Finite Group Databasebeta

← #8466871

Subgroups — #8466871

Order 512.

5430 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59821C211yesmaximal, characteristic, complemented
2#59124C211yesmaximal, characteristic, complemented
3#59049C211yesmaximal, characteristic, complemented
4#55721C214yesmaximal, complemented
5#55587C214yesmaximal, complemented
6#55553C214yesmaximal, complemented
7#53076C212yesmaximal, complemented
8#53059C212yesmaximal, complemented
9#47992C214yesmaximal, complemented
10#45647C212yesmaximal, complemented
11#45642C212yesmaximal, complemented
12#45084C212yesmaximal, complemented
13#45079C212yesmaximal, complemented
14#42892C212yesmaximal, complemented
15#42889C212yesmaximal, complemented
16#42581C212yesmaximal, complemented
17#42438C212yesmaximal, complemented
18#40169C212yesmaximal, complemented
19#39957C212yesmaximal, complemented
20#39821C212yesmaximal, complemented
21#39387C211yesmaximal, characteristic, complemented
22#39147C211yesmaximal, characteristic, complemented
23#39136C211yesmaximal, characteristic, complemented
24#38933C211yesmaximal, characteristic, complemented
25#38061C212yesmaximal, complemented
26#37614C211yesmaximal, characteristic, complemented
27#37301C212yesmaximal, complemented
28#37290C212yesmaximal, complemented
29#36455C211yesmaximal, characteristic, complemented
30#36419C211yesmaximal, characteristic, complemented
31#36121C211yesmaximal, characteristic, complemented
32#35190C211yesmaximal, characteristic, complemented
33#35171C211yesmaximal, characteristic, complemented
34#34943C211yesmaximal, characteristic, complemented
35#34724C211yesmaximal, characteristic, complemented
36C2×#556C2212yescomplemented
37C2×#556C2211yescharacteristic, complemented
38C2×#550C2211yescharacteristic
39C2×#550C2212yescomplemented
40C2×#546C2212yes—
41C2×#546C2212yes—
42C2×#542C2212yescomplemented
43C2×#540C2212yescomplemented
44C2×#532C2211yescharacteristic
45C22×#127C2211yescharacteristic
46C2×#529C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic, complemented
48#2858C2211yescharacteristic
49#2857C2211yescharacteristic
50#2856C2211yescharacteristic
51#2856C2212yescomplemented
52#2856C2212yescomplemented
53#2854C2212yescomplemented
54#2850C2212yescomplemented
55#2850C2212yescomplemented
56#2850C2212yescomplemented
57#2829C2214yescomplemented
58#2829C2214yescomplemented
59#2825C2214yescomplemented
60#2825C2214yescomplemented
61#2818C2214yes—
62#2818C2214yescomplemented
63#2813C2214yescomplemented
64#2813C2214yescomplemented
65#2803C2214yescomplemented
66#2801C2214yescomplemented
67#2779C2214yescomplemented
68#2779C2214yescomplemented
69#2778C2214yescomplemented
70#2766C2214yescomplemented
71#2757C2214yescomplemented
72#2756C2214yescomplemented
73#2753C2214yescomplemented
74#2752C2214yescomplemented
75#2749C2214yescomplemented
76#2749C2214yescomplemented
77#2738C2214yes—
78#2735C2214yes—
79#2730C2214yescomplemented
80#2727C2214yescomplemented
81#2727C2214yescomplemented
82#2714C2214yescomplemented
83#2714C2214yescomplemented
84#2714C2214yescomplemented
85#2706C2214yescomplemented
86#2706C2214yescomplemented
87#2705C2214yes—
88#2705C2214yescomplemented
89#2705C2214yescomplemented
90#2705C2214yescomplemented
91#2703C2214yescomplemented
92#2701C2214yescomplemented
93#2699C2214yescomplemented
94#2697C2214yes—
95#2695C2214yescomplemented
96#2691C2214yescomplemented
97#2688C2214yescomplemented
98#2685C2214yes—
99#2685C2214yes—
100#2681C2214yescomplemented
101#2681C2214yescomplemented
102#2681C2214yescomplemented
103#2678C2214yes—
104#2678C2214yes—
105#2676C2214yescomplemented
106#2676C2214yescomplemented
107#2676C2214yescomplemented
108#2673C2214yes—
109#2673C2214yescomplemented
110#2671C2214yescomplemented
111#2671C2214yescomplemented
112#2669C2214yes—
113#2668C2214yes—
