Finite Group Databasebeta

← #8424647

Subgroups — #8424647

Order 512.

5382 conjugacy classes of subgroups.

The subgroup lattice has 1815 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59650C212yesmaximal, complemented
2#59641C211yesmaximal, characteristic, complemented
3#59147C212yesmaximal, complemented
4#59124C211yesmaximal, characteristic, complemented
5#59078C211yesmaximal, characteristic, complemented
6#53871C214yesmaximal, complemented
7#53831C214yesmaximal, complemented
8#53080C212yesmaximal, complemented
9#52995C212yesmaximal, complemented
10#52979C212yesmaximal, complemented
11#52964C212yesmaximal, complemented
12#52312C214yesmaximal, complemented
13#42897C212yesmaximal, complemented
14#42881C212yesmaximal, complemented
15#42838C212yesmaximal, complemented
16#42520C212yesmaximal, complemented
17#40539C214yesmaximal, complemented
18#39771C211yesmaximal, characteristic, complemented
19#39495C212yesmaximal, complemented
20#39486C212yesmaximal, complemented
21#39351C211yesmaximal, characteristic, complemented
22#39174C211yesmaximal, characteristic, complemented
23#38909C211yesmaximal, characteristic, complemented
24#38078C212yesmaximal, complemented
25#37696C212yesmaximal, complemented
26#37629C211yesmaximal, characteristic, complemented
27#37616C211yesmaximal, characteristic, complemented
28#37493C212yesmaximal, complemented
29#37492C212yesmaximal, complemented
30#36577C211yesmaximal, characteristic, complemented
31#36561C211yesmaximal, characteristic, complemented
32#36121C211yesmaximal, characteristic, complemented
33C2×#2548C211yesmaximal, characteristic, complemented
34#34772C211yesmaximal, characteristic, complemented
35#34708C211yesmaximal, characteristic, complemented
36C2×#559C2212yescomplemented
37C2×#557C2211yescharacteristic, complemented
38C2×#554C2212yes—
39C2×#550C2211yescharacteristic
40C2×#546C2212yes—
41C2×#546C2212yes—
42C2×#542C2212yescomplemented
43C2×#532C2211yescharacteristic
44C22×#127C2211yescharacteristic
45C2×#529C2211yescharacteristic, complemented
46C22×#124C2212yes—
47C22×C4×Q8C2211yescharacteristic
48#2858C2211yescharacteristic
49#2857C2211yescharacteristic
50#2857C2212yes—
51#2857C2212yes—
52#2856C2211yescharacteristic
53#2837C2214yescomplemented
54#2830C2214yescomplemented
55#2830C2214yescomplemented
56#2829C2214yescomplemented
57#2829C2214yescomplemented
58#2829C2214yescomplemented
59#2828C2214yescomplemented
60#2827C2214yescomplemented
61#2826C2214yescomplemented
62#2824C2214yescomplemented
63#2824C2214yescomplemented
64#2819C2214yescomplemented
65#2816C2214yescomplemented
66#2813C2214yescomplemented
67#2804C2214yescomplemented
68#2796C2214yescomplemented
69#2782C2214yescomplemented
70#2781C2214yescomplemented
71#2780C2214yescomplemented
72#2780C2214yescomplemented
73#2751C2214yescomplemented
74#2750C2214yescomplemented
75#2732C2214yescomplemented
76#2724C2214yescomplemented
77#2723C2214yescomplemented
78#2715C2214yescomplemented
79#2712C2214yescomplemented
80#2712C2214yescomplemented
81#2711C2214yescomplemented
82#2711C2214yescomplemented
83#2711C2214yescomplemented
84#2711C2214yescomplemented
85#2710C2214yescomplemented
86#2710C2214yescomplemented
87#2710C2214yescomplemented
88#2708C2214yescomplemented
89#2701C2214yescomplemented
90#2701C2214yescomplemented
91#2700C2214yescomplemented
92#2696C2214yescomplemented
93#2694C2214yescomplemented
94#2694C2214yescomplemented
95#2691C2214yescomplemented
96#2682C2214yescomplemented
97#2682C2214yescomplemented
98#2681C2214yescomplemented
99#2681C2214yescomplemented
100#2681C2214yescomplemented
101#2673C2214yes—
102#2672C2214yescomplemented
103#2671C2214yescomplemented
104#2662C2214yescomplemented
105#2661C2214yescomplemented
106#2651C2214yescomplemented
107#2649C2214yescomplemented
108#2648C2214yescomplemented
