Finite Group Databasebeta

← #8424465

Subgroups — #8424465

Order 512.

5406 conjugacy classes of subgroups.

The subgroup lattice has 1816 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59679C211yesmaximal, characteristic, complemented
2#59637C212yesmaximal, complemented
3#59130C212yesmaximal, complemented
4#59124C211yesmaximal, characteristic, complemented
5#59080C211yesmaximal, characteristic, complemented
6#53621C214yesmaximal, complemented
7#53522C214yesmaximal, complemented
8#53087C212yesmaximal, complemented
9#53066C212yesmaximal, complemented
10#52989C212yesmaximal, complemented
11#52973C212yesmaximal, complemented
12#52311C214yesmaximal, complemented
13#42872C212yesmaximal, complemented
14#42797C212yesmaximal, complemented
15#42751C212yesmaximal, complemented
16#42524C212yesmaximal, complemented
17#40538C214yesmaximal, complemented
18#39725C211yesmaximal, characteristic, complemented
19#39495C212yesmaximal, complemented
20#39486C212yesmaximal, complemented
21#39363C211yesmaximal, characteristic, complemented
22#39147C211yesmaximal, characteristic, complemented
23#38987C211yesmaximal, characteristic, complemented
24#38110C212yesmaximal, complemented
25#37676C212yesmaximal, complemented
26#37625C211yesmaximal, characteristic, complemented
27#37619C211yesmaximal, characteristic, complemented
28#37493C212yesmaximal, complemented
29#37492C212yesmaximal, complemented
30#36599C211yesmaximal, characteristic, complemented
31Q8×#121C211yesmaximal, characteristic, complemented
32#36121C211yesmaximal, characteristic, complemented
33C2×#2548C211yesmaximal, characteristic, complemented
34#34788C211yesmaximal, characteristic, complemented
35#34691C211yesmaximal, characteristic, complemented
36C2×#550C2211yescharacteristic
37C2×D4×Q8C2212yes—
38C2×D4×Q8C2211yescharacteristic, complemented
39C2×#548C2212yescomplemented
40C2×#546C2212yes—
41C2×#546C2212yes—
42C2×#536C2212yescomplemented
43C2×#533C2211yescharacteristic, complemented
44C2×#532C2211yescharacteristic
45C22×#127C2211yescharacteristic
46C22×#124C2212yes—
47C22×C4×Q8C2211yescharacteristic
48#2858C2211yescharacteristic
49#2857C2211yescharacteristic
50#2857C2212yes—
51#2857C2212yes—
52#2856C2211yescharacteristic
53#2832C2214yescomplemented
54#2830C2214yescomplemented
55#2829C2214yescomplemented
56#2829C2214yescomplemented
57#2829C2214yescomplemented
58#2829C2214yescomplemented
59#2829C2214yescomplemented
60#2828C2214yescomplemented
61#2827C2214yescomplemented
62#2827C2214yescomplemented
63#2826C2214yescomplemented
64#2816C2214yescomplemented
65#2813C2214yescomplemented
66#2813C2214yescomplemented
67#2804C2214yescomplemented
68#2800C2214yescomplemented
69#2797C2214yescomplemented
70#2796C2214yescomplemented
71#2786C2214yescomplemented
72#2780C2214yescomplemented
73#2780C2214yescomplemented
74#2757C2214yescomplemented
75#2752C2214yescomplemented
76#2751C2214yescomplemented
77#2746C2214yescomplemented
78#2740C2214yescomplemented
79#2732C2214yescomplemented
80#2730C2214yescomplemented
81#2730C2214yescomplemented
82#2728C2214yescomplemented
83#2724C2214yescomplemented
84#2711C2214yescomplemented
85#2708C2214yescomplemented
86#2705C2214yescomplemented
87#2701C2214yescomplemented
88#2701C2214yescomplemented
89#2701C2214yescomplemented
90#2691C2214yescomplemented
91#2686C2214yescomplemented
92#2682C2214yescomplemented
93#2681C2214yescomplemented
94#2681C2214yescomplemented
95#2676C2214yescomplemented
96#2676C2214yescomplemented
97#2676C2214yescomplemented
98#2674C2214yescomplemented
99#2674C2214yescomplemented
100#2674C2214yescomplemented
101#2673C2214yes—
102#2672C2214yescomplemented
103#2672C2214yescomplemented
104#2662C2214yescomplemented
105#2661C2214yescomplemented
