Finite Group Databasebeta

← #7644262

Subgroups — #7644262

Order 512.

6682 conjugacy classes of subgroups.

The subgroup lattice has 1874 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3522C211yesmaximal, characteristic, complemented
2C2×#3516C211yesmaximal, characteristic, complemented
3#42890C211yesmaximal, characteristic, complemented
4#42889C211yesmaximal, characteristic, complemented
5#42886C211yesmaximal, characteristic, complemented
6#42885C211yesmaximal, characteristic, complemented
7#42883C212yesmaximal, complemented
8#42814C211yesmaximal, characteristic, complemented
9#42813C211yesmaximal, characteristic, complemented
10#42810C211yesmaximal, characteristic, complemented
11#42809C211yesmaximal, characteristic, complemented
12#42806C212yesmaximal, complemented
13#42477C212yesmaximal, complemented
14#42476C212yesmaximal, complemented
15#41992C212yesmaximal, complemented
16#41991C212yesmaximal, complemented
17#41988C212yesmaximal, complemented
18#41987C212yesmaximal, complemented
19#40599C214yesmaximal, complemented
20#40598C214yesmaximal, complemented
21#37559C212yesmaximal, complemented
22#37558C212yesmaximal, complemented
23#37550C212yesmaximal, complemented
24#37541C212yesmaximal, complemented
25#37193C214yesmaximal, complemented
26#37192C214yesmaximal, complemented
27#35675C212yesmaximal, complemented
28#35625C212yesmaximal, complemented
29#35539C212yesmaximal, complemented
30#35539C212yesmaximal, complemented
31#35212C211yesmaximal, characteristic, complemented
32#35191C211yesmaximal, characteristic, complemented
33#34643C211yesmaximal, characteristic, complemented
34#34624C211yesmaximal, characteristic, complemented
35#34059C211yesmaximal, characteristic, complemented
36#3522—216no—
37#3516—216no—
38C2×#559C2212yes—
39C2×#559C2211yescharacteristic
40C2×Q82C2211yescharacteristic
41C2×#557C2211yescharacteristic
42C2×#556C2212yes—
43C2×#556C2211yescharacteristic
44C2×#554C2212yes—
45C2×#554C2211yescharacteristic
46C2×#554C2212yes—
47C2×#554C2211yescharacteristic
48C2×#553C2212yes—
49C2×#553C2211yescharacteristic
50C2×#552C2212yes—
51C2×#552C2211yescharacteristic
52C2×#550C2211yescharacteristic
53C2×D4×Q8C2211yescharacteristic
54C2×#548C2212yes—
55C2×#548C2211yescharacteristic
56C2×#548C2211yescharacteristic
57C2×#547C2214yes—
58C2×#547C2212yes—
59C2×#542C2212yes—
60C2×#542C2211yescharacteristic
61C2×#542C2214yes—
62C2×#542C2212yes—
63C2×#541C2211yescharacteristic
64C2×#541C2212yes—
65C2×#532C2211yescharacteristic
66C2×#532C2212yes—
67C2×#529C2211yescharacteristic
68C2×#529C2211yescharacteristic
69C2×#529C2212yes—
70C2×#529C2212yes—
71C2×#529C2211yescharacteristic
72C2×#529C2212yes—
73C2×#520C2212yes—
74C2×#520C2211yescharacteristic
75C2×#519C2211yescharacteristic
76C22×C4×Q8C2211yescharacteristic
77#2861C2212yes—
78#2860C2214yes—
79#2858C2212yes—
80#2822C2212yes—
81#2821C2212yes—
82#2821C2212yes—
83#2820C2212yes—
84#2820C2212yes—
85#2819C2212yes—
86#2818C2212yes—
87#2818C2212yes—
88#2816C2214yes—
89#2815C2214yes—
90#2814C2214yes—
91#2813C2214yes—
92#2733C2214yes—
93#2732C2214yes—
94#2731C2214yes—
95#2730C2214yes—
96#2730C2214yes—
97#2730C2214yes—
98#2729C2214yes—
99#2728C2214yes—
100#2716C2214yes—
101#2714C2214yes—
102#2713C2214yes—
103#2711C2214yes—
104#2707C2214yes—
105#2705C2214yes—
106#2704C2214yes—
107#2702C2214yes—
108#2696C2214yes—
109#2694C2214yes—
110#2692C2214yes—
111#2690C2214yes—
112#2683C2214yes—
113#2682C2214yes—
114#2681C2214yes—
115#2681C2214yes—
116#2677C2214yes—
117#2677C2214yes—
118#2676C2214yes—
119#2676C2214yes—
120#2674C2214yes—
121#2674C2214yes—
122#2673C2214yes—
123#2673C2214yes—
124#2664C2211yescharacteristic
125#2664C2211yescharacteristic
126#2664C2212yes—
127#2663C2212yes—
128#2663C2211yescharacteristic
129#2663C2211yescharacteristic
130#2663C2212yes—
131#2662C2211yescharacteristic
132#2662C2211yescharacteristic
133#2662C2214yes—
