Finite Group Databasebeta

← #8094754

Subgroups — #8094754

Order 512.

5511 conjugacy classes of subgroups.

The subgroup lattice has 1885 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53108C212yesmaximal, complemented
2#53106C212yesmaximal, complemented
3#53071C212yesmaximal, complemented
4#53057C212yesmaximal, complemented
5#52979C212yesmaximal, complemented
6#52976C212yesmaximal, complemented
7#52973C212yesmaximal, complemented
8#52970C212yesmaximal, complemented
9#52373C214yesmaximal, complemented
10#52316C214yesmaximal, complemented
11#45718C212yesmaximal, complemented
12#45649C212yesmaximal, complemented
13#45639C212yesmaximal, complemented
14#45610C212yesmaximal, complemented
15#45602C212yesmaximal, complemented
16#45528C214yesmaximal, complemented
17#45524C212yesmaximal, complemented
18#45486C212yesmaximal, complemented
19#45484C212yesmaximal, complemented
20#45443C214yesmaximal, complemented
21#35584C211yesmaximal, characteristic, complemented
22#35556C211yesmaximal, characteristic, complemented
23#35554C211yesmaximal, characteristic, complemented
24#35543C211yesmaximal, characteristic, complemented
25#35529C211yesmaximal, characteristic, complemented
26#35514C211yesmaximal, characteristic, complemented
27#35272C211yesmaximal, characteristic, complemented
28#35262C211yesmaximal, characteristic, complemented
29#35257C211yesmaximal, characteristic, complemented
30#35252C211yesmaximal, characteristic, complemented
31#35172C211yesmaximal, characteristic, complemented
32#35152C211yesmaximal, characteristic, complemented
33#34742C211yesmaximal, characteristic, complemented
34#34739C211yesmaximal, characteristic, complemented
35C2×#2428C211yesmaximal, characteristic, complemented
36C2×#562C2214yescomplemented
37C2×#544C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C22×#127C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C22×#121C2211yescharacteristic
44C22×#121C2212yes—
45C22×#121C2211yescharacteristic
46C2×#518C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic
48C22×C4×D4C2211yescharacteristic
49C22×#117C2211yescharacteristic
50#2857C2212yescomplemented
51#2856C2212yescomplemented
52#2856C2212yescomplemented
53#2856C2212yescomplemented
54#2854C2212yescomplemented
55#2854C2212yescomplemented
56#2851C2212yescomplemented
57#2850C2212yescomplemented
58#2849C2214yes—
59#2848C2214yes—
60#2837C2214yescomplemented
61#2832C2214yescomplemented
62#2830C2214yescomplemented
63#2829C2214yescomplemented
64#2829C2214yescomplemented
65#2829C2214yescomplemented
66#2829C2214yescomplemented
67#2827C2214yescomplemented
68#2826C2214yescomplemented
69#2826C2214yescomplemented
70#2824C2214yescomplemented
71#2824C2214yescomplemented
72#2819C2214yescomplemented
73#2816C2214yescomplemented
74#2816C2214yescomplemented
75#2814C2214yescomplemented
76#2813C2214yescomplemented
77#2813C2214yescomplemented
78#2813C2214yescomplemented
79#2813C2214yescomplemented
80#2800C2214yescomplemented
81#2786C2214yescomplemented
82#2781C2214yescomplemented
83#2751C2214yescomplemented
84#2750C2214yescomplemented
85#2741C2214yescomplemented
86#2740C2214yescomplemented
87#2730C2214yescomplemented
88#2730C2214yescomplemented
89#2711C2214yescomplemented
90#2711C2214yescomplemented
91#2710C2214yescomplemented
92#2710C2214yescomplemented
93#2708C2214yescomplemented
94#2708C2214yescomplemented
95#2706C2214yescomplemented
96#2706C2214yescomplemented
97#2701C2214yescomplemented
98#2701C2214yescomplemented
99#2696C2214yescomplemented
100#2696C2214yescomplemented
101#2694C2214yescomplemented
102#2692C2214yescomplemented
103#2687C2214yescomplemented
104#2686C2214yescomplemented
105#2686C2214yescomplemented
106#2682C2214yescomplemented
107#2682C2214yescomplemented
108#2681C2214yescomplemented
109#2681C2214yescomplemented
110#2676C2214yescomplemented
111#2676C2214yescomplemented
112#2676C2214yescomplemented
113#2676C2214yescomplemented
114#2672C2214yescomplemented
115#2672C2214yescomplemented
116#2671C2214yescomplemented
117#2671C2214yescomplemented
118#2671C2214yescomplemented
119#2671C2214yescomplemented
