Finite Group Databasebeta

← #8466980

Subgroups — #8466980

Order 512.

5413 conjugacy classes of subgroups.

The subgroup lattice has 1887 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59419C211yesmaximal, characteristic, complemented
2#59304C211yesmaximal, characteristic, complemented
3#59242C211yesmaximal, characteristic, complemented
4#56032C214yesmaximal, complemented
5#54920C214yesmaximal, complemented
6#54025C214yesmaximal, complemented
7#53059C212yesmaximal, complemented
8#52976C212yesmaximal, complemented
9#49994C214yesmaximal, complemented
10#45599C212yesmaximal, complemented
11#45593C212yesmaximal, complemented
12#45104C212yesmaximal, complemented
13#45036C212yesmaximal, complemented
14#42986C212yesmaximal, complemented
15#42740C212yesmaximal, complemented
16#42602C212yesmaximal, complemented
17#42555C212yesmaximal, complemented
18#39862C212yesmaximal, complemented
19#39341C211yesmaximal, characteristic, complemented
20#39193C211yesmaximal, characteristic, complemented
21#39148C212yesmaximal, complemented
22#39138C211yesmaximal, characteristic, complemented
23#39138C211yesmaximal, characteristic, complemented
24#37972C212yesmaximal, complemented
25#37670C212yesmaximal, complemented
26#37620C211yesmaximal, characteristic, complemented
27#37300C212yesmaximal, complemented
28#37283C212yesmaximal, complemented
29#36182C211yesmaximal, characteristic, complemented
30#36174C211yesmaximal, characteristic, complemented
31#36101C211yesmaximal, characteristic, complemented
32#35171C211yesmaximal, characteristic, complemented
33#35165C211yesmaximal, characteristic, complemented
34#34889C211yesmaximal, characteristic, complemented
35#34700C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#553C2212yescomplemented
38C2×#550C2211yescharacteristic
39C2×#550C2211yescharacteristic, complemented
40C2×#540C2212yescomplemented
41C2×#537C2212yes—
42C2×#535C2212yes—
43C2×#532C2211yescharacteristic
44C2×#529C2211yescharacteristic
45C2×#529C2211yescharacteristic, complemented
46C2×#525C2212yes—
47C22×C4×D4C2211yescharacteristic
48#2859C2211yescharacteristic, complemented
49#2856C2211yescharacteristic
50#2856C2212yes—
51#2856C2211yescharacteristic, complemented
52#2854C2212yescomplemented
53#2850C2212yes—
54#2847C2212yes—
55#2847C2212yes—
56#2847C2212yes—
57#2837C2214yescomplemented
58#2827C2214yescomplemented
59#2826C2214yescomplemented
60#2825C2214yescomplemented
61#2825C2214yescomplemented
62#2823C2214yescomplemented
63#2818C2214yes—
64#2813C2214yescomplemented
65#2787C2214yes—
66#2779C2214yescomplemented
67#2778C2214yescomplemented
68#2764C2214yescomplemented
69#2761C2214yescomplemented
70#2757C2214yescomplemented
71#2757C2214yescomplemented
72#2756C2214yes—
73#2756C2214yescomplemented
74#2749C2214yes—
75#2749C2214yescomplemented
76#2749C2214yescomplemented
77#2749C2214yescomplemented
78#2749C2214yescomplemented
79#2749C2214yescomplemented
80#2730C2214yes—
81#2730C2214yes—
82#2718C2214yescomplemented
83#2714C2214yescomplemented
84#2714C2214yescomplemented
85#2714C2214yescomplemented
86#2708C2214yes—
87#2708C2214yescomplemented
88#2706C2214yescomplemented
89#2706C2214yescomplemented
90#2703C2214yescomplemented
91#2699C2214yescomplemented
92#2698C2214yescomplemented
93#2693C2214yescomplemented
94#2691C2214yescomplemented
95#2688C2214yes—
96#2688C2214yescomplemented
97#2688C2214yescomplemented
98#2682C2214yescomplemented
99#2678C2214yes—
100#2678C2214yes—
101#2678C2214yes—
102#2678C2214yes—
103#2676C2214yescomplemented
104#2675C2214yes—
105#2673C2214yes—
106#2673C2214yes—
107#2673C2214yescomplemented
108#2673C2214yescomplemented
109#2673C2214yescomplemented
110#2669C2214yes—
111#2669C2214yes—
112#2668C2214yes—
113#2668C2214yes—
114#2662C2214yes—
