Finite Group Databasebeta

← #7628695

Subgroups — #7628695

Order 512.

5080 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36635C214yesmaximal, complemented
2#35239C214yesmaximal, complemented
3#35235C214yesmaximal, complemented
4#35213C214yesmaximal, complemented
5#35202C212yesmaximal, complemented
6#35192C212yesmaximal, complemented
7#35146C214yesmaximal, complemented
8#35132C214yesmaximal, complemented
9#35079C214yesmaximal
10#35065C214yesmaximal
11#34948C212yesmaximal, complemented
12#34938C212yesmaximal, complemented
13#34912C214yesmaximal, complemented
14#34878C214yesmaximal, complemented
15#34739C214yesmaximal
16#34644C214yesmaximal, complemented
17#34074C214yesmaximal, complemented
18#34012C211yesmaximal, characteristic
19C2×#2283C211yesmaximal, characteristic
20C2×C4×#117C211yesmaximal, characteristic
21C2×#533C2214yes—
22C22×#117C2212yes—
23C23×C42C2211yescharacteristic
24#2864C2214yescomplemented
25#2864C2214yescomplemented
26#2863C22116yescomplemented
27#2862C2214yescomplemented
28#2859C2214yescomplemented
29#2857C2218yes—
30#2855C22116yes—
31#2851C2218yes—
32#2667C2218yes—
33#2667C2218yes—
34#2666C22116yescomplemented
35#2666C22116yescomplemented
36#2665C2218yes—
37#2665C2218yes—
38#2612C22116yescomplemented
39#2608C2218yes—
40#2607C2218yes—
41#2606C2218yescomplemented
42#2606C2218yescomplemented
43#2605C2218yescomplemented
44#2605C2218yescomplemented
45#2571C2214yescomplemented
46#2570C2218yescomplemented
47#2570C2218yescomplemented
48#2569C2218yes—
49#2569C2218yes—
50#2552C2214yescomplemented
51#2552C2214yescomplemented
52#2551C2214yescomplemented
53#2550C2218yescomplemented
54#2550C2218yescomplemented
55#2549C2218yes—
56#2549C2218yes—
57#2442C2218yes—
58#2442C2218yes—
59#2441C2218yes—
60#2441C2218yes—
61#2440C2218yes—
62#2440C2218yes—
63#2439C2218yes—
64#2439C2218yes—
65#2438C22116yes—
66#2438C22116yes—
67#2437C22116yes—
68#2402C2218yescomplemented
69#2399C2218yescomplemented
70#2396C22116yes—
71#2331C2218yescomplemented
72#2331C2218yescomplemented
73#2330C2218yescomplemented
74#2330C2218yescomplemented
75#2329C22116yes—
76#2329C22116yes—
77C4×C4⋊Q8C2218yescomplemented
78C4×#125C2218yescomplemented
79C4×C22⋊Q8C22116yes—
80#2296C2214yes—
81#2296C2214yes—
82#2295C22116yescomplemented
83#2295C22116yescomplemented
84#2285C2214yes—
85#2285C2212yes—
86#2285C2212yes—
87#2285C2212yes—
88#2283C2212yes—
89#2283C2212yes—
90#2283C2212yes—
91#2283C2212yes—
92#2283C2212yes—
93#2283C2212yes—
94#2283C2212yes—
95#2283C2212yes—
96#2283C2211yescharacteristic
97#2283C2211yescharacteristic
98#2283C2212yes—
99#2283C2212yes—
100#2283C2212yes—
101#2283C2212yes—
102#2283C2212yes—
103C2×#383C2212yes—
104C2×#382C2212yes—
105#2280C2212yes—
106#2280C2212yes—
107#2280C2212yes—
