Finite Group Databasebeta

← #7647480

Subgroups — #7647480

Order 512.

6808 conjugacy classes of subgroups.

The subgroup lattice has 1955 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3522C211yesmaximal, characteristic, complemented
2C2×#3461C211yesmaximal, characteristic, complemented
3#42797C212yesmaximal, complemented
4#42796C212yesmaximal, complemented
5#42423C212yesmaximal, complemented
6#42421C212yesmaximal, complemented
7#40499C214yesmaximal, complemented
8#40497C214yesmaximal, complemented
9#39726C211yesmaximal, characteristic, complemented
10#39725C211yesmaximal, characteristic, complemented
11#39718C212yesmaximal, complemented
12#39598C211yesmaximal, characteristic, complemented
13#39597C211yesmaximal, characteristic, complemented
14#39590C212yesmaximal, complemented
15#39138C211yesmaximal, characteristic, complemented
16#39137C211yesmaximal, characteristic, complemented
17#39130C212yesmaximal, complemented
18#39126C211yesmaximal, characteristic, complemented
19#39125C211yesmaximal, characteristic, complemented
20#39118C212yesmaximal, complemented
21#37621C212yesmaximal, complemented
22#37553C212yesmaximal, complemented
23#37193C214yesmaximal, complemented
24#37192C214yesmaximal, complemented
25#35625C212yesmaximal, complemented
26#35539C212yesmaximal, complemented
27#35292C211yesmaximal, characteristic, complemented
28#35220C212yesmaximal, complemented
29#35212C212yesmaximal, complemented
30#35198C212yesmaximal, complemented
31#35191C212yesmaximal, complemented
32#35189C211yesmaximal, characteristic, complemented
33#34977C211yesmaximal, characteristic, complemented
34#34911C211yesmaximal, characteristic, complemented
35Q8×#117C211yesmaximal, characteristic, complemented
36#3522—216no—
37C2×#559C2212yes—
38C2×#559C2211yescharacteristic
39C2×Q82C2211yescharacteristic
40C2×#554C2212yes—
41C2×#554C2211yescharacteristic
42C2×#550C2211yescharacteristic
43C2×#548C2212yes—
44C2×#547C2214yes—
45C2×#547C2212yes—
46#3461—216no—
47C2×#544C2211yescharacteristic
48C2×#542C2214yes—
49C2×#542C2212yes—
50C2×#542C2212yes—
51C2×#542C2211yescharacteristic
52C2×#542C2211yescharacteristic
53C2×#541C2211yescharacteristic
54C2×#541C2212yes—
55C2×#541C2211yescharacteristic
56C2×#539C2212yes—
57C2×#539C2212yes—
58C2×#537C2211yescharacteristic
59C2×#536C2211yescharacteristic
60C2×#536C2211yescharacteristic
61C2×#533C2212yes—
62C2×#533C2211yescharacteristic
63C2×#533C2211yescharacteristic
64C2×#532C2212yes—
65C2×#532C2211yescharacteristic
66C2×#529C2211yescharacteristic
67C2×#529C2212yes—
68C2×#529C2212yes—
69C2×#529C2212yes—
70C2×#529C2212yes—
71C2×#529C2211yescharacteristic
72C2×#529C2211yescharacteristic
73C2×#520C2212yes—
74C2×C4×#41C2211yescharacteristic
75C2×C4×#41C2211yescharacteristic
76C22×C4×Q8C2211yescharacteristic
77#2861C2214yes—
78#2860C2214yes—
79#2860C2214yes—
80#2858C2214yes—
81#2857C2211yescharacteristic
82#2857C2211yescharacteristic
83#2856C2211yescharacteristic
84#2856C2211yescharacteristic
85#2851C2212yes—
86#2850C2212yes—
87#2814C2214yes—
88#2813C2214yes—
89#2813C2214yes—
90#2813C2214yes—
91#2733C2214yes—
92#2732C2214yes—
93#2731C2214yes—
94#2730C2214yes—
95#2730C2214yes—
96#2730C2214yes—
97#2729C2214yes—
98#2728C2214yes—
99#2716C2214yes—
100#2714C2214yes—
101#2713C2214yes—
102#2711C2214yes—
103#2707C2214yes—
104#2705C2214yes—
105#2704C2214yes—
106#2702C2214yes—
107#2696C2214yes—
108#2694C2214yes—
109#2692C2214yes—
110#2690C2214yes—
111#2683C2214yes—
112#2682C2214yes—
113#2681C2214yes—
114#2681C2214yes—
115#2677C2214yes—
116#2677C2214yes—
117#2676C2214yes—
118#2676C2214yes—
119#2674C2214yes—
120#2674C2214yes—
121#2673C2214yes—
122#2673C2214yes—
123#2664C2214yes—
124#2663C2214yes—
125#2662C2214yes—
126#2662C2214yes—
127#2662C2214yes—
128#2661C2214yes—
129#2661C2214yes—
130#2661C2214yes—
131#2630C2214yes—
132#2630C2214yes—
133#2630C2214yes—
134#2629C2212yes—
135#2629C2212yes—
136#2628C2212yes—
137#2628C2212yes—
138#2624C2212yes—
139#2620C2212yes—
140#2620C2212yes—
141#2619C2212yes—
142#2619C2212yes—
143#2616C2214yes—
144#2615C2212yes—
145#2615C2214yes—
146#2611C2214yes—
147#2610C2214yes—
