Finite Group Databasebeta

← #7654856

Subgroups — #7654856

Order 512.

4860 conjugacy classes of subgroups.

The subgroup lattice has 1697 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42342C214yesmaximal, complemented
2#42038C214yesmaximal, complemented
3#42020C214yesmaximal, complemented
4#39602C212yesmaximal, complemented
5#39547C212yesmaximal, complemented
6#39544C212yesmaximal, complemented
7#39474C212yesmaximal, complemented
8#39259C212yesmaximal, complemented
9#39257C212yesmaximal, complemented
10#38206C212yesmaximal, complemented
11#38202C212yesmaximal, complemented
12#37953C212yesmaximal, complemented
13#37859C212yesmaximal, complemented
14#37765C212yesmaximal, complemented
15#37671C212yesmaximal, complemented
16#37636C211yesmaximal, characteristic, complemented
17#37627C211yesmaximal, characteristic, complemented
18#37624C211yesmaximal, characteristic, complemented
19#36503C212yesmaximal, complemented
20#36372C212yesmaximal, complemented
21#36207C212yesmaximal, complemented
22#36148C212yesmaximal, complemented
23#35829C214yesmaximal, complemented
24#35209C211yesmaximal, characteristic, complemented
25#35207C211yesmaximal, characteristic, complemented
26#35200C211yesmaximal, characteristic, complemented
27#35196C211yesmaximal, characteristic, complemented
28#35185C211yesmaximal, characteristic, complemented
29#35172C211yesmaximal, characteristic, complemented
30#34941C211yesmaximal, characteristic, complemented
31#34935C211yesmaximal, characteristic
32#34929C211yesmaximal, characteristic, complemented
33#34225C211yesmaximal, characteristic, complemented
34#34129C211yesmaximal, characteristic, complemented
35#34126C211yesmaximal, characteristic, complemented
36C2×#541C2212yescomplemented
37C2×#533C2211yescharacteristic
38C2×#533C2212yescomplemented
39C2×#525C2212yes—
40C2×C4×#41C2211yescharacteristic
41C22×C4×D4C2211yescharacteristic
42#2864C2212yescomplemented
43#2860C2212yes—
44#2860C2212yes—
45#2859C2212yescomplemented
46#2855C2212yescomplemented
47#2854C2212yescomplemented
48#2851C2212yescomplemented
49#2851C2212yescomplemented
50#2851C2212yescomplemented
51#2850C2212yescomplemented
52#2848C2212yes—
53#2848C2212yes—
54#2841C2214yes—
55#2837C2214yescomplemented
56#2832C2214yescomplemented
57#2793C2214yescomplemented
58#2790C2214yescomplemented
59#2784C2214yescomplemented
60#2781C2214yescomplemented
61#2780C2214yescomplemented
62#2779C2214yescomplemented
63#2776C2214yescomplemented
64#2775C2214yescomplemented
65#2772C2214yescomplemented
66#2757C2214yes—
67#2756C2214yes—
68#2753C2214yes—
69#2745C2214yes—
70#2739C2214yes—
71#2736C2214yes—
72#2735C2214yes—
73#2723C2214yes—
74#2721C2214yescomplemented
75#2720C2214yescomplemented
76#2719C2214yescomplemented
77#2707C2214yes—
78#2694C2214yes—
79#2685C2214yes—
80#2685C2214yes—
81#2666C2214yescomplemented
82#2664C2214yescomplemented
83#2660C2212yescomplemented
84#2653C2214yescomplemented
85#2651C2214yescomplemented
86#2650C2214yescomplemented
87#2649C2214yescomplemented
88#2647C2212yescomplemented
89#2638C2214yes—
90#2632C2214yescomplemented
91#2629C2212yes—
92#2629C2212yescomplemented
93#2628C2212yes—
94#2628C2212yescomplemented
95#2628C2212yescomplemented
96#2626C2214yes—
97#2625C2212yescomplemented
98#2624C2212yes—
99#2624C2212yes—
100#2624C2212yescomplemented
101#2620C2212yescomplemented
102#2610C2214yes—
103#2609C2214yescomplemented
104#2606C2214yescomplemented
105#2601C2214yescomplemented
106#2599C2214yescomplemented
107#2596C2214yescomplemented
108#2594C2214yescomplemented
109#2580C2214yes—
110#2575C2214yes—
111#2575C2214yescomplemented
112#2574C2214yescomplemented
113#2574C2214yescomplemented
114#2573C2214yescomplemented
115#2571C2211yescharacteristic, complemented
116#2570C2212yescomplemented
