Finite Group Databasebeta

← #7654419

Subgroups — #7654419

Order 512.

4848 conjugacy classes of subgroups.

The subgroup lattice has 1691 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42750C212yesmaximal, complemented
2#42642C212yesmaximal, complemented
3#41464C214yesmaximal, complemented
4#41456C214yesmaximal, complemented
5#40072C212yesmaximal, complemented
6#40063C214yesmaximal, complemented
7#39505C211yesmaximal, characteristic, complemented
8#39200C211yesmaximal, characteristic, complemented
9#39156C211yesmaximal, characteristic, complemented
10#39024C212yesmaximal, complemented
11#39014C214yesmaximal, complemented
12#38943C211yesmaximal, characteristic, complemented
13#38117C212yesmaximal, complemented
14#37856C212yesmaximal, complemented
15#37709C212yesmaximal, complemented
16#37671C212yesmaximal, complemented
17#37627C211yesmaximal, characteristic, complemented
18#37500C212yesmaximal, complemented
19#36555C212yesmaximal, complemented
20#36490C212yesmaximal, complemented
21#36406C211yesmaximal, characteristic, complemented
22#36161C211yesmaximal, characteristic, complemented
23#36134C211yesmaximal, characteristic, complemented
24#36100C211yesmaximal, characteristic
25#35726C212yesmaximal, complemented
26#35710C212yesmaximal, complemented
27#35283C211yesmaximal, characteristic, complemented
28#35209C211yesmaximal, characteristic, complemented
29#35163C212yesmaximal, complemented
30#35014C212yesmaximal, complemented
31#34974C211yesmaximal, characteristic, complemented
32#34813C212yesmaximal, complemented
33#34316C211yesmaximal, characteristic, complemented
34C4×#556C211yesmaximal, characteristic, complemented
35#34126C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#547C2211yescharacteristic
38C2×#541C2212yescomplemented
39C2×#533C2212yescomplemented
40C2×#525C2212yes—
41C22×C4×D4C2211yescharacteristic
42#2868C2211yescharacteristic, complemented
43#2866C2214yescomplemented
44#2864C2214yescomplemented
45#2862C2211yescharacteristic, complemented
46#2860C2212yes—
47#2859C2212yescomplemented
48#2857C2211yescharacteristic
49#2857C2211yescharacteristic
50#2857C2212yescomplemented
51#2857C2212yescomplemented
52#2848C2212yes—
53#2848C2212yes—
54#2837C2214yescomplemented
55#2827C2214yescomplemented
56#2826C2214yes—
57#2795C2214yescomplemented
58#2786C2214yescomplemented
59#2777C2214yescomplemented
60#2773C2214yescomplemented
61#2769C2214yescomplemented
62#2756C2214yes—
63#2754C2214yescomplemented
64#2744C2214yes—
65#2744C2214yescomplemented
66#2740C2214yes—
67#2738C2214yescomplemented
68#2735C2214yes—
69#2735C2214yes—
70#2731C2214yescomplemented
71#2730C2214yes—
72#2723C2214yescomplemented
73#2707C2214yescomplemented
74#2702C2214yes—
75#2702C2214yes—
76#2694C2214yescomplemented
77#2690C2214yescomplemented
78#2690C2214yescomplemented
79#2685C2214yes—
80#2685C2214yes—
81#2664C2214yescomplemented
82#2652C2214yescomplemented
83#2652C2214yescomplemented
84#2651C2214yescomplemented
85#2649C2214yes—
86#2649C2214yescomplemented
87#2649C2214yescomplemented
88#2648C2214yes—
89#2647C2212yescomplemented
90#2646C2214yescomplemented
91#2644C2212yescomplemented
92#2642C2212yescomplemented
93#2629C2212yescomplemented
94#2628C2212yes—
95#2626C2214yes—
96#2625C2212yescomplemented
97#2625C2212yescomplemented
98#2624C2212yescomplemented
99#2620C2212yes—
100#2620C2212yescomplemented
101#2597C2214yescomplemented
102#2592C2212yes—
103#2589C2214yes—
104#2589C2214yescomplemented
105#2587C2214yes—
106#2587C2214yescomplemented
107#2587C2214yescomplemented
108#2582C2212yescomplemented
109#2577C2214yes—
110#2573C2214yescomplemented
111#2571C2212yescomplemented
112#2553C2214yescomplemented
113#2553C2214yescomplemented
114#2552C2211yescharacteristic, complemented
115#2552C2211yescharacteristic, complemented
116#2547C2211yescharacteristic
117#2546C2211yescharacteristic, complemented
118#2542C2211yescharacteristic
119#2542C2212yes—
120#2542C2211yescharacteristic, complemented
121#2538C2212yes—