114#2661C2214yescomplemented
115#2661C2214yescomplemented
116#2657C2212yes—
117#2648C2214yescomplemented
118#2647C2212yescomplemented
119#2644C2212yescomplemented
120#2641C2212yes—
121#2636C2214yescomplemented
122#2635C2214yescomplemented
123#2620C2212yescomplemented
124#2620C2212yescomplemented
125#2619C2212yes—
126#2619C2212yes—
127#2619C2214yescomplemented
128#2617C2214yes—
129#2613C2214yes—
130#2602C2214yescomplemented
131#2598C2214yescomplemented
132#2598C2214yescomplemented
133#2578C2214yescomplemented
134#2572C2212yes—
135#2572C2212yescomplemented
136#2571C2211yescharacteristic, complemented
137#2568C2211yescharacteristic, complemented
138#2566C2212yescomplemented
139#2565C2212yescomplemented
140#2563C2211yescharacteristic
141#2563C2211yescharacteristic, complemented
142#2559C2214yescomplemented
143#2559C2214yescomplemented
144#2553C2214yescomplemented
145#2552C2211yescharacteristic, complemented
146#2548C2211yescharacteristic
147#2548C2211yescharacteristic
148#2548C2211yescharacteristic
149#2548C2212yescomplemented
150#2548C2212yescomplemented
151#2544C2212yes—
152#2544C2212yescomplemented
153#2544C2212yescomplemented
154#2542C2212yescomplemented
155#2542C2211yescharacteristic, complemented
156#2541C2212yes—
157#2541C2211yescharacteristic
158#2541C2211yescharacteristic
159#2541C2211yescharacteristic
160#2541C2212yescomplemented
161#2540C2212yes—
162#2540C2212yescomplemented
163#2539C2214yes—
164#2538C2212yes—
165#2538C2212yes—
166#2538C2212yescomplemented
167#2538C2212yescomplemented
168#2537C2211yescharacteristic
169#2537C2212yescomplemented
170#2537C2211yescharacteristic, complemented
171#2518C2214yescomplemented
172#2518C2214yescomplemented
173#2514C2212yescomplemented
174#2513C2212yescomplemented
175#2512C2212yescomplemented
176#2512C2212yescomplemented
177#2512C2212yescomplemented
178#2500C2212yescomplemented
179#2500C2212yescomplemented
180#2495C2211yescharacteristic
181#2495C2211yescharacteristic, complemented
182#2495C2212yescomplemented
183#2494C2212yes—
184#2490C2212yescomplemented
185#2490C2212yescomplemented
186#2489C2212yes—
187#2480C2214yes—
188#2478C2212yescomplemented
189#2472C2214yes—
190#2470C2212yes—
191#2470C2214yescomplemented
192#2467C2214yescomplemented
193#2466C2212yescomplemented
194#2464C2214yescomplemented
195#2455C2212yes—
196#2453C2211yescharacteristic, complemented
197#2448C2212yescomplemented
198#2448C2212yescomplemented
199#2448C2212yescomplemented
200#2447C2211yescharacteristic, complemented
201#2445C2212yes—
202#2445C2212yes—
203#2445C2212yes—
204#2445C2212yescomplemented
205#2441C2211yescharacteristic, complemented
206#2441C2212yescomplemented
207#2437C2214yes—
208#2435C2212yes—
209#2435C2212yes—
210#2433C2212yes—
211#2433C2212yes—
212#2432C2212yescomplemented
213#2432C2211yescharacteristic, complemented
214#2431C2212yes—
215#2431C2212yes—
216#2431C2212yescomplemented
217#2431C2212yescomplemented
218#2429C2211yescharacteristic
219#2428C2212yes—
220#2428C2212yes—
221#2428C2212yes—
222#2428C2214yescomplemented
223#2428C2212yescomplemented
224#2428C2212yescomplemented
225#2428C2212yescomplemented
226#2427C2212yescomplemented
227#2427C2212yescomplemented
228#2426C2212yescomplemented
229#2426C2212yescomplemented
230#2426C2212yescomplemented
231#2423C2212yes—
232#2423C2212yes—
233#2422C2211yescharacteristic
234#2422C2212yescomplemented
235#2422C2212yescomplemented
236#2422C2212yescomplemented
237#2420C2212yes—
238#2420C2211yescharacteristic
239#2420C2211yescharacteristic, complemented
240#2415C2211yescharacteristic
241#2415C2214yescomplemented
242#2414C2212yes—
243#2414C2212yescomplemented
244#2414C2212yescomplemented
245#2414C2214yescomplemented
246#2411C2214yes—
247#2410C2214yes—
248#2408C2212yes—
249#2408C2212yes—
250#2408C2212yes—
251#2408C2212yes—
252#2408C2212yes—