115#2661C2214yescomplemented
116#2644C2214yescomplemented
117#2643C2214yescomplemented
118#2636C2214yescomplemented
119#2631C2214yes—
120#2629C2212yescomplemented
121#2629C2212yescomplemented
122#2625C2212yescomplemented
123#2620C2212yes—
124#2620C2212yescomplemented
125#2619C2212yes—
126#2619C2212yescomplemented
127#2618C2214yescomplemented
128#2617C2214yes—
129#2615C2212yes—
130#2603C2214yes—
131#2582C2211yescharacteristic, complemented
132#2571C2212yescomplemented
133#2566C2212yescomplemented
134#2559C2212yes—
135#2557C2212yescomplemented
136#2554C2214yescomplemented
137#2552C2211yescharacteristic, complemented
138#2550C2211yescharacteristic, complemented
139#2547C2212yes—
140#2544C2214yes—
141#2544C2211yescharacteristic, complemented
142#2543C2214yescomplemented
143#2541C2211yescharacteristic
144#2541C2212yes—
145#2541C2212yes—
146#2541C2214yes—
147#2541C2212yes—
148#2541C2212yescomplemented
149#2541C2212yescomplemented
150#2541C2211yescharacteristic, complemented
151#2541C2212yescomplemented
152#2540C2211yescharacteristic
153#2538C2211yescharacteristic
154#2538C2211yescharacteristic, complemented
155#2537C2211yescharacteristic
156#2537C2211yescharacteristic
157#2537C2211yescharacteristic
158#2537C2211yescharacteristic
159#2535C2212yes—
160#2535C2211yescharacteristic
161#2535C2214yes—
162#2535C2212yes—
163#2535C2212yescomplemented
164#2535C2212yescomplemented
165#2532C2214yescomplemented
166#2526C2214yescomplemented
167#2524C2214yescomplemented
168#2521C2212yescomplemented
169#2518C2214yescomplemented
170#2514C2212yescomplemented
171#2514C2212yescomplemented
172#2512C2212yescomplemented
173#2512C2212yescomplemented
174#2504C2212yes—
175#2504C2212yescomplemented
176#2501C2212yes—
177#2500C2212yes—
178#2499C2212yes—
179#2496C2212yescomplemented
180#2495C2212yes—
181#2495C2212yescomplemented
182#2495C2212yescomplemented
183#2495C2212yescomplemented
184#2492C2211yescharacteristic, complemented
185#2490C2212yes—
186#2490C2211yescharacteristic
187#2490C2212yes—
188#2490C2212yescomplemented
189#2490C2212yescomplemented
190#2490C2212yescomplemented
191#2489C2212yes—
192#2489C2212yescomplemented
193#2487C2212yescomplemented
194#2480C2212yes—
195#2468C2212yes—
196#2464C2212yes—
197#2464C2214yescomplemented
198#2457C2214yes—
199#2457C2212yes—
200#2456C2214yes—
201#2456C2214yescomplemented
202#2454C2211yescharacteristic
203#2452C2212yescomplemented
204#2450C2214yescomplemented
205#2447C2211yescharacteristic
206#2445C2212yes—
207#2444C2214yescomplemented
208#2443C2214yescomplemented
209#2442C2211yescharacteristic
210#2442C2212yescomplemented
211#2441C2212yescomplemented
212#2435C2211yescharacteristic
213#2433C2212yes—
214#2431C2212yes—
215#2431C2212yes—
216#2431C2212yescomplemented
217#2431C2212yescomplemented
218#2428C2212yes—
219#2428C2212yes—
220#2428C2212yes—
221#2428C2212yes—
222#2428C2212yescomplemented
223#2428C2212yescomplemented
224#2428C2211yescharacteristic, complemented
225#2428C2214yescomplemented
226#2427C2211yescharacteristic
227#2427C2211yescharacteristic
228#2427C2212yescomplemented
229#2425C2214yes—
230#2424C2214yes—
231#2422C2212yes—
232#2422C2212yes—
233#2422C2212yescomplemented
234#2422C2212yescomplemented
235#2420C2211yescharacteristic
236#2420C2212yescomplemented
237#2420C2212yescomplemented
238#2420C2212yescomplemented
239#2420C2214yescomplemented
240#2418C2212yes—
241#2417C2211yescharacteristic
242#2417C2212yescomplemented
243#2417C2212yescomplemented
244#2416C2212yes—
245#2416C2212yes—
246#2416C2212yes—
247#2416C2212yes—
248#2416C2212yescomplemented
249#2416C2212yescomplemented
250#2414C2212yes—
251#2408C2211yescharacteristic
252#2407C2212yes—
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2395C2212yes—
