Finite Group Databasebeta

← #8095338

Subgroups — #8095338

Order 512.

4651 conjugacy classes of subgroups.

The subgroup lattice has 1722 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53145C212yesmaximal, complemented
2#53145C212yesmaximal, complemented
3#53140C212yesmaximal, complemented
4#53138C212yesmaximal, complemented
5#53077C212yesmaximal, complemented
6#53030C212yesmaximal, complemented
7#53021C212yesmaximal, complemented
8#53013C212yesmaximal, complemented
9#52722C214yesmaximal, complemented
10#52374C214yesmaximal, complemented
11#46055C212yesmaximal, complemented
12#46055C212yesmaximal, complemented
13#46023C212yesmaximal, complemented
14#46005C212yesmaximal, complemented
15#45752C214yesmaximal, complemented
16#45703C212yesmaximal, complemented
17#45634C212yesmaximal, complemented
18#45619C212yesmaximal, complemented
19#45557C214yesmaximal, complemented
20#45500C212yesmaximal, complemented
21#35672C211yesmaximal, characteristic, complemented
22#35667C211yesmaximal, characteristic, complemented
23#35662C211yesmaximal, characteristic, complemented
24#35633C211yesmaximal, characteristic
25#35619C211yesmaximal, characteristic, complemented
26#35519C211yesmaximal, characteristic, complemented
27#35320C211yesmaximal, characteristic, complemented
28#35311C211yesmaximal, characteristic, complemented
29#35306C211yesmaximal, characteristic
30#35265C211yesmaximal, characteristic, complemented
31#35182C211yesmaximal, characteristic, complemented
32#35179C211yesmaximal, characteristic, complemented
33#34813C211yesmaximal, characteristic
34#34739C211yesmaximal, characteristic, complemented
35C2×#2429C211yesmaximal, characteristic, complemented
36C2×#536C2211yescharacteristic
37C2×#536C2211yescharacteristic
38C2×#533C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C22×C4⋊Q8C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C22×C22⋊Q8C2211yescharacteristic
43C22×C22⋊Q8C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×#519C2211yescharacteristic
46C22×C4×Q8C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2864C2212yescomplemented
49#2862C2212yescomplemented
50#2862C2212yescomplemented
51#2859C2212yescomplemented
52#2857C2212yes—
53#2855C2212yes—
54#2855C2214yes—
55#2855C2212yes—
56#2853C2214yes—
57#2850C2212yes—
58#2845C2214yescomplemented
59#2841C2214yes—
60#2841C2214yescomplemented
61#2839C2214yescomplemented
62#2839C2214yescomplemented
63#2839C2214yescomplemented
64#2839C2214yescomplemented
65#2837C2214yes—
66#2837C2214yes—
67#2836C2214yes—
68#2836C2214yes—
69#2836C2214yescomplemented
70#2836C2214yescomplemented
71#2831C2214yes—
72#2831C2214yes—
73#2831C2214yescomplemented
74#2831C2214yescomplemented
75#2827C2214yes—
76#2827C2214yes—
77#2820C2214yes—
78#2808C2214yes—
79#2806C2214yescomplemented
80#2806C2214yescomplemented
81#2802C2214yescomplemented
82#2802C2214yescomplemented
83#2802C2214yescomplemented
84#2802C2214yescomplemented
85#2798C2214yes—
86#2798C2214yescomplemented
87#2788C2214yes—
88#2788C2214yescomplemented
89#2783C2214yes—
90#2783C2214yescomplemented
91#2779C2214yes—
92#2779C2214yes—
93#2772C2214yes—
94#2772C2214yescomplemented
95#2768C2214yes—
96#2768C2214yescomplemented
97#2761C2214yes—
98#2761C2214yes—
99#2755C2214yescomplemented
100#2755C2214yescomplemented
101#2755C2214yescomplemented
102#2755C2214yescomplemented
103#2754C2214yes—
104#2754C2214yescomplemented
105#2747C2214yes—
106#2747C2214yescomplemented
