Finite Group Databasebeta

← #8094448

Subgroups — #8094448

Order 512.

5018 conjugacy classes of subgroups.

The subgroup lattice has 1807 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53110C212yesmaximal, complemented
2#53105C212yesmaximal, complemented
3#53069C212yesmaximal, complemented
4#53057C212yesmaximal, complemented
5#53029C212yesmaximal, complemented
6#53016C212yesmaximal, complemented
7#52976C212yesmaximal, complemented
8#52973C212yesmaximal, complemented
9#52425C214yesmaximal, complemented
10#52343C214yesmaximal, complemented
11#45711C212yesmaximal, complemented
12#45695C212yesmaximal, complemented
13#45689C212yesmaximal, complemented
14#45662C212yesmaximal, complemented
15#45649C212yesmaximal, complemented
16#45610C212yesmaximal, complemented
17#45602C212yesmaximal, complemented
18#45530C214yesmaximal, complemented
19#45516C212yesmaximal, complemented
20#45462C214yesmaximal, complemented
21#35649C211yesmaximal, characteristic, complemented
22#35564C211yesmaximal, characteristic, complemented
23#35556C211yesmaximal, characteristic, complemented
24#35543C211yesmaximal, characteristic, complemented
25#35531C211yesmaximal, characteristic, complemented
26#35519C211yesmaximal, characteristic, complemented
27#35333C211yesmaximal, characteristic, complemented
28#35256C211yesmaximal, characteristic, complemented
29#35256C211yesmaximal, characteristic, complemented
30#35255C211yesmaximal, characteristic, complemented
31#35165C211yesmaximal, characteristic, complemented
32#35152C211yesmaximal, characteristic, complemented
33#34947C211yesmaximal, characteristic, complemented
34#34744C211yesmaximal, characteristic, complemented
35C2×#2454C211yesmaximal, characteristic, complemented
36C2×#537C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#535C2211yescharacteristic
41C2×#533C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C22×#125C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C22×C4×D4C2211yescharacteristic
48#2856C2212yes—
49#2856C2212yes—
50#2855C2212yescomplemented
51#2854C2212yescomplemented
52#2851C2212yescomplemented
53#2851C2212yescomplemented
54#2850C2212yes—
55#2850C2212yes—
56#2849C2214yes—
57#2847C2214yes—
58#2841C2214yescomplemented
59#2837C2214yescomplemented
60#2837C2214yescomplemented
61#2836C2214yescomplemented
62#2830C2214yescomplemented
63#2829C2214yescomplemented
64#2829C2214yescomplemented
65#2829C2214yescomplemented
66#2829C2214yescomplemented
67#2829C2214yescomplemented
68#2827C2214yescomplemented
69#2827C2214yescomplemented
70#2827C2214yescomplemented
71#2826C2214yescomplemented
72#2826C2214yescomplemented
73#2820C2214yescomplemented
74#2816C2214yescomplemented
75#2814C2214yescomplemented
76#2813C2214yescomplemented
77#2813C2214yescomplemented
78#2798C2214yescomplemented
79#2786C2214yescomplemented
80#2786C2214yescomplemented
81#2783C2214yescomplemented
82#2781C2214yescomplemented
83#2779C2214yescomplemented
84#2772C2214yescomplemented
85#2768C2214yescomplemented
86#2761C2214yescomplemented
87#2761C2214yescomplemented
88#2751C2214yescomplemented
89#2747C2214yescomplemented
90#2744C2214yescomplemented
91#2743C2214yescomplemented
92#2741C2214yescomplemented
93#2741C2214yescomplemented
94#2740C2214yescomplemented
95#2740C2214yescomplemented
96#2730C2214yescomplemented
97#2711C2214yescomplemented
98#2711C2214yescomplemented
99#2710C2214yescomplemented
100#2708C2214yescomplemented
101#2708C2214yescomplemented
102#2708C2214yescomplemented
103#2706C2214yescomplemented
104#2706C2214yescomplemented
105#2701C2214yescomplemented
106#2701C2214yescomplemented