122#2538C2211yescharacteristic
123#2538C2212yes—
124#2537C2211yescharacteristic
125#2533C2214yescomplemented
126#2532C2212yescomplemented
127#2529C2214yescomplemented
128#2529C2212yescomplemented
129#2523C2214yescomplemented
130#2522C2214yes—
131#2522C2214yescomplemented
132#2521C2214yescomplemented
133#2519C2214yescomplemented
134#2518C2214yes—
135#2518C2214yescomplemented
136#2517C2214yescomplemented
137#2515C2214yescomplemented
138#2512C2212yes—
139#2512C2211yescharacteristic, complemented
140#2511C2212yescomplemented
141#2511C2212yescomplemented
142#2511C2212yescomplemented
143#2508C2212yescomplemented
144#2508C2211yescharacteristic, complemented
145#2506C2212yescomplemented
146#2500C2212yes—
147#2499C2212yescomplemented
148#2499C2212yescomplemented
149#2497C2212yes—
150#2497C2212yes—
151#2497C2212yescomplemented
152#2497C2212yescomplemented
153#2495C2212yes—
154#2495C2211yescharacteristic
155#2492C2212yes—
156#2492C2212yes—
157#2492C2212yescomplemented
158#2492C2212yescomplemented
159#2491C2212yes—
160#2491C2211yescharacteristic
161#2491C2212yescomplemented
162#2490C2212yes—
163#2490C2212yescomplemented
164#2489C2212yes—
165#2489C2212yescomplemented
166#2488C2214yescomplemented
167#2488C2214yescomplemented
168#2485C2212yes—
169#2480C2214yes—
170#2479C2212yes—
171#2474C2212yes—
172#2472C2214yes—
173#2472C2214yes—
174#2469C2214yescomplemented
175#2469C2214yescomplemented
176#2468C2214yescomplemented
177#2466C2214yes—
178#2466C2214yescomplemented
179#2460C2214yes—
180#2455C2214yes—
181#2454C2214yes—
182#2453C2214yescomplemented
183#2453C2214yescomplemented
184#2451C2211yescharacteristic, complemented
185#2451C2212yescomplemented
186#2451C2212yescomplemented
187#2448C2212yes—
188#2448C2211yescharacteristic, complemented
189#2447C2212yes—
190#2441C2212yescomplemented
191#2441C2212yescomplemented
192#2439C2212yescomplemented
193#2435C2212yes—
194#2432C2212yescomplemented
195#2429C2212yes—
196#2429C2214yescomplemented
197#2429C2212yescomplemented
198#2427C2212yes—
199#2427C2212yes—
200#2426C2211yescharacteristic
201#2426C2212yes—
202#2423C2212yes—
203#2423C2212yes—
204#2423C2211yescharacteristic
205#2423C2212yescomplemented
206#2423C2214yescomplemented
207#2423C2212yescomplemented
208#2422C2212yes—
209#2421C2212yescomplemented
210#2418C2214yes—
211#2415C2212yes—
212#2415C2212yes—
213#2415C2212yes—
214#2408C2212yes—
215#2407C2212yes—
216#2398C2214yes—
217#2398C2214yescomplemented
218#2396C2212yescomplemented
219#2395C2212yes—
220#2374C2214yescomplemented
221#2373C2214yescomplemented
222#2367C2212yes—
223#2367C2212yes—
224#2365C2211yescharacteristic, complemented
225#2365C2211yescharacteristic, complemented
226#2365C2212yescomplemented
227#2363C2212yes—
228#2362C2212yescomplemented
229#2362C2212yescomplemented
230#2361C2212yes—
231#2360C2212yes—
232#2360C2212yescomplemented
233#2360C2212yescomplemented
234#2357C2211yescharacteristic
235#2357C2211yescharacteristic
236#2356C2212yescomplemented
237#2355C2211yescharacteristic, complemented
238#2354C2211yescharacteristic
239#2354C2211yescharacteristic
240#2354C2211yescharacteristic, complemented
241#2353C2212yes—
242#2353C2212yes—
243Q8×C4⋊C4C2212yescomplemented
244#2349C2211yescharacteristic
245#2349C2211yescharacteristic
246D4×C4⋊C4C2212yes—
247#2347C2212yescomplemented
248#2345C2211yescharacteristic
249#2345C2211yescharacteristic
250#2345C2212yescomplemented
251#2342C2212yes—
252#2342C2212yes—
253#2341C2212yescomplemented
254D4×C22⋊C4C2211yescharacteristic
255D4×C22⋊C4C2211yescharacteristic
256#2335C2214yescomplemented
257#2331C2212yescomplemented
258#2330C2212yescomplemented
259#2329C2214yescomplemented
260#2324C2212yes—
261#2323C2212yescomplemented
262#2323C2212yescomplemented
263#2320C2212yescomplemented
264#2314C2212yes—
265#2314C2212yescomplemented
266#2312C2214yes—
267C4×C4⋊Q8C2211yescharacteristic, complemented
268C4×C4⋊Q8C2211yescharacteristic, complemented
269C4×C4⋊Q8C2211yescharacteristic, complemented
270C4×#126C2214yescomplemented
