Finite Group Databasebeta

← #8466870

Subgroups — #8466870

Order 512.

5020 conjugacy classes of subgroups.

The subgroup lattice has 1813 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59411C211yesmaximal, characteristic, complemented
2#59262C211yesmaximal, characteristic, complemented
3#59211C211yesmaximal, characteristic, complemented
4#57544C214yesmaximal, complemented
5#56106C214yesmaximal, complemented
6#55551C214yesmaximal, complemented
7#53102C212yesmaximal, complemented
8#53062C212yesmaximal, complemented
9#49056C214yesmaximal, complemented
10#45647C212yesmaximal, complemented
11#45508C212yesmaximal, complemented
12#45234C212yesmaximal, complemented
13#45045C212yesmaximal, complemented
14#42880C212yesmaximal, complemented
15#42759C212yesmaximal, complemented
16#42730C212yesmaximal, complemented
17#42557C212yesmaximal, complemented
18#40144C212yesmaximal, complemented
19#39861C212yesmaximal, complemented
20#39823C212yesmaximal, complemented
21#39379C211yesmaximal, characteristic, complemented
22#39194C211yesmaximal, characteristic, complemented
23#39137C211yesmaximal, characteristic, complemented
24#39137C211yesmaximal, characteristic, complemented
25#37671C212yesmaximal, complemented
26#37626C211yesmaximal, characteristic, complemented
27#37318C212yesmaximal, complemented
28#37283C212yesmaximal, complemented
29#36455C211yesmaximal, characteristic, complemented
30#36211C211yesmaximal, characteristic, complemented
31#36101C211yesmaximal, characteristic, complemented
32#35236C211yesmaximal, characteristic, complemented
33#35189C211yesmaximal, characteristic, complemented
34#34724C211yesmaximal, characteristic, complemented
35#34700C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic, complemented
37C2×#550C2211yescharacteristic
38C2×#550C2212yescomplemented
39C2×#541C2212yescomplemented
40C2×#529C2211yescharacteristic
41C2×#529C2211yescharacteristic
42C2×#525C2212yes—
43C2×C4×#41C2211yescharacteristic, complemented
44C22×C4×D4C2211yescharacteristic
45#2859C2211yescharacteristic, complemented
46#2856C2211yescharacteristic
47#2856C2212yes—
48#2856C2211yescharacteristic, complemented
49#2851C2212yescomplemented
50#2850C2212yes—
51#2848C2212yes—
52#2847C2212yes—
53#2847C2212yes—
54#2837C2214yescomplemented
55#2829C2214yes—
56#2829C2214yescomplemented
57#2828C2214yes—
58#2828C2214yescomplemented
59#2818C2214yes—
60#2813C2214yes—
61#2812C2214yes—
62#2801C2214yescomplemented
63#2800C2214yescomplemented
64#2800C2214yescomplemented
65#2797C2214yes—
66#2797C2214yescomplemented
67#2796C2214yescomplemented
68#2796C2214yescomplemented
69#2779C2214yescomplemented
70#2778C2214yescomplemented
71#2769C2214yescomplemented
72#2757C2214yescomplemented
73#2756C2214yes—
74#2756C2214yes—
75#2756C2214yescomplemented
76#2752C2214yes—
77#2749C2214yescomplemented
78#2749C2214yescomplemented
79#2749C2214yescomplemented
80#2747C2214yescomplemented
81#2746C2214yes—
82#2743C2214yescomplemented
83#2738C2214yescomplemented
84#2725C2214yescomplemented
85#2725C2214yescomplemented
86#2714C2214yes—
87#2714C2214yescomplemented
88#2711C2214yescomplemented
89#2711C2214yescomplemented
90#2711C2214yescomplemented
91#2711C2214yescomplemented
92#2709C2214yescomplemented
93#2708C2214yes—
94#2708C2214yescomplemented
95#2708C2214yescomplemented
96#2707C2214yescomplemented
97#2705C2214yescomplemented
98#2705C2214yescomplemented
99#2701C2214yescomplemented
100#2699C2214yes—
101#2694C2214yescomplemented
102#2694C2214yescomplemented
103#2685C2214yes—
104#2685C2214yes—
105#2682C2214yes—
106#2682C2214yescomplemented
107#2678C2214yes—
108#2678C2214yes—
109#2669C2214yes—
110#2668C2214yes—
