Finite Group Databasebeta

← #8195231

Subgroups — #8195231

Order 512.

4937 conjugacy classes of subgroups.

The subgroup lattice has 1730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59863C211yesmaximal, characteristic, complemented
2#59862C212yesmaximal, complemented
3#59428C211yesmaximal, characteristic, complemented
4#59420C211yesmaximal, characteristic, complemented
5#59413C211yesmaximal, characteristic, complemented
6#59148C212yesmaximal, complemented
7#56639C214yesmaximal, complemented
8#55428C214yesmaximal, complemented
9#53041C212yesmaximal, complemented
10#53025C212yesmaximal, complemented
11#49961C214yesmaximal, complemented
12#47197C214yesmaximal, complemented
13#45714C212yesmaximal, complemented
14#45702C212yesmaximal, complemented
15#45081C212yesmaximal, complemented
16#45061C212yesmaximal, complemented
17#42869C212yesmaximal, complemented
18#42680C212yesmaximal, complemented
19#42564C212yesmaximal, complemented
20#42563C212yesmaximal, complemented
21#39746C211yesmaximal, characteristic, complemented
22#39726C211yesmaximal, characteristic, complemented
23#39596C211yesmaximal, characteristic, complemented
24#39029C212yesmaximal, complemented
25#39023C212yesmaximal, complemented
26#38977C211yesmaximal, characteristic, complemented
27#38962C212yesmaximal, complemented
28#38918C212yesmaximal, complemented
29#36505C211yesmaximal, characteristic, complemented
30#36477C211yesmaximal, characteristic, complemented
31#36258C211yesmaximal, characteristic
32D4×#124C211yesmaximal, characteristic, complemented
33#35288C211yesmaximal, characteristic, complemented
34#34979C211yesmaximal, characteristic, complemented
35#34969C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic
37C2×#557C2211yescharacteristic, complemented
38C2×#556C2212yes—
39C2×D4×Q8C2211yescharacteristic
40C2×#546C2212yes—
41C2×D42C2211yescharacteristic
42C2×#533C2211yescharacteristic, complemented
43C22×#124C2212yes—
44C2×C4×#41C2211yescharacteristic
45#2859C2211yescharacteristic, complemented
46#2858C2211yescharacteristic
47#2857C2211yescharacteristic, complemented
48#2856C2211yescharacteristic
49#2855C2212yescomplemented
50#2854C2212yes—
51#2851C2212yescomplemented
52#2850C2212yes—
53#2841C2214yescomplemented
54#2838C2214yescomplemented
55#2838C2214yescomplemented
56#2832C2214yescomplemented
57#2831C2214yescomplemented
58#2827C2214yescomplemented
59#2816C2214yescomplemented
60#2808C2214yescomplemented
61#2796C2214yescomplemented
62#2793C2214yescomplemented
63#2784C2214yescomplemented
64#2781C2214yescomplemented
65#2780C2214yescomplemented
66#2778C2214yescomplemented
67#2765C2214yescomplemented
68#2754C2214yescomplemented
69#2753C2214yescomplemented
70#2751C2214yescomplemented
71#2751C2214yescomplemented
72#2750C2214yescomplemented
73#2748C2214yescomplemented
74#2746C2214yescomplemented
75#2746C2214yescomplemented
76#2745C2214yescomplemented
77#2743C2214yescomplemented
78#2742C2214yescomplemented
79#2741C2214yescomplemented
80#2739C2214yescomplemented
81#2739C2214yescomplemented
82#2735C2214yescomplemented
83#2728C2214yescomplemented
84#2720C2214yescomplemented
85#2718C2214yescomplemented
86#2718C2214yescomplemented
87#2717C2214yescomplemented
88#2717C2214yescomplemented
89#2715C2214yescomplemented
90#2707C2214yescomplemented
91#2704C2214yescomplemented
92#2700C2214yescomplemented
93#2697C2214yes—
94#2694C2214yescomplemented
95#2694C2214yescomplemented
96#2692C2214yescomplemented
97#2692C2214yescomplemented
98#2689C2214yescomplemented
99#2686C2214yescomplemented
100#2686C2214yescomplemented
101#2685C2214yescomplemented
102#2685C2214yescomplemented
103#2681C2214yescomplemented
104#2658C2212yescomplemented
105#2651C2214yescomplemented
106#2650C2214yescomplemented
107#2648C2214yescomplemented
108#2645C2212yescomplemented
