Finite Group Databasebeta

← #7657306

Subgroups — #7657306

Order 512.

7000 conjugacy classes of subgroups.

The subgroup lattice has 1923 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3521C211yesmaximal, characteristic, complemented
2C2×#3483C211yesmaximal, characteristic, complemented
3#42951C212yesmaximal, complemented
4#42927C212yesmaximal, complemented
5#42880C211yesmaximal, characteristic, complemented
6#42876C211yesmaximal, characteristic, complemented
7#42793C211yesmaximal, characteristic, complemented
8#42789C211yesmaximal, characteristic, complemented
9#42177C214yesmaximal, complemented
10#41994C214yesmaximal, complemented
11#41385C212yesmaximal, complemented
12#41381C212yesmaximal, complemented
13#40505C212yesmaximal, complemented
14#40501C212yesmaximal, complemented
15#39877C212yesmaximal, complemented
16#39876C212yesmaximal, complemented
17#38373C214yesmaximal, complemented
18#38372C214yesmaximal, complemented
19#37616C211yesmaximal, characteristic, complemented
20#37554C211yesmaximal, characteristic, complemented
21#37547C212yesmaximal, complemented
22#37544C212yesmaximal, complemented
23#36229C212yesmaximal, complemented
24#36228C212yesmaximal, complemented
25#36028C212yesmaximal, complemented
26#36022C211yesmaximal, characteristic, complemented
27#36011C211yesmaximal, characteristic, complemented
28#35830C212yesmaximal, complemented
29#35741C211yesmaximal, characteristic, complemented
30#35704C211yesmaximal, characteristic, complemented
31#35143C212yesmaximal, complemented
32#35130C211yesmaximal, characteristic, complemented
33#34636C212yesmaximal, complemented
34#34614C211yesmaximal, characteristic, complemented
35#34189C211yesmaximal, characteristic, complemented
36#3521—216no—
37#3483—216no—
38C2×Q82C2211yescharacteristic, complemented
39C2×#556C2211yescharacteristic
40C2×#556C2211yescharacteristic
41C2×#555C2211yescharacteristic
42C2×#555C2214yescomplemented
43C2×#555C2212yescomplemented
44C2×#555C2212yescomplemented
45C2×#554C2211yescharacteristic
46C2×#553C2212yes—
47C2×#553C2211yescharacteristic
48C2×#552C2211yescharacteristic
49C2×#552C2212yes—
50C2×#551C2212yes—
51C2×#551C2212yes—
52C2×#550C2211yescharacteristic
53C2×#550C2212yes—
54C2×#550C2212yescomplemented
55C2×#550C2211yescharacteristic, complemented
56C2×#547C2211yescharacteristic
57C2×#546C2211yescharacteristic
58C2×#546C2211yescharacteristic
59C2×#542C2211yescharacteristic
60C2×#541C2211yescharacteristic
61C2×#539C2212yes—
62C2×#538C2212yes—
63C2×#532C2212yes—
64C2×#532C2212yescomplemented
65C2×#532C2211yescharacteristic, complemented
66C2×#532C2214yescomplemented
67C2×#529C2211yescharacteristic
68C2×#529C2211yescharacteristic
69C2×#529C2212yes—
70C22×#126C2212yes—
71C2×#520C2211yescharacteristic
72C2×#518C2211yescharacteristic
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic, complemented
75C2×C4×#41C2212yescomplemented
76C2×C4×#41C2212yescomplemented
77#2852C2214yes—
78#2852C2214yescomplemented
79#2851C2212yescomplemented
80#2850C2212yes—
81#2821C2212yes—
82#2821C2212yescomplemented
83#2820C2212yescomplemented
84#2819C2212yes—
85#2818C2212yes—
86#2818C2212yescomplemented
87#2813C2214yes—
88#2813C2214yescomplemented
89#2813C2212yescomplemented
90#2813C2212yescomplemented
91#2716C2214yes—
92#2714C2214yes—
93#2713C2214yescomplemented
94#2711C2214yescomplemented
95#2710C2214yes—
96#2709C2214yescomplemented
97#2708C2214yescomplemented
98#2703C2214yes—
99#2700C2214yescomplemented
100#2688C2214yes—
101#2681C2214yescomplemented
102#2677C2214yescomplemented
103#2676C2214yescomplemented
104#2674C2214yescomplemented
105#2674C2214yescomplemented
106#2673C2214yes—
107#2673C2214yescomplemented
108#2673C2214yescomplemented
109#2672C2214yescomplemented
110#2671C2214yescomplemented
111#2670C2214yes—
112#2669C2214yes—
113#2669C2214yes—
114#2668C2214yes—
115#2662C2214yes—
116#2662C2214yescomplemented
117#2658C2212yescomplemented
118#2657C2212yescomplemented
119#2656C2212yes—
120#2642C2212yescomplemented
121#2641C2212yescomplemented
122#2639C2212yescomplemented
123#2638C2214yescomplemented
124#2637C2211yescharacteristic
125#2637C2211yescharacteristic, complemented
126#2637C2212yescomplemented
127#2636C2211yescharacteristic
128#2636C2212yes—
129#2636C2211yescharacteristic, complemented
130#2636C2212yescomplemented
131#2636C2212yescomplemented
132#2636C2212yescomplemented
133#2636C2212yescomplemented
134#2635C2212yes—
135#2635C2214yes—
136#2635C2212yes—
137#2635C2212yescomplemented
138#2635C2212yescomplemented
139#2634C2212yescomplemented
140#2633C2212yescomplemented