109#2644C2212yescomplemented
110#2644C2212yescomplemented
111#2641C2212yescomplemented
112#2640C2212yescomplemented
113#2640C2212yescomplemented
114#2640C2212yescomplemented
115#2638C2214yescomplemented
116#2636C2214yescomplemented
117#2636C2214yescomplemented
118#2626C2214yes—
119#2624C2212yescomplemented
120#2624C2212yescomplemented
121#2622C2214yes—
122#2620C2212yescomplemented
123#2620C2212yescomplemented
124#2620C2212yescomplemented
125#2619C2212yescomplemented
126#2617C2214yes—
127#2592C2212yescomplemented
128#2582C2212yescomplemented
129#2582C2211yescharacteristic, complemented
130#2580C2212yescomplemented
131#2580C2212yescomplemented
132#2568C2212yescomplemented
133#2568C2211yescharacteristic, complemented
134#2566C2212yescomplemented
135#2566C2212yescomplemented
136#2564C2214yes—
137#2558C2214yescomplemented
138#2557C2214yescomplemented
139#2556C2214yescomplemented
140#2551C2211yescharacteristic, complemented
141#2548C2212yes—
142#2548C2211yescharacteristic
143#2548C2212yes—
144#2548C2214yes—
145#2548C2212yes—
146#2548C2211yescharacteristic
147#2548C2212yes—
148#2548C2211yescharacteristic
149#2548C2211yescharacteristic
150#2548C2211yescharacteristic
151#2548C2212yescomplemented
152#2545C2212yescomplemented
153#2544C2212yes—
154#2544C2212yescomplemented
155#2544C2212yescomplemented
156#2542C2211yescharacteristic, complemented
157#2542C2212yescomplemented
158#2541C2212yes—
159#2541C2211yescharacteristic
160#2540C2214yescomplemented
161#2522C2212yescomplemented
162#2520C2212yescomplemented
163#2513C2212yescomplemented
164#2512C2212yescomplemented
165#2511C2211yescharacteristic, complemented
166#2507C2211yescharacteristic, complemented
167#2506C2212yescomplemented
168#2505C2212yes—
169#2502C2211yescharacteristic
170#2501C2212yescomplemented
171#2497C2211yescharacteristic, complemented
172#2492C2211yescharacteristic, complemented
173#2492C2212yescomplemented
174#2491C2212yescomplemented
175#2491C2212yescomplemented
176#2490C2212yescomplemented
177#2487C2211yescharacteristic
178#2481C2212yes—
179#2480C2214yes—
180#2472C2214yes—
181#2472C2214yes—
182#2469C2212yescomplemented
183#2460C2214yescomplemented
184#2459C2214yescomplemented
185#2458C2212yescomplemented
186#2455C2214yescomplemented
187#2454C2212yescomplemented
188#2454C2212yescomplemented
189#2453C2212yescomplemented
190#2453C2214yescomplemented
191#2453C2211yescharacteristic, complemented
192#2452C2212yescomplemented
193#2452C2212yescomplemented
194#2452C2212yescomplemented
195#2452C2212yescomplemented
196#2450C2212yes—
197#2448C2212yescomplemented
198#2448C2211yescharacteristic, complemented
199#2448C2212yescomplemented
200#2448C2212yescomplemented
201#2448C2212yescomplemented
202#2447C2212yescomplemented
203#2447C2212yescomplemented
204#2447C2212yescomplemented
205#2447C2212yescomplemented
206#2445C2212yes—
207#2445C2212yes—
208#2445C2212yes—
209#2445C2212yescomplemented
210#2443C2212yes—
211#2442C2211yescharacteristic
212#2442C2212yes—
213#2442C2214yes—
214#2440C2211yescharacteristic
215#2437C2214yes—
216#2437C2214yes—
217#2437C2214yes—
218#2436C2211yescharacteristic
219#2435C2212yes—
220#2433C2212yes—
221#2432C2212yescomplemented
222#2432C2212yescomplemented
223#2432C2212yescomplemented
224#2431C2212yes—
225#2431C2212yes—
226#2428C2212yes—
227#2428C2212yes—
228#2428C2212yes—
229#2428C2212yescomplemented
230#2427C2212yescomplemented
231#2426C2212yescomplemented
232#2426C2212yescomplemented
233#2426C2212yescomplemented
234#2426C2211yescharacteristic, complemented
235#2424C2214yes—
236#2422C2212yescomplemented
237#2422C2212yescomplemented
238#2421C2211yescharacteristic, complemented
239#2418C2214yes—
240#2418C2214yes—
241#2417C2211yescharacteristic
242#2417C2212yes—
243#2416C2211yescharacteristic
244#2416C2212yescomplemented
