Finite Group Databasebeta

← #7986090

Subgroups — #7986090

Order 512.

5398 conjugacy classes of subgroups.

The subgroup lattice has 1773 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59843C212yesmaximal, complemented
2#59823C211yesmaximal, characteristic, complemented
3#59476C212yesmaximal, complemented
4#59124C211yesmaximal, characteristic, complemented
5#59039C211yesmaximal, characteristic, complemented
6#49109C214yesmaximal, complemented
7#48916C214yesmaximal, complemented
8#45817C214yesmaximal, complemented
9#45042C212yesmaximal, complemented
10#45033C212yesmaximal, complemented
11#45010C212yesmaximal, complemented
12#45006C212yesmaximal, complemented
13#42739C212yesmaximal, complemented
14#42732C212yesmaximal, complemented
15#42586C212yesmaximal, complemented
16#42581C212yesmaximal, complemented
17#39201C211yesmaximal, characteristic, complemented
18#39157C211yesmaximal, characteristic, complemented
19#38985C211yesmaximal, characteristic, complemented
20#38932C211yesmaximal, characteristic, complemented
21#38252C212yesmaximal, complemented
22#38228C212yesmaximal, complemented
23#38086C214yesmaximal, complemented
24#36472C211yesmaximal, characteristic, complemented
25#36302C211yesmaximal, characteristic, complemented
26#36240C212yesmaximal, complemented
27#36238C212yesmaximal, complemented
28#36121C211yesmaximal, characteristic, complemented
29#35215C212yesmaximal, complemented
30#35197C212yesmaximal, complemented
31#34803C211yesmaximal, characteristic, complemented
32#34800C211yesmaximal, characteristic, complemented
33#34494C211yesmaximal, characteristic, complemented
34#34364C211yesmaximal, characteristic, complemented
35#34155C211yesmaximal, characteristic, complemented
36C2×#554C2212yescomplemented
37C2×#553C2212yescomplemented
38C2×#551C2214yes—
39C2×#550C2211yescharacteristic
40C2×#546C2212yes—
41C2×#546C2212yes—
42C2×#532C2211yescharacteristic
43C22×#127C2211yescharacteristic
44#2861C2212yescomplemented
45#2860C2212yescomplemented
46#2858C2211yescharacteristic
47#2857C2211yescharacteristic
48#2856C2211yescharacteristic
49#2854C2214yescomplemented
50#2852C2214yescomplemented
51#2850C2214yescomplemented
52#2826C2214yescomplemented
53#2825C2214yescomplemented
54#2778C2214yescomplemented
55#2778C2214yescomplemented
56#2764C2214yescomplemented
57#2762C2214yescomplemented
58#2750C2214yescomplemented
59#2749C2214yescomplemented
60#2746C2214yescomplemented
61#2743C2214yescomplemented
62#2741C2214yescomplemented
63#2732C2214yescomplemented
64#2728C2214yescomplemented
65#2715C2214yescomplemented
66#2714C2214yescomplemented
67#2712C2214yescomplemented
68#2710C2214yescomplemented
69#2706C2214yescomplemented
70#2703C2214yescomplemented
71#2702C2214yescomplemented
72#2700C2214yescomplemented
73#2697C2214yes—
74#2696C2214yescomplemented
75#2696C2214yescomplemented
76#2695C2214yescomplemented
77#2689C2214yes—
78#2688C2214yescomplemented
79#2687C2214yes—
80#2686C2214yescomplemented
81#2685C2214yes—
82#2685C2214yes—
83#2681C2214yescomplemented
84#2678C2214yes—
85#2676C2214yescomplemented
86#2673C2214yes—
87#2649C2214yescomplemented
88#2648C2214yescomplemented
89#2648C2214yescomplemented
90#2648C2214yescomplemented
91#2647C2212yescomplemented
92#2645C2212yescomplemented
93#2644C2212yescomplemented
94#2639C2214yescomplemented
95#2624C2212yescomplemented
96#2617C2214yes—
97#2609C2214yescomplemented
98#2603C2214yescomplemented
99#2598C2214yescomplemented
100#2592C2212yescomplemented
101#2591C2214yescomplemented
102#2580C2212yescomplemented
103#2578C2214yescomplemented
104#2571C2212yescomplemented
105#2567C2211yescharacteristic, complemented
106#2563C2211yescharacteristic, complemented
107#2562C2212yes—
108#2561C2214yes—
109#2559C2214yescomplemented
110#2552C2211yescharacteristic, complemented
111#2552C2211yescharacteristic, complemented
