Finite Group Databasebeta

← #7647339

Subgroups — #7647339

Order 512.

7000 conjugacy classes of subgroups.

The subgroup lattice has 1928 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3483C211yesmaximal, characteristic, complemented
2C2×#3455C211yesmaximal, characteristic, complemented
3#42880C211yesmaximal, characteristic, complemented
4#42876C211yesmaximal, characteristic, complemented
5#42793C211yesmaximal, characteristic, complemented
6#42789C211yesmaximal, characteristic, complemented
7#42650C211yesmaximal, characteristic, complemented
8#42646C211yesmaximal, characteristic, complemented
9#42429C211yesmaximal, characteristic, complemented
10#42425C211yesmaximal, characteristic, complemented
11#41385C212yesmaximal, complemented
12#41381C212yesmaximal, complemented
13#40505C212yesmaximal, complemented
14#40501C212yesmaximal, complemented
15#39891C212yesmaximal, complemented
16#39886C212yesmaximal, complemented
17#39865C212yesmaximal, complemented
18#39861C212yesmaximal, complemented
19#38385C214yesmaximal, complemented
20#38381C214yesmaximal, complemented
21#37556C212yesmaximal, complemented
22#37544C212yesmaximal, complemented
23#37235C214yesmaximal, complemented
24#37234C214yesmaximal, complemented
25#35607C212yesmaximal, complemented
26#35571C212yesmaximal, complemented
27#35342C212yesmaximal, complemented
28#35301C211yesmaximal, characteristic, complemented
29#35205C212yesmaximal, complemented
30#35195C212yesmaximal, complemented
31#35190C211yesmaximal, characteristic, complemented
32#35144C212yesmaximal, complemented
33#34909C211yesmaximal, characteristic, complemented
34#34875C211yesmaximal, characteristic, complemented
35#34195C211yesmaximal, characteristic, complemented
36#3483—216no—
37C2×Q82C2211yescharacteristic, complemented
38C2×#555C2212yes—
39C2×#555C2212yes—
40C2×#555C2211yescharacteristic, complemented
41C2×#555C2214yescomplemented
42C2×#550C2212yes—
43C2×#550C2212yes—
44C2×#550C2211yescharacteristic, complemented
45C2×#550C2211yescharacteristic, complemented
46#3455—216no—
47C2×#542C2211yescharacteristic
48C2×#542C2211yescharacteristic
49C2×#542C2211yescharacteristic
50C2×#542C2211yescharacteristic
51C2×#541C2211yescharacteristic
52C2×#541C2211yescharacteristic
53C2×#540C2211yescharacteristic
54C2×#540C2211yescharacteristic
55C2×#539C2212yes—
56C2×#539C2212yes—
57C2×#538C2212yes—
58C2×#538C2212yes—
59C2×#533C2211yescharacteristic
60C2×#532C2214yes—
61C2×#532C2211yescharacteristic
62C2×#532C2211yescharacteristic
63C2×#532C2212yescomplemented
64C2×#532C2212yescomplemented
65C2×#529C2212yes—
66C2×#529C2212yes—
67C2×#529C2212yes—
68C2×#529C2212yes—
69C2×#525C2211yescharacteristic
70C2×#525C2211yescharacteristic
71C2×C4×#41C2211yescharacteristic
72C2×C4×#41C2211yescharacteristic
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2212yescomplemented
75C2×C4×#41C2212yescomplemented
76C22×#117C2211yescharacteristic
77#2854C2212yes—
78#2852C2214yes—
79#2852C2214yescomplemented
80#2851C2214yescomplemented
81#2850C2214yes—
82#2850C2214yescomplemented
83#2847C2212yes—
84#2821C2212yes—
85#2821C2212yescomplemented
86#2818C2212yes—
87#2818C2212yescomplemented
88#2813C2212yes—
89#2813C2212yes—
90#2813C2212yescomplemented
91#2813C2212yescomplemented
92#2716C2214yes—
93#2715C2214yescomplemented
94#2714C2214yes—
95#2713C2214yescomplemented
96#2712C2214yes—
97#2711C2214yescomplemented
98#2710C2214yes—
99#2709C2214yes—
100#2708C2214yes—
101#2703C2214yes—
102#2700C2214yes—
103#2691C2214yescomplemented
104#2688C2214yes—
105#2681C2214yes—
106#2677C2214yescomplemented
107#2676C2214yes—
108#2676C2214yes—
109#2676C2214yescomplemented
110#2675C2214yes—
111#2674C2214yes—
112#2674C2214yes—
113#2673C2214yes—
114#2673C2214yes—
115#2673C2214yes—
116#2672C2214yes—
117#2672C2214yescomplemented
118#2671C2214yes—
119#2671C2214yescomplemented
120#2670C2214yes—
121#2669C2214yes—
122#2669C2214yes—
123#2668C2214yes—
124#2658C2212yes—
125#2657C2212yes—
126#2656C2212yes—
127#2656C2212yes—
128#2642C2212yescomplemented
129#2641C2212yescomplemented
130#2639C2212yescomplemented
131#2639C2212yescomplemented
132#2636C2214yes—
133#2636C2214yescomplemented
134#2635C2212yes—
135#2635C2212yes—
136#2635C2214yes—
137#2635C2214yescomplemented
138#2634C2212yescomplemented
139#2633C2212yescomplemented
