Finite Group Databasebeta

← #8425162

Subgroups — #8425162

Order 512.

5458 conjugacy classes of subgroups.

The subgroup lattice has 1852 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59637C212yesmaximal, complemented
2#59437C211yesmaximal, characteristic, complemented
3#59129C212yesmaximal, complemented
4#59066C211yesmaximal, characteristic, complemented
5#59035C211yesmaximal, characteristic, complemented
6#53607C214yesmaximal, complemented
7#53502C214yesmaximal, complemented
8#53087C212yesmaximal, complemented
9#53073C212yesmaximal, complemented
10#52985C212yesmaximal, complemented
11#52971C212yesmaximal, complemented
12#52475C214yesmaximal, complemented
13#42608C212yesmaximal, complemented
14#42575C212yesmaximal, complemented
15#42566C212yesmaximal, complemented
16#42435C212yesmaximal, complemented
17#41145C214yesmaximal, complemented
18#40045C212yesmaximal, complemented
19#39961C212yesmaximal, complemented
20#39770C211yesmaximal, characteristic, complemented
21#39725C211yesmaximal, characteristic, complemented
22#39361C211yesmaximal, characteristic, complemented
23#39256C212yesmaximal, complemented
24#39148C211yesmaximal, characteristic, complemented
25#37682C212yesmaximal, complemented
26#37628C211yesmaximal, characteristic, complemented
27#37619C211yesmaximal, characteristic, complemented
28#37501C212yesmaximal, complemented
29#37493C212yesmaximal, complemented
30#36587C211yesmaximal, characteristic, complemented
31#36258C211yesmaximal, characteristic, complemented
32#36128C211yesmaximal, characteristic, complemented
33#34937C211yesmaximal, characteristic, complemented
34#34788C211yesmaximal, characteristic, complemented
35#34720C211yesmaximal, characteristic, complemented
36C2×#550C2211yescharacteristic
37C2×#550C2212yescomplemented
38C2×#547C2212yescomplemented
39C2×#546C2212yes—
40C2×#546C2212yes—
41C2×D42C2211yescharacteristic
42C2×#535C2212yes—
43C2×#533C2211yescharacteristic, complemented
44C2×#532C2211yescharacteristic
45C2×#532C2212yes—
46C2×#532C2211yescharacteristic, complemented
47C2×C4×#41C2211yescharacteristic
48#2867C2211yescharacteristic
49#2856C2211yescharacteristic
50#2856C2211yescharacteristic, complemented
51#2854C2212yes—
52#2850C2212yescomplemented
53#2836C2214yescomplemented
54#2829C2214yescomplemented
55#2829C2214yescomplemented
56#2829C2214yescomplemented
57#2828C2214yescomplemented
58#2827C2214yescomplemented
59#2827C2214yescomplemented
60#2826C2214yescomplemented
61#2825C2214yescomplemented
62#2825C2214yescomplemented
63#2824C2214yescomplemented
64#2824C2214yescomplemented
65#2816C2214yescomplemented
66#2812C2214yescomplemented
67#2797C2214yescomplemented
68#2796C2214yescomplemented
69#2787C2214yescomplemented
70#2780C2214yescomplemented
71#2778C2214yescomplemented
72#2756C2214yescomplemented
73#2752C2214yescomplemented
74#2749C2214yescomplemented
75#2749C2214yescomplemented
76#2746C2214yescomplemented
77#2746C2214yescomplemented
78#2711C2214yescomplemented
79#2709C2214yescomplemented
80#2709C2214yescomplemented
81#2709C2214yescomplemented
82#2708C2214yescomplemented
83#2708C2214yescomplemented
84#2708C2214yescomplemented
85#2697C2214yescomplemented
86#2696C2214yescomplemented
87#2688C2214yescomplemented
88#2688C2214yescomplemented
89#2688C2214yescomplemented
90#2684C2214yescomplemented
91#2676C2214yescomplemented
92#2673C2214yescomplemented
93#2671C2214yescomplemented
94#2671C2214yescomplemented
95#2671C2214yescomplemented
96#2671C2214yescomplemented
97#2671C2214yescomplemented
98#2669C2214yes—
99#2669C2214yes—
100#2669C2214yescomplemented
101#2668C2214yes—
102#2668C2214yescomplemented
103#2668C2214yescomplemented
104#2661C2214yescomplemented
105#2658C2212yescomplemented
106#2654C2214yescomplemented
107#2653C2214yescomplemented
108#2648C2214yescomplemented
109#2648C2214yescomplemented
110#2647C2212yescomplemented
111#2644C2212yes—
112#2644C2212yescomplemented
