Finite Group Databasebeta

← #7646631

Subgroups — #7646631

Order 512.

5464 conjugacy classes of subgroups.

The subgroup lattice has 1835 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42906C212yesmaximal, complemented
2#42900C212yesmaximal, complemented
3#42894C212yesmaximal, complemented
4#42893C212yesmaximal, complemented
5#42869C212yesmaximal, complemented
6#42867C212yesmaximal, complemented
7#42852C212yesmaximal, complemented
8#42851C212yesmaximal, complemented
9#40196C212yesmaximal, complemented
10#40190C212yesmaximal, complemented
11#40129C212yesmaximal, complemented
12#40118C212yesmaximal, complemented
13#39795C212yesmaximal, complemented
14#39783C212yesmaximal, complemented
15#39244C212yesmaximal, complemented
16#39242C212yesmaximal, complemented
17#37496C214yesmaximal, complemented
18#36997C214yesmaximal, complemented
19#36795C214yesmaximal, complemented
20#35662C211yesmaximal, characteristic, complemented
21#35661C211yesmaximal, characteristic, complemented
22#35660C211yesmaximal, characteristic, complemented
23#35659C211yesmaximal, characteristic, complemented
24#35267C211yesmaximal, characteristic, complemented
25#35255C211yesmaximal, characteristic, complemented
26#35180C211yesmaximal, characteristic, complemented
27#35160C211yesmaximal, characteristic, complemented
28#35157C211yesmaximal, characteristic, complemented
29#35150C211yesmaximal, characteristic, complemented
30#35058C214yesmaximal, complemented
31#34813C211yesmaximal, characteristic, complemented
32#34743C211yesmaximal, characteristic, complemented
33#34257C211yesmaximal, characteristic, complemented
34C2×#2362C211yesmaximal, characteristic, complemented
35C4×#536C211yesmaximal, characteristic, complemented
36C22×2−1+4C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C22×C22⋊Q8C2211yescharacteristic
45C2×#519C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C22×C4×Q8C2211yescharacteristic
48C22×#117C2211yescharacteristic
49#2863C2212yescomplemented
50#2860C2212yescomplemented
51#2855C2212yescomplemented
52#2854C2214yes—
53#2854C2212yescomplemented
54#2853C2214yes—
55#2852C2214yes—
56#2850C2214yes—
57#2832C2214yes—
58#2831C2214yes—
59#2829C2214yes—
60#2828C2214yes—
61#2808C2214yes—
62#2808C2214yescomplemented
63#2805C2214yescomplemented
64#2803C2214yes—
65#2803C2214yes—
66#2803C2214yescomplemented
67#2800C2214yescomplemented
68#2797C2214yescomplemented
69#2788C2214yescomplemented
70#2787C2214yescomplemented
71#2787C2214yescomplemented
72#2786C2214yes—
73#2786C2214yescomplemented
74#2784C2214yescomplemented
75#2781C2214yes—
76#2781C2214yescomplemented
77#2779C2214yes—
78#2778C2214yes—
79#2775C2214yes—
80#2774C2214yescomplemented
81#2770C2214yescomplemented
82#2759C2214yes—
83#2759C2214yescomplemented
84#2756C2214yes—
85#2756C2214yes—
86#2751C2214yes—
87#2750C2214yescomplemented
88#2745C2214yescomplemented
89#2733C2214yes—
90#2715C2214yes—
91#2714C2214yes—
92#2686C2214yes—
93#2666C2214yescomplemented
94#2662C2214yes—
95#2662C2214yescomplemented
96#2661C2214yes—
97#2653C2214yes—
98#2653C2214yes—
99#2651C2214yescomplemented
100#2650C2214yes—
101#2650C2214yescomplemented
102#2649C2214yes—
103#2648C2214yes—
104#2648C2214yes—
105#2645C2212yescomplemented
106#2644C2212yescomplemented
107#2643C2214yes—
108#2639C2214yes—
109#2625C2212yescomplemented
110#2624C2212yescomplemented
111#2622C2214yes—
112#2617C2214yes—
113#2597C2214yes—