148#2610C2214yes—
149#2604C2212yes—
150#2603C2214yes—
151#2603C2212yes—
152#2603C2214yes—
153#2602C2214yes—
154#2602C2214yes—
155#2602C2212yes—
156#2602C2212yes—
157#2601C2214yes—
158#2601C2214yes—
159#2601C2214yes—
160#2592C2211yescharacteristic
161#2592C2212yes—
162#2592C2212yes—
163#2584C2211yescharacteristic
164#2584C2212yes—
165#2582C2211yescharacteristic
166#2581C2212yes—
167#2580C2212yes—
168#2580C2212yes—
169#2567C2211yescharacteristic
170#2563C2211yescharacteristic
171#2562C2214yes—
172#2562C2211yescharacteristic
173#2562C2212yes—
174#2560C2214yes—
175#2558C2214yes—
176#2556C2214yes—
177#2554C2214yes—
178#2551C2212yes—
179#2550C2212yes—
180#2548C2212yes—
181#2548C2211yescharacteristic
182#2548C2212yes—
183#2547C2212yes—
184#2546C2212yes—
185#2545C2212yes—
186#2541C2212yes—
187#2541C2212yes—
188#2541C2211yescharacteristic
189#2540C2212yes—
190#2540C2212yes—
191#2540C2214yes—
192#2540C2211yescharacteristic
193#2540C2212yes—
194#2538C2212yes—
195#2538C2212yes—
196#2538C2211yescharacteristic
197#2538C2212yes—
198#2538C2211yescharacteristic
199#2537C2211yescharacteristic
200#2537C2212yes—
201#2537C2212yes—
202#2536C2212yes—
203#2536C2212yes—
204#2535C2212yes—
205#2535C2212yes—
206#2500C2212yes—
207#2492C2212yes—
208#2491C2212yes—
209#2491C2212yes—
210#2490C2212yes—
211#2485C2212yes—
212#2481C2214yes—
213#2473C2214yes—
214#2467C2214yes—
215#2463C2214yes—
216#2461C2214yes—
217#2461C2214yes—
218#2460C2214yes—
219#2456C2214yes—
220#2454C2212yes—
221#2452C2212yes—
222#2452C2214yes—
223#2449C2214yes—
224#2448C2212yes—
225#2446C2212yes—
226#2445C2214yes—
227#2443C2214yes—
228#2442C2212yes—
229#2440C2212yes—
230#2432C2212yes—
231#2432C2214yes—
232#2431C2212yes—
233#2431C2212yes—
234#2431C2214yes—
235#2429C2212yes—
236#2428C2212yes—
237#2427C2212yes—
238#2426C2212yes—
239#2426C2212yes—
240#2426C2212yes—
241#2423C2212yes—
242#2421C2212yes—
243#2417C2212yes—
244#2416C2212yes—
245#2415C2211yescharacteristic
246#2415C2211yescharacteristic
247#2415C2212yes—
248#2414C2211yescharacteristic
249#2414C2211yescharacteristic
250#2414C2212yes—
251#2414C2212yes—
252#2414C2212yes—
253#2414C2212yes—
254#2414C2212yes—
255#2407C2212yes—
256#2407C2212yes—
257#2407C2212yes—
258#2407C2212yes—
259#2407C2212yes—
260#2395C2212yes—
261#2388C2212yes—
262#2388C2214yes—
263#2355C2212yes—
264#2355C2211yescharacteristic
265#2355C2212yes—
266#2355C2211yescharacteristic
267Q8×C4⋊C4C2211yescharacteristic
268Q8×C4⋊C4C2211yescharacteristic
269#2345C2214yes—
270#2345C2212yes—
271Q8×C22⋊C4C2212yes—
272#2324C2212yes—
273#2324C2212yes—
274#2324C2212yes—
275#2324C2212yes—
276#2324C2212yes—
277#2324C2212yes—
278#2324C2212yes—
279#2324C2212yes—
280#2324C2212yes—
281#2323C2212yes—
282#2323C2212yes—
283#2323C2212yes—
284C4×#127C2212yes—
285C4×#124C2212yes—
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291C4×#121C2212yes—
292#2295C2212yes—
293#2295C2214yes—
294#2293C2212yes—
295#2293C2212yes—
296#2285C2211yescharacteristic
297#2285C2212yes—
298C42×Q8C2212yes—
299C4×#117C2211yescharacteristic
300C4×#117C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2314yes—
305C22×#41C2312yes—
306C23×Q8C2311yescharacteristic
307#559—216no—
308#559—28no—
309Q82—28no—
310#554—216no—
311#554—28no—
312#550—28no—
313#548—216no—
314#547—216no—
315#547—232no—
316#544—28no—
317#542—28no—
318#542—216no—
319#542—28no—
320#542—232no—
321#542—216no—
322#541—28no—
323#541—216no—
324#541—28no—
325#539—216no—
326#539—216no—
327#537—28no—
328#536—28no—
329#536—28no—
330#533—28no—
331#533—216no—
332#533—28no—
333#532—28no—
334#532—216no—
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2314yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2314yes—
346C2×#127C2311yescharacteristic
347C2×#127C2312yes—
348C2×#127C2312yes—
349C2×#127C2314yes—
350#529—28no—
351#529—216no—
352#529—28no—
353#529—216no—
354#529—216no—
355#529—28no—
356#529—216no—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2314yes—
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#126C2312yes—
367C2×#125C2312yes—
368C2×#125C2311yescharacteristic
369C2×#125C2312yes—
370C2×#125C2312yes—
