Finite Group Databasebeta

← #8174551

Subgroups — #8174551

Order 512.

5321 conjugacy classes of subgroups.

The subgroup lattice has 1874 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59234C211yesmaximal, characteristic, complemented
2#59233C211yesmaximal, characteristic, complemented
3#59080C211yesmaximal, characteristic, complemented
4#59035C211yesmaximal, characteristic, complemented
5#58884C214yesmaximal, complemented
6#58744C214yesmaximal, complemented
7#57170C214yesmaximal, complemented
8#54954C214yesmaximal, complemented
9#53055C212yesmaximal, complemented
10#53046C212yesmaximal, complemented
11#53015C212yesmaximal, complemented
12#52990C212yesmaximal, complemented
13#45402C212yesmaximal, complemented
14#45093C212yesmaximal, complemented
15#42995C212yesmaximal, complemented
16#42987C212yesmaximal, complemented
17#42887C212yesmaximal, complemented
18#42731C212yesmaximal, complemented
19#42677C212yesmaximal, complemented
20#42532C212yesmaximal, complemented
21#39343C211yesmaximal, characteristic, complemented
22#39342C211yesmaximal, characteristic, complemented
23#39201C212yesmaximal, complemented
24#39124C211yesmaximal, characteristic, complemented
25#38941C211yesmaximal, characteristic, complemented
26#38940C211yesmaximal, characteristic, complemented
27#38910C211yesmaximal, characteristic, complemented
28#38206C212yesmaximal, complemented
29#37636C212yesmaximal, complemented
30#37334C212yesmaximal, complemented
31#36473C211yesmaximal, characteristic, complemented
32#36273C211yesmaximal, characteristic, complemented
33#35292C211yesmaximal, characteristic, complemented
34#34911C211yesmaximal, characteristic, complemented
35#34609C211yesmaximal, characteristic, complemented
36C2×#556C2212yescomplemented
37C2×#555C2212yescomplemented
38C2×D4×Q8C2211yescharacteristic, complemented
39C2×#548C2212yescomplemented
40C2×#546C2212yes—
41C2×D42C2211yescharacteristic
42C2×#536C2212yescomplemented
43C2×#535C2212yes—
44C2×#532C2211yescharacteristic
45C2×#532C2211yescharacteristic
46C2×#529C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic, complemented
48#2860C2212yes—
49#2858C2212yescomplemented
50#2857C2211yescharacteristic, complemented
51#2857C2211yescharacteristic, complemented
52#2856C2211yescharacteristic
53#2856C2211yescharacteristic
54#2840C2214yescomplemented
55#2832C2214yescomplemented
56#2832C2214yescomplemented
57#2832C2214yescomplemented
58#2828C2214yescomplemented
59#2824C2214yescomplemented
60#2824C2214yescomplemented
61#2819C2214yescomplemented
62#2819C2214yescomplemented
63#2819C2214yescomplemented
64#2818C2214yescomplemented
65#2815C2214yescomplemented
66#2803C2214yescomplemented
67#2785C2214yescomplemented
68#2785C2214yescomplemented
69#2775C2214yescomplemented
70#2775C2214yescomplemented
71#2763C2214yescomplemented
72#2756C2214yescomplemented
73#2753C2214yescomplemented
74#2737C2214yescomplemented
75#2737C2214yescomplemented
76#2737C2214yescomplemented
77#2736C2214yescomplemented
78#2733C2214yescomplemented
79#2723C2214yescomplemented
80#2723C2214yescomplemented
81#2723C2214yescomplemented
82#2714C2214yescomplemented
83#2714C2214yescomplemented
84#2712C2214yescomplemented
85#2712C2214yescomplemented
86#2710C2214yescomplemented
87#2710C2214yescomplemented
88#2710C2214yescomplemented
89#2710C2214yescomplemented
90#2703C2214yescomplemented
91#2703C2214yescomplemented
92#2696C2214yescomplemented
93#2686C2214yescomplemented
94#2685C2214yes—
95#2685C2214yescomplemented
96#2685C2214yescomplemented
97#2684C2214yescomplemented
98#2684C2214yescomplemented
99#2678C2214yes—
100#2678C2214yescomplemented
101#2676C2214yescomplemented
102#2674C2214yescomplemented
103#2674C2214yescomplemented
104#2673C2214yescomplemented
105#2672C2214yescomplemented
106#2670C2214yes—
107#2670C2214yescomplemented
108#2670C2214yescomplemented
109#2670C2214yescomplemented
110#2670C2214yescomplemented
111#2670C2214yescomplemented
112#2669C2214yes—
113#2668C2214yes—
114#2662C2214yescomplemented
115#2640C2212yes—
116#2640C2214yescomplemented
117#2640C2212yescomplemented
118#2635C2212yescomplemented
119#2635C2212yescomplemented