113#2641C2212yescomplemented
114#2640C2212yescomplemented
115#2633C2214yescomplemented
116#2631C2214yescomplemented
117#2630C2214yescomplemented
118#2625C2212yescomplemented
119#2624C2212yescomplemented
120#2624C2212yescomplemented
121#2622C2214yescomplemented
122#2622C2214yescomplemented
123#2621C2212yescomplemented
124#2619C2212yes—
125#2619C2212yes—
126#2617C2214yescomplemented
127#2602C2214yescomplemented
128#2597C2214yescomplemented
129#2591C2214yescomplemented
130#2580C2212yescomplemented
131#2580C2212yescomplemented
132#2580C2212yescomplemented
133#2578C2214yescomplemented
134#2577C2214yescomplemented
135#2571C2211yescharacteristic, complemented
136#2557C2214yescomplemented
137#2548C2212yes—
138#2548C2211yescharacteristic
139#2548C2211yescharacteristic
140#2548C2212yescomplemented
141#2548C2211yescharacteristic, complemented
142#2547C2212yes—
143#2547C2211yescharacteristic
144#2546C2211yescharacteristic, complemented
145#2546C2211yescharacteristic, complemented
146#2545C2212yescomplemented
147#2544C2212yes—
148#2544C2212yescomplemented
149#2544C2212yescomplemented
150#2543C2214yescomplemented
151#2542C2211yescharacteristic
152#2541C2211yescharacteristic
153#2541C2212yescomplemented
154#2541C2212yescomplemented
155#2540C2212yescomplemented
156#2538C2211yescharacteristic
157#2537C2212yes—
158#2535C2212yescomplemented
159#2525C2212yescomplemented
160#2516C2212yescomplemented
161#2514C2212yescomplemented
162#2513C2211yescharacteristic
163#2513C2212yes—
164#2513C2212yescomplemented
165#2513C2212yescomplemented
166#2510C2212yescomplemented
167#2509C2211yescharacteristic, complemented
168#2507C2212yescomplemented
169#2504C2211yescharacteristic
170#2504C2212yescomplemented
171#2504C2212yescomplemented
172#2495C2212yescomplemented
173#2494C2212yescomplemented
174#2494C2211yescharacteristic, complemented
175#2491C2212yescomplemented
176#2490C2211yescharacteristic
177#2487C2211yescharacteristic, complemented
178#2477C2212yescomplemented
179#2475C2212yescomplemented
180#2472C2214yescomplemented
181#2464C2214yescomplemented
182#2463C2212yescomplemented
183#2460C2212yescomplemented
184#2455C2214yescomplemented
185#2452C2211yescharacteristic
186#2447C2212yescomplemented
187#2446C2212yescomplemented
188#2446C2211yescharacteristic, complemented
189#2445C2212yes—
190#2445C2212yescomplemented
191#2445C2212yescomplemented
192#2445C2212yescomplemented
193#2445C2212yescomplemented
194#2444C2214yescomplemented
195#2444C2212yescomplemented
196#2443C2214yescomplemented
197#2443C2214yescomplemented
198#2443C2214yescomplemented
199#2442C2212yescomplemented
200#2442C2211yescharacteristic, complemented
201#2439C2211yescharacteristic, complemented
202#2435C2212yes—
203#2433C2212yes—
204#2433C2212yes—
205#2433C2212yes—
206#2432C2211yescharacteristic
207#2432C2212yescomplemented
208#2432C2212yescomplemented
209#2432C2212yescomplemented
210#2432C2212yescomplemented
211#2431C2212yes—
212#2431C2212yescomplemented
213#2431C2212yescomplemented
214#2429C2212yescomplemented
215#2428C2212yes—
216#2428C2212yes—
217#2428C2212yes—
218#2428C2212yes—
219#2428C2212yescomplemented
220#2428C2212yescomplemented
221#2428C2212yescomplemented
222#2428C2212yescomplemented
223#2428C2214yescomplemented
224#2427C2212yes—
225#2427C2211yescharacteristic
226#2427C2212yescomplemented
227#2426C2212yes—
228#2424C2214yes—
229#2424C2214yescomplemented
230#2424C2214yescomplemented
231#2422C2212yes—
232#2422C2212yescomplemented
233#2421C2212yescomplemented
234#2421C2211yescharacteristic, complemented
235#2420C2212yescomplemented
236#2420C2212yescomplemented
237#2418C2214yes—
238#2418C2214yescomplemented
239#2418C2214yescomplemented
240#2416C2212yes—
241#2416C2211yescharacteristic
242#2416C2212yescomplemented
243#2416C2212yescomplemented
244#2416C2212yescomplemented
245#2415C2211yescharacteristic, complemented
246#2414C2212yes—
247#2412C2214yescomplemented
