Finite Group Databasebeta

← #6441631

Subgroups — #6441631

Order 512.

2184 conjugacy classes of subgroups.

The subgroup lattice has 782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3095C211yesmaximal, characteristic
2C22×#470C211yesmaximal, characteristic
3#35311C211yesmaximal, characteristic
4#34203C211yesmaximal, characteristic
5#25229C214yesmaximal, complemented
6#25226C214yesmaximal, complemented
7#25220C214yesmaximal, complemented
8#25219C214yesmaximal, complemented
9#23661C211yesmaximal, characteristic, complemented
10#23633C211yesmaximal, characteristic, complemented
11#23615C211yesmaximal, characteristic, complemented
12#23542C211yesmaximal, characteristic, complemented
13#21174C211yesmaximal, characteristic, complemented
14#21064C211yesmaximal, characteristic, complemented
15#20935C211yesmaximal, characteristic, complemented
16#20911C211yesmaximal, characteristic
17#20835C211yesmaximal, characteristic
18#20651C211yesmaximal, characteristic, complemented
19#20347C211yesmaximal, characteristic
20C23×Q16C2211yescharacteristic
21C23×M16C2211yescharacteristic
22C22×C22⋊Q8C2211yescharacteristic
23C22×C22⋊Q8C2211yescharacteristic
24C2×#519C2211yescharacteristic
25C22×#117C2211yescharacteristic
26C22×#117C2211yescharacteristic
27#3095—28no—
28C2×#484C2212yes—
29C2×#485C2212yes—
30C2×#485C2212yes—
31C2×#483C2212yes—
32C2×#470—28no—
33C2×#470C2214yes—
34C2×#470C2214yes—
35C2×#428C2211yescharacteristic
36C2×#428C2211yescharacteristic
37C22×#106C2211yescharacteristic
38C2×#424C2211yescharacteristic
39C2×#424C2211yescharacteristic
40C2×#419C2211yescharacteristic
41C2×#419C2211yescharacteristic
42C2×#419C2211yescharacteristic
43C2×#419C2211yescharacteristic
44C22×#103C2211yescharacteristic
45C22×#103C2211yescharacteristic
46C2×#407C2211yescharacteristic
47#2855—22no—
48#2625—22no—
49#2503C2212yes—
50#2502C2212yes—
51#2499C2212yes—
52#2499C2212yes—
53#2484—22no—
54#2483—22no—
55#2362C2214yes—
56#2360C2214yes—
57#2344—22no—
58#2342—22no—
59#2323—22no—
60#2317C2211yescharacteristic
61#2317C2211yescharacteristic
62#2316C2211yescharacteristic
63#2310C2211yescharacteristic
64#2310C2211yescharacteristic
65#2310C2211yescharacteristic
66C4×C22⋊Q8—22no—
67#2280C2211yescharacteristic
68#2274C2211yescharacteristic
69#2085C2214yescomplemented
70#2084C2214yescomplemented
71#2074C2214yescomplemented
72#2072C2214yescomplemented
73#2068C2214yescomplemented
74#2066C2214yescomplemented
75#2056C2214yescomplemented
76#2056C2214yescomplemented
77#1949C2214yescomplemented
78#1948C2214yescomplemented
79#1928C2214yescomplemented
80#1927C2214yescomplemented
81#1878C2214yescomplemented
82#1878C2214yescomplemented
83#1873C2214yes—
84#1872C2214yes—
85#1851C2214yes—
86#1851C2214yes—
87#1805C2214yescomplemented
88#1803C2214yescomplemented
89#1736C2211yescharacteristic
90#1736C2212yes—
91#1736C2212yes—
92#1736C2212yes—
93#1736C2212yes—
94#1736C2211yescharacteristic
95#1735C2211yescharacteristic
96#1735C2211yescharacteristic
97#1735C2211yescharacteristic
98#1735C2211yescharacteristic
99#1729C2211yescharacteristic