112#2548C2211yescharacteristic
113#2548C2212yescomplemented
114#2544C2212yes—
115#2542C2212yescomplemented
116#2541C2211yescharacteristic
117#2541C2212yes—
118#2538C2212yescomplemented
119#2538C2212yescomplemented
120#2538C2212yescomplemented
121#2538C2212yescomplemented
122#2537C2212yescomplemented
123#2533C2212yescomplemented
124#2532C2212yescomplemented
125#2531C2214yescomplemented
126#2527C2212yes—
127#2526C2212yes—
128#2523C2212yescomplemented
129#2518C2212yescomplemented
130#2514C2211yescharacteristic, complemented
131#2513C2212yescomplemented
132#2513C2211yescharacteristic, complemented
133#2513C2212yescomplemented
134#2512C2212yescomplemented
135#2512C2212yescomplemented
136#2510C2214yescomplemented
137#2510C2214yescomplemented
138#2509C2212yescomplemented
139#2509C2211yescharacteristic, complemented
140#2508C2211yescharacteristic, complemented
141#2500C2212yescomplemented
142#2500C2211yescharacteristic, complemented
143#2499C2211yescharacteristic, complemented
144#2498C2214yescomplemented
145#2497C2211yescharacteristic
146#2496C2212yes—
147#2496C2212yes—
148#2496C2211yescharacteristic
149#2495C2212yes—
150#2495C2212yescomplemented
151#2494C2212yes—
152#2492C2211yescharacteristic
153#2491C2211yescharacteristic
154#2491C2212yescomplemented
155#2490C2212yescomplemented
156#2490C2212yescomplemented
157#2489C2212yes—
158#2488C2214yescomplemented
159#2488C2214yescomplemented
160#2486C2212yes—
161#2485C2211yescharacteristic
162#2485C2211yescharacteristic
163#2481C2214yescomplemented
164#2480C2214yes—
165#2480C2214yes—
166#2480C2214yes—
167#2480C2214yes—
168#2476C2214yescomplemented
169#2472C2214yes—
170#2472C2214yes—
171#2471C2214yescomplemented
172#2470C2214yescomplemented
173#2466C2212yes—
174#2464C2214yescomplemented
175#2463C2214yescomplemented
176#2459C2212yes—
177#2457C2214yescomplemented
178#2457C2214yescomplemented
179#2457C2214yescomplemented
180#2454C2212yescomplemented
181#2454C2212yescomplemented
182#2452C2212yescomplemented
183#2447C2212yescomplemented
184#2445C2212yes—
185#2445C2212yes—
186#2445C2212yes—
187#2445C2212yescomplemented
188#2445C2212yescomplemented
189#2442C2212yescomplemented
190#2439C2211yescharacteristic, complemented
191#2439C2211yescharacteristic, complemented
192#2435C2212yes—
193#2433C2212yes—
194#2431C2212yes—
195#2431C2212yes—
196#2430C2214yescomplemented
197#2428C2212yes—
198#2428C2212yes—
199#2428C2212yes—
200#2428C2212yescomplemented
201#2428C2212yescomplemented
202#2427C2214yescomplemented
203#2427C2212yescomplemented
204#2422C2212yes—
205#2422C2212yescomplemented
206#2422C2212yescomplemented
207#2422C2212yescomplemented
208#2420C2214yescomplemented
209#2420C2212yescomplemented
210#2418C2214yes—
211#2417C2214yescomplemented
212#2416C2214yescomplemented
213#2415C2211yescharacteristic
214#2414C2211yescharacteristic
215#2414C2212yescomplemented
216#2412C2214yes—
217#2410C2214yes—
218#2408C2212yes—
219#2408C2212yes—
220#2408C2212yes—
221#2407C2212yescomplemented
222#2401C2212yescomplemented
223#2398C2212yes—
224#2398C2212yescomplemented
225#2392C2212yes—
226#2380C2214yes—
227#2377C2214yescomplemented
228#2372C2214yescomplemented
229#2369C2211yescharacteristic, complemented
230#2369C2211yescharacteristic, complemented
231#2366C2211yescharacteristic
232#2366C2211yescharacteristic
233#2366C2211yescharacteristic
234#2366C2211yescharacteristic
235#2366C2211yescharacteristic
236#2366C2212yescomplemented
237#2363C2212yescomplemented
238#2363C2212yescomplemented
239#2363C2212yescomplemented
240#2363C2212yescomplemented
241#2363C2212yescomplemented
242#2361C2212yescomplemented
243#2361C2212yescomplemented
244#2355C2211yescharacteristic, complemented
245#2354C2212yescomplemented
246#2349C2212yescomplemented
247#2349C2212yescomplemented
248D4×C4⋊C4C2211yescharacteristic, complemented
249D4×C4⋊C4C2212yescomplemented