248#2411C2214yes—
249#2408C2212yes—
250#2408C2212yes—
251#2407C2212yes—
252#2407C2211yescharacteristic
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2401C2212yescomplemented
256#2398C2212yescomplemented
257#2395C2212yescomplemented
258#2392C2212yescomplemented
259#2392C2214yescomplemented
260#2367C2212yes—
261#2366C2211yescharacteristic
262#2366C2212yescomplemented
263#2366C2212yescomplemented
264#2366C2211yescharacteristic, complemented
265#2361C2212yescomplemented
266#2358C2214yescomplemented
267#2357C2212yescomplemented
268#2355C2211yescharacteristic, complemented
269D4×C4⋊C4C2211yescharacteristic
270D4×C4⋊C4C2212yescomplemented
271#2345C2212yescomplemented
272D4×C22⋊C4C2212yes—
273D4×C22⋊C4C2212yes—
274#2328C2212yes—
275#2328C2212yescomplemented
276#2324C2212yescomplemented
277#2322C2214yescomplemented
278C4×C4⋊Q8C2211yescharacteristic, complemented
279C4×#125C2211yescharacteristic, complemented
280C4×#124C2211yescharacteristic
281C4×C22⋊Q8C2212yescomplemented
282C4×C22⋊Q8C2211yescharacteristic, complemented
283C4×#121C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286C4×#121C2212yescomplemented
287C4×#121C2212yescomplemented
288C4×#121C2212yescomplemented
289C4×#121C2212yescomplemented
290#2297C2212yescomplemented
291#2295C2211yescharacteristic, complemented
292#2293C2211yescharacteristic
293C2×#390C2212yes—
294#2290C2212yescomplemented
295#2290C2212yescomplemented
296#2283C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305#550—44no—
306#550—48no—
307#547—48no—
308#546—48no—
309#546—48no—
310D42—44no—
311#535—48no—
312#533—44no—
313#532—44no—
314#532—44no—
315#532—48no—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2312yes—
321C2×#127C2312yes—
322C2×#127C2311yescharacteristic
323C2×#127C2311yescharacteristic
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2314yes—
331C2×#127C2312yes—
332C2×#125C2311yescharacteristic
333C2×#125C2312yes—
334C2×#124C2312yes—
335C2×#124C2311yescharacteristic
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2312yes—
356C2×#121C2312yes—
357C2×#121C2311yescharacteristic
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2311yescharacteristic
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2311yescharacteristic
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2314yes—
386C2×#120C2314yes—
387C2×#120C2314yes—
388C2×#120C2314yes—
389C2×#120C2314yes—
390C2×#120C2314yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C4×#41—44no—
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2311yescharacteristic
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2312yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2314yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2312yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2314yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2314yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2311yescharacteristic
428C22×C4⋊C4C2314yes—
429C22×C4⋊C4C2312yes—
430C22×C4⋊C4C2311yescharacteristic
431C22×C4⋊C4C2311yescharacteristic
432C22×C22⋊C4C2314yes—
433C22×C22⋊C4C2314yes—
434C22×C22⋊C4C2314yes—
435C22×C42C2311yescharacteristic
436C22×C42C2311yescharacteristic
437C22×C42C2312yes—
438C22×C42C2312yes—
439#401C2314yes—
440#401C2312yes—
441#400C2312yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#400C2312yes—
446#400C2314yes—
447#400C2314yes—
448#400C2312yes—
449#400C2312yes—
450#400C2312yes—
451#400C2312yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#399C2312yes—
456#399C2314yes—
457#399C2314yes—
458#399C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2312yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2312yes—
466#398C2314yes—
467#398C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2312yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2312yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2312yes—
490#397C2312yes—
491#397C2314yes—
492#397C2312yes—