117#2567C2211yescharacteristic, complemented
118#2566C2212yes—
119#2566C2212yes—
120#2563C2211yescharacteristic
121#2563C2211yescharacteristic
122#2563C2211yescharacteristic, complemented
123#2558C2214yes—
124#2556C2214yescomplemented
125#2554C2214yes—
126#2552C2211yescharacteristic, complemented
127#2552C2211yescharacteristic, complemented
128#2551C2211yescharacteristic, complemented
129#2550C2212yescomplemented
130#2547C2211yescharacteristic, complemented
131#2546C2211yescharacteristic, complemented
132#2542C2211yescharacteristic
133#2542C2211yescharacteristic
134#2538C2212yes—
135#2538C2212yes—
136#2538C2211yescharacteristic
137#2538C2211yescharacteristic
138#2537C2211yescharacteristic
139#2537C2211yescharacteristic
140#2536C2212yes—
141#2535C2212yes—
142#2534C2214yes—
143#2530C2214yescomplemented
144#2529C2214yescomplemented
145#2527C2214yescomplemented
146#2526C2214yes—
147#2519C2214yescomplemented
148#2517C2214yescomplemented
149#2516C2214yescomplemented
150#2515C2214yes—
151#2513C2212yes—
152#2512C2212yes—
153#2509C2212yescomplemented
154#2508C2212yescomplemented
155#2506C2212yescomplemented
156#2506C2212yescomplemented
157#2505C2214yescomplemented
158#2499C2212yes—
159#2497C2212yescomplemented
160#2497C2212yescomplemented
161#2497C2212yescomplemented
162#2496C2212yescomplemented
163#2495C2212yescomplemented
164#2495C2212yescomplemented
165#2494C2212yescomplemented
166#2494C2212yescomplemented
167#2492C2212yescomplemented
168#2491C2212yes—
169#2491C2212yescomplemented
170#2490C2212yes—
171#2490C2212yescomplemented
172#2489C2212yescomplemented
173#2486C2212yes—
174#2485C2212yes—
175#2485C2212yes—
176#2482C2214yes—
177#2480C2214yes—
178#2479C2214yes—
179#2475C2214yescomplemented
180#2474C2214yescomplemented
181#2472C2214yes—
182#2470C2214yescomplemented
183#2469C2214yescomplemented
184#2469C2214yescomplemented
185#2468C2214yescomplemented
186#2466C2214yescomplemented
187#2462C2214yescomplemented
188#2460C2214yescomplemented
189#2460C2214yescomplemented
190#2458C2214yes—
191#2458C2214yescomplemented
192#2454C2212yes—
193#2454C2214yescomplemented
194#2452C2212yes—
195#2450C2214yescomplemented
196#2441C2212yes—
197#2439C2212yes—
198#2432C2212yes—
199#2429C2212yescomplemented
200#2429C2212yescomplemented
201#2426C2212yescomplemented
202#2426C2212yescomplemented
203#2423C2212yescomplemented
204#2423C2212yescomplemented
205#2422C2212yes—
206#2421C2212yescomplemented
207#2421C2212yescomplemented
208#2420C2212yes—
209#2411C2214yes—
210#2408C2212yes—
211#2396C2214yescomplemented
212#2396C2214yescomplemented
213#2392C2214yes—
214#2373C2214yescomplemented
215#2370C2212yescomplemented
216#2370C2212yescomplemented
217#2367C2214yescomplemented
218#2362C2212yes—
219#2362C2212yes—
220#2359C2214yescomplemented
221#2357C2211yescharacteristic
222#2357C2211yescharacteristic
223#2356C2212yescomplemented
224#2354C2212yes—
225#2354C2212yes—
226#2354C2211yescharacteristic, complemented
227#2354C2211yescharacteristic, complemented
228#2353C2212yes—
229#2353C2212yes—
230#2351C2212yescomplemented
231Q8×C4⋊C4C2211yescharacteristic, complemented
232Q8×C4⋊C4C2211yescharacteristic, complemented
233#2349C2211yescharacteristic
234#2349C2211yescharacteristic
235#2347C2212yes—
236#2346C2212yes—
237#2346C2211yescharacteristic
238#2346C2211yescharacteristic
239#2346C2212yescomplemented
240#2346C2212yescomplemented
241#2345C2211yescharacteristic
242#2345C2211yescharacteristic
243#2343C2214yescomplemented
244#2342C2212yes—
245#2342C2212yes—
246#2341C2211yescharacteristic
247#2341C2211yescharacteristic
248D4×C22⋊C4C2211yescharacteristic
249D4×C22⋊C4C2211yescharacteristic
250#2327C2212yescomplemented
251#2326C2212yescomplemented
252#2324C2212yes—
253#2324C2212yes—
254#2323C2212yes—
255#2323C2212yes—
256#2323C2212yescomplemented
