Finite Group Databasebeta

← #8425237

Subgroups — #8425237

Order 512.

5444 conjugacy classes of subgroups.

The subgroup lattice has 1896 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59815C211yesmaximal, characteristic, complemented
2#59394C212yesmaximal, complemented
3#59257C211yesmaximal, characteristic, complemented
4#59211C211yesmaximal, characteristic, complemented
5#58999C212yesmaximal, complemented
6#55050C214yesmaximal, complemented
7#54935C214yesmaximal, complemented
8#53128C212yesmaximal, complemented
9#53102C212yesmaximal, complemented
10#53055C212yesmaximal, complemented
11#52969C212yesmaximal, complemented
12#52476C214yesmaximal, complemented
13#42992C212yesmaximal, complemented
14#42906C212yesmaximal, complemented
15#42601C212yesmaximal, complemented
16#42593C212yesmaximal, complemented
17#41087C214yesmaximal, complemented
18#40126C212yesmaximal, complemented
19#39910C212yesmaximal, complemented
20#39818C212yesmaximal, complemented
21#39341C211yesmaximal, characteristic, complemented
22#39192C211yesmaximal, characteristic, complemented
23#39191C211yesmaximal, characteristic, complemented
24#39138C211yesmaximal, characteristic, complemented
25#37657C212yesmaximal, complemented
26#37626C211yesmaximal, characteristic, complemented
27#37621C211yesmaximal, characteristic, complemented
28#37523C212yesmaximal, complemented
29#37445C212yesmaximal, complemented
30#36455C211yesmaximal, characteristic, complemented
31#36211C211yesmaximal, characteristic, complemented
32#36101C211yesmaximal, characteristic, complemented
33#34935C211yesmaximal, characteristic, complemented
34#34724C211yesmaximal, characteristic, complemented
35#34681C211yesmaximal, characteristic, complemented
36C2×#550C2211yescharacteristic
37C2×#550C2212yes—
38C2×#550C2211yescharacteristic, complemented
39C2×#547C2212yescomplemented
40C2×#537C2212yescomplemented
41C2×#532C2211yescharacteristic
42C2×#529C2211yescharacteristic, complemented
43C2×#525C2212yes—
44C2×#525C2212yes—
45C2×#525C2212yes—
46C2×C4×#41C2211yescharacteristic
47C22×C4×D4C2211yescharacteristic
48#2859C2211yescharacteristic, complemented
49#2856C2211yescharacteristic
50#2856C2212yescomplemented
51#2856C2211yescharacteristic, complemented
52#2847C2212yes—
53#2828C2214yes—
54#2828C2214yes—
55#2828C2214yescomplemented
56#2828C2214yescomplemented
57#2827C2214yescomplemented
58#2826C2214yescomplemented
59#2824C2214yescomplemented
60#2818C2214yes—
61#2815C2214yes—
62#2815C2214yes—
63#2813C2214yes—
64#2813C2214yescomplemented
65#2812C2214yes—
66#2812C2214yes—
67#2803C2214yescomplemented
68#2803C2214yescomplemented
69#2779C2214yescomplemented
70#2772C2214yescomplemented
71#2770C2214yescomplemented
72#2756C2214yes—
73#2753C2214yescomplemented
74#2750C2214yes—
75#2749C2214yes—
76#2749C2214yescomplemented
77#2749C2214yescomplemented
78#2743C2214yes—
79#2737C2214yescomplemented
80#2725C2214yescomplemented
81#2714C2214yescomplemented
82#2714C2214yescomplemented
83#2711C2214yescomplemented
84#2703C2214yescomplemented
85#2701C2214yescomplemented
86#2701C2214yescomplemented
87#2699C2214yes—
88#2699C2214yescomplemented
89#2699C2214yescomplemented
90#2688C2214yescomplemented
91#2685C2214yes—
92#2682C2214yescomplemented
93#2681C2214yes—
94#2678C2214yes—
95#2676C2214yescomplemented
96#2675C2214yescomplemented
97#2673C2214yes—
98#2673C2214yescomplemented
99#2673C2214yescomplemented
100#2669C2214yes—
101#2669C2214yes—
102#2669C2214yes—
103#2668C2214yes—
104#2663C2214yescomplemented
105#2663C2214yescomplemented
106#2662C2214yescomplemented
107#2661C2214yescomplemented
108#2651C2214yescomplemented
109#2649C2214yescomplemented
110#2649C2214yescomplemented
111#2638C2214yes—
112#2635C2214yes—
113#2635C2214yescomplemented
114#2628C2212yescomplemented
115#2627C2214yescomplemented
116#2625C2212yescomplemented
117#2624C2212yes—
118#2624C2212yescomplemented
119#2624C2212yescomplemented
120#2619C2212yes—
121#2619C2212yes—
122#2619C2212yes—
123#2619C2212yescomplemented
