Finite Group Databasebeta

← #7657367

Subgroups — #7657367

Order 512.

5474 conjugacy classes of subgroups.

The subgroup lattice has 1824 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42604C212yesmaximal, complemented
2#42593C212yesmaximal, complemented
3#42539C212yesmaximal, complemented
4#42532C212yesmaximal, complemented
5#41289C214yesmaximal, complemented
6#41264C214yesmaximal, complemented
7#41157C214yesmaximal, complemented
8#41148C214yesmaximal, complemented
9#39469C211yesmaximal, characteristic, complemented
10#39342C211yesmaximal, characteristic, complemented
11#39059C212yesmaximal, complemented
12#39042C212yesmaximal, complemented
13#38967C211yesmaximal, characteristic, complemented
14#38953C211yesmaximal, characteristic, complemented
15#37972C212yesmaximal, complemented
16#37782C212yesmaximal, complemented
17#37636C211yesmaximal, characteristic, complemented
18#37626C211yesmaximal, characteristic, complemented
19#37511C212yesmaximal, complemented
20#37493C212yesmaximal, complemented
21#36468C211yesmaximal, characteristic, complemented
22#36463C211yesmaximal, characteristic, complemented
23#36176C211yesmaximal, characteristic, complemented
24#36126C211yesmaximal, characteristic, complemented
25#35995C212yesmaximal, complemented
26#35800C212yesmaximal, complemented
27#35768C212yesmaximal, complemented
28#35730C212yesmaximal, complemented
29#35288C211yesmaximal, characteristic, complemented
30#35254C212yesmaximal, complemented
31#34621C211yesmaximal, characteristic, complemented
32#34609C212yesmaximal, complemented
33#34321C211yesmaximal, characteristic, complemented
34#34310C211yesmaximal, characteristic, complemented
35#34141C211yesmaximal, characteristic, complemented
36C2×#555C2211yescharacteristic
37C2×#553C2212yescomplemented
38C2×#547C2212yescomplemented
39C2×D42C2211yescharacteristic
40C2×#535C2212yes—
41C2×#532C2211yescharacteristic
42C2×#532C2212yescomplemented
43C2×#518C2212yes—
44C2×C4×#41C2212yescomplemented
45#2859C2211yescharacteristic, complemented
46#2858C2211yescharacteristic
47#2857C2211yescharacteristic, complemented
48#2856C2211yescharacteristic
49#2854C2212yes—
50#2854C2212yes—
51#2854C2212yescomplemented
52#2854C2212yescomplemented
53#2832C2214yescomplemented
54#2829C2214yescomplemented
55#2828C2214yescomplemented
56#2828C2214yescomplemented
57#2827C2214yescomplemented
58#2824C2214yescomplemented
59#2788C2214yescomplemented
60#2779C2214yescomplemented
61#2764C2214yescomplemented
62#2756C2214yescomplemented
63#2756C2214yescomplemented
64#2749C2214yescomplemented
65#2749C2214yescomplemented
66#2749C2214yescomplemented
67#2742C2214yescomplemented
68#2737C2214yescomplemented
69#2735C2214yescomplemented
70#2712C2214yescomplemented
71#2712C2214yescomplemented
72#2703C2214yescomplemented
73#2701C2214yescomplemented
74#2684C2214yescomplemented
75#2678C2214yescomplemented
76#2676C2214yescomplemented
77#2673C2214yescomplemented
78#2670C2214yes—
79#2670C2214yes—
80#2670C2214yes—
81#2670C2214yescomplemented
82#2669C2214yes—
83#2661C2214yescomplemented
84#2651C2212yescomplemented
85#2651C2212yescomplemented
86#2651C2214yescomplemented
87#2650C2214yescomplemented
88#2648C2212yescomplemented
89#2648C2212yescomplemented
90#2648C2214yescomplemented
91#2647C2211yescharacteristic, complemented
92#2644C2211yescharacteristic
93#2644C2211yescharacteristic, complemented
94#2644C2212yescomplemented
95#2641C2211yescharacteristic
96#2638C2214yescomplemented
97#2636C2214yescomplemented
98#2635C2214yescomplemented
99#2635C2214yescomplemented
100#2635C2214yescomplemented
101#2632C2214yescomplemented
102#2632C2214yescomplemented
103#2631C2214yescomplemented
104#2629C2211yescharacteristic, complemented
105#2628C2212yescomplemented
106#2628C2212yescomplemented
107#2628C2212yescomplemented
108#2624C2212yes—
109#2624C2211yescharacteristic
110#2624C2212yescomplemented
111#2624C2212yescomplemented
112#2624C2211yescharacteristic, complemented
113#2624C2212yescomplemented
114#2624C2212yescomplemented