257#2395C2212yescomplemented
258#2392C2212yes—
259#2388C2212yes—
260#2380C2214yescomplemented
261#2370C2212yescomplemented
262#2366C2212yes—
263#2363C2212yescomplemented
264#2361C2212yes—
265#2361C2212yescomplemented
266#2361C2212yescomplemented
267#2355C2211yescharacteristic, complemented
268#2355C2211yescharacteristic, complemented
269#2354C2211yescharacteristic
270D4×C4⋊C4C2211yescharacteristic, complemented
271D4×C4⋊C4C2212yescomplemented
272#2347C2212yes—
273#2346C2212yescomplemented
274#2339C2212yescomplemented
275#2339C2212yescomplemented
276#2328C2214yescomplemented
277#2324C2212yescomplemented
278#2324C2212yescomplemented
279#2324C2212yescomplemented
280#2324C2212yescomplemented
281#2311C2212yes—
282C4×#127C2211yescharacteristic, complemented
283C4×#124C2211yescharacteristic
284C4×#124C2211yescharacteristic, complemented
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2212yescomplemented
289C4×#121C2211yescharacteristic, complemented
290C4×#120C2212yes—
291#2297C2212yes—
292#2293C2211yescharacteristic
293#2285C2211yescharacteristic
294C2×#384C2211yescharacteristic, complemented
295#2283C2212yescomplemented
296#2280C2212yes—
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2311yescharacteristic
303C24×C4C2312yes—
304#553—48no—
305#553—48no—
306#550—44no—
307#550—44no—
308#540—48no—
309#537—48no—
310#535—48no—
311#532—44no—
312C2×C4⋊Q8C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2314yes—
315C2×#127C2314yes—
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2314yes—
320C2×#127C2311yescharacteristic
321C2×#127C2312yes—
322#529—44no—
323#529—44no—
324C2×#126C2314yes—
325C2×#126C2312yes—
326C2×#126C2312yes—
327C2×#126C2314yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2311yescharacteristic
331C2×#125C2311yescharacteristic
332C2×#124C2311yescharacteristic
333C2×#124C2311yescharacteristic
334C2×#124C2311yescharacteristic
335C2×#124C2314yes—
336C2×#124C2312yes—
337C2×#124C2311yescharacteristic
338#525—48no—
339C2×#123C2314yes—
340C2×#123C2312yes—
341C2×#123C2312yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2314yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2311yescharacteristic
377C2×#121C2311yescharacteristic
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2311yescharacteristic
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2312yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2312yes—
390C2×#121C2314yes—
391C2×#121C2312yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#120C2314yes—
396C2×#120C2314yes—
397C2×#120C2312yes—
398C2×#120C2314yes—
399C2×#120C2314yes—
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2311yescharacteristic
402C2×C4×D4—44no—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2312yes—
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2312yes—
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2312yes—
436C22×C4⋊C4C2311yescharacteristic
437C22×C4⋊C4C2312yes—
438C22×C4⋊C4C2312yes—
439C22×C4⋊C4C2312yes—
440C22×C4⋊C4C2312yes—
441C22×C22⋊C4C2312yes—
442C22×C42C2311yescharacteristic
443C22×C42C2311yescharacteristic
444C22×C42C2312yes—
445#401C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2312yes—
450#400C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#400C2312yes—
455#399C2314yes—
456#399C2312yes—
457#399C2314yes—
458#399C2312yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2312yes—
464#398C2314yes—
465#398C2312yes—
466#398C2312yes—
467#398C2314yes—
468#397C2312yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2312yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2312yes—
483#397C2312yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2312yes—
488#397C2312yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2312yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2312yes—