109#2644C2212yescomplemented
110#2628C2212yescomplemented
111#2626C2214yescomplemented
112#2624C2214yescomplemented
113#2624C2212yescomplemented
114#2622C2214yescomplemented
115#2620C2212yescomplemented
116#2611C2212yescomplemented
117#2611C2212yescomplemented
118#2608C2214yescomplemented
119#2595C2214yescomplemented
120#2592C2212yescomplemented
121#2592C2212yescomplemented
122#2592C2212yescomplemented
123#2587C2214yescomplemented
124#2582C2211yescharacteristic, complemented
125#2581C2212yescomplemented
126#2580C2212yes—
127#2570C2212yescomplemented
128#2568C2211yescharacteristic, complemented
129#2567C2212yescomplemented
130#2566C2212yes—
131#2563C2212yescomplemented
132#2562C2212yescomplemented
133#2561C2214yescomplemented
134#2556C2214yescomplemented
135#2550C2212yescomplemented
136#2548C2211yescharacteristic
137#2548C2211yescharacteristic
138#2547C2211yescharacteristic
139#2547C2211yescharacteristic
140#2547C2212yescomplemented
141#2547C2212yescomplemented
142#2546C2211yescharacteristic, complemented
143#2546C2211yescharacteristic, complemented
144#2545C2212yescomplemented
145#2545C2212yescomplemented
146#2542C2211yescharacteristic
147#2542C2212yescomplemented
148#2538C2211yescharacteristic
149#2538C2211yescharacteristic
150#2538C2211yescharacteristic
151#2538C2212yescomplemented
152#2536C2212yescomplemented
153#2534C2214yes—
154#2530C2212yescomplemented
155#2527C2212yescomplemented
156#2521C2214yescomplemented
157#2516C2214yescomplemented
158#2513C2212yescomplemented
159#2513C2212yescomplemented
160#2513C2212yescomplemented
161#2511C2211yescharacteristic, complemented
162#2509C2211yescharacteristic, complemented
163#2508C2212yescomplemented
164#2503C2212yescomplemented
165#2499C2211yescharacteristic, complemented
166#2499C2211yescharacteristic, complemented
167#2497C2212yescomplemented
168#2496C2212yescomplemented
169#2496C2212yescomplemented
170#2494C2212yescomplemented
171#2494C2211yescharacteristic, complemented
172#2492C2212yescomplemented
173#2492C2211yescharacteristic, complemented
174#2491C2212yes—
175#2491C2212yes—
176#2490C2212yescomplemented
177#2489C2212yescomplemented
178#2485C2214yescomplemented
179#2483C2214yescomplemented
180#2482C2214yescomplemented
181#2482C2214yescomplemented
182#2480C2214yescomplemented
183#2480C2214yescomplemented
184#2478C2214yescomplemented
185#2477C2214yescomplemented
186#2477C2212yescomplemented
187#2475C2214yescomplemented
188#2474C2214yescomplemented
189#2472C2214yes—
190#2472C2214yes—
191#2471C2214yescomplemented
192#2470C2212yescomplemented
193#2460C2214yescomplemented
194#2454C2212yes—
195#2454C2212yescomplemented
196#2454C2212yescomplemented
197#2454C2212yescomplemented
198#2452C2211yescharacteristic
199#2452C2212yescomplemented
200#2451C2212yescomplemented
201#2448C2212yescomplemented
202#2448C2212yescomplemented
203#2448C2212yescomplemented
204#2447C2212yes—
205#2447C2212yes—
206#2447C2211yescharacteristic
207#2447C2212yescomplemented
208#2446C2212yescomplemented
209#2446C2212yescomplemented
210#2442C2212yescomplemented
211#2440C2212yescomplemented
212#2437C2214yescomplemented
213#2437C2214yescomplemented
214#2436C2212yes—
215#2435C2212yes—
216#2435C2212yes—
217#2435C2212yes—
218#2434C2212yescomplemented
219#2434C2212yescomplemented
220#2432C2211yescharacteristic
221#2432C2212yes—
222#2432C2211yescharacteristic
223#2429C2212yescomplemented
224#2429C2212yescomplemented
225#2427C2212yes—
226#2427C2212yes—
227#2427C2211yescharacteristic
228#2427C2212yescomplemented
229#2427C2212yescomplemented
230#2426C2212yes—
231#2426C2212yescomplemented
232#2426C2212yescomplemented
233#2424C2214yes—
234#2423C2212yescomplemented
235#2422C2211yescharacteristic
236#2420C2212yes—
237#2420C2212yes—
238#2420C2212yescomplemented
239#2416C2212yes—
240#2415C2212yescomplemented
241#2415C2212yescomplemented
