Finite Group Databasebeta

← #8175754

Subgroups — #8175754

Order 512.

5505 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59863C211yesmaximal, characteristic, complemented
2#59815C211yesmaximal, characteristic, complemented
3#59412C211yesmaximal, characteristic, complemented
4#59411C211yesmaximal, characteristic, complemented
5#56719C214yesmaximal, complemented
6#56446C214yesmaximal, complemented
7#56294C214yesmaximal, complemented
8#55155C214yesmaximal, complemented
9#53128C212yesmaximal, complemented
10#53105C212yesmaximal, complemented
11#53088C212yesmaximal, complemented
12#52971C212yesmaximal, complemented
13#45031C212yesmaximal, complemented
14#44876C212yesmaximal, complemented
15#42732C212yesmaximal, complemented
16#42578C212yesmaximal, complemented
17#42483C212yesmaximal, complemented
18#42438C212yesmaximal, complemented
19#42435C212yesmaximal, complemented
20#42424C212yesmaximal, complemented
21#39745C211yesmaximal, characteristic, complemented
22#39361C211yesmaximal, characteristic, complemented
23#39262C212yesmaximal, complemented
24#39193C211yesmaximal, characteristic, complemented
25#39138C211yesmaximal, characteristic, complemented
26#38977C211yesmaximal, characteristic, complemented
27#38909C211yesmaximal, characteristic, complemented
28#38082C212yesmaximal, complemented
29#37493C212yesmaximal, complemented
30#37361C212yesmaximal, complemented
31#36493C211yesmaximal, characteristic, complemented
32#36258C211yesmaximal, characteristic, complemented
33#35278C211yesmaximal, characteristic, complemented
34#34910C211yesmaximal, characteristic, complemented
35#34619C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic, complemented
37C2×#550C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#550C2212yes—
40C2×#547C2212yescomplemented
41C2×#546C2212yes—
42C2×#546C2212yes—
43C2×D42C2211yescharacteristic
44C2×#540C2212yescomplemented
45C2×#535C2212yes—
46C2×#529C2211yescharacteristic, complemented
47C2×C4×#41C2211yescharacteristic
48#2867C2211yescharacteristic
49#2859C2211yescharacteristic, complemented
50#2856C2211yescharacteristic
51#2856C2211yescharacteristic, complemented
52#2854C2212yes—
53#2850C2212yescomplemented
54#2829C2214yescomplemented
55#2829C2214yescomplemented
56#2828C2214yescomplemented
57#2828C2214yescomplemented
58#2827C2214yescomplemented
59#2826C2214yescomplemented
60#2825C2214yescomplemented
61#2825C2214yescomplemented
62#2815C2214yescomplemented
63#2814C2214yescomplemented
64#2813C2214yescomplemented
65#2812C2214yescomplemented
66#2808C2214yescomplemented
67#2781C2214yescomplemented
68#2779C2214yescomplemented
69#2778C2214yescomplemented
70#2778C2214yescomplemented
71#2778C2214yescomplemented
72#2765C2214yescomplemented
73#2757C2214yescomplemented
74#2753C2214yescomplemented
75#2750C2214yescomplemented
76#2749C2214yescomplemented
77#2749C2214yescomplemented
78#2741C2214yescomplemented
79#2739C2214yescomplemented
80#2714C2214yescomplemented
81#2708C2214yescomplemented
82#2708C2214yescomplemented
83#2706C2214yescomplemented
84#2703C2214yescomplemented
85#2703C2214yescomplemented
86#2703C2214yescomplemented
87#2703C2214yescomplemented
88#2703C2214yescomplemented
89#2701C2214yescomplemented
90#2699C2214yescomplemented
91#2697C2214yescomplemented
92#2696C2214yescomplemented
93#2696C2214yescomplemented
94#2693C2214yescomplemented
95#2693C2214yescomplemented
96#2691C2214yescomplemented
97#2688C2214yescomplemented
98#2688C2214yescomplemented
99#2682C2214yescomplemented
100#2678C2214yes—
101#2678C2214yescomplemented
102#2673C2214yescomplemented
103#2673C2214yescomplemented
104#2673C2214yescomplemented
105#2673C2214yescomplemented
106#2671C2214yescomplemented
107#2671C2214yescomplemented
108#2671C2214yescomplemented
109#2669C2214yes—
110#2669C2214yes—
111#2669C2214yescomplemented
112#2669C2214yescomplemented
113#2668C2214yescomplemented
114#2661C2214yescomplemented
115#2657C2212yescomplemented
116#2654C2212yescomplemented
