Finite Group Databasebeta

← #7503565

Subgroups — #7503565

Order 512.

2098 conjugacy classes of subgroups.

The subgroup lattice has 789 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3097C211yesmaximal, characteristic, complemented
2C2×#3081C211yesmaximal, characteristic, complemented
3#35617C211yesmaximal, characteristic
4#35532C211yesmaximal, characteristic, complemented
5#31138C214yesmaximal, complemented
6#31136C214yesmaximal, complemented
7#31135C214yesmaximal, complemented
8#31133C214yesmaximal, complemented
9#23658C211yesmaximal, characteristic, complemented
10#23613C211yesmaximal, characteristic, complemented
11#23506C211yesmaximal, characteristic, complemented
12#23486C211yesmaximal, characteristic
13#23484C211yesmaximal, characteristic, complemented
14#23457C211yesmaximal, characteristic, complemented
15C2×#1959C211yesmaximal, characteristic, complemented
16#21154C211yesmaximal, characteristic, complemented
17#21047C211yesmaximal, characteristic, complemented
18#20914C211yesmaximal, characteristic
19#20876C211yesmaximal, characteristic, complemented
20C2×#544C2211yescharacteristic
21C2×#536C2211yescharacteristic
22C2×#535C2211yescharacteristic
23C22×#124C2211yescharacteristic
24C2×#520C2211yescharacteristic
25C2×#518C2211yescharacteristic
26#3097—28no—
27C2×#484C2212yescomplemented
28C2×#485C2212yescomplemented
29C2×#485C2212yescomplemented
30C2×#483C2212yescomplemented
31#3081—28no—
32C2×#478C2212yes—
33C2×#478C2212yes—
34C2×#476C2212yes—
35C2×#474C2212yes—
36C2×#428C2211yescharacteristic
37C2×#428C2211yescharacteristic
38C2×#427C2211yescharacteristic
39C2×#427C2211yescharacteristic
40C2×#424C2211yescharacteristic
41C2×#419C2211yescharacteristic
42C2×#419C2211yescharacteristic
43C2×#418C2211yescharacteristic
44C2×#418C2211yescharacteristic
45C22×#103C2211yescharacteristic
46C22×#103C2211yescharacteristic
47C22×#102C2211yescharacteristic
48C22×#102C2211yescharacteristic
49C2×#408C2211yescharacteristic
50C2×#408C2211yescharacteristic
51C22×#97C2211yescharacteristic
52#2567—21no—
53#2566—21no—
54#2565—21no—
55#2547—21no—
56#2547—21no—
57#2544—21no—
58#2544—21no—
59#2542—21no—
60#2449—24no—
61#2441C2214yescomplemented
62#2440C2214yescomplemented
63#2427C2214yes—
64#2427C2214yes—
65#2412—24no—
66#2317C2211yescharacteristic
67#2311C2211yescharacteristic
68#2310C2211yescharacteristic
69#2297C2211yescharacteristic
70#2296C2211yescharacteristic
71#2296C2211yescharacteristic
72C2×#384C2211yescharacteristic
73#2084C2214yescomplemented
74#2083C2214yescomplemented
75#2068C2214yescomplemented
76#2066C2214yescomplemented
77#2042C2214yes—
78#2042C2214yes—
79#2036C2214yescomplemented