114#2597C2214yescomplemented
115#2595C2214yes—
116#2595C2214yescomplemented
117#2593C2214yescomplemented
118#2592C2212yescomplemented
119#2592C2212yescomplemented
120#2589C2214yescomplemented
121#2587C2214yescomplemented
122#2586C2214yescomplemented
123#2582C2212yescomplemented
124#2582C2212yescomplemented
125#2581C2212yescomplemented
126#2581C2212yescomplemented
127#2574C2214yescomplemented
128#2568C2212yescomplemented
129#2563C2212yescomplemented
130#2562C2212yescomplemented
131#2562C2212yescomplemented
132#2559C2214yes—
133#2557C2214yes—
134#2554C2214yescomplemented
135#2548C2212yescomplemented
136#2547C2212yescomplemented
137#2538C2212yes—
138#2538C2212yes—
139#2536C2212yes—
140#2536C2212yes—
141#2514C2212yescomplemented
142#2513C2212yescomplemented
143#2512C2212yescomplemented
144#2511C2212yescomplemented
145#2510C2214yes—
146#2500C2212yes—
147#2500C2212yes—
148#2499C2212yes—
149#2499C2212yes—
150#2497C2212yescomplemented
151#2497C2212yescomplemented
152#2496C2212yescomplemented
153#2496C2212yescomplemented
154#2495C2212yescomplemented
155#2495C2212yescomplemented
156#2494C2212yescomplemented
157#2494C2212yescomplemented
158#2492C2211yescharacteristic
159#2492C2211yescharacteristic
160#2491C2211yescharacteristic
161#2491C2211yescharacteristic
162#2490C2211yescharacteristic
163#2490C2211yescharacteristic
164#2489C2211yescharacteristic
165#2489C2211yescharacteristic
166#2488C2212yes—
167#2488C2212yes—
168#2485C2212yes—
169#2485C2212yes—
170#2485C2212yes—
171#2485C2212yes—
172#2481C2214yes—
173#2472C2212yes—
174#2472C2212yes—
175#2453C2212yescomplemented
176#2453C2212yescomplemented
177#2451C2212yescomplemented
178#2451C2212yescomplemented
179#2444C2214yes—
180#2443C2214yes—
181#2438C2214yes—
182#2438C2214yes—
183#2436C2212yescomplemented
184#2434C2212yescomplemented
185#2432C2212yescomplemented
186#2431C2212yescomplemented
187#2430C2214yes—
188#2430C2214yes—
189#2429C2212yes—
190#2429C2212yes—
191#2429C2211yescharacteristic
192#2429C2211yescharacteristic
193#2428C2211yescharacteristic
194#2428C2211yescharacteristic
195#2427C2211yescharacteristic
196#2427C2211yescharacteristic
197#2426C2212yes—
198#2426C2212yes—
199#2426C2211yescharacteristic
200#2426C2211yescharacteristic
201#2425C2212yes—
202#2425C2212yes—
203#2424C2212yes—
204#2424C2212yes—
205#2423C2212yescomplemented
206#2422C2212yescomplemented
207#2421C2212yescomplemented
208#2420C2212yescomplemented
209#2415C2212yes—
210#2415C2212yes—
211#2415C2212yes—
212#2415C2212yes—
213#2414C2212yes—
214#2414C2212yes—
215#2414C2212yes—
216#2414C2212yes—
217#2413C2214yes—
218#2411C2214yes—
219#2409C2212yes—
220#2409C2212yes—
221#2409C2212yes—
222#2409C2212yes—
223#2409C2212yescomplemented
224#2409C2212yescomplemented
225#2407C2212yes—
226#2407C2212yes—
227#2407C2212yes—
228#2407C2212yes—
229#2407C2212yescomplemented
230#2407C2212yescomplemented
231#2406C2214yes—
232#2404C2214yes—
233#2398C2212yes—
234#2398C2212yes—
235#2392C2212yes—
236#2392C2212yes—
237#2362C2212yes—
238#2362C2212yes—
239#2362C2212yes—
240#2362C2212yes—
241#2362C2212yes—
242#2362C2212yes—
243#2362C2212yes—
244#2362C2212yes—
245#2341C2212yescomplemented
246#2341C2212yescomplemented
247#2341C2212yescomplemented
248#2341C2212yescomplemented
249Q8×C22⋊C4C2212yescomplemented
250Q8×C22⋊C4C2212yescomplemented
251Q8×C22⋊C4C2212yescomplemented
252Q8×C22⋊C4C2212yescomplemented
253#2337C2214yescomplemented