141#2632C2212yescomplemented
142#2631C2212yescomplemented
143#2630C2212yes—
144#2630C2214yes—
145#2630C2214yescomplemented
146#2630C2212yescomplemented
147#2629C2212yescomplemented
148#2628C2211yescharacteristic
149#2628C2211yescharacteristic, complemented
150#2625C2211yescharacteristic, complemented
151#2624C2211yescharacteristic
152#2620C2212yes—
153#2620C2214yescomplemented
154#2620C2212yescomplemented
155#2619C2211yescharacteristic
156#2619C2212yes—
157#2619C2211yescharacteristic, complemented
158#2618C2214yescomplemented
159#2617C2214yes—
160#2616C2211yescharacteristic, complemented
161#2615C2211yescharacteristic
162#2609C2214yescomplemented
163#2604C2212yes—
164#2604C2212yescomplemented
165#2603C2212yes—
166#2603C2214yes—
167#2603C2212yescomplemented
168#2603C2214yescomplemented
169#2601C2214yes—
170#2601C2214yescomplemented
171#2598C2214yescomplemented
172#2598C2214yescomplemented
173#2591C2212yescomplemented
174#2591C2212yescomplemented
175#2581C2211yescharacteristic, complemented
176#2580C2211yescharacteristic
177#2580C2212yescomplemented
178#2579C2214yescomplemented
179#2568C2211yescharacteristic, complemented
180#2566C2212yescomplemented
181#2559C2214yescomplemented
182#2557C2214yescomplemented
183#2555C2214yes—
184#2555C2214yescomplemented
185#2551C2212yescomplemented
186#2550C2212yescomplemented
187#2548C2211yescharacteristic, complemented
188#2545C2214yescomplemented
189#2544C2212yes—
190#2544C2214yescomplemented
191#2542C2211yescharacteristic
192#2541C2211yescharacteristic
193#2541C2212yes—
194#2540C2212yes—
195#2539C2212yes—
196#2539C2212yes—
197#2536C2211yescharacteristic, complemented
198#2535C2211yescharacteristic
199#2535C2212yes—
200#2534C2214yes—
201#2521C2214yescomplemented
202#2498C2212yescomplemented
203#2492C2212yes—
204#2491C2212yes—
205#2491C2214yes—
206#2491C2212yescomplemented
207#2490C2212yescomplemented
208#2484C2212yescomplemented
209#2482C2212yes—
210#2479C2214yescomplemented
211#2477C2214yescomplemented
212#2476C2214yescomplemented
213#2475C2214yescomplemented
214#2474C2214yescomplemented
215#2472C2214yes—
216#2471C2214yes—
217#2467C2214yescomplemented
218#2464C2214yes—
219#2464C2214yescomplemented
220#2463C2214yescomplemented
221#2461C2214yes—
222#2460C2214yescomplemented
223#2459C2214yescomplemented
224#2456C2214yes—
225#2456C2214yescomplemented
226#2448C2212yes—
227#2446C2212yescomplemented
228#2445C2212yes—
229#2445C2212yes—
230#2433C2212yes—
231#2432C2212yescomplemented
232#2432C2214yescomplemented
233#2431C2212yes—
234#2431C2212yes—
235#2431C2214yes—
236#2430C2212yes—
237#2430C2212yescomplemented
238#2430C2212yescomplemented
239#2428C2214yescomplemented
240#2424C2214yes—
241#2423C2212yescomplemented
242#2422C2212yes—
243#2421C2212yes—
244#2420C2212yes—
245#2417C2212yescomplemented
246#2416C2212yes—
247#2416C2212yes—
248#2416C2212yescomplemented
249#2408C2212yes—
250#2407C2212yes—
251#2407C2212yes—
252#2407C2212yescomplemented
253#2407C2214yescomplemented
254#2406C2212yescomplemented
255#2406C2214yescomplemented
256#2404C2212yes—
257#2404C2214yes—
258#2396C2211yescharacteristic
259#2396C2211yescharacteristic, complemented
260#2396C2214yescomplemented
261#2395C2212yes—
262#2395C2212yescomplemented
263#2392C2211yescharacteristic
264#2392C2212yes—
265#2392C2214yescomplemented
266#2392C2211yescharacteristic, complemented
267#2392C2212yescomplemented
268#2388C2212yes—
269#2388C2212yescomplemented
270#2367C2212yescomplemented
271#2366C2212yes—
272#2363C2212yes—
273#2363C2212yes—
274#2362C2212yescomplemented
275#2361C2212yescomplemented
276#2357C2211yescharacteristic
277#2357C2211yescharacteristic
278#2357C2212yes—
279#2356C2211yescharacteristic, complemented
280#2356C2211yescharacteristic, complemented
281#2356C2212yescomplemented
282#2354C2212yes—
283#2353C2212yescomplemented
284#2353C2212yescomplemented
285#2353C2214yescomplemented
286#2352C2212yescomplemented
287#2325C2214yescomplemented
288#2322C2214yescomplemented
289#2321C2214yes—
290#2314C2214yescomplemented
291#2311C2212yes—
292C4×C22⋊Q8C2212yescomplemented
293C4×#121C2212yes—
294#2290C2214yescomplemented
295#2290C2214yescomplemented
296#2285C2211yescharacteristic, complemented
297#2283C2212yescomplemented
298#2283C2212yescomplemented
299C2×#382C2211yescharacteristic, complemented
300#2274C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2311yescharacteristic
305C22×#41C2314yes—
306C22×#41C2312yes—
307C22×#41C2311yescharacteristic
308C23×D4C2311yescharacteristic
309Q82—28no—
310#556—28no—
311#556—28no—
312#555—28no—
313#555—216no—
314#555—232no—