124#2616C2212yescomplemented
125#2615C2212yescomplemented
126#2615C2212yescomplemented
127#2602C2214yescomplemented
128#2602C2214yescomplemented
129#2595C2214yescomplemented
130#2591C2214yescomplemented
131#2578C2214yescomplemented
132#2573C2214yescomplemented
133#2571C2211yescharacteristic, complemented
134#2570C2212yescomplemented
135#2562C2212yescomplemented
136#2559C2214yescomplemented
137#2541C2211yescharacteristic
138#2541C2212yes—
139#2541C2212yes—
140#2541C2212yes—
141#2541C2212yes—
142#2541C2212yescomplemented
143#2541C2211yescharacteristic, complemented
144#2540C2212yescomplemented
145#2538C2211yescharacteristic
146#2538C2211yescharacteristic
147#2538C2211yescharacteristic
148#2538C2211yescharacteristic, complemented
149#2537C2211yescharacteristic
150#2537C2212yes—
151#2537C2211yescharacteristic
152#2537C2211yescharacteristic, complemented
153#2537C2212yescomplemented
154#2536C2212yes—
155#2536C2212yescomplemented
156#2535C2212yes—
157#2535C2212yes—
158#2535C2212yescomplemented
159#2534C2214yes—
160#2525C2214yescomplemented
161#2513C2212yes—
162#2513C2212yes—
163#2513C2212yescomplemented
164#2513C2212yescomplemented
165#2512C2212yes—
166#2509C2212yescomplemented
167#2509C2212yescomplemented
168#2507C2212yescomplemented
169#2503C2212yescomplemented
170#2500C2212yes—
171#2497C2212yescomplemented
172#2496C2212yescomplemented
173#2495C2212yes—
174#2495C2212yescomplemented
175#2495C2212yescomplemented
176#2490C2212yes—
177#2490C2212yescomplemented
178#2490C2212yescomplemented
179#2487C2212yescomplemented
180#2486C2212yes—
181#2485C2212yescomplemented
182#2485C2212yescomplemented
183#2478C2212yescomplemented
184#2472C2212yes—
185#2470C2212yescomplemented
186#2466C2212yes—
187#2464C2212yes—
188#2464C2214yescomplemented
189#2464C2214yescomplemented
190#2463C2214yescomplemented
191#2461C2212yes—
192#2456C2214yes—
193#2456C2214yescomplemented
194#2456C2214yescomplemented
195#2455C2212yes—
196#2455C2214yescomplemented
197#2453C2211yescharacteristic, complemented
198#2452C2211yescharacteristic
199#2452C2212yescomplemented
200#2447C2211yescharacteristic, complemented
201#2445C2212yes—
202#2445C2214yes—
203#2445C2212yes—
204#2445C2211yescharacteristic
205#2445C2212yescomplemented
206#2443C2214yes—
207#2441C2211yescharacteristic
208#2440C2211yescharacteristic
209#2433C2212yes—
210#2433C2211yescharacteristic
211#2432C2211yescharacteristic
212#2431C2212yescomplemented
213#2429C2212yescomplemented
214#2429C2211yescharacteristic, complemented
215#2428C2212yes—
216#2428C2212yes—
217#2428C2214yes—
218#2428C2212yes—
219#2428C2211yescharacteristic
220#2428C2214yescomplemented
221#2428C2212yescomplemented
222#2428C2212yescomplemented
223#2428C2212yescomplemented
224#2424C2214yes—
225#2424C2212yes—
226#2422C2211yescharacteristic
227#2422C2211yescharacteristic, complemented
228#2420C2212yes—
229#2420C2212yes—
230#2420C2212yescomplemented
231#2420C2212yescomplemented
232#2420C2212yescomplemented
233#2416C2211yescharacteristic
234#2416C2214yescomplemented
235#2416C2212yescomplemented
236#2416C2212yescomplemented
237#2415C2211yescharacteristic
238#2415C2212yes—
239#2414C2212yes—
240#2414C2212yes—
241#2414C2212yes—
242#2414C2212yes—
243#2414C2212yes—
244#2414C2212yescomplemented
245#2414C2212yescomplemented
246#2414C2214yescomplemented
247#2408C2211yescharacteristic
248#2408C2212yes—
249#2407C2212yes—
250#2407C2211yescharacteristic
251#2407C2212yescomplemented
252#2407C2212yescomplemented
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2395C2212yes—
256#2392C2212yes—
257#2392C2214yes—
258#2392C2212yes—
259#2388C2212yes—
260#2366C2212yes—
261#2363C2212yes—
262#2363C2212yescomplemented
263#2362C2212yescomplemented
264#2361C2212yes—
265#2361C2214yescomplemented
266#2357C2212yescomplemented
267#2357C2212yescomplemented
268#2355C2211yescharacteristic, complemented
269#2354C2211yescharacteristic
270#2352C2212yes—
271Q8×C4⋊C4C2211yescharacteristic, complemented
272D4×C4⋊C4C2212yescomplemented
273D4×C4⋊C4C2211yescharacteristic, complemented