115#2622C2214yescomplemented
116#2619C2212yes—
117#2619C2211yescharacteristic
118#2619C2212yescomplemented
119#2619C2212yescomplemented
120#2617C2214yescomplemented
121#2615C2212yes—
122#2615C2212yescomplemented
123#2603C2214yescomplemented
124#2602C2214yescomplemented
125#2602C2214yescomplemented
126#2597C2214yescomplemented
127#2575C2214yescomplemented
128#2571C2211yescharacteristic, complemented
129#2563C2211yescharacteristic
130#2563C2212yes—
131#2563C2211yescharacteristic, complemented
132#2562C2212yescomplemented
133#2561C2214yescomplemented
134#2560C2214yescomplemented
135#2559C2214yescomplemented
136#2557C2214yescomplemented
137#2554C2214yescomplemented
138#2551C2211yescharacteristic, complemented
139#2550C2212yescomplemented
140#2541C2211yescharacteristic
141#2541C2212yes—
142#2541C2211yescharacteristic
143#2537C2211yescharacteristic
144#2537C2211yescharacteristic, complemented
145#2535C2212yes—
146#2535C2212yescomplemented
147#2535C2214yescomplemented
148#2532C2214yescomplemented
149#2532C2214yescomplemented
150#2518C2214yescomplemented
151#2513C2212yes—
152#2513C2212yescomplemented
153#2513C2212yescomplemented
154#2509C2212yescomplemented
155#2508C2212yescomplemented
156#2500C2212yes—
157#2496C2212yescomplemented
158#2495C2212yescomplemented
159#2495C2212yescomplemented
160#2495C2212yescomplemented
161#2491C2212yes—
162#2491C2212yes—
163#2491C2212yescomplemented
164#2491C2212yescomplemented
165#2490C2212yescomplemented
166#2490C2212yescomplemented
167#2488C2214yescomplemented
168#2486C2212yescomplemented
169#2485C2212yescomplemented
170#2461C2214yescomplemented
171#2461C2214yescomplemented
172#2459C2214yescomplemented
173#2459C2214yescomplemented
174#2457C2214yescomplemented
175#2457C2214yescomplemented
176#2454C2212yes—
177#2454C2212yescomplemented
178#2452C2212yescomplemented
179#2448C2212yescomplemented
180#2448C2214yescomplemented
181#2448C2214yescomplemented
182#2447C2212yescomplemented
183#2445C2212yescomplemented
184#2445C2212yescomplemented
185#2445C2214yescomplemented
186#2445C2214yescomplemented
187#2442C2212yescomplemented
188#2439C2212yescomplemented
189#2439C2212yescomplemented
190#2433C2212yes—
191#2433C2212yes—
192#2431C2214yescomplemented
193#2430C2214yescomplemented
194#2428C2212yes—
195#2428C2212yes—
196#2428C2212yescomplemented
197#2428C2212yescomplemented
198#2427C2212yescomplemented
199#2426C2212yescomplemented
200#2424C2214yescomplemented
201#2424C2214yescomplemented
202#2420C2212yescomplemented
203#2420C2212yescomplemented
204#2420C2212yescomplemented
205#2420C2212yescomplemented
206#2418C2214yescomplemented
207#2418C2214yescomplemented
208#2418C2214yescomplemented
209#2418C2214yescomplemented
210#2418C2214yescomplemented
211#2418C2214yescomplemented
212#2416C2212yescomplemented
213#2416C2212yescomplemented
214#2414C2212yes—
215#2414C2212yes—
216#2414C2212yes—
217#2414C2212yescomplemented
218#2408C2212yes—
219#2408C2212yes—
220#2408C2212yes—
221#2408C2212yes—
222#2404C2214yescomplemented
223#2398C2214yescomplemented
224#2397C2214yescomplemented
225#2395C2212yescomplemented
226#2395C2212yescomplemented
227#2392C2212yescomplemented
228#2392C2212yescomplemented
229#2388C2214yescomplemented
230#2388C2214yescomplemented
231#2369C2211yescharacteristic, complemented
232#2367C2214yescomplemented
233#2367C2212yescomplemented
234#2367C2212yescomplemented
235#2366C2211yescharacteristic
236#2366C2211yescharacteristic
237#2366C2211yescharacteristic
238#2366C2212yescomplemented
239#2365C2211yescharacteristic, complemented
240#2365C2211yescharacteristic, complemented
241#2364C2212yescomplemented
242#2364C2212yescomplemented
243#2363C2212yes—
244#2363C2212yescomplemented
245#2361C2212yes—
246#2361C2212yes—
247#2361C2211yescharacteristic
248#2361C2211yescharacteristic
249#2361C2212yescomplemented
250#2361C2211yescharacteristic, complemented
251#2361C2211yescharacteristic, complemented
252#2358C2214yes—
253#2357C2212yescomplemented
254#2354C2211yescharacteristic
255#2354C2211yescharacteristic
