Finite Group Databasebeta

← #7665615

Subgroups — #7665615

Order 512.

5817 conjugacy classes of subgroups.

The subgroup lattice has 1439 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#40169C213yesmaximal, complemented
2#40148C213yesmaximal, complemented
3#40073C213yesmaximal, complemented
4#40056C213yesmaximal, complemented
5#40031C213yesmaximal, complemented
6#40008C213yesmaximal, complemented
7#39935C213yesmaximal, complemented
8#39908C213yesmaximal, complemented
9#39528C213yesmaximal, complemented
10#39408C213yesmaximal, complemented
11#39034C213yesmaximal, complemented
12#39000C213yesmaximal, complemented
13#36578C211yesmaximal, characteristic, complemented
14Q8×#121C211yesmaximal, characteristic, complemented
15#36482C211yesmaximal, characteristic, complemented
16#36467C211yesmaximal, characteristic, complemented
17#36458C211yesmaximal, characteristic, complemented
18#36448C211yesmaximal, characteristic, complemented
19#36446C211yesmaximal, characteristic, complemented
20#36444C211yesmaximal, characteristic, complemented
21#36434C211yesmaximal, characteristic, complemented
22#36431C211yesmaximal, characteristic, complemented
23#36428C211yesmaximal, characteristic, complemented
24#36428C211yesmaximal, characteristic, complemented
25#35086C213yesmaximal, complemented
26#35046C213yesmaximal, complemented
27#35036C213yesmaximal, complemented
28C4×#548C211yesmaximal, characteristic, complemented
29C4×#548C211yesmaximal, characteristic, complemented
30C22⋊C4×#41C211yesmaximal, characteristic, complemented
31C4×#538C213yesmaximal, complemented
32C23×#41C2211yescharacteristic
33C2×#557C2211yescharacteristic, complemented
34C2×D4×Q8C2211yescharacteristic
35C2×D4×Q8C2211yescharacteristic
36C2×D4×Q8C2211yescharacteristic, complemented
37C2×#548C2211yescharacteristic
38C2×#548C2211yescharacteristic
39C2×#548C2211yescharacteristic
40C2×#548C2211yescharacteristic
41C2×#538C2213yes—
42C2×C4×#41C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C22×C4×Q8C2211yescharacteristic, complemented
45C22×C4×Q8C2211yescharacteristic, complemented
46#2863C2213yescomplemented
47#2862C2213yescomplemented
48#2861C2213yescomplemented
49#2860C2213yescomplemented
50#2857C2213yescomplemented
51#2857C2213yescomplemented
52#2855C2213yescomplemented
53#2854C2213yescomplemented
54#2851C2213yescomplemented
55#2850C2213yescomplemented
56#2848C2213yes—
57#2848C2213yes—
58#2781C2216yescomplemented
59#2781C2216yescomplemented
60#2779C2216yescomplemented
61#2778C2216yescomplemented
62#2765C2216yescomplemented
63#2764C2216yescomplemented
64#2750C2216yescomplemented
65#2749C2216yescomplemented
66#2743C2216yescomplemented
67#2741C2216yescomplemented
68#2735C2216yes—
69#2735C2216yes—
70#2702C2216yescomplemented
71#2697C2216yes—
72#2688C2216yescomplemented
73#2684C2216yes—
74#2653C2216yescomplemented
75#2652C2216yes—
76#2652C2216yescomplemented
77#2649C2216yescomplemented
78#2636C2216yescomplemented
79#2630C2216yescomplemented
80#2592C2213yescomplemented
81#2589C2216yescomplemented
82#2587C2216yescomplemented
83#2580C2213yescomplemented
84#2578C2216yescomplemented
85#2576C2216yescomplemented
86#2568C2213yescomplemented
87#2566C2213yescomplemented
88#2562C2213yescomplemented
89#2547C2213yes—
90#2547C2213yescomplemented
91#2546C2213yescomplemented
92#2545C2213yescomplemented
93#2538C2213yes—
94#2537C2213yescomplemented
95#2536C2213yescomplemented
96#2518C2216yescomplemented
97#2518C2216yescomplemented
98#2514C2213yescomplemented
99#2514C2213yescomplemented
100#2513C2213yescomplemented
101#2512C2213yescomplemented
102#2512C2213yescomplemented
103#2511C2213yescomplemented
104#2505C2216yescomplemented
105#2505C2216yescomplemented
106#2504C2213yescomplemented
107#2503C2213yescomplemented
108#2497C2213yescomplemented
109#2496C2213yes—
110#2496C2213yescomplemented
111#2495C2213yes—
112#2495C2213yescomplemented
113#2494C2213yes—
114#2492C2213yescomplemented
115#2491C2213yescomplemented
116#2490C2213yescomplemented
117#2489C2213yes—
118#2489C2213yes—
119#2489C2213yescomplemented
120#2489C2213yescomplemented
121#2489C2213yescomplemented
122#2487C2213yescomplemented
123#2486C2213yes—
124#2480C2216yes—
125#2480C2216yes—
126#2467C2216yescomplemented
127#2459C2216yescomplemented
128#2454C2213yescomplemented