117#2653C2212yescomplemented
118#2650C2212yescomplemented
119#2649C2212yescomplemented
120#2648C2214yescomplemented
121#2647C2211yescharacteristic, complemented
122#2645C2211yescharacteristic, complemented
123#2645C2212yescomplemented
124#2644C2211yescharacteristic
125#2641C2212yescomplemented
126#2640C2211yescharacteristic
127#2639C2214yescomplemented
128#2628C2211yescharacteristic, complemented
129#2625C2212yescomplemented
130#2625C2211yescharacteristic, complemented
131#2624C2211yescharacteristic
132#2624C2212yescomplemented
133#2622C2214yescomplemented
134#2620C2211yescharacteristic
135#2619C2212yes—
136#2619C2212yes—
137#2619C2214yescomplemented
138#2619C2212yescomplemented
139#2617C2214yescomplemented
140#2617C2214yescomplemented
141#2615C2214yescomplemented
142#2602C2212yescomplemented
143#2602C2212yescomplemented
144#2601C2212yescomplemented
145#2601C2212yescomplemented
146#2598C2214yescomplemented
147#2592C2212yescomplemented
148#2592C2212yescomplemented
149#2582C2211yescharacteristic, complemented
150#2566C2211yescharacteristic
151#2565C2211yescharacteristic, complemented
152#2563C2212yescomplemented
153#2548C2211yescharacteristic
154#2548C2211yescharacteristic
155#2547C2212yescomplemented
156#2545C2211yescharacteristic, complemented
157#2544C2212yes—
158#2544C2211yescharacteristic
159#2544C2212yescomplemented
160#2544C2212yescomplemented
161#2543C2214yescomplemented
162#2541C2211yescharacteristic
163#2541C2212yes—
164#2541C2212yescomplemented
165#2541C2211yescharacteristic, complemented
166#2541C2212yescomplemented
167#2540C2212yescomplemented
168#2538C2211yescharacteristic
169#2538C2211yescharacteristic
170#2538C2212yescomplemented
171#2537C2211yescharacteristic
172#2537C2212yescomplemented
173#2535C2212yes—
174#2535C2212yescomplemented
175#2535C2212yescomplemented
176#2513C2212yescomplemented
177#2513C2212yescomplemented
178#2510C2214yescomplemented
179#2508C2212yescomplemented
180#2504C2212yes—
181#2503C2212yescomplemented
182#2500C2211yescharacteristic, complemented
183#2499C2211yescharacteristic, complemented
184#2495C2212yescomplemented
185#2495C2212yescomplemented
186#2494C2212yescomplemented
187#2490C2212yes—
188#2490C2212yescomplemented
189#2489C2212yescomplemented
190#2485C2214yescomplemented
191#2476C2214yescomplemented
192#2471C2214yescomplemented
193#2456C2214yescomplemented
194#2454C2212yescomplemented
195#2448C2212yescomplemented
196#2447C2212yes—
197#2447C2212yescomplemented
198#2445C2212yes—
199#2445C2212yes—
200#2445C2212yescomplemented
201#2445C2212yescomplemented
202#2445C2212yescomplemented
203#2445C2212yescomplemented
204#2445C2212yescomplemented
205#2442C2212yescomplemented
206#2442C2212yescomplemented
207#2433C2212yes—
208#2433C2212yes—
209#2433C2212yes—
210#2433C2212yes—
211#2432C2211yescharacteristic
212#2432C2212yescomplemented
213#2431C2211yescharacteristic
214#2431C2212yes—
215#2431C2212yes—
216#2431C2212yescomplemented
217#2431C2212yescomplemented
218#2431C2212yescomplemented
219#2430C2214yescomplemented
220#2428C2212yes—
221#2428C2212yes—
222#2428C2212yes—
223#2428C2212yescomplemented
224#2428C2212yescomplemented
225#2428C2212yescomplemented
226#2428C2212yescomplemented
227#2428C2212yescomplemented
228#2428C2212yescomplemented
229#2428C2212yescomplemented
230#2427C2212yescomplemented
231#2427C2212yescomplemented
232#2427C2212yescomplemented
233#2426C2212yes—
234#2425C2214yescomplemented
235#2424C2214yes—
236#2424C2214yes—
237#2424C2214yescomplemented
238#2422C2212yes—
239#2422C2212yescomplemented
240#2418C2214yescomplemented
241#2416C2212yes—
242#2416C2212yescomplemented
243#2416C2212yescomplemented
244#2416C2212yescomplemented
245#2414C2212yes—
246#2412C2214yescomplemented
247#2412C2214yescomplemented
248#2411C2214yes—
249#2411C2214yescomplemented
250#2408C2212yes—
251#2408C2212yes—
252#2407C2212yes—
253#2407C2214yescomplemented
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2404C2214yescomplemented
257#2404C2214yescomplemented