140#2633C2214yescomplemented
141#2632C2212yes—
142#2632C2214yescomplemented
143#2631C2212yes—
144#2631C2214yes—
145#2631C2214yes—
146#2628C2211yescharacteristic
147#2628C2211yescharacteristic
148#2625C2212yescomplemented
149#2624C2212yes—
150#2619C2211yescharacteristic
151#2619C2211yescharacteristic
152#2616C2212yescomplemented
153#2615C2212yes—
154#2610C2212yes—
155#2610C2212yes—
156#2609C2212yes—
157#2609C2212yes—
158#2604C2212yes—
159#2604C2212yescomplemented
160#2603C2212yes—
161#2603C2212yescomplemented
162#2602C2214yes—
163#2602C2214yescomplemented
164#2600C2214yes—
165#2600C2214yes—
166#2600C2214yescomplemented
167#2599C2211yescharacteristic
168#2599C2211yescharacteristic
169#2599C2212yescomplemented
170#2599C2214yescomplemented
171#2598C2212yes—
172#2598C2211yescharacteristic
173#2598C2211yescharacteristic
174#2598C2212yes—
175#2598C2214yes—
176#2598C2212yescomplemented
177#2598C2212yescomplemented
178#2598C2212yescomplemented
179#2591C2212yes—
180#2581C2211yescharacteristic, complemented
181#2580C2211yescharacteristic, complemented
182#2579C2212yes—
183#2568C2211yescharacteristic, complemented
184#2564C2214yescomplemented
185#2559C2214yescomplemented
186#2557C2214yescomplemented
187#2555C2214yes—
188#2555C2214yes—
189#2551C2212yescomplemented
190#2550C2212yescomplemented
191#2548C2211yescharacteristic, complemented
192#2545C2214yescomplemented
193#2544C2214yes—
194#2544C2212yescomplemented
195#2543C2214yes—
196#2543C2214yes—
197#2543C2214yescomplemented
198#2542C2211yescharacteristic, complemented
199#2541C2212yes—
200#2541C2211yescharacteristic, complemented
201#2541C2212yescomplemented
202#2540C2212yes—
203#2539C2212yes—
204#2537C2212yes—
205#2536C2211yescharacteristic, complemented
206#2535C2212yes—
207#2535C2211yescharacteristic, complemented
208#2534C2212yes—
209#2521C2214yescomplemented
210#2500C2212yes—
211#2498C2212yes—
212#2498C2212yescomplemented
213#2492C2212yes—
214#2491C2214yes—
215#2491C2212yes—
216#2491C2212yescomplemented
217#2490C2212yescomplemented
218#2485C2212yes—
219#2484C2211yescharacteristic
220#2482C2211yescharacteristic
221#2479C2214yes—
222#2477C2214yescomplemented
223#2475C2214yescomplemented
224#2471C2214yes—
225#2467C2214yes—
226#2464C2214yescomplemented
227#2463C2214yescomplemented
228#2460C2214yescomplemented
229#2456C2214yes—
230#2454C2212yescomplemented
231#2452C2212yescomplemented
232#2448C2212yescomplemented
233#2446C2212yescomplemented
234#2441C2212yescomplemented
235#2439C2212yescomplemented
236#2432C2214yescomplemented
237#2432C2212yescomplemented
238#2431C2214yes—
239#2431C2212yes—
240#2431C2212yescomplemented
241#2430C2214yes—
242#2430C2212yes—
243#2430C2212yescomplemented
244#2430C2214yescomplemented
245#2428C2212yes—
246#2428C2214yes—
247#2428C2212yes—
248#2428C2212yes—
249#2428C2212yescomplemented
250#2427C2212yes—
251#2427C2212yescomplemented
252#2423C2212yes—
253#2421C2212yes—
254#2415C2212yes—
255#2414C2212yes—
256#2407C2212yes—
257#2407C2214yes—
258#2407C2212yes—
259#2407C2212yes—
260#2406C2211yescharacteristic
261#2406C2212yes—
262#2404C2211yescharacteristic
263#2404C2212yes—
264#2396C2211yescharacteristic
265#2396C2211yescharacteristic
266#2395C2212yes—
267#2392C2211yescharacteristic
268#2392C2211yescharacteristic
269#2388C2212yes—
270#2356C2211yescharacteristic, complemented
271#2356C2211yescharacteristic, complemented
272#2353C2212yes—
273#2353C2212yes—
274#2349C2211yescharacteristic, complemented
275#2349C2211yescharacteristic, complemented
276#2347C2212yes—
277#2343C2214yescomplemented
278#2339C2212yes—
279#2328C2212yescomplemented
280#2326C2212yescomplemented
281#2325C2214yes—
282#2325C2214yescomplemented
283#2324C2214yes—
284#2324C2212yes—
285#2324C2212yes—
286#2323C2214yescomplemented
287#2320C2212yescomplemented
288#2318C2214yes—
289C4×C22⋊Q8C2212yescomplemented
290C4×#123C2212yes—
291C4×#121C2212yescomplemented
292C4×#120C2212yes—
293#2290C2212yes—
294#2290C2212yes—
295#2290C2214yescomplemented
296#2283C2211yescharacteristic
297#2283C2211yescharacteristic
298#2283C2212yescomplemented
299C2×#383C2212yescomplemented
300#2275C2212yescomplemented
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2314yes—
307C22×#41C2311yescharacteristic
308C24×C4C2311yescharacteristic
309Q82—28no—
310#555—216no—
311#555—28no—
312#555—216no—