271C4×#126C2212yescomplemented
272C4×#124C2214yes—
273C4×#124C2212yes—
274C4×#124C2212yes—
275C4×#124C2211yescharacteristic, complemented
276C4×#124C2214yescomplemented
277C4×C22⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2212yescomplemented
279C4×C22⋊Q8C2212yescomplemented
280C4×#121C2211yescharacteristic
281#2297C2212yescomplemented
282#2297C2212yescomplemented
283#2293C2211yescharacteristic
284#2293C2211yescharacteristic
285#2293C2211yescharacteristic, complemented
286#2290C2212yes—
287#2290C2212yes—
288#2283C2211yescharacteristic
289#2280C2212yes—
290#2280C2212yes—
291#2274C2212yescomplemented
292C42×Q8C2211yescharacteristic, complemented
293C42×Q8C2212yescomplemented
294C42×D4C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C4×#117C2211yescharacteristic
297C4×#117C2212yescomplemented
298C2×C4×C22⋊C4C2212yes—
299C22×#41C2312yes—
300C23×D4C2311yescharacteristic
301C24×C4C2312yes—
302#556—28no—
303#547—28no—
304#541—48no—
305#533—48no—
306C2×C4⋊Q8C2311yescharacteristic
307C2×C4⋊Q8C2311yescharacteristic
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×#126C2314yes—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2314yes—
319C2×#125C2312yes—
320C2×#125C2314yes—
321C2×#124C2312yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2311yescharacteristic
325C2×#124C2314yes—
326#525—48no—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2311yescharacteristic
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×#121C2312yes—
343C2×#121C2311yescharacteristic
344C2×#121C2312yes—
345C2×#121C2312yes—
346C2×#120C2314yes—
347C2×C4×Q8C2311yescharacteristic
348C2×C4×Q8C2312yes—
349C2×C4×Q8C2311yescharacteristic
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2312yes—
353C2×C4×Q8C2312yes—
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2314yes—
356C2×C4×Q8C2314yes—
357C2×C4×Q8C2311yescharacteristic
358C2×C4×D4—28no—
359C2×C4×D4C2311yescharacteristic
360C2×C4×D4C2312yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2311yescharacteristic
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2311yescharacteristic
369C2×C4×D4C2312yes—
370C2×C4×D4C2314yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2312yes—
375C2×#117C2312yes—
376C2×#117C2312yes—
377C2×#117C2312yes—
378C2×#117C2312yes—
379C2×#117C2311yescharacteristic
380C2×#117C2312yes—
381C2×#117C2312yes—
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2312yes—
384C22×C22⋊C4C2312yes—
385C22×C22⋊C4C2312yes—
386C22×C22⋊C4C2312yes—
387C22×C42C2311yescharacteristic
388C22×C42C2312yes—
389C22×C42C2312yes—
390#400C2314yes—
391#400C2314yes—
392#400C2314yes—
393#400C2314yes—
394#400C2314yes—
395#400C2314yes—
396#400C2312yes—
397#400C2314yes—
398#400C2314yes—
399#400C2314yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2312yes—
404#400C2314yes—
405#400C2314yes—
406#399C2314yes—
407#399C2312yes—
408#399C2314yes—
409#399C2314yes—
410#399C2312yes—
411#399C2314yes—
412#399C2314yes—
413#399C2314yes—
414#399C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#398C2314yes—
419#398C2314yes—
420#398C2314yes—
421#398C2312yes—
422#398C2314yes—
423#398C2314yes—
424#398C2314yes—
425#398C2312yes—
426#398C2312yes—
427#398C2314yes—
428#398C2314yes—
429#397C2312yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2312yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#396C2314yes—
458#396C2312yes—
459#396C2312yes—
460#396C2314yes—
461#396C2314yes—
462#395C2314yes—
463#395C2312yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2312yes—
477#394C2312yes—
478#394C2314yes—
479#394C2314yes—
480#393C2314yes—
481#393C2314yes—
482#393C2314yes—
483#393C2312yes—
484#393C2314yes—
485#392C2314yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2314yes—
495#391C2314yes—
496#391C2314yes—
497#391C2314yes—
498#391C2314yes—
499#391C2312yes—
500#391C2312yes—
501#391C2311yescharacteristic
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2311yescharacteristic
507#391C2312yes—
508#390C2314yes—
509#390C2312yes—
510#390C2314yes—
511#390C2311yescharacteristic