120#2632C2214yescomplemented
121#2632C2214yescomplemented
122#2632C2212yescomplemented
123#2631C2212yescomplemented
124#2631C2214yescomplemented
125#2628C2211yescharacteristic, complemented
126#2628C2212yescomplemented
127#2628C2214yescomplemented
128#2628C2211yescharacteristic, complemented
129#2624C2212yes—
130#2624C2211yescharacteristic
131#2624C2214yescomplemented
132#2624C2212yescomplemented
133#2624C2211yescharacteristic, complemented
134#2619C2211yescharacteristic
135#2619C2211yescharacteristic
136#2617C2214yescomplemented
137#2616C2212yescomplemented
138#2615C2211yescharacteristic
139#2615C2212yes—
140#2615C2212yescomplemented
141#2615C2211yescharacteristic, complemented
142#2610C2214yescomplemented
143#2610C2214yescomplemented
144#2610C2214yescomplemented
145#2604C2214yescomplemented
146#2604C2212yescomplemented
147#2603C2212yescomplemented
148#2602C2212yescomplemented
149#2602C2212yescomplemented
150#2592C2211yescharacteristic
151#2592C2212yescomplemented
152#2584C2211yescharacteristic, complemented
153#2580C2214yescomplemented
154#2580C2212yescomplemented
155#2563C2212yescomplemented
156#2563C2212yescomplemented
157#2563C2212yescomplemented
158#2563C2212yescomplemented
159#2563C2212yescomplemented
160#2562C2211yescharacteristic, complemented
161#2555C2214yescomplemented
162#2551C2212yescomplemented
163#2551C2211yescharacteristic, complemented
164#2551C2211yescharacteristic, complemented
165#2548C2211yescharacteristic
166#2548C2214yescomplemented
167#2547C2211yescharacteristic
168#2547C2212yescomplemented
169#2542C2211yescharacteristic
170#2541C2212yes—
171#2541C2211yescharacteristic
172#2540C2211yescharacteristic
173#2540C2212yes—
174#2540C2212yes—
175#2540C2212yescomplemented
176#2538C2211yescharacteristic
177#2537C2212yes—
178#2537C2211yescharacteristic
179#2535C2212yescomplemented
180#2535C2212yescomplemented
181#2529C2214yescomplemented
182#2526C2214yescomplemented
183#2521C2214yescomplemented
184#2513C2212yes—
185#2513C2214yescomplemented
186#2513C2212yescomplemented
187#2496C2212yescomplemented
188#2495C2212yescomplemented
189#2495C2212yescomplemented
190#2495C2214yescomplemented
191#2492C2212yescomplemented
192#2492C2212yescomplemented
193#2492C2212yescomplemented
194#2491C2212yes—
195#2491C2212yes—
196#2491C2212yes—
197#2491C2212yes—
198#2491C2212yes—
199#2491C2214yescomplemented
200#2491C2212yescomplemented
201#2491C2212yescomplemented
202#2491C2212yescomplemented
203#2491C2212yescomplemented
204#2491C2212yescomplemented
205#2491C2212yescomplemented
206#2490C2212yes—
207#2489C2212yescomplemented
208#2485C2212yescomplemented
209#2482C2214yescomplemented
210#2474C2214yescomplemented
211#2472C2214yescomplemented
212#2463C2214yescomplemented
213#2452C2212yescomplemented
214#2445C2212yes—
215#2445C2214yescomplemented
216#2439C2212yescomplemented
217#2436C2212yes—
218#2436C2212yescomplemented
219#2435C2212yes—
220#2435C2212yes—
221#2433C2212yes—
222#2428C2212yescomplemented
223#2428C2212yescomplemented
224#2427C2212yes—
225#2427C2212yescomplemented
226#2426C2212yes—
227#2426C2212yescomplemented
228#2422C2212yes—
229#2422C2212yescomplemented
230#2420C2212yescomplemented
231#2418C2214yes—
232#2418C2214yescomplemented
233#2415C2212yescomplemented
234#2415C2212yescomplemented
235#2415C2211yescharacteristic, complemented
236#2415C2211yescharacteristic, complemented
237#2415C2212yescomplemented
238#2414C2212yes—
239#2414C2212yes—
240#2414C2212yes—
241#2414C2211yescharacteristic
242#2414C2211yescharacteristic
243#2414C2212yescomplemented
244#2414C2212yescomplemented
245#2414C2212yescomplemented
246#2414C2212yescomplemented
247#2409C2212yescomplemented
248#2409C2212yescomplemented
249#2408C2212yes—
250#2408C2212yes—
251#2408C2212yes—
252#2408C2212yes—
253#2408C2212yes—
254#2407C2212yes—
255#2407C2212yescomplemented
256#2407C2212yescomplemented
257#2407C2212yescomplemented
258#2398C2212yescomplemented
259#2397C2212yescomplemented
260#2395C2212yescomplemented
261#2388C2212yescomplemented
262#2388C2212yescomplemented
263#2388C2212yescomplemented
264#2369C2212yescomplemented
265#2366C2211yescharacteristic