313#555—232no—
314#550—216no—
315#550—28no—
316#550—216no—
317#550—28no—
318#542—28no—
319#542—28no—
320#542—28no—
321#542—28no—
322#541—28no—
323#541—28no—
324#540—28no—
325#540—28no—
326#539—216no—
327#539—216no—
328#538—216no—
329#538—216no—
330#533—28no—
331#532—28no—
332#532—232no—
333#532—216no—
334#532—28no—
335#532—216no—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2314yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2314yes—
344C2×#127C2312yes—
345C2×#127C2311yescharacteristic
346C2×#127C2314yes—
347C2×#127C2311yescharacteristic
348C2×#127C2312yes—
349C2×#127C2312yes—
350C2×#127C2314yes—
351#529—216no—
352#529—216no—
353#529—216no—
354#529—216no—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#125C2312yes—
367C2×#125C2311yescharacteristic
368C2×#125C2311yescharacteristic
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2314yes—
373C2×#124C2314yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2314yes—
377C2×#124C2311yescharacteristic
378C2×#124C2311yescharacteristic
379C2×#124C2314yes—
380C2×#124C2312yes—
381C2×#124C2314yes—
382C2×#124C2314yes—
383#525—28no—
384#525—28no—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2314yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2314yes—
410C2×#121C2312yes—
411C2×#121C2312yes—
412C2×#121C2312yes—
413C2×#121C2314yes—
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2311yescharacteristic
417C2×#121C2311yescharacteristic
418C2×#121C2311yescharacteristic
419C2×#121C2311yescharacteristic
420C2×#121C2314yes—
421C2×#121C2314yes—
422C2×#121C2312yes—
423C2×#121C2314yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2314yes—
429C2×#121C2312yes—
430C2×#121C2314yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2314yes—
435C2×#121C2314yes—
436C2×#121C2314yes—
437C2×#121C2312yes—
438C2×#121C2314yes—
439C2×#121C2314yes—
440C2×#121C2314yes—
441C2×#121C2314yes—
442C2×#121C2314yes—
443C2×#120C2312yes—
444C2×#120C2312yes—
445C2×#120C2312yes—
446C2×#120C2314yes—
447C4×#41—216no—
448C4×#41—28no—
449C4×#41—28no—
450C4×#41—216no—
451C4×#41D4116yescomplemented
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2311yescharacteristic
462C2×C4×D4C2314yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2311yescharacteristic
467C2×C4×D4C2312yes—
468C2×C4×D4C2314yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2312yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2312yes—
478C2×C4×D4C2314yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2314yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2312yes—
492C2×C4×D4C2311yescharacteristic
493C2×#117—28no—
494C2×#117C2314yes—
495C2×#117C2311yescharacteristic
496C2×#117C2311yescharacteristic
497C2×#117C2311yescharacteristic
498C2×#117C2311yescharacteristic
499C2×#117C2312yes—
500C2×#117C2311yescharacteristic
501C2×#117C2311yescharacteristic
502C2×#117C2312yes—
503C2×#117C2311yescharacteristic
504C2×#117C2311yescharacteristic
505C2×#117C2312yes—
506C2×#117C2311yescharacteristic
507C2×#117C2311yescharacteristic
508C2×#117C2312yes—
509C2×#117C2314yes—
510C2×#117C2312yes—
511C2×#117C2311yescharacteristic
512C22×C4⋊C4C2311yescharacteristic
513C22×C4⋊C4C2311yescharacteristic
514C22×C22⋊C4C2311yescharacteristic
515C22×C22⋊C4C2311yescharacteristic
516C22×C42C2314yes—
517C22×C42C2312yes—
518C22×C42C2311yescharacteristic
519C22×C42C2312yes—
520C22×C42C2311yescharacteristic
521C22×C42C2312yes—
522#400C2314yes—
523#400C2312yes—
524#400C2312yes—
525#400C2311yescharacteristic
526#400C2312yes—
527#400C2312yes—
528#400C2312yes—
529#400C2311yescharacteristic
530#400C2314yes—
531#400C2314yes—
532#399C2314yes—
533#399C2311yescharacteristic
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2312yes—
538#399C2311yescharacteristic
539#399C2312yes—
540#399C2314yes—
541#399C2314yes—
542#399C2314yes—
543#399C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2312yes—
547#398C2312yes—
548#398C2311yescharacteristic
549#398C2311yescharacteristic
550#398C2312yes—
551#398C2314yes—
552#397C2314yes—
553#397C2314yes—
554#397C2311yescharacteristic
555#397C2311yescharacteristic
556#397C2312yes—
557#397C2314yes—
558#397C2314yes—
559#397C2314yes—
560#397C2314yes—
561#397C2314yes—
562#397C2314yes—
563#396C2312yes—
564#396C2312yes—
565#396C2312yes—