108C2×#381C2212yes—
109C2×#380C2212yes—
110C4×#117C2212yes—
111C4×#117C2212yes—
112C4×#117C2212yes—
113C4×#117C2212yes—
114C4×#117C2212yes—
115C4×#117C2212yes—
116C4×#117C2212yes—
117C4×#117C2212yes—
118C4×#117C2212yes—
119C4×#117C2211yescharacteristic
120C4×#117C2211yescharacteristic
121C4×#117C2212yes—
122C2×C4×C4⋊C4C2212yes—
123C2×C4×C4⋊C4C2212yes—
124C2×C4×C4⋊C4C2212yes—
125C2×C4×C22⋊C4C2212yes—
126C2×C4×C22⋊C4C2212yes—
127C2×C4×C22⋊C4C2212yes—
128C2×#376C2212yes—
129C2×#376C2212yes—
130C2×C43C2212yes—
131C24×C4C2311yescharacteristic
132C24×C4C2311yescharacteristic
133C24×C4C2311yescharacteristic
134#533—232no—
135C2×C4⋊Q8C2318yes—
136C2×C4⋊Q8C2318yes—
137C2×#125C2318yes—
138C2×#125C2318yes—
139C2×C22⋊Q8C23116yes—
140C2×C22⋊Q8C23116yes—
141C2×C4×Q8C23116yes—
142C2×#117—216no—
143C2×#117C2314yes—
144C2×#117C2314yes—
145C2×#117C2314yes—
146C2×#117C2312yes—
147C2×#117C2314yes—
148C2×#117C2314yes—
149C2×#117C2314yes—
150C2×#117C2312yes—
151C22×C4⋊C4C2314yes—
152C22×C4⋊C4C2314yes—
153C22×C22⋊C4C2314yes—
154C22×C22⋊C4C2314yes—
155C22×C42Q8116yescomplemented
156C22×C42C2314yes—
157C22×C42C2314yes—
158C22×C42C2314yes—
159C22×C42C2314yes—
160C22×C42C2311yescharacteristic
161C22×C42C2311yescharacteristic
162C22×C42C2311yescharacteristic
163C22×C42C2311yescharacteristic
164C22×C42C2311yescharacteristic
165C22×C42C2311yescharacteristic
166C22×C42C2311yescharacteristic
167C22×C42C2311yescharacteristic
168C22×C42C2311yescharacteristic
169C22×C42C2311yescharacteristic
170C22×C42C2311yescharacteristic
171C22×C42C2311yescharacteristic
172#400C23116yes—
173#400C23116yes—
174#400C23116yes—
175#399C23116yes—
176#398C23116yes—
177#398C23116yes—
178#398C23116yes—
179#398C23116yes—
180#398C23116yes—
181#398C23116yes—
182#396C23116yes—
183#396C23116yes—
184#395C23116yes—
185#395C23116yes—
186#395C23116yes—
187#393C23116yes—
188#391C23116yes—
189#391C23116yes—
190#391C23116yes—
191#391C23116yes—
192#391C23116yes—
193#391C23116yes—
194#389C2318yes—
195#389C2318yes—
196#389C2318yes—
197#389C2318yes—
198#389C23116yes—
199#389C2318yes—
200#389C2318yes—
201#389C23116yes—
202#389C23116yes—
203#389C23116yes—
204#389C23116yes—
205#389C2318yes—
206#389C2318yes—
207#389C23116yes—
208#387C23116yes—
209#387C23116yes—
210#387C23116yes—
211#387C23116yes—
212#387C23116yes—
213#387C23116yes—
214#387C23116yes—
215#387C23116yes—
216#387C23116yes—
217#387C23116yes—
218#387C23116yes—
219#387C23116yes—
220#385C23116yes—
221#385C23116yes—
222#385C23116yes—
223#385C23116yes—
224#384C2318yes—
225#384C2318yes—
226#384C2314yes—
227#383C2312yes—
228#383C2314yes—
229#383C2312yes—
230#383C2314yes—
231#383C2314yes—
232#383C2314yes—
233#383C2314yes—
234#382C2318yes—
235#382C2314yes—
236#382C2314yes—
237#382C2318yes—