107#2696C2214yescomplemented
108#2694C2214yescomplemented
109#2687C2214yescomplemented
110#2686C2214yescomplemented
111#2682C2214yescomplemented
112#2682C2214yescomplemented
113#2676C2214yescomplemented
114#2676C2214yescomplemented
115#2672C2214yescomplemented
116#2671C2214yescomplemented
117#2671C2214yescomplemented
118#2629C2212yescomplemented
119#2629C2212yescomplemented
120#2625C2212yescomplemented
121#2624C2212yescomplemented
122#2622C2214yes—
123#2620C2212yes—
124#2620C2212yes—
125#2619C2212yes—
126#2619C2212yes—
127#2617C2214yes—
128#2592C2212yes—
129#2592C2212yes—
130#2591C2214yes—
131#2582C2212yescomplemented
132#2581C2212yescomplemented
133#2580C2212yescomplemented
134#2579C2214yes—
135#2579C2214yes—
136#2571C2212yescomplemented
137#2570C2212yescomplemented
138#2570C2212yescomplemented
139#2568C2211yescharacteristic, complemented
140#2567C2211yescharacteristic, complemented
141#2566C2212yescomplemented
142#2566C2212yescomplemented
143#2566C2211yescharacteristic, complemented
144#2566C2211yescharacteristic, complemented
145#2565C2212yescomplemented
146#2565C2212yescomplemented
147#2565C2211yescharacteristic, complemented
148#2565C2211yescharacteristic, complemented
149#2564C2212yes—
150#2564C2212yes—
151#2563C2211yescharacteristic, complemented
152#2552C2212yescomplemented
153#2548C2212yes—
154#2548C2212yes—
155#2547C2212yes—
156#2544C2212yes—
157#2544C2212yes—
158#2543C2214yes—
159#2542C2211yescharacteristic, complemented
160#2541C2212yes—
161#2538C2212yescomplemented
162#2537C2212yes—
163#2537C2212yes—
164#2535C2212yes—
165#2535C2212yes—
166#2509C2212yescomplemented
167#2508C2212yescomplemented
168#2507C2212yescomplemented
169#2506C2212yescomplemented
170#2505C2214yes—
171#2504C2212yes—
172#2504C2214yes—
173#2501C2212yes—
174#2500C2212yes—
175#2500C2212yes—
176#2491C2212yes—
177#2491C2212yes—
178#2490C2212yes—
179#2490C2212yes—
180#2490C2212yescomplemented
181#2490C2212yescomplemented
182#2490C2212yescomplemented
183#2490C2212yescomplemented
184#2489C2212yescomplemented
185#2489C2212yescomplemented
186#2489C2212yescomplemented
187#2489C2212yescomplemented
188#2473C2214yes—
189#2472C2214yes—
190#2472C2214yes—
191#2454C2212yes—
192#2454C2212yes—
193#2454C2212yes—
194#2454C2212yes—
195#2454C2212yes—
196#2454C2212yes—
197#2454C2212yes—
198#2454C2212yes—
199#2450C2214yes—
200#2449C2214yes—
201#2448C2212yes—
202#2448C2212yes—
203#2448C2211yescharacteristic, complemented
204#2448C2211yescharacteristic, complemented
205#2447C2212yes—
206#2447C2212yes—
207#2447C2211yescharacteristic, complemented
208#2447C2211yescharacteristic, complemented
209#2446C2211yescharacteristic, complemented
210#2446C2211yescharacteristic, complemented
211#2445C2212yes—
212#2445C2212yes—
213#2445C2212yes—
214#2445C2212yes—
215#2445C2211yescharacteristic, complemented
216#2445C2211yescharacteristic, complemented
217#2444C2212yes—
218#2444C2212yes—
219#2444C2214yes—
220#2443C2214yes—
221#2443C2212yes—
222#2443C2212yes—
223#2442C2212yescomplemented
224#2441C2212yescomplemented
225#2440C2212yescomplemented
226#2439C2212yescomplemented
227#2429C2212yescomplemented
228#2428C2212yes—
229#2428C2212yes—
230#2428C2212yes—
231#2428C2212yes—
232#2428C2212yescomplemented
233#2427C2212yescomplemented
234#2426C2212yes—
235#2426C2212yes—
236#2426C2212yes—
237#2426C2212yes—
238#2426C2212yescomplemented
239#2424C2214yes—
240#2424C2214yes—
241#2424C2214yes—
242#2424C2214yes—
243#2423C2212yescomplemented
244#2422C2212yes—
245#2422C2212yes—
246#2422C2212yescomplemented
247#2421C2212yescomplemented
248#2420C2212yes—
249#2420C2212yes—
250#2420C2212yescomplemented