274#2347C2212yescomplemented
275#2341C2212yescomplemented
276#2333C2214yescomplemented
277#2324C2212yescomplemented
278#2324C2212yescomplemented
279#2323C2212yescomplemented
280C4×C4⋊Q8C2211yescharacteristic, complemented
281C4×#127C2211yescharacteristic
282C4×#127C2211yescharacteristic, complemented
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic, complemented
285C4×#123C2212yescomplemented
286C4×#121C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2212yes—
290C4×#121C2212yescomplemented
291C4×#120C2212yes—
292#2296C2212yescomplemented
293#2293C2211yescharacteristic
294#2293C2211yescharacteristic, complemented
295#2285C2211yescharacteristic
296#2285C2211yescharacteristic, complemented
297#2280C2212yes—
298C42×D4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×D4C2311yescharacteristic
304C24×C4C2312yes—
305#550—44no—
306#550—44no—
307#550—48no—
308#547—48no—
309#537—48no—
310#532—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×#127C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2314yes—
321C2×#127C2314yes—
322#529—44no—
323C2×#126C2312yes—
324C2×#126C2314yes—
325C2×#125C2311yescharacteristic
326C2×#125C2312yes—
327C2×#124C2312yes—
328C2×#124C2311yescharacteristic
329#525—48no—
330#525—48no—
331#525—48no—
332C2×#123C2312yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2311yescharacteristic
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2311yescharacteristic
373C2×#121C2311yescharacteristic
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2311yescharacteristic
379C2×#121C2314yes—
380C2×#121C2311yescharacteristic
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#120C2314yes—
390C2×#120C2312yes—
391C2×#120C2312yes—
392C2×#120C2314yes—
393C2×#120C2312yes—
394C2×#120C2314yes—
395C4×#41—44no—
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2311yescharacteristic
400C2×C4×D4—44no—
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2312yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2314yes—
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2312yes—
426C2×C4×D4C2314yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2312yes—
431C2×C4×D4C2311yescharacteristic
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C2×#117C2312yes—
438C2×#117C2312yes—
439C2×#117C2311yescharacteristic
440C22×C4⋊C4C2314yes—
441C22×C4⋊C4C2312yes—
442C22×C4⋊C4C2311yescharacteristic
443C22×C22⋊C4C2312yes—
444C22×C42C2311yescharacteristic
445C22×C42C2311yescharacteristic
446C22×C42C2312yes—
447#400C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#400C2314yes—
455#400C2312yes—
456#400C2314yes—
457#399C2314yes—
458#399C2314yes—
459#399C2314yes—
460#399C2312yes—
461#398C2314yes—
462#398C2312yes—
463#398C2314yes—
464#398C2312yes—
465#398C2314yes—
466#398C2314yes—
467#398C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2312yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2312yes—
483#397C2314yes—
484#397C2314yes—
485#397C2312yes—
486#397C2314yes—
487#397C2312yes—
488#396C2312yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2312yes—
493#396C2314yes—
494#396C2314yes—
495#396C2312yes—
496#396C2312yes—
497#396C2314yes—
498#396C2314yes—
499#395C2314yes—
500#395C2312yes—
501#394C2314yes—
502#394C2312yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
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#394C2312yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2312yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2312yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2312yes—
536#394C2314yes—
537#394C2312yes—
538#394C2312yes—
539#394C2312yes—
540#394C2312yes—
541#394C2312yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#393C2312yes—
547#393C2314yes—
548#393C2314yes—
549#392C2312yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2312yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2312yes—
576#392C2312yes—
577#392C2312yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#391C2311yescharacteristic