256#2352C2212yescomplemented
257#2352C2212yescomplemented
258D4×C4⋊C4C2211yescharacteristic
259D4×C4⋊C4C2211yescharacteristic, complemented
260#2347C2212yescomplemented
261#2347C2212yescomplemented
262#2346C2212yescomplemented
263D4×C22⋊C4C2212yes—
264D4×C22⋊C4C2212yes—
265#2337C2214yescomplemented
266#2324C2212yes—
267#2324C2212yes—
268#2324C2212yescomplemented
269#2321C2214yes—
270#2319C2212yescomplemented
271#2316C2212yescomplemented
272#2311C2212yescomplemented
273#2309C2212yes—
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×#127C2211yescharacteristic
276C4×#127C2211yescharacteristic
277C4×#125C2211yescharacteristic, complemented
278C4×#121C2212yes—
279C4×#121C2211yescharacteristic
280C4×#121C2212yescomplemented
281C4×#121C2211yescharacteristic, complemented
282C4×#121C2212yescomplemented
283C4×#121C2212yescomplemented
284#2297C2212yescomplemented
285#2296C2212yescomplemented
286#2293C2211yescharacteristic
287#2293C2211yescharacteristic
288#2293C2211yescharacteristic, complemented
289#2293C2211yescharacteristic, complemented
290C2×#390C2212yes—
291#2290C2212yescomplemented
292#2290C2212yescomplemented
293#2283C2212yescomplemented
294#2274C2212yescomplemented
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic, complemented
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2314yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303#555—28no—
304#553—48no—
305#547—48no—
306D42—28no—
307#535—48no—
308#532—28no—
309#532—48no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×#127C2311yescharacteristic
315C2×#127C2311yescharacteristic
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2312yes—
319C2×#127C2314yes—
320C2×#126C2314yes—
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#124C2314yes—
324C2×#124C2312yes—
325C2×#124C2314yes—
326C2×#124C2314yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#123C2314yes—
331C2×#123C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2311yescharacteristic
341C2×#121C2312yes—
342C2×#121C2311yescharacteristic
343C2×#121C2312yes—
344C2×#121C2311yescharacteristic
345C2×#121C2311yescharacteristic
346C2×#121C2312yes—
347C2×#121C2312yes—
348C2×#121C2312yes—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2314yes—
360C2×#121C2314yes—
361C2×#120C2314yes—
362C2×#120C2314yes—
363C2×#120C2314yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C2×#120C2314yes—
367#518—48no—
368C4×#41—48no—
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×D4C2311yescharacteristic
373C2×C4×D4C2311yescharacteristic
374C2×C4×D4C2311yescharacteristic
375C2×C4×D4C2312yes—
376C2×C4×D4C2311yescharacteristic
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2311yescharacteristic
396C2×C4×D4C2314yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2311yescharacteristic
404C2×#117C2312yes—
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2311yescharacteristic
408C2×#117C2312yes—
409C2×#117C2312yes—
410C2×#117C2312yes—
411C2×#117C2312yes—
412C2×#117C2311yescharacteristic
413C2×#117C2312yes—
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2311yescharacteristic
416C22×C4⋊C4C2312yes—
417C22×C4⋊C4C2311yescharacteristic
418C22×C22⋊C4C2314yes—
419C22×C22⋊C4C2314yes—
420C22×C22⋊C4C2314yes—
421C22×C42C2312yes—
422C22×C42C2311yescharacteristic
423C22×C42C2312yes—
424C22×C42C2312yes—
425#400C2314yes—
426#400C2312yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2312yes—
434#399C2314yes—
435#399C2314yes—
436#399C2312yes—
437#399C2314yes—
438#399C2312yes—
439#399C2314yes—
440#399C2314yes—
441#398C2312yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2312yes—
446#398C2312yes—
447#397C2314yes—
448#397C2312yes—
449#397C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2312yes—
463#397C2312yes—
464#397C2312yes—
465#397C2314yes—
466#397C2312yes—
467#397C2312yes—
468#397C2312yes—
469#396C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2312yes—
474#396C2312yes—
475#396C2312yes—
476#396C2312yes—
477#395C2314yes—
478#395C2314yes—
