22×D4—22no—
272C22×D4—22no—
273C22×D4—22no—
274C22×D4—22no—
275C22×D4—22no—
276C22×D4—44no—
277C22×D4—84no—
278C22×D4C2×D412yes—
279C22×D4C2×D411yescharacteristic
280C22×D4C2×D414yes—
281C22×D4C2×D414yes—
282C22×D4C2412yes—
283C23×C4—21no—
284C23×C4—22no—
285C23×C4—22no—
286C23×C4—22no—
287C23×C4—22no—
288C23×C4—22no—
289C23×C4—22no—
290C23×C4—24no—
291C23×C4—21no—
292C23×C4—21no—
293C23×C4—22no—
294C23×C4—24no—
295C23×C4—44no—
296C23×C4—84no—
297C23×C4C2×D411yescharacteristic
298C23×C4C2×D412yes—
299C23×C4C2412yes—
300C23×C4C2412yes—
301C23×C4C2411yescharacteristic
302C2×M16—22no—
303C2×M16—22no—
304C2×M16—22no—
305C2×M16—22no—
306C2×M16—22no—
307C2×M16#4114yes—
308C22×C8—22no—
309C22×C8—22no—
310C22×C8—22no—
311C22×C8—22no—
312C22×C8—22no—
313C22×C8C2×D414yes—
314C22×C8C2412yes—
315C22×C8C2412yes—
316C22×C8C2411yescharacteristic
317C22×C8C2411yescharacteristic
318C22×C8C2412yes—
319#127—44no—
320#124—44no—
321#123—28no—
322C22⋊Q8—28no—
323#121—28no—
324#121—28no—
325#121—24no—
326#121—24no—
327#121—44no—
328#121—42no—
329#121—42no—
330#121—48no—
331#121—88no—
332#120—28no—
333#120—48no—
334C4×Q8—44no—
335C4×D4—28no—
336C4×D4—28no—
337C4×D4—28no—
338C4×D4—28no—
339C4×D4—44no—
340C4×D4—48no—
341C4×D4—48no—
342C4×D4—88no—
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—24no—
352#117—42no—
353#117#4114yes—
354#117#4114yes—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—28no—
362C2×C4⋊C4—24no—
363C2×C4⋊C4—24no—
364C2×C4⋊C4—21no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—21no—
367C2×C4⋊C4—24no—
368C2×C4⋊C4—24no—
369C2×C4⋊C4—44no—
370C2×C4⋊C4—42no—
371C2×C4⋊C4—48no—
372C2×C4⋊C4—44no—
373C2×C4⋊C4C2×D414yes—
374C2×C4⋊C4C2×D414yes—
375C2×C4⋊C4C2×D412yes—
376C2×C4⋊C4C2412yes—
377C2×C4⋊C4C2411yescharacteristic
378C2×C4⋊C4C2412yes—
379C2×C4⋊C4C2411yescharacteristic
380C2×C4⋊C4C2412yes—
381C2×C4⋊C4C2411yescharacteristic
382C2×C4⋊C4C2411yescharacteristic
383C2×C4⋊C4C2412yes—
384C2×C4⋊C4C2412yes—
385C2×C22⋊C4—21no—
386C2×C22⋊C4—21no—
387C2×C22⋊C4—22no—
388C2×C22⋊C4—21no—
389C2×C22⋊C4—21no—
390C2×C22⋊C4—22no—
391C2×C22⋊C4—22no—
392C2×C22⋊C4—22no—
393C2×C22⋊C4—24no—
394C2×C22⋊C4—24no—
395C2×C22⋊C4—22no—
396C2×C22⋊C4—22no—
397C2×C22⋊C4—24no—
398C2×C22⋊C4—24no—
399C2×C22⋊C4—22no—
400C2×C22⋊C4—44no—
401C2×C22⋊C4—48no—
402C2×C22⋊C4C2×D414yes—
403C2×C22⋊C4C2×D414yes—
404C2×C22⋊C4C2×D412yes—
405C2×C42—21no—
406C2×C42—22no—
407C2×C42—21no—
408C2×C42—21no—
409C2×C42—21no—
410C2×C42—24no—
411C2×C42C2412yes—
412#107—24no—
413#107—24no—
414#107—22no—
415#107—22no—
416#107—28no—
417#107—24no—
418#107—42no—
419#107—42no—
420#106—22no—
421#106—22no—
422#106—24no—
423#106—42no—
424#106—42no—
425C4⋊C8—28no—
426#102—28no—
427#102—24no—
428#102—24no—
429#102—28no—
430#102C2×D418yes—
431#102C2×D418yes—
432C22⋊C8—24no—
433C22⋊C8—24no—
434C22⋊C8—24no—
435C22⋊C8—24no—
436C22⋊C8—28no—
437C22⋊C8—28no—
438#97—24no—
439C4×C8—24no—
440#95—24no—
441#95—22no—
442#95—22no—
443#95—22no—
444#95—22no—
445#95—24no—
446#95—24no—
447#95—24no—
448#95—24no—
449C24—22no—
450C24—24no—
451C24—22no—
452C24—22no—
453C24—22no—
454C24—24no—
455C24—42no—
456C24—42no—
457C24—42no—
458C24—82no—
459C24—82no—
460C24C22×D412yes—
461C24C22×D412yes—