251#2418C2214yes—
252#2418C2214yes—
253#2417C2212yes—
254#2417C2212yes—
255#2417C2212yescomplemented
256#2416C2214yes—
257#2416C2212yescomplemented
258#2415C2212yescomplemented
259#2414C2212yescomplemented
260#2396C2212yescomplemented
261#2396C2212yescomplemented
262#2395C2212yescomplemented
263#2395C2212yescomplemented
264C2×#399C2212yes—
265C2×#396C2212yes—
266#2379C2214yescomplemented
267#2377C2214yescomplemented
268#2377C2214yescomplemented
269#2376C2214yescomplemented
270#2317C2211yescharacteristic
271#2317C2211yescharacteristic
272#2317C2211yescharacteristic
273#2317C2211yescharacteristic
274#2311C2211yescharacteristic
275#2311C2211yescharacteristic
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2309C2211yescharacteristic
279C4×C22⋊Q8C2212yescomplemented
280C4×C22⋊Q8C2212yescomplemented
281C4×#123C2212yescomplemented
282C4×#123C2212yescomplemented
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288#2296C2211yescharacteristic
289C2×#390C2211yescharacteristic
290C2×#390C2211yescharacteristic
291C2×#389C2211yescharacteristic
292C2×#389C2211yescharacteristic
293C2×#385C2212yes—
294#2285C2211yescharacteristic
295#2285C2211yescharacteristic
296C2×#380C2212yes—
297#2274C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302C23×D4C2311yescharacteristic
303C24×C4C2312yes—
304#537—44no—
305#537—44no—
306#535—44no—
307#535—44no—
308#535—44no—
309#533—44no—
310#532—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×#127C2312yes—
315C2×#127C2312yes—
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318C2×#125—44no—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#124C2311yescharacteristic
331C2×#124C2311yescharacteristic
332C2×#124C2314yes—
333C2×#123C2314yes—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#121C2312yes—
352C2×#121C2314yes—
353C2×#121C2312yes—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#120C2314yes—
371C2×#120C2314yes—
372C2×#120C2314yes—
373#520—44no—
374C4×#41—44no—
375C4×#41—44no—
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2311yescharacteristic
380C2×C4×Q8C2312yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×D4—44no—
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2314yes—
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2311yescharacteristic
403C2×#117C2311yescharacteristic
404C2×#117C2311yescharacteristic
405C2×#117C2312yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C22×C4⋊C4C2311yescharacteristic
409C22×C4⋊C4C2311yescharacteristic
410C22×C4⋊C4C2311yescharacteristic
411C22×C4⋊C4C2312yes—
412C22×C4⋊C4C2312yes—
413C22×C4⋊C4C2311yescharacteristic
414C22×C4⋊C4C2312yes—
415C22×C4⋊C4C2311yescharacteristic
416C22×C4⋊C4C2312yes—
417C22×C4⋊C4C2312yes—
418C22×C22⋊C4C2312yes—
419C22×C22⋊C4C2312yes—
420C22×C22⋊C4C2312yes—
421C22×C22⋊C4C2312yes—
422C22×C22⋊C4C2312yes—
423C22×C42C2311yescharacteristic
424C22×C42C2311yescharacteristic
425C22×C42C2311yescharacteristic
426C22×C42C2312yes—
427C22×C42C2312yes—
428#400C2312yes—
429#400C2312yes—
430#400C2314yes—
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2314yes—
435#400C2312yes—
436#400C2314yes—
437#400C2314yes—
438#400C2314yes—
439#400C2312yes—
440#399C2312yes—
441#399C2314yes—
442#399C2312yes—
443#399C2312yes—
444#399C2314yes—
445#399C2314yes—
446#399C2312yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2312yes—
455#398C2312yes—
456#398C2314yes—
457#398C2314yes—
458#398C2312yes—
459#398C2314yes—
460#398C2312yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2312yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2312yes—
470#397C2312yes—
