Finite Group Databasebeta

← #8467127

Subgroups — #8467127

Order 512.

5439 conjugacy classes of subgroups.

The subgroup lattice has 1849 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59641C211yesmaximal, characteristic, complemented
2#59124C211yesmaximal, characteristic, complemented
3#59056C211yesmaximal, characteristic, complemented
4#56016C214yesmaximal, complemented
5#55396C214yesmaximal, complemented
6#55320C214yesmaximal, complemented
7#53115C212yesmaximal, complemented
8#53106C212yesmaximal, complemented
9#47930C214yesmaximal, complemented
10#45483C212yesmaximal, complemented
11#45483C212yesmaximal, complemented
12#45057C212yesmaximal, complemented
13#45006C212yesmaximal, complemented
14#42960C212yesmaximal, complemented
15#42890C212yesmaximal, complemented
16#42627C212yesmaximal, complemented
17#42566C212yesmaximal, complemented
18#40173C212yesmaximal, complemented
19#39960C212yesmaximal, complemented
20#39148C211yesmaximal, characteristic, complemented
21#39059C212yesmaximal, complemented
22#38985C211yesmaximal, characteristic, complemented
23#38931C211yesmaximal, characteristic, complemented
24#38922C211yesmaximal, characteristic, complemented
25#38061C212yesmaximal, complemented
26#37614C211yesmaximal, characteristic, complemented
27#37332C212yesmaximal, complemented
28#37290C212yesmaximal, complemented
29#36576C211yesmaximal, characteristic, complemented
30#36412C211yesmaximal, characteristic, complemented
31#36121C211yesmaximal, characteristic, complemented
32#35249C211yesmaximal, characteristic, complemented
33#35197C211yesmaximal, characteristic, complemented
34#34943C211yesmaximal, characteristic, complemented
35#34708C211yesmaximal, characteristic, complemented
36C2×#560C2214yes—
37C2×#559C2212yescomplemented
38C2×#555C2211yescharacteristic, complemented
39C2×#550C2211yescharacteristic
40C2×#548C2212yescomplemented
41C2×#546C2212yes—
42C2×#546C2212yes—
43C2×#532C2211yescharacteristic
44C22×#127C2211yescharacteristic
45C2×#529C2211yescharacteristic
46C22×C4×Q8C2211yescharacteristic, complemented
47#2858C2211yescharacteristic
48#2857C2211yescharacteristic
49#2856C2211yescharacteristic
50#2856C2212yescomplemented
51#2856C2212yescomplemented
52#2854C2212yescomplemented
53#2854C2212yescomplemented
54#2854C2212yescomplemented
55#2850C2212yescomplemented
56#2837C2214yescomplemented
57#2826C2214yescomplemented
58#2824C2214yescomplemented
59#2819C2214yescomplemented
60#2818C2214yes—
61#2816C2214yescomplemented
62#2813C2214yescomplemented
63#2813C2214yescomplemented
64#2797C2214yescomplemented
65#2779C2214yescomplemented
66#2758C2214yescomplemented
67#2756C2214yescomplemented
68#2753C2214yescomplemented
69#2752C2214yescomplemented
70#2749C2214yescomplemented
71#2749C2214yescomplemented
72#2749C2214yescomplemented
73#2743C2214yescomplemented
74#2736C2214yes—
75#2733C2214yescomplemented
76#2715C2214yescomplemented
77#2715C2214yescomplemented
78#2710C2214yescomplemented
79#2706C2214yescomplemented
80#2706C2214yescomplemented
81#2705C2214yescomplemented
82#2705C2214yescomplemented
83#2703C2214yescomplemented
84#2703C2214yescomplemented
85#2703C2214yescomplemented
86#2701C2214yescomplemented
87#2700C2214yescomplemented
88#2699C2214yescomplemented
89#2698C2214yes—
90#2696C2214yescomplemented
91#2696C2214yescomplemented
92#2696C2214yescomplemented
93#2693C2214yescomplemented
94#2688C2214yescomplemented
95#2688C2214yescomplemented
96#2688C2214yescomplemented
97#2686C2214yescomplemented
98#2685C2214yes—
99#2685C2214yes—
100#2684C2214yes—
101#2678C2214yes—
102#2678C2214yes—
103#2676C2214yescomplemented
104#2673C2214yes—
105#2673C2214yescomplemented
106#2673C2214yescomplemented
107#2673C2214yescomplemented
108#2672C2214yes—
109#2671C2214yescomplemented
110#2671C2214yescomplemented
111#2668C2214yes—
112#2668C2214yes—
113#2663C2214yescomplemented