111#2651C2214yescomplemented
112#2648C2214yescomplemented
113#2641C2214yescomplemented
114#2636C2214yes—
115#2635C2214yes—
116#2635C2214yescomplemented
117#2633C2214yescomplemented
118#2630C2214yescomplemented
119#2629C2212yescomplemented
120#2624C2212yes—
121#2624C2212yescomplemented
122#2624C2212yescomplemented
123#2620C2212yescomplemented
124#2620C2212yescomplemented
125#2619C2212yes—
126#2619C2212yescomplemented
127#2611C2214yes—
128#2603C2214yescomplemented
129#2601C2214yescomplemented
130#2600C2214yescomplemented
131#2582C2211yescharacteristic, complemented
132#2571C2211yescharacteristic, complemented
133#2570C2212yescomplemented
134#2562C2212yes—
135#2548C2212yes—
136#2548C2212yescomplemented
137#2544C2212yes—
138#2543C2214yescomplemented
139#2541C2211yescharacteristic
140#2541C2212yes—
141#2541C2211yescharacteristic, complemented
142#2540C2212yes—
143#2540C2212yes—
144#2540C2212yescomplemented
145#2538C2211yescharacteristic
146#2538C2211yescharacteristic
147#2538C2211yescharacteristic
148#2538C2211yescharacteristic, complemented
149#2537C2211yescharacteristic
150#2537C2212yes—
151#2537C2211yescharacteristic
152#2537C2212yescomplemented
153#2537C2212yescomplemented
154#2536C2212yescomplemented
155#2535C2212yes—
156#2526C2214yescomplemented
157#2526C2214yescomplemented
158#2525C2214yescomplemented
159#2513C2212yes—
160#2513C2212yescomplemented
161#2513C2212yescomplemented
162#2512C2212yes—
163#2512C2212yes—
164#2510C2214yescomplemented
165#2506C2212yescomplemented
166#2506C2212yescomplemented
167#2506C2212yescomplemented
168#2506C2212yescomplemented
169#2500C2212yes—
170#2500C2212yescomplemented
171#2495C2212yes—
172#2495C2212yes—
173#2495C2212yescomplemented
174#2494C2212yescomplemented
175#2494C2212yescomplemented
176#2493C2214yescomplemented
177#2490C2212yes—
178#2490C2214yescomplemented
179#2490C2212yescomplemented
180#2490C2212yescomplemented
181#2487C2212yes—
182#2485C2212yescomplemented
183#2485C2212yescomplemented
184#2480C2212yes—
185#2478C2212yescomplemented
186#2470C2212yes—
187#2468C2212yes—
188#2468C2214yescomplemented
189#2466C2214yescomplemented
190#2466C2212yescomplemented
191#2460C2214yes—
192#2457C2212yes—
193#2456C2214yes—
194#2455C2212yes—
195#2454C2214yes—
196#2454C2211yescharacteristic
197#2454C2212yescomplemented
198#2454C2212yescomplemented
199#2453C2211yescharacteristic, complemented
200#2447C2211yescharacteristic
201#2447C2211yescharacteristic, complemented
202#2447C2212yescomplemented
203#2445C2212yes—
204#2445C2212yes—
205#2442C2211yescharacteristic
206#2441C2212yescomplemented
207#2441C2211yescharacteristic, complemented
208#2435C2211yescharacteristic
209#2433C2212yes—
210#2432C2212yescomplemented
211#2432C2211yescharacteristic, complemented
212#2429C2211yescharacteristic
213#2428C2212yes—
214#2428C2212yes—
215#2428C2212yes—
216#2428C2212yescomplemented
217#2428C2212yescomplemented
218#2428C2214yescomplemented
219#2427C2211yescharacteristic
220#2427C2212yescomplemented
221#2426C2212yes—
222#2426C2212yes—
223#2426C2212yescomplemented
224#2425C2214yescomplemented
225#2424C2214yes—
226#2423C2212yes—
227#2423C2212yes—
228#2422C2211yescharacteristic
229#2422C2212yescomplemented
230#2421C2212yescomplemented
231#2421C2212yescomplemented
232#2420C2212yes—
233#2420C2211yescharacteristic
234#2420C2212yescomplemented
235#2420C2212yescomplemented
236#2420C2212yescomplemented
237#2418C2212yes—
238#2417C2211yescharacteristic
239#2415C2211yescharacteristic
240#2415C2212yescomplemented
241#2414C2212yes—
242#2414C2212yes—
243#2414C2212yes—
244#2414C2212yes—
245#2414C2214yescomplemented
246#2414C2212yescomplemented
247#2411C2214yes—
248#2408C2212yes—
