Finite Group Databasebeta

← #7647495

Subgroups — #7647495

Order 512.

6754 conjugacy classes of subgroups.

The subgroup lattice has 1947 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3480C211yesmaximal, characteristic, complemented
2C2×#3461C211yesmaximal, characteristic, complemented
3#42797C212yesmaximal, complemented
4#42796C212yesmaximal, complemented
5#42437C212yesmaximal, complemented
6#42433C212yesmaximal, complemented
7#40527C214yesmaximal, complemented
8#40522C214yesmaximal, complemented
9#39727C211yesmaximal, characteristic, complemented
10#39726C211yesmaximal, characteristic, complemented
11#39725C211yesmaximal, characteristic, complemented
12#39724C211yesmaximal, characteristic, complemented
13#39719C212yesmaximal, complemented
14#39718C212yesmaximal, complemented
15#39139C211yesmaximal, characteristic, complemented
16#39138C211yesmaximal, characteristic, complemented
17#39137C211yesmaximal, characteristic, complemented
18#39136C211yesmaximal, characteristic, complemented
19#39131C212yesmaximal, complemented
20#39130C212yesmaximal, complemented
21#37616C212yesmaximal, complemented
22#37559C212yesmaximal, complemented
23#37189C214yesmaximal, complemented
24#37188C214yesmaximal, complemented
25#35638C212yesmaximal, complemented
26#35572C212yesmaximal, complemented
27#35292C211yesmaximal, characteristic, complemented
28#35210C212yesmaximal, complemented
29#35205C212yesmaximal, complemented
30#35195C212yesmaximal, complemented
31#35190C211yesmaximal, characteristic, complemented
32#35189C212yesmaximal, complemented
33#34976C211yesmaximal, characteristic, complemented
34#34909C211yesmaximal, characteristic, complemented
35#34196C211yesmaximal, characteristic, complemented
36#3480—216no—
37C2×#559C2212yes—
38C2×#559C2211yescharacteristic
39C2×#557C2211yescharacteristic
40C2×#556C2212yes—
41C2×#556C2211yescharacteristic
42C2×#553C2214yes—
43C2×#553C2212yes—
44C2×#550C2211yescharacteristic
45C2×#548C2212yes—
46#3461—216no—
47C2×#544C2211yescharacteristic
48C2×#542C2212yes—
49C2×#542C2211yescharacteristic
50C2×#542C2211yescharacteristic
51C2×#541C2211yescharacteristic
52C2×#541C2212yes—
53C2×#541C2211yescharacteristic
54C2×#539C2212yes—
55C2×#539C2212yes—
56C2×#537C2211yescharacteristic
57C2×#536C2211yescharacteristic
58C2×#536C2211yescharacteristic
59C2×#533C2212yes—
60C2×#533C2211yescharacteristic
61C2×#533C2211yescharacteristic
62C2×#532C2211yescharacteristic
63C2×#532C2212yes—
64C2×#529C2212yes—
65C2×#529C2214yes—
66C2×#529C2212yes—
67C2×#529C2212yes—
68C2×#529C2212yes—
69C2×#529C2211yescharacteristic
70C2×#529C2211yescharacteristic
71C2×C4×#41C2211yescharacteristic
72C2×C4×#41C2211yescharacteristic
73C2×C4×#41C2212yes—
74C2×C4×#41C2211yescharacteristic
75C2×C4×#41C2212yes—
76C22×C4×Q8C2211yescharacteristic
77#2857C2211yescharacteristic
78#2857C2211yescharacteristic
79#2856C2211yescharacteristic
80#2856C2211yescharacteristic
81#2852C2214yes—
82#2852C2214yes—
83#2851C2214yes—
84#2850C2212yes—
85#2850C2212yes—
86#2850C2214yes—
87#2816C2214yes—
88#2815C2214yes—
89#2813C2214yes—
90#2813C2214yes—
91#2733C2214yes—
92#2732C2214yes—
93#2731C2214yes—
94#2730C2214yes—
95#2730C2214yes—
96#2730C2214yes—
97#2729C2214yes—
98#2728C2214yes—
99#2727C2214yes—
100#2725C2214yes—
101#2723C2214yes—
102#2721C2214yes—
103#2721C2214yes—
104#2719C2214yes—
105#2716C2214yes—
106#2714C2214yes—
107#2714C2214yes—
108#2711C2214yes—
109#2707C2214yes—
110#2705C2214yes—
111#2705C2214yes—
112#2702C2214yes—
113#2696C2214yes—
114#2694C2214yes—
115#2694C2214yes—
116#2690C2214yes—
117#2682C2214yes—
118#2681C2214yes—
119#2676C2214yes—
120#2674C2214yes—
121#2673C2214yes—
122#2673C2214yes—
123#2661C2214yes—
124#2661C2214yes—
125#2638C2214yes—
126#2636C2214yes—
127#2636C2214yes—
128#2635C2214yes—
129#2635C2214yes—
130#2633C2214yes—
131#2631C2214yes—
132#2630C2214yes—
133#2630C2214yes—
134#2624C2212yes—
135#2621C2212yes—
136#2621C2212yes—