371C2×#125C2312yes—
372C2×#125C2311yescharacteristic
373C2×#125C2311yescharacteristic
374C2×#125C2312yes—
375C2×#125C2312yes—
376C2×#125C2312yes—
377C2×#125C2312yes—
378C2×#124C2311yescharacteristic
379C2×#124C2312yes—
380C2×#124C2312yes—
381C2×#124C2312yes—
382C2×#124C2314yes—
383C2×#124C2312yes—
384C2×#124C2311yescharacteristic
385C2×#124C2311yescharacteristic
386C2×#124C2312yes—
387C2×#124C2312yes—
388C2×#124C2314yes—
389C2×#124C2312yes—
390C2×#124C2314yes—
391C2×#124C2314yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2314yes—
398C2×#123C2312yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2314yes—
403C2×#123C2314yes—
404C2×#123C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2311yescharacteristic
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2311yescharacteristic
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2311yescharacteristic
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2314yes—
424C2×C22⋊Q8C2314yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2314yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2311yescharacteristic
430C2×C22⋊Q8C2312yes—
431C2×C22⋊Q8C2312yes—
432C2×C22⋊Q8C2314yes—
433C2×C22⋊Q8C2314yes—
434C2×#121C2312yes—
435C2×#121C2311yescharacteristic
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2314yes—
439C2×#121C2311yescharacteristic
440C2×#121C2312yes—
441C2×#121C2311yescharacteristic
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2311yescharacteristic
445C2×#121C2314yes—
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2311yescharacteristic
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2312yes—
457C2×#121C2314yes—
458C2×#121C2314yes—
459#520—216no—
460C4×#41—28no—
461C4×#41—28no—
462C2×C4×Q8D4116yescomplemented
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2312yes—
468C2×C4×Q8C2311yescharacteristic
469C2×C4×Q8C2312yes—
470C2×C4×Q8C2311yescharacteristic
471C2×C4×Q8C2312yes—
472C2×C4×Q8C2312yes—
473C2×C4×Q8C2312yes—
474C2×C4×Q8C2311yescharacteristic
475C2×C4×Q8C2311yescharacteristic
476C2×C4×Q8C2312yes—
477C2×C4×Q8C2311yescharacteristic
478C2×C4×Q8C2311yescharacteristic
479C2×C4×Q8C2312yes—
480C2×C4×D4C2311yescharacteristic
481C2×C4×D4C2312yes—
482C2×C4×D4C2314yes—
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2312yes—
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2314yes—
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2311yescharacteristic
497C2×C4×D4C2311yescharacteristic
498C2×C4×D4C2312yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2314yes—
501C2×C4×D4C2312yes—
502C2×C4×D4C2311yescharacteristic
503C2×C4×D4C2312yes—
504C2×C4×D4C2312yes—
505C2×C4×D4C2314yes—
506C2×C4×D4C2314yes—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2312yes—
510C2×#117C2312yes—
511C2×#117C2312yes—
512C2×#117C2311yescharacteristic
513C2×#117C2311yescharacteristic
514C2×#117C2312yes—
515C2×#117C2314yes—
516C2×#117C2311yescharacteristic
517C2×#117C2311yescharacteristic
518C2×#117C2311yescharacteristic
519C2×#117C2311yescharacteristic
520C2×#117C2312yes—
521C22×C4⋊C4C2312yes—
522C22×C4⋊C4C2314yes—
523C22×C4⋊C4C2311yescharacteristic
524C22×C4⋊C4C2312yes—
525C22×C42C2312yes—
526C22×C42C2311yescharacteristic
527C22×C42C2311yescharacteristic
528C22×C42C2311yescharacteristic
529C22×C42C2312yes—
530#400C2312yes—
531#400C2314yes—
532#400C2314yes—
533#400C2314yes—
534#400C2314yes—
535#399C2314yes—
536#399C2314yes—
537#399C2312yes—
538#399C2314yes—
539#399C2314yes—
540#399C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2312yes—
544#398C2314yes—
545#398C2314yes—
546#398C2314yes—
547#398C2314yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#397C2314yes—
552#397C2312yes—
553#397C2314yes—
554#397C2314yes—
555#397C2312yes—
556#397C2312yes—
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#395C2314yes—
575#395C2314yes—
576#395C2312yes—
577#395C2314yes—
578#395C2314yes—
579#395C2314yes—
580#394C2314yes—
581#394C2312yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2312yes—
589#394C2312yes—
590#394C2314yes—
591#394C2312yes—
592#394C2314yes—
593#394C2314yes—