245#2412C2214yes—
246#2412C2214yes—
247#2410C2214yes—
248#2409C2211yescharacteristic
249#2408C2212yes—
250#2408C2212yes—
251#2408C2212yes—
252#2407C2212yescomplemented
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2402C2212yescomplemented
256#2398C2212yescomplemented
257#2396C2212yescomplemented
258#2396C2212yescomplemented
259C2×#394C2214yes—
260#2367C2212yescomplemented
261#2366C2211yescharacteristic
262#2365C2211yescharacteristic, complemented
263#2361C2212yescomplemented
264#2360C2212yescomplemented
265#2358C2214yes—
266#2351C2212yescomplemented
267Q8×C4⋊C4C2211yescharacteristic, complemented
268D4×C4⋊C4C2211yescharacteristic, complemented
269#2341C2212yescomplemented
270Q8×C22⋊C4C2212yes—
271D4×C22⋊C4C2212yes—
272D4×C22⋊C4C2212yes—
273D4×C22⋊C4C2212yes—
274#2326C2212yescomplemented
275#2326C2212yescomplemented
276#2315C2214yes—
277#2311C2212yescomplemented
278C4×C4⋊Q8C2211yescharacteristic, complemented
279C4×#127C2211yescharacteristic
280C4×#124C2211yescharacteristic, complemented
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic, complemented
285C4×C22⋊Q8C2211yescharacteristic, complemented
286C4×#121C2212yes—
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289#2295C2211yescharacteristic, complemented
290#2295C2211yescharacteristic, complemented
291C2×#390C2212yes—
292C2×#390C2212yes—
293C2×#390C2212yes—
294#2290C2212yes—
295#2290C2212yes—
296#2285C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×Q8C2311yescharacteristic
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305#559—48no—
306#557—44no—
307#554—48no—
308#550—44no—
309#546—48no—
310#546—48no—
311#542—48no—
312#532—44no—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×#127—44no—
319C2×#127C2311yescharacteristic
320C2×#127C2311yescharacteristic
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326#529—44no—
327C2×#126C2312yes—
328C2×#126C2314yes—
329C2×#125C2311yescharacteristic
330C2×#125C2312yes—
331C2×#125C2314yes—
332C2×#125C2314yes—
333C2×#124—48no—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2311yescharacteristic
337C2×#124C2314yes—
338C2×#124C2314yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2314yes—
346C2×#124C2314yes—
347C2×#124C2311yescharacteristic
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2312yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2311yescharacteristic
364C2×C22⋊Q8C2314yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2314yes—
367C2×C22⋊Q8C2314yes—
368C2×#121C2311yescharacteristic
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2311yescharacteristic
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#120C2314yes—
385C2×#120C2314yes—
386C2×#120C2314yes—
387C2×C4×Q8—44no—
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2311yescharacteristic
399C2×C4×Q8C2312yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2312yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2314yes—
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×D4C2312yes—
417C2×#117C2312yes—
418C2×#117C2312yes—
419C22×C4⋊C4C2311yescharacteristic
420C22×C4⋊C4C2312yes—
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2311yescharacteristic
423C22×C4⋊C4C2311yescharacteristic
424C22×C22⋊C4C2314yes—
425C22×C22⋊C4C2314yes—
426C22×C22⋊C4C2314yes—
427C22×C22⋊C4C2314yes—
428C22×C22⋊C4C2314yes—
429C22×C22⋊C4C2314yes—
430C22×C42C2311yescharacteristic
431C22×C42C2311yescharacteristic
432C22×C42C2312yes—
433C22×C42C2312yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2312yes—
439#400C2312yes—
440#400C2312yes—
441#400C2312yes—
442#400C2312yes—
443#400C2312yes—
444#400C2312yes—
445#400C2312yes—
446#399C2312yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#399C2312yes—
456#398C2312yes—
457#398C2314yes—
458#398C2312yes—
459#398C2312yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2312yes—