254#2335C2214yescomplemented
255#2334C2214yescomplemented
256#2334C2214yescomplemented
257#2327C2212yescomplemented
258#2326C2212yescomplemented
259#2323C2212yescomplemented
260#2323C2212yescomplemented
261#2322C2214yes—
262#2317C2211yescharacteristic
263#2317C2211yescharacteristic
264#2317C2211yescharacteristic
265#2316C2211yescharacteristic
266#2311C2211yescharacteristic
267#2311C2211yescharacteristic
268#2311C2211yescharacteristic
269#2311C2211yescharacteristic
270#2311C2211yescharacteristic
271#2311C2211yescharacteristic
272#2311C2211yescharacteristic
273#2311C2214yes—
274#2310C2211yescharacteristic
275C4×C4⋊Q8C2212yescomplemented
276C4×#124C2212yes—
277C4×#124C2212yes—
278C4×#124C2212yescomplemented
279C4×C22⋊Q8C2212yescomplemented
280C4×C22⋊Q8C2212yescomplemented
281C4×#123C2214yes—
282C4×#121C2212yes—
283C4×#121C2212yes—
284#2297C2211yescharacteristic
285#2297C2214yes—
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288#2296C2211yescharacteristic
289C2×#391C2211yescharacteristic
290C2×#389C2211yescharacteristic
291C2×#388C2212yes—
292C2×#388C2212yes—
293C2×#387C2212yes—
294#2280C2211yescharacteristic
295C4×#117C2211yescharacteristic
296C2×C4×C4⋊C4C2211yescharacteristic
297C2×C4×C4⋊C4C2212yes—
298C2×C4×C22⋊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#537—44no—
313#536—28no—
314#533—44no—
315#532—44no—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2311yescharacteristic
320C2×#127C2311yescharacteristic
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#125C2311yescharacteristic
324C2×#125C2311yescharacteristic
325C2×#124C2312yes—
326C2×#124C2311yescharacteristic
327C2×#124C2311yescharacteristic
328C2×#124C2314yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331#525—44no—
332#525—44no—
333#525—44no—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×C22⋊Q8—28no—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2311yescharacteristic
362C2×#121C2311yescharacteristic
363C2×#121C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2311yescharacteristic
366C2×#121C2311yescharacteristic
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#120C2312yes—
370C2×#120C2312yes—
371C2×#120C2312yes—
372#519—44no—
373C4×#41—44no—
374C2×C4×Q8—44no—
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2312yes—
386C2×C4×Q8C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×#117—44no—
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2311yescharacteristic
403C2×#117C2311yescharacteristic
404C2×#117C2311yescharacteristic
405C2×#117C2314yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2312yes—
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2311yescharacteristic
413C22×C4⋊C4C2311yescharacteristic
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2312yes—
416C22×C4⋊C4C2312yes—
417C22×C22⋊C4C2312yes—
418C22×C22⋊C4C2312yes—
419C22×C22⋊C4C2311yescharacteristic
420C22×C22⋊C4C2311yescharacteristic
421C22×C42C2311yescharacteristic
422C22×C42C2311yescharacteristic
423C22×C42C2312yes—
424C22×C42C2312yes—
425C22×C42C2312yes—
426C22×C42C2312yes—
427#401C2314yes—
428#401C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2314yes—
436#400C2314yes—
437#400C2312yes—
438#400C2312yes—
439#400C2314yes—
440#400C2314yes—
441#400C2314yes—
442#400C2312yes—
443#400C2312yes—
444#399C2314yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2312yes—
452#398C2314yes—