582#391C2311yescharacteristic
583#391C2312yes—
584#391C2311yescharacteristic
585#391C2311yescharacteristic
586#390C2311yescharacteristic
587#390C2311yescharacteristic
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2314yes—
594#390C2314yes—
595#390C2314yes—
596#390C2312yes—
597#390C2314yes—
598#390C2314yes—
599#390C2314yes—
600#390C2314yes—
601#390C2312yes—
602#390C2314yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2311yescharacteristic
607#390C2312yes—
608#390C2312yes—
609#390C2314yes—
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2314yes—
614#390C2311yescharacteristic
615#390C2311yescharacteristic
616#390C2312yes—
617#390C2311yescharacteristic
618#390C2314yes—
619#390C2312yes—
620#390C2312yes—
621#390C2311yescharacteristic
622#390C2311yescharacteristic
623#389C2312yes—
624#389C2312yes—
625#389C2311yescharacteristic
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2314yes—
630#389C2312yes—
631#389C2314yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2314yes—
640#389C2312yes—
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2314yes—
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2311yescharacteristic
650#389C2311yescharacteristic
651#389C2311yescharacteristic
652#389C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2312yes—
660#388C2312yes—
661#388C2314yes—
662#388C2314yes—
663#388C2312yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2312yes—
683#388C2312yes—
684#388C2314yes—
685#388C2314yes—
686#388C2312yes—
687#387C2314yes—
688#387C2314yes—
689#387C2312yes—
690#387C2314yes—
691#387C2314yes—
692#387C2312yes—
693#387C2314yes—
694#387C2314yes—
695#387C2312yes—
696#387C2314yes—
697#387C2312yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2312yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#386C2314yes—
724#386C2312yes—
725#385C2312yes—
726#385C2312yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2312yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2312yes—
735#385C2312yes—
736#385C2314yes—
737#385C2312yes—
738#385C2312yes—
739#385C2312yes—
740#385C2312yes—
741#385C2312yes—
742#384C2311yescharacteristic
743#384C2311yescharacteristic
744#384C2311yescharacteristic
745#384C2312yes—
746#384C2311yescharacteristic
747#384C2311yescharacteristic
748#383C2314yes—
749#383C2314yes—
750#382C2312yes—
751#382C2312yes—
752#382C2312yes—
753#382C2312yes—
754#382C2312yes—
755#382C2312yes—
756#381C2314yes—
757#381C2314yes—
758#381C2314yes—
759#381C2314yes—
760#381C2314yes—
761#381C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2314yes—
767#380C2312yes—
768#380C2311yescharacteristic
769#380C2312yes—
770#380C2314yes—
771#380C2311yescharacteristic
772#380C2312yes—
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2311yescharacteristic
782#380C2312yes—
783#380C2312yes—
784#379C2314yes—
785#379C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821C43C2311yescharacteristic
822C25C2412yes—
823C2×#41—24no—
824C2×#41—28no—
825C2×#41—24no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—42no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C22×Q8C2411yescharacteristic
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×D4—42no—
839C22×D4—42no—
840C22×D4—42no—
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2411yescharacteristic
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2414yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2412yes—
868C22×D4C2412yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C23×C4—28no—
874C23×C4—44no—
875C23×C4—44no—
876C23×C4C2412yes—
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2411yescharacteristic
883C23×C4C2412yes—
884C23×C4C2411yescharacteristic
885C23×C4C2411yescharacteristic
886C23×C4C2412yes—
887C23×C4C2414yes—
888C23×C4C2414yes—
889C23×C4C2412yes—
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C23×C4C2414yes—
893C23×C4C2414yes—
894C23×C4C2412yes—
895C4⋊Q8—24no—
896C4⋊Q8—42no—
897#127—24no—
898#127—44no—
899#127—42no—
900#127—42no—
901#127—44no—
902#127—44no—
903#127—44no—
