Finite Group Databasebeta

← #7689529

Subgroups — #7689529

Order 512.

5734 conjugacy classes of subgroups.

The subgroup lattice has 1796 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59764C212yesmaximal, complemented
2#59652C212yesmaximal, complemented
3#59568C212yesmaximal, complemented
4#59562C212yesmaximal, complemented
5#59458C211yesmaximal, characteristic, complemented
6#59124C211yesmaximal, characteristic, complemented
7#59091C214yesmaximal, complemented
8#59039C211yesmaximal, characteristic, complemented
9#45033C212yesmaximal, complemented
10#44903C212yesmaximal, complemented
11#44251C214yesmaximal, complemented
12#43681C214yesmaximal, complemented
13#39525C212yesmaximal, complemented
14#39479C211yesmaximal, characteristic, complemented
15#39030C212yesmaximal, complemented
16#38985C211yesmaximal, characteristic, complemented
17#38702C214yesmaximal, complemented
18#38250C212yesmaximal, complemented
19#36480C211yesmaximal, characteristic, complemented
20#36463C211yesmaximal, characteristic, complemented
21#36366C212yesmaximal, complemented
22#36302C211yesmaximal, characteristic, complemented
23#36273C211yesmaximal, characteristic, complemented
24#36238C212yesmaximal, complemented
25#36121C211yesmaximal, characteristic, complemented
26#36115C212yesmaximal, complemented
27#36004C212yesmaximal, complemented
28#35897C212yesmaximal, complemented
29#34914C212yesmaximal, complemented
30#34793C211yesmaximal, characteristic, complemented
31#34330C211yesmaximal, characteristic, complemented
32#34261C212yesmaximal, complemented
33#34210C211yesmaximal, characteristic, complemented
34C4×#555C211yesmaximal, characteristic, complemented
35#34155C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#555C2212yescomplemented
38C2×#554C2212yescomplemented
39C2×#550C2211yescharacteristic
40C2×#546C2212yes—
41C2×#546C2212yes—
42C2×#532C2211yescharacteristic
43C22×#127C2211yescharacteristic
44C2×#529C2214yescomplemented
45C2×#518C2212yes—
46#2863C2212yescomplemented
47#2861C2212yescomplemented
48#2858C2211yescharacteristic
49#2858C2212yescomplemented
50#2857C2211yescharacteristic
51#2856C2211yescharacteristic
52#2854C2212yescomplemented
53#2850C2214yescomplemented
54#2797C2214yescomplemented
55#2779C2214yescomplemented
56#2778C2214yescomplemented
57#2754C2214yescomplemented
58#2752C2214yescomplemented
59#2751C2214yescomplemented
60#2735C2214yes—
61#2730C2214yescomplemented
62#2730C2214yescomplemented
63#2715C2214yescomplemented
64#2714C2214yescomplemented
65#2703C2214yescomplemented
66#2702C2214yes—
67#2700C2214yescomplemented
68#2697C2214yes—
69#2692C2214yescomplemented
70#2688C2214yescomplemented
71#2686C2214yescomplemented
72#2685C2214yes—
73#2684C2214yes—
74#2673C2214yes—
75#2648C2214yescomplemented
76#2644C2212yescomplemented
77#2631C2214yescomplemented
78#2624C2212yes—
79#2610C2214yescomplemented
80#2605C2214yescomplemented
81#2598C2214yescomplemented
82#2592C2212yescomplemented
83#2591C2214yescomplemented
84#2580C2212yescomplemented
85#2576C2214yescomplemented
86#2567C2211yescharacteristic, complemented
87#2563C2211yescharacteristic, complemented
88#2562C2212yes—
89#2561C2214yes—
90#2560C2214yescomplemented
91#2559C2214yescomplemented
92#2558C2214yescomplemented
93#2557C2214yescomplemented
94#2557C2214yescomplemented
95#2557C2214yescomplemented
96#2555C2214yescomplemented
97#2552C2211yescharacteristic, complemented
98#2551C2211yescharacteristic, complemented
99#2548C2211yescharacteristic
100#2544C2212yes—
101#2542C2212yescomplemented
102#2541C2212yes—
103#2541C2211yescharacteristic
104#2540C2214yescomplemented
105#2538C2212yescomplemented
106#2537C2212yescomplemented
107#2531C2214yescomplemented
108#2530C2212yes—
109#2528C2212yescomplemented
110#2526C2214yescomplemented
111#2517C2212yescomplemented
112#2516C2214yescomplemented
113#2513C2212yescomplemented
114#2513C2212yescomplemented
115#2512C2212yescomplemented