106#2658C2212yescomplemented
107#2653C2214yescomplemented
108#2651C2214yescomplemented
109#2648C2214yescomplemented
110#2644C2212yescomplemented
111#2644C2212yescomplemented
112#2644C2212yescomplemented
113#2641C2212yescomplemented
114#2640C2212yescomplemented
115#2633C2214yescomplemented
116#2630C2214yescomplemented
117#2630C2214yescomplemented
118#2626C2214yes—
119#2624C2212yescomplemented
120#2624C2212yescomplemented
121#2624C2212yescomplemented
122#2622C2214yes—
123#2620C2212yescomplemented
124#2620C2212yescomplemented
125#2619C2212yescomplemented
126#2617C2214yes—
127#2602C2214yescomplemented
128#2585C2214yescomplemented
129#2580C2212yescomplemented
130#2580C2212yescomplemented
131#2580C2212yescomplemented
132#2569C2214yes—
133#2566C2212yescomplemented
134#2566C2212yescomplemented
135#2557C2214yescomplemented
136#2552C2211yescharacteristic, complemented
137#2548C2214yes—
138#2548C2212yes—
139#2548C2211yescharacteristic
140#2548C2211yescharacteristic
141#2548C2211yescharacteristic
142#2548C2212yes—
143#2548C2212yes—
144#2548C2211yescharacteristic
145#2548C2212yes—
146#2548C2211yescharacteristic
147#2548C2212yescomplemented
148#2547C2212yescomplemented
149#2546C2211yescharacteristic, complemented
150#2546C2212yescomplemented
151#2546C2211yescharacteristic, complemented
152#2545C2212yescomplemented
153#2545C2212yescomplemented
154#2544C2212yes—
155#2541C2212yes—
156#2541C2211yescharacteristic
157#2540C2212yescomplemented
158#2538C2212yescomplemented
159#2538C2211yescharacteristic, complemented
160#2525C2212yescomplemented
161#2516C2212yescomplemented
162#2513C2211yescharacteristic, complemented
163#2513C2212yescomplemented
164#2513C2212yescomplemented
165#2513C2212yescomplemented
166#2512C2212yescomplemented
167#2512C2212yescomplemented
168#2511C2212yescomplemented
169#2510C2212yes—
170#2509C2211yescharacteristic, complemented
171#2509C2212yescomplemented
172#2504C2211yescharacteristic
173#2494C2211yescharacteristic, complemented
174#2491C2214yescomplemented
175#2491C2212yescomplemented
176#2491C2212yescomplemented
177#2490C2212yescomplemented
178#2490C2211yescharacteristic, complemented
179#2487C2211yescharacteristic
180#2480C2214yes—
181#2473C2212yes—
182#2472C2214yes—
183#2472C2214yes—
184#2466C2214yescomplemented
185#2465C2212yescomplemented
186#2463C2214yescomplemented
187#2462C2212yescomplemented
188#2461C2214yescomplemented
189#2454C2212yescomplemented
190#2454C2212yescomplemented
191#2452C2212yescomplemented
192#2452C2212yescomplemented
193#2452C2212yescomplemented
194#2451C2211yescharacteristic, complemented
195#2449C2212yes—
196#2448C2212yescomplemented
197#2447C2212yescomplemented
198#2447C2212yescomplemented
199#2446C2212yescomplemented
200#2446C2211yescharacteristic, complemented
201#2445C2212yes—
202#2445C2212yes—
203#2445C2212yes—
204#2445C2212yescomplemented
205#2445C2212yescomplemented
206#2445C2212yescomplemented
207#2444C2212yes—
208#2442C2211yescharacteristic
209#2442C2212yes—
210#2440C2211yescharacteristic
211#2437C2214yes—
212#2437C2214yes—
213#2437C2214yes—
214#2436C2212yescomplemented
215#2436C2212yescomplemented
216#2435C2212yes—
217#2434C2211yescharacteristic
218#2433C2212yes—
219#2432C2212yescomplemented
220#2432C2212yescomplemented
221#2432C2212yescomplemented
222#2432C2212yescomplemented
223#2431C2212yes—
224#2431C2212yes—
225#2429C2214yescomplemented
226#2429C2211yescharacteristic, complemented
227#2429C2212yescomplemented
228#2428C2212yes—
229#2428C2212yes—
230#2428C2212yes—
231#2428C2212yescomplemented
232#2427C2212yescomplemented
233#2426C2212yescomplemented
234#2426C2212yescomplemented
235#2424C2214yes—
236#2423C2211yescharacteristic, complemented
237#2422C2212yescomplemented
238#2422C2212yescomplemented