107#2744C2214yes—
108#2744C2214yescomplemented
109#2743C2214yes—
110#2743C2214yes—
111#2739C2214yes—
112#2739C2214yescomplemented
113#2732C2214yes—
114#2704C2214yes—
115#2704C2214yescomplemented
116#2700C2214yes—
117#2700C2214yes—
118#2647C2212yescomplemented
119#2647C2212yescomplemented
120#2642C2212yescomplemented
121#2642C2212yescomplemented
122#2627C2214yes—
123#2625C2212yes—
124#2625C2212yes—
125#2623C2214yes—
126#2621C2212yes—
127#2620C2212yes—
128#2582C2212yescomplemented
129#2582C2212yescomplemented
130#2582C2212yescomplemented
131#2582C2212yescomplemented
132#2582C2212yescomplemented
133#2581C2212yescomplemented
134#2581C2212yescomplemented
135#2581C2212yescomplemented
136#2581C2212yescomplemented
137#2581C2212yescomplemented
138#2580C2212yescomplemented
139#2568C2212yescomplemented
140#2568C2212yescomplemented
141#2568C2212yescomplemented
142#2568C2212yescomplemented
143#2568C2212yescomplemented
144#2567C2212yescomplemented
145#2565C2212yescomplemented
146#2565C2212yescomplemented
147#2546C2212yescomplemented
148#2546C2212yescomplemented
149#2545C2212yescomplemented
150#2545C2212yescomplemented
151#2538C2212yescomplemented
152#2534C2214yes—
153#2509C2212yescomplemented
154#2508C2212yescomplemented
155#2507C2212yescomplemented
156#2506C2212yescomplemented
157#2505C2214yes—
158#2503C2212yes—
159#2503C2214yes—
160#2503C2214yes—
161#2503C2212yescomplemented
162#2502C2212yes—
163#2502C2212yescomplemented
164#2499C2212yes—
165#2499C2212yes—
166#2499C2212yescomplemented
167#2499C2212yescomplemented
168#2492C2211yescharacteristic
169#2492C2211yescharacteristic
170#2491C2211yescharacteristic
171#2491C2211yescharacteristic
172#2490C2211yescharacteristic
173#2490C2211yescharacteristic
174#2489C2211yescharacteristic
175#2489C2211yescharacteristic
176#2488C2212yes—
177#2488C2212yes—
178#2486C2214yes—
179#2484C2214yes—
180#2484C2214yes—
181#2483C2214yes—
182#2482C2214yes—
183#2473C2214yes—
184#2472C2212yes—
185#2472C2212yes—
186#2453C2212yescomplemented
187#2453C2212yescomplemented
188#2451C2212yescomplemented
189#2451C2212yescomplemented
190#2450C2214yes—
191#2449C2214yes—
192#2448C2212yescomplemented
193#2448C2212yescomplemented
194#2447C2212yescomplemented
195#2447C2212yescomplemented
196#2446C2212yescomplemented
197#2446C2212yescomplemented
198#2446C2212yescomplemented
199#2446C2212yescomplemented
200#2442C2211yescharacteristic
201#2442C2211yescharacteristic
202#2442C2212yescomplemented
203#2441C2211yescharacteristic
204#2441C2211yescharacteristic
205#2441C2212yescomplemented
206#2440C2211yescharacteristic
207#2440C2211yescharacteristic
208#2440C2212yescomplemented
209#2439C2211yescharacteristic
210#2439C2211yescharacteristic
211#2439C2212yescomplemented
212#2438C2214yes—
213#2438C2214yes—
214#2438C2212yes—
215#2438C2212yes—
216#2437C2212yes—
217#2437C2212yes—
218#2429C2212yes—
219#2429C2212yes—
220#2429C2212yes—
221#2429C2212yes—
222#2429C2212yes—
223#2429C2212yes—
224#2429C2212yes—
225#2429C2212yes—
226#2429C2212yes—
227#2429C2212yes—
228#2429C2212yescomplemented
229#2429C2212yescomplemented
230#2429C2212yescomplemented
231#2429C2212yescomplemented
232#2427C2212yes—
233#2427C2212yes—
234#2423C2212yes—
235#2423C2212yes—
236#2423C2212yes—
237#2423C2212yes—
238#2423C2212yescomplemented
239#2423C2212yescomplemented
240#2421C2212yes—
241#2421C2212yes—
242#2421C2212yes—
243#2421C2212yes—
244#2421C2212yescomplemented
245#2421C2212yescomplemented