116#2512C2212yescomplemented
117#2512C2212yescomplemented
118#2511C2211yescharacteristic, complemented
119#2509C2212yescomplemented
120#2509C2212yescomplemented
121#2506C2211yescharacteristic, complemented
122#2500C2212yescomplemented
123#2499C2211yescharacteristic, complemented
124#2497C2212yes—
125#2496C2212yescomplemented
126#2494C2211yescharacteristic
127#2492C2212yes—
128#2491C2212yescomplemented
129#2491C2212yescomplemented
130#2490C2212yescomplemented
131#2490C2212yescomplemented
132#2489C2211yescharacteristic
133#2488C2214yescomplemented
134#2488C2214yescomplemented
135#2485C2212yes—
136#2485C2211yescharacteristic
137#2477C2214yescomplemented
138#2476C2214yescomplemented
139#2472C2214yes—
140#2472C2214yes—
141#2472C2214yes—
142#2472C2214yes—
143#2471C2214yescomplemented
144#2471C2214yescomplemented
145#2471C2214yescomplemented
146#2470C2214yescomplemented
147#2467C2214yescomplemented
148#2467C2214yescomplemented
149#2465C2214yes—
150#2460C2212yes—
151#2459C2214yescomplemented
152#2457C2214yescomplemented
153#2454C2212yescomplemented
154#2452C2212yescomplemented
155#2452C2212yescomplemented
156#2452C2212yescomplemented
157#2452C2212yescomplemented
158#2449C2214yescomplemented
159#2447C2212yescomplemented
160#2445C2212yes—
161#2445C2212yes—
162#2445C2212yes—
163#2445C2212yescomplemented
164#2445C2212yescomplemented
165#2444C2214yescomplemented
166#2441C2211yescharacteristic, complemented
167#2441C2212yescomplemented
168#2439C2212yes—
169#2435C2212yes—
170#2433C2212yes—
171#2431C2212yes—
172#2431C2212yes—
173#2430C2214yescomplemented
174#2428C2212yes—
175#2428C2212yes—
176#2428C2212yes—
177#2428C2212yescomplemented
178#2428C2212yescomplemented
179#2427C2214yescomplemented
180#2427C2212yescomplemented
181#2426C2214yescomplemented
182#2426C2214yescomplemented
183#2424C2214yes—
184#2424C2214yes—
185#2422C2212yescomplemented
186#2420C2212yescomplemented
187#2420C2212yescomplemented
188#2416C2214yescomplemented
189#2415C2211yescharacteristic
190#2415C2214yescomplemented
191#2414C2212yescomplemented
192#2411C2214yes—
193#2410C2214yes—
194#2408C2212yes—
195#2408C2212yes—
196#2408C2212yes—
197#2407C2212yescomplemented
198#2401C2212yescomplemented
199#2398C2214yescomplemented
200#2395C2212yes—
201#2392C2214yescomplemented
202#2372C2212yes—
203#2372C2212yescomplemented
204#2372C2214yescomplemented
205#2369C2211yescharacteristic, complemented
206#2369C2211yescharacteristic, complemented
207#2369C2211yescharacteristic, complemented
208#2366C2212yes—
209#2366C2211yescharacteristic
210#2366C2211yescharacteristic
211#2366C2211yescharacteristic
212#2366C2211yescharacteristic
213#2366C2211yescharacteristic
214#2366C2212yes—
215#2366C2212yescomplemented
216#2366C2212yescomplemented
217#2365C2212yescomplemented
218#2364C2214yescomplemented
219#2363C2211yescharacteristic
220#2363C2212yes—
221#2363C2212yescomplemented
222#2363C2212yescomplemented
223#2363C2212yescomplemented
224#2363C2212yescomplemented
225#2363C2212yescomplemented
226#2363C2212yescomplemented
227#2363C2212yescomplemented
228#2363C2211yescharacteristic, complemented
229#2359C2214yescomplemented
230#2357C2212yescomplemented
231#2357C2212yescomplemented
232#2355C2211yescharacteristic, complemented
233#2354C2211yescharacteristic
234#2354C2211yescharacteristic, complemented
235#2354C2212yescomplemented
236#2354C2211yescharacteristic, complemented
237#2353C2214yescomplemented
238#2352C2214yescomplemented
239#2349C2212yescomplemented
240D4×C4⋊C4C2212yescomplemented
241#2347C2212yes—
242#2346C2211yescharacteristic
243#2346C2211yescharacteristic, complemented
244#2346C2212yescomplemented
245#2342C2214yes—
246#2342C2214yes—
247#2339C2212yescomplemented
248#2339C2212yescomplemented
249D4×C22⋊C4C2212yes—
250D4×C22⋊C4C2212yes—
251D4×C22⋊C4C2212yes—
252D4×C22⋊C4C2212yes—
253D4×C22⋊C4C2214yes—
254D4×C22⋊C4C2212yes—
255#2333C2214yescomplemented
256#2328C2214yes—