315#555—216no—
316#554—28no—
317#553—216no—
318#553—28no—
319#552—28no—
320#552—216no—
321#551—216no—
322#551—216no—
323#550—216no—
324#550—28no—
325#550—28no—
326#550—216no—
327#547—28no—
328#546—28no—
329#546—28no—
330#542—28no—
331#541—28no—
332#539—216no—
333#538—216no—
334#532—216no—
335#532—232no—
336#532—216no—
337#532—28no—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2314yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2314yes—
345C2×#127C2312yes—
346C2×#127C2311yescharacteristic
347C2×#127C2314yes—
348C2×#127C2312yes—
349C2×#127C2312yes—
350C2×#127C2314yes—
351#529—216no—
352#529—28no—
353#529—28no—
354C2×#126—216no—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2311yescharacteristic
362C2×#126C2312yes—
363C2×#126C2311yescharacteristic
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#126C2312yes—
367C2×#125C2311yescharacteristic
368C2×#125C2311yescharacteristic
369C2×#125C2312yes—
370C2×#125C2312yes—
371C2×#125C2312yes—
372C2×#125C2311yescharacteristic
373C2×#124C2311yescharacteristic
374C2×#124C2312yes—
375C2×#124C2311yescharacteristic
376C2×#124C2312yes—
377C2×#124C2314yes—
378C2×#124C2314yes—
379C2×#124C2314yes—
380C2×#124C2314yes—
381C2×#124C2312yes—
382C2×#124C2311yescharacteristic
383C2×#124C2312yes—
384C2×#124C2314yes—
385C2×#124C2314yes—
386C2×#123C2311yescharacteristic
387C2×#123C2312yes—
388C2×#123C2311yescharacteristic
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2314yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2314yes—
412C2×#121C2312yes—
413C2×#121C2312yes—
414C2×#121C2311yescharacteristic
415C2×#121C2314yes—
416C2×#121C2311yescharacteristic
417C2×#121C2312yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2314yes—
422C2×#121C2314yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2314yes—
426C2×#121C2312yes—
427C2×#121C2314yes—
428C2×#121C2314yes—
429C2×#121C2312yes—
430C2×#121C2311yescharacteristic
431C2×#121C2314yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2314yes—
437C2×#121C2314yes—
438C2×#121C2314yes—
439C2×#120C2312yes—
440C2×#120C2312yes—
441C2×#120C2314yes—
442C2×#120C2314yes—
443C2×#120C2314yes—
444#520—28no—
445#518—28no—
446C4×#41—216no—
447C4×#41—216no—
448C4×#41—28no—
449C4×#41D4116yescomplemented
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2314yes—
462C2×C4×D4C2314yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2314yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2314yes—
488C2×C4×D4C2314yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2314yes—
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2311yescharacteristic
500C2×#117C2311yescharacteristic
501C2×#117C2311yescharacteristic
502C2×#117C2311yescharacteristic
503C2×#117C2312yes—
504C2×#117C2314yes—
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2311yescharacteristic
509C22×C4⋊C4C2312yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2311yescharacteristic
513C22×C4⋊C4C2312yes—
514C22×C22⋊C4C2312yes—
515C22×C22⋊C4C2312yes—
516C22×C22⋊C4C2312yes—
517C22×C22⋊C4C2312yes—
518C22×C42C2312yes—
519C22×C42C2314yes—
520C22×C42C2312yes—
521C22×C42C2311yescharacteristic
522#400C2312yes—
523#400C2312yes—
524#400C2311yescharacteristic
525#400C2312yes—
526#400C2312yes—
527#400C2314yes—
528#400C2314yes—
529#400C2311yescharacteristic
530#400C2312yes—
531#400C2314yes—
532#399C2314yes—
533#399C2311yescharacteristic
534#399C2312yes—
535#399C2312yes—
536#399C2312yes—
537#399C2314yes—
538#399C2314yes—
539#399C2312yes—
540#399C2311yescharacteristic
541#399C2312yes—
542#399C2314yes—
543#398C2314yes—
544#398C2314yes—
545#398C2312yes—
546#398C2314yes—
547#398C2312yes—
548#398C2311yescharacteristic
549#398C2311yescharacteristic
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2314yes—
554#397C2314yes—
555#397C2314yes—
556#397C2314yes—
557#397C2311yescharacteristic
558#397C2312yes—
559#397C2311yescharacteristic
560#397C2312yes—
561#397C2312yes—
562#397C2314yes—
563#397C2314yes—
564#397C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2312yes—
571#396C2314yes—
572#396C2314yes—
573#396C2312yes—
574#396C2314yes—
575#396C2312yes—
576#396C2312yes—
577#396C2312yes—
578#396C2312yes—
579#396C2312yes—
580#396C2312yes—
581#395C2312yes—
582#395C2312yes—
583#395C2314yes—
584#395C2314yes—
585#395C2312yes—
586#395C2311yescharacteristic
587#395C2311yescharacteristic
588#395C2314yes—
589#394C2312yes—
590#394C2312yes—
591#394C2314yes—
592#394C2314yes—
593#394C2311yescharacteristic
594#394C2312yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2312yes—
600#394C2312yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2312yes—
