Finite Group Databasebeta

← #7654265

Subgroups — #7654265

Order 512.

6917 conjugacy classes of subgroups.

The subgroup lattice has 1958 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3482C211yesmaximal, characteristic, complemented
2C2×#3480C211yesmaximal, characteristic, complemented
3#42883C212yesmaximal, complemented
4#42806C212yesmaximal, complemented
5#41416C214yesmaximal, complemented
6#40598C214yesmaximal, complemented
7#39859C212yesmaximal, complemented
8#39858C212yesmaximal, complemented
9#39725C211yesmaximal, characteristic, complemented
10#39724C211yesmaximal, characteristic, complemented
11#39719C212yesmaximal, complemented
12#39718C212yesmaximal, complemented
13#39139C211yesmaximal, characteristic, complemented
14#39138C211yesmaximal, characteristic, complemented
15#39131C212yesmaximal, complemented
16#39130C212yesmaximal, complemented
17#38379C214yesmaximal, complemented
18#38378C214yesmaximal, complemented
19#37616C211yesmaximal, characteristic, complemented
20#37559C212yesmaximal, complemented
21#36580C211yesmaximal, characteristic, complemented
22#36579C211yesmaximal, characteristic, complemented
23#36504C211yesmaximal, characteristic, complemented
24#36493C211yesmaximal, characteristic, complemented
25#36229C212yesmaximal, complemented
26#36228C212yesmaximal, complemented
27#36015C212yesmaximal, complemented
28#35768C212yesmaximal, complemented
29#35292C211yesmaximal, characteristic, complemented
30#35210C212yesmaximal, complemented
31#35190C212yesmaximal, complemented
32#35189C211yesmaximal, characteristic, complemented
33#34976C211yesmaximal, characteristic, complemented
34#34909C212yesmaximal, complemented
35#34187C211yesmaximal, characteristic, complemented
36#3482—216no—
37#3480—216no—
38C2×#559C2212yes—
39C2×#559C2211yescharacteristic
40C2×#557C2211yescharacteristic
41C2×#557C2211yescharacteristic
42C2×#556C2212yes—
43C2×#556C2211yescharacteristic
44C2×#556C2211yescharacteristic
45C2×#556C2212yes—
46C2×#553C2214yes—
47C2×#553C2212yes—
48C2×#552C2211yescharacteristic
49C2×#552C2211yescharacteristic
50C2×#552C2212yes—
51C2×#552C2212yes—
52C2×#550C2211yescharacteristic
53C2×D4×Q8C2211yescharacteristic
54C2×#548C2212yes—
55C2×#548C2211yescharacteristic
56C2×#548C2211yescharacteristic
57C2×#547C2212yes—
58C2×#547C2211yescharacteristic
59C2×#533C2212yes—
60C2×#533C2211yescharacteristic
61C2×#532C2212yes—
62C2×#532C2211yescharacteristic
63C2×#529C2211yescharacteristic
64C2×#529C2212yes—
65C2×#529C2212yes—
66C2×#529C2212yes—
67C2×#529C2211yescharacteristic
68C2×#529C2214yes—
69C2×C4×#41C2212yes—
70C2×C4×#41C2212yes—
71C2×C4×#41C2211yescharacteristic
72C2×C4×#41C2212yes—
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic
75C22×C4×Q8C2211yescharacteristic
76C22×C4×Q8C2211yescharacteristic
77#2857C2211yescharacteristic
78#2857C2211yescharacteristic
79#2856C2211yescharacteristic
80#2856C2211yescharacteristic
81#2852C2214yes—
82#2852C2214yes—
83#2851C2212yes—
84#2850C2212yes—
85#2850C2212yes—
86#2850C2212yes—
87#2850C2212yes—
88#2850C2212yes—
89#2816C2214yes—
90#2815C2214yes—
91#2813C2214yes—
92#2733C2214yes—
93#2732C2214yes—
94#2731C2214yes—
95#2730C2214yes—
96#2730C2214yes—
97#2730C2214yes—
98#2729C2214yes—
99#2728C2214yes—
100#2723C2214yes—
101#2721C2214yes—
102#2721C2214yes—
103#2719C2214yes—
104#2716C2214yes—
105#2714C2214yes—
106#2714C2214yes—
107#2711C2214yes—
108#2696C2214yes—
109#2694C2214yes—
110#2694C2214yes—
111#2690C2214yes—
112#2676C2214yes—
113#2674C2214yes—
114#2673C2214yes—
115#2673C2214yes—
116#2661C2214yes—
117#2661C2214yes—
118#2638C2214yes—
119#2636C2214yes—
120#2635C2214yes—
121#2635C2214yes—
122#2635C2214yes—
123#2633C2214yes—
124#2631C2214yes—
125#2630C2214yes—
126#2624C2212yes—
127#2621C2212yes—
128#2621C2212yes—
129#2620C2212yes—
130#2620C2212yes—
131#2620C2212yes—
132#2619C2212yes—
133#2619C2212yes—
134#2619C2212yes—
135#2615C2212yes—
136#2611C2214yes—
137#2610C2214yes—
138#2609C2212yes—
139#2609C2212yes—
140#2603C2214yes—
141#2603C2214yes—
142#2602C2214yes—
143#2602C2214yes—