493#397C2312yes—
494#397C2312yes—
495#397C2312yes—
496#397C2314yes—
497#396C2312yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2312yes—
503#396C2314yes—
504#396C2314yes—
505#396C2312yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2312yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2312yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2312yes—
544#394C2312yes—
545#394C2312yes—
546#394C2314yes—
547#394C2314yes—
548#394C2312yes—
549#394C2312yes—
550#393C2314yes—
551#393C2314yes—
552#393C2314yes—
553#393C2312yes—
554#393C2312yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2312yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#391C2312yes—
574#391C2312yes—
575#391C2311yescharacteristic
576#391C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2312yes—
580#391C2311yescharacteristic
581#391C2311yescharacteristic
582#391C2311yescharacteristic
583#390C2314yes—
584#390C2314yes—
585#390C2314yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2311yescharacteristic
594#390C2312yes—
595#390C2311yescharacteristic
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2314yes—
604#390C2314yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2314yes—
612#390C2311yescharacteristic
613#390C2311yescharacteristic
614#390C2312yes—
615#390C2312yes—
616#390C2311yescharacteristic
617#390C2311yescharacteristic
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2311yescharacteristic
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2311yescharacteristic
633#389C2312yes—
634#389C2311yescharacteristic
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2314yes—
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2311yescharacteristic
641#388C2312yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2312yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2312yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2312yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2312yes—
667#388C2314yes—
668#387C2312yes—
669#387C2312yes—
670#387C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2312yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2312yes—
720#386C2312yes—
721#386C2314yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#385C2312yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2312yes—
743#385C2312yes—
744#385C2312yes—
745#385C2312yes—
746#385C2312yes—
747#385C2312yes—
748#384C2311yescharacteristic
749#384C2312yes—
750#383C2314yes—
751#383C2312yes—
752#382C2311yescharacteristic
753#382C2312yes—
754#382C2312yes—
755#382C2311yescharacteristic
756#382C2311yescharacteristic
757#382C2312yes—
758#382C2311yescharacteristic
759#381C2312yes—
760#381C2314yes—
761#381C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2311yescharacteristic
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2314yes—
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2311yescharacteristic
778#379C2314yes—
779#379C2314yes—
780#379C2314yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818#376C2312yes—
819#376C2312yes—
820C2×#95C2312yes—
821C43C2311yescharacteristic
822C25C2414yes—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—28no—
826C2×#41—42no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C22×Q8C2411yescharacteristic
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×Q8C2412yes—
839C22×D4—28no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2411yescharacteristic
850C22×D4C2411yescharacteristic
851C22×D4C2412yes—
852C22×D4C2411yescharacteristic
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2412yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2412yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C23×C4C2411yescharacteristic
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C23×C4C2411yescharacteristic
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C23×C4C2414yes—
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2414yes—