605#394C2314yes—
606#394C2312yes—
607#394C2312yes—
608#394C2311yescharacteristic
609#394C2312yes—
610#394C2314yes—
611#394C2312yes—
612#394C2312yes—
613#394C2312yes—
614#394C2312yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2312yes—
620#394C2312yes—
621#394C2314yes—
622#394C2314yes—
623#394C2314yes—
624#394C2314yes—
625#394C2314yes—
626#394C2314yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#393C2314yes—
631#393C2312yes—
632#393C2312yes—
633#393C2314yes—
634#393C2314yes—
635#393C2312yes—
636#393C2311yescharacteristic
637#393C2311yescharacteristic
638#393C2314yes—
639#392C2311yescharacteristic
640#392C2314yes—
641#392C2312yes—
642#392C2314yes—
643#392C2314yes—
644#392C2312yes—
645#392C2312yes—
646#392C2314yes—
647#392C2312yes—
648#392C2312yes—
649#392C2314yes—
650#392C2314yes—
651#392C2314yes—
652#392C2312yes—
653#392C2312yes—
654#392C2312yes—
655#392C2311yescharacteristic
656#392C2314yes—
657#392C2314yes—
658#392C2312yes—
659#392C2314yes—
660#392C2314yes—
661#392C2314yes—
662#392C2314yes—
663#392C2314yes—
664#392C2314yes—
665#392C2314yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2314yes—
670#391C2312yes—
671#391C2312yes—
672#391C2314yes—
673#391C2314yes—
674#390C2312yes—
675#390C2312yes—
676#390C2312yes—
677#390C2312yes—
678#390C2314yes—
679#390C2314yes—
680#390C2312yes—
681#390C2312yes—
682#390C2312yes—
683#390C2314yes—
684#390C2314yes—
685#390C2314yes—
686#390C2314yes—
687#390C2312yes—
688#390C2312yes—
689#390C2314yes—
690#390C2314yes—
691#390C2314yes—
692#389C2314yes—
693#389C2314yes—
694#389C2312yes—
695#389C2312yes—
696#389C2312yes—
697#389C2312yes—
698#389C2312yes—
699#389C2312yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2312yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2312yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2312yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2312yes—
741#387C2314yes—
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#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2312yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2312yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2312yes—
787#385C2312yes—
788#385C2314yes—
789#385C2314yes—
790#384C2312yes—
791#384C2312yes—
792#383C2312yes—
793#383C2312yes—
794#383C2314yes—
795#382C2312yes—
796#382C2312yes—
797#382C2311yescharacteristic
798#382C2312yes—
799#382C2311yescharacteristic
800#382C2312yes—
801#382C2311yescharacteristic
802#382C2311yescharacteristic
803#381C2314yes—
804#381C2312yes—
805#381C2312yes—
806#381C2314yes—
807#380C2314yes—
808#380C2314yes—
809#380C2314yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2311yescharacteristic
814#380C2311yescharacteristic
815#380C2312yes—
816#380C2312yes—
817#380C2312yes—
818#380C2312yes—
819#379C2314yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2314yes—
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2314yes—
827C4×C4⋊C4C2311yescharacteristic
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2314yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2314yes—
846#376C2314yes—
847#376C2312yes—
848#376C2312yes—
849C2×#95C2312yes—
850C2×#95C2312yes—
851C25C2412yes—
852C2×#41—28no—
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—24no—
856C2×#41—216no—
857C2×#41—28no—
858C2×#41—42no—
859C2×#41—42no—
860C2×#41—42no—
861C2×#41—48no—
862C2×#41—44no—
863C2×#41—42no—
864C2×#41—44no—
865C2×#41—44no—
866C2×#41—84no—
867C2×#41—84no—
868C2×#41—84no—
869C2×#41C2×D418yes—
870C22×Q8C2411yescharacteristic
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2411yescharacteristic
874C22×Q8C2412yes—
875C22×Q8C2412yes—
876C22×Q8C2414yes—
877C22×D4—24no—
878C22×D4—42no—
879C22×D4—42no—
880C22×D4C2411yescharacteristic
881C22×D4C2412yes—
882C22×D4C2414yes—
883C22×D4C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2414yes—
888C22×D4C2412yes—
889C22×D4C2411yescharacteristic
890C22×D4C2411yescharacteristic
891C22×D4C2411yescharacteristic
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2411yescharacteristic
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2412yes—
899C22×D4C2414yes—
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2412yes—
904C22×D4C2414yes—
905C22×D4C2414yes—
906C22×D4C2414yes—
907C22×D4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2412yes—
911C23×C4C2414yes—
912C23×C4C2412yes—
913C23×C4C2411yescharacteristic
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2412yes—
920C23×C4C2414yes—
921C23×C4C2414yes—
922C23×C4C2412yes—
923C23×C4C2414yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2411yescharacteristic