137#2620C2212yes—
138#2620C2212yes—
139#2620C2212yes—
140#2620C2212yes—
141#2620C2214yes—
142#2619C2212yes—
143#2619C2212yes—
144#2619C2214yes—
145#2615C2212yes—
146#2611C2214yes—
147#2610C2214yes—
148#2609C2214yes—
149#2603C2214yes—
150#2603C2214yes—
151#2602C2214yes—
152#2602C2214yes—
153#2601C2214yes—
154#2601C2214yes—
155#2600C2212yes—
156#2600C2212yes—
157#2599C2212yes—
158#2598C2214yes—
159#2598C2212yes—
160#2592C2212yes—
161#2592C2212yes—
162#2592C2212yes—
163#2582C2212yes—
164#2582C2211yescharacteristic
165#2581C2212yes—
166#2581C2211yescharacteristic
167#2580C2211yescharacteristic
168#2580C2212yes—
169#2580C2212yes—
170#2568C2212yes—
171#2568C2211yescharacteristic
172#2566C2214yes—
173#2560C2214yes—
174#2558C2214yes—
175#2554C2214yes—
176#2554C2214yes—
177#2552C2212yes—
178#2550C2212yes—
179#2548C2212yes—
180#2548C2211yescharacteristic
181#2548C2212yes—
182#2545C2212yes—
183#2544C2214yes—
184#2542C2211yescharacteristic
185#2542C2212yes—
186#2541C2211yescharacteristic
187#2541C2212yes—
188#2541C2212yes—
189#2540C2212yes—
190#2540C2212yes—
191#2540C2212yes—
192#2540C2212yes—
193#2538C2212yes—
194#2538C2212yes—
195#2538C2211yescharacteristic
196#2538C2212yes—
197#2538C2211yescharacteristic
198#2537C2212yes—
199#2537C2211yescharacteristic
200#2536C2212yes—
201#2536C2211yescharacteristic
202#2536C2212yes—
203#2535C2212yes—
204#2535C2211yescharacteristic
205#2535C2212yes—
206#2519C2214yes—
207#2512C2214yes—
208#2500C2212yes—
209#2491C2212yes—
210#2490C2212yes—
211#2490C2212yes—
212#2489C2212yes—
213#2485C2212yes—
214#2485C2211yescharacteristic
215#2485C2211yescharacteristic
216#2485C2212yes—
217#2479C2214yes—
218#2477C2214yes—
219#2475C2214yes—
220#2471C2214yes—
221#2467C2214yes—
222#2463C2214yes—
223#2461C2214yes—
224#2460C2214yes—
225#2456C2214yes—
226#2454C2212yes—
227#2452C2212yes—
228#2448C2212yes—
229#2446C2212yes—
230#2445C2214yes—
231#2441C2212yes—
232#2439C2212yes—
233#2432C2212yes—
234#2431C2212yes—
235#2431C2212yes—
236#2429C2212yes—
237#2428C2212yes—
238#2427C2212yes—
239#2426C2212yes—
240#2426C2212yes—
241#2426C2212yes—
242#2423C2212yes—
243#2421C2212yes—
244#2415C2212yes—
245#2415C2214yes—
246#2414C2212yes—
247#2414C2212yes—
248#2414C2214yes—
249#2414C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2407C2212yes—
253#2407C2211yescharacteristic
254#2407C2211yescharacteristic
255#2407C2212yes—
256#2407C2212yes—
257#2407C2212yes—
258#2407C2212yes—
259#2407C2212yes—
260#2395C2212yes—
261#2392C2214yes—
262#2388C2212yes—
263#2355C2212yes—
264#2355C2212yes—
265#2355C2211yescharacteristic
266#2355C2211yescharacteristic
267Q8×C4⋊C4C2211yescharacteristic
268Q8×C4⋊C4C2211yescharacteristic
269#2344C2214yes—
270#2344C2212yes—
271Q8×C22⋊C4C2212yes—
272#2328C2212yes—
273#2326C2212yes—
274#2324C2212yes—
275#2324C2212yes—
276#2324C2212yes—
277#2324C2212yes—
278#2324C2212yes—
279#2324C2212yes—
280#2323C2212yes—
281#2323C2212yes—
282#2323C2212yes—
283#2323C2212yes—
284#2320C2214yes—
285#2320C2212yes—
286C4×C22⋊Q8C2212yes—
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2212yes—
290C4×#121C2212yes—
291C4×#121C2211yescharacteristic
292C4×#121C2211yescharacteristic
293C4×#121C2212yes—
294#2290C2212yes—
295#2290C2212yes—
296#2285C2212yes—
297#2285C2211yescharacteristic
298#2283C2211yescharacteristic
299#2283C2212yes—
300#2276C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C23×Q8C2311yescharacteristic
307#559—216no—
308#559—28no—
309#557—28no—
310#556—216no—
311#556—28no—
312#553—216no—
313#553—232no—
314#550—28no—
315#548—216no—
316#544—28no—
317#542—28no—
318#542—216no—
319#542—28no—
320#541—28no—
321#541—28no—
322#541—216no—
323#539—216no—
324#539—216no—
325#537—28no—
326#536—28no—
327#536—28no—
328#533—28no—
329#533—216no—
330#533—28no—
331#532—28no—
332#532—216no—
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×#127C2311yescharacteristic
342C2×#127C2312yes—
343C2×#127C2312yes—
344C2×#127C2314yes—