129#2452C2213yescomplemented
130#2448C2213yescomplemented
131#2448C2213yescomplemented
132#2446C2213yescomplemented
133#2446C2213yescomplemented
134#2441C2213yescomplemented
135#2439C2213yescomplemented
136#2435C2213yes—
137#2435C2213yes—
138#2432C2213yes—
139#2432C2213yes—
140#2432C2213yes—
141#2432C2213yes—
142#2429C2213yes—
143#2429C2213yescomplemented
144#2429C2213yescomplemented
145#2427C2213yescomplemented
146#2427C2213yescomplemented
147#2426C2213yescomplemented
148#2421C2213yes—
149#2421C2213yes—
150#2421C2213yescomplemented
151#2421C2213yescomplemented
152#2417C2213yes—
153#2417C2213yescomplemented
154#2417C2213yescomplemented
155#2416C2213yescomplemented
156#2415C2213yescomplemented
157#2415C2213yescomplemented
158#2408C2213yes—
159#2408C2213yes—
160#2407C2213yes—
161#2407C2213yes—
162#2407C2213yes—
163#2407C2213yes—
164#2367C2213yescomplemented
165#2367C2213yescomplemented
166#2362C2213yescomplemented
167#2362C2213yescomplemented
168#2361C2213yescomplemented
169#2361C2213yescomplemented
170#2352C2213yescomplemented
171#2352C2213yescomplemented
172#2351C2211yescharacteristic, complemented
173#2351C2211yescharacteristic, complemented
174#2351C2211yescharacteristic, complemented
175#2351C2211yescharacteristic, complemented
176Q8×C4⋊C4C2211yescharacteristic, complemented
177Q8×C4⋊C4C2211yescharacteristic, complemented
178#2341C2211yescharacteristic
179#2341C2211yescharacteristic
180#2341C2211yescharacteristic
181#2341C2211yescharacteristic
182#2341C2211yescharacteristic
183#2341C2211yescharacteristic
184Q8×C22⋊C4C2211yescharacteristic
185Q8×C22⋊C4C2211yescharacteristic
186Q8×C22⋊C4C2211yescharacteristic
187Q8×C22⋊C4C2211yescharacteristic
188Q8×C22⋊C4C2211yescharacteristic, complemented
189Q8×C22⋊C4C2211yescharacteristic, complemented
190Q8×C22⋊C4C2211yescharacteristic, complemented
191Q8×C22⋊C4C2211yescharacteristic, complemented
192#2339C2213yes—
193#2339C2213yes—
194D4×C22⋊C4C2213yes—
195D4×C22⋊C4C2213yes—
196#2337C2213yes—
197#2337C2213yescomplemented
198#2335C2213yes—
199#2335C2213yescomplemented
200#2334C2213yes—
201#2334C2216yescomplemented
202#2334C2213yescomplemented
203#2333C2211yescharacteristic
204#2333C2213yescomplemented
205#2329C2213yescomplemented
206#2325C2213yescomplemented
207#2321C2213yes—
208#2321C2213yes—
209#2318C2213yescomplemented
210#2318C2213yescomplemented
211#2312C2213yes—
212C4×#126C2213yes—
213C4×#126C2213yescomplemented
214C4×#124C2213yes—
215C4×#124C2213yescomplemented
216C4×#124C2213yescomplemented
217C4×#124C2213yescomplemented
218C4×C22⋊Q8C2213yescomplemented
219C4×C22⋊Q8C2213yescomplemented
220C4×C22⋊Q8C2213yescomplemented
221C4×#123C2213yes—
222C4×#123C2213yescomplemented
223C4×#121C2213yes—
224C4×#121C2213yescomplemented
225C4×#121C2213yescomplemented
226C4×#121C2213yescomplemented
227C4×#121C2213yescomplemented
228C4×#120C2213yes—
229C4×#120C2213yes—
230#2297C2213yes—
231#2297C2213yes—
232#2280C2213yes—
233C42×Q8C2211yescharacteristic, complemented
234C42×Q8C2211yescharacteristic, complemented
235C42×D4C2213yescomplemented
236C42×D4C2213yescomplemented
237C2×C4×C22⋊C4C2213yes—
238C22×#41—28no—
239C22×#41—44no—
240C22×#41—44no—
241C22×#41C2311yescharacteristic
242C22×#41C2311yescharacteristic
243C22×#41C2313yes—
244C22×#41C2313yes—
245C23×Q8C2311yescharacteristic
246C23×Q8C2311yescharacteristic
247C23×Q8C2311yescharacteristic
248C23×D4C2313yes—
249C24×C4C2313yes—
250#557—44no—
251D4×Q8—44no—
252D4×Q8—44no—
253D4×Q8—44no—
254#548—28no—
255#548—28no—
256#548—44no—
257#548—44no—
258#538—224no—
259C2×C4⋊Q8C2313yes—
260C2×C4⋊Q8C2313yes—
261C2×C4⋊Q8C2313yes—
262C2×C4⋊Q8C2313yes—
263C2×#126C2313yes—
264C2×#126C2313yes—
265C2×#126C2316yes—
266C2×#125C2313yes—
267C2×#125C2313yes—
268C2×#124C2313yes—
269C2×#124C2313yes—
270C2×#124C2313yes—
271C2×#124C2313yes—
272C2×#124C2313yes—
273C2×#124C2313yes—
274C2×#123C2313yes—
275C2×#123C2313yes—
276C2×C22⋊Q8C2313yes—
277C2×C22⋊Q8C2313yes—
278C2×C22⋊Q8C2313yes—
279C2×C22⋊Q8C2313yes—
280C2×C22⋊Q8C2313yes—
281C2×C22⋊Q8C2313yes—
282C2×C22⋊Q8C2313yes—
283C2×C22⋊Q8C2313yes—
284C2×C22⋊Q8C2313yes—
285C2×C22⋊Q8C2313yes—
286C2×C22⋊Q8C2313yes—
287C2×#121C2313yes—
288C2×#121C2313yes—
289C2×#121C2313yes—
290C2×#121C2313yes—
291C2×#121C2313yes—
292C2×#121C2313yes—
293C2×#121C2311yescharacteristic