250#2339C2212yescomplemented
251#2339C2212yescomplemented
252D4×C22⋊C4C2212yes—
253D4×C22⋊C4C2212yes—
254D4×C22⋊C4C2212yes—
255D4×C22⋊C4C2212yes—
256D4×C22⋊C4C2212yes—
257D4×C22⋊C4C2212yes—
258D4×C22⋊C4C2212yes—
259#2330C2212yescomplemented
260#2328C2212yes—
261#2328C2212yes—
262#2328C2212yes—
263#2328C2212yes—
264#2328C2212yescomplemented
265#2325C2214yescomplemented
266#2324C2212yescomplemented
267#2324C2212yescomplemented
268#2319C2212yescomplemented
269#2319C2212yescomplemented
270#2319C2212yescomplemented
271#2311C2212yescomplemented
272#2308C2214yes—
273C4×C4⋊Q8C2211yescharacteristic, complemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×#127C2211yescharacteristic
276C4×#127C2212yescomplemented
277C4×#126C2212yes—
278C4×#124C2212yes—
279C4×C22⋊Q8C2211yescharacteristic
280C4×C22⋊Q8C2211yescharacteristic, complemented
281C4×#121C2211yescharacteristic
282C4×#121C2211yescharacteristic, complemented
283#2298C2212yescomplemented
284#2297C2214yescomplemented
285#2295C2211yescharacteristic, complemented
286#2295C2212yescomplemented
287#2293C2211yescharacteristic, complemented
288#2293C2212yescomplemented
289#2293C2212yescomplemented
290#2293C2212yescomplemented
291C2×#388C2214yes—
292#2283C2211yescharacteristic
293#2283C2211yescharacteristic
294C42×D4C2211yescharacteristic
295C42×D4C2212yescomplemented
296C42×D4C2212yescomplemented
297C4×#117C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304#554—48no—
305#553—48no—
306#551—416no—
307#550—28no—
308#546—48no—
309#546—48no—
310#532—28no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×#127—28no—
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2311yescharacteristic
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2311yescharacteristic
322C2×#126C2312yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2314yes—
333C2×#124C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2311yescharacteristic
360C2×#121C2311yescharacteristic
361C2×#121C2314yes—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2312yes—
398C2×#117C2314yes—
399C2×#117C2314yes—
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2311yescharacteristic
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2314yes—
405C22×C22⋊C4C2314yes—
406C22×C22⋊C4C2314yes—
407C22×C22⋊C4C2314yes—
408C22×C22⋊C4C2314yes—
409C22×C42C2311yescharacteristic
410C22×C42C2311yescharacteristic
411C22×C42C2314yes—
412#401C2314yes—
413#401C2312yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#400C2312yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2312yes—
424#400C2312yes—
425#400C2312yes—
426#400C2312yes—
427#400C2312yes—
428#400C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2312yes—
436#398C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2312yes—
440#397C2314yes—
441#397C2314yes—
442#397C2312yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2312yes—
448#397C2314yes—
449#397C2314yes—
450#397C2312yes—
451#397C2312yes—
452#397C2314yes—
453#397C2314yes—
454#397C2312yes—
455#397C2312yes—
456#397C2312yes—
457#397C2314yes—
458#397C2314yes—
459#396C2314yes—
460#396C2312yes—
461#396C2314yes—
462#396C2314yes—
463#396C2312yes—
464#396C2314yes—
465#396C2314yes—
466#396C2314yes—
467#396C2312yes—
468#396C2314yes—
469#395C2314yes—
470#394C2314yes—
471#394C2312yes—
472#394C2314yes—
473#394C2314yes—
474#394C2314yes—
475#394C2314yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2312yes—
483#394C2314yes—
484#394C2312yes—
485#394C2312yes—
486#394C2312yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2312yes—
495#394C2312yes—
496#394C2314yes—
497#393C2312yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2312yes—
502#393C2312yes—
503#393C2312yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2312yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#391C2312yes—
515#391C2312yes—
516#391C2311yescharacteristic