253#2407C2211yescharacteristic
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2398C2212yes—
257#2398C2212yescomplemented
258#2395C2212yescomplemented
259#2392C2212yes—
260#2375C2214yes—
261#2367C2212yescomplemented
262#2367C2212yescomplemented
263#2366C2211yescharacteristic
264#2365C2211yescharacteristic, complemented
265#2363C2212yescomplemented
266#2354C2212yescomplemented
267Q8×C4⋊C4C2211yescharacteristic, complemented
268Q8×C4⋊C4C2211yescharacteristic, complemented
269#2341C2212yescomplemented
270#2341C2212yescomplemented
271D4×C22⋊C4C2212yes—
272D4×C22⋊C4C2212yes—
273D4×C22⋊C4C2212yes—
274#2328C2212yescomplemented
275#2326C2212yescomplemented
276#2326C2212yescomplemented
277#2324C2212yescomplemented
278#2323C2212yescomplemented
279#2321C2214yes—
280#2320C2212yescomplemented
281C4×C4⋊Q8C2211yescharacteristic, complemented
282C4×C4⋊Q8C2211yescharacteristic, complemented
283C4×#127C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic, complemented
286C4×#123C2212yes—
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic, complemented
290C4×#121C2212yescomplemented
291#2297C2212yescomplemented
292#2296C2212yescomplemented
293#2293C2211yescharacteristic, complemented
294#2283C2211yescharacteristic
295#2283C2211yescharacteristic, complemented
296#2283C2212yescomplemented
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305#556—44no—
306#556—48no—
307#550—44no—
308#550—48no—
309#546—48no—
310#546—48no—
311#542—48no—
312#540—48no—
313#532—44no—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×#127—44no—
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#127C2312yes—
321C2×#127C2314yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328#529—44no—
329C2×#126C2312yes—
330C2×#126C2314yes—
331C2×#126C2314yes—
332C2×#126C2314yes—
333C2×#126C2314yes—
334C2×#125C2312yes—
335C2×#125C2311yescharacteristic
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2311yescharacteristic
343C2×#124C2312yes—
344C2×#124C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2312yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2312yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2311yescharacteristic
359C2×C22⋊Q8C2311yescharacteristic
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2314yes—
362C2×C22⋊Q8C2314yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2311yescharacteristic
381C2×#121C2312yes—
382C2×#121C2314yes—
383C2×#121C2312yes—
384C2×#121C2314yes—
385C2×#121C2311yescharacteristic
386C2×#121C2311yescharacteristic
387C2×#121C2312yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396C4×#41—44no—
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2311yescharacteristic
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2312yes—
401C2×C4×Q8C2312yes—
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2311yescharacteristic
404C2×C4×Q8C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2311yescharacteristic
426C2×C4×D4C2312yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2314yes—
431C2×#117C2312yes—
432C2×#117C2311yescharacteristic
433C22×C22⋊C4C2314yes—
434C22×C22⋊C4C2314yes—
435C22×C42C2311yescharacteristic
436C22×C42C2311yescharacteristic
437C22×C42C2312yes—
438C22×C42C2312yes—
439#401C2314yes—
440#400C2314yes—
441#400C2312yes—
442#400C2312yes—
443#400C2312yes—
444#400C2312yes—
445#400C2314yes—
446#400C2314yes—
447#400C2312yes—
448#399C2312yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2312yes—
459#398C2312yes—
460#398C2314yes—
461#397C2312yes—
462#397C2312yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2312yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2312yes—
476#397C2312yes—
477#397C2312yes—
478#397C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2312yes—
490#396C2312yes—
491#396C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2312yes—