257#2323C2212yescomplemented
258#2320C2212yescomplemented
259#2317C2212yes—
260#2314C2212yescomplemented
261#2314C2212yescomplemented
262#2314C2212yescomplemented
263#2309C2212yes—
264C4×C4⋊Q8C2211yescharacteristic, complemented
265C4×C4⋊Q8C2212yescomplemented
266C4×C4⋊Q8C2211yescharacteristic, complemented
267C4×C4⋊Q8C2211yescharacteristic, complemented
268C4×C4⋊Q8C2211yescharacteristic, complemented
269C4×#125C2212yescomplemented
270C4×C22⋊Q8C2212yescomplemented
271C4×C22⋊Q8C2212yescomplemented
272C4×#121C2212yes—
273C4×#121C2212yes—
274#2293C2211yescharacteristic
275#2293C2212yes—
276#2293C2212yes—
277#2293C2212yes—
278#2293C2212yes—
279#2293C2211yescharacteristic
280#2293C2211yescharacteristic, complemented
281#2293C2211yescharacteristic, complemented
282#2290C2212yes—
283#2290C2212yes—
284#2285C2211yescharacteristic
285#2285C2211yescharacteristic
286#2285C2212yescomplemented
287#2285C2212yescomplemented
288#2283C2211yescharacteristic
289#2280C2212yes—
290#2280C2212yes—
291#2276C2212yescomplemented
292C42×Q8C2211yescharacteristic, complemented
293C42×Q8C2211yescharacteristic, complemented
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#541—48no—
303#533—28no—
304#533—48no—
305C2×C4⋊Q8C2311yescharacteristic
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
313C2×#125C2312yes—
314C2×#125C2312yes—
315C2×#125C2312yes—
316C2×#125C2314yes—
317C2×#125C2314yes—
318C2×#125C2314yes—
319C2×#124C2312yes—
320C2×#124C2314yes—
321#525—48no—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×C22⋊Q8C2312yes—
325C2×C22⋊Q8C2312yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×#121C2312yes—
334C2×#121C2312yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#120C2314yes—
338C4×#41—28no—
339C2×C4×Q8C2311yescharacteristic
340C2×C4×Q8C2312yes—
341C2×C4×Q8C2312yes—
342C2×C4×Q8C2311yescharacteristic
343C2×C4×Q8C2311yescharacteristic
344C2×C4×Q8C2311yescharacteristic
345C2×C4×Q8C2312yes—
346C2×C4×Q8C2312yes—
347C2×C4×Q8C2312yes—
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2314yes—
350C2×C4×Q8C2311yescharacteristic
351C2×C4×Q8C2311yescharacteristic
352C2×C4×D4—28no—
353C2×C4×D4C2311yescharacteristic
354C2×C4×D4C2311yescharacteristic
355C2×C4×D4C2311yescharacteristic
356C2×C4×D4C2311yescharacteristic
357C2×C4×D4C2311yescharacteristic
358C2×C4×D4C2312yes—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2311yescharacteristic
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2314yes—
368C2×C4×D4C2314yes—
369C2×#117C2312yes—
370C2×#117C2312yes—
371C2×#117C2311yescharacteristic
372C2×#117C2312yes—
373C2×#117C2312yes—
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2312yes—
379C2×#117C2314yes—
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2314yes—
383C2×#117C2312yes—
384C22×C4⋊C4C2311yescharacteristic
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2312yes—
387C22×C22⋊C4C2312yes—
388C22×C42C2312yes—
389C22×C42C2312yes—
390C22×C42C2312yes—
391C22×C42C2311yescharacteristic
392#401C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2314yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#399C2314yes—
406#399C2314yes—
407#399C2314yes—
408#399C2314yes—
409#399C2314yes—
410#399C2314yes—
411#399C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2314yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#397C2314yes—
426#397C2314yes—
427#397C2314yes—
428#397C2314yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#396C2314yes—
440#396C2314yes—
441#396C2314yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2314yes—
476#393C2314yes—
477#393C2314yes—
478#393C2314yes—
479#392C2314yes—
480#391C2312yes—
481#391C2312yes—
482#391C2312yes—
483#391C2312yes—
484#391C2314yes—
485#391C2312yes—
486#391C2314yes—
487#391C2312yes—
488#391C2312yes—
489#390C2312yes—
490#390C2312yes—
