Finite Group Databasebeta

← #7672190

Subgroups — #7672190

Order 512.

4830 conjugacy classes of subgroups.

The subgroup lattice has 773 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59451C214yesmaximal, complemented
2#59449C218yesmaximal, complemented
3#59435C214yesmaximal, complemented
4#39543C218yesmaximal, complemented
5#38978C214yesmaximal, complemented
6#38972C214yesmaximal, complemented
7#36640C211yesmaximal, characteristic, complemented
8#36403C214yesmaximal, complemented
9#36312C214yesmaximal, complemented
10#36207C218yesmaximal, complemented
11#35679C212yesmaximal
12#35627C212yesmaximal, complemented
13#35266C212yesmaximal
14#35179C211yesmaximal, characteristic, complemented
15#35172C211yesmaximal, characteristic
16#34254C212yesmaximal, complemented
17#34186C211yesmaximal, characteristic
18#34182C211yesmaximal, characteristic, complemented
19C4×#533C211yesmaximal, characteristic, complemented
20C2×C4×#124C211yesmaximal, characteristic
21C2×#533C2211yescharacteristic
22C22×#124C2211yescharacteristic
23C2×#519C2212yes—
24C22×C4×Q8C2211yescharacteristic
25C22×C4×D4C2211yescharacteristic
26#2864C2212yescomplemented
27#2864C2212yescomplemented
28#2860C2218yes—
29#2859C2212yescomplemented
30#2859C2212yescomplemented
31#2855C2214yes—
32#2851C2214yes—
33#2851C2214yes—
34#2848C2214yes—
35#2777C22116yescomplemented
36#2775C22116yescomplemented
37#2773C22116yescomplemented
38#2772C22116yescomplemented
39#2644C2218yes—
40#2627C2214yes—
41#2626C2214yes—
42#2604C22116yescomplemented
43#2596C22116yescomplemented
44#2582C2214yescomplemented
45#2581C2214yescomplemented
46#2580C2214yes—
47#2575C22116yescomplemented
48#2571C2218yescomplemented
49#2570C2218yescomplemented
50#2568C2212yescomplemented
51#2567C2212yescomplemented
52#2566C2214yes—
53#2565C2214yescomplemented
54#2563C2212yes—
55#2542C2212yes—
56#2538C2214yes—
57#2529C22116yescomplemented
58#2519C22116yescomplemented
59#2517C22116yescomplemented
60#2515C22116yescomplemented
61#2513C2218yes—
62#2512C2218yes—
63#2509C2218yescomplemented
64#2508C2218yescomplemented
65#2505C22116yes—
66#2499C2218yescomplemented
67#2496C2218yescomplemented
68#2495C2218yescomplemented
69#2489C2218yescomplemented
70#2482C22116yes—
71#2480C22116yes—
72#2448C2218yes—
73#2448C2218yes—
74#2448C2218yes—
75#2448C2218yes—
76#2441C2218yescomplemented
77#2423C2218yescomplemented
78#2373C22116yescomplemented
79#2362C2218yescomplemented
80#2357C2214yes—
81#2357C2214yes—
82#2356C2218yescomplemented
83#2355C2218yescomplemented
84#2354C2214yes—
85#2354C2214yes—
86#2351C2214yescomplemented
87#2351C2214yescomplemented
88Q8×C4⋊C4C2214yescomplemented
89Q8×C4⋊C4C2214yescomplemented
90#2346C2218yescomplemented
91#2343C22116yes—
92#2320C2218yescomplemented
93#2317C2212yes—
94#2317C2212yes—
95#2316C2212yes—
96#2316C2214yes—
97#2312C2214yes—
98#2310C2212yes—
99#2309C2212yes—