114#2657C2212yes—
115#2649C2214yescomplemented
116#2648C2214yescomplemented
117#2647C2212yescomplemented
118#2644C2212yescomplemented
119#2644C2212yescomplemented
120#2641C2212yes—
121#2632C2214yescomplemented
122#2631C2214yescomplemented
123#2631C2214yescomplemented
124#2624C2212yescomplemented
125#2622C2214yes—
126#2619C2212yes—
127#2619C2212yes—
128#2613C2214yes—
129#2602C2214yescomplemented
130#2592C2212yescomplemented
131#2580C2212yescomplemented
132#2580C2212yescomplemented
133#2580C2212yescomplemented
134#2578C2214yescomplemented
135#2572C2212yes—
136#2572C2212yescomplemented
137#2571C2211yescharacteristic, complemented
138#2571C2211yescharacteristic, complemented
139#2570C2212yescomplemented
140#2567C2211yescharacteristic, complemented
141#2567C2211yescharacteristic, complemented
142#2563C2211yescharacteristic
143#2563C2211yescharacteristic, complemented
144#2561C2214yes—
145#2555C2214yescomplemented
146#2555C2214yescomplemented
147#2553C2214yescomplemented
148#2548C2211yescharacteristic
149#2548C2211yescharacteristic
150#2548C2211yescharacteristic
151#2548C2212yescomplemented
152#2544C2212yes—
153#2541C2211yescharacteristic
154#2541C2212yes—
155#2541C2211yescharacteristic
156#2541C2211yescharacteristic
157#2541C2212yescomplemented
158#2541C2212yescomplemented
159#2538C2212yescomplemented
160#2538C2211yescharacteristic, complemented
161#2538C2212yescomplemented
162#2537C2212yes—
163#2537C2211yescharacteristic
164#2535C2214yescomplemented
165#2535C2212yescomplemented
166#2518C2214yescomplemented
167#2518C2214yescomplemented
168#2513C2212yescomplemented
169#2512C2212yescomplemented
170#2512C2212yescomplemented
171#2508C2212yescomplemented
172#2504C2212yescomplemented
173#2501C2212yescomplemented
174#2501C2212yescomplemented
175#2500C2212yescomplemented
176#2496C2212yes—
177#2496C2212yes—
178#2495C2212yes—
179#2495C2211yescharacteristic
180#2495C2212yescomplemented
181#2495C2211yescharacteristic, complemented
182#2491C2212yescomplemented
183#2485C2212yes—
184#2481C2212yescomplemented
185#2480C2214yes—
186#2472C2214yes—
187#2469C2212yescomplemented
188#2458C2212yes—
189#2457C2214yescomplemented
190#2457C2214yescomplemented
191#2455C2214yescomplemented
192#2453C2211yescharacteristic, complemented
193#2452C2212yescomplemented
194#2448C2212yescomplemented
195#2448C2211yescharacteristic, complemented
196#2447C2212yescomplemented
197#2445C2212yes—
198#2445C2212yes—
199#2445C2212yes—
200#2445C2212yescomplemented
201#2445C2212yescomplemented
202#2443C2212yes—
203#2442C2211yescharacteristic, complemented
204#2441C2212yescomplemented
205#2436C2212yescomplemented
206#2436C2211yescharacteristic, complemented
207#2435C2212yes—
208#2435C2212yes—
209#2433C2212yes—
210#2433C2212yes—
211#2431C2212yes—
212#2431C2212yes—
213#2431C2212yescomplemented
214#2431C2214yescomplemented
215#2428C2212yes—
216#2428C2212yes—
217#2428C2212yes—
218#2428C2212yescomplemented
219#2428C2212yescomplemented
220#2428C2212yescomplemented
221#2428C2212yescomplemented
222#2428C2212yescomplemented
223#2427C2212yescomplemented
224#2427C2212yescomplemented
225#2426C2211yescharacteristic
226#2426C2214yescomplemented
227#2426C2212yescomplemented
228#2424C2214yes—
229#2422C2212yescomplemented
230#2421C2212yes—
231#2421C2211yescharacteristic
232#2420C2212yes—
233#2420C2211yescharacteristic
234#2420C2212yescomplemented
235#2420C2212yescomplemented
236#2420C2212yescomplemented
237#2420C2211yescharacteristic, complemented
238#2416C2212yes—
239#2416C2211yescharacteristic
240#2416C2214yescomplemented
241#2416C2212yescomplemented
242#2416C2212yescomplemented
243#2415C2212yes—
244#2414C2212yescomplemented
245#2414C2212yescomplemented
246#2412C2214yes—
247#2410C2214yes—
248#2409C2211yescharacteristic
249#2408C2212yes—
250#2408C2212yes—
251#2408C2212yes—
252#2408C2212yes—
253#2408C2212yes—