144#2601C2214yes—
145#2600C2214yes—
146#2600C2214yes—
147#2599C2214yes—
148#2598C2214yes—
149#2598C2214yes—
150#2598C2214yes—
151#2592C2212yes—
152#2592C2212yes—
153#2592C2212yes—
154#2582C2211yescharacteristic
155#2582C2211yescharacteristic
156#2581C2212yes—
157#2581C2212yes—
158#2580C2212yes—
159#2580C2212yes—
160#2580C2212yes—
161#2568C2212yes—
162#2568C2211yescharacteristic
163#2566C2212yes—
164#2560C2214yes—
165#2558C2214yes—
166#2554C2214yes—
167#2554C2214yes—
168#2552C2212yes—
169#2550C2212yes—
170#2548C2212yes—
171#2548C2211yescharacteristic
172#2544C2212yes—
173#2542C2212yes—
174#2542C2211yescharacteristic
175#2541C2212yes—
176#2541C2211yescharacteristic
177#2541C2212yes—
178#2540C2212yes—
179#2540C2212yes—
180#2540C2212yes—
181#2540C2212yes—
182#2538C2211yescharacteristic
183#2538C2211yescharacteristic
184#2538C2211yescharacteristic
185#2538C2211yescharacteristic
186#2537C2211yescharacteristic
187#2537C2211yescharacteristic
188#2536C2212yes—
189#2536C2212yes—
190#2535C2212yes—
191#2535C2212yes—
192#2535C2212yes—
193#2519C2214yes—
194#2512C2214yes—
195#2500C2214yes—
196#2491C2212yes—
197#2490C2212yes—
198#2490C2212yes—
199#2489C2212yes—
200#2485C2211yescharacteristic
201#2485C2212yes—
202#2485C2211yescharacteristic
203#2485C2212yes—
204#2481C2214yes—
205#2479C2214yes—
206#2479C2214yes—
207#2477C2214yes—
208#2475C2214yes—
209#2471C2214yes—
210#2471C2214yes—
211#2469C2214yes—
212#2467C2214yes—
213#2467C2214yes—
214#2463C2214yes—
215#2461C2214yes—
216#2460C2214yes—
217#2458C2214yes—
218#2456C2214yes—
219#2456C2214yes—
220#2448C2212yes—
221#2448C2212yes—
222#2448C2212yes—
223#2446C2212yes—
224#2445C2214yes—
225#2443C2214yes—
226#2436C2212yes—
227#2432C2212yes—
228#2431C2214yes—
229#2431C2212yes—
230#2431C2212yes—
231#2423C2212yes—
232#2423C2212yes—
233#2421C2212yes—
234#2421C2212yes—
235#2415C2212yes—
236#2414C2212yes—
237#2414C2212yes—
238#2414C2212yes—
239#2409C2212yes—
240#2407C2212yes—
241#2407C2212yes—
242#2407C2212yes—
243#2407C2212yes—
244#2407C2212yes—
245#2407C2211yescharacteristic
246#2407C2212yes—
247#2407C2212yes—
248#2407C2212yes—
249#2407C2212yes—
250#2407C2211yescharacteristic
251#2395C2214yes—
252#2392C2212yes—
253#2392C2212yes—
254#2388C2214yes—
255#2367C2212yes—
256#2366C2212yes—
257#2363C2212yes—
258#2363C2212yes—
259#2362C2212yes—
260#2361C2212yes—
261#2356C2212yes—
262#2356C2212yes—
263#2356C2214yes—
264#2355C2212yes—
265#2355C2212yes—
266#2355C2211yescharacteristic
267#2355C2211yescharacteristic
268#2355C2211yescharacteristic
269#2355C2211yescharacteristic
270#2354C2212yes—
271#2352C2212yes—
272#2328C2214yes—
273#2326C2214yes—
274#2324C2212yes—
275#2324C2212yes—
276#2324C2212yes—
277#2324C2212yes—
278#2324C2212yes—
279#2323C2212yes—
280#2323C2212yes—
281#2323C2212yes—
282#2313C2214yes—
283#2310C2212yes—
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2212yes—
287C4×C22⋊Q8C2212yes—
288C4×C22⋊Q8C2211yescharacteristic
289C4×#121C2212yes—
290C4×#121C2211yescharacteristic
291C4×#121C2212yes—
292C4×#121C2212yes—
293C4×#121C2211yescharacteristic
294#2290C2214yes—
295#2290C2214yes—
296#2285C2211yescharacteristic
297#2285C2211yescharacteristic
298#2283C2212yes—
299#2283C2212yes—
300#2274C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C22×#41C2311yescharacteristic
305C22×#41C2311yescharacteristic
306C22×#41C2312yes—
307C23×Q8C2311yescharacteristic
308C23×Q8C2311yescharacteristic
309#559—28no—
310#559—216no—
311#557—28no—
312#557—28no—
313#556—28no—
314#556—216no—
315#556—28no—
316#556—216no—
317#553—232no—
318#553—216no—
319#552—28no—
320#552—216no—
321#552—28no—
322#552—216no—
323#550—28no—
324D4×Q8—28no—
325#548—216no—
326#548—28no—
327#548—28no—
328#547—216no—
329#547—28no—
330#533—28no—
331#533—216no—
332#532—216no—
333#532—28no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×#127C2311yescharacteristic
341C2×#127C2312yes—
342C2×#127C2314yes—
343C2×#127C2312yes—
344#529—216no—
345#529—232no—
346#529—28no—
347#529—216no—
348#529—28no—
349#529—216no—
350C2×#126C2314yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#125C2311yescharacteristic