134#2662C2212yes—
135#2661C2212yes—
136#2661C2212yes—
137#2661C2212yes—
138#2661C2211yescharacteristic
139#2661C2211yescharacteristic
140#2661C2212yes—
141#2661C2212yes—
142#2661C2212yes—
143#2660C2211yescharacteristic
144#2657C2211yescharacteristic
145#2641C2211yescharacteristic
146#2640C2211yescharacteristic
147#2638C2214yes—
148#2637C2212yes—
149#2637C2212yes—
150#2636C2212yes—
151#2636C2212yes—
152#2635C2214yes—
153#2635C2214yes—
154#2635C2214yes—
155#2634C2212yes—
156#2633C2212yes—
157#2633C2212yes—
158#2633C2212yes—
159#2632C2212yes—
160#2631C2212yes—
161#2631C2212yes—
162#2631C2212yes—
163#2630C2214yes—
164#2630C2214yes—
165#2621C2212yes—
166#2621C2212yes—
167#2620C2212yes—
168#2619C2212yes—
169#2619C2212yes—
170#2619C2212yes—
171#2616C2214yes—
172#2615C2214yes—
173#2611C2212yes—
174#2611C2214yes—
175#2610C2212yes—
176#2610C2214yes—
177#2610C2214yes—
178#2610C2214yes—
179#2604C2214yes—
180#2603C2212yes—
181#2603C2212yes—
182#2603C2214yes—
183#2603C2214yes—
184#2603C2214yes—
185#2602C2214yes—
186#2601C2214yes—
187#2601C2214yes—
188#2601C2214yes—
189#2601C2214yes—
190#2600C2214yes—
191#2600C2214yes—
192#2599C2212yes—
193#2599C2212yes—
194#2598C2212yes—
195#2598C2212yes—
196#2592C2211yescharacteristic
197#2592C2214yes—
198#2584C2211yescharacteristic
199#2562C2214yes—
200#2562C2211yescharacteristic
201#2548C2211yescharacteristic
202#2547C2211yescharacteristic
203#2546C2211yescharacteristic
204#2541C2211yescharacteristic
205#2540C2211yescharacteristic
206#2540C2214yes—
207#2540C2214yes—
208#2536C2212yes—
209#2536C2212yes—
210#2535C2212yes—
211#2535C2212yes—
212#2481C2214yes—
213#2477C2214yes—
214#2473C2214yes—
215#2471C2214yes—
216#2467C2214yes—
217#2465C2214yes—
218#2463C2214yes—
219#2463C2214yes—
220#2460C2214yes—
221#2458C2214yes—
222#2456C2214yes—
223#2456C2214yes—
224#2454C2212yes—
225#2452C2212yes—
226#2452C2212yes—
227#2451C2212yes—
228#2449C2214yes—
229#2449C2214yes—
230#2448C2212yes—
231#2448C2212yes—
232#2448C2212yes—
233#2446C2212yes—
234#2443C2214yes—
235#2443C2214yes—
236#2442C2212yes—
237#2440C2212yes—
238#2440C2212yes—
239#2439C2212yes—
240#2436C2212yes—
241#2432C2212yes—
242#2432C2212yes—
243#2431C2212yes—
244#2431C2212yes—
245#2431C2212yes—
246#2428C2212yes—
247#2428C2212yes—
248#2427C2212yes—
249#2426C2212yes—
250#2423C2212yes—
251#2423C2212yes—
252#2421C2212yes—
253#2421C2212yes—
254#2417C2212yes—
255#2416C2212yes—
256#2416C2212yes—
257#2415C2212yes—
258#2414C2212yes—
259#2414C2212yes—
260#2414C2212yes—
261#2414C2212yes—
262#2409C2212yes—
263#2407C2212yes—
264#2407C2212yes—
265#2407C2212yes—
266#2407C2214yes—
267#2407C2214yes—
268#2399C2211yescharacteristic
269#2398C2211yescharacteristic
270#2398C2211yescharacteristic
271#2397C2211yescharacteristic
272#2392C2212yes—
273#2392C2212yes—
274#2392C2212yes—
275#2392C2212yes—
276#2388C2214yes—
277#2324C2212yes—
278#2324C2212yes—
279#2324C2212yes—
280#2323C2212yes—
281#2320C2212yes—
282#2320C2212yes—
283#2320C2211yescharacteristic
284#2320C2211yescharacteristic
285#2320C2211yescharacteristic
286#2320C2211yescharacteristic
287#2316C2212yes—
288#2313C2214yes—
289#2310C2212yes—
290C4×#127C2212yes—
291C4×#124C2212yes—
292#2295C2212yes—
293#2295C2214yes—
294#2295C2212yes—
295#2293C2212yes—
296#2293C2212yes—
297#2283C2212yes—
298#2283C2212yes—
299C4×#117C2211yescharacteristic
300C4×#117C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2314yes—
304C22×#41C2312yes—
305C23×Q8C2311yescharacteristic
306C23×Q8C2311yescharacteristic
307#559—28no—
308#559—216no—
309Q82—28no—
310#557—28no—
311#556—28no—
312#556—216no—
313#554—28no—
314#554—216no—
315#554—216no—
316#554—28no—
317#553—216no—
318#553—28no—
319#552—28no—
320#552—216no—
321#550—28no—
322D4×Q8—28no—
323#548—28no—
324#548—216no—
325#548—28no—
326#547—232no—
327#547—216no—
328#542—28no—
329#542—216no—
330#542—216no—
331#542—232no—
332#541—28no—
333#541—216no—
334#532—28no—
