Finite Group Databasebeta

← #7979692

Subgroups — #7979692

Order 512.

5261 conjugacy classes of subgroups.

The subgroup lattice has 1792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59871C211yesmaximal, characteristic, complemented
2#59396C212yesmaximal, complemented
3#59101C212yesmaximal, complemented
4#59065C211yesmaximal, characteristic, complemented
5#59039C211yesmaximal, characteristic, complemented
6#48565C214yesmaximal, complemented
7#48250C214yesmaximal, complemented
8#45689C212yesmaximal, complemented
9#45649C212yesmaximal, complemented
10#45224C212yesmaximal, complemented
11#44882C212yesmaximal, complemented
12#44152C214yesmaximal, complemented
13#42603C212yesmaximal, complemented
14#42460C212yesmaximal, complemented
15#42140C214yesmaximal, complemented
16#40054C212yesmaximal, complemented
17#39985C212yesmaximal, complemented
18#39937C212yesmaximal, complemented
19#39817C212yesmaximal, complemented
20#39387C211yesmaximal, characteristic, complemented
21#39215C212yesmaximal, complemented
22#39136C211yesmaximal, characteristic, complemented
23#36552C211yesmaximal, characteristic, complemented
24#36455C211yesmaximal, characteristic, complemented
25#36419C211yesmaximal, characteristic, complemented
26#36410C212yesmaximal, complemented
27#36150C211yesmaximal, characteristic, complemented
28#36117C211yesmaximal, characteristic, complemented
29#35238C211yesmaximal, characteristic, complemented
30#35207C211yesmaximal, characteristic, complemented
31#35189C212yesmaximal, complemented
32#34947C211yesmaximal, characteristic, complemented
33#34724C211yesmaximal, characteristic, complemented
34#34419C212yesmaximal, complemented
35C4×#547C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic
37C2×#550C2212yes—
38C2×#550C2211yescharacteristic
39C2×#547C2211yescharacteristic
40C2×#542C2212yes—
41C2×#533C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#529C2212yes—
44C2×#529C2211yescharacteristic
45C2×C4×#41C2212yes—
46C2×C4×#41C2211yescharacteristic
47#2858C2211yescharacteristic
48#2857C2211yescharacteristic
49#2856C2211yescharacteristic
50#2856C2212yes—
51#2856C2212yes—
52#2854C2212yes—
53#2854C2212yes—
54#2851C2212yes—
55#2851C2212yes—
56#2850C2212yes—
57#2850C2212yes—
58#2837C2214yes—
59#2829C2214yes—
60#2806C2214yes—
61#2800C2214yes—
62#2797C2214yes—
63#2787C2214yes—
64#2786C2214yes—
65#2780C2214yes—
66#2780C2214yes—
67#2780C2214yes—
68#2779C2214yes—
69#2761C2214yes—
70#2748C2214yes—
71#2746C2214yes—
72#2732C2214yes—
73#2730C2214yes—
74#2730C2214yes—
75#2727C2214yes—
76#2723C2214yes—
77#2711C2214yes—
78#2711C2214yes—
79#2709C2214yes—
80#2708C2214yes—
81#2707C2214yes—
82#2706C2214yes—
83#2706C2214yes—
84#2705C2214yes—
85#2705C2214yes—
86#2705C2214yes—
87#2701C2214yes—
88#2701C2214yes—
89#2701C2214yes—
90#2686C2214yes—
91#2682C2214yes—
92#2671C2214yes—
93#2667C2214yes—
94#2662C2214yes—
95#2653C2214yes—
96#2651C2214yes—
97#2651C2214yes—
98#2630C2214yes—
99#2630C2214yes—
100#2620C2212yes—
101#2620C2212yes—
102#2608C2214yes—
103#2601C2214yes—
104#2601C2214yes—
105#2594C2214yes—
106#2590C2214yes—
107#2584C2214yes—
108#2582C2212yes—
109#2582C2212yes—
110#2576C2214yes—
111#2569C2214yes—
112#2568C2211yescharacteristic
113#2567C2211yescharacteristic
114#2567C2211yescharacteristic
115#2566C2212yes—
116#2566C2212yes—
117#2565C2212yes—
118#2564C2214yes—
119#2563C2211yescharacteristic
120#2563C2211yescharacteristic
121#2559C2214yes—
122#2559C2214yes—
123#2559C2214yes—
124#2558C2214yes—
125#2554C2214yes—
126#2552C2212yes—
127#2552C2211yescharacteristic
128#2552C2212yes—
129#2548C2211yescharacteristic
130#2548C2212yes—
131#2544C2212yes—
132#2544C2212yes—
133#2544C2212yes—
134#2542C2211yescharacteristic
135#2541C2212yes—
136#2541C2211yescharacteristic
137#2540C2212yes—
138#2540C2212yes—
139#2538C2212yes—
140#2538C2212yes—
141#2538C2212yes—
142#2537C2212yes—
143#2537C2211yescharacteristic
