Finite Group Databasebeta

← #6448265

Subgroups — #6448265

Order 512.

1464 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
1#35627C211yesmaximal, characteristic
2#34272C211yesmaximal, characteristic
3#26525C212yesmaximal, complemented
4#26523C212yesmaximal, complemented
5#26521C212yesmaximal, complemented
6#26519C212yesmaximal, complemented
7#26515C212yesmaximal, complemented
8#26514C212yesmaximal, complemented
9#26509C212yesmaximal, complemented
10#26507C212yesmaximal, complemented
11#23748C211yesmaximal, characteristic
12C2×#2101C211yesmaximal, characteristic
13#23671C211yesmaximal, characteristic
14#23670C211yesmaximal, characteristic
15#21326C211yesmaximal, characteristic
16#21315C211yesmaximal, characteristic
17#21175C211yesmaximal, characteristic
18#21175C211yesmaximal, characteristic
19#21172C211yesmaximal, characteristic
20#21148C211yesmaximal, characteristic
21#21036C211yesmaximal, characteristic
22#21032C211yesmaximal, characteristic
23#20453C211yesmaximal, characteristic
24C2×#544C2211yescharacteristic
25C2×#428C2211yescharacteristic
26C2×#428C2211yescharacteristic
27C2×#428C2211yescharacteristic
28C2×#427C2211yescharacteristic
29C2×#424C2211yescharacteristic
30C2×#424C2211yescharacteristic
31C2×#423C2211yescharacteristic
32C2×#405C2211yescharacteristic
33#2571C2212yes—
34#2571C2212yes—
35#2570C2212yes—
36#2570C2212yes—
37#2509—21no—
38#2509—21no—
39#2508—21no—
40#2508—21no—
41#2505—22no—
42#2505—22no—
43#2370C2212yes—
44#2370C2212yes—
45#2369C2212yes—
46#2368—22no—
47#2365C2212yes—
48#2360—22no—
49#2331—21no—
50#2330—21no—
51#2317C2211yescharacteristic
52#2317C2211yescharacteristic
53#2317C2211yescharacteristic
54#2316C2211yescharacteristic
55C4×C4⋊Q8—21no—
56C4×#125—21no—
57#2296C2211yescharacteristic
58#2296C2211yescharacteristic
59C2×#389C2211yescharacteristic
60C2×#382C2211yescharacteristic
61#2274C2211yescharacteristic
62#2274C2211yescharacteristic
63#2274C2211yescharacteristic
64C4×#117C2211yescharacteristic
65#2101C2212yes—
66#2101C2212yes—
67#2101C2212yes—
68#2101C2212yes—
69#2101C2212yes—
70#2101C2212yes—
71#2100C2212yes—
72#2099C2212yes—
73#2088C2212yes—
74#2088C2212yes—
75#2088C2212yes—
76#2088C2212yes—
77#2087C2212yes—
78#2087C2212yes—
79#2086C2212yes—
80#2086C2212yes—
81#1993C2212yes—
82#1992C2212yes—
83#1991C2212yes—
84#1990C2212yes—
85#1989C2212yes—
86#1989C2212yes—
87#1988C2212yes—
88#1987C2212yes—
89#1949C2212yes—
90#1949C2212yes—
91#1949C2212yes—
92#1949C2212yes—
93#1949C2212yes—
94#1949C2212yes—
95#1949C2212yes—
96#1949C2212yes—
97#1948C2212yes—
98#1948C2212yes—
99#1947C2212yes—
100#1947C2212yes—
101#1940C2212yes—
102#1940C2212yes—