100#1729C2211yescharacteristic
101C23×Q8C2311yescharacteristic
102C23×Q8C2311yescharacteristic
103C24×C4C2311yescharacteristic
104C22×Q16—24no—
105C22×Q16—24no—
106C22×Q16—42no—
107C22×Q16C2314yes—
108C22×M16—24no—
109C22×M16—24no—
110C22×M16—42no—
111C22×M16C2311yescharacteristic
112C22×M16C2311yescharacteristic
113C22×M16C2312yes—
114C22×M16C2312yes—
115C23×C8C2311yescharacteristic
116C23×C8C2311yescharacteristic
117C2×C22⋊Q8—21no—
118C2×C22⋊Q8—21no—
119C2×C22⋊Q8—24no—
120C2×C22⋊Q8—21no—
121C2×C22⋊Q8—21no—
122C2×C22⋊Q8—24no—
123C2×C22⋊Q8—24no—
124C2×C22⋊Q8D418yes—
125C2×C22⋊Q8C2312yes—
126C2×C22⋊Q8C2312yes—
127C2×C22⋊Q8C2312yes—
128C2×C22⋊Q8C2312yes—
129#519—24no—
130#519—42no—
131C2×C4×Q8—22no—
132C2×C4×Q8C2314yes—
133C2×#117—21no—
134C2×#117—21no—
135C2×#117—21no—
136C2×#117—21no—
137C2×#117—22no—
138C2×#117—24no—
139C2×#117—24no—
140C2×#117—24no—
141C2×#117—42no—
142C2×#117C2311yescharacteristic
143C2×#117C2311yescharacteristic
144C2×#117C2311yescharacteristic
145C2×#117C2311yescharacteristic
146C2×#117C2311yescharacteristic
147C2×#117C2312yes—
148C2×#117C2311yescharacteristic
149C2×#117C2311yescharacteristic
150C2×#117C2311yescharacteristic
151C22×C4⋊C4—21no—
152C22×C4⋊C4—21no—
153C22×C4⋊C4C2311yescharacteristic
154C22×C4⋊C4C2311yescharacteristic
155C22×C4⋊C4C2311yescharacteristic
156C22×C4⋊C4C2312yes—
157C22×C4⋊C4C2311yescharacteristic
158C22×C22⋊C4—21no—
159C22×C22⋊C4—21no—
160C22×C22⋊C4—21no—
161C22×C22⋊C4—21no—
162C22×C42—21no—
163C22×C42—21no—
164#485—28no—
165#485—28no—
166#484—28no—
167#483—28no—
168#470—216no—
169#470—216no—
170#428—24no—
171#428—24no—
172C2×#107C2312yes—
173C2×#107C2312yes—
174C2×#106—24no—
175C2×#106C2312yes—
176C2×#106C2312yes—
177C2×#106C2314yes—
178#424—24no—
179#424—42no—
180C2×C4⋊C8C2314yes—
181C2×C4⋊C8C2314yes—
182#419—24no—
183#419—24no—
184#419—24no—
185#419—42no—
186C2×#103—24no—
187C2×#103—24no—
188C2×#103C2312yes—
189C2×#103C2312yes—
190C2×#103C2314yes—
191C2×#103C2312yes—
192C2×#103C2312yes—
193C2×#103C2314yes—
194C2×#103C2314yes—
195C2×#103C2314yes—
196#407—24no—
197C2×C22⋊C8C2312yes—
198C2×C22⋊C8C2312yes—
199#400—24no—
200#398—24no—
201#397—24no—
202#397—24no—
203#391—22no—
204#391—22no—
205#391—22no—
206#391C2314yes—
207#391C2312yes—
208#391C2312yes—
209#391C2312yes—
210#391C2312yes—
211#389—22no—
212#389—22no—
213#389—22no—
214#389—24no—
215#389C2314yes—
216#388—24no—
217#388—24no—
218#387—24no—
219#387—24no—
220#387—24no—
221#387—24no—
222#385—22no—
223#385—22no—
224#385—24no—
225#385—24no—
226#384C2312yes—
227#384C2312yes—
228#382C2312yes—
229#382C2312yes—
230#381—22no—
231#381—22no—
232#381—22no—
233#381—24no—
234#381D412yes—
235#380—22no—
236#380D412yes—
237#380D412yes—
238#379D412yes—
239C4×C4⋊C4—22no—
240C4×C4⋊C4—24no—
241C4×C4⋊C4C2314yes—
242C4×C22⋊C4—22no—
243C4×C22⋊C4—24no—
244C4×C22⋊C4C2312yes—
245C4×C22⋊C4C2312yes—
246#340C2312yes—
247#340C2312yes—
248#340C2312yes—
249#340C2314yes—
250#340C2312yes—
251#340C2312yes—
252#340C2312yes—
253#340C2314yes—
254#340C2312yes—
255#340C2312yes—
256#336C2314yes—