479#395C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2312yes—
505#394C2314yes—
506#394C2312yes—
507#394C2312yes—
508#394C2314yes—
509#394C2312yes—
510#394C2312yes—
511#394C2312yes—
512#394C2312yes—
513#394C2312yes—
514#394C2314yes—
515#394C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#392C2314yes—
526#392C2314yes—
527#392C2314yes—
528#392C2314yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2312yes—
544#392C2312yes—
545#391C2314yes—
546#391C2312yes—
547#391C2314yes—
548#391C2314yes—
549#391C2312yes—
550#391C2312yes—
551#391C2312yes—
552#390C2314yes—
553#390C2311yescharacteristic
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2311yescharacteristic
558#390C2312yes—
559#390C2312yes—
560#390C2311yescharacteristic
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#390C2312yes—
567#390C2314yes—
568#390C2314yes—
569#390C2314yes—
570#390C2312yes—
571#390C2312yes—
572#390C2314yes—
573#390C2312yes—
574#390C2314yes—
575#390C2311yescharacteristic
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2314yes—
584#390C2312yes—
585#390C2314yes—
586#390C2311yescharacteristic
587#390C2311yescharacteristic
588#390C2311yescharacteristic
589#390C2311yescharacteristic
590#390C2311yescharacteristic
591#390C2312yes—
592#390C2311yescharacteristic
593#390C2311yescharacteristic
594#390C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2314yes—
604#389C2314yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2311yescharacteristic
614#389C2312yes—
615#389C2311yescharacteristic
616#389C2311yescharacteristic
617#389C2311yescharacteristic
618#389C2311yescharacteristic
619#389C2311yescharacteristic
620#389C2312yes—
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2311yescharacteristic
624#389C2311yescharacteristic
625#388C2312yes—
626#388C2314yes—
627#388C2314yes—
628#388C2312yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2312yes—
635#388C2312yes—
636#388C2312yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2312yes—
644#388C2312yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
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#388C2312yes—
664#388C2312yes—
665#388C2312yes—
666#388C2314yes—
667#388C2312yes—
668#388C2312yes—
669#387C2314yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2312yes—
678#387C2312yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2312yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2312yes—
698#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#386C2314yes—
702#386C2312yes—
703#386C2312yes—
704#386C2312yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2312yes—
710#386C2312yes—
711#385C2314yes—
712#385C2312yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2312yes—
719#385C2314yes—
720#385C2314yes—
721#385C2312yes—
722#385C2312yes—
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#383C2314yes—
727#383C2314yes—
728#383C2314yes—
729#382C2311yescharacteristic
730#382C2312yes—
731#382C2312yes—
732#382C2312yes—
733#382C2312yes—
734#382C2312yes—
735#382C2314yes—
736#381C2314yes—
737#381C2314yes—
738#381C2314yes—
739#381C2314yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2314yes—
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2311yescharacteristic
751#380C2312yes—
752#380C2312yes—
753#380C2314yes—
754#380C2314yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2311yescharacteristic
759#380C2312yes—
760#379C2314yes—
761#379C2314yes—
762#379C2314yes—
763#379C2314yes—
764C4×C4⋊C4C2314yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2314yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813#376C2311yescharacteristic
814#376C2314yes—
815#376C2311yescharacteristic
816C2×#95C2312yes—
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C25C2414yes—
820C2×#41—28no—
821C2×#41—28no—
822C2×#41—44no—
823C2×#41—48no—
824C2×#41—48no—
825C2×#41—84no—
826C22×Q8C2412yes—
827C22×Q8C2412yes—
828C22×Q8C2414yes—
829C22×D4—28no—
830C22×D4—28no—
831C22×D4—44no—
832C22×D4—44no—
833C22×D4—44no—
834C22×D4—44no—
835C22×D4C2411yescharacteristic