258#2401C2212yescomplemented
259#2398C2212yescomplemented
260#2396C2212yescomplemented
261#2395C2212yescomplemented
262#2392C2212yescomplemented
263#2392C2212yescomplemented
264#2366C2212yes—
265#2363C2212yescomplemented
266#2355C2211yescharacteristic, complemented
267#2355C2211yescharacteristic, complemented
268#2354C2212yescomplemented
269#2354C2212yescomplemented
270#2349C2212yescomplemented
271D4×C4⋊C4C2211yescharacteristic
272D4×C4⋊C4C2211yescharacteristic, complemented
273#2339C2212yescomplemented
274D4×C22⋊C4C2212yes—
275D4×C22⋊C4C2212yes—
276#2328C2212yescomplemented
277#2328C2212yescomplemented
278#2324C2212yescomplemented
279#2324C2212yescomplemented
280#2319C2212yes—
281#2311C2212yescomplemented
282C4×C4⋊Q8C2211yescharacteristic, complemented
283C4×C4⋊Q8C2211yescharacteristic, complemented
284C4×#127C2211yescharacteristic
285C4×#127C2211yescharacteristic
286C4×#127C2211yescharacteristic, complemented
287C4×#124C2211yescharacteristic
288C4×#124C2211yescharacteristic
289C4×#124C2211yescharacteristic, complemented
290C4×C22⋊Q8C2211yescharacteristic, complemented
291C4×#121C2211yescharacteristic
292C4×#121C2212yescomplemented
293#2295C2211yescharacteristic, complemented
294#2293C2211yescharacteristic
295C2×#390C2212yes—
296#2290C2212yescomplemented
297#2290C2212yescomplemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2314yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305#559—44no—
306#550—44no—
307#550—44no—
308#550—48no—
309#547—48no—
310#546—48no—
311#546—48no—
312D42—44no—
313#540—48no—
314#535—48no—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×#127C2311yescharacteristic
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2314yes—
331#529—44no—
332C2×#126C2312yes—
333C2×#125C2311yescharacteristic
334C2×#125C2312yes—
335C2×#124C2311yescharacteristic
336C2×#124C2311yescharacteristic
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2311yescharacteristic
341C2×#124C2312yes—
342C2×#124C2311yescharacteristic
343C2×#123C2314yes—
344C2×#123C2312yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2311yescharacteristic
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2311yescharacteristic
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#120C2314yes—
390C2×#120C2314yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396C2×#120C2314yes—
397C4×#41—44no—
398C2×C4×Q8C2311yescharacteristic
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2311yescharacteristic
403C2×C4×D4C2312yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2314yes—
426C2×#117C2311yescharacteristic
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2311yescharacteristic
431C2×#117C2311yescharacteristic
432C2×#117C2314yes—
433C22×C4⋊C4C2312yes—
434C22×C4⋊C4C2312yes—
435C22×C22⋊C4C2314yes—
436C22×C22⋊C4C2314yes—
437C22×C22⋊C4C2314yes—
438C22×C42C2311yescharacteristic
439C22×C42C2312yes—
440#401C2314yes—
441#401C2312yes—
442#400C2312yes—
443#400C2314yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2312yes—
448#400C2312yes—
449#400C2314yes—
450#400C2312yes—
451#400C2312yes—
452#400C2312yes—
453#400C2314yes—
454#400C2312yes—
455#399C2314yes—
456#399C2312yes—
457#399C2314yes—
458#399C2312yes—
459#398C2312yes—
460#398C2312yes—
461#398C2312yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2312yes—
466#398C2312yes—
467#397C2312yes—
468#397C2312yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2312yes—
479#397C2312yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2312yes—
484#397C2312yes—
485#397C2314yes—
486#397C2312yes—
487#397C2314yes—
488#397C2312yes—
489#397C2314yes—
490#397C2312yes—
491#397C2312yes—
492#397C2314yes—
493#396C2312yes—
494#396C2312yes—
495#396C2312yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2312yes—
500#396C2314yes—
501#396C2312yes—
502#396C2312yes—
503#396C2312yes—
504#396C2314yes—
505#396C2314yes—
506#395C2312yes—
507#394C2312yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2312yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2312yes—