505#396C2314yes—
506#395C2312yes—
507#394C2312yes—
508#394C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2312yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2312yes—
533#394C2312yes—
534#394C2312yes—
535#394C2312yes—
536#394C2312yes—
537#394C2312yes—
538#394C2312yes—
539#394C2314yes—
540#394C2314yes—
541#393C2314yes—
542#393C2312yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2312yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2312yes—
563#392C2312yes—
564#392C2312yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#391C2314yes—
572#391C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2311yescharacteristic
576#391C2311yescharacteristic
577#391C2312yes—
578#391C2311yescharacteristic
579#391C2311yescharacteristic
580#391C2312yes—
581#391C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2314yes—
588#390C2311yescharacteristic
589#390C2314yes—
590#390C2312yes—
591#390C2314yes—
592#390C2312yes—
593#390C2314yes—
594#390C2314yes—
595#390C2312yes—
596#390C2314yes—
597#390C2312yes—
598#390C2312yes—
599#390C2311yescharacteristic
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2314yes—
605#390C2312yes—
606#390C2314yes—
607#390C2311yescharacteristic
608#390C2311yescharacteristic
609#390C2312yes—
610#390C2314yes—
611#390C2314yes—
612#390C2311yescharacteristic
613#390C2311yescharacteristic
614#390C2312yes—
615#389C2311yescharacteristic
616#389C2314yes—
617#389C2312yes—
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2311yescharacteristic
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2314yes—
631#389C2312yes—
632#389C2311yescharacteristic
633#389C2312yes—
634#389C2311yescharacteristic
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2314yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2314yes—
668#387C2312yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
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#386C2312yes—
702#386C2312yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2312yes—
708#386C2312yes—
709#386C2312yes—
710#386C2312yes—
711#386C2312yes—
712#386C2312yes—
713#386C2312yes—
714#386C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2312yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2312yes—
728#385C2314yes—
729#385C2312yes—
730#385C2312yes—
731#384C2311yescharacteristic
732#384C2312yes—
733#384C2312yes—
734#384C2312yes—
735#384C2311yescharacteristic
736#384C2311yescharacteristic
737#384C2312yes—
738#383C2314yes—
739#383C2314yes—
740#383C2314yes—
741#383C2314yes—
742#382C2312yes—
743#382C2314yes—
744#382C2312yes—
745#382C2312yes—
746#382C2314yes—
747#382C2312yes—
748#382C2311yescharacteristic
749#382C2311yescharacteristic
750#381C2314yes—
751#381C2314yes—
752#381C2312yes—
753#381C2314yes—
754#381C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2311yescharacteristic
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2314yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2314yes—
778#380C2312yes—
779#380C2311yescharacteristic
780#379C2312yes—
781#379C2312yes—
782#379C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819#376C2314yes—
820C2×#95C2314yes—
821C43C2311yescharacteristic
822C25C2412yes—
823C2×#41—28no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2412yes—
835C22×D4—24no—
836C22×D4—42no—
837C22×D4—42no—
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2411yescharacteristic
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C23×C4—44no—
870C23×C4—44no—
871C23×C4—44no—
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2414yes—
885C23×C4C2414yes—
886C23×C4C2414yes—
887C23×C4C2412yes—
888C23×C4C2414yes—
889C23×C4C2412yes—
890C23×C4C2414yes—
891C23×C4C2412yes—
892C4⋊Q8—42no—
893#127—24no—
