Finite Group Databasebeta

← #8195250

Subgroups — #8195250

Order 512.

5797 conjugacy classes of subgroups.

The subgroup lattice has 1913 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59815C211yesmaximal, characteristic, complemented
2#59812C212yesmaximal, complemented
3#59680C211yesmaximal, characteristic, complemented
4#59451C211yesmaximal, characteristic, complemented
5#59412C211yesmaximal, characteristic, complemented
6#59046C212yesmaximal, complemented
7#57426C214yesmaximal, complemented
8#54845C214yesmaximal, complemented
9#53044C212yesmaximal, complemented
10#52969C212yesmaximal, complemented
11#49982C214yesmaximal, complemented
12#47572C214yesmaximal, complemented
13#45602C212yesmaximal, complemented
14#45518C212yesmaximal, complemented
15#44920C212yesmaximal, complemented
16#44886C212yesmaximal, complemented
17#42951C212yesmaximal, complemented
18#42468C212yesmaximal, complemented
19#42433C212yesmaximal, complemented
20#42432C212yesmaximal, complemented
21#40175C212yesmaximal, complemented
22#39957C212yesmaximal, complemented
23#39507C211yesmaximal, characteristic, complemented
24#39342C211yesmaximal, characteristic, complemented
25#39340C211yesmaximal, characteristic, complemented
26#39189C212yesmaximal, complemented
27#39138C212yesmaximal, complemented
28#38956C211yesmaximal, characteristic, complemented
29#36455C211yesmaximal, characteristic, complemented
30#36404C211yesmaximal, characteristic, complemented
31#36260C211yesmaximal, characteristic, complemented
32#36114C211yesmaximal, characteristic, complemented
33#35288C211yesmaximal, characteristic, complemented
34#34977C211yesmaximal, characteristic, complemented
35#34970C211yesmaximal, characteristic, complemented
36C2×#553C2212yescomplemented
37C2×#550C2211yescharacteristic
38C2×#550C2212yes—
39C2×#550C2212yescomplemented
40C2×#547C2211yescharacteristic
41C2×#547C2211yescharacteristic, complemented
42C2×#546C2212yes—
43C2×#546C2212yes—
44C2×#546C2212yes—
45C2×D42C2211yescharacteristic
46C2×#537C2212yescomplemented
47C2×#535C2212yes—
48C2×#532C2211yescharacteristic
49C2×#529C2212yescomplemented
50C2×C4×#41C2211yescharacteristic, complemented
51#2859C2211yescharacteristic, complemented
52#2858C2211yescharacteristic
53#2857C2211yescharacteristic, complemented
54#2856C2212yes—
55#2856C2211yescharacteristic
56#2856C2212yescomplemented
57#2855C2212yescomplemented
58#2851C2212yescomplemented
59#2830C2214yescomplemented
60#2829C2214yescomplemented
61#2828C2214yescomplemented
62#2815C2214yescomplemented
63#2815C2214yescomplemented
64#2813C2214yescomplemented
65#2812C2214yescomplemented
66#2803C2214yescomplemented
67#2803C2214yescomplemented
68#2803C2214yescomplemented
69#2800C2214yescomplemented
70#2797C2214yescomplemented
71#2796C2214yescomplemented
72#2773C2214yescomplemented
73#2752C2214yescomplemented
74#2742C2214yescomplemented
75#2740C2214yescomplemented
76#2740C2214yescomplemented
77#2723C2214yescomplemented
78#2717C2214yescomplemented
79#2714C2214yescomplemented
80#2714C2214yescomplemented
81#2714C2214yescomplemented
82#2714C2214yescomplemented
83#2714C2214yescomplemented
84#2709C2214yescomplemented
85#2708C2214yescomplemented
86#2705C2214yescomplemented
87#2703C2214yescomplemented
88#2703C2214yescomplemented
89#2699C2214yescomplemented
90#2696C2214yescomplemented
91#2688C2214yescomplemented
92#2686C2214yescomplemented
93#2682C2214yescomplemented
94#2678C2214yes—
95#2676C2214yescomplemented
96#2673C2214yescomplemented
97#2673C2214yescomplemented
98#2673C2214yescomplemented
99#2673C2214yescomplemented
100#2672C2214yescomplemented
101#2671C2214yescomplemented
102#2671C2214yescomplemented
103#2670C2214yes—
104#2669C2214yes—
105#2669C2214yescomplemented
106#2669C2214yescomplemented
107#2669C2214yescomplemented
108#2668C2214yescomplemented
109#2668C2214yescomplemented
110#2661C2214yescomplemented
111#2644C2212yescomplemented
112#2635C2214yescomplemented
113#2630C2214yescomplemented
114#2624C2212yescomplemented
115#2622C2214yescomplemented
116#2619C2212yes—
117#2619C2212yescomplemented
118#2619C2214yescomplemented
119#2617C2214yescomplemented
120#2616C2212yescomplemented
121#2615C2212yes—
122#2610C2212yescomplemented
123#2610C2212yescomplemented
124#2602C2214yescomplemented
125#2596C2214yescomplemented
126#2570C2212yescomplemented
127#2568C2211yescharacteristic, complemented
128#2567C2211yescharacteristic, complemented