335#532—216no—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2314yes—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345C2×#127C2312yes—
346C2×#127C2311yescharacteristic
347C2×#127C2312yes—
348C2×#127C2312yes—
349#529—28no—
350#529—216no—
351#529—28no—
352#529—216no—
353#529—28no—
354#529—216no—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2314yes—
360C2×#126C2311yescharacteristic
361C2×#126C2311yescharacteristic
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#126C2312yes—
367C2×#125C2312yes—
368C2×#125C2311yescharacteristic
369C2×#125C2312yes—
370C2×#125C2312yes—
371C2×#125C2311yescharacteristic
372C2×#125C2311yescharacteristic
373C2×#125C2312yes—
374C2×#125C2311yescharacteristic
375C2×#125C2312yes—
376C2×#125C2312yes—
377C2×#125C2312yes—
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2314yes—
381C2×#124C2311yescharacteristic
382C2×#124C2311yescharacteristic
383C2×#124C2312yes—
384C2×#124C2311yescharacteristic
385C2×#124C2312yes—
386C2×#124C2311yescharacteristic
387C2×#124C2312yes—
388C2×#124C2312yes—
389C2×#124C2314yes—
390C2×#124C2312yes—
391C2×#124C2312yes—
392C2×#124C2312yes—
393C2×#123C2312yes—
394C2×#123C2314yes—
395C2×#123C2311yescharacteristic
396C2×#123C2312yes—
397C2×#123C2311yescharacteristic
398C2×#123C2312yes—
399C2×#123C2314yes—
400C2×#123C2312yes—
401C2×#123C2314yes—
402C2×#123C2314yes—
403C2×#123C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2314yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2314yes—
420C2×C22⋊Q8C2314yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2314yes—
425C2×C22⋊Q8C2314yes—
426C2×C22⋊Q8C2314yes—
427C2×C22⋊Q8C2314yes—
428C2×#121C2314yes—
429C2×#121C2312yes—
430C2×#121C2311yescharacteristic
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2311yescharacteristic
435C2×#121C2311yescharacteristic
436C2×#121C2312yes—
437C2×#121C2311yescharacteristic
438C2×#121C2312yes—
439C2×#121C2314yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2314yes—
444C2×#121C2314yes—
445C2×#121C2314yes—
446C2×#121C2314yes—
447#520—28no—
448#520—216no—
449#519—28no—
450C2×C4×Q8D4116yescomplemented
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2312yes—
470C2×C4×D4C2314yes—
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2314yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2312yes—
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2314yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2314yes—
495C2×C4×D4C2314yes—
496C2×#117C2312yes—
497C2×#117C2311yescharacteristic
498C2×#117C2311yescharacteristic
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2314yes—
504C2×#117C2312yes—
505C2×#117C2311yescharacteristic
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C22×C4⋊C4C2311yescharacteristic
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2314yes—
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2312yes—
514C22×C4⋊C4C2311yescharacteristic
515C22×C42C2311yescharacteristic
516C22×C42C2312yes—
517#400C2314yes—
518#400C2314yes—
519#400C2312yes—
520#400C2311yescharacteristic
521#400C2314yes—
522#400C2314yes—
523#400C2311yescharacteristic
524#400C2312yes—
525#399C2314yes—
526#399C2314yes—
527#399C2311yescharacteristic
528#399C2312yes—
529#399C2314yes—
530#399C2314yes—
531#399C2314yes—
532#399C2314yes—
533#399C2311yescharacteristic
534#399C2312yes—
535#398C2314yes—
536#398C2314yes—
537#398C2311yescharacteristic
538#398C2312yes—
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2314yes—
543#398C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2314yes—
548#398C2311yescharacteristic
549#398C2312yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#397C2312yes—
554#397C2312yes—
555#397C2314yes—
556#397C2311yescharacteristic
557#397C2312yes—
558#397C2312yes—
559#397C2314yes—
560#397C2314yes—
561#397C2312yes—
562#397C2314yes—
563#397C2314yes—
564#397C2314yes—
565#397C2314yes—