491#390C2312yes—
492#390C2312yes—
493#390C2312yes—
494#390C2314yes—
495#390C2314yes—
496#390C2314yes—
497#390C2314yes—
498#390C2311yescharacteristic
499#390C2311yescharacteristic
500#390C2311yescharacteristic
501#390C2311yescharacteristic
502#390C2311yescharacteristic
503#390C2311yescharacteristic
504#390C2312yes—
505#390C2312yes—
506#390C2312yes—
507#390C2312yes—
508#390C2311yescharacteristic
509#390C2311yescharacteristic
510#390C2314yes—
511#390C2312yes—
512#390C2312yes—
513#389C2312yes—
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2314yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2312yes—
522#389C2312yes—
523#389C2312yes—
524#389C2312yes—
525#389C2312yes—
526#389C2312yes—
527#389C2312yes—
528#389C2312yes—
529#389C2312yes—
530#389C2314yes—
531#389C2314yes—
532#389C2314yes—
533#389C2314yes—
534#389C2314yes—
535#389C2312yes—
536#389C2314yes—
537#389C2314yes—
538#389C2312yes—
539#389C2311yescharacteristic
540#389C2312yes—
541#389C2311yescharacteristic
542#389C2311yescharacteristic
543#389C2311yescharacteristic
544#389C2311yescharacteristic
545#389C2311yescharacteristic
546#389C2311yescharacteristic
547#389C2311yescharacteristic
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2314yes—
556#388C2314yes—
557#388C2314yes—
558#388C2314yes—
559#388C2314yes—
560#388C2314yes—
561#388C2314yes—
562#388C2314yes—
563#388C2314yes—
564#388C2314yes—
565#388C2314yes—
566#388C2314yes—
567#388C2314yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2312yes—
580#388C2312yes—
581#388C2314yes—
582#388C2314yes—
583#388C2312yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2312yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2312yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#387C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#387C2314yes—
617#387C2314yes—
618#387C2314yes—
619#387C2314yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#386C2314yes—
643#386C2314yes—
644#386C2312yes—
645#386C2312yes—
646#386C2312yes—
647#386C2312yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#385C2314yes—
652#385C2314yes—
653#385C2314yes—
654#385C2314yes—
655#385C2314yes—
656#385C2314yes—
657#385C2312yes—
658#385C2314yes—
659#385C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2314yes—
666#385C2312yes—
667#385C2312yes—
668#385C2312yes—
669#385C2314yes—
670#384C2311yescharacteristic
671#384C2311yescharacteristic
672#384C2312yes—
673#384C2312yes—
674#384C2312yes—
675#384C2312yes—
676#384C2312yes—
677#384C2312yes—
678#384C2311yescharacteristic
679#384C2311yescharacteristic
680#384C2312yes—
681#383C2314yes—
682#383C2314yes—
683#383C2312yes—
684#382C2312yes—
685#382C2312yes—
686#382C2312yes—
687#382C2312yes—
688#382C2312yes—
689#382C2311yescharacteristic
690#382C2312yes—
691#382C2314yes—
692#382C2314yes—
693#382C2312yes—
694#382C2311yescharacteristic
695#382C2314yes—
696#382C2312yes—
697#382C2312yes—
698#381C2314yes—
699#381C2314yes—
700#381C2312yes—
701#381C2312yes—
702#381C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2314yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2311yescharacteristic
718#380C2311yescharacteristic
719#380C2311yescharacteristic
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#379C2314yes—
734#379C2314yes—
735#379C2312yes—
736#379C2312yes—
737#379C2314yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2311yescharacteristic
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2314yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2314yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2314yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2311yescharacteristic
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2312yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2311yescharacteristic