129#2563C2211yescharacteristic, complemented
130#2553C2214yescomplemented
131#2548C2211yescharacteristic
132#2542C2211yescharacteristic
133#2541C2211yescharacteristic
134#2541C2211yescharacteristic
135#2541C2211yescharacteristic
136#2541C2212yes—
137#2541C2212yescomplemented
138#2541C2214yescomplemented
139#2541C2212yescomplemented
140#2541C2212yescomplemented
141#2540C2212yes—
142#2540C2212yes—
143#2539C2214yes—
144#2539C2214yes—
145#2539C2214yescomplemented
146#2538C2211yescharacteristic
147#2538C2212yescomplemented
148#2537C2211yescharacteristic
149#2537C2211yescharacteristic
150#2537C2212yescomplemented
151#2537C2211yescharacteristic, complemented
152#2537C2212yescomplemented
153#2535C2212yes—
154#2535C2212yescomplemented
155#2535C2214yescomplemented
156#2534C2214yescomplemented
157#2531C2212yescomplemented
158#2526C2212yescomplemented
159#2522C2214yescomplemented
160#2513C2212yes—
161#2513C2212yescomplemented
162#2513C2211yescharacteristic, complemented
163#2512C2212yescomplemented
164#2507C2211yescharacteristic, complemented
165#2504C2212yescomplemented
166#2501C2212yes—
167#2500C2211yescharacteristic
168#2500C2211yescharacteristic, complemented
169#2499C2212yescomplemented
170#2497C2211yescharacteristic, complemented
171#2496C2212yescomplemented
172#2491C2212yes—
173#2490C2212yes—
174#2490C2212yescomplemented
175#2490C2212yescomplemented
176#2490C2211yescharacteristic, complemented
177#2489C2212yescomplemented
178#2485C2212yescomplemented
179#2485C2212yescomplemented
180#2480C2214yescomplemented
181#2476C2212yescomplemented
182#2471C2212yescomplemented
183#2471C2214yescomplemented
184#2470C2214yescomplemented
185#2470C2214yescomplemented
186#2466C2214yescomplemented
187#2461C2214yescomplemented
188#2457C2214yescomplemented
189#2457C2214yescomplemented
190#2456C2214yescomplemented
191#2454C2211yescharacteristic
192#2454C2212yescomplemented
193#2448C2212yes—
194#2448C2212yescomplemented
195#2447C2212yescomplemented
196#2445C2211yescharacteristic
197#2445C2212yescomplemented
198#2445C2214yescomplemented
199#2440C2212yescomplemented
200#2433C2212yes—
201#2433C2212yes—
202#2433C2212yes—
203#2431C2211yescharacteristic
204#2431C2212yescomplemented
205#2431C2212yescomplemented
206#2431C2212yescomplemented
207#2431C2211yescharacteristic, complemented
208#2428C2212yes—
209#2428C2211yescharacteristic
210#2428C2212yes—
211#2428C2212yescomplemented
212#2428C2214yescomplemented
213#2427C2212yescomplemented
214#2427C2212yescomplemented
215#2427C2212yescomplemented
216#2426C2212yescomplemented
217#2424C2214yes—
218#2424C2214yescomplemented
219#2424C2214yescomplemented
220#2423C2212yescomplemented
221#2422C2212yes—
222#2422C2212yes—
223#2421C2212yescomplemented
224#2420C2211yescharacteristic
225#2420C2212yescomplemented
226#2420C2212yescomplemented
227#2420C2212yescomplemented
228#2417C2212yescomplemented
229#2416C2212yes—
230#2416C2212yescomplemented
231#2416C2212yescomplemented
232#2416C2212yescomplemented
233#2415C2212yescomplemented
234#2414C2212yes—
235#2414C2212yescomplemented
236#2414C2212yescomplemented
237#2414C2212yescomplemented
238#2414C2212yescomplemented
239#2414C2212yescomplemented
240#2414C2214yescomplemented
241#2414C2212yescomplemented
242#2414C2214yescomplemented
243#2412C2214yescomplemented
244#2408C2212yes—
245#2408C2212yes—
246#2408C2212yes—
247#2407C2212yes—
248#2407C2212yes—
249#2407C2212yes—
250#2407C2212yescomplemented
251#2407C2212yescomplemented
252#2407C2212yescomplemented
253#2395C2212yescomplemented
254#2392C2212yescomplemented
255#2388C2212yescomplemented
256#2388C2212yescomplemented
257#2377C2214yescomplemented
258#2366C2212yescomplemented
259#2362C2212yescomplemented
260#2361C2212yes—
261#2360C2212yescomplemented
262#2358C2214yescomplemented
263#2355C2212yescomplemented
264#2354C2211yescharacteristic
265#2354C2211yescharacteristic, complemented
266#2352C2212yescomplemented
267Q8×C4⋊C4C2211yescharacteristic, complemented
268D4×C4⋊C4C2211yescharacteristic, complemented
269D4×C4⋊C4C2212yescomplemented
270#2344C2212yescomplemented
271#2341C2212yescomplemented
272D4×C22⋊C4C2212yes—
273#2324C2212yescomplemented
274#2324C2214yescomplemented
275#2321C2214yescomplemented
276#2319C2212yescomplemented
277#2314C2212yescomplemented
278#2311C2212yescomplemented
279C4×C4⋊Q8C2211yescharacteristic, complemented
280C4×#127C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#127C2211yescharacteristic, complemented
