Finite Group Databasebeta

← #7673913

Subgroups — #7673913

Order 512.

5332 conjugacy classes of subgroups.

The subgroup lattice has 1790 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#45298C212yesmaximal, complemented
2#45285C212yesmaximal, complemented
3#45194C212yesmaximal, complemented
4#45069C212yesmaximal, complemented
5#45068C212yesmaximal, complemented
6#45038C212yesmaximal, complemented
7#45033C212yesmaximal, complemented
8#45028C212yesmaximal, complemented
9#39278C214yesmaximal, complemented
10#39277C214yesmaximal, complemented
11#39144C214yesmaximal, complemented
12#39140C214yesmaximal, complemented
13#39059C212yesmaximal, complemented
14#39056C212yesmaximal, complemented
15#39055C212yesmaximal, complemented
16#39052C212yesmaximal, complemented
17#38131C212yesmaximal, complemented
18#38129C212yesmaximal, complemented
19#38125C212yesmaximal, complemented
20#38123C212yesmaximal, complemented
21#35585C211yesmaximal, characteristic, complemented
22#35564C211yesmaximal, characteristic, complemented
23#35533C211yesmaximal, characteristic, complemented
24#35531C211yesmaximal, characteristic, complemented
25#35256C211yesmaximal, characteristic, complemented
26#35254C211yesmaximal, characteristic, complemented
27#35168C211yesmaximal, characteristic, complemented
28#35160C211yesmaximal, characteristic, complemented
29#34639C211yesmaximal, characteristic, complemented
30#34274C211yesmaximal, characteristic, complemented
31#34267C211yesmaximal, characteristic, complemented
32#34265C211yesmaximal, characteristic, complemented
33#34250C211yesmaximal, characteristic, complemented
34#34070C211yesmaximal, characteristic, complemented
35C2×#2319C211yesmaximal, characteristic, complemented
36C2×#537C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#535C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×#520C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×C4×#41C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C22×C4×D4C2211yescharacteristic
48#2856C2212yes—
49#2854C2212yes—
50#2854C2212yes—
51#2852C2214yes—
52#2850C2212yes—
53#2847C2214yes—
54#2803C2214yescomplemented
55#2801C2214yescomplemented
56#2800C2214yescomplemented
57#2796C2214yescomplemented
58#2795C2214yescomplemented
59#2780C2214yescomplemented
60#2780C2214yescomplemented
61#2779C2214yescomplemented
62#2779C2214yescomplemented
63#2778C2214yescomplemented
64#2778C2214yescomplemented
65#2778C2214yescomplemented
66#2777C2214yescomplemented
67#2772C2214yescomplemented
68#2756C2214yescomplemented
69#2753C2214yescomplemented
70#2753C2214yescomplemented
71#2746C2214yescomplemented
72#2746C2214yescomplemented
73#2741C2214yescomplemented
74#2739C2214yescomplemented
75#2739C2214yescomplemented
76#2718C2214yescomplemented
77#2714C2214yescomplemented
78#2711C2214yescomplemented
79#2708C2214yescomplemented
80#2708C2214yescomplemented
81#2703C2214yescomplemented
82#2701C2214yescomplemented
83#2701C2214yescomplemented
84#2688C2214yescomplemented
85#2688C2214yescomplemented
86#2645C2211yescharacteristic, complemented
87#2645C2211yescharacteristic, complemented
88#2645C2211yescharacteristic, complemented
89#2645C2211yescharacteristic, complemented
90#2644C2211yescharacteristic, complemented
91#2644C2211yescharacteristic, complemented
92#2644C2211yescharacteristic, complemented
93#2644C2211yescharacteristic, complemented
94#2643C2212yes—
95#2643C2212yes—
96#2643C2212yes—
97#2643C2212yes—
98#2643C2214yes—
99#2624C2212yes—
100#2624C2212yes—
101#2620C2212yes—
102#2619C2212yes—
103#2617C2214yes—
104#2602C2214yescomplemented
105#2602C2214yescomplemented
106#2597C2214yescomplemented
107#2596C2214yescomplemented
108#2595C2214yescomplemented
109#2594C2214yescomplemented
110#2593C2214yescomplemented
111#2591C2214yescomplemented
112#2576C2214yescomplemented