894#127—44no—
895#127—42no—
896#127—48no—
897#127—44no—
898#127—44no—
899#127—44no—
900#127—48no—
901#127—48no—
902#126—44no—
903#126—44no—
904#126—48no—
905#126—48no—
906#125—28no—
907#125—42no—
908#125—42no—
909#125—44no—
910#124—44no—
911#124—42no—
912#124—42no—
913#124—42no—
914#124—42no—
915#124—48no—
916#123—48no—
917#123—48no—
918#123—48no—
919#123—48no—
920#123—44no—
921#123—44no—
922#123—48no—
923#123—84no—
924C22⋊Q8—24no—
925C22⋊Q8—24no—
926C22⋊Q8—48no—
927C22⋊Q8—44no—
928C22⋊Q8—42no—
929C22⋊Q8—42no—
930C22⋊Q8—44no—
931#121—28no—
932#121—28no—
933#121—24no—
934#121—44no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—48no—
940#121—44no—
941#121—48no—
942#121—48no—
943#121—48no—
944#121—44no—
945#121—44no—
946#121—42no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—42no—
952#121—42no—
953#121—42no—
954#121—42no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—44no—
959#121—44no—
960#121—48no—
961#121—44no—
962#121—44no—
963#121—44no—
964#121—44no—
965#121—44no—
966#121—44no—
967#121—84no—
968#121—84no—
969#121—82no—
970#121—84no—
971#121—84no—
972#120—48no—
973#120—48no—
974#120—48no—
975#120—44no—
976#120—84no—
977C4×Q8—24no—
978C4×Q8—24no—
979C4×D4—24no—
980C4×D4—24no—
981C4×D4—24no—
982C4×D4—24no—
983C4×D4—24no—
984C4×D4—24no—
985C4×D4—44no—
986C4×D4—48no—
987C4×D4—48no—
988C4×D4—42no—
989C4×D4—42no—
990C4×D4—42no—
991C4×D4—48no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—48no—
996C4×D4—44no—
997C4×D4—44no—
998C4×D4—44no—
999C4×D4—44no—
1000C4×D4—42no—
1001C4×D4—44no—
1002C4×D4—44no—
1003C4×D4—44no—
1004C4×D4—44no—
1005C4×D4—42no—
1006C4×D4—82no—
1007#117—28no—
1008#117—28no—
1009#117—44no—
1010#117—44no—
1011#117—44no—
1012C2×C4⋊C4—42no—
1013C2×C4⋊C4—44no—
1014C2×C4⋊C4—44no—
1015C2×C4⋊C4—44no—
1016C2×C4⋊C4—82no—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C22⋊C4—44no—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2411yescharacteristic
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2411yescharacteristic
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C42—24no—
1150C2×C42—24no—
1151C2×C42—44no—
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2414yes—
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2414yes—
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2412yes—
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2414yes—
1171C2×C42C2414yes—
1172C2×C42C2412yes—
1173C2×C42C2412yes—
1174C2×C42C2411yescharacteristic
1175#95C2412yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2412yes—
1187#95C2411yescharacteristic
1188#95C2412yes—
1189#95C2412yes—
1190#95C2411yescharacteristic
1191#95C2411yescharacteristic
1192#95C2411yescharacteristic
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229C24—24no—
1230C24—42no—
1231C24—42no—
1232C24—42no—
1233C24—42no—
1234C24—42no—
1235C24—42no—
1236C24C2512yes—
1237C24C2512yes—
1238C24C2512yes—
1239C24C2512yes—
1240C24C2514yes—
1241C24C2511yescharacteristic
1242C24C2511yescharacteristic
1243#41—816no—
1244#41—816no—
1245#41—816no—
1246C2×Q8—22no—
1247C2×Q8—22no—
1248C2×Q8—22no—
1249C2×Q8—22no—
1250C2×Q8—24no—
1251C2×Q8—22no—
1252C2×Q8—22no—
1253C2×Q8—42no—
1254C2×Q8—42no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—28no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—28no—
1264C2×D4—24no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—24no—
1271C2×D4—22no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—24no—
1279C2×D4—28no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—24no—
1285C2×D4—22no—
1286C2×D4—24no—
1287C2×D4—22no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—41no—
1291C2×D4—42no—
1292C2×D4—416no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—44no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—42no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—22no—