904#127—48no—
905#127—84no—
906#126—44no—
907#126—84no—
908#125—42no—
909#125—82no—
910#124—44no—
911#124—42no—
912#123—44no—
913#123—44no—
914#123—44no—
915#123—48no—
916#123—44no—
917#123—48no—
918#123—48no—
919#123—48no—
920C22⋊Q8—28no—
921C22⋊Q8—28no—
922C22⋊Q8—24no—
923C22⋊Q8—24no—
924C22⋊Q8—44no—
925C22⋊Q8—44no—
926C22⋊Q8—48no—
927C22⋊Q8—44no—
928C22⋊Q8—42no—
929C22⋊Q8—44no—
930#121—28no—
931#121—48no—
932#121—44no—
933#121—44no—
934#121—48no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—48no—
940#121—48no—
941#121—48no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—44no—
946#121—44no—
947#121—42no—
948#121—44no—
949#121—42no—
950#121—44no—
951#121—48no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—42no—
956#121—42no—
957#121—42no—
958#121—44no—
959#121—44no—
960#121—44no—
961#121—44no—
962#121—44no—
963#121—44no—
964#121—84no—
965#121—82no—
966#121—82no—
967#121—84no—
968#121—84no—
969#120—44no—
970#120—48no—
971#120—44no—
972#120—44no—
973#120—48no—
974#120—84no—
975C4×Q8—24no—
976C4×Q8—24no—
977C4×Q8—42no—
978C4×Q8—44no—
979C4×D4—24no—
980C4×D4—28no—
981C4×D4—24no—
982C4×D4—24no—
983C4×D4—24no—
984C4×D4—24no—
985C4×D4—44no—
986C4×D4—42no—
987C4×D4—42no—
988C4×D4—42no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—42no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—42no—
997C4×D4—44no—
998C4×D4—44no—
999C4×D4—44no—
1000C4×D4—44no—
1001C4×D4—44no—
1002C4×D4—44no—
1003C4×D4—44no—
1004C4×D4—44no—
1005C4×D4—48no—
1006C4×D4—48no—
1007C4×D4—48no—
1008C4×D4—48no—
1009C4×D4—48no—
1010#117—44no—
1011#117—44no—
1012#117—44no—
1013#117—44no—
1014#117—44no—
1015#117—42no—
1016#117—44no—
1017#117—44no—
1018C2×C4⋊C4—42no—
1019C2×C4⋊C4—44no—
1020C2×C4⋊C4—48no—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2412yes—
1077C2×C22⋊C4—44no—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2411yescharacteristic
1127C2×C22⋊C4C2411yescharacteristic
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C42—24no—
1157C2×C42—24no—
1158C2×C42—44no—
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2412yes—
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2412yes—
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2412yes—
1175C2×C42C2414yes—
1176C2×C42C2414yes—
1177C2×C42C2414yes—
1178C2×C42C2414yes—
1179C2×C42C2412yes—
1180C2×C42C2411yescharacteristic
1181C2×C42C2414yes—
1182C2×C42C2411yescharacteristic
1183#95C2411yescharacteristic
1184#95C2412yes—
1185#95C2412yes—
1186#95C2411yescharacteristic
1187#95C2411yescharacteristic
1188#95C2411yescharacteristic
1189#95C2411yescharacteristic
1190#95C2411yescharacteristic
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233C24—24no—
1234C24—42no—
1235C24—42no—
1236C24—42no—
1237C24—42no—
1238C24—42no—
1239C24—42no—
1240C24C2512yes—
1241C24C2512yes—
1242C24C2511yescharacteristic
1243C24C2512yes—
1244C24C2512yes—
1245C24C2514yes—
1246C24C2511yescharacteristic
1247#41—416no—
1248#41—816no—
1249#41—816no—
1250#41—816no—
1251C2×Q8—22no—
1252C2×Q8—22no—
1253C2×Q8—22no—
1254C2×Q8—22no—
1255C2×Q8—22no—
1256C2×Q8—42no—
1257C2×Q8—42no—
1258C2×Q8—42no—
1259C2×Q8H(5,𝔽2)14yes—
1260C2×D4—22no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—28no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—22no—
1273C2×D4—24no—
1274C2×D4—22no—
1275C2×D4—24no—
1276C2×D4—28no—
1277C2×D4—22no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—24no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—44no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—44no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—44no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—42no—
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—42no—
1324C2×D4—42no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—44no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—44no—
1336C2×D4—42no—
1337C2×D4—42no—
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—