246#2419C2214yes—
247#2419C2214yes—
248#2417C2212yes—
249#2417C2212yes—
250#2417C2212yes—
251#2417C2212yes—
252#2415C2212yes—
253#2415C2212yes—
254#2415C2212yes—
255#2415C2212yes—
256#2413C2214yes—
257#2413C2214yes—
258#2413C2214yes—
259#2412C2214yes—
260#2398C2212yes—
261#2398C2212yes—
262#2396C2212yes—
263#2396C2212yes—
264C2×#398C2212yes—
265C2×#396C2212yes—
266#2382C2214yescomplemented
267#2379C2214yes—
268#2378C2214yes—
269#2378C2214yescomplemented
270#2317C2211yescharacteristic
271#2317C2211yescharacteristic
272#2317C2211yescharacteristic
273#2317C2211yescharacteristic
274#2317C2211yescharacteristic
275#2316C2211yescharacteristic
276#2311C2211yescharacteristic
277#2310C2211yescharacteristic
278#2310C2211yescharacteristic
279#2310C2211yescharacteristic
280#2310C2211yescharacteristic
281#2310C2211yescharacteristic
282C4×#124C2212yes—
283C4×#124C2212yes—
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2212yes—
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288#2296C2211yescharacteristic
289#2296C2211yescharacteristic
290C2×#391C2211yescharacteristic
291C2×#389C2212yes—
292C2×#389C2211yescharacteristic
293C2×#388C2212yes—
294#2285C2211yescharacteristic
295#2280C2211yescharacteristic
296#2280C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302C24×C4C2311yescharacteristic
303#536—44no—
304#536—44no—
305#533—44no—
306#533—44no—
307C2×C4⋊Q8—44no—
308C2×C4⋊Q8C2311yescharacteristic
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×#125C2314yes—
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2311yescharacteristic
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2312yes—
326C2×#124C2312yes—
327#525—44no—
328C2×#123C2314yes—
329C2×#123C2312yes—
330C2×#123C2314yes—
331C2×C22⋊Q8—44no—
332C2×C22⋊Q8—44no—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2312yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2311yescharacteristic
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×#121C2311yescharacteristic
355C2×#121C2311yescharacteristic
356C2×#120C2312yes—
357#520—44no—
358#519—44no—
359C2×C4×Q8—44no—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2312yes—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2312yes—
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2314yes—
377C2×#117—44no—
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2311yescharacteristic
381C2×#117C2311yescharacteristic
382C2×#117C2311yescharacteristic
383C2×#117C2311yescharacteristic
384C2×#117C2311yescharacteristic
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2311yescharacteristic
388C2×#117C2311yescharacteristic
389C2×#117C2314yes—
390C2×#117C2312yes—
391C22×C4⋊C4C2311yescharacteristic
392C22×C4⋊C4C2311yescharacteristic
393C22×C4⋊C4C2312yes—
394C22×C4⋊C4C2312yes—
395C22×C4⋊C4C2312yes—
396C22×C4⋊C4C2312yes—
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2311yescharacteristic
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2312yes—
402C22×C22⋊C4C2311yescharacteristic
403C22×C22⋊C4C2311yescharacteristic
404C22×C22⋊C4C2312yes—
405C22×C22⋊C4C2312yes—
406C22×C22⋊C4C2312yes—
407C22×C42C2311yescharacteristic
408C22×C42C2311yescharacteristic
409C22×C42C2312yes—
410C22×C42C2312yes—
411#400C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2312yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2312yes—
435#400C2312yes—
436#400C2312yes—
437#400C2312yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2312yes—
442#399C2314yes—