144#2537C2212yes—
145#2512C2212yes—
146#2512C2212yes—
147#2511C2212yes—
148#2508C2212yes—
149#2507C2212yes—
150#2507C2212yes—
151#2505C2214yes—
152#2502C2212yes—
153#2501C2212yes—
154#2500C2212yes—
155#2494C2212yes—
156#2494C2212yes—
157#2490C2212yes—
158#2490C2212yes—
159#2489C2212yes—
160#2485C2214yes—
161#2479C2214yes—
162#2478C2212yes—
163#2476C2214yes—
164#2476C2214yes—
165#2476C2214yes—
166#2470C2212yes—
167#2469C2214yes—
168#2466C2214yes—
169#2466C2212yes—
170#2464C2214yes—
171#2464C2214yes—
172#2458C2214yes—
173#2455C2212yes—
174#2454C2212yes—
175#2454C2212yes—
176#2453C2211yescharacteristic
177#2453C2212yes—
178#2448C2212yes—
179#2448C2212yes—
180#2448C2212yes—
181#2447C2211yescharacteristic
182#2445C2214yes—
183#2445C2212yes—
184#2445C2214yes—
185#2445C2212yes—
186#2444C2214yes—
187#2441C2211yescharacteristic
188#2441C2212yes—
189#2441C2212yes—
190#2432C2212yes—
191#2432C2211yescharacteristic
192#2431C2214yes—
193#2430C2214yes—
194#2430C2214yes—
195#2429C2211yescharacteristic
196#2428C2212yes—
197#2428C2212yes—
198#2428C2214yes—
199#2427C2212yes—
200#2427C2212yes—
201#2426C2212yes—
202#2426C2212yes—
203#2426C2212yes—
204#2426C2212yes—
205#2426C2212yes—
206#2425C2214yes—
207#2422C2212yes—
208#2422C2211yescharacteristic
209#2422C2212yes—
210#2421C2212yes—
211#2420C2212yes—
212#2417C2212yes—
213#2417C2212yes—
214#2416C2212yes—
215#2416C2212yes—
216#2415C2211yescharacteristic
217#2415C2212yes—
218#2414C2212yes—
219#2414C2212yes—
220#2414C2212yes—
221#2414C2214yes—
222#2407C2212yes—
223#2407C2212yes—
224#2407C2211yescharacteristic
225#2407C2214yes—
226#2396C2214yes—
227#2395C2212yes—
228#2392C2212yes—
229#2379C2214yes—
230#2376C2214yes—
231#2369C2212yes—
232#2367C2212yes—
233#2367C2212yes—
234#2367C2214yes—
235#2367C2212yes—
236#2366C2211yescharacteristic
237#2365C2212yes—
238#2365C2211yescharacteristic
239#2365C2211yescharacteristic
240#2363C2212yes—
241#2363C2214yes—
242#2362C2212yes—
243#2361C2212yes—
244#2361C2211yescharacteristic
245#2361C2211yescharacteristic
246#2360C2212yes—
247#2359C2212yes—
248#2359C2212yes—
249#2359C2214yes—
250#2355C2212yes—
251#2354C2212yes—
252#2354C2212yes—
253#2354C2211yescharacteristic
254#2351C2212yes—
255Q8×C4⋊C4C2211yescharacteristic
256Q8×C4⋊C4C2211yescharacteristic
257#2349C2212yes—
258D4×C4⋊C4C2211yescharacteristic
259#2344C2211yescharacteristic
260#2344C2211yescharacteristic
261#2341C2212yes—
262#2341C2212yes—
263#2339C2212yes—
264#2339C2212yes—
265#2334C2214yes—
266#2334C2214yes—
267#2329C2214yes—
268#2324C2212yes—
269#2324C2212yes—
270#2324C2214yes—
271#2324C2212yes—
272#2323C2214yes—
273#2323C2212yes—
274#2314C2212yes—
275C4×C4⋊Q8C2211yescharacteristic
276C4×C4⋊Q8C2211yescharacteristic
277C4×C4⋊Q8C2211yescharacteristic
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2212yes—
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×#123C2212yes—
285C4×#123C2212yes—
286C4×#123C2212yes—
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic
290#2297C2212yes—
291#2297C2212yes—
292#2296C2212yes—
293#2293C2211yescharacteristic
294#2285C2212yes—
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303#556—44no—
304#550—44no—
305#550—48no—
306#547—28no—
307#542—216no—
308#533—44no—
309#532—44no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#127C2314yes—
318#529—44no—
319#529—48no—
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#126C2312yes—
323C2×#126C2314yes—
324C2×#125C2312yes—
325C2×#125C2311yescharacteristic
326C2×#125C2312yes—
327C2×#125C2314yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2311yescharacteristic
335C2×#123C2314yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2314yes—
339C2×#123C2312yes—
340C2×#123C2312yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2311yescharacteristic
366C2×#121C2312yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C4×#41—48no—
376C4×#41—44no—