257#2328C2212yescomplemented
258#2319C2212yescomplemented
259#2318C2214yescomplemented
260#2314C2212yes—
261#2312C2214yes—
262#2309C2212yes—
263C4×C4⋊Q8C2212yescomplemented
264C4×C4⋊Q8C2211yescharacteristic, complemented
265C4×#127C2212yes—
266C4×#127C2211yescharacteristic
267C4×#127C2212yes—
268C4×#125C2212yescomplemented
269C4×#125C2211yescharacteristic, complemented
270C4×#124C2212yes—
271C4×#124C2212yescomplemented
272C4×C22⋊Q8C2211yescharacteristic
273C4×C22⋊Q8C2211yescharacteristic, complemented
274C4×#121C2211yescharacteristic
275C4×#121C2212yes—
276C4×#121C2212yescomplemented
277C4×#121C2212yescomplemented
278C4×#121C2211yescharacteristic, complemented
279#2298C2212yes—
280#2297C2212yescomplemented
281#2297C2214yescomplemented
282#2295C2211yescharacteristic, complemented
283#2293C2212yescomplemented
284#2293C2212yescomplemented
285#2293C2212yescomplemented
286#2293C2212yescomplemented
287#2290C2214yescomplemented
288C2×#388C2214yes—
289#2285C2211yescharacteristic
290#2275C2212yescomplemented
291C42×D4C2211yescharacteristic
292C42×D4C2212yescomplemented
293C42×D4C2211yescharacteristic, complemented
294C42×D4C2212yescomplemented
295C4×#117C2211yescharacteristic
296C4×#117C2212yescomplemented
297C4×#117C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304#555—28no—
305#555—48no—
306#554—48no—
307#550—28no—
308#546—48no—
309#546—48no—
310#532—28no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×#127—28no—
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2311yescharacteristic
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2311yescharacteristic
323#529—416no—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#125C2312yes—
327C2×#125C2311yescharacteristic
328C2×#125C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#124C2314yes—
337C2×#124C2312yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×#121C2314yes—
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#120C2314yes—
368C2×#120C2314yes—
369C2×#120C2314yes—
370#518—216no—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2314yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2314yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2314yes—
400C2×C4×D4C2314yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2314yes—
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2311yescharacteristic
407C2×#117C2312yes—
408C2×#117C2311yescharacteristic
409C2×#117C2311yescharacteristic
410C2×#117C2314yes—
411C2×#117C2314yes—
412C2×#117C2311yescharacteristic
413C2×#117C2312yes—
414C2×#117C2311yescharacteristic
415C2×#117C2314yes—
416C2×#117C2311yescharacteristic
417C22×C4⋊C4C2314yes—
418C22×C22⋊C4C2314yes—
419C22×C22⋊C4C2314yes—
420C22×C22⋊C4C2314yes—
421C22×C22⋊C4C2314yes—
422C22×C42C2311yescharacteristic
423C22×C42C2311yescharacteristic
424C22×C42C2314yes—
425C22×C42C2312yes—
426#401C2312yes—
427#400C2314yes—
428#400C2312yes—
429#400C2314yes—
430#400C2312yes—
431#400C2314yes—
432#400C2312yes—
433#400C2314yes—
434#400C2312yes—
435#399C2314yes—
436#399C2314yes—
437#399C2312yes—
438#399C2314yes—
439#398C2312yes—
440#398C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2312yes—
450#397C2312yes—
451#397C2312yes—
452#397C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#396C2314yes—
459#396C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2312yes—
463#396C2314yes—
464#396C2314yes—
465#396C2314yes—
466#395C2314yes—
467#395C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2312yes—
478#394C2312yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#393C2314yes—
490#393C2314yes—
491#393C2314yes—
492#393C2314yes—
493#393C2314yes—
494#393C2314yes—
495#392C2314yes—
496#392C2314yes—
497#392C2314yes—
498#392C2314yes—
499#392C2314yes—
500#392C2314yes—
501#392C2314yes—
502#392C2314yes—
503#392C2314yes—
504#391C2314yes—
505#391C2312yes—
506#391C2312yes—
507#391C2311yescharacteristic
508#391C2314yes—
509#391C2311yescharacteristic