360C2×#125C2312yes—
361C2×#125C2314yes—
362C2×#125C2312yes—
363C2×#125C2311yescharacteristic
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#125C2312yes—
367C2×#125C2312yes—
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2311yescharacteristic
372C2×#124C2312yes—
373C2×#124C2311yescharacteristic
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2314yes—
377C2×#124C2314yes—
378C2×#124C2312yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2314yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2314yes—
387C2×#123C2314yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2312yes—
410C2×#121C2314yes—
411C2×#121C2312yes—
412C2×#121C2311yescharacteristic
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2314yes—
416C2×#121C2312yes—
417C2×#121C2314yes—
418C2×#121C2311yescharacteristic
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2312yes—
424C2×#121C2312yes—
425C2×#121C2311yescharacteristic
426C2×#121C2312yes—
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2312yes—
430C2×#121C2311yescharacteristic
431C2×#121C2312yes—
432C2×#121C2312yes—
433C4×#41—216no—
434C4×#41—28no—
435C4×#41—216no—
436C4×#41—28no—
437C4×#41—216no—
438C4×#41—28no—
439C2×C4×Q8—28no—
440C2×C4×Q8D4116yescomplemented
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2312yes—
444C2×C4×Q8C2311yescharacteristic
445C2×C4×Q8C2311yescharacteristic
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2312yes—
459C2×C4×Q8C2311yescharacteristic
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2314yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2314yes—
473C2×C4×D4C2314yes—
474C2×C4×D4C2312yes—
475C2×C4×D4C2311yescharacteristic
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2312yes—
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2314yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2314yes—
494C2×C4×D4C2314yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2311yescharacteristic
499C2×#117C2311yescharacteristic
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2314yes—
503C2×#117C2312yes—
504C2×#117C2312yes—
505C2×#117C2311yescharacteristic
506C2×#117C2311yescharacteristic
507C2×#117C2312yes—
508C2×#117C2311yescharacteristic
509C2×#117C2312yes—
510C2×#117C2314yes—
511C2×#117C2312yes—
512C2×#117C2312yes—
513C22×C4⋊C4C2311yescharacteristic
514C22×C4⋊C4C2312yes—
515C22×C4⋊C4C2312yes—
516C22×C4⋊C4C2311yescharacteristic
517C22×C42C2312yes—
518C22×C42C2312yes—
519C22×C42C2312yes—
520C22×C42C2314yes—
521C22×C42C2311yescharacteristic
522C22×C42C2311yescharacteristic
523C22×C42C2312yes—
524C22×C42C2311yescharacteristic
525#400C2314yes—
526#400C2314yes—
527#400C2314yes—
528#400C2314yes—
529#400C2314yes—
530#399C2314yes—
531#399C2314yes—
532#399C2314yes—
533#399C2314yes—
534#399C2314yes—
535#399C2314yes—
536#399C2314yes—
537#399C2314yes—
538#398C2312yes—
539#398C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2312yes—
543#398C2314yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#397C2314yes—
548#397C2314yes—
549#397C2314yes—
550#397C2314yes—
551#397C2314yes—
552#397C2312yes—
553#397C2314yes—
554#397C2312yes—
555#397C2314yes—
556#397C2314yes—
557#397C2314yes—
558#397C2314yes—
559#396C2314yes—
560#396C2314yes—
561#396C2314yes—
562#396C2314yes—
563#396C2312yes—
564#396C2312yes—
565#396C2312yes—
566#396C2312yes—
567#396C2314yes—
568#396C2314yes—
569#395C2314yes—
570#395C2314yes—
571#394C2314yes—
572#394C2312yes—
573#394C2314yes—
574#394C2314yes—
575#394C2314yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#394C2314yes—
580#394C2314yes—
581#394C2312yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2312yes—
586#394C2314yes—
587#394C2312yes—
588#394C2312yes—
589#394C2314yes—
590#394C2314yes—
591#394C2314yes—
592#394C2314yes—
593#394C2314yes—
594#394C2314yes—
595#394C2312yes—
596#394C2314yes—
597#393C2314yes—
598#393C2314yes—
599#393C2314yes—
600#393C2314yes—
601#393C2314yes—
602#392C2314yes—
603#392C2314yes—
604#392C2314yes—
605#392C2314yes—
606#392C2314yes—
607#392C2314yes—
608#392C2314yes—