453#398C2312yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2312yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2312yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2312yes—
475#397C2312yes—
476#397C2312yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2312yes—
481#396C2314yes—
482#396C2312yes—
483#396C2314yes—
484#396C2312yes—
485#396C2312yes—
486#396C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2312yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2312yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2312yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2312yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2312yes—
516#394C2312yes—
517#394C2312yes—
518#394C2314yes—
519#394C2312yes—
520#394C2312yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2312yes—
526#393C2314yes—
527#393C2314yes—
528#393C2312yes—
529#393C2312yes—
530#393C2312yes—
531#392C2312yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2312yes—
538#392C2314yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2312yes—
545#391C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2314yes—
549#391C2314yes—
550#391C2312yes—
551#391C2312yes—
552#391C2314yes—
553#391C2314yes—
554#391C2314yes—
555#391C2312yes—
556#391C2312yes—
557#391C2314yes—
558#391C2314yes—
559#391C2312yes—
560#391C2311yescharacteristic
561#391C2311yescharacteristic
562#391C2311yescharacteristic
563#391C2311yescharacteristic
564#391C2312yes—
565#391C2312yes—
566#391C2311yescharacteristic
567#391C2311yescharacteristic
568#391C2312yes—
569#390C2314yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2314yes—
576#390C2314yes—
577#390C2312yes—
578#390C2312yes—
579#390C2314yes—
580#390C2314yes—
581#390C2314yes—
582#390C2312yes—
583#390C2314yes—
584#390C2311yescharacteristic
585#390C2311yescharacteristic
586#390C2311yescharacteristic
587#390C2311yescharacteristic
588#390C2312yes—
589#390C2314yes—
590#390C2314yes—
591#390C2311yescharacteristic
592#390C2311yescharacteristic
593#390C2312yes—
594#390C2312yes—
595#389C2314yes—
596#389C2314yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2311yescharacteristic
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2311yescharacteristic
611#389C2314yes—
612#389C2314yes—
613#389C2312yes—
614#389C2314yes—
615#389C2314yes—
616#389C2314yes—
617#389C2314yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2312yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2314yes—
653#388C2314yes—
654#388C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
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#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2312yes—
698#386C2312yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2312yes—
706#386C2314yes—
707#386C2314yes—
708#386C2312yes—
709#386C2314yes—
710#386C2314yes—
711#386C2312yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2314yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#386C2312yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2312yes—
735#385C2314yes—
736#385C2312yes—
737#384C2312yes—
738#384C2312yes—
739#384C2312yes—
740#383C2314yes—
741#383C2314yes—
742#382C2314yes—
743#382C2312yes—
744#382C2312yes—
745#382C2312yes—
746#382C2312yes—
747#382C2312yes—
748#381C2314yes—
749#381C2312yes—
750#381C2314yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2314yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2314yes—
770#380C2312yes—