345#529—28no—
346#529—216no—
347#529—28no—
348#529—216no—
349#529—232no—
350#529—216no—
351#529—216no—
352C2×#126C2314yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2314yes—
362C2×#126C2314yes—
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#125C2311yescharacteristic
367C2×#125C2311yescharacteristic
368C2×#125C2314yes—
369C2×#125C2312yes—
370C2×#125C2312yes—
371C2×#125C2312yes—
372C2×#125C2312yes—
373C2×#125C2312yes—
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2312yes—
377C2×#124C2312yes—
378C2×#124C2312yes—
379C2×#124C2311yescharacteristic
380C2×#124C2311yescharacteristic
381C2×#124C2312yes—
382C2×#124C2312yes—
383C2×#124C2314yes—
384C2×#124C2312yes—
385C2×#124C2314yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2314yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2314yes—
423C2×#121C2314yes—
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2312yes—
427C2×#121C2314yes—
428C2×#121C2312yes—
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×#121C2314yes—
432C2×#121C2311yescharacteristic
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2311yescharacteristic
441C2×#121C2312yes—
442C2×#121C2311yescharacteristic
443C2×#121C2312yes—
444C2×#121C2314yes—
445C2×#121C2312yes—
446C2×#121C2312yes—
447C4×#41—216no—
448C4×#41—28no—
449C4×#41—28no—
450C4×#41—28no—
451C4×#41—216no—
452C2×C4×Q8D4116yescomplemented
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2311yescharacteristic
463C2×C4×Q8C2312yes—
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2312yes—
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2312yes—
468C2×C4×Q8C2311yescharacteristic
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2312yes—
471C2×C4×Q8C2311yescharacteristic
472C2×C4×D4C2314yes—
473C2×C4×D4C2312yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2314yes—
484C2×C4×D4C2314yes—
485C2×C4×D4C2312yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2312yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2312yes—
494C2×C4×D4C2311yescharacteristic
495C2×C4×D4C2314yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2314yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2311yescharacteristic
506C2×#117C2311yescharacteristic
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2314yes—
510C2×#117C2311yescharacteristic
511C2×#117C2311yescharacteristic
512C2×#117C2312yes—
513C2×#117C2311yescharacteristic
514C2×#117C2314yes—
515C2×#117C2314yes—
516C2×#117C2312yes—
517C22×C4⋊C4C2311yescharacteristic
518C22×C4⋊C4C2312yes—
519C22×C42C2312yes—
520C22×C42C2314yes—
521C22×C42C2311yescharacteristic
522C22×C42C2311yescharacteristic
523C22×C42C2312yes—
524C22×C42C2311yescharacteristic
525C22×C42C2312yes—
526#400C2314yes—
527#400C2314yes—
528#400C2314yes—
529#400C2312yes—
530#400C2314yes—
531#399C2314yes—
532#399C2314yes—
533#399C2312yes—
534#399C2314yes—
535#399C2314yes—
536#399C2314yes—
537#399C2314yes—
538#399C2314yes—
539#398C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2314yes—
544#398C2312yes—
545#398C2314yes—
546#398C2314yes—
547#398C2314yes—
548#397C2314yes—
549#397C2314yes—
550#397C2314yes—
551#397C2314yes—
552#397C2312yes—
553#397C2312yes—
554#397C2312yes—
555#397C2314yes—
556#397C2314yes—
557#397C2314yes—
558#397C2314yes—
559#397C2314yes—
560#396C2314yes—
561#396C2314yes—
562#396C2314yes—
563#396C2314yes—
564#396C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#395C2312yes—
575#395C2314yes—
576#394C2314yes—
577#394C2312yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2312yes—
585#394C2312yes—
586#394C2312yes—
587#394C2312yes—
588#394C2314yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#393C2314yes—
607#393C2314yes—
608#393C2314yes—
609#393C2314yes—
610#393C2312yes—
611#392C2314yes—
612#392C2312yes—
613#392C2312yes—
614#392C2312yes—
615#392C2314yes—
616#392C2314yes—
617#392C2314yes—
618#392C2314yes—
619#392C2314yes—
620#392C2314yes—
621#392C2314yes—
622#392C2314yes—
