Finite Group Databasebeta

← #7647316

Subgroups — #7647316

Order 512.

5333 conjugacy classes of subgroups.

The subgroup lattice has 1781 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42907C212yesmaximal, complemented
2#42895C212yesmaximal, complemented
3#42624C212yesmaximal, complemented
4#42578C212yesmaximal, complemented
5#41322C214yesmaximal, complemented
6#41240C214yesmaximal, complemented
7#39821C212yesmaximal, complemented
8#39745C211yesmaximal, characteristic, complemented
9#39735C211yesmaximal, characteristic, complemented
10#39386C211yesmaximal, characteristic, complemented
11#39351C211yesmaximal, characteristic, complemented
12#39262C212yesmaximal, complemented
13#39194C211yesmaximal, characteristic, complemented
14#39182C211yesmaximal, characteristic, complemented
15#39138C211yesmaximal, characteristic, complemented
16#39137C211yesmaximal, characteristic, complemented
17#37792C212yesmaximal, complemented
18#37772C212yesmaximal, complemented
19#37626C212yesmaximal, complemented
20#37587C212yesmaximal, complemented
21#37217C214yesmaximal, complemented
22#37214C214yesmaximal, complemented
23#35571C212yesmaximal, complemented
24#35549C212yesmaximal, complemented
25#35278C211yesmaximal, characteristic, complemented
26#35197C211yesmaximal, characteristic, complemented
27#35193C212yesmaximal, complemented
28#35190C212yesmaximal, complemented
29#35169C212yesmaximal, complemented
30#35156C212yesmaximal, complemented
31#34925C211yesmaximal, characteristic, complemented
32#34913C211yesmaximal, characteristic, complemented
33#34331C211yesmaximal, characteristic, complemented
34C4×#550C211yesmaximal, characteristic, complemented
35#34084C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#550C2211yescharacteristic
38C2×#542C2212yes—
39C2×#540C2212yes—
40C2×#540C2212yes—
41C2×#532C2212yes—
42C2×#532C2212yes—
43C2×#529C2211yescharacteristic
44C2×C4×#41C2212yes—
45#2867C2211yescharacteristic
46#2859C2211yescharacteristic
47#2856C2211yescharacteristic
48#2856C2211yescharacteristic
49#2854C2214yes—
50#2854C2212yes—
51#2853C2214yes—
52#2850C2214yes—
53#2850C2214yes—
54#2850C2212yes—
55#2829C2214yes—
56#2828C2214yes—
57#2828C2214yes—
58#2828C2214yes—
59#2805C2214yes—
60#2801C2214yes—
61#2801C2214yes—
62#2800C2214yes—
63#2779C2214yes—
64#2778C2214yes—
65#2778C2214yes—
66#2755C2214yes—
67#2753C2214yes—
68#2753C2214yes—
69#2741C2214yes—
70#2733C2214yes—
71#2730C2214yes—
72#2723C2214yes—
73#2714C2214yes—
74#2714C2214yes—
75#2710C2214yes—
76#2708C2214yes—
77#2705C2214yes—
78#2703C2214yes—
79#2703C2214yes—
80#2682C2214yes—
81#2682C2214yes—
82#2673C2214yes—
83#2673C2214yes—
84#2673C2214yes—
85#2673C2214yes—
86#2673C2214yes—
87#2673C2214yes—
88#2672C2214yes—
89#2672C2214yes—
90#2671C2214yes—
91#2663C2214yes—
92#2661C2214yes—
93#2661C2214yes—
94#2657C2212yes—
95#2653C2214yes—
96#2648C2214yes—
97#2648C2214yes—
98#2648C2214yes—
99#2647C2212yes—
100#2641C2212yes—
101#2635C2214yes—
102#2635C2214yes—
103#2635C2214yes—
104#2630C2214yes—
105#2624C2212yes—
106#2624C2212yes—
107#2624C2214yes—
108#2620C2212yes—
109#2619C2214yes—
110#2619C2212yes—
111#2619C2212yes—
112#2619C2212yes—
113#2619C2212yes—
114#2602C2214yes—
115#2598C2214yes—
116#2598C2214yes—
117#2578C2212yes—
118#2577C2212yes—
119#2576C2212yes—
120#2576C2214yes—
121#2575C2212yes—
122#2571C2211yescharacteristic