517#391C2312yes—
518#391C2312yes—
519#391C2311yescharacteristic
520#391C2312yes—
521#391C2311yescharacteristic
522#391C2312yes—
523#391C2314yes—
524#391C2314yes—
525#391C2311yescharacteristic
526#391C2312yes—
527#391C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2312yes—
531#390C2311yescharacteristic
532#390C2312yes—
533#390C2314yes—
534#390C2314yes—
535#390C2312yes—
536#390C2312yes—
537#390C2311yescharacteristic
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2314yes—
542#390C2312yes—
543#390C2314yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2312yes—
550#390C2312yes—
551#390C2311yescharacteristic
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2314yes—
558#390C2314yes—
559#390C2312yes—
560#390C2312yes—
561#390C2314yes—
562#390C2311yescharacteristic
563#390C2312yes—
564#390C2312yes—
565#389C2311yescharacteristic
566#389C2311yescharacteristic
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2314yes—
575#389C2311yescharacteristic
576#389C2312yes—
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2311yescharacteristic
581#389C2312yes—
582#389C2314yes—
583#389C2312yes—
584#389C2312yes—
585#389C2311yescharacteristic
586#389C2311yescharacteristic
587#389C2311yescharacteristic
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2311yescharacteristic
593#389C2312yes—
594#389C2311yescharacteristic
595#389C2312yes—
596#388C2312yes—
597#388C2312yes—
598#388C2312yes—
599#388C2312yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2312yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2312yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2312yes—
630#388C2314yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2312yes—
636#387C2312yes—
637#387C2312yes—
638#387C2312yes—
639#387C2312yes—
640#387C2314yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2312yes—
645#387C2312yes—
646#387C2314yes—
647#387C2312yes—
648#387C2312yes—
649#387C2312yes—
650#387C2312yes—
651#387C2312yes—
652#387C2312yes—
653#387C2312yes—
654#387C2312yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2312yes—
694#386C2312yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2312yes—
708#385C2312yes—
709#384C2311yescharacteristic
710#384C2312yes—
711#384C2311yescharacteristic
712#384C2311yescharacteristic
713#384C2312yes—
714#384C2312yes—
715#383C2312yes—
716#383C2314yes—
717#383C2312yes—
718#383C2312yes—
719#382C2312yes—
720#382C2311yescharacteristic
721#382C2312yes—
722#382C2314yes—
723#382C2311yescharacteristic
724#382C2311yescharacteristic
725#382C2311yescharacteristic
726#382C2312yes—
727#381C2314yes—
728#381C2314yes—
729#381C2312yes—
730#381C2312yes—
731#381C2314yes—
732#381C2314yes—
733#380C2311yescharacteristic
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2314yes—
739#380C2314yes—
740#380C2314yes—
741#380C2314yes—
742#380C2314yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2311yescharacteristic
746#380C2311yescharacteristic
747#380C2312yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2311yescharacteristic
753#380C2311yescharacteristic
754#380C2311yescharacteristic
755#379C2314yes—
756#379C2314yes—
757#379C2314yes—
758#379C2314yes—
759#379C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C22⋊C4C2311yescharacteristic
785C4×C22⋊C4C2312yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2314yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2314yes—
808#376C2312yes—
809#376C2312yes—
810#376C2312yes—
811#376C2312yes—
812#376C2312yes—
813C2×#95C2314yes—
814C2×#95C2314yes—
815C43C2312yes—
816C43C2311yescharacteristic
817C43C2312yes—
818C25C2414yes—
819C2×#41—28no—
820C2×#41—28no—
821C2×#41—44no—
822C2×#41—44no—
823C2×#41—44no—
824C2×#41—82no—
825C22×Q8C2411yescharacteristic
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2412yes—
829C22×D4—28no—
830C22×D4—28no—
831C22×D4—28no—
832C22×D4—44no—