443#399C2314yes—
444#399C2312yes—
445#399C2314yes—
446#399C2314yes—
447#399C2312yes—
448#399C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2312yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2314yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2314yes—
476#398C2312yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2312yes—
484#398C2314yes—
485#398C2314yes—
486#398C2312yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2312yes—
500#397C2314yes—
501#397C2312yes—
502#397C2312yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2312yes—
507#396C2312yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2312yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2312yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2312yes—
525#395C2314yes—
526#395C2314yes—
527#395C2314yes—
528#395C2314yes—
529#395C2314yes—
530#395C2312yes—
531#395C2312yes—
532#394C2314yes—
533#394C2314yes—
534#394C2312yes—
535#394C2312yes—
536#394C2314yes—
537#394C2314yes—
538#394C2312yes—
539#394C2312yes—
540#393C2312yes—
541#393C2312yes—
542#393C2312yes—
543#393C2314yes—
544#393C2312yes—
545#393C2312yes—
546#393C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2312yes—
552#391C2312yes—
553#391C2312yes—
554#391C2312yes—
555#391C2312yes—
556#391C2312yes—
557#391C2312yes—
558#391C2312yes—
559#391C2312yes—
560#391C2312yes—
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2312yes—
566#391C2312yes—
567#391C2312yes—
568#391C2314yes—
569#391C2314yes—
570#391C2314yes—
571#391C2314yes—
572#391C2314yes—
573#391C2314yes—
574#391C2314yes—
575#391C2311yescharacteristic
576#391C2312yes—
577#391C2312yes—
578#391C2311yescharacteristic
579#391C2314yes—
580#391C2314yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2311yescharacteristic
586#391C2311yescharacteristic
587#391C2312yes—
588#391C2312yes—
589#390C2312yes—
590#390C2311yescharacteristic
591#390C2311yescharacteristic
592#390C2311yescharacteristic
593#390C2312yes—
594#390C2312yes—
595#390C2311yescharacteristic
596#389C2314yes—
597#389C2314yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2314yes—
614#389C2314yes—
615#389C2312yes—
616#389C2314yes—
617#389C2311yescharacteristic
618#389C2311yescharacteristic
619#389C2312yes—
620#389C2314yes—
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2314yes—
624#389C2314yes—
625#389C2314yes—
626#389C2314yes—
627#389C2314yes—
628#389C2311yescharacteristic
629#389C2312yes—
630#389C2314yes—
631#389C2314yes—
632#389C2311yescharacteristic
633#389C2314yes—
634#389C2314yes—
635#389C2314yes—
636#389C2314yes—
637#389C2312yes—
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2314yes—
641#389C2314yes—
642#389C2312yes—
643#388C2312yes—
644#388C2314yes—
645#388C2312yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2312yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2314yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2312yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2312yes—
701#387C2314yes—
702#387C2314yes—
703#387C2312yes—
704#387C2312yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2312yes—
711#386C2314yes—
712#386C2312yes—
713#386C2312yes—
714#385C2312yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2314yes—
726#385C2312yes—
727#385C2312yes—
728#385C2314yes—
729#385C2312yes—
730#385C2312yes—
731#385C2312yes—
732#385C2312yes—
733#384C2312yes—
734#384C2312yes—
735#384C2312yes—
736#384C2312yes—
737#384C2312yes—
738#384C2311yescharacteristic