254#2406C2214yescomplemented
255#2398C2212yes—
256#2398C2212yes—
257#2398C2212yescomplemented
258#2396C2212yescomplemented
259#2369C2211yescharacteristic, complemented
260#2366C2211yescharacteristic
261#2363C2212yescomplemented
262#2363C2212yescomplemented
263#2363C2212yescomplemented
264#2363C2212yescomplemented
265#2361C2212yescomplemented
266Q8×C4⋊C4C2211yescharacteristic, complemented
267D4×C4⋊C4C2211yescharacteristic, complemented
268#2341C2212yescomplemented
269D4×C22⋊C4C2212yes—
270D4×C22⋊C4C2212yes—
271D4×C22⋊C4C2212yes—
272#2328C2212yescomplemented
273#2328C2212yescomplemented
274#2326C2212yescomplemented
275#2326C2212yescomplemented
276#2321C2214yes—
277#2320C2212yescomplemented
278#2319C2212yescomplemented
279#2319C2212yescomplemented
280#2316C2212yescomplemented
281C4×C4⋊Q8C2211yescharacteristic, complemented
282C4×#127C2211yescharacteristic
283C4×#124C2211yescharacteristic, complemented
284C4×C22⋊Q8C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2212yes—
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic, complemented
289C4×#121C2212yescomplemented
290C4×#121C2211yescharacteristic, complemented
291#2297C2212yescomplemented
292#2295C2211yescharacteristic, complemented
293#2290C2212yescomplemented
294#2283C2211yescharacteristic
295#2283C2212yescomplemented
296#2283C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×Q8C2311yescharacteristic
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305#560—416no—
306#559—48no—
307#555—44no—
308#550—44no—
309#548—48no—
310#546—48no—
311#546—48no—
312#532—44no—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×#127—44no—
316C2×#127C2311yescharacteristic
317C2×#127C2311yescharacteristic
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2314yes—
326#529—44no—
327C2×#126C2312yes—
328C2×#126C2314yes—
329C2×#126C2314yes—
330C2×#125C2311yescharacteristic
331C2×#124C2312yes—
332C2×#124C2311yescharacteristic
333C2×#124C2314yes—
334C2×#124C2314yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2311yescharacteristic
340C2×#124C2314yes—
341C2×#124C2312yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2312yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2314yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2311yescharacteristic
366C2×#121C2312yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2311yescharacteristic
381C2×#121C2311yescharacteristic
382C2×#121C2311yescharacteristic
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#120C2314yes—
389C2×#120C2314yes—
390C2×#120C2314yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C2×C4×Q8—44no—
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2311yescharacteristic
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2312yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2312yes—
427C22×C4⋊C4C2312yes—
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2311yescharacteristic
430C22×C22⋊C4C2314yes—
431C22×C22⋊C4C2314yes—
432C22×C42C2311yescharacteristic
433C22×C42C2311yescharacteristic
434C22×C42C2312yes—
435C22×C42C2312yes—
436#400C2312yes—
437#400C2314yes—
438#400C2314yes—
439#400C2312yes—
440#400C2314yes—
441#400C2312yes—
442#400C2312yes—
443#400C2314yes—
444#400C2312yes—
445#400C2314yes—
446#400C2312yes—
447#400C2312yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2312yes—
453#399C2314yes—
454#398C2312yes—
455#398C2314yes—
456#398C2314yes—
457#398C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2312yes—
475#397C2312yes—
476#397C2312yes—
477#397C2312yes—
478#397C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2312yes—
487#396C2312yes—
488#396C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2312yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2312yes—
510#394C2312yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2312yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2312yes—