883C23×C4C2412yes—
884C23×C4C2414yes—
885C23×C4C2414yes—
886C23×C4C2412yes—
887C23×C4C2414yes—
888C23×C4C2414yes—
889C23×C4C2412yes—
890C4⋊Q8—24no—
891C4⋊Q8—42no—
892C4⋊Q8—44no—
893C4⋊Q8—42no—
894C4⋊Q8—44no—
895#127—28no—
896#127—24no—
897#127—24no—
898#127—44no—
899#127—44no—
900#127—44no—
901#127—44no—
902#127—44no—
903#127—44no—
904#127—48no—
905#127—82no—
906#125—42no—
907#125—44no—
908#124—28no—
909#124—24no—
910#124—44no—
911#124—44no—
912#124—44no—
913#124—44no—
914#124—44no—
915#124—84no—
916#123—48no—
917#123—48no—
918#123—48no—
919#123—48no—
920#123—48no—
921#123—84no—
922C22⋊Q8—24no—
923C22⋊Q8—44no—
924C22⋊Q8—44no—
925C22⋊Q8—42no—
926C22⋊Q8—42no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930#121—24no—
931#121—28no—
932#121—48no—
933#121—44no—
934#121—48no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—48no—
940#121—48no—
941#121—48no—
942#121—48no—
943#121—44no—
944#121—44no—
945#121—44no—
946#121—44no—
947#121—42no—
948#121—42no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—82no—
958#121—84no—
959#121—82no—
960#120—48no—
961#120—48no—
962#120—48no—
963#120—48no—
964#120—48no—
965#120—48no—
966#120—84no—
967C4×Q8—24no—
968C4×Q8—24no—
969C4×Q8—44no—
970C4×Q8—42no—
971C4×Q8—44no—
972C4×D4—28no—
973C4×D4—24no—
974C4×D4—24no—
975C4×D4—24no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—42no—
979C4×D4—42no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—42no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—48no—
994C4×D4—48no—
995C4×D4—48no—
996C4×D4—84no—
997#117—44no—
998#117—44no—
999#117—44no—
1000#117—42no—
1001C2×C4⋊C4—44no—
1002C2×C4⋊C4—42no—
1003C2×C4⋊C4—42no—
1004C2×C4⋊C4—48no—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C22⋊C4—48no—
1059C2×C22⋊C4—48no—
1060C2×C22⋊C4—84no—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2411yescharacteristic
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C42—24no—
1137C2×C42—24no—
1138C2×C42—44no—
1139C2×C42—44no—
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2411yescharacteristic
1148C2×C42C2412yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2414yes—
1161C2×C42C2412yes—
1162C2×C42C2414yes—
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2411yescharacteristic
1178#95C2412yes—
1179#95C2411yescharacteristic
1180#95C2411yescharacteristic
1181#95C2411yescharacteristic
1182#95C2411yescharacteristic
1183#95C2412yes—
1184#95C2411yescharacteristic
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225C24—28no—
1226C24—44no—
1227C24—44no—
1228C24—44no—
1229C24—44no—
1230C24—44no—
1231C24—44no—
1232C24C2512yes—
1233C24C2514yes—
1234C24C2511yescharacteristic
1235C24C2514yes—
1236C24C2512yes—
1237C24C2511yescharacteristic
1238#41—416no—
1239#41—816no—
1240#41—816no—
1241#41—816no—
1242C2×Q8—22no—
1243C2×Q8—22no—
1244C2×Q8—24no—
1245C2×Q8—22no—
1246C2×Q8—22no—
1247C2×Q8—24no—
1248C2×Q8—22no—
1249C2×Q8—24no—
1250C2×Q8—22no—
1251C2×Q8—42no—
1252C2×Q8—42no—
1253C2×Q8—42no—
1254C2×D4—22no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—28no—
1259C2×D4—28no—
1260C2×D4—24no—
1261C2×D4—28no—
1262C2×D4—28no—
1263C2×D4—28no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—24no—
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—24no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—28no—
1285C2×D4—42no—
1286C2×D4—41no—
1287C2×D4—42no—
1288C2×D4—44no—
1289C2×D4—42no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—44no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—816no—
1335C2×D4—816no—
1336C2×D4H(5,𝔽2)14yes—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—24no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—22no—
1348C22×C4—24no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—24no—
1353C22×C4—22no—
1354C22×C4—24no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—28no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—42no—
1362C22×C4—42no—
1363C22×C4—44no—