739#384C2311yescharacteristic
740#382C2314yes—
741#382C2312yes—
742#382C2312yes—
743#382C2314yes—
744#382C2314yes—
745#382C2314yes—
746#382C2312yes—
747#382C2312yes—
748#382C2312yes—
749#382C2311yescharacteristic
750#382C2311yescharacteristic
751#382C2312yes—
752#382C2314yes—
753#382C2312yes—
754#381C2314yes—
755#381C2314yes—
756#381C2314yes—
757#381C2314yes—
758#381C2314yes—
759#381C2314yes—
760#381C2314yes—
761#381C2314yes—
762#381C2314yes—
763#381C2312yes—
764#381C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2314yes—
768#380C2312yes—
769#380C2314yes—
770#380C2314yes—
771#380C2314yes—
772#380C2312yes—
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775#380C2314yes—
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#380C2312yes—
779#380C2314yes—
780#380C2311yescharacteristic
781#380C2311yescharacteristic
782#380C2311yescharacteristic
783#380C2311yescharacteristic
784#380C2312yes—
785#379C2312yes—
786#379C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815#376C2312yes—
816C2×#95C2312yes—
817C2×#95C2311yescharacteristic
818C2×#95C2312yes—
819C2×#95C2312yes—
820C2×#95C2311yescharacteristic
821C43C2312yes—
822C25C2411yescharacteristic
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C22×Q8—24no—
827C22×Q8—24no—
828C22×Q8—24no—
829C22×Q8—24no—
830C22×Q8—24no—
831C22×Q8—24no—
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×Q8C2412yes—
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×Q8C2412yes—
839C22×Q8C2412yes—
840C22×Q8C2412yes—
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C23×C4—24no—
846C23×C4—24no—
847C23×C4—24no—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2414yes—
865C23×C4C2411yescharacteristic
866C4⋊Q8—42no—
867C4⋊Q8—42no—
868C4⋊Q8—42no—
869C4⋊Q8—42no—
870C4⋊Q8—44no—
871C4⋊Q8—44no—
872C4⋊Q8—44no—
873C4⋊Q8—44no—
874C4⋊Q8—44no—
875C4⋊Q8—44no—
876#125—48no—
877#125—42no—
878#125—42no—
879#125—42no—
880#125—42no—
881#124—28no—
882#124—44no—
883#124—44no—
884#124—44no—
885#123—44no—
886#123—48no—
887#123—48no—
888C22⋊Q8—28no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—44no—
894C22⋊Q8—48no—
895C22⋊Q8—44no—
896C22⋊Q8—44no—
897C22⋊Q8—44no—
898C22⋊Q8—44no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902C22⋊Q8—44no—
903C22⋊Q8—42no—
904C22⋊Q8—42no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909#121—42no—
910#121—42no—
911#120—44no—
912C4×Q8—44no—
913C4×Q8—44no—
914C4×Q8—44no—
915C4×Q8—44no—
916C4×Q8—44no—
917C4×Q8—44no—
918C4×Q8—44no—
919C4×Q8—44no—
920C4×Q8—44no—
921C4×Q8—44no—
922C4×Q8—44no—
923C4×Q8—44no—
924C4×Q8—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—48no—
929#117—24no—
930#117—24no—
931#117—24no—
932#117—24no—
933#117—24no—
934#117—24no—
935#117—24no—
936#117—44no—
937#117—44no—
938#117—48no—
939#117—42no—
940#117—42no—
941#117—44no—
942C2×C4⋊C4—24no—
943C2×C4⋊C4—24no—
944C2×C4⋊C4—44no—
945C2×C4⋊C4—42no—
946C2×C4⋊C4—42no—
947C2×C4⋊C4—44no—
948C2×C4⋊C4—44no—
949C2×C4⋊C4—44no—
950C2×C4⋊C4—44no—
951C2×C4⋊C4—44no—
952C2×C4⋊C4—44no—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2411yescharacteristic
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2414yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C22⋊C4—24no—
1031C2×C22⋊C4—42no—
1032C2×C22⋊C4—44no—
1033C2×C22⋊C4—44no—
1034C2×C22⋊C4—44no—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2411yescharacteristic
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2411yescharacteristic