249#2408C2211yescharacteristic
250#2407C2212yes—
251#2407C2211yescharacteristic
252#2407C2212yescomplemented
253#2395C2212yes—
254#2395C2212yescomplemented
255#2392C2212yes—
256#2392C2212yes—
257#2375C2214yes—
258#2366C2212yes—
259#2363C2212yes—
260#2363C2212yescomplemented
261#2362C2212yescomplemented
262#2361C2212yes—
263#2357C2212yescomplemented
264#2356C2212yescomplemented
265#2356C2212yescomplemented
266#2354C2211yescharacteristic
267Q8×C4⋊C4C2211yescharacteristic, complemented
268Q8×C4⋊C4C2211yescharacteristic, complemented
269Q8×C4⋊C4C2211yescharacteristic, complemented
270#2349C2212yescomplemented
271#2347C2212yescomplemented
272#2341C2212yescomplemented
273#2339C2212yescomplemented
274#2325C2214yes—
275#2324C2212yes—
276#2324C2212yes—
277#2324C2212yescomplemented
278#2324C2212yescomplemented
279#2324C2212yescomplemented
280#2323C2212yescomplemented
281#2323C2212yescomplemented
282C4×C4⋊Q8C2211yescharacteristic, complemented
283C4×#127C2211yescharacteristic, complemented
284C4×#124C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic, complemented
288C4×#123C2212yes—
289C4×#121C2211yescharacteristic
290C4×#121C2212yescomplemented
291C4×#120C2212yes—
292#2296C2212yescomplemented
293#2293C2211yescharacteristic
294#2293C2211yescharacteristic, complemented
295#2285C2211yescharacteristic
296#2285C2211yescharacteristic, complemented
297#2280C2212yes—
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#559—44no—
304#550—44no—
305#550—48no—
306#541—48no—
307C2×C4⋊Q8C2311yescharacteristic
308C2×#127C2311yescharacteristic
309C2×#127C2314yes—
310C2×#127C2312yes—
311C2×#127C2312yes—
312C2×#127C2312yes—
313#529—44no—
314#529—44no—
315C2×#126C2314yes—
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2312yes—
322C2×#125C2314yes—
323C2×#125C2314yes—
324C2×#125C2314yes—
325C2×#124C2311yescharacteristic
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329C2×#124C2311yescharacteristic
330#525—48no—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2314yes—
352C2×#121C2311yescharacteristic
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2311yescharacteristic
365C2×#121C2311yescharacteristic
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#120C2314yes—
372C2×#120C2312yes—
373C2×#120C2314yes—
374C2×#120C2314yes—
375C4×#41—44no—
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2311yescharacteristic
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×D4—44no—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2311yescharacteristic
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×#117C2312yes—
410C2×#117C2312yes—
411C2×#117C2312yes—
412C2×#117C2312yes—
413C2×#117C2312yes—
414C2×#117C2312yes—
415C2×#117C2312yes—
416C2×#117C2311yescharacteristic
417C2×#117C2312yes—
418C22×C4⋊C4C2311yescharacteristic
419C22×C22⋊C4C2312yes—
420C22×C42C2311yescharacteristic
421C22×C42C2311yescharacteristic
422C22×C42C2312yes—
423#401C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2312yes—
431#400C2312yes—
432#400C2314yes—
433#399C2314yes—
434#399C2312yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2312yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2312yes—
447#398C2312yes—
448#398C2312yes—
449#398C2312yes—
450#398C2314yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2312yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2312yes—
466#397C2312yes—
467#397C2312yes—
468#397C2312yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2312yes—
478#396C2312yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2312yes—
488#396C2312yes—
489#394C2314yes—
490#394C2312yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2312yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2312yes—