239#2422C2212yescomplemented
240#2418C2214yes—
241#2418C2214yes—
242#2417C2211yescharacteristic
243#2417C2212yes—
244#2417C2214yes—
245#2416C2211yescharacteristic
246#2412C2214yes—
247#2412C2214yes—
248#2410C2214yes—
249#2409C2211yescharacteristic
250#2408C2212yes—
251#2408C2212yes—
252#2408C2212yes—
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2401C2212yescomplemented
256#2399C2212yescomplemented
257#2396C2212yescomplemented
258#2395C2212yescomplemented
259C2×#394C2214yes—
260#2370C2212yescomplemented
261#2367C2212yescomplemented
262#2366C2211yescharacteristic
263#2366C2212yescomplemented
264#2365C2211yescharacteristic, complemented
265#2358C2214yes—
266#2357C2212yescomplemented
267#2355C2211yescharacteristic, complemented
268Q8×C4⋊C4C2211yescharacteristic, complemented
269#2345C2212yes—
270Q8×C22⋊C4C2212yescomplemented
271D4×C22⋊C4C2212yes—
272D4×C22⋊C4C2212yes—
273D4×C22⋊C4C2212yes—
274#2326C2212yescomplemented
275#2324C2212yescomplemented
276#2319C2212yescomplemented
277#2315C2214yes—
278C4×C4⋊Q8C2211yescharacteristic, complemented
279C4×#127C2211yescharacteristic
280C4×#125C2211yescharacteristic, complemented
281C4×C22⋊Q8C2212yes—
282C4×C22⋊Q8C2212yes—
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic, complemented
285C4×#121C2212yes—
286C4×#121C2212yes—
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic, complemented
289#2295C2211yescharacteristic, complemented
290#2293C2211yescharacteristic, complemented
291C2×#390C2212yes—
292C2×#390C2212yes—
293C2×#390C2212yes—
294#2290C2212yes—
295#2290C2212yes—
296#2283C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×Q8C2311yescharacteristic
302C23×Q8C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306#550—44no—
307D4×Q8—44no—
308D4×Q8—48no—
309#548—48no—
310#546—48no—
311#546—48no—
312#536—48no—
313#533—44no—
314#532—44no—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2311yescharacteristic
321C2×C4⋊Q8C2312yes—
322C2×C4⋊Q8C2314yes—
323C2×#127—44no—
324C2×#127C2311yescharacteristic
325C2×#127C2311yescharacteristic
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#126C2314yes—
332C2×#125C2311yescharacteristic
333C2×#125C2312yes—
334C2×#125C2312yes—
335C2×#124—48no—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2314yes—
344C2×#124C2314yes—
345C2×#124C2312yes—
346C2×#124C2314yes—
347C2×#124C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2311yescharacteristic
364C2×C22⋊Q8C2314yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2314yes—
367C2×C22⋊Q8C2314yes—
368C2×C22⋊Q8C2314yes—
369C2×#121C2311yescharacteristic
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2311yescharacteristic
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2312yes—
384C2×#121C2314yes—
385C2×#120C2314yes—
386C2×#120C2314yes—
387C2×#120C2314yes—
388C2×C4×Q8—44no—
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2311yescharacteristic
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2312yes—
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2314yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2312yes—
416C2×#117C2312yes—
417C2×#117C2312yes—
418C22×C4⋊C4C2311yescharacteristic
419C22×C4⋊C4C2312yes—
420C22×C4⋊C4C2311yescharacteristic
421C22×C4⋊C4C2311yescharacteristic
422C22×C22⋊C4C2314yes—
423C22×C22⋊C4C2314yes—
424C22×C22⋊C4C2314yes—
425C22×C22⋊C4C2314yes—
426C22×C22⋊C4C2314yes—
427C22×C22⋊C4C2314yes—
428C22×C42C2311yescharacteristic
429C22×C42C2311yescharacteristic
430C22×C42C2312yes—
431C22×C42C2312yes—
432#401C2312yes—
433#400C2314yes—
434#400C2314yes—
435#400C2312yes—
436#400C2312yes—
437#400C2312yes—
438#400C2314yes—
439#400C2312yes—
440#400C2312yes—
441#399C2314yes—
442#399C2314yes—
443#399C2314yes—
444#399C2314yes—