242#2414C2212yes—
243#2412C2214yescomplemented
244#2411C2214yes—
245#2409C2212yescomplemented
246#2408C2212yes—
247#2401C2212yescomplemented
248#2398C2212yescomplemented
249#2395C2212yescomplemented
250#2395C2212yescomplemented
251#2378C2214yescomplemented
252#2370C2212yescomplemented
253#2367C2212yes—
254#2367C2212yes—
255#2362C2212yescomplemented
256#2357C2212yes—
257#2355C2211yescharacteristic, complemented
258#2355C2211yescharacteristic, complemented
259#2354C2212yescomplemented
260#2354C2212yescomplemented
261Q8×C4⋊C4C2211yescharacteristic, complemented
262D4×C4⋊C4C2211yescharacteristic
263#2344C2212yescomplemented
264#2342C2214yescomplemented
265Q8×C22⋊C4C2212yescomplemented
266D4×C22⋊C4C2212yes—
267D4×C22⋊C4C2212yes—
268D4×C22⋊C4C2212yes—
269D4×C22⋊C4C2212yes—
270D4×C22⋊C4C2212yes—
271#2326C2212yescomplemented
272#2324C2212yes—
273#2324C2212yescomplemented
274#2324C2212yescomplemented
275#2319C2212yes—
276#2319C2212yescomplemented
277#2315C2214yescomplemented
278#2314C2214yescomplemented
279C4×C4⋊Q8C2211yescharacteristic, complemented
280C4×C4⋊Q8C2211yescharacteristic, complemented
281C4×C4⋊Q8C2211yescharacteristic, complemented
282C4×C4⋊Q8C2211yescharacteristic, complemented
283C4×#127C2211yescharacteristic
284C4×#124C2211yescharacteristic
285C4×#124C2211yescharacteristic
286C4×#124C2211yescharacteristic
287C4×C22⋊Q8C2212yescomplemented
288C4×C22⋊Q8C2212yescomplemented
289C4×C22⋊Q8C2211yescharacteristic, complemented
290C4×C22⋊Q8C2212yescomplemented
291C4×C22⋊Q8C2212yescomplemented
292C4×C22⋊Q8C2212yescomplemented
293C4×#123C2212yescomplemented
294C4×#121C2211yescharacteristic
295#2295C2211yescharacteristic, complemented
296C2×#390C2212yes—
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C23×Q8C2312yes—
301C23×D4C2312yes—
302C23×D4C2312yes—
303#559—44no—
304#557—44no—
305#556—48no—
306D4×Q8—44no—
307#546—48no—
308D42—44no—
309#533—44no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2314yes—
326C2×#124—48no—
327C2×#124C2311yescharacteristic
328C2×#124C2312yes—
329C2×#124C2311yescharacteristic
330C2×#124C2311yescharacteristic
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2314yes—
338C2×#124C2314yes—
339C2×#123C2314yes—
340C2×#123C2312yes—
341C2×#123C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2314yes—
357C2×#121C2311yescharacteristic
358C2×#121C2314yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#120C2314yes—
365C2×#120C2314yes—
366C4×#41—44no—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2311yescharacteristic
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2311yescharacteristic
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×#117C2314yes—
394C2×#117C2312yes—
395C2×#117C2311yescharacteristic
396C2×#117C2314yes—
397C2×#117C2312yes—
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C22×C4⋊C4C2312yes—
401C22×C22⋊C4C2314yes—
402C22×C22⋊C4C2314yes—
403C22×C22⋊C4C2314yes—
404C22×C22⋊C4C2314yes—
405C22×C22⋊C4C2314yes—
406C22×C42C2311yescharacteristic
407C22×C42C2312yes—
408C22×C42C2312yes—
409#401C2312yes—
410#401C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2312yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#400C2314yes—
423#400C2312yes—
424#400C2312yes—
425#400C2312yes—
426#400C2312yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2312yes—
434#399C2312yes—
435#399C2314yes—
436#399C2314yes—
437#398C2314yes—
438#398C2314yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2312yes—
443#398C2314yes—
444#398C2314yes—
445#398C2314yes—
446#398C2314yes—
447#397C2312yes—
448#397C2314yes—
449#397C2312yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2312yes—
462#397C2312yes—
463#397C2312yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2312yes—
470#397C2312yes—
471#397C2312yes—
472#397C2312yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2312yes—