510#391C2312yes—
511#391C2312yes—
512#391C2314yes—
513#391C2311yescharacteristic
514#391C2312yes—
515#391C2314yes—
516#391C2312yes—
517#391C2311yescharacteristic
518#390C2314yes—
519#390C2314yes—
520#390C2312yes—
521#390C2312yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2314yes—
526#390C2314yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2314yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2314yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2311yescharacteristic
548#390C2314yes—
549#390C2314yes—
550#390C2312yes—
551#390C2311yescharacteristic
552#390C2312yes—
553#390C2312yes—
554#390C2314yes—
555#390C2314yes—
556#390C2312yes—
557#390C2312yes—
558#390C2314yes—
559#390C2312yes—
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2311yescharacteristic
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2311yescharacteristic
566#389C2312yes—
567#389C2311yescharacteristic
568#389C2312yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2311yescharacteristic
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2312yes—
580#389C2314yes—
581#389C2311yescharacteristic
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2312yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2312yes—
597#388C2312yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2312yes—
613#388C2312yes—
614#388C2312yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2312yes—
626#388C2312yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2312yes—
632#388C2314yes—
633#387C2314yes—
634#387C2312yes—
635#387C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2312yes—
681#386C2312yes—
682#386C2312yes—
683#386C2314yes—
684#386C2314yes—
685#386C2312yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2312yes—
699#385C2312yes—
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2311yescharacteristic
703#384C2312yes—
704#384C2311yescharacteristic
705#384C2312yes—
706#383C2314yes—
707#382C2311yescharacteristic
708#382C2312yes—
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#381C2314yes—
715#381C2314yes—
716#381C2314yes—
717#381C2314yes—
718#380C2311yescharacteristic
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2314yes—
724#380C2314yes—
725#380C2311yescharacteristic
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2311yescharacteristic
730#380C2312yes—
731#380C2311yescharacteristic
732#380C2312yes—
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735#379C2314yes—
736#379C2314yes—
737#379C2314yes—
738#379C2314yes—
739#379C2314yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2311yescharacteristic
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2311yescharacteristic
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2312yes—
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2311yescharacteristic
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2312yes—
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C22⋊C4C2314yes—
775C4×C22⋊C4C2314yes—
776C4×C22⋊C4C2314yes—
777C4×C22⋊C4C2314yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2312yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2311yescharacteristic
782C4×C22⋊C4C2312yes—
783C4×C22⋊C4C2311yescharacteristic
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808#376C2312yes—
809#376C2312yes—
810#376C2312yes—
811#376C2312yes—
812#376C2312yes—
813#376C2312yes—
814C2×#95C2314yes—
815C2×#95C2314yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C43C2312yes—
819C43C2312yes—
820C25C2414yes—
821C2×#41—28no—
822C2×#41—28no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—82no—
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2414yes—
830C22×Q8C2412yes—
831C22×D4—28no—
832C22×D4—28no—
833C22×D4—28no—
834C22×D4—28no—
835C22×D4—44no—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—82no—
840C22×D4C2411yescharacteristic
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C23×C4C2414yes—