103#1939C2212yes—
104#1939C2212yes—
105#1921C2211yescharacteristic
106#1921C2211yescharacteristic
107#1921C2212yes—
108#1920C2211yescharacteristic
109#1920C2211yescharacteristic
110#1920C2212yes—
111#1919C2211yescharacteristic
112#1919C2211yescharacteristic
113#1919C2212yes—
114#1918C2211yescharacteristic
115#1918C2211yescharacteristic
116#1918C2212yes—
117#1776C2212yes—
118#1776C2212yes—
119C4×#107C2212yes—
120C4×#106C2212yes—
121#1736C2211yescharacteristic
122#1736C2211yescharacteristic
123#1736C2211yescharacteristic
124#1736C2211yescharacteristic
125#1736C2211yescharacteristic
126#1735C2211yescharacteristic
127#1735C2211yescharacteristic
128#1735C2211yescharacteristic
129C2×#340C2211yescharacteristic
130C2×#340C2211yescharacteristic
131C2×#340C2211yescharacteristic
132C2×#340C2211yescharacteristic
133#1729C2211yescharacteristic
134C2×#336C2211yescharacteristic
135C22×M16C2311yescharacteristic
136C22×M16C2311yescharacteristic
137C23×C8C2311yescharacteristic
138C23×C8C2311yescharacteristic
139#544—24no—
140#544Q818yes—
141C2×C4⋊Q8—21no—
142C2×C4⋊Q8C2312yes—
143C2×#125—21no—
144C2×#125C2312yes—
145C2×C22⋊Q8—22no—
146C2×C4×Q8—22no—
147C2×#117C2311yescharacteristic
148C2×#117C2311yescharacteristic
149C2×#117C2311yescharacteristic
150C2×#117C2311yescharacteristic
151C2×#117C2311yescharacteristic
152C2×#117C2311yescharacteristic
153C22×C4⋊C4—21no—
154C22×C4⋊C4C2311yescharacteristic
155C22×C4⋊C4C2311yescharacteristic
156C22×C4⋊C4C2311yescharacteristic
157C22×C4⋊C4C2311yescharacteristic
158C22×C42C2311yescharacteristic
159#428—24no—
160#428—24no—
161#428—24no—
162#427—24no—
163C2×#107C2312yes—
164C2×#107C2311yescharacteristic
165C2×#107C2311yescharacteristic
166C2×#107C2312yes—
167C2×#107C2312yes—
168C2×#106C2312yes—
169C2×#106C2311yescharacteristic
170C2×#106C2311yescharacteristic
171C2×#106C2312yes—
172C2×#106C2312yes—
173#424—24no—
174#424—24no—
175#423—24no—
176C2×C4⋊C8C2312yes—
177C2×C4⋊C8C2312yes—
178C2×C4⋊C8C2312yes—
179C2×C4⋊C8C2312yes—
180C2×C4⋊C8C2312yes—
181C2×C4⋊C8C2312yes—
182#405—24no—
183C2×#97C2312yes—
184C2×C4×C8C2312yes—
185#400—22no—
186#400—22no—
187#400—22no—
188#400—22no—
189#400—22no—
190#400—22no—
191#398—22no—
192#398—22no—
193#391—22no—
194#391—22no—
195#391—22no—
196#389—22no—
197#389—22no—
198#389—22no—
199#389—21no—
200#389—21no—
201#389—21no—
202#389—21no—
203#389—21no—
204#389—21no—
205#389—22no—
206#389—22no—
207#389—21no—
208#389—21no—
209#389D411yescharacteristic
210#389D411yescharacteristic
211#389D411yescharacteristic
212#389D411yescharacteristic
213#389C2311yescharacteristic
214#389C2311yescharacteristic
215#389C2312yes—
216#389C2312yes—