566#396C2312yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#395C2314yes—
572#395C2314yes—
573#395C2314yes—
574#395C2312yes—
575#395C2311yescharacteristic
576#395C2311yescharacteristic
577#395C2312yes—
578#395C2312yes—
579#394C2312yes—
580#394C2312yes—
581#394C2314yes—
582#394C2314yes—
583#394C2311yescharacteristic
584#394C2312yes—
585#394C2314yes—
586#394C2314yes—
587#394C2312yes—
588#394C2314yes—
589#394C2311yescharacteristic
590#394C2312yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2312yes—
598#394C2312yes—
599#394C2312yes—
600#394C2312yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#393C2314yes—
614#393C2314yes—
615#393C2314yes—
616#393C2312yes—
617#393C2311yescharacteristic
618#393C2311yescharacteristic
619#393C2312yes—
620#393C2312yes—
621#393C2314yes—
622#393C2314yes—
623#392C2311yescharacteristic
624#392C2312yes—
625#392C2314yes—
626#392C2314yes—
627#392C2312yes—
628#392C2312yes—
629#392C2314yes—
630#392C2314yes—
631#392C2312yes—
632#392C2314yes—
633#392C2311yescharacteristic
634#392C2312yes—
635#392C2314yes—
636#392C2314yes—
637#392C2314yes—
638#392C2312yes—
639#392C2312yes—
640#392C2314yes—
641#392C2314yes—
642#392C2314yes—
643#392C2314yes—
644#392C2314yes—
645#392C2314yes—
646#392C2314yes—
647#392C2314yes—
648#392C2314yes—
649#392C2314yes—
650#391C2312yes—
651#391C2314yes—
652#391C2312yes—
653#391C2312yes—
654#391C2314yes—
655#391C2312yes—
656#391C2314yes—
657#391C2314yes—
658#390C2314yes—
659#390C2312yes—
660#390C2312yes—
661#390C2314yes—
662#390C2314yes—
663#390C2314yes—
664#390C2314yes—
665#390C2312yes—
666#390C2312yes—
667#390C2312yes—
668#390C2312yes—
669#390C2314yes—
670#390C2314yes—
671#390C2314yes—
672#389C2312yes—
673#389C2312yes—
674#389C2314yes—
675#389C2314yes—
676#389C2314yes—
677#389C2314yes—
678#389C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2312yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2312yes—
703#388C2314yes—
704#388C2314yes—
705#388C2312yes—
706#388C2312yes—
707#388C2314yes—
708#388C2314yes—
709#388C2312yes—
710#388C2312yes—
711#387C2312yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2312yes—
718#387C2314yes—
719#387C2312yes—
720#387C2314yes—
721#387C2312yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2312yes—
729#387C2312yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2312yes—
735#386C2312yes—
736#386C2314yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2312yes—
757#386C2312yes—
758#386C2312yes—
759#386C2312yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2312yes—
764#386C2312yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2312yes—
774#385C2312yes—
775#385C2312yes—
776#385C2312yes—
777#385C2312yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2312yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2312yes—
791#385C2312yes—
792#384C2312yes—
793#383C2312yes—
794#383C2312yes—
795#383C2314yes—
796#383C2312yes—
797#383C2311yescharacteristic
798#383C2311yescharacteristic
799#383C2314yes—
800#382C2312yes—
801#382C2314yes—
802#382C2311yescharacteristic
803#382C2311yescharacteristic
804#382C2312yes—
805#381C2312yes—
806#381C2314yes—
807#381C2311yescharacteristic
808#381C2311yescharacteristic
809#381C2312yes—
810#380C2314yes—
811#380C2314yes—
812#380C2312yes—
813#380C2314yes—
814#380C2312yes—
815#380C2312yes—
816#380C2314yes—
817#380C2312yes—
818#380C2312yes—
819#380C2312yes—
820#380C2312yes—
821#380C2312yes—
822#379C2312yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2311yescharacteristic
829C4×C4⋊C4C2314yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843#376C2312yes—
844#376C2312yes—
845#376C2312yes—
846#376C2312yes—
847C2×#95C2314yes—
848C2×#95C2314yes—
849C2×#95C2312yes—
850C2×#95C2312yes—
851C25C2411yescharacteristic
852C2×#41—28no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—28no—
856C2×#41—28no—
857C2×#41—216no—
858C2×#41—42no—
859C2×#41—42no—
860C2×#41—42no—
861C2×#41—42no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—44no—
865C2×#41—48no—
866C2×#41—84no—
867C2×#41—84no—
868C2×#41—84no—
869C2×#41C2×D418yes—
870C22×Q8C2411yescharacteristic
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2412yes—
874C22×Q8C2412yes—
875C22×Q8C2412yes—
876C22×Q8C2414yes—
877C22×D4C2411yescharacteristic
878C22×D4C2412yes—
879C22×D4C2412yes—
880C22×D4C2414yes—