123#2571C2212yes—
124#2568C2212yes—
125#2559C2214yes—
126#2557C2214yes—
127#2557C2214yes—
128#2555C2214yes—
129#2555C2214yes—
130#2553C2214yes—
131#2551C2211yescharacteristic
132#2550C2212yes—
133#2550C2212yes—
134#2548C2211yescharacteristic
135#2548C2212yes—
136#2544C2212yes—
137#2543C2214yes—
138#2542C2212yes—
139#2541C2211yescharacteristic
140#2541C2212yes—
141#2541C2212yes—
142#2541C2212yes—
143#2541C2211yescharacteristic
144#2541C2211yescharacteristic
145#2541C2212yes—
146#2541C2212yes—
147#2540C2212yes—
148#2538C2211yescharacteristic
149#2537C2211yescharacteristic
150#2537C2212yes—
151#2535C2212yes—
152#2535C2212yes—
153#2518C2214yes—
154#2514C2211yescharacteristic
155#2513C2212yes—
156#2513C2212yes—
157#2512C2212yes—
158#2510C2214yes—
159#2508C2212yes—
160#2508C2211yescharacteristic
161#2500C2212yes—
162#2500C2212yes—
163#2495C2211yescharacteristic
164#2494C2212yes—
165#2494C2212yes—
166#2491C2212yes—
167#2491C2212yes—
168#2491C2212yes—
169#2490C2212yes—
170#2490C2212yes—
171#2489C2211yescharacteristic
172#2477C2214yes—
173#2476C2214yes—
174#2476C2214yes—
175#2470C2214yes—
176#2467C2214yes—
177#2464C2214yes—
178#2457C2214yes—
179#2457C2214yes—
180#2456C2214yes—
181#2455C2214yes—
182#2454C2211yescharacteristic
183#2454C2212yes—
184#2453C2212yes—
185#2452C2212yes—
186#2448C2212yes—
187#2447C2211yescharacteristic
188#2445C2212yes—
189#2445C2212yes—
190#2445C2212yes—
191#2445C2212yes—
192#2445C2212yes—
193#2445C2212yes—
194#2445C2212yes—
195#2445C2212yes—
196#2441C2212yes—
197#2431C2214yes—
198#2431C2212yes—
199#2431C2212yes—
200#2431C2212yes—
201#2430C2214yes—
202#2428C2212yes—
203#2428C2212yes—
204#2428C2212yes—
205#2428C2212yes—
206#2428C2212yes—
207#2428C2212yes—
208#2428C2212yes—
209#2428C2212yes—
210#2428C2212yes—
211#2428C2214yes—
212#2428C2212yes—
213#2428C2212yes—
214#2427C2211yescharacteristic
215#2427C2212yes—
216#2426C2212yes—
217#2426C2212yes—
218#2425C2214yes—
219#2422C2212yes—
220#2422C2212yes—
221#2420C2214yes—
222#2420C2211yescharacteristic
223#2420C2212yes—
224#2414C2212yes—
225#2407C2214yes—
226#2407C2212yes—
227#2407C2214yes—
228#2401C2212yes—
229#2395C2212yes—
230#2388C2214yes—
231#2367C2212yes—
232#2367C2212yes—
233#2366C2211yescharacteristic
234#2366C2212yes—
235#2366C2211yescharacteristic
236#2363C2214yes—
237#2363C2212yes—
238#2359C2214yes—
239#2355C2211yescharacteristic
240#2354C2211yescharacteristic
241#2354C2212yes—
242#2354C2212yes—
243Q8×C4⋊C4C2211yescharacteristic
244Q8×C4⋊C4C2211yescharacteristic
245#2349C2212yes—
246#2341C2212yes—
247#2335C2212yes—
248#2335C2214yes—
249#2335C2212yes—
250#2334C2212yes—
251#2334C2212yes—
252#2331C2212yes—
253#2330C2211yescharacteristic
254#2330C2211yescharacteristic
255#2328C2212yes—
256#2328C2212yes—
257#2328C2212yes—
258#2326C2212yes—
259#2326C2211yescharacteristic
260#2326C2211yescharacteristic
261#2324C2211yescharacteristic
262#2324C2211yescharacteristic
263#2324C2212yes—
264#2324C2212yes—
265#2324C2212yes—
266#2323C2212yes—
267#2323C2211yescharacteristic
268#2323C2211yescharacteristic
269#2319C2212yes—
270C4×#127C2211yescharacteristic
271C4×#127C2211yescharacteristic
272C4×#127C2212yes—
273C4×#125C2211yescharacteristic
274C4×#124C2211yescharacteristic
275C4×#124C2212yes—
276C4×C22⋊Q8C2211yescharacteristic
277C4×#121C2211yescharacteristic
278C4×#121C2212yes—