512#390C2312yes—
513#390C2311yescharacteristic
514#390C2311yescharacteristic
515#390C2311yescharacteristic
516#390C2311yescharacteristic
517#390C2312yes—
518#390C2314yes—
519#390C2312yes—
520#390C2312yes—
521#390C2312yes—
522#390C2311yescharacteristic
523#390C2312yes—
524#390C2314yes—
525#390C2311yescharacteristic
526#390C2311yescharacteristic
527#389C2311yescharacteristic
528#389C2312yes—
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2311yescharacteristic
533#389C2312yes—
534#389C2314yes—
535#389C2312yes—
536#389C2312yes—
537#389C2314yes—
538#389C2311yescharacteristic
539#389C2312yes—
540#389C2314yes—
541#389C2312yes—
542#389C2314yes—
543#389C2312yes—
544#389C2311yescharacteristic
545#389C2314yes—
546#389C2311yescharacteristic
547#389C2312yes—
548#389C2314yes—
549#389C2314yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2311yescharacteristic
557#389C2311yescharacteristic
558#389C2311yescharacteristic
559#389C2312yes—
560#389C2312yes—
561#389C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2314yes—
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2311yescharacteristic
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2314yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2312yes—
591#388C2312yes—
592#388C2312yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2312yes—
598#388C2314yes—
599#388C2312yes—
600#388C2312yes—
601#388C2312yes—
602#388C2312yes—
603#388C2312yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2312yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2314yes—
619#388C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2312yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#386C2312yes—
656#386C2314yes—
657#386C2312yes—
658#386C2312yes—
659#386C2312yes—
660#386C2314yes—
661#386C2314yes—
662#386C2312yes—
663#386C2314yes—
664#386C2314yes—
665#385C2314yes—
666#385C2312yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2312yes—
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#384C2311yescharacteristic
682#384C2311yescharacteristic
683#384C2311yescharacteristic
684#384C2312yes—
685#384C2312yes—
686#384C2312yes—
687#384C2312yes—
688#384C2312yes—
689#384C2312yes—
690#384C2312yes—
691#383C2314yes—
692#383C2312yes—
693#383C2314yes—
694#383C2312yes—
695#382C2312yes—
696#382C2311yescharacteristic
697#382C2311yescharacteristic
698#382C2314yes—
699#382C2312yes—
700#382C2312yes—
701#382C2314yes—
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2314yes—
705#381C2312yes—
706#381C2312yes—
707#381C2312yes—
708#381C2314yes—
709#380C2314yes—
710#380C2314yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2312yes—
718#380C2314yes—
719#380C2314yes—
720#380C2311yescharacteristic
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2311yescharacteristic
733#379C2314yes—
734#379C2314yes—
735#379C2312yes—
736#379C2312yes—
737#379C2314yes—
738C4×C4⋊C4C2312yes—
739C4×C4⋊C4C2311yescharacteristic
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2311yescharacteristic
747C4×C4⋊C4C2311yescharacteristic
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2311yescharacteristic
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2311yescharacteristic
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2314yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2314yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2312yes—
784C4×C22⋊C4C2314yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806#376C2312yes—
807#376C2311yescharacteristic
808#376C2311yescharacteristic
809#376C2314yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C43C2312yes—
813C43C2314yes—
814C43C2311yescharacteristic
815C43C2311yescharacteristic
816C25C2412yes—
817C2×#41—28no—
818C2×#41—44no—
819C2×#41—44no—
820C22×Q8C2411yescharacteristic
821C22×Q8C2412yes—
822C22×Q8C2412yes—
823C22×Q8C2412yes—
824C22×Q8C2414yes—
825C22×D4—24no—
826C22×D4—42no—
827C22×D4—42no—
828C22×D4C2411yescharacteristic
829C22×D4C2411yescharacteristic
830C22×D4C2412yes—
831C22×D4C2411yescharacteristic