566#397C2311yescharacteristic
567#397C2312yes—
568#397C2312yes—
569#397C2312yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2312yes—
581#396C2312yes—
582#396C2312yes—
583#396C2312yes—
584#395C2311yescharacteristic
585#395C2312yes—
586#395C2314yes—
587#395C2314yes—
588#395C2314yes—
589#395C2314yes—
590#395C2311yescharacteristic
591#395C2314yes—
592#395C2312yes—
593#394C2312yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2312yes—
600#394C2314yes—
601#394C2314yes—
602#394C2311yescharacteristic
603#394C2312yes—
604#394C2312yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2312yes—
610#394C2314yes—
611#394C2312yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2312yes—
618#394C2314yes—
619#394C2311yescharacteristic
620#394C2312yes—
621#394C2314yes—
622#394C2314yes—
623#394C2312yes—
624#394C2314yes—
625#394C2312yes—
626#394C2312yes—
627#394C2312yes—
628#393C2314yes—
629#393C2314yes—
630#393C2311yescharacteristic
631#393C2312yes—
632#393C2314yes—
633#393C2314yes—
634#393C2314yes—
635#393C2314yes—
636#393C2311yescharacteristic
637#393C2314yes—
638#393C2312yes—
639#392C2311yescharacteristic
640#392C2312yes—
641#392C2312yes—
642#392C2314yes—
643#392C2314yes—
644#392C2312yes—
645#392C2314yes—
646#392C2314yes—
647#392C2312yes—
648#392C2314yes—
649#392C2314yes—
650#392C2314yes—
651#392C2314yes—
652#392C2314yes—
653#392C2314yes—
654#392C2314yes—
655#392C2312yes—
656#392C2314yes—
657#392C2311yescharacteristic
658#392C2312yes—
659#392C2314yes—
660#392C2314yes—
661#392C2314yes—
662#392C2314yes—
663#392C2312yes—
664#392C2312yes—
665#391C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2314yes—
670#391C2314yes—
671#391C2312yes—
672#391C2314yes—
673#391C2314yes—
674#391C2312yes—
675#391C2312yes—
676#391C2312yes—
677#390C2314yes—
678#390C2314yes—
679#390C2312yes—
680#390C2312yes—
681#390C2312yes—
682#390C2314yes—
683#390C2314yes—
684#390C2314yes—
685#390C2312yes—
686#390C2312yes—
687#390C2314yes—
688#390C2314yes—
689#390C2314yes—
690#390C2314yes—
691#390C2314yes—
692#390C2312yes—
693#390C2314yes—
694#390C2312yes—
695#390C2312yes—
696#390C2312yes—
697#390C2312yes—
698#390C2312yes—
699#390C2312yes—
700#389C2312yes—
701#389C2312yes—
702#389C2314yes—
703#389C2312yes—
704#389C2314yes—
705#389C2312yes—
706#389C2312yes—
707#389C2314yes—
708#389C2312yes—
709#389C2312yes—
710#389C2312yes—
711#389C2314yes—
712#389C2312yes—
713#389C2312yes—
714#389C2314yes—
715#389C2312yes—
716#389C2312yes—
717#388C2312yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2312yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2312yes—
737#388C2312yes—
738#388C2314yes—
739#388C2314yes—
740#388C2314yes—
741#388C2314yes—
742#388C2314yes—
743#388C2314yes—
744#388C2314yes—
745#388C2314yes—
746#388C2312yes—
747#388C2312yes—
748#388C2312yes—
749#388C2312yes—
750#387C2314yes—
751#387C2314yes—
752#387C2314yes—
753#387C2314yes—
754#387C2314yes—
755#387C2314yes—
756#387C2314yes—
757#387C2314yes—
758#387C2314yes—
759#387C2314yes—
760#387C2314yes—
761#387C2314yes—
762#387C2314yes—
763#387C2314yes—
764#387C2314yes—
765#387C2314yes—
766#387C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#386C2314yes—
776#386C2314yes—
777#386C2314yes—
778#386C2314yes—
779#386C2314yes—
780#386C2314yes—
781#386C2314yes—
782#386C2314yes—
783#386C2314yes—
784#386C2314yes—
785#386C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#385C2314yes—
794#385C2314yes—
795#385C2314yes—
796#385C2314yes—
797#385C2314yes—
798#385C2314yes—
799#385C2314yes—
800#385C2314yes—
801#384C2312yes—
802#383C2312yes—
803#383C2312yes—
804#383C2312yes—
805#383C2312yes—
806#382C2312yes—
807#382C2312yes—
808#382C2312yes—
809#382C2312yes—
810#382C2312yes—
811#381C2314yes—
812#381C2314yes—
813#380C2312yes—
814#380C2312yes—
815#380C2314yes—
816#380C2314yes—
817#380C2314yes—
818#380C2314yes—
819#380C2314yes—
820#380C2314yes—
821#380C2312yes—