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2411yescharacteristic
1083C2×C42—24no—
1084C2×C42—24no—
1085C2×C42—44no—
1086C2×C42—44no—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2414yes—
1108C2×C42C2414yes—
1109C2×C42C2414yes—
1110C2×C42C2414yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113#95C2411yescharacteristic
1114#95C2411yescharacteristic
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2411yescharacteristic
1120#95C2411yescharacteristic
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2412yes—
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193C24—22no—
1194C24—22no—
1195C24—22no—
1196C24—22no—
1197C24—41no—
1198C24—41no—
1199C24—41no—
1200C24C2511yescharacteristic
1201C24C2512yes—
1202C24C2511yescharacteristic
1203C24C2511yescharacteristic
1204#41—416no—
1205C2×Q8—24no—
1206C2×Q8—24no—
1207C2×Q8—24no—
1208C2×Q8—24no—
1209C2×Q8—22no—
1210C2×Q8—24no—
1211C2×Q8—24no—
1212C2×Q8—24no—
1213C2×Q8—22no—
1214C2×Q8—24no—
1215C2×Q8—24no—
1216C2×Q8—24no—
1217C2×Q8—24no—
1218C2×Q8—24no—
1219C2×Q8—22no—
1220C2×Q8—24no—
1221C2×Q8—24no—
1222C2×Q8—24no—
1223C2×Q8—42no—
1224C2×Q8—42no—
1225C2×Q8—42no—
1226C2×Q8—42no—
1227C2×Q8—42no—
1228C2×Q8—42no—
1229C2×Q8—42no—
1230C2×Q8—42no—
1231C2×Q8—42no—
1232C2×Q8—416no—
1233C2×Q8—416no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—42no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—24no—
1250C22×C4—24no—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—24no—
1256C22×C4—22no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—24no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—24no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—24no—
1279C22×C4—22no—
1280C22×C4—42no—
1281C22×C4—41no—
1282C22×C4—41no—
1283C22×C4—41no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—41no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—41no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—416no—
1298C22×C4H(5,𝔽2)14yes—
1299C22×C4H(5,𝔽2)14yes—
1300C22×C42−1+414yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2512yes—
1310C22×C4C2511yescharacteristic
1311C22×C4C2512yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2512yes—
1314C22×C4C2512yes—
1315C22×C4C2512yes—
1316C22×C4C2514yes—
1317C22×C4C2514yes—
1318C22×C4C2512yes—
1319C22×C4C2514yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2514yes—
1326C22×C4C2512yes—
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—22no—
1337C4⋊C4—22no—
1338C4⋊C4—22no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—22no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—22no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—28no—
1354C4⋊C4—24no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4—44no—
1361C4⋊C4—44no—
1362C4⋊C4—44no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—44no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—42no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4—44no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—42no—
1388C4⋊C4—42no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—24no—
1415C22⋊C4—22no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—22no—
1420C22⋊C4—22no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—22no—
1424C22⋊C4—22no—
1425C22⋊C4—24no—
1426C22⋊C4—41no—
1427C22⋊C4—41no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—42no—
1439C22⋊C4—42no—
1440C22⋊C4—44no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—42no—