284C4×#125C2211yescharacteristic, complemented
285C4×#124C2211yescharacteristic
286C4×#124C2211yescharacteristic, complemented
287C4×#123C2212yescomplemented
288C4×#121C2211yescharacteristic
289C4×#121C2212yescomplemented
290C4×#121C2212yescomplemented
291C4×#121C2211yescharacteristic, complemented
292C4×#121C2212yescomplemented
293C4×#121C2212yescomplemented
294#2297C2212yes—
295#2293C2211yescharacteristic, complemented
296C2×#390C2212yes—
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306#553—48no—
307#550—44no—
308#550—48no—
309#550—48no—
310#547—44no—
311#547—44no—
312#546—48no—
313#546—48no—
314#546—48no—
315D42—44no—
316#537—48no—
317#535—48no—
318#532—44no—
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2311yescharacteristic
321C2×#127C2311yescharacteristic
322C2×#127C2311yescharacteristic
323C2×#127C2311yescharacteristic
324C2×#127C2311yescharacteristic
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2314yes—
329C2×#127C2314yes—
330C2×#127C2314yes—
331C2×#127C2311yescharacteristic
332#529—48no—
333C2×#126C2314yes—
334C2×#126C2314yes—
335C2×#125C2311yescharacteristic
336C2×#125C2312yes—
337C2×#124C2311yescharacteristic
338C2×#124C2311yescharacteristic
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2312yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2314yes—
358C2×#121C2312yes—
359C2×#121C2311yescharacteristic
360C2×#121C2312yes—
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2314yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2312yes—
385C2×#121C2311yescharacteristic
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2312yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#121C2312yes—
396C2×#121C2311yescharacteristic
397C2×#121C2312yes—
398C2×#120C2314yes—
399C2×#120C2314yes—
400C2×#120C2314yes—
401C2×#120C2314yes—
402C2×#120C2314yes—
403C2×#120C2314yes—
404C2×#120C2314yes—
405C2×#120C2314yes—
406C4×#41—44no—
407C2×C4×Q8C2311yescharacteristic
408C2×C4×Q8C2312yes—
409C2×C4×Q8C2312yes—
410C2×C4×Q8C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2311yescharacteristic
428C2×C4×D4C2314yes—
429C2×C4×D4C2314yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2314yes—
434C2×C4×D4C2314yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×#117C2312yes—
440C2×#117C2311yescharacteristic
441C2×#117C2314yes—
442C2×#117C2311yescharacteristic
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C2×#117C2311yescharacteristic
447C22×C4⋊C4C2312yes—
448C22×C4⋊C4C2312yes—
449C22×C4⋊C4C2312yes—
450C22×C22⋊C4C2314yes—
451C22×C22⋊C4C2314yes—
452C22×C22⋊C4C2314yes—
453C22×C42C2311yescharacteristic
454C22×C42C2312yes—
455C22×C42C2312yes—
456#400C2314yes—
457#400C2314yes—
458#400C2312yes—
459#400C2314yes—
460#399C2314yes—
461#399C2314yes—
462#399C2314yes—
463#399C2314yes—
464#399C2312yes—
465#399C2314yes—
466#398C2314yes—
467#398C2312yes—
468#398C2312yes—
469#398C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2312yes—
486#397C2312yes—
487#397C2312yes—
488#397C2312yes—
489#397C2314yes—
490#396C2312yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2312yes—
496#396C2314yes—
497#396C2314yes—
498#395C2312yes—
499#395C2312yes—
500#395C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2312yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2312yes—
512#394C2314yes—
513#394C2312yes—
514#394C2312yes—
515#394C2314yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2312yes—
525#394C2314yes—
526#394C2314yes—
527#394C2312yes—
528#394C2312yes—
529#394C2314yes—
530#394C2312yes—
531#394C2312yes—
532#394C2312yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#393C2312yes—
541#393C2312yes—
542#393C2314yes—
543#392C2312yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2312yes—
550#392C2314yes—
551#392C2312yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2312yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2312yes—
563#392C2312yes—
564#392C2312yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#391C2312yes—
577#391C2311yescharacteristic
578#391C2312yes—
579#391C2311yescharacteristic
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#390C2311yescharacteristic
584#390C2311yescharacteristic
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2311yescharacteristic
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2311yescharacteristic
594#390C2311yescharacteristic
595#390C2312yes—
596#390C2312yes—
597#390C2311yescharacteristic