822#380C2312yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2311yescharacteristic
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2314yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843C4×C22⋊C4C2312yes—
844#376C2312yes—
845#376C2311yescharacteristic
846#376C2311yescharacteristic
847#376C2314yes—
848#376C2314yes—
849C43C2312yes—
850C43C2312yes—
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—216no—
854C2×#41—28no—
855C2×#41—44no—
856C2×#41—44no—
857C2×#41—44no—
858C2×#41—82no—
859C2×#41—82no—
860C2×#41—84no—
861C2×#41—84no—
862C22×Q8—24no—
863C22×Q8—44no—
864C22×Q8—44no—
865C22×Q8C2×D418yes—
866C22×Q8C2411yescharacteristic
867C22×Q8C2411yescharacteristic
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2412yes—
872C22×Q8C2411yescharacteristic
873C22×Q8C2414yes—
874C22×Q8C2412yes—
875C22×Q8C2412yes—
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2411yescharacteristic
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2414yes—
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C22×D4C2414yes—
888C22×D4C2412yes—
889C22×D4C2414yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C23×C4C2412yes—
899C23×C4C2411yescharacteristic
900C23×C4C2411yescharacteristic
901C23×C4C2411yescharacteristic
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2412yes—
905C23×C4C2414yes—
906C23×C4C2412yes—
907C23×C4C2414yes—
908C23×C4C2414yes—
909C23×C4C2414yes—
910C23×C4C2412yes—
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2411yescharacteristic
915C4⋊Q8—24no—
916C4⋊Q8—28no—
917C4⋊Q8—28no—
918C4⋊Q8—216no—
919C4⋊Q8—24no—
920C4⋊Q8—28no—
921C4⋊Q8—28no—
922C4⋊Q8—24no—
923C4⋊Q8—82no—
924#127—28no—
925#127—24no—
926#127—44no—
927#127—82no—
928#126—28no—
929#126—28no—
930#126—28no—
931#126—28no—
932#126—28no—
933#126—28no—
934#126—216no—
935#126—28no—
936#126—24no—
937#126—28no—
938#126—24no—
939#126—28no—
940#125—28no—
941#125—28no—
942#125—28no—
943#125—24no—
944#125—28no—
945#125—28no—
946#125—24no—
947#125—28no—
948#125—24no—
949#125—24no—
950#125—28no—
951#124—24no—
952#124—28no—
953#124—28no—
954#124—216no—
955#124—28no—
956#124—24no—
957#124—28no—
958#124—24no—
959#124—24no—
960#124—28no—
961#124—216no—
962#124—28no—
963#124—44no—
964#124—82no—
965#124—82no—
966#123—24no—
967#123—28no—
968#123—24no—
969#123—28no—
970#123—216no—
971#123—216no—
972#123—216no—
973#123—216no—
974#123—28no—
975#123—28no—
976#123—28no—
977C22⋊Q8—24no—
978C22⋊Q8—28no—
979C22⋊Q8—28no—
980C22⋊Q8—216no—
981C22⋊Q8—24no—
982C22⋊Q8—28no—
983C22⋊Q8—24no—
984C22⋊Q8—24no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—24no—
988C22⋊Q8—24no—
989C22⋊Q8—28no—
990C22⋊Q8—216no—
991C22⋊Q8—216no—
992C22⋊Q8—216no—
993C22⋊Q8—28no—
994C22⋊Q8—28no—
995C22⋊Q8—28no—
996C22⋊Q8—44no—
997C22⋊Q8—84no—
998C22⋊Q8—84no—
999C22⋊Q8—84no—
1000C22⋊Q8—84no—
1001#121—28no—
1002#121—24no—
1003#121—24no—
1004#121—28no—
1005#121—28no—
1006#121—24no—
1007#121—28no—
1008#121—216no—
1009#121—28no—
1010#121—216no—
1011#121—24no—
1012#121—28no—
1013#121—44no—
1014#121—44no—
1015#121—44no—
1016#121—84no—
1017#121—84no—
1018#121—84no—
1019#121—84no—
1020C4×Q8—24no—
1021C4×Q8—28no—
1022C4×Q8—24no—
1023C4×Q8—24no—
1024C4×Q8—28no—
1025C4×Q8—24no—
1026C4×Q8—28no—
1027C4×Q8—28no—
1028C4×Q8—24no—
1029C4×Q8—28no—
1030C4×Q8—24no—
1031C4×Q8C2×D418yes—
1032C4×Q8C2×D418yes—
1033C4×Q8C2×D4116yes—
1034C4×Q8C2×D418yes—
1035C4×Q8C2×D418yes—
1036C4×Q8C2×D4116yes—
1037C4×D4—28no—
1038C4×D4—216no—
1039C4×D4—24no—
1040C4×D4—28no—
1041C4×D4—24no—
1042C4×D4—28no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—28no—
1047C4×D4—216no—
1048C4×D4—24no—
1049C4×D4—28no—
1050C4×D4—24no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—216no—
1054C4×D4—28no—
1055C4×D4—24no—
1056C4×D4—28no—
1057C4×D4—24no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—28no—
1061C4×D4—44no—
1062C4×D4—44no—
1063C4×D4—84no—
1064C4×D4—84no—
1065#117—24no—
1066#117—28no—