530#394C2312yes—
531#394C2312yes—
532#394C2312yes—
533#394C2312yes—
534#394C2312yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2312yes—
543#394C2314yes—
544#394C2312yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#393C2314yes—
550#393C2314yes—
551#393C2312yes—
552#393C2312yes—
553#393C2312yes—
554#392C2314yes—
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#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2312yes—
573#392C2312yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#391C2311yescharacteristic
585#391C2311yescharacteristic
586#391C2312yes—
587#391C2311yescharacteristic
588#391C2311yescharacteristic
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2311yescharacteristic
594#391C2311yescharacteristic
595#391C2311yescharacteristic
596#391C2311yescharacteristic
597#390C2311yescharacteristic
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2311yescharacteristic
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2311yescharacteristic
610#390C2312yes—
611#390C2314yes—
612#390C2314yes—
613#390C2314yes—
614#390C2312yes—
615#390C2311yescharacteristic
616#390C2312yes—
617#390C2314yes—
618#390C2314yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2311yescharacteristic
630#390C2311yescharacteristic
631#390C2314yes—
632#390C2311yescharacteristic
633#390C2311yescharacteristic
634#390C2314yes—
635#390C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2311yescharacteristic
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2311yescharacteristic
653#389C2311yescharacteristic
654#389C2311yescharacteristic
655#389C2311yescharacteristic
656#389C2311yescharacteristic
657#388C2312yes—
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#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2314yes—
680#388C2314yes—
681#388C2312yes—
682#388C2312yes—
683#388C2312yes—
684#388C2312yes—
685#388C2312yes—
686#387C2312yes—
687#387C2312yes—
688#387C2314yes—
689#387C2312yes—
690#387C2312yes—
691#387C2314yes—
692#387C2314yes—
693#387C2312yes—
694#387C2312yes—
695#387C2312yes—
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#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2312yes—
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2312yes—
735#386C2314yes—
736#386C2314yes—
737#385C2312yes—
738#385C2312yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2312yes—
746#385C2312yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2312yes—
752#384C2311yescharacteristic
753#384C2311yescharacteristic
754#384C2311yescharacteristic
755#384C2311yescharacteristic
756#384C2311yescharacteristic
757#383C2314yes—
758#382C2312yes—
759#382C2312yes—
760#382C2311yescharacteristic
761#382C2311yescharacteristic
762#382C2312yes—
763#382C2311yescharacteristic
764#382C2314yes—
765#381C2314yes—
766#381C2314yes—
767#381C2314yes—
768#380C2314yes—
769#380C2314yes—
770#380C2314yes—
771#380C2314yes—
772#380C2314yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2314yes—
779#380C2314yes—
780#380C2314yes—
781#380C2311yescharacteristic
782#380C2311yescharacteristic
783#380C2314yes—
784#380C2312yes—
785#379C2314yes—
786#379C2314yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2311yescharacteristic
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816#376C2312yes—
817#376C2311yescharacteristic
818#376C2311yescharacteristic
819C2×#95C2314yes—
820C43C2311yescharacteristic
821C43C2311yescharacteristic
822C25C2414yes—
823C2×#41—24no—
824C2×#41—48no—
825C2×#41—42no—
826C2×#41—42no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—48no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—84no—
835C22×Q8C2411yescharacteristic
836C22×Q8C2411yescharacteristic
837C22×Q8C2411yescharacteristic
838C22×Q8C2412yes—
839C22×D4—28no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4C2412yes—
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2411yescharacteristic
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2414yes—
882C23×C4C2412yes—