80#2035C2214yescomplemented
81#2034C2214yes—
82#2033C2214yes—
83#2026C2214yescomplemented
84#2024C2214yescomplemented
85#1959C2214yes—
86#1959C2214yes—
87#1944C2212yescomplemented
88#1944C2212yescomplemented
89#1943C2212yescomplemented
90#1943C2212yescomplemented
91#1924C2214yescomplemented
92#1924C2214yescomplemented
93#1875C2214yes—
94#1874C2214yes—
95#1864C2214yes—
96#1862C2214yes—
97#1736C2211yescharacteristic
98#1736C2211yescharacteristic
99#1735C2211yescharacteristic
100#1735C2211yescharacteristic
101#1729C2211yescharacteristic
102#1728C2211yescharacteristic
103C22×#41C2311yescharacteristic
104C23×Q8C2311yescharacteristic
105C23×D4C2311yescharacteristic
106C22×M16C2311yescharacteristic
107C22×M16C2311yescharacteristic
108C23×C8C2311yescharacteristic
109C23×C8C2311yescharacteristic
110#544—24no—
111#544—42no—
112#536—24no—
113#536—42no—
114#535—24no—
115#535—42no—
116C2×C4⋊Q8—21no—
117C2×C4⋊Q8—21no—
118C2×C4⋊Q8C2312yes—
119C2×#127—21no—
120C2×#125—21no—
121C2×#125C2312yes—
122C2×#124—21no—
123C2×#124—21no—
124C2×#124—24no—
125C2×#124—21no—
126C2×#124—21no—
127C2×#124—42no—
128C2×#124C2314yes—
129C2×#123—22no—
130C2×C22⋊Q8—22no—
131C2×C22⋊Q8—24no—
132C2×C22⋊Q8C2312yes—
133C2×C22⋊Q8C2312yes—
134C2×#121C2314yes—
135C2×#120—22no—
136#520—24no—
137#520—42no—
138#518—24no—
139#518—42no—
140C2×C4×Q8—21no—
141C2×C4×D4—21no—
142C2×C4×D4—22no—
143C2×C4×D4—21no—
144C2×C4×D4—21no—
145C2×C4×D4C2312yes—
146C2×C4×D4C2312yes—
147C2×#117C2311yescharacteristic
148C2×#117C2311yescharacteristic
149C2×#117C2312yes—
150C2×#117C2311yescharacteristic
151C2×#117C2311yescharacteristic
152C2×#117C2311yescharacteristic
153C22×C4⋊C4—22no—
154C22×C4⋊C4C2311yescharacteristic
155C22×C4⋊C4C2311yescharacteristic
156C22×C4⋊C4C2312yes—
157C22×C22⋊C4—22no—
158C22×C22⋊C4—22no—
159C22×C42C2311yescharacteristic
160#485—28no—
161#485—28no—
162#484—28no—
163#483—28no—
164#478—28no—
165#478—28no—
166#476—28no—
167#474—28no—
168#428—24no—
169#428—24no—
170#427—42no—
171#427D418yescomplemented
172C2×#107C2312yes—
173C2×#107C2312yes—
174C2×#107C2312yes—
175C2×#107C2311yescharacteristic
176C2×#107C2311yescharacteristic
177C2×#106C2312yes—
178C2×#106C2312yes—
179C2×#106C2312yes—
180C2×#106C2311yescharacteristic
181C2×#106C2311yescharacteristic
182#424—24no—
183C2×C4⋊C8C2312yes—
184C2×C4⋊C8C2312yes—
185#419—24no—
186#419—42no—
187#418—24no—
188#418—24no—
189C2×#103—24no—
190C2×#103—42no—
191C2×#103C2312yes—
192C2×#103C2312yes—
193C2×#103C2312yes—
194C2×#103C2312yes—
195C2×#103C2314yes—
196C2×#103C2314yes—
197C2×#102—24no—
198C2×#102—42no—
199C2×#102C2312yes—
200C2×#102C2312yes—
201C2×#102C2312yes—
202C2×#102C2314yes—