520#394C2312yes—
521#394C2312yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#393C2312yes—
530#393C2314yes—
531#393C2312yes—
532#393C2314yes—
533#393C2312yes—
534#393C2312yes—
535#393C2312yes—
536#393C2312yes—
537#393C2314yes—
538#393C2314yes—
539#393C2312yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
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#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2311yescharacteristic
566#391C2311yescharacteristic
567#391C2311yescharacteristic
568#391C2312yes—
569#391C2314yes—
570#391C2311yescharacteristic
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2311yescharacteristic
576#390C2311yescharacteristic
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2314yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2311yescharacteristic
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2314yes—
595#390C2312yes—
596#390C2314yes—
597#390C2312yes—
598#390C2311yescharacteristic
599#390C2312yes—
600#390C2314yes—
601#390C2314yes—
602#390C2314yes—
603#390C2312yes—
604#390C2314yes—
605#390C2314yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2311yescharacteristic
619#389C2312yes—
620#389C2312yes—
621#389C2311yescharacteristic
622#389C2312yes—
623#389C2312yes—
624#389C2314yes—
625#389C2314yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2311yescharacteristic
630#389C2314yes—
631#389C2311yescharacteristic
632#389C2312yes—
633#389C2312yes—
634#389C2311yescharacteristic
635#389C2311yescharacteristic
636#389C2312yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2312yes—
642#388C2312yes—
643#388C2312yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2312yes—
661#388C2312yes—
662#388C2314yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#387C2314yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2312yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
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#386C2312yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2312yes—
713#386C2314yes—
714#386C2312yes—
715#386C2314yes—
716#386C2312yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2314yes—
726#385C2312yes—
727#385C2312yes—
728#384C2311yescharacteristic
729#384C2311yescharacteristic
730#384C2312yes—
731#384C2312yes—
732#384C2312yes—
733#383C2312yes—
734#383C2312yes—
735#383C2312yes—
736#383C2312yes—
737#383C2314yes—
738#382C2312yes—
739#382C2311yescharacteristic
740#382C2311yescharacteristic
741#382C2314yes—
742#382C2311yescharacteristic
743#382C2312yes—
744#382C2311yescharacteristic
745#382C2312yes—
746#382C2312yes—
747#382C2311yescharacteristic
748#381C2314yes—
749#381C2314yes—
750#381C2312yes—
751#381C2312yes—
752#381C2312yes—
753#381C2312yes—
754#381C2314yes—
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2314yes—
765#380C2314yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2312yes—
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2312yes—
776#379C2314yes—
777#379C2314yes—
778#379C2314yes—
779#379C2314yes—
780#379C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
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⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817#376C2312yes—
818#376C2312yes—
819#376C2312yes—
820C43C2311yescharacteristic
821C25C2414yes—
822C2×#41—28no—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—82no—
828C22×Q8—24no—
829C22×Q8—42no—
830C22×Q8—42no—
831C22×Q8C2411yescharacteristic
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×Q8C2412yes—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—82no—
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2412yes—
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2414yes—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2414yes—
885C23×C4C2414yes—
886C23×C4C2414yes—
887C23×C4C2414yes—
888C23×C4C2412yes—
889C4⋊Q8—24no—
890C4⋊Q8—42no—
891#127—24no—