594#394C2312yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#393C2314yes—
610#393C2314yes—
611#393C2314yes—
612#393C2314yes—
613#393C2312yes—
614#393C2314yes—
615#393C2314yes—
616#392C2312yes—
617#392C2314yes—
618#392C2314yes—
619#392C2312yes—
620#392C2312yes—
621#392C2314yes—
622#392C2314yes—
623#392C2314yes—
624#392C2314yes—
625#392C2314yes—
626#392C2314yes—
627#392C2314yes—
628#392C2314yes—
629#392C2314yes—
630#392C2314yes—
631#392C2314yes—
632#392C2314yes—
633#392C2314yes—
634#391C2314yes—
635#391C2312yes—
636#391C2311yescharacteristic
637#391C2312yes—
638#391C2312yes—
639#391C2311yescharacteristic
640#391C2312yes—
641#391C2312yes—
642#391C2312yes—
643#391C2312yes—
644#391C2314yes—
645#391C2314yes—
646#391C2314yes—
647#390C2314yes—
648#390C2312yes—
649#390C2314yes—
650#390C2314yes—
651#390C2312yes—
652#390C2312yes—
653#390C2311yescharacteristic
654#390C2312yes—
655#390C2312yes—
656#390C2312yes—
657#390C2312yes—
658#390C2312yes—
659#390C2314yes—
660#390C2314yes—
661#390C2314yes—
662#390C2314yes—
663#390C2314yes—
664#390C2314yes—
665#390C2314yes—
666#390C2314yes—
667#390C2312yes—
668#390C2312yes—
669#390C2312yes—
670#390C2312yes—
671#390C2311yescharacteristic
672#390C2314yes—
673#390C2314yes—
674#390C2312yes—
675#390C2312yes—
676#390C2312yes—
677#390C2312yes—
678#390C2314yes—
679#390C2314yes—
680#390C2312yes—
681#389C2312yes—
682#389C2312yes—
683#389C2312yes—
684#389C2314yes—
685#389C2314yes—
686#389C2314yes—
687#389C2312yes—
688#389C2311yescharacteristic
689#389C2311yescharacteristic
690#389C2312yes—
691#389C2312yes—
692#389C2312yes—
693#389C2312yes—
694#389C2312yes—
695#389C2312yes—
696#389C2311yescharacteristic
697#389C2314yes—
698#389C2314yes—
699#389C2312yes—
700#389C2312yes—
701#389C2311yescharacteristic
702#389C2312yes—
703#389C2312yes—
704#389C2314yes—
705#389C2314yes—
706#389C2312yes—
707#389C2312yes—
708#388C2312yes—
709#388C2314yes—
710#388C2314yes—
711#388C2312yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2312yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2312yes—
732#388C2312yes—
733#388C2314yes—
734#388C2312yes—
735#388C2314yes—
736#388C2314yes—
737#388C2312yes—
738#388C2312yes—
739#388C2312yes—
740#388C2312yes—
741#388C2314yes—
742#388C2314yes—
743#388C2314yes—
744#387C2314yes—
745#387C2314yes—
746#387C2314yes—
747#387C2314yes—
748#387C2314yes—
749#387C2314yes—
750#387C2314yes—
751#387C2314yes—
752#387C2314yes—
753#387C2314yes—
754#387C2314yes—
755#387C2314yes—
756#387C2312yes—
757#387C2312yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2312yes—
771#386C2312yes—
772#386C2314yes—
773#386C2314yes—
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#384C2312yes—
789#384C2311yescharacteristic
790#384C2311yescharacteristic
791#384C2312yes—
792#384C2312yes—
793#382C2312yes—
794#382C2312yes—
795#382C2312yes—
796#382C2312yes—
797#380C2311yescharacteristic
798#380C2312yes—
799#380C2312yes—
800#380C2311yescharacteristic
801#380C2312yes—
802#380C2314yes—
803#380C2314yes—
804#380C2314yes—
805#380C2314yes—
806#380C2311yescharacteristic
807#380C2311yescharacteristic
808#380C2312yes—
809#380C2312yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2314yes—
817#380C2314yes—
818#380C2312yes—
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2314yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2311yescharacteristic
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2314yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊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⋊C4C2312yes—
846C4×C22⋊C4C2312yes—
847#376C2314yes—
848#376C2312yes—
849C43C2312yes—
850C43C2314yes—
851C2×#41—28no—
852C2×#41—24no—
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—216no—
856C2×#41—42no—
857C2×#41—42no—
858C2×#41—42no—
859C2×#41—42no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41—82no—
863C2×#41—82no—
864C2×#41—84no—
865C2×#41—84no—
866C22×Q8—42no—
867C22×Q8—42no—
868C22×Q8C2×D418yes—
869C22×Q8C2411yescharacteristic
870C22×Q8C2411yescharacteristic
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2411yescharacteristic
874C22×Q8C2412yes—
875C22×Q8C2412yes—
876C22×Q8C2412yes—