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2312yes—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2314yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2314yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×#117C2312yes—
413C2×#117C2312yes—
414C2×#117C2314yes—
415C2×#117C2312yes—
416C2×#117C2312yes—
417C2×#117C2312yes—
418C2×#117C2312yes—
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2311yescharacteristic
422C22×C4⋊C4C2311yescharacteristic
423C22×C4⋊C4C2311yescharacteristic
424C22×C4⋊C4C2311yescharacteristic
425C22×C4⋊C4C2311yescharacteristic
426C22×C42C2312yes—
427C22×C42C2311yescharacteristic
428C22×C42C2311yescharacteristic
429C22×C42C2312yes—
430C22×C42C2312yes—
431C22×C42C2312yes—
432#401C2314yes—
433#400C2314yes—
434#400C2312yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2312yes—
443#399C2314yes—
444#399C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2312yes—
456#398C2312yes—
457#398C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2312yes—
464#397C2314yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2312yes—
485#396C2312yes—
486#395C2314yes—
487#395C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2312yes—
505#394C2312yes—
506#394C2312yes—
507#394C2312yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#393C2314yes—
518#393C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2312yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#391C2311yescharacteristic
527#391C2311yescharacteristic
528#391C2312yes—
529#391C2312yes—
530#391C2312yes—
531#391C2312yes—
532#391C2312yes—
533#391C2312yes—
534#391C2312yes—
535#391C2314yes—
536#391C2312yes—
537#391C2314yes—
538#391C2312yes—
539#391C2311yescharacteristic
540#391C2312yes—
541#391C2311yescharacteristic
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2314yes—
548#390C2314yes—
549#390C2314yes—
550#390C2314yes—
551#390C2312yes—
552#390C2312yes—
553#390C2314yes—
554#390C2314yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2314yes—
559#390C2312yes—
560#390C2314yes—
561#390C2314yes—
562#390C2311yescharacteristic
563#390C2312yes—
564#390C2311yescharacteristic
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2311yescharacteristic
569#390C2314yes—
570#390C2314yes—
571#390C2314yes—
572#390C2314yes—
573#390C2312yes—
574#390C2311yescharacteristic
575#390C2314yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2314yes—
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2314yes—
591#389C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2312yes—
596#389C2312yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2312yes—
602#389C2314yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2314yes—
607#389C2314yes—
608#389C2311yescharacteristic
609#389C2312yes—
610#389C2312yes—
611#389C2311yescharacteristic
612#389C2312yes—
613#389C2311yescharacteristic
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2312yes—
645#388C2312yes—
646#388C2312yes—
647#388C2314yes—
648#388C2314yes—
649#388C2312yes—
650#388C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2312yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2314yes—
675#387C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2312yes—
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2312yes—
715#385C2312yes—
716#385C2312yes—
717#385C2312yes—
718#385C2312yes—
719#385C2312yes—
720#385C2312yes—
721#385C2312yes—
722#385C2312yes—
723#385C2312yes—
724#385C2312yes—
725#385C2314yes—
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2311yescharacteristic
729#384C2312yes—
730#384C2312yes—
731#384C2312yes—
732#384C2312yes—
733#384C2312yes—
734#384C2312yes—
735#382C2312yes—
736#382C2312yes—
737#382C2312yes—
738#382C2314yes—
739#382C2314yes—
740#381C2312yes—
741#381C2312yes—
742#381C2314yes—
743#381C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2312yes—
754#380C2314yes—
755#380C2314yes—
756#380C2312yes—
757#380C2311yescharacteristic
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2311yescharacteristic