598#390C2312yes—
599#390C2312yes—
600#390C2314yes—
601#390C2314yes—
602#390C2314yes—
603#390C2312yes—
604#390C2312yes—
605#390C2314yes—
606#390C2314yes—
607#390C2314yes—
608#390C2312yes—
609#390C2314yes—
610#390C2314yes—
611#390C2312yes—
612#390C2312yes—
613#390C2314yes—
614#390C2312yes—
615#390C2314yes—
616#390C2312yes—
617#390C2312yes—
618#390C2311yescharacteristic
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2311yescharacteristic
623#390C2312yes—
624#390C2314yes—
625#390C2311yescharacteristic
626#390C2311yescharacteristic
627#390C2311yescharacteristic
628#390C2311yescharacteristic
629#390C2314yes—
630#390C2312yes—
631#390C2312yes—
632#390C2314yes—
633#389C2311yescharacteristic
634#389C2311yescharacteristic
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2314yes—
646#389C2311yescharacteristic
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2314yes—
652#389C2314yes—
653#389C2311yescharacteristic
654#389C2311yescharacteristic
655#389C2311yescharacteristic
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2314yes—
682#388C2312yes—
683#388C2312yes—
684#388C2314yes—
685#388C2312yes—
686#388C2312yes—
687#388C2312yes—
688#388C2312yes—
689#388C2312yes—
690#387C2312yes—
691#387C2312yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2312yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2312yes—
705#386C2314yes—
706#386C2314yes—
707#386C2312yes—
708#386C2314yes—
709#386C2314yes—
710#386C2312yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2312yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2312yes—
734#386C2312yes—
735#386C2312yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2312yes—
746#385C2314yes—
747#384C2311yescharacteristic
748#384C2311yescharacteristic
749#384C2311yescharacteristic
750#384C2311yescharacteristic
751#384C2311yescharacteristic
752#384C2312yes—
753#384C2312yes—
754#382C2311yescharacteristic
755#382C2311yescharacteristic
756#382C2311yescharacteristic
757#382C2312yes—
758#382C2312yes—
759#382C2314yes—
760#381C2314yes—
761#381C2314yes—
762#381C2314yes—
763#381C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2314yes—
767#380C2314yes—
768#380C2312yes—
769#380C2312yes—
770#380C2314yes—
771#380C2312yes—
772#380C2314yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2314yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2311yescharacteristic
783#380C2311yescharacteristic
784#380C2312yes—
785#380C2312yes—
786#379C2314yes—
787#379C2314yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2314yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821#376C2311yescharacteristic
822#376C2311yescharacteristic
823C43C2311yescharacteristic
824C43C2311yescharacteristic
825C25C2414yes—
826C2×#41—24no—
827C2×#41—28no—
828C2×#41—28no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—42no—
833C2×#41—42no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41—44no—
838C2×#41—44no—
839C2×#41—44no—
840C2×#41—44no—
841C22×Q8C2412yes—
842C22×Q8C2411yescharacteristic
843C22×Q8C2412yes—
844C22×D4—28no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4C2411yescharacteristic
851C22×D4C2412yes—
852C22×D4C2411yescharacteristic
853C22×D4C2411yescharacteristic
854C22×D4C2411yescharacteristic
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2411yescharacteristic
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2414yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2414yes—
873C22×D4C2412yes—
874C22×D4C2414yes—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2414yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C22×D4C2414yes—
884C22×D4C2412yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2412yes—
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2411yescharacteristic
892C23×C4C2411yescharacteristic
893C23×C4C2414yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2414yes—
897C23×C4C2414yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2414yes—
901C23×C4C2414yes—
902C4⋊Q8—24no—
903C4⋊Q8—42no—
904#127—24no—
905#127—24no—
906#127—42no—
907#127—44no—
908#127—42no—
909#127—42no—
910#127—44no—
911#127—44no—
912#127—48no—
913#127—48no—
914#127—48no—
915#126—48no—
916#126—48no—
917#125—24no—
918#125—44no—
919#124—24no—
920#124—24no—
921#124—44no—
922#124—44no—
923#124—44no—
924#124—48no—
925#123—44no—
926#123—48no—
927#123—48no—
928#123—48no—
929#123—48no—
930#123—48no—
931#123—48no—
932#123—48no—
933C22⋊Q8—28no—
934C22⋊Q8—28no—
935C22⋊Q8—48no—