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2414yes—
845C22×D4C2414yes—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C23×C4C2411yescharacteristic
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867C23×C4C2412yes—
868C23×C4C2414yes—
869C23×C4C2414yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2414yes—
874C23×C4C2412yes—
875C23×C4C2414yes—
876C23×C4C2412yes—
877C4⋊Q8—24no—
878C4⋊Q8—24no—
879C4⋊Q8—44no—
880C4⋊Q8—44no—
881#127—24no—
882#127—24no—
883#127—44no—
884#127—42no—
885#127—44no—
886#127—48no—
887#126—48no—
888#125—42no—
889#125—44no—
890#124—28no—
891#124—216no—
892#124—48no—
893#124—48no—
894#124—84no—
895#124—82no—
896#124—82no—
897#123—48no—
898#123—48no—
899#123—48no—
900#123—84no—
901#123—84no—
902C22⋊Q8—48no—
903C22⋊Q8—82no—
904#121—24no—
905#121—28no—
906#121—28no—
907#121—28no—
908#121—24no—
909#121—28no—
910#121—24no—
911#121—24no—
912#121—28no—
913#121—28no—
914#121—48no—
915#121—44no—
916#121—44no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—48no—
925#121—82no—
926#121—84no—
927#121—84no—
928#120—216no—
929#120—48no—
930#120—48no—
931#120—84no—
932#120—84no—
933#120—84no—
934C4×Q8—44no—
935C4×Q8—44no—
936C4×Q8—82no—
937C4×D4—28no—
938C4×D4—24no—
939C4×D4—28no—
940C4×D4—24no—
941C4×D4—24no—
942C4×D4—24no—
943C4×D4—24no—
944C4×D4—48no—
945C4×D4—48no—
946C4×D4—42no—
947C4×D4—44no—
948C4×D4—42no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—48no—
958C4×D4—44no—
959C4×D4—48no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—82no—
966C4×D4—84no—
967C4×D4—84no—
968C4×D4#4118yescomplemented
969#117—28no—
970#117—24no—
971#117—28no—
972#117—28no—
973#117—44no—
974#117—42no—
975#117—44no—
976#117—44no—
977#117—44no—
978#117—44no—
979C2×C4⋊C4—24no—
980C2×C4⋊C4—28no—
981C2×C4⋊C4—44no—
982C2×C4⋊C4—42no—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C22⋊C4—48no—
1037C2×C22⋊C4—48no—
1038C2×C22⋊C4—84no—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
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×C42—28no—
1117C2×C42—24no—
1118C2×C42—44no—
1119C2×C42—44no—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2414yes—
1125C2×C42C2412yes—
1126C2×C42C2414yes—
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2412yes—
1130C2×C42C2411yescharacteristic
1131C2×C42C2412yes—
1132C2×C42C2411yescharacteristic
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2414yes—
1140C2×C42C2411yescharacteristic
1141C2×C42C2414yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2411yescharacteristic
1147C2×C42C2414yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2411yescharacteristic
1157#95C2411yescharacteristic
1158#95C2411yescharacteristic
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2412yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207C24—28no—
1208C24—44no—
1209C24—44no—
1210C24—44no—
1211C24—44no—
1212C24—44no—
1213C24—44no—
1214C24C2512yes—
1215C24C2514yes—
1216C24C2512yes—
1217C24C2512yes—
1218C24C2512yes—
1219C24C2511yescharacteristic
1220#41—432no—
1221#41—832no—
1222C2×Q8—24no—
1223C2×Q8—24no—
1224C2×Q8—24no—
1225C2×Q8—42no—
1226C2×Q8—42no—
1227C2×Q8—44no—
1228C2×Q8—42no—
1229C2×Q8—44no—
1230C2×Q8—44no—
1231C2×D4—28no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—28no—
1239C2×D4—24no—
1240C2×D4—28no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—22no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—28no—
1249C2×D4—22no—
1250C2×D4—24no—
1251C2×D4—22no—
1252C2×D4—24no—
1253C2×D4—22no—
1254C2×D4—24no—
1255C2×D4—22no—
1256C2×D4—22no—
1257C2×D4—24no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—24no—
1261C2×D4—22no—
1262C2×D4—44no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—44no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—44no—
1292C2×D4—42no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—432no—
1306C2×D4—816no—
1307C2×D4C2×#4114yes—
1308C22×C4—22no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—22no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—22no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—22no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—22no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—22no—