462C24C22×D411yescharacteristic
463#41—44no—
464#41—44no—
465#41—44no—
466#41—44no—
467C2×Q8—22no—
468C2×Q8—22no—
469C2×Q8—22no—
470C2×D4—24no—
471C2×D4—24no—
472C2×D4—24no—
473C2×D4—28no—
474C2×D4—28no—
475C2×D4—22no—
476C2×D4—28no—
477C2×D4—22no—
478C2×D4—24no—
479C2×D4—28no—
480C2×D4—22no—
481C2×D4—22no—
482C2×D4—22no—
483C2×D4—22no—
484C2×D4—22no—
485C2×D4—22no—
486C2×D4—44no—
487C2×D4—48no—
488C2×D4—48no—
489C2×D4—44no—
490C2×D4—44no—
491C2×D4—42no—
492C2×D4—44no—
493C2×D4—42no—
494C2×D4—44no—
495C2×D4—84no—
496C2×D4—84no—
497C2×D4—84no—
498C2×D4—816no—
499C2×D4C22×D414yes—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—21no—
521C22×C4—22no—
522C22×C4—21no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—21no—
527C22×C4—21no—
528C22×C4—48no—
529C22×C4—44no—
530C22×C4—44no—
531C22×C4—44no—
532C22×C4—44no—
533C22×C4—44no—
534C22×C4—42no—
535C22×C4—42no—
536C22×C4—48no—
537C22×C4—48no—
538C22×C4—84no—
539C22×C4—84no—
540C22×C4—82no—
541C22×C4—84no—
542C22×C4—82no—
543C22×C4—82no—
544C22×C4—84no—
545C22×C4—816no—
546C22×C4C22×D412yes—
547C22×C4C22×D412yes—
548C22×C4C22×D414yes—
549C22×C4C22×D411yescharacteristic
550C22×C4C22×D412yes—
551C22×C4C2×#4112yes—
552C22×C4C2×#4112yes—
553C22×C4C2×#4112yes—
554C22×C4H(5,𝔽2)12yes—
555C22×C42−1+412yes—
556C22×C4C2511yescharacteristic
557M16—28no—
558M16—44no—
559C2×C8—28no—
560C2×C8—21no—
561C2×C8—22no—
562C2×C8—21no—
563C2×C8—22no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—22no—
572C2×C8—44no—
573C2×C8C22×D412yes—
574C2×C8C22×D412yes—
575C2×C8C2×#4114yes—
576C4⋊C4—28no—
577C4⋊C4—24no—
578C4⋊C4—22no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—22no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—22no—
585C4⋊C4—22no—
586C4⋊C4—22no—
587C4⋊C4—22no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—22no—
591C4⋊C4—22no—
592C4⋊C4—21no—
593C4⋊C4—21no—
594C4⋊C4—22no—
595C4⋊C4—48no—
596C4⋊C4—44no—
597C4⋊C4—42no—
598C4⋊C4—42no—
599C4⋊C4—84no—
600C4⋊C4—84no—
601C4⋊C4#12318yes—
602C4⋊C4C22×D414yes—
603C22⋊C4—28no—
604C22⋊C4—28no—
605C22⋊C4—48no—
606C22⋊C4—44no—
607C22⋊C4—44no—
608C22⋊C4—44no—
609C22⋊C4—44no—
610C22⋊C4—42no—
611C22⋊C4—42no—
612C22⋊C4—42no—
613C22⋊C4—42no—
614C22⋊C4—44no—
615C22⋊C4—44no—
616C22⋊C4—48no—
617C22⋊C4—82no—
618C22⋊C4—84no—
619C22⋊C4—84no—
620C22⋊C4#12318yes—
621C42—44no—
622C42—42no—
623C42—42no—
624C42—42no—
625C42—42no—
626C42—84no—
627C42C2×#4114yes—
628C42C2×#4114yes—
629C23—22no—
630C23—22no—
631C23—28no—
632C23—22no—
633C23—22no—
634C23—22no—
635C23—22no—
636C23—22no—
637C23—22no—
638C23—24no—
639C23—22no—
640C23—24no—
641C23—22no—
642C23—22no—
643C23—24no—
644C23—48no—
645C23—48no—
646C23—44no—
647C23—44no—
648C23—44no—
649C23—42no—
650C23—42no—
651C23—44no—
652C23—48no—
653C23—84no—
654C23—84no—
655C23—164no—
656C23—164no—
657C23C2×#12312yes—
658C23D4212yes—
659C23#54712yes—
660C23#57614yes—
661C23C23×D411yescharacteristic
662Q8—44no—
663D4—24no—
664D4—24no—
665D4—416no—
666D4—48no—
667D4—48no—
668D4—44no—
669D4—42no—
670D4—42no—
671D4—816no—
672D4—164no—
673D4—164no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—24no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—48no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—41no—