1067#117—24no—
1068#117—28no—
1069#117—24no—
1070#117—28no—
1071#117—28no—
1072#117—216no—
1073#117—28no—
1074#117—28no—
1075#117—28no—
1076#117—44no—
1077#117—44no—
1078C2×C4⋊C4—28no—
1079C2×C4⋊C4—216no—
1080C2×C4⋊C4—24no—
1081C2×C4⋊C4—28no—
1082C2×C4⋊C4C2×D418yes—
1083C2×C4⋊C4C2×D4116yes—
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2411yescharacteristic
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2411yescharacteristic
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2411yescharacteristic
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2411yescharacteristic
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2411yescharacteristic
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C42C2×D418yes—
1225C2×C42C2×D4116yes—
1226C2×C42C2412yes—
1227C2×C42C2412yes—
1228C2×C42C2412yes—
1229C2×C42C2412yes—
1230C2×C42C2414yes—
1231C2×C42C2411yescharacteristic
1232C2×C42C2412yes—
1233C2×C42C2412yes—
1234C2×C42C2411yescharacteristic
1235C2×C42C2412yes—
1236C2×C42C2412yes—
1237C2×C42C2414yes—
1238C2×C42C2412yes—
1239C2×C42C2412yes—
1240C2×C42C2412yes—
1241C2×C42C2412yes—
1242C2×C42C2412yes—
1243C2×C42C2412yes—
1244C2×C42C2414yes—
1245C2×C42C2411yescharacteristic
1246C2×C42C2411yescharacteristic
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2412yes—
1250C2×C42C2412yes—
1251C2×C42C2411yescharacteristic
1252C2×C42C2411yescharacteristic
1253#95C2412yes—
1254#95C2411yescharacteristic
1255#95C2411yescharacteristic
1256#95C2412yes—
1257#95C2411yescharacteristic
1258#95C2411yescharacteristic
1259#95C2414yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2414yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2412yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300C24C2511yescharacteristic
1301C24C2511yescharacteristic
1302C24C2512yes—
1303C24C2512yes—
1304C24C2514yes—
1305C24C2511yescharacteristic
1306#41—416no—
1307#41—432no—
1308#41—816no—
1309#41—832no—
1310C2×Q8—22no—
1311C2×Q8—24no—
1312C2×Q8—22no—
1313C2×Q8—24no—
1314C2×Q8—22no—
1315C2×Q8—28no—
1316C2×Q8—24no—
1317C2×Q8—24no—
1318C2×Q8—24no—
1319C2×Q8—24no—
1320C2×Q8—44no—
1321C2×Q8—44no—
1322C2×Q8—42no—
1323C2×Q8—42no—
1324C2×Q8—42no—
1325C2×Q8—44no—
1326C2×Q8—44no—
1327C2×Q8—41no—
1328C2×Q8—42no—
1329C2×Q8—41no—
1330C2×Q8—42no—
1331C2×Q8—416no—
1332C2×Q8—416no—
1333C2×Q8C22×D414yes—
1334C2×Q8C22×D414yes—
1335C2×Q8C22×D418yes—
1336C2×D4—22no—
1337C2×D4—24no—
1338C2×D4—22no—
1339C2×D4—24no—
1340C2×D4—28no—
1341C2×D4—24no—
1342C2×D4—22no—
1343C2×D4—24no—
1344C2×D4—22no—
1345C2×D4—28no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—22no—
1349C2×D4—28no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—24no—
1354C2×D4—42no—
1355C2×D4—44no—
1356C2×D4—42no—
1357C2×D4—44no—
1358C2×D4—42no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—42no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—41no—
1377C2×D4—42no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—41no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C22×C4—24no—
1396C22×C4—28no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—22no—
1400C22×C4—24no—
1401C22×C4—22no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—24no—
1405C22×C4—24no—
1406C22×C4—24no—
1407C22×C4—24no—
1408C22×C4—24no—
1409C22×C4—28no—
1410C22×C4—28no—
1411C22×C4—28no—
1412C22×C4—42no—
1413C22×C4—44no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—41no—
1419C22×C4—41no—
1420C22×C4—42no—
1421C22×C4—42no—
1422C22×C4—42no—
1423C22×C4—42no—
1424C22×C4—44no—
1425C22×C4—44no—
1426C22×C4—42no—
1427C22×C4—42no—
1428C22×C4—44no—
1429C22×C4—44no—
1430C22×C4—42no—
1431C22×C4—42no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4C22×D414yes—
1435C22×C4C22×D414yes—
1436C22×C4C22×D414yes—
1437C22×C4C22×D418yes—
1438C22×C4C22×D418yes—
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2514yes—
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2514yes—