113#2576C2214yescomplemented
114#2569C2214yes—
115#2562C2214yescomplemented
116#2559C2214yescomplemented
117#2558C2214yescomplemented
118#2554C2214yescomplemented
119#2548C2212yes—
120#2545C2212yes—
121#2544C2212yes—
122#2543C2214yes—
123#2543C2214yescomplemented
124#2541C2212yes—
125#2535C2214yescomplemented
126#2518C2214yescomplemented
127#2516C2214yescomplemented
128#2516C2214yescomplemented
129#2514C2212yescomplemented
130#2513C2212yescomplemented
131#2512C2212yescomplemented
132#2511C2212yescomplemented
133#2510C2214yescomplemented
134#2509C2212yescomplemented
135#2509C2212yescomplemented
136#2508C2212yescomplemented
137#2508C2212yescomplemented
138#2507C2212yescomplemented
139#2507C2212yescomplemented
140#2506C2212yescomplemented
141#2506C2212yescomplemented
142#2504C2212yes—
143#2501C2212yes—
144#2500C2212yes—
145#2500C2212yes—
146#2497C2212yescomplemented
147#2497C2214yescomplemented
148#2496C2212yescomplemented
149#2495C2212yescomplemented
150#2494C2212yescomplemented
151#2494C2214yescomplemented
152#2490C2214yescomplemented
153#2487C2214yescomplemented
154#2457C2214yescomplemented
155#2457C2214yescomplemented
156#2456C2214yescomplemented
157#2448C2212yes—
158#2448C2212yes—
159#2448C2212yes—
160#2448C2212yes—
161#2445C2212yes—
162#2445C2212yes—
163#2445C2212yes—
164#2445C2212yes—
165#2444C2214yescomplemented
166#2444C2214yescomplemented
167#2443C2214yescomplemented
168#2442C2214yes—
169#2429C2212yescomplemented
170#2428C2212yes—
171#2428C2212yes—
172#2428C2212yes—
173#2428C2212yes—
174#2428C2212yes—
175#2428C2212yes—
176#2428C2212yescomplemented
177#2427C2212yes—
178#2427C2212yes—
179#2427C2212yes—
180#2427C2212yes—
181#2427C2212yescomplemented
182#2426C2212yes—
183#2426C2212yes—
184#2426C2212yescomplemented
185#2424C2214yes—
186#2424C2214yes—
187#2424C2214yes—
188#2424C2214yes—
189#2422C2214yescomplemented
190#2418C2214yes—
191#2418C2214yes—
192#2418C2214yes—
193#2418C2214yes—
194#2417C2212yescomplemented
195#2416C2214yes—
196#2416C2212yes—
197#2416C2212yes—
198#2416C2212yescomplemented
199#2416C2214yescomplemented
200#2415C2212yescomplemented
201#2414C2212yes—
202#2414C2212yes—
203#2414C2212yescomplemented
204#2401C2212yescomplemented
205#2401C2212yescomplemented
206#2401C2212yescomplemented
207#2401C2212yescomplemented
208#2367C2212yes—
209#2367C2212yes—
210#2366C2212yes—
211#2366C2212yes—
212#2364C2214yes—
213#2363C2212yes—
214#2363C2212yes—
215#2363C2212yescomplemented
216#2363C2212yescomplemented
217#2363C2212yescomplemented
218#2362C2212yescomplemented
219#2362C2212yescomplemented
220#2362C2212yescomplemented
221#2361C2214yes—
222#2361C2212yes—
223#2361C2212yes—
224#2361C2212yescomplemented
225#2361C2212yescomplemented
226#2361C2212yescomplemented
227#2360C2212yescomplemented
228#2360C2212yescomplemented
229#2360C2212yescomplemented
230#2351C2212yescomplemented
231Q8×C4⋊C4C2212yescomplemented
232#2349C2214yes—
233#2349C2212yescomplemented
234D4×C4⋊C4C2214yes—
235D4×C4⋊C4C2212yescomplemented
236#2328C2211yescharacteristic, complemented
237#2328C2211yescharacteristic, complemented
238#2327C2211yescharacteristic, complemented
239#2327C2211yescharacteristic, complemented
240#2326C2211yescharacteristic, complemented
241#2326C2211yescharacteristic, complemented
242#2326C2211yescharacteristic, complemented
243#2326C2211yescharacteristic, complemented
244#2325C2212yes—
245#2325C2212yes—
246#2325C2212yes—
247#2325C2212yes—
248#2325C2214yes—
249#2324C2212yescomplemented
250#2323C2212yescomplemented
251#2321C2214yes—
252#2319C2212yes—
253#2319C2212yes—
254#2319C2212yes—
255#2319C2212yes—
256#2319C2212yes—
257#2319C2212yes—
258#2319C2212yes—
259#2319C2212yes—
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2317C2212yescomplemented
263#2316C2211yescharacteristic
264#2316C2211yescharacteristic