238#382C2312yes—
239#382C2314yes—
240#382C2312yes—
241#382C2314yes—
242#382C2314yes—
243#382C2314yes—
244#381C2314yes—
245#381C2314yes—
246#381C2314yes—
247#381C2312yes—
248#381C2314yes—
249#381C2312yes—
250#381C2314yes—
251#381C2314yes—
252#380C2314yes—
253#380C2314yes—
254#380C23116yes—
255#380C23116yes—
256#380C2314yes—
257#380C2314yes—
258#380C2314yes—
259#380C2314yes—
260#380C2312yes—
261#380C2314yes—
262#380C2314yes—
263#380C2314yes—
264#380C2312yes—
265#379C2314yes—
266C4×C4⋊C4C2314yes—
267C4×C4⋊C4C2314yes—
268C4×C4⋊C4C23116yes—
269C4×C4⋊C4C23116yes—
270C4×C4⋊C4C23116yes—
271C4×C4⋊C4C2312yes—
272C4×C4⋊C4C2314yes—
273C4×C4⋊C4C2314yes—
274C4×C4⋊C4C2314yes—
275C4×C4⋊C4C2312yes—
276C4×C4⋊C4C2312yes—
277C4×C4⋊C4C2314yes—
278C4×C4⋊C4C2314yes—
279C4×C4⋊C4C2314yes—
280C4×C4⋊C4C2314yes—
281C4×C4⋊C4C2314yes—
282C4×C4⋊C4C2314yes—
283C4×C4⋊C4C2314yes—
284C4×C4⋊C4C2314yes—
285C4×C4⋊C4C2314yes—
286C4×C4⋊C4C2314yes—
287C4×C4⋊C4C2312yes—
288C4×C4⋊C4C2312yes—
289C4×C4⋊C4C2312yes—
290C4×C22⋊C4C2312yes—
291C4×C22⋊C4C2314yes—
292C4×C22⋊C4C2314yes—
293C4×C22⋊C4C2314yes—
294C4×C22⋊C4C2314yes—
295C4×C22⋊C4C2314yes—
296C4×C22⋊C4C2314yes—
297C4×C22⋊C4C2314yes—
298C4×C22⋊C4C2314yes—
299C4×C22⋊C4C2314yes—
300C4×C22⋊C4C2314yes—
301C4×C22⋊C4C2314yes—
302C4×C22⋊C4C2312yes—
303C4×C22⋊C4C2314yes—
304C4×C22⋊C4C2312yes—
305C4×C22⋊C4C2314yes—
306C4×C22⋊C4C2312yes—
307C4×C22⋊C4C2312yes—
308C4×C22⋊C4C2312yes—
309C4×C22⋊C4C2314yes—
310C4×C22⋊C4C2314yes—
311#376C2312yes—
312#376C2314yes—
313#376C2312yes—
314#376C2314yes—
315#376C2314yes—
316#376C2314yes—
317#376C2314yes—
318#376C2312yes—
319#376C2312yes—
320#376C2314yes—
321#376C2314yes—
322#376C2314yes—
323#376C2314yes—
324C2×#95C2314yes—
325C2×#95C2314yes—
326C2×#95C2314yes—
327C2×#95C2314yes—
328C2×#95C2314yes—
329C2×#95C2314yes—
330C43C2312yes—
331C43C2312yes—
332C43C2314yes—
333C43C2314yes—
334C43C2314yes—
335C43C2314yes—
336C25C2411yescharacteristic
337C22×Q8C24116yes—
338C23×C4—28no—
339C23×C4—44no—
340C23×C4—44no—
341C23×C4C2×Q818yes—
342C23×C4C2×Q818yes—
343C23×C4C2×Q818yes—
344C23×C4C2418yes—
345C23×C4C2411yescharacteristic
346C23×C4C2411yescharacteristic
347C23×C4C2411yescharacteristic
348C23×C4C2411yescharacteristic
349C23×C4C2411yescharacteristic
350C23×C4C2411yescharacteristic
351C23×C4C2411yescharacteristic
352C23×C4C2411yescharacteristic
353C23×C4C2411yescharacteristic
354C23×C4C2411yescharacteristic
355C23×C4C2418yes—
356C23×C4C2411yescharacteristic
357C23×C4C2411yescharacteristic
358C23×C4C2411yescharacteristic
359C23×C4C2411yescharacteristic
360C23×C4C2411yescharacteristic
361C23×C4C2411yescharacteristic
362C23×C4C2411yescharacteristic
363C23×C4C2411yescharacteristic
364C4⋊Q8—232no—
365C4⋊Q8—416no—
366#125—232no—
367#125—416no—
368C22⋊Q8—264no—