464#398C2312yes—
465#398C2312yes—
466#398C2312yes—
467#398C2312yes—
468#397C2312yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2312yes—
495#396C2312yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2312yes—
501#396C2314yes—
502#396C2314yes—
503#396C2312yes—
504#395C2314yes—
505#395C2312yes—
506#395C2312yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2312yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2312yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#393C2314yes—
547#393C2314yes—
548#393C2312yes—
549#393C2314yes—
550#393C2314yes—
551#393C2314yes—
552#393C2314yes—
553#393C2314yes—
554#393C2314yes—
555#393C2312yes—
556#393C2312yes—
557#393C2312yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#391C2312yes—
569#391C2311yescharacteristic
570#391C2312yes—
571#391C2312yes—
572#391C2311yescharacteristic
573#391C2312yes—
574#391C2312yes—
575#391C2312yes—
576#391C2314yes—
577#391C2311yescharacteristic
578#391C2312yes—
579#391C2314yes—
580#391C2311yescharacteristic
581#391C2314yes—
582#391C2312yes—
583#391C2311yescharacteristic
584#391C2311yescharacteristic
585#391C2311yescharacteristic
586#391C2311yescharacteristic
587#391C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2314yes—
598#390C2314yes—
599#390C2314yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2314yes—
611#390C2312yes—
612#390C2314yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2311yescharacteristic
620#390C2314yes—
621#390C2314yes—
622#390C2314yes—
623#390C2312yes—
624#390C2312yes—
625#390C2314yes—
626#390C2314yes—
627#390C2312yes—
628#390C2312yes—
629#390C2311yescharacteristic
630#389C2311yescharacteristic
631#389C2311yescharacteristic
632#389C2312yes—
633#389C2311yescharacteristic
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2314yes—
638#389C2312yes—
639#389C2311yescharacteristic
640#389C2312yes—
641#389C2314yes—
642#389C2312yes—
643#389C2314yes—
644#389C2314yes—
645#389C2312yes—
646#389C2314yes—
647#389C2312yes—
648#389C2311yescharacteristic
649#389C2312yes—
650#389C2311yescharacteristic
651#389C2311yescharacteristic
652#389C2311yescharacteristic
653#389C2311yescharacteristic
654#389C2311yescharacteristic
655#389C2312yes—
656#389C2312yes—
657#388C2312yes—
658#388C2314yes—
659#388C2312yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2312yes—
674#388C2312yes—
675#388C2314yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2312yes—
681#387C2314yes—
682#387C2314yes—
683#387C2312yes—
684#387C2314yes—
685#387C2312yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#387C2312yes—
692#387C2312yes—
693#387C2312yes—
694#387C2312yes—
695#387C2312yes—
696#387C2312yes—
697#386C2312yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2312yes—
712#386C2314yes—
713#386C2312yes—
714#386C2314yes—
715#386C2312yes—
716#386C2314yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2312yes—
739#385C2312yes—
740#385C2314yes—
741#385C2314yes—
742#385C2312yes—
743#385C2312yes—
744#385C2312yes—
745#385C2312yes—
746#385C2312yes—
747#385C2312yes—
748#385C2312yes—
749#384C2311yescharacteristic
750#384C2311yescharacteristic
751#384C2312yes—
752#384C2312yes—
753#384C2311yescharacteristic
754#384C2311yescharacteristic
755#382C2314yes—
756#382C2311yescharacteristic
757#382C2312yes—
758#382C2312yes—
759#381C2314yes—
760#381C2314yes—
761#380C2312yes—
762#380C2314yes—
763#380C2314yes—
764#380C2314yes—
765#380C2312yes—
766#380C2312yes—
767#380C2314yes—
768#380C2311yescharacteristic
769#380C2312yes—
770#380C2314yes—
771#380C2311yescharacteristic
772#380C2314yes—
773#380C2312yes—
774#380C2311yescharacteristic
775#380C2311yescharacteristic
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#380C2312yes—
779#379C2314yes—
780#379C2314yes—
781#379C2314yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818#376C2312yes—