266#2366C2212yescomplemented
267#2365C2211yescharacteristic, complemented
268#2363C2212yescomplemented
269#2362C2212yescomplemented
270#2355C2211yescharacteristic, complemented
271#2354C2211yescharacteristic
272#2354C2211yescharacteristic
273#2354C2211yescharacteristic, complemented
274#2347C2212yescomplemented
275#2346C2212yescomplemented
276#2346C2212yescomplemented
277D4×C22⋊C4C2212yes—
278#2324C2212yescomplemented
279#2324C2212yescomplemented
280#2324C2212yescomplemented
281#2320C2212yescomplemented
282#2319C2212yescomplemented
283#2309C2212yes—
284C4×C4⋊Q8C2212yescomplemented
285C4×C22⋊Q8C2211yescharacteristic, complemented
286C4×C22⋊Q8C2211yescharacteristic, complemented
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291C4×#121C2211yescharacteristic, complemented
292C4×#121C2211yescharacteristic, complemented
293#2293C2212yescomplemented
294#2293C2212yescomplemented
295#2293C2212yescomplemented
296#2285C2211yescharacteristic, complemented
297#2283C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×Q8C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305#556—48no—
306#555—48no—
307D4×Q8—44no—
308#548—48no—
309#546—48no—
310D42—44no—
311#536—48no—
312#535—48no—
313#532—44no—
314#532—44no—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2311yescharacteristic
321C2×C4⋊Q8C2314yes—
322C2×C4⋊Q8C2312yes—
323C2×#127C2311yescharacteristic
324C2×#127C2314yes—
325C2×#127C2312yes—
326C2×#127C2311yescharacteristic
327#529—44no—
328C2×#126C2314yes—
329C2×#126C2312yes—
330C2×#126C2314yes—
331C2×#125C2311yescharacteristic
332C2×#124C2314yes—
333C2×#124C2314yes—
334C2×#124C2314yes—
335C2×#124C2314yes—
336C2×#124C2311yescharacteristic
337C2×#124C2312yes—
338C2×#124C2314yes—
339C2×#124C2312yes—
340C2×#124C2314yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2314yes—
344C2×#124C2314yes—
345C2×#124C2314yes—
346C2×#124C2314yes—
347C2×#123C2312yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2314yes—
362C2×#121C2312yes—
363C2×#121C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2311yescharacteristic
371C2×#121C2311yescharacteristic
372C2×#121C2311yescharacteristic
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2311yescharacteristic
376C2×#121C2311yescharacteristic
377C2×#121C2312yes—
378C2×#121C2311yescharacteristic
379C2×#121C2314yes—
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2312yes—
383C2×#121C2311yescharacteristic
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#120C2314yes—
390C2×#120C2314yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C4×#41—44no—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2314yes—
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2314yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2312yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2311yescharacteristic
427C2×#117C2311yescharacteristic
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2311yescharacteristic
431C2×#117C2311yescharacteristic
432C2×#117C2314yes—
433C2×#117C2311yescharacteristic
434C2×#117C2312yes—
435C22×C22⋊C4C2314yes—
436C22×C42C2311yescharacteristic
437C22×C42C2311yescharacteristic
438C22×C42C2311yescharacteristic
439#400C2312yes—
440#400C2314yes—
441#400C2314yes—
442#400C2314yes—
443#400C2312yes—
444#400C2312yes—
445#400C2314yes—
446#399C2312yes—
447#399C2314yes—
448#399C2314yes—
449#399C2312yes—
450#399C2314yes—
451#399C2312yes—
452#399C2312yes—
453#399C2314yes—
454#399C2312yes—
455#398C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2312yes—
467#397C2312yes—
468#397C2312yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#395C2314yes—
480#395C2314yes—
481#395C2312yes—
482#395C2314yes—
483#395C2314yes—
484#395C2314yes—
485#395C2312yes—
486#395C2312yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2312yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2312yes—
515#394C2312yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2312yes—
521#394C2312yes—
522#394C2312yes—
523#394C2314yes—
524#394C2312yes—
525#394C2314yes—
526#394C2312yes—
527#394C2312yes—
528#394C2314yes—
529#393C2314yes—
530#393C2314yes—
531#393C2314yes—
532#393C2314yes—
533#393C2314yes—