203C2×#102C2312yes—
204C2×#102C2314yes—
205#408—24no—
206#408—42no—
207C2×C22⋊C8C2312yes—
208C2×C22⋊C8C2312yes—
209C2×C22⋊C8C2314yes—
210C2×#97—42no—
211C2×#97C2312yes—
212C2×#97C2312yes—
213#399—24no—
214#398—24no—
215#397—24no—
216#397—24no—
217#396—24no—
218#395—24no—
219#394—24no—
220#394—24no—
221#391—21no—
222#391—21no—
223#391—21no—
224#391D411yescharacteristic
225#391D411yescharacteristic
226#391C2314yes—
227#390—21no—
228#390D411yescharacteristic
229#390D411yescharacteristic
230#389—24no—
231#389C2314yes—
232#389C2312yes—
233#389C2312yes—
234#389C2312yes—
235#389C2312yes—
236#387—24no—
237#386—22no—
238#386—24no—
239#386—24no—
240#386D414yes—
241#385—22no—
242#385—22no—
243#385—24no—
244#385—22no—
245#384—21no—
246#384—21no—
247#384—21no—
248#384C2314yes—
249#382—21no—
250#381—22no—
251#380—24no—
252#380—24no—
253#380C2314yes—
254C4×C4⋊C4—21no—
255C4×C4⋊C4—21no—
256C4×C4⋊C4—21no—
257C4×C4⋊C4—21no—
258C4×C22⋊C4C2314yes—
259#340C2314yes—
260#340C2314yes—
261#340C2312yes—
262#340C2312yes—
263#340C2312yes—
264#340C2312yes—
265#336C2314yes—
266#336C2314yes—
267C25—21no—
268C2×#41—22no—
269C2×#41—22no—
270C2×#41—22no—
271C2×#41—22no—
272C2×#41—22no—
273C2×#41—22no—
274C22×Q8—21no—
275C22×Q8—22no—
276C22×Q8—22no—
277C22×Q8—22no—
278C22×Q8—22no—
279C22×Q8—22no—
280C22×Q8—22no—
281C22×Q8—22no—
282C22×Q8C2×D411yescharacteristic
283C22×Q8C2412yes—
284C22×D4—24no—
285C22×D4—22no—
286C22×D4—21no—
287C22×D4—22no—
288C22×D4—22no—
289C22×D4—22no—
290C22×D4—22no—
291C22×D4C2×D412yes—
292C22×D4C2×D411yescharacteristic
293C22×D4#4114yes—
294C22×D4C2412yes—
295C23×C4—21no—
296C23×C4—21no—
297C23×C4—21no—
298C23×C4—22no—
299C23×C4—22no—
300C23×C4—22no—
301C23×C4C2×D412yes—
302C23×C4C2412yes—
303C23×C4C2411yescharacteristic
304C2×M16—22no—
305C2×M16—22no—
306C2×M16—22no—
307C2×M16—22no—
308C2×M16—22no—
309C2×M16—22no—
310C22×C8—22no—
311C22×C8—22no—
312C22×C8—22no—
313C22×C8—22no—
314C22×C8—22no—
315C22×C8C2×D414yes—
316C22×C8C2412yes—
317C22×C8C2412yes—
318C22×C8C2412yes—
319C22×C8C2411yescharacteristic
320C22×C8C2411yescharacteristic
321C4⋊Q8—24no—
322C4⋊Q8—42no—
323C4⋊Q8—44no—
324C4⋊Q8—44no—
325#127—44no—
326#125—24no—
327#125—42no—
328#125—44no—
329#124—28no—
330#124—44no—
331#124—44no—
332#124—44no—
333#124—44no—
334#124—44no—
335#123—48no—
336C22⋊Q8—24no—
337C22⋊Q8—24no—
338C22⋊Q8—48no—
339C22⋊Q8—42no—
340C22⋊Q8—42no—
341C22⋊Q8—88no—
342#121—28no—
343#121—44no—
344#120—48no—
345C4×Q8—44no—
346C4×D4—24no—
347C4×D4—24no—
348C4×D4—42no—
349C4×D4—42no—
350C4×D4—44no—
351C4×D4—44no—
352C4×D4—44no—
353C4×D4—48no—
354#117—22no—
355#117—22no—
356#117—22no—
357#117—22no—
358#117—22no—