832C22×D4C2412yes—
833C22×D4C2414yes—
834C22×D4C2414yes—
835C23×C4—28no—
836C23×C4—44no—
837C23×C4—44no—
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2412yes—
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C4⋊Q8—24no—
853C4⋊Q8—24no—
854C4⋊Q8—24no—
855C4⋊Q8—44no—
856C4⋊Q8—44no—
857C4⋊Q8—44no—
858C4⋊Q8—44no—
859#126—216no—
860#126—48no—
861#126—44no—
862#126—48no—
863#125—28no—
864#125—44no—
865#125—48no—
866#125—48no—
867#124—28no—
868#124—28no—
869#124—42no—
870#124—44no—
871#124—48no—
872#123—216no—
873#123—48no—
874C22⋊Q8—28no—
875C22⋊Q8—28no—
876C22⋊Q8—28no—
877C22⋊Q8—48no—
878C22⋊Q8—48no—
879C22⋊Q8—44no—
880C22⋊Q8—44no—
881C22⋊Q8—44no—
882C22⋊Q8—42no—
883C22⋊Q8—44no—
884C22⋊Q8—48no—
885C22⋊Q8—44no—
886C22⋊Q8—44no—
887#121—28no—
888#121—24no—
889#121—44no—
890#121—44no—
891#120—48no—
892C4×Q8—28no—
893C4×Q8—24no—
894C4×Q8—24no—
895C4×Q8—44no—
896C4×Q8—48no—
897C4×Q8—42no—
898C4×Q8—44no—
899C4×Q8—44no—
900C4×Q8—44no—
901C4×Q8—48no—
902C4×Q8—44no—
903C4×D4—24no—
904C4×D4—28no—
905C4×D4—24no—
906C4×D4—28no—
907C4×D4—24no—
908C4×D4—24no—
909C4×D4—48no—
910C4×D4—42no—
911C4×D4—42no—
912C4×D4—42no—
913C4×D4—42no—
914C4×D4—48no—
915C4×D4—44no—
916C4×D4#4118yes—
917#117—28no—
918#117—28no—
919#117—24no—
920#117—44no—
921#117—44no—
922#117—44no—
923#117—42no—
924#117—44no—
925#117—44no—
926C2×C4⋊C4—24no—
927C2×C4⋊C4—28no—
928C2×C4⋊C4C2411yescharacteristic
929C2×C4⋊C4C2412yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2411yescharacteristic
933C2×C4⋊C4C2411yescharacteristic
934C2×C4⋊C4C2411yescharacteristic
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2411yescharacteristic
941C2×C4⋊C4C2411yescharacteristic
942C2×C4⋊C4C2411yescharacteristic
943C2×C4⋊C4C2411yescharacteristic
944C2×C4⋊C4C2411yescharacteristic
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2414yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2411yescharacteristic
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2414yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2414yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2414yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C22⋊C4—28no—
997C2×C22⋊C4—28no—
998C2×C22⋊C4—44no—
999C2×C22⋊C4C2411yescharacteristic
1000C2×C22⋊C4C2412yes—
1001C2×C22⋊C4C2412yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2412yes—
1004C2×C22⋊C4C2412yes—
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2414yes—
1008C2×C22⋊C4C2414yes—
1009C2×C22⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2414yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2411yescharacteristic
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C42—24no—
1058C2×C42—44no—
1059C2×C42—44no—
1060C2×C42C2411yescharacteristic
1061C2×C42C2411yescharacteristic
1062C2×C42C2411yescharacteristic
1063C2×C42C2414yes—
1064C2×C42C2412yes—
1065C2×C42C2414yes—
1066C2×C42C2412yes—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2411yescharacteristic
1083C2×C42C2414yes—
1084C2×C42C2411yescharacteristic
1085C2×C42C2414yes—
1086C2×C42C2412yes—
1087C2×C42C2412yes—
1088C2×C42C2414yes—
1089C2×C42C2414yes—
1090C2×C42C2412yes—
1091C2×C42C2414yes—
1092C2×C42C2414yes—
1093C2×C42C2414yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2412yes—
1097C2×C42C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2411yescharacteristic
1100#95C2412yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2412yes—
1106#95C2412yes—
1107#95C2411yescharacteristic
1108#95C2411yescharacteristic
1109#95C2414yes—
1110#95C2411yescharacteristic
1111#95C2414yes—
1112#95C2411yescharacteristic
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2412yes—
1119#95C2412yes—
1120#95C2412yes—
1121#95C2412yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2412yes—
1140#95C2414yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170C24—24no—
1171C24—24no—
1172C24—42no—
1173C24—42no—
1174C24—42no—
1175C24—42no—
1176C24—42no—
1177C24C2512yes—
1178C24C2512yes—
1179C24C2512yes—
1180C24C2511yescharacteristic