294C2×#120C2313yes—
295C2×#120C2313yes—
296C4×#41—44no—
297C4×#41—44no—
298C2×C4×Q8—44no—
299C2×C4×Q8—44no—
300C2×C4×Q8C2311yescharacteristic
301C2×C4×Q8C2311yescharacteristic
302C2×C4×Q8C2311yescharacteristic
303C2×C4×Q8C2311yescharacteristic
304C2×C4×Q8C2311yescharacteristic
305C2×C4×Q8C2311yescharacteristic
306C2×C4×Q8C2311yescharacteristic
307C2×C4×Q8C2311yescharacteristic
308C2×C4×Q8C2311yescharacteristic
309C2×C4×Q8C2311yescharacteristic
310C2×C4×Q8C2313yes—
311C2×C4×Q8C2313yes—
312C2×C4×Q8C2313yes—
313C2×C4×Q8C2313yes—
314C2×C4×Q8C2313yes—
315C2×C4×D4C2313yes—
316C2×C4×D4C2313yes—
317C2×C4×D4C2313yes—
318C2×C4×D4C2313yes—
319C2×C4×D4C2313yes—
320C2×C4×D4C2313yes—
321C2×C4×D4C2313yes—
322C2×C4×D4C2313yes—
323C2×C4×D4C2313yes—
324C2×C4×D4C2313yes—
325C2×C4×D4C2313yes—
326C2×C4×D4C2313yes—
327C2×C4×D4C2313yes—
328C2×C4×D4C2313yes—
329C2×C4×D4C2313yes—
330C2×#117C2313yes—
331C2×#117C2313yes—
332C22×C4⋊C4C2313yes—
333C22×C4⋊C4C2313yes—
334C22×C22⋊C4C2313yes—
335C22×C22⋊C4C2313yes—
336C22×C42C2313yes—
337C22×C42C2313yes—
338C22×C42C2313yes—
339C22×C42C2313yes—
340#401C2316yes—
341#400C2316yes—
342#400C2316yes—
343#400C2316yes—
344#400C2316yes—
345#400C2316yes—
346#400C2316yes—
347#400C2316yes—
348#400C2316yes—
349#400C2316yes—
350#399C2316yes—
351#399C2316yes—
352#398C2316yes—
353#398C2316yes—
354#398C2316yes—
355#398C2316yes—
356#397C2316yes—
357#397C2316yes—
358#397C2316yes—
359#397C2316yes—
360#397C2316yes—
361#397C2316yes—
362#397C2316yes—
363#397C2316yes—
364#397C2316yes—
365#397C2316yes—
366#397C2316yes—
367#396C2316yes—
368#396C2316yes—
369#396C2316yes—
370#396C2316yes—
371#396C2316yes—
372#396C2316yes—
373#396C2316yes—
374#394C2316yes—
375#394C2316yes—
376#394C2316yes—
377#394C2316yes—
378#394C2316yes—
379#394C2316yes—
380#394C2316yes—
381#394C2316yes—
382#394C2316yes—
383#394C2316yes—
384#393C2316yes—
385#393C2316yes—
386#392C2316yes—
387#392C2316yes—
388#391C2316yes—
389#391C2313yes—
390#391C2313yes—
391#391C2313yes—
392#391C2313yes—
393#391C2313yes—
394#391C2313yes—
395#391C2313yes—
396#391C2313yes—
397#391C2313yes—
398#391C2313yes—
399#391C2313yes—
400#391C2313yes—
401#391C2313yes—
402#391C2313yes—
403#391C2313yes—
404#391C2313yes—
405#391C2313yes—
406#391C2313yes—
407#391C2313yes—
408#390C2313yes—
409#390C2313yes—
410#390C2311yescharacteristic
411#390C2313yes—
412#390C2313yes—
413#390C2313yes—
414#390C2313yes—
415#390C2313yes—
416#390C2311yescharacteristic
417#390C2313yes—
418#390C2313yes—
419#390C2313yes—
420#390C2313yes—
421#390C2313yes—
422#390C2313yes—
423#390C2313yes—
424#390C2313yes—
425#389C2313yes—
426#389C2313yes—
427#389C2313yes—
428#389C2313yes—
429#389C2313yes—
430#389C2316yes—
431#389C2316yes—
432#389C2313yes—
433#389C2316yes—
434#389C2313yes—
435#389C2313yes—
436#389C2313yes—
437#389C2313yes—
438#389C2313yes—
439#389C2313yes—
440#389C2313yes—
441#389C2313yes—
442#389C2313yes—
443#389C2313yes—
444#388C2311yescharacteristic
445#388C2313yes—
446#388C2313yes—
447#388C2313yes—
448#388C2313yes—
449#388C2313yes—
450#388C2313yes—
451#388C2316yes—
452#388C2313yes—
453#388C2313yes—
454#388C2313yes—
455#388C2313yes—
456#388C2313yes—
457#388C2313yes—
458#388C2311yescharacteristic
459#388C2313yes—
460#388C2313yes—
461#388C2313yes—
462#388C2313yes—
463#388C2316yes—
464#388C2313yes—
465#388C2313yes—
466#388C2313yes—
467#388C2313yes—
468#388C2313yes—
469#388C2316yes—
470#388C2313yes—
471#388C2316yes—
472#388C2316yes—
473#388C2316yes—
474#388C2316yes—
475#388C2316yes—
476#388C2316yes—
477#388C2316yes—
478#388C2316yes—
479#388C2316yes—
480#388C2316yes—
481#388C2316yes—
482#388C2316yes—
483#387C2313yes—
484#387C2313yes—
485#387C2313yes—
486#387C2311yescharacteristic
487#387C2313yes—
488#387C2313yes—
489#387C2313yes—
490#387C2313yes—
491#387C2316yes—
492#387C2316yes—
493#387C2316yes—
494#387C2313yes—
495#387C2313yes—
496#387C2316yes—
497#387C2311yescharacteristic
498#387C2313yes—
499#387C2316yes—
500#387C2316yes—
501#387C2316yes—
502#386C2313yes—
503#386C2313yes—
504#386C2313yes—
505#386C2313yes—
506#386C2313yes—
507#386C2316yes—
508#386C2311yescharacteristic
509#386C2313yes—
510#386C2313yes—
511#386C2313yes—
512#386C2313yes—
513#386C2316yes—
514#386C2311yescharacteristic
515#386C2313yes—
516#386C2311yescharacteristic
517#386C2311yescharacteristic