1328C22×C4—24no—
1329C22×C4—28no—
1330C22×C4—28no—
1331C22×C4—24no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—42no—
1350C22×C4—42no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4C2×#4118yes—
1358C22×C4H(5,𝔽2)14yes—
1359C22×C4C2512yes—
1360C22×C4C2511yescharacteristic
1361C22×C4C2511yescharacteristic
1362C22×C4C2512yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2514yes—
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2514yes—
1371C22×C4C2512yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2512yes—
1378C22×C4C2514yes—
1379C22×C4C2512yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2512yes—
1384C22×C4C2511yescharacteristic
1385C22×C4C2512yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C4⋊C4—22no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—22no—
1392C4⋊C4—24no—
1393C4⋊C4—22no—
1394C4⋊C4—24no—
1395C4⋊C4—22no—
1396C4⋊C4—24no—
1397C4⋊C4—28no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—24no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—24no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—44no—
1410C4⋊C4—42no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—42no—
1423C4⋊C4—44no—
1424C4⋊C4—42no—
1425C4⋊C4—44no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—44no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—42no—
1436C4⋊C4—44no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4C2×#4114yes—
1440C4⋊C4H(5,𝔽2)14yes—
1441C22⋊C4—28no—
1442C22⋊C4—24no—
1443C22⋊C4—22no—
1444C22⋊C4—22no—
1445C22⋊C4—28no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—28no—
1451C22⋊C4—28no—
1452C22⋊C4—24no—
1453C22⋊C4—28no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—28no—
1457C22⋊C4—24no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—41no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—41no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4C2×#4118yes—
1518C42—22no—
1519C42—22no—
1520C42—22no—
1521C42—28no—
1522C42—24no—
1523C42—24no—
1524C42—24no—
1525C42—24no—
1526C42—22no—
1527C42—22no—
1528C42—28no—
1529C42—22no—
1530C42—24no—
1531C42—22no—
1532C42—22no—
1533C42—22no—
1534C42—24no—
1535C42—22no—
1536C42—22no—
1537C42—42no—
1538C42—42no—
1539C42—42no—
1540C42—42no—
1541C42—44no—
1542C42—41no—
1543C42—44no—
1544C42—41no—
1545C42—44no—
1546C42—41no—
1547C42—41no—
1548C42C2×#4114yes—
1549C23—21no—
1550C23—22no—
1551C23—22no—
1552C23—21no—
1553C23—21no—
1554C23—21no—
1555C23—22no—
1556C23—22no—
1557C23—21no—
1558C23—22no—
1559C23—22no—
1560C23—21no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—24no—
1565C23—22no—
1566C23—22no—
1567C23—24no—
1568C23—22no—
1569C23—24no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—24no—
1576C23—22no—
1577C23—22no—
1578C23—24no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—24no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—24no—
1587C23—22no—
1588C23—22no—
1589C23—416no—
1590C23—88no—
1591C23—88no—
1592C23—164no—
1593C23—164no—
1594C23—164no—
1595C23—164no—
1596C23C22×#4114yes—
1597C23C2×H(5,𝔽2)12yes—
1598C23C2611yescharacteristic
1599Q8—48no—
1600Q8—84no—
1601Q8—88no—
1602D4—28no—
1603D4—48no—
1604D4—48no—
1605D4—48no—
1606D4—416no—
1607D4—48no—
1608D4—44no—
1609D4—48no—
1610D4—44no—
1611D4—48no—
1612D4—44no—
1613D4—84no—
1614D4—88no—
1615D4—84no—
1616D4—88no—
1617D4—84no—
1618D4—88no—
1619D4—88no—
1620D4—84no—
1621D4—88no—
1622D4—88no—
1623D4—84no—
1624D4—88no—
1625D4—164no—
1626D4—164no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—216no—
1636C2×C4—28no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—24no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—24no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—24no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—24no—
1665C2×C4—22no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—24no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—24no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—24no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—24no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—48no—