1349C2×D4—44no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—416no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—24no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—24no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—24no—
1367C22×C4—24no—
1368C22×C4—22no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—24no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—24no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—24no—
1379C22×C4—22no—
1380C22×C4—22no—
1381C22×C4—24no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—22no—
1385C22×C4—28no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—28no—
1389C22×C4—42no—
1390C22×C4—42no—
1391C22×C4—42no—
1392C22×C4—44no—
1393C22×C4—44no—
1394C22×C4—42no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—41no—
1403C22×C4—41no—
1404C22×C4—44no—
1405C22×C4—41no—
1406C22×C4—41no—
1407C22×C4—42no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—816no—
1414C22×C4H(5,𝔽2)14yes—
1415C22×C4C2512yes—
1416C22×C4C2511yescharacteristic
1417C22×C4C2512yes—
1418C22×C4C2511yescharacteristic
1419C22×C4C2512yes—
1420C22×C4C2512yes—
1421C22×C4C2512yes—
1422C22×C4C2514yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2512yes—
1425C22×C4C2514yes—
1426C22×C4C2511yescharacteristic
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C22×C4C2514yes—
1430C22×C4C2512yes—
1431C22×C4C2512yes—
1432C22×C4C2511yescharacteristic
1433C22×C4C2512yes—
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2511yescharacteristic
1437C22×C4C2511yescharacteristic
1438C22×C4C2511yescharacteristic
1439C22×C4C2512yes—
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C4⋊C4—22no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—28no—
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—24no—
1452C4⋊C4—22no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—22no—
1456C4⋊C4—24no—
1457C4⋊C4—22no—
1458C4⋊C4—24no—
1459C4⋊C4—28no—
1460C4⋊C4—22no—
1461C4⋊C4—24no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—22no—
1468C4⋊C4—22no—
1469C4⋊C4—24no—
1470C4⋊C4—42no—
1471C4⋊C4—42no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—42no—
1477C4⋊C4—42no—
1478C4⋊C4—42no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—41no—
1483C4⋊C4—41no—
1484C4⋊C4—42no—
1485C4⋊C4—42no—
1486C4⋊C4—42no—
1487C4⋊C4—44no—
1488C4⋊C4—42no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—42no—
1492C4⋊C4—42no—
1493C4⋊C4—42no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—42no—
1497C4⋊C4—44no—
1498C4⋊C4—42no—
1499C22⋊C4—22no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—22no—
1508C22⋊C4—28no—
1509C22⋊C4—28no—
1510C22⋊C4—28no—
1511C22⋊C4—24no—
1512C22⋊C4—22no—
1513C22⋊C4—22no—
1514C22⋊C4—24no—
1515C22⋊C4—24no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—44no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—41no—
1530C22⋊C4—41no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—44no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—42no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—42no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C42—22no—
1578C42—22no—
1579C42—22no—
1580C42—22no—
1581C42—22no—
1582C42—22no—
1583C42—24no—
1584C42—22no—
1585C42—24no—
1586C42—24no—
1587C42—22no—
1588C42—22no—
1589C42—24no—
1590C42—22no—
1591C42—22no—
1592C42—42no—
1593C42—42no—
1594C42—44no—
1595C42—44no—
1596C42—44no—
1597C42—44no—
1598C42—41no—
1599C42—44no—
1600C42H(5,𝔽2)14yes—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—22no—
1608C23—22no—
1609C23—21no—
1610C23—22no—
1611C23—22no—
1612C23—21no—
1613C23—22no—
1614C23—22no—
1615C23—22no—
1616C23—24no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—22no—
1621C23—24no—
1622C23—21no—
1623C23—22no—
1624C23—24no—
1625C23—21no—
1626C23—22no—
1627C23—22no—
1628C23—21no—
1629C23—22no—
1630C23—24no—
1631C23—22no—
1632C23—22no—
1633C23—24no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—22no—
1638C23—21no—
1639C23—24no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—24no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—21no—
1649C23—48no—
1650C23—84no—