892#127—24no—
893#127—44no—
894#127—44no—
895#127—44no—
896#127—44no—
897#127—44no—
898#127—44no—
899#127—44no—
900#127—48no—
901#126—44no—
902#126—48no—
903#126—48no—
904#125—42no—
905#124—28no—
906#124—24no—
907#124—44no—
908#124—48no—
909#124—44no—
910#124—42no—
911#124—44no—
912#124—48no—
913#124—44no—
914#124—48no—
915#124—82no—
916#123—48no—
917#123—48no—
918#123—48no—
919#123—48no—
920#123—44no—
921#123—48no—
922#123—48no—
923#123—48no—
924#123—84no—
925C22⋊Q8—24no—
926C22⋊Q8—44no—
927C22⋊Q8—42no—
928C22⋊Q8—44no—
929C22⋊Q8—48no—
930C22⋊Q8—84no—
931#121—28no—
932#121—28no—
933#121—48no—
934#121—48no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—42no—
940#121—44no—
941#121—44no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—42no—
946#121—42no—
947#121—44no—
948#121—42no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—48no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—48no—
959#121—84no—
960#121—84no—
961#121—84no—
962#120—216no—
963#120—48no—
964#120—48no—
965#120—48no—
966#120—84no—
967C4×Q8—28no—
968C4×Q8—24no—
969C4×Q8—24no—
970C4×Q8—44no—
971C4×Q8—44no—
972C4×Q8—44no—
973C4×Q8—42no—
974C4×Q8—42no—
975C4×D4—24no—
976C4×D4—24no—
977C4×D4—24no—
978C4×D4—44no—
979C4×D4—48no—
980C4×D4—44no—
981C4×D4—42no—
982C4×D4—44no—
983C4×D4—42no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—42no—
991C4×D4—44no—
992C4×D4—42no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—48no—
996C4×D4—44no—
997#117—44no—
998#117—44no—
999#117—44no—
1000C2×C4⋊C4—44no—
1001C2×C4⋊C4—42no—
1002C2×C4⋊C4—44no—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C22⋊C4—48no—
1055C2×C22⋊C4—48no—
1056C2×C22⋊C4C2411yescharacteristic
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2411yescharacteristic
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2411yescharacteristic
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C42—24no—
1133C2×C42—24no—
1134C2×C42—44no—
1135C2×C42—44no—
1136C2×C42C2411yescharacteristic
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2414yes—
1145C2×C42C2412yes—
1146C2×C42C2411yescharacteristic
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2412yes—
1153C2×C42C2411yescharacteristic
1154C2×C42C2414yes—
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2411yescharacteristic
1158C2×C42C2414yes—
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2411yescharacteristic
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2411yescharacteristic
1181#95C2411yescharacteristic
1182#95C2412yes—
1183#95C2411yescharacteristic
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2412yes—
1187#95C2411yescharacteristic
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2412yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222C24—28no—
1223C24—44no—
1224C24—44no—
1225C24—44no—
1226C24—44no—
1227C24—44no—
1228C24—44no—
1229C24C2514yes—
1230C24C2514yes—
1231C24C2512yes—
1232C24C2512yes—
1233C24C2511yescharacteristic
1234C24C2511yescharacteristic
1235#41—816no—
1236#41—816no—
1237C2×Q8—22no—
1238C2×Q8—22no—
1239C2×Q8—24no—
1240C2×Q8—22no—
1241C2×Q8—24no—
1242C2×Q8—22no—
1243C2×Q8—22no—
1244C2×Q8—42no—
1245C2×Q8—42no—
1246C2×Q8—42no—
1247C2×Q8—42no—
1248C2×Q8—42no—
1249C2×Q8—42no—
1250C2×Q8—42no—
1251C2×Q8—416no—
1252C2×Q8H(5,𝔽2)14yes—
1253C2×D4—28no—
1254C2×D4—28no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—28no—
1270C2×D4—24no—
1271C2×D4—22no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—22no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—22no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—42no—
1281C2×D4—41no—
1282C2×D4—41no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—44no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—44no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—42no—