928C23×C4C2411yescharacteristic
929C4⋊Q8—24no—
930C4⋊Q8—28no—
931C4⋊Q8—216no—
932C4⋊Q8—24no—
933C4⋊Q8—24no—
934C4⋊Q8—28no—
935C4⋊Q8—84no—
936#127—28no—
937#127—216no—
938#127—24no—
939#127—28no—
940#127—44no—
941#127—84no—
942#126—28no—
943#126—28no—
944#126—28no—
945#126—24no—
946#126—28no—
947#126—28no—
948#126—28no—
949#126—28no—
950#126—28no—
951#126—28no—
952#126—28no—
953#126—24no—
954#125—28no—
955#125—28no—
956#125—24no—
957#125—28no—
958#125—24no—
959#125—24no—
960#124—24no—
961#124—216no—
962#124—216no—
963#124—216no—
964#124—28no—
965#124—28no—
966#124—24no—
967#124—24no—
968#124—28no—
969#124—216no—
970#124—44no—
971#124—84no—
972#124—84no—
973#123—28no—
974#123—28no—
975#123—28no—
976#123—28no—
977#123—24no—
978#123—24no—
979#123—28no—
980#123—28no—
981#123—28no—
982#123—28no—
983#123—48no—
984#123—84no—
985#123—84no—
986C22⋊Q8—24no—
987C22⋊Q8—24no—
988C22⋊Q8—24no—
989C22⋊Q8—24no—
990C22⋊Q8—28no—
991C22⋊Q8—28no—
992C22⋊Q8—24no—
993C22⋊Q8—28no—
994C22⋊Q8—28no—
995C22⋊Q8—28no—
996C22⋊Q8—44no—
997C22⋊Q8—44no—
998C22⋊Q8—84no—
999#121—28no—
1000#121—216no—
1001#121—28no—
1002#121—28no—
1003#121—24no—
1004#121—24no—
1005#121—28no—
1006#121—28no—
1007#121—28no—
1008#121—28no—
1009#121—216no—
1010#121—28no—
1011#121—28no—
1012#121—216no—
1013#121—24no—
1014#121—216no—
1015#121—216no—
1016#121—216no—
1017#121—28no—
1018#121—44no—
1019#121—48no—
1020#121—44no—
1021#121—44no—
1022#121—44no—
1023#121—84no—
1024#121—84no—
1025#121—84no—
1026#120—28no—
1027#120—28no—
1028#120—48no—
1029#120—84no—
1030#120—84no—
1031C4×Q8—28no—
1032C4×Q8—24no—
1033C4×Q8—24no—
1034C4×Q8—24no—
1035C4×Q8—28no—
1036C4×Q8—24no—
1037C4×Q8—28no—
1038C4×Q8—24no—
1039C4×Q8C2×D418yes—
1040C4×Q8C2×D418yes—
1041C4×D4—24no—
1042C4×D4—24no—
1043C4×D4—216no—
1044C4×D4—28no—
1045C4×D4—28no—
1046C4×D4—216no—
1047C4×D4—28no—
1048C4×D4—28no—
1049C4×D4—24no—
1050C4×D4—24no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—216no—
1054C4×D4—24no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—216no—
1058C4×D4—28no—
1059C4×D4—24no—
1060C4×D4—28no—
1061C4×D4—24no—
1062C4×D4—28no—
1063C4×D4—24no—
1064C4×D4—24no—
1065C4×D4—28no—
1066C4×D4—44no—
1067C4×D4—44no—
1068C4×D4—48no—
1069C4×D4—48no—
1070C4×D4C2×D418yes—
1071C4×D4C2×D418yes—
1072C4×D4C2×D4116yes—
1073C4×D4C2×D4116yes—
1074#117—28no—
1075#117—24no—
1076#117—28no—
1077#117—216no—
1078#117—24no—
1079#117—28no—
1080#117—28no—
1081#117—216no—
1082#117—24no—
1083#117—24no—
1084#117—28no—
1085#117—28no—
1086#117—28no—
1087#117—44no—
1088#117C2×D4116yes—
1089#117C2×D418yes—
1090C2×C4⋊C4—28no—
1091C2×C4⋊C4—28no—
1092C2×C4⋊C4—28no—
1093C2×C4⋊C4—24no—
1094C2×C4⋊C4—44no—
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2411yescharacteristic
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2411yescharacteristic
1154C2×C4⋊C4C2412yes—
1155C2×C22⋊C4—28no—
1156C2×C22⋊C4—28no—
1157C2×C22⋊C4—28no—
1158C2×C22⋊C4—28no—
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2411yescharacteristic
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2411yescharacteristic
1185C2×C22⋊C4C2411yescharacteristic
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2411yescharacteristic
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2411yescharacteristic
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2411yescharacteristic
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
1236C2×C42—216no—
1237C2×C42—28no—
1238C2×C42C2×D4116yes—
1239C2×C42C2×D418yes—
1240C2×C42C2414yes—
1241C2×C42C2412yes—
1242C2×C42C2412yes—
1243C2×C42C2412yes—
1244C2×C42C2412yes—
1245C2×C42C2411yescharacteristic
1246C2×C42C2411yescharacteristic
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2412yes—
1250C2×C42C2412yes—
1251C2×C42C2414yes—
1252C2×C42C2414yes—
1253C2×C42C2414yes—
1254C2×C42C2414yes—
1255C2×C42C2414yes—
1256C2×C42C2411yescharacteristic
1257C2×C42C2412yes—
1258C2×C42C2411yescharacteristic
1259C2×C42C2412yes—
1260C2×C42C2411yescharacteristic
1261C2×C42C2411yescharacteristic
1262C2×C42C2412yes—
1263#95C2414yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2414yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2411yescharacteristic
1271#95C2411yescharacteristic
1272#95C2414yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2412yes—
1277#95C2412yes—
1278#95C2412yes—
1279#95C2411yescharacteristic
1280#95C2411yescharacteristic
1281#95C2412yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2412yes—
1287#95C2414yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2414yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2414yes—