471#397C2314yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2312yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2312yes—
491#397C2314yes—
492#397C2312yes—
493#397C2312yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2312yes—
499#396C2314yes—
500#396C2312yes—
501#396C2314yes—
502#396C2314yes—
503#396C2312yes—
504#396C2312yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#395C2312yes—
515#395C2312yes—
516#395C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2312yes—
540#394C2312yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2312yes—
551#394C2312yes—
552#393C2314yes—
553#393C2314yes—
554#393C2312yes—
555#393C2312yes—
556#393C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#391C2312yes—
565#391C2312yes—
566#391C2311yescharacteristic
567#391C2311yescharacteristic
568#391C2311yescharacteristic
569#391C2311yescharacteristic
570#391C2312yes—
571#391C2312yes—
572#391C2312yes—
573#391C2312yes—
574#391C2311yescharacteristic
575#391C2311yescharacteristic
576#391C2314yes—
577#391C2311yescharacteristic
578#391C2311yescharacteristic
579#391C2311yescharacteristic
580#391C2311yescharacteristic
581#390C2311yescharacteristic
582#390C2311yescharacteristic
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2311yescharacteristic
590#390C2311yescharacteristic
591#390C2312yes—
592#390C2312yes—
593#390C2314yes—
594#390C2314yes—
595#390C2314yes—
596#390C2314yes—
597#390C2314yes—
598#390C2314yes—
599#390C2311yescharacteristic
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2311yescharacteristic
604#390C2314yes—
605#390C2311yescharacteristic
606#390C2312yes—
607#390C2311yescharacteristic
608#390C2314yes—
609#390C2314yes—
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2311yescharacteristic
615#390C2311yescharacteristic
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2314yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2314yes—
631#389C2312yes—
632#389C2314yes—
633#389C2314yes—
634#389C2311yescharacteristic
635#389C2311yescharacteristic
636#389C2312yes—
637#389C2312yes—
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2312yes—
641#389C2312yes—
642#388C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2312yes—
662#388C2314yes—
663#388C2314yes—
664#388C2312yes—
665#388C2312yes—
666#387C2312yes—
667#387C2312yes—
668#387C2312yes—
669#387C2312yes—
670#387C2314yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2314yes—
676#387C2314yes—
677#387C2314yes—
678#387C2314yes—
679#387C2312yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#386C2312yes—
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2312yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2312yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2312yes—
713#386C2312yes—
714#386C2312yes—
715#386C2312yes—
716#386C2312yes—
717#385C2312yes—
718#385C2312yes—
719#385C2312yes—
720#385C2312yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2312yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2312yes—
736#385C2314yes—
737#385C2312yes—
738#385C2314yes—
739#385C2312yes—
740#385C2314yes—
741#385C2314yes—
742#384C2312yes—
743#384C2312yes—
744#384C2311yescharacteristic
745#384C2311yescharacteristic
746#384C2311yescharacteristic
747#384C2311yescharacteristic
748#384C2312yes—
749#384C2312yes—
750#382C2311yescharacteristic
751#382C2311yescharacteristic
752#382C2314yes—
753#382C2312yes—
754#382C2312yes—
755#382C2311yescharacteristic
756#382C2311yescharacteristic
757#382C2312yes—
758#382C2312yes—
759#382C2314yes—
760#382C2314yes—
761#381C2314yes—
762#381C2314yes—
763#381C2314yes—
764#381C2312yes—
765#381C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2314yes—