623#392C2314yes—
624#392C2314yes—
625#392C2314yes—
626#392C2314yes—
627#392C2314yes—
628#392C2314yes—
629#392C2314yes—
630#391C2314yes—
631#391C2312yes—
632#391C2311yescharacteristic
633#391C2312yes—
634#391C2312yes—
635#391C2312yes—
636#391C2312yes—
637#391C2312yes—
638#391C2312yes—
639#391C2314yes—
640#391C2314yes—
641#391C2312yes—
642#391C2311yescharacteristic
643#391C2314yes—
644#391C2312yes—
645#390C2314yes—
646#390C2314yes—
647#390C2314yes—
648#390C2312yes—
649#390C2312yes—
650#390C2312yes—
651#390C2312yes—
652#390C2312yes—
653#390C2312yes—
654#390C2314yes—
655#390C2314yes—
656#390C2314yes—
657#390C2314yes—
658#390C2314yes—
659#390C2311yescharacteristic
660#390C2312yes—
661#390C2312yes—
662#390C2311yescharacteristic
663#390C2312yes—
664#390C2312yes—
665#390C2312yes—
666#390C2312yes—
667#390C2314yes—
668#390C2314yes—
669#390C2314yes—
670#390C2314yes—
671#390C2314yes—
672#390C2314yes—
673#390C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2314yes—
677#389C2314yes—
678#389C2311yescharacteristic
679#389C2311yescharacteristic
680#389C2312yes—
681#389C2312yes—
682#389C2314yes—
683#389C2314yes—
684#389C2314yes—
685#389C2314yes—
686#389C2311yescharacteristic
687#389C2311yescharacteristic
688#389C2312yes—
689#389C2312yes—
690#389C2312yes—
691#389C2312yes—
692#389C2314yes—
693#389C2312yes—
694#389C2314yes—
695#389C2312yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2312yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2312yes—
721#388C2314yes—
722#388C2314yes—
723#388C2312yes—
724#388C2312yes—
725#388C2312yes—
726#388C2312yes—
727#388C2314yes—
728#387C2312yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2312yes—
742#387C2312yes—
743#387C2314yes—
744#387C2312yes—
745#387C2312yes—
746#387C2312yes—
747#387C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2312yes—
763#386C2312yes—
764#386C2312yes—
765#386C2312yes—
766#386C2312yes—
767#386C2312yes—
768#386C2314yes—
769#386C2314yes—
770#385C2312yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2312yes—
782#385C2312yes—
783#385C2314yes—
784#385C2312yes—
785#385C2312yes—
786#385C2312yes—
787#385C2314yes—
788#384C2314yes—
789#384C2312yes—
790#384C2311yescharacteristic
791#384C2312yes—
792#384C2311yescharacteristic
793#384C2312yes—
794#383C2314yes—
795#383C2312yes—
796#382C2314yes—
797#382C2312yes—
798#382C2312yes—
799#382C2314yes—
800#382C2311yescharacteristic
801#382C2312yes—
802#382C2311yescharacteristic
803#382C2312yes—
804#381C2314yes—
805#381C2312yes—
806#380C2311yescharacteristic
807#380C2311yescharacteristic
808#380C2312yes—
809#380C2312yes—
810#380C2311yescharacteristic
811#380C2311yescharacteristic
812#380C2312yes—
813#380C2312yes—
814#380C2314yes—
815#380C2314yes—
816#380C2312yes—
817#380C2314yes—
818#380C2312yes—
819#380C2312yes—
820#380C2311yescharacteristic
821#380C2311yescharacteristic
822#380C2312yes—
823#380C2312yes—
824#380C2312yes—
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2311yescharacteristic
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2314yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2311yescharacteristic
838C4×C4⋊C4C2314yes—
839C4×C4⋊C4C2312yes—
840C4×C4⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2312yes—
849#376C2312yes—
850#376C2314yes—
851C2×#41—28no—
852C2×#41—24no—
853C2×#41—28no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—42no—
857C2×#41—42no—
858C2×#41—42no—
859C2×#41—42no—
860C2×#41—42no—
861C2×#41—42no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—44no—
865C2×#41—44no—
866C22×Q8—42no—
867C22×Q8—42no—
868C22×Q8C2×D418yes—
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2411yescharacteristic
874C22×Q8C2411yescharacteristic
875C22×Q8C2412yes—
876C22×Q8C2412yes—
877C22×Q8C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2412yes—
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2414yes—
884C22×D4C2411yescharacteristic
885C22×D4C2411yescharacteristic