1445C22×C4C2512yes—
1446C22×C4C2512yes—
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2512yes—
1451C22×C4C2512yes—
1452C22×C4C2514yes—
1453C22×C4C2512yes—
1454C22×C4C2511yescharacteristic
1455C22×C4C2511yescharacteristic
1456C22×C4C2511yescharacteristic
1457C22×C4C2512yes—
1458C22×C4C2511yescharacteristic
1459C22×C4C2512yes—
1460C22×C4C2512yes—
1461C22×C4C2511yescharacteristic
1462C22×C4C2511yescharacteristic
1463C22×C4C2512yes—
1464C22×C4C2512yes—
1465C22×C4C2511yescharacteristic
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C4⋊C4—24no—
1469C4⋊C4—28no—
1470C4⋊C4—22no—
1471C4⋊C4—24no—
1472C4⋊C4—28no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—22no—
1476C4⋊C4—24no—
1477C4⋊C4—22no—
1478C4⋊C4—22no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—22no—
1482C4⋊C4—22no—
1483C4⋊C4—24no—
1484C4⋊C4—22no—
1485C4⋊C4—24no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—22no—
1490C4⋊C4—24no—
1491C4⋊C4—22no—
1492C4⋊C4—28no—
1493C4⋊C4—24no—
1494C4⋊C4—24no—
1495C4⋊C4—22no—
1496C4⋊C4—24no—
1497C4⋊C4—22no—
1498C4⋊C4—24no—
1499C4⋊C4—24no—
1500C4⋊C4—24no—
1501C4⋊C4—24no—
1502C4⋊C4—22no—
1503C4⋊C4—22no—
1504C4⋊C4—24no—
1505C4⋊C4—22no—
1506C4⋊C4—28no—
1507C4⋊C4—24no—
1508C4⋊C4—24no—
1509C4⋊C4—24no—
1510C4⋊C4—42no—
1511C4⋊C4—42no—
1512C4⋊C4—44no—
1513C4⋊C4—42no—
1514C4⋊C4—42no—
1515C4⋊C4—42no—
1516C4⋊C4—42no—
1517C4⋊C4—44no—
1518C4⋊C4—44no—
1519C4⋊C4—44no—
1520C4⋊C4—44no—
1521C4⋊C4—44no—
1522C4⋊C4—44no—
1523C4⋊C4—44no—
1524C4⋊C4—42no—
1525C4⋊C4—42no—
1526C4⋊C4—44no—
1527C4⋊C4—44no—
1528C4⋊C4—44no—
1529C4⋊C4C22×D414yes—
1530C4⋊C4C22×D418yes—
1531C4⋊C4C22×D414yes—
1532C4⋊C4C22×D418yes—
1533C4⋊C4C22×D418yes—
1534C4⋊C4C22×D418yes—
1535C4⋊C4C22×D418yes—
1536C22⋊C4—22no—
1537C22⋊C4—24no—
1538C22⋊C4—22no—
1539C22⋊C4—24no—
1540C22⋊C4—22no—
1541C22⋊C4—24no—
1542C22⋊C4—22no—
1543C22⋊C4—22no—
1544C22⋊C4—24no—
1545C22⋊C4—24no—
1546C22⋊C4—28no—
1547C22⋊C4—22no—
1548C22⋊C4—24no—
1549C22⋊C4—24no—
1550C22⋊C4—28no—
1551C22⋊C4—22no—
1552C22⋊C4—24no—
1553C22⋊C4—24no—
1554C22⋊C4—24no—
1555C22⋊C4—24no—
1556C22⋊C4—22no—
1557C22⋊C4—28no—
1558C22⋊C4—24no—
1559C22⋊C4—28no—
1560C22⋊C4—28no—
1561C22⋊C4—28no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—22no—
1567C22⋊C4—24no—
1568C22⋊C4—22no—
1569C22⋊C4—28no—
1570C22⋊C4—24no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—44no—
1578C22⋊C4—42no—
1579C22⋊C4—42no—
1580C22⋊C4—44no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—44no—
1584C22⋊C4—42no—
1585C22⋊C4—42no—
1586C22⋊C4—42no—
1587C22⋊C4—42no—
1588C22⋊C4—44no—
1589C22⋊C4—44no—
1590C22⋊C4—44no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—44no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—44no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C42—24no—
1609C42—24no—
1610C42—24no—
1611C42—28no—
1612C42—24no—
1613C42—24no—
1614C42—22no—
1615C42—24no—
1616C42—22no—
1617C42—24no—
1618C42—24no—
1619C42—42no—
1620C42—42no—
1621C42—44no—
1622C42—44no—
1623C42—42no—
1624C42—42no—
1625C42—42no—
1626C42—42no—
1627C42C22×D414yes—
1628C42C22×D418yes—
1629C42C22×D414yes—
1630C42C22×D418yes—
1631C42C22×D418yes—
1632C42C22×D418yes—
1633C42C22×D414yes—
1634C42C22×D414yes—
1635C23—22no—
1636C23—21no—
1637C23—21no—
1638C23—22no—
1639C23—21no—
1640C23—22no—
1641C23—21no—
1642C23—22no—
1643C23—24no—
1644C23—22no—
1645C23—24no—
1646C23—22no—
1647C23—22no—
1648C23—22no—
1649C23—24no—
1650C23—24no—
1651C23—21no—
1652C23—22no—
1653C23—21no—
1654C23—22no—
1655C23—24no—
1656C23—22no—
1657C23—21no—
1658C23—24no—
1659C23—22no—
1660C23—21no—
1661C23—22no—
1662C23—24no—
1663C23—24no—
1664C23—22no—
1665C23—24no—
1666C23—22no—
1667C23—22no—
1668C23C23×D412yes—
1669C23C2611yescharacteristic
1670Q8—28no—
1671Q8—28no—
1672Q8—48no—
1673Q8—44no—
1674Q8—48no—
1675Q8—44no—
1676Q8—84no—
1677Q8—82no—
1678Q8—88no—
1679Q8—84no—
1680D4—44no—
1681D4—48no—
1682D4—416no—
1683D4—48no—
1684D4—44no—
1685D4—48no—