359#117—22no—
360#117—22no—
361#117—22no—
362#117—24no—
363#117—42no—
364#117C2×D414yes—
365#117C2×D414yes—
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—21no—
373C2×C4⋊C4—22no—
374C2×C4⋊C4—21no—
375C2×C4⋊C4—22no—
376C2×C4⋊C4—22no—
377C2×C4⋊C4—22no—
378C2×C4⋊C4—22no—
379C2×C4⋊C4—22no—
380C2×C4⋊C4—22no—
381C2×C4⋊C4—22no—
382C2×C4⋊C4—24no—
383C2×C4⋊C4—24no—
384C2×C4⋊C4—22no—
385C2×C4⋊C4—22no—
386C2×C4⋊C4—42no—
387C2×C4⋊C4—84no—
388C2×C4⋊C4C2×D411yescharacteristic
389C2×C4⋊C4C2×D411yescharacteristic
390C2×C4⋊C4C2412yes—
391C2×C4⋊C4C2412yes—
392C2×C4⋊C4C2412yes—
393C2×C4⋊C4C2412yes—
394C2×C4⋊C4C2411yescharacteristic
395C2×C4⋊C4C2411yescharacteristic
396C2×C4⋊C4C2411yescharacteristic
397C2×C4⋊C4C2411yescharacteristic
398C2×C22⋊C4—21no—
399C2×C22⋊C4—21no—
400C2×C22⋊C4—22no—
401C2×C22⋊C4—21no—
402C2×C22⋊C4—21no—
403C2×C22⋊C4—22no—
404C2×C22⋊C4—22no—
405C2×C22⋊C4—22no—
406C2×C22⋊C4—22no—
407C2×C22⋊C4—24no—
408C2×C22⋊C4—24no—
409C2×C22⋊C4—24no—
410C2×C22⋊C4—24no—
411C2×C22⋊C4—48no—
412C2×C22⋊C4—48no—
413C2×C22⋊C4C2×D412yes—
414C2×C22⋊C4C2×D414yes—
415C2×C22⋊C4C2×D414yes—
416C2×C42—21no—
417C2×C42—21no—
418C2×C42—22no—
419C2×C42—22no—
420C2×C42—22no—
421C2×C42—21no—
422C2×C42—21no—
423C2×C42C2×D411yescharacteristic
424C2×C42C2×D411yescharacteristic
425C2×C42C2412yes—
426C2×C42C2412yes—
427#107—24no—
428#107—24no—
429#107—42no—
430#107C2×D414yes—
431#107C2×D414yes—
432#106—24no—
433#106—24no—
434#106—42no—
435#106C2×D414yes—
436#106C2×D414yes—
437C4⋊C8—24no—
438C4⋊C8—24no—
439#103—24no—
440#103—24no—
441#103—24no—
442#103—24no—
443#103—44no—
444#103—44no—
445#102—28no—
446#102—24no—
447#102—24no—
448#102—24no—
449#102—24no—
450#102—44no—
451C22⋊C8—24no—
452C22⋊C8—24no—
453C22⋊C8—44no—
454#97—42no—
455#97—42no—
456#95—22no—
457#95—22no—
458#95—22no—
459#95—22no—
460#95—24no—
461#95—24no—
462#95—24no—
463#95—24no—
464#95C2×D414yes—
465#95C2×D414yes—
466C24—22no—
467C24—24no—
468C24—42no—
469C24—42no—
470C24—82no—
471C24—82no—
472C24C22×D412yes—
473C24C22×D411yescharacteristic
474#41—44no—
475#41—44no—
476#41—44no—
477#41—44no—
478C2×Q8—22no—
479C2×Q8—22no—
480C2×Q8—22no—
481C2×Q8—22no—
482C2×Q8—22no—
483C2×Q8—22no—
484C2×Q8—22no—
485C2×Q8—22no—
486C2×Q8—22no—
487C2×Q8—44no—
488C2×Q8—42no—
489C2×Q8—42no—
490C2×Q8—42no—
491C2×Q8—44no—
492C2×Q8—44no—
493C2×Q8—44no—
494C2×Q8—44no—
495C2×Q8—84no—
496C2×D4—24no—
497C2×D4—24no—
498C2×D4—24no—
499C2×D4—22no—
500C2×D4—28no—
501C2×D4—22no—
502C2×D4—24no—
503C2×D4—22no—
504C2×D4—28no—
505C2×D4—22no—
506C2×D4—22no—
507C2×D4—22no—
508C2×D4—22no—
509C2×D4—22no—
510C2×D4—48no—
511C2×D4—42no—
512C2×D4—44no—
513C2×D4—42no—
514C2×D4—44no—
515C2×D4—84no—