489#396C2314yes—
490#396C2314yes—
491#395C2314yes—
492#395C2314yes—
493#395C2314yes—
494#395C2314yes—
495#395C2314yes—
496#395C2314yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2312yes—
510#394C2314yes—
511#394C2312yes—
512#394C2314yes—
513#394C2314yes—
514#394C2312yes—
515#394C2312yes—
516#394C2312yes—
517#394C2314yes—
518#394C2314yes—
519#393C2312yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2312yes—
528#392C2314yes—
529#391C2311yescharacteristic
530#391C2311yescharacteristic
531#391C2311yescharacteristic
532#391C2312yes—
533#391C2312yes—
534#391C2311yescharacteristic
535#391C2314yes—
536#391C2312yes—
537#391C2312yes—
538#391C2312yes—
539#391C2314yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2311yescharacteristic
545#391C2312yes—
546#391C2312yes—
547#391C2314yes—
548#391C2312yes—
549#391C2311yescharacteristic
550#391C2311yescharacteristic
551#391C2311yescharacteristic
552#391C2311yescharacteristic
553#391C2311yescharacteristic
554#390C2312yes—
555#390C2312yes—
556#390C2312yes—
557#390C2312yes—
558#390C2312yes—
559#390C2312yes—
560#390C2312yes—
561#390C2311yescharacteristic
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2314yes—
566#390C2312yes—
567#390C2312yes—
568#390C2314yes—
569#390C2314yes—
570#390C2311yescharacteristic
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2311yescharacteristic
575#390C2311yescharacteristic
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2314yes—
580#390C2312yes—
581#390C2314yes—
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2311yescharacteristic
590#389C2312yes—
591#389C2311yescharacteristic
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2314yes—
607#389C2314yes—
608#389C2311yescharacteristic
609#389C2312yes—
610#389C2312yes—
611#389C2314yes—
612#389C2312yes—
613#389C2312yes—
614#389C2311yescharacteristic
615#389C2311yescharacteristic
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
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#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2312yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2312yes—
653#388C2312yes—
654#388C2312yes—
655#388C2312yes—
656#387C2312yes—
657#387C2312yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2314yes—
671#387C2314yes—
672#387C2312yes—
673#387C2312yes—
674#387C2314yes—
675#387C2312yes—
676#387C2312yes—
677#387C2314yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2312yes—
696#386C2312yes—
697#385C2314yes—
698#385C2314yes—
699#385C2312yes—
700#385C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2312yes—
715#385C2314yes—
716#385C2312yes—
717#385C2312yes—
718#385C2312yes—
719#385C2312yes—
720#385C2312yes—
721#385C2314yes—
722#384C2311yescharacteristic
723#384C2311yescharacteristic
724#384C2311yescharacteristic
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2312yes—
728#384C2314yes—
729#382C2312yes—
730#382C2312yes—
731#382C2311yescharacteristic
732#382C2311yescharacteristic
733#382C2314yes—
734#382C2312yes—
735#382C2311yescharacteristic
736#381C2314yes—
737#381C2314yes—
738#381C2314yes—
739#381C2314yes—
740#381C2314yes—
741#381C2314yes—
742#381C2312yes—
743#380C2311yescharacteristic
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2314yes—
759#380C2312yes—
760#380C2312yes—
761#380C2314yes—
762#380C2311yescharacteristic
763#380C2314yes—
764#380C2312yes—
765#380C2312yes—
766#379C2314yes—
767#379C2314yes—
768#379C2314yes—
769#379C2314yes—
770#379C2314yes—
771#379C2314yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2314yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814#376C2312yes—
815#376C2311yescharacteristic
816#376C2311yescharacteristic
817C43C2311yescharacteristic
818C43C2311yescharacteristic
819C25C2414yes—
820C2×#41—24no—
821C2×#41—42no—
822C2×#41—42no—
823C22×Q8—44no—
824C22×Q8—44no—