819#376C2312yes—
820C2×#95C2312yes—
821C43C2311yescharacteristic
822C25C2414yes—
823C2×#41—44no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C22×Q8—24no—
830C22×Q8—24no—
831C22×Q8—42no—
832C22×Q8C2412yes—
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×Q8C2414yes—
839C22×D4—28no—
840C22×D4—28no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—82no—
848C22×D4C2412yes—
849C22×D4C2411yescharacteristic
850C22×D4C2411yescharacteristic
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2412yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2411yescharacteristic
878C23×C4C2414yes—
879C23×C4C2414yes—
880C23×C4C2414yes—
881C23×C4C2414yes—
882C23×C4C2414yes—
883C4⋊Q8—24no—
884C4⋊Q8—42no—
885C4⋊Q8—44no—
886C4⋊Q8—44no—
887C4⋊Q8—44no—
888#127—24no—
889#127—24no—
890#127—44no—
891#127—44no—
892#127—44no—
893#127—44no—
894#127—44no—
895#126—44no—
896#126—48no—
897#125—42no—
898#125—44no—
899#125—48no—
900#125—48no—
901#124—28no—
902#124—28no—
903#124—24no—
904#124—48no—
905#124—48no—
906#124—44no—
907#124—44no—
908#124—44no—
909#124—42no—
910#124—44no—
911#124—44no—
912#124—44no—
913#124—48no—
914#124—48no—
915#123—48no—
916#123—48no—
917#123—48no—
918#123—44no—
919#123—48no—
920#123—48no—
921#123—84no—
922C22⋊Q8—24no—
923C22⋊Q8—24no—
924C22⋊Q8—28no—
925C22⋊Q8—44no—
926C22⋊Q8—48no—
927C22⋊Q8—48no—
928C22⋊Q8—48no—
929C22⋊Q8—44no—
930C22⋊Q8—42no—
931C22⋊Q8—42no—
932C22⋊Q8—44no—
933C22⋊Q8—84no—
934C22⋊Q8—84no—
935#121—24no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—44no—
940#121—42no—
941#121—44no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—44no—
946#121—44no—
947#121—44no—
948#121—84no—
949#121—84no—
950#121—82no—
951#120—48no—
952#120—48no—
953#120—48no—
954C4×Q8—28no—
955C4×Q8—24no—
956C4×Q8—24no—
957C4×Q8—24no—
958C4×Q8—44no—
959C4×Q8—44no—
960C4×Q8—44no—
961C4×Q8—42no—
962C4×Q8—42no—
963C4×Q8—44no—
964C4×Q8—44no—
965C4×Q8—44no—
966C4×D4—24no—
967C4×D4—28no—
968C4×D4—24no—
969C4×D4—24no—
970C4×D4—48no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—42no—
981C4×D4—48no—
982C4×D4—82no—
983#117—44no—
984#117—44no—
985C2×C4⋊C4—24no—
986C2×C4⋊C4—42no—
987C2×C4⋊C4—42no—
988C2×C4⋊C4—44no—
989C2×C4⋊C4—44no—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C22⋊C4—48no—
1055C2×C22⋊C4—48no—
1056C2×C22⋊C4—48no—
1057C2×C22⋊C4—48no—
1058C2×C22⋊C4—48no—
1059C2×C22⋊C4—84no—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2411yescharacteristic
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C42—24no—
1130C2×C42—24no—
1131C2×C42—44no—
1132C2×C42—44no—
1133C2×C42C2411yescharacteristic
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2412yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2414yes—
1144C2×C42C2412yes—
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2414yes—
1153C2×C42C2411yescharacteristic
1154C2×C42C2414yes—
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2411yescharacteristic
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2411yescharacteristic
1175#95C2411yescharacteristic
1176#95C2411yescharacteristic
1177#95C2411yescharacteristic
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220C24—28no—
1221C24—28no—
1222C24—28no—
1223C24—44no—
1224C24—44no—
1225C24—44no—
1226C24—44no—
1227C24C2514yes—
1228C24C2514yes—
1229C24C2511yescharacteristic
1230C24C2512yes—
1231C24C2511yescharacteristic
1232#41—816no—
1233#41—816no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—22no—
1237C2×Q8—24no—
1238C2×Q8—24no—
1239C2×Q8—22no—
1240C2×Q8—24no—
1241C2×Q8—22no—
1242C2×Q8—22no—
1243C2×Q8—24no—
1244C2×Q8—22no—
1245C2×Q8—24no—
1246C2×Q8—22no—
1247C2×Q8—42no—
1248C2×Q8—42no—
1249C2×Q8—42no—
1250C2×Q8—42no—
1251C2×Q8—44no—
1252C2×Q8—44no—
1253C2×Q8—44no—
1254C2×Q8—416no—
1255C2×Q8H(5,𝔽2)14yes—