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2414yes—
869C23×C4C2414yes—
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2414yes—
873C23×C4C2414yes—
874C23×C4C2414yes—
875C23×C4C2412yes—
876C4⋊Q8—24no—
877C4⋊Q8—28no—
878C4⋊Q8—24no—
879C4⋊Q8—44no—
880#127—28no—
881#127—28no—
882#127—28no—
883#127—28no—
884#127—24no—
885#127—44no—
886#127#4118yes—
887#126—48no—
888#126—48no—
889#125—28no—
890#125—24no—
891#125—44no—
892#124—28no—
893#124—28no—
894#124—28no—
895#124—48no—
896#124—44no—
897#124—44no—
898#124—48no—
899#124—48no—
900#124—82no—
901#123—216no—
902#123—48no—
903#123—48no—
904#123—84no—
905C22⋊Q8—24no—
906C22⋊Q8—48no—
907C22⋊Q8—48no—
908C22⋊Q8—48no—
909C22⋊Q8—44no—
910C22⋊Q8—42no—
911C22⋊Q8—48no—
912C22⋊Q8—84no—
913#121—28no—
914#121—28no—
915#121—28no—
916#121—216no—
917#121—24no—
918#121—24no—
919#121—28no—
920#121—28no—
921#121—44no—
922#121—48no—
923#121—48no—
924#121—48no—
925#121—44no—
926#121—44no—
927#121—48no—
928#121—44no—
929#121—84no—
930#120—48no—
931#120—48no—
932#120—84no—
933C4×Q8—24no—
934C4×Q8—44no—
935C4×Q8—48no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—28no—
939C4×D4—24no—
940C4×D4—28no—
941C4×D4—28no—
942C4×D4—28no—
943C4×D4—28no—
944C4×D4—24no—
945C4×D4—24no—
946C4×D4—28no—
947C4×D4—216no—
948C4×D4—216no—
949C4×D4—24no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—42no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—48no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—42no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—48no—
964C4×D4—48no—
965C4×D4—84no—
966#117—28no—
967#117—24no—
968#117—28no—
969#117—24no—
970#117—28no—
971#117—48no—
972#117—48no—
973#117—42no—
974#117—42no—
975#117—42no—
976#117—44no—
977#117—84no—
978#117#4118yescomplemented
979C2×C4⋊C4—48no—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C22⋊C4—216no—
1035C2×C22⋊C4—216no—
1036C2×C22⋊C4—48no—
1037C2×C22⋊C4—48no—
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2411yescharacteristic
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2411yescharacteristic
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C42—24no—
1107C2×C42—24no—
1108C2×C42—48no—
1109C2×C42—44no—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2412yes—
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2412yes—
1124C2×C42C2411yescharacteristic
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133C2×C42C2414yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2414yes—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2414yes—
1142C2×C42C2411yescharacteristic
1143C2×C42C2414yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2411yescharacteristic
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2411yescharacteristic
1157#95C2412yes—
1158#95C2411yescharacteristic
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2411yescharacteristic
1182#95C2411yescharacteristic
1183#95C2411yescharacteristic
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2411yescharacteristic
1189#95C2412yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2414yes—
1210C24—28no—
1211C24—28no—
1212C24—44no—
1213C24—44no—
1214C24—44no—
1215C24—44no—
1216C24—44no—
1217C24C2514yes—
1218C24C2512yes—
1219C24C2511yescharacteristic
1220C24C2511yescharacteristic
1221C24C2514yes—
1222#41—816no—
1223#41—816no—
1224C2×Q8—22no—
1225C2×Q8—24no—
1226C2×Q8—24no—
1227C2×Q8—22no—
1228C2×Q8—28no—
1229C2×Q8—22no—
1230C2×Q8—42no—
1231C2×Q8—44no—
1232C2×Q8—42no—
1233C2×Q8—42no—
1234C2×Q8—42no—
1235C2×Q8—44no—
1236C2×D4—22no—
1237C2×D4—28no—
1238C2×D4—28no—
1239C2×D4—24no—
1240C2×D4—28no—
1241C2×D4—28no—
1242C2×D4—28no—
1243C2×D4—28no—
1244C2×D4—24no—
1245C2×D4—28no—
1246C2×D4—24no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—22no—
1255C2×D4—24no—
1256C2×D4—28no—
1257C2×D4—28no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—22no—
1262C2×D4—24no—
1263C2×D4—432no—
1264C2×D4—42no—
1265C2×D4—41no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—44no—