1298#95C2412yes—
1299#95C2414yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309C24—24no—
1310C24—42no—
1311C24—42no—
1312C24—44no—
1313C24—44no—
1314C24C2511yescharacteristic
1315C24C2512yes—
1316C24C2511yescharacteristic
1317C24C2512yes—
1318C24C2514yes—
1319C24C2512yes—
1320C24C2511yescharacteristic
1321#41—416no—
1322#41—416no—
1323#41—432no—
1324#41—416no—
1325#41—432no—
1326#41—816no—
1327#41—832no—
1328C2×Q8—22no—
1329C2×Q8—22no—
1330C2×Q8—22no—
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—42no—
1340C2×Q8—44no—
1341C2×Q8—44no—
1342C2×Q8—44no—
1343C2×Q8—44no—
1344C2×Q8C22×D414yes—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—28no—
1349C2×D4—22no—
1350C2×D4—24no—
1351C2×D4—22no—
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—22no—
1361C2×D4—24no—
1362C2×D4—24no—
1363C2×D4—28no—
1364C2×D4—22no—
1365C2×D4—22no—
1366C2×D4—28no—
1367C2×D4—22no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—22no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—42no—
1376C2×D4—44no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—42no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—42no—
1398C2×D4—42no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—42no—
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×D4—44no—
1419C2×D4—416no—
1420C2×D4C22×D414yes—
1421C2×D4C22×D418yes—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—24no—
1425C22×C4—24no—
1426C22×C4—24no—
1427C22×C4—28no—
1428C22×C4—24no—
1429C22×C4—28no—
1430C22×C4—24no—
1431C22×C4—28no—
1432C22×C4—24no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—28no—
1437C22×C4—22no—
1438C22×C4—24no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—24no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—42no—
1449C22×C4—42no—
1450C22×C4—42no—
1451C22×C4—42no—
1452C22×C4—44no—
1453C22×C4—44no—
1454C22×C4—42no—
1455C22×C4—42no—
1456C22×C4—44no—
1457C22×C4—42no—
1458C22×C4—42no—
1459C22×C4—44no—
1460C22×C4—44no—
1461C22×C4—42no—
1462C22×C4—44no—
1463C22×C4—44no—
1464C22×C4—44no—
1465C22×C4—44no—
1466C22×C4—44no—
1467C22×C4—44no—
1468C22×C4—44no—
1469C22×C4—44no—
1470C22×C4C22×D414yes—
1471C22×C4C22×D418yes—
1472C22×C4C22×D418yes—
1473C22×C4C22×D418yes—
1474C22×C4C22×D414yes—
1475C22×C4C22×D414yes—
1476C22×C4C2512yes—
1477C22×C4C2514yes—
1478C22×C4C2512yes—
1479C22×C4C2514yes—
1480C22×C4C2512yes—
1481C22×C4C2512yes—
1482C22×C4C2512yes—
1483C22×C4C2512yes—
1484C22×C4C2511yescharacteristic
1485C22×C4C2512yes—
1486C22×C4C2514yes—
1487C22×C4C2511yescharacteristic
1488C22×C4C2511yescharacteristic
1489C22×C4C2512yes—
1490C22×C4C2511yescharacteristic
1491C22×C4C2511yescharacteristic
1492C22×C4C2512yes—
1493C22×C4C2511yescharacteristic
1494C22×C4C2511yescharacteristic
1495C22×C4C2512yes—
1496C22×C4C2511yescharacteristic
1497C22×C4C2512yes—
1498C22×C4C2512yes—
1499C22×C4C2511yescharacteristic
1500C22×C4C2511yescharacteristic
1501C22×C4C2511yescharacteristic
1502C22×C4C2512yes—
1503C22×C4C2511yescharacteristic
1504C4⋊C4—22no—
1505C4⋊C4—24no—
1506C4⋊C4—22no—
1507C4⋊C4—22no—
1508C4⋊C4—24no—
1509C4⋊C4—24no—
1510C4⋊C4—22no—
1511C4⋊C4—24no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—22no—
1519C4⋊C4—22no—
1520C4⋊C4—22no—
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—22no—
1524C4⋊C4—24no—
1525C4⋊C4—28no—
1526C4⋊C4—28no—
1527C4⋊C4—22no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—22no—
1534C4⋊C4—24no—
1535C4⋊C4—22no—
1536C4⋊C4—22no—
1537C4⋊C4—24no—
1538C4⋊C4—24no—
1539C4⋊C4—24no—
1540C4⋊C4—24no—
1541C4⋊C4—28no—
1542C4⋊C4—24no—
1543C4⋊C4—44no—
1544C4⋊C4—42no—
1545C4⋊C4—42no—
1546C4⋊C4—42no—
1547C4⋊C4—42no—
1548C4⋊C4—42no—
1549C4⋊C4—42no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—42no—
1553C4⋊C4—44no—
1554C4⋊C4—42no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—42no—
1558C4⋊C4—44no—
1559C4⋊C4—42no—
1560C4⋊C4C22×D414yes—
1561C4⋊C4C22×D418yes—
1562C4⋊C4C22×D414yes—
1563C4⋊C4C22×D418yes—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—28no—
1568C22⋊C4—22no—
1569C22⋊C4—24no—
1570C22⋊C4—22no—
1571C22⋊C4—22no—
1572C22⋊C4—24no—
1573C22⋊C4—22no—
1574C22⋊C4—22no—
1575C22⋊C4—22no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—24no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—24no—
1584C22⋊C4—22no—
1585C22⋊C4—24no—
1586C22⋊C4—28no—
1587C22⋊C4—28no—
1588C22⋊C4—28no—
1589C22⋊C4—28no—
1590C22⋊C4—28no—
1591C22⋊C4—24no—
1592C22⋊C4—22no—
1593C22⋊C4—22no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—22no—
1598C22⋊C4—24no—
1599C22⋊C4—28no—
1600C22⋊C4—24no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—42no—