499#394C2312yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2312yes—
508#394C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2312yes—
523#394C2314yes—
524#394C2312yes—
525#394C2314yes—
526#394C2314yes—
527#394C2312yes—
528#394C2314yes—
529#394C2314yes—
530#394C2312yes—
531#394C2312yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#393C2312yes—
538#393C2312yes—
539#393C2312yes—
540#393C2312yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2312yes—
563#392C2314yes—
564#392C2314yes—
565#391C2312yes—
566#391C2311yescharacteristic
567#391C2311yescharacteristic
568#391C2312yes—
569#391C2312yes—
570#391C2312yes—
571#391C2312yes—
572#391C2311yescharacteristic
573#391C2311yescharacteristic
574#391C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2311yescharacteristic
580#390C2311yescharacteristic
581#390C2312yes—
582#390C2312yes—
583#390C2314yes—
584#390C2314yes—
585#390C2314yes—
586#390C2314yes—
587#390C2312yes—
588#390C2314yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2314yes—
600#390C2312yes—
601#390C2312yes—
602#390C2314yes—
603#390C2314yes—
604#390C2311yescharacteristic
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2314yes—
609#390C2312yes—
610#390C2314yes—
611#390C2314yes—
612#390C2312yes—
613#390C2312yes—
614#390C2314yes—
615#390C2314yes—
616#390C2312yes—
617#390C2314yes—
618#390C2311yescharacteristic
619#389C2312yes—
620#389C2311yescharacteristic
621#389C2312yes—
622#389C2311yescharacteristic
623#389C2312yes—
624#389C2311yescharacteristic
625#389C2312yes—
626#389C2311yescharacteristic
627#389C2312yes—
628#389C2312yes—
629#389C2314yes—
630#389C2312yes—
631#389C2311yescharacteristic
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2314yes—
636#389C2314yes—
637#389C2311yescharacteristic
638#389C2312yes—
639#389C2311yescharacteristic
640#389C2312yes—
641#389C2311yescharacteristic
642#389C2312yes—
643#389C2312yes—
644#389C2314yes—
645#389C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#388C2312yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2312yes—
673#388C2314yes—
674#388C2314yes—
675#388C2312yes—
676#388C2314yes—
677#388C2312yes—
678#388C2312yes—
679#387C2314yes—
680#387C2314yes—
681#387C2312yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#386C2312yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2312yes—
697#386C2312yes—
698#386C2312yes—
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#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2314yes—
726#385C2312yes—
727#385C2314yes—
728#385C2312yes—
729#385C2312yes—
730#385C2312yes—
731#385C2312yes—
732#385C2312yes—
733#384C2311yescharacteristic
734#384C2311yescharacteristic
735#384C2311yescharacteristic
736#384C2312yes—
737#384C2312yes—
738#384C2312yes—
739#384C2312yes—
740#383C2312yes—
741#383C2314yes—
742#383C2312yes—
743#383C2312yes—
744#383C2312yes—
745#382C2312yes—
746#382C2311yescharacteristic
747#382C2311yescharacteristic
748#382C2312yes—
749#382C2311yescharacteristic
750#382C2311yescharacteristic
751#382C2312yes—
752#382C2314yes—
753#381C2312yes—
754#381C2312yes—
755#381C2312yes—
756#381C2312yes—
757#381C2312yes—
758#380C2311yescharacteristic
759#380C2311yescharacteristic
760#380C2311yescharacteristic
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2312yes—
764#380C2314yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2314yes—
770#380C2314yes—
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775#380C2314yes—
776#380C2312yes—
777#379C2314yes—
778#379C2314yes—
779#379C2314yes—
780#379C2314yes—
781#379C2314yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2314yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2311yescharacteristic
819#376C2312yes—
820#376C2312yes—
821C43C2311yescharacteristic
822C25C2414yes—
823C2×#41—24no—
824C2×#41—28no—
825C2×#41—42no—
