Finite Group Databasebeta

← #7644203

Subgroups — #7644203

Order 512.

5388 conjugacy classes of subgroups.

The subgroup lattice has 1828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42907C212yesmaximal, complemented
2#42906C212yesmaximal, complemented
3#42894C212yesmaximal, complemented
4#42892C212yesmaximal, complemented
5#42874C212yesmaximal, complemented
6#42867C212yesmaximal, complemented
7#42866C212yesmaximal, complemented
8#42862C212yesmaximal, complemented
9#42860C212yesmaximal, complemented
10#42855C212yesmaximal, complemented
11#42852C212yesmaximal, complemented
12#42843C212yesmaximal, complemented
13#42839C212yesmaximal, complemented
14#42835C212yesmaximal, complemented
15#42831C212yesmaximal, complemented
16#42828C212yesmaximal, complemented
17#37497C214yesmaximal, complemented
18#37496C214yesmaximal, complemented
19#36823C214yesmaximal, complemented
20#36795C214yesmaximal, complemented
21#35668C211yesmaximal, characteristic, complemented
22#35661C211yesmaximal, characteristic, complemented
23#35660C211yesmaximal, characteristic, complemented
24#35659C211yesmaximal, characteristic, complemented
25#35545C211yesmaximal, characteristic, complemented
26#35542C211yesmaximal, characteristic, complemented
27#35518C211yesmaximal, characteristic, complemented
28#35517C211yesmaximal, characteristic, complemented
29#35160C211yesmaximal, characteristic, complemented
30#35158C211yesmaximal, characteristic, complemented
31#34635C211yesmaximal, characteristic, complemented
32#34633C211yesmaximal, characteristic, complemented
33#34266C211yesmaximal, characteristic, complemented
34#34257C211yesmaximal, characteristic, complemented
35C2×#2323C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C2×#544C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#536C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C22×C22⋊Q8C2211yescharacteristic
45C2×#520C2211yescharacteristic
46C2×#519C2211yescharacteristic
47C22×C4×Q8C2211yescharacteristic
48C22×#117C2211yescharacteristic
49#2852C2214yes—
50#2850C2214yes—
51#2833C2214yescomplemented
52#2832C2214yes—
53#2831C2214yes—
54#2831C2214yescomplemented
55#2830C2214yescomplemented
56#2829C2214yes—
57#2829C2214yescomplemented
58#2828C2214yes—
59#2808C2214yes—
60#2806C2214yescomplemented
61#2803C2214yes—
62#2803C2214yes—
63#2803C2214yescomplemented
64#2800C2214yescomplemented
65#2788C2214yescomplemented
66#2788C2214yescomplemented
67#2786C2214yes—
68#2781C2214yes—
69#2780C2214yescomplemented
70#2779C2214yes—
71#2779C2214yescomplemented
72#2778C2214yes—
73#2775C2214yes—
74#2775C2214yescomplemented
75#2774C2214yescomplemented
76#2770C2214yescomplemented
77#2768C2214yescomplemented
78#2768C2214yescomplemented
79#2759C2214yes—
80#2756C2214yes—
81#2756C2214yes—
82#2751C2214yes—
83#2733C2214yes—
84#2727C2214yescomplemented
85#2715C2214yes—
86#2715C2214yescomplemented
87#2714C2214yes—
88#2710C2214yescomplemented
89#2695C2214yescomplemented
90#2686C2214yes—
91#2666C2214yescomplemented
92#2665C2214yescomplemented
93#2662C2214yes—
94#2661C2214yes—
95#2653C2214yes—
96#2653C2214yes—
97#2653C2214yescomplemented
98#2652C2214yescomplemented
99#2652C2214yescomplemented
100#2651C2214yescomplemented
101#2650C2214yes—
102#2649C2214yes—
103#2649C2214yescomplemented
104#2648C2214yes—
105#2648C2214yes—
106#2648C2214yescomplemented
107#2643C2214yes—
108#2639C2214yes—
109#2625C2211yescharacteristic
110#2625C2211yescharacteristic
111#2625C2211yescharacteristic