1707C2×C4—44no—
1708C2×C4—48no—
1709C2×C4—48no—
1710C2×C4—48no—
1711C2×C4—82no—
1712C2×C4—84no—
1713C2×C4—84no—
1714C2×C4—88no—
1715C2×C4—88no—
1716C2×C4—84no—
1717C2×C4—84no—
1718C2×C4—84no—
1719C2×C4—164no—
1720C2×C4—164no—
1721C2×C4C22×#4114yes—
1722C2×C4C22×#4112yes—
1723C2×C4C22×#4112yes—
1724C2×C4C22×#4112yes—
1725C2×C4C2×H(5,𝔽2)12yes—
1726C2×C4C2×H(5,𝔽2)14yes—
1727C2×C4C2×H(5,𝔽2)12yes—
1728C2×C4C2×H(5,𝔽2)12yes—
1729C2×C4#58512yes—
1730C2×C4#58512yes—
1731C22—22no—
1732C22—24no—
1733C22—24no—
1734C22—22no—
1735C22—22no—
1736C22—24no—
1737C22—41no—
1738C22—42no—
1739C22—42no—
1740C22—41no—
1741C22—42no—
1742C22—41no—
1743C22—41no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—44no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22—44no—
1752C22—42no—
1753C22—42no—
1754C22—44no—
1755C22—42no—
1756C22—42no—
1757C22—44no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—42no—
1762C22—42no—
1763C22—44no—
1764C22—42no—
1765C22—42no—
1766C22—42no—
1767C22—44no—
1768C22—42no—
1769C22—42no—
1770C22—42no—
1771C22—44no—
1772C22—42no—
1773C22—1616no—
1774C22C23×#4111yescharacteristic
1775C22C22×H(5,𝔽2)11yescharacteristic
1776C22C22×H(5,𝔽2)11yescharacteristic
1777C22C2×#58511yescharacteristic
1778C22C2×#58511yescharacteristic
1779C22H(7,𝔽2)11yescharacteristic
1780C22H(7,𝔽2)11yescharacteristic
1781C4—24no—
1782C4—22no—
1783C4—22no—
1784C4—24no—
1785C4—42no—
1786C4—41no—
1787C4—44no—
1788C4—42no—
1789C4—41no—
1790C4—41no—
1791C4—42no—
1792C4—44no—
1793C4—42no—
1794C4—41no—
1795C4—44no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—42no—
1800C4—42no—
1801C4—42no—
1802C4—41no—
1803C4—42no—
1804C4—42no—
1805C4—41no—
1806C4—42no—
1807C4—41no—
1808C4#346014yes—
1809C4#351314yes—
1810C2—42no—
1811C2—44no—
1812C2—82no—
1813C2—82no—
1814C2—84no—
1815C2—82no—
1816C2C2×#346011yescharacteristic
1817C2C2×#351311yescharacteristic
1818C2#6285811yescharacteristic
1819C2#6291211yescharacteristic
1820C2#6292311yescharacteristic
1821C2#6293011yescharacteristic
1822C2#6293811yescharacteristic
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. #42604C2semidirect
2. #42593C2semidirect
3. #42539C2semidirect
4. #42532C2semidirect
5. #41289C2semidirect
6. #41264C2semidirect
7. #41157C2semidirect
8. #41148C2semidirect
9. #39469C2semidirect
10. #39342C2semidirect
11. #39059C2semidirect
12. #39042C2semidirect
13. #38967C2semidirect
14. #38953C2semidirect
15. #37972C2semidirect
16. #37782C2semidirect
17. #37636C2semidirect
18. #37626C2semidirect
19. #37511C2semidirect
20. #37493C2semidirect
21. #36468C2semidirect
22. #36463C2semidirect
23. #36176C2semidirect
24. #36126C2semidirect
25. #35995C2semidirect
26. #35800C2semidirect
27. #35768C2semidirect
28. #35730C2semidirect
29. #35288C2semidirect
30. #35254C2semidirect
31. #34621C2semidirect
32. #34609C2semidirect
33. #34321C2semidirect
34. #34310C2semidirect
35. #34141C2semidirect
37. C2×#553C22semidirect
38. C2×#547C22semidirect
42. C2×#532C22semidirect
44. C2×C4×#41C22semidirect
45. #2859C22semidirect
47. #2857C22semidirect
51. #2854C22semidirect
52. #2854C22semidirect
53. #2832C22semidirect
54. #2829C22semidirect
55. #2828C22semidirect
56. #2828C22semidirect
57. #2827C22semidirect
58. #2824C22semidirect
59. #2788C22semidirect
60. #2779C22semidirect
61. #2764C22semidirect
62. #2756C22semidirect
63. #2756C22semidirect
64. #2749C22semidirect
65. #2749C22semidirect
66. #2749C22semidirect
67. #2742C22semidirect
68. #2737C22semidirect
69. #2735C22semidirect
70. #2712C22semidirect
71. #2712C22semidirect
72. #2703C22semidirect
73. #2701C22semidirect
74. #2684C22semidirect
75. #2678C22semidirect
76. #2676C22semidirect
77. #2673C22semidirect
81. #2670C22semidirect
83. #2661C22semidirect
84. #2651C22semidirect
85. #2651C22semidirect
86. #2651C22semidirect
87. #2650C22semidirect
88. #2648C22semidirect
89. #2648C22semidirect