518#386C2316yes—
519#386C2316yes—
520#386C2316yes—
521#386C2316yes—
522#386C2316yes—
523#386C2316yes—
524#385C2313yes—
525#385C2316yes—
526#385C2313yes—
527#385C2313yes—
528#385C2313yes—
529#385C2316yes—
530#385C2316yes—
531#385C2313yes—
532#385C2313yes—
533#385C2313yes—
534#385C2313yes—
535#385C2313yes—
536#385C2313yes—
537#385C2316yes—
538#385C2316yes—
539#385C2316yes—
540#385C2316yes—
541#385C2316yes—
542#384C2313yes—
543#384C2313yes—
544#383C2313yes—
545#383C2313yes—
546#383C2316yes—
547#382C2313yes—
548#382C2313yes—
549#382C2313yes—
550#382C2316yes—
551#382C2313yes—
552#382C2316yes—
553#382C2313yes—
554#382C2313yes—
555#381C2311yescharacteristic
556#381C2313yes—
557#381C2316yes—
558#381C2316yes—
559#380C2313yes—
560#380C2313yes—
561#380C2313yes—
562#380C2313yes—
563#380C2313yes—
564#380C2313yes—
565#380C2313yes—
566#380C2313yes—
567#380C2316yes—
568#380C2313yes—
569#380C2313yes—
570#380C2313yes—
571#380C2313yes—
572#380C2313yes—
573#380C2313yes—
574#380C2313yes—
575#380C2313yes—
576#380C2313yes—
577#380C2313yes—
578#380C2316yes—
579#380C2316yes—
580#379C2313yes—
581#379C2313yes—
582#379C2316yes—
583#379C2316yes—
584#379C2316yes—
585C4×C4⋊C4C2313yes—
586C4×C4⋊C4C2313yes—
587C4×C4⋊C4C2313yes—
588C4×C4⋊C4C2313yes—
589C4×C4⋊C4C2313yes—
590C4×C4⋊C4C2313yes—
591C4×C4⋊C4C2313yes—
592C4×C4⋊C4C2313yes—
593C4×C4⋊C4C2313yes—
594C4×C4⋊C4C2313yes—
595C4×C4⋊C4C2313yes—
596C4×C4⋊C4C2313yes—
597C4×C4⋊C4C2313yes—
598C4×C4⋊C4C2313yes—
599C4×C4⋊C4C2313yes—
600C4×C4⋊C4C2313yes—
601C4×C22⋊C4C2313yes—
602C4×C22⋊C4C2313yes—
603C4×C22⋊C4C2313yes—
604C4×C22⋊C4C2313yes—
605C4×C22⋊C4C2313yes—
606C4×C22⋊C4C2313yes—
607C4×C22⋊C4C2313yes—
608C4×C22⋊C4C2313yes—
609C4×C22⋊C4C2313yes—
610C4×C22⋊C4C2316yes—
611C4×C22⋊C4C2313yes—
612C4×C22⋊C4C2313yes—
613C4×C22⋊C4C2313yes—
614C4×C22⋊C4C2311yescharacteristic
615C4×C22⋊C4C2311yescharacteristic
616C4×C22⋊C4C2311yescharacteristic
617C4×C22⋊C4C2313yes—
618C4×C22⋊C4C2313yes—
619C4×C22⋊C4C2313yes—
620C4×C22⋊C4C2313yes—
621C4×C22⋊C4C2313yes—
622C4×C22⋊C4C2313yes—
623C4×C22⋊C4C2313yes—
624C4×C22⋊C4C2313yes—
625C4×C22⋊C4C2313yes—
626C4×C22⋊C4C2313yes—
627C4×C22⋊C4C2313yes—
628C4×C22⋊C4C2316yes—
629C4×C22⋊C4C2316yes—
630C2×#95C2313yes—
631C2×#95C2313yes—
632C43C2313yes—
633C43C2313yes—
634C25C2413yes—
635C2×#41—24no—
636C2×#41—24no—
637C2×#41—24no—
638C2×#41—24no—
639C2×#41—24no—
640C2×#41—212no—
641C2×#41—212no—
642C2×#41—46no—
643C2×#41—46no—
644C2×#41—46no—
645C2×#41—46no—
646C2×#41—464no—
647C2×#41#4118yes—
648C22×Q8—24no—
649C22×Q8—24no—
650C22×Q8—24no—
651C22×Q8—24no—
652C22×Q8—24no—
653C22×Q8—24no—
654C22×Q8—24no—
655C22×Q8—24no—
656C22×Q8—24no—
657C22×Q8C2413yes—
658C22×Q8C2413yes—
659C22×Q8C2413yes—
660C22×Q8C2413yes—
661C22×Q8C2411yescharacteristic
662C22×D4—212no—
663C22×D4—46no—
664C22×D4—46no—
665C22×D4C2413yes—
666C22×D4C2413yes—
667C22×D4C2413yes—
668C22×D4C2413yes—
669C22×D4C2413yes—
670C22×D4C2413yes—
671C22×D4C2416yes—
672C22×D4C2411yescharacteristic
673C22×D4C2411yescharacteristic
674C22×D4C2411yescharacteristic
675C23×C4—212no—
676C23×C4—46no—
677C23×C4—46no—
678C23×C4C2413yes—
679C23×C4C2413yes—
680C23×C4C2413yes—
681C23×C4C2413yes—
682C23×C4C2413yes—
683C23×C4C2413yes—
684C23×C4C2413yes—
685C23×C4C2413yes—
686C23×C4C2413yes—
687C23×C4C2411yescharacteristic
688C23×C4C2411yescharacteristic
689C23×C4C2413yes—
690C23×C4C2413yes—
691C23×C4C2413yes—
692C23×C4C2413yes—
693C23×C4C2411yescharacteristic
694C4⋊Q8—46no—
695C4⋊Q8—46no—
696C4⋊Q8—46no—
697C4⋊Q8—46no—
698#126—212no—
699#126—212no—
700#126—412no—
701#125—46no—
702#125—46no—
703#124—212no—
704#124—212no—
705#124—212no—
706#124—212no—
707#124—46no—
708#124—46no—
709#123—212no—
710#123—212no—
711C22⋊Q8—212no—
712C22⋊Q8—212no—
713C22⋊Q8—212no—
714C22⋊Q8—46no—
715C22⋊Q8—46no—
716C22⋊Q8—46no—
717C22⋊Q8—46no—
718C22⋊Q8—46no—
719C22⋊Q8—46no—
720C22⋊Q8—46no—
721C22⋊Q8—46no—
722#121—212no—
723#121—212no—
724#121—212no—
725#121—212no—
726#121—46no—
727#121—46no—
728#121#4118yescomplemented
729#120—212no—
730#120—212no—
731C4×Q8—24no—
732C4×Q8—24no—
733C4×Q8—24no—
734C4×Q8—24no—
735C4×Q8—24no—
736C4×Q8—24no—
737C4×Q8—24no—
738C4×Q8—24no—
739C4×Q8—24no—
740C4×Q8—24no—
741C4×Q8—46no—
742C4×Q8—46no—
743C4×Q8—46no—
744C4×Q8—46no—
745C4×Q8—46no—
746C4×D4—212no—
747C4×D4—212no—