112#2625C2211yescharacteristic
113#2624C2211yescharacteristic
114#2624C2211yescharacteristic
115#2624C2211yescharacteristic
116#2624C2211yescharacteristic
117#2623C2212yes—
118#2623C2212yes—
119#2622C2212yes—
120#2622C2212yes—
121#2621C2211yescharacteristic
122#2621C2211yescharacteristic
123#2620C2211yescharacteristic
124#2620C2211yescharacteristic
125#2620C2211yescharacteristic
126#2620C2211yescharacteristic
127#2619C2211yescharacteristic
128#2619C2211yescharacteristic
129#2618C2212yes—
130#2618C2212yes—
131#2617C2212yes—
132#2617C2212yes—
133#2597C2214yes—
134#2595C2214yes—
135#2589C2214yescomplemented
136#2587C2214yescomplemented
137#2578C2214yescomplemented
138#2576C2214yescomplemented
139#2568C2212yescomplemented
140#2567C2212yescomplemented
141#2565C2212yescomplemented
142#2565C2212yescomplemented
143#2563C2212yes—
144#2562C2212yes—
145#2562C2212yes—
146#2559C2214yes—
147#2557C2214yes—
148#2547C2212yes—
149#2538C2212yes—
150#2538C2212yes—
151#2538C2212yes—
152#2537C2212yes—
153#2536C2212yes—
154#2536C2212yes—
155#2536C2212yes—
156#2535C2212yes—
157#2514C2212yescomplemented
158#2514C2212yescomplemented
159#2513C2212yescomplemented
160#2513C2212yescomplemented
161#2512C2212yescomplemented
162#2512C2212yescomplemented
163#2511C2212yescomplemented
164#2511C2212yescomplemented
165#2510C2214yes—
166#2497C2212yescomplemented
167#2497C2212yescomplemented
168#2496C2212yescomplemented
169#2496C2212yescomplemented
170#2495C2212yescomplemented
171#2495C2212yescomplemented
172#2494C2212yescomplemented
173#2494C2212yescomplemented
174#2492C2212yes—
175#2492C2212yescomplemented
176#2492C2212yescomplemented
177#2491C2212yes—
178#2491C2212yescomplemented
179#2491C2212yescomplemented
180#2490C2212yes—
181#2490C2212yescomplemented
182#2490C2212yescomplemented
183#2489C2212yes—
184#2489C2212yescomplemented
185#2489C2212yescomplemented
186#2488C2214yes—
187#2487C2212yescomplemented
188#2486C2212yescomplemented
189#2485C2212yescomplemented
190#2485C2212yescomplemented
191#2481C2214yes—
192#2472C2214yes—
193#2453C2212yescomplemented
194#2453C2212yescomplemented
195#2451C2212yescomplemented
196#2451C2212yescomplemented
197#2448C2212yescomplemented
198#2447C2212yescomplemented
199#2446C2212yescomplemented
200#2445C2212yescomplemented
201#2444C2214yes—
202#2443C2214yes—
203#2438C2214yes—
204#2438C2214yes—
205#2436C2212yescomplemented
206#2434C2212yescomplemented
207#2432C2212yescomplemented
208#2431C2212yescomplemented
209#2430C2214yes—
210#2430C2214yes—
211#2429C2212yes—
212#2429C2212yes—
213#2426C2212yes—
214#2426C2212yes—
215#2425C2214yes—
216#2424C2214yes—
217#2417C2212yes—
218#2416C2212yes—
219#2415C2212yes—
220#2414C2212yes—
221#2413C2214yes—
222#2411C2214yes—
223#2409C2212yes—
224#2409C2212yes—
225#2409C2212yes—
226#2409C2212yes—
227#2409C2212yescomplemented
228#2409C2212yescomplemented
229#2407C2212yes—
230#2407C2212yes—
231#2407C2212yes—
232#2407C2212yes—
233#2407C2212yescomplemented
234#2407C2212yescomplemented
235#2406C2214yes—
236#2404C2214yes—
237#2395C2212yes—
238#2395C2212yes—
239#2395C2212yes—
240#2395C2212yes—
241#2392C2212yes—
242#2392C2212yes—
243#2392C2212yes—
244#2392C2212yes—
245#2367C2212yescomplemented
246#2367C2212yescomplemented
247#2365C2212yescomplemented
248#2365C2212yescomplemented
249#2362C2212yescomplemented
250#2362C2212yescomplemented
251#2360C2212yescomplemented
252#2360C2212yescomplemented
253#2341C2212yescomplemented
254#2341C2212yescomplemented