609#392C2314yes—
610#392C2314yes—
611#392C2314yes—
612#392C2314yes—
613#392C2314yes—
614#392C2314yes—
615#392C2314yes—
616#392C2314yes—
617#392C2314yes—
618#392C2312yes—
619#392C2314yes—
620#392C2312yes—
621#391C2314yes—
622#391C2312yes—
623#391C2312yes—
624#391C2312yes—
625#391C2312yes—
626#391C2314yes—
627#391C2314yes—
628#391C2312yes—
629#391C2311yescharacteristic
630#391C2312yes—
631#391C2312yes—
632#391C2312yes—
633#391C2312yes—
634#391C2312yes—
635#391C2311yescharacteristic
636#391C2312yes—
637#391C2312yes—
638#390C2314yes—
639#390C2312yes—
640#390C2312yes—
641#390C2312yes—
642#390C2312yes—
643#390C2312yes—
644#390C2312yes—
645#390C2312yes—
646#390C2314yes—
647#390C2314yes—
648#390C2314yes—
649#390C2314yes—
650#390C2312yes—
651#390C2312yes—
652#390C2312yes—
653#390C2312yes—
654#390C2314yes—
655#390C2314yes—
656#390C2314yes—
657#390C2311yescharacteristic
658#390C2311yescharacteristic
659#390C2312yes—
660#390C2314yes—
661#390C2314yes—
662#390C2314yes—
663#390C2314yes—
664#390C2312yes—
665#390C2312yes—
666#389C2311yescharacteristic
667#389C2312yes—
668#389C2312yes—
669#389C2314yes—
670#389C2314yes—
671#389C2314yes—
672#389C2311yescharacteristic
673#389C2312yes—
674#389C2312yes—
675#389C2311yescharacteristic
676#389C2312yes—
677#389C2312yes—
678#389C2311yescharacteristic
679#389C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2312yes—
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#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2312yes—
708#388C2314yes—
709#388C2314yes—
710#388C2312yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2312yes—
716#388C2312yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2312yes—
734#387C2312yes—
735#387C2314yes—
736#387C2314yes—
737#387C2312yes—
738#387C2312yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2312yes—
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#386C2314yes—
762#386C2312yes—
763#386C2312yes—
764#386C2312yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2312yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2312yes—
781#385C2312yes—
782#385C2312yes—
783#384C2312yes—
784#384C2314yes—
785#384C2311yescharacteristic
786#384C2311yescharacteristic
787#384C2311yescharacteristic
788#384C2311yescharacteristic
789#383C2314yes—
790#383C2314yes—
791#382C2312yes—
792#382C2314yes—
793#382C2312yes—
794#382C2312yes—
795#382C2312yes—
796#382C2312yes—
797#382C2312yes—
798#382C2312yes—
799#381C2314yes—
800#381C2314yes—
801#380C2312yes—
802#380C2312yes—
803#380C2311yescharacteristic
804#380C2312yes—
805#380C2312yes—
806#380C2311yescharacteristic
807#380C2312yes—
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2311yescharacteristic
814#380C2312yes—
815#380C2311yescharacteristic
816#380C2312yes—
817#380C2312yes—
818#380C2311yescharacteristic
819#380C2311yescharacteristic
820C4×C4⋊C4C2314yes—
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2314yes—
832C4×C4⋊C4C2311yescharacteristic
833C4×C4⋊C4C2314yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2314yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2312yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2314yes—
849#376C2314yes—
850#376C2314yes—
851C2×#41—24no—
852C2×#41—28no—
853C2×#41—28no—
854C2×#41—24no—
855C2×#41—24no—
856C2×#41—28no—
857C2×#41—44no—
858C2×#41—42no—
859C2×#41—44no—
860C2×#41—44no—
861C2×#41—42no—
862C2×#41—42no—
863C2×#41—44no—
864C2×#41—44no—
865C2×#41—42no—
866C2×#41—42no—
867C2×#41—42no—
868C2×#41—44no—
869C22×Q8—24no—
870C22×Q8—42no—
871C22×Q8—42no—
872C22×Q8—42no—
873C22×Q8—42no—
874C22×Q8C2×D418yes—
875C22×Q8C2411yescharacteristic
876C22×Q8C2412yes—
877C22×Q8C2411yescharacteristic
878C22×Q8C2411yescharacteristic
879C22×Q8C2412yes—
880C22×Q8C2411yescharacteristic
881C22×Q8C2411yescharacteristic
882C22×Q8C2412yes—
883C22×Q8C2412yes—
884C22×D4C2411yescharacteristic
885C22×D4C2411yescharacteristic
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2411yescharacteristic
889C22×D4C2411yescharacteristic
890C22×D4C2412yes—
891C22×D4C2414yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2411yescharacteristic