100#2309C2212yes—
101C4×C4⋊Q8C2212yescomplemented
102C4×C4⋊Q8C2212yescomplemented
103C4×#125C2214yescomplemented
104C4×#125C2214yescomplemented
105C4×#125C2214yescomplemented
106C4×#124C2214yes—
107C4×#124C2212yes—
108C4×#124C2214yes—
109C4×#124C2212yes—
110C4×#124C2212yes—
111C4×#124C2212yes—
112C4×C22⋊Q8C2214yes—
113C4×C22⋊Q8C2214yes—
114#2296C2212yes—
115#2296C2212yes—
116#2296C2212yes—
117#2295C2218yescomplemented
118#2295C2212yescomplemented
119#2295C2212yescomplemented
120C2×#391C2211yescharacteristic
121C2×#390C2211yescharacteristic
122C2×#388C2214yes—
123#2285C2211yescharacteristic
124#2285C2211yescharacteristic
125#2285C2214yes—
126#2285C2211yescharacteristic
127C2×#382C2211yescharacteristic
128#2280C2214yes—
129#2274C2212yes—
130C42×Q8C2212yescomplemented
131C42×Q8C2212yescomplemented
132C4×#117C2212yes—
133C2×C4×C22⋊C4C2214yes—
134C2×C43C2211yescharacteristic
135C23×Q8C2311yescharacteristic
136C23×D4C2311yescharacteristic
137C24×C4C2312yes—
138#533—28no—
139C2×C4⋊Q8C2311yescharacteristic
140C2×C4⋊Q8C2311yescharacteristic
141C2×#126C23116yes—
142C2×#125C2312yes—
143C2×#125C2314yes—
144C2×#125C2314yes—
145C2×#124—28no—
146C2×#124C2314yes—
147C2×#124C2312yes—
148C2×#124C2312yes—
149C2×C22⋊Q8C2312yes—
150C2×C22⋊Q8C2312yes—
151C2×C22⋊Q8C2318yes—
152#519—216no—
153C2×C4×Q8—28no—
154C2×C4×Q8C2312yes—
155C2×C4×Q8C2312yes—
156C2×C4×Q8C2318yes—
157C2×C4×Q8C2312yes—
158C2×C4×Q8C2312yes—
159C2×C4×Q8C2312yes—
160C2×C4×Q8C2312yes—
161C2×C4×Q8C2318yes—
162C2×C4×Q8C2314yes—
163C2×C4×Q8C2314yes—
164C2×C4×D4—28no—
165C2×C4×D4C2312yes—
166C2×C4×D4C2312yes—
167C2×C4×D4C2312yes—
168C2×C4×D4C2312yes—
169C2×#117C2312yes—
170C2×#117C2312yes—
171C2×#117C2312yes—
172C2×#117C2312yes—
173C2×#117C2318yes—
174C2×#117C2318yes—
175C22×C4⋊C4C2311yescharacteristic
176C22×C4⋊C4C2312yes—
177C22×C4⋊C4C2311yescharacteristic
178C22×C22⋊C4C2312yes—
179C22×C22⋊C4C2314yes—
180C22×C22⋊C4C2314yes—
181C22×C42C2312yes—
182C22×C42C2311yescharacteristic
183C22×C42C2311yescharacteristic
184C22×C42C2312yes—
185C22×C42C2312yes—
186C22×C42C2311yescharacteristic
187#400C2318yes—
188#400C23116yes—
189#400C23116yes—
190#400C23116yes—
191#399C23116yes—
192#399C2318yes—
193#399C23116yes—
194#398C23116yes—
195#398C23116yes—
196#397C23116yes—
197#397C23116yes—
198#397C23116yes—
199#397C23116yes—
200#397C23116yes—
201#396C23116yes—
202#396C23116yes—
203#395C2318yes—
204#393C2318yes—
205#391C2314yes—
206#391C2314yes—
207#391C2314yes—
208#391C2314yes—
209#391C2318yes—
210#391C2318yes—
211#391C2312yes—
212#391C2314yes—
213#391C2312yes—
214#390C2314yes—
215#390C2314yes—
216#390C2318yes—
217#390C2318yes—
218#390C2318yes—
219#390C2312yes—
220#390C2312yes—
221#390C2314yes—
222#389C2314yes—
223#389C2314yes—
224#389C2314yes—
225#389C2314yes—
226#389C2314yes—
227#389C2314yes—
228#389C2314yes—
229#389C2314yes—
230#389C2318yes—
231#389C2318yes—
232#389C23116yes—