1256C2×D4—24no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—24no—
1260C2×D4—22no—
1261C2×D4—24no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—28no—
1274C2×D4—24no—
1275C2×D4—22no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—28no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—42no—
1291C2×D4—44no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—42no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—816no—
1314C2×D4—816no—
1315C2×D4—816no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—24no—
1321C22×C4—22no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—22no—
1331C22×C4—24no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—24no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—42no—
1338C22×C4—41no—
1339C22×C4—42no—
1340C22×C4—42no—
1341C22×C4—42no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—44no—
1348C22×C4—44no—
1349C22×C4—41no—
1350C22×C4—41no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4H(5,𝔽2)14yes—
1363C22×C42−1+414yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2511yescharacteristic
1371C22×C4C2512yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2512yes—
1378C22×C4C2512yes—
1379C22×C4C2514yes—
1380C22×C4C2512yes—
1381C22×C4C2514yes—
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2512yes—
1385C22×C4C2511yescharacteristic
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2511yescharacteristic
1389C22×C4C2512yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C4⋊C4—22no—
1395C4⋊C4—24no—
1396C4⋊C4—22no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—22no—
1411C4⋊C4—24no—
1412C4⋊C4—28no—
1413C4⋊C4—24no—
1414C4⋊C4—28no—
1415C4⋊C4—24no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—44no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—41no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—44no—
1434C4⋊C4—42no—
1435C4⋊C4—44no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—44no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—44no—
1447C4⋊C4—42no—
1448C4⋊C4—44no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—44no—
1454C4⋊C4—44no—
1455C4⋊C4—42no—
1456C4⋊C4—44no—
1457C4⋊C4—42no—
1458C22⋊C4—22no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—28no—
1462C22⋊C4—22no—
1463C22⋊C4—22no—
1464C22⋊C4—24no—
1465C22⋊C4—28no—
1466C22⋊C4—28no—
1467C22⋊C4—28no—
1468C22⋊C4—28no—
1469C22⋊C4—22no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—22no—
1476C22⋊C4—24no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—41no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—42no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—24no—
1534C42—24no—
1535C42—24no—
1536C42—24no—
1537C42—24no—
1538C42—22no—
1539C42—24no—
1540C42—22no—
1541C42—24no—
1542C42—28no—
1543C42—22no—
1544C42—22no—
1545C42—42no—
1546C42—42no—
1547C42—42no—
1548C42—42no—
1549C42—41no—
1550C42—44no—
1551C42—41no—
1552C42—44no—
1553C42H(5,𝔽2)14yes—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—24no—
1560C23—24no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—21no—
1565C23—24no—
1566C23—24no—
1567C23—21no—
1568C23—24no—
1569C23—24no—
1570C23—21no—
1571C23—22no—
1572C23—24no—
1573C23—24no—
1574C23—21no—
1575C23—24no—
1576C23—24no—
1577C23—21no—
1578C23—22no—
1579C23—24no—
1580C23—24no—
1581C23—22no—
1582C23—24no—
1583C23—24no—
1584C23—22no—
1585C23—21no—
1586C23—416no—
1587C23—88no—
1588C23—88no—
1589C23—88no—
1590C23—88no—
1591C23—88no—
1592C23—88no—
1593C23C2×H(5,𝔽2)12yes—
1594C23C2×2−1+412yes—
1595C23#58512yes—
1596C23C2611yescharacteristic
1597Q8—28no—
1598Q8—48no—
1599Q8—44no—
1600Q8—48no—
1601Q8—44no—
1602Q8—84no—
1603Q8—164no—
1604D4—48no—
1605D4—48no—
1606D4—44no—
1607D4—44no—
1608D4—48no—
1609D4—48no—
1610D4—48no—
1611D4—48no—
1612D4—88no—
1613D4—88no—
1614D4—84no—
1615D4—88no—
1616D4—84no—
1617D4—88no—