895C22×D4C2412yes—
896C22×D4C2414yes—
897C22×D4C2412yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2414yes—
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2411yescharacteristic
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2411yescharacteristic
918C23×C4C2412yes—
919C23×C4C2414yes—
920C23×C4C2412yes—
921C23×C4C2414yes—
922C23×C4C2412yes—
923C23×C4C2414yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2411yescharacteristic
927C23×C4C2412yes—
928C4⋊Q8—24no—
929C4⋊Q8—28no—
930C4⋊Q8—24no—
931C4⋊Q8—28no—
932C4⋊Q8—24no—
933C4⋊Q8—28no—
934#127—24no—
935#127—28no—
936#127—44no—
937#127—48no—
938#126—28no—
939#126—28no—
940#126—28no—
941#126—216no—
942#126—216no—
943#126—216no—
944#126—28no—
945#126—28no—
946#126—28no—
947#125—24no—
948#125—28no—
949#125—28no—
950#125—216no—
951#125—28no—
952#125—28no—
953#125—28no—
954#125—24no—
955#125—28no—
956#124—24no—
957#124—28no—
958#124—28no—
959#124—216no—
960#124—24no—
961#124—28no—
962#124—28no—
963#124—28no—
964#124—28no—
965#124—44no—
966#124—48no—
967#123—28no—
968#123—28no—
969#123—28no—
970#123—28no—
971#123—28no—
972#123—28no—
973#123—216no—
974#123—216no—
975#123—216no—
976C22⋊Q8—28no—
977C22⋊Q8—216no—
978C22⋊Q8—24no—
979C22⋊Q8—28no—
980C22⋊Q8—24no—
981C22⋊Q8—28no—
982C22⋊Q8—24no—
983C22⋊Q8—28no—
984C22⋊Q8—28no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—24no—
988C22⋊Q8—28no—
989C22⋊Q8—44no—
990C22⋊Q8—44no—
991C22⋊Q8—44no—
992C22⋊Q8—42no—
993C22⋊Q8—44no—
994C22⋊Q8—44no—
995C22⋊Q8—44no—
996C22⋊Q8—44no—
997C22⋊Q8—42no—
998#121—24no—
999#121—28no—
1000#121—28no—
1001#121—216no—
1002#121—28no—
1003#121—216no—
1004#121—24no—
1005#121—28no—
1006#121—28no—
1007#121—216no—
1008#121—44no—
1009#121—44no—
1010#121—44no—
1011#121—44no—
1012#121—44no—
1013#121—42no—
1014#121—44no—
1015#121—44no—
1016#121—44no—
1017#121—44no—
1018#121—42no—
1019#121—44no—
1020#121—44no—
1021C4×Q8—24no—
1022C4×Q8—28no—
1023C4×Q8—24no—
1024C4×Q8—24no—
1025C4×Q8—28no—
1026C4×Q8—28no—
1027C4×Q8—24no—
1028C4×Q8—24no—
1029C4×Q8—28no—
1030C4×Q8—28no—
1031C4×Q8—24no—
1032C4×Q8—24no—
1033C4×Q8—28no—
1034C4×Q8—24no—
1035C4×Q8—28no—
1036C4×Q8C2×D418yes—
1037C4×Q8C2×D418yes—
1038C4×Q8C2×D418yes—
1039C4×Q8C2×D4116yes—
1040C4×Q8C2×D418yes—
1041C4×Q8C2×D4116yes—
1042C4×D4—24no—
1043C4×D4—28no—
1044C4×D4—24no—
1045C4×D4—24no—
1046C4×D4—28no—
1047C4×D4—24no—
1048C4×D4—28no—
1049C4×D4—28no—
1050C4×D4—216no—
1051C4×D4—216no—
1052C4×D4—28no—
1053C4×D4—24no—
1054C4×D4—28no—
1055C4×D4—28no—
1056C4×D4—216no—
1057C4×D4—28no—
1058C4×D4—24no—
1059C4×D4—24no—
1060C4×D4—28no—
1061C4×D4—216no—
1062C4×D4—28no—
1063C4×D4—24no—
1064C4×D4—28no—
1065C4×D4—24no—
1066C4×D4—28no—
1067C4×D4—28no—
1068C4×D4—24no—
1069C4×D4—28no—
1070C4×D4—216no—
1071C4×D4—44no—
1072C4×D4—44no—
1073C4×D4—48no—
1074C4×D4—48no—
1075#117—24no—
1076#117—24no—
1077#117—28no—
1078#117—24no—
1079#117—28no—
1080#117—28no—
1081#117—216no—
1082#117—28no—
1083#117—216no—
1084#117—28no—
1085#117—24no—
1086#117—28no—
1087#117—24no—
1088#117—28no—
1089#117—28no—
1090#117—28no—
1091#117—44no—
1092#117—44no—
1093C2×C4⋊C4—24no—
1094C2×C4⋊C4—28no—
1095C2×C4⋊C4C2×D418yes—
1096C2×C4⋊C4C2×D4116yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2411yescharacteristic
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⋊C4C2414yes—
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2411yescharacteristic
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2411yescharacteristic
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2411yescharacteristic
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C22⋊C4C2411yescharacteristic
1166C2×C22⋊C4C2411yescharacteristic
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2411yescharacteristic
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2411yescharacteristic
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C42—28no—
1233C2×C42—24no—
1234C2×C42—216no—
1235C2×C42—28no—
1236C2×C42—28no—
1237C2×C42—24no—
1238C2×C42C2×D4116yes—
1239C2×C42C2×D418yes—
1240C2×C42C2412yes—