883C23×C4C2414yes—
884C23×C4C2414yes—
885C23×C4C2411yescharacteristic
886C23×C4C2412yes—
887C23×C4C2414yes—
888C23×C4C2414yes—
889C23×C4C2414yes—
890C23×C4C2414yes—
891C4⋊Q8—24no—
892C4⋊Q8—42no—
893#127—28no—
894#127—24no—
895#127—24no—
896#127—24no—
897#127—44no—
898#127—44no—
899#127—44no—
900#127—44no—
901#127—44no—
902#127—44no—
903#127—44no—
904#127—84no—
905#127—82no—
906#127—82no—
907#126—44no—
908#125—42no—
909#125—44no—
910#124—24no—
911#124—24no—
912#124—42no—
913#124—42no—
914#124—44no—
915#124—44no—
916#124—44no—
917#124—44no—
918#123—48no—
919#123—48no—
920#123—48no—
921#123—44no—
922#123—48no—
923#123—48no—
924#123—48no—
925#123—48no—
926#123—84no—
927C22⋊Q8—42no—
928C22⋊Q8—42no—
929C22⋊Q8—44no—
930C22⋊Q8—44no—
931C22⋊Q8—48no—
932#121—48no—
933#121—48no—
934#121—48no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—48no—
940#121—48no—
941#121—44no—
942#121—44no—
943#121—42no—
944#121—44no—
945#121—44no—
946#121—42no—
947#121—44no—
948#121—44no—
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—48no—
958#121—48no—
959#121—82no—
960#121—84no—
961#121—84no—
962#121—82no—
963#121—84no—
964#120—48no—
965#120—48no—
966#120—48no—
967#120—48no—
968#120—48no—
969#120—84no—
970#120—84no—
971#120—84no—
972C4×Q8—24no—
973C4×Q8—24no—
974C4×Q8—24no—
975C4×Q8—44no—
976C4×Q8—42no—
977C4×D4—28no—
978C4×D4—24no—
979C4×D4—24no—
980C4×D4—28no—
981C4×D4—28no—
982C4×D4—24no—
983C4×D4—28no—
984C4×D4—44no—
985C4×D4—42no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—84no—
998C4×D4—82no—
999C4×D4—82no—
1000#117—24no—
1001#117—42no—
1002#117—44no—
1003#117—44no—
1004#117—44no—
1005#117—42no—
1006#117—84no—
1007C2×C4⋊C4—44no—
1008C2×C4⋊C4—44no—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C22⋊C4—48no—
1062C2×C22⋊C4—48no—
1063C2×C22⋊C4—84no—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2411yescharacteristic
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C42—24no—
1142C2×C42—44no—
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2411yescharacteristic
1148C2×C42C2412yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2412yes—
1159C2×C42C2414yes—
1160C2×C42C2414yes—
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2412yes—
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168#95C2412yes—
1169#95C2412yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2411yescharacteristic
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2411yescharacteristic
1176#95C2411yescharacteristic
1177#95C2411yescharacteristic
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
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#95C2412yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226C24—28no—
1227C24—44no—
1228C24—44no—
1229C24—44no—
1230C24—44no—
1231C24—44no—
1232C24—44no—
1233C24C2512yes—
1234C24C2514yes—
1235C24C2511yescharacteristic
1236C24C2512yes—
1237C24C2514yes—
1238C24C2512yes—
1239#41—416no—
1240#41—816no—
1241#41—816no—
1242#41—832no—
1243C2×Q8—22no—
1244C2×Q8—22no—
1245C2×Q8—22no—
1246C2×Q8—22no—
1247C2×Q8—22no—
1248C2×Q8—24no—
1249C2×Q8—22no—
1250C2×Q8—22no—
1251C2×Q8—22no—
1252C2×Q8—22no—
1253C2×Q8—42no—
1254C2×Q8—42no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—28no—
1258C2×D4—28no—
1259C2×D4—24no—
1260C2×D4—28no—
1261C2×D4—22no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—22no—
1265C2×D4—24no—
1266C2×D4—22no—
1267C2×D4—24no—
1268C2×D4—22no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—22no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—22no—
1278C2×D4—24no—
1279C2×D4—22no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—22no—
1283C2×D4—24no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—44no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—42no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—44no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
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—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—816no—