787C4×C22⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804#376C2311yescharacteristic
805#376C2312yes—
806#376C2312yes—
807#376C2312yes—
808#376C2314yes—
809#376C2311yescharacteristic
810C2×#95C2312yes—
811C2×#95C2312yes—
812C43C2312yes—
813C43C2311yescharacteristic
814C43C2311yescharacteristic
815C43C2312yes—
816C25C2412yes—
817C2×#41—24no—
818C2×#41—24no—
819C2×#41—42no—
820C22×Q8C2412yes—
821C22×Q8C2411yescharacteristic
822C22×Q8C2412yes—
823C22×Q8C2414yes—
824C22×D4—24no—
825C22×D4—24no—
826C22×D4—42no—
827C22×D4C2411yescharacteristic
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2414yes—
833C22×D4C2414yes—
834C23×C4—28no—
835C23×C4—44no—
836C23×C4—44no—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C4⋊Q8—28no—
853C4⋊Q8—24no—
854C4⋊Q8—24no—
855C4⋊Q8—44no—
856C4⋊Q8—44no—
857#126—48no—
858#126—48no—
859#126—48no—
860#125—28no—
861#125—44no—
862#125—44no—
863#125—48no—
864#125—48no—
865#125—48no—
866#124—48no—
867#124—44no—
868#123—48no—
869#123—48no—
870C22⋊Q8—28no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—48no—
875C22⋊Q8—44no—
876C22⋊Q8—44no—
877C22⋊Q8—44no—
878C22⋊Q8—44no—
879#121—28no—
880#121—44no—
881#121—44no—
882#121—44no—
883#120—48no—
884C4×Q8—24no—
885C4×Q8—24no—
886C4×Q8—24no—
887C4×Q8—24no—
888C4×Q8—28no—
889C4×Q8—28no—
890C4×Q8—44no—
891C4×Q8—44no—
892C4×Q8—48no—
893C4×Q8—42no—
894C4×Q8—42no—
895C4×Q8—44no—
896C4×Q8—44no—
897C4×D4—24no—
898C4×D4—24no—
899C4×D4—28no—
900C4×D4—28no—
901C4×D4—24no—
902C4×D4—24no—
903C4×D4—28no—
904C4×D4—28no—
905C4×D4—24no—
906C4×D4—24no—
907C4×D4—24no—
908C4×D4—24no—
909C4×D4—42no—
910C4×D4—42no—
911C4×D4—48no—
912C4×D4—48no—
913#117—24no—
914#117—28no—
915#117—28no—
916#117—44no—
917#117—48no—
918#117—44no—
919#117—44no—
920#117—44no—
921#117—44no—
922#117—44no—
923#117—42no—
924#117—42no—
925#117—44no—
926#117—48no—
927#117—44no—
928C2×C4⋊C4—24no—
929C2×C4⋊C4C2411yescharacteristic
930C2×C4⋊C4C2411yescharacteristic
931C2×C4⋊C4C2412yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2412yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2414yes—
944C2×C4⋊C4C2414yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2411yescharacteristic
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2412yes—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2414yes—
955C2×C4⋊C4C2414yes—
956C2×C4⋊C4C2414yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C22⋊C4—28no—
1000C2×C22⋊C4—44no—
1001C2×C22⋊C4—44no—
1002C2×C22⋊C4C2411yescharacteristic
1003C2×C22⋊C4C2411yescharacteristic
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2412yes—
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2414yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2414yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2411yescharacteristic
1030C2×C22⋊C4C2411yescharacteristic
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C42—28no—
1060C2×C42—44no—
1061C2×C42—44no—
1062C2×C42#4118yes—
1063C2×C42C2412yes—
1064C2×C42C2411yescharacteristic
1065C2×C42C2411yescharacteristic
1066C2×C42C2411yescharacteristic
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2412yes—
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2414yes—
1075C2×C42C2414yes—
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2411yescharacteristic
1082C2×C42C2411yescharacteristic
1083C2×C42C2411yescharacteristic
1084C2×C42C2412yes—
1085C2×C42C2411yescharacteristic
1086C2×C42C2414yes—
1087C2×C42C2414yes—
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2412yes—
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104#95C2411yescharacteristic
1105#95C2411yescharacteristic
1106#95C2412yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2412yes—
1110#95C2412yes—
1111#95C2412yes—
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172C24—24no—
1173C24—24no—
1174C24—42no—
1175C24—42no—