936C22⋊Q8—44no—
937C22⋊Q8—44no—
938C22⋊Q8—44no—
939C22⋊Q8—44no—
940#121—24no—
941#121—28no—
942#121—24no—
943#121—28no—
944#121—44no—
945#121—48no—
946#121—44no—
947#121—48no—
948#121—44no—
949#121—48no—
950#121—44no—
951#121—48no—
952#121—48no—
953#121—48no—
954#121—48no—
955#121—44no—
956#121—44no—
957#121—42no—
958#121—42no—
959#121—44no—
960#121—44no—
961#121—44no—
962#121—48no—
963#121—44no—
964#121—44no—
965#121—44no—
966#121—44no—
967#121—48no—
968#121—44no—
969#121—44no—
970#121—44no—
971#121—44no—
972#121—44no—
973#121—44no—
974#121—48no—
975#121—48no—
976#121—48no—
977#121—44no—
978#121—48no—
979#121—48no—
980#120—48no—
981#120—48no—
982#120—48no—
983#120—48no—
984#120—48no—
985#120—48no—
986#120—48no—
987#120—48no—
988C4×Q8—28no—
989C4×Q8—24no—
990C4×Q8—42no—
991C4×Q8—44no—
992C4×D4—24no—
993C4×D4—24no—
994C4×D4—24no—
995C4×D4—24no—
996C4×D4—24no—
997C4×D4—24no—
998C4×D4—24no—
999C4×D4—44no—
1000C4×D4—48no—
1001C4×D4—42no—
1002C4×D4—44no—
1003C4×D4—44no—
1004C4×D4—44no—
1005C4×D4—44no—
1006C4×D4—44no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—44no—
1012C4×D4—44no—
1013C4×D4—44no—
1014C4×D4—48no—
1015C4×D4—44no—
1016C4×D4—44no—
1017C4×D4—44no—
1018C4×D4—48no—
1019C4×D4—48no—
1020#117—44no—
1021#117—42no—
1022#117—44no—
1023#117—48no—
1024#117—42no—
1025#117—42no—
1026#117—44no—
1027#117—44no—
1028C2×C4⋊C4—28no—
1029C2×C4⋊C4—44no—
1030C2×C4⋊C4—44no—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2411yescharacteristic
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C22⋊C4—48no—
1083C2×C22⋊C4—48no—
1084C2×C22⋊C4—48no—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2411yescharacteristic
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C22⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C42—24no—
1167C2×C42—44no—
1168C2×C42—44no—
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2414yes—
1172C2×C42C2411yescharacteristic
1173C2×C42C2412yes—
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2412yes—
1180C2×C42C2412yes—
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184C2×C42C2411yescharacteristic
1185C2×C42C2412yes—
1186C2×C42C2412yes—
1187C2×C42C2414yes—
1188C2×C42C2414yes—
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2414yes—
1193C2×C42C2412yes—
1194C2×C42C2412yes—
1195C2×C42C2411yescharacteristic
1196#95C2411yescharacteristic
1197#95C2411yescharacteristic
1198#95C2411yescharacteristic
1199#95C2411yescharacteristic
1200#95C2411yescharacteristic
1201#95C2411yescharacteristic
1202#95C2411yescharacteristic
1203#95C2411yescharacteristic
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2414yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2414yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2412yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240#95C2414yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244C24—28no—
1245C24—44no—
1246C24—44no—
1247C24—44no—
1248C24—44no—
1249C24—44no—
1250C24—44no—
1251C24C2512yes—
1252C24C2514yes—
1253C24C2512yes—
1254C24C2512yes—
1255C24C2512yes—
1256C24C2511yescharacteristic
1257C24C2512yes—
1258#41—416no—
1259#41—816no—
1260#41—816no—
1261#41—816no—
1262#41—816no—
1263C2×Q8—22no—
1264C2×Q8—24no—
1265C2×Q8—24no—
1266C2×Q8—24no—
1267C2×Q8—22no—
1268C2×Q8—42no—
1269C2×Q8—42no—
1270C2×Q8—42no—
1271C2×Q8H(5,𝔽2)14yes—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—28no—
1275C2×D4—28no—
1276C2×D4—24no—
1277C2×D4—28no—
1278C2×D4—22no—
1279C2×D4—22no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—22no—
1289C2×D4—24no—
1290C2×D4—22no—
1291C2×D4—24no—
1292C2×D4—22no—
1293C2×D4—24no—
1294C2×D4—22no—
1295C2×D4—24no—
1296C2×D4—28no—
1297C2×D4—28no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—22no—
1303C2×D4—24no—
1304C2×D4—24no—
1305C2×D4—24no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—42no—
1316C2×D4—44no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—44no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—42no—
1343C2×D4—44no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—44no—
1354C2×D4—42no—
1355C2×D4—42no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—816no—
1377C2×D4—816no—
1378C2×D4H(5,𝔽2)14yes—
1379C22×C4—24no—
1380C22×C4—28no—
1381C22×C4—22no—
1382C22×C4—22no—
1383C22×C4—22no—
1384C22×C4—24no—
1385C22×C4—24no—
1386C22×C4—24no—
1387C22×C4—24no—
1388C22×C4—24no—
1389C22×C4—24no—
1390C22×C4—24no—
1391C22×C4—24no—
1392C22×C4—24no—
1393C22×C4—24no—