217#389C2311yescharacteristic
218#389C2311yescharacteristic
219#389C2312yes—
220#389C2312yes—
221#389C2312yes—
222#389C2312yes—
223#387—22no—
224#387—22no—
225#387—22no—
226#387—22no—
227#387—22no—
228#387—22no—
229#387—22no—
230#387—22no—
231#387—22no—
232#387—22no—
233#385—21no—
234#385—21no—
235#385—22no—
236#385—22no—
237#385—22no—
238#385D412yes—
239#385D412yes—
240#384—21no—
241#384C2312yes—
242#384C2312yes—
243#382—21no—
244#382—22no—
245#382—22no—
246#382—21no—
247#382—21no—
248#382C2312yes—
249#382C2312yes—
250#382C2312yes—
251#382C2312yes—
252#380—22no—
253C4×C4⋊C4—21no—
254C4×C4⋊C4—21no—
255C4×C4⋊C4—22no—
256C4×C4⋊C4—21no—
257C4×C4⋊C4—21no—
258C4×C4⋊C4—21no—
259C4×C4⋊C4—21no—
260C4×C4⋊C4—21no—
261C4×C4⋊C4—21no—
262C4×C4⋊C4—22no—
263C4×C4⋊C4—22no—
264C4×C4⋊C4C2312yes—
265C4×C4⋊C4C2312yes—
266C4×C4⋊C4C2311yescharacteristic
267C4×C4⋊C4C2312yes—
268C4×C4⋊C4C2312yes—
269C4×C4⋊C4C2311yescharacteristic
270C4×C4⋊C4C2312yes—
271C4×C4⋊C4C2312yes—
272C4×C4⋊C4C2311yescharacteristic
273C4×C4⋊C4C2311yescharacteristic
274C4×C4⋊C4C2312yes—
275C4×C4⋊C4C2312yes—
276C4×C22⋊C4—21no—
277C4×C22⋊C4—21no—
278C4×C22⋊C4—22no—
279C4×C22⋊C4—22no—
280C4×C22⋊C4—22no—
281#376—21no—
282C2×#95—21no—
283C2×#95—21no—
284C2×#95—21no—
285C43—21no—
286#340C2311yescharacteristic
287#340C2312yes—
288#340C2312yes—
289#340C2312yes—
290#340C2312yes—
291#340C2312yes—
292#340C2311yescharacteristic
293#340C2312yes—
294#340C2312yes—
295#340C2312yes—
296#340C2312yes—
297#340C2311yescharacteristic
298#340C2311yescharacteristic
299#340C2312yes—
300#340C2311yescharacteristic
301#340C2312yes—
302#340C2312yes—
303#340C2311yescharacteristic
304#340C2312yes—
305#340C2312yes—
306#340C2312yes—
307#340C2312yes—
308#340C2311yescharacteristic
309#340C2311yescharacteristic
310#340C2312yes—
311#340C2312yes—
312#340C2311yescharacteristic
313#340C2311yescharacteristic
314#340C2311yescharacteristic
315#340C2311yescharacteristic
316#336C2312yes—
317#336C2312yes—
318#336C2311yescharacteristic
319#336C2311yescharacteristic
320#336C2311yescharacteristic
321#336C2311yescharacteristic
322C22×Q8—22no—
323C23×C4—21no—
324C23×C4—21no—
325C23×C4—21no—
326C23×C4—21no—
327C23×C4C2×D411yescharacteristic
328C23×C4C2×D411yescharacteristic
329C23×C4C2411yescharacteristic
330C2×M16—22no—
331C2×M16—22no—
332C2×M16—22no—
333C2×M16—22no—
334C2×M16—22no—
335C2×M16#4114yes—
336C22×C8—22no—
337C22×C8—22no—
338C22×C8—22no—
339C22×C8—22no—
340C22×C8—22no—
341C22×C8—22no—
342C22×C8C2411yescharacteristic
343C22×C8C2411yescharacteristic
344C22×C8C2411yescharacteristic
345C22×C8C2411yescharacteristic
346C22×C8C2412yes—
347C22×C8C2412yes—
348C4⋊Q8—28no—
349C4⋊Q8—24no—