825C22×Q8—44no—
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2411yescharacteristic
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2412yes—
833C22×Q8C2414yes—
834C22×D4—28no—
835C22×D4—28no—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2411yescharacteristic
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C22×D4C2414yes—
850C23×C4C2412yes—
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2414yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2412yes—
862C23×C4C2414yes—
863C4⋊Q8—24no—
864C4⋊Q8—42no—
865C4⋊Q8—42no—
866C4⋊Q8—44no—
867C4⋊Q8—42no—
868C4⋊Q8—42no—
869C4⋊Q8—42no—
870C4⋊Q8—44no—
871C4⋊Q8—44no—
872#127—24no—
873#126—48no—
874#126—48no—
875#125—44no—
876#125—44no—
877#125—44no—
878#125—48no—
879#124—24no—
880#124—28no—
881#124—24no—
882#124—24no—
883#124—44no—
884#124—44no—
885#124—44no—
886#124—44no—
887#124—44no—
888#124—44no—
889#124—48no—
890#124—48no—
891#123—44no—
892#123—48no—
893#123—48no—
894C22⋊Q8—48no—
895C22⋊Q8—44no—
896C22⋊Q8—44no—
897C22⋊Q8—48no—
898C22⋊Q8—48no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901C22⋊Q8—44no—
902C22⋊Q8—44no—
903C22⋊Q8—44no—
904C22⋊Q8—42no—
905C22⋊Q8—42no—
906C22⋊Q8—42no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909#121—24no—
910#121—44no—
911#121—44no—
912#121—44no—
913#121—44no—
914#121—44no—
915#121—48no—
916#120—48no—
917#120—48no—
918C4×Q8—24no—
919C4×Q8—24no—
920C4×Q8—24no—
921C4×Q8—24no—
922C4×Q8—44no—
923C4×Q8—44no—
924C4×Q8—42no—
925C4×Q8—44no—
926C4×Q8—44no—
927C4×Q8—44no—
928C4×Q8—44no—
929C4×D4—28no—
930C4×D4—24no—
931C4×D4—24no—
932C4×D4—24no—
933C4×D4—44no—
934C4×D4—44no—
935C4×D4—42no—
936C4×D4—42no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4—44no—
944#117—44no—
945#117—42no—
946#117—44no—
947#117—48no—
948#117—48no—
949#117—42no—
950#117—42no—
951C2×C4⋊C4—44no—
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C22⋊C4—48no—
1020C2×C22⋊C4—48no—
1021C2×C22⋊C4—48no—
1022C2×C22⋊C4—48no—
1023C2×C22⋊C4—48no—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2412yes—
1026C2×C22⋊C4C2412yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2411yescharacteristic
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2411yescharacteristic
1059C2×C22⋊C4C2411yescharacteristic
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C42—24no—
1088C2×C42—44no—
1089C2×C42—44no—
1090C2×C42C2411yescharacteristic
1091C2×C42C2411yescharacteristic
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2412yes—
1098C2×C42C2412yes—
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2411yescharacteristic
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2414yes—
1110C2×C42C2414yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2414yes—
1115C2×C42C2414yes—
1116C2×C42C2412yes—
1117C2×C42C2414yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121#95C2411yescharacteristic
1122#95C2411yescharacteristic
1123#95C2411yescharacteristic
1124#95C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2412yes—
1130#95C2412yes—
1131#95C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2414yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191C24—28no—
1192C24—28no—
1193C24—44no—
1194C24—44no—
1195C24—44no—
1196C24—44no—
1197C24—44no—
1198C24C2514yes—
1199C24C2511yescharacteristic
1200C24C2512yes—
1201C24C2512yes—
1202#41—416no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—22no—
1206C2×Q8—22no—
1207C2×Q8—22no—
1208C2×Q8—24no—
1209C2×Q8—24no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—22no—
1214C2×Q8—22no—
1215C2×Q8—24no—
1216C2×Q8—22no—
1217C2×Q8—22no—
1218C2×Q8—24no—
1219C2×Q8—42no—
1220C2×Q8—42no—
1221C2×Q8—44no—
1222C2×Q8—42no—
1223C2×Q8—42no—
1224C2×Q8—44no—
1225C2×Q8—42no—
1226C2×Q8—44no—
1227C2×Q8—816no—
1228C2×D4—24no—
1229C2×D4—28no—
1230C2×D4—24no—
1231C2×D4—28no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—816no—