534#393C2314yes—
535#393C2314yes—
536#393C2314yes—
537#393C2314yes—
538#393C2314yes—
539#393C2314yes—
540#393C2314yes—
541#393C2314yes—
542#393C2314yes—
543#393C2314yes—
544#393C2312yes—
545#393C2312yes—
546#393C2314yes—
547#393C2312yes—
548#393C2314yes—
549#393C2314yes—
550#393C2314yes—
551#393C2314yes—
552#393C2312yes—
553#393C2312yes—
554#392C2312yes—
555#392C2312yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2312yes—
562#392C2312yes—
563#392C2312yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2312yes—
571#392C2314yes—
572#392C2314yes—
573#392C2312yes—
574#392C2312yes—
575#392C2314yes—
576#392C2314yes—
577#392C2312yes—
578#392C2312yes—
579#392C2312yes—
580#392C2312yes—
581#392C2312yes—
582#392C2314yes—
583#391C2314yes—
584#391C2312yes—
585#391C2312yes—
586#391C2314yes—
587#391C2311yescharacteristic
588#391C2311yescharacteristic
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2314yes—
593#391C2314yes—
594#390C2314yes—
595#390C2312yes—
596#390C2314yes—
597#390C2312yes—
598#390C2314yes—
599#390C2314yes—
600#390C2311yescharacteristic
601#390C2312yes—
602#390C2314yes—
603#390C2312yes—
604#390C2312yes—
605#390C2314yes—
606#390C2312yes—
607#390C2312yes—
608#390C2311yescharacteristic
609#390C2314yes—
610#390C2314yes—
611#390C2314yes—
612#390C2312yes—
613#390C2312yes—
614#390C2314yes—
615#390C2314yes—
616#390C2311yescharacteristic
617#390C2311yescharacteristic
618#390C2312yes—
619#390C2311yescharacteristic
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2314yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2311yescharacteristic
631#390C2312yes—
632#390C2314yes—
633#390C2314yes—
634#390C2312yes—
635#389C2311yescharacteristic
636#389C2312yes—
637#389C2314yes—
638#389C2311yescharacteristic
639#389C2312yes—
640#389C2311yescharacteristic
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2314yes—
647#389C2311yescharacteristic
648#389C2312yes—
649#389C2312yes—
650#389C2311yescharacteristic
651#389C2311yescharacteristic
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2311yescharacteristic
657#389C2311yescharacteristic
658#389C2314yes—
659#389C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2312yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2312yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2312yes—
687#388C2312yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2312yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2312yes—
697#388C2312yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2312yes—
707#387C2312yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2314yes—
730#386C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2312yes—
737#385C2312yes—
738#385C2314yes—
739#384C2312yes—
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#383C2314yes—
743#383C2314yes—
744#383C2312yes—
745#382C2311yescharacteristic
746#382C2314yes—
747#382C2314yes—
748#382C2314yes—
749#382C2314yes—
750#382C2312yes—
751#382C2312yes—
752#382C2311yescharacteristic
753#381C2314yes—
754#381C2312yes—
755#380C2311yescharacteristic
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2311yescharacteristic
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2314yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2314yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2311yescharacteristic
779#380C2311yescharacteristic
780#380C2311yescharacteristic
781#380C2314yes—
782#379C2314yes—
783#379C2314yes—
784#379C2314yes—
785#379C2314yes—
786#379C2314yes—
787#379C2314yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2314yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2314yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818#376C2312yes—
819#376C2314yes—
820#376C2312yes—
821C43C2312yes—
822C25C2414yes—
823C2×#41—42no—
824C2×#41—42no—
825C2×#41—42no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C22×Q8—44no—
833C22×Q8—44no—
834C22×Q8—44no—
835C22×Q8C2411yescharacteristic
836C22×Q8C2412yes—
837C22×Q8C2411yescharacteristic
838C22×Q8C2414yes—
839C22×Q8C2414yes—
840C22×Q8C2414yes—
841C22×Q8C2412yes—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4C2411yescharacteristic
849C22×D4C2412yes—