1651C23—84no—
1652C23—84no—
1653C23—84no—
1654C23—84no—
1655C23—84no—
1656C23C2×H(5,𝔽2)12yes—
1657C23C2611yescharacteristic
1658Q8—28no—
1659Q8—44no—
1660Q8—84no—
1661D4—48no—
1662D4—44no—
1663D4—48no—
1664D4—44no—
1665D4—48no—
1666D4—44no—
1667D4—48no—
1668D4—44no—
1669D4—44no—
1670D4—84no—
1671D4—84no—
1672D4—88no—
1673D4—84no—
1674D4—88no—
1675D4—88no—
1676D4—88no—
1677D4—88no—
1678D4—88no—
1679D4—84no—
1680D4—84no—
1681D4—84no—
1682D4—84no—
1683D4—84no—
1684D4—84no—
1685D4—84no—
1686D4—88no—
1687D4—164no—
1688D4—164no—
1689D4—164no—
1690D4—164no—
1691D4—164no—
1692D4—164no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—28no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—24no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—24no—
1720C2×C4—24no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—21no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—21no—
1741C2×C4—24no—
1742C2×C4—24no—
1743C2×C4—21no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—21no—
1747C2×C4—22no—
1748C2×C4—21no—
1749C2×C4—22no—
1750C2×C4—21no—
1751C2×C4—24no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—24no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—24no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—22no—
1766C2×C4—24no—
1767C2×C4—22no—
1768C2×C4—48no—
1769C2×C4—48no—
1770C2×C4—48no—
1771C2×C4—48no—
1772C2×C4—44no—
1773C2×C4—44no—
1774C2×C4—48no—
1775C2×C4—44no—
1776C2×C4—88no—
1777C2×C4—82no—
1778C2×C4—82no—
1779C2×C4—84no—
1780C2×C4—84no—
1781C2×C4—88no—
1782C2×C4—84no—
1783C2×C4—84no—
1784C2×C4—88no—
1785C2×C4—164no—
1786C2×C4C2×H(5,𝔽2)12yes—
1787C2×C4C2×H(5,𝔽2)12yes—
1788C2×C4C2×H(5,𝔽2)14yes—
1789C2×C4C2×H(5,𝔽2)12yes—
1790C2×C4C2×H(5,𝔽2)12yes—
1791C2×C4C2×H(5,𝔽2)12yes—
1792C2×C4C2×H(5,𝔽2)12yes—
1793C2×C4#58512yes—
1794C2×C4#58512yes—
1795C2×C4#58512yes—
1796C22—22no—
1797C22—22no—
1798C22—22no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—42no—
1804C22—42no—
1805C22—42no—
1806C22—42no—
1807C22—41no—
1808C22—44no—
1809C22—42no—
1810C22—41no—
1811C22—42no—
1812C22—42no—
1813C22—42no—
1814C22—44no—
1815C22—41no—
1816C22—44no—
1817C22—42no—
1818C22—42no—
1819C22—42no—
1820C22—42no—
1821C22—44no—
1822C22—42no—
1823C22—42no—
1824C22—42no—
1825C22—42no—
1826C22—41no—
1827C22—42no—
1828C22—42no—
1829C22—42no—
1830C22—41no—
1831C22—44no—
1832C22—42no—
1833C22—41no—
1834C22—42no—
1835C22—44no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—41no—
1840C22—42no—
1841C22—42no—
1842C22—44no—
1843C22—42no—
1844C22—42no—
1845C22—816no—
1846C22C22×H(5,𝔽2)11yescharacteristic
1847C22C22×H(5,𝔽2)11yescharacteristic
1848C22C22×H(5,𝔽2)11yescharacteristic
1849C22C2×#58511yescharacteristic
1850C22C2×#58511yescharacteristic
1851C22C2×#58511yescharacteristic
1852C22H(7,𝔽2)11yescharacteristic
1853C4—22no—
1854C4—24no—
1855C4—22no—
1856C4—22no—
1857C4—42no—
1858C4—42no—
1859C4—42no—
1860C4—41no—
1861C4—42no—
1862C4—41no—
1863C4—42no—
1864C4—41no—
1865C4—41no—
1866C4—42no—
1867C4—42no—
1868C4—44no—
1869C4—41no—
1870C4—42no—
1871C4—44no—
1872C4—41no—
1873C4—41no—
1874C4—42no—
1875C4—42no—
1876C4—41no—
1877C4—44no—
1878C4—42no—
1879C4#353714yes—
1880C4#353914yes—
1881C2—42no—
1882C2—82no—
1883C2—81no—
1884C2—82no—
1885C2—84no—
1886C2—82no—
1887C2—82no—
1888C2C2×#353711yescharacteristic
1889C2C2×#353911yescharacteristic
1890C2#6275911yescharacteristic
1891C2#6292311yescharacteristic
1892C2#6293011yescharacteristic
1893C2#6295511yescharacteristic
1894C2#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. #59815C2semidirect
2. #59394C2semidirect
3. #59257C2semidirect
4. #59211C2semidirect
5. #58999C2semidirect
6. #55050C2semidirect
7. #54935C2semidirect
8. #53128C2semidirect
9. #53102C2semidirect
10. #53055C2semidirect
11. #52969C2semidirect
12. #52476C2semidirect
13. #42992C2semidirect
14. #42906C2semidirect
15. #42601C2semidirect
16. #42593C2semidirect
17. #41087C2semidirect
18. #40126C2semidirect
19. #39910C2semidirect
20. #39818C2semidirect
21. #39341C2semidirect
22. #39192C2semidirect