1257C2×D4—816no—
1258C2×D4H(5,𝔽2)14yes—
1259C2×D42−1+414yes—
1260C22×C4—24no—
1261C22×C4—28no—
1262C22×C4—24no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—24no—
1267C22×C4—24no—
1268C22×C4—24no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—28no—
1279C22×C4—42no—
1280C22×C4—41no—
1281C22×C4—42no—
1282C22×C4—42no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—44no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4C2512yes—
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2511yescharacteristic
1307C22×C4C2514yes—
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2514yes—
1318C22×C4C2512yes—
1319C22×C4C2512yes—
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2514yes—
1323C22×C4C2512yes—
1324C22×C4C2512yes—
1325C22×C4C2511yescharacteristic
1326C22×C4C2511yescharacteristic
1327C22×C4C2511yescharacteristic
1328C22×C4C2511yescharacteristic
1329C22×C4C2511yescharacteristic
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—22no—
1336C4⋊C4—22no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—22no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—22no—
1355C4⋊C4—24no—
1356C4⋊C4—44no—
1357C4⋊C4—41no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—44no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—42no—
1377C4⋊C4—42no—
1378C4⋊C4—42no—
1379C4⋊C4—42no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4—42no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—42no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—42no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C22⋊C4—24no—
1398C22⋊C4—24no—
1399C22⋊C4—28no—
1400C22⋊C4—28no—
1401C22⋊C4—24no—
1402C22⋊C4—28no—
1403C22⋊C4—24no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—28no—
1414C22⋊C4—22no—
1415C22⋊C4—42no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—41no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—41no—
1431C22⋊C4—41no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4—44no—
1446C22⋊C4—44no—
1447C22⋊C4—42no—
1448C22⋊C4—42no—
1449C22⋊C4—42no—
1450C22⋊C4—42no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—42no—
1456C22⋊C4—42no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—24no—
1465C42—24no—
1466C42—24no—
1467C42—24no—
1468C42—24no—
1469C42—24no—
1470C42—22no—
1471C42—22no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—22no—
1476C42—22no—
1477C42—22no—
1478C42—42no—
1479C42—42no—
1480C42—42no—
1481C42—42no—
1482C42—41no—
1483C42—41no—
1484C42—41no—
1485C42—44no—
1486C42—44no—
1487C42—44no—
1488C42—44no—
1489C42—44no—
1490C42H(5,𝔽2)14yes—
1491C23—22no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—22no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—24no—
1504C23—21no—
1505C23—24no—
1506C23—21no—
1507C23—21no—
1508C23—24no—
1509C23—21no—
1510C23—24no—
1511C23—21no—
1512C23—24no—
1513C23—24no—
1514C23—21no—
1515C23—21no—
1516C23—24no—
1517C23—416no—
1518C23—88no—
1519C23—88no—
1520C23—88no—
1521C23—88no—
1522C23—164no—
1523C23—164no—
1524C23C2×H(5,𝔽2)14yes—
1525C23C2×2−1+414yes—
1526C23C2611yescharacteristic
1527Q8—44no—
1528Q8—48no—
1529Q8—44no—
1530Q8—44no—
1531Q8—44no—
1532Q8—84no—
1533Q8—84no—
1534Q8—88no—
1535D4—28no—
1536D4—28no—
1537D4—48no—
1538D4—48no—
1539D4—48no—
1540D4—84no—
1541D4—84no—
1542D4—88no—
1543D4—88no—
1544D4—164no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—22no—
1573C2×C4—24no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—22no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—22no—
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—21no—
1611C2×C4—22no—
1612C2×C4—24no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—24no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—24no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—21no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—44no—