516C2×D4—84no—
517C2×D4C2×#4114yes—
518C22×C4—24no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—22no—
529C22×C4—22no—
530C22×C4—22no—
531C22×C4—22no—
532C22×C4—22no—
533C22×C4—22no—
534C22×C4—42no—
535C22×C4—42no—
536C22×C4—44no—
537C22×C4—44no—
538C22×C4—44no—
539C22×C4—42no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4—42no—
543C22×C4—42no—
544C22×C4—84no—
545C22×C4—84no—
546C22×C4—82no—
547C22×C4—82no—
548C22×C4—84no—
549C22×C4C22×D412yes—
550C22×C4C22×D412yes—
551C22×C4C22×D412yes—
552C22×C4C22×D412yes—
553C22×C4C22×D412yes—
554C22×C4C22×D411yescharacteristic
555C22×C4C22×D412yes—
556C22×C4C2×#4112yes—
557C22×C4H(5,𝔽2)12yes—
558C22×C4H(5,𝔽2)12yes—
559C22×C42−1+412yes—
560C22×C42−1+412yes—
561C22×C4C2511yescharacteristic
562M16—44no—
563M16—44no—
564C2×C8—28no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8—21no—
569C2×C8—22no—
570C2×C8—22no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8—22no—
574C2×C8—22no—
575C2×C8—22no—
576C2×C8—22no—
577C2×C8—22no—
578C2×C8—44no—
579C2×C8C22×D412yes—
580C2×C8C22×D412yes—
581C4⋊C4—22no—
582C4⋊C4—22no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—22no—
588C4⋊C4—22no—
589C4⋊C4—22no—
590C4⋊C4—22no—
591C4⋊C4—22no—
592C4⋊C4—22no—
593C4⋊C4—22no—
594C4⋊C4—22no—
595C4⋊C4—44no—
596C4⋊C4—44no—
597C4⋊C4—44no—
598C4⋊C4—44no—
599C4⋊C4—44no—
600C4⋊C4—44no—
601C4⋊C4—44no—
602C4⋊C4—48no—
603C4⋊C4—44no—
604C4⋊C4—42no—
605C4⋊C4—42no—
606C4⋊C4—82no—
607C4⋊C4—82no—
608C4⋊C4—84no—
609C4⋊C4—84no—
610C4⋊C4C22×D412yes—
611C4⋊C4C22×D412yes—
612C4⋊C4C22×D412yes—
613C4⋊C4C22×D412yes—
614C22⋊C4—24no—
615C22⋊C4—24no—
616C22⋊C4—24no—
617C22⋊C4—44no—
618C22⋊C4—44no—
619C22⋊C4—44no—
620C22⋊C4—44no—
621C22⋊C4—48no—
622C22⋊C4—48no—
623C22⋊C4—44no—
624C22⋊C4—48no—
625C22⋊C4—44no—
626C22⋊C4—44no—
627C22⋊C4—42no—
628C22⋊C4—42no—
629C22⋊C4—84no—
630C42—24no—
631C42—24no—
632C42—22no—
633C42—22no—
634C42—22no—
635C42—22no—
636C42—22no—
637C42—22no—
638C42—44no—
639C42—42no—
640C42—42no—
641C23—22no—
642C23—22no—
643C23—24no—
644C23—24no—
645C23—22no—
646C23—22no—
647C23—24no—
648C23—22no—
649C23—44no—
650C23—44no—
651C23—42no—
652C23—42no—
653C23—48no—
654C23—88no—
655C23—162no—
656C23—162no—
657C23—164no—
658C23#53612yes—
659C23D4212yes—
660C23#54612yes—
661C23C23×D411yescharacteristic
662Q8—44no—
663Q8—42no—
664Q8—42no—
665Q8—42no—
666Q8—42no—
667Q8—84no—
668Q8—164no—
669D4—24no—
670D4—24no—
671D4—48no—
672D4—42no—
673D4—48no—
674D4—44no—
675D4—42no—
676D4—168no—
677C2×C4—22no—
678C2×C4—24no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—24no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—22no—
693C2×C4—22no—