506#394C2314yes—
507#394C2314yes—
508#394C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2312yes—
522#394C2314yes—
523#394C2314yes—
524#394C2312yes—
525#394C2312yes—
526#394C2312yes—
527#394C2314yes—
528#394C2312yes—
529#394C2312yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#392C2312yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2312yes—
547#392C2314yes—
548#392C2314yes—
549#391C2311yescharacteristic
550#391C2311yescharacteristic
551#391C2311yescharacteristic
552#391C2312yes—
553#391C2312yes—
554#391C2311yescharacteristic
555#391C2311yescharacteristic
556#391C2311yescharacteristic
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2314yes—
561#390C2314yes—
562#390C2314yes—
563#390C2314yes—
564#390C2314yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2314yes—
571#390C2314yes—
572#390C2312yes—
573#390C2314yes—
574#390C2312yes—
575#390C2314yes—
576#390C2311yescharacteristic
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2314yes—
582#390C2312yes—
583#390C2312yes—
584#390C2314yes—
585#390C2311yescharacteristic
586#390C2311yescharacteristic
587#390C2314yes—
588#390C2311yescharacteristic
589#390C2314yes—
590#390C2314yes—
591#390C2314yes—
592#390C2314yes—
593#390C2311yescharacteristic
594#390C2311yescharacteristic
595#389C2312yes—
596#389C2312yes—
597#389C2311yescharacteristic
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2314yes—
602#389C2314yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2314yes—
615#389C2314yes—
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2314yes—
620#389C2311yescharacteristic
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2311yescharacteristic
624#389C2312yes—
625#389C2311yescharacteristic
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2312yes—
634#388C2312yes—
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#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2312yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2314yes—
663#388C2312yes—
664#388C2314yes—
665#388C2312yes—
666#388C2312yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2312yes—
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#386C2312yes—
704#386C2312yes—
705#386C2312yes—
706#386C2312yes—
707#386C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2312yes—
714#385C2314yes—
715#385C2314yes—
716#385C2312yes—
717#385C2312yes—
718#385C2312yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2312yes—
723#385C2312yes—
724#385C2314yes—
725#385C2312yes—
726#385C2312yes—
727#385C2312yes—
728#385C2312yes—
729#385C2312yes—
730#384C2311yescharacteristic
731#384C2311yescharacteristic
732#384C2312yes—
733#384C2311yescharacteristic
734#384C2312yes—
735#384C2311yescharacteristic
736#384C2312yes—
737#383C2314yes—
738#383C2314yes—
739#383C2314yes—
740#382C2312yes—
741#382C2312yes—
742#382C2312yes—
743#382C2312yes—
744#382C2311yescharacteristic
745#382C2312yes—
746#381C2314yes—
747#381C2314yes—
748#381C2314yes—
749#381C2312yes—
750#381C2312yes—
751#381C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2314yes—
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2312yes—
764#380C2314yes—
765#380C2311yescharacteristic
766#380C2314yes—
767#380C2312yes—
768#380C2311yescharacteristic
769#380C2312yes—
770#380C2312yes—
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2314yes—
777#379C2314yes—
778#379C2312yes—
779#379C2312yes—
780#379C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2314yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816#376C2314yes—
817C2×#95C2314yes—
818C43C2311yescharacteristic
819C25C2412yes—
820C2×#41—24no—
821C2×#41—28no—
822C2×#41—42no—
823C2×#41—42no—
824C2×#41—44no—