120#2629C2212yescomplemented
121#2628C2212yescomplemented
122#2626C2214yes—
123#2624C2212yescomplemented
124#2624C2212yescomplemented
125#2622C2214yes—
126#2620C2212yescomplemented
127#2619C2212yescomplemented
128#2619C2212yescomplemented
129#2619C2212yescomplemented
130#2592C2212yescomplemented
131#2592C2212yescomplemented
132#2580C2212yescomplemented
133#2580C2212yescomplemented
134#2571C2212yescomplemented
135#2570C2212yescomplemented
136#2570C2212yescomplemented
137#2566C2212yescomplemented
138#2566C2212yescomplemented
139#2566C2212yescomplemented
140#2566C2212yescomplemented
141#2563C2212yescomplemented
142#2563C2212yescomplemented
143#2561C2214yes—
144#2552C2212yescomplemented
145#2548C2212yescomplemented
146#2548C2212yescomplemented
147#2548C2212yescomplemented
148#2548C2212yescomplemented
149#2542C2212yescomplemented
150#2542C2212yescomplemented
151#2541C2212yescomplemented
152#2541C2212yescomplemented
153#2538C2212yescomplemented
154#2538C2212yescomplemented
155#2537C2212yescomplemented
156#2537C2212yescomplemented
157#2535C2212yescomplemented
158#2535C2212yescomplemented
159#2509C2212yescomplemented
160#2508C2212yescomplemented
161#2507C2212yescomplemented
162#2506C2212yescomplemented
163#2505C2214yes—
164#2504C2212yescomplemented
165#2501C2212yescomplemented
166#2500C2212yescomplemented
167#2500C2212yescomplemented
168#2491C2212yescomplemented
169#2491C2212yescomplemented
170#2491C2212yescomplemented
171#2491C2212yescomplemented
172#2491C2212yescomplemented
173#2491C2212yescomplemented
174#2490C2212yescomplemented
175#2490C2212yescomplemented
176#2490C2212yescomplemented
177#2490C2212yescomplemented
178#2490C2212yescomplemented
179#2490C2212yescomplemented
180#2482C2214yes—
181#2473C2214yes—
182#2472C2214yes—
183#2472C2214yes—
184#2454C2212yescomplemented
185#2454C2212yescomplemented
186#2454C2212yescomplemented
187#2453C2212yescomplemented
188#2452C2212yescomplemented
189#2452C2212yescomplemented
190#2452C2212yescomplemented
191#2451C2212yescomplemented
192#2450C2214yes—
193#2449C2214yes—
194#2447C2212yescomplemented
195#2447C2212yescomplemented
196#2445C2212yescomplemented
197#2445C2212yescomplemented
198#2445C2212yescomplemented
199#2445C2212yescomplemented
200#2445C2212yescomplemented
201#2445C2212yescomplemented
202#2445C2212yescomplemented
203#2445C2212yescomplemented
204#2445C2212yescomplemented
205#2445C2212yescomplemented
206#2442C2211yescharacteristic, complemented
207#2442C2211yescharacteristic, complemented
208#2441C2211yescharacteristic, complemented
209#2441C2211yescharacteristic, complemented
210#2440C2211yescharacteristic, complemented
211#2440C2211yescharacteristic, complemented
212#2439C2211yescharacteristic, complemented
213#2439C2211yescharacteristic, complemented
214#2438C2212yes—
215#2438C2212yes—
216#2437C2212yes—
217#2437C2214yes—
218#2437C2212yes—
219#2437C2214yes—
220#2435C2214yes—
221#2428C2212yes—
222#2428C2212yes—
223#2428C2212yes—
224#2428C2212yes—
225#2428C2212yes—
226#2428C2212yes—
227#2428C2212yes—
228#2428C2212yes—
229#2428C2212yescomplemented
230#2428C2212yescomplemented
231#2427C2212yescomplemented
232#2427C2212yescomplemented
233#2423C2211yescharacteristic, complemented
234#2423C2211yescharacteristic, complemented
235#2422C2212yescomplemented
236#2422C2212yescomplemented
237#2422C2211yescharacteristic, complemented
238#2422C2211yescharacteristic, complemented
239#2421C2211yescharacteristic, complemented
240#2421C2211yescharacteristic, complemented
241#2420C2212yescomplemented
242#2420C2211yescharacteristic, complemented
243#2420C2212yescomplemented
244#2420C2211yescharacteristic, complemented
245#2419C2212yes—
246#2419C2212yes—
247#2418C2212yes—
248#2418C2212yes—
249#2416C2212yescomplemented
250#2416C2212yescomplemented
251#2414C2212yescomplemented
252#2414C2212yescomplemented
253#2412C2214yes—
254#2411C2214yes—
255#2410C2214yes—
256#2410C2214yes—
257#2408C2214yes—
258#2408C2214yes—
259#2405C2214yes—
260#2405C2214yes—
261#2405C2214yes—
262#2396C2212yescomplemented
263#2396C2212yescomplemented
264#2395C2212yescomplemented
265#2395C2212yescomplemented