1364C22×C4—42no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—44no—
1377C22×C4—42no—
1378C22×C4—44no—
1379C22×C4—42no—
1380C22×C4—41no—
1381C22×C4—41no—
1382C22×C4—42no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4H(5,𝔽2)14yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2511yescharacteristic
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2514yes—
1404C22×C4C2512yes—
1405C22×C4C2512yes—
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2512yes—
1409C22×C4C2511yescharacteristic
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2514yes—
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—22no—
1423C4⋊C4—24no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—22no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—24no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—24no—
1443C4⋊C4—24no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—41no—
1455C4⋊C4—42no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—42no—
1459C4⋊C4—44no—
1460C4⋊C4—44no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—44no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—42no—
1472C4⋊C4—42no—
1473C22⋊C4—24no—
1474C22⋊C4—28no—
1475C22⋊C4—22no—
1476C22⋊C4—24no—
1477C22⋊C4—28no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—28no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—22no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—42no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—42no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—41no—
1507C22⋊C4—41no—
1508C22⋊C4—41no—
1509C22⋊C4—41no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—42no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
1533C22⋊C4—42no—
1534C22⋊C4—44no—
1535C22⋊C4—42no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—42no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—42no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—42no—
1548C42—22no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—22no—
1553C42—22no—
1554C42—24no—
1555C42—24no—
1556C42—24no—
1557C42—22no—
1558C42—24no—
1559C42—24no—
1560C42—22no—
1561C42—24no—
1562C42—22no—
1563C42—22no—
1564C42—22no—
1565C42—42no—
1566C42—42no—
1567C42—42no—
1568C42—42no—
1569C42—44no—
1570C42—44no—
1571C42—41no—
1572C42H(5,𝔽2)14yes—
1573C23—22no—
1574C23—21no—
1575C23—22no—
1576C23—21no—
1577C23—22no—
1578C23—21no—
1579C23—22no—
1580C23—21no—
1581C23—21no—
1582C23—22no—
1583C23—21no—
1584C23—22no—
1585C23—22no—
1586C23—24no—
1587C23—21no—
1588C23—22no—
1589C23—22no—
1590C23—21no—
1591C23—24no—
1592C23—24no—
1593C23—24no—
1594C23—24no—
1595C23—21no—
1596C23—24no—
1597C23—22no—
1598C23—21no—
1599C23—21no—
1600C23—24no—
1601C23—24no—
1602C23—24no—
1603C23—24no—
1604C23—24no—
1605C23—24no—
1606C23—22no—
1607C23—22no—
1608C23—21no—
1609C23—22no—
1610C23—24no—
1611C23—24no—
1612C23—21no—
1613C23—88no—
1614C23—88no—
1615C23—88no—
1616C23—88no—
1617C23—88no—
1618C23—164no—
1619C23—164no—
1620C23C2×H(5,𝔽2)14yes—
1621C23C2×H(5,𝔽2)12yes—
1622C23C2611yescharacteristic
1623Q8—44no—
1624Q8—44no—
1625Q8—48no—
1626Q8—84no—
1627D4—28no—
1628D4—44no—
1629D4—48no—
1630D4—48no—
1631D4—48no—
1632D4—48no—
1633D4—48no—
1634D4—44no—
1635D4—88no—
1636D4—84no—
1637D4—84no—
1638D4—84no—
1639D4—88no—
1640D4—88no—
1641D4—84no—
1642D4—88no—
1643D4—88no—
1644D4—88no—
1645D4—84no—
1646D4—88no—
1647D4—88no—
1648D4—88no—
1649D4—164no—
1650D4—164no—
1651D4—164no—
1652D4—164no—
1653D4—164no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—28no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—24no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—24no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—24no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—24no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—21no—
1725C2×C4—24no—
1726C2×C4—21no—
1727C2×C4—22no—
1728C2×C4—22no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—48no—