350C4⋊Q8C2×Q818yes—
351#125—28no—
352#125—24no—
353#125C2×Q818yes—
354C22⋊Q8—216no—
355C4×Q8—84no—
356#117—22no—
357#117—22no—
358#117—22no—
359#117—22no—
360#117—22no—
361#117—22no—
362#117—22no—
363#117—22no—
364#117C2×Q814yes—
365#117C2×Q814yes—
366#117#4114yes—
367#117#4114yes—
368C2×C4⋊C4—21no—
369C2×C4⋊C4—22no—
370C2×C4⋊C4—22no—
371C2×C4⋊C4—22no—
372C2×C4⋊C4—22no—
373C2×C4⋊C4—22no—
374C2×C4⋊C4—22no—
375C2×C4⋊C4—22no—
376C2×C4⋊C4—22no—
377C2×C4⋊C4—22no—
378C2×C4⋊C4—22no—
379C2×C4⋊C4—22no—
380C2×C4⋊C4—21no—
381C2×C4⋊C4—21no—
382C2×C4⋊C4—21no—
383C2×C4⋊C4—22no—
384C2×C4⋊C4—22no—
385C2×C4⋊C4—22no—
386C2×C4⋊C4—21no—
387C2×C4⋊C4—21no—
388C2×C4⋊C4—21no—
389C2×C4⋊C4—21no—
390C2×C4⋊C4—22no—
391C2×C4⋊C4—22no—
392C2×C4⋊C4—22no—
393C2×C4⋊C4—22no—
394C2×C4⋊C4—22no—
395C2×C4⋊C4—22no—
396C2×C4⋊C4—82no—
397C2×C4⋊C4C2×D411yescharacteristic
398C2×C4⋊C4C2×D411yescharacteristic
399C2×C4⋊C4C2×D412yes—
400C2×C4⋊C4C2×D412yes—
401C2×C4⋊C4C2×D412yes—
402C2×C4⋊C4C2×D412yes—
403C2×C4⋊C4C2×D411yescharacteristic
404C2×C4⋊C4C2×D411yescharacteristic
405C2×C4⋊C4C2×Q814yes—
406C2×C4⋊C4C2412yes—
407C2×C4⋊C4C2412yes—
408C2×C4⋊C4C2412yes—
409C2×C4⋊C4C2411yescharacteristic
410C2×C4⋊C4C2411yescharacteristic
411C2×C4⋊C4C2411yescharacteristic
412C2×C4⋊C4C2411yescharacteristic
413C2×C4⋊C4C2412yes—
414C2×C4⋊C4C2411yescharacteristic
415C2×C4⋊C4C2411yescharacteristic
416C2×C4⋊C4C2411yescharacteristic
417C2×C4⋊C4C2411yescharacteristic
418C2×C22⋊C4—21no—
419C2×C22⋊C4—21no—
420C2×C22⋊C4—21no—
421C2×C22⋊C4—21no—
422C2×C22⋊C4C2×D412yes—
423C2×C22⋊C4C2×D412yes—
424C2×C42—21no—
425C2×C42—21no—
426C2×C42—22no—
427C2×C42—22no—
428C2×C42—21no—
429C2×C42—21no—
430C2×C42—21no—
431C2×C42—21no—
432C2×C42—22no—
433C2×C42—22no—
434C2×C42—21no—
435C2×C42—21no—
436C2×C42—22no—
437C2×C42—22no—
438C2×C42—22no—
439C2×C42—22no—
440C2×C42C2×D411yescharacteristic
441C2×C42C2×D411yescharacteristic
442C2×C42C2412yes—
443C2×C42C2411yescharacteristic
444C2×C42C2411yescharacteristic
445C2×C42C2412yes—
446#107—24no—
447#107—22no—
448#107—22no—
449#107—24no—
450#107—24no—
451#106—24no—
452#106—22no—
453#106—22no—
454#106—24no—
455#106—24no—
456C4⋊C8—24no—
457C4⋊C8—24no—
458C4⋊C8—24no—
459C4⋊C8—24no—
460C4⋊C8—24no—
461C4⋊C8—24no—
462#97—24no—
463C4×C8—24no—
464#95—22no—
465#95—22no—
466#95—22no—
467#95—22no—
468#95—22no—
469#95—22no—
470#95—21no—
471#95—21no—
472#95—21no—
473#95—21no—
474#95—22no—
475#95—22no—
476#95—22no—
477#95—22no—
478#95—22no—
479#95—22no—
480#95—21no—
481#95—21no—
482#95—22no—
483#95—22no—
484#95—21no—
485#95—21no—
486#95—22no—
487#95—22no—
488#95—22no—
489#95—22no—
490#95—22no—
491#95—22no—
492#95C2×D412yes—