833C22×D4—44no—
834C22×D4—44no—
835C22×D4—44no—
836C22×D4—44no—
837C22×D4—82no—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2414yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2414yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2412yes—
855C22×D4C2414yes—
856C22×D4C2412yes—
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C23×C4C2411yescharacteristic
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2414yes—
863C23×C4C2411yescharacteristic
864C23×C4C2411yescharacteristic
865C23×C4C2414yes—
866C23×C4C2414yes—
867C23×C4C2414yes—
868C23×C4C2414yes—
869C23×C4C2414yes—
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2414yes—
873C4⋊Q8—24no—
874C4⋊Q8—24no—
875C4⋊Q8—42no—
876#127—28no—
877#127—28no—
878#127—28no—
879#127—28no—
880#127—24no—
881#127—44no—
882#127#4118yes—
883#126—28no—
884#126—48no—
885#126—48no—
886#126—84no—
887#125—28no—
888#125—44no—
889#124—28no—
890#124—28no—
891#124—44no—
892#124—44no—
893#124—84no—
894#124—82no—
895#123—48no—
896#123—48no—
897#123—48no—
898#123—48no—
899#123—48no—
900#123—48no—
901C22⋊Q8—24no—
902C22⋊Q8—44no—
903C22⋊Q8—48no—
904C22⋊Q8—48no—
905C22⋊Q8—48no—
906C22⋊Q8—42no—
907C22⋊Q8—48no—
908C22⋊Q8—48no—
909#121—28no—
910#121—28no—
911#121—28no—
912#121—216no—
913#121—28no—
914#121—44no—
915#121—48no—
916#121—48no—
917#121—44no—
918#121—42no—
919#121—42no—
920#121—44no—
921#121—48no—
922#121—44no—
923#121—84no—
924#121—84no—
925#120—48no—
926#120—48no—
927#120—48no—
928C4×Q8—24no—
929C4×Q8—44no—
930C4×Q8—44no—
931C4×D4—28no—
932C4×D4—28no—
933C4×D4—28no—
934C4×D4—28no—
935C4×D4—24no—
936C4×D4—24no—
937C4×D4—48no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—48no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—42no—
952C4×D4—42no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—48no—
957#117—24no—
958#117—44no—
959#117—48no—
960#117—48no—
961#117—42no—
962#117—42no—
963#117—42no—
964C2×C4⋊C4—44no—
965C2×C4⋊C4—48no—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C22⋊C4—216no—
1022C2×C22⋊C4—48no—
1023C2×C22⋊C4—48no—
1024C2×C22⋊C4—84no—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2411yescharacteristic
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2411yescharacteristic
1066C2×C22⋊C4C2411yescharacteristic
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C42—24no—
1095C2×C42—24no—
1096C2×C42—84no—
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2411yescharacteristic
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2414yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2412yes—
1122C2×C42C2411yescharacteristic
1123C2×C42C2414yes—
1124C2×C42C2414yes—
1125C2×C42C2412yes—
1126C2×C42C2412yes—
1127C2×C42C2411yescharacteristic
1128#95C2412yes—
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2414yes—
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2414yes—
1164#95C2414yes—
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196C24—28no—
1197C24—28no—
1198C24—44no—
1199C24—44no—
1200C24—44no—
1201C24—44no—
1202C24—44no—
1203C24C2514yes—
1204C24C2512yes—
1205C24C2511yescharacteristic
1206C24C2514yes—
1207C24C2511yescharacteristic
1208#41—816no—
1209#41—816no—
1210C2×Q8—22no—
1211C2×Q8—24no—
1212C2×Q8—22no—
1213C2×Q8—24no—
1214C2×Q8—24no—
1215C2×Q8—22no—
1216C2×Q8—42no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×Q8—42no—
1221C2×Q8—42no—
1222C2×D4—22no—
1223C2×D4—28no—
1224C2×D4—28no—
1225C2×D4—28no—
1226C2×D4—28no—
1227C2×D4—28no—
1228C2×D4—28no—
1229C2×D4—24no—
1230C2×D4—22no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—28no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—22no—
1245C2×D4—42no—
1246C2×D4—41no—
1247C2×D4—41no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—42no—
1258C2×D4—44no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—44no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—816no—