1618D4—88no—
1619D4—88no—
1620D4—164no—
1621D4—164no—
1622D4—164no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—28no—
1632C2×C4—28no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—24no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—24no—
1657C2×C4—24no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—24no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—24no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—44no—
1706C2×C4—48no—
1707C2×C4—44no—
1708C2×C4—48no—
1709C2×C4—44no—
1710C2×C4—82no—
1711C2×C4—84no—
1712C2×C4—84no—
1713C2×C4—84no—
1714C2×C4—88no—
1715C2×C4—88no—
1716C2×C4—164no—
1717C2×C4—164no—
1718C2×C4—164no—
1719C2×C4C2×H(5,𝔽2)12yes—
1720C2×C4C2×H(5,𝔽2)14yes—
1721C2×C4C2×H(5,𝔽2)12yes—
1722C2×C4C2×H(5,𝔽2)12yes—
1723C2×C4C2×H(5,𝔽2)12yes—
1724C2×C4C2×H(5,𝔽2)12yes—
1725C2×C4C2×H(5,𝔽2)12yes—
1726C2×C4C2×2−1+412yes—
1727C2×C4C2×2−1+412yes—
1728C2×C4#58512yes—
1729C22—22no—
1730C22—22no—
1731C22—22no—
1732C22—22no—
1733C22—22no—
1734C22—22no—
1735C22—41no—
1736C22—44no—
1737C22—44no—
1738C22—42no—
1739C22—41no—
1740C22—42no—
1741C22—44no—
1742C22—44no—
1743C22—42no—
1744C22—41no—
1745C22—44no—
1746C22—44no—
1747C22—42no—
1748C22—44no—
1749C22—41no—
1750C22—44no—
1751C22—42no—
1752C22—44no—
1753C22—44no—
1754C22—41no—
1755C22—41no—
1756C22—44no—
1757C22—44no—
1758C22—42no—
1759C22—41no—
1760C22—42no—
1761C22—44no—
1762C22—44no—
1763C22—1616no—
1764C22#355414yes—
1765C22C22×H(5,𝔽2)11yescharacteristic
1766C22C22×H(5,𝔽2)11yescharacteristic
1767C22C22×H(5,𝔽2)11yescharacteristic
1768C22C22×2−1+411yescharacteristic
1769C22C2×#58511yescharacteristic
1770C22C2×#58511yescharacteristic
1771C22H(7,𝔽2)11yescharacteristic
1772C4—22no—
1773C4—24no—
1774C4—22no—
1775C4—22no—
1776C4—41no—
1777C4—42no—
1778C4—42no—
1779C4—41no—
1780C4—42no—
1781C4—44no—
1782C4—42no—
1783C4—41no—
1784C4—42no—
1785C4—42no—
1786C4—42no—
1787C4—41no—
1788C4—42no—
1789C4—42no—
1790C4—41no—
1791C4—42no—
1792C4—44no—
1793C4—42no—
1794C4—41no—
1795C4—41no—
1796C4—42no—
1797C4—42no—
1798C4—42no—
1799C4—41no—
1800C4#353614yes—
1801C4#355814yes—
1802C2—24no—
1803C2—81no—
1804C2—82no—
1805C2—84no—
1806C2—84no—
1807C2C2×#353611yescharacteristic
1808C2C2×#355811yescharacteristic
1809C2C2×#355411yescharacteristic
1810C2#6291611yescharacteristic
1811C2#6292411yescharacteristic
1812C2#6296211yescharacteristic
1813C2#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. #59650C2semidirect
2. #59641C2semidirect
3. #59147C2semidirect
4. #59124C2semidirect
5. #59078C2semidirect
6. #53871C2semidirect
7. #53831C2semidirect
8. #53080C2semidirect
9. #52995C2semidirect
10. #52979C2semidirect
11. #52964C2semidirect
12. #52312C2semidirect
13. #42897C2semidirect
14. #42881C2semidirect
15. #42838C2semidirect
16. #42520C2semidirect
17. #40539C2semidirect
18. #39771C2semidirect
19. #39495C2semidirect
20. #39486C2semidirect
21. #39351C2semidirect
22. #39174C2semidirect
23. #38909C2semidirect
24. #38078C2semidirect
25. #37696C2semidirect
26. #37629C2semidirect
27. #37616C2semidirect
28. #37493C2semidirect
29. #37492C2semidirect
30. #36577C2semidirect
31. #36561C2semidirect
32. #36121C2semidirect
33. C2×#2548C2semidirect
34. #34772C2semidirect
35. #34708C2semidirect
36. C2×#559C22semidirect
37. C2×#557C22semidirect
42. C2×#542C22semidirect
45. C2×#529C22semidirect
53. #2837C22semidirect
54. #2830C22semidirect
55. #2830C22semidirect
56. #2829C22semidirect
57. #2829C22semidirect
58. #2829C22semidirect
59. #2828C22semidirect
60. #2827C22semidirect
61. #2826C22semidirect
62. #2824C22semidirect
63. #2824C22semidirect
64. #2819C22semidirect
65. #2816C22semidirect
66. #2813C22semidirect
67. #2804C22semidirect
68. #2796C22semidirect
69. #2782C22semidirect
70. #2781C22semidirect
71. #2780C22semidirect
72. #2780C22semidirect