1348C2×D4—816no—
1349C2×D4H(5,𝔽2)14yes—
1350C22×C4—24no—
1351C22×C4—28no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—22no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—24no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—24no—
1364C22×C4—24no—
1365C22×C4—22no—
1366C22×C4—24no—
1367C22×C4—22no—
1368C22×C4—28no—
1369C22×C4—28no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—44no—
1374C22×C4—42no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—42no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—41no—
1388C22×C4—41no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4—44no—
1392C22×C4—44no—
1393C22×C4—44no—
1394C22×C4—44no—
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2514yes—
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2512yes—
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2512yes—
1409C22×C4C2511yescharacteristic
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2512yes—
1413C22×C4C2511yescharacteristic
1414C22×C4C2512yes—
1415C22×C4C2512yes—
1416C22×C4C2512yes—
1417C22×C4C2514yes—
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2511yescharacteristic
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C4⋊C4—24no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—24no—
1432C4⋊C4—22no—
1433C4⋊C4—24no—
1434C4⋊C4—22no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—41no—
1448C4⋊C4—41no—
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—42no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—44no—
1472C4⋊C4—42no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C22⋊C4—28no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—22no—
1482C22⋊C4—22no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—28no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—28no—
1489C22⋊C4—24no—
1490C22⋊C4—42no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—41no—
1501C22⋊C4—41no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—44no—
1518C22⋊C4—42no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—42no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—42no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—42no—
1548C22⋊C4—42no—
1549C22⋊C4—44no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C42—22no—
1554C42—22no—
1555C42—22no—
1556C42—24no—
1557C42—22no—
1558C42—22no—
1559C42—24no—
1560C42—24no—
1561C42—24no—
1562C42—24no—
1563C42—22no—
1564C42—22no—
1565C42—22no—
1566C42—22no—
1567C42—22no—
1568C42—42no—
1569C42—42no—
1570C42—44no—
1571C42—44no—
1572C42—41no—
1573C42—41no—
1574C42—41no—
1575C42—41no—
1576C42H(5,𝔽2)14yes—
1577C42H(5,𝔽2)14yes—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—21no—
1586C23—22no—
1587C23—24no—
1588C23—24no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—24no—
1593C23—21no—
1594C23—24no—
1595C23—21no—
1596C23—22no—
1597C23—24no—
1598C23—24no—
1599C23—21no—
1600C23—22no—
1601C23—24no—
1602C23—22no—
1603C23—24no—
1604C23—24no—
1605C23—22no—
1606C23—21no—
1607C23—22no—
1608C23—24no—
1609C23—22no—
1610C23—24no—
1611C23—24no—
1612C23—21no—
1613C23—22no—
1614C23—24no—
1615C23—22no—
1616C23—24no—
1617C23—22no—
1618C23—21no—
1619C23—88no—
1620C23—88no—
1621C23—88no—
1622C23—88no—
1623C23—88no—
1624C23—164no—
1625C23—164no—
1626C23C2×H(5,𝔽2)14yes—
1627C23C2611yescharacteristic
1628Q8—48no—
1629Q8—44no—
1630Q8—44no—
1631Q8—44no—
1632D4—28no—
1633D4—48no—
1634D4—48no—
1635D4—44no—
1636D4—48no—
1637D4—48no—
1638D4—48no—
1639D4—44no—
1640D4—48no—
1641D4—84no—
1642D4—84no—
1643D4—88no—
1644D4—84no—
1645D4—88no—
1646D4—88no—
1647D4—84no—
1648D4—84no—
1649D4—88no—
1650D4—88no—
1651D4—88no—
1652D4—88no—
1653D4—164no—
1654D4—164no—
1655D4—164no—
1656D4—164no—
1657D4—164no—
1658D4—164no—
1659D4—164no—
1660D4—164no—
1661D4—164no—
1662D4—164no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—24no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—24no—
1695C2×C4—22no—