886C22×D4C2412yes—
887C22×D4C2411yescharacteristic
888C22×D4C2414yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C23×C4C2411yescharacteristic
901C23×C4C2412yes—
902C23×C4C2411yescharacteristic
903C23×C4C2412yes—
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2412yes—
909C23×C4C2414yes—
910C23×C4C2414yes—
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2414yes—
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2412yes—
919C23×C4C2412yes—
920C4⋊Q8—24no—
921C4⋊Q8—24no—
922C4⋊Q8—28no—
923C4⋊Q8—24no—
924C4⋊Q8—24no—
925C4⋊Q8—28no—
926C4⋊Q8—24no—
927C4⋊Q8—28no—
928#127—24no—
929#127—28no—
930#127—44no—
931#127—84no—
932#126—28no—
933#126—28no—
934#126—28no—
935#126—28no—
936#126—216no—
937#126—216no—
938#126—216no—
939#126—28no—
940#126—28no—
941#126—28no—
942#126—28no—
943#125—24no—
944#125—24no—
945#125—28no—
946#125—28no—
947#125—216no—
948#125—28no—
949#125—28no—
950#125—28no—
951#125—28no—
952#125—28no—
953#125—28no—
954#124—24no—
955#124—24no—
956#124—28no—
957#124—28no—
958#124—216no—
959#124—28no—
960#124—28no—
961#124—28no—
962#124—28no—
963#124—28no—
964#124—44no—
965#124—84no—
966#123—28no—
967#123—28no—
968#123—28no—
969#123—28no—
970#123—28no—
971#123—28no—
972#123—28no—
973#123—28no—
974#123—216no—
975#123—216no—
976#123—216no—
977C22⋊Q8—24no—
978C22⋊Q8—24no—
979C22⋊Q8—28no—
980C22⋊Q8—28no—
981C22⋊Q8—216no—
982C22⋊Q8—24no—
983C22⋊Q8—24no—
984C22⋊Q8—28no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—24no—
988C22⋊Q8—24no—
989C22⋊Q8—28no—
990C22⋊Q8—28no—
991C22⋊Q8—28no—
992C22⋊Q8—28no—
993C22⋊Q8—28no—
994C22⋊Q8—44no—
995C22⋊Q8—44no—
996C22⋊Q8—42no—
997C22⋊Q8—44no—
998C22⋊Q8—44no—
999C22⋊Q8—44no—
1000C22⋊Q8—44no—
1001C22⋊Q8—42no—
1002C22⋊Q8—84no—
1003#121—28no—
1004#121—28no—
1005#121—28no—
1006#121—216no—
1007#121—28no—
1008#121—216no—
1009#121—24no—
1010#121—24no—
1011#121—28no—
1012#121—28no—
1013#121—216no—
1014#121—44no—
1015#121—44no—
1016#121—44no—
1017#121—42no—
1018#121—44no—
1019#121—44no—
1020#121—44no—
1021#121—44no—
1022#121—42no—
1023#121—44no—
1024#121—84no—
1025#121—82no—
1026#121—82no—
1027C4×Q8—28no—
1028C4×Q8—24no—
1029C4×Q8—24no—
1030C4×Q8—24no—
1031C4×Q8—24no—
1032C4×Q8—24no—
1033C4×Q8—28no—
1034C4×Q8—24no—
1035C4×Q8—28no—
1036C4×Q8—28no—
1037C4×Q8—28no—
1038C4×Q8—44no—
1039C4×Q8—44no—
1040C4×Q8C2×D418yes—
1041C4×Q8C2×D418yes—
1042C4×Q8C2×D4116yes—
1043C4×Q8C2×D418yes—
1044C4×Q8C2×D4116yes—
1045C4×Q8C2×D418yes—
1046C4×D4—24no—
1047C4×D4—24no—
1048C4×D4—28no—
1049C4×D4—24no—
1050C4×D4—24no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—216no—
1054C4×D4—28no—
1055C4×D4—216no—
1056C4×D4—28no—
1057C4×D4—216no—
1058C4×D4—24no—
1059C4×D4—24no—
1060C4×D4—28no—
1061C4×D4—216no—
1062C4×D4—24no—
1063C4×D4—24no—
1064C4×D4—24no—
1065C4×D4—28no—
1066C4×D4—24no—
1067C4×D4—28no—
1068C4×D4—28no—
1069C4×D4—28no—
1070C4×D4—28no—
1071C4×D4—216no—
1072C4×D4—44no—
1073C4×D4—44no—
1074C4×D4—84no—
1075#117—24no—
1076#117—24no—
1077#117—24no—
1078#117—28no—
1079#117—216no—
1080#117—28no—
1081#117—216no—
1082#117—24no—
1083#117—24no—
1084#117—28no—
1085#117—28no—
1086#117—28no—
1087#117—28no—
1088#117—28no—
1089#117—82no—
1090#117—84no—
1091C2×C4⋊C4C2×D418yes—
1092C2×C4⋊C4C2×D4116yes—
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2411yescharacteristic
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2414yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2411yescharacteristic
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2411yescharacteristic
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2414yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2411yescharacteristic
1170C2×C22⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2411yescharacteristic
1178C2×C22⋊C4C2411yescharacteristic
1179C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2414yes—
1232C2×C42—28no—
1233C2×C42—216no—
1234C2×C42—28no—
1235C2×C42—24no—
1236C2×C42—24no—
1237C2×C42C2×D418yes—