233#389C23116yes—
234#389C2318yes—
235#389C23116yes—
236#389C2318yes—
237#389C2318yes—
238#389C2314yes—
239#389C2314yes—
240#389C2314yes—
241#389C2314yes—
242#388C23116yes—
243#388C23116yes—
244#388C23116yes—
245#388C23116yes—
246#388C2318yes—
247#388C23116yes—
248#388C23116yes—
249#388C23116yes—
250#388C23116yes—
251#388C23116yes—
252#388C2318yes—
253#388C2318yes—
254#388C2318yes—
255#387C2318yes—
256#387C2318yes—
257#387C2318yes—
258#387C2318yes—
259#387C2318yes—
260#387C2318yes—
261#387C23116yes—
262#387C23116yes—
263#387C23116yes—
264#387C23116yes—
265#387C23116yes—
266#387C23116yes—
267#387C23116yes—
268#385C23116yes—
269#385C2318yes—
270#385C2318yes—
271#385C2318yes—
272#385C2318yes—
273#385C2318yes—
274#384C2312yes—
275#384C2314yes—
276#384C2314yes—
277#384C2312yes—
278#384C2312yes—
279#384C2318yes—
280#383C23116yes—
281#382C2312yes—
282#382C2314yes—
283#382C2314yes—
284#382C2314yes—
285#382C2314yes—
286#382C2314yes—
287#382C23116yes—
288#382C2318yes—
289#382C23116yes—
290#382C2312yes—
291#382C2312yes—
292#382C2312yes—
293#382C2312yes—
294#381C2318yes—
295#381C2318yes—
296#380C2318yes—
297#380C2312yes—
298#380C2312yes—
299#380C2312yes—
300#380C2318yes—
301#380C2312yes—
302#380C2312yes—
303#380C2318yes—
304#380C2312yes—
305#379C2318yes—
306#379C2318yes—
307C4×C4⋊C4C2312yes—
308C4×C4⋊C4C2312yes—
309C4×C4⋊C4C2312yes—
310C4×C4⋊C4C2312yes—
311C4×C4⋊C4C2318yes—
312C4×C4⋊C4C2318yes—
313C4×C4⋊C4C2314yes—
314C4×C4⋊C4C2314yes—
315C4×C4⋊C4C2318yes—
316C4×C4⋊C4C2318yes—
317C4×C4⋊C4C2314yes—
318C4×C4⋊C4C2314yes—
319C4×C4⋊C4C2318yes—
320C4×C4⋊C4C2318yes—
321C4×C4⋊C4C23116yes—
322C4×C4⋊C4C2318yes—
323C4×C4⋊C4C2312yes—
324C4×C4⋊C4C2312yes—
325C4×C4⋊C4C2318yes—
326C4×C4⋊C4C2314yes—
327C4×C4⋊C4C2314yes—
328C4×C22⋊C4C2318yes—
329C4×C22⋊C4C2318yes—
330C4×C22⋊C4C2318yes—
331C4×C22⋊C4C2318yes—
332C4×C22⋊C4C2318yes—
333C4×C22⋊C4C2318yes—
334C4×C22⋊C4C2318yes—
335#376C2314yes—
336#376C23116yes—
337C2×#95C2314yes—
338C2×#95C2314yes—
339C43C2312yes—
340C43C2312yes—
341C43C2311yescharacteristic
342C43C2311yescharacteristic
343C43C2314yes—
344C43C2311yescharacteristic
345C43C2311yescharacteristic
346C25C2412yes—
347C22×Q8—24no—
348C22×Q8—24no—
349C22×Q8#4118yes—
350C22×Q8C2412yes—
351C22×Q8C2412yes—
352C22×Q8C2412yes—
353C22×Q8C2412yes—
354C22×D4—24no—
355C22×D4—24no—
356C22×D4—24no—
357C22×D4C2412yes—
358C22×D4C2412yes—
359C23×C4—28no—
360C23×C4—48no—
361C23×C4C2414yes—
362C23×C4C2412yes—
363C23×C4C2412yes—
364C23×C4C2411yescharacteristic
365C23×C4C2412yes—
366C23×C4C2412yes—
367C23×C4C2412yes—
368C23×C4C2414yes—
369C23×C4C2411yescharacteristic
370C23×C4C2411yescharacteristic
371C4⋊Q8—24no—
372C4⋊Q8—24no—
373#126—432no—
374#125—28no—
375#125—48no—
376#125—48no—
377#124—216no—
378#124—28no—
379#124—28no—
380C22⋊Q8—28no—
381C22⋊Q8—28no—
382C22⋊Q8—416no—
383C4×Q8—232no—
384C4×Q8—232no—
385C4×Q8—28no—
386C4×Q8—28no—