1277C2×D4—816no—
1278C2×D4—816no—
1279C2×D4C2×#4118yes—
1280C2×D4C2×#4118yes—
1281C2×D4C2×#4118yes—
1282C22×C4—28no—
1283C22×C4—22no—
1284C22×C4—28no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—28no—
1293C22×C4—24no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—24no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—28no—
1305C22×C4—28no—
1306C22×C4—44no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—44no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4C2511yescharacteristic
1331C22×C4C2511yescharacteristic
1332C22×C4C2512yes—
1333C22×C4C2511yescharacteristic
1334C22×C4C2511yescharacteristic
1335C22×C4C2512yes—
1336C22×C4C2512yes—
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2514yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2511yescharacteristic
1346C22×C4C2512yes—
1347C22×C4C2511yescharacteristic
1348C22×C4C2511yescharacteristic
1349C22×C4C2511yescharacteristic
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2514yes—
1353C22×C4C2512yes—
1354C22×C4C2511yescharacteristic
1355C22×C4C2511yescharacteristic
1356C22×C4C2512yes—
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C4⋊C4—22no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—22no—
1364C4⋊C4—24no—
1365C4⋊C4—22no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—28no—
1369C4⋊C4—24no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—22no—
1373C4⋊C4—28no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—22no—
1381C4⋊C4—22no—
1382C4⋊C4—22no—
1383C4⋊C4—24no—
1384C4⋊C4—22no—
1385C4⋊C4—22no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—42no—
1390C4⋊C4—42no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—41no—
1395C4⋊C4—41no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—42no—
1404C4⋊C4—42no—
1405C4⋊C4—44no—
1406C4⋊C4—42no—
1407C4⋊C4—44no—
1408C4⋊C4—42no—
1409C4⋊C4—44no—
1410C4⋊C4—44no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4H(5,𝔽2)14yes—
1415C22⋊C4—28no—
1416C22⋊C4—28no—
1417C22⋊C4—28no—
1418C22⋊C4—28no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—28no—
1424C22⋊C4—28no—
1425C22⋊C4—24no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—28no—
1429C22⋊C4—22no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—42no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—42no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—42no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—41no—
1448C22⋊C4—44no—
1449C22⋊C4—41no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—42no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4H(5,𝔽2)14yes—
1484C42—22no—
1485C42—22no—
1486C42—22no—
1487C42—22no—
1488C42—22no—
1489C42—22no—
1490C42—24no—
1491C42—24no—
1492C42—24no—
1493C42—24no—
1494C42—22no—
1495C42—24no—
1496C42—24no—
1497C42—22no—
1498C42—22no—
1499C42—24no—
1500C42—24no—
1501C42—24no—
1502C42—22no—
1503C42—22no—
1504C42—24no—
1505C42—42no—
1506C42—42no—
1507C42—44no—
1508C42—44no—
1509C42—42no—
1510C42—42no—
1511C42—42no—
1512C42—44no—
1513C42—41no—
1514C42C2×#4114yes—
1515C23—21no—
1516C23—21no—
1517C23—24no—
1518C23—24no—
1519C23—24no—
1520C23—24no—
1521C23—21no—
1522C23—21no—
1523C23—24no—
1524C23—21no—
1525C23—21no—
1526C23—24no—
1527C23—22no—
1528C23—21no—
1529C23—24no—
1530C23—21no—
1531C23—22no—
1532C23—24no—
1533C23—24no—
1534C23—21no—
1535C23—22no—
1536C23—21no—
1537C23—21no—
1538C23—22no—
1539C23—21no—
1540C23—22no—
1541C23—24no—
1542C23—24no—
1543C23—24no—
1544C23—22no—
1545C23—24no—
1546C23—22no—
1547C23—21no—
1548C23—416no—
1549C23—88no—
1550C23—88no—
1551C23—88no—
1552C23—88no—
1553C23—164no—
1554C23—164no—
1555C23C22×#4118yes—
1556C23C2×H(5,𝔽2)12yes—
1557C23C2611yescharacteristic
1558Q8—44no—
1559Q8—84no—
1560Q8—84no—
1561Q8—84no—
1562D4—216no—
1563D4—216no—
1564D4—48no—
1565D4—44no—
1566D4—48no—
1567D4—44no—
1568D4—48no—
1569D4—88no—
1570D4—84no—
1571D4—88no—