1448C22⋊C4—44no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—42no—
1455C22⋊C4—42no—
1456C22⋊C42−1+414yes—
1457C42—22no—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—22no—
1465C42—24no—
1466C42—24no—
1467C42—24no—
1468C42—24no—
1469C42—24no—
1470C42—24no—
1471C42—24no—
1472C42—24no—
1473C42—24no—
1474C42—42no—
1475C42—42no—
1476C42—44no—
1477C42—44no—
1478C42—42no—
1479C42—42no—
1480C42—44no—
1481C42—44no—
1482C42—44no—
1483C23—21no—
1484C23—21no—
1485C23—21no—
1486C23—21no—
1487C23—21no—
1488C23—21no—
1489C23—21no—
1490C23—21no—
1491C23—21no—
1492C23—21no—
1493C23—21no—
1494C23—21no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—21no—
1499C23—21no—
1500C23—22no—
1501C23—22no—
1502C23—21no—
1503C23—22no—
1504C23—21no—
1505C23—22no—
1506C23—21no—
1507C23—44no—
1508C23—44no—
1509C23—44no—
1510C23—44no—
1511C23—82no—
1512C23—82no—
1513C23—82no—
1514C23C2×H(5,𝔽2)12yes—
1515C23C2×H(5,𝔽2)12yes—
1516C23C2×2−1+412yes—
1517C23C2×2−1+412yes—
1518C23C2611yescharacteristic
1519Q8—48no—
1520Q8—48no—
1521Q8—48no—
1522Q8—48no—
1523Q8—44no—
1524Q8—84no—
1525Q8—84no—
1526Q8—84no—
1527Q8—84no—
1528D4—48no—
1529D4—44no—
1530D4—84no—
1531D4—84no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—21no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—24no—
1559C2×C4—22no—
1560C2×C4—24no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—24no—
1565C2×C4—24no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—24no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—44no—
1617C2×C4—44no—
1618C2×C4—44no—
1619C2×C4—48no—
1620C2×C4—44no—
1621C2×C4—48no—
1622C2×C4—48no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—44no—
1626C2×C4—44no—
1627C2×C4—48no—
1628C2×C4—82no—
1629C2×C4—84no—
1630C2×C4—84no—
1631C2×C4—84no—
1632C2×C4—164no—
1633C2×C4#562116yes—
1634C2×C4C2×H(5,𝔽2)12yes—
1635C2×C4C2×H(5,𝔽2)12yes—
1636C2×C4C2×H(5,𝔽2)12yes—
1637C2×C4C2×H(5,𝔽2)12yes—
1638C2×C4C2×2−1+412yes—
1639C2×C4C2×2−1+412yes—
1640C2×C4C2×2−1+412yes—
1641C2×C4C2×2−1+412yes—
1642C2×C4#58512yes—
1643C22—22no—
1644C22—22no—
1645C22—22no—
1646C22—22no—
1647C22—22no—
1648C22—22no—
1649C22—22no—
1650C22—22no—
1651C22—22no—
1652C22—41no—
1653C22—41no—
1654C22—41no—
1655C22—41no—
1656C22—42no—
1657C22—41no—
1658C22—42no—
1659C22—41no—
1660C22—41no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—41no—
1665C22—41no—
1666C22—41no—
1667C22—42no—
1668C22—42no—
1669C22—41no—
1670C22—88no—
1671C22C2×#56214yes—
1672C22C22×H(5,𝔽2)11yescharacteristic
1673C22C22×H(5,𝔽2)11yescharacteristic
1674C22C22×2−1+411yescharacteristic
1675C22C22×2−1+411yescharacteristic
1676C22C2×#58511yescharacteristic
1677C222−1+611yescharacteristic
1678C222−1+611yescharacteristic
1679C4—22no—
1680C4—22no—
1681C4—22no—
1682C4—42no—
1683C4—42no—
1684C4—42no—
1685C4—44no—
1686C4—41no—
1687C4—41no—
1688C4—42no—
1689C4—42no—
1690C4—42no—
1691C4—41no—
1692C4—41no—
1693C4—42no—
1694C4—42no—
1695C4—42no—
1696C4—42no—
1697C4—42no—
1698C4—41no—
1699C4—41no—
1700C4—42no—
1701C4—44no—
1702C4—44no—
1703C4—41no—
1704C4—42no—
1705C4—44no—
1706C4—42no—
1707C4—42no—
1708C4C2×#56214yes—
1709C4C2×#56214yes—
1710C2—24no—
1711C2—42no—
1712C2—82no—
1713C2—81no—
1714C2C22×#56211yescharacteristic
1715C2#6283711yescharacteristic
1716C2#6288911yescharacteristic
1717C2#6292511yescharacteristic
1718C2#6294211yescharacteristic
1719C2#6294211yescharacteristic
1720C2#6295411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#525C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #53145C2semidirect