1367C22×C4—24no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—22no—
1371C22×C4—24no—
1372C22×C4—24no—
1373C22×C4—24no—
1374C22×C4—22no—
1375C22×C4—24no—
1376C22×C4—41no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—42no—
1382C22×C4—42no—
1383C22×C4—42no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—41no—
1388C22×C4—42no—
1389C22×C4—44no—
1390C22×C4—42no—
1391C22×C4—41no—
1392C22×C4—42no—
1393C22×C4—42no—
1394C22×C4—42no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—44no—
1403C22×C4—44no—
1404C22×C4—44no—
1405C22×C4—44no—
1406C22×C4—44no—
1407C22×C4—44no—
1408C22×C4—816no—
1409C22×C4H(5,𝔽2)14yes—
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2514yes—
1413C22×C4C2512yes—
1414C22×C4C2511yescharacteristic
1415C22×C4C2512yes—
1416C22×C4C2512yes—
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2511yescharacteristic
1420C22×C4C2512yes—
1421C22×C4C2512yes—
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C22×C4C2512yes—
1426C22×C4C2514yes—
1427C22×C4C2512yes—
1428C22×C4C2512yes—
1429C22×C4C2511yescharacteristic
1430C22×C4C2514yes—
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C22×C4C2512yes—
1435C22×C4C2511yescharacteristic
1436C22×C4C2511yescharacteristic
1437C22×C4C2511yescharacteristic
1438C4⋊C4—24no—
1439C4⋊C4—22no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—22no—
1449C4⋊C4—24no—
1450C4⋊C4—28no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—28no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—24no—
1460C4⋊C4—42no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—44no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—42no—
1472C4⋊C4—42no—
1473C4⋊C4—42no—
1474C4⋊C4—41no—
1475C4⋊C4—41no—
1476C4⋊C4—42no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4—42no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—42no—
1487C4⋊C4—44no—
1488C4⋊C4—44no—
1489C4⋊C4H(5,𝔽2)14yes—
1490C22⋊C4—28no—
1491C22⋊C4—22no—
1492C22⋊C4—24no—
1493C22⋊C4—22no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—28no—
1497C22⋊C4—22no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—28no—
1503C22⋊C4—28no—
1504C22⋊C4—24no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—41no—
1517C22⋊C4—41no—
1518C22⋊C4—41no—
1519C22⋊C4—42no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—44no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—42no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—42no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—42no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C42—22no—
1570C42—22no—
1571C42—22no—
1572C42—22no—
1573C42—22no—
1574C42—22no—
1575C42—28no—
1576C42—28no—
1577C42—22no—
1578C42—24no—
1579C42—24no—
1580C42—24no—
1581C42—22no—
1582C42—22no—
1583C42—24no—
1584C42—22no—
1585C42—42no—
1586C42—42no—
1587C42—41no—
1588C42—41no—
1589C42—44no—
1590C42—44no—
1591C42H(5,𝔽2)14yes—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—24no—
1609C23—22no—
1610C23—24no—
1611C23—22no—
1612C23—22no—
1613C23—22no—
1614C23—22no—
1615C23—22no—
1616C23—22no—
1617C23—24no—
1618C23—22no—
1619C23—22no—
1620C23—22no—
1621C23—22no—
1622C23—24no—
1623C23—22no—
1624C23—24no—
1625C23—22no—
1626C23—24no—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23—22no—
1631C23—22no—
1632C23—22no—
1633C23—22no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—24no—
1638C23—22no—
1639C23—48no—
1640C23—84no—
1641C23—84no—
1642C23—84no—
1643C23—84no—
1644C23—84no—
1645C23—84no—
1646C23C2×H(5,𝔽2)12yes—
1647C23#58512yes—
1648C23C2611yescharacteristic
1649Q8—44no—
1650Q8—44no—
1651Q8—84no—
1652D4—48no—
1653D4—48no—
1654D4—44no—
1655D4—44no—
1656D4—44no—
1657D4—48no—
1658D4—44no—