1734C2×C4—48no—
1735C2×C4—44no—
1736C2×C4—44no—
1737C2×C4—44no—
1738C2×C4—48no—
1739C2×C4—82no—
1740C2×C4—82no—
1741C2×C4—88no—
1742C2×C4—88no—
1743C2×C4—84no—
1744C2×C4—84no—
1745C2×C4—84no—
1746C2×C4—88no—
1747C2×C4—88no—
1748C2×C4—164no—
1749C2×C4—164no—
1750C2×C4C2×H(5,𝔽2)12yes—
1751C2×C4C2×H(5,𝔽2)12yes—
1752C2×C4C2×H(5,𝔽2)12yes—
1753C2×C4C2×H(5,𝔽2)12yes—
1754C2×C4C2×H(5,𝔽2)12yes—
1755C2×C4C2×H(5,𝔽2)12yes—
1756C2×C4#58512yes—
1757C2×C4#58512yes—
1758C2×C4#58512yes—
1759C22—22no—
1760C22—24no—
1761C22—22no—
1762C22—24no—
1763C22—24no—
1764C22—22no—
1765C22—41no—
1766C22—42no—
1767C22—42no—
1768C22—41no—
1769C22—41no—
1770C22—41no—
1771C22—42no—
1772C22—42no—
1773C22—41no—
1774C22—42no—
1775C22—44no—
1776C22—44no—
1777C22—41no—
1778C22—42no—
1779C22—44no—
1780C22—44no—
1781C22—44no—
1782C22—41no—
1783C22—44no—
1784C22—42no—
1785C22—41no—
1786C22—44no—
1787C22—42no—
1788C22—44no—
1789C22—44no—
1790C22—41no—
1791C22—44no—
1792C22—42no—
1793C22—41no—
1794C22—44no—
1795C22—44no—
1796C22—42no—
1797C22—44no—
1798C22—41no—
1799C22—44no—
1800C22—42no—
1801C22—1616no—
1802C22C22×H(5,𝔽2)11yescharacteristic
1803C22C22×H(5,𝔽2)11yescharacteristic
1804C22C22×H(5,𝔽2)11yescharacteristic
1805C22C2×#58511yescharacteristic
1806C22C2×#58511yescharacteristic
1807C22C2×#58511yescharacteristic
1808C22H(7,𝔽2)11yescharacteristic
1809C4—22no—
1810C4—22no—
1811C4—22no—
1812C4—41no—
1813C4—42no—
1814C4—42no—
1815C4—42no—
1816C4—44no—
1817C4—41no—
1818C4—41no—
1819C4—42no—
1820C4—42no—
1821C4—42no—
1822C4—42no—
1823C4—42no—
1824C4—41no—
1825C4—42no—
1826C4—42no—
1827C4—42no—
1828C4—41no—
1829C4—41no—
1830C4—42no—
1831C4—41no—
1832C4—42no—
1833C4—42no—
1834C4—44no—
1835C4—41no—
1836C4#353714yes—
1837C4#356214yes—
1838C2—42no—
1839C2—44no—
1840C2—81no—
1841C2—84no—
1842C2—84no—
1843C2—82no—
1844C2C2×#353711yescharacteristic
1845C2C2×#356211yescharacteristic
1846C2#6274811yescharacteristic
1847C2#6292011yescharacteristic
1848C2#6295511yescharacteristic
1849C2#6296111yescharacteristic
1850C2#6302111yescharacteristic
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. #59637C2semidirect
2. #59437C2semidirect
3. #59129C2semidirect
4. #59066C2semidirect
5. #59035C2semidirect
6. #53607C2semidirect
7. #53502C2semidirect
8. #53087C2semidirect
9. #53073C2semidirect
10. #52985C2semidirect
11. #52971C2semidirect
12. #52475C2semidirect
13. #42608C2semidirect
14. #42575C2semidirect
15. #42566C2semidirect
16. #42435C2semidirect
17. #41145C2semidirect
18. #40045C2semidirect
19. #39961C2semidirect
20. #39770C2semidirect
21. #39725C2semidirect
22. #39361C2semidirect
23. #39256C2semidirect
24. #39148C2semidirect
25. #37682C2semidirect
26. #37628C2semidirect
27. #37619C2semidirect
28. #37501C2semidirect
29. #37493C2semidirect
30. #36587C2semidirect
31. #36258C2semidirect
32. #36128C2semidirect
33. #34937C2semidirect
34. #34788C2semidirect
35. #34720C2semidirect
37. C2×#550C22semidirect
38. C2×#547C22semidirect
43. C2×#533C22semidirect
46. C2×#532C22semidirect
50. #2856C22semidirect
52. #2850C22semidirect
53. #2836C22semidirect
54. #2829C22semidirect
55. #2829C22semidirect
56. #2829C22semidirect
57. #2828C22semidirect
58. #2827C22semidirect
59. #2827C22semidirect
60. #2826C22semidirect
61. #2825C22semidirect
62. #2825C22semidirect
63. #2824C22semidirect
64. #2824C22semidirect
65. #2816C22semidirect
66. #2812C22semidirect
67. #2797C22semidirect
68. #2796C22semidirect
69. #2787C22semidirect
70. #2780C22semidirect
71. #2778C22semidirect
72. #2756C22semidirect
73. #2752C22semidirect
74. #2749C22semidirect
75. #2749C22semidirect
76. #2746C22semidirect
77. #2746C22semidirect
78. #2711C22semidirect
79. #2709C22semidirect
80. #2709C22semidirect
81. #2709C22semidirect
82. #2708C22semidirect
83. #2708C22semidirect
84. #2708C22semidirect
85. #2697C22semidirect
86. #2696C22semidirect
87. #2688C22semidirect
88. #2688C22semidirect
89. #2688C22semidirect