748C4×D4—212no—
749C4×D4—212no—
750C4×D4—46no—
751C4×D4—46no—
752C4×D4—46no—
753C4×D4—46no—
754C4×D4—46no—
755C4×D4—46no—
756C4×D4—46no—
757C4×D4—46no—
758C4×D4—46no—
759C4×D4—46no—
760C4×D4—46no—
761#117—46no—
762#117—46no—
763C2×C4⋊C4—46no—
764C2×C4⋊C4—46no—
765C2×C4⋊C4C2413yes—
766C2×C4⋊C4C2413yes—
767C2×C4⋊C4C2413yes—
768C2×C4⋊C4C2413yes—
769C2×C4⋊C4C2413yes—
770C2×C4⋊C4C2413yes—
771C2×C4⋊C4C2413yes—
772C2×C4⋊C4C2413yes—
773C2×C4⋊C4C2413yes—
774C2×C4⋊C4C2413yes—
775C2×C4⋊C4C2413yes—
776C2×C4⋊C4C2413yes—
777C2×C4⋊C4C2413yes—
778C2×C4⋊C4C2413yes—
779C2×C4⋊C4C2413yes—
780C2×C4⋊C4C2413yes—
781C2×C4⋊C4C2413yes—
782C2×C4⋊C4C2413yes—
783C2×C4⋊C4C2416yes—
784C2×C4⋊C4C2416yes—
785C2×C4⋊C4C2413yes—
786C2×C4⋊C4C2413yes—
787C2×C4⋊C4C2413yes—
788C2×C4⋊C4C2413yes—
789C2×C4⋊C4C2413yes—
790C2×C4⋊C4C2413yes—
791C2×C4⋊C4C2411yescharacteristic
792C2×C4⋊C4C2413yes—
793C2×C4⋊C4C2413yes—
794C2×C4⋊C4C2416yes—
795C2×C4⋊C4C2416yes—
796C2×C4⋊C4C2416yes—
797C2×C4⋊C4C2416yes—
798C2×C4⋊C4C2416yes—
799C2×C4⋊C4C2416yes—
800C2×C4⋊C4C2411yescharacteristic
801C2×C4⋊C4C2413yes—
802C2×C4⋊C4C2413yes—
803C2×C4⋊C4C2413yes—
804C2×C4⋊C4C2411yescharacteristic
805C2×C22⋊C4—212no—
806C2×C22⋊C4—46no—
807C2×C22⋊C4C2411yescharacteristic
808C2×C22⋊C4C2413yes—
809C2×C22⋊C4C2413yes—
810C2×C22⋊C4C2413yes—
811C2×C22⋊C4C2413yes—
812C2×C22⋊C4C2411yescharacteristic
813C2×C22⋊C4C2411yescharacteristic
814C2×C22⋊C4C2411yescharacteristic
815C2×C22⋊C4C2413yes—
816C2×C22⋊C4C2413yes—
817C2×C22⋊C4C2413yes—
818C2×C22⋊C4C2413yes—
819C2×C22⋊C4C2413yes—
820C2×C22⋊C4C2413yes—
821C2×C22⋊C4C2413yes—
822C2×C22⋊C4C2413yes—
823C2×C22⋊C4C2413yes—
824C2×C22⋊C4C2416yes—
825C2×C22⋊C4C2416yes—
826C2×C22⋊C4C2413yes—
827C2×C22⋊C4C2413yes—
828C2×C22⋊C4C2413yes—
829C2×C22⋊C4C2413yes—
830C2×C22⋊C4C2416yes—
831C2×C22⋊C4C2416yes—
832C2×C22⋊C4C2411yescharacteristic
833C2×C22⋊C4C2411yescharacteristic
834C2×C22⋊C4C2413yes—
835C2×C22⋊C4C2413yes—
836C2×C22⋊C4C2413yes—
837C2×C22⋊C4C2413yes—
838C2×C22⋊C4C2413yes—
839C2×C22⋊C4C2413yes—
840C2×C22⋊C4C2413yes—
841C2×C22⋊C4C2413yes—
842C2×C22⋊C4C2413yes—
843C2×C22⋊C4C2413yes—
844C2×C22⋊C4C2413yes—
845C2×C22⋊C4C2416yes—
846C2×C22⋊C4C2416yes—
847C2×C22⋊C4C2416yes—
848C2×C22⋊C4C2416yes—
849C2×C22⋊C4C2411yescharacteristic
850C2×C22⋊C4C2411yescharacteristic
851C2×C22⋊C4C2411yescharacteristic
852C2×C22⋊C4C2411yescharacteristic
853C2×C22⋊C4C2416yes—
854C2×C22⋊C4C2416yes—
855C2×C22⋊C4C2416yes—
856C2×C22⋊C4C2416yes—
857C2×C22⋊C4C2413yes—
858C2×C22⋊C4C2413yes—
859C2×C22⋊C4C2411yescharacteristic
860C2×C22⋊C4C2411yescharacteristic
861C2×C42—46no—
862C2×C42—46no—
863C2×C42—46no—
864C2×C42—46no—
865C2×C42C2413yes—
866C2×C42C2413yes—
867C2×C42C2413yes—
868C2×C42C2413yes—
869C2×C42C2413yes—
870C2×C42C2413yes—
871C2×C42C2413yes—
872C2×C42C2413yes—
873C2×C42C2413yes—
874C2×C42C2413yes—
875C2×C42C2413yes—
876C2×C42C2413yes—
877C2×C42C2413yes—
878C2×C42C2413yes—
879C2×C42C2413yes—
880C2×C42C2413yes—
881C2×C42C2413yes—
882C2×C42C2413yes—
883C2×C42C2413yes—
884C2×C42C2413yes—
885C2×C42C2411yescharacteristic
886C2×C42C2411yescharacteristic
887C2×C42C2413yes—
888C2×C42C2413yes—
889C2×C42C2411yescharacteristic
890C2×C42C2411yescharacteristic
891#95C2411yescharacteristic
892#95C2411yescharacteristic
893#95C2413yes—
894#95C2413yes—
895#95C2413yes—
896#95C2413yes—
897#95C2413yes—
898#95C2413yes—
899#95C2411yescharacteristic
900#95C2411yescharacteristic
901#95C2411yescharacteristic
902#95C2411yescharacteristic
903#95C2411yescharacteristic
904#95C2411yescharacteristic
905#95C2413yes—
906#95C2413yes—
907#95C2413yes—
908#95C2413yes—
909#95C2413yes—
910#95C2413yes—
911#95C2413yes—
912#95C2413yes—
913#95C2416yes—
914#95C2413yes—
915#95C2413yes—
916#95C2413yes—
917#95C2413yes—
918#95C2416yes—
919#95C2416yes—
920#95C2413yes—
921#95C2416yes—
922#95C2413yes—
923#95C2416yes—
924#95C2413yes—
925#95C2413yes—
926#95C2416yes—
927#95C2413yes—
928#95C2413yes—
929#95C2411yescharacteristic
930#95C2411yescharacteristic
931#95C2416yes—
932#95C2416yes—
933#95C2413yes—
934#95C2413yes—
935#95C2413yes—
936#95C2413yes—
937#95C2413yes—
938#95C2413yes—
939#95C2416yes—
940#95C2416yes—
941#95C2416yes—
942#95C2416yes—
943#95C2416yes—
944#95C2416yes—
945C24—26no—
946C24—26no—
947C24—43no—
948C24—43no—
949C24—43no—
950C24—43no—
951C24—43no—
952C24C2513yes—