1241C2×C42C2411yescharacteristic
1242C2×C42C2412yes—
1243C2×C42C2411yescharacteristic
1244C2×C42C2412yes—
1245C2×C42C2414yes—
1246C2×C42C2412yes—
1247C2×C42C2412yes—
1248C2×C42C2411yescharacteristic
1249C2×C42C2412yes—
1250C2×C42C2412yes—
1251C2×C42C2412yes—
1252C2×C42C2414yes—
1253C2×C42C2411yescharacteristic
1254C2×C42C2412yes—
1255C2×C42C2411yescharacteristic
1256C2×C42C2412yes—
1257C2×C42C2411yescharacteristic
1258C2×C42C2414yes—
1259C2×C42C2414yes—
1260C2×C42C2414yes—
1261C2×C42C2414yes—
1262C2×C42C2414yes—
1263C2×C42C2411yescharacteristic
1264C2×C42C2412yes—
1265C2×C42C2411yescharacteristic
1266C2×C42C2412yes—
1267C2×C42C2412yes—
1268C2×C42C2411yescharacteristic
1269C2×C42C2412yes—
1270C2×C42C2411yescharacteristic
1271#95C2412yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2414yes—
1297#95C2412yes—
1298#95C2414yes—
1299#95C2412yes—
1300#95C2414yes—
1301#95C2412yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315C24C2511yescharacteristic
1316C24C2512yes—
1317C24C2512yes—
1318C24C2514yes—
1319C24C2511yescharacteristic
1320C24C2511yescharacteristic
1321#41—432no—
1322#41—416no—
1323#41—432no—
1324#41—416no—
1325#41—416no—
1326#41—432no—
1327C2×Q8—24no—
1328C2×Q8—22no—
1329C2×Q8—22no—
1330C2×Q8—24no—
1331C2×Q8—24no—
1332C2×Q8—22no—
1333C2×Q8—22no—
1334C2×Q8—22no—
1335C2×Q8—22no—
1336C2×Q8—22no—
1337C2×Q8—22no—
1338C2×Q8—22no—
1339C2×Q8—22no—
1340C2×Q8—24no—
1341C2×Q8—24no—
1342C2×Q8—22no—
1343C2×Q8—22no—
1344C2×Q8—24no—
1345C2×Q8—42no—
1346C2×Q8—42no—
1347C2×Q8—42no—
1348C2×Q8—42no—
1349C2×Q8—42no—
1350C2×Q8—41no—
1351C2×Q8—416no—
1352C2×Q8—416no—
1353C2×Q8C22×D414yes—
1354C2×Q8C22×D414yes—
1355C2×Q8C22×D418yes—
1356C2×D4—22no—
1357C2×D4—22no—
1358C2×D4—24no—
1359C2×D4—28no—
1360C2×D4—22no—
1361C2×D4—24no—
1362C2×D4—22no—
1363C2×D4—24no—
1364C2×D4—28no—
1365C2×D4—24no—
1366C2×D4—22no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—22no—
1370C2×D4—28no—
1371C2×D4—24no—
1372C2×D4—22no—
1373C2×D4—24no—
1374C2×D4—24no—
1375C2×D4—28no—
1376C2×D4—22no—
1377C2×D4—22no—
1378C2×D4—24no—
1379C2×D4—22no—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—22no—
1383C2×D4—24no—
1384C2×D4—22no—
1385C2×D4—42no—
1386C2×D4—41no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—41no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—42no—
1398C2×D4—41no—
1399C2×D4—42no—
1400C2×D4—42no—
1401C2×D4—44no—
1402C2×D4—42no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—44no—
1406C2×D4—42no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—42no—
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—44no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C22×C4—22no—
1423C22×C4—22no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—24no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—24no—
1430C22×C4—22no—
1431C22×C4—24no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—24no—
1435C22×C4—28no—
1436C22×C4—24no—
1437C22×C4—28no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—22no—
1441C22×C4—24no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—24no—
1450C22×C4—22no—
1451C22×C4—22no—
1452C22×C4—22no—
1453C22×C4—22no—
1454C22×C4—24no—
1455C22×C4—24no—
1456C22×C4—22no—
1457C22×C4—28no—
1458C22×C4—24no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—42no—
1466C22×C4—42no—
1467C22×C4—41no—
1468C22×C4—41no—
1469C22×C4—41no—
1470C22×C4—41no—
1471C22×C4—42no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—42no—
1475C22×C4—44no—
1476C22×C4—44no—
1477C22×C4—42no—
1478C22×C4—42no—
1479C22×C4—44no—
1480C22×C4—44no—
1481C22×C4—42no—
1482C22×C4—42no—
1483C22×C4C22×D414yes—
1484C22×C4C22×D414yes—
1485C22×C4C22×D418yes—
1486C22×C4C22×D414yes—
1487C22×C4C22×D418yes—
1488C22×C4C2512yes—
1489C22×C4C2512yes—
1490C22×C4C2514yes—
1491C22×C4C2512yes—
1492C22×C4C2514yes—
1493C22×C4C2512yes—
1494C22×C4C2512yes—
1495C22×C4C2512yes—
1496C22×C4C2511yescharacteristic
1497C22×C4C2511yescharacteristic
1498C22×C4C2512yes—
1499C22×C4C2514yes—
1500C22×C4C2512yes—
1501C22×C4C2511yescharacteristic
1502C22×C4C2512yes—
1503C22×C4C2511yescharacteristic