877C22×Q8C2414yes—
878C22×Q8C2412yes—
879C22×D4C2412yes—
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2411yescharacteristic
884C22×D4C2411yescharacteristic
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C22×D4C2414yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2414yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2414yes—
894C22×D4C2412yes—
895C22×D4C2414yes—
896C22×D4C2412yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C23×C4C2412yes—
902C23×C4C2412yes—
903C23×C4C2411yescharacteristic
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2411yescharacteristic
909C23×C4C2414yes—
910C23×C4C2414yes—
911C23×C4C2414yes—
912C23×C4C2414yes—
913C23×C4C2412yes—
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—28no—
927C4⋊Q8—216no—
928C4⋊Q8—24no—
929C4⋊Q8—28no—
930C4⋊Q8—84no—
931#127—24no—
932#127—28no—
933#127—44no—
934#127—84no—
935#126—28no—
936#126—28no—
937#126—28no—
938#126—28no—
939#126—28no—
940#126—28no—
941#126—28no—
942#126—28no—
943#126—28no—
944#126—216no—
945#125—24no—
946#125—24no—
947#125—28no—
948#125—28no—
949#125—28no—
950#125—28no—
951#125—28no—
952#125—28no—
953#125—28no—
954#125—24no—
955#125—28no—
956#124—24no—
957#124—24no—
958#124—28no—
959#124—28no—
960#124—216no—
961#124—28no—
962#124—28no—
963#124—24no—
964#124—28no—
965#124—28no—
966#124—216no—
967#124—44no—
968#124—84no—
969#124—84no—
970#123—28no—
971#123—28no—
972#123—28no—
973#123—28no—
974#123—28no—
975#123—216no—
976#123—28no—
977#123—28no—
978#123—28no—
979#123—28no—
980#123—216no—
981#123—216no—
982#123—216no—
983C22⋊Q8—24no—
984C22⋊Q8—24no—
985C22⋊Q8—28no—
986C22⋊Q8—24no—
987C22⋊Q8—24no—
988C22⋊Q8—28no—
989C22⋊Q8—28no—
990C22⋊Q8—216no—
991C22⋊Q8—24no—
992C22⋊Q8—28no—
993C22⋊Q8—28no—
994C22⋊Q8—24no—
995C22⋊Q8—24no—
996C22⋊Q8—28no—
997C22⋊Q8—28no—
998C22⋊Q8—28no—
999C22⋊Q8—28no—
1000C22⋊Q8—28no—
1001C22⋊Q8—216no—
1002C22⋊Q8—216no—
1003C22⋊Q8—216no—
1004C22⋊Q8—24no—
1005C22⋊Q8—44no—
1006C22⋊Q8—42no—
1007C22⋊Q8—44no—
1008C22⋊Q8—84no—
1009C22⋊Q8—82no—
1010C22⋊Q8—84no—
1011C22⋊Q8—82no—
1012#121—24no—
1013#121—28no—
1014#121—28no—
1015#121—28no—
1016#121—28no—
1017#121—216no—
1018#121—24no—
1019#121—24no—
1020#121—28no—
1021#121—28no—
1022#121—216no—
1023#121—28no—
1024#121—24no—
1025#121—44no—
1026#121—44no—
1027#121—44no—
1028#121—42no—
1029#121—44no—
1030#121—44no—
1031#121—44no—
1032#121—44no—
1033#121—84no—
1034#121—84no—
1035#121—82no—
1036#121—82no—
1037C4×Q8—28no—
1038C4×Q8—24no—
1039C4×Q8—24no—
1040C4×Q8—24no—
1041C4×Q8—24no—
1042C4×Q8—28no—
1043C4×Q8—28no—
1044C4×Q8—24no—
1045C4×Q8—28no—
1046C4×Q8—44no—
1047C4×Q8—44no—
1048C4×Q8C2×D418yes—
1049C4×Q8C2×D418yes—
1050C4×Q8C2×D4116yes—
1051C4×Q8C2×D418yes—
1052C4×Q8C2×D418yes—
1053C4×Q8C2×D4116yes—
1054C4×D4—24no—
1055C4×D4—24no—
1056C4×D4—28no—
1057C4×D4—24no—
1058C4×D4—24no—
1059C4×D4—28no—
1060C4×D4—28no—
1061C4×D4—216no—
1062C4×D4—28no—
1063C4×D4—216no—
1064C4×D4—24no—
1065C4×D4—24no—
1066C4×D4—24no—
1067C4×D4—24no—
1068C4×D4—28no—
1069C4×D4—216no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—24no—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—44no—
1078C4×D4—44no—
1079C4×D4—84no—
1080C4×D4—84no—
1081#117—24no—
1082#117—24no—
1083#117—24no—
1084#117—24no—
1085#117—24no—
1086#117—28no—
1087#117—28no—
1088#117—216no—
1089#117—28no—
1090#117—28no—
1091#117—28no—
1092#117—28no—
1093#117—42no—
1094#117—44no—
1095C2×C4⋊C4—28no—
1096C2×C4⋊C4—216no—
1097C2×C4⋊C4C2×D418yes—
1098C2×C4⋊C4C2×D4116yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2411yescharacteristic
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2411yescharacteristic
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2414yes—
1158C2×C4⋊C4C2414yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2414yes—
1161C2×C4⋊C4C2414yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2411yescharacteristic
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2411yescharacteristic
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2411yescharacteristic
1179C2×C22⋊C4C2411yescharacteristic
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2414yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C42—28no—