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2314yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2314yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C2×#95C2312yes—
818C2×#95C2314yes—
819C2×#95C2312yes—
820C43C2311yescharacteristic
821C2×#41—28no—
822C2×#41—24no—
823C2×#41—28no—
824C2×#41—24no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—42no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—82no—
833C22×Q8C2412yes—
834C22×Q8C2411yescharacteristic
835C22×Q8C2411yescharacteristic
836C22×Q8C2412yes—
837C22×Q8C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2411yescharacteristic
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2414yes—
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2414yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2414yes—
874C4⋊Q8—24no—
875C4⋊Q8—24no—
876C4⋊Q8—24no—
877C4⋊Q8#4118yescomplemented
878#127—24no—
879#127—44no—
880#127—44no—
881#127—48no—
882#126—216no—
883#126—48no—
884#126—44no—
885#126—48no—
886#125—44no—
887#125—42no—
888#125—44no—
889#125—84no—
890#124—216no—
891#124—28no—
892#124—44no—
893#124—44no—
894#124—42no—
895#124—44no—
896#124—44no—
897#123—216no—
898#123—28no—
899#123—28no—
900#123—44no—
901#123—44no—
902#123—48no—
903#123—84no—
904#123—84no—
905#123—84no—
906C22⋊Q8—216no—
907C22⋊Q8—28no—
908C22⋊Q8—24no—
909C22⋊Q8—24no—
910C22⋊Q8—28no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913C22⋊Q8—42no—
914C22⋊Q8—44no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917#121—28no—
918#121—28no—
919#121—24no—
920#121—24no—
921#121—48no—
922#121—48no—
923#121—48no—
924#121—48no—
925#121—44no—
926#121—44no—
927#121—44no—
928#121—42no—
929#121—44no—
930#121—44no—
931#121—44no—
932#121—44no—
933#121—48no—
934#121—82no—
935#121—84no—
936#121—84no—
937C4×Q8—28no—
938C4×Q8—24no—
939C4×Q8—24no—
940C4×Q8—44no—
941C4×Q8—44no—
942C4×Q8—42no—
943C4×Q8—44no—
944C4×Q8—44no—
945C4×Q8—44no—
946C4×Q8—44no—
947C4×Q8—44no—
948C4×Q8—82no—
949C4×D4—24no—
950C4×D4—28no—
951C4×D4—28no—
952C4×D4—24no—
953C4×D4—24no—
954C4×D4—24no—
955C4×D4—24no—
956C4×D4—44no—
957C4×D4—42no—
958C4×D4—42no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—48no—
968C4×D4—42no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—48no—
972#117—28no—
973#117—44no—
974#117—44no—
975#117—44no—
976#117—44no—
977#117—48no—
978#117—44no—
979#117—42no—
980#117—44no—
981#117—44no—
982C2×C4⋊C4—24no—
983C2×C4⋊C4—24no—
984C2×C4⋊C4—42no—
985C2×C4⋊C4—42no—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2412yes—
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2411yescharacteristic
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C42—28no—
1118C2×C42—24no—
1119C2×C42—24no—
1120C2×C42—44no—
1121C2×C42—44no—
1122C2×C42—44no—
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2411yescharacteristic
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2411yescharacteristic
1132C2×C42C2412yes—
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2414yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2412yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2414yes—
1145C2×C42C2414yes—
1146C2×C42C2414yes—
1147C2×C42C2414yes—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2414yes—
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2411yescharacteristic
1168#95C2412yes—
1169#95C2414yes—
1170#95C2411yescharacteristic
1171#95C2411yescharacteristic
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2411yescharacteristic
1176#95C2411yescharacteristic
1177#95C2412yes—
1178#95C2412yes—
1179#95C2411yescharacteristic
1180#95C2412yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214C24C2512yes—
1215C24C2514yes—
1216C24C2512yes—
1217C24C2511yescharacteristic
1218C24C2511yescharacteristic
1219#41—416no—
1220#41—432no—
1221#41—816no—
1222#41—816no—
1223C2×Q8—24no—
1224C2×Q8—22no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8—24no—