1606C22⋊C4—42no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
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—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—42no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—42no—
1637C22⋊C4—42no—
1638C22⋊C4C22×D418yes—
1639C22⋊C4C22×D418yes—
1640C22⋊C4C22×D418yes—
1641C42—24no—
1642C42—28no—
1643C42—24no—
1644C42—28no—
1645C42—24no—
1646C42—24no—
1647C42—24no—
1648C42—24no—
1649C42—22no—
1650C42—22no—
1651C42—24no—
1652C42—24no—
1653C42—44no—
1654C42—44no—
1655C42—44no—
1656C42—44no—
1657C42C22×D418yes—
1658C42C22×D414yes—
1659C42C22×D414yes—
1660C42C22×D414yes—
1661C42C22×D418yes—
1662C42C22×D414yes—
1663C42C22×D418yes—
1664C23—21no—
1665C23—24no—
1666C23—21no—
1667C23—22no—
1668C23—22no—
1669C23—22no—
1670C23—24no—
1671C23—22no—
1672C23—21no—
1673C23—22no—
1674C23—21no—
1675C23—22no—
1676C23—24no—
1677C23—22no—
1678C23—24no—
1679C23—22no—
1680C23—22no—
1681C23—24no—
1682C23—22no—
1683C23—21no—
1684C23—22no—
1685C23—21no—
1686C23—24no—
1687C23—22no—
1688C23—24no—
1689C23—24no—
1690C23—22no—
1691C23—21no—
1692C23—21no—
1693C23—22no—
1694C23—22no—
1695C23—24no—
1696C23—22no—
1697C23—22no—
1698C23—24no—
1699C23—24no—
1700C23—22no—
1701C23—48no—
1702C23—84no—
1703C23—84no—
1704C23—164no—
1705C23—164no—
1706C23C23×D412yes—
1707C23C23×D414yes—
1708C23C2611yescharacteristic
1709Q8—28no—
1710Q8—28no—
1711Q8—44no—
1712Q8—82no—
1713Q8—84no—
1714Q8—84no—
1715Q8—88no—
1716D4—28no—
1717D4—48no—
1718D4—416no—
1719D4—48no—
1720D4—44no—
1721D4—48no—
1722D4—416no—
1723D4—48no—
1724D4—48no—
1725D4—44no—
1726D4—48no—
1727D4—82no—
1728D4—84no—
1729D4—84no—
1730D4—88no—
1731D4—84no—
1732D4—82no—
1733D4—82no—
1734D4—88no—
1735D4—88no—
1736D4—88no—
1737D4—84no—
1738D4—88no—
1739D4—84no—
1740D4—88no—
1741D4—164no—
1742D4—164no—
1743D4—164no—
1744C2×C4—22no—
1745C2×C4—24no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—24no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—28no—
1757C2×C4—22no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—24no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—22no—
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—21no—
1780C2×C4—21no—
1781C2×C4—22no—
1782C2×C4—24no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—24no—
1786C2×C4—24no—
1787C2×C4—22no—
1788C2×C4—21no—
1789C2×C4—22no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—24no—
1795C2×C4—24no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—24no—
1801C2×C4—22no—
1802C2×C4—24no—
1803C2×C4—24no—
1804C2×C4—22no—
1805C2×C4—48no—
1806C2×C4—44no—
1807C2×C4—48no—
1808C2×C4—44no—
1809C2×C4—48no—
1810C2×C4—416no—
1811C2×C4—48no—
1812C2×C4—416no—
1813C2×C4—48no—
1814C2×C4—416no—
1815C2×C4—48no—
1816C2×C4—44no—
1817C2×C4—48no—
1818C2×C4—44no—
1819C2×C4—84no—
1820C2×C4—84no—
1821C2×C4—84no—
1822C2×C4—84no—
1823C2×C4—84no—
1824C2×C4—164no—
1825C2×C4C23×D414yes—
1826C2×C4C23×D412yes—
1827C2×C4C23×D412yes—
1828C2×C4C23×D412yes—
1829C2×C4C23×D414yes—
1830C2×C4C23×D412yes—
1831C2×C4C23×D412yes—
1832C2×C4C23×D414yes—
1833C2×C4C23×D412yes—
1834C2×C4#58514yes—
1835C2×C4#58512yes—
1836C2×C4#58512yes—
1837C22—24no—
1838C22—22no—
1839C22—24no—
1840C22—22no—
1841C22—22no—
1842C22—24no—
1843C22—42no—
1844C22—44no—
1845C22—42no—
1846C22—44no—
1847C22—42no—
1848C22—44no—
1849C22—41no—
1850C22—42no—
1851C22—41no—
1852C22—42no—
1853C22—44no—
1854C22—42no—
1855C22—41no—
1856C22—41no—
1857C22—42no—
1858C22—44no—
1859C22—42no—
1860C22—44no—
1861C22—42no—
1862C22—44no—
1863C22—42no—
1864C22—44no—
1865C22—42no—
1866C22—41no—
1867C22—41no—
1868C22—42no—
1869C22—42no—
1870C22—44no—
1871C22—42no—
1872C22—42no—
1873C22—44no—
1874C22—44no—
1875C22—42no—
1876C22—168no—
1877C22C24×D411yescharacteristic
1878C22C2×#58512yes—
1879C22C2×#58511yescharacteristic
1880C22C2×#58511yescharacteristic
1881C22H(7,𝔽2)12yes—
1882C4—24no—
1883C4—22no—
1884C4—22no—
1885C4—24no—
1886C4—22no—
1887C4—22no—
1888C4—24no—
1889C4—22no—
1890C4—24no—
1891C4—42no—
1892C4—41no—
1893C4—41no—
1894C4—42no—
1895C4—44no—
1896C4—41no—
1897C4—42no—
1898C4—41no—
1899C4—42no—
1900C4—42no—
1901C4—42no—
1902C4—42no—
1903C4—42no—
1904C4—41no—
1905C4—41no—
1906C4—42no—
1907C4—44no—
1908C4—44no—
1909C4#344914yes—
1910C2—42no—
1911C2—44no—
1912C2—82no—
1913C2—84no—
1914C2—81no—
1915C2—82no—
1916C2—81no—
1917C2C2×#344911yescharacteristic
1918C2#6281111yescharacteristic
1919C2#6285211yescharacteristic
1920C2#6293712yes—
1921C2#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×#3521C2semidirect
2. C2×#3483C2semidirect
3. #42951C2semidirect