825C2×#41—44no—
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2411yescharacteristic
829C22×D4—42no—
830C22×D4—42no—
831C22×D4—42no—
832C22×D4C2412yes—
833C22×D4C2411yescharacteristic
834C22×D4C2412yes—
835C22×D4C2411yescharacteristic
836C22×D4C2411yescharacteristic
837C22×D4C2411yescharacteristic
838C22×D4C2412yes—
839C22×D4C2414yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2414yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C23×C4—44no—
855C23×C4—44no—
856C23×C4—44no—
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2414yes—
867C23×C4C2411yescharacteristic
868C23×C4C2412yes—
869C23×C4C2412yes—
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2412yes—
873C23×C4C2412yes—
874C4⋊Q8—24no—
875#127—24no—
876#127—44no—
877#127—44no—
878#127—44no—
879#127—48no—
880#126—44no—
881#126—44no—
882#126—48no—
883#126—48no—
884#125—42no—
885#125—42no—
886#125—44no—
887#125—48no—
888#125—48no—
889#125—84no—
890#124—42no—
891#124—42no—
892#124—42no—
893#124—44no—
894#124—44no—
895#123—44no—
896#123—44no—
897#123—44no—
898#123—48no—
899#123—48no—
900#123—84no—
901C22⋊Q8—24no—
902C22⋊Q8—28no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8—42no—
906C22⋊Q8—42no—
907C22⋊Q8—42no—
908C22⋊Q8—42no—
909C22⋊Q8—44no—
910#121—48no—
911#121—48no—
912#121—44no—
913#121—44no—
914#121—44no—
915#121—44no—
916#121—44no—
917#121—42no—
918#121—44no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—42no—
924#121—42no—
925#121—44no—
926#121—44no—
927#121—44no—
928#121—48no—
929#121—48no—
930#121—44no—
931#121—84no—
932#121—82no—
933#121—84no—
934#121—84no—
935#120—48no—
936#120—48no—
937#120—44no—
938#120—84no—
939C4×Q8—28no—
940C4×Q8—24no—
941C4×Q8—24no—
942C4×Q8—24no—
943C4×Q8—44no—
944C4×Q8—42no—
945C4×Q8—44no—
946C4×D4—24no—
947C4×D4—24no—
948C4×D4—24no—
949C4×D4—44no—
950C4×D4—42no—
951C4×D4—42no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—42no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—42no—
960C4×D4—42no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—48no—
966C4×D4—44no—
967C4×D4—48no—
968C4×D4—48no—
969C4×D4—42no—
970C4×D4—82no—
971#117—44no—
972#117—44no—
973#117—44no—
974#117—44no—
975#117—44no—
976#117—44no—
977#117—42no—
978#117—44no—
979#117—82no—
980C2×C4⋊C4—42no—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C22⋊C4—44no—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2411yescharacteristic
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C42—24no—
1121C2×C42—24no—
1122C2×C42—44no—
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125C2×C42C2411yescharacteristic
1126C2×C42C2411yescharacteristic
1127C2×C42C2411yescharacteristic
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2412yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2414yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2412yes—
1140C2×C42C2414yes—
1141C2×C42C2414yes—
1142C2×C42C2414yes—
1143C2×C42C2411yescharacteristic
1144C2×C42C2412yes—
1145C2×C42C2411yescharacteristic
1146C2×C42C2414yes—
1147C2×C42C2414yes—
1148C2×C42C2411yescharacteristic
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2411yescharacteristic
1158#95C2412yes—
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205C24—24no—
1206C24—42no—
1207C24—42no—
1208C24—42no—
1209C24—42no—
1210C24—42no—
1211C24—42no—
1212C24C2512yes—
1213C24C2512yes—
1214C24C2512yes—
1215C24C2511yescharacteristic
1216C24C2514yes—
1217C24C2511yescharacteristic
1218#41—416no—
1219#41—816no—
1220C2×Q8—22no—
1221C2×Q8—22no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—22no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8H(5,𝔽2)14yes—
1229C2×D4—22no—