850C22×D4C2411yescharacteristic
851C22×D4C2412yes—
852C22×D4C2411yescharacteristic
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2411yescharacteristic
858C22×D4C2411yescharacteristic
859C22×D4C2411yescharacteristic
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2414yes—
868C22×D4C2412yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2412yes—
876C23×C4C2411yescharacteristic
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2411yescharacteristic
885C23×C4C2414yes—
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2411yescharacteristic
889C23×C4C2414yes—
890C23×C4C2414yes—
891C4⋊Q8—24no—
892C4⋊Q8—44no—
893C4⋊Q8—44no—
894C4⋊Q8—42no—
895C4⋊Q8—48no—
896C4⋊Q8—44no—
897C4⋊Q8—44no—
898C4⋊Q8—44no—
899#127—24no—
900#127—44no—
901#127—42no—
902#127—48no—
903#126—44no—
904#126—48no—
905#126—48no—
906#125—42no—
907#124—44no—
908#124—48no—
909#124—48no—
910#124—48no—
911#124—48no—
912#124—48no—
913#124—48no—
914#124—42no—
915#124—44no—
916#124—44no—
917#124—44no—
918#124—84no—
919#124—84no—
920#124—84no—
921#124—84no—
922#123—48no—
923#123—48no—
924#123—48no—
925#123—44no—
926C22⋊Q8—24no—
927C22⋊Q8—28no—
928C22⋊Q8—24no—
929C22⋊Q8—48no—
930C22⋊Q8—48no—
931C22⋊Q8—42no—
932C22⋊Q8—44no—
933C22⋊Q8—44no—
934C22⋊Q8—44no—
935C22⋊Q8—44no—
936C22⋊Q8—44no—
937#121—24no—
938#121—28no—
939#121—24no—
940#121—44no—
941#121—48no—
942#121—48no—
943#121—42no—
944#121—44no—
945#121—42no—
946#121—44no—
947#121—44no—
948#121—42no—
949#121—42no—
950#121—42no—
951#121—42no—
952#121—42no—
953#121—44no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—44no—
959#121—48no—
960#121—44no—
961#121—44no—
962#121—82no—
963#121—82no—
964#120—48no—
965#120—48no—
966#120—48no—
967#120—48no—
968#120—84no—
969#120—84no—
970C4×Q8—28no—
971C4×Q8—24no—
972C4×Q8—42no—
973C4×Q8—42no—
974C4×Q8—48no—
975C4×D4—28no—
976C4×D4—24no—
977C4×D4—24no—
978C4×D4—24no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—48no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—42no—
987C4×D4—42no—
988C4×D4—42no—
989C4×D4—42no—
990C4×D4—42no—
991C4×D4—42no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—44no—
998#117—28no—
999#117—28no—
1000#117—24no—
1001#117—24no—
1002#117—42no—
1003#117—42no—
1004#117—42no—
1005#117—44no—
1006#117—48no—
1007#117—44no—
1008#117—82no—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C22⋊C4—48no—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2414yes—
1145C2×C42—24no—
1146C2×C42—24no—
1147C2×C42—24no—
1148C2×C42C2411yescharacteristic
1149C2×C42C2412yes—
1150C2×C42C2411yescharacteristic
1151C2×C42C2414yes—
1152C2×C42C2411yescharacteristic
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155C2×C42C2414yes—
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2414yes—
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2412yes—
1167C2×C42C2414yes—
1168C2×C42C2414yes—
1169C2×C42C2412yes—
1170C2×C42C2414yes—
1171C2×C42C2412yes—
1172C2×C42C2411yescharacteristic
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2414yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225C24—44no—
1226C24—44no—
1227C24—44no—
1228C24—44no—
1229C24—44no—
1230C24—44no—
1231C24—44no—
1232C24C2512yes—
1233C24C2512yes—
1234C24C2514yes—
1235C24C2511yescharacteristic
1236C24C2511yescharacteristic
1237C24C2511yescharacteristic
1238C24C2512yes—
1239#41—416no—
1240#41—816no—
1241#41—816no—
1242C2×Q8—24no—
1243C2×Q8—22no—
1244C2×Q8—22no—
1245C2×Q8—24no—
1246C2×Q8—22no—
1247C2×Q8—24no—
1248C2×Q8—41no—
1249C2×Q8—41no—
1250C2×Q8—41no—
1251C2×Q8—44no—
1252C2×Q8—44no—
1253C2×Q8—44no—
1254C2×Q8—42no—
1255C2×Q8—44no—
1256C2×Q8—42no—
1257C2×Q8—44no—
1258C2×Q8—42no—
1259C2×Q8—44no—
1260C2×Q8—44no—
1261C2×Q8—44no—
1262C2×Q8—44no—
1263C2×Q8—816no—
1264C2×D4—22no—
1265C2×D4—24no—
1266C2×D4—22no—
1267C2×D4—22no—
1268C2×D4—24no—
1269C2×D4—22no—
1270C2×D4—24no—
1271C2×D4—22no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—28no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—24no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—41no—
1284C2×D4—41no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—41no—