279C4×#121C2214yes—
280C4×#121C2212yes—
281C4×#121C2212yes—
282#2298C2212yes—
283#2296C2212yes—
284#2295C2211yescharacteristic
285#2295C2211yescharacteristic
286#2293C2211yescharacteristic
287#2293C2212yes—
288#2293C2212yes—
289#2290C2212yes—
290#2290C2212yes—
291#2285C2211yescharacteristic
292#2283C2212yes—
293#2275C2212yes—
294C42×Q8C2211yescharacteristic
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C42×D4C2212yes—
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2314yes—
301#559—28no—
302#550—28no—
303#542—48no—
304#540—48no—
305#540—48no—
306#532—48no—
307#532—48no—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×#127C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313C2×#127C2312yes—
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2314yes—
323#529—28no—
324C2×#126C2312yes—
325C2×#126C2314yes—
326C2×#125C2311yescharacteristic
327C2×#125C2311yescharacteristic
328C2×#125C2312yes—
329C2×#124C2311yescharacteristic
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2314yes—
333C2×#124C2312yes—
334C2×#124C2311yescharacteristic
335C2×#124C2314yes—
336C2×#124C2314yes—
337C2×#123C2312yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2314yes—
351C2×#121C2311yescharacteristic
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2311yescharacteristic
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C4×#41—48no—
381C2×C4×Q8C2311yescharacteristic
382C2×C4×Q8C2311yescharacteristic
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2312yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2312yes—
413C2×#117C2311yescharacteristic
414C2×#117C2312yes—
415C2×#117C2311yescharacteristic
416C2×#117C2312yes—
417C2×#117C2312yes—
418C2×#117C2314yes—
419C2×#117C2312yes—
420C2×#117C2314yes—
421C22×C42C2311yescharacteristic
422C22×C42C2312yes—
423C22×C42C2314yes—
424C22×C42C2312yes—
425#401C2314yes—
426#401C2312yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2312yes—
433#400C2312yes—
434#400C2312yes—
435#400C2312yes—
436#399C2314yes—
437#399C2312yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2314yes—
444#398C2314yes—
445#397C2312yes—
446#397C2312yes—
447#397C2314yes—
448#397C2314yes—
449#397C2314yes—
450#397C2314yes—
451#397C2312yes—
452#397C2314yes—
453#397C2312yes—
454#397C2314yes—
455#397C2312yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#396C2314yes—
461#396C2314yes—
462#396C2314yes—
463#396C2312yes—
464#396C2314yes—
465#396C2314yes—
466#395C2314yes—
467#395C2314yes—
468#394C2312yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2312yes—
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#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#393C2314yes—
504#393C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#391C2311yescharacteristic
530#391C2312yes—
531#391C2314yes—
532#391C2314yes—
533#391C2311yescharacteristic
534#391C2311yescharacteristic
535#391C2314yes—
536#391C2311yescharacteristic
537#391C2311yescharacteristic
538#391C2311yescharacteristic
539#390C2314yes—
540#390C2314yes—
541#390C2312yes—
542#390C2312yes—
543#390C2312yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2311yescharacteristic
552#390C2311yescharacteristic
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2314yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2314yes—
568#390C2314yes—
569#390C2312yes—