255#2341C2212yescomplemented
256#2341C2212yescomplemented
257Q8×C22⋊C4C2212yescomplemented
258Q8×C22⋊C4C2212yescomplemented
259Q8×C22⋊C4C2212yescomplemented
260Q8×C22⋊C4C2212yescomplemented
261#2323C2212yes—
262#2323C2212yes—
263#2323C2212yes—
264#2323C2212yes—
265#2323C2212yes—
266#2323C2212yes—
267#2323C2212yes—
268#2323C2212yes—
269#2322C2214yes—
270#2317C2211yescharacteristic
271#2317C2211yescharacteristic
272#2311C2211yescharacteristic
273#2311C2211yescharacteristic
274#2311C2211yescharacteristic
275#2311C2211yescharacteristic
276#2311C2214yes—
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2310C2211yescharacteristic
280C4×#123C2214yes—
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2297C2214yes—
286#2296C2211yescharacteristic
287#2296C2211yescharacteristic
288C2×#391C2211yescharacteristic
289C2×#389C2211yescharacteristic
290C2×#389C2212yes—
291C2×#388C2212yes—
292C2×#388C2212yes—
293C2×#387C2212yes—
294#2285C2211yescharacteristic
295#2280C2211yescharacteristic
296C2×#380C2211yescharacteristic
297#2274C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C2×2−1+4—28no—
300C2×2−1+4—44no—
301C2×2−1+4—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2314yes—
306C22×#41C2312yes—
307C22×#41C2312yes—
308C23×Q8C2311yescharacteristic
309C23×Q8C2312yes—
310C23×Q8C2312yes—
311C24×C4C2311yescharacteristic
312#544—44no—
313#537—44no—
314#536—28no—
315#532—44no—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2311yescharacteristic
320C2×#127C2311yescharacteristic
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2311yescharacteristic
328C2×#124C2314yes—
329C2×#124C2314yes—
330#525—44no—
331#525—44no—
332#525—44no—
333C2×#123C2314yes—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2314yes—
338C2×C22⋊Q8—28no—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2311yescharacteristic
358C2×#121C2311yescharacteristic
359C2×#121C2311yescharacteristic
360C2×#121C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#121C2311yescharacteristic
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#120C2312yes—
367C2×#120C2312yes—
368C2×#120C2312yes—
369#520—44no—
370#519—44no—
371C2×C4×Q8—44no—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2312yes—
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×#117—44no—
392C2×#117C2311yescharacteristic
393C2×#117C2311yescharacteristic
394C2×#117C2311yescharacteristic
395C2×#117C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2314yes—
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2311yescharacteristic
403C2×#117C2311yescharacteristic
404C2×#117C2311yescharacteristic
405C2×#117C2311yescharacteristic
406C2×#117C2312yes—
407C22×C4⋊C4C2311yescharacteristic
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2311yescharacteristic
410C22×C4⋊C4C2312yes—
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2311yescharacteristic
414C22×C4⋊C4C2311yescharacteristic
415C22×C4⋊C4C2312yes—
416C22×C22⋊C4C2312yes—
417C22×C22⋊C4C2311yescharacteristic
418C22×C22⋊C4C2311yescharacteristic
419C22×C22⋊C4C2312yes—
420C22×C42C2311yescharacteristic
421C22×C42C2311yescharacteristic
422C22×C42C2312yes—
423C22×C42C2312yes—
424#401C2314yes—
425#401C2314yes—
426#400C2314yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2312yes—
438#400C2314yes—
439#400C2314yes—
440#400C2312yes—
441#400C2312yes—
442#400C2312yes—
443#399C2314yes—
444#399C2312yes—
445#399C2312yes—
446#399C2312yes—
447#399C2312yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2312yes—