1291C2×D4—41no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—44no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—44no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—816no—
1349C2×D4—816no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—24no—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—24no—
1367C22×C4—24no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—24no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—24no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—22no—
1380C22×C4—28no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—41no—
1390C22×C4—41no—
1391C22×C4—44no—
1392C22×C4—44no—
1393C22×C4—41no—
1394C22×C4—41no—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2511yescharacteristic
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2514yes—
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2514yes—
1411C22×C4C2512yes—
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2512yes—
1415C22×C4C2512yes—
1416C22×C4C2514yes—
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C22×C4C2512yes—
1420C22×C4C2512yes—
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C4⋊C4—24no—
1424C4⋊C4—22no—
1425C4⋊C4—24no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—22no—
1434C4⋊C4—28no—
1435C4⋊C4—24no—
1436C4⋊C4—28no—
1437C4⋊C4—24no—
1438C4⋊C4—22no—
1439C4⋊C4—24no—
1440C4⋊C4—22no—
1441C4⋊C4—24no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—41no—
1448C4⋊C4—41no—
1449C4⋊C4—41no—
1450C4⋊C4—41no—
1451C4⋊C4—41no—
1452C4⋊C4—41no—
1453C4⋊C4—44no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4H(5,𝔽2)14yes—
1474C4⋊C4H(5,𝔽2)14yes—
1475C22⋊C4—24no—
1476C22⋊C4—28no—
1477C22⋊C4—28no—
1478C22⋊C4—24no—
1479C22⋊C4—28no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—28no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—28no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—42no—
1490C22⋊C4—44no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—41no—
1497C22⋊C4—41no—
1498C22⋊C4—41no—
1499C22⋊C4—41no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—44no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—42no—
1538C22⋊C4—44no—
1539C22⋊C4—42no—
1540C22⋊C4—44no—
1541C22⋊C4—42no—
1542C22⋊C4—42no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4—42no—
1557C22⋊C4—44no—
1558C42—22no—
1559C42—22no—
1560C42—22no—
1561C42—22no—
1562C42—22no—
1563C42—22no—
1564C42—22no—
1565C42—22no—
1566C42—22no—
1567C42—24no—
1568C42—28no—
1569C42—24no—
1570C42—28no—
1571C42—24no—
1572C42—24no—
1573C42—24no—
1574C42—28no—
1575C42—24no—
1576C42—24no—
1577C42—42no—
1578C42—44no—
1579C42—44no—
1580C42—42no—
1581C42—44no—
1582C42H(5,𝔽2)14yes—
1583C23—21no—
1584C23—21no—
1585C23—22no—
1586C23—22no—
1587C23—21no—
1588C23—21no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—24no—
1594C23—24no—
1595C23—22no—
1596C23—22no—
1597C23—21no—
1598C23—24no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—22no—
1603C23—21no—
1604C23—22no—
1605C23—22no—
1606C23—21no—
1607C23—21no—
1608C23—24no—
1609C23—22no—
1610C23—22no—
1611C23—24no—
1612C23—22no—
1613C23—22no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—22no—
1621C23—24no—
1622C23—22no—
1623C23—22no—
1624C23—21no—
1625C23—21no—
1626C23—22no—
1627C23—24no—
1628C23—21no—
1629C23—21no—
1630C23—22no—
1631C23—22no—
1632C23—88no—
1633C23—88no—
1634C23—88no—
1635C23—164no—
1636C23—164no—
1637C23—164no—
1638C23—164no—
1639C23C2611yescharacteristic
1640Q8—44no—
1641Q8—44no—
1642Q8—48no—
1643Q8—88no—
1644Q8—88no—
1645Q8—84no—
1646Q8—164no—
1647D4—44no—
1648D4—44no—
1649D4—44no—
1650D4—44no—
1651D4—48no—
1652D4—44no—
1653D4—44no—
1654D4—48no—
1655D4—84no—
1656D4—84no—
1657D4—88no—
1658D4—84no—
1659D4—84no—
1660D4—84no—
1661D4—84no—
1662D4—84no—
1663D4—84no—
1664D4—84no—
1665D4—88no—
1666D4—88no—
1667D4—84no—
1668D4—84no—
1669D4—84no—
1670D4—88no—
1671D4—164no—
1672D4—164no—
1673D4—164no—
1674D4—164no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—24no—
1697C2×C4—24no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—24no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—24no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—24no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—24no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—24no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—24no—