1572D4—84no—
1573D4—88no—
1574D4—88no—
1575D4—88no—
1576D4—88no—
1577D4—88no—
1578D4—88no—
1579D4—84no—
1580D4—164no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—21no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—21no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—22no—
1613C2×C4—24no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—21no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—24no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—44no—
1662C2×C4—44no—
1663C2×C4—416no—
1664C2×C4—44no—
1665C2×C4—44no—
1666C2×C4—48no—
1667C2×C4—44no—
1668C2×C4—44no—
1669C2×C4—88no—
1670C2×C4—88no—
1671C2×C4—88no—
1672C2×C4—88no—
1673C2×C4—88no—
1674C2×C4—164no—
1675C2×C4—164no—
1676C2×C4—164no—
1677C2×C4C22×#4112yes—
1678C2×C4C22×#4112yes—
1679C2×C4C22×#4112yes—
1680C2×C4C2×H(5,𝔽2)12yes—
1681C2×C4C2×H(5,𝔽2)12yes—
1682C2×C4C2×H(5,𝔽2)14yes—
1683C2×C4C2×H(5,𝔽2)12yes—
1684C2×C4#58512yes—
1685C2×C4#58512yes—
1686C2×C4#58512yes—
1687C22—28no—
1688C22—22no—
1689C22—22no—
1690C22—22no—
1691C22—28no—
1692C22—28no—
1693C22—44no—
1694C22—44no—
1695C22—41no—
1696C22—41no—
1697C22—44no—
1698C22—41no—
1699C22—44no—
1700C22—41no—
1701C22—41no—
1702C22—42no—
1703C22—44no—
1704C22—42no—
1705C22—44no—
1706C22—41no—
1707C22—44no—
1708C22—41no—
1709C22—42no—
1710C22—42no—
1711C22—41no—
1712C22—44no—
1713C22—41no—
1714C22—44no—
1715C22—42no—
1716C22—42no—
1717C22—41no—
1718C22—44no—
1719C22—41no—
1720C22—42no—
1721C22—44no—
1722C22—1616no—
1723C22C23×#4111yescharacteristic
1724C22C22×H(5,𝔽2)11yescharacteristic
1725C22C22×H(5,𝔽2)11yescharacteristic
1726C22C2×#58511yescharacteristic
1727C22C2×#58511yescharacteristic
1728C22C2×#58511yescharacteristic
1729C22H(7,𝔽2)11yescharacteristic
1730C4—22no—
1731C4—22no—
1732C4—22no—
1733C4—24no—
1734C4—41no—
1735C4—44no—
1736C4—42no—
1737C4—44no—
1738C4—42no—
1739C4—42no—
1740C4—42no—
1741C4—42no—
1742C4—42no—
1743C4—41no—
1744C4—42no—
1745C4—41no—
1746C4—42no—
1747C4—41no—
1748C4—42no—
1749C4—41no—
1750C4—41no—
1751C4—42no—
1752C4—42no—
1753C4—42no—
1754C4—41no—
1755C4—41no—
1756C4—42no—
1757C4—42no—
1758C4#351414yes—
1759C4#352114yes—
1760C2—48no—
1761C2—42no—
1762C2—81no—
1763C2—82no—
1764C2—84no—
1765C2#6275911yescharacteristic
1766C2C2×#351411yescharacteristic
1767C2C2×#352111yescharacteristic
1768C2#6292011yescharacteristic
1769C2#6296911yescharacteristic
1770C2#6298311yescharacteristic
1771C2#6301411yescharacteristic
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. #59843C2semidirect
2. #59823C2semidirect
3. #59476C2semidirect
4. #59124C2semidirect
5. #59039C2semidirect
6. #49109C2semidirect
7. #48916C2semidirect
8. #45817C2semidirect
9. #45042C2semidirect
10. #45033C2semidirect
11. #45010C2semidirect
12. #45006C2semidirect
13. #42739C2semidirect
14. #42732C2semidirect
15. #42586C2semidirect
16. #42581C2semidirect
17. #39201C2semidirect
18. #39157C2semidirect
19. #38985C2semidirect
20. #38932C2semidirect
21. #38252C2semidirect
22. #38228C2semidirect
23. #38086C2semidirect
24. #36472C2semidirect
25. #36302C2semidirect
26. #36240C2semidirect
27. #36238C2semidirect
28. #36121C2semidirect
29. #35215C2semidirect
30. #35197C2semidirect
31. #34803C2semidirect
32. #34800C2semidirect
33. #34494C2semidirect
34. #34364C2semidirect
35. #34155C2semidirect
36. C2×#554C22semidirect
37. C2×#553C22semidirect
44. #2861C22semidirect
45. #2860C22semidirect
49. #2854C22semidirect
50. #2852C22semidirect
51. #2850C22semidirect
52. #2826C22semidirect
53. #2825C22semidirect
54. #2778C22semidirect
55. #2778C22semidirect
56. #2764C22semidirect
57. #2762C22semidirect
58. #2750C22semidirect
59. #2749C22semidirect
60. #2746C22semidirect
61. #2743C22semidirect
62. #2741C22semidirect
63. #2732C22semidirect
64. #2728C22semidirect
65. #2715C22semidirect
66. #2714C22semidirect
67. #2712C22semidirect
68. #2710C22semidirect