1176C24—42no—
1177C24—42no—
1178C24—42no—
1179C24C2512yes—
1180C24C2512yes—
1181C24C2511yescharacteristic
1182C24C2512yes—
1183#41—416no—
1184C2×Q8—22no—
1185C2×Q8—24no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—22no—
1189C2×Q8—24no—
1190C2×Q8—42no—
1191C2×Q8—42no—
1192C2×Q8—44no—
1193C2×Q8—44no—
1194C2×Q8—44no—
1195C2×Q8H(5,𝔽2)14yes—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—28no—
1199C2×D4—22no—
1200C2×D4—24no—
1201C2×D4—22no—
1202C2×D4—22no—
1203C2×D4—24no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—416no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D42−1+414yes—
1218C22×C4—22no—
1219C22×C4—22no—
1220C22×C4—22no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—24no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—42no—
1242C22×C4—42no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—42no—
1252C22×C4—42no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—816no—
1261C22×C4C2×#4114yes—
1262C22×C4C2×#4114yes—
1263C22×C4C2×#4114yes—
1264C22×C4C2512yes—
1265C22×C4C2512yes—
1266C22×C4C2511yescharacteristic
1267C22×C4C2511yescharacteristic
1268C22×C4C2512yes—
1269C22×C4C2512yes—
1270C22×C4C2514yes—
1271C22×C4C2514yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2512yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2512yes—
1282C22×C4C2514yes—
1283C22×C4C2514yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2512yes—
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2511yescharacteristic
1295C4⋊C4—24no—
1296C4⋊C4—22no—
1297C4⋊C4—22no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—22no—
1301C4⋊C4—22no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—28no—
1305C4⋊C4—28no—
1306C4⋊C4—24no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—28no—
1311C4⋊C4—28no—
1312C4⋊C4—28no—
1313C4⋊C4—24no—
1314C4⋊C4—22no—
1315C4⋊C4—22no—
1316C4⋊C4—24no—
1317C4⋊C4—28no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—24no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—22no—
1326C4⋊C4—22no—
1327C4⋊C4—28no—
1328C4⋊C4—24no—
1329C4⋊C4—41no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—41no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—42no—
1337C4⋊C4—44no—
1338C4⋊C4—42no—
1339C4⋊C4—42no—
1340C4⋊C4—44no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—44no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—42no—
1349C4⋊C4—42no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C22⋊C4—24no—
1366C22⋊C4—28no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—28no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—24no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—28no—
1377C22⋊C4—28no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—42no—
1388C22⋊C4—41no—
1389C22⋊C4—42no—
1390C22⋊C4—42no—
1391C22⋊C4—44no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—44no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—41no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—42no—
1405C22⋊C4—42no—
1406C22⋊C4—42no—
1407C22⋊C4—42no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C42—24no—
1423C42—24no—
1424C42—24no—
1425C42—28no—
1426C42—22no—
1427C42—24no—
1428C42—24no—
1429C42—22no—
1430C42—24no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—24no—
1435C42—24no—
1436C42—22no—
1437C42—22no—
1438C42—22no—
1439C42—24no—
1440C42—24no—
1441C42—22no—
1442C42—22no—
1443C42—28no—
1444C42—24no—
1445C42—42no—
1446C42—42no—
1447C42—42no—
1448C42—42no—
1449C42—41no—
1450C42—41no—
1451C42—42no—
1452C42—42no—
1453C42—44no—
1454C42—44no—
1455C42—42no—
1456C42—42no—
1457C42—44no—
1458C42—44no—
1459C42C2×#4114yes—
1460C42C2×#4114yes—
1461C42C2×#4114yes—
1462C42C2×#4114yes—
1463C23—22no—
1464C23—22no—
1465C23—21no—
1466C23—21no—
1467C23—21no—
1468C23—21no—
1469C23—22no—