1739C2×C4—22no—
1740C2×C4—24no—
1741C2×C4—22no—
1742C2×C4—21no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—21no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—44no—
1751C2×C4—48no—
1752C2×C4—44no—
1753C2×C4—44no—
1754C2×C4—44no—
1755C2×C4—44no—
1756C2×C4—48no—
1757C2×C4—48no—
1758C2×C4—44no—
1759C2×C4—44no—
1760C2×C4—82no—
1761C2×C4—82no—
1762C2×C4—88no—
1763C2×C4—88no—
1764C2×C4—88no—
1765C2×C4C2×H(5,𝔽2)14yes—
1766C2×C4C2×H(5,𝔽2)12yes—
1767C2×C4C2×H(5,𝔽2)14yes—
1768C2×C4C2×H(5,𝔽2)12yes—
1769C2×C4C2×H(5,𝔽2)12yes—
1770C2×C4C2×H(5,𝔽2)12yes—
1771C2×C4C2×H(5,𝔽2)12yes—
1772C2×C4#58512yes—
1773C2×C4#58512yes—
1774C22—41no—
1775C22—41no—
1776C22—41no—
1777C22—42no—
1778C22—42no—
1779C22—44no—
1780C22—42no—
1781C22—42no—
1782C22—41no—
1783C22—41no—
1784C22—42no—
1785C22—41no—
1786C22—44no—
1787C22—42no—
1788C22—41no—
1789C22—41no—
1790C22—41no—
1791C22—42no—
1792C22—44no—
1793C22—42no—
1794C22—42no—
1795C22—44no—
1796C22—42no—
1797C22—41no—
1798C22—41no—
1799C22—41no—
1800C22—41no—
1801C22—42no—
1802C22—44no—
1803C22—42no—
1804C22—42no—
1805C22—41no—
1806C22—41no—
1807C22—42no—
1808C22—42no—
1809C22—41no—
1810C22—41no—
1811C22—42no—
1812C22—42no—
1813C22—41no—
1814C22—41no—
1815C22—42no—
1816C22—42no—
1817C22—44no—
1818C22—42no—
1819C22—44no—
1820C22—41no—
1821C22—41no—
1822C22—42no—
1823C22—1616no—
1824C22C22×H(5,𝔽2)11yescharacteristic
1825C22C22×H(5,𝔽2)11yescharacteristic
1826C22C22×H(5,𝔽2)11yescharacteristic
1827C22C2×#58511yescharacteristic
1828C22C2×#58511yescharacteristic
1829C22H(7,𝔽2)11yescharacteristic
1830C222−1+611yescharacteristic
1831C4—22no—
1832C4—24no—
1833C4—24no—
1834C4—41no—
1835C4—41no—
1836C4—41no—
1837C4—42no—
1838C4—41no—
1839C4—41no—
1840C4—42no—
1841C4—41no—
1842C4—42no—
1843C4—44no—
1844C4—42no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—42no—
1849C4—42no—
1850C4—42no—
1851C4—42no—
1852C4—42no—
1853C4—44no—
1854C4—42no—
1855C4—44no—
1856C4—42no—
1857C4#354014yes—
1858C4#354914yes—
1859C2—81no—
1860C2—81no—
1861C2—81no—
1862C2—82no—
1863C2—84no—
1864C2—82no—
1865C2—82no—
1866C2C2×#354011yescharacteristic
1867C2C2×#354911yescharacteristic
1868C2#6287511yescharacteristic
1869C2#6292111yescharacteristic
1870C2#6292111yescharacteristic
1871C2#6292311yescharacteristic
1872C2#6292311yescharacteristic
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. #59234C2semidirect
2. #59233C2semidirect
3. #59080C2semidirect
4. #59035C2semidirect
5. #58884C2semidirect
6. #58744C2semidirect
7. #57170C2semidirect
8. #54954C2semidirect
9. #53055C2semidirect
10. #53046C2semidirect
11. #53015C2semidirect
12. #52990C2semidirect
13. #45402C2semidirect
14. #45093C2semidirect
15. #42995C2semidirect
16. #42987C2semidirect
17. #42887C2semidirect
18. #42731C2semidirect
19. #42677C2semidirect
20. #42532C2semidirect
21. #39343C2semidirect
22. #39342C2semidirect
23. #39201C2semidirect
24. #39124C2semidirect
25. #38941C2semidirect
26. #38940C2semidirect
27. #38910C2semidirect
28. #38206C2semidirect
29. #37636C2semidirect
30. #37334C2semidirect
31. #36473C2semidirect
32. #36273C2semidirect
33. #35292C2semidirect
34. #34911C2semidirect
35. #34609C2semidirect
36. C2×#556C22semidirect
37. C2×#555C22semidirect
38. C2×D4×Q8C22semidirect
39. C2×#548C22semidirect
42. C2×#536C22semidirect
47. C2×C4×#41C22semidirect
49. #2858C22semidirect
50. #2857C22semidirect
51. #2857C22semidirect
54. #2840C22semidirect
55. #2832C22semidirect
56. #2832C22semidirect
57. #2832C22semidirect
58. #2828C22semidirect
59. #2824C22semidirect
60. #2824C22semidirect
61. #2819C22semidirect
62. #2819C22semidirect
63. #2819C22semidirect
64. #2818C22semidirect
65. #2815C22semidirect
66. #2803C22semidirect
67. #2785C22semidirect
68. #2785C22semidirect
69. #2775C22semidirect
70. #2775C22semidirect
71. #2763C22semidirect
72. #2756C22semidirect
73. #2753C22semidirect
74. #2737C22semidirect
75. #2737C22semidirect
76. #2737C22semidirect
77. #2736C22semidirect
78. #2733C22semidirect