266C2×#394C2212yes—
267C2×#392C2212yes—
268#2377C2214yescomplemented
269#2377C2214yescomplemented
270#2376C2214yescomplemented
271#2317C2211yescharacteristic
272#2317C2211yescharacteristic
273#2317C2211yescharacteristic
274#2317C2211yescharacteristic
275#2311C2211yescharacteristic
276#2311C2211yescharacteristic
277#2309C2211yescharacteristic
278#2309C2211yescharacteristic
279#2309C2211yescharacteristic
280#2309C2211yescharacteristic
281#2309C2211yescharacteristic
282C4×C22⋊Q8C2212yescomplemented
283C4×C22⋊Q8C2212yescomplemented
284C4×#123C2212yescomplemented
285C4×#123C2212yescomplemented
286#2297C2211yescharacteristic
287#2296C2211yescharacteristic
288#2296C2211yescharacteristic
289#2296C2211yescharacteristic
290C2×#390C2211yescharacteristic
291C2×#389C2211yescharacteristic
292C2×#386C2212yes—
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2280C2211yescharacteristic
296#2280C2211yescharacteristic
297#2274C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×D4C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306C24×C4C2311yescharacteristic
307C24×C4C2312yes—
308#562—416no—
309#544—44no—
310#535—44no—
311#535—44no—
312#533—44no—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×#127—44no—
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#125C2311yescharacteristic
325C2×#125C2311yescharacteristic
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2314yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#124C2314yes—
334C2×#124C2314yes—
335#525—44no—
336C2×#123C2312yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2312yes—
342C2×#123C2312yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2314yes—
359C2×#121—48no—
360C2×#121—44no—
361C2×#121—44no—
362C2×#121C2314yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2311yescharacteristic
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2311yescharacteristic
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#120C2314yes—
389C2×#120C2314yes—
390C2×#120C2312yes—
391#518—44no—
392C4×#41—44no—
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2311yescharacteristic
396C2×C4×Q8C2311yescharacteristic
397C2×C4×D4—44no—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×#117—44no—
413C2×#117C2311yescharacteristic
414C2×#117C2311yescharacteristic
415C2×#117C2311yescharacteristic
416C2×#117C2311yescharacteristic
417C2×#117C2311yescharacteristic
418C2×#117C2311yescharacteristic
419C2×#117C2311yescharacteristic
420C2×#117C2312yes—
421C2×#117C2312yes—
422C2×#117C2312yes—
423C2×#117C2311yescharacteristic
424C2×#117C2311yescharacteristic
425C22×C4⋊C4C2311yescharacteristic
426C22×C4⋊C4C2311yescharacteristic
427C22×C4⋊C4C2312yes—
428C22×C4⋊C4C2311yescharacteristic
429C22×C4⋊C4C2311yescharacteristic
430C22×C22⋊C4C2311yescharacteristic
431C22×C22⋊C4C2312yes—
432C22×C22⋊C4C2312yes—
433C22×C22⋊C4C2311yescharacteristic
434C22×C22⋊C4C2312yes—
435C22×C22⋊C4C2312yes—
436C22×C22⋊C4C2314yes—
437C22×C22⋊C4C2312yes—
438C22×C22⋊C4C2312yes—
439C22×C42C2311yescharacteristic
440C22×C42C2311yescharacteristic
441C22×C42C2312yes—
442C22×C42C2312yes—
443#400C2312yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2312yes—
449#400C2314yes—
450#400C2312yes—
451#400C2312yes—
452#399C2312yes—
453#399C2314yes—
454#399C2314yes—
455#399C2314yes—
456#399C2312yes—
457#399C2314yes—
458#399C2314yes—
459#399C2314yes—
460#399C2314yes—
461#399C2312yes—
462#399C2312yes—
463#398C2312yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2312yes—
469#398C2314yes—
470#398C2312yes—
471#398C2314yes—
472#398C2312yes—
473#398C2312yes—
474#398C2312yes—
475#397C2314yes—
476#397C2314yes—
477#397C2312yes—
478#397C2312yes—
479#397C2314yes—
480#397C2314yes—
481#397C2312yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2312yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2312yes—
492#397C2312yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2312yes—
504#396C2312yes—
505#396C2314yes—
506#396C2314yes—
507#396C2312yes—
508#396C2312yes—
509#395C2312yes—
510#395C2314yes—
511#395C2312yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2312yes—