1470C23—21no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—21no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—22no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—22no—
1489C23—48no—
1490C23—48no—
1491C23—84no—
1492C23—84no—
1493C23—84no—
1494C23—84no—
1495C23—84no—
1496C23C22×#4112yes—
1497C23C2×2−1+414yes—
1498C23C2611yescharacteristic
1499Q8—28no—
1500Q8—48no—
1501Q8—48no—
1502Q8—88no—
1503D4—28no—
1504D4—48no—
1505D4—48no—
1506D4—44no—
1507D4—44no—
1508D4—88no—
1509D4—88no—
1510C2×C4—22no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—22no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—21no—
1523C2×C4—21no—
1524C2×C4—28no—
1525C2×C4—28no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—24no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—24no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—24no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—24no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—24no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—21no—
1577C2×C4—22no—
1578C2×C4—24no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—24no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—44no—
1593C2×C4—48no—
1594C2×C4—48no—
1595C2×C4—48no—
1596C2×C4—48no—
1597C2×C4—48no—
1598C2×C4—48no—
1599C2×C4—48no—
1600C2×C4—84no—
1601C2×C4—84no—
1602C2×C4—84no—
1603C2×C4—84no—
1604C2×C4—84no—
1605C2×C4C22×#4112yes—
1606C2×C4C22×#4112yes—
1607C2×C4C22×#4112yes—
1608C2×C4C22×#4112yes—
1609C2×C4C22×#4112yes—
1610C2×C4C22×#4112yes—
1611C2×C4C2×H(5,𝔽2)14yes—
1612C2×C4C2×H(5,𝔽2)12yes—
1613C2×C4C2×2−1+412yes—
1614C2×C4#58512yes—
1615C2×C4#58512yes—
1616C2×C4#58512yes—
1617C2×C4#58512yes—
1618C22—24no—
1619C22—24no—
1620C22—22no—
1621C22—22no—
1622C22—24no—
1623C22—22no—
1624C22—41no—
1625C22—42no—
1626C22—41no—
1627C22—41no—
1628C22—42no—
1629C22—41no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—42no—
1641C22—42no—
1642C22—42no—
1643C22—42no—
1644C22—42no—
1645C22—42no—
1646C22—816no—
1647C22C23×#4111yescharacteristic
1648C22C22×H(5,𝔽2)11yescharacteristic
1649C22C22×2−1+411yescharacteristic
1650C22C2×#58511yescharacteristic
1651C22C2×#58511yescharacteristic
1652C22C2×#58511yescharacteristic
1653C22C2×#58511yescharacteristic
1654C4—22no—
1655C4—22no—
1656C4—22no—
1657C4—24no—
1658C4—22no—
1659C4—22no—
1660C4—22no—
1661C4—41no—
1662C4—42no—
1663C4—44no—
1664C4—41no—
1665C4—42no—
1666C4—41no—
1667C4—42no—
1668C4—44no—
1669C4—42no—
1670C4—41no—
1671C4—42no—
1672C4—41no—
1673C4—42no—
1674C4—42no—
1675C4—42no—
1676C4—41no—
1677C4—42no—
1678C4—42no—
1679C4—44no—
1680C4—42no—
1681C4—42no—
1682C4—44no—
1683C4#349414yes—
1684C4#349514yes—
1685C2—44no—
1686C2—42no—
1687C2—82no—
1688C2—82no—
1689C2#6268611yescharacteristic
1690C2C2×#349411yescharacteristic
1691C2C2×#349511yescharacteristic
1692C2#6301511yescharacteristic
1693C2#6302211yescharacteristic
1694C2#6302311yescharacteristic
1695C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34935C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #42342C2semidirect
2. #42038C2semidirect
3. #42020C2semidirect
4. #39602C2semidirect
5. #39547C2semidirect
6. #39544C2semidirect
7. #39474C2semidirect
8. #39259C2semidirect
9. #39257C2semidirect
10. #38206C2semidirect
11. #38202C2semidirect
12. #37953C2semidirect
13. #37859C2semidirect
14. #37765C2semidirect
15. #37671C2semidirect
16. #37636C2semidirect
17. #37627C2semidirect
18. #37624C2semidirect
19. #36503C2semidirect
20. #36372C2semidirect
21. #36207C2semidirect
22. #36148C2semidirect
23. #35829C2semidirect
24. #35209C2semidirect
25. #35207C2semidirect
26. #35200C2semidirect
27. #35196C2semidirect
28. #35185C2semidirect
29. #35172C2semidirect
30. #34941C2semidirect
32. #34929C2semidirect
33. #34225C2semidirect
34. #34129C2semidirect
35. #34126C2semidirect
36. C2×#541C22semidirect