570#390C2314yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2311yescharacteristic
575#390C2311yescharacteristic
576#390C2314yes—
577#390C2314yes—
578#390C2312yes—
579#389C2311yescharacteristic
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2314yes—
585#389C2312yes—
586#389C2312yes—
587#389C2311yescharacteristic
588#389C2311yescharacteristic
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2314yes—
602#389C2311yescharacteristic
603#389C2314yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2314yes—
608#389C2312yes—
609#389C2311yescharacteristic
610#389C2312yes—
611#388C2312yes—
612#388C2312yes—
613#388C2312yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2312yes—
624#388C2312yes—
625#388C2312yes—
626#388C2312yes—
627#388C2312yes—
628#388C2314yes—
629#388C2314yes—
630#388C2312yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2312yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2312yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#387C2312yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2314yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2314yes—
667#387C2312yes—
668#387C2312yes—
669#387C2314yes—
670#387C2312yes—
671#387C2312yes—
672#387C2314yes—
673#387C2314yes—
674#386C2312yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#386C2312yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#385C2312yes—
709#385C2312yes—
710#385C2314yes—
711#385C2312yes—
712#385C2312yes—
713#385C2312yes—
714#385C2314yes—
715#385C2314yes—
716#385C2312yes—
717#385C2312yes—
718#385C2312yes—
719#385C2312yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#384C2311yescharacteristic
725#384C2312yes—
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2311yescharacteristic
729#384C2312yes—
730#383C2312yes—
731#383C2312yes—
732#382C2311yescharacteristic
733#382C2312yes—
734#382C2312yes—
735#382C2312yes—
736#382C2314yes—
737#382C2312yes—
738#382C2312yes—
739#382C2311yescharacteristic
740#382C2312yes—
741#382C2312yes—
742#381C2314yes—
743#381C2312yes—
744#381C2312yes—
745#380C2314yes—
746#380C2312yes—
747#380C2312yes—
748#380C2311yescharacteristic
749#380C2311yescharacteristic
750#380C2312yes—
751#380C2311yescharacteristic
752#380C2312yes—
753#380C2312yes—
754#380C2314yes—
755#380C2312yes—
756#380C2314yes—
757#380C2311yescharacteristic
758#380C2314yes—
759#380C2312yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2311yescharacteristic
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2311yescharacteristic
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2311yescharacteristic
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811#376C2312yes—
812#376C2311yescharacteristic
813#376C2311yescharacteristic
814#376C2312yes—
815C2×#95C2314yes—
816C43C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2312yes—
819C2×#41—28no—
820C2×#41—48no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—48no—
824C2×#41—84no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2411yescharacteristic
827C22×Q8C2414yes—
828C22×D4C2411yescharacteristic
829C22×D4C2412yes—
830C22×D4C2412yes—
831C22×D4C2412yes—
832C22×D4C2411yescharacteristic
833C22×D4C2412yes—
834C22×D4C2414yes—
835C22×D4C2414yes—
836C22×D4C2412yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2414yes—
859C23×C4C2414yes—
860C23×C4C2412yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2414yes—