445#399C2312yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2312yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2312yes—
454#398C2314yes—
455#398C2312yes—
456#398C2312yes—
457#398C2314yes—
458#398C2314yes—
459#398C2312yes—
460#398C2312yes—
461#398C2312yes—
462#398C2312yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2312yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2312yes—
482#397C2314yes—
483#397C2312yes—
484#397C2314yes—
485#397C2312yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2312yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2312yes—
503#396C2312yes—
504#395C2312yes—
505#395C2312yes—
506#395C2312yes—
507#395C2312yes—
508#395C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2312yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
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#394C2312yes—
547#394C2314yes—
548#393C2314yes—
549#393C2314yes—
550#393C2314yes—
551#393C2314yes—
552#393C2314yes—
553#393C2312yes—
554#393C2314yes—
555#393C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#391C2311yescharacteristic
567#391C2311yescharacteristic
568#391C2314yes—
569#391C2311yescharacteristic
570#391C2312yes—
571#391C2314yes—
572#391C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2311yescharacteristic
576#391C2312yes—
577#391C2311yescharacteristic
578#391C2311yescharacteristic
579#391C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2314yes—
588#390C2314yes—
589#390C2314yes—
590#390C2314yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2314yes—
603#390C2312yes—
604#390C2312yes—
605#390C2314yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2311yescharacteristic
611#390C2312yes—
612#390C2312yes—
613#390C2311yescharacteristic
614#390C2314yes—
615#390C2314yes—
616#390C2314yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2311yescharacteristic
622#390C2314yes—
623#390C2311yescharacteristic
624#389C2311yescharacteristic
625#389C2311yescharacteristic
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2311yescharacteristic
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2314yes—
636#389C2314yes—
637#389C2312yes—
638#389C2312yes—
639#389C2314yes—
640#389C2312yes—
641#389C2312yes—
642#389C2314yes—
643#389C2312yes—
644#389C2311yescharacteristic
645#389C2312yes—
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2312yes—
650#389C2311yescharacteristic
651#389C2311yescharacteristic
652#389C2311yescharacteristic
653#388C2312yes—
654#388C2314yes—
655#388C2312yes—
656#388C2312yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2314yes—
671#388C2312yes—
672#388C2314yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2312yes—
685#387C2312yes—
686#387C2314yes—
687#387C2312yes—
688#387C2312yes—
689#387C2314yes—
690#387C2314yes—
691#387C2312yes—
692#387C2312yes—
693#387C2312yes—
694#387C2312yes—
695#387C2312yes—
696#387C2312yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2312yes—
707#386C2314yes—
708#386C2312yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2314yes—
715#386C2314yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#386C2312yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2312yes—
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#385C2314yes—
739#385C2314yes—
740#385C2312yes—
741#385C2312yes—
742#385C2312yes—
743#385C2312yes—
744#385C2312yes—
745#385C2312yes—
746#385C2312yes—
747#384C2311yescharacteristic
748#384C2311yescharacteristic
749#384C2312yes—
750#384C2312yes—
751#383C2312yes—
752#382C2311yescharacteristic
753#382C2311yescharacteristic
754#382C2312yes—
755#382C2311yescharacteristic
756#381C2312yes—
757#381C2314yes—
758#381C2314yes—
759#380C2312yes—
760#380C2314yes—
761#380C2314yes—
762#380C2312yes—
763#380C2312yes—
764#380C2314yes—