1696C2×C4—24no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—24no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—24no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—24no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—48no—
1742C2×C4—48no—
1743C2×C4—44no—
1744C2×C4—44no—
1745C2×C4—48no—
1746C2×C4—48no—
1747C2×C4—82no—
1748C2×C4—88no—
1749C2×C4—88no—
1750C2×C4—88no—
1751C2×C4—84no—
1752C2×C4—88no—
1753C2×C4—88no—
1754C2×C4—88no—
1755C2×C4—164no—
1756C2×C4C2×H(5,𝔽2)12yes—
1757C2×C4C2×H(5,𝔽2)12yes—
1758C2×C4C2×H(5,𝔽2)12yes—
1759C2×C4C2×H(5,𝔽2)12yes—
1760C2×C4C2×H(5,𝔽2)12yes—
1761C2×C4C2×H(5,𝔽2)12yes—
1762C2×C4C2×H(5,𝔽2)12yes—
1763C2×C4#58512yes—
1764C2×C4#58512yes—
1765C22—24no—
1766C22—24no—
1767C22—24no—
1768C22—42no—
1769C22—42no—
1770C22—42no—
1771C22—42no—
1772C22—42no—
1773C22—41no—
1774C22—44no—
1775C22—42no—
1776C22—44no—
1777C22—41no—
1778C22—44no—
1779C22—42no—
1780C22—44no—
1781C22—42no—
1782C22—42no—
1783C22—44no—
1784C22—41no—
1785C22—44no—
1786C22—42no—
1787C22—41no—
1788C22—42no—
1789C22—44no—
1790C22—42no—
1791C22—44no—
1792C22—44no—
1793C22—41no—
1794C22—44no—
1795C22—42no—
1796C22—42no—
1797C22—44no—
1798C22—44no—
1799C22—41no—
1800C22—42no—
1801C22—42no—
1802C22—41no—
1803C22—42no—
1804C22—44no—
1805C22—44no—
1806C22—42no—
1807C22—1616no—
1808C22C22×H(5,𝔽2)11yescharacteristic
1809C22C22×H(5,𝔽2)11yescharacteristic
1810C22C22×H(5,𝔽2)11yescharacteristic
1811C22C2×#58511yescharacteristic
1812C22C2×#58511yescharacteristic
1813C22H(7,𝔽2)11yescharacteristic
1814C22H(7,𝔽2)11yescharacteristic
1815C4—22no—
1816C4—22no—
1817C4—22no—
1818C4—41no—
1819C4—42no—
1820C4—42no—
1821C4—42no—
1822C4—41no—
1823C4—42no—
1824C4—42no—
1825C4—42no—
1826C4—44no—
1827C4—42no—
1828C4—42no—
1829C4—41no—
1830C4—42no—
1831C4—41no—
1832C4—42no—
1833C4—41no—
1834C4—44no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—42no—
1840C4—42no—
1841C4—42no—
1842C4#354214yes—
1843C4#354614yes—
1844C2—44no—
1845C2—82no—
1846C2—81no—
1847C2—84no—
1848C2—84no—
1849C2—82no—
1850C2C2×#354211yescharacteristic
1851C2C2×#354611yescharacteristic
1852C2#6288011yescharacteristic
1853C2#6291211yescharacteristic
1854C2#6292011yescharacteristic
1855C2#6296111yescharacteristic
1856C2#6296911yescharacteristic
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. #59863C2semidirect
2. #59815C2semidirect
3. #59412C2semidirect
4. #59411C2semidirect
5. #56719C2semidirect
6. #56446C2semidirect
7. #56294C2semidirect
8. #55155C2semidirect
9. #53128C2semidirect
10. #53105C2semidirect
11. #53088C2semidirect
12. #52971C2semidirect
13. #45031C2semidirect
14. #44876C2semidirect
15. #42732C2semidirect
16. #42578C2semidirect
17. #42483C2semidirect
18. #42438C2semidirect
19. #42435C2semidirect
20. #42424C2semidirect
21. #39745C2semidirect
22. #39361C2semidirect
23. #39262C2semidirect
24. #39193C2semidirect
25. #39138C2semidirect
26. #38977C2semidirect
27. #38909C2semidirect
28. #38082C2semidirect
29. #37493C2semidirect
30. #37361C2semidirect
31. #36493C2semidirect
32. #36258C2semidirect
33. #35278C2semidirect
34. #34910C2semidirect
35. #34619C2semidirect
36. C2×#559C22semidirect
40. C2×#547C22semidirect
44. C2×#540C22semidirect
46. C2×#529C22semidirect
49. #2859C22semidirect
51. #2856C22semidirect
53. #2850C22semidirect
54. #2829C22semidirect
55. #2829C22semidirect
56. #2828C22semidirect
57. #2828C22semidirect
58. #2827C22semidirect
59. #2826C22semidirect
60. #2825C22semidirect
61. #2825C22semidirect
62. #2815C22semidirect
63. #2814C22semidirect
64. #2813C22semidirect
65. #2812C22semidirect
66. #2808C22semidirect
67. #2781C22semidirect
68. #2779C22semidirect
69. #2778C22semidirect
70. #2778C22semidirect
71. #2778C22semidirect
72. #2765C22semidirect
73. #2757C22semidirect
74. #2753C22semidirect
75. #2750C22semidirect
76. #2749C22semidirect
77. #2749C22semidirect
78. #2741C22semidirect
79. #2739C22semidirect
80. #2714C22semidirect
81. #2708C22semidirect
82. #2708C22semidirect
83. #2706C22semidirect
84. #2703C22semidirect
85. #2703C22semidirect
86. #2703C22semidirect
87. #2703C22semidirect