826C2×#41—42no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—82no—
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2411yescharacteristic
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2414yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2412yes—
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2414yes—
880C23×C4C2414yes—
881C23×C4C2412yes—
882C23×C4C2411yescharacteristic
883C23×C4C2412yes—
884C23×C4C2414yes—
885C23×C4C2414yes—
886C23×C4C2412yes—
887C23×C4C2412yes—
888C4⋊Q8—24no—
889C4⋊Q8—24no—
890C4⋊Q8—24no—
891#127—24no—
892#127—24no—
893#127—44no—
894#127—44no—
895#127—44no—
896#127—44no—
897#127—44no—
898#127—44no—
899#127—48no—
900#127—44no—
901#126—44no—
902#126—48no—
903#126—48no—
904#126—48no—
905#126—48no—
906#125—42no—
907#125—44no—
908#124—28no—
909#124—28no—
910#124—44no—
911#124—44no—
912#124—42no—
913#124—44no—
914#124—44no—
915#124—44no—
916#124—48no—
917#123—48no—
918#123—48no—
919#123—44no—
920#123—44no—
921#123—48no—
922#123—48no—
923#123—48no—
924#123—84no—
925C22⋊Q8—24no—
926C22⋊Q8—48no—
927C22⋊Q8—48no—
928C22⋊Q8—42no—
929C22⋊Q8—44no—
930C22⋊Q8—42no—
931C22⋊Q8—44no—
932C22⋊Q8—44no—
933C22⋊Q8—44no—
934C22⋊Q8—84no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—48no—
940#121—44no—
941#121—44no—
942#121—44no—
943#121—42no—
944#121—44no—
945#121—42no—
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—84no—
960#121—82no—
961#121—84no—
962#121—84no—
963#120—48no—
964#120—48no—
965#120—48no—
966#120—48no—
967#120—84no—
968C4×Q8—28no—
969C4×Q8—24no—
970C4×Q8—24no—
971C4×Q8—44no—
972C4×Q8—42no—
973C4×Q8—44no—
974C4×Q8—44no—
975C4×Q8—44no—
976C4×D4—24no—
977C4×D4—24no—
978C4×D4—28no—
979C4×D4—24no—
980C4×D4—24no—
981C4×D4—42no—
982C4×D4—42no—
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—44no—
995C4×D4—44no—
996C4×D4—42no—
997C4×D4—82no—
998#117—28no—
999#117—44no—
1000#117—44no—
1001#117—48no—
1002#117—42no—
1003#117—44no—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C22⋊C4—48no—
1060C2×C22⋊C4—48no—
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C42—24no—
1139C2×C42—24no—
1140C2×C42—44no—
1141C2×C42—44no—
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2414yes—
1147C2×C42C2411yescharacteristic
1148C2×C42C2412yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2412yes—
1157C2×C42C2411yescharacteristic
1158C2×C42C2412yes—
1159C2×C42C2414yes—
1160C2×C42C2414yes—
1161C2×C42C2411yescharacteristic
1162C2×C42C2412yes—
1163C2×C42C2411yescharacteristic
1164C2×C42C2414yes—
1165C2×C42C2412yes—
1166C2×C42C2412yes—
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2411yescharacteristic
1181#95C2411yescharacteristic
1182#95C2412yes—
1183#95C2412yes—
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2411yescharacteristic
1187#95C2412yes—
1188#95C2412yes—
1189#95C2411yescharacteristic
1190#95C2412yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2414yes—
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—
1232C24C2514yes—
1233C24C2514yes—
1234C24C2512yes—
1235C24C2512yes—
1236C24C2511yescharacteristic
1237C24C2511yescharacteristic
1238#41—416no—
1239#41—816no—
1240#41—816no—
1241C2×Q8—22no—
1242C2×Q8—22no—
1243C2×Q8—22no—
1244C2×Q8—24no—
1245C2×Q8—24no—
1246C2×Q8—24no—
1247C2×Q8—22no—
1248C2×Q8—22no—
1249C2×Q8—24no—
1250C2×Q8—42no—
1251C2×Q8—42no—
1252C2×Q8H(5,𝔽2)14yes—
1253C2×D4—22no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—24no—
1260C2×D4—22no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—22no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—28no—
1272C2×D4—24no—
1273C2×D4—22no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—22no—
1279C2×D4—42no—
1280C2×D4—41no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—44no—
1287C2×D4—42no—
1288C2×D4—44no—
1289C2×D4—44no—