1281C2×D4—42no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—816no—
1292C2×D4—816no—
1293C2×D4C2×#4118yes—
1294C2×D4C2×#4118yes—
1295C2×D4C2×#4118yes—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—28no—
1299C22×C4—28no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—24no—
1306C22×C4—22no—
1307C22×C4—24no—
1308C22×C4—28no—
1309C22×C4—24no—
1310C22×C4—22no—
1311C22×C4—24no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—24no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—28no—
1320C22×C4—28no—
1321C22×C4—28no—
1322C22×C4—28no—
1323C22×C4—28no—
1324C22×C4—42no—
1325C22×C4—44no—
1326C22×C4—41no—
1327C22×C4—41no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—42no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—42no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—42no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4C2×#4114yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2512yes—
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2514yes—
1357C22×C4C2512yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2512yes—
1360C22×C4C2511yescharacteristic
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2514yes—
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2511yescharacteristic
1372C22×C4C2511yescharacteristic
1373C22×C4C2512yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C4⋊C4—22no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—28no—
1389C4⋊C4—22no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—28no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—24no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—42no—
1411C4⋊C4—44no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—41no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—42no—
1423C4⋊C4—44no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—44no—
1427C4⋊C4C2×#4114yes—
1428C4⋊C4C2×#4114yes—
1429C4⋊C4H(5,𝔽2)14yes—
1430C4⋊C4H(5,𝔽2)14yes—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—28no—
1434C22⋊C4—28no—
1435C22⋊C4—28no—
1436C22⋊C4—22no—
1437C22⋊C4—28no—
1438C22⋊C4—28no—
1439C22⋊C4—28no—
1440C22⋊C4—28no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—24no—
1449C22⋊C4—28no—
1450C22⋊C4—28no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—28no—
1455C22⋊C4—22no—
1456C22⋊C4—28no—
1457C22⋊C4—28no—
1458C22⋊C4—42no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—41no—
1471C22⋊C4—41no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4C2×#4118yes—
1499C42—22no—
1500C42—22no—
1501C42—22no—
1502C42—22no—
1503C42—22no—
1504C42—22no—
1505C42—24no—
1506C42—24no—
1507C42—24no—
1508C42—22no—
1509C42—24no—
1510C42—24no—
1511C42—24no—
1512C42—24no—
1513C42—24no—
1514C42—22no—
1515C42—24no—
1516C42—24no—
1517C42—22no—
1518C42—22no—
1519C42—24no—
1520C42—22no—
1521C42—24no—
1522C42—42no—
1523C42—42no—
1524C42—44no—
1525C42—44no—
1526C42—42no—
1527C42—42no—
1528C42—42no—
1529C42—44no—
1530C42—44no—
1531C42—42no—
1532C42—42no—
1533C42—42no—
1534C42—41no—
1535C42C2×#4114yes—
1536C42C2×#4118yes—
1537C23—24no—
1538C23—21no—
1539C23—21no—
1540C23—21no—
1541C23—24no—
1542C23—24no—
1543C23—21no—
1544C23—24no—
1545C23—21no—
1546C23—24no—
1547C23—24no—
1548C23—21no—
1549C23—22no—
1550C23—21no—
1551C23—24no—
1552C23—22no—
1553C23—21no—
1554C23—24no—
1555C23—22no—
1556C23—24no—
1557C23—21no—
1558C23—24no—
1559C23—21no—
1560C23—22no—
1561C23—21no—
1562C23—21no—
1563C23—24no—
1564C23—22no—
1565C23—24no—
1566C23—22no—
1567C23—24no—
1568C23—21no—
1569C23—22no—
1570C23—416no—
1571C23—88no—
1572C23—88no—
1573C23—88no—
1574C23—88no—
1575C23—164no—
1576C23—164no—
1577C23C22×#4112yes—
1578C23C22×#4118yes—
1579C23C2611yescharacteristic
1580Q8—44no—
1581Q8—84no—
1582Q8—88no—
1583Q8—84no—
1584D4—216no—
1585D4—216no—
1586D4—48no—
1587D4—44no—
1588D4—416no—
1589D4—416no—
1590D4—44no—
1591D4—48no—
1592D4—48no—
1593D4—84no—
1594D4—88no—
1595D4—84no—