2. #53145C2semidirect
3. #53140C2semidirect
4. #53138C2semidirect
5. #53077C2semidirect
6. #53030C2semidirect
7. #53021C2semidirect
8. #53013C2semidirect
9. #52722C2semidirect
10. #52374C2semidirect
11. #46055C2semidirect
12. #46055C2semidirect
13. #46023C2semidirect
14. #46005C2semidirect
15. #45752C2semidirect
16. #45703C2semidirect
17. #45634C2semidirect
18. #45619C2semidirect
19. #45557C2semidirect
20. #45500C2semidirect
21. #35672C2semidirect
22. #35667C2semidirect
23. #35662C2semidirect
25. #35619C2semidirect
26. #35519C2semidirect
27. #35320C2semidirect
28. #35311C2semidirect
30. #35265C2semidirect
31. #35182C2semidirect
32. #35179C2semidirect
34. #34739C2semidirect
35. C2×#2429C2semidirect
48. #2864C22semidirect
49. #2862C22semidirect
50. #2862C22semidirect
51. #2859C22semidirect
58. #2845C22semidirect
60. #2841C22semidirect
61. #2839C22semidirect
62. #2839C22semidirect
63. #2839C22semidirect
64. #2839C22semidirect
69. #2836C22semidirect
70. #2836C22semidirect
73. #2831C22semidirect
74. #2831C22semidirect
79. #2806C22semidirect
80. #2806C22semidirect
81. #2802C22semidirect
82. #2802C22semidirect
83. #2802C22semidirect
84. #2802C22semidirect
86. #2798C22semidirect
88. #2788C22semidirect
90. #2783C22semidirect
94. #2772C22semidirect
96. #2768C22semidirect
99. #2755C22semidirect
100. #2755C22semidirect
101. #2755C22semidirect
102. #2755C22semidirect
104. #2754C22semidirect
106. #2747C22semidirect
108. #2744C22semidirect
112. #2739C22semidirect
115. #2704C22semidirect
118. #2647C22semidirect
119. #2647C22semidirect
120. #2642C22semidirect
121. #2642C22semidirect
128. #2582C22semidirect
129. #2582C22semidirect
130. #2582C22semidirect
131. #2582C22semidirect
132. #2582C22semidirect
133. #2581C22semidirect
134. #2581C22semidirect
135. #2581C22semidirect
136. #2581C22semidirect
137. #2581C22semidirect
138. #2580C22semidirect
139. #2568C22semidirect
140. #2568C22semidirect
141. #2568C22semidirect
142. #2568C22semidirect
143. #2568C22semidirect
144. #2567C22semidirect
145. #2565C22semidirect
146. #2565C22semidirect
147. #2546C22semidirect
148. #2546C22semidirect
149. #2545C22semidirect
150. #2545C22semidirect
151. #2538C22semidirect
153. #2509C22semidirect
154. #2508C22semidirect
155. #2507C22semidirect
156. #2506C22semidirect
161. #2503C22semidirect
163. #2502C22semidirect
166. #2499C22semidirect
167. #2499C22semidirect
186. #2453C22semidirect
187. #2453C22semidirect
188. #2451C22semidirect
189. #2451C22semidirect
192. #2448C22semidirect
193. #2448C22semidirect
194. #2447C22semidirect
195. #2447C22semidirect
196. #2446C22semidirect
197. #2446C22semidirect
198. #2446C22semidirect
199. #2446C22semidirect
202. #2442C22semidirect
205. #2441C22semidirect
208. #2440C22semidirect
211. #2439C22semidirect
228. #2429C22semidirect
229. #2429C22semidirect
230. #2429C22semidirect
231. #2429C22semidirect
238. #2423C22semidirect
239. #2423C22semidirect
244. #2421C22semidirect
245. #2421C22semidirect
266. #2382C22semidirect
269. #2378C22semidirect

Maximal subgroups

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

subgroupindex
#531452
#531402
#531382
#530772
#530302
#530212
#530132
#527222
#523742
#460552
#460232
#460052
#457522
#457032
#456342
#456192
#455572
#455002
#356722
#356672
#356622
#356332
#356192
#355192
#353202
#353112
#353062
#352652
#351822
#351792
#348132
#347392
C2×#24292