265#2316C2212yescomplemented
266#2311C2211yescharacteristic
267#2311C2211yescharacteristic
268#2309C2211yescharacteristic
269C4×C22⋊Q8C2212yescomplemented
270C4×#121C2214yes—
271C4×#121C2212yescomplemented
272C4×#120C2214yes—
273#2297C2211yescharacteristic
274#2297C2211yescharacteristic
275#2297C2211yescharacteristic
276#2297C2211yescharacteristic
277#2297C2211yescharacteristic
278#2296C2211yescharacteristic
279#2296C2211yescharacteristic
280#2296C2211yescharacteristic
281#2296C2212yescomplemented
282C2×#390C2211yescharacteristic
283C2×#390C2211yescharacteristic
284C2×#389C2211yescharacteristic
285C2×#389C2211yescharacteristic
286C2×#389C2212yescomplemented
287#2290C2212yescomplemented
288#2290C2212yescomplemented
289#2290C2212yescomplemented
290#2290C2212yescomplemented
291C2×#388C2212yes—
292C2×#388C2212yes—
293#2285C2211yescharacteristic
294C2×#381C2212yes—
295C2×#380C2212yes—
296#2274C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×#376C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302C23×D4C2311yescharacteristic
303C24×C4C2312yes—
304#537—28no—
305#537—28no—
306#535—28no—
307#535—44no—
308#535—44no—
309#532—28no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×#127C2311yescharacteristic
312C2×#127C2312yes—
313C2×#127C2312yes—
314C2×#127C2312yes—
315C2×#126C2314yes—
316C2×#125C2314yes—
317C2×#124C2311yescharacteristic
318C2×#124C2311yescharacteristic
319C2×#124C2312yes—
320C2×#124C2312yes—
321C2×#124C2312yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2314yes—
325C2×#123C2314yes—
326C2×C22⋊Q8C2312yes—
327C2×C22⋊Q8C2312yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2312yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2312yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2312yes—
342C2×#121C2312yes—
343C2×#121C2312yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2314yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2314yes—
351C2×#120C2314yes—
352C2×#120C2314yes—
353C2×#120C2314yes—
354#520—28no—
355#520—44no—
356#520—44no—
357C4×#41—44no—
358C4×#41—44no—
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2312yes—
361C2×C4×Q8C2311yescharacteristic
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2312yes—
366C2×C4×D4—28no—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2314yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2312yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2314yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2311yescharacteristic
384C2×C4×D4C2311yescharacteristic
385C2×C4×D4C2311yescharacteristic
386C2×C4×D4C2312yes—
387C2×C4×D4C2314yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2314yes—
391C2×#117C2311yescharacteristic
392C2×#117C2311yescharacteristic
393C2×#117C2311yescharacteristic
394C2×#117C2311yescharacteristic
395C2×#117C2311yescharacteristic
396C2×#117C2312yes—
397C2×#117C2312yes—
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2312yes—
401C22×C4⋊C4C2311yescharacteristic
402C22×C4⋊C4C2311yescharacteristic
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C4⋊C4C2314yes—
407C22×C4⋊C4C2312yes—
408C22×C4⋊C4C2312yes—
409C22×C4⋊C4C2311yescharacteristic
410C22×C22⋊C4C2312yes—
411C22×C22⋊C4C2312yes—
412C22×C22⋊C4C2312yes—
413C22×C22⋊C4C2312yes—
414C22×C22⋊C4C2312yes—
415C22×C42C2311yescharacteristic
416C22×C42C2311yescharacteristic
417C22×C42C2311yescharacteristic
418C22×C42C2312yes—
419C22×C42C2312yes—
420C22×C42C2312yes—
421#401C2312yes—
422#401C2314yes—
423#401C2312yes—
424#401C2312yes—
425#401C2312yes—
426#400C2312yes—
427#400C2314yes—
428#400C2314yes—
429#400C2314yes—
430#400C2312yes—
431#400C2312yes—
432#400C2312yes—
433#400C2314yes—
434#400C2312yes—
435#400C2312yes—
436#400C2312yes—
437#400C2312yes—
438#400C2312yes—
439#400C2312yes—
440#400C2312yes—
441#400C2312yes—
442#400C2314yes—