387C4×Q8—28no—
388C4×Q8—28no—
389C4×Q8—28no—
390C4×Q8—28no—
391C4×Q8—48no—
392C4×Q8—48no—
393C4×D4—28no—
394C4×D4—28no—
395C4×D4—28no—
396C4×D4—28no—
397#117—232no—
398#117—28no—
399#117—28no—
400#117—28no—
401#117—28no—
402#117—416no—
403C2×C4⋊C4—24no—
404C2×C4⋊C4—28no—
405C2×C4⋊C4—24no—
406C2×C4⋊C4C2412yes—
407C2×C4⋊C4C2412yes—
408C2×C4⋊C4C2412yes—
409C2×C4⋊C4C2412yes—
410C2×C4⋊C4C2414yes—
411C2×C4⋊C4C2414yes—
412C2×C4⋊C4C2414yes—
413C2×C4⋊C4C2414yes—
414C2×C4⋊C4C2414yes—
415C2×C4⋊C4C24116yes—
416C2×C4⋊C4C2414yes—
417C2×C4⋊C4C2412yes—
418C2×C4⋊C4C2412yes—
419C2×C4⋊C4C2414yes—
420C2×C4⋊C4C2414yes—
421C2×C4⋊C4C2414yes—
422C2×C4⋊C4C2412yes—
423C2×C4⋊C4C2412yes—
424C2×C4⋊C4C2414yes—
425C2×C4⋊C4C2418yes—
426C2×C4⋊C4C2414yes—
427C2×C4⋊C4C2418yes—
428C2×C4⋊C4C2418yes—
429C2×C4⋊C4C24116yes—
430C2×C4⋊C4C2414yes—
431C2×C4⋊C4C2414yes—
432C2×C4⋊C4C2418yes—
433C2×C4⋊C4C2418yes—
434C2×C4⋊C4C2418yes—
435C2×C4⋊C4C24116yes—
436C2×C4⋊C4C24116yes—
437C2×C22⋊C4—28no—
438C2×C22⋊C4—216no—
439C2×C22⋊C4—48no—
440C2×C22⋊C4C2414yes—
441C2×C22⋊C4C2414yes—
442C2×C22⋊C4C2418yes—
443C2×C22⋊C4C2418yes—
444C2×C22⋊C4C2418yes—
445C2×C22⋊C4C2414yes—
446C2×C22⋊C4C2414yes—
447C2×C22⋊C4C2414yes—
448C2×C22⋊C4C2414yes—
449C2×C22⋊C4C2418yes—
450C2×C22⋊C4C24116yes—
451C2×C22⋊C4C24116yes—
452C2×C22⋊C4C24116yes—
453C2×C22⋊C4C24116yes—
454C2×C42—28no—
455C2×C42—24no—
456C2×C42—24no—
457C2×C42—44no—
458C2×C42—44no—
459C2×C42#4118yes—
460C2×C42C2414yes—
461C2×C42C2414yes—
462C2×C42C24116yes—
463C2×C42C2414yes—
464C2×C42C2414yes—
465C2×C42C2412yes—
466C2×C42C2412yes—
467C2×C42C2414yes—
468C2×C42C2414yes—
469C2×C42C2418yes—
470C2×C42C2412yes—
471C2×C42C2411yescharacteristic
472C2×C42C2411yescharacteristic
473C2×C42C2412yes—
474C2×C42C2412yes—
475C2×C42C2411yescharacteristic
476C2×C42C2411yescharacteristic
477C2×C42C2412yes—
478C2×C42C24116yes—
479C2×C42C2418yes—
480C2×C42C2412yes—
481C2×C42C2412yes—
482C2×C42C2412yes—
483C2×C42C2412yes—
484C2×C42C2411yescharacteristic
485C2×C42C2411yescharacteristic
486C2×C42C2411yescharacteristic
487C2×C42C2411yescharacteristic
488#95C2418yes—
489#95C2418yes—
490#95C2418yes—
491#95C2418yes—
492#95C2418yes—
493#95C2418yes—
494#95C2418yes—
495#95C24116yes—
496#95C24116yes—
497#95C2414yes—
498#95C2414yes—
499#95C24116yes—
500#95C2414yes—
501#95C2414yes—
502#95C2418yes—
503#95C2418yes—
504#95C24116yes—
505#95C2414yes—
506#95C2414yes—
507#95C24116yes—
508#95C2418yes—
509#95C2418yes—
510#95C2418yes—
511#95C24116yes—
512C24—24no—
513C24—24no—
514C24—24no—
515C24—44no—
516C24—44no—
517C24C2514yes—
518C24C2511yescharacteristic
519C2×Q8—232no—
520C2×Q8—24no—
521C2×Q8—24no—
522C2×Q8—24no—
523C2×Q8—24no—
524C2×Q8—24no—
525C2×Q8—24no—
526C2×Q8—28no—
527C2×Q8—44no—
528C2×Q8C2×#4118yes—
529C2×Q8C2×#4118yes—
530C2×D4—24no—
531C2×D4—24no—
532C2×D4—24no—
533C2×D4—24no—
534C2×D4—24no—
535C2×D4—24no—
536C2×D4—416no—
537C22×C4—24no—