765#380C2314yes—
766#380C2311yescharacteristic
767#380C2311yescharacteristic
768#380C2312yes—
769#380C2312yes—
770#380C2314yes—
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2314yes—
774#380C2311yescharacteristic
775#380C2311yescharacteristic
776#380C2314yes—
777#379C2314yes—
778#379C2314yes—
779#379C2314yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
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—28no—
831C22×Q8—24no—
832C22×Q8—42no—
833C22×Q8—44no—
834C22×Q8—44no—
835C22×Q8C2411yescharacteristic
836C22×Q8C2412yes—
837C22×Q8C2411yescharacteristic
838C22×Q8C2412yes—
839C22×Q8C2411yescharacteristic
840C22×Q8C2414yes—
841C22×Q8C2412yes—
842C22×D4—28no—
843C22×D4—28no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—82no—
851C22×D4C2412yes—
852C22×D4C2411yescharacteristic
853C22×D4C2411yescharacteristic
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2412yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C23×C4C2411yescharacteristic
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2414yes—
881C23×C4C2411yescharacteristic
882C23×C4C2414yes—
883C23×C4C2414yes—
884C23×C4C2414yes—
885C23×C4C2414yes—
886C4⋊Q8—24no—
887C4⋊Q8—24no—
888C4⋊Q8—42no—
889C4⋊Q8—44no—
890C4⋊Q8—42no—
891C4⋊Q8—44no—
892C4⋊Q8—44no—
893C4⋊Q8—48no—
894#127—24no—
895#127—24no—
896#127—44no—
897#127—44no—
898#127—44no—
899#127—44no—
900#127—44no—
901#126—84no—
902#125—42no—
903#125—44no—
904#125—44no—
905#124—28no—
906#124—28no—
907#124—44no—
908#124—44no—
909#124—44no—
910#124—44no—
911#124—44no—
912#124—44no—
913#124—48no—
914#124—48no—
915#124—48no—
916#124—84no—
917#123—48no—
918#123—48no—
919#123—48no—
920#123—48no—
921#123—84no—
922#123—84no—
923C22⋊Q8—24no—
924C22⋊Q8—24no—
925C22⋊Q8—28no—
926C22⋊Q8—44no—
927C22⋊Q8—48no—
928C22⋊Q8—48no—
929C22⋊Q8—48no—
930C22⋊Q8—48no—
931C22⋊Q8—48no—
932C22⋊Q8—48no—
933C22⋊Q8—44no—
934C22⋊Q8—42no—
935C22⋊Q8—42no—
936C22⋊Q8—44no—
937C22⋊Q8—44no—
938#121—24no—
939#121—48no—
940#121—48no—
941#121—48no—
942#121—48no—
943#121—42no—
944#121—44no—
945#121—44no—
946#121—44no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—84no—
953#121—82no—
954#120—48no—
955#120—48no—
956#120—48no—
957C4×Q8—24no—
958C4×Q8—24no—
959C4×Q8—24no—
960C4×Q8—44no—
961C4×Q8—44no—
962C4×Q8—44no—
963C4×Q8—42no—
964C4×Q8—42no—
965C4×Q8—44no—
966C4×Q8—44no—
967C4×D4—24no—
968C4×D4—28no—
969C4×D4—24no—
970C4×D4—24no—
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—48no—
981C4×D4—42no—
982C4×D4—48no—
983C4×D4—82no—
984#117—44no—
985#117—44no—
986C2×C4⋊C4—24no—
987C2×C4⋊C4—42no—
988C2×C4⋊C4—44no—
989C2×C4⋊C4—42no—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
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⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
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⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
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×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2414yes—
1152C2×C42C2414yes—
1153C2×C42C2411yescharacteristic
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2414yes—
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#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
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—22no—
1238C2×Q8—24no—
1239C2×Q8—22no—
1240C2×Q8—24no—
1241C2×Q8—24no—
1242C2×Q8—22no—
1243C2×Q8—24no—
1244C2×Q8—24no—
1245C2×Q8—22no—
1246C2×Q8—22no—
1247C2×Q8—28no—
1248C2×Q8—42no—
1249C2×Q8—42no—
1250C2×Q8—44no—
1251C2×Q8—44no—
1252C2×Q8—42no—
1253C2×Q8—42no—
1254C2×Q8—416no—
1255C2×Q8—816no—
1256C2×Q8H(5,𝔽2)14yes—
1257C2×D4—24no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—24no—
1261C2×D4—22no—
1262C2×D4—24no—