1394C22×C4—22no—
1395C22×C4—24no—
1396C22×C4—24no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—22no—
1400C22×C4—22no—
1401C22×C4—24no—
1402C22×C4—22no—
1403C22×C4—24no—
1404C22×C4—22no—
1405C22×C4—24no—
1406C22×C4—28no—
1407C22×C4—28no—
1408C22×C4—24no—
1409C22×C4—42no—
1410C22×C4—41no—
1411C22×C4—42no—
1412C22×C4—42no—
1413C22×C4—42no—
1414C22×C4—42no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—42no—
1423C22×C4—42no—
1424C22×C4—44no—
1425C22×C4—42no—
1426C22×C4—44no—
1427C22×C4—44no—
1428C22×C4—44no—
1429C22×C4—44no—
1430C22×C4C2512yes—
1431C22×C4C2512yes—
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C22×C4C2512yes—
1436C22×C4C2511yescharacteristic
1437C22×C4C2511yescharacteristic
1438C22×C4C2514yes—
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2511yescharacteristic
1442C22×C4C2512yes—
1443C22×C4C2514yes—
1444C22×C4C2514yes—
1445C22×C4C2512yes—
1446C22×C4C2512yes—
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2512yes—
1451C22×C4C2512yes—
1452C22×C4C2512yes—
1453C22×C4C2511yescharacteristic
1454C22×C4C2511yescharacteristic
1455C22×C4C2511yescharacteristic
1456C22×C4C2511yescharacteristic
1457C22×C4C2511yescharacteristic
1458C4⋊C4—24no—
1459C4⋊C4—28no—
1460C4⋊C4—22no—
1461C4⋊C4—22no—
1462C4⋊C4—24no—
1463C4⋊C4—22no—
1464C4⋊C4—22no—
1465C4⋊C4—24no—
1466C4⋊C4—22no—
1467C4⋊C4—24no—
1468C4⋊C4—28no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—22no—
1472C4⋊C4—22no—
1473C4⋊C4—24no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—28no—
1477C4⋊C4—28no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—22no—
1481C4⋊C4—22no—
1482C4⋊C4—22no—
1483C4⋊C4—24no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—41no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—42no—
1490C4⋊C4—44no—
1491C4⋊C4—42no—
1492C4⋊C4—42no—
1493C4⋊C4—42no—
1494C4⋊C4—42no—
1495C4⋊C4—42no—
1496C4⋊C4—42no—
1497C4⋊C4—42no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
1500C4⋊C4—44no—
1501C4⋊C4—42no—
1502C4⋊C4—44no—
1503C4⋊C4—42no—
1504C4⋊C4—44no—
1505C4⋊C4—44no—
1506C4⋊C4—44no—
1507C4⋊C4—42no—
1508C4⋊C4H(5,𝔽2)14yes—
1509C22⋊C4—24no—
1510C22⋊C4—28no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—28no—
1514C22⋊C4—28no—
1515C22⋊C4—28no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—24no—
1523C22⋊C4—24no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—22no—
1527C22⋊C4—28no—
1528C22⋊C4—24no—
1529C22⋊C4—24no—
1530C22⋊C4—28no—
1531C22⋊C4—24no—
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—42no—
1542C22⋊C4—41no—
1543C22⋊C4—41no—
1544C22⋊C4—41no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—42no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—44no—
1570C22⋊C4—42no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—44no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—42no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—42no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—42no—
1590C42—22no—
1591C42—22no—
1592C42—22no—
1593C42—22no—
1594C42—24no—
1595C42—24no—
1596C42—28no—
1597C42—22no—
1598C42—22no—
1599C42—22no—
1600C42—22no—
1601C42—22no—
1602C42—22no—
1603C42—22no—
1604C42—24no—
1605C42—22no—
1606C42—42no—
1607C42—42no—
1608C42—42no—
1609C42—42no—
1610C42—41no—
1611C42—41no—
1612C42—41no—
1613C42—44no—
1614C42—44no—
1615C42—44no—
1616C42H(5,𝔽2)14yes—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—22no—
1621C23—22no—
1622C23—22no—
1623C23—22no—
1624C23—22no—
1625C23—22no—
1626C23—24no—
1627C23—22no—
1628C23—22no—
1629C23—22no—
1630C23—22no—
1631C23—22no—
1632C23—22no—
1633C23—24no—
1634C23—21no—
1635C23—22no—
1636C23—21no—
1637C23—24no—
1638C23—22no—
1639C23—21no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—24no—
1644C23—22no—
1645C23—22no—
1646C23—21no—
1647C23—21no—
1648C23—22no—
1649C23—24no—
1650C23—24no—
1651C23—22no—
1652C23—22no—
1653C23—22no—
1654C23—21no—
1655C23—21no—
1656C23—22no—
1657C23—22no—
1658C23—22no—
1659C23—22no—
1660C23—22no—
1661C23—22no—
1662C23—24no—
1663C23—22no—
1664C23—22no—
1665C23—88no—
1666C23—88no—
1667C23—88no—
1668C23—88no—
1669C23—88no—
1670C23—164no—
1671C23—164no—
1672C23C2×H(5,𝔽2)14yes—
1673C23C2611yescharacteristic
1674Q8—28no—
1675Q8—48no—
1676Q8—84no—
1677D4—28no—
1678D4—48no—
1679D4—48no—
1680D4—44no—
1681D4—44no—
1682D4—48no—
1683D4—44no—
1684D4—48no—
1685D4—44no—
1686D4—88no—
1687D4—84no—
1688D4—84no—
1689D4—84no—
1690D4—84no—
1691D4—88no—
1692D4—84no—
1693D4—88no—
1694D4—84no—