781#380C2314yes—
782#380C2314yes—
783#380C2314yes—
784#380C2314yes—
785#380C2314yes—
786#380C2314yes—
787#380C2314yes—
788#379C2314yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C22⋊C4C2314yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C2×#95C2311yescharacteristic
819C2×#95C2311yescharacteristic
820C2×#95C2312yes—
821C2×#95C2312yes—
822C25C2412yes—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×D4—24no—
838C22×D4—24no—
839C22×D4—24no—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2414yes—
851C22×D4C2414yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C23×C4—44no—
859C23×C4—44no—
860C23×C4—82no—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2411yescharacteristic
866C23×C4C2412yes—
867C23×C4C2412yes—
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2411yescharacteristic
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2414yes—
875C23×C4C2414yes—
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2414yes—
880C23×C4C2411yescharacteristic
881C4⋊Q8—42no—
882C4⋊Q8—42no—
883C4⋊Q8—42no—
884#127—42no—
885#127—44no—
886#127—44no—
887#127—44no—
888#125—44no—
889#125—44no—
890#125—44no—
891#125—44no—
892#125—42no—
893#125—42no—
894#125—84no—
895#124—42no—
896#124—42no—
897#124—44no—
898#124—44no—
899#124—44no—
900#124—48no—
901#124—84no—
902#123—44no—
903#123—48no—
904#123—44no—
905#123—84no—
906#123—84no—
907#123—84no—
908#123—84no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912C22⋊Q8—44no—
913C22⋊Q8—44no—
914C22⋊Q8—44no—
915C22⋊Q8—44no—
916C22⋊Q8—44no—
917C22⋊Q8—84no—
918#121—48no—
919#121—48no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—44no—
925#121—44no—
926#121—44no—
927#121—44no—
928#121—44no—
929#121—44no—
930#121—44no—
931#121—44no—
932#121—48no—
933#121—48no—
934#121—84no—
935#121—84no—
936#121—84no—
937#121—84no—
938#121—84no—
939#120—48no—
940#120—48no—
941#120—48no—
942C4×Q8—44no—
943C4×Q8—44no—
944C4×Q8—42no—
945C4×Q8—42no—
946C4×Q8—42no—
947C4×Q8—42no—
948C4×Q8—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—42no—
954C4×D4—42no—
955C4×D4—42no—
956C4×D4—42no—
957C4×D4—44no—
958C4×D4—44no—
959C4×D4—44no—
960C4×D4—44no—
961C4×D4—44no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—48no—
965#117—24no—
966#117—24no—
967#117—24no—
968#117—24no—
969#117—24no—
970#117—44no—
971#117—44no—
972#117—44no—
973C2×C4⋊C4—24no—
974C2×C4⋊C4—24no—
975C2×C4⋊C4—24no—
976C2×C4⋊C4—42no—
977C2×C4⋊C4—42no—
978C2×C4⋊C4—44no—
979C2×C4⋊C4—44no—
980C2×C4⋊C4—44no—
981C2×C4⋊C4—82no—
982C2×C4⋊C4—82no—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C22⋊C4—44no—
1051C2×C22⋊C4—44no—
1052C2×C22⋊C4—82no—
1053C2×C22⋊C4—82no—
1054C2×C22⋊C4—82no—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C42—24no—
1122C2×C42—24no—
1123C2×C42—24no—
1124C2×C42—44no—
1125C2×C42—44no—
1126C2×C42C2411yescharacteristic
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2411yescharacteristic
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2414yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2414yes—
1149C2×C42C2414yes—
1150#95C2411yescharacteristic
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2411yescharacteristic
1154#95C2411yescharacteristic
1155#95C2411yescharacteristic
1156#95C2411yescharacteristic
1157#95C2411yescharacteristic
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
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#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212C24—24no—
1213C24—24no—
1214C24—24no—
1215C24—42no—
1216C24—42no—
1217C24—42no—
1218C24—42no—
1219C24C2514yes—
1220C24C2512yes—