771#380C2312yes—
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775#380C2311yescharacteristic
776#379C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2314yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817#376C2312yes—
818C2×#95C2312yes—
819C2×#95C2311yescharacteristic
820C2×#95C2311yescharacteristic
821C2×#95C2312yes—
822C2×#95C2312yes—
823C2×#95C2312yes—
824C43C2312yes—
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×Q8C2412yes—
860C22×Q8C2414yes—
861C22×Q8C2412yes—
862C22×D4C2412yes—
863C22×D4C2411yescharacteristic
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2411yescharacteristic
867C22×D4C2411yescharacteristic
868C22×D4C2412yes—
869C22×D4C2414yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2414yes—
878C23×C4—24no—
879C23×C4—24no—
880C23×C4—24no—
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2411yescharacteristic
885C23×C4C2411yescharacteristic
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2411yescharacteristic
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2411yescharacteristic
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2411yescharacteristic
897C23×C4C2412yes—
898C23×C4C2414yes—
899C23×C4C2414yes—
900C23×C4C2412yes—
901C23×C4C2411yescharacteristic
902C4⋊Q8—28no—
903C4⋊Q8—42no—
904C4⋊Q8—42no—
905C4⋊Q8—42no—
906#127—42no—
907#126—48no—
908#126—48no—
909#125—42no—
910#125—42no—
911#124—28no—
912#124—44no—
913#124—48no—
914#124—42no—
915#124—42no—
916#124—44no—
917#123—216no—
918#123—48no—
919#123—44no—
920#123—44no—
921#123—44no—
922C22⋊Q8—28no—
923C22⋊Q8—28no—
924C22⋊Q8—28no—
925C22⋊Q8—28no—
926C22⋊Q8—28no—
927C22⋊Q8—28no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930C22⋊Q8—42no—
931C22⋊Q8—42no—
932C22⋊Q8—42no—
933C22⋊Q8—42no—
934C22⋊Q8—42no—
935C22⋊Q8—42no—
936C22⋊Q8—44no—
937C22⋊Q8—44no—
938#121—44no—
939#121—44no—
940#121—42no—
941#121—42no—
942#121—42no—
943#121—42no—
944#121—42no—
945#121—42no—
946#121—44no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—48no—
951#120—44no—
952#120—44no—
953#120—44no—
954C4×Q8—44no—
955C4×Q8—44no—
956C4×Q8—44no—
957C4×Q8—44no—
958C4×Q8—44no—
959C4×Q8—44no—
960C4×Q8—42no—
961C4×Q8—42no—
962C4×Q8—44no—
963C4×Q8—44no—
964C4×Q8—44no—
965C4×Q8—44no—
966C4×D4—42no—
967C4×D4—42no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978#117—24no—
979#117—24no—
980#117—24no—
981#117—24no—
982#117—24no—
983#117—44no—
984#117—48no—
985#117—44no—
986#117—44no—
987#117—44no—
988#117—44no—
989C2×C4⋊C4—24no—
990C2×C4⋊C4—28no—
991C2×C4⋊C4—24no—
992C2×C4⋊C4—24no—
993C2×C4⋊C4—44no—
994C2×C4⋊C4—44no—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C22⋊C4—28no—
1051C2×C22⋊C4—42no—
1052C2×C22⋊C4—42no—
1053C2×C22⋊C4—44no—
1054C2×C22⋊C4C2411yescharacteristic
1055C2×C22⋊C4C2411yescharacteristic
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C42—24no—
1124C2×C42—24no—
1125C2×C42—44no—
1126C2×C42—44no—
1127C2×C42—44no—
1128C2×C42—44no—
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2414yes—
1144C2×C42C2414yes—
1145C2×C42C2414yes—
1146C2×C42C2414yes—
1147C2×C42C2414yes—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2414yes—
1151C2×C42C2414yes—
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155C2×C42C2414yes—
1156#95C2411yescharacteristic
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222C24—22no—
1223C24—22no—
1224C24—22no—
1225C24—41no—
1226C24—41no—
1227C24—41no—
1228C24—41no—