90. #2648C22semidirect
91. #2647C22semidirect
93. #2644C22semidirect
94. #2644C22semidirect
96. #2638C22semidirect
97. #2636C22semidirect
98. #2635C22semidirect
99. #2635C22semidirect
100. #2635C22semidirect
101. #2632C22semidirect
102. #2632C22semidirect
103. #2631C22semidirect
104. #2629C22semidirect
105. #2628C22semidirect
106. #2628C22semidirect
107. #2628C22semidirect
110. #2624C22semidirect
111. #2624C22semidirect
112. #2624C22semidirect
113. #2624C22semidirect
114. #2624C22semidirect
115. #2622C22semidirect
118. #2619C22semidirect
119. #2619C22semidirect
120. #2617C22semidirect
122. #2615C22semidirect
123. #2603C22semidirect
124. #2602C22semidirect
125. #2602C22semidirect
126. #2597C22semidirect
127. #2575C22semidirect
128. #2571C22semidirect
131. #2563C22semidirect
132. #2562C22semidirect
133. #2561C22semidirect
134. #2560C22semidirect
135. #2559C22semidirect
136. #2557C22semidirect
137. #2554C22semidirect
138. #2551C22semidirect
139. #2550C22semidirect
144. #2537C22semidirect
146. #2535C22semidirect
147. #2535C22semidirect
148. #2532C22semidirect
149. #2532C22semidirect
150. #2518C22semidirect
152. #2513C22semidirect
153. #2513C22semidirect
154. #2509C22semidirect
155. #2508C22semidirect
157. #2496C22semidirect
158. #2495C22semidirect
159. #2495C22semidirect
160. #2495C22semidirect
163. #2491C22semidirect
164. #2491C22semidirect
165. #2490C22semidirect
166. #2490C22semidirect
167. #2488C22semidirect
168. #2486C22semidirect
169. #2485C22semidirect
170. #2461C22semidirect
171. #2461C22semidirect
172. #2459C22semidirect
173. #2459C22semidirect
174. #2457C22semidirect
175. #2457C22semidirect
177. #2454C22semidirect
178. #2452C22semidirect
179. #2448C22semidirect
180. #2448C22semidirect
181. #2448C22semidirect
182. #2447C22semidirect
183. #2445C22semidirect
184. #2445C22semidirect
185. #2445C22semidirect
186. #2445C22semidirect
187. #2442C22semidirect
188. #2439C22semidirect
189. #2439C22semidirect
192. #2431C22semidirect
193. #2430C22semidirect
196. #2428C22semidirect
197. #2428C22semidirect
198. #2427C22semidirect
199. #2426C22semidirect
200. #2424C22semidirect
201. #2424C22semidirect
202. #2420C22semidirect
203. #2420C22semidirect
204. #2420C22semidirect
205. #2420C22semidirect
206. #2418C22semidirect
207. #2418C22semidirect
208. #2418C22semidirect
209. #2418C22semidirect
210. #2418C22semidirect
211. #2418C22semidirect
212. #2416C22semidirect
213. #2416C22semidirect
217. #2414C22semidirect
222. #2404C22semidirect
223. #2398C22semidirect
224. #2397C22semidirect
225. #2395C22semidirect
226. #2395C22semidirect
227. #2392C22semidirect
228. #2392C22semidirect
229. #2388C22semidirect
230. #2388C22semidirect
231. #2369C22semidirect
232. #2367C22semidirect
233. #2367C22semidirect
234. #2367C22semidirect
238. #2366C22semidirect
239. #2365C22semidirect
240. #2365C22semidirect
241. #2364C22semidirect
242. #2364C22semidirect
244. #2363C22semidirect
249. #2361C22semidirect
250. #2361C22semidirect
251. #2361C22semidirect
253. #2357C22semidirect
256. #2352C22semidirect
257. #2352C22semidirect
259. D4×C4⋊C4C22semidirect
260. #2347C22semidirect
261. #2347C22semidirect
262. #2346C22semidirect
265. #2337C22semidirect
268. #2324C22semidirect
270. #2319C22semidirect
271. #2316C22semidirect
272. #2311C22semidirect
274. C4×C4⋊Q8C22semidirect
277. C4×#125C22semidirect
280. C4×#121C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
284. #2297C22semidirect
285. #2296C22semidirect
288. #2293C22semidirect
289. #2293C22semidirect
291. #2290C22semidirect
292. #2290C22semidirect
293. #2283C22semidirect
294. #2274C22semidirect
296. C42×D4C22semidirect
297. C4×#117C22semidirect
298. C2×C4×C4⋊C4C22semidirect
968. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#426042
#425932
#425392
#425322
#412892
#412642
#411572
#411482
#394692
#393422
#390592
#390422
#389672
#389532
#379722
#377822
#376362
#376262
#375112
#374932
#364682
#364632
#361762
#361262
#359952
#358002
#357682
#357302
#352882
#352542
#346212
#346092
#343212
#343102
#341412