1229C2×Q8—24no—
1230C2×Q8—22no—
1231C2×Q8—24no—
1232C2×Q8—42no—
1233C2×Q8—42no—
1234C2×Q8—42no—
1235C2×Q8—42no—
1236C2×Q8C2×#4118yes—
1237C2×Q82−1+414yes—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—28no—
1244C2×D4—24no—
1245C2×D4—28no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—28no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—22no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—22no—
1261C2×D4—24no—
1262C2×D4—28no—
1263C2×D4—22no—
1264C2×D4—24no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—42no—
1278C2×D4—44no—
1279C2×D4—42no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—22no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—22no—
1305C22×C4—22no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—22no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—24no—
1316C22×C4—28no—
1317C22×C4—22no—
1318C22×C4—28no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4—41no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—41no—
1335C22×C4—42no—
1336C22×C4—44no—
1337C22×C4—41no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4H(5,𝔽2)14yes—
1346C22×C4C2511yescharacteristic
1347C22×C4C2511yescharacteristic
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2511yescharacteristic
1353C22×C4C2514yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2514yes—
1360C22×C4C2512yes—
1361C22×C4C2514yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2511yescharacteristic
1369C22×C4C2512yes—
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C22×C4C2511yescharacteristic
1373C22×C4C2512yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C4⋊C4—22no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—28no—
1383C4⋊C4—28no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—22no—
1390C4⋊C4—24no—
1391C4⋊C4—22no—
1392C4⋊C4—24no—
1393C4⋊C4—22no—
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—22no—
1400C4⋊C4—24no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—24no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—44no—
1416C4⋊C4—42no—
1417C4⋊C4—41no—
1418C4⋊C4—44no—
1419C4⋊C4—42no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—42no—
1426C4⋊C4—44no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—44no—
1436C4⋊C4—42no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4C2×#4114yes—
1442C4⋊C4C2×#4114yes—
1443C4⋊C4C2×#4118yes—
1444C22⋊C4—22no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—22no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—24no—
1454C22⋊C4—28no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—28no—
1458C22⋊C4—28no—
1459C22⋊C4—28no—
1460C22⋊C4—28no—
1461C22⋊C4—22no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—28no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—42no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—41no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C42—24no—
1508C42—28no—
1509C42—22no—
1510C42—24no—
1511C42—22no—
1512C42—24no—
1513C42—22no—
1514C42—24no—
1515C42—24no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—24no—
1521C42—24no—
1522C42—24no—
1523C42—22no—
1524C42—22no—
1525C42—42no—
1526C42—42no—
1527C42—42no—
1528C42—42no—
1529C42—42no—
1530C42—42no—
1531C42—44no—
1532C42—44no—
1533C42—44no—
1534C42—41no—
1535C42—44no—
1536C42—41no—
1537C42—44no—
1538C42C2×#4114yes—
1539C42H(5,𝔽2)14yes—
1540C23—21no—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—21no—
1550C23—21no—
1551C23—21no—
1552C23—24no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—24no—
1558C23—22no—
1559C23—24no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—24no—
1564C23—24no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—24no—
1570C23—22no—
1571C23—24no—
1572C23—22no—
1573C23C2×H(5,𝔽2)12yes—
1574C23#58512yes—
1575C23C2611yescharacteristic
1576Q8—28no—
1577Q8—48no—
1578Q8—48no—
1579Q8—48no—
1580Q8—44no—
1581D4—28no—
1582D4—48no—
1583D4—48no—