953C24C2511yescharacteristic
954C24C2513yes—
955C24C2511yescharacteristic
956C24C2511yescharacteristic
957#41—232no—
958#41—448no—
959#41—448no—
960#41—416no—
961C2×Q8—26no—
962C2×Q8—26no—
963C2×Q8—26no—
964C2×Q8—26no—
965C2×Q8—26no—
966C2×Q8—26no—
967C2×Q8—26no—
968C2×Q8—26no—
969C2×Q8—26no—
970C2×Q8—26no—
971C2×Q8—43no—
972C2×Q8—43no—
973C2×Q8—416no—
974C2×Q8—416no—
975C2×Q8—416no—
976C2×Q8C2×#4114yes—
977C2×Q8H(5,𝔽2)14yes—
978C2×Q8H(5,𝔽2)14yes—
979C2×D4—26no—
980C2×D4—26no—
981C2×D4—26no—
982C2×D4—26no—
983C2×D4—212no—
984C2×D4—26no—
985C2×D4—26no—
986C2×D4—26no—
987C2×D4—26no—
988C2×D4—26no—
989C2×D4—26no—
990C2×D4—26no—
991C2×D4—41no—
992C2×D4—41no—
993C2×D4—41no—
994C2×D4—43no—
995C2×D4—43no—
996C2×D4—46no—
997C2×D4—46no—
998C2×D4—41no—
999C2×D4—41no—
1000C2×D4—41no—
1001C2×D4—43no—
1002C2×D4—43no—
1003C2×D4—43no—
1004C2×D4—43no—
1005C2×D4—448no—
1006C2×D4C2×#41112yes—
1007C2×D4C2×#4114yes—
1008C2×D4C2×#4114yes—
1009C2×D4C2×#4114yescomplemented
1010C22×C4—26no—
1011C22×C4—26no—
1012C22×C4—26no—
1013C22×C4—26no—
1014C22×C4—26no—
1015C22×C4—26no—
1016C22×C4—22no—
1017C22×C4—26no—
1018C22×C4—26no—
1019C22×C4—26no—
1020C22×C4—26no—
1021C22×C4—26no—
1022C22×C4—26no—
1023C22×C4—26no—
1024C22×C4—26no—
1025C22×C4—26no—
1026C22×C4—26no—
1027C22×C4—26no—
1028C22×C4—22no—
1029C22×C4—26no—
1030C22×C4—26no—
1031C22×C4—26no—
1032C22×C4—41no—
1033C22×C4—41no—
1034C22×C4—41no—
1035C22×C4—41no—
1036C22×C4—43no—
1037C22×C4—43no—
1038C22×C4—43no—
1039C22×C4—43no—
1040C22×C4—41no—
1041C22×C4—41no—
1042C22×C4—43no—
1043C22×C4—43no—
1044C22×C4—43no—
1045C22×C4—43no—
1046C22×C4—43no—
1047C22×C4—43no—
1048C22×C4—43no—
1049C22×C4—43no—
1050C22×C4—43no—
1051C22×C4—43no—
1052C22×C4—43no—
1053C22×C4—43no—
1054C22×C4—43no—
1055C22×C4—43no—
1056C22×C4—448no—
1057C22×C4C2×#41112yes—
1058C22×C4C2×#4114yescomplemented
1059C22×C4C2511yescharacteristic
1060C22×C4C2513yes—
1061C22×C4C2511yescharacteristic
1062C22×C4C2511yescharacteristic
1063C22×C4C2511yescharacteristic
1064C22×C4C2513yes—
1065C22×C4C2513yes—
1066C22×C4C2513yes—
1067C22×C4C2513yes—
1068C22×C4C2513yes—
1069C22×C4C2513yes—
1070C22×C4C2513yes—
1071C22×C4C2511yescharacteristic
1072C22×C4C2513yes—
1073C22×C4C2513yes—
1074C22×C4C2511yescharacteristic
1075C22×C4C2513yes—
1076C22×C4C2513yes—
1077C22×C4C2513yes—
1078C22×C4C2511yescharacteristic
1079C22×C4C2511yescharacteristic
1080C22×C4C2511yescharacteristic
1081C22×C4C2511yescharacteristic
1082C22×C4C2511yescharacteristic
1083C22×C4C2511yescharacteristic
1084C22×C4C2513yes—
1085C4⋊C4—26no—
1086C4⋊C4—26no—
1087C4⋊C4—26no—
1088C4⋊C4—26no—
1089C4⋊C4—26no—
1090C4⋊C4—26no—
1091C4⋊C4—26no—
1092C4⋊C4—26no—
1093C4⋊C4—26no—
1094C4⋊C4—26no—
1095C4⋊C4—26no—
1096C4⋊C4—26no—
1097C4⋊C4—26no—
1098C4⋊C4—26no—
1099C4⋊C4—26no—
1100C4⋊C4—26no—
1101C4⋊C4—26no—
1102C4⋊C4—26no—
1103C4⋊C4—46no—
1104C4⋊C4—46no—
1105C4⋊C4—43no—
1106C4⋊C4—41no—
1107C4⋊C4—43no—
1108C4⋊C4—43no—
1109C4⋊C4—43no—
1110C4⋊C4—43no—
1111C4⋊C4—43no—
1112C4⋊C4—43no—
1113C4⋊C4—43no—
1114C4⋊C4—43no—
1115C4⋊C4—41no—
1116C4⋊C4—43no—
1117C4⋊C4—43no—
1118C4⋊C4—46no—
1119C4⋊C4—46no—
1120C4⋊C4—46no—
1121C4⋊C4—46no—
1122C4⋊C4—46no—
1123C4⋊C4—46no—
1124C4⋊C4C2×#4114yescomplemented
1125C22⋊C4—26no—
1126C22⋊C4—26no—
1127C22⋊C4—26no—
1128C22⋊C4—26no—
1129C22⋊C4—26no—
1130C22⋊C4—26no—
1131C22⋊C4—212no—
1132C22⋊C4—212no—
1133C22⋊C4—26no—
1134C22⋊C4—26no—
1135C22⋊C4—26no—
1136C22⋊C4—26no—
1137C22⋊C4—22no—
1138C22⋊C4—22no—
1139C22⋊C4—26no—
1140C22⋊C4—26no—
1141C22⋊C4—26no—
1142C22⋊C4—26no—
1143C22⋊C4—22no—
1144C22⋊C4—26no—
1145C22⋊C4—22no—
1146C22⋊C4—43no—
1147C22⋊C4—43no—
1148C22⋊C4—41no—
1149C22⋊C4—41no—
1150C22⋊C4—41no—
1151C22⋊C4—43no—
1152C22⋊C4—41no—
1153C22⋊C4—43no—
1154C22⋊C4—46no—
1155C22⋊C4—46no—
1156C22⋊C4—46no—
1157C22⋊C4—46no—
1158C22⋊C4—46no—
1159C22⋊C4—46no—
1160C22⋊C4—43no—
1161C22⋊C4—43no—
1162C22⋊C4—43no—
1163C22⋊C4—41no—
1164C22⋊C4—41no—
1165C22⋊C4—43no—
1166C22⋊C4—43no—
1167C22⋊C4—43no—
1168C22⋊C4—43no—
1169C22⋊C4—43no—
1170C22⋊C4—43no—
1171C22⋊C4—43no—
1172C22⋊C4—43no—
1173C22⋊C4—46no—
1174C22⋊C4—46no—
1175C22⋊C4—46no—
1176C22⋊C4—46no—
1177C22⋊C4C2×#4114yes—
1178C22⋊C4C2×#4114yescomplemented
1179C42—26no—
1180C42—26no—
1181C42—26no—
1182C42—26no—
1183C42—26no—
1184C42—26no—
1185C42—26no—
1186C42—26no—
1187C42—26no—
1188C42—26no—