455#398C2312yes—
456#398C2314yes—
457#398C2314yes—
458#398C2312yes—
459#398C2312yes—
460#398C2312yes—
461#398C2312yes—
462#398C2312yes—
463#398C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2312yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2312yes—
475#397C2312yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2312yes—
481#397C2314yes—
482#397C2312yes—
483#397C2312yes—
484#397C2312yes—
485#397C2312yes—
486#397C2312yes—
487#397C2312yes—
488#397C2312yes—
489#397C2312yes—
490#397C2312yes—
491#397C2312yes—
492#397C2312yes—
493#397C2312yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2312yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2312yes—
503#396C2314yes—
504#396C2312yes—
505#396C2312yes—
506#396C2312yes—
507#396C2312yes—
508#396C2312yes—
509#396C2312yes—
510#395C2314yes—
511#395C2314yes—
512#395C2314yes—
513#395C2314yes—
514#395C2314yes—
515#395C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2312yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2312yes—
523#394C2312yes—
524#394C2314yes—
525#394C2314yes—
526#394C2312yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2312yes—
534#394C2314yes—
535#394C2314yes—
536#394C2312yes—
537#394C2312yes—
538#394C2312yes—
539#394C2312yes—
540#394C2312yes—
541#394C2312yes—
542#394C2312yes—
543#394C2312yes—
544#394C2312yes—
545#394C2312yes—
546#394C2312yes—
547#394C2312yes—
548#394C2312yes—
549#394C2312yes—
550#394C2312yes—
551#393C2314yes—
552#393C2314yes—
553#393C2314yes—
554#393C2314yes—
555#393C2314yes—
556#393C2314yes—
557#393C2314yes—
558#393C2314yes—
559#392C2312yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2312yes—
566#392C2312yes—
567#392C2312yes—
568#391C2312yes—
569#391C2312yes—
570#391C2312yes—
571#391C2312yes—
572#391C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2312yes—
576#391C2314yes—
577#391C2314yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#391C2314yes—
583#391C2314yes—
584#391C2314yes—
585#391C2314yes—
586#391C2312yes—
587#391C2312yes—
588#391C2314yes—
589#391C2314yes—
590#391C2311yescharacteristic
591#391C2311yescharacteristic
592#391C2311yescharacteristic
593#391C2311yescharacteristic
594#391C2311yescharacteristic
595#391C2311yescharacteristic
596#391C2311yescharacteristic
597#391C2311yescharacteristic
598#390C2314yes—
599#390C2312yes—
600#390C2312yes—
601#390C2314yes—
602#390C2314yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2314yes—
608#390C2314yes—
609#390C2314yes—
610#390C2314yes—
611#390C2311yescharacteristic
612#390C2311yescharacteristic
613#390C2311yescharacteristic
614#390C2311yescharacteristic
615#390C2311yescharacteristic
616#390C2311yescharacteristic
617#390C2311yescharacteristic
618#390C2311yescharacteristic
619#390C2314yes—
620#390C2314yes—
621#389C2314yes—
622#389C2314yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2314yes—
628#389C2314yes—
629#389C2314yes—
630#389C2312yes—
631#389C2312yes—
632#389C2314yes—
633#389C2314yes—
634#389C2314yes—
635#389C2312yes—
636#389C2312yes—
637#389C2314yes—
638#389C2314yes—
639#389C2314yes—
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
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#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
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#387C2314yes—
701#387C2314yes—
702#386C2312yes—
703#386C2312yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2312yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2312yes—