257#336C2314yes—
258C25C2×D411yescharacteristic
259C22×Q8—21no—
260C22×Q8—21no—
261C22×Q8—22no—
262C22×Q8—22no—
263C22×Q8—22no—
264C22×Q8—22no—
265C22×Q8—22no—
266C22×Q8—22no—
267C22×Q8—22no—
268C22×Q8—22no—
269C22×Q8—22no—
270C22×Q8—22no—
271C22×Q8—22no—
272C22×Q8C2×D414yes—
273C22×Q8C2412yes—
274C22×Q8C2412yes—
275C23×C4—22no—
276C23×C4—22no—
277C23×C4—22no—
278C23×C4—22no—
279C23×C4—21no—
280C23×C4—21no—
281C23×C4—21no—
282C23×C4—21no—
283C23×C4—22no—
284C23×C4—21no—
285C23×C4—21no—
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D411yescharacteristic
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D414yes—
290C23×C4#4114yes—
291C23×C4C2411yescharacteristic
292C23×C4C2411yescharacteristic
293C23×C4C2411yescharacteristic
294C2×Q16—28no—
295C2×Q16—28no—
296C2×Q16—44no—
297C2×Q16—416no—
298C2×M16—24no—
299C2×M16—24no—
300C2×M16—22no—
301C2×M16—22no—
302C2×M16—22no—
303C2×M16—22no—
304C2×M16—22no—
305C2×M16—22no—
306C2×M16—24no—
307C2×M16—24no—
308C2×M16—42no—
309C2×M16—42no—
310C2×M16—416no—
311C22×C8—22no—
312C22×C8—22no—
313C22×C8—22no—
314C22×C8—22no—
315C22×C8—22no—
316C22×C8#4114yes—
317C22×C8C2412yes—
318C22×C8C2412yes—
319C22×C8C2412yes—
320C22×C8C2412yes—
321C22⋊Q8—28no—
322C22⋊Q8—28no—
323C22⋊Q8—24no—
324C22⋊Q8—24no—
325C22⋊Q8—24no—
326C22⋊Q8—24no—
327C22⋊Q8—24no—
328C22⋊Q8—24no—
329C22⋊Q8—44no—
330C22⋊Q8—44no—
331C22⋊Q8C2×D418yes—
332C22⋊Q8C2×D418yes—
333C4×Q8—28no—
334C4×Q8—44no—
335C4×Q8—48no—
336#117—22no—
337#117—22no—
338#117—22no—
339#117—22no—
340#117—22no—
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—22no—
351#117—24no—
352#117—44no—
353#117—48no—
354#117—44no—
355#117—42no—
356#117—44no—
357#117—44no—
358#117#4114yes—
359C2×C4⋊C4—28no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—21no—
363C2×C4⋊C4—22no—
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—22no—
372C2×C4⋊C4—22no—
373C2×C4⋊C4—22no—
374C2×C4⋊C4—21no—
375C2×C4⋊C4—21no—
376C2×C4⋊C4—21no—
377C2×C4⋊C4—24no—
378C2×C4⋊C4—24no—
379C2×C4⋊C4—24no—
380C2×C4⋊C4—24no—
381C2×C4⋊C4—42no—
382C2×C4⋊C4—44no—
383C2×C4⋊C4C2×D412yes—
384C2×C4⋊C4C2×D412yes—
385C2×C4⋊C4C2×D414yes—
386C2×C4⋊C4C2412yes—
387C2×C4⋊C4C2411yescharacteristic
388C2×C4⋊C4C2411yescharacteristic
389C2×C4⋊C4C2411yescharacteristic
390C2×C4⋊C4C2411yescharacteristic
391C2×C4⋊C4C2412yes—
392C2×C4⋊C4C2412yes—
393C2×C4⋊C4C2412yes—
394C2×C22⋊C4—28no—
395C2×C22⋊C4—21no—
396C2×C22⋊C4—22no—
397C2×C22⋊C4—22no—
398C2×C22⋊C4—21no—
399C2×C22⋊C4—21no—
400C2×C22⋊C4—21no—
401C2×C22⋊C4—22no—
402C2×C22⋊C4—21no—
403C2×C22⋊C4—21no—
404C2×C22⋊C4—22no—
405C2×C22⋊C4—22no—
406C2×C22⋊C4—44no—
407C2×C22⋊C4—44no—
408C2×C22⋊C4—44no—
409C2×C22⋊C4C2×D412yes—
410C2×C22⋊C4C2×D412yes—
411C2×C22⋊C4C2×D414yes—
412C2×C22⋊C4C2×D414yes—
413C2×C42—21no—
414C2×C42—22no—
415C2×C42—21no—
416C2×C42—21no—
417C2×C42—21no—
418C2×C42—21no—
419C2×C42—21no—
420C2×C42—24no—
421C2×C42—24no—
422C2×C42—44no—
423C2×C42—44no—
424C2×C42C2412yes—
425C2×C42C2412yes—
426#107—24no—
427#107—24no—
428#106—28no—
429#106—24no—
430#106—24no—
431C4⋊C8—28no—
432C4⋊C8—44no—
433#103—28no—