1189C42—26no—
1190C42—26no—
1191C42—26no—
1192C42—41no—
1193C42—41no—
1194C42—43no—
1195C42—43no—
1196C42—43no—
1197C42—43no—
1198C42—43no—
1199C42—43no—
1200C42—41no—
1201C42—41no—
1202C42—43no—
1203C42—43no—
1204C42—43no—
1205C23—23no—
1206C23—21no—
1207C23—21no—
1208C23—21no—
1209C23—21no—
1210C23—21no—
1211C23—21no—
1212C23—21no—
1213C23—21no—
1214C23—23no—
1215C23—23no—
1216C23—21no—
1217C23—21no—
1218C23—21no—
1219C23—21no—
1220C23—23no—
1221C23—23no—
1222C23—23no—
1223C23—21no—
1224C23—21no—
1225C23—21no—
1226C23—21no—
1227C23—21no—
1228C23—21no—
1229C23—23no—
1230C23—23no—
1231C23—23no—
1232C23—23no—
1233C23—23no—
1234C23—23no—
1235C23—23no—
1236C23—412no—
1237C23—412no—
1238C23—86no—
1239C23—86no—
1240C23—86no—
1241C23—86no—
1242C23—86no—
1243C23C22×#4112yes—
1244C23C22×#4116yes—
1245C23C22×#4112yes—
1246C23C22×#4112yes—
1247C23C2611yescharacteristic
1248Q8—412no—
1249Q8—412no—
1250Q8—412no—
1251Q8—86no—
1252Q8#538116yescomplemented
1253D4—224no—
1254D4—44no—
1255D4—44no—
1256D4—44no—
1257D4—412no—
1258D4—412no—
1259D4—424no—
1260D4—412no—
1261D4—86no—
1262D4—86no—
1263C2×C4—21no—
1264C2×C4—21no—
1265C2×C4—21no—
1266C2×C4—21no—
1267C2×C4—21no—
1268C2×C4—21no—
1269C2×C4—21no—
1270C2×C4—21no—
1271C2×C4—21no—
1272C2×C4—21no—
1273C2×C4—21no—
1274C2×C4—21no—
1275C2×C4—224no—
1276C2×C4—21no—
1277C2×C4—21no—
1278C2×C4—23no—
1279C2×C4—23no—
1280C2×C4—23no—
1281C2×C4—23no—
1282C2×C4—23no—
1283C2×C4—23no—
1284C2×C4—23no—
1285C2×C4—23no—
1286C2×C4—23no—
1287C2×C4—23no—
1288C2×C4—21no—
1289C2×C4—23no—
1290C2×C4—21no—
1291C2×C4—21no—
1292C2×C4—21no—
1293C2×C4—23no—
1294C2×C4—23no—
1295C2×C4—23no—
1296C2×C4—23no—
1297C2×C4—23no—
1298C2×C4—23no—
1299C2×C4—23no—
1300C2×C4—23no—
1301C2×C4—23no—
1302C2×C4—23no—
1303C2×C4—23no—
1304C2×C4—23no—
1305C2×C4—21no—
1306C2×C4—21no—
1307C2×C4—23no—
1308C2×C4—23no—
1309C2×C4—23no—
1310C2×C4—23no—
1311C2×C4—21no—
1312C2×C4—23no—
1313C2×C4—23no—
1314C2×C4—21no—
1315C2×C4—23no—
1316C2×C4—23no—
1317C2×C4—21no—
1318C2×C4—21no—
1319C2×C4—21no—
1320C2×C4—21no—
1321C2×C4—21no—
1322C2×C4—23no—
1323C2×C4—23no—
1324C2×C4—23no—
1325C2×C4—23no—
1326C2×C4—21no—
1327C2×C4—23no—
1328C2×C4—23no—
1329C2×C4—23no—
1330C2×C4—23no—
1331C2×C4—21no—
1332C2×C4—21no—
1333C2×C4—44no—
1334C2×C4—44no—
1335C2×C4—44no—
1336C2×C4—412no—
1337C2×C4—412no—
1338C2×C4—412no—
1339C2×C4—412no—
1340C2×C4—412no—
1341C2×C4—412no—
1342C2×C4—86no—
1343C2×C4—86no—
1344C2×C4—86no—
1345C2×C4—86no—
1346C2×C4—86no—
1347C2×C4—86no—
1348C2×C4C22×#4112yes—
1349C2×C4C22×#4112yes—
1350C2×C4C22×#4112yes—
1351C2×C4C22×#4112yes—
1352C2×C4C22×#4112yes—
1353C2×C4C22×#4116yes—
1354C2×C4C2×H(5,𝔽2)16yes—
1355C2×C4C2×H(5,𝔽2)16yes—
1356C2×C4#58512yes—
1357C22—22no—
1358C22—22no—
1359C22—22no—
1360C22—22no—
1361C22—22no—
1362C22—22no—
1363C22—26no—
1364C22—26no—
1365C22—22no—
1366C22—22no—
1367C22—26no—
1368C22—22no—
1369C22—43no—
1370C22—43no—
1371C22—41no—
1372C22—41no—
1373C22—41no—
1374C22—41no—
1375C22—41no—
1376C22—43no—
1377C22—41no—
1378C22—43no—
1379C22—41no—
1380C22—41no—
1381C22—41no—
1382C22—41no—
1383C22—41no—
1384C22—41no—
1385C22—43no—
1386C22—43no—
1387C22—43no—
1388C22—43no—
1389C22—43no—
1390C22—43no—
1391C22—43no—
1392C22—824no—
1393C22C23×#4111yescharacteristic
1394C22C23×#4111yescharacteristic
1395C22C22×H(5,𝔽2)11yescharacteristic
1396C22C22×H(5,𝔽2)11yescharacteristic
1397C22C2×#58511yescharacteristic
1398C222−1+611yescharacteristic
1399C222−1+611yescharacteristic
1400C4—22no—
1401C4—22no—
1402C4—22no—
1403C4—22no—
1404C4—22no—
1405C4—22no—
1406C4—43no—
1407C4—43no—
1408C4—43no—
1409C4—43no—
1410C4—41no—
1411C4—41no—
1412C4—41no—
1413C4—43no—
1414C4—43no—
1415C4—41no—
1416C4—43no—
1417C4—43no—
1418C4—41no—
1419C4—41no—
1420C4—43no—
1421C4—43no—
1422C4—43no—
1423C4—43no—
1424C4—43no—
1425C4C2×#538112yes—
1426C2—42no—
1427C2—42no—
1428C2—46no—
1429C2—42no—
1430C2—83no—
1431C2C22×#53811yescharacteristic
1432C2#41211yescharacteristic
1433C2#6286111yescharacteristic
1434C2#6289711yescharacteristic
1435C2#6292211yescharacteristic
1436C2#6298411yescharacteristic
1437C2#6298411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #40169C2semidirect
2. #40148C2semidirect
3. #40073C2semidirect
4. #40056C2semidirect
5. #40031C2semidirect
6. #40008C2semidirect
7. #39935C2semidirect