369C22⋊Q8—432no—
370C4×Q8—264no—
371#117—28no—
372#117—216no—
373#117—216no—
374#117—216no—
375#117—216no—
376#117—48no—
377#117—48no—
378#117#41116yes—
379C2×C4⋊C4—216no—
380C2×C4⋊C4—48no—
381C2×C4⋊C4C2414yes—
382C2×C4⋊C4C2418yes—
383C2×C4⋊C4C2414yes—
384C2×C4⋊C4C2414yes—
385C2×C4⋊C4C2418yes—
386C2×C4⋊C4C2418yes—
387C2×C4⋊C4C24116yes—
388C2×C4⋊C4C24116yes—
389C2×C4⋊C4C24116yes—
390C2×C4⋊C4C2418yes—
391C2×C4⋊C4C2418yes—
392C2×C4⋊C4C24116yes—
393C2×C4⋊C4C24116yes—
394C2×C4⋊C4C24116yes—
395C2×C4⋊C4C24116yes—
396C2×C4⋊C4C24116yes—
397C2×C4⋊C4C24116yes—
398C2×C4⋊C4C2414yes—
399C2×C22⋊C4—216no—
400C2×C22⋊C4—48no—
401C2×C22⋊C4C2414yes—
402C2×C22⋊C4C2418yes—
403C2×C22⋊C4C2418yes—
404C2×C22⋊C4C2418yes—
405C2×C22⋊C4C2418yes—
406C2×C22⋊C4C2414yes—
407C2×C22⋊C4C2414yes—
408C2×C22⋊C4C2418yes—
409C2×C22⋊C4C2414yes—
410C2×C42—216no—
411C2×C42—216no—
412C2×C42—48no—
413C2×C42—48no—
414C2×C42C2×Q818yes—
415C2×C42C2×Q818yes—
416C2×C42C2×Q818yes—
417C2×C42C2×Q818yes—
418C2×C42C2×Q818yes—
419C2×C42C2×Q818yes—
420C2×C42C2×Q818yes—
421C2×C42C2×Q818yes—
422C2×C42C2×Q818yes—
423C2×C42C2×Q818yes—
424C2×C42C2×Q818yes—
425C2×C42C2×Q818yes—
426C2×C42C2418yes—
427C2×C42C2414yes—
428C2×C42C2414yes—
429C2×C42C2414yes—
430C2×C42C2414yes—
431C2×C42C2414yes—
432C2×C42C2418yes—
433C2×C42C2418yes—
434C2×C42C2418yes—
435C2×C42C2418yes—
436C2×C42C2414yes—
437C2×C42C2418yes—
438C2×C42C2418yes—
439C2×C42C2414yes—
440C2×C42C2411yescharacteristic
441C2×C42C2411yescharacteristic
442C2×C42C2411yescharacteristic
443C2×C42C2411yescharacteristic
444C2×C42C2411yescharacteristic
445C2×C42C2411yescharacteristic
446C2×C42C2411yescharacteristic
447C2×C42C2411yescharacteristic
448C2×C42C2411yescharacteristic
449C2×C42C2411yescharacteristic
450C2×C42C2411yescharacteristic
451C2×C42C2411yescharacteristic
452C2×C42C2411yescharacteristic
453C2×C42C2411yescharacteristic
454C2×C42C2411yescharacteristic
455C2×C42C2411yescharacteristic
456C2×C42C2414yes—
457#95C2418yes—
458#95C2418yes—
459#95C2414yes—
460#95C2414yes—
461#95C2414yes—
462#95C2414yes—
463#95C2414yes—
464#95C2418yes—
465#95C2414yes—
466#95C2414yes—
467#95C2418yes—
468#95C2414yes—
469#95C2414yes—
470#95C2414yes—
471#95C2418yes—
472#95C2418yes—
473#95C2414yes—
474#95C2414yes—
475#95C2418yes—
476#95C2418yes—
477#95C2418yes—
478#95C2418yes—
479#95C2418yes—
480#95C2418yes—
481#95C24116yes—
482#95C24116yes—
483#95C24116yes—
484#95C24116yes—
485#95C24116yes—
486#95C24116yes—
487C24—24no—
488C24—24no—
489C24—42no—
490C24C22×Q814yes—
491C24C2511yescharacteristic
492C24C2511yescharacteristic
493C24C2511yescharacteristic
494C2×Q8—232no—
495C2×Q8—416no—
496C2×Q8—416no—
497C22×C4—24no—
498C22×C4—24no—
499C22×C4—24no—
500C22×C4—232no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—216no—