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#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2312yes—
551#394C2312yes—
552#394C2312yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#393C2312yes—
557#393C2314yes—
558#393C2314yes—
559#393C2314yes—
560#393C2314yes—
561#393C2314yes—
562#393C2314yes—
563#393C2314yes—
564#393C2312yes—
565#393C2314yes—
566#393C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#391C2312yes—
580#391C2312yes—
581#391C2312yes—
582#391C2311yescharacteristic
583#391C2311yescharacteristic
584#391C2314yes—
585#391C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2314yes—
611#390C2314yes—
612#390C2314yes—
613#390C2314yes—
614#390C2314yes—
615#390C2314yes—
616#390C2314yes—
617#390C2314yes—
618#390C2314yes—
619#390C2314yes—
620#390C2311yescharacteristic
621#390C2311yescharacteristic
622#390C2312yes—
623#390C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2314yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2314yes—
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2312yes—
641#389C2314yes—
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2311yescharacteristic
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2312yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2314yes—
674#387C2314yes—
675#387C2312yes—
676#387C2314yes—
677#387C2312yes—
678#387C2314yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2312yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2312yes—
706#386C2312yes—
707#386C2314yes—
708#386C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2312yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2312yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2312yes—
728#385C2312yes—
729#385C2312yes—
730#385C2312yes—
731#385C2312yes—
732#385C2312yes—
733#385C2312yes—
734#385C2312yes—
735#385C2312yes—
736#385C2312yes—
737#384C2311yescharacteristic
738#384C2312yes—
739#384C2312yes—
740#384C2312yes—
741#384C2311yescharacteristic
742#384C2312yes—
743#384C2311yescharacteristic
744#384C2311yescharacteristic
745#382C2311yescharacteristic
746#382C2312yes—
747#382C2312yes—
748#382C2312yes—
749#382C2314yes—
750#382C2311yescharacteristic
751#382C2312yes—
752#382C2311yescharacteristic
753#382C2311yescharacteristic
754#381C2312yes—
755#381C2314yes—
756#381C2312yes—
757#381C2312yes—
758#381C2314yes—
759#381C2312yes—
760#380C2314yes—
761#380C2314yes—
762#380C2314yes—
763#380C2314yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771#380C2314yes—
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2314yes—
776#380C2312yes—
777#380C2312yes—
778#380C2314yes—
779#380C2312yes—
780#380C2312yes—
781#380C2311yescharacteristic
782#380C2311yescharacteristic
783#380C2311yescharacteristic
784#380C2311yescharacteristic
785#379C2314yes—
786#379C2314yes—
787#379C2314yes—
788#379C2314yes—
789#379C2314yes—
790#379C2312yes—
791#379C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821C2×#95C2312yes—
822C2×#95C2311yescharacteristic
823C2×#95C2311yescharacteristic
824C25C2411yescharacteristic
825C25C2412yes—
826C25C2412yes—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2414yes—
834C22×D4—24no—
835C22×D4—24no—
836C22×D4—24no—
837C22×D4—24no—
838C22×D4—24no—
839C22×D4—24no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—82no—
849C22×D4—82no—
850C22×D4—82no—
851C22×D4—82no—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2411yescharacteristic
858C22×D4C2412yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2412yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C23×C4—24no—
873C23×C4—24no—
874C23×C4—24no—
875C23×C4—44no—
876C23×C4—44no—
877C23×C4—82no—
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2412yes—
883C23×C4C2411yescharacteristic
884C23×C4C2411yescharacteristic
885C23×C4C2411yescharacteristic
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2412yes—
893C23×C4C2414yes—
894C23×C4C2412yes—
895C23×C4C2414yes—
896C23×C4C2414yes—
897C23×C4C2414yes—
898C23×C4C2411yescharacteristic
899C4⋊Q8—42no—
900C4⋊Q8—42no—
901C4⋊Q8—44no—
902C4⋊Q8—44no—
903#127—44no—
904#127—44no—
905#127—44no—
906#127—44no—
907#127—44no—