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—22no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—42no—
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—44no—
1314C2×D4—816no—
1315C2×D4—816no—
1316C2×D4—816no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—24no—
1322C22×C4—22no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—22no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—28no—
1339C22×C4—42no—
1340C22×C4—41no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—41no—
1355C22×C4—41no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4H(5,𝔽2)14yes—
1364C22×C42−1+414yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2511yescharacteristic
1376C22×C4C2512yes—
1377C22×C4C2511yescharacteristic
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2514yes—
1381C22×C4C2511yescharacteristic
1382C22×C4C2512yes—
1383C22×C4C2514yes—
1384C22×C4C2512yes—
1385C22×C4C2512yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2511yescharacteristic
1390C22×C4C2511yescharacteristic
1391C22×C4C2512yes—
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C4⋊C4—24no—
1396C4⋊C4—22no—
1397C4⋊C4—24no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—24no—
1402C4⋊C4—22no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—24no—
1411C4⋊C4—28no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—41no—
1432C4⋊C4—42no—
1433C4⋊C4—44no—
1434C4⋊C4—42no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—42no—
1452C4⋊C4—44no—
1453C4⋊C4—42no—
1454C4⋊C4—44no—
1455C4⋊C4—42no—
1456C4⋊C4—44no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C22⋊C4—22no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—28no—
1463C22⋊C4—22no—
1464C22⋊C4—22no—
1465C22⋊C4—24no—
1466C22⋊C4—28no—
1467C22⋊C4—28no—
1468C22⋊C4—28no—
1469C22⋊C4—28no—
1470C22⋊C4—22no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—22no—
1475C22⋊C4—24no—
1476C22⋊C4—44no—
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—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—41no—
1499C22⋊C4—42no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—42no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—44no—
1518C22⋊C4—42no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—44no—
1527C22⋊C4—42no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—22no—
1534C42—24no—
1535C42—24no—
1536C42—24no—
1537C42—24no—
1538C42—22no—
1539C42—24no—
1540C42—22no—
1541C42—24no—
1542C42—22no—
1543C42—22no—
1544C42—24no—
1545C42—42no—
1546C42—42no—
1547C42—42no—
1548C42—42no—
1549C42—41no—
1550C42—44no—
1551C42—44no—
1552C42—41no—
1553C42—44no—
1554C42H(5,𝔽2)14yes—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—24no—
1560C23—24no—
1561C23—21no—
1562C23—22no—
1563C23—22no—
1564C23—21no—
1565C23—21no—
1566C23—24no—
1567C23—24no—
1568C23—22no—
1569C23—24no—
1570C23—24no—
1571C23—21no—
1572C23—22no—
1573C23—24no—
1574C23—24no—
1575C23—21no—
1576C23—24no—
1577C23—24no—
1578C23—24no—
1579C23—24no—
1580C23—22no—
1581C23—22no—
1582C23—21no—
1583C23—22no—
1584C23—21no—
1585C23—24no—
1586C23—24no—
1587C23—416no—
1588C23—88no—
1589C23—88no—
1590C23—88no—
1591C23—88no—
1592C23—88no—
1593C23—88no—
1594C23C2×H(5,𝔽2)12yes—
1595C23C2×2−1+412yes—
1596C23#58512yes—
1597C23C2611yescharacteristic
1598Q8—28no—
1599Q8—48no—
1600Q8—44no—
1601Q8—48no—
1602Q8—44no—
1603Q8—88no—
1604Q8—84no—
1605D4—48no—
1606D4—48no—
1607D4—44no—
1608D4—48no—
1609D4—48no—
1610D4—44no—
1611D4—48no—
1612D4—48no—
1613D4—88no—
1614D4—88no—
1615D4—84no—
1616D4—84no—
1617D4—88no—
1618D4—88no—
1619D4—88no—
1620D4—88no—
1621D4—164no—
1622D4—164no—
1623D4—164no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—28no—
1633C2×C4—28no—
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—21no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—24no—