1229C24C2511yescharacteristic
1230C24C2511yescharacteristic
1231C24C2512yes—
1232C24C2512yes—
1233C24C2512yes—
1234C24C2511yescharacteristic
1235#41—464no—
1236#41—432no—
1237#41—432no—
1238#41—416no—
1239#41—416no—
1240#41—416no—
1241C2×Q8—232no—
1242C2×Q8—22no—
1243C2×Q8—28no—
1244C2×Q8—22no—
1245C2×Q8—22no—
1246C2×Q8—24no—
1247C2×Q8—24no—
1248C2×Q8—24no—
1249C2×Q8—24no—
1250C2×Q8—22no—
1251C2×Q8—22no—
1252C2×Q8—22no—
1253C2×Q8—22no—
1254C2×Q8—22no—
1255C2×Q8—22no—
1256C2×Q8—24no—
1257C2×Q8—44no—
1258C2×Q8—44no—
1259C2×Q8—42no—
1260C2×Q8—42no—
1261C2×Q8—42no—
1262C2×Q8—42no—
1263C2×Q8—42no—
1264C2×Q8—432no—
1265C2×Q8—432no—
1266C2×Q8C2×#4118yes—
1267C2×Q8C2×#4118yes—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—22no—
1278C2×D4—28no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—24no—
1288C2×D4—44no—
1289C2×D4—44no—
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—42no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—24no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—24no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—24no—
1333C22×C4—28no—
1334C22×C4—28no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—24no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—24no—
1350C22×C4—24no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—24no—
1354C22×C4—42no—
1355C22×C4—42no—
1356C22×C4—42no—
1357C22×C4—41no—
1358C22×C4—41no—
1359C22×C4—42no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—44no—
1363C22×C4—44no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—42no—
1371C22×C4—41no—
1372C22×C4—42no—
1373C22×C4—41no—
1374C22×C4—42no—
1375C22×C4—416no—
1376C22×C4C2×#4118yes—
1377C22×C4C2×#4114yes—
1378C22×C4H(5,𝔽2)14yes—
1379C22×C4H(5,𝔽2)14yes—
1380C22×C4C2512yes—
1381C22×C4C2512yes—
1382C22×C4C2511yescharacteristic
1383C22×C4C2512yes—
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2514yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2514yes—
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2514yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2512yes—
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C22×C4C2512yes—
1404C22×C4C2514yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—28no—
1412C4⋊C4—28no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—28no—
1416C4⋊C4—28no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—28no—
1430C4⋊C4—24no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—44no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
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—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—28no—
1470C22⋊C4—28no—
1471C22⋊C4—28no—
1472C22⋊C4—28no—
1473C22⋊C4—22no—
1474C22⋊C4—22no—
1475C22⋊C4—22no—
1476C22⋊C4—22no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—41no—
1481C22⋊C4—41no—
1482C22⋊C4—41no—
1483C22⋊C4—41no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—44no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
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—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
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—28no—
1547C42—24no—
1548C42—44no—
1549C42—44no—
1550C42—44no—
1551C42—42no—
1552C42—42no—
1553C42—44no—
1554C42—44no—
1555C42—42no—
1556C42—42no—
1557C42—44no—
1558C42—44no—
1559C42—42no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—21no—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—21no—