1238C2×C42C2×D4116yes—
1239C2×C42C2412yes—
1240C2×C42C2411yescharacteristic
1241C2×C42C2412yes—
1242C2×C42C2411yescharacteristic
1243C2×C42C2412yes—
1244C2×C42C2414yes—
1245C2×C42C2411yescharacteristic
1246C2×C42C2411yescharacteristic
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2414yes—
1250C2×C42C2412yes—
1251C2×C42C2412yes—
1252C2×C42C2411yescharacteristic
1253C2×C42C2411yescharacteristic
1254C2×C42C2412yes—
1255C2×C42C2414yes—
1256C2×C42C2414yes—
1257C2×C42C2414yes—
1258C2×C42C2414yes—
1259C2×C42C2414yes—
1260C2×C42C2411yescharacteristic
1261C2×C42C2411yescharacteristic
1262C2×C42C2412yes—
1263C2×C42C2412yes—
1264C2×C42C2412yes—
1265C2×C42C2411yescharacteristic
1266C2×C42C2411yescharacteristic
1267C2×C42C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2414yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2414yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2414yes—
1299#95C2414yes—
1300#95C2412yes—
1301#95C2414yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312C24C2511yescharacteristic
1313C24C2511yescharacteristic
1314C24C2512yes—
1315C24C2512yes—
1316C24C2514yes—
1317C24C2511yescharacteristic
1318#41—416no—
1319#41—416no—
1320#41—416no—
1321#41—432no—
1322#41—432no—
1323C2×Q8—22no—
1324C2×Q8—22no—
1325C2×Q8—22no—
1326C2×Q8—24no—
1327C2×Q8—24no—
1328C2×Q8—24no—
1329C2×Q8—22no—
1330C2×Q8—22no—
1331C2×Q8—22no—
1332C2×Q8—22no—
1333C2×Q8—22no—
1334C2×Q8—24no—
1335C2×Q8—22no—
1336C2×Q8—24no—
1337C2×Q8—22no—
1338C2×Q8—22no—
1339C2×Q8—42no—
1340C2×Q8—42no—
1341C2×Q8—41no—
1342C2×Q8—41no—
1343C2×Q8—42no—
1344C2×Q8—42no—
1345C2×Q8—42no—
1346C2×Q8—42no—
1347C2×Q8—416no—
1348C2×Q8C22×D414yes—
1349C2×Q8C22×D414yes—
1350C2×Q8C22×D418yes—
1351C2×D4—24no—
1352C2×D4—28no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—24no—
1356C2×D4—22no—
1357C2×D4—22no—
1358C2×D4—28no—
1359C2×D4—24no—
1360C2×D4—22no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—28no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—22no—
1371C2×D4—24no—
1372C2×D4—24no—
1373C2×D4—22no—
1374C2×D4—41no—
1375C2×D4—41no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—41no—
1379C2×D4—41no—
1380C2×D4—42no—
1381C2×D4—41no—
1382C2×D4—41no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—42no—
1393C2×D4—44no—
1394C2×D4—42no—
1395C2×D4—42no—
1396C2×D4—42no—
1397C2×D4—44no—
1398C2×D4—42no—
1399C2×D4—42no—
1400C2×D4—42no—
1401C2×D4—42no—
1402C2×D4—42no—
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—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—24no—
1423C22×C4—22no—
1424C22×C4—24no—
1425C22×C4—28no—
1426C22×C4—28no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—22no—
1436C22×C4—24no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—24no—
1442C22×C4—22no—
1443C22×C4—24no—
1444C22×C4—28no—
1445C22×C4—24no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—41no—
1449C22×C4—42no—
1450C22×C4—41no—
1451C22×C4—42no—
1452C22×C4—42no—
1453C22×C4—42no—
1454C22×C4—42no—
1455C22×C4—44no—
1456C22×C4—44no—
1457C22×C4—42no—
1458C22×C4—42no—
1459C22×C4—42no—
1460C22×C4—44no—
1461C22×C4—44no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—41no—
1465C22×C4—41no—
1466C22×C4—44no—
1467C22×C4—42no—
1468C22×C4—42no—
1469C22×C4—41no—
1470C22×C4—41no—
1471C22×C4—44no—
1472C22×C4C22×D414yes—
1473C22×C4C22×D414yes—
1474C22×C4C22×D414yes—
1475C22×C4C22×D418yes—
1476C22×C4C22×D418yes—
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2512yes—
1480C22×C4C2514yes—
1481C22×C4C2514yes—
1482C22×C4C2512yes—
1483C22×C4C2512yes—
1484C22×C4C2512yes—
1485C22×C4C2511yescharacteristic
1486C22×C4C2512yes—
1487C22×C4C2511yescharacteristic
1488C22×C4C2512yes—
1489C22×C4C2514yes—
1490C22×C4C2511yescharacteristic
1491C22×C4C2511yescharacteristic
1492C22×C4C2512yes—
1493C22×C4C2511yescharacteristic
1494C22×C4C2512yes—
1495C22×C4C2511yescharacteristic
1496C22×C4C2511yescharacteristic
1497C22×C4C2511yescharacteristic