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2411yescharacteristic
884C22×D4C2412yes—
885C22×D4C2414yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2412yes—
896C22×D4C2414yes—
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2412yes—
905C23×C4—24no—
906C23×C4—42no—
907C23×C4—42no—
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2412yes—
912C23×C4C2414yes—
913C23×C4C2411yescharacteristic
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2412yes—
920C23×C4C2414yes—
921C23×C4C2412yes—
922C23×C4C2414yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2414yes—
926C23×C4C2414yes—
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2412yes—
932C4⋊Q8—24no—
933C4⋊Q8—28no—
934C4⋊Q8—216no—
935C4⋊Q8—24no—
936C4⋊Q8—24no—
937C4⋊Q8—24no—
938C4⋊Q8—28no—
939C4⋊Q8—84no—
940#127—24no—
941#127—28no—
942#127—216no—
943#127—24no—
944#127—28no—
945#127—44no—
946#127—84no—
947#126—28no—
948#126—28no—
949#126—28no—
950#126—28no—
951#126—28no—
952#126—28no—
953#126—28no—
954#126—28no—
955#125—28no—
956#125—28no—
957#125—24no—
958#125—24no—
959#125—28no—
960#125—28no—
961#124—24no—
962#124—24no—
963#124—28no—
964#124—28no—
965#124—216no—
966#124—216no—
967#124—216no—
968#124—28no—
969#124—28no—
970#124—28no—
971#124—216no—
972#124—44no—
973#124—84no—
974#124—84no—
975#123—28no—
976#123—28no—
977#123—28no—
978#123—28no—
979#123—28no—
980#123—28no—
981#123—28no—
982#123—28no—
983#123—28no—
984#123—28no—
985#123—44no—
986#123—84no—
987C22⋊Q8—24no—
988C22⋊Q8—24no—
989C22⋊Q8—28no—
990C22⋊Q8—28no—
991C22⋊Q8—24no—
992C22⋊Q8—24no—
993C22⋊Q8—28no—
994C22⋊Q8—28no—
995C22⋊Q8—28no—
996C22⋊Q8—28no—
997C22⋊Q8—48no—
998C22⋊Q8—44no—
999C22⋊Q8—84no—
1000#121—24no—
1001#121—24no—
1002#121—28no—
1003#121—28no—
1004#121—28no—
1005#121—216no—
1006#121—28no—
1007#121—28no—
1008#121—28no—
1009#121—28no—
1010#121—28no—
1011#121—28no—
1012#121—216no—
1013#121—24no—
1014#121—24no—
1015#121—28no—
1016#121—216no—
1017#121—28no—
1018#121—28no—
1019#121—216no—
1020#121—216no—
1021#121—216no—
1022#121—48no—
1023#121—48no—
1024#121—48no—
1025#121—44no—
1026#121—44no—
1027#121—44no—
1028#121—84no—
1029#121—84no—
1030#121—84no—
1031#121—84no—
1032#121—84no—
1033#120—28no—
1034#120—28no—
1035#120—44no—
1036#120—84no—
1037C4×Q8—28no—
1038C4×Q8—24no—
1039C4×Q8—24no—
1040C4×Q8—24no—
1041C4×Q8—24no—
1042C4×Q8—28no—
1043C4×Q8—28no—
1044C4×Q8—28no—
1045C4×Q8C2×D418yes—
1046C4×Q8C2×D418yes—
1047C4×D4—28no—
1048C4×D4—216no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—216no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—28no—
1058C4×D4—216no—
1059C4×D4—28no—
1060C4×D4—216no—
1061C4×D4—24no—
1062C4×D4—28no—
1063C4×D4—24no—
1064C4×D4—24no—
1065C4×D4—24no—
1066C4×D4—28no—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—44no—
1070C4×D4—44no—
1071C4×D4—44no—
1072C4×D4—44no—
1073C4×D4—48no—
1074C4×D4C2×D4116yes—
1075C4×D4C2×D418yes—
1076C4×D4C2×D4116yes—
1077C4×D4C2×D418yes—
1078#117—24no—
1079#117—24no—
1080#117—28no—
1081#117—28no—
1082#117—216no—
1083#117—24no—
1084#117—24no—
1085#117—24no—
1086#117—24no—
1087#117—24no—
1088#117—24no—
1089#117—24no—
1090#117—24no—
1091#117—28no—
1092#117—28no—
1093#117—216no—
1094#117C2×D418yes—
1095#117C2×D4116yes—
1096C2×C4⋊C4—24no—
1097C2×C4⋊C4—24no—
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2411yescharacteristic
1152C2×C4⋊C4C2412yes—
1153C2×C22⋊C4—24no—
1154C2×C22⋊C4—24no—
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2411yescharacteristic
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C42—24no—
1230C2×C42—28no—
1231C2×C42—216no—
1232C2×C42—28no—
1233C2×C42C2×D418yes—
1234C2×C42C2×D4116yes—
1235C2×C42C2412yes—
1236C2×C42C2414yes—
1237C2×C42C2411yescharacteristic
1238C2×C42C2412yes—
1239C2×C42C2411yescharacteristic
1240C2×C42C2411yescharacteristic
1241C2×C42C2411yescharacteristic
1242C2×C42C2412yes—
1243C2×C42C2412yes—
1244C2×C42C2414yes—
1245C2×C42C2412yes—
1246C2×C42C2412yes—
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2414yes—
1250C2×C42C2414yes—
1251C2×C42C2414yes—
1252C2×C42C2411yescharacteristic
1253C2×C42C2411yescharacteristic
1254C2×C42C2412yes—
1255C2×C42C2411yescharacteristic
1256C2×C42C2411yescharacteristic
1257C2×C42C2412yes—
1258C2×C42C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2411yescharacteristic
1262#95C2411yescharacteristic