1584D4—48no—
1585D4—44no—
1586D4—48no—
1587D4—44no—
1588D4—48no—
1589D4—88no—
1590D4—88no—
1591D4—84no—
1592D4—84no—
1593D4—88no—
1594D4—88no—
1595D4—164no—
1596D4—164no—
1597D4—164no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—28no—
1613C2×C4—22no—
1614C2×C4—24no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—24no—
1639C2×C4—24no—
1640C2×C4—24no—
1641C2×C4—22no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—24no—
1656C2×C4—22no—
1657C2×C4—24no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—24no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—24no—
1667C2×C4—24no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—48no—
1677C2×C4—48no—
1678C2×C4—48no—
1679C2×C4—44no—
1680C2×C4—48no—
1681C2×C4—44no—
1682C2×C4—44no—
1683C2×C4—48no—
1684C2×C4—44no—
1685C2×C4—48no—
1686C2×C4—88no—
1687C2×C4—82no—
1688C2×C4—88no—
1689C2×C4—84no—
1690C2×C4—84no—
1691C2×C4—84no—
1692C2×C4—84no—
1693C2×C4—88no—
1694C2×C4C22×#4114yes—
1695C2×C4C22×#4112yes—
1696C2×C4C22×#4112yes—
1697C2×C4C22×#4114yes—
1698C2×C4C22×#4112yes—
1699C2×C4C2×H(5,𝔽2)12yes—
1700C2×C4C2×H(5,𝔽2)12yes—
1701C2×C4C2×H(5,𝔽2)12yes—
1702C2×C4C2×H(5,𝔽2)12yes—
1703C2×C4C2×H(5,𝔽2)12yes—
1704C2×C4C2×2−1+414yes—
1705C2×C4C2×2−1+412yes—
1706C2×C4#58512yes—
1707C22—22no—
1708C22—22no—
1709C22—22no—
1710C22—22no—
1711C22—22no—
1712C22—22no—
1713C22—41no—
1714C22—41no—
1715C22—41no—
1716C22—41no—
1717C22—41no—
1718C22—41no—
1719C22—41no—
1720C22—41no—
1721C22—42no—
1722C22—42no—
1723C22—44no—
1724C22—42no—
1725C22—44no—
1726C22—42no—
1727C22—42no—
1728C22—44no—
1729C22—42no—
1730C22—44no—
1731C22—42no—
1732C22—42no—
1733C22—42no—
1734C22—44no—
1735C22—42no—
1736C22—44no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22—44no—
1741C22—42no—
1742C22C23×#4111yescharacteristic
1743C22C22×H(5,𝔽2)11yescharacteristic
1744C22C22×H(5,𝔽2)11yescharacteristic
1745C22C22×2−1+411yescharacteristic
1746C22C2×#58511yescharacteristic
1747C22C2×#58511yescharacteristic
1748C22H(7,𝔽2)11yescharacteristic
1749C4—22no—
1750C4—24no—
1751C4—22no—
1752C4—22no—
1753C4—24no—
1754C4—24no—
1755C4—22no—
1756C4—41no—
1757C4—42no—
1758C4—42no—
1759C4—42no—
1760C4—42no—
1761C4—42no—
1762C4—41no—
1763C4—41no—
1764C4—41no—
1765C4—42no—
1766C4—44no—
1767C4—41no—
1768C4—41no—
1769C4—44no—
1770C4—42no—
1771C4—42no—
1772C4—42no—
1773C4—41no—
1774C4—42no—
1775C4—42no—
1776C4—44no—
1777C4#351714yes—
1778C4#353614yes—
1779C2—42no—
1780C2—42no—
1781C2—82no—
1782C2—82no—
1783C2—84no—
1784C2C2×#353611yescharacteristic
1785C2#6277311yescharacteristic
1786C2C2×#351711yescharacteristic
1787C2#6292411yescharacteristic
1788C2#6295511yescharacteristic
1789C2#6299911yescharacteristic
1790C2#6303311yescharacteristic
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. #59871C2semidirect
2. #59396C2semidirect
3. #59101C2semidirect
4. #59065C2semidirect
5. #59039C2semidirect
6. #48565C2semidirect
7. #48250C2semidirect
8. #45689C2semidirect
9. #45649C2semidirect
10. #45224C2semidirect
11. #44882C2semidirect
12. #44152C2semidirect
13. #42603C2semidirect
14. #42460C2semidirect
15. #42140C2semidirect
16. #40054C2semidirect
17. #39985C2semidirect
18. #39937C2semidirect
19. #39817C2semidirect
20. #39387C2semidirect
21. #39215C2semidirect
22. #39136C2semidirect
23. #36552C2semidirect
24. #36455C2semidirect
25. #36419C2semidirect
26. #36410C2semidirect
27. #36150C2semidirect
28. #36117C2semidirect
29. #35238C2semidirect
30. #35207C2semidirect
31. #35189C2semidirect
32. #34947C2semidirect
33. #34724C2semidirect
34. #34419C2semidirect
35. C4×#547C2semidirect
877. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
#598712
#593962
#591012
#590652
#590392
#485652
#482502
#456892
#456492
#452242
#448822
#441522
#426032
#424602
#421402
#400542
#399852
#399372
#398172
#393872
#392152
#391362
#365522
#364552
#364192
#364102
#361502
#361172
#352382
#352072
#351892
#349472
#347242
#344192
C4×#5472