1630C2×C4—48no—
1631C2×C4—48no—
1632C2×C4—44no—
1633C2×C4—44no—
1634C2×C4—48no—
1635C2×C4—88no—
1636C2×C4—84no—
1637C2×C4—84no—
1638C2×C4—88no—
1639C2×C4—84no—
1640C2×C4—88no—
1641C2×C4—164no—
1642C2×C4C2×H(5,𝔽2)12yes—
1643C2×C4C2×H(5,𝔽2)12yes—
1644C2×C4C2×H(5,𝔽2)12yes—
1645C2×C4C2×H(5,𝔽2)12yes—
1646C2×C4C2×2−1+412yes—
1647C2×C4#58512yes—
1648C2×C4#58512yes—
1649C2×C4#58512yes—
1650C2×C4#58512yes—
1651C22—24no—
1652C22—24no—
1653C22—24no—
1654C22—24no—
1655C22—24no—
1656C22—24no—
1657C22—42no—
1658C22—42no—
1659C22—42no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—41no—
1666C22—44no—
1667C22—41no—
1668C22—44no—
1669C22—41no—
1670C22—44no—
1671C22—41no—
1672C22—44no—
1673C22—44no—
1674C22—41no—
1675C22—41no—
1676C22—44no—
1677C22—41no—
1678C22—44no—
1679C22—1616no—
1680C22C22×H(5,𝔽2)11yescharacteristic
1681C22C22×H(5,𝔽2)11yescharacteristic
1682C22C22×2−1+411yescharacteristic
1683C22C2×#58511yescharacteristic
1684C22C2×#58511yescharacteristic
1685C22C2×#58511yescharacteristic
1686C22C2×#58511yescharacteristic
1687C4—22no—
1688C4—22no—
1689C4—22no—
1690C4—41no—
1691C4—42no—
1692C4—42no—
1693C4—41no—
1694C4—42no—
1695C4—41no—
1696C4—42no—
1697C4—41no—
1698C4—42no—
1699C4—44no—
1700C4—42no—
1701C4—41no—
1702C4—41no—
1703C4—41no—
1704C4—41no—
1705C4—44no—
1706C4—42no—
1707C4—42no—
1708C4—42no—
1709C4—42no—
1710C4—41no—
1711C4—42no—
1712C4—42no—
1713C4—42no—
1714C4—44no—
1715C4—42no—
1716C4#354214yes—
1717C4#356114yes—
1718C2—44no—
1719C2—44no—
1720C2—81no—
1721C2—84no—
1722C2C2×#354211yescharacteristic
1723C2C2×#356111yescharacteristic
1724C2#6283011yescharacteristic
1725C2#6301311yescharacteristic
1726C2#6302111yescharacteristic
1727C2#6302511yescharacteristic
1728C2#6303011yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36258C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59863C2semidirect
2. #59862C2semidirect
3. #59428C2semidirect
4. #59420C2semidirect
5. #59413C2semidirect
6. #59148C2semidirect
7. #56639C2semidirect
8. #55428C2semidirect
9. #53041C2semidirect
10. #53025C2semidirect
11. #49961C2semidirect
12. #47197C2semidirect
13. #45714C2semidirect
14. #45702C2semidirect
15. #45081C2semidirect
16. #45061C2semidirect
17. #42869C2semidirect
18. #42680C2semidirect
19. #42564C2semidirect
20. #42563C2semidirect
21. #39746C2semidirect
22. #39726C2semidirect
23. #39596C2semidirect
24. #39029C2semidirect
25. #39023C2semidirect
26. #38977C2semidirect
27. #38962C2semidirect
28. #38918C2semidirect
29. #36505C2semidirect
30. #36477C2semidirect
32. D4×#124C2semidirect
33. #35288C2semidirect
34. #34979C2semidirect
35. #34969C2semidirect
37. C2×#557C22semidirect
42. C2×#533C22semidirect
45. #2859C22semidirect
47. #2857C22semidirect
49. #2855C22semidirect
51. #2851C22semidirect
53. #2841C22semidirect
54. #2838C22semidirect
55. #2838C22semidirect
56. #2832C22semidirect
57. #2831C22semidirect
58. #2827C22semidirect
59. #2816C22semidirect
60. #2808C22semidirect
61. #2796C22semidirect
62. #2793C22semidirect
63. #2784C22semidirect
64. #2781C22semidirect
65. #2780C22semidirect
66. #2778C22semidirect
67. #2765C22semidirect
68. #2754C22semidirect
69. #2753C22semidirect
70. #2751C22semidirect
71. #2751C22semidirect
72. #2750C22semidirect
73. #2748C22semidirect
74. #2746C22semidirect
75. #2746C22semidirect
76. #2745C22semidirect
77. #2743C22semidirect
78. #2742C22semidirect
79. #2741C22semidirect
80. #2739C22semidirect
81. #2739C22semidirect
82. #2735C22semidirect
83. #2728C22semidirect
84. #2720C22semidirect
85. #2718C22semidirect
86. #2718C22semidirect
87. #2717C22semidirect
88. #2717C22semidirect
89. #2715C22semidirect
90. #2707C22semidirect
91. #2704C22semidirect
92. #2700C22semidirect
94. #2694C22semidirect
95. #2694C22semidirect
96. #2692C22semidirect
97. #2692C22semidirect
98. #2689C22semidirect