1181#41—816no—
1182C2×Q8—22no—
1183C2×Q8—24no—
1184C2×Q8—24no—
1185C2×Q8—22no—
1186C2×Q8—24no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—24no—
1190C2×Q8—24no—
1191C2×Q8—22no—
1192C2×Q8—24no—
1193C2×Q8—28no—
1194C2×Q8—42no—
1195C2×Q8—44no—
1196C2×Q8—44no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—28no—
1200C2×D4—22no—
1201C2×D4—22no—
1202C2×D4—24no—
1203C2×D4—22no—
1204C2×D4—22no—
1205C2×D4—22no—
1206C2×D4—22no—
1207C2×D4—22no—
1208C2×D4—22no—
1209C2×D4—42no—
1210C2×D4—42no—
1211C2×D4—42no—
1212C2×D4—44no—
1213C2×D4—44no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—416no—
1218C2×D4C2×#4114yes—
1219C22×C4—24no—
1220C22×C4—24no—
1221C22×C4—22no—
1222C22×C4—24no—
1223C22×C4—22no—
1224C22×C4—22no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—22no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—24no—
1237C22×C4—28no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—41no—
1243C22×C4—42no—
1244C22×C4—42no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—44no—
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—44no—
1260C22×C4—816no—
1261C22×C4C2×#4118yes—
1262C22×C4C2512yes—
1263C22×C4C2511yescharacteristic
1264C22×C4C2511yescharacteristic
1265C22×C4C2511yescharacteristic
1266C22×C4C2512yes—
1267C22×C4C2511yescharacteristic
1268C22×C4C2511yescharacteristic
1269C22×C4C2512yes—
1270C22×C4C2514yes—
1271C22×C4C2512yes—
1272C22×C4C2512yes—
1273C22×C4C2512yes—
1274C22×C4C2514yes—
1275C22×C4C2512yes—
1276C22×C4C2511yescharacteristic
1277C22×C4C2511yescharacteristic
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2514yes—
1281C22×C4C2512yes—
1282C22×C4C2514yes—
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2512yes—
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2511yescharacteristic
1289C22×C4C2511yescharacteristic
1290C22×C4C2511yescharacteristic
1291C22×C4C2511yescharacteristic
1292C22×C4C2511yescharacteristic
1293C4⋊C4—24no—
1294C4⋊C4—22no—
1295C4⋊C4—24no—
1296C4⋊C4—28no—
1297C4⋊C4—22no—
1298C4⋊C4—24no—
1299C4⋊C4—22no—
1300C4⋊C4—28no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—24no—
1307C4⋊C4—28no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—28no—
1311C4⋊C4—28no—
1312C4⋊C4—22no—
1313C4⋊C4—22no—
1314C4⋊C4—22no—
1315C4⋊C4—24no—
1316C4⋊C4—22no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—24no—
1322C4⋊C4—22no—
1323C4⋊C4—24no—
1324C4⋊C4—42no—
1325C4⋊C4—42no—
1326C4⋊C4—42no—
1327C4⋊C4—42no—
1328C4⋊C4—41no—
1329C4⋊C4—42no—
1330C4⋊C4—42no—
1331C4⋊C4—42no—
1332C4⋊C4—44no—
1333C4⋊C4—42no—
1334C4⋊C4—42no—
1335C4⋊C4—42no—
1336C4⋊C4—44no—
1337C4⋊C4—42no—
1338C4⋊C4—44no—
1339C4⋊C4—44no—
1340C4⋊C4—44no—
1341C4⋊C4—44no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—42no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—42no—
1355C4⋊C4—42no—
1356C4⋊C4—42no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4C2×#4114yes—
1360C4⋊C4H(5,𝔽2)14yes—
1361C22⋊C4—24no—
1362C22⋊C4—28no—
1363C22⋊C4—28no—
1364C22⋊C4—28no—
1365C22⋊C4—24no—
1366C22⋊C4—22no—
1367C22⋊C4—24no—
1368C22⋊C4—24no—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—28no—
1372C22⋊C4—24no—
1373C22⋊C4—28no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—22no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—42no—
1382C22⋊C4—42no—
1383C22⋊C4—42no—
1384C22⋊C4—42no—
1385C22⋊C4—42no—
1386C22⋊C4—42no—
1387C22⋊C4—41no—
1388C22⋊C4—44no—
1389C22⋊C4—44no—
1390C22⋊C4—42no—
1391C22⋊C4—42no—
1392C22⋊C4—42no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—42no—
1397C22⋊C4—42no—
1398C22⋊C4—44no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—42no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—42no—
1416C22⋊C4—42no—
1417C22⋊C4C2×#4118yes—
1418C22⋊C42−1+414yes—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—28no—
1423C42—24no—
1424C42—22no—
1425C42—24no—
1426C42—28no—
1427C42—22no—
1428C42—24no—
1429C42—22no—
1430C42—22no—
1431C42—24no—
1432C42—22no—
1433C42—24no—
1434C42—22no—
1435C42—22no—
1436C42—24no—
1437C42—22no—
1438C42—22no—
1439C42—24no—