8. #39908C2semidirect
9. #39528C2semidirect
10. #39408C2semidirect
11. #39034C2semidirect
12. #39000C2semidirect
13. #36578C2semidirect
14. Q8×#121C2semidirect
15. #36482C2semidirect
16. #36467C2semidirect
17. #36458C2semidirect
18. #36448C2semidirect
19. #36446C2semidirect
20. #36444C2semidirect
21. #36434C2semidirect
22. #36431C2semidirect
23. #36428C2semidirect
24. #36428C2semidirect
25. #35086C2semidirect
26. #35046C2semidirect
27. #35036C2semidirect
28. C4×#548C2semidirect
29. C4×#548C2semidirect
30. C22⋊C4×#41C2semidirect
31. C4×#538C2semidirect
33. C2×#557C22semidirect
36. C2×D4×Q8C22semidirect
44. C22×C4×Q8C22semidirect
45. C22×C4×Q8C22semidirect
46. #2863C22semidirect
47. #2862C22semidirect
48. #2861C22semidirect
49. #2860C22semidirect
50. #2857C22semidirect
51. #2857C22semidirect
52. #2855C22semidirect
53. #2854C22semidirect
54. #2851C22semidirect
55. #2850C22semidirect
58. #2781C22semidirect
59. #2781C22semidirect
60. #2779C22semidirect
61. #2778C22semidirect
62. #2765C22semidirect
63. #2764C22semidirect
64. #2750C22semidirect
65. #2749C22semidirect
66. #2743C22semidirect
67. #2741C22semidirect
70. #2702C22semidirect
72. #2688C22semidirect
74. #2653C22semidirect
76. #2652C22semidirect
77. #2649C22semidirect
78. #2636C22semidirect
79. #2630C22semidirect
80. #2592C22semidirect
81. #2589C22semidirect
82. #2587C22semidirect
83. #2580C22semidirect
84. #2578C22semidirect
85. #2576C22semidirect
86. #2568C22semidirect
87. #2566C22semidirect
88. #2562C22semidirect
90. #2547C22semidirect
91. #2546C22semidirect
92. #2545C22semidirect
94. #2537C22semidirect
95. #2536C22semidirect
96. #2518C22semidirect
97. #2518C22semidirect
98. #2514C22semidirect
99. #2514C22semidirect
100. #2513C22semidirect
101. #2512C22semidirect
102. #2512C22semidirect
103. #2511C22semidirect
104. #2505C22semidirect
105. #2505C22semidirect
106. #2504C22semidirect
107. #2503C22semidirect
108. #2497C22semidirect
110. #2496C22semidirect
112. #2495C22semidirect
114. #2492C22semidirect
115. #2491C22semidirect
116. #2490C22semidirect
119. #2489C22semidirect
120. #2489C22semidirect
121. #2489C22semidirect
122. #2487C22semidirect
126. #2467C22semidirect
127. #2459C22semidirect
128. #2454C22semidirect
129. #2452C22semidirect
130. #2448C22semidirect
131. #2448C22semidirect
132. #2446C22semidirect
133. #2446C22semidirect
134. #2441C22semidirect
135. #2439C22semidirect
143. #2429C22semidirect
144. #2429C22semidirect
145. #2427C22semidirect
146. #2427C22semidirect
147. #2426C22semidirect
150. #2421C22semidirect
151. #2421C22semidirect
153. #2417C22semidirect
154. #2417C22semidirect
155. #2416C22semidirect
156. #2415C22semidirect
157. #2415C22semidirect
164. #2367C22semidirect
165. #2367C22semidirect
166. #2362C22semidirect
167. #2362C22semidirect
168. #2361C22semidirect
169. #2361C22semidirect
170. #2352C22semidirect
171. #2352C22semidirect
172. #2351C22semidirect
173. #2351C22semidirect
174. #2351C22semidirect
175. #2351C22semidirect
176. Q8×C4⋊C4C22semidirect
177. Q8×C4⋊C4C22semidirect
188. Q8×C22⋊C4C22semidirect
189. Q8×C22⋊C4C22semidirect
190. Q8×C22⋊C4C22semidirect
191. Q8×C22⋊C4C22semidirect
197. #2337C22semidirect
199. #2335C22semidirect
201. #2334C22semidirect
202. #2334C22semidirect
204. #2333C22semidirect
205. #2329C22semidirect
206. #2325C22semidirect
209. #2318C22semidirect
210. #2318C22semidirect
213. C4×#126C22semidirect
215. C4×#124C22semidirect
216. C4×#124C22semidirect
217. C4×#124C22semidirect
218. C4×C22⋊Q8C22semidirect
219. C4×C22⋊Q8C22semidirect
220. C4×C22⋊Q8C22semidirect
222. C4×#123C22semidirect
224. C4×#121C22semidirect
225. C4×#121C22semidirect
226. C4×#121C22semidirect
227. C4×#121C22semidirect
233. C42×Q8C22semidirect
234. C42×Q8C22semidirect
235. C42×D4C22semidirect
236. C42×D4C22semidirect
728. #121#41semidirect
1009. C2×D4C2×#41semidirect
1058. C22×C4C2×#41semidirect
1124. C4⋊C4C2×#41semidirect
1178. C22⋊C4C2×#41semidirect
1252. Q8#538semidirect

Maximal subgroups

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

subgroupindex
#401692
#401482
#400732
#400562
#400312
#400082
#399352
#399082
#395282
#394082
#390342
#390002
#365782
Q8×#1212
#364822
#364672
#364582
#364482
#364462
#364442
#364342
#364312
#364282
#350862
#350462
#350362
C4×#5482
C22⋊C4×#412
C4×#5382