867C23×C4C2412yes—
868C4⋊Q8—28no—
869C4⋊Q8—44no—
870#127—24no—
871#127—28no—
872#127—24no—
873#127—44no—
874#127—44no—
875#127—44no—
876#127—44no—
877#127—44no—
878#127—44no—
879#127—44no—
880#127—84no—
881#127—82no—
882#127—82no—
883#126—28no—
884#126—48no—
885#125—24no—
886#125—24no—
887#125—44no—
888#124—24no—
889#124—28no—
890#124—28no—
891#124—48no—
892#124—42no—
893#124—44no—
894#124—48no—
895#124—48no—
896#123—28no—
897#123—216no—
898#123—48no—
899#123—48no—
900#123—48no—
901#123—48no—
902#123—48no—
903#123—84no—
904#123—84no—
905C22⋊Q8—24no—
906C22⋊Q8—24no—
907C22⋊Q8—44no—
908C22⋊Q8—48no—
909C22⋊Q8—84no—
910#121—24no—
911#121—28no—
912#121—216no—
913#121—28no—
914#121—48no—
915#121—48no—
916#121—48no—
917#121—48no—
918#121—48no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—42no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—48no—
928#121—44no—
929#121—44no—
930#121—44no—
931#121—44no—
932#121—84no—
933#121—84no—
934#121—84no—
935#121—84no—
936#121—84no—
937#121—82no—
938#121—82no—
939C4×Q8—24no—
940C4×Q8—24no—
941C4×Q8—42no—
942C4×Q8—44no—
943C4×Q8—44no—
944C4×Q8#4118yescomplemented
945C4×D4—28no—
946C4×D4—24no—
947C4×D4—28no—
948C4×D4—24no—
949C4×D4—28no—
950C4×D4—24no—
951C4×D4—28no—
952C4×D4—28no—
953C4×D4—28no—
954C4×D4—24no—
955C4×D4—28no—
956C4×D4—42no—
957C4×D4—42no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—48no—
965C4×D4—48no—
966C4×D4—48no—
967C4×D4—48no—
968C4×D4—82no—
969C4×D4—84no—
970C4×D4—82no—
971#117—28no—
972#117—24no—
973#117—42no—
974#117—44no—
975#117—44no—
976#117—48no—
977#117—44no—
978#117—84no—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C42—24no—
1104C2×C42—28no—
1105C2×C42—48no—
1106C2×C42—44no—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2412yes—
1126C2×C42C2414yes—
1127C2×C42C2414yes—
1128C2×C42C2412yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2414yes—
1133C2×C42C2414yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2412yes—
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2411yescharacteristic
1154#95C2411yescharacteristic
1155#95C2411yescharacteristic
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203C24C2512yes—
1204C24C2514yes—
1205C24C2511yescharacteristic
1206C24C2514yes—
1207C24C2512yes—
1208#41—432no—
1209#41—832no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—28no—
1214C2×Q8—22no—
1215C2×Q8—22no—
1216C2×Q8—44no—
1217C2×Q8—44no—
1218C2×Q8C2×#4114yes—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—22no—
1224C2×D4—28no—
1225C2×D4—24no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—28no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—24no—
1234C2×D4—22no—
1235C2×D4—24no—
1236C2×D4—28no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—42no—
1248C2×D4—44no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
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—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
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—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—24no—
1297C22×C4—28no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—24no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—22no—
1307C22×C4—24no—
1308C22×C4—22no—
1309C22×C4—24no—
1310C22×C4—22no—
1311C22×C4—28no—
1312C22×C4—24no—
1313C22×C4—28no—
1314C22×C4—28no—
1315C22×C4—28no—