1596D4—88no—
1597D4—84no—
1598D4—88no—
1599D4—88no—
1600D4—88no—
1601D4—164no—
1602D4—164no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—22no—
1618C2×C4—21no—
1619C2×C4—28no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—24no—
1647C2×C4—22no—
1648C2×C4—24no—
1649C2×C4—24no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—24no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—24no—
1680C2×C4—48no—
1681C2×C4—44no—
1682C2×C4—44no—
1683C2×C4—416no—
1684C2×C4—44no—
1685C2×C4—44no—
1686C2×C4—44no—
1687C2×C4—48no—
1688C2×C4—88no—
1689C2×C4—88no—
1690C2×C4—88no—
1691C2×C4—88no—
1692C2×C4—88no—
1693C2×C4—88no—
1694C2×C4—84no—
1695C2×C4—164no—
1696C2×C4C22×#4112yes—
1697C2×C4C22×#4114yes—
1698C2×C4C22×#4112yes—
1699C2×C4C22×#4114yes—
1700C2×C4C22×#4112yes—
1701C2×C4C22×#4112yes—
1702C2×C4C22×#4112yes—
1703C2×C4C2×H(5,𝔽2)12yes—
1704C2×C4C2×H(5,𝔽2)12yes—
1705C2×C4C2×H(5,𝔽2)12yes—
1706C2×C4C2×H(5,𝔽2)14yes—
1707C2×C4C2×H(5,𝔽2)12yes—
1708C2×C4#58512yes—
1709C2×C4#58512yes—
1710C22—28no—
1711C22—22no—
1712C22—28no—
1713C22—22no—
1714C22—22no—
1715C22—28no—
1716C22—41no—
1717C22—44no—
1718C22—44no—
1719C22—41no—
1720C22—41no—
1721C22—44no—
1722C22—44no—
1723C22—41no—
1724C22—41no—
1725C22—44no—
1726C22—42no—
1727C22—44no—
1728C22—41no—
1729C22—42no—
1730C22—42no—
1731C22—44no—
1732C22—41no—
1733C22—42no—
1734C22—41no—
1735C22—44no—
1736C22—42no—
1737C22—44no—
1738C22—41no—
1739C22—41no—
1740C22—44no—
1741C22—42no—
1742C22—42no—
1743C22—44no—
1744C22—41no—
1745C22—1616no—
1746C22C23×#4111yescharacteristic
1747C22C23×#4111yescharacteristic
1748C22C22×H(5,𝔽2)11yescharacteristic
1749C22C22×H(5,𝔽2)11yescharacteristic
1750C22C2×#58511yescharacteristic
1751C22C2×#58511yescharacteristic
1752C22H(7,𝔽2)11yescharacteristic
1753C4—22no—
1754C4—22no—
1755C4—22no—
1756C4—24no—
1757C4—24no—
1758C4—22no—
1759C4—24no—
1760C4—22no—
1761C4—44no—
1762C4—42no—
1763C4—42no—
1764C4—42no—
1765C4—42no—
1766C4—41no—
1767C4—42no—
1768C4—41no—
1769C4—44no—
1770C4—42no—
1771C4—41no—
1772C4—42no—
1773C4—41no—
1774C4—42no—
1775C4—42no—
1776C4—42no—
1777C4—41no—
1778C4—42no—
1779C4—41no—
1780C4—42no—
1781C4#347514yes—
1782C4#351414yes—
1783C2—48no—
1784C2—42no—
1785C2—81no—
1786C2—82no—
1787C2—84no—
1788C2C2×#347511yescharacteristic
1789C2C2×#351411yescharacteristic
1790C2#6280011yescharacteristic
1791C2#6296611yescharacteristic
1792C2#6298311yescharacteristic
1793C2#6298611yescharacteristic
1794C2#6301411yescharacteristic
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. #59764C2semidirect
2. #59652C2semidirect
3. #59568C2semidirect
4. #59562C2semidirect
5. #59458C2semidirect
6. #59124C2semidirect
7. #59091C2semidirect
8. #59039C2semidirect
9. #45033C2semidirect
10. #44903C2semidirect
11. #44251C2semidirect
12. #43681C2semidirect
13. #39525C2semidirect
14. #39479C2semidirect
15. #39030C2semidirect
16. #38985C2semidirect
17. #38702C2semidirect
18. #38250C2semidirect
19. #36480C2semidirect
20. #36463C2semidirect
21. #36366C2semidirect
22. #36302C2semidirect
23. #36273C2semidirect
24. #36238C2semidirect
25. #36121C2semidirect
26. #36115C2semidirect
27. #36004C2semidirect
28. #35897C2semidirect
29. #34914C2semidirect
30. #34793C2semidirect
31. #34330C2semidirect
32. #34261C2semidirect
33. #34210C2semidirect
34. C4×#555C2semidirect
35. #34155C2semidirect
37. C2×#555C22semidirect
38. C2×#554C22semidirect
44. C2×#529C22semidirect
46. #2863C22semidirect
47. #2861C22semidirect
49. #2858C22semidirect
52. #2854C22semidirect
53. #2850C22semidirect
54. #2797C22semidirect
55. #2779C22semidirect
56. #2778C22semidirect
57. #2754C22semidirect
58. #2752C22semidirect
59. #2751C22semidirect
61. #2730C22semidirect
62. #2730C22semidirect
63. #2715C22semidirect
64. #2714C22semidirect
65. #2703C22semidirect
67. #2700C22semidirect
69. #2692C22semidirect
70. #2688C22semidirect
71. #2686C22semidirect
75. #2648C22semidirect
76. #2644C22semidirect