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#385C2314yes—
744#384C2311yescharacteristic
745#384C2312yes—
746#384C2311yescharacteristic
747#384C2312yes—
748#383C2314yes—
749#383C2314yes—
750#382C2314yes—
751#382C2311yescharacteristic
752#382C2312yes—
753#382C2311yescharacteristic
754#382C2312yes—
755#382C2314yes—
756#381C2314yes—
757#381C2314yes—
758#381C2312yes—
759#380C2312yes—
760#380C2311yescharacteristic
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2314yes—
769#380C2314yes—
770#380C2312yes—
771#380C2312yes—
772#380C2314yes—
773#380C2314yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2314yes—
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2311yescharacteristic
786#379C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2314yes—
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2314yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C2×#95C2312yes—
823C2×#95C2312yes—
824C2×#95C2312yes—
825C25C2411yescharacteristic
8262−1+4—464no—
827C2×#41—28no—
828C2×#41—28no—
829C2×#41—24no—
830C2×#41—216no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—48no—
840C2×#41—48no—
841C2×#41—44no—
842C2×#41—44no—
843C2×#41—44no—
844C2×#41—44no—
845C22×Q8—28no—
846C22×Q8—28no—
847C22×Q8—24no—
848C22×Q8—24no—
849C22×Q8—44no—
850C22×Q8—44no—
851C22×Q8—44no—
852C22×Q8—44no—
853C22×Q8#4118yes—
854C22×Q8C2411yescharacteristic
855C22×Q8C2411yescharacteristic
856C22×Q8C2411yescharacteristic
857C22×Q8C2412yes—
858C22×Q8C2412yes—
859C22×Q8C2414yes—
860C22×Q8C2414yes—
861C22×D4C2412yes—
862C22×D4C2411yescharacteristic
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2411yescharacteristic
866C22×D4C2411yescharacteristic
867C22×D4C2414yes—
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2414yes—
877C23×C4—24no—
878C23×C4—24no—
879C23×C4—24no—
880C23×C4C2411yescharacteristic
881C23×C4C2412yes—
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2411yescharacteristic
885C23×C4C2411yescharacteristic
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2411yescharacteristic
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2411yescharacteristic
895C23×C4C2411yescharacteristic
896C23×C4C2414yes—
897C23×C4C2414yes—
898C23×C4C2414yes—
899C23×C4C2411yescharacteristic
900C4⋊Q8—28no—
901C4⋊Q8—44no—
902C4⋊Q8—44no—
903C4⋊Q8—42no—
904#127—42no—
905#126—84no—
906#126—84no—
907#125—44no—
908#125—44no—
909#124—28no—
910#124—42no—
911#124—42no—
912#124—84no—
913#124—84no—
914#123—216no—
915#123—44no—
916#123—44no—
917#123—44no—
918#123—84no—
919C22⋊Q8—28no—
920C22⋊Q8—28no—
921C22⋊Q8—28no—
922C22⋊Q8—28no—
923C22⋊Q8—28no—
924C22⋊Q8—28no—
925C22⋊Q8—48no—
926C22⋊Q8—42no—
927C22⋊Q8—42no—
928C22⋊Q8—42no—
929C22⋊Q8—42no—
930C22⋊Q8—42no—
931C22⋊Q8—42no—
932C22⋊Q8—44no—
933C22⋊Q8—44no—
934#121—42no—
935#121—42no—
936#121—42no—
937#121—42no—
938#121—42no—
939#121—42no—
940#121—44no—
941#121—44no—
942#121—44no—
943#121—44no—
944#121—48no—
945#121—84no—
946#120—44no—
947#120—44no—
948#120—44no—
949C4×Q8—44no—
950C4×Q8—44no—
951C4×Q8—44no—
952C4×Q8—44no—
953C4×Q8—44no—
954C4×Q8—44no—
955C4×Q8—44no—
956C4×Q8—44no—
957C4×Q8—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—48no—
968#117—24no—
969#117—24no—
970#117—24no—
971#117—24no—
972#117—24no—
973#117—42no—
974#117—42no—
975#117—42no—
976#117—42no—
977#117—42no—
978#117—42no—
979#117—42no—
980#117—42no—
981#117—48no—
982#117—44no—
983C2×C4⋊C4—24no—
984C2×C4⋊C4—28no—
985C2×C4⋊C4—24no—
986C2×C4⋊C4—24no—