1221C24C2512yes—
1222C24C2512yes—
1223C24C2511yescharacteristic
1224#41—416no—
1225#41—416no—
1226#41—416no—
1227C2×Q8—22no—
1228C2×Q8—22no—
1229C2×Q8—22no—
1230C2×Q8—22no—
1231C2×Q8—22no—
1232C2×Q8—22no—
1233C2×Q8—22no—
1234C2×Q8—22no—
1235C2×Q8—22no—
1236C2×Q8—24no—
1237C2×Q8—42no—
1238C2×Q8—42no—
1239C2×Q8—42no—
1240C2×Q8—42no—
1241C2×Q8—42no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—24no—
1251C2×D4—24no—
1252C2×D4—22no—
1253C2×D4—24no—
1254C2×D4—22no—
1255C2×D4—22no—
1256C2×D4—24no—
1257C2×D4—22no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—22no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—24no—
1267C2×D4—42no—
1268C2×D4—42no—
1269C2×D4—42no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
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—44no—
1290C2×D4—44no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—416no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—24no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—24no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—24no—
1318C22×C4—28no—
1319C22×C4—41no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—41no—
1323C22×C4—42no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—41no—
1329C22×C4—41no—
1330C22×C4—41no—
1331C22×C4—42no—
1332C22×C4—42no—
1333C22×C4—42no—
1334C22×C4—41no—
1335C22×C4—41no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—44no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—816no—
1355C22×C4H(5,𝔽2)14yes—
1356C22×C4H(5,𝔽2)14yes—
1357C22×C42−1+414yes—
1358C22×C4C2511yescharacteristic
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2511yescharacteristic
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2514yes—
1372C22×C4C2511yescharacteristic
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2514yes—
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2514yes—
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—22no—
1395C4⋊C4—22no—
1396C4⋊C4—22no—
1397C4⋊C4—22no—
1398C4⋊C4—22no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—41no—
1411C4⋊C4—41no—
1412C4⋊C4—41no—
1413C4⋊C4—41no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—42no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—44no—
1446C4⋊C4—42no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—44no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—28no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—42no—
1479C22⋊C4—42no—
1480C22⋊C4—42no—
1481C22⋊C4—42no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—44no—
1507C22⋊C4—42no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—42no—
1521C42—22no—
1522C42—22no—
1523C42—22no—
1524C42—22no—
1525C42—22no—
1526C42—22no—
1527C42—22no—
1528C42—22no—
1529C42—22no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—24no—
1534C42—24no—
1535C42—24no—
1536C42—24no—
1537C42—24no—
1538C42—42no—
1539C42—42no—
1540C42—42no—
1541C42—42no—
1542C42—44no—
1543C42—44no—
1544C42—44no—
1545C23—21no—
1546C23—21no—
1547C23—21no—
1548C23—21no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—24no—
1553C23—24no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—22no—
1559C23—22no—
1560C23—24no—
1561C23—22no—
1562C23—22no—
1563C23—24no—
1564C23—22no—
1565C23—22no—
1566C23—22no—
1567C23—22no—
1568C23—24no—
1569C23—24no—
1570C23—22no—
1571C23—22no—
1572C23—24no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—48no—
1578C23—48no—
1579C23—48no—
1580C23—84no—
1581C23—84no—
1582C23—84no—
1583C23—84no—
1584C23C2×H(5,𝔽2)12yes—
1585C23C2×H(5,𝔽2)12yes—
1586C23C2×2−1+412yes—
1587C23C2611yescharacteristic
1588Q8—44no—
1589Q8—44no—
1590Q8—44no—
1591Q8—84no—