99. #2686C22semidirect
100. #2686C22semidirect
101. #2685C22semidirect
102. #2685C22semidirect
103. #2681C22semidirect
104. #2658C22semidirect
105. #2651C22semidirect
106. #2650C22semidirect
107. #2648C22semidirect
108. #2645C22semidirect
109. #2644C22semidirect
110. #2628C22semidirect
111. #2626C22semidirect
112. #2624C22semidirect
113. #2624C22semidirect
114. #2622C22semidirect
115. #2620C22semidirect
116. #2611C22semidirect
117. #2611C22semidirect
118. #2608C22semidirect
119. #2595C22semidirect
120. #2592C22semidirect
121. #2592C22semidirect
122. #2592C22semidirect
123. #2587C22semidirect
124. #2582C22semidirect
125. #2581C22semidirect
127. #2570C22semidirect
128. #2568C22semidirect
129. #2567C22semidirect
131. #2563C22semidirect
132. #2562C22semidirect
133. #2561C22semidirect
134. #2556C22semidirect
135. #2550C22semidirect
140. #2547C22semidirect
141. #2547C22semidirect
142. #2546C22semidirect
143. #2546C22semidirect
144. #2545C22semidirect
145. #2545C22semidirect
147. #2542C22semidirect
151. #2538C22semidirect
152. #2536C22semidirect
154. #2530C22semidirect
155. #2527C22semidirect
156. #2521C22semidirect
157. #2516C22semidirect
158. #2513C22semidirect
159. #2513C22semidirect
160. #2513C22semidirect
161. #2511C22semidirect
162. #2509C22semidirect
163. #2508C22semidirect
164. #2503C22semidirect
165. #2499C22semidirect
166. #2499C22semidirect
167. #2497C22semidirect
168. #2496C22semidirect
169. #2496C22semidirect
170. #2494C22semidirect
171. #2494C22semidirect
172. #2492C22semidirect
173. #2492C22semidirect
176. #2490C22semidirect
177. #2489C22semidirect
178. #2485C22semidirect
179. #2483C22semidirect
180. #2482C22semidirect
181. #2482C22semidirect
182. #2480C22semidirect
183. #2480C22semidirect
184. #2478C22semidirect
185. #2477C22semidirect
186. #2477C22semidirect
187. #2475C22semidirect
188. #2474C22semidirect
191. #2471C22semidirect
192. #2470C22semidirect
193. #2460C22semidirect
195. #2454C22semidirect
196. #2454C22semidirect
197. #2454C22semidirect
199. #2452C22semidirect
200. #2451C22semidirect
201. #2448C22semidirect
202. #2448C22semidirect
203. #2448C22semidirect
207. #2447C22semidirect
208. #2446C22semidirect
209. #2446C22semidirect
210. #2442C22semidirect
211. #2440C22semidirect
212. #2437C22semidirect
213. #2437C22semidirect
218. #2434C22semidirect
219. #2434C22semidirect
223. #2429C22semidirect
224. #2429C22semidirect
228. #2427C22semidirect
229. #2427C22semidirect
231. #2426C22semidirect
232. #2426C22semidirect
234. #2423C22semidirect
238. #2420C22semidirect
240. #2415C22semidirect
241. #2415C22semidirect
243. #2412C22semidirect
245. #2409C22semidirect
247. #2401C22semidirect
248. #2398C22semidirect
249. #2395C22semidirect
250. #2395C22semidirect
251. #2378C22semidirect
252. #2370C22semidirect
255. #2362C22semidirect
257. #2355C22semidirect
258. #2355C22semidirect
259. #2354C22semidirect
260. #2354C22semidirect
261. Q8×C4⋊C4C22semidirect
263. #2344C22semidirect
264. #2342C22semidirect
265. Q8×C22⋊C4C22semidirect
271. #2326C22semidirect
273. #2324C22semidirect
274. #2324C22semidirect
276. #2319C22semidirect
277. #2315C22semidirect
278. #2314C22semidirect
279. C4×C4⋊Q8C22semidirect
280. C4×C4⋊Q8C22semidirect
281. C4×C4⋊Q8C22semidirect
282. C4×C4⋊Q8C22semidirect
287. C4×C22⋊Q8C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×C22⋊Q8C22semidirect
290. C4×C22⋊Q8C22semidirect
291. C4×C22⋊Q8C22semidirect
292. C4×C22⋊Q8C22semidirect
293. C4×#123C22semidirect
295. #2295C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#598632
#598622
#594282
#594202
#594132
#591482
#566392
#554282
#530412
#530252
#499612
#471972
#457142
#457022
#450812
#450612
#428692
#426802
#425642
#425632
#397462
#397262
#395962
#390292
#390232
#389772
#389622
#389182
#365052
#364772
#362582
D4×#1242
#352882
#349792
#349692