1242C2×C42—24no—
1243C2×C42—24no—
1244C2×C42C2×D418yes—
1245C2×C42C2×D4116yes—
1246C2×C42C2411yescharacteristic
1247C2×C42C2412yes—
1248C2×C42C2411yescharacteristic
1249C2×C42C2411yescharacteristic
1250C2×C42C2411yescharacteristic
1251C2×C42C2412yes—
1252C2×C42C2412yes—
1253C2×C42C2414yes—
1254C2×C42C2412yes—
1255C2×C42C2412yes—
1256C2×C42C2412yes—
1257C2×C42C2411yescharacteristic
1258C2×C42C2411yescharacteristic
1259C2×C42C2412yes—
1260C2×C42C2412yes—
1261C2×C42C2414yes—
1262C2×C42C2412yes—
1263C2×C42C2412yes—
1264C2×C42C2414yes—
1265C2×C42C2414yes—
1266C2×C42C2414yes—
1267C2×C42C2414yes—
1268C2×C42C2411yescharacteristic
1269C2×C42C2412yes—
1270C2×C42C2412yes—
1271C2×C42C2412yes—
1272C2×C42C2411yescharacteristic
1273C2×C42C2411yescharacteristic
1274C2×C42C2411yescharacteristic
1275C2×C42C2412yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2412yes—
1279#95C2412yes—
1280#95C2414yes—
1281#95C2414yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2412yes—
1286#95C2414yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2414yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2412yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2412yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2412yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2414yes—
1316C24C2511yescharacteristic
1317C24C2511yescharacteristic
1318C24C2512yes—
1319C24C2512yes—
1320C24C2514yes—
1321C24C2511yescharacteristic
1322#41—416no—
1323#41—416no—
1324#41—432no—
1325#41—816no—
1326#41—832no—
1327C2×Q8—22no—
1328C2×Q8—22no—
1329C2×Q8—22no—
1330C2×Q8—24no—
1331C2×Q8—24no—
1332C2×Q8—24no—
1333C2×Q8—28no—
1334C2×Q8—22no—
1335C2×Q8—22no—
1336C2×Q8—22no—
1337C2×Q8—22no—
1338C2×Q8—22no—
1339C2×Q8—22no—
1340C2×Q8—22no—
1341C2×Q8—22no—
1342C2×Q8—42no—
1343C2×Q8—42no—
1344C2×Q8—41no—
1345C2×Q8—41no—
1346C2×Q8—42no—
1347C2×Q8—42no—
1348C2×Q8—42no—
1349C2×Q8—42no—
1350C2×Q8—42no—
1351C2×Q8—44no—
1352C2×Q8—42no—
1353C2×Q8—44no—
1354C2×Q8—416no—
1355C2×Q8C22×D414yes—
1356C2×Q8C22×D414yes—
1357C2×Q8C22×D418yes—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—24no—
1361C2×D4—24no—
1362C2×D4—28no—
1363C2×D4—22no—
1364C2×D4—24no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—28no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—24no—
1371C2×D4—24no—
1372C2×D4—28no—
1373C2×D4—24no—
1374C2×D4—22no—
1375C2×D4—24no—
1376C2×D4—28no—
1377C2×D4—22no—
1378C2×D4—24no—
1379C2×D4—22no—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—22no—
1383C2×D4—41no—
1384C2×D4—41no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—41no—
1388C2×D4—41no—
1389C2×D4—42no—
1390C2×D4—41no—
1391C2×D4—41no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—42no—
1397C2×D4—42no—
1398C2×D4—42no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—42no—
1402C2×D4—44no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—42no—
1406C2×D4—42no—
1407C2×D4—42no—
1408C2×D4—42no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—24no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—24no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—28no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—22no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—24no—
1442C22×C4—24no—
1443C22×C4—22no—
1444C22×C4—22no—
1445C22×C4—24no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—24no—
1449C22×C4—22no—
1450C22×C4—22no—
1451C22×C4—28no—
1452C22×C4—28no—
1453C22×C4—28no—
1454C22×C4—42no—
1455C22×C4—42no—
1456C22×C4—42no—
1457C22×C4—42no—
1458C22×C4—44no—
1459C22×C4—44no—
1460C22×C4—41no—
1461C22×C4—41no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—42no—
1466C22×C4—44no—
1467C22×C4—44no—
1468C22×C4—41no—
1469C22×C4—41no—
1470C22×C4—44no—
1471C22×C4—44no—
1472C22×C4—41no—
1473C22×C4—41no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4C22×D414yes—
1477C22×C4C22×D414yes—
1478C22×C4C22×D414yes—
1479C22×C4C22×D418yes—
1480C22×C4C22×D418yes—
1481C22×C4C2512yes—
1482C22×C4C2512yes—
1483C22×C4C2514yes—
1484C22×C4C2512yes—
1485C22×C4C2514yes—
1486C22×C4C2512yes—
1487C22×C4C2512yes—
1488C22×C4C2511yescharacteristic