1440C42—22no—
1441C42—22no—
1442C42—42no—
1443C42—42no—
1444C42—42no—
1445C42—42no—
1446C42—41no—
1447C42—44no—
1448C42—44no—
1449C42—42no—
1450C42—44no—
1451C42—44no—
1452C42—44no—
1453C42—44no—
1454C42—44no—
1455C42—42no—
1456C42C2×#4114yes—
1457C23—21no—
1458C23—22no—
1459C23—21no—
1460C23—22no—
1461C23—21no—
1462C23—22no—
1463C23—21no—
1464C23—21no—
1465C23—21no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23—22no—
1470C23—22no—
1471C23—22no—
1472C23—22no—
1473C23—22no—
1474C23—22no—
1475C23—22no—
1476C23—22no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—48no—
1484C23—48no—
1485C23—84no—
1486C23—84no—
1487C23—84no—
1488C23—84no—
1489C23—84no—
1490C23C22×#4114yes—
1491C23C2×2−1+412yes—
1492C23C2611yescharacteristic
1493Q8—48no—
1494Q8—48no—
1495Q8—44no—
1496Q8—48no—
1497Q8—88no—
1498D4—28no—
1499D4—48no—
1500D4—48no—
1501D4—44no—
1502D4—44no—
1503D4—88no—
1504D4—88no—
1505C2×C4—22no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—22no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—22no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—22no—
1517C2×C4—216no—
1518C2×C4—22no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—22no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—24no—
1532C2×C4—22no—
1533C2×C4—24no—
1534C2×C4—22no—
1535C2×C4—24no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—21no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—24no—
1573C2×C4—24no—
1574C2×C4—24no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—21no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—44no—
1588C2×C4—48no—
1589C2×C4—44no—
1590C2×C4—48no—
1591C2×C4—44no—
1592C2×C4—84no—
1593C2×C4—84no—
1594C2×C4—84no—
1595C2×C4—84no—
1596C2×C4—84no—
1597C2×C4—88no—
1598C2×C4—84no—
1599C2×C4—84no—
1600C2×C4C22×#4114yes—
1601C2×C4C22×#4112yes—
1602C2×C4C22×#4112yes—
1603C2×C4C22×#4112yes—
1604C2×C4C2×H(5,𝔽2)14yes—
1605C2×C4C2×H(5,𝔽2)12yes—
1606C2×C4C2×2−1+412yes—
1607C2×C4C2×2−1+412yes—
1608C2×C4#58512yes—
1609C2×C4#58512yes—
1610C2×C4#58512yes—
1611C2×C4#58512yes—
1612C22—22no—
1613C22—22no—
1614C22—24no—
1615C22—22no—
1616C22—24no—
1617C22—24no—
1618C22—42no—
1619C22—42no—
1620C22—41no—
1621C22—42no—
1622C22—42no—
1623C22—41no—
1624C22—41no—
1625C22—41no—
1626C22—42no—
1627C22—42no—
1628C22—42no—
1629C22—42no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—42no—
1636C22—42no—
1637C22—42no—
1638C22—42no—
1639C22—42no—
1640C22—816no—
1641C22C23×#4111yescharacteristic
1642C22C22×H(5,𝔽2)11yescharacteristic
1643C22C22×2−1+411yescharacteristic
1644C22C2×#58511yescharacteristic
1645C22C2×#58511yescharacteristic
1646C22C2×#58511yescharacteristic
1647C22C2×#58511yescharacteristic
1648C4—22no—
1649C4—24no—
1650C4—22no—
1651C4—22no—
1652C4—24no—
1653C4—22no—
1654C4—41no—
1655C4—42no—
1656C4—42no—
1657C4—41no—
1658C4—42no—
1659C4—44no—
1660C4—44no—
1661C4—41no—
1662C4—42no—
1663C4—41no—
1664C4—42no—
1665C4—42no—
1666C4—42no—
1667C4—41no—
1668C4—42no—
1669C4—41no—
1670C4—44no—
1671C4—42no—
1672C4—42no—
1673C4—41no—
1674C4—42no—
1675C4—41no—
1676C4—44no—
1677C4#345514yes—
1678C4#351414yes—
1679C2—44no—
1680C2—42no—
1681C2—82no—
1682C2—82no—
1683C2C2×#345511yescharacteristic
1684C2C2×#351411yescharacteristic
1685C2#6280511yescharacteristic
1686C2#6301311yescharacteristic
1687C2#6301911yescharacteristic
1688C2#6302511yescharacteristic
1689C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36100C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42750C2semidirect
2. #42642C2semidirect
3. #41464C2semidirect
4. #41456C2semidirect
5. #40072C2semidirect
6. #40063C2semidirect
7. #39505C2semidirect
8. #39200C2semidirect
9. #39156C2semidirect
10. #39024C2semidirect
11. #39014C2semidirect
12. #38943C2semidirect
13. #38117C2semidirect
14. #37856C2semidirect
15. #37709C2semidirect
16. #37671C2semidirect
17. #37627C2semidirect
18. #37500C2semidirect
19. #36555C2semidirect
20. #36490C2semidirect
21. #36406C2semidirect
22. #36161C2semidirect
23. #36134C2semidirect