434#103—24no—
435#103—24no—
436#103—24no—
437#103—24no—
438#103—28no—
439#103—28no—
440#103—44no—
441C22⋊C8—24no—
442C22⋊C8—24no—
443#95—24no—
444#95—24no—
445#95—24no—
446#95—24no—
447#95—24no—
448#95—24no—
449#95—24no—
450#95—24no—
451#95—24no—
452#95—24no—
453#95C2×D414yes—
454#95C2×D414yes—
455C24—22no—
456C24—22no—
457C24—42no—
458C24—42no—
459C24#12114yes—
460C24C22×D411yescharacteristic
461C24C22×D411yescharacteristic
462C24C22×D411yescharacteristic
463C2×Q8—24no—
464C2×Q8—22no—
465C2×Q8—28no—
466C2×Q8—28no—
467C2×Q8—22no—
468C2×Q8—22no—
469C2×Q8—22no—
470C2×Q8—22no—
471C2×Q8—22no—
472C2×Q8—22no—
473C2×Q8—22no—
474C2×Q8—22no—
475C2×Q8—22no—
476C2×Q8—22no—
477C2×Q8—42no—
478C2×Q8—44no—
479C2×Q8—44no—
480C2×Q8—42no—
481C2×Q8—42no—
482C2×Q8—42no—
483C2×Q8—42no—
484C2×Q8—44no—
485C2×Q8—44no—
486C2×Q8—44no—
487C2×Q8—44no—
488C2×Q8C22×D414yes—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—28no—
492C22×C4—28no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—28no—
496C22×C4—28no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—24no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—24no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—22no—
519C22×C4—44no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—82no—
531C22×C4—82no—
532C22×C4—82no—
533C22×C4—82no—
534C22×C4#12114yes—
535C22×C4#12114yes—
536C22×C4#12114yes—
537C22×C4C22×D414yes—
538C22×C4C22×D414yes—
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D411yescharacteristic
541C22×C4C22×D412yes—
542C22×C4C22×D412yes—
543C22×C4C22×D411yescharacteristic
544C22×C4C22×D412yes—
545C22×C4C2×#4112yes—
546C22×C4C2×#4112yes—
547C22×C4C2×#4112yes—
548C22×C4C2×#4112yes—
549C22×C4C2×#4112yes—
550C22×C4H(5,𝔽2)12yes—
551C22×C42−1+412yes—
552C22×C4C2511yescharacteristic
553Q16—416no—
554M16—48no—
555M16—48no—
556M16—44no—
557M16—44no—
558C2×C8—28no—
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—22no—
569C2×C8—22no—
570C2×C8—44no—
571C2×C8C2×#4114yes—
572C4⋊C4—28no—
573C4⋊C4—28no—
574C4⋊C4—24no—
575C4⋊C4—24no—
576C4⋊C4—24no—
577C4⋊C4—22no—
578C4⋊C4—22no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4—22no—
582C4⋊C4—21no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—22no—
589C4⋊C4—22no—
590C4⋊C4—22no—
591C4⋊C4—44no—
592C4⋊C4—48no—
593C4⋊C4—42no—
594C4⋊C4—42no—
595C4⋊C4—42no—
596C4⋊C4—44no—
597C4⋊C4—44no—
598C4⋊C4—84no—
599C4⋊C4—84no—
600C4⋊C4—84no—
601C4⋊C4C22×D414yes—
602C4⋊C4C2×#4114yes—
603C22⋊C4—28no—
604C22⋊C4—28no—
605C22⋊C4—24no—
606C22⋊C4—24no—
607C22⋊C4—24no—
608C22⋊C4—44no—
609C22⋊C4—44no—
610C22⋊C4—44no—
611C22⋊C4—42no—
612C22⋊C4—42no—
613C22⋊C4—42no—
614C22⋊C4—42no—
615C22⋊C4—44no—
616C22⋊C4—44no—
617C22⋊C4—42no—
618C42—24no—
619C42—22no—
620C42—22no—
621C42—22no—
622C42—22no—
623C42—44no—
624C42—48no—
625C42—42no—
626C42—42no—
627C42—42no—
628C42—42no—
629C42—42no—
630C42—84no—
631C23—22no—
632C23—22no—
633C23—22no—
634C23—22no—
635C23—22no—
636C23—22no—
637C23—21no—
638C23—21no—
639C23—21no—
640C23—21no—
641C23—28no—
642C23—44no—
643C23—44no—
644C23—84no—
645C23—84no—