1592Q8—84no—
1593D4—48no—
1594D4—48no—
1595D4—48no—
1596D4—48no—
1597D4—48no—
1598D4—44no—
1599D4—44no—
1600D4—44no—
1601D4—84no—
1602D4—84no—
1603D4—164no—
1604D4—164no—
1605D4—164no—
1606D4—164no—
1607D4—164no—
1608D4—164no—
1609D4—164no—
1610D4—164no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—24no—
1641C2×C4—24no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—24no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—24no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—24no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—24no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—24no—
1684C2×C4—24no—
1685C2×C4—22no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—21no—
1692C2×C4—22no—
1693C2×C4—44no—
1694C2×C4—44no—
1695C2×C4—48no—
1696C2×C4—48no—
1697C2×C4—48no—
1698C2×C4—48no—
1699C2×C4—84no—
1700C2×C4—88no—
1701C2×C4—82no—
1702C2×C4—84no—
1703C2×C4—82no—
1704C2×C4—82no—
1705C2×C4—82no—
1706C2×C4—84no—
1707C2×C4—84no—
1708C2×C4—84no—
1709C2×C4—84no—
1710C2×C4—88no—
1711C2×C4—164no—
1712C2×C4#562116yes—
1713C2×C4C2×H(5,𝔽2)12yes—
1714C2×C4C2×H(5,𝔽2)12yes—
1715C2×C4C2×H(5,𝔽2)12yes—
1716C2×C4C2×H(5,𝔽2)12yes—
1717C2×C4C2×2−1+412yes—
1718C2×C4C2×2−1+412yes—
1719C2×C4#58512yes—
1720C2×C4#58512yes—
1721C22—22no—
1722C22—22no—
1723C22—22no—
1724C22—22no—
1725C22—22no—
1726C22—22no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—44no—
1731C22—42no—
1732C22—42no—
1733C22—42no—
1734C22—44no—
1735C22—44no—
1736C22—42no—
1737C22—42no—
1738C22—42no—
1739C22—42no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—44no—
1746C22—44no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—44no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—44no—
1755C22—816no—
1756C22C2×#56214yes—
1757C22C22×H(5,𝔽2)11yescharacteristic
1758C22C22×H(5,𝔽2)11yescharacteristic
1759C22C22×2−1+411yescharacteristic
1760C22C2×#58511yescharacteristic
1761C22C2×#58511yescharacteristic
1762C22H(7,𝔽2)11yescharacteristic
1763C22H(7,𝔽2)11yescharacteristic
1764C4—22no—
1765C4—22no—
1766C4—41no—
1767C4—42no—
1768C4—42no—
1769C4—42no—
1770C4—41no—
1771C4—44no—
1772C4—42no—
1773C4—41no—
1774C4—42no—
1775C4—42no—
1776C4—44no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—42no—
1781C4—42no—
1782C4—42no—
1783C4—42no—
1784C4—42no—
1785C4—42no—
1786C4—41no—
1787C4—41no—
1788C4—41no—
1789C4—41no—
1790C4—44no—
1791C4—42no—
1792C4C2×#56214yes—
1793C4C2×#56214yes—
1794C2—24no—
1795C2—82no—
1796C2—82no—
1797C2—82no—
1798C2—84no—
1799C2C22×#56211yescharacteristic
1800C2#6283011yescharacteristic
1801C2#6288011yescharacteristic
1802C2#6292411yescharacteristic
1803C2#6292611yescharacteristic
1804C2#6292611yescharacteristic
1805C2#6295511yescharacteristic
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. #53110C2semidirect
2. #53105C2semidirect
3. #53069C2semidirect
4. #53057C2semidirect
5. #53029C2semidirect
6. #53016C2semidirect
7. #52976C2semidirect
8. #52973C2semidirect
9. #52425C2semidirect
10. #52343C2semidirect
11. #45711C2semidirect
12. #45695C2semidirect
13. #45689C2semidirect
14. #45662C2semidirect
15. #45649C2semidirect
16. #45610C2semidirect
17. #45602C2semidirect
18. #45530C2semidirect
19. #45516C2semidirect
20. #45462C2semidirect
21. #35649C2semidirect
22. #35564C2semidirect
23. #35556C2semidirect
24. #35543C2semidirect
25. #35531C2semidirect
26. #35519C2semidirect
27. #35333C2semidirect
28. #35256C2semidirect
29. #35256C2semidirect
30. #35255C2semidirect
31. #35165C2semidirect
32. #35152C2semidirect
33. #34947C2semidirect
34. #34744C2semidirect
35. C2×#2454C2semidirect
50. #2855C22semidirect