443#400C2314yes—
444#400C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#397C2312yes—
455#397C2314yes—
456#397C2314yes—
457#397C2312yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2312yes—
463#397C2314yes—
464#397C2312yes—
465#397C2312yes—
466#397C2312yes—
467#397C2312yes—
468#397C2312yes—
469#397C2312yes—
470#397C2312yes—
471#397C2312yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2312yes—
480#396C2312yes—
481#396C2312yes—
482#396C2312yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#392C2314yes—
511#392C2314yes—
512#392C2314yes—
513#392C2314yes—
514#392C2314yes—
515#392C2314yes—
516#392C2314yes—
517#391C2312yes—
518#391C2312yes—
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2311yescharacteristic
522#391C2311yescharacteristic
523#391C2311yescharacteristic
524#391C2311yescharacteristic
525#391C2311yescharacteristic
526#391C2311yescharacteristic
527#391C2311yescharacteristic
528#391C2311yescharacteristic
529#390C2312yes—
530#390C2312yes—
531#390C2312yes—
532#390C2312yes—
533#390C2312yes—
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2314yes—
544#390C2314yes—
545#390C2311yescharacteristic
546#390C2314yes—
547#390C2311yescharacteristic
548#390C2311yescharacteristic
549#390C2311yescharacteristic
550#390C2311yescharacteristic
551#390C2314yes—
552#390C2314yes—
553#390C2314yes—
554#390C2311yescharacteristic
555#390C2311yescharacteristic
556#390C2314yes—
557#390C2311yescharacteristic
558#390C2311yescharacteristic
559#390C2311yescharacteristic
560#390C2314yes—
561#390C2314yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2311yescharacteristic
571#389C2312yes—
572#389C2312yes—
573#389C2314yes—
574#389C2314yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2311yescharacteristic
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2311yescharacteristic
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2314yes—
603#388C2312yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2312yes—
627#388C2312yes—
628#388C2312yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2312yes—
653#387C2314yes—
654#387C2314yes—
655#387C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2312yes—
659#387C2312yes—
660#387C2312yes—
661#387C2312yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2312yes—
678#386C2312yes—
679#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#386C2312yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
687#386C2312yes—
688#386C2312yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2312yes—
700#386C2312yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2312yes—
705#386C2312yes—
706#386C2312yes—
707#386C2314yes—
708#386C2314yes—
709#385C2312yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2312yes—
715#385C2314yes—
716#385C2312yes—
717#385C2314yes—
718#385C2312yes—
719#385C2312yes—
720#385C2312yes—
721#385C2312yes—
722#385C2312yes—
723#385C2312yes—
724#385C2312yes—
725#385C2314yes—
726#385C2312yes—
727#385C2314yes—
728#385C2312yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2312yes—
734#385C2312yes—
735#384C2312yes—
736#384C2312yes—
737#384C2314yes—
738#384C2311yescharacteristic
739#384C2311yescharacteristic
740#383C2314yes—
741#382C2312yes—
742#382C2312yes—
743#382C2314yes—
744#382C2311yescharacteristic
745#382C2311yescharacteristic
746#382C2314yes—
747#381C2314yes—
748#381C2314yes—
749#381C2314yes—
750#381C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2314yes—
761#380C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2314yes—
765#380C2314yes—
766#380C2312yes—
767#380C2314yes—
768#379C2314yes—
769C4×C4⋊C4C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806#376C2311yescharacteristic
807#376C2311yescharacteristic
808#376C2311yescharacteristic
809#376C2311yescharacteristic
810#376C2311yescharacteristic
811#376C2311yescharacteristic