90. #2684C22semidirect
91. #2676C22semidirect
92. #2673C22semidirect
93. #2671C22semidirect
94. #2671C22semidirect
95. #2671C22semidirect
96. #2671C22semidirect
97. #2671C22semidirect
100. #2669C22semidirect
102. #2668C22semidirect
103. #2668C22semidirect
104. #2661C22semidirect
105. #2658C22semidirect
106. #2654C22semidirect
107. #2653C22semidirect
108. #2648C22semidirect
109. #2648C22semidirect
110. #2647C22semidirect
112. #2644C22semidirect
113. #2641C22semidirect
114. #2640C22semidirect
115. #2633C22semidirect
116. #2631C22semidirect
117. #2630C22semidirect
118. #2625C22semidirect
119. #2624C22semidirect
120. #2624C22semidirect
121. #2622C22semidirect
122. #2622C22semidirect
123. #2621C22semidirect
126. #2617C22semidirect
127. #2602C22semidirect
128. #2597C22semidirect
129. #2591C22semidirect
130. #2580C22semidirect
131. #2580C22semidirect
132. #2580C22semidirect
133. #2578C22semidirect
134. #2577C22semidirect
135. #2571C22semidirect
136. #2557C22semidirect
140. #2548C22semidirect
141. #2548C22semidirect
144. #2546C22semidirect
145. #2546C22semidirect
146. #2545C22semidirect
148. #2544C22semidirect
149. #2544C22semidirect
150. #2543C22semidirect
153. #2541C22semidirect
154. #2541C22semidirect
155. #2540C22semidirect
158. #2535C22semidirect
159. #2525C22semidirect
160. #2516C22semidirect
161. #2514C22semidirect
164. #2513C22semidirect
165. #2513C22semidirect
166. #2510C22semidirect
167. #2509C22semidirect
168. #2507C22semidirect
170. #2504C22semidirect
171. #2504C22semidirect
172. #2495C22semidirect
173. #2494C22semidirect
174. #2494C22semidirect
175. #2491C22semidirect
177. #2487C22semidirect
178. #2477C22semidirect
179. #2475C22semidirect
180. #2472C22semidirect
181. #2464C22semidirect
182. #2463C22semidirect
183. #2460C22semidirect
184. #2455C22semidirect
186. #2447C22semidirect
187. #2446C22semidirect
188. #2446C22semidirect
190. #2445C22semidirect
191. #2445C22semidirect
192. #2445C22semidirect
193. #2445C22semidirect
194. #2444C22semidirect
195. #2444C22semidirect
196. #2443C22semidirect
197. #2443C22semidirect
198. #2443C22semidirect
199. #2442C22semidirect
200. #2442C22semidirect
201. #2439C22semidirect
207. #2432C22semidirect
208. #2432C22semidirect
209. #2432C22semidirect
210. #2432C22semidirect
212. #2431C22semidirect
213. #2431C22semidirect
214. #2429C22semidirect
219. #2428C22semidirect
220. #2428C22semidirect
221. #2428C22semidirect
222. #2428C22semidirect
223. #2428C22semidirect
226. #2427C22semidirect
229. #2424C22semidirect
230. #2424C22semidirect
232. #2422C22semidirect
233. #2421C22semidirect
234. #2421C22semidirect
235. #2420C22semidirect
236. #2420C22semidirect
238. #2418C22semidirect
239. #2418C22semidirect
242. #2416C22semidirect
243. #2416C22semidirect
244. #2416C22semidirect
245. #2415C22semidirect
247. #2412C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2401C22semidirect
256. #2398C22semidirect
257. #2395C22semidirect
258. #2392C22semidirect
259. #2392C22semidirect
262. #2366C22semidirect
263. #2366C22semidirect
264. #2366C22semidirect
265. #2361C22semidirect
266. #2358C22semidirect
267. #2357C22semidirect
268. #2355C22semidirect
270. D4×C4⋊C4C22semidirect
271. #2345C22semidirect
275. #2328C22semidirect
276. #2324C22semidirect
277. #2322C22semidirect
278. C4×C4⋊Q8C22semidirect
279. C4×#125C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
286. C4×#121C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. #2297C22semidirect
291. #2295C22semidirect
294. #2290C22semidirect
295. #2290C22semidirect
296. #2283C22semidirect
297. C42×D4C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#596372
#594372
#591292
#590662
#590352
#536072
#535022
#530872
#530732
#529852
#529712
#524752
#426082
#425752
#425662
#424352
#411452
#400452
#399612
#397702
#397252
#393612
#392562
#391482
#376822
#376282
#376192
#375012
#374932
#365872
#362582
#361282
#349372
#347882
#347202