1296C2×D4—44no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—42no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—42no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
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—816no—
1334C2×D4—816no—
1335C2×D4—816no—
1336C2×D4H(5,𝔽2)14yes—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—24no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—22no—
1350C22×C4—24no—
1351C22×C4—22no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—22no—
1355C22×C4—24no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—28no—
1362C22×C4—24no—
1363C22×C4—42no—
1364C22×C4—41no—
1365C22×C4—42no—
1366C22×C4—41no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—42no—
1374C22×C4—42no—
1375C22×C4—42no—
1376C22×C4—44no—
1377C22×C4—42no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4C2511yescharacteristic
1389C22×C4C2512yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2511yescharacteristic
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2511yescharacteristic
1399C22×C4C2512yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2512yes—
1402C22×C4C2511yescharacteristic
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2512yes—
1407C22×C4C2514yes—
1408C22×C4C2512yes—
1409C22×C4C2514yes—
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2511yescharacteristic
1413C22×C4C2512yes—
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C4⋊C4—24no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—24no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—22no—
1426C4⋊C4—24no—
1427C4⋊C4—22no—
1428C4⋊C4—28no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—22no—
1433C4⋊C4—24no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—44no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—41no—
1447C4⋊C4—41no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—44no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—42no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—42no—
1466C4⋊C4—44no—
1467C4⋊C4—42no—
1468C22⋊C4—22no—
1469C22⋊C4—28no—
1470C22⋊C4—22no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—28no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—28no—
1480C22⋊C4—28no—
1481C22⋊C4—28no—
1482C22⋊C4—24no—
1483C22⋊C4—24no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—41no—
1493C22⋊C4—41no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—41no—
1497C22⋊C4—41no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—42no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—42no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—42no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C42—22no—
1545C42—22no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—22no—
1550C42—24no—
1551C42—24no—
1552C42—22no—
1553C42—24no—
1554C42—28no—
1555C42—22no—
1556C42—24no—
1557C42—22no—
1558C42—24no—
1559C42—22no—
1560C42—24no—
1561C42—22no—
1562C42—42no—
1563C42—42no—
1564C42—42no—
1565C42—42no—
1566C42—44no—
1567C42—41no—
1568C42—44no—
1569C42H(5,𝔽2)14yes—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—22no—
1583C23—24no—
1584C23—22no—
1585C23—24no—
1586C23—22no—
1587C23—24no—
1588C23—22no—
1589C23—24no—
1590C23—22no—
1591C23—22no—
1592C23—24no—
1593C23—24no—
1594C23—22no—
1595C23—24no—
1596C23—24no—
1597C23—24no—
1598C23—24no—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—24no—
1603C23—22no—
1604C23—22no—
1605C23—24no—
1606C23—24no—
1607C23—22no—
1608C23—24no—
1609C23—22no—
1610C23—88no—
1611C23—88no—
1612C23—88no—
1613C23—88no—
1614C23—88no—
1615C23—164no—
1616C23—164no—
1617C23C2×H(5,𝔽2)12yes—
1618C23C2×H(5,𝔽2)12yes—
1619C23C2611yescharacteristic
1620Q8—28no—
1621Q8—48no—
1622Q8—44no—
1623Q8—84no—
1624Q8—84no—
1625D4—44no—
1626D4—48no—
1627D4—44no—
1628D4—48no—
1629D4—48no—
1630D4—44no—
1631D4—48no—
1632D4—48no—
1633D4—84no—
1634D4—88no—
1635D4—88no—
1636D4—84no—
1637D4—84no—
1638D4—84no—
1639D4—84no—
1640D4—88no—