987C2×C4⋊C4—44no—
988C2×C4⋊C4—42no—
989C2×C4⋊C4—42no—
990C2×C4⋊C4—44no—
991C2×C4⋊C4—82no—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C22⋊C4—28no—
1056C2×C22⋊C4—42no—
1057C2×C22⋊C4—42no—
1058C2×C22⋊C4—82no—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C42—24no—
1130C2×C42—24no—
1131C2×C42—44no—
1132C2×C42—82no—
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2414yes—
1147C2×C42C2414yes—
1148C2×C42C2414yes—
1149C2×C42C2414yes—
1150C2×C42C2414yes—
1151C2×C42C2414yes—
1152C2×C42C2414yes—
1153C2×C42C2414yes—
1154C2×C42C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219C24—22no—
1220C24—22no—
1221C24—22no—
1222C24—41no—
1223C24—41no—
1224C24—41no—
1225C24—41no—
1226C24C2511yescharacteristic
1227C24C2511yescharacteristic
1228C24C2512yes—
1229C24C2512yes—
1230C24C2512yes—
1231C24C2511yescharacteristic
1232#41—464no—
1233#41—432no—
1234#41—432no—
1235#41—416no—
1236#41—416no—
1237#41—416no—
1238C2×Q8—232no—
1239C2×Q8—22no—
1240C2×Q8—28no—
1241C2×Q8—22no—
1242C2×Q8—22no—
1243C2×Q8—24no—
1244C2×Q8—24no—
1245C2×Q8—24no—
1246C2×Q8—24no—
1247C2×Q8—22no—
1248C2×Q8—22no—
1249C2×Q8—22no—
1250C2×Q8—22no—
1251C2×Q8—22no—
1252C2×Q8—22no—
1253C2×Q8—44no—
1254C2×Q8—44no—
1255C2×Q8—44no—
1256C2×Q8—44no—
1257C2×Q8—44no—
1258C2×Q8—432no—
1259C2×Q8—432no—
1260C2×Q8C2×#4118yes—
1261C2×Q8C2×#4118yes—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—22no—
1272C2×D4—28no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—24no—
1327C22×C4—28no—
1328C22×C4—28no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—24no—
1345C22×C4—41no—
1346C22×C4—42no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—42no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—42no—
1356C22×C4—42no—
1357C22×C4—41no—
1358C22×C4—42no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—41no—
1362C22×C4—42no—
1363C22×C4—44no—
1364C22×C4—44no—
1365C22×C4—44no—
1366C22×C4—416no—
1367C22×C4C2×#4118yes—
1368C22×C4C2×#4114yes—
1369C22×C4H(5,𝔽2)14yes—
1370C22×C4H(5,𝔽2)14yes—
1371C22×C4C2511yescharacteristic
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2512yes—
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2512yes—
1381C22×C4C2514yes—
1382C22×C4C2511yescharacteristic
1383C22×C4C2514yes—
1384C22×C4C2511yescharacteristic
1385C22×C4C2512yes—
1386C22×C4C2514yes—
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2512yes—
1393C22×C4C2511yescharacteristic
1394C22×C4C2512yes—
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2514yes—
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C4⋊C4—24no—
1401C4⋊C4—24no—
1402C4⋊C4—28no—
1403C4⋊C4—28no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—28no—
1407C4⋊C4—28no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—41no—
1421C4⋊C4—41no—
1422C4⋊C4—41no—
1423C4⋊C4—41no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—41no—
1427C4⋊C4—41no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—44no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—44no—
1455C4⋊C4—44no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—44no—
1462C4⋊C4—42no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—28no—
1469C22⋊C4—28no—
1470C22⋊C4—28no—
1471C22⋊C4—28no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—44no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C42—24no—
1534C42—22no—
1535C42—22no—
1536C42—22no—
1537C42—22no—
1538C42—22no—
1539C42—22no—
1540C42—22no—
1541C42—22no—
1542C42—24no—
1543C42—24no—
1544C42—24no—