538C22×C4—24no—
539C22×C4—24no—
540C22×C4—24no—
541C22×C4—24no—
542C22×C4—24no—
543C22×C4—24no—
544C22×C4—28no—
545C22×C4—24no—
546C22×C4—216no—
547C22×C4—28no—
548C22×C4—42no—
549C22×C4—42no—
550C22×C4—42no—
551C22×C4—42no—
552C22×C4—44no—
553C22×C4—48no—
554C22×C4—44no—
555C22×C4—816no—
556C22×C4C2×#4114yes—
557C22×C4C2×#4118yes—
558C22×C4C2×#4114yes—
559C22×C4C2×#4114yes—
560C22×C4C2×#4114yes—
561C22×C42−1+414yes—
562C22×C4C2512yes—
563C22×C4C2514yes—
564C22×C4C2518yes—
565C22×C4C2512yes—
566C22×C4C2512yes—
567C22×C4C2514yes—
568C22×C4C2514yes—
569C22×C4C2514yes—
570C22×C4C2518yes—
571C22×C4C2518yes—
572C22×C4C2511yescharacteristic
573C22×C4C2514yes—
574C22×C4C2511yescharacteristic
575C22×C4C2511yescharacteristic
576C22×C4C2512yes—
577C22×C4C2511yescharacteristic
578C22×C4C2511yescharacteristic
579C22×C4C2511yescharacteristic
580C4⋊C4—24no—
581C4⋊C4—24no—
582C4⋊C4—28no—
583C4⋊C4—28no—
584C4⋊C4—24no—
585C4⋊C4—24no—
586C4⋊C4—232no—
587C4⋊C4—28no—
588C4⋊C4—28no—
589C4⋊C4—24no—
590C4⋊C4—24no—
591C4⋊C4—28no—
592C4⋊C4—28no—
593C4⋊C4—24no—
594C4⋊C4—24no—
595C4⋊C4—28no—
596C4⋊C4—28no—
597C4⋊C4—28no—
598C4⋊C4—28no—
599C4⋊C4—216no—
600C4⋊C4—44no—
601C4⋊C4—48no—
602C4⋊C4—48no—
603C4⋊C4—416no—
604C4⋊C4—44no—
605C4⋊C4—44no—
606C4⋊C4—48no—
607C4⋊C4—48no—
608C4⋊C4—48no—
609C4⋊C4—416no—
610C4⋊C4—416no—
611C22⋊C4—28no—
612C22⋊C4—28no—
613C22⋊C4—28no—
614C22⋊C4—28no—
615C22⋊C4—28no—
616C22⋊C4—28no—
617C22⋊C4—216no—
618C22⋊C4—216no—
619C22⋊C4—216no—
620C22⋊C4—48no—
621C22⋊C4—416no—
622C22⋊C4—416no—
623C22⋊C4—416no—
624C22⋊C4—416no—
625C42—28no—
626C42—28no—
627C42—24no—
628C42—22no—
629C42—22no—
630C42—232no—
631C42—28no—
632C42—28no—
633C42—28no—
634C42—22no—
635C42—24no—
636C42—22no—
637C42—28no—
638C42—24no—
639C42—24no—
640C42—24no—
641C42—24no—
642C42—216no—
643C42—42no—
644C42—42no—
645C42—42no—
646C42—42no—
647C42—416no—
648C42—48no—
649C42C2×#4114yes—
650C42C2×#4114yes—
651C42C2×#4114yes—
652C42C2×#4114yes—
653C23—22no—
654C23—22no—
655C23—24no—
656C23—24no—
657C23—24no—
658C23—28no—
659C23—28no—
660C23—416no—
661C23—48no—
662C23—84no—
663C23—84no—
664C23—88no—
665C23C22×#4112yes—
666C23C22×#4112yes—
667C23C2×2−1+412yes—
668C23C2611yescharacteristic
669Q8—216no—
670Q8—216no—
671Q8—48no—
672Q8—48no—
673D4—48no—
674D4—48no—
675C2×C4—24no—
676C2×C4—22no—
677C2×C4—24no—
678C2×C4—22no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—216no—
683C2×C4—28no—
684C2×C4—28no—
685C2×C4—28no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—24no—
689C2×C4—24no—
690C2×C4—24no—
691C2×C4—24no—
692C2×C4—22no—
693C2×C4—28no—
694C2×C4—22no—
695C2×C4—22no—
696C2×C4—22no—
697C2×C4—22no—
698C2×C4—22no—
699C2×C4—28no—
700C2×C4—28no—
701C2×C4—28no—
702C2×C4—22no—
703C2×C4—28no—
704C2×C4—28no—
705C2×C4—28no—
706C2×C4—28no—
707C2×C4—28no—
708C2×C4—28no—
709C2×C4—28no—
710C2×C4—44no—
711C2×C4—48no—
712C2×C4—48no—
713C2×C4—416no—