23. #39191C2semidirect
24. #39138C2semidirect
25. #37657C2semidirect
26. #37626C2semidirect
27. #37621C2semidirect
28. #37523C2semidirect
29. #37445C2semidirect
30. #36455C2semidirect
31. #36211C2semidirect
32. #36101C2semidirect
33. #34935C2semidirect
34. #34724C2semidirect
35. #34681C2semidirect
38. C2×#550C22semidirect
39. C2×#547C22semidirect
40. C2×#537C22semidirect
42. C2×#529C22semidirect
48. #2859C22semidirect
50. #2856C22semidirect
51. #2856C22semidirect
55. #2828C22semidirect
56. #2828C22semidirect
57. #2827C22semidirect
58. #2826C22semidirect
59. #2824C22semidirect
64. #2813C22semidirect
67. #2803C22semidirect
68. #2803C22semidirect
69. #2779C22semidirect
70. #2772C22semidirect
71. #2770C22semidirect
73. #2753C22semidirect
76. #2749C22semidirect
77. #2749C22semidirect
79. #2737C22semidirect
80. #2725C22semidirect
81. #2714C22semidirect
82. #2714C22semidirect
83. #2711C22semidirect
84. #2703C22semidirect
85. #2701C22semidirect
86. #2701C22semidirect
88. #2699C22semidirect
89. #2699C22semidirect
90. #2688C22semidirect
92. #2682C22semidirect
95. #2676C22semidirect
96. #2675C22semidirect
98. #2673C22semidirect
99. #2673C22semidirect
104. #2663C22semidirect
105. #2663C22semidirect
106. #2662C22semidirect
107. #2661C22semidirect
108. #2651C22semidirect
109. #2649C22semidirect
110. #2649C22semidirect
113. #2635C22semidirect
114. #2628C22semidirect
115. #2627C22semidirect
116. #2625C22semidirect
118. #2624C22semidirect
119. #2624C22semidirect
123. #2619C22semidirect
124. #2616C22semidirect
125. #2615C22semidirect
126. #2615C22semidirect
127. #2602C22semidirect
128. #2602C22semidirect
129. #2595C22semidirect
130. #2591C22semidirect
131. #2578C22semidirect
132. #2573C22semidirect
133. #2571C22semidirect
134. #2570C22semidirect
135. #2562C22semidirect
136. #2559C22semidirect
142. #2541C22semidirect
143. #2541C22semidirect
144. #2540C22semidirect
148. #2538C22semidirect
152. #2537C22semidirect
153. #2537C22semidirect
155. #2536C22semidirect
158. #2535C22semidirect
160. #2525C22semidirect
163. #2513C22semidirect
164. #2513C22semidirect
166. #2509C22semidirect
167. #2509C22semidirect
168. #2507C22semidirect
169. #2503C22semidirect
171. #2497C22semidirect
172. #2496C22semidirect
174. #2495C22semidirect
175. #2495C22semidirect
177. #2490C22semidirect
178. #2490C22semidirect
179. #2487C22semidirect
181. #2485C22semidirect
182. #2485C22semidirect
183. #2478C22semidirect
185. #2470C22semidirect
188. #2464C22semidirect
189. #2464C22semidirect
190. #2463C22semidirect
193. #2456C22semidirect
194. #2456C22semidirect
196. #2455C22semidirect
197. #2453C22semidirect
199. #2452C22semidirect
200. #2447C22semidirect
205. #2445C22semidirect
212. #2431C22semidirect
213. #2429C22semidirect
214. #2429C22semidirect
220. #2428C22semidirect
221. #2428C22semidirect
222. #2428C22semidirect
223. #2428C22semidirect
227. #2422C22semidirect
230. #2420C22semidirect
231. #2420C22semidirect
232. #2420C22semidirect
234. #2416C22semidirect
235. #2416C22semidirect
236. #2416C22semidirect
244. #2414C22semidirect
245. #2414C22semidirect
246. #2414C22semidirect
251. #2407C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
262. #2363C22semidirect
263. #2362C22semidirect
265. #2361C22semidirect
266. #2357C22semidirect
267. #2357C22semidirect
268. #2355C22semidirect
271. Q8×C4⋊C4C22semidirect
272. D4×C4⋊C4C22semidirect
273. D4×C4⋊C4C22semidirect
274. #2347C22semidirect
275. #2341C22semidirect
276. #2333C22semidirect
277. #2324C22semidirect
278. #2324C22semidirect
279. #2323C22semidirect
280. C4×C4⋊Q8C22semidirect
282. C4×#127C22semidirect
284. C4×C22⋊Q8C22semidirect
285. C4×#123C22semidirect
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
#598152
#593942
#592572
#592112
#589992
#550502
#549352
#531282
#531022
#530552
#529692
#524762
#429922
#429062
#426012
#425932
#410872
#401262
#399102
#398182
#393412
#391922
#391912
#391382
#376572
#376262
#376212
#375232
#374452
#364552
#362112
#361012
#349352
#347242
#346812