1595C23—21no—
1596C23—22no—
1597C23—21no—
1598C23—21no—
1599C23—44no—
1600C23—44no—
1601C23—44no—
1602C23—82no—
1603C23—82no—
1604C23—82no—
1605C23—82no—
1606C23C22×#4112yes—
1607C23C2×H(5,𝔽2)12yes—
1608C23C2×H(5,𝔽2)12yes—
1609C23C2611yescharacteristic
1610Q8—216no—
1611Q8—216no—
1612Q8—416no—
1613Q8—44no—
1614Q8—44no—
1615Q8—44no—
1616Q8—84no—
1617Q8—84no—
1618D4—416no—
1619D4—48no—
1620D4—48no—
1621D4—48no—
1622D4—44no—
1623D4—44no—
1624D4—44no—
1625D4—84no—
1626D4—84no—
1627D4—84no—
1628D4—84no—
1629D4—84no—
1630D4—84no—
1631D4—84no—
1632D4—84no—
1633D4—164no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—24no—
1637C2×C4—24no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—216no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—24no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—24no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—24no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—24no—
1676C2×C4—24no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—24no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—24no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—24no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—24no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—416no—
1716C2×C4—416no—
1717C2×C4—48no—
1718C2×C4—48no—
1719C2×C4—44no—
1720C2×C4—44no—
1721C2×C4—44no—
1722C2×C4—44no—
1723C2×C4—44no—
1724C2×C4—48no—
1725C2×C4—48no—
1726C2×C4—48no—
1727C2×C4—84no—
1728C2×C4—82no—
1729C2×C4—84no—
1730C2×C4—82no—
1731C2×C4—84no—
1732C2×C4#538116yes—
1733C2×C4C22×#4118yes—
1734C2×C4C22×#4112yes—
1735C2×C4C22×#4112yes—
1736C2×C4C2×H(5,𝔽2)12yes—
1737C2×C4C2×H(5,𝔽2)12yes—
1738C2×C4C2×H(5,𝔽2)12yes—
1739C2×C4C2×H(5,𝔽2)12yes—
1740C2×C4#58512yes—
1741C2×C4#58512yes—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—41no—
1752C22—41no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—41no—
1757C22—41no—
1758C22—42no—
1759C22—41no—
1760C22—42no—
1761C22—42no—
1762C22—41no—
1763C22—42no—
1764C22—42no—
1765C22—41no—
1766C22—41no—
1767C22—42no—
1768C22—42no—
1769C22—41no—
1770C22—41no—
1771C22—42no—
1772C22—42no—
1773C22—42no—
1774C22—41no—
1775C22—42no—
1776C22—42no—
1777C22—41no—
1778C22—42no—
1779C22—41no—
1780C22—41no—
1781C22—42no—
1782C22—42no—
1783C22—88no—
1784C22C2×#53814yes—
1785C22C23×#4111yescharacteristic
1786C22C22×H(5,𝔽2)11yescharacteristic
1787C22C22×H(5,𝔽2)11yescharacteristic
1788C22C2×#58511yescharacteristic
1789C22C2×#58511yescharacteristic
1790C222−1+611yescharacteristic
1791C222−1+611yescharacteristic
1792C4—28no—
1793C4—22no—
1794C4—22no—
1795C4—42no—
1796C4—44no—
1797C4—42no—
1798C4—44no—
1799C4—41no—
1800C4—41no—
1801C4—42no—
1802C4—41no—
1803C4—41no—
1804C4—42no—
1805C4—42no—
1806C4—42no—
1807C4—41no—
1808C4—42no—
1809C4—42no—
1810C4—42no—
1811C4—41no—
1812C4—42no—
1813C4—44no—
1814C4—41no—
1815C4—41no—
1816C4—42no—
1817C4—42no—
1818C4—42no—
1819C4C2×#53814yes—
1820C4C2×#53814yes—
1821C2—24no—
1822C2—82no—
1823C2—82no—
1824C2—82no—
1825C2—81no—
1826C2—81no—
1827C2C22×#53811yescharacteristic
1828C2#6279311yescharacteristic
1829C2#6285011yescharacteristic
1830C2#6292511yescharacteristic
1831C2#6292711yescharacteristic
1832C2#6295411yescharacteristic
1833C2#6296011yescharacteristic
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. #42906C2semidirect
2. #42900C2semidirect
3. #42894C2semidirect
4. #42893C2semidirect
5. #42869C2semidirect