88. #2703C22semidirect
89. #2701C22semidirect
90. #2699C22semidirect
91. #2697C22semidirect
92. #2696C22semidirect
93. #2696C22semidirect
94. #2693C22semidirect
95. #2693C22semidirect
96. #2691C22semidirect
97. #2688C22semidirect
98. #2688C22semidirect
99. #2682C22semidirect
101. #2678C22semidirect
102. #2673C22semidirect
103. #2673C22semidirect
104. #2673C22semidirect
105. #2673C22semidirect
106. #2671C22semidirect
107. #2671C22semidirect
108. #2671C22semidirect
111. #2669C22semidirect
112. #2669C22semidirect
113. #2668C22semidirect
114. #2661C22semidirect
115. #2657C22semidirect
116. #2654C22semidirect
117. #2653C22semidirect
118. #2650C22semidirect
119. #2649C22semidirect
120. #2648C22semidirect
121. #2647C22semidirect
122. #2645C22semidirect
123. #2645C22semidirect
125. #2641C22semidirect
127. #2639C22semidirect
128. #2628C22semidirect
129. #2625C22semidirect
130. #2625C22semidirect
132. #2624C22semidirect
133. #2622C22semidirect
137. #2619C22semidirect
138. #2619C22semidirect
139. #2617C22semidirect
140. #2617C22semidirect
141. #2615C22semidirect
142. #2602C22semidirect
143. #2602C22semidirect
144. #2601C22semidirect
145. #2601C22semidirect
146. #2598C22semidirect
147. #2592C22semidirect
148. #2592C22semidirect
149. #2582C22semidirect
151. #2565C22semidirect
152. #2563C22semidirect
155. #2547C22semidirect
156. #2545C22semidirect
159. #2544C22semidirect
160. #2544C22semidirect
161. #2543C22semidirect
164. #2541C22semidirect
165. #2541C22semidirect
166. #2541C22semidirect
167. #2540C22semidirect
170. #2538C22semidirect
172. #2537C22semidirect
174. #2535C22semidirect
175. #2535C22semidirect
176. #2513C22semidirect
177. #2513C22semidirect
178. #2510C22semidirect
179. #2508C22semidirect
181. #2503C22semidirect
182. #2500C22semidirect
183. #2499C22semidirect
184. #2495C22semidirect
185. #2495C22semidirect
186. #2494C22semidirect
188. #2490C22semidirect
189. #2489C22semidirect
190. #2485C22semidirect
191. #2476C22semidirect
192. #2471C22semidirect
193. #2456C22semidirect
194. #2454C22semidirect
195. #2448C22semidirect
197. #2447C22semidirect
200. #2445C22semidirect
201. #2445C22semidirect
202. #2445C22semidirect
203. #2445C22semidirect
204. #2445C22semidirect
205. #2442C22semidirect
206. #2442C22semidirect
212. #2432C22semidirect
216. #2431C22semidirect
217. #2431C22semidirect
218. #2431C22semidirect
219. #2430C22semidirect
223. #2428C22semidirect
224. #2428C22semidirect
225. #2428C22semidirect
226. #2428C22semidirect
227. #2428C22semidirect
228. #2428C22semidirect
229. #2428C22semidirect
230. #2427C22semidirect
231. #2427C22semidirect
232. #2427C22semidirect
234. #2425C22semidirect
237. #2424C22semidirect
239. #2422C22semidirect
240. #2418C22semidirect
242. #2416C22semidirect
243. #2416C22semidirect
244. #2416C22semidirect
246. #2412C22semidirect
247. #2412C22semidirect
249. #2411C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2404C22semidirect
257. #2404C22semidirect
258. #2401C22semidirect
259. #2398C22semidirect
260. #2396C22semidirect
261. #2395C22semidirect
262. #2392C22semidirect
263. #2392C22semidirect
265. #2363C22semidirect
266. #2355C22semidirect
267. #2355C22semidirect
268. #2354C22semidirect
269. #2354C22semidirect
270. #2349C22semidirect
272. D4×C4⋊C4C22semidirect
273. #2339C22semidirect
276. #2328C22semidirect
277. #2328C22semidirect
278. #2324C22semidirect
279. #2324C22semidirect
281. #2311C22semidirect
282. C4×C4⋊Q8C22semidirect
283. C4×C4⋊Q8C22semidirect
286. C4×#127C22semidirect
289. C4×#124C22semidirect
290. C4×C22⋊Q8C22semidirect
292. C4×#121C22semidirect
293. #2295C22semidirect
296. #2290C22semidirect
297. #2290C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#598632
#598152
#594122
#594112
#567192
#564462
#562942
#551552
#531282
#531052
#530882
#529712
#450312
#448762
#427322
#425782
#424832
#424382
#424352
#424242
#397452
#393612
#392622
#391932
#391382
#389772
#389092
#380822
#374932
#373612
#364932
#362582
#352782
#349102
#346192