700C2×C4—41no—
701C2×C4—41no—
702C2×C4—41no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—44no—
711C2×C4—44no—
712C2×C4—84no—
713C2×C4—816no—
714C2×C4—84no—
715C2×C4—84no—
716C2×C4—168no—
717C2×C4—164no—
718C2×C4C2×#12318yes—
719C2×C4C2×#12312yes—
720C2×C4#53214yes—
721C2×C4#54214yes—
722C2×C4D4212yes—
723C2×C4#54712yes—
724C2×C4#54714yes—
725C2×C4#55314yes—
726C2×C4C23×D411yescharacteristic
727C2×C4C22×#4111yescharacteristic
728C2×C4C22×#4111yescharacteristic
729C2×C4C22×#4111yescharacteristic
730C2×C4C2×H(5,𝔽2)11yescharacteristic
731C2×C4C2×2−1+411yescharacteristic
732C8—22no—
733C8—22no—
734C8—24no—
735C8—42no—
736C8—42no—
737C22—24no—
738C22—24no—
739C22—22no—
740C22—22no—
741C22—24no—
742C22—24no—
743C22—24no—
744C22—416no—
745C22—42no—
746C22—42no—
747C22—42no—
748C22—42no—
749C22—44no—
750C22—44no—
751C22—42no—
752C22—44no—
753C22—42no—
754C22—44no—
755C22—42no—
756C22—44no—
757C22—84no—
758C22—84no—
759C22—168no—
760C22#242214yes—
761C22C22×#12311yescharacteristic
762C22C2×D4211yescharacteristic
763C22C2×#54711yescharacteristic
764C22C2×#57612yes—
765C22#358612yes—
766C4—28no—
767C4—42no—
768C4—42no—
769C4—44no—
770C4—82no—
771C4—82no—
772C4—82no—
773C4—82no—
774C4—81no—
775C4—81no—
776C4—81no—
777C4—81no—
778C4#242214yes—
779C4C2×#53211yescharacteristic
780C4C2×#54211yescharacteristic
781C4C2×#54711yescharacteristic
782C4C2×#55311yescharacteristic
783C2—24no—
784C2—44no—
785C2—82no—
786C2—84no—
787C2C2×#242211yescharacteristic
788C2#6052112yes—
789C2#6104911yescharacteristic
790C2#6106011yescharacteristic
791C2#6127012yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#35514C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×#525 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3096C2semidirect
2. C22×#480C2semidirect
4. #34200C2semidirect
5. #25027C2semidirect
6. #25022C2semidirect
7. #25019C2semidirect
8. #25010C2semidirect
9. #23639C2semidirect
10. #23638C2semidirect
11. #23483C2semidirect
12. #23480C2semidirect
13. #21191C2semidirect
14. #21173C2semidirect
15. #20847C2semidirect
16. #20844C2semidirect
17. #20803C2semidirect
18. #20650C2semidirect
19. #20416C2semidirect
27. C2×#481C22semidirect
28. C2×#482C22semidirect
29. C2×#482C22semidirect
33. C2×#480C22semidirect
58. #2352C22semidirect
59. D4×C4⋊C4C22semidirect
69. #2077C22semidirect
70. #2077C22semidirect
71. #2076C22semidirect
72. #2076C22semidirect
73. #2075C22semidirect
74. #2075C22semidirect
76. #2034C22semidirect
78. #2033C22semidirect
79. #1955C22semidirect
80. #1954C22semidirect
81. #1949C22semidirect
82. #1947C22semidirect
83. #1854C22semidirect
84. #1853C22semidirect
85. #1852C22semidirect
86. #1852C22semidirect
87. #1847C22semidirect
88. #1847C22semidirect
89. #1846C22semidirect
90. #1845C22semidirect
91. #1804C22semidirect
92. #1802C22semidirect
93. #1762C22semidirect
94. C4×#102C22semidirect
186. C2×#102D4semidirect

Maximal subgroups

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

subgroupindex
C2×#30962
C22×#4802
#355142
#342002
#250272
#250222
#250192
#250102
#236392
#236382
#234832
#234802
#211912
#211732
#208472
#208442
#208032
#206502
#204162