1641D4—88no—
1642D4—88no—
1643D4—88no—
1644D4—88no—
1645D4—164no—
1646D4—164no—
1647D4—164no—
1648D4—164no—
1649D4—164no—
1650D4—164no—
1651D4—164no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—24no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—24no—
1680C2×C4—24no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—24no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—24no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—24no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—44no—
1731C2×C4—44no—
1732C2×C4—48no—
1733C2×C4—44no—
1734C2×C4—44no—
1735C2×C4—48no—
1736C2×C4—44no—
1737C2×C4—48no—
1738C2×C4—44no—
1739C2×C4—84no—
1740C2×C4—88no—
1741C2×C4—84no—
1742C2×C4—84no—
1743C2×C4—88no—
1744C2×C4—164no—
1745C2×C4—164no—
1746C2×C4—164no—
1747C2×C4C2×H(5,𝔽2)12yes—
1748C2×C4C2×H(5,𝔽2)14yes—
1749C2×C4C2×H(5,𝔽2)12yes—
1750C2×C4C2×H(5,𝔽2)12yes—
1751C2×C4C2×H(5,𝔽2)12yes—
1752C2×C4C2×H(5,𝔽2)12yes—
1753C2×C4#58512yes—
1754C2×C4#58512yes—
1755C2×C4#58512yes—
1756C22—22no—
1757C22—22no—
1758C22—22no—
1759C22—22no—
1760C22—22no—
1761C22—22no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—41no—
1769C22—41no—
1770C22—42no—
1771C22—44no—
1772C22—44no—
1773C22—42no—
1774C22—42no—
1775C22—44no—
1776C22—42no—
1777C22—44no—
1778C22—42no—
1779C22—42no—
1780C22—44no—
1781C22—44no—
1782C22—44no—
1783C22—44no—
1784C22—42no—
1785C22—42no—
1786C22—44no—
1787C22—42no—
1788C22—44no—
1789C22—42no—
1790C22—42no—
1791C22—42no—
1792C22—44no—
1793C22—44no—
1794C22—42no—
1795C22—44no—
1796C22—44no—
1797C22—42no—
1798C22—1616no—
1799C22C22×H(5,𝔽2)11yescharacteristic
1800C22C22×H(5,𝔽2)11yescharacteristic
1801C22C22×H(5,𝔽2)11yescharacteristic
1802C22C2×#58511yescharacteristic
1803C22C2×#58511yescharacteristic
1804C22C2×#58511yescharacteristic
1805C22H(7,𝔽2)11yescharacteristic
1806C4—22no—
1807C4—22no—
1808C4—24no—
1809C4—41no—
1810C4—42no—
1811C4—41no—
1812C4—41no—
1813C4—42no—
1814C4—44no—
1815C4—42no—
1816C4—42no—
1817C4—42no—
1818C4—41no—
1819C4—41no—
1820C4—42no—
1821C4—44no—
1822C4—42no—
1823C4—42no—
1824C4—42no—
1825C4—42no—
1826C4—41no—
1827C4—41no—
1828C4—42no—
1829C4—42no—
1830C4—41no—
1831C4—41no—
1832C4—42no—
1833C4#354214yes—
1834C4#356214yes—
1835C2—42no—
1836C2—42no—
1837C2—82no—
1838C2—82no—
1839C2—84no—
1840C2—84no—
1841C2C2×#354211yescharacteristic
1842C2C2×#356211yescharacteristic
1843C2#6282211yescharacteristic
1844C2#6291211yescharacteristic
1845C2#6292311yescharacteristic
1846C2#6296611yescharacteristic
1847C2#6301411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59641C2semidirect
2. #59124C2semidirect
3. #59056C2semidirect
4. #56016C2semidirect
5. #55396C2semidirect
6. #55320C2semidirect
7. #53115C2semidirect
8. #53106C2semidirect
9. #47930C2semidirect
10. #45483C2semidirect
11. #45483C2semidirect
12. #45057C2semidirect
13. #45006C2semidirect
14. #42960C2semidirect
15. #42890C2semidirect
16. #42627C2semidirect
17. #42566C2semidirect
18. #40173C2semidirect
19. #39960C2semidirect
20. #39148C2semidirect
21. #39059C2semidirect
22. #38985C2semidirect
23. #38931C2semidirect
24. #38922C2semidirect
25. #38061C2semidirect
26. #37614C2semidirect
27. #37332C2semidirect
28. #37290C2semidirect
29. #36576C2semidirect
30. #36412C2semidirect
31. #36121C2semidirect
32. #35249C2semidirect
33. #35197C2semidirect
34. #34943C2semidirect
35. #34708C2semidirect
37. C2×#559C22semidirect
38. C2×#555C22semidirect
40. C2×#548C22semidirect
46. C22×C4×Q8C22semidirect
50. #2856C22semidirect
51. #2856C22semidirect
52. #2854C22semidirect
53. #2854C22semidirect
54. #2854C22semidirect
55. #2850C22semidirect
56. #2837C22semidirect
57. #2826C22semidirect
58. #2824C22semidirect
59. #2819C22semidirect
61. #2816C22semidirect
62. #2813C22semidirect
63. #2813C22semidirect
64. #2797C22semidirect
65. #2779C22semidirect
66. #2758C22semidirect
67. #2756C22semidirect