1316C22×C4—44no—
1317C22×C4—42no—
1318C22×C4—44no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—44no—
1322C22×C4—42no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—44no—
1329C22×C4—42no—
1330C22×C4—44no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—42no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4C2511yescharacteristic
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2511yescharacteristic
1350C22×C4C2511yescharacteristic
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2512yes—
1358C22×C4C2514yes—
1359C22×C4C2514yes—
1360C22×C4C2512yes—
1361C22×C4C2511yescharacteristic
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—24no—
1379C4⋊C4—22no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—24no—
1385C4⋊C4—28no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—22no—
1390C4⋊C4—22no—
1391C4⋊C4—22no—
1392C4⋊C4—24no—
1393C4⋊C4—22no—
1394C4⋊C4—41no—
1395C4⋊C4—41no—
1396C4⋊C4—44no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—44no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—44no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—44no—
1422C4⋊C4C2×#4114yes—
1423C4⋊C4C2×#4118yes—
1424C4⋊C4H(5,𝔽2)14yes—
1425C22⋊C4—24no—
1426C22⋊C4—24no—
1427C22⋊C4—24no—
1428C22⋊C4—28no—
1429C22⋊C4—24no—
1430C22⋊C4—28no—
1431C22⋊C4—28no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—28no—
1435C22⋊C4—22no—
1436C22⋊C4—22no—
1437C22⋊C4—28no—
1438C22⋊C4—28no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—28no—
1442C22⋊C4—28no—
1443C22⋊C4—24no—
1444C22⋊C4—41no—
1445C22⋊C4—41no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—42no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C42—22no—
1494C42—22no—
1495C42—22no—
1496C42—24no—
1497C42—24no—
1498C42—24no—
1499C42—24no—
1500C42—22no—
1501C42—24no—
1502C42—24no—
1503C42—22no—
1504C42—24no—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—22no—
1509C42—24no—
1510C42—22no—
1511C42—44no—
1512C42—42no—
1513C42—44no—
1514C42—42no—
1515C42—42no—
1516C42—44no—
1517C42—41no—
1518C42—42no—
1519C42—41no—
1520C42—42no—
1521C42—44no—
1522C42—41no—
1523C42—41no—
1524C42C2×#4114yes—
1525C42C2×#4118yes—
1526C42H(5,𝔽2)14yes—
1527C23—22no—
1528C23—24no—
1529C23—21no—
1530C23—24no—
1531C23—22no—
1532C23—21no—
1533C23—21no—
1534C23—24no—
1535C23—24no—
1536C23—22no—
1537C23—22no—
1538C23—24no—
1539C23—24no—
1540C23—22no—
1541C23—22no—
1542C23—21no—
1543C23—22no—
1544C23—22no—
1545C23—24no—
1546C23—24no—
1547C23—24no—
1548C23—22no—
1549C23—22no—
1550C23—21no—
1551C23—24no—
1552C23—22no—
1553C23—24no—
1554C23—22no—
1555C23—24no—
1556C23—21no—
1557C23—24no—
1558C23—24no—
1559C23—22no—
1560C23—22no—
1561C23—21no—
1562C23C2611yescharacteristic
1563Q8—28no—
1564Q8—44no—
1565Q8—88no—
1566D4—416no—
1567D4—44no—
1568D4—48no—
1569D4—48no—
1570D4—48no—
1571D4—48no—
1572D4—44no—
1573D4—84no—
1574D4—88no—
1575D4—84no—
1576D4—84no—
1577D4—88no—
1578D4—88no—
1579D4—88no—
1580D4—84no—
1581D4—88no—
1582D4—88no—
1583D4—164no—
1584D4—164no—
1585D4—164no—
1586D4—164no—
1587D4—164no—
1588D4—164no—
1589D4—164no—
1590D4—164no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—21no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—24no—
1625C2×C4—24no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—24no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—22no—