1230C2×D4—28no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—22no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—28no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—22no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—44no—
1263C2×D4—42no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—42no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—42no—
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—
1294C2×D4—44no—
1295C2×D4—416no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—24no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—22no—
1319C22×C4—24no—
1320C22×C4—22no—
1321C22×C4—28no—
1322C22×C4—42no—
1323C22×C4—41no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—44no—
1332C22×C4—41no—
1333C22×C4—41no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—816no—
1348C22×C4C2511yescharacteristic
1349C22×C4C2512yes—
1350C22×C4C2511yescharacteristic
1351C22×C4C2512yes—
1352C22×C4C2514yes—
1353C22×C4C2511yescharacteristic
1354C22×C4C2511yescharacteristic
1355C22×C4C2512yes—
1356C22×C4C2511yescharacteristic
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2512yes—
1363C22×C4C2514yes—
1364C22×C4C2512yes—
1365C22×C4C2514yes—
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2511yescharacteristic
1370C22×C4C2511yescharacteristic
1371C22×C4C2511yescharacteristic
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—24no—
1382C4⋊C4—22no—
1383C4⋊C4—24no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—24no—
1387C4⋊C4—28no—
1388C4⋊C4—24no—
1389C4⋊C4—28no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—42no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—41no—
1414C4⋊C4—41no—
1415C4⋊C4—41no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—42no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—42no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—42no—
1430C4⋊C4—44no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C22⋊C4—22no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—28no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—42no—
1453C22⋊C4—42no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—42no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—41no—
1464C22⋊C4—41no—
1465C22⋊C4—44no—
1466C22⋊C4—41no—
1467C22⋊C4—41no—
1468C22⋊C4—41no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—44no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—44no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—42no—
1511C22⋊C4—44no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C42—22no—
1516C42—22no—
1517C42—22no—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—24no—
1522C42—22no—
1523C42—24no—
1524C42—24no—
1525C42—24no—
1526C42—28no—
1527C42—22no—
1528C42—24no—
1529C42—22no—
1530C42—22no—
1531C42—42no—
1532C42—42no—
1533C42—44no—
1534C42—44no—
1535C42—44no—
1536C42—41no—
1537C42—41no—
1538C42—44no—
1539C42—44no—
1540C42H(5,𝔽2)14yes—
1541C23—21no—
1542C23—21no—
1543C23—21no—
1544C23—21no—
1545C23—21no—
1546C23—21no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—21no—
1552C23—24no—
1553C23—22no—
1554C23—24no—
1555C23—21no—
1556C23—22no—
1557C23—21no—
1558C23—21no—
1559C23—24no—
1560C23—22no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—24no—
1568C23—22no—
1569C23—24no—
1570C23—22no—
1571C23—22no—
1572C23—21no—
1573C23—21no—
1574C23—24no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—24no—
1580C23—21no—
1581C23—22no—
1582C23—48no—
1583C23—84no—
1584C23—84no—
1585C23—84no—
1586C23—84no—
1587C23—84no—
1588C23—84no—
1589C23#58512yes—
1590C23C2611yescharacteristic
1591Q8—28no—
1592Q8—44no—
1593Q8—44no—
1594D4—48no—
1595D4—44no—
1596D4—48no—
1597D4—48no—
1598D4—44no—
1599D4—44no—
1600D4—44no—
1601D4—48no—