509C22×C4—216no—
510C22×C4—216no—
511C22×C4—416no—
512C22×C4—48no—
513C22×C4—416no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—48no—
522C22×C4—48no—
523C22×C4C22×Q814yes—
524C22×C4C22×Q814yes—
525C22×C4C22×Q814yes—
526C22×C4C22×Q814yes—
527C22×C4C22×Q814yes—
528C22×C4C22×Q814yes—
529C22×C4C22×Q814yes—
530C22×C4C22×Q814yes—
531C22×C4C22×Q814yes—
532C22×C4C22×Q814yes—
533C22×C4C22×Q814yes—
534C22×C4C22×Q814yes—
535C22×C4C22×Q814yes—
536C22×C4C22×Q814yes—
537C22×C4C22×Q814yes—
538C22×C4C22×Q814yes—
539C22×C4C22×Q814yes—
540C22×C4C22×Q814yes—
541C22×C4C2×#4118yes—
542C22×C4C2518yes—
543C22×C4C2518yes—
544C22×C4C25116yes—
545C22×C4C2518yes—
546C22×C4C2511yescharacteristic
547C22×C4C2511yescharacteristic
548C22×C4C2511yescharacteristic
549C22×C4C2511yescharacteristic
550C22×C4C2511yescharacteristic
551C22×C4C2511yescharacteristic
552C22×C4C2511yescharacteristic
553C22×C4C2511yescharacteristic
554C22×C4C2511yescharacteristic
555C22×C4C2518yes—
556C22×C4C2511yescharacteristic
557C22×C4C2511yescharacteristic
558C22×C4C2511yescharacteristic
559C4⋊C4—216no—
560C4⋊C4—28no—
561C4⋊C4—216no—
562C4⋊C4—232no—
563C4⋊C4—232no—
564C4⋊C4—232no—
565C4⋊C4—28no—
566C4⋊C4—28no—
567C4⋊C4—216no—
568C4⋊C4—48no—
569C4⋊C4—48no—
570C4⋊C4—416no—
571C4⋊C4—416no—
572C4⋊C4—416no—
573C4⋊C4—416no—
574C4⋊C4—416no—
575C4⋊C4—416no—
576C4⋊C4C2×#41116yes—
577C22⋊C4—28no—
578C22⋊C4—216no—
579C22⋊C4—216no—
580C22⋊C4—216no—
581C22⋊C4—216no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—48no—
585C22⋊C4C2×#41116yes—
586C42—216no—
587C42—28no—
588C42—216no—
589C42—28no—
590C42—28no—
591C42—216no—
592C42—28no—
593C42—28no—
594C42—48no—
595C42—44no—
596C42—48no—
597C42—44no—
598C42—48no—
599C42—48no—
600C42C22×Q814yes—
601C42C22×Q814yes—
602C42C22×Q814yes—
603C42C22×Q814yes—
604C42C22×Q814yes—
605C42C22×Q814yes—
606C42C22×Q814yes—
607C42C22×Q814yes—
608C42C22×Q814yes—
609C42C22×Q814yes—
610C42C22×Q814yes—
611C42C22×Q814yes—
612C42C22×Q814yes—
613C42C22×Q814yes—
614C42C22×Q814yes—
615C42C22×Q814yes—
616C42C2×#41116yes—
617C23—22no—
618C23—22no—
619C23—22no—
620C23—22no—
621C23—22no—
622C23—22no—
623C23—22no—
624C23—28no—
625C23—28no—
626C23—44no—
627C23—416no—
628C23C23×Q812yes—
629C23C23×Q812yes—
630C23C23×Q812yes—
631C23C22×#4114yes—
632C23#58514yes—
633C23C2611yescharacteristic
634Q8—832no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—28no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—28no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—28no—
647C2×C4—28no—
648C2×C4—28no—
649C2×C4—28no—
650C2×C4—28no—
651C2×C4—28no—
652C2×C4—28no—
653C2×C4—28no—
654C2×C4—28no—
655C2×C4—28no—
656C2×C4—28no—
657C2×C4—28no—
658C2×C4—28no—
659C2×C4—216no—
660C2×C4—28no—
661C2×C4—28no—