6. #42867C2semidirect
7. #42852C2semidirect
8. #42851C2semidirect
9. #40196C2semidirect
10. #40190C2semidirect
11. #40129C2semidirect
12. #40118C2semidirect
13. #39795C2semidirect
14. #39783C2semidirect
15. #39244C2semidirect
16. #39242C2semidirect
17. #37496C2semidirect
18. #36997C2semidirect
19. #36795C2semidirect
20. #35662C2semidirect
21. #35661C2semidirect
22. #35660C2semidirect
23. #35659C2semidirect
24. #35267C2semidirect
25. #35255C2semidirect
26. #35180C2semidirect
27. #35160C2semidirect
28. #35157C2semidirect
29. #35150C2semidirect
30. #35058C2semidirect
31. #34813C2semidirect
32. #34743C2semidirect
33. #34257C2semidirect
34. C2×#2362C2semidirect
35. C4×#536C2semidirect
49. #2863C22semidirect
50. #2860C22semidirect
51. #2855C22semidirect
53. #2854C22semidirect
62. #2808C22semidirect
63. #2805C22semidirect
66. #2803C22semidirect
67. #2800C22semidirect
68. #2797C22semidirect
69. #2788C22semidirect
70. #2787C22semidirect
71. #2787C22semidirect
73. #2786C22semidirect
74. #2784C22semidirect
76. #2781C22semidirect
80. #2774C22semidirect
81. #2770C22semidirect
83. #2759C22semidirect
87. #2750C22semidirect
88. #2745C22semidirect
93. #2666C22semidirect
95. #2662C22semidirect
99. #2651C22semidirect
101. #2650C22semidirect
105. #2645C22semidirect
106. #2644C22semidirect
109. #2625C22semidirect
110. #2624C22semidirect
114. #2597C22semidirect
116. #2595C22semidirect
117. #2593C22semidirect
118. #2592C22semidirect
119. #2592C22semidirect
120. #2589C22semidirect
121. #2587C22semidirect
122. #2586C22semidirect
123. #2582C22semidirect
124. #2582C22semidirect
125. #2581C22semidirect
126. #2581C22semidirect
127. #2574C22semidirect
128. #2568C22semidirect
129. #2563C22semidirect
130. #2562C22semidirect
131. #2562C22semidirect
134. #2554C22semidirect
135. #2548C22semidirect
136. #2547C22semidirect
141. #2514C22semidirect
142. #2513C22semidirect
143. #2512C22semidirect
144. #2511C22semidirect
150. #2497C22semidirect
151. #2497C22semidirect
152. #2496C22semidirect
153. #2496C22semidirect
154. #2495C22semidirect
155. #2495C22semidirect
156. #2494C22semidirect
157. #2494C22semidirect
175. #2453C22semidirect
176. #2453C22semidirect
177. #2451C22semidirect
178. #2451C22semidirect
183. #2436C22semidirect
184. #2434C22semidirect
185. #2432C22semidirect
186. #2431C22semidirect
205. #2423C22semidirect
206. #2422C22semidirect
207. #2421C22semidirect
208. #2420C22semidirect
223. #2409C22semidirect
224. #2409C22semidirect
229. #2407C22semidirect
230. #2407C22semidirect
245. #2341C22semidirect
246. #2341C22semidirect
247. #2341C22semidirect
248. #2341C22semidirect
249. Q8×C22⋊C4C22semidirect
250. Q8×C22⋊C4C22semidirect
251. Q8×C22⋊C4C22semidirect
252. Q8×C22⋊C4C22semidirect
253. #2337C22semidirect
254. #2335C22semidirect
255. #2334C22semidirect
256. #2334C22semidirect
257. #2327C22semidirect
258. #2326C22semidirect
259. #2323C22semidirect
260. #2323C22semidirect
275. C4×C4⋊Q8C22semidirect
278. C4×#124C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect

Maximal subgroups

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

subgroupindex
#429062
#429002
#428942
#428932
#428692
#428672
#428522
#428512
#401962
#401902
#401292
#401182
#397952
#397832
#392442
#392422
#374962
#369972
#367952
#356622
#356612
#356602
#356592
#352672
#352552
#351802
#351602
#351572
#351502
#350582
#348132
#347432
#342572
C2×#23622
C4×#5362