1655C2×C4—24no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—24no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—48no—
1670C2×C4—416no—
1671C2×C4—48no—
1672C2×C4—44no—
1673C2×C4—48no—
1674C2×C4—44no—
1675C2×C4—48no—
1676C2×C4—88no—
1677C2×C4—82no—
1678C2×C4—88no—
1679C2×C4—84no—
1680C2×C4—88no—
1681C2×C4—88no—
1682C2×C4—84no—
1683C2×C4—164no—
1684C2×C4C22×#4112yes—
1685C2×C4C22×#4114yes—
1686C2×C4C22×#4114yes—
1687C2×C4C22×#4112yes—
1688C2×C4C22×#4112yes—
1689C2×C4C2×H(5,𝔽2)12yes—
1690C2×C4C2×H(5,𝔽2)12yes—
1691C2×C4C2×H(5,𝔽2)14yes—
1692C2×C4C2×H(5,𝔽2)12yes—
1693C2×C4C2×H(5,𝔽2)12yes—
1694C2×C4#58512yes—
1695C2×C4#58512yes—
1696C22—42no—
1697C22—41no—
1698C22—44no—
1699C22—44no—
1700C22—42no—
1701C22—41no—
1702C22—44no—
1703C22—42no—
1704C22—44no—
1705C22—42no—
1706C22—42no—
1707C22—42no—
1708C22—44no—
1709C22—44no—
1710C22—41no—
1711C22—42no—
1712C22—44no—
1713C22—42no—
1714C22—44no—
1715C22—41no—
1716C22—44no—
1717C22—42no—
1718C22—41no—
1719C22—42no—
1720C22—44no—
1721C22—44no—
1722C22—42no—
1723C22—42no—
1724C22—44no—
1725C22—41no—
1726C22—41no—
1727C22—42no—
1728C22—42no—
1729C22—44no—
1730C22—44no—
1731C22C23×#4111yescharacteristic
1732C22C22×H(5,𝔽2)11yescharacteristic
1733C22C22×H(5,𝔽2)11yescharacteristic
1734C22C2×#58511yescharacteristic
1735C22C2×#58511yescharacteristic
1736C22H(7,𝔽2)11yescharacteristic
1737C22H(7,𝔽2)11yescharacteristic
1738C4—24no—
1739C4—22no—
1740C4—22no—
1741C4—24no—
1742C4—24no—
1743C4—22no—
1744C4—41no—
1745C4—42no—
1746C4—42no—
1747C4—41no—
1748C4—42no—
1749C4—42no—
1750C4—42no—
1751C4—44no—
1752C4—41no—
1753C4—41no—
1754C4—42no—
1755C4—42no—
1756C4—42no—
1757C4—41no—
1758C4—41no—
1759C4—42no—
1760C4—42no—
1761C4—44no—
1762C4—41no—
1763C4—41no—
1764C4—42no—
1765C4—41no—
1766C4#346014yes—
1767C4#351714yes—
1768C2—81no—
1769C2—82no—
1770C2—84no—
1771C2—82no—
1772C2—84no—
1773C2C2×#346011yescharacteristic
1774C2C2×#351711yescharacteristic
1775C2#6285811yescharacteristic
1776C2#6291211yescharacteristic
1777C2#6292311yescharacteristic
1778C2#6295511yescharacteristic
1779C2#6296611yescharacteristic
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. #42907C2semidirect
2. #42895C2semidirect
3. #42624C2semidirect
4. #42578C2semidirect
5. #41322C2semidirect
6. #41240C2semidirect
7. #39821C2semidirect
8. #39745C2semidirect
9. #39735C2semidirect
10. #39386C2semidirect
11. #39351C2semidirect
12. #39262C2semidirect
13. #39194C2semidirect
14. #39182C2semidirect
15. #39138C2semidirect
16. #39137C2semidirect
17. #37792C2semidirect
18. #37772C2semidirect
19. #37626C2semidirect
20. #37587C2semidirect
21. #37217C2semidirect
22. #37214C2semidirect
23. #35571C2semidirect
24. #35549C2semidirect
25. #35278C2semidirect
26. #35197C2semidirect
27. #35193C2semidirect
28. #35190C2semidirect
29. #35169C2semidirect
30. #35156C2semidirect
31. #34925C2semidirect
32. #34913C2semidirect
33. #34331C2semidirect
34. C4×#550C2semidirect
35. #34084C2semidirect
944. C4×Q8#41semidirect

Maximal subgroups

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

subgroupindex
#429072
#428952
#426242
#425782
#413222
#412402
#398212
#397452
#397352
#393862
#393512
#392622
#391942
#391822
#391382
#391372
#377922
#377722
#376262
#375872
#372172
#372142
#355712
#355492
#352782
#351972
#351932
#351902
#351692
#351562
#349252
#349132
#343312
C4×#5502
#340842