38. C2×#533C22semidirect
42. #2864C22semidirect
45. #2859C22semidirect
46. #2855C22semidirect
47. #2854C22semidirect
48. #2851C22semidirect
49. #2851C22semidirect
50. #2851C22semidirect
51. #2850C22semidirect
55. #2837C22semidirect
56. #2832C22semidirect
57. #2793C22semidirect
58. #2790C22semidirect
59. #2784C22semidirect
60. #2781C22semidirect
61. #2780C22semidirect
62. #2779C22semidirect
63. #2776C22semidirect
64. #2775C22semidirect
65. #2772C22semidirect
74. #2721C22semidirect
75. #2720C22semidirect
76. #2719C22semidirect
81. #2666C22semidirect
82. #2664C22semidirect
83. #2660C22semidirect
84. #2653C22semidirect
85. #2651C22semidirect
86. #2650C22semidirect
87. #2649C22semidirect
88. #2647C22semidirect
90. #2632C22semidirect
92. #2629C22semidirect
94. #2628C22semidirect
95. #2628C22semidirect
97. #2625C22semidirect
100. #2624C22semidirect
101. #2620C22semidirect
103. #2609C22semidirect
104. #2606C22semidirect
105. #2601C22semidirect
106. #2599C22semidirect
107. #2596C22semidirect
108. #2594C22semidirect
111. #2575C22semidirect
112. #2574C22semidirect
113. #2574C22semidirect
114. #2573C22semidirect
115. #2571C22semidirect
116. #2570C22semidirect
117. #2567C22semidirect
122. #2563C22semidirect
124. #2556C22semidirect
126. #2552C22semidirect
127. #2552C22semidirect
128. #2551C22semidirect
129. #2550C22semidirect
130. #2547C22semidirect
131. #2546C22semidirect
143. #2530C22semidirect
144. #2529C22semidirect
145. #2527C22semidirect
147. #2519C22semidirect
148. #2517C22semidirect
149. #2516C22semidirect
153. #2509C22semidirect
154. #2508C22semidirect
155. #2506C22semidirect
156. #2506C22semidirect
157. #2505C22semidirect
159. #2497C22semidirect
160. #2497C22semidirect
161. #2497C22semidirect
162. #2496C22semidirect
163. #2495C22semidirect
164. #2495C22semidirect
165. #2494C22semidirect
166. #2494C22semidirect
167. #2492C22semidirect
169. #2491C22semidirect
171. #2490C22semidirect
172. #2489C22semidirect
179. #2475C22semidirect
180. #2474C22semidirect
182. #2470C22semidirect
183. #2469C22semidirect
184. #2469C22semidirect
185. #2468C22semidirect
186. #2466C22semidirect
187. #2462C22semidirect
188. #2460C22semidirect
189. #2460C22semidirect
191. #2458C22semidirect
193. #2454C22semidirect
195. #2450C22semidirect
199. #2429C22semidirect
200. #2429C22semidirect
201. #2426C22semidirect
202. #2426C22semidirect
203. #2423C22semidirect
204. #2423C22semidirect
206. #2421C22semidirect
207. #2421C22semidirect
211. #2396C22semidirect
212. #2396C22semidirect
214. #2373C22semidirect
215. #2370C22semidirect
216. #2370C22semidirect
217. #2367C22semidirect
220. #2359C22semidirect
223. #2356C22semidirect
226. #2354C22semidirect
227. #2354C22semidirect
230. #2351C22semidirect
231. Q8×C4⋊C4C22semidirect
232. Q8×C4⋊C4C22semidirect
239. #2346C22semidirect
240. #2346C22semidirect
243. #2343C22semidirect
250. #2327C22semidirect
251. #2326C22semidirect
256. #2323C22semidirect
257. #2323C22semidirect
258. #2320C22semidirect
260. #2314C22semidirect
261. #2314C22semidirect
262. #2314C22semidirect
264. C4×C4⋊Q8C22semidirect
265. C4×C4⋊Q8C22semidirect
266. C4×C4⋊Q8C22semidirect
267. C4×C4⋊Q8C22semidirect
268. C4×C4⋊Q8C22semidirect
269. C4×#125C22semidirect
270. C4×C22⋊Q8C22semidirect
271. C4×C22⋊Q8C22semidirect
280. #2293C22semidirect
281. #2293C22semidirect
286. #2285C22semidirect
287. #2285C22semidirect
291. #2276C22semidirect
292. C42×Q8C22semidirect
293. C42×Q8C22semidirect
297. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#423422
#420382
#420202
#396022
#395472
#395442
#394742
#392592
#392572
#382062
#382022
#379532
#378592
#377652
#376712
#376362
#376272
#376242
#365032
#363722
#362072
#361482
#358292
#352092
#352072
#352002
#351962
#351852
#351722
#349412
#349352
#349292
#342252
#341292
#341262