1659D4—44no—
1660D4—48no—
1661D4—88no—
1662D4—84no—
1663D4—84no—
1664D4—84no—
1665D4—88no—
1666D4—88no—
1667D4—84no—
1668D4—84no—
1669D4—84no—
1670D4—84no—
1671D4—84no—
1672D4—88no—
1673D4—88no—
1674D4—164no—
1675D4—164no—
1676D4—164no—
1677D4—164no—
1678D4—164no—
1679D4—164no—
1680D4—164no—
1681D4—164no—
1682D4—164no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—28no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—24no—
1699C2×C4—24no—
1700C2×C4—24no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—24no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—24no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—24no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—24no—
1753C2×C4—22no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—24no—
1759C2×C4—44no—
1760C2×C4—44no—
1761C2×C4—48no—
1762C2×C4—48no—
1763C2×C4—44no—
1764C2×C4—48no—
1765C2×C4—44no—
1766C2×C4—48no—
1767C2×C4—84no—
1768C2×C4—82no—
1769C2×C4—84no—
1770C2×C4—84no—
1771C2×C4—84no—
1772C2×C4—84no—
1773C2×C4—88no—
1774C2×C4—88no—
1775C2×C4—164no—
1776C2×C4—164no—
1777C2×C4—164no—
1778C2×C4C2×H(5,𝔽2)12yes—
1779C2×C4C2×H(5,𝔽2)12yes—
1780C2×C4C2×H(5,𝔽2)14yes—
1781C2×C4C2×H(5,𝔽2)12yes—
1782C2×C4C2×H(5,𝔽2)12yes—
1783C2×C4C2×H(5,𝔽2)12yes—
1784C2×C4C2×H(5,𝔽2)12yes—
1785C2×C4#58512yes—
1786C2×C4#58512yes—
1787C22—22no—
1788C22—22no—
1789C22—22no—
1790C22—22no—
1791C22—22no—
1792C22—22no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—42no—
1802C22—42no—
1803C22—44no—
1804C22—42no—
1805C22—42no—
1806C22—42no—
1807C22—42no—
1808C22—42no—
1809C22—44no—
1810C22—42no—
1811C22—44no—
1812C22—42no—
1813C22—42no—
1814C22—42no—
1815C22—42no—
1816C22—42no—
1817C22—44no—
1818C22—42no—
1819C22—42no—
1820C22—42no—
1821C22—42no—
1822C22—42no—
1823C22—44no—
1824C22—42no—
1825C22—42no—
1826C22—42no—
1827C22—44no—
1828C22—42no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—42no—
1833C22—44no—
1834C22—42no—
1835C22—42no—
1836C22—816no—
1837C22C22×H(5,𝔽2)11yescharacteristic
1838C22C22×H(5,𝔽2)11yescharacteristic
1839C22C22×H(5,𝔽2)11yescharacteristic
1840C22C2×#58511yescharacteristic
1841C22C2×#58511yescharacteristic
1842C22C2×#58511yescharacteristic
1843C22H(7,𝔽2)11yescharacteristic
1844C4—24no—
1845C4—22no—
1846C4—22no—
1847C4—41no—
1848C4—42no—
1849C4—41no—
1850C4—42no—
1851C4—42no—
1852C4—41no—
1853C4—42no—
1854C4—41no—
1855C4—44no—
1856C4—41no—
1857C4—44no—
1858C4—44no—
1859C4—42no—
1860C4—41no—
1861C4—42no—
1862C4—41no—
1863C4—41no—
1864C4—42no—
1865C4—42no—
1866C4—41no—
1867C4—42no—
1868C4—42no—
1869C4—42no—
1870C4#354214yes—
1871C4#354614yes—
1872C2—42no—
1873C2—42no—
1874C2—84no—
1875C2—82no—
1876C2—82no—
1877C2—82no—
1878C2—82no—
1879C2C2×#354211yescharacteristic
1880C2C2×#354611yescharacteristic
1881C2#6283011yescharacteristic
1882C2#6291611yescharacteristic
1883C2#6293711yescharacteristic
1884C2#6295711yescharacteristic
1885C2#6301811yescharacteristic
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. #59419C2semidirect
2. #59304C2semidirect
3. #59242C2semidirect
4. #56032C2semidirect
5. #54920C2semidirect
6. #54025C2semidirect
7. #53059C2semidirect
8. #52976C2semidirect
9. #49994C2semidirect
10. #45599C2semidirect
11. #45593C2semidirect
12. #45104C2semidirect
13. #45036C2semidirect
14. #42986C2semidirect
15. #42740C2semidirect
16. #42602C2semidirect
17. #42555C2semidirect
18. #39862C2semidirect
19. #39341C2semidirect
20. #39193C2semidirect
21. #39148C2semidirect
22. #39138C2semidirect
23. #39138C2semidirect
24. #37972C2semidirect
25. #37670C2semidirect
26. #37620C2semidirect
27. #37300C2semidirect
28. #37283C2semidirect
29. #36182C2semidirect
30. #36174C2semidirect
31. #36101C2semidirect
32. #35171C2semidirect
33. #35165C2semidirect
34. #34889C2semidirect