1263#95C2412yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272#95C2414yes—
1273#95C2411yescharacteristic
1274#95C2411yescharacteristic
1275#95C2412yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2412yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309C24—22no—
1310C24—41no—
1311C24—41no—
1312C24—42no—
1313C24—42no—
1314C24C2511yescharacteristic
1315C24C2511yescharacteristic
1316C24C2512yes—
1317C24C2512yes—
1318C24C2514yes—
1319C24C2511yescharacteristic
1320C24C2512yes—
1321#41—416no—
1322#41—416no—
1323#41—416no—
1324#41—432no—
1325#41—432no—
1326#41—816no—
1327#41—832no—
1328C2×Q8—22no—
1329C2×Q8—22no—
1330C2×Q8—24no—
1331C2×Q8—24no—
1332C2×Q8—24no—
1333C2×Q8—28no—
1334C2×Q8—24no—
1335C2×Q8—22no—
1336C2×Q8—22no—
1337C2×Q8—22no—
1338C2×Q8—22no—
1339C2×Q8—44no—
1340C2×Q8—44no—
1341C2×Q8—44no—
1342C2×Q8—44no—
1343C2×Q8—44no—
1344C2×Q8C22×D414yes—
1345C2×D4—24no—
1346C2×D4—28no—
1347C2×D4—24no—
1348C2×D4—24no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—28no—
1353C2×D4—28no—
1354C2×D4—28no—
1355C2×D4—22no—
1356C2×D4—28no—
1357C2×D4—22no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—28no—
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—24no—
1367C2×D4—28no—
1368C2×D4—22no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—22no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—42no—
1379C2×D4—44no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—44no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—42no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—42no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4C22×D414yes—
1419C2×D4C22×D418yes—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—28no—
1428C22×C4—28no—
1429C22×C4—24no—
1430C22×C4—24no—
1431C22×C4—28no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—28no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—41no—
1447C22×C4—41no—
1448C22×C4—41no—
1449C22×C4—41no—
1450C22×C4—41no—
1451C22×C4—41no—
1452C22×C4—42no—
1453C22×C4—42no—
1454C22×C4—44no—
1455C22×C4—44no—
1456C22×C4—42no—
1457C22×C4—42no—
1458C22×C4—42no—
1459C22×C4—42no—
1460C22×C4—44no—
1461C22×C4—44no—
1462C22×C4—44no—
1463C22×C4—42no—
1464C22×C4—44no—
1465C22×C4—42no—
1466C22×C4—42no—
1467C22×C4—44no—
1468C22×C4—44no—
1469C22×C4—44no—
1470C22×C4—42no—
1471C22×C4—42no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—44no—
1477C22×C4—44no—
1478C22×C4—416no—
1479C22×C4C22×D414yes—
1480C22×C4C22×D414yes—
1481C22×C4C22×D414yes—
1482C22×C4C22×D418yes—
1483C22×C4C22×D418yes—
1484C22×C4C22×D418yes—
1485C22×C4C2512yes—
1486C22×C4C2512yes—
1487C22×C4C2514yes—
1488C22×C4C2512yes—
1489C22×C4C2514yes—
1490C22×C4C2512yes—
1491C22×C4C2512yes—
1492C22×C4C2511yescharacteristic
1493C22×C4C2512yes—
1494C22×C4C2512yes—
1495C22×C4C2511yescharacteristic
1496C22×C4C2512yes—
1497C22×C4C2514yes—
1498C22×C4C2511yescharacteristic
1499C22×C4C2511yescharacteristic
1500C22×C4C2511yescharacteristic
1501C22×C4C2512yes—
1502C22×C4C2511yescharacteristic
1503C22×C4C2511yescharacteristic
1504C22×C4C2511yescharacteristic
1505C22×C4C2512yes—
1506C22×C4C2511yescharacteristic
1507C22×C4C2511yescharacteristic
1508C22×C4C2512yes—
1509C22×C4C2512yes—
1510C22×C4C2511yescharacteristic
1511C22×C4C2512yes—
1512C22×C4C2511yescharacteristic
1513C4⋊C4—22no—
1514C4⋊C4—22no—
1515C4⋊C4—22no—
1516C4⋊C4—22no—
1517C4⋊C4—22no—
1518C4⋊C4—22no—
1519C4⋊C4—22no—
1520C4⋊C4—22no—
1521C4⋊C4—24no—
1522C4⋊C4—22no—
1523C4⋊C4—24no—
1524C4⋊C4—28no—
1525C4⋊C4—28no—
1526C4⋊C4—24no—
1527C4⋊C4—22no—
1528C4⋊C4—24no—
1529C4⋊C4—22no—
1530C4⋊C4—22no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—24no—
1539C4⋊C4—24no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—28no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—24no—
1550C4⋊C4—42no—
1551C4⋊C4—42no—
1552C4⋊C4—44no—
1553C4⋊C4—42no—
1554C4⋊C4—42no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—44no—
1558C4⋊C4—44no—
1559C4⋊C4—44no—
1560C4⋊C4—42no—
1561C4⋊C4—44no—
1562C4⋊C4—44no—
1563C4⋊C4—42no—
1564C4⋊C4C22×D414yes—
1565C4⋊C4C22×D418yes—
1566C4⋊C4C22×D414yes—
1567C4⋊C4C22×D418yes—
1568C22⋊C4—24no—
1569C22⋊C4—28no—
1570C22⋊C4—24no—
1571C22⋊C4—24no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—22no—
1576C22⋊C4—22no—
1577C22⋊C4—22no—
1578C22⋊C4—22no—
1579C22⋊C4—22no—
1580C22⋊C4—22no—
1581C22⋊C4—22no—
1582C22⋊C4—22no—