812#376C2311yescharacteristic
813#376C2311yescharacteristic
814C2×#95C2312yes—
815C2×#95C2311yescharacteristic
816C2×#95C2311yescharacteristic
817C2×#95C2311yescharacteristic
818C2×#95C2311yescharacteristic
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2314yes—
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#4118yes—
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2411yescharacteristic
835C22×D4—24no—
836C22×D4—24no—
837C22×D4—24no—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2414yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C23×C4—28no—
857C23×C4—82no—
858C23×C4—82no—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2411yescharacteristic
865C23×C4C2412yes—
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2414yes—
870C23×C4C2414yes—
871C23×C4C2414yes—
872C23×C4C2411yescharacteristic
873C23×C4C2414yes—
874C23×C4C2412yes—
875C23×C4C2414yes—
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2411yescharacteristic
881C4⋊Q8—24no—
882#127—24no—
883#127—28no—
884#127—44no—
885#127—44no—
886#126—84no—
887#125—84no—
888#124—24no—
889#124—28no—
890#124—24no—
891#124—44no—
892#124—44no—
893#123—84no—
894#123—84no—
895#123—84no—
896#123—84no—
897C22⋊Q8—28no—
898C22⋊Q8—28no—
899C22⋊Q8—28no—
900C22⋊Q8—28no—
901#121—28no—
902#121—28no—
903#121—28no—
904#121—216no—
905#121—28no—
906#121—28no—
907#121—28no—
908#121—216no—
909#121—28no—
910#121—28no—
911#121—44no—
912#121—44no—
913#121—44no—
914#121—44no—
915#121—84no—
916#121—84no—
917#121—84no—
918#121—84no—
919#121—84no—
920#121—84no—
921#121—84no—
922#120—216no—
923#120—48no—
924#120—48no—
925C4×Q8—28no—
926C4×Q8—42no—
927C4×Q8—42no—
928C4×Q8—42no—
929C4×Q8—42no—
930C4×Q8—44no—
931C4×Q8—44no—
932C4×D4—216no—
933C4×D4—28no—
934C4×D4—28no—
935C4×D4—28no—
936C4×D4—28no—
937C4×D4—28no—
938C4×D4—28no—
939C4×D4—28no—
940C4×D4—42no—
941C4×D4—42no—
942C4×D4—42no—
943C4×D4—42no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—48no—
951C4×D4—48no—
952C4×D4—84no—
953C4×D4—84no—
954C4×D4—84no—
955C4×D4—84no—
956#117—24no—
957#117—24no—
958#117—24no—
959#117—24no—
960#117—24no—
961#117—28no—
962#117—44no—
963#117—44no—
964#117—44no—
965#117—44no—
966C2×C4⋊C4—24no—
967C2×C4⋊C4—24no—
968C2×C4⋊C4—28no—
969C2×C4⋊C4—44no—
970C2×C4⋊C4—44no—
971C2×C4⋊C4—82no—
972C2×C4⋊C4—84no—
973C2×C4⋊C4—82no—
974C2×C4⋊C4#4118yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2411yescharacteristic
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
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×C22⋊C4—28no—
1031C2×C22⋊C4—82no—
1032C2×C22⋊C4—82no—
1033C2×C22⋊C4—82no—
1034C2×C22⋊C4—82no—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C42—24no—
1100C2×C42—24no—
1101C2×C42—24no—
1102C2×C42—44no—
1103C2×C42—44no—
1104C2×C42—82no—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2414yes—
1112C2×C42C2412yes—
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2414yes—
1124C2×C42C2414yes—
1125C2×C42C2414yes—
1126C2×C42C2412yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2414yes—
1131C2×C42C2414yes—
1132C2×C42C2414yes—
1133#95C2414yes—
1134#95C2412yes—
1135#95C2411yescharacteristic
1136#95C2411yescharacteristic
1137#95C2411yescharacteristic
1138#95C2411yescharacteristic
1139#95C2411yescharacteristic
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2411yescharacteristic
1150#95C2411yescharacteristic
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2414yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205C24—24no—
1206C24—24no—
1207C24—24no—
1208C24—42no—
1209C24—42no—
1210C24—42no—
1211C24—42no—
1212C24C2514yes—
1213C24C2512yes—
1214C24C2512yes—
1215C24C2512yes—
1216C24C2511yescharacteristic
1217#41—232no—
1218#41—416no—
1219#41—416no—
1220C2×Q8—22no—
1221C2×Q8—22no—
1222C2×Q8—22no—
1223C2×Q8—22no—
1224C2×Q8—22no—
1225C2×Q8—22no—