69. #2706C22semidirect
70. #2703C22semidirect
71. #2702C22semidirect
72. #2700C22semidirect
74. #2696C22semidirect
75. #2696C22semidirect
76. #2695C22semidirect
78. #2688C22semidirect
80. #2686C22semidirect
83. #2681C22semidirect
85. #2676C22semidirect
87. #2649C22semidirect
88. #2648C22semidirect
89. #2648C22semidirect
90. #2648C22semidirect
91. #2647C22semidirect
92. #2645C22semidirect
93. #2644C22semidirect
94. #2639C22semidirect
95. #2624C22semidirect
97. #2609C22semidirect
98. #2603C22semidirect
99. #2598C22semidirect
100. #2592C22semidirect
101. #2591C22semidirect
102. #2580C22semidirect
103. #2578C22semidirect
104. #2571C22semidirect
105. #2567C22semidirect
106. #2563C22semidirect
109. #2559C22semidirect
110. #2552C22semidirect
111. #2552C22semidirect
113. #2548C22semidirect
115. #2542C22semidirect
118. #2538C22semidirect
119. #2538C22semidirect
120. #2538C22semidirect
121. #2538C22semidirect
122. #2537C22semidirect
123. #2533C22semidirect
124. #2532C22semidirect
125. #2531C22semidirect
128. #2523C22semidirect
129. #2518C22semidirect
130. #2514C22semidirect
131. #2513C22semidirect
132. #2513C22semidirect
133. #2513C22semidirect
134. #2512C22semidirect
135. #2512C22semidirect
136. #2510C22semidirect
137. #2510C22semidirect
138. #2509C22semidirect
139. #2509C22semidirect
140. #2508C22semidirect
141. #2500C22semidirect
142. #2500C22semidirect
143. #2499C22semidirect
144. #2498C22semidirect
150. #2495C22semidirect
154. #2491C22semidirect
155. #2490C22semidirect
156. #2490C22semidirect
158. #2488C22semidirect
159. #2488C22semidirect
163. #2481C22semidirect
168. #2476C22semidirect
171. #2471C22semidirect
172. #2470C22semidirect
174. #2464C22semidirect
175. #2463C22semidirect
177. #2457C22semidirect
178. #2457C22semidirect
179. #2457C22semidirect
180. #2454C22semidirect
181. #2454C22semidirect
182. #2452C22semidirect
183. #2447C22semidirect
187. #2445C22semidirect
188. #2445C22semidirect
189. #2442C22semidirect
190. #2439C22semidirect
191. #2439C22semidirect
196. #2430C22semidirect
200. #2428C22semidirect
201. #2428C22semidirect
202. #2427C22semidirect
203. #2427C22semidirect
205. #2422C22semidirect
206. #2422C22semidirect
207. #2422C22semidirect
208. #2420C22semidirect
209. #2420C22semidirect
211. #2417C22semidirect
212. #2416C22semidirect
215. #2414C22semidirect
221. #2407C22semidirect
222. #2401C22semidirect
224. #2398C22semidirect
227. #2377C22semidirect
228. #2372C22semidirect
229. #2369C22semidirect
230. #2369C22semidirect
236. #2366C22semidirect
237. #2363C22semidirect
238. #2363C22semidirect
239. #2363C22semidirect
240. #2363C22semidirect
241. #2363C22semidirect
242. #2361C22semidirect
243. #2361C22semidirect
244. #2355C22semidirect
245. #2354C22semidirect
246. #2349C22semidirect
247. #2349C22semidirect
248. D4×C4⋊C4C22semidirect
249. D4×C4⋊C4C22semidirect
250. #2339C22semidirect
251. #2339C22semidirect
259. #2330C22semidirect
264. #2328C22semidirect
265. #2325C22semidirect
266. #2324C22semidirect
267. #2324C22semidirect
268. #2319C22semidirect
269. #2319C22semidirect
270. #2319C22semidirect
271. #2311C22semidirect
273. C4×C4⋊Q8C22semidirect
274. C4×C4⋊Q8C22semidirect
276. C4×#127C22semidirect
280. C4×C22⋊Q8C22semidirect
282. C4×#121C22semidirect
283. #2298C22semidirect
284. #2297C22semidirect
285. #2295C22semidirect
286. #2295C22semidirect
287. #2293C22semidirect
288. #2293C22semidirect
289. #2293C22semidirect
290. #2293C22semidirect
295. C42×D4C22semidirect
296. C42×D4C22semidirect
297. C4×#117C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#598432
#598232
#594762
#591242
#590392
#491092
#489162
#458172
#450422
#450332
#450102
#450062
#427392
#427322
#425862
#425812
#392012
#391572
#389852
#389322
#382522
#382282
#380862
#364722
#363022
#362402
#362382
#361212
#352152
#351972
#348032
#348002
#344942
#343642
#341552