694C2×C4—48no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—84no—
717C2×C4—164no—
718C2×C4—164no—
719C2×C4—164no—
720C2×C4—162no—
721C2×C4—162no—
722C2×C4#53612yes—
723C2×C4#53714yes—
724C2×C4#53914yes—
725C2×C4D4212yes—
726C2×C4#54612yes—
727C2×C4#54814yes—
728C2×C4#56214yes—
729C2×C4C23×D411yescharacteristic
730C2×C4C22×#4111yescharacteristic
731C2×C4C2×H(5,𝔽2)11yescharacteristic
732C2×C4C2×H(5,𝔽2)11yescharacteristic
733C2×C4C2×2−1+411yescharacteristic
734C2×C4C2×2−1+411yescharacteristic
735C8—22no—
736C8—22no—
737C8—42no—
738C8—42no—
739C8—42no—
740C22—22no—
741C22—22no—
742C22—24no—
743C22—24no—
744C22—42no—
745C22—44no—
746C22—42no—
747C22—42no—
748C22—44no—
749C22—44no—
750C22—48no—
751C22—82no—
752C22—82no—
753C22—84no—
754C22—168no—
755C22#268114yes—
756C22C2×#53611yescharacteristic
757C22C2×D4211yescharacteristic
758C22C2×#54611yescharacteristic
759C22#358512yes—
760C22#358612yes—
761C4—42no—
762C4—42no—
763C4—42no—
764C4—42no—
765C4—42no—
766C4—42no—
767C4—42no—
768C4—42no—
769C4—42no—
770C4—82no—
771C4—82no—
772C4—82no—
773C4—82no—
774C4—82no—
775C4#268114yes—
776C4C2×#53711yescharacteristic
777C4C2×#53911yescharacteristic
778C4C2×#54811yescharacteristic
779C4C2×#56211yescharacteristic
780C2—24no—
781C2—82no—
782C2—84no—
783C2C2×#268111yescharacteristic
784C2#6088512yes—
785C2#6108211yescharacteristic
786C2#6108311yescharacteristic
787C2#6117712yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#535C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2297 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3097C2semidirect
2. C2×#3081C2semidirect
4. #35532C2semidirect
5. #31138C2semidirect
6. #31136C2semidirect
7. #31135C2semidirect
8. #31133C2semidirect
9. #23658C2semidirect
10. #23613C2semidirect
11. #23506C2semidirect
13. #23484C2semidirect
14. #23457C2semidirect
15. C2×#1959C2semidirect
16. #21154C2semidirect
17. #21047C2semidirect
19. #20876C2semidirect
27. C2×#484C22semidirect
28. C2×#485C22semidirect
29. C2×#485C22semidirect
30. C2×#483C22semidirect
61. #2441C22semidirect
62. #2440C22semidirect
73. #2084C22semidirect
74. #2083C22semidirect
75. #2068C22semidirect
76. #2066C22semidirect
79. #2036C22semidirect
80. #2035C22semidirect
83. #2026C22semidirect
84. #2024C22semidirect
87. #1944C22semidirect
88. #1944C22semidirect
89. #1943C22semidirect
90. #1943C22semidirect
91. #1924C22semidirect
92. #1924C22semidirect
171. #427D4semidirect

Maximal subgroups

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

subgroupindex
C2×#30972
C2×#30812
#356172
#355322
#311382
#311362
#311352
#311332
#236582
#236132
#235062
#234862
#234842
#234572
C2×#19592
#211542
#210472
#209142
#208762