1226C2×Q8—22no—
1227C2×Q8—22no—
1228C2×Q8C2×#4114yes—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—28no—
1240C2×D4—28no—
1241C2×D4—28no—
1242C2×D4—22no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—22no—
1247C2×D4—22no—
1248C2×D4—22no—
1249C2×D4—24no—
1250C2×D4—22no—
1251C2×D4—28no—
1252C2×D4—22no—
1253C2×D4—22no—
1254C2×D4—22no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—42no—
1267C2×D4—42no—
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—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—416no—
1282C2×D4C2×#4118yes—
1283C2×D4C2×#4114yes—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—24no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—28no—
1301C22×C4—28no—
1302C22×C4—28no—
1303C22×C4—41no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—41no—
1307C22×C4—41no—
1308C22×C4—41no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—41no—
1318C22×C4—41no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—41no—
1322C22×C4—41no—
1323C22×C4—42no—
1324C22×C4—44no—
1325C22×C4—42no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—41no—
1337C22×C4—41no—
1338C22×C4—42no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—816no—
1346C22×C4C2×#4118yes—
1347C22×C4C2×#4118yes—
1348C22×C4C2×#4114yes—
1349C22×C4C2×#4114yes—
1350C22×C4H(5,𝔽2)14yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2512yes—
1355C22×C4C2511yescharacteristic
1356C22×C4C2511yescharacteristic
1357C22×C4C2511yescharacteristic
1358C22×C4C2511yescharacteristic
1359C22×C4C2511yescharacteristic
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2512yes—
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2512yes—
1367C22×C4C2514yes—
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2511yescharacteristic
1372C22×C4C2511yescharacteristic
1373C22×C4C2512yes—
1374C22×C4C2514yes—
1375C22×C4C2511yescharacteristic
1376C22×C4C2512yes—
1377C22×C4C2514yes—
1378C22×C4C2512yes—
1379C22×C4C2511yescharacteristic
1380C22×C4C2511yescharacteristic
1381C4⋊C4—22no—
1382C4⋊C4—28no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—22no—
1386C4⋊C4—22no—
1387C4⋊C4—22no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—28no—
1391C4⋊C4—28no—
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—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—42no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—42no—
1416C4⋊C4—42no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—44no—
1420C4⋊C4—42no—
1421C4⋊C4—42no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4C2×#4118yes—
1435C4⋊C4C2×#4118yes—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—28no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—28no—
1445C22⋊C4—28no—
1446C22⋊C4—28no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—28no—
1450C22⋊C4—28no—
1451C22⋊C4—28no—
1452C22⋊C4—28no—
1453C22⋊C4—28no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—42no—
1463C22⋊C4—42no—
1464C22⋊C4—44no—
1465C22⋊C4—42no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—42no—
1469C22⋊C4—42no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—42no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—42no—
1488C22⋊C4—42no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C42—22no—
1501C42—22no—
1502C42—22no—
1503C42—22no—
1504C42—22no—
1505C42—22no—
1506C42—22no—
1507C42—22no—
1508C42—28no—
1509C42—24no—
1510C42—24no—
1511C42—22no—
1512C42—22no—
1513C42—22no—
1514C42—22no—
1515C42—24no—
1516C42—24no—
1517C42—24no—
1518C42—42no—
1519C42—42no—
1520C42—42no—
1521C42—42no—
1522C42—44no—
1523C42—44no—
1524C42—44no—
1525C42—44no—
1526C42—44no—
1527C42—44no—
1528C23—21no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—24no—
1539C23—22no—
1540C23—22no—
1541C23—22no—
1542C23—22no—
1543C23—24no—
1544C23—24no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—24no—