73. #2751C22semidirect
74. #2750C22semidirect
75. #2732C22semidirect
76. #2724C22semidirect
77. #2723C22semidirect
78. #2715C22semidirect
79. #2712C22semidirect
80. #2712C22semidirect
81. #2711C22semidirect
82. #2711C22semidirect
83. #2711C22semidirect
84. #2711C22semidirect
85. #2710C22semidirect
86. #2710C22semidirect
87. #2710C22semidirect
88. #2708C22semidirect
89. #2701C22semidirect
90. #2701C22semidirect
91. #2700C22semidirect
92. #2696C22semidirect
93. #2694C22semidirect
94. #2694C22semidirect
95. #2691C22semidirect
96. #2682C22semidirect
97. #2682C22semidirect
98. #2681C22semidirect
99. #2681C22semidirect
100. #2681C22semidirect
102. #2672C22semidirect
103. #2671C22semidirect
104. #2662C22semidirect
105. #2661C22semidirect
106. #2651C22semidirect
107. #2649C22semidirect
108. #2648C22semidirect
109. #2644C22semidirect
110. #2644C22semidirect
111. #2641C22semidirect
112. #2640C22semidirect
113. #2640C22semidirect
114. #2640C22semidirect
115. #2638C22semidirect
116. #2636C22semidirect
117. #2636C22semidirect
119. #2624C22semidirect
120. #2624C22semidirect
122. #2620C22semidirect
123. #2620C22semidirect
124. #2620C22semidirect
125. #2619C22semidirect
127. #2592C22semidirect
128. #2582C22semidirect
129. #2582C22semidirect
130. #2580C22semidirect
131. #2580C22semidirect
132. #2568C22semidirect
133. #2568C22semidirect
134. #2566C22semidirect
135. #2566C22semidirect
137. #2558C22semidirect
138. #2557C22semidirect
139. #2556C22semidirect
140. #2551C22semidirect
151. #2548C22semidirect
152. #2545C22semidirect
154. #2544C22semidirect
155. #2544C22semidirect
156. #2542C22semidirect
157. #2542C22semidirect
160. #2540C22semidirect
161. #2522C22semidirect
162. #2520C22semidirect
163. #2513C22semidirect
164. #2512C22semidirect
165. #2511C22semidirect
166. #2507C22semidirect
167. #2506C22semidirect
170. #2501C22semidirect
171. #2497C22semidirect
172. #2492C22semidirect
173. #2492C22semidirect
174. #2491C22semidirect
175. #2491C22semidirect
176. #2490C22semidirect
182. #2469C22semidirect
183. #2460C22semidirect
184. #2459C22semidirect
185. #2458C22semidirect
186. #2455C22semidirect
187. #2454C22semidirect
188. #2454C22semidirect
189. #2453C22semidirect
190. #2453C22semidirect
191. #2453C22semidirect
192. #2452C22semidirect
193. #2452C22semidirect
194. #2452C22semidirect
195. #2452C22semidirect
197. #2448C22semidirect
198. #2448C22semidirect
199. #2448C22semidirect
200. #2448C22semidirect
201. #2448C22semidirect
202. #2447C22semidirect
203. #2447C22semidirect
204. #2447C22semidirect
205. #2447C22semidirect
209. #2445C22semidirect
221. #2432C22semidirect
222. #2432C22semidirect
223. #2432C22semidirect
229. #2428C22semidirect
230. #2427C22semidirect
231. #2426C22semidirect
232. #2426C22semidirect
233. #2426C22semidirect
234. #2426C22semidirect
236. #2422C22semidirect
237. #2422C22semidirect
238. #2421C22semidirect
244. #2416C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2402C22semidirect
256. #2398C22semidirect
257. #2396C22semidirect
258. #2396C22semidirect
260. #2367C22semidirect
262. #2365C22semidirect
263. #2361C22semidirect
264. #2360C22semidirect
266. #2351C22semidirect
267. Q8×C4⋊C4C22semidirect
268. D4×C4⋊C4C22semidirect
269. #2341C22semidirect
274. #2326C22semidirect
275. #2326C22semidirect
277. #2311C22semidirect
278. C4×C4⋊Q8C22semidirect
280. C4×#124C22semidirect
284. C4×C22⋊Q8C22semidirect
285. C4×C22⋊Q8C22semidirect
289. #2295C22semidirect
290. #2295C22semidirect
296. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#596502
#596412
#591472
#591242
#590782
#538712
#538312
#530802
#529952
#529792
#529642
#523122
#428972
#428812
#428382
#425202
#405392
#397712
#394952
#394862
#393512
#391742
#389092
#380782
#376962
#376292
#376162
#374932
#374922
#365772
#365612
#361212
C2×#25482
#347722
#347082