493#95C2×D412yes—
494#95C2×D412yes—
495#95C2×D412yes—
496C24C22×D411yescharacteristic
497C2×Q8—28no—
498C2×Q8—82no—
499C2×Q8—82no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—22no—
505C22×C4—24no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—21no—
511C22×C4—21no—
512C22×C4—22no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—41no—
516C22×C4—41no—
517C22×C4—41no—
518C22×C4—41no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—81no—
523C22×C4—81no—
524C22×C4—81no—
525C22×C4—81no—
526C22×C4—81no—
527C22×C4—81no—
528C22×C4—81no—
529C22×C4—81no—
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D412yes—
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D412yes—
536C22×C4C22×D412yes—
537C22×C4C22×D412yes—
538C22×C4C22×D411yescharacteristic
539C22×C4C22×Q812yes—
540C22×C4C2×#4112yes—
541C22×C4C2×#4112yes—
542C22×C4C2×#4112yes—
543C22×C42−1+412yes—
544C22×C42−1+412yes—
545C22×C4C2511yescharacteristic
546M16—28no—
547M16—44no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—22no—
557C2×C8—22no—
558C2×C8—21no—
559C2×C8—22no—
560C2×C8—21no—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—44no—
566C2×C8—44no—
567C2×C8C2×#4114yes—
568C4⋊C4—24no—
569C4⋊C4—28no—
570C4⋊C4—28no—
571C4⋊C4—28no—
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—22no—
581C4⋊C4—22no—
582C4⋊C4—22no—
583C4⋊C4—21no—
584C4⋊C4—21no—
585C4⋊C4—21no—
586C4⋊C4—22no—
587C4⋊C4—22no—
588C4⋊C4—22no—
589C4⋊C4—21no—
590C4⋊C4—21no—
591C4⋊C4—21no—
592C4⋊C4—21no—
593C4⋊C4—42no—
594C4⋊C4—42no—
595C4⋊C4—42no—
596C4⋊C4—42no—
597C4⋊C4—44no—
598C4⋊C4—42no—
599C4⋊C4—42no—
600C4⋊C4—42no—
601C4⋊C4—82no—
602C4⋊C4—82no—
603C4⋊C4—82no—
604C4⋊C4—81no—
605C4⋊C4—81no—
606C4⋊C4—82no—
607C4⋊C4—82no—
608C4⋊C4—82no—
609C4⋊C4—81no—
610C4⋊C4—82no—
611C4⋊C4—81no—
612C4⋊C4—82no—
613C4⋊C4—82no—
614C4⋊C4C22⋊Q814yes—
615C4⋊C4C22⋊Q814yes—
616C4⋊C4C22×Q814yes—
617C4⋊C4C22×Q812yes—
618C4⋊C4C22×Q812yes—
619C4⋊C4C2×#4112yes—
620C4⋊C4C2×#4112yes—
621C22⋊C4—24no—
622C22⋊C4—24no—
623C22⋊C4—24no—
624C22⋊C4—42no—
625C22⋊C4—42no—
626C22⋊C4C22⋊Q818yes—
627C42—24no—
628C42—22no—
629C42—22no—
630C42—24no—
631C42—21no—
632C42—21no—
633C42—22no—
634C42—21no—
635C42—21no—
636C42—22no—
637C42—42no—
638C42—42no—
639C42—42no—
640C42—42no—
641C42—82no—
642C42—82no—
643C42—82no—
644C42—82no—
645C42—81no—
646C42—81no—
647C42—82no—
648C42—82no—
649C42C22×Q814yes—
650C42C2×#4114yes—
651C23—21no—
652C23—21no—
653C23—21no—
654C23—21no—
655C23C2×C22⋊Q812yes—
656C23#54712yes—
657C23#54812yes—
658C23C23×D411yescharacteristic
659Q8—88no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—22no—
670C2×C4—21no—