4. #42927C2semidirect
5. #42880C2semidirect
6. #42876C2semidirect
7. #42793C2semidirect
8. #42789C2semidirect
9. #42177C2semidirect
10. #41994C2semidirect
11. #41385C2semidirect
12. #41381C2semidirect
13. #40505C2semidirect
14. #40501C2semidirect
15. #39877C2semidirect
16. #39876C2semidirect
17. #38373C2semidirect
18. #38372C2semidirect
19. #37616C2semidirect
20. #37554C2semidirect
21. #37547C2semidirect
22. #37544C2semidirect
23. #36229C2semidirect
24. #36228C2semidirect
25. #36028C2semidirect
26. #36022C2semidirect
27. #36011C2semidirect
28. #35830C2semidirect
29. #35741C2semidirect
30. #35704C2semidirect
31. #35143C2semidirect
32. #35130C2semidirect
33. #34636C2semidirect
34. #34614C2semidirect
35. #34189C2semidirect
38. C2×Q82C22semidirect
42. C2×#555C22semidirect
43. C2×#555C22semidirect
44. C2×#555C22semidirect
54. C2×#550C22semidirect
55. C2×#550C22semidirect
64. C2×#532C22semidirect
65. C2×#532C22semidirect
66. C2×#532C22semidirect
74. C2×C4×#41C22semidirect
75. C2×C4×#41C22semidirect
76. C2×C4×#41C22semidirect
78. #2852C22semidirect
79. #2851C22semidirect
82. #2821C22semidirect
83. #2820C22semidirect
86. #2818C22semidirect
88. #2813C22semidirect
89. #2813C22semidirect
90. #2813C22semidirect
93. #2713C22semidirect
94. #2711C22semidirect
96. #2709C22semidirect
97. #2708C22semidirect
99. #2700C22semidirect
101. #2681C22semidirect
102. #2677C22semidirect
103. #2676C22semidirect
104. #2674C22semidirect
105. #2674C22semidirect
107. #2673C22semidirect
108. #2673C22semidirect
109. #2672C22semidirect
110. #2671C22semidirect
116. #2662C22semidirect
117. #2658C22semidirect
118. #2657C22semidirect
120. #2642C22semidirect
121. #2641C22semidirect
122. #2639C22semidirect
123. #2638C22semidirect
125. #2637C22semidirect
126. #2637C22semidirect
129. #2636C22semidirect
130. #2636C22semidirect
131. #2636C22semidirect
132. #2636C22semidirect
133. #2636C22semidirect
137. #2635C22semidirect
138. #2635C22semidirect
139. #2634C22semidirect
140. #2633C22semidirect
141. #2632C22semidirect
142. #2631C22semidirect
145. #2630C22semidirect
146. #2630C22semidirect
147. #2629C22semidirect
149. #2628C22semidirect
150. #2625C22semidirect
153. #2620C22semidirect
154. #2620C22semidirect
157. #2619C22semidirect
158. #2618C22semidirect
160. #2616C22semidirect
162. #2609C22semidirect
164. #2604C22semidirect
167. #2603C22semidirect
168. #2603C22semidirect
170. #2601C22semidirect
171. #2598C22semidirect
172. #2598C22semidirect
173. #2591C22semidirect
174. #2591C22semidirect
175. #2581C22semidirect
177. #2580C22semidirect
178. #2579C22semidirect
179. #2568C22semidirect
180. #2566C22semidirect
181. #2559C22semidirect
182. #2557C22semidirect
184. #2555C22semidirect
185. #2551C22semidirect
186. #2550C22semidirect
187. #2548C22semidirect
188. #2545C22semidirect
190. #2544C22semidirect
197. #2536C22semidirect
201. #2521C22semidirect
202. #2498C22semidirect
206. #2491C22semidirect
207. #2490C22semidirect
208. #2484C22semidirect
210. #2479C22semidirect
211. #2477C22semidirect
212. #2476C22semidirect
213. #2475C22semidirect
214. #2474C22semidirect
217. #2467C22semidirect
219. #2464C22semidirect
220. #2463C22semidirect
222. #2460C22semidirect
223. #2459C22semidirect
225. #2456C22semidirect
227. #2446C22semidirect
231. #2432C22semidirect
232. #2432C22semidirect
237. #2430C22semidirect
238. #2430C22semidirect
239. #2428C22semidirect
241. #2423C22semidirect
245. #2417C22semidirect
248. #2416C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2406C22semidirect
255. #2406C22semidirect
259. #2396C22semidirect
260. #2396C22semidirect
262. #2395C22semidirect
265. #2392C22semidirect
266. #2392C22semidirect
267. #2392C22semidirect
269. #2388C22semidirect
270. #2367C22semidirect
274. #2362C22semidirect
275. #2361C22semidirect
279. #2356C22semidirect
280. #2356C22semidirect
281. #2356C22semidirect
283. #2353C22semidirect
284. #2353C22semidirect
285. #2353C22semidirect
286. #2352C22semidirect
287. #2325C22semidirect
288. #2322C22semidirect
290. #2314C22semidirect
292. C4×C22⋊Q8C22semidirect
294. #2290C22semidirect
295. #2290C22semidirect
296. #2285C22semidirect
297. #2283C22semidirect
298. #2283C22semidirect
299. C2×#382C22semidirect
300. #2274C22semidirect
449. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35212
C2×#34832
#429512
#429272
#428802
#428762
#427932
#427892
#421772
#419942
#413852
#413812
#405052
#405012
#398772
#398762
#383732
#383722
#376162
#375542
#375472
#375442
#362292
#362282
#360282
#360222
#360112
#358302
#357412
#357042
#351432
#351302
#346362
#346142
#341892