908#127—44no—
909#125—42no—
910#125—42no—
911#125—44no—
912#125—44no—
913#125—48no—
914#124—44no—
915#124—44no—
916#124—48no—
917#124—48no—
918#124—84no—
919#124—84no—
920#123—28no—
921#123—44no—
922#123—48no—
923#123—44no—
924#123—48no—
925#123—48no—
926#123—48no—
927#123—84no—
928#123—84no—
929#123—84no—
930#123—84no—
931C22⋊Q8—28no—
932C22⋊Q8—44no—
933C22⋊Q8—44no—
934C22⋊Q8—48no—
935C22⋊Q8—44no—
936C22⋊Q8—48no—
937C22⋊Q8—48no—
938C22⋊Q8—42no—
939C22⋊Q8—42no—
940C22⋊Q8—48no—
941C22⋊Q8—84no—
942C22⋊Q8—84no—
943#121—216no—
944#121—48no—
945#121—48no—
946#121—48no—
947#121—48no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—44no—
956#121—48no—
957#121—42no—
958#121—42no—
959#121—44no—
960#121—44no—
961#121—44no—
962#121—44no—
963#121—48no—
964#121—48no—
965#121—84no—
966#121—84no—
967#121—84no—
968#121—84no—
969#120—44no—
970#120—48no—
971#120—48no—
972C4×Q8—44no—
973C4×Q8—44no—
974C4×Q8—42no—
975C4×Q8—42no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—42no—
981C4×D4—42no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990#117—24no—
991#117—24no—
992#117—24no—
993#117—24no—
994#117—24no—
995#117—24no—
996#117—24no—
997#117—44no—
998#117—44no—
999#117—44no—
1000#117—42no—
1001#117—42no—
1002C2×C4⋊C4—24no—
1003C2×C4⋊C4—24no—
1004C2×C4⋊C4—42no—
1005C2×C4⋊C4—42no—
1006C2×C4⋊C4—44no—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2412yes—
1070C2×C22⋊C4—24no—
1071C2×C22⋊C4—42no—
1072C2×C22⋊C4—44no—
1073C2×C22⋊C4—44no—
1074C2×C22⋊C4—48no—
1075C2×C22⋊C4—44no—
1076C2×C22⋊C4—44no—
1077C2×C22⋊C4—44no—
1078C2×C22⋊C4—82no—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2411yescharacteristic
1084C2×C22⋊C4C2411yescharacteristic
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C22⋊C4C2411yescharacteristic
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2411yescharacteristic
1109C2×C22⋊C4C2411yescharacteristic
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C42—24no—
1155C2×C42—24no—
1156C2×C42—44no—
1157C2×C42—44no—
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2411yescharacteristic
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2412yes—
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2412yes—
1174C2×C42C2412yes—
1175C2×C42C2412yes—
1176C2×C42C2412yes—
1177C2×C42C2414yes—
1178C2×C42C2414yes—
1179#95C2411yescharacteristic
1180#95C2411yescharacteristic
1181#95C2411yescharacteristic
1182#95C2411yescharacteristic
1183#95C2411yescharacteristic
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2411yescharacteristic
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235C24—22no—
1236C24—24no—
1237C24—22no—
1238C24—22no—
1239C24—22no—
1240C24—24no—
1241C24—24no—
1242C24—24no—
1243C24—24no—
1244C24—24no—
1245C24—41no—
1246C24—42no—
1247C24—42no—
1248C24—42no—
1249C24—41no—
1250C24—41no—
1251C24—42no—
1252C24—42no—
1253C24—42no—
1254C24—42no—
1255C24—42no—
1256C24C2511yescharacteristic
1257C24C2514yes—
1258C24C2514yes—
1259C24C2512yes—
1260C24C2511yescharacteristic
1261C24C2511yescharacteristic
1262#41—416no—
1263C2×Q8—22no—
1264C2×Q8—22no—
1265C2×Q8—24no—
1266C2×Q8—22no—
1267C2×Q8—42no—
1268C2×Q8—42no—
1269C2×Q8—42no—
1270C2×Q8—42no—
1271C2×Q8—42no—
1272C2×Q8—44no—
1273C2×Q8—44no—
1274C2×Q8—44no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—28no—
1279C2×D4—28no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—22no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—22no—
1291C2×D4—28no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—22no—
1297C2×D4—28no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—42no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—416no—
1336C2×D4—416no—
1337C2×D4—816no—
1338C2×D4—816no—
1339C2×D4—816no—
1340C2×D4—816no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—24no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—24no—
1350C22×C4—24no—
1351C22×C4—22no—
1352C22×C4—24no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—24no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—22no—
1367C22×C4—24no—
1368C22×C4—22no—
1369C22×C4—28no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—42no—