1489C22×C4C2511yescharacteristic
1490C22×C4C2511yescharacteristic
1491C22×C4C2511yescharacteristic
1492C22×C4C2512yes—
1493C22×C4C2512yes—
1494C22×C4C2514yes—
1495C22×C4C2512yes—
1496C22×C4C2511yescharacteristic
1497C22×C4C2511yescharacteristic
1498C22×C4C2512yes—
1499C22×C4C2511yescharacteristic
1500C22×C4C2512yes—
1501C22×C4C2511yescharacteristic
1502C22×C4C2512yes—
1503C22×C4C2511yescharacteristic
1504C22×C4C2512yes—
1505C22×C4C2511yescharacteristic
1506C22×C4C2512yes—
1507C22×C4C2512yes—
1508C22×C4C2511yescharacteristic
1509C22×C4C2511yescharacteristic
1510C4⋊C4—24no—
1511C4⋊C4—28no—
1512C4⋊C4—28no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—22no—
1516C4⋊C4—22no—
1517C4⋊C4—22no—
1518C4⋊C4—22no—
1519C4⋊C4—24no—
1520C4⋊C4—22no—
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—22no—
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—22no—
1534C4⋊C4—22no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—28no—
1538C4⋊C4—24no—
1539C4⋊C4—24no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—28no—
1548C4⋊C4—22no—
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—22no—
1552C4⋊C4—22no—
1553C4⋊C4—24no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—42no—
1557C4⋊C4—42no—
1558C4⋊C4—44no—
1559C4⋊C4—44no—
1560C4⋊C4—44no—
1561C4⋊C4—44no—
1562C4⋊C4—44no—
1563C4⋊C4—44no—
1564C4⋊C4—42no—
1565C4⋊C4—42no—
1566C4⋊C4—42no—
1567C4⋊C4—44no—
1568C4⋊C4—44no—
1569C4⋊C4—42no—
1570C4⋊C4—44no—
1571C4⋊C4—44no—
1572C4⋊C4—44no—
1573C4⋊C4—42no—
1574C4⋊C4C22×D414yes—
1575C4⋊C4C22×D418yes—
1576C4⋊C4C22×D414yes—
1577C4⋊C4C22×D418yes—
1578C4⋊C4C22×D418yes—
1579C4⋊C4C22×D418yes—
1580C4⋊C4C22×D418yes—
1581C4⋊C42−1+414yes—
1582C22⋊C4—22no—
1583C22⋊C4—22no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—24no—
1587C22⋊C4—28no—
1588C22⋊C4—24no—
1589C22⋊C4—28no—
1590C22⋊C4—22no—
1591C22⋊C4—22no—
1592C22⋊C4—24no—
1593C22⋊C4—22no—
1594C22⋊C4—22no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—24no—
1602C22⋊C4—24no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—28no—
1606C22⋊C4—28no—
1607C22⋊C4—28no—
1608C22⋊C4—28no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—28no—
1615C22⋊C4—24no—
1616C22⋊C4—28no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
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—44no—
1629C22⋊C4—42no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—42no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—42no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—42no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—42no—
1651C22⋊C4—42no—
1652C42—24no—
1653C42—22no—
1654C42—22no—
1655C42—24no—
1656C42—22no—
1657C42—22no—
1658C42—24no—
1659C42—22no—
1660C42—22no—
1661C42—28no—
1662C42—24no—
1663C42—24no—
1664C42—24no—
1665C42—24no—
1666C42—42no—
1667C42—44no—
1668C42—42no—
1669C42—42no—
1670C42—44no—
1671C42—44no—
1672C42—44no—
1673C42—44no—
1674C42C22×D414yes—
1675C42C22×D414yes—
1676C42C22×D414yes—
1677C42C22×D418yes—
1678C42C22×D418yes—
1679C42C22×D418yes—
1680C42C22×D414yes—
1681C42C22×D418yes—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—22no—
1691C23—22no—
1692C23—24no—
1693C23—21no—
1694C23—22no—
1695C23—24no—
1696C23—21no—
1697C23—22no—
1698C23—22no—
1699C23—24no—
1700C23—22no—
1701C23—24no—
1702C23—21no—
1703C23—22no—
1704C23—21no—
1705C23—21no—
1706C23—22no—
1707C23—22no—
1708C23—24no—
1709C23—21no—
1710C23—21no—
1711C23—21no—
1712C23—22no—
1713C23—21no—
1714C23—22no—
1715C23—21no—
1716C23—22no—
1717C23—24no—
1718C23—24no—
1719C23—22no—
1720C23—21no—
1721C23—22no—
1722C23—21no—
1723C23C23×D412yes—
1724C23C2611yescharacteristic
1725Q8—28no—
1726Q8—28no—
1727Q8—48no—
1728Q8—44no—
1729Q8—44no—
1730Q8—44no—
1731Q8—84no—
1732Q8—84no—
1733Q8—84no—
1734Q8—88no—
1735D4—44no—
1736D4—416no—
1737D4—44no—
1738D4—44no—
1739D4—48no—
1740D4—48no—
1741D4—416no—
1742D4—44no—
1743D4—48no—
1744D4—44no—
1745D4—48no—
1746D4—84no—
1747D4—84no—
1748D4—84no—
1749D4—88no—
1750D4—84no—
1751D4—88no—
1752D4—84no—
1753D4—88no—
1754D4—164no—
1755D4—164no—
1756D4—164no—
1757C2×C4—21no—
1758C2×C4—22no—
1759C2×C4—21no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—22no—