35. #34700C2semidirect
37. C2×#553C22semidirect
39. C2×#550C22semidirect
40. C2×#540C22semidirect
45. C2×#529C22semidirect
48. #2859C22semidirect
51. #2856C22semidirect
52. #2854C22semidirect
57. #2837C22semidirect
58. #2827C22semidirect
59. #2826C22semidirect
60. #2825C22semidirect
61. #2825C22semidirect
62. #2823C22semidirect
64. #2813C22semidirect
66. #2779C22semidirect
67. #2778C22semidirect
68. #2764C22semidirect
69. #2761C22semidirect
70. #2757C22semidirect
71. #2757C22semidirect
73. #2756C22semidirect
75. #2749C22semidirect
76. #2749C22semidirect
77. #2749C22semidirect
78. #2749C22semidirect
79. #2749C22semidirect
82. #2718C22semidirect
83. #2714C22semidirect
84. #2714C22semidirect
85. #2714C22semidirect
87. #2708C22semidirect
88. #2706C22semidirect
89. #2706C22semidirect
90. #2703C22semidirect
91. #2699C22semidirect
92. #2698C22semidirect
93. #2693C22semidirect
94. #2691C22semidirect
96. #2688C22semidirect
97. #2688C22semidirect
98. #2682C22semidirect
103. #2676C22semidirect
107. #2673C22semidirect
108. #2673C22semidirect
109. #2673C22semidirect
115. #2661C22semidirect
116. #2644C22semidirect
117. #2643C22semidirect
118. #2636C22semidirect
120. #2629C22semidirect
121. #2629C22semidirect
122. #2625C22semidirect
124. #2620C22semidirect
126. #2619C22semidirect
127. #2618C22semidirect
131. #2582C22semidirect
132. #2571C22semidirect
133. #2566C22semidirect
135. #2557C22semidirect
136. #2554C22semidirect
137. #2552C22semidirect
138. #2550C22semidirect
141. #2544C22semidirect
142. #2543C22semidirect
148. #2541C22semidirect
149. #2541C22semidirect
150. #2541C22semidirect
151. #2541C22semidirect
154. #2538C22semidirect
163. #2535C22semidirect
164. #2535C22semidirect
165. #2532C22semidirect
166. #2526C22semidirect
167. #2524C22semidirect
168. #2521C22semidirect
169. #2518C22semidirect
170. #2514C22semidirect
171. #2514C22semidirect
172. #2512C22semidirect
173. #2512C22semidirect
175. #2504C22semidirect
179. #2496C22semidirect
181. #2495C22semidirect
182. #2495C22semidirect
183. #2495C22semidirect
184. #2492C22semidirect
188. #2490C22semidirect
189. #2490C22semidirect
190. #2490C22semidirect
192. #2489C22semidirect
193. #2487C22semidirect
197. #2464C22semidirect
201. #2456C22semidirect
203. #2452C22semidirect
204. #2450C22semidirect
207. #2444C22semidirect
208. #2443C22semidirect
210. #2442C22semidirect
211. #2441C22semidirect
216. #2431C22semidirect
217. #2431C22semidirect
222. #2428C22semidirect
223. #2428C22semidirect
224. #2428C22semidirect
225. #2428C22semidirect
228. #2427C22semidirect
233. #2422C22semidirect
234. #2422C22semidirect
236. #2420C22semidirect
237. #2420C22semidirect
238. #2420C22semidirect
239. #2420C22semidirect
242. #2417C22semidirect
243. #2417C22semidirect
248. #2416C22semidirect
249. #2416C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
257. #2395C22semidirect
260. #2380C22semidirect
261. #2370C22semidirect
263. #2363C22semidirect
265. #2361C22semidirect
266. #2361C22semidirect
267. #2355C22semidirect
268. #2355C22semidirect
270. D4×C4⋊C4C22semidirect
271. D4×C4⋊C4C22semidirect
273. #2346C22semidirect
274. #2339C22semidirect
275. #2339C22semidirect
276. #2328C22semidirect
277. #2324C22semidirect
278. #2324C22semidirect
279. #2324C22semidirect
280. #2324C22semidirect
282. C4×#127C22semidirect
284. C4×#124C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
294. C2×#384C22semidirect
295. #2283C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#594192
#593042
#592422
#560322
#549202
#540252
#530592
#529762
#499942
#455992
#455932
#451042
#450362
#429862
#427402
#426022
#425552
#398622
#393412
#391932
#391482
#391382
#379722
#376702
#376202
#373002
#372832
#361822
#361742
#361012
#351712
#351652
#348892
#347002