51. #2854C22semidirect
52. #2851C22semidirect
53. #2851C22semidirect
58. #2841C22semidirect
59. #2837C22semidirect
60. #2837C22semidirect
61. #2836C22semidirect
62. #2830C22semidirect
63. #2829C22semidirect
64. #2829C22semidirect
65. #2829C22semidirect
66. #2829C22semidirect
67. #2829C22semidirect
68. #2827C22semidirect
69. #2827C22semidirect
70. #2827C22semidirect
71. #2826C22semidirect
72. #2826C22semidirect
73. #2820C22semidirect
74. #2816C22semidirect
75. #2814C22semidirect
76. #2813C22semidirect
77. #2813C22semidirect
78. #2798C22semidirect
79. #2786C22semidirect
80. #2786C22semidirect
81. #2783C22semidirect
82. #2781C22semidirect
83. #2779C22semidirect
84. #2772C22semidirect
85. #2768C22semidirect
86. #2761C22semidirect
87. #2761C22semidirect
88. #2751C22semidirect
89. #2747C22semidirect
90. #2744C22semidirect
91. #2743C22semidirect
92. #2741C22semidirect
93. #2741C22semidirect
94. #2740C22semidirect
95. #2740C22semidirect
96. #2730C22semidirect
97. #2711C22semidirect
98. #2711C22semidirect
99. #2710C22semidirect
100. #2708C22semidirect
101. #2708C22semidirect
102. #2708C22semidirect
103. #2706C22semidirect
104. #2706C22semidirect
105. #2701C22semidirect
106. #2701C22semidirect
107. #2696C22semidirect
108. #2694C22semidirect
109. #2687C22semidirect
110. #2686C22semidirect
111. #2682C22semidirect
112. #2682C22semidirect
113. #2676C22semidirect
114. #2676C22semidirect
115. #2672C22semidirect
116. #2671C22semidirect
117. #2671C22semidirect
118. #2629C22semidirect
119. #2629C22semidirect
120. #2625C22semidirect
121. #2624C22semidirect
131. #2582C22semidirect
132. #2581C22semidirect
133. #2580C22semidirect
136. #2571C22semidirect
137. #2570C22semidirect
138. #2570C22semidirect
139. #2568C22semidirect
140. #2567C22semidirect
141. #2566C22semidirect
142. #2566C22semidirect
143. #2566C22semidirect
144. #2566C22semidirect
145. #2565C22semidirect
146. #2565C22semidirect
147. #2565C22semidirect
148. #2565C22semidirect
151. #2563C22semidirect
152. #2552C22semidirect
159. #2542C22semidirect
161. #2538C22semidirect
166. #2509C22semidirect
167. #2508C22semidirect
168. #2507C22semidirect
169. #2506C22semidirect
180. #2490C22semidirect
181. #2490C22semidirect
182. #2490C22semidirect
183. #2490C22semidirect
184. #2489C22semidirect
185. #2489C22semidirect
186. #2489C22semidirect
187. #2489C22semidirect
203. #2448C22semidirect
204. #2448C22semidirect
207. #2447C22semidirect
208. #2447C22semidirect
209. #2446C22semidirect
210. #2446C22semidirect
215. #2445C22semidirect
216. #2445C22semidirect
223. #2442C22semidirect
224. #2441C22semidirect
225. #2440C22semidirect
226. #2439C22semidirect
227. #2429C22semidirect
232. #2428C22semidirect
233. #2427C22semidirect
238. #2426C22semidirect
243. #2423C22semidirect
246. #2422C22semidirect
247. #2421C22semidirect
250. #2420C22semidirect
255. #2417C22semidirect
257. #2416C22semidirect
258. #2415C22semidirect
259. #2414C22semidirect
260. #2396C22semidirect
261. #2396C22semidirect
262. #2395C22semidirect
263. #2395C22semidirect
266. #2379C22semidirect
267. #2377C22semidirect
268. #2377C22semidirect
269. #2376C22semidirect
279. C4×C22⋊Q8C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×#123C22semidirect
282. C4×#123C22semidirect

Maximal subgroups

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

subgroupindex
#531102
#531052
#530692
#530572
#530292
#530162
#529762
#529732
#524252
#523432
#457112
#456952
#456892
#456622
#456492
#456102
#456022
#455302
#455162
#454622
#356492
#355642
#355562
#355432
#355312
#355192
#353332
#352562
#352552
#351652
#351522
#349472
#347442
C2×#24542