1602D4—84no—
1603D4—88no—
1604D4—88no—
1605D4—84no—
1606D4—88no—
1607D4—84no—
1608D4—88no—
1609D4—84no—
1610D4—164no—
1611D4—164no—
1612D4—164no—
1613D4—164no—
1614D4—164no—
1615D4—164no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—24no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—24no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—22no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—24no—
1659C2×C4—24no—
1660C2×C4—24no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—24no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—24no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—24no—
1688C2×C4—24no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—44no—
1696C2×C4—48no—
1697C2×C4—44no—
1698C2×C4—48no—
1699C2×C4—44no—
1700C2×C4—48no—
1701C2×C4—44no—
1702C2×C4—48no—
1703C2×C4—44no—
1704C2×C4—82no—
1705C2×C4—88no—
1706C2×C4—84no—
1707C2×C4—84no—
1708C2×C4—84no—
1709C2×C4—84no—
1710C2×C4—164no—
1711C2×C4—164no—
1712C2×C4C2×H(5,𝔽2)12yes—
1713C2×C4C2×H(5,𝔽2)14yes—
1714C2×C4C2×H(5,𝔽2)12yes—
1715C2×C4C2×H(5,𝔽2)12yes—
1716C2×C4C2×H(5,𝔽2)12yes—
1717C2×C4#58512yes—
1718C2×C4#58512yes—
1719C2×C4#58512yes—
1720C22—22no—
1721C22—22no—
1722C22—22no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—42no—
1728C22—41no—
1729C22—42no—
1730C22—42no—
1731C22—44no—
1732C22—44no—
1733C22—41no—
1734C22—42no—
1735C22—42no—
1736C22—42no—
1737C22—41no—
1738C22—42no—
1739C22—44no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—44no—
1744C22—42no—
1745C22—41no—
1746C22—42no—
1747C22—41no—
1748C22—42no—
1749C22—44no—
1750C22—42no—
1751C22—42no—
1752C22—44no—
1753C22—42no—
1754C22—42no—
1755C22—41no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—41no—
1761C22—44no—
1762C22—816no—
1763C22C22×H(5,𝔽2)11yescharacteristic
1764C22C22×H(5,𝔽2)11yescharacteristic
1765C22C2×#58511yescharacteristic
1766C22C2×#58511yescharacteristic
1767C22C2×#58511yescharacteristic
1768C22C2×#58511yescharacteristic
1769C22H(7,𝔽2)11yescharacteristic
1770C4—22no—
1771C4—24no—
1772C4—41no—
1773C4—42no—
1774C4—41no—
1775C4—42no—
1776C4—41no—
1777C4—44no—
1778C4—42no—
1779C4—41no—
1780C4—42no—
1781C4—41no—
1782C4—42no—
1783C4—42no—
1784C4—44no—
1785C4—41no—
1786C4—41no—
1787C4—42no—
1788C4—42no—
1789C4—42no—
1790C4—41no—
1791C4—44no—
1792C4—41no—
1793C4—42no—
1794C4—41no—
1795C4—42no—
1796C4—42no—
1797C4#353914yes—
1798C4#354214yes—
1799C2—42no—
1800C2—81no—
1801C2—82no—
1802C2—84no—
1803C2—82no—
1804C2—82no—
1805C2C2×#354211yescharacteristic
1806C2C2×#353911yescharacteristic
1807C2#6282711yescharacteristic
1808C2#6292311yescharacteristic
1809C2#6295711yescharacteristic
1810C2#6296611yescharacteristic
1811C2#6301911yescharacteristic
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. #59411C2semidirect
2. #59262C2semidirect
3. #59211C2semidirect
4. #57544C2semidirect
5. #56106C2semidirect
6. #55551C2semidirect
7. #53102C2semidirect
8. #53062C2semidirect
9. #49056C2semidirect
10. #45647C2semidirect
11. #45508C2semidirect
12. #45234C2semidirect
13. #45045C2semidirect
14. #42880C2semidirect
15. #42759C2semidirect
16. #42730C2semidirect
17. #42557C2semidirect
18. #40144C2semidirect
19. #39861C2semidirect
20. #39823C2semidirect
21. #39379C2semidirect
22. #39194C2semidirect
23. #39137C2semidirect
24. #39137C2semidirect
25. #37671C2semidirect
26. #37626C2semidirect
27. #37318C2semidirect
28. #37283C2semidirect
29. #36455C2semidirect
30. #36211C2semidirect
31. #36101C2semidirect
32. #35236C2semidirect
33. #35189C2semidirect
34. #34724C2semidirect
35. #34700C2semidirect
36. C2×#559C22semidirect
38. C2×#550C22semidirect
39. C2×#541C22semidirect
43. C2×C4×#41C22semidirect
45. #2859C22semidirect