25. #35726C2semidirect
26. #35710C2semidirect
27. #35283C2semidirect
28. #35209C2semidirect
29. #35163C2semidirect
30. #35014C2semidirect
31. #34974C2semidirect
32. #34813C2semidirect
33. #34316C2semidirect
34. C4×#556C2semidirect
35. #34126C2semidirect
38. C2×#541C22semidirect
39. C2×#533C22semidirect
42. #2868C22semidirect
43. #2866C22semidirect
44. #2864C22semidirect
45. #2862C22semidirect
47. #2859C22semidirect
50. #2857C22semidirect
51. #2857C22semidirect
54. #2837C22semidirect
55. #2827C22semidirect
57. #2795C22semidirect
58. #2786C22semidirect
59. #2777C22semidirect
60. #2773C22semidirect
61. #2769C22semidirect
63. #2754C22semidirect
65. #2744C22semidirect
67. #2738C22semidirect
70. #2731C22semidirect
72. #2723C22semidirect
73. #2707C22semidirect
76. #2694C22semidirect
77. #2690C22semidirect
78. #2690C22semidirect
81. #2664C22semidirect
82. #2652C22semidirect
83. #2652C22semidirect
84. #2651C22semidirect
86. #2649C22semidirect
87. #2649C22semidirect
89. #2647C22semidirect
90. #2646C22semidirect
91. #2644C22semidirect
92. #2642C22semidirect
93. #2629C22semidirect
96. #2625C22semidirect
97. #2625C22semidirect
98. #2624C22semidirect
100. #2620C22semidirect
101. #2597C22semidirect
104. #2589C22semidirect
106. #2587C22semidirect
107. #2587C22semidirect
108. #2582C22semidirect
110. #2573C22semidirect
111. #2571C22semidirect
112. #2553C22semidirect
113. #2553C22semidirect
114. #2552C22semidirect
115. #2552C22semidirect
117. #2546C22semidirect
120. #2542C22semidirect
125. #2533C22semidirect
126. #2532C22semidirect
127. #2529C22semidirect
128. #2529C22semidirect
129. #2523C22semidirect
131. #2522C22semidirect
132. #2521C22semidirect
133. #2519C22semidirect
135. #2518C22semidirect
136. #2517C22semidirect
137. #2515C22semidirect
139. #2512C22semidirect
140. #2511C22semidirect
141. #2511C22semidirect
142. #2511C22semidirect
143. #2508C22semidirect
144. #2508C22semidirect
145. #2506C22semidirect
147. #2499C22semidirect
148. #2499C22semidirect
151. #2497C22semidirect
152. #2497C22semidirect
157. #2492C22semidirect
158. #2492C22semidirect
161. #2491C22semidirect
163. #2490C22semidirect
165. #2489C22semidirect
166. #2488C22semidirect
167. #2488C22semidirect
174. #2469C22semidirect
175. #2469C22semidirect
176. #2468C22semidirect
178. #2466C22semidirect
182. #2453C22semidirect
183. #2453C22semidirect
184. #2451C22semidirect
185. #2451C22semidirect
186. #2451C22semidirect
188. #2448C22semidirect
190. #2441C22semidirect
191. #2441C22semidirect
192. #2439C22semidirect
194. #2432C22semidirect
196. #2429C22semidirect
197. #2429C22semidirect
205. #2423C22semidirect
206. #2423C22semidirect
207. #2423C22semidirect
209. #2421C22semidirect
217. #2398C22semidirect
218. #2396C22semidirect
220. #2374C22semidirect
221. #2373C22semidirect
224. #2365C22semidirect
225. #2365C22semidirect
226. #2365C22semidirect
228. #2362C22semidirect
229. #2362C22semidirect
232. #2360C22semidirect
233. #2360C22semidirect
236. #2356C22semidirect
237. #2355C22semidirect
240. #2354C22semidirect
243. Q8×C4⋊C4C22semidirect
247. #2347C22semidirect
250. #2345C22semidirect
253. #2341C22semidirect
256. #2335C22semidirect
257. #2331C22semidirect
258. #2330C22semidirect
259. #2329C22semidirect
261. #2323C22semidirect
262. #2323C22semidirect
263. #2320C22semidirect
265. #2314C22semidirect
267. C4×C4⋊Q8C22semidirect
268. C4×C4⋊Q8C22semidirect
269. C4×C4⋊Q8C22semidirect
270. C4×#126C22semidirect
271. C4×#126C22semidirect
275. C4×#124C22semidirect
276. C4×#124C22semidirect
278. C4×C22⋊Q8C22semidirect
279. C4×C22⋊Q8C22semidirect
281. #2297C22semidirect
282. #2297C22semidirect
285. #2293C22semidirect
291. #2274C22semidirect
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
#427502
#426422
#414642
#414562
#400722
#400632
#395052
#392002
#391562
#390242
#390142
#389432
#381172
#378562
#377092
#376712
#376272
#375002
#365552
#364902
#364062
#361612
#361342
#361002
#357262
#357102
#352832
#352092
#351632
#350142
#349742
#348132
#343162
C4×#5562
#341262