671C2×C4—22no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—22no—
675C2×C4—21no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—24no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—42no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—42no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—41no—
703C2×C4—41no—
704C2×C4—42no—
705C2×C4—41no—
706C2×C4—41no—
707C2×C4—42no—
708C2×C4—41no—
709C2×C4—41no—
710C2×C4—42no—
711C2×C4—41no—
712C2×C4—41no—
713C2×C4—42no—
714C2×C4—41no—
715C2×C4—41no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—82no—
719C2×C4—82no—
720C2×C4—84no—
721C2×C4—162no—
722C2×C4—162no—
723C2×C4—162no—
724C2×C4C2×C22⋊Q814yes—
725C2×C4C2×C22⋊Q814yes—
726C2×C4C2×C22⋊Q812yes—
727C2×C4#52914yes—
728C2×C4#54114yes—
729C2×C4#54712yes—
730C2×C4#54812yes—
731C2×C4#55714yes—
732C2×C4#55714yes—
733C2×C4C23×Q811yescharacteristic
734C2×C4C22×#4111yescharacteristic
735C2×C4C22×#4111yescharacteristic
736C2×C4C22×#4111yescharacteristic
737C2×C4C2×2−1+411yescharacteristic
738C2×C4C2×2−1+411yescharacteristic
739C8—24no—
740C8—41no—
741C8—41no—
742C8—42no—
743C8—41no—
744C8—41no—
745C22—22no—
746C22—22no—
747C22—22no—
748C22—22no—
749C22—22no—
750C22—22no—
751C22#245314yes—
752C22C22×C22⋊Q811yescharacteristic
753C22C2×#54711yescharacteristic
754C22C2×#54811yescharacteristic
755C22#358411yescharacteristic
756C22#358411yescharacteristic
757C22#358511yescharacteristic
758C22#358611yescharacteristic
759C4—24no—
760C4—24no—
761C4—44no—
762C4—42no—
763C4—42no—
764C4—42no—
765C4—41no—
766C4—41no—
767C4—42no—
768C4—41no—
769C4—41no—
770C4—42no—
771C4—42no—
772C4—81no—
773C4—82no—
774C4—81no—
775C4—81no—
776C4—82no—
777C4—81no—
778C4—82no—
779C4#245314yes—
780C4C2×#52911yescharacteristic
781C4C2×#54111yescharacteristic
782C4C2×#55711yescharacteristic
783C4C2×#55711yescharacteristic
784C2—24no—
785C2C2×#245311yescharacteristic
786C2#6049611yescharacteristic
787C2#6049911yescharacteristic
788C2#6127411yescharacteristic
789C2#6127511yescharacteristic
790C2#6133111yescharacteristic
791C2#6133611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC24C22×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2296 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
3. #26525C2semidirect
4. #26523C2semidirect
5. #26521C2semidirect
6. #26519C2semidirect
7. #26515C2semidirect
8. #26514C2semidirect
9. #26509C2semidirect
10. #26507C2semidirect

Maximal subgroups

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

subgroupindex
#356272
#342722
#265252
#265232
#265212
#265192
#265152
#265142
#265092
#265072
#237482
C2×#21012
#236712
#236702
#213262
#213152
#211752
#211722
#211482
#210362
#210322
#204532