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—21no—
1774C2×C4—21no—
1775C2×C4—28no—
1776C2×C4—28no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—22no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—24no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—21no—
1793C2×C4—22no—
1794C2×C4—21no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—24no—
1800C2×C4—24no—
1801C2×C4—22no—
1802C2×C4—24no—
1803C2×C4—24no—
1804C2×C4—21no—
1805C2×C4—22no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—21no—
1813C2×C4—21no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—24no—
1819C2×C4—24no—
1820C2×C4—22no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—21no—
1827C2×C4—24no—
1828C2×C4—24no—
1829C2×C4—21no—
1830C2×C4—22no—
1831C2×C4—48no—
1832C2×C4—44no—
1833C2×C4—48no—
1834C2×C4—48no—
1835C2×C4—416no—
1836C2×C4—48no—
1837C2×C4—44no—
1838C2×C4—44no—
1839C2×C4—44no—
1840C2×C4—48no—
1841C2×C4—44no—
1842C2×C4—84no—
1843C2×C4—82no—
1844C2×C4—82no—
1845C2×C4—88no—
1846C2×C4—88no—
1847C2×C4—88no—
1848C2×C4C23×D412yes—
1849C2×C4C23×D414yes—
1850C2×C4C23×D412yes—
1851C2×C4C23×D412yes—
1852C2×C4C23×D412yes—
1853C2×C4C23×D414yes—
1854C2×C4C23×D414yes—
1855C2×C4C23×D414yes—
1856C2×C4C23×D412yes—
1857C2×C4C23×D412yes—
1858C2×C4C2×2−1+414yes—
1859C2×C4C2×2−1+412yes—
1860C2×C4#58512yes—
1861C2×C4#58512yes—
1862C2×C4#58512yes—
1863C22—22no—
1864C22—22no—
1865C22—22no—
1866C22—41no—
1867C22—41no—
1868C22—41no—
1869C22—41no—
1870C22—41no—
1871C22—41no—
1872C22—42no—
1873C22—42no—
1874C22—44no—
1875C22—42no—
1876C22—44no—
1877C22—41no—
1878C22—42no—
1879C22—41no—
1880C22—44no—
1881C22—42no—
1882C22—42no—
1883C22—41no—
1884C22—41no—
1885C22—41no—
1886C22—42no—
1887C22—42no—
1888C22—44no—
1889C22—41no—
1890C22—41no—
1891C22—44no—
1892C22—42no—
1893C22—42no—
1894C22—41no—
1895C22—41no—
1896C22—42no—
1897C22—41no—
1898C22—42no—
1899C22—44no—
1900C22—42no—
1901C22—44no—
1902C22—41no—
1903C22—42no—
1904C22—41no—
1905C22C24×D411yescharacteristic
1906C22C22×2−1+411yescharacteristic
1907C22C2×#58511yescharacteristic
1908C22C2×#58511yescharacteristic
1909C22C2×#58511yescharacteristic
1910C22H(7,𝔽2)11yescharacteristic
1911C22H(7,𝔽2)11yescharacteristic
1912C4—22no—
1913C4—22no—
1914C4—24no—
1915C4—22no—
1916C4—24no—
1917C4—22no—
1918C4—24no—
1919C4—24no—
1920C4—24no—
1921C4—42no—
1922C4—41no—
1923C4—41no—
1924C4—42no—
1925C4—42no—
1926C4—44no—
1927C4—41no—
1928C4—41no—
1929C4—42no—
1930C4—42no—
1931C4—41no—
1932C4—41no—
1933C4—42no—
1934C4—42no—
1935C4—42no—
1936C4—44no—
1937C4—42no—
1938C4—44no—
1939C4#344914yes—
1940C4#349714yes—
1941C2—42no—
1942C2—81no—
1943C2—82no—
1944C2—81no—
1945C2—82no—
1946C2—84no—
1947C2C2×#344911yescharacteristic
1948C2C2×#349711yescharacteristic
1949C2#6285211yescharacteristic
1950C2#6295111yescharacteristic
1951C2#6295211yescharacteristic
1952C2#6296611yescharacteristic
1953C2#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×#3522C2semidirect
2. C2×#3461C2semidirect
3. #42797C2semidirect
4. #42796C2semidirect
5. #42423C2semidirect
6. #42421C2semidirect
7. #40499C2semidirect
8. #40497C2semidirect
9. #39726C2semidirect
10. #39725C2semidirect
11. #39718C2semidirect
12. #39598C2semidirect
13. #39597C2semidirect
14. #39590C2semidirect
15. #39138C2semidirect
16. #39137C2semidirect
17. #39130C2semidirect
18. #39126C2semidirect
19. #39125C2semidirect
20. #39118C2semidirect
21. #37621C2semidirect
22. #37553C2semidirect
23. #37193C2semidirect
24. #37192C2semidirect
25. #35625C2semidirect
26. #35539C2semidirect
27. #35292C2semidirect
28. #35220C2semidirect
29. #35212C2semidirect
30. #35198C2semidirect
31. #35191C2semidirect
32. #35189C2semidirect
33. #34977C2semidirect
34. #34911C2semidirect
35. Q8×#117C2semidirect
462. C2×C4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35222
C2×#34612
#427972
#427962
#424232
#424212
#404992
#404972
#397262
#397252
#397182
#395982
#395972
#395902
#391382
#391372
#391302
#391262
#391252
#391182
#376212
#375532
#371932
#371922
#356252
#355392
#352922
#352202
#352122
#351982
#351912
#351892
#349772
#349112
Q8×#1172