1655C2×C4—24no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—24no—
1662C2×C4—22no—
1663C2×C4—24no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—24no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—24no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—44no—
1707C2×C4—48no—
1708C2×C4—48no—
1709C2×C4—44no—
1710C2×C4—44no—
1711C2×C4—82no—
1712C2×C4—88no—
1713C2×C4—84no—
1714C2×C4—84no—
1715C2×C4—84no—
1716C2×C4—88no—
1717C2×C4—88no—
1718C2×C4—164no—
1719C2×C4—164no—
1720C2×C4C2×H(5,𝔽2)12yes—
1721C2×C4C2×H(5,𝔽2)14yes—
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×H(5,𝔽2)12yes—
1727C2×C4C2×2−1+412yes—
1728C2×C4C2×2−1+412yes—
1729C2×C4#58512yes—
1730C22—22no—
1731C22—22no—
1732C22—22no—
1733C22—22no—
1734C22—22no—
1735C22—22no—
1736C22—42no—
1737C22—41no—
1738C22—44no—
1739C22—44no—
1740C22—41no—
1741C22—44no—
1742C22—44no—
1743C22—42no—
1744C22—42no—
1745C22—41no—
1746C22—44no—
1747C22—44no—
1748C22—42no—
1749C22—41no—
1750C22—44no—
1751C22—44no—
1752C22—41no—
1753C22—42no—
1754C22—44no—
1755C22—44no—
1756C22—41no—
1757C22—44no—
1758C22—44no—
1759C22—42no—
1760C22—44no—
1761C22—44no—
1762C22—41no—
1763C22—42no—
1764C22—1616no—
1765C22#355414yes—
1766C22C22×H(5,𝔽2)11yescharacteristic
1767C22C22×H(5,𝔽2)11yescharacteristic
1768C22C22×H(5,𝔽2)11yescharacteristic
1769C22C22×2−1+411yescharacteristic
1770C22C2×#58511yescharacteristic
1771C22C2×#58511yescharacteristic
1772C22H(7,𝔽2)11yescharacteristic
1773C4—22no—
1774C4—24no—
1775C4—22no—
1776C4—22no—
1777C4—41no—
1778C4—42no—
1779C4—42no—
1780C4—42no—
1781C4—44no—
1782C4—41no—
1783C4—42no—
1784C4—41no—
1785C4—41no—
1786C4—42no—
1787C4—42no—
1788C4—42no—
1789C4—41no—
1790C4—42no—
1791C4—42no—
1792C4—41no—
1793C4—42no—
1794C4—42no—
1795C4—41no—
1796C4—42no—
1797C4—42no—
1798C4—41no—
1799C4—42no—
1800C4—44no—
1801C4#353714yes—
1802C4#356114yes—
1803C2—24no—
1804C2—82no—
1805C2—81no—
1806C2—84no—
1807C2—84no—
1808C2C2×#353711yescharacteristic
1809C2C2×#356111yescharacteristic
1810C2C2×#355411yescharacteristic
1811C2#6291711yescharacteristic
1812C2#6292411yescharacteristic
1813C2#6296111yescharacteristic
1814C2#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. #59679C2semidirect
2. #59637C2semidirect
3. #59130C2semidirect
4. #59124C2semidirect
5. #59080C2semidirect
6. #53621C2semidirect
7. #53522C2semidirect
8. #53087C2semidirect
9. #53066C2semidirect
10. #52989C2semidirect
11. #52973C2semidirect
12. #52311C2semidirect
13. #42872C2semidirect
14. #42797C2semidirect
15. #42751C2semidirect
16. #42524C2semidirect
17. #40538C2semidirect
18. #39725C2semidirect
19. #39495C2semidirect
20. #39486C2semidirect
21. #39363C2semidirect
22. #39147C2semidirect
23. #38987C2semidirect
24. #38110C2semidirect
25. #37676C2semidirect
26. #37625C2semidirect
27. #37619C2semidirect
28. #37493C2semidirect
29. #37492C2semidirect
30. #36599C2semidirect
31. Q8×#121C2semidirect
32. #36121C2semidirect
33. C2×#2548C2semidirect
34. #34788C2semidirect
35. #34691C2semidirect
38. C2×D4×Q8C22semidirect
39. C2×#548C22semidirect
42. C2×#536C22semidirect
43. C2×#533C22semidirect
53. #2832C22semidirect
54. #2830C22semidirect
55. #2829C22semidirect
56. #2829C22semidirect
57. #2829C22semidirect
58. #2829C22semidirect
59. #2829C22semidirect
60. #2828C22semidirect
61. #2827C22semidirect
62. #2827C22semidirect
63. #2826C22semidirect
64. #2816C22semidirect
65. #2813C22semidirect
66. #2813C22semidirect
67. #2804C22semidirect
68. #2800C22semidirect
69. #2797C22semidirect
70. #2796C22semidirect
71. #2786C22semidirect
72. #2780C22semidirect
73. #2780C22semidirect
74. #2757C22semidirect
75. #2752C22semidirect
76. #2751C22semidirect
77. #2746C22semidirect
78. #2740C22semidirect
79. #2732C22semidirect