1545C42—24no—
1546C42—44no—
1547C42—44no—
1548C42—44no—
1549C42—44no—
1550C42—44no—
1551C42—44no—
1552C42—44no—
1553C42—44no—
1554C42—44no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—21no—
1565C23—21no—
1566C23—21no—
1567C23—21no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—21no—
1577C23—21no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—22no—
1590C23—22no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—44no—
1595C23—44no—
1596C23—44no—
1597C23—82no—
1598C23—82no—
1599C23—82no—
1600C23—82no—
1601C23C22×#4112yes—
1602C23C2×H(5,𝔽2)12yes—
1603C23C2×H(5,𝔽2)12yes—
1604C23C2611yescharacteristic
1605Q8—216no—
1606Q8—216no—
1607Q8—416no—
1608Q8—44no—
1609Q8—44no—
1610Q8—44no—
1611Q8—164no—
1612D4—416no—
1613D4—48no—
1614D4—48no—
1615D4—48no—
1616D4—44no—
1617D4—44no—
1618D4—44no—
1619D4—84no—
1620D4—84no—
1621D4—84no—
1622D4—84no—
1623D4—84no—
1624D4—84no—
1625D4—84no—
1626D4—84no—
1627D4—164no—
1628C2×C4—24no—
1629C2×C4—24no—
1630C2×C4—216no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—24no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—24no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—24no—
1671C2×C4—24no—
1672C2×C4—22no—
1673C2×C4—24no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—24no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—24no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—24no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—416no—
1710C2×C4—416no—
1711C2×C4—48no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—44no—
1718C2×C4—44no—
1719C2×C4—48no—
1720C2×C4—48no—
1721C2×C4—48no—
1722C2×C4—82no—
1723C2×C4—84no—
1724C2×C4—84no—
1725C2×C4—82no—
1726C2×C4—164no—
1727C2×C4#538116yes—
1728C2×C4C22×#4118yes—
1729C2×C4C22×#4112yes—
1730C2×C4C22×#4112yes—
1731C2×C4C2×H(5,𝔽2)12yes—
1732C2×C4C2×H(5,𝔽2)12yes—
1733C2×C4C2×H(5,𝔽2)12yes—
1734C2×C4C2×H(5,𝔽2)12yes—
1735C22—22no—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—22no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—41no—
1745C22—41no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—41no—
1750C22—41no—
1751C22—42no—
1752C22—41no—
1753C22—42no—
1754C22—42no—
1755C22—41no—
1756C22—41no—
1757C22—41no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—41no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—41no—
1766C22—41no—
1767C22—41no—
1768C22—42no—
1769C22—42no—
1770C22—42no—
1771C22—42no—
1772C22—42no—
1773C22—41no—
1774C22—41no—
1775C22—42no—
1776C22—88no—
1777C22C2×#53814yes—
1778C22C23×#4111yescharacteristic
1779C22C22×H(5,𝔽2)11yescharacteristic
1780C22C22×H(5,𝔽2)11yescharacteristic
1781C22H(7,𝔽2)11yescharacteristic
1782C222−1+611yescharacteristic
1783C222−1+611yescharacteristic
1784C222−1+611yescharacteristic
1785C4—28no—
1786C4—42no—
1787C4—42no—
1788C4—44no—
1789C4—41no—
1790C4—41no—
1791C4—41no—
1792C4—44no—
1793C4—41no—
1794C4—42no—
1795C4—44no—
1796C4—42no—
1797C4—42no—
1798C4—42no—
1799C4—41no—
1800C4—41no—
1801C4—41no—
1802C4—41no—
1803C4—42no—
1804C4—42no—
1805C4—42no—
1806C4—42no—
1807C4—41no—
1808C4—41no—
1809C4—42no—
1810C4—42no—
1811C4—42no—
1812C4C2×#53814yes—
1813C4C2×#53814yes—
1814C2—24no—
1815C2—82no—
1816C2—82no—
1817C2—82no—
1818C2—81no—
1819C2—81no—
1820C2C22×#53811yescharacteristic
1821C2#6285011yescharacteristic
1822C2#6285111yescharacteristic
1823C2#6287511yescharacteristic
1824C2#6287811yescharacteristic
1825C2#6288611yescharacteristic
1826C2#6288811yescharacteristic