1373C22×C4—41no—
1374C22×C4—42no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—42no—
1382C22×C4—41no—
1383C22×C4—41no—
1384C22×C4—42no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—42no—
1389C22×C4—42no—
1390C22×C4—42no—
1391C22×C4—42no—
1392C22×C4—44no—
1393C22×C4—42no—
1394C22×C4—44no—
1395C22×C4—44no—
1396C22×C4—44no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—416no—
1402C22×C4—816no—
1403C22×C4H(5,𝔽2)14yes—
1404C22×C4H(5,𝔽2)14yes—
1405C22×C42−1+414yes—
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2512yes—
1409C22×C4C2511yescharacteristic
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2511yescharacteristic
1414C22×C4C2512yes—
1415C22×C4C2511yescharacteristic
1416C22×C4C2511yescharacteristic
1417C22×C4C2512yes—
1418C22×C4C2514yes—
1419C22×C4C2512yes—
1420C22×C4C2514yes—
1421C22×C4C2512yes—
1422C22×C4C2512yes—
1423C22×C4C2512yes—
1424C22×C4C2511yescharacteristic
1425C22×C4C2512yes—
1426C22×C4C2512yes—
1427C22×C4C2512yes—
1428C22×C4C2512yes—
1429C22×C4C2512yes—
1430C22×C4C2511yescharacteristic
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—28no—
1444C4⋊C4—22no—
1445C4⋊C4—22no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—22no—
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—22no—
1452C4⋊C4—24no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—24no—
1457C4⋊C4—22no—
1458C4⋊C4—22no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—44no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—42no—
1472C4⋊C4—42no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—42no—
1478C4⋊C4—42no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—42no—
1482C4⋊C4—44no—
1483C4⋊C4—44no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—42no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—44no—
1490C4⋊C4—42no—
1491C4⋊C4—44no—
1492C4⋊C4—42no—
1493C4⋊C4—42no—
1494C4⋊C4—44no—
1495C4⋊C4—42no—
1496C4⋊C4—42no—
1497C4⋊C4—42no—
1498C22⋊C4—22no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—22no—
1509C22⋊C4—22no—
1510C22⋊C4—28no—
1511C22⋊C4—24no—
1512C22⋊C4—22no—
1513C22⋊C4—22no—
1514C22⋊C4—41no—
1515C22⋊C4—41no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—42no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4—42no—
1557C22⋊C4—42no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—42no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—42no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—42no—
1570C22⋊C4—42no—
1571C22⋊C4—42no—
1572C22⋊C4H(5,𝔽2)14yes—
1573C42—22no—
1574C42—22no—
1575C42—22no—
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—22no—
1580C42—22no—
1581C42—24no—
1582C42—24no—
1583C42—24no—
1584C42—24no—
1585C42—24no—
1586C42—24no—
1587C42—24no—
1588C42—42no—
1589C42—42no—
1590C42—42no—
1591C42—42no—
1592C42—44no—
1593C42—44no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—22no—
1606C23—24no—
1607C23—21no—
1608C23—22no—
1609C23—24no—
1610C23—24no—
1611C23—24no—
1612C23—21no—
1613C23—24no—
1614C23—24no—
1615C23—22no—
1616C23—21no—
1617C23—22no—
1618C23—24no—
1619C23—24no—
1620C23—21no—
1621C23—24no—
1622C23—24no—
1623C23—22no—
1624C23—24no—
1625C23—21no—
1626C23—24no—
1627C23—22no—
1628C23—22no—
1629C23—24no—
1630C23—24no—
1631C23—21no—
1632C23—44no—
1633C23—44no—
1634C23—44no—
1635C23—48no—
1636C23—48no—
1637C23—44no—
1638C23—48no—
1639C23—48no—
1640C23—84no—
1641C23—84no—
1642C23—82no—
1643C23—84no—
1644C23—82no—
1645C23—82no—
1646C23—84no—
1647C23—84no—
1648C23—84no—
1649C23—84no—
1650C23—84no—
1651C23—84no—
1652C23—84no—
1653C23C2×H(5,𝔽2)12yes—
1654C23C2×H(5,𝔽2)12yes—
1655C23C2×H(5,𝔽2)12yes—
1656C23C2×2−1+412yes—
1657C23C2611yescharacteristic
1658Q8—44no—
1659Q8—84no—
1660Q8—84no—
1661Q8—164no—
1662D4—48no—
1663D4—48no—
1664D4—48no—
1665D4—48no—
1666D4—48no—
1667D4—44no—
1668D4—88no—
1669D4—88no—
1670D4—84no—
1671D4—88no—
1672D4—88no—
1673D4—84no—
1674D4—88no—
1675D4—88no—
1676D4—88no—
1677D4—88no—
1678D4—164no—
1679D4—164no—
1680D4—164no—
1681D4—164no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—24no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—21no—