1290C2×D4—42no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—44no—
1299C2×D4—42no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—42no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
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—816no—
1335C2×D4—816no—
1336C2×D4—816no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—24no—
1349C22×C4—22no—
1350C22×C4—24no—
1351C22×C4—22no—
1352C22×C4—24no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—24no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—28no—
1360C22×C4—28no—
1361C22×C4—24no—
1362C22×C4—42no—
1363C22×C4—41no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—42no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—41no—
1373C22×C4—42no—
1374C22×C4—44no—
1375C22×C4—42no—
1376C22×C4—41no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4—42no—
1380C22×C4—44no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4C2512yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2511yescharacteristic
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2514yes—
1400C22×C4C2512yes—
1401C22×C4C2511yescharacteristic
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2514yes—
1405C22×C4C2512yes—
1406C22×C4C2512yes—
1407C22×C4C2512yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2512yes—
1410C22×C4C2511yescharacteristic
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—22no—
1417C4⋊C4—24no—
1418C4⋊C4—22no—
1419C4⋊C4—24no—
1420C4⋊C4—22no—
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—28no—
1431C4⋊C4—24no—
1432C4⋊C4—22no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—41no—
1445C4⋊C4—41no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—42no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—42no—
1466C4⋊C4—44no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C22⋊C4—22no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—22no—
1473C22⋊C4—24no—
1474C22⋊C4—28no—
1475C22⋊C4—28no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—28no—
1480C22⋊C4—28no—
1481C22⋊C4—22no—
1482C22⋊C4—24no—
1483C22⋊C4—24no—
1484C22⋊C4—28no—
1485C22⋊C4—42no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—41no—
1496C22⋊C4—41no—
1497C22⋊C4—42no—
1498C22⋊C4—41no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—42no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—42no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—44no—
1532C22⋊C4—42no—
1533C22⋊C4—44no—
1534C22⋊C4—42no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—24no—
1553C42—24no—
1554C42—24no—
1555C42—28no—
1556C42—24no—
1557C42—22no—
1558C42—24no—
1559C42—22no—
1560C42—24no—
1561C42—22no—
1562C42—42no—
1563C42—42no—
1564C42—42no—
1565C42—42no—
1566C42—44no—
1567C42—44no—
1568C42—41no—
1569C42—41no—
1570C42—44no—
1571C42H(5,𝔽2)14yes—
1572C42H(5,𝔽2)14yes—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—24no—
1580C23—24no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—24no—
1586C23—21no—
1587C23—21no—
1588C23—24no—
1589C23—21no—
1590C23—22no—
1591C23—22no—
1592C23—24no—
1593C23—24no—
1594C23—21no—
1595C23—22no—
1596C23—21no—
1597C23—24no—
1598C23—22no—
1599C23—24no—
1600C23—24no—
1601C23—24no—
1602C23—22no—
1603C23—24no—
1604C23—24no—
1605C23—22no—
1606C23—21no—
1607C23—22no—
1608C23—22no—
1609C23—21no—
1610C23—24no—
1611C23—22no—
1612C23—24no—
1613C23—22no—
1614C23—88no—
1615C23—88no—
1616C23—88no—
1617C23—88no—
1618C23—88no—
1619C23—164no—
1620C23—164no—
1621C23#58512yes—
1622C23C2611yescharacteristic
1623Q8—28no—
1624Q8—44no—
1625Q8—48no—
1626Q8—84no—
1627D4—44no—
1628D4—48no—
1629D4—48no—
1630D4—48no—
1631D4—48no—
1632D4—44no—
1633D4—44no—
1634D4—48no—
1635D4—48no—
1636D4—84no—
1637D4—88no—
1638D4—84no—
1639D4—84no—
1640D4—84no—
1641D4—88no—
1642D4—88no—
1643D4—88no—
1644D4—88no—
1645D4—88no—
1646D4—164no—
1647D4—164no—
1648D4—164no—
1649D4—164no—
1650D4—164no—