1695D4—88no—
1696D4—88no—
1697D4—84no—
1698D4—84no—
1699D4—88no—
1700D4—84no—
1701D4—88no—
1702D4—84no—
1703D4—84no—
1704D4—84no—
1705D4—88no—
1706D4—164no—
1707D4—164no—
1708D4—164no—
1709D4—164no—
1710D4—164no—
1711D4—164no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—24no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—24no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—24no—
1746C2×C4—24no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—24no—
1754C2×C4—22no—
1755C2×C4—24no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—24no—
1763C2×C4—21no—
1764C2×C4—22no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—22no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—24no—
1778C2×C4—24no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—21no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—44no—
1786C2×C4—48no—
1787C2×C4—48no—
1788C2×C4—44no—
1789C2×C4—48no—
1790C2×C4—48no—
1791C2×C4—48no—
1792C2×C4—48no—
1793C2×C4—44no—
1794C2×C4—84no—
1795C2×C4—88no—
1796C2×C4—84no—
1797C2×C4—88no—
1798C2×C4—84no—
1799C2×C4—88no—
1800C2×C4—88no—
1801C2×C4—164no—
1802C2×C4C2×H(5,𝔽2)14yes—
1803C2×C4C2×H(5,𝔽2)12yes—
1804C2×C4C2×H(5,𝔽2)14yes—
1805C2×C4C2×H(5,𝔽2)12yes—
1806C2×C4C2×H(5,𝔽2)12yes—
1807C2×C4C2×H(5,𝔽2)12yes—
1808C2×C4C2×H(5,𝔽2)12yes—
1809C2×C4C2×H(5,𝔽2)12yes—
1810C2×C4#58512yes—
1811C2×C4#58512yes—
1812C2×C4#58512yes—
1813C22—24no—
1814C22—24no—
1815C22—24no—
1816C22—42no—
1817C22—42no—
1818C22—42no—
1819C22—42no—
1820C22—42no—
1821C22—41no—
1822C22—42no—
1823C22—42no—
1824C22—42no—
1825C22—44no—
1826C22—42no—
1827C22—44no—
1828C22—41no—
1829C22—42no—
1830C22—42no—
1831C22—42no—
1832C22—42no—
1833C22—42no—
1834C22—41no—
1835C22—44no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—41no—
1841C22—42no—
1842C22—42no—
1843C22—44no—
1844C22—42no—
1845C22—42no—
1846C22—44no—
1847C22—42no—
1848C22—42no—
1849C22—41no—
1850C22—41no—
1851C22—42no—
1852C22—44no—
1853C22—42no—
1854C22—42no—
1855C22—42no—
1856C22—42no—
1857C22—41no—
1858C22—42no—
1859C22—44no—
1860C22—42no—
1861C22—42no—
1862C22—1616no—
1863C22C22×H(5,𝔽2)11yescharacteristic
1864C22C22×H(5,𝔽2)11yescharacteristic
1865C22C22×H(5,𝔽2)11yescharacteristic
1866C22C22×H(5,𝔽2)11yescharacteristic
1867C22C2×#58511yescharacteristic
1868C22C2×#58511yescharacteristic
1869C22C2×#58511yescharacteristic
1870C4—24no—
1871C4—22no—
1872C4—22no—
1873C4—22no—
1874C4—24no—
1875C4—42no—
1876C4—42no—
1877C4—42no—
1878C4—41no—
1879C4—44no—
1880C4—41no—
1881C4—41no—
1882C4—44no—
1883C4—42no—
1884C4—41no—
1885C4—41no—
1886C4—44no—
1887C4—41no—
1888C4—42no—
1889C4—41no—
1890C4—41no—
1891C4—42no—
1892C4—42no—
1893C4—41no—
1894C4—42no—
1895C4—42no—
1896C4#354214yes—
1897C4#354314yes—
1898C2—44no—
1899C2—82no—
1900C2—81no—
1901C2—82no—
1902C2—82no—
1903C2—84no—
1904C2—82no—
1905C2C2×#354211yescharacteristic
1906C2C2×#354311yescharacteristic
1907C2#6283011yescharacteristic
1908C2#6301411yescharacteristic
1909C2#6301411yescharacteristic
1910C2#6301811yescharacteristic
1911C2#6302211yescharacteristic
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. #59815C2semidirect
2. #59812C2semidirect
3. #59680C2semidirect
4. #59451C2semidirect
5. #59412C2semidirect
6. #59046C2semidirect
7. #57426C2semidirect
8. #54845C2semidirect
9. #53044C2semidirect
10. #52969C2semidirect
11. #49982C2semidirect
12. #47572C2semidirect
13. #45602C2semidirect
14. #45518C2semidirect
15. #44920C2semidirect
16. #44886C2semidirect
17. #42951C2semidirect
18. #42468C2semidirect
19. #42433C2semidirect
20. #42432C2semidirect
21. #40175C2semidirect
22. #39957C2semidirect
23. #39507C2semidirect
24. #39342C2semidirect
25. #39340C2semidirect
26. #39189C2semidirect
27. #39138C2semidirect
28. #38956C2semidirect
29. #36455C2semidirect
30. #36404C2semidirect
31. #36260C2semidirect
32. #36114C2semidirect
33. #35288C2semidirect
34. #34977C2semidirect
35. #34970C2semidirect
36. C2×#553C22semidirect
39. C2×#550C22semidirect
41. C2×#547C22semidirect
46. C2×#537C22semidirect
49. C2×#529C22semidirect
50. C2×C4×#41C22semidirect
51. #2859C22semidirect
53. #2857C22semidirect
56. #2856C22semidirect
57. #2855C22semidirect
58. #2851C22semidirect
59. #2830C22semidirect
60. #2829C22semidirect
61. #2828C22semidirect
62. #2815C22semidirect
63. #2815C22semidirect
64. #2813C22semidirect
65. #2812C22semidirect
66. #2803C22semidirect
67. #2803C22semidirect
68. #2803C22semidirect
69. #2800C22semidirect