1504C22×C4C2511yescharacteristic
1505C22×C4C2512yes—
1506C22×C4C2511yescharacteristic
1507C22×C4C2512yes—
1508C22×C4C2512yes—
1509C22×C4C2512yes—
1510C22×C4C2512yes—
1511C22×C4C2511yescharacteristic
1512C22×C4C2511yescharacteristic
1513C22×C4C2511yescharacteristic
1514C22×C4C2511yescharacteristic
1515C22×C4C2511yescharacteristic
1516C22×C4C2511yescharacteristic
1517C4⋊C4—24no—
1518C4⋊C4—22no—
1519C4⋊C4—24no—
1520C4⋊C4—24no—
1521C4⋊C4—24no—
1522C4⋊C4—22no—
1523C4⋊C4—22no—
1524C4⋊C4—22no—
1525C4⋊C4—28no—
1526C4⋊C4—24no—
1527C4⋊C4—22no—
1528C4⋊C4—24no—
1529C4⋊C4—24no—
1530C4⋊C4—22no—
1531C4⋊C4—24no—
1532C4⋊C4—22no—
1533C4⋊C4—28no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—22no—
1537C4⋊C4—24no—
1538C4⋊C4—28no—
1539C4⋊C4—22no—
1540C4⋊C4—24no—
1541C4⋊C4—22no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—24no—
1550C4⋊C4—28no—
1551C4⋊C4—24no—
1552C4⋊C4—24no—
1553C4⋊C4—24no—
1554C4⋊C4—22no—
1555C4⋊C4—24no—
1556C4⋊C4—22no—
1557C4⋊C4—22no—
1558C4⋊C4—24no—
1559C4⋊C4—22no—
1560C4⋊C4—42no—
1561C4⋊C4—42no—
1562C4⋊C4—42no—
1563C4⋊C4—42no—
1564C4⋊C4—44no—
1565C4⋊C4—42no—
1566C4⋊C4—42no—
1567C4⋊C4—42no—
1568C4⋊C4—42no—
1569C4⋊C4—42no—
1570C4⋊C4—44no—
1571C4⋊C4—42no—
1572C4⋊C4—44no—
1573C4⋊C4—44no—
1574C4⋊C4—44no—
1575C4⋊C4—44no—
1576C4⋊C4—42no—
1577C4⋊C4—44no—
1578C4⋊C4C22×D414yes—
1579C4⋊C4C22×D418yes—
1580C4⋊C4C22×D418yes—
1581C4⋊C4C22×D414yes—
1582C4⋊C4C22×D418yes—
1583C4⋊C4C22×D418yes—
1584C4⋊C4C22×D418yes—
1585C22⋊C4—22no—
1586C22⋊C4—24no—
1587C22⋊C4—22no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—22no—
1591C22⋊C4—24no—
1592C22⋊C4—28no—
1593C22⋊C4—28no—
1594C22⋊C4—28no—
1595C22⋊C4—28no—
1596C22⋊C4—24no—
1597C22⋊C4—22no—
1598C22⋊C4—28no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—22no—
1605C22⋊C4—22no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—28no—
1614C22⋊C4—28no—
1615C22⋊C4—28no—
1616C22⋊C4—28no—
1617C22⋊C4—24no—
1618C22⋊C4—42no—
1619C22⋊C4—42no—
1620C22⋊C4—44no—
1621C22⋊C4—42no—
1622C22⋊C4—42no—
1623C22⋊C4—42no—
1624C22⋊C4—42no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—44no—
1628C22⋊C4—42no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—42no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—42no—
1638C22⋊C4—44no—
1639C22⋊C4—42no—
1640C22⋊C4—44no—
1641C22⋊C4—42no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—42no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C42—24no—
1653C42—22no—
1654C42—24no—
1655C42—22no—
1656C42—24no—
1657C42—22no—
1658C42—28no—
1659C42—24no—
1660C42—24no—
1661C42—22no—
1662C42—28no—
1663C42—24no—
1664C42—24no—
1665C42—22no—
1666C42—24no—
1667C42—22no—
1668C42—24no—
1669C42—24no—
1670C42—44no—
1671C42—44no—
1672C42—44no—
1673C42—44no—
1674C42—44no—
1675C42C22×D418yes—
1676C42C22×D414yes—
1677C42C22×D418yes—
1678C42C22×D414yes—
1679C42C22×D414yes—
1680C42C22×D418yes—
1681C42C22×D414yes—
1682C42C22×D418yes—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—21no—
1696C23—22no—
1697C23—22no—
1698C23—24no—
1699C23—22no—
1700C23—24no—
1701C23—21no—
1702C23—22no—
1703C23—22no—
1704C23—21no—
1705C23—22no—
1706C23—22no—
1707C23—22no—
1708C23—21no—
1709C23—22no—
1710C23—24no—
1711C23—24no—
1712C23—24no—
1713C23—24no—
1714C23—24no—
1715C23—22no—
1716C23—22no—
1717C23—21no—
1718C23—21no—
1719C23—21no—
1720C23—22no—
1721C23—22no—
1722C23—22no—
1723C23C23×D412yes—
1724C23#58512yes—
1725C23C2611yescharacteristic
1726Q8—28no—
1727Q8—28no—
1728Q8—48no—
1729Q8—44no—
1730Q8—48no—
1731Q8—48no—
1732Q8—44no—
1733Q8—48no—
1734Q8—44no—
1735D4—28no—
1736D4—44no—
1737D4—48no—
1738D4—416no—
1739D4—48no—
1740D4—48no—
1741D4—416no—
1742D4—44no—
1743D4—48no—
1744D4—44no—
1745D4—48no—
1746D4—44no—
1747D4—48no—
1748D4—84no—
1749D4—88no—
1750D4—84no—
1751D4—88no—
1752D4—84no—
1753D4—88no—
1754D4—164no—
1755D4—164no—
1756D4—164no—
1757C2×C4—21no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—22no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
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—28no—
1776C2×C4—28no—
1777C2×C4—21no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—22no—