1549C23—22no—
1550C23—22no—
1551C23—24no—
1552C23—24no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—22no—
1557C23—22no—
1558C23—24no—
1559C23—48no—
1560C23—48no—
1561C23—48no—
1562C23—84no—
1563C23—84no—
1564C23—84no—
1565C23—84no—
1566C23C22×#4114yes—
1567C23C22×#4112yes—
1568C23C22×#4112yes—
1569C23C2×H(5,𝔽2)12yes—
1570C23C2611yescharacteristic
1571Q8—28no—
1572Q8—44no—
1573Q8—44no—
1574D4—216no—
1575D4—28no—
1576D4—48no—
1577D4—48no—
1578D4—48no—
1579D4—48no—
1580D4—44no—
1581D4—44no—
1582D4—88no—
1583D4—84no—
1584D4—88no—
1585D4—88no—
1586D4—84no—
1587D4—88no—
1588D4—164no—
1589D4—164no—
1590D4—164no—
1591D4—164no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—216no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—24no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—24no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—22no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—22no—
1640C2×C4—22no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—24no—
1649C2×C4—22no—
1650C2×C4—24no—
1651C2×C4—22no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—48no—
1676C2×C4—44no—
1677C2×C4—44no—
1678C2×C4—48no—
1679C2×C4—48no—
1680C2×C4—88no—
1681C2×C4—88no—
1682C2×C4—88no—
1683C2×C4—82no—
1684C2×C4—82no—
1685C2×C4—84no—
1686C2×C4—82no—
1687C2×C4—82no—
1688C2×C4—84no—
1689C2×C4—84no—
1690C2×C4—84no—
1691C2×C4—84no—
1692C2×C4—84no—
1693C2×C4—164no—
1694C2×C4—164no—
1695C2×C4#553116yes—
1696C2×C4C22×#4118yes—
1697C2×C4C22×#4114yes—
1698C2×C4C22×#4112yes—
1699C2×C4C22×#4112yes—
1700C2×C4C22×#4112yes—
1701C2×C4C22×#4112yes—
1702C2×C4C2×H(5,𝔽2)12yes—
1703C2×C4C2×H(5,𝔽2)12yes—
1704C22—22no—
1705C22—22no—
1706C22—22no—
1707C22—22no—
1708C22—22no—
1709C22—22no—
1710C22—24no—
1711C22—24no—
1712C22—24no—
1713C22—42no—
1714C22—42no—
1715C22—42no—
1716C22—42no—
1717C22—44no—
1718C22—42no—
1719C22—42no—
1720C22—42no—
1721C22—42no—
1722C22—44no—
1723C22—42no—
1724C22—44no—
1725C22—42no—
1726C22—42no—
1727C22—42no—
1728C22—44no—
1729C22—42no—
1730C22—42no—
1731C22—44no—
1732C22—42no—
1733C22—42no—
1734C22—44no—
1735C22—42no—
1736C22—42no—
1737C22—44no—
1738C22—816no—
1739C22C2×#55314yes—
1740C22C23×#4111yescharacteristic
1741C22C23×#4111yescharacteristic
1742C22C22×H(5,𝔽2)11yescharacteristic
1743C22H(7,𝔽2)11yescharacteristic
1744C22H(7,𝔽2)11yescharacteristic
1745C22H(7,𝔽2)11yescharacteristic
1746C222−1+611yescharacteristic
1747C4—28no—
1748C4—24no—
1749C4—41no—
1750C4—41no—
1751C4—42no—
1752C4—42no—
1753C4—41no—
1754C4—41no—
1755C4—41no—
1756C4—41no—
1757C4—42no—
1758C4—41no—
1759C4—44no—
1760C4—41no—
1761C4—42no—
1762C4—42no—
1763C4—41no—
1764C4—41no—
1765C4—42no—
1766C4—42no—
1767C4—41no—
1768C4—41no—
1769C4—42no—
1770C4—44no—
1771C4—42no—
1772C4—42no—
1773C4—42no—
1774C4—42no—
1775C4C2×#55314yes—
1776C4C2×#55314yes—
1777C2—24no—
1778C2—44no—
1779C2—82no—
1780C2—82no—
1781C2—84no—
1782C2C22×#55311yescharacteristic
1783C2#6284611yescharacteristic
1784C2#6285111yescharacteristic
1785C2#6285711yescharacteristic
1786C2#6285811yescharacteristic
1787C2#6287811yescharacteristic
1788C2#6288011yescharacteristic
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. #45298C2semidirect
2. #45285C2semidirect
3. #45194C2semidirect
4. #45069C2semidirect
5. #45068C2semidirect
6. #45038C2semidirect
7. #45033C2semidirect
8. #45028C2semidirect
9. #39278C2semidirect
10. #39277C2semidirect
11. #39144C2semidirect
12. #39140C2semidirect
13. #39059C2semidirect
14. #39056C2semidirect
15. #39055C2semidirect
16. #39052C2semidirect
17. #38131C2semidirect
18. #38129C2semidirect
19. #38125C2semidirect
20. #38123C2semidirect
21. #35585C2semidirect
22. #35564C2semidirect
23. #35533C2semidirect
24. #35531C2semidirect
25. #35256C2semidirect
26. #35254C2semidirect
27. #35168C2semidirect
28. #35160C2semidirect