70. #2797C22semidirect
71. #2796C22semidirect
72. #2773C22semidirect
73. #2752C22semidirect
74. #2742C22semidirect
75. #2740C22semidirect
76. #2740C22semidirect
77. #2723C22semidirect
78. #2717C22semidirect
79. #2714C22semidirect
80. #2714C22semidirect
81. #2714C22semidirect
82. #2714C22semidirect
83. #2714C22semidirect
84. #2709C22semidirect
85. #2708C22semidirect
86. #2705C22semidirect
87. #2703C22semidirect
88. #2703C22semidirect
89. #2699C22semidirect
90. #2696C22semidirect
91. #2688C22semidirect
92. #2686C22semidirect
93. #2682C22semidirect
95. #2676C22semidirect
96. #2673C22semidirect
97. #2673C22semidirect
98. #2673C22semidirect
99. #2673C22semidirect
100. #2672C22semidirect
101. #2671C22semidirect
102. #2671C22semidirect
105. #2669C22semidirect
106. #2669C22semidirect
107. #2669C22semidirect
108. #2668C22semidirect
109. #2668C22semidirect
110. #2661C22semidirect
111. #2644C22semidirect
112. #2635C22semidirect
113. #2630C22semidirect
114. #2624C22semidirect
115. #2622C22semidirect
117. #2619C22semidirect
118. #2619C22semidirect
119. #2617C22semidirect
120. #2616C22semidirect
122. #2610C22semidirect
123. #2610C22semidirect
124. #2602C22semidirect
125. #2596C22semidirect
126. #2570C22semidirect
127. #2568C22semidirect
128. #2567C22semidirect
129. #2563C22semidirect
130. #2553C22semidirect
137. #2541C22semidirect
138. #2541C22semidirect
139. #2541C22semidirect
140. #2541C22semidirect
145. #2539C22semidirect
147. #2538C22semidirect
150. #2537C22semidirect
151. #2537C22semidirect
152. #2537C22semidirect
154. #2535C22semidirect
155. #2535C22semidirect
156. #2534C22semidirect
157. #2531C22semidirect
158. #2526C22semidirect
159. #2522C22semidirect
161. #2513C22semidirect
162. #2513C22semidirect
163. #2512C22semidirect
164. #2507C22semidirect
165. #2504C22semidirect
168. #2500C22semidirect
169. #2499C22semidirect
170. #2497C22semidirect
171. #2496C22semidirect
174. #2490C22semidirect
175. #2490C22semidirect
176. #2490C22semidirect
177. #2489C22semidirect
178. #2485C22semidirect
179. #2485C22semidirect
180. #2480C22semidirect
181. #2476C22semidirect
182. #2471C22semidirect
183. #2471C22semidirect
184. #2470C22semidirect
185. #2470C22semidirect
186. #2466C22semidirect
187. #2461C22semidirect
188. #2457C22semidirect
189. #2457C22semidirect
190. #2456C22semidirect
192. #2454C22semidirect
194. #2448C22semidirect
195. #2447C22semidirect
197. #2445C22semidirect
198. #2445C22semidirect
199. #2440C22semidirect
204. #2431C22semidirect
205. #2431C22semidirect
206. #2431C22semidirect
207. #2431C22semidirect
211. #2428C22semidirect
212. #2428C22semidirect
213. #2427C22semidirect
214. #2427C22semidirect
215. #2427C22semidirect
216. #2426C22semidirect
218. #2424C22semidirect
219. #2424C22semidirect
220. #2423C22semidirect
223. #2421C22semidirect
225. #2420C22semidirect
226. #2420C22semidirect
227. #2420C22semidirect
228. #2417C22semidirect
230. #2416C22semidirect
231. #2416C22semidirect
232. #2416C22semidirect
233. #2415C22semidirect
235. #2414C22semidirect
236. #2414C22semidirect
237. #2414C22semidirect
238. #2414C22semidirect
239. #2414C22semidirect
240. #2414C22semidirect
241. #2414C22semidirect
242. #2414C22semidirect
243. #2412C22semidirect
250. #2407C22semidirect
251. #2407C22semidirect
252. #2407C22semidirect
253. #2395C22semidirect
254. #2392C22semidirect
255. #2388C22semidirect
256. #2388C22semidirect
257. #2377C22semidirect
258. #2366C22semidirect
259. #2362C22semidirect
261. #2360C22semidirect
262. #2358C22semidirect
263. #2355C22semidirect
265. #2354C22semidirect
266. #2352C22semidirect
267. Q8×C4⋊C4C22semidirect
268. D4×C4⋊C4C22semidirect
269. D4×C4⋊C4C22semidirect
270. #2344C22semidirect
271. #2341C22semidirect
273. #2324C22semidirect
274. #2324C22semidirect
275. #2321C22semidirect
276. #2319C22semidirect
277. #2314C22semidirect
278. #2311C22semidirect
279. C4×C4⋊Q8C22semidirect
283. C4×#127C22semidirect
284. C4×#125C22semidirect
286. C4×#124C22semidirect
287. C4×#123C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. C4×#121C22semidirect
293. C4×#121C22semidirect
295. #2293C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#598152
#598122
#596802
#594512
#594122
#590462
#574262
#548452
#530442
#529692
#499822
#475722
#456022
#455182
#449202
#448862
#429512
#424682
#424332
#424322
#401752
#399572
#395072
#393422
#393402
#391892
#391382
#389562
#364552
#364042
#362602
#361142
#352882
#349772
#349702