1651D4—164no—
1652D4—164no—
1653D4—164no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—24no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—24no—
1684C2×C4—24no—
1685C2×C4—22no—
1686C2×C4—21no—
1687C2×C4—24no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—24no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—24no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—44no—
1732C2×C4—48no—
1733C2×C4—44no—
1734C2×C4—44no—
1735C2×C4—48no—
1736C2×C4—48no—
1737C2×C4—44no—
1738C2×C4—44no—
1739C2×C4—84no—
1740C2×C4—88no—
1741C2×C4—82no—
1742C2×C4—88no—
1743C2×C4—84no—
1744C2×C4—84no—
1745C2×C4—88no—
1746C2×C4—164no—
1747C2×C4C2×H(5,𝔽2)12yes—
1748C2×C4C2×H(5,𝔽2)14yes—
1749C2×C4C2×H(5,𝔽2)12yes—
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×C4#58512yes—
1756C2×C4#58512yes—
1757C22—22no—
1758C22—22no—
1759C22—22no—
1760C22—41no—
1761C22—41no—
1762C22—41no—
1763C22—41no—
1764C22—41no—
1765C22—42no—
1766C22—44no—
1767C22—44no—
1768C22—42no—
1769C22—42no—
1770C22—41no—
1771C22—42no—
1772C22—44no—
1773C22—44no—
1774C22—42no—
1775C22—41no—
1776C22—42no—
1777C22—44no—
1778C22—44no—
1779C22—44no—
1780C22—44no—
1781C22—42no—
1782C22—42no—
1783C22—41no—
1784C22—42no—
1785C22—41no—
1786C22—44no—
1787C22—44no—
1788C22—42no—
1789C22—42no—
1790C22—42no—
1791C22—44no—
1792C22—41no—
1793C22—44no—
1794C22—42no—
1795C22—41no—
1796C22—42no—
1797C22—44no—
1798C22—44no—
1799C22—1616no—
1800C22C22×H(5,𝔽2)11yescharacteristic
1801C22C22×H(5,𝔽2)11yescharacteristic
1802C22C22×H(5,𝔽2)11yescharacteristic
1803C22C2×#58511yescharacteristic
1804C22C2×#58511yescharacteristic
1805C22C2×#58511yescharacteristic
1806C22H(7,𝔽2)11yescharacteristic
1807C4—22no—
1808C4—22no—
1809C4—22no—
1810C4—24no—
1811C4—42no—
1812C4—41no—
1813C4—41no—
1814C4—44no—
1815C4—41no—
1816C4—42no—
1817C4—42no—
1818C4—42no—
1819C4—42no—
1820C4—44no—
1821C4—42no—
1822C4—42no—
1823C4—42no—
1824C4—41no—
1825C4—41no—
1826C4—42no—
1827C4—42no—
1828C4—41no—
1829C4—42no—
1830C4—41no—
1831C4—42no—
1832C4—41no—
1833C4—42no—
1834C4#354214yes—
1835C4#354614yes—
1836C2—42no—
1837C2—81no—
1838C2—82no—
1839C2—82no—
1840C2—84no—
1841C2—84no—
1842C2C2×#354211yescharacteristic
1843C2C2×#354611yescharacteristic
1844C2#6283011yescharacteristic
1845C2#6291611yescharacteristic
1846C2#6292411yescharacteristic
1847C2#6296611yescharacteristic
1848C2#6301911yescharacteristic
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. #59821C2semidirect
2. #59124C2semidirect
3. #59049C2semidirect
4. #55721C2semidirect
5. #55587C2semidirect
6. #55553C2semidirect
7. #53076C2semidirect
8. #53059C2semidirect
9. #47992C2semidirect
10. #45647C2semidirect
11. #45642C2semidirect
12. #45084C2semidirect
13. #45079C2semidirect
14. #42892C2semidirect
15. #42889C2semidirect
16. #42581C2semidirect
17. #42438C2semidirect
18. #40169C2semidirect
19. #39957C2semidirect
20. #39821C2semidirect
21. #39387C2semidirect
22. #39147C2semidirect
23. #39136C2semidirect
24. #38933C2semidirect
25. #38061C2semidirect
26. #37614C2semidirect
27. #37301C2semidirect
28. #37290C2semidirect
29. #36455C2semidirect
30. #36419C2semidirect
31. #36121C2semidirect
32. #35190C2semidirect
33. #35171C2semidirect
34. #34943C2semidirect
35. #34724C2semidirect
36. C2×#556C22semidirect
37. C2×#556C22semidirect
39. C2×#550C22semidirect
42. C2×#542C22semidirect
43. C2×#540C22semidirect
47. C2×C4×#41C22semidirect
51. #2856C22semidirect
52. #2856C22semidirect
53. #2854C22semidirect
54. #2850C22semidirect
55. #2850C22semidirect
56. #2850C22semidirect
57. #2829C22semidirect
58. #2829C22semidirect
59. #2825C22semidirect
60. #2825C22semidirect
62. #2818C22semidirect
63. #2813C22semidirect
64. #2813C22semidirect
65. #2803C22semidirect
66. #2801C22semidirect
67. #2779C22semidirect
68. #2779C22semidirect
69. #2778C22semidirect