1783C2×C4—24no—
1784C2×C4—22no—
1785C2×C4—21no—
1786C2×C4—22no—
1787C2×C4—21no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—24no—
1796C2×C4—22no—
1797C2×C4—24no—
1798C2×C4—22no—
1799C2×C4—24no—
1800C2×C4—24no—
1801C2×C4—22no—
1802C2×C4—21no—
1803C2×C4—21no—
1804C2×C4—22no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—24no—
1813C2×C4—24no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—21no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—21no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—21no—
1824C2×C4—24no—
1825C2×C4—22no—
1826C2×C4—22no—
1827C2×C4—24no—
1828C2×C4—21no—
1829C2×C4—22no—
1830C2×C4—21no—
1831C2×C4—48no—
1832C2×C4—48no—
1833C2×C4—44no—
1834C2×C4—48no—
1835C2×C4—44no—
1836C2×C4—48no—
1837C2×C4—44no—
1838C2×C4—48no—
1839C2×C4—48no—
1840C2×C4—416no—
1841C2×C4—416no—
1842C2×C4—48no—
1843C2×C4—44no—
1844C2×C4—48no—
1845C2×C4—44no—
1846C2×C4—44no—
1847C2×C4—44no—
1848C2×C4—48no—
1849C2×C4—88no—
1850C2×C4—84no—
1851C2×C4C23×D414yes—
1852C2×C4C23×D412yes—
1853C2×C4C23×D412yes—
1854C2×C4C23×D414yes—
1855C2×C4C23×D412yes—
1856C2×C4C23×D414yes—
1857C2×C4C23×D412yes—
1858C2×C4C23×D414yes—
1859C2×C4C23×D412yes—
1860C2×C4C23×D412yes—
1861C2×C4#58512yes—
1862C2×C4#58512yes—
1863C2×C4#58512yes—
1864C2×C4#58512yes—
1865C2×C4#58512yes—
1866C22—22no—
1867C22—22no—
1868C22—22no—
1869C22—22no—
1870C22—22no—
1871C22—22no—
1872C22—41no—
1873C22—41no—
1874C22—41no—
1875C22—41no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—42no—
1881C22—41no—
1882C22—42no—
1883C22—44no—
1884C22—44no—
1885C22—42no—
1886C22—42no—
1887C22—41no—
1888C22—42no—
1889C22—44no—
1890C22—42no—
1891C22—41no—
1892C22—41no—
1893C22—44no—
1894C22—42no—
1895C22—42no—
1896C22—42no—
1897C22—44no—
1898C22—41no—
1899C22—42no—
1900C22—42no—
1901C22—41no—
1902C22—42no—
1903C22—44no—
1904C22—42no—
1905C22—44no—
1906C22—41no—
1907C22—42no—
1908C22C24×D411yescharacteristic
1909C22C2×#58511yescharacteristic
1910C22C2×#58511yescharacteristic
1911C22C2×#58511yescharacteristic
1912C22C2×#58511yescharacteristic
1913C22C2×#58511yescharacteristic
1914C22C2×#58511yescharacteristic
1915C4—22no—
1916C4—24no—
1917C4—22no—
1918C4—22no—
1919C4—22no—
1920C4—24no—
1921C4—22no—
1922C4—24no—
1923C4—24no—
1924C4—42no—
1925C4—42no—
1926C4—44no—
1927C4—42no—
1928C4—42no—
1929C4—44no—
1930C4—41no—
1931C4—41no—
1932C4—42no—
1933C4—44no—
1934C4—42no—
1935C4—41no—
1936C4—42no—
1937C4—42no—
1938C4—42no—
1939C4—41no—
1940C4—41no—
1941C4—42no—
1942C4#344914yes—
1943C4#348714yes—
1944C2—42no—
1945C2—42no—
1946C2—82no—
1947C2—81no—
1948C2—82no—
1949C2—84no—
1950C2C2×#344911yescharacteristic
1951C2C2×#348711yescharacteristic
1952C2#6281111yescharacteristic
1953C2#6302911yescharacteristic
1954C2#6303011yescharacteristic
1955C2#6303111yescharacteristic
1956C2#6303611yescharacteristic
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×#3482C2semidirect
2. C2×#3480C2semidirect
3. #42883C2semidirect
4. #42806C2semidirect
5. #41416C2semidirect
6. #40598C2semidirect
7. #39859C2semidirect
8. #39858C2semidirect
9. #39725C2semidirect
10. #39724C2semidirect
11. #39719C2semidirect
12. #39718C2semidirect
13. #39139C2semidirect
14. #39138C2semidirect
15. #39131C2semidirect
16. #39130C2semidirect
17. #38379C2semidirect
18. #38378C2semidirect
19. #37616C2semidirect
20. #37559C2semidirect
21. #36580C2semidirect
22. #36579C2semidirect
23. #36504C2semidirect
24. #36493C2semidirect
25. #36229C2semidirect
26. #36228C2semidirect
27. #36015C2semidirect
28. #35768C2semidirect
29. #35292C2semidirect
30. #35210C2semidirect
31. #35190C2semidirect
32. #35189C2semidirect
33. #34976C2semidirect
34. #34909C2semidirect
35. #34187C2semidirect
440. C2×C4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34822
C2×#34802
#428832
#428062
#414162
#405982
#398592
#398582
#397252
#397242
#397192
#397182
#391392
#391382
#391312
#391302
#383792
#383782
#376162
#375592
#365802
#365792
#365042
#364932
#362292
#362282
#360152
#357682
#352922
#352102
#351902
#351892
#349762
#349092
#341872