1718C2×C4—24no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—24no—
1723C2×C4—24no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—24no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—21no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—21no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—22no—
1756C2×C4—21no—
1757C2×C4—24no—
1758C2×C4—21no—
1759C2×C4—21no—
1760C2×C4—44no—
1761C2×C4—44no—
1762C2×C4—44no—
1763C2×C4—48no—
1764C2×C4—44no—
1765C2×C4—44no—
1766C2×C4—44no—
1767C2×C4—44no—
1768C2×C4—44no—
1769C2×C4—48no—
1770C2×C4—84no—
1771C2×C4—84no—
1772C2×C4—88no—
1773C2×C4—84no—
1774C2×C4—82no—
1775C2×C4—84no—
1776C2×C4—84no—
1777C2×C4—88no—
1778C2×C4—164no—
1779C2×C4—164no—
1780C2×C4#562116yescomplemented
1781C2×C4C2×H(5,𝔽2)12yes—
1782C2×C4C2×H(5,𝔽2)12yes—
1783C2×C4C2×H(5,𝔽2)12yes—
1784C2×C4C2×H(5,𝔽2)12yes—
1785C2×C4C2×H(5,𝔽2)12yes—
1786C2×C4C2×H(5,𝔽2)12yes—
1787C2×C4C2×2−1+412yes—
1788C2×C4C2×2−1+412yes—
1789C2×C4#58512yes—
1790C22—22no—
1791C22—22no—
1792C22—22no—
1793C22—22no—
1794C22—22no—
1795C22—22no—
1796C22—22no—
1797C22—22no—
1798C22—22no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—42no—
1804C22—41no—
1805C22—44no—
1806C22—44no—
1807C22—42no—
1808C22—41no—
1809C22—44no—
1810C22—44no—
1811C22—44no—
1812C22—42no—
1813C22—44no—
1814C22—44no—
1815C22—41no—
1816C22—41no—
1817C22—44no—
1818C22—42no—
1819C22—42no—
1820C22—44no—
1821C22—44no—
1822C22—41no—
1823C22—41no—
1824C22—42no—
1825C22—44no—
1826C22—44no—
1827C22—42no—
1828C22—44no—
1829C22—44no—
1830C22—41no—
1831C22—88no—
1832C22—816no—
1833C22—168no—
1834C22C2×#56214yes—
1835C22C22×H(5,𝔽2)11yescharacteristic
1836C22C22×H(5,𝔽2)11yescharacteristic
1837C22C22×H(5,𝔽2)11yescharacteristic
1838C22C22×2−1+411yescharacteristic
1839C22C2×#58511yescharacteristic
1840C22H(7,𝔽2)11yescharacteristic
1841C22H(7,𝔽2)11yescharacteristic
1842C4—22no—
1843C4—22no—
1844C4—22no—
1845C4—42no—
1846C4—42no—
1847C4—41no—
1848C4—44no—
1849C4—41no—
1850C4—44no—
1851C4—42no—
1852C4—42no—
1853C4—42no—
1854C4—42no—
1855C4—42no—
1856C4—42no—
1857C4—41no—
1858C4—42no—
1859C4—42no—
1860C4—42no—
1861C4—41no—
1862C4—41no—
1863C4—42no—
1864C4—41no—
1865C4—42no—
1866C4—42no—
1867C4—41no—
1868C4—42no—
1869C4C2×#56214yes—
1870C4C2×#56214yes—
1871C2—24no—
1872C2—42no—
1873C2—82no—
1874C2—81no—
1875C2—84no—
1876C2—84no—
1877C2C22×#56211yescharacteristic
1878C2#6283511yescharacteristic
1879C2#6288111yescharacteristic
1880C2#6291211yescharacteristic
1881C2#6291211yescharacteristic
1882C2#6292411yescharacteristic
1883C2#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. #53108C2semidirect
2. #53106C2semidirect
3. #53071C2semidirect
4. #53057C2semidirect
5. #52979C2semidirect
6. #52976C2semidirect
7. #52973C2semidirect
8. #52970C2semidirect
9. #52373C2semidirect
10. #52316C2semidirect
11. #45718C2semidirect
12. #45649C2semidirect
13. #45639C2semidirect
14. #45610C2semidirect
15. #45602C2semidirect
16. #45528C2semidirect
17. #45524C2semidirect
18. #45486C2semidirect
19. #45484C2semidirect
20. #45443C2semidirect
21. #35584C2semidirect
22. #35556C2semidirect
23. #35554C2semidirect
24. #35543C2semidirect
25. #35529C2semidirect
26. #35514C2semidirect
27. #35272C2semidirect
28. #35262C2semidirect
29. #35257C2semidirect
30. #35252C2semidirect
31. #35172C2semidirect
32. #35152C2semidirect
33. #34742C2semidirect
34. #34739C2semidirect
35. C2×#2428C2semidirect
36. C2×#562C22semidirect
50. #2857C22semidirect
51. #2856C22semidirect
52. #2856C22semidirect
53. #2856C22semidirect
54. #2854C22semidirect
55. #2854C22semidirect
56. #2851C22semidirect
57. #2850C22semidirect
60. #2837C22semidirect
61. #2832C22semidirect
62. #2830C22semidirect
63. #2829C22semidirect
64. #2829C22semidirect
65. #2829C22semidirect
66. #2829C22semidirect
67. #2827C22semidirect
68. #2826C22semidirect
69. #2826C22semidirect
70. #2824C22semidirect
71. #2824C22semidirect
72. #2819C22semidirect
73. #2816C22semidirect
74. #2816C22semidirect
75. #2814C22semidirect
76. #2813C22semidirect
77. #2813C22semidirect
78. #2813C22semidirect
79. #2813C22semidirect
80. #2800C22semidirect
81. #2786C22semidirect