70. #2766C22semidirect
71. #2757C22semidirect
72. #2756C22semidirect
73. #2753C22semidirect
74. #2752C22semidirect
75. #2749C22semidirect
76. #2749C22semidirect
79. #2730C22semidirect
80. #2727C22semidirect
81. #2727C22semidirect
82. #2714C22semidirect
83. #2714C22semidirect
84. #2714C22semidirect
85. #2706C22semidirect
86. #2706C22semidirect
88. #2705C22semidirect
89. #2705C22semidirect
90. #2705C22semidirect
91. #2703C22semidirect
92. #2701C22semidirect
93. #2699C22semidirect
95. #2695C22semidirect
96. #2691C22semidirect
97. #2688C22semidirect
100. #2681C22semidirect
101. #2681C22semidirect
102. #2681C22semidirect
105. #2676C22semidirect
106. #2676C22semidirect
107. #2676C22semidirect
109. #2673C22semidirect
110. #2671C22semidirect
111. #2671C22semidirect
114. #2661C22semidirect
115. #2661C22semidirect
117. #2648C22semidirect
118. #2647C22semidirect
119. #2644C22semidirect
121. #2636C22semidirect
122. #2635C22semidirect
123. #2620C22semidirect
124. #2620C22semidirect
127. #2619C22semidirect
130. #2602C22semidirect
131. #2598C22semidirect
132. #2598C22semidirect
133. #2578C22semidirect
135. #2572C22semidirect
136. #2571C22semidirect
137. #2568C22semidirect
138. #2566C22semidirect
139. #2565C22semidirect
141. #2563C22semidirect
142. #2559C22semidirect
143. #2559C22semidirect
144. #2553C22semidirect
145. #2552C22semidirect
149. #2548C22semidirect
150. #2548C22semidirect
152. #2544C22semidirect
153. #2544C22semidirect
154. #2542C22semidirect
155. #2542C22semidirect
160. #2541C22semidirect
162. #2540C22semidirect
166. #2538C22semidirect
167. #2538C22semidirect
169. #2537C22semidirect
170. #2537C22semidirect
171. #2518C22semidirect
172. #2518C22semidirect
173. #2514C22semidirect
174. #2513C22semidirect
175. #2512C22semidirect
176. #2512C22semidirect
177. #2512C22semidirect
178. #2500C22semidirect
179. #2500C22semidirect
181. #2495C22semidirect
182. #2495C22semidirect
184. #2490C22semidirect
185. #2490C22semidirect
188. #2478C22semidirect
191. #2470C22semidirect
192. #2467C22semidirect
193. #2466C22semidirect
194. #2464C22semidirect
196. #2453C22semidirect
197. #2448C22semidirect
198. #2448C22semidirect
199. #2448C22semidirect
200. #2447C22semidirect
204. #2445C22semidirect
205. #2441C22semidirect
206. #2441C22semidirect
212. #2432C22semidirect
213. #2432C22semidirect
216. #2431C22semidirect
217. #2431C22semidirect
222. #2428C22semidirect
223. #2428C22semidirect
224. #2428C22semidirect
225. #2428C22semidirect
226. #2427C22semidirect
227. #2427C22semidirect
228. #2426C22semidirect
229. #2426C22semidirect
230. #2426C22semidirect
234. #2422C22semidirect
235. #2422C22semidirect
236. #2422C22semidirect
239. #2420C22semidirect
241. #2415C22semidirect
243. #2414C22semidirect
244. #2414C22semidirect
245. #2414C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
257. #2398C22semidirect
258. #2395C22semidirect
261. #2367C22semidirect
262. #2367C22semidirect
264. #2365C22semidirect
265. #2363C22semidirect
266. #2354C22semidirect
267. Q8×C4⋊C4C22semidirect
268. Q8×C4⋊C4C22semidirect
269. #2341C22semidirect
270. #2341C22semidirect
274. #2328C22semidirect
275. #2326C22semidirect
276. #2326C22semidirect
277. #2324C22semidirect
278. #2323C22semidirect
280. #2320C22semidirect
281. C4×C4⋊Q8C22semidirect
282. C4×C4⋊Q8C22semidirect
285. C4×C22⋊Q8C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. #2297C22semidirect
292. #2296C22semidirect
293. #2293C22semidirect
295. #2283C22semidirect
296. #2283C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#598212
#591242
#590492
#557212
#555872
#555532
#530762
#530592
#479922
#456472
#456422
#450842
#450792
#428922
#428892
#425812
#424382
#401692
#399572
#398212
#393872
#391472
#391362
#389332
#380612
#376142
#373012
#372902
#364552
#364192
#361212
#351902
#351712
#349432
#347242