79. #2723C22semidirect
80. #2723C22semidirect
81. #2723C22semidirect
82. #2714C22semidirect
83. #2714C22semidirect
84. #2712C22semidirect
85. #2712C22semidirect
86. #2710C22semidirect
87. #2710C22semidirect
88. #2710C22semidirect
89. #2710C22semidirect
90. #2703C22semidirect
91. #2703C22semidirect
92. #2696C22semidirect
93. #2686C22semidirect
95. #2685C22semidirect
96. #2685C22semidirect
97. #2684C22semidirect
98. #2684C22semidirect
100. #2678C22semidirect
101. #2676C22semidirect
102. #2674C22semidirect
103. #2674C22semidirect
104. #2673C22semidirect
105. #2672C22semidirect
107. #2670C22semidirect
108. #2670C22semidirect
109. #2670C22semidirect
110. #2670C22semidirect
111. #2670C22semidirect
114. #2662C22semidirect
116. #2640C22semidirect
117. #2640C22semidirect
118. #2635C22semidirect
119. #2635C22semidirect
120. #2632C22semidirect
121. #2632C22semidirect
122. #2632C22semidirect
123. #2631C22semidirect
124. #2631C22semidirect
125. #2628C22semidirect
126. #2628C22semidirect
127. #2628C22semidirect
128. #2628C22semidirect
131. #2624C22semidirect
132. #2624C22semidirect
133. #2624C22semidirect
136. #2617C22semidirect
137. #2616C22semidirect
140. #2615C22semidirect
141. #2615C22semidirect
142. #2610C22semidirect
143. #2610C22semidirect
144. #2610C22semidirect
145. #2604C22semidirect
146. #2604C22semidirect
147. #2603C22semidirect
148. #2602C22semidirect
149. #2602C22semidirect
151. #2592C22semidirect
152. #2584C22semidirect
153. #2580C22semidirect
154. #2580C22semidirect
155. #2563C22semidirect
156. #2563C22semidirect
157. #2563C22semidirect
158. #2563C22semidirect
159. #2563C22semidirect
160. #2562C22semidirect
161. #2555C22semidirect
162. #2551C22semidirect
163. #2551C22semidirect
164. #2551C22semidirect
166. #2548C22semidirect
168. #2547C22semidirect
175. #2540C22semidirect
179. #2535C22semidirect
180. #2535C22semidirect
181. #2529C22semidirect
182. #2526C22semidirect
183. #2521C22semidirect
185. #2513C22semidirect
186. #2513C22semidirect
187. #2496C22semidirect
188. #2495C22semidirect
189. #2495C22semidirect
190. #2495C22semidirect
191. #2492C22semidirect
192. #2492C22semidirect
193. #2492C22semidirect
199. #2491C22semidirect
200. #2491C22semidirect
201. #2491C22semidirect
202. #2491C22semidirect
203. #2491C22semidirect
204. #2491C22semidirect
205. #2491C22semidirect
207. #2489C22semidirect
208. #2485C22semidirect
209. #2482C22semidirect
210. #2474C22semidirect
211. #2472C22semidirect
212. #2463C22semidirect
213. #2452C22semidirect
215. #2445C22semidirect
216. #2439C22semidirect
218. #2436C22semidirect
222. #2428C22semidirect
223. #2428C22semidirect
225. #2427C22semidirect
227. #2426C22semidirect
229. #2422C22semidirect
230. #2420C22semidirect
232. #2418C22semidirect
233. #2415C22semidirect
234. #2415C22semidirect
235. #2415C22semidirect
236. #2415C22semidirect
237. #2415C22semidirect
243. #2414C22semidirect
244. #2414C22semidirect
245. #2414C22semidirect
246. #2414C22semidirect
247. #2409C22semidirect
248. #2409C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
258. #2398C22semidirect
259. #2397C22semidirect
260. #2395C22semidirect
261. #2388C22semidirect
262. #2388C22semidirect
263. #2388C22semidirect
264. #2369C22semidirect
266. #2366C22semidirect
267. #2365C22semidirect
268. #2363C22semidirect
269. #2362C22semidirect
270. #2355C22semidirect
273. #2354C22semidirect
274. #2347C22semidirect
275. #2346C22semidirect
276. #2346C22semidirect
278. #2324C22semidirect
279. #2324C22semidirect
280. #2324C22semidirect
281. #2320C22semidirect
282. #2319C22semidirect
284. C4×C4⋊Q8C22semidirect
285. C4×C22⋊Q8C22semidirect
286. C4×C22⋊Q8C22semidirect
291. C4×#121C22semidirect
292. C4×#121C22semidirect
293. #2293C22semidirect
294. #2293C22semidirect
295. #2293C22semidirect
296. #2285C22semidirect
297. #2283C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#592342
#592332
#590802
#590352
#588842
#587442
#571702
#549542
#530552
#530462
#530152
#529902
#454022
#450932
#429952
#429872
#428872
#427312
#426772
#425322
#393432
#393422
#392012
#391242
#389412
#389402
#389102
#382062
#376362
#373342
#364732
#362732
#352922
#349112
#346092