80. #2730C22semidirect
81. #2730C22semidirect
82. #2728C22semidirect
83. #2724C22semidirect
84. #2711C22semidirect
85. #2708C22semidirect
86. #2705C22semidirect
87. #2701C22semidirect
88. #2701C22semidirect
89. #2701C22semidirect
90. #2691C22semidirect
91. #2686C22semidirect
92. #2682C22semidirect
93. #2681C22semidirect
94. #2681C22semidirect
95. #2676C22semidirect
96. #2676C22semidirect
97. #2676C22semidirect
98. #2674C22semidirect
99. #2674C22semidirect
100. #2674C22semidirect
102. #2672C22semidirect
103. #2672C22semidirect
104. #2662C22semidirect
105. #2661C22semidirect
106. #2658C22semidirect
107. #2653C22semidirect
108. #2651C22semidirect
109. #2648C22semidirect
110. #2644C22semidirect
111. #2644C22semidirect
112. #2644C22semidirect
113. #2641C22semidirect
114. #2640C22semidirect
115. #2633C22semidirect
116. #2630C22semidirect
117. #2630C22semidirect
119. #2624C22semidirect
120. #2624C22semidirect
121. #2624C22semidirect
123. #2620C22semidirect
124. #2620C22semidirect
125. #2619C22semidirect
127. #2602C22semidirect
128. #2585C22semidirect
129. #2580C22semidirect
130. #2580C22semidirect
131. #2580C22semidirect
133. #2566C22semidirect
134. #2566C22semidirect
135. #2557C22semidirect
136. #2552C22semidirect
147. #2548C22semidirect
148. #2547C22semidirect
149. #2546C22semidirect
150. #2546C22semidirect
151. #2546C22semidirect
152. #2545C22semidirect
153. #2545C22semidirect
157. #2540C22semidirect
158. #2538C22semidirect
159. #2538C22semidirect
160. #2525C22semidirect
161. #2516C22semidirect
162. #2513C22semidirect
163. #2513C22semidirect
164. #2513C22semidirect
165. #2513C22semidirect
166. #2512C22semidirect
167. #2512C22semidirect
168. #2511C22semidirect
170. #2509C22semidirect
171. #2509C22semidirect
173. #2494C22semidirect
174. #2491C22semidirect
175. #2491C22semidirect
176. #2491C22semidirect
177. #2490C22semidirect
178. #2490C22semidirect
184. #2466C22semidirect
185. #2465C22semidirect
186. #2463C22semidirect
187. #2462C22semidirect
188. #2461C22semidirect
189. #2454C22semidirect
190. #2454C22semidirect
191. #2452C22semidirect
192. #2452C22semidirect
193. #2452C22semidirect
194. #2451C22semidirect
196. #2448C22semidirect
197. #2447C22semidirect
198. #2447C22semidirect
199. #2446C22semidirect
200. #2446C22semidirect
204. #2445C22semidirect
205. #2445C22semidirect
206. #2445C22semidirect
214. #2436C22semidirect
215. #2436C22semidirect
219. #2432C22semidirect
220. #2432C22semidirect
221. #2432C22semidirect
222. #2432C22semidirect
225. #2429C22semidirect
226. #2429C22semidirect
227. #2429C22semidirect
231. #2428C22semidirect
232. #2427C22semidirect
233. #2426C22semidirect
234. #2426C22semidirect
236. #2423C22semidirect
237. #2422C22semidirect
238. #2422C22semidirect
239. #2422C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2401C22semidirect
256. #2399C22semidirect
257. #2396C22semidirect
258. #2395C22semidirect
260. #2370C22semidirect
261. #2367C22semidirect
263. #2366C22semidirect
264. #2365C22semidirect
266. #2357C22semidirect
267. #2355C22semidirect
268. Q8×C4⋊C4C22semidirect
270. Q8×C22⋊C4C22semidirect
274. #2326C22semidirect
275. #2324C22semidirect
276. #2319C22semidirect
278. C4×C4⋊Q8C22semidirect
280. C4×#125C22semidirect
284. C4×C22⋊Q8C22semidirect
288. C4×#121C22semidirect
289. #2295C22semidirect
290. #2293C22semidirect
296. #2283C22semidirect

Maximal subgroups

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

subgroupindex
#596792
#596372
#591302
#591242
#590802
#536212
#535222
#530872
#530662
#529892
#529732
#523112
#428722
#427972
#427512
#425242
#405382
#397252
#394952
#394862
#393632
#391472
#389872
#381102
#376762
#376252
#376192
#374932
#374922
#365992
Q8×#1212
#361212
C2×#25482
#347882
#346912