82. #2781C22semidirect
83. #2751C22semidirect
84. #2750C22semidirect
85. #2741C22semidirect
86. #2740C22semidirect
87. #2730C22semidirect
88. #2730C22semidirect
89. #2711C22semidirect
90. #2711C22semidirect
91. #2710C22semidirect
92. #2710C22semidirect
93. #2708C22semidirect
94. #2708C22semidirect
95. #2706C22semidirect
96. #2706C22semidirect
97. #2701C22semidirect
98. #2701C22semidirect
99. #2696C22semidirect
100. #2696C22semidirect
101. #2694C22semidirect
102. #2692C22semidirect
103. #2687C22semidirect
104. #2686C22semidirect
105. #2686C22semidirect
106. #2682C22semidirect
107. #2682C22semidirect
108. #2681C22semidirect
109. #2681C22semidirect
110. #2676C22semidirect
111. #2676C22semidirect
112. #2676C22semidirect
113. #2676C22semidirect
114. #2672C22semidirect
115. #2672C22semidirect
116. #2671C22semidirect
117. #2671C22semidirect
118. #2671C22semidirect
119. #2671C22semidirect
120. #2629C22semidirect
121. #2628C22semidirect
123. #2624C22semidirect
124. #2624C22semidirect
126. #2620C22semidirect
127. #2619C22semidirect
128. #2619C22semidirect
129. #2619C22semidirect
130. #2592C22semidirect
131. #2592C22semidirect
132. #2580C22semidirect
133. #2580C22semidirect
134. #2571C22semidirect
135. #2570C22semidirect
136. #2570C22semidirect
137. #2566C22semidirect
138. #2566C22semidirect
139. #2566C22semidirect
140. #2566C22semidirect
141. #2563C22semidirect
142. #2563C22semidirect
144. #2552C22semidirect
145. #2548C22semidirect
146. #2548C22semidirect
147. #2548C22semidirect
148. #2548C22semidirect
149. #2542C22semidirect
150. #2542C22semidirect
151. #2541C22semidirect
152. #2541C22semidirect
153. #2538C22semidirect
154. #2538C22semidirect
155. #2537C22semidirect
156. #2537C22semidirect
157. #2535C22semidirect
158. #2535C22semidirect
159. #2509C22semidirect
160. #2508C22semidirect
161. #2507C22semidirect
162. #2506C22semidirect
164. #2504C22semidirect
165. #2501C22semidirect
166. #2500C22semidirect
167. #2500C22semidirect
168. #2491C22semidirect
169. #2491C22semidirect
170. #2491C22semidirect
171. #2491C22semidirect
172. #2491C22semidirect
173. #2491C22semidirect
174. #2490C22semidirect
175. #2490C22semidirect
176. #2490C22semidirect
177. #2490C22semidirect
178. #2490C22semidirect
179. #2490C22semidirect
184. #2454C22semidirect
185. #2454C22semidirect
186. #2454C22semidirect
187. #2453C22semidirect
188. #2452C22semidirect
189. #2452C22semidirect
190. #2452C22semidirect
191. #2451C22semidirect
194. #2447C22semidirect
195. #2447C22semidirect
196. #2445C22semidirect
197. #2445C22semidirect
198. #2445C22semidirect
199. #2445C22semidirect
200. #2445C22semidirect
201. #2445C22semidirect
202. #2445C22semidirect
203. #2445C22semidirect
204. #2445C22semidirect
205. #2445C22semidirect
206. #2442C22semidirect
207. #2442C22semidirect
208. #2441C22semidirect
209. #2441C22semidirect
210. #2440C22semidirect
211. #2440C22semidirect
212. #2439C22semidirect
213. #2439C22semidirect
229. #2428C22semidirect
230. #2428C22semidirect
231. #2427C22semidirect
232. #2427C22semidirect
233. #2423C22semidirect
234. #2423C22semidirect
235. #2422C22semidirect
236. #2422C22semidirect
237. #2422C22semidirect
238. #2422C22semidirect
239. #2421C22semidirect
240. #2421C22semidirect
241. #2420C22semidirect
242. #2420C22semidirect
243. #2420C22semidirect
244. #2420C22semidirect
249. #2416C22semidirect
250. #2416C22semidirect
251. #2414C22semidirect
252. #2414C22semidirect
262. #2396C22semidirect
263. #2396C22semidirect
264. #2395C22semidirect
265. #2395C22semidirect
268. #2377C22semidirect
269. #2377C22semidirect
270. #2376C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×C22⋊Q8C22semidirect
284. C4×#123C22semidirect
285. C4×#123C22semidirect
1780. C2×C4#562semidirect

Maximal subgroups

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

subgroupindex
#531082
#531062
#530712
#530572
#529792
#529762
#529732
#529702
#523732
#523162
#457182
#456492
#456392
#456102
#456022
#455282
#455242
#454862
#454842
#454432
#355842
#355562
#355542
#355432
#355292
#355142
#352722
#352622
#352572
#352522
#351722
#351522
#347422
#347392
C2×#24282