29. #34639C2semidirect
30. #34274C2semidirect
31. #34267C2semidirect
32. #34265C2semidirect
33. #34250C2semidirect
34. #34070C2semidirect
35. C2×#2319C2semidirect
54. #2803C22semidirect
55. #2801C22semidirect
56. #2800C22semidirect
57. #2796C22semidirect
58. #2795C22semidirect
59. #2780C22semidirect
60. #2780C22semidirect
61. #2779C22semidirect
62. #2779C22semidirect
63. #2778C22semidirect
64. #2778C22semidirect
65. #2778C22semidirect
66. #2777C22semidirect
67. #2772C22semidirect
68. #2756C22semidirect
69. #2753C22semidirect
70. #2753C22semidirect
71. #2746C22semidirect
72. #2746C22semidirect
73. #2741C22semidirect
74. #2739C22semidirect
75. #2739C22semidirect
76. #2718C22semidirect
77. #2714C22semidirect
78. #2711C22semidirect
79. #2708C22semidirect
80. #2708C22semidirect
81. #2703C22semidirect
82. #2701C22semidirect
83. #2701C22semidirect
84. #2688C22semidirect
85. #2688C22semidirect
86. #2645C22semidirect
87. #2645C22semidirect
88. #2645C22semidirect
89. #2645C22semidirect
90. #2644C22semidirect
91. #2644C22semidirect
92. #2644C22semidirect
93. #2644C22semidirect
104. #2602C22semidirect
105. #2602C22semidirect
106. #2597C22semidirect
107. #2596C22semidirect
108. #2595C22semidirect
109. #2594C22semidirect
110. #2593C22semidirect
111. #2591C22semidirect
112. #2576C22semidirect
113. #2576C22semidirect
115. #2562C22semidirect
116. #2559C22semidirect
117. #2558C22semidirect
118. #2554C22semidirect
123. #2543C22semidirect
125. #2535C22semidirect
126. #2518C22semidirect
127. #2516C22semidirect
128. #2516C22semidirect
129. #2514C22semidirect
130. #2513C22semidirect
131. #2512C22semidirect
132. #2511C22semidirect
133. #2510C22semidirect
134. #2509C22semidirect
135. #2509C22semidirect
136. #2508C22semidirect
137. #2508C22semidirect
138. #2507C22semidirect
139. #2507C22semidirect
140. #2506C22semidirect
141. #2506C22semidirect
146. #2497C22semidirect
147. #2497C22semidirect
148. #2496C22semidirect
149. #2495C22semidirect
150. #2494C22semidirect
151. #2494C22semidirect
152. #2490C22semidirect
153. #2487C22semidirect
154. #2457C22semidirect
155. #2457C22semidirect
156. #2456C22semidirect
165. #2444C22semidirect
166. #2444C22semidirect
167. #2443C22semidirect
169. #2429C22semidirect
176. #2428C22semidirect
181. #2427C22semidirect
184. #2426C22semidirect
189. #2422C22semidirect
194. #2417C22semidirect
198. #2416C22semidirect
199. #2416C22semidirect
200. #2415C22semidirect
203. #2414C22semidirect
204. #2401C22semidirect
205. #2401C22semidirect
206. #2401C22semidirect
207. #2401C22semidirect
215. #2363C22semidirect
216. #2363C22semidirect
217. #2363C22semidirect
218. #2362C22semidirect
219. #2362C22semidirect
220. #2362C22semidirect
224. #2361C22semidirect
225. #2361C22semidirect
226. #2361C22semidirect
227. #2360C22semidirect
228. #2360C22semidirect
229. #2360C22semidirect
230. #2351C22semidirect
231. Q8×C4⋊C4C22semidirect
233. #2349C22semidirect
235. D4×C4⋊C4C22semidirect
236. #2328C22semidirect
237. #2328C22semidirect
238. #2327C22semidirect
239. #2327C22semidirect
240. #2326C22semidirect
241. #2326C22semidirect
242. #2326C22semidirect
243. #2326C22semidirect
249. #2324C22semidirect
250. #2323C22semidirect
262. #2317C22semidirect
265. #2316C22semidirect
269. C4×C22⋊Q8C22semidirect
271. C4×#121C22semidirect
281. #2296C22semidirect
286. C2×#389C22semidirect
287. #2290C22semidirect
288. #2290C22semidirect
289. #2290C22semidirect
290. #2290C22semidirect

Maximal subgroups

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

subgroupindex
#452982
#452852
#451942
#450692
#450682
#450382
#450332
#450282
#392782
#392772
#391442
#391402
#390592
#390562
#390552
#390522
#381312
#381292
#381252
#381232
#355852
#355642
#355332
#355312
#352562
#352542
#351682
#351602
#346392
#342742
#342672
#342652
#342502
#340702
C2×#23192