662C2×C4—216no—
663C2×C4—216no—
664C2×C4—28no—
665C2×C4—28no—
666C2×C4—28no—
667C2×C4—28no—
668C2×C4—44no—
669C2×C4—44no—
670C2×C4—44no—
671C2×C4—44no—
672C2×C4—44no—
673C2×C4—44no—
674C2×C4—44no—
675C2×C4—432no—
676C2×C4—816no—
677C2×C4#533116yes—
678C2×C4C23×Q812yes—
679C2×C4C23×Q812yes—
680C2×C4C23×Q812yes—
681C2×C4C23×Q812yes—
682C2×C4C23×Q812yes—
683C2×C4C23×Q812yes—
684C2×C4C23×Q812yes—
685C2×C4C23×Q812yes—
686C2×C4C23×Q812yes—
687C2×C4C23×Q812yes—
688C2×C4C23×Q812yes—
689C2×C4C23×Q812yes—
690C2×C4C22×#41116yes—
691C2×C4C22×#4114yes—
692C2×C4C22×#4114yes—
693C2×C4#58514yes—
694C22—28no—
695C22—28no—
696C22—22no—
697C22—22no—
698C22—22no—
699C22—22no—
700C22—22no—
701C22—22no—
702C22—22no—
703C22—416no—
704C22—44no—
705C22C2×#53314yes—
706C22#345814yes—
707C22C24×Q811yescharacteristic
708C22C23×#4112yes—
709C22C2×#58512yes—
710C22C2×#58512yes—
711C4—216no—
712C4—22no—
713C4—22no—
714C4—22no—
715C4—22no—
716C4—22no—
717C4—22no—
718C4—22no—
719C4—22no—
720C4—22no—
721C4—48no—
722C4—48no—
723C4—48no—
724C4—416no—
725C4C2×#53314yes—
726C4C2×#53314yes—
727C4#345814yes—
728C2—24no—
729C2—24no—
730C2—42no—
731C2C22×#53311yescharacteristic
732C2C2×#345811yescharacteristic
733C2C2×#345811yescharacteristic
734C2#6281614yes—
subgroupG/H
centerC22×C4C25
commutator, Frattini, socle, cosocleC23C26
prime radicalC25C24
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C22×C4 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36635C2semidirect
2. #35239C2semidirect
3. #35235C2semidirect
4. #35213C2semidirect
5. #35202C2semidirect
6. #35192C2semidirect
7. #35146C2semidirect
8. #35132C2semidirect
11. #34948C2semidirect
12. #34938C2semidirect
13. #34912C2semidirect
14. #34878C2semidirect
16. #34644C2semidirect
17. #34074C2semidirect
24. #2864C22semidirect
25. #2864C22semidirect
26. #2863C22semidirect
27. #2862C22semidirect
28. #2859C22semidirect
34. #2666C22semidirect
35. #2666C22semidirect
38. #2612C22semidirect
41. #2606C22semidirect
42. #2606C22semidirect
43. #2605C22semidirect
44. #2605C22semidirect
45. #2571C22semidirect
46. #2570C22semidirect
47. #2570C22semidirect
50. #2552C22semidirect
51. #2552C22semidirect
52. #2551C22semidirect
53. #2550C22semidirect
54. #2550C22semidirect
68. #2402C22semidirect
69. #2399C22semidirect
71. #2331C22semidirect
72. #2331C22semidirect
73. #2330C22semidirect
74. #2330C22semidirect
77. C4×C4⋊Q8C22semidirect
78. C4×#125C22semidirect
82. #2295C22semidirect
83. #2295C22semidirect
155. C22×C42Q8semidirect

Maximal subgroups

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

subgroupindex
#366352
#352392
#352352
#352132
#352022
#351922
#351462
#351322
#350792
#350652
#349482
#349382
#349122
#348782
#347392
#346442
#340742
#340122
C2×#22832
C2×C4×#1172