1498C22×C4C2512yes—
1499C22×C4C2511yescharacteristic
1500C22×C4C2512yes—
1501C22×C4C2512yes—
1502C22×C4C2511yescharacteristic
1503C22×C4C2512yes—
1504C22×C4C2511yescharacteristic
1505C22×C4C2511yescharacteristic
1506C4⋊C4—22no—
1507C4⋊C4—22no—
1508C4⋊C4—28no—
1509C4⋊C4—24no—
1510C4⋊C4—22no—
1511C4⋊C4—22no—
1512C4⋊C4—22no—
1513C4⋊C4—22no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—28no—
1517C4⋊C4—22no—
1518C4⋊C4—22no—
1519C4⋊C4—24no—
1520C4⋊C4—28no—
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—24no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—28no—
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—22no—
1545C4⋊C4—22no—
1546C4⋊C4—24no—
1547C4⋊C4—22no—
1548C4⋊C4—24no—
1549C4⋊C4—22no—
1550C4⋊C4—42no—
1551C4⋊C4—42no—
1552C4⋊C4—42no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4—42no—
1556C4⋊C4—42no—
1557C4⋊C4—44no—
1558C4⋊C4—44no—
1559C4⋊C4—44no—
1560C4⋊C4—44no—
1561C4⋊C4—42no—
1562C4⋊C4—44no—
1563C4⋊C4—44no—
1564C4⋊C4—44no—
1565C4⋊C4—44no—
1566C4⋊C4—42no—
1567C4⋊C4—44no—
1568C4⋊C4—42no—
1569C4⋊C4C22×D414yes—
1570C4⋊C4C22×D418yes—
1571C4⋊C4C22×D414yes—
1572C4⋊C4C22×D418yes—
1573C4⋊C4C22×D418yes—
1574C4⋊C4C22×D418yes—
1575C4⋊C4C22×D418yes—
1576C22⋊C4—24no—
1577C22⋊C4—22no—
1578C22⋊C4—22no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—28no—
1582C22⋊C4—28no—
1583C22⋊C4—28no—
1584C22⋊C4—28no—
1585C22⋊C4—24no—
1586C22⋊C4—28no—
1587C22⋊C4—22no—
1588C22⋊C4—22no—
1589C22⋊C4—24no—
1590C22⋊C4—22no—
1591C22⋊C4—22no—
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—24no—
1601C22⋊C4—28no—
1602C22⋊C4—28no—
1603C22⋊C4—28no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—42no—
1609C22⋊C4—44no—
1610C22⋊C4—42no—
1611C22⋊C4—42no—
1612C22⋊C4—42no—
1613C22⋊C4—44no—
1614C22⋊C4—42no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—42no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—42no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—42no—
1629C22⋊C4—44no—
1630C22⋊C4—42no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—42no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—42no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—42no—
1645C42—24no—
1646C42—24no—
1647C42—22no—
1648C42—22no—
1649C42—24no—
1650C42—28no—
1651C42—24no—
1652C42—22no—
1653C42—22no—
1654C42—28no—
1655C42—24no—
1656C42—24no—
1657C42—22no—
1658C42—22no—
1659C42—24no—
1660C42—24no—
1661C42—44no—
1662C42—44no—
1663C42—44no—
1664C42—44no—
1665C42—44no—
1666C42C22×D414yes—
1667C42C22×D414yes—
1668C42C22×D414yes—
1669C42C22×D418yes—
1670C42C22×D414yes—
1671C42C22×D418yes—
1672C42C22×D418yes—
1673C42C22×D418yes—
1674C23—21no—
1675C23—21no—
1676C23—21no—
1677C23—21no—
1678C23—21no—
1679C23—21no—
1680C23—21no—
1681C23—22no—
1682C23—21no—
1683C23—24no—
1684C23—22no—
1685C23—21no—
1686C23—21no—
1687C23—22no—
1688C23—22no—
1689C23—24no—
1690C23—22no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—22no—
1695C23—24no—
1696C23—24no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—24no—
1701C23—21no—
1702C23—21no—
1703C23—21no—
1704C23—22no—
1705C23—22no—
1706C23—24no—
1707C23—21no—
1708C23—22no—
1709C23—21no—
1710C23—21no—
1711C23—22no—
1712C23—24no—
1713C23—21no—
1714C23—22no—
1715C23C23×D412yes—
1716C23C2611yescharacteristic
1717Q8—28no—
1718Q8—28no—
1719Q8—48no—
1720Q8—44no—
1721Q8—44no—
1722Q8—44no—
1723Q8—48no—
1724Q8—84no—
1725Q8—84no—
1726D4—44no—
1727D4—416no—
1728D4—48no—
1729D4—416no—
1730D4—44no—
1731D4—44no—
1732D4—48no—
1733D4—44no—
1734D4—48no—
1735D4—44no—
1736D4—48no—
1737D4—84no—
1738D4—84no—
1739D4—84no—
1740D4—88no—
1741D4—84no—
1742D4—84no—
1743D4—88no—
1744D4—164no—
1745D4—164no—
1746D4—164no—
1747D4—164no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—28no—
1765C2×C4—28no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—21no—
1771C2×C4—22no—
1772C2×C4—24no—
1773C2×C4—21no—
1774C2×C4—22no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—24no—
1784C2×C4—24no—