714C2×C4—88no—
715C2×C4—84no—
716C2×C4—84no—
717C2×C4#552116yes—
718C2×C4C22×#4112yes—
719C2×C4C22×#4118yes—
720C2×C4C22×#4112yes—
721C2×C4C22×#4112yes—
722C2×C4C22×#4112yes—
723C2×C4C22×#4112yes—
724C2×C4C22×#4112yes—
725C2×C4C22×#4112yes—
726C2×C4C22×#4112yes—
727C2×C4C2×2−1+412yes—
728C2×C4C2×2−1+412yes—
729C2×C4#58514yes—
730C2×C4#58514yes—
731C22—24no—
732C22—22no—
733C22—22no—
734C22—24no—
735C22—48no—
736C22—44no—
737C22—44no—
738C22—48no—
739C22—44no—
740C22—816no—
741C22C2×#55214yes—
742C22C23×#4111yescharacteristic
743C22C23×#4111yescharacteristic
744C22C22×2−1+411yescharacteristic
745C22C2×#58512yes—
746C22C2×#58512yes—
747C4—22no—
748C4—22no—
749C4—22no—
750C4—24no—
751C4—28no—
752C4—48no—
753C4—48no—
754C4—42no—
755C4—42no—
756C4—44no—
757C4—44no—
758C4—44no—
759C4—44no—
760C4—48no—
761C4—42no—
762C4C2×#55214yes—
763C4C2×#55214yes—
764C4#351014yes—
765C2—24no—
766C2—84no—
767C2C22×#55211yescharacteristic
768C2#6279312yes—
769C2C2×#351011yescharacteristic
770C2#6281511yescharacteristic
771C2#6283112yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC23×D4C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59451C2semidirect
2. #59449C2semidirect
3. #59435C2semidirect
4. #39543C2semidirect
5. #38978C2semidirect
6. #38972C2semidirect
7. #36640C2semidirect
8. #36403C2semidirect
9. #36312C2semidirect
10. #36207C2semidirect
12. #35627C2semidirect
14. #35179C2semidirect
16. #34254C2semidirect
18. #34182C2semidirect
19. C4×#533C2semidirect
26. #2864C22semidirect
27. #2864C22semidirect
29. #2859C22semidirect
30. #2859C22semidirect
35. #2777C22semidirect
36. #2775C22semidirect
37. #2773C22semidirect
38. #2772C22semidirect
42. #2604C22semidirect
43. #2596C22semidirect
44. #2582C22semidirect
45. #2581C22semidirect
47. #2575C22semidirect
48. #2571C22semidirect
49. #2570C22semidirect
50. #2568C22semidirect
51. #2567C22semidirect
53. #2565C22semidirect
57. #2529C22semidirect
58. #2519C22semidirect
59. #2517C22semidirect
60. #2515C22semidirect
63. #2509C22semidirect
64. #2508C22semidirect
66. #2499C22semidirect
67. #2496C22semidirect
68. #2495C22semidirect
69. #2489C22semidirect
76. #2441C22semidirect
77. #2423C22semidirect
78. #2373C22semidirect
79. #2362C22semidirect
82. #2356C22semidirect
83. #2355C22semidirect
86. #2351C22semidirect
87. #2351C22semidirect
88. Q8×C4⋊C4C22semidirect
89. Q8×C4⋊C4C22semidirect
90. #2346C22semidirect
92. #2320C22semidirect
101. C4×C4⋊Q8C22semidirect
102. C4×C4⋊Q8C22semidirect
103. C4×#125C22semidirect
104. C4×#125C22semidirect
105. C4×#125C22semidirect
117. #2295C22semidirect
118. #2295C22semidirect
119. #2295C22semidirect
130. C42×Q8C22semidirect
131. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#594512
#594492
#594352
#395432
#389782
#389722
#366402
#364032
#363122
#362072
#356792
#356272
#352662
#351792
#351722
#342542
#341862
#341822
C4×#5332
C2×C4×#1242