48. #2856C22semidirect
49. #2851C22semidirect
54. #2837C22semidirect
56. #2829C22semidirect
58. #2828C22semidirect
62. #2801C22semidirect
63. #2800C22semidirect
64. #2800C22semidirect
66. #2797C22semidirect
67. #2796C22semidirect
68. #2796C22semidirect
69. #2779C22semidirect
70. #2778C22semidirect
71. #2769C22semidirect
72. #2757C22semidirect
75. #2756C22semidirect
77. #2749C22semidirect
78. #2749C22semidirect
79. #2749C22semidirect
80. #2747C22semidirect
82. #2743C22semidirect
83. #2738C22semidirect
84. #2725C22semidirect
85. #2725C22semidirect
87. #2714C22semidirect
88. #2711C22semidirect
89. #2711C22semidirect
90. #2711C22semidirect
91. #2711C22semidirect
92. #2709C22semidirect
94. #2708C22semidirect
95. #2708C22semidirect
96. #2707C22semidirect
97. #2705C22semidirect
98. #2705C22semidirect
99. #2701C22semidirect
101. #2694C22semidirect
102. #2694C22semidirect
106. #2682C22semidirect
111. #2651C22semidirect
112. #2648C22semidirect
113. #2641C22semidirect
116. #2635C22semidirect
117. #2633C22semidirect
118. #2630C22semidirect
119. #2629C22semidirect
121. #2624C22semidirect
122. #2624C22semidirect
123. #2620C22semidirect
124. #2620C22semidirect
126. #2619C22semidirect
128. #2603C22semidirect
129. #2601C22semidirect
130. #2600C22semidirect
131. #2582C22semidirect
132. #2571C22semidirect
133. #2570C22semidirect
136. #2548C22semidirect
138. #2543C22semidirect
141. #2541C22semidirect
144. #2540C22semidirect
148. #2538C22semidirect
152. #2537C22semidirect
153. #2537C22semidirect
154. #2536C22semidirect
156. #2526C22semidirect
157. #2526C22semidirect
158. #2525C22semidirect
160. #2513C22semidirect
161. #2513C22semidirect
164. #2510C22semidirect
165. #2506C22semidirect
166. #2506C22semidirect
167. #2506C22semidirect
168. #2506C22semidirect
170. #2500C22semidirect
173. #2495C22semidirect
174. #2494C22semidirect
175. #2494C22semidirect
176. #2493C22semidirect
178. #2490C22semidirect
179. #2490C22semidirect
180. #2490C22semidirect
182. #2485C22semidirect
183. #2485C22semidirect
185. #2478C22semidirect
188. #2468C22semidirect
189. #2466C22semidirect
190. #2466C22semidirect
197. #2454C22semidirect
198. #2454C22semidirect
199. #2453C22semidirect
201. #2447C22semidirect
202. #2447C22semidirect
206. #2441C22semidirect
207. #2441C22semidirect
210. #2432C22semidirect
211. #2432C22semidirect
216. #2428C22semidirect
217. #2428C22semidirect
218. #2428C22semidirect
220. #2427C22semidirect
223. #2426C22semidirect
224. #2425C22semidirect
229. #2422C22semidirect
230. #2421C22semidirect
231. #2421C22semidirect
234. #2420C22semidirect
235. #2420C22semidirect
236. #2420C22semidirect
240. #2415C22semidirect
245. #2414C22semidirect
246. #2414C22semidirect
252. #2407C22semidirect
254. #2395C22semidirect
260. #2363C22semidirect
261. #2362C22semidirect
263. #2357C22semidirect
264. #2356C22semidirect
265. #2356C22semidirect
267. Q8×C4⋊C4C22semidirect
268. Q8×C4⋊C4C22semidirect
269. Q8×C4⋊C4C22semidirect
270. #2349C22semidirect
271. #2347C22semidirect
272. #2341C22semidirect
273. #2339C22semidirect
277. #2324C22semidirect
278. #2324C22semidirect
279. #2324C22semidirect
280. #2323C22semidirect
281. #2323C22semidirect
282. C4×C4⋊Q8C22semidirect
283. C4×#127C22semidirect
287. C4×C22⋊Q8C22semidirect
290. C4×#121C22semidirect
292. #2296C22semidirect
294. #2293C22semidirect
296. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#594112
#592622
#592112
#575442
#561062
#555512
#531022
#530622
#490562
#456472
#455082
#452342
#450452
#428802
#427592
#427302
#425572
#401442
#398612
#398232
#393792
#391942
#391372
#376712
#376262
#373182
#372832
#364552
#362112
#361012
#352362
#351892
#347242
#347002