1686D4—44no—
1687D4—48no—
1688D4—416no—
1689D4—44no—
1690D4—48no—
1691D4—84no—
1692D4—82no—
1693D4—88no—
1694D4—84no—
1695D4—84no—
1696D4—88no—
1697D4—84no—
1698D4—88no—
1699D4—164no—
1700D4—164no—
1701D4—164no—
1702C2×C4—22no—
1703C2×C4—24no—
1704C2×C4—24no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—28no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—24no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—24no—
1734C2×C4—24no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—24no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—24no—
1743C2×C4—22no—
1744C2×C4—24no—
1745C2×C4—22no—
1746C2×C4—21no—
1747C2×C4—22no—
1748C2×C4—21no—
1749C2×C4—22no—
1750C2×C4—24no—
1751C2×C4—22no—
1752C2×C4—21no—
1753C2×C4—24no—
1754C2×C4—22no—
1755C2×C4—21no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—24no—
1759C2×C4—22no—
1760C2×C4—24no—
1761C2×C4—22no—
1762C2×C4—24no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—44no—
1768C2×C4—48no—
1769C2×C4—44no—
1770C2×C4—48no—
1771C2×C4—48no—
1772C2×C4—416no—
1773C2×C4—48no—
1774C2×C4—44no—
1775C2×C4—48no—
1776C2×C4—44no—
1777C2×C4—84no—
1778C2×C4—84no—
1779C2×C4—84no—
1780C2×C4—88no—
1781C2×C4—88no—
1782C2×C4—88no—
1783C2×C4C23×D414yes—
1784C2×C4C23×D414yes—
1785C2×C4C23×D412yes—
1786C2×C4C23×D414yes—
1787C2×C4C23×D412yes—
1788C2×C4C23×D412yes—
1789C2×C4C23×D412yes—
1790C2×C4C23×D414yes—
1791C2×C4C23×D412yes—
1792C2×C4C23×D412yes—
1793C2×C4#58514yes—
1794C22—22no—
1795C22—22no—
1796C22—22no—
1797C22—42no—
1798C22—42no—
1799C22—42no—
1800C22—44no—
1801C22—41no—
1802C22—42no—
1803C22—41no—
1804C22—44no—
1805C22—42no—
1806C22—41no—
1807C22—42no—
1808C22—41no—
1809C22—42no—
1810C22—44no—
1811C22—42no—
1812C22—44no—
1813C22—42no—
1814C22—44no—
1815C22—42no—
1816C22—42no—
1817C22—44no—
1818C22—42no—
1819C22—44no—
1820C22—42no—
1821C22—44no—
1822C22—42no—
1823C22—41no—
1824C22—42no—
1825C22—44no—
1826C22—41no—
1827C22—42no—
1828C22C24×D411yescharacteristic
1829C22C2×#58512yes—
1830C22H(7,𝔽2)11yescharacteristic
1831C22H(7,𝔽2)11yescharacteristic
1832C222−1+612yes—
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—24no—
1837C4—24no—
1838C4—22no—
1839C4—22no—
1840C4—24no—
1841C4—24no—
1842C4—42no—
1843C4—41no—
1844C4—41no—
1845C4—42no—
1846C4—42no—
1847C4—44no—
1848C4—41no—
1849C4—42no—
1850C4—41no—
1851C4—42no—
1852C4—42no—
1853C4—44no—
1854C4—42no—
1855C4—42no—
1856C4—44no—
1857C4—42no—
1858C4—41no—
1859C4—41no—
1860C4—42no—
1861C4#344914yes—
1862C2—42no—
1863C2—84no—
1864C2—82no—
1865C2—81no—
1866C2—82no—
1867C2—81no—
1868C2C2×#344911yescharacteristic
1869C2#6284811yescharacteristic
1870C2#6285211yescharacteristic
1871C2#6288212yes—
1872C2#6288412yes—
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. C2×#3522C2semidirect
2. C2×#3516C2semidirect
3. #42890C2semidirect
4. #42889C2semidirect
5. #42886C2semidirect
6. #42885C2semidirect
7. #42883C2semidirect
8. #42814C2semidirect
9. #42813C2semidirect
10. #42810C2semidirect
11. #42809C2semidirect
12. #42806C2semidirect
13. #42477C2semidirect
14. #42476C2semidirect
15. #41992C2semidirect
16. #41991C2semidirect
17. #41988C2semidirect
18. #41987C2semidirect
19. #40599C2semidirect
20. #40598C2semidirect
21. #37559C2semidirect
22. #37558C2semidirect
23. #37550C2semidirect
24. #37541C2semidirect
25. #37193C2semidirect
26. #37192C2semidirect
27. #35675C2semidirect
28. #35625C2semidirect
29. #35539C2semidirect
30. #35539C2semidirect
31. #35212C2semidirect
32. #35191C2semidirect
33. #34643C2semidirect
34. #34624C2semidirect
35. #34059C2semidirect
450. C2×C4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35222
C2×#35162
#428902
#428892
#428862
#428852
#428832
#428142
#428132
#428102
#428092
#428062
#424772
#424762
#419922
#419912
#419882
#419872
#405992
#405982
#375592
#375582
#375502
#375412
#371932
#371922
#356752
#356252
#355392
#352122
#351912
#346432
#346242
#340592