77. #2631C22semidirect
79. #2610C22semidirect
80. #2605C22semidirect
81. #2598C22semidirect
82. #2592C22semidirect
83. #2591C22semidirect
84. #2580C22semidirect
85. #2576C22semidirect
86. #2567C22semidirect
87. #2563C22semidirect
90. #2560C22semidirect
91. #2559C22semidirect
92. #2558C22semidirect
93. #2557C22semidirect
94. #2557C22semidirect
95. #2557C22semidirect
96. #2555C22semidirect
97. #2552C22semidirect
98. #2551C22semidirect
101. #2542C22semidirect
104. #2540C22semidirect
105. #2538C22semidirect
106. #2537C22semidirect
107. #2531C22semidirect
109. #2528C22semidirect
110. #2526C22semidirect
111. #2517C22semidirect
112. #2516C22semidirect
113. #2513C22semidirect
114. #2513C22semidirect
115. #2512C22semidirect
116. #2512C22semidirect
117. #2512C22semidirect
118. #2511C22semidirect
119. #2509C22semidirect
120. #2509C22semidirect
121. #2506C22semidirect
122. #2500C22semidirect
123. #2499C22semidirect
125. #2496C22semidirect
128. #2491C22semidirect
129. #2491C22semidirect
130. #2490C22semidirect
131. #2490C22semidirect
133. #2488C22semidirect
134. #2488C22semidirect
137. #2477C22semidirect
138. #2476C22semidirect
143. #2471C22semidirect
144. #2471C22semidirect
145. #2471C22semidirect
146. #2470C22semidirect
147. #2467C22semidirect
148. #2467C22semidirect
151. #2459C22semidirect
152. #2457C22semidirect
153. #2454C22semidirect
154. #2452C22semidirect
155. #2452C22semidirect
156. #2452C22semidirect
157. #2452C22semidirect
158. #2449C22semidirect
159. #2447C22semidirect
163. #2445C22semidirect
164. #2445C22semidirect
165. #2444C22semidirect
166. #2441C22semidirect
167. #2441C22semidirect
173. #2430C22semidirect
177. #2428C22semidirect
178. #2428C22semidirect
179. #2427C22semidirect
180. #2427C22semidirect
181. #2426C22semidirect
182. #2426C22semidirect
185. #2422C22semidirect
186. #2420C22semidirect
187. #2420C22semidirect
188. #2416C22semidirect
190. #2415C22semidirect
191. #2414C22semidirect
197. #2407C22semidirect
198. #2401C22semidirect
199. #2398C22semidirect
201. #2392C22semidirect
203. #2372C22semidirect
204. #2372C22semidirect
205. #2369C22semidirect
206. #2369C22semidirect
207. #2369C22semidirect
215. #2366C22semidirect
216. #2366C22semidirect
217. #2365C22semidirect
218. #2364C22semidirect
221. #2363C22semidirect
222. #2363C22semidirect
223. #2363C22semidirect
224. #2363C22semidirect
225. #2363C22semidirect
226. #2363C22semidirect
227. #2363C22semidirect
228. #2363C22semidirect
229. #2359C22semidirect
230. #2357C22semidirect
231. #2357C22semidirect
232. #2355C22semidirect
234. #2354C22semidirect
235. #2354C22semidirect
236. #2354C22semidirect
237. #2353C22semidirect
238. #2352C22semidirect
239. #2349C22semidirect
240. D4×C4⋊C4C22semidirect
243. #2346C22semidirect
244. #2346C22semidirect
247. #2339C22semidirect
248. #2339C22semidirect
255. #2333C22semidirect
257. #2328C22semidirect
258. #2319C22semidirect
259. #2318C22semidirect
263. C4×C4⋊Q8C22semidirect
264. C4×C4⋊Q8C22semidirect
268. C4×#125C22semidirect
269. C4×#125C22semidirect
271. C4×#124C22semidirect
273. C4×C22⋊Q8C22semidirect
276. C4×#121C22semidirect
277. C4×#121C22semidirect
278. C4×#121C22semidirect
280. #2297C22semidirect
281. #2297C22semidirect
282. #2295C22semidirect
283. #2293C22semidirect
284. #2293C22semidirect
285. #2293C22semidirect
286. #2293C22semidirect
287. #2290C22semidirect
290. #2275C22semidirect
292. C42×D4C22semidirect
293. C42×D4C22semidirect
294. C42×D4C22semidirect
296. C4×#117C22semidirect
297. C4×#117C22semidirect
298. C4×#117C22semidirect
978. #117#41semidirect

Maximal subgroups

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

subgroupindex
#597642
#596522
#595682
#595622
#594582
#591242
#590912
#590392
#450332
#449032
#442512
#436812
#395252
#394792
#390302
#389852
#387022
#382502
#364802
#364632
#363662
#363022
#362732
#362382
#361212
#361152
#360042
#358972
#349142
#347932
#343302
#342612
#342102
C4×#5552
#341552