646C23C2×#12112yes—
647C23C2×#12112yes—
648C23C2×#12112yes—
649C23#54612yes—
650C23#54712yes—
651C23C23×D411yescharacteristic
652Q8—24no—
653Q8—24no—
654Q8—42no—
655Q8—48no—
656Q8—42no—
657Q8—42no—
658Q8—42no—
659Q8—42no—
660Q8—42no—
661Q8—84no—
662C2×C4—28no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—28no—
670C2×C4—28no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—24no—
678C2×C4—24no—
679C2×C4—24no—
680C2×C4—24no—
681C2×C4—24no—
682C2×C4—24no—
683C2×C4—24no—
684C2×C4—24no—
685C2×C4—24no—
686C2×C4—42no—
687C2×C4—44no—
688C2×C4—42no—
689C2×C4—48no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—44no—
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—84no—
709C2×C4—88no—
710C2×C4—84no—
711C2×C4—84no—
712C2×C4—84no—
713C2×C4—84no—
714C2×C4C2×#12112yes—
715C2×C4C2×#12112yes—
716C2×C4C2×#12112yes—
717C2×C4#52914yes—
718C2×C4#53914yes—
719C2×C4#54612yes—
720C2×C4#54614yes—
721C2×C4#54712yes—
722C2×C4#54714yes—
723C2×C4C23×D411yescharacteristic
724C2×C4C22×#4111yescharacteristic
725C2×C4C22×#4111yescharacteristic
726C2×C4C22×#4111yescharacteristic
727C2×C4C2×H(5,𝔽2)11yescharacteristic
728C2×C4C2×2−1+411yescharacteristic
729C8—24no—
730C8—42no—
731C8—42no—
732C8—42no—
733C22—22no—
734C22—22no—
735C22—24no—
736C22—24no—
737C22—22no—
738C22—22no—
739C22—22no—
740C22—22no—
741C22—22no—
742C22—22no—
743C22—42no—
744C22—42no—
745C22—42no—
746C22—42no—
747C22—88no—
748C22#242514yes—
749C22C22×#12111yescharacteristic
750C22C2×#54611yescharacteristic
751C22C2×#54711yescharacteristic
752C22#358612yes—
753C22#358612yes—
754C4—22no—
755C4—22no—
756C4—44no—
757C4—44no—
758C4—44no—
759C4—44no—
760C4—44no—
761C4—81no—
762C4—81no—
763C4—82no—
764C4—81no—
765C4—81no—
766C4—82no—
767C4—82no—
768C4#242514yes—
769C4C2×#52911yescharacteristic
770C4C2×#53911yescharacteristic
771C4C2×#54611yescharacteristic
772C4C2×#54711yescharacteristic
773C2—24no—
774C2—42no—
775C2—42no—
776C2C2×#242511yescharacteristic
777C2#6042411yescharacteristic
778C2#6042711yescharacteristic
779C2#6118112yes—
780C2#6126912yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC25C2×D4
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
5. #25229C2semidirect
6. #25226C2semidirect
7. #25220C2semidirect
8. #25219C2semidirect
9. #23661C2semidirect
10. #23633C2semidirect
11. #23615C2semidirect
12. #23542C2semidirect
13. #21174C2semidirect
14. #21064C2semidirect
15. #20935C2semidirect
18. #20651C2semidirect
69. #2085C22semidirect
70. #2084C22semidirect
71. #2074C22semidirect
72. #2072C22semidirect
73. #2068C22semidirect
74. #2066C22semidirect
75. #2056C22semidirect
76. #2056C22semidirect
77. #1949C22semidirect
78. #1948C22semidirect
79. #1928C22semidirect
80. #1927C22semidirect
81. #1878C22semidirect
82. #1878C22semidirect
87. #1805C22semidirect
88. #1803C22semidirect

Maximal subgroups

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

subgroupindex
C2×#30952
C22×#4702
#353112
#342032
#252292
#252262
#252202
#252192
#236612
#236332
#236152
#235422
#211742
#210642
#209352
#209112
#208352
#206512
#203472