68. #2753C22semidirect
69. #2752C22semidirect
70. #2749C22semidirect
71. #2749C22semidirect
72. #2749C22semidirect
73. #2743C22semidirect
75. #2733C22semidirect
76. #2715C22semidirect
77. #2715C22semidirect
78. #2710C22semidirect
79. #2706C22semidirect
80. #2706C22semidirect
81. #2705C22semidirect
82. #2705C22semidirect
83. #2703C22semidirect
84. #2703C22semidirect
85. #2703C22semidirect
86. #2701C22semidirect
87. #2700C22semidirect
88. #2699C22semidirect
90. #2696C22semidirect
91. #2696C22semidirect
92. #2696C22semidirect
93. #2693C22semidirect
94. #2688C22semidirect
95. #2688C22semidirect
96. #2688C22semidirect
97. #2686C22semidirect
103. #2676C22semidirect
105. #2673C22semidirect
106. #2673C22semidirect
107. #2673C22semidirect
109. #2671C22semidirect
110. #2671C22semidirect
113. #2663C22semidirect
115. #2649C22semidirect
116. #2648C22semidirect
117. #2647C22semidirect
118. #2644C22semidirect
119. #2644C22semidirect
121. #2632C22semidirect
122. #2631C22semidirect
123. #2631C22semidirect
124. #2624C22semidirect
129. #2602C22semidirect
130. #2592C22semidirect
131. #2580C22semidirect
132. #2580C22semidirect
133. #2580C22semidirect
134. #2578C22semidirect
136. #2572C22semidirect
137. #2571C22semidirect
138. #2571C22semidirect
139. #2570C22semidirect
140. #2567C22semidirect
141. #2567C22semidirect
143. #2563C22semidirect
145. #2555C22semidirect
146. #2555C22semidirect
147. #2553C22semidirect
151. #2548C22semidirect
157. #2541C22semidirect
158. #2541C22semidirect
159. #2538C22semidirect
160. #2538C22semidirect
161. #2538C22semidirect
164. #2535C22semidirect
165. #2535C22semidirect
166. #2518C22semidirect
167. #2518C22semidirect
168. #2513C22semidirect
169. #2512C22semidirect
170. #2512C22semidirect
171. #2508C22semidirect
172. #2504C22semidirect
173. #2501C22semidirect
174. #2501C22semidirect
175. #2500C22semidirect
180. #2495C22semidirect
181. #2495C22semidirect
182. #2491C22semidirect
184. #2481C22semidirect
187. #2469C22semidirect
189. #2457C22semidirect
190. #2457C22semidirect
191. #2455C22semidirect
192. #2453C22semidirect
193. #2452C22semidirect
194. #2448C22semidirect
195. #2448C22semidirect
196. #2447C22semidirect
200. #2445C22semidirect
201. #2445C22semidirect
203. #2442C22semidirect
204. #2441C22semidirect
205. #2436C22semidirect
206. #2436C22semidirect
213. #2431C22semidirect
214. #2431C22semidirect
218. #2428C22semidirect
219. #2428C22semidirect
220. #2428C22semidirect
221. #2428C22semidirect
222. #2428C22semidirect
223. #2427C22semidirect
224. #2427C22semidirect
226. #2426C22semidirect
227. #2426C22semidirect
229. #2422C22semidirect
234. #2420C22semidirect
235. #2420C22semidirect
236. #2420C22semidirect
237. #2420C22semidirect
240. #2416C22semidirect
241. #2416C22semidirect
242. #2416C22semidirect
244. #2414C22semidirect
245. #2414C22semidirect
254. #2406C22semidirect
257. #2398C22semidirect
258. #2396C22semidirect
259. #2369C22semidirect
261. #2363C22semidirect
262. #2363C22semidirect
263. #2363C22semidirect
264. #2363C22semidirect
265. #2361C22semidirect
266. Q8×C4⋊C4C22semidirect
267. D4×C4⋊C4C22semidirect
268. #2341C22semidirect
272. #2328C22semidirect
273. #2328C22semidirect
274. #2326C22semidirect
275. #2326C22semidirect
277. #2320C22semidirect
278. #2319C22semidirect
279. #2319C22semidirect
280. #2316C22semidirect
281. C4×C4⋊Q8C22semidirect
283. C4×#124C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. #2297C22semidirect
292. #2295C22semidirect
293. #2290C22semidirect
295. #2283C22semidirect
296. #2283C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#596412
#591242
#590562
#560162
#553962
#553202
#531152
#531062
#479302
#454832
#450572
#450062
#429602
#428902
#426272
#425662
#401732
#399602
#391482
#390592
#389852
#389312
#389222
#380612
#376142
#373322
#372902
#365762
#364122
#361212
#352492
#351972
#349432
#347082