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. #42907C2semidirect
2. #42906C2semidirect
3. #42894C2semidirect
4. #42892C2semidirect
5. #42874C2semidirect
6. #42867C2semidirect
7. #42866C2semidirect
8. #42862C2semidirect
9. #42860C2semidirect
10. #42855C2semidirect
11. #42852C2semidirect
12. #42843C2semidirect
13. #42839C2semidirect
14. #42835C2semidirect
15. #42831C2semidirect
16. #42828C2semidirect
17. #37497C2semidirect
18. #37496C2semidirect
19. #36823C2semidirect
20. #36795C2semidirect
21. #35668C2semidirect
22. #35661C2semidirect
23. #35660C2semidirect
24. #35659C2semidirect
25. #35545C2semidirect
26. #35542C2semidirect
27. #35518C2semidirect
28. #35517C2semidirect
29. #35160C2semidirect
30. #35158C2semidirect
31. #34635C2semidirect
32. #34633C2semidirect
33. #34266C2semidirect
34. #34257C2semidirect
35. C2×#2323C2semidirect
51. #2833C22semidirect
54. #2831C22semidirect
55. #2830C22semidirect
57. #2829C22semidirect
60. #2806C22semidirect
63. #2803C22semidirect
64. #2800C22semidirect
65. #2788C22semidirect
66. #2788C22semidirect
69. #2780C22semidirect
71. #2779C22semidirect
74. #2775C22semidirect
75. #2774C22semidirect
76. #2770C22semidirect
77. #2768C22semidirect
78. #2768C22semidirect
84. #2727C22semidirect
86. #2715C22semidirect
88. #2710C22semidirect
89. #2695C22semidirect
91. #2666C22semidirect
92. #2665C22semidirect
97. #2653C22semidirect
98. #2652C22semidirect
99. #2652C22semidirect
100. #2651C22semidirect
103. #2649C22semidirect
106. #2648C22semidirect
135. #2589C22semidirect
136. #2587C22semidirect
137. #2578C22semidirect
138. #2576C22semidirect
139. #2568C22semidirect
140. #2567C22semidirect
141. #2565C22semidirect
142. #2565C22semidirect
157. #2514C22semidirect
158. #2514C22semidirect
159. #2513C22semidirect
160. #2513C22semidirect
161. #2512C22semidirect
162. #2512C22semidirect
163. #2511C22semidirect
164. #2511C22semidirect
166. #2497C22semidirect
167. #2497C22semidirect
168. #2496C22semidirect
169. #2496C22semidirect
170. #2495C22semidirect
171. #2495C22semidirect
172. #2494C22semidirect
173. #2494C22semidirect
175. #2492C22semidirect
176. #2492C22semidirect
178. #2491C22semidirect
179. #2491C22semidirect
181. #2490C22semidirect
182. #2490C22semidirect
184. #2489C22semidirect
185. #2489C22semidirect
187. #2487C22semidirect
188. #2486C22semidirect
189. #2485C22semidirect
190. #2485C22semidirect
193. #2453C22semidirect
194. #2453C22semidirect
195. #2451C22semidirect
196. #2451C22semidirect
197. #2448C22semidirect
198. #2447C22semidirect
199. #2446C22semidirect
200. #2445C22semidirect
205. #2436C22semidirect
206. #2434C22semidirect
207. #2432C22semidirect
208. #2431C22semidirect
227. #2409C22semidirect
228. #2409C22semidirect
233. #2407C22semidirect
234. #2407C22semidirect
245. #2367C22semidirect
246. #2367C22semidirect
247. #2365C22semidirect
248. #2365C22semidirect
249. #2362C22semidirect
250. #2362C22semidirect
251. #2360C22semidirect
252. #2360C22semidirect
253. #2341C22semidirect
254. #2341C22semidirect
255. #2341C22semidirect
256. #2341C22semidirect
257. Q8×C22⋊C4C22semidirect
258. Q8×C22⋊C4C22semidirect
259. Q8×C22⋊C4C22semidirect
260. Q8×C22⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#429072
#429062
#428942
#428922
#428742
#428672
#428662
#428622
#428602
#428552
#428522
#428432
#428392
#428352
#428312
#428282
#374972
#374962
#368232
#367952
#356682
#356612
#356602
#356592
#355452
#355422
#355182
#355172
#351602
#351582
#346352
#346332
#342662
#342572
C2×#23232