1583C22⋊C4—24no—
1584C22⋊C4—28no—
1585C22⋊C4—28no—
1586C22⋊C4—24no—
1587C22⋊C4—28no—
1588C22⋊C4—28no—
1589C22⋊C4—28no—
1590C22⋊C4—24no—
1591C22⋊C4—24no—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—28no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—44no—
1604C22⋊C4—42no—
1605C22⋊C4—42no—
1606C22⋊C4—44no—
1607C22⋊C4—42no—
1608C22⋊C4—42no—
1609C22⋊C4—44no—
1610C22⋊C4—42no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—42no—
1620C22⋊C4—44no—
1621C22⋊C4—42no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—42no—
1632C22⋊C4—42no—
1633C22⋊C4—42no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—42no—
1638C22⋊C4—42no—
1639C22⋊C4C22×D418yes—
1640C22⋊C4C22×D418yes—
1641C22⋊C4C22×D418yes—
1642C42—24no—
1643C42—24no—
1644C42—28no—
1645C42—22no—
1646C42—22no—
1647C42—24no—
1648C42—22no—
1649C42—22no—
1650C42—28no—
1651C42—24no—
1652C42—24no—
1653C42—24no—
1654C42—24no—
1655C42—24no—
1656C42—44no—
1657C42—44no—
1658C42—44no—
1659C42C22×D414yes—
1660C42C22×D414yes—
1661C42C22×D418yes—
1662C42C22×D414yes—
1663C42C22×D418yes—
1664C42C22×D414yes—
1665C42C22×D418yes—
1666C23—22no—
1667C23—22no—
1668C23—22no—
1669C23—21no—
1670C23—21no—
1671C23—24no—
1672C23—22no—
1673C23—24no—
1674C23—21no—
1675C23—21no—
1676C23—22no—
1677C23—24no—
1678C23—22no—
1679C23—24no—
1680C23—22no—
1681C23—22no—
1682C23—22no—
1683C23—24no—
1684C23—21no—
1685C23—21no—
1686C23—22no—
1687C23—24no—
1688C23—22no—
1689C23—24no—
1690C23—22no—
1691C23—22no—
1692C23—24no—
1693C23—21no—
1694C23—21no—
1695C23—22no—
1696C23—22no—
1697C23—24no—
1698C23—24no—
1699C23—22no—
1700C23—22no—
1701C23—22no—
1702C23—24no—
1703C23—44no—
1704C23—82no—
1705C23—82no—
1706C23—84no—
1707C23—84no—
1708C23C23×D414yes—
1709C23C23×D412yes—
1710C23C2611yescharacteristic
1711Q8—28no—
1712Q8—28no—
1713Q8—44no—
1714Q8—84no—
1715Q8—84no—
1716Q8—84no—
1717Q8—88no—
1718D4—28no—
1719D4—48no—
1720D4—48no—
1721D4—416no—
1722D4—44no—
1723D4—48no—
1724D4—416no—
1725D4—48no—
1726D4—44no—
1727D4—48no—
1728D4—84no—
1729D4—84no—
1730D4—84no—
1731D4—88no—
1732D4—84no—
1733D4—84no—
1734D4—84no—
1735D4—84no—
1736D4—88no—
1737D4—88no—
1738D4—88no—
1739D4—84no—
1740D4—88no—
1741D4—84no—
1742D4—164no—
1743D4—164no—
1744D4—164no—
1745D4—164no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—24no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—24no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—28no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—22no—
1765C2×C4—22no—
1766C2×C4—24no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—24no—
1776C2×C4—24no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—22no—
1783C2×C4—24no—
1784C2×C4—22no—
1785C2×C4—24no—
1786C2×C4—24no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—21no—
1791C2×C4—21no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—24no—
1797C2×C4—24no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—24no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—24no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—24no—
1807C2×C4—44no—
1808C2×C4—48no—
1809C2×C4—48no—
1810C2×C4—44no—
1811C2×C4—48no—
1812C2×C4—48no—
1813C2×C4—416no—
1814C2×C4—44no—
1815C2×C4—44no—
1816C2×C4—48no—
1817C2×C4—416no—
1818C2×C4—416no—
1819C2×C4—48no—
1820C2×C4—44no—
1821C2×C4—44no—
1822C2×C4—44no—
1823C2×C4—48no—
1824C2×C4—84no—
1825C2×C4—84no—
1826C2×C4—82no—
1827C2×C4—82no—
1828C2×C4—164no—
1829C2×C4—164no—
1830C2×C4C23×D412yes—
1831C2×C4C23×D412yes—
1832C2×C4C23×D412yes—
1833C2×C4C23×D414yes—
1834C2×C4C23×D412yes—
1835C2×C4C23×D414yes—
1836C2×C4C23×D412yes—
1837C2×C4C23×D414yes—
1838C2×C4C23×D412yes—
1839C2×C4#58514yes—
1840C2×C4#58512yes—
1841C2×C4#58512yes—
1842C22—22no—
1843C22—24no—
1844C22—22no—
1845C22—24no—
1846C22—22no—
1847C22—24no—
1848C22—44no—
1849C22—42no—
1850C22—44no—
1851C22—42no—
1852C22—42no—
1853C22—44no—
1854C22—42no—
1855C22—41no—
1856C22—41no—
1857C22—42no—
1858C22—44no—
1859C22—42no—
1860C22—41no—
1861C22—41no—
1862C22—42no—
1863C22—44no—
1864C22—42no—
1865C22—42no—
1866C22—42no—
1867C22—44no—
1868C22—44no—
1869C22—41no—
1870C22—41no—
1871C22—44no—
1872C22—42no—
1873C22—42no—
1874C22—42no—
1875C22—42no—
1876C22—44no—
1877C22—44no—
1878C22—42no—
1879C22—44no—
1880C22—42no—
1881C22—88no—
1882C22C24×D411yescharacteristic
1883C22C2×#58512yes—
1884C22C2×#58511yescharacteristic