1785C2×C4—21no—
1786C2×C4—22no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—24no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—24no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—21no—
1799C2×C4—22no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—22no—
1803C2×C4—24no—
1804C2×C4—22no—
1805C2×C4—24no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—21no—
1809C2×C4—22no—
1810C2×C4—24no—
1811C2×C4—24no—
1812C2×C4—22no—
1813C2×C4—21no—
1814C2×C4—22no—
1815C2×C4—21no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—21no—
1821C2×C4—22no—
1822C2×C4—21no—
1823C2×C4—44no—
1824C2×C4—48no—
1825C2×C4—48no—
1826C2×C4—48no—
1827C2×C4—416no—
1828C2×C4—48no—
1829C2×C4—416no—
1830C2×C4—48no—
1831C2×C4—44no—
1832C2×C4—44no—
1833C2×C4—44no—
1834C2×C4—44no—
1835C2×C4—48no—
1836C2×C4—84no—
1837C2×C4—84no—
1838C2×C4—82no—
1839C2×C4—82no—
1840C2×C4—88no—
1841C2×C4C23×D412yes—
1842C2×C4C23×D412yes—
1843C2×C4C23×D414yes—
1844C2×C4C23×D412yes—
1845C2×C4C23×D412yes—
1846C2×C4C23×D414yes—
1847C2×C4C23×D414yes—
1848C2×C4C23×D414yes—
1849C2×C4C23×D412yes—
1850C2×C4C23×D412yes—
1851C2×C4#58512yes—
1852C2×C4#58512yes—
1853C2×C4#58512yes—
1854C2×C4#58512yes—
1855C22—22no—
1856C22—22no—
1857C22—22no—
1858C22—41no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—42no—
1863C22—44no—
1864C22—41no—
1865C22—41no—
1866C22—42no—
1867C22—41no—
1868C22—42no—
1869C22—41no—
1870C22—42no—
1871C22—44no—
1872C22—44no—
1873C22—42no—
1874C22—42no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—42no—
1879C22—41no—
1880C22—42no—
1881C22—44no—
1882C22—41no—
1883C22—42no—
1884C22—42no—
1885C22—41no—
1886C22—44no—
1887C22—42no—
1888C22—44no—
1889C22—41no—
1890C22—42no—
1891C22—41no—
1892C22—42no—
1893C22—42no—
1894C22—41no—
1895C22—44no—
1896C22—41no—
1897C22C24×D411yescharacteristic
1898C22C2×#58511yescharacteristic
1899C22C2×#58511yescharacteristic
1900C22C2×#58511yescharacteristic
1901C22C2×#58511yescharacteristic
1902C22H(7,𝔽2)11yescharacteristic
1903C222−1+611yescharacteristic
1904C4—22no—
1905C4—22no—
1906C4—22no—
1907C4—24no—
1908C4—24no—
1909C4—22no—
1910C4—24no—
1911C4—24no—
1912C4—41no—
1913C4—42no—
1914C4—41no—
1915C4—42no—
1916C4—44no—
1917C4—42no—
1918C4—41no—
1919C4—42no—
1920C4—41no—
1921C4—42no—
1922C4—41no—
1923C4—41no—
1924C4—42no—
1925C4—42no—
1926C4—44no—
1927C4—42no—
1928C4—42no—
1929C4—42no—
1930C4—44no—
1931C4#344914yes—
1932C4#348714yes—
1933C2—42no—
1934C2—82no—
1935C2—84no—
1936C2—81no—
1937C2—81no—
1938C2—82no—
1939C2C2×#344911yescharacteristic
1940C2C2×#348711yescharacteristic
1941C2#6285311yescharacteristic
1942C2#6296611yescharacteristic
1943C2#6296711yescharacteristic
1944C2#6296811yescharacteristic
1945C2#6296911yescharacteristic
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×#3480C2semidirect
2. C2×#3461C2semidirect
3. #42797C2semidirect
4. #42796C2semidirect
5. #42437C2semidirect
6. #42433C2semidirect
7. #40527C2semidirect
8. #40522C2semidirect
9. #39727C2semidirect
10. #39726C2semidirect
11. #39725C2semidirect
12. #39724C2semidirect
13. #39719C2semidirect
14. #39718C2semidirect
15. #39139C2semidirect
16. #39138C2semidirect
17. #39137C2semidirect
18. #39136C2semidirect
19. #39131C2semidirect
20. #39130C2semidirect
21. #37616C2semidirect
22. #37559C2semidirect
23. #37189C2semidirect
24. #37188C2semidirect
25. #35638C2semidirect
26. #35572C2semidirect
27. #35292C2semidirect
28. #35210C2semidirect
29. #35205C2semidirect
30. #35195C2semidirect
31. #35190C2semidirect
32. #35189C2semidirect
33. #34976C2semidirect
34. #34909C2semidirect
35. #34196C2semidirect
452. C2×C4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34802
C2×#34612
#427972
#427962
#424372
#424332
#405272
#405222
#397272
#397262
#397252
#397242
#397192
#397182
#391392
#391382
#391372
#391362
#391312
#391302
#376162
#375592
#371892
#371882
#356382
#355722
#352922
#352102
#352052
#351952
#351902
#351892
#349762
#349092
#341962