1885C22C2×#58511yescharacteristic
1886C22H(7,𝔽2)12yes—
1887C4—22no—
1888C4—22no—
1889C4—24no—
1890C4—24no—
1891C4—22no—
1892C4—22no—
1893C4—24no—
1894C4—22no—
1895C4—24no—
1896C4—41no—
1897C4—42no—
1898C4—41no—
1899C4—44no—
1900C4—42no—
1901C4—41no—
1902C4—42no—
1903C4—41no—
1904C4—42no—
1905C4—42no—
1906C4—44no—
1907C4—42no—
1908C4—41no—
1909C4—41no—
1910C4—42no—
1911C4—42no—
1912C4—44no—
1913C4—42no—
1914C4#344914yes—
1915C2—44no—
1916C2—42no—
1917C2—82no—
1918C2—84no—
1919C2—82no—
1920C2—81no—
1921C2—81no—
1922C2C2×#344911yescharacteristic
1923C2#6281111yescharacteristic
1924C2#6285211yescharacteristic
1925C2#6293712yes—
1926C2#6296612yes—
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×#3483C2semidirect
2. C2×#3455C2semidirect
3. #42880C2semidirect
4. #42876C2semidirect
5. #42793C2semidirect
6. #42789C2semidirect
7. #42650C2semidirect
8. #42646C2semidirect
9. #42429C2semidirect
10. #42425C2semidirect
11. #41385C2semidirect
12. #41381C2semidirect
13. #40505C2semidirect
14. #40501C2semidirect
15. #39891C2semidirect
16. #39886C2semidirect
17. #39865C2semidirect
18. #39861C2semidirect
19. #38385C2semidirect
20. #38381C2semidirect
21. #37556C2semidirect
22. #37544C2semidirect
23. #37235C2semidirect
24. #37234C2semidirect
25. #35607C2semidirect
26. #35571C2semidirect
27. #35342C2semidirect
28. #35301C2semidirect
29. #35205C2semidirect
30. #35195C2semidirect
31. #35190C2semidirect
32. #35144C2semidirect
33. #34909C2semidirect
34. #34875C2semidirect
35. #34195C2semidirect
37. C2×Q82C22semidirect
40. C2×#555C22semidirect
41. C2×#555C22semidirect
44. C2×#550C22semidirect
45. C2×#550C22semidirect
63. C2×#532C22semidirect
64. C2×#532C22semidirect
74. C2×C4×#41C22semidirect
75. C2×C4×#41C22semidirect
79. #2852C22semidirect
80. #2851C22semidirect
82. #2850C22semidirect
85. #2821C22semidirect
87. #2818C22semidirect
90. #2813C22semidirect
91. #2813C22semidirect
93. #2715C22semidirect
95. #2713C22semidirect
97. #2711C22semidirect
103. #2691C22semidirect
106. #2677C22semidirect
109. #2676C22semidirect
117. #2672C22semidirect
119. #2671C22semidirect
128. #2642C22semidirect
129. #2641C22semidirect
130. #2639C22semidirect
131. #2639C22semidirect
133. #2636C22semidirect
137. #2635C22semidirect
138. #2634C22semidirect
139. #2633C22semidirect
140. #2633C22semidirect
142. #2632C22semidirect
148. #2625C22semidirect
152. #2616C22semidirect
159. #2604C22semidirect
161. #2603C22semidirect
163. #2602C22semidirect
166. #2600C22semidirect
169. #2599C22semidirect
170. #2599C22semidirect
176. #2598C22semidirect
177. #2598C22semidirect
178. #2598C22semidirect
180. #2581C22semidirect
181. #2580C22semidirect
183. #2568C22semidirect
184. #2564C22semidirect
185. #2559C22semidirect
186. #2557C22semidirect
189. #2551C22semidirect
190. #2550C22semidirect
191. #2548C22semidirect
192. #2545C22semidirect
194. #2544C22semidirect
197. #2543C22semidirect
198. #2542C22semidirect
200. #2541C22semidirect
201. #2541C22semidirect
205. #2536C22semidirect
207. #2535C22semidirect
209. #2521C22semidirect
212. #2498C22semidirect
216. #2491C22semidirect
217. #2490C22semidirect
222. #2477C22semidirect
223. #2475C22semidirect
226. #2464C22semidirect
227. #2463C22semidirect
228. #2460C22semidirect
230. #2454C22semidirect
231. #2452C22semidirect
232. #2448C22semidirect
233. #2446C22semidirect
234. #2441C22semidirect
235. #2439C22semidirect
236. #2432C22semidirect
237. #2432C22semidirect
240. #2431C22semidirect
243. #2430C22semidirect
244. #2430C22semidirect
249. #2428C22semidirect
251. #2427C22semidirect
270. #2356C22semidirect
271. #2356C22semidirect
274. #2349C22semidirect
275. #2349C22semidirect
277. #2343C22semidirect
279. #2328C22semidirect
280. #2326C22semidirect
282. #2325C22semidirect
286. #2323C22semidirect
287. #2320C22semidirect
289. C4×C22⋊Q8C22semidirect
291. C4×#121C22semidirect
295. #2290C22semidirect
298. #2283C22semidirect
299. C2×#383C22semidirect
300. #2275C22semidirect
451. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34832
C2×#34552
#428802
#428762
#427932
#427892
#426502
#426462
#424292
#424252
#413852
#413812
#405052
#405012
#398912
#398862
#398652
#398612
#383852
#383812
#375562
#375442
#372352
#372342
#356072
#355712
#353422
#353012
#352052
#351952
#351902
#351442
#349092
#348752
#341952