Finite Group Databasebeta

← #8094560

Subgroups — #8094560

Order 512.

5252 conjugacy classes of subgroups.

The subgroup lattice has 1830 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53120C212yesmaximal, complemented
2#53115C212yesmaximal, complemented
3#53108C212yesmaximal, complemented
4#53105C212yesmaximal, complemented
5#53076C212yesmaximal, complemented
6#53021C212yesmaximal, complemented
7#52992C212yesmaximal, complemented
8#52973C212yesmaximal, complemented
9#52370C214yesmaximal, complemented
10#52343C214yesmaximal, complemented
11#46112C212yesmaximal, complemented
12#46083C212yesmaximal, complemented
13#46042C212yesmaximal, complemented
14#45995C212yesmaximal, complemented
15#45703C212yesmaximal, complemented
16#45653C212yesmaximal, complemented
17#45639C212yesmaximal, complemented
18#45484C212yesmaximal, complemented
19#45462C214yesmaximal, complemented
20#45445C214yesmaximal, complemented
21#35575C211yesmaximal, characteristic, complemented
22#35564C211yesmaximal, characteristic, complemented
23#35533C211yesmaximal, characteristic, complemented
24#35532C211yesmaximal, characteristic, complemented
25#35531C211yesmaximal, characteristic, complemented
26#35530C211yesmaximal, characteristic, complemented
27#35265C211yesmaximal, characteristic, complemented
28#35264C211yesmaximal, characteristic, complemented
29#35256C211yesmaximal, characteristic, complemented
30#35255C211yesmaximal, characteristic, complemented
31#35168C211yesmaximal, characteristic, complemented
32#35152C211yesmaximal, characteristic, complemented
33#34955C211yesmaximal, characteristic, complemented
34#34952C211yesmaximal, characteristic, complemented
35C2×#2538C211yesmaximal, characteristic, complemented
36C2×#562C2214yescomplemented
37C2×#544C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#537C2211yescharacteristic
40C2×#535C2211yescharacteristic
41C2×#535C2211yescharacteristic
42C2×#535C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C22×C22⋊Q8C2212yes—
45C2×#520C2211yescharacteristic
46C2×#520C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic
48C22×C4×Q8C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic
50#2864C2212yescomplemented
51#2861C2212yes—
52#2859C2212yescomplemented
53#2858C2212yes—
54#2856C2212yes—
55#2855C2212yescomplemented
56#2854C2212yescomplemented
57#2850C2212yes—
58#2849C2214yes—
59#2847C2214yes—
60#2841C2214yescomplemented
61#2837C2214yescomplemented
62#2837C2214yescomplemented
63#2836C2214yescomplemented
64#2831C2214yescomplemented
65#2830C2214yescomplemented
66#2829C2214yescomplemented
67#2829C2214yescomplemented
68#2829C2214yescomplemented
69#2829C2214yescomplemented
70#2827C2214yescomplemented
71#2826C2214yescomplemented
72#2826C2214yescomplemented
73#2820C2214yescomplemented
74#2816C2214yescomplemented
75#2814C2214yescomplemented
76#2814C2214yescomplemented
77#2813C2214yescomplemented
78#2813C2214yescomplemented
79#2813C2214yescomplemented
80#2800C2214yescomplemented
81#2800C2214yescomplemented
82#2786C2214yescomplemented
83#2783C2214yescomplemented
84#2781C2214yescomplemented
85#2781C2214yescomplemented
86#2779C2214yescomplemented
87#2779C2214yescomplemented
88#2772C2214yescomplemented
89#2761C2214yescomplemented
90#2747C2214yescomplemented
91#2743C2214yescomplemented
92#2741C2214yescomplemented
93#2740C2214yescomplemented
94#2732C2214yescomplemented
95#2730C2214yescomplemented
96#2730C2214yescomplemented
97#2711C2214yescomplemented
98#2708C2214yescomplemented
99#2706C2214yescomplemented
100#2706C2214yescomplemented
101#2704C2214yescomplemented
102#2701C2214yescomplemented
103#2700C2214yescomplemented
104#2696C2214yescomplemented
105#2696C2214yescomplemented
106#2692C2214yescomplemented
107#2692C2214yescomplemented
108#2687C2214yescomplemented
109#2686C2214yescomplemented
110#2682C2214yescomplemented
111#2681C2214yescomplemented
112#2681C2214yescomplemented
113#2681C2214yescomplemented
114#2676C2214yescomplemented
115#2676C2214yescomplemented
116#2672C2214yescomplemented
117#2672C2214yescomplemented
118#2672C2214yescomplemented
119#2671C2214yescomplemented
120#2647C2212yescomplemented
121#2647C2212yescomplemented
122#2641C2212yes—
123#2640C2212yes—
124#2625C2212yescomplemented
125#2624C2212yescomplemented
126#2622C2214yes—
127#2620C2212yes—
128#2619C2212yes—
129#2617C2214yes—
130#2592C2211yescharacteristic, complemented
131#2592C2211yescharacteristic, complemented
132#2592C2211yescharacteristic, complemented
133#2592C2211yescharacteristic, complemented
134#2591C2212yes—
135#2591C2212yes—
136#2582C2211yescharacteristic, complemented
137#2582C2211yescharacteristic, complemented
138#2581C2211yescharacteristic, complemented
139#2581C2211yescharacteristic, complemented
140#2580C2211yescharacteristic, complemented
141#2580C2211yescharacteristic, complemented
142#2579C2212yes—
143#2579C2212yes—
144#2568C2211yescharacteristic, complemented
145#2568C2211yescharacteristic, complemented
146#2567C2212yescomplemented
147#2566C2212yescomplemented
148#2565C2212yescomplemented
149#2564C2214yes—
150#2548C2212yes—
151#2548C2211yescharacteristic, complemented
152#2548C2211yescharacteristic, complemented
153#2545C2212yes—
154#2544C2212yes—
155#2543C2214yes—
156#2542C2212yescomplemented
157#2541C2212yes—
158#2538C2212yes—
159#2538C2212yes—
160#2538C2212yes—
161#2538C2212yes—
162#2538C2212yes—
163#2538C2212yes—
164#2538C2212yes—
165#2538C2212yes—
166#2538C2211yescharacteristic, complemented
167#2538C2211yescharacteristic, complemented
168#2509C2212yescomplemented
169#2508C2212yescomplemented
170#2507C2212yescomplemented
171#2506C2212yescomplemented
172#2505C2214yes—
173#2504C2212yes—
174#2504C2212yes—
175#2502C2212yescomplemented
176#2501C2212yes—
177#2501C2212yescomplemented
178#2500C2212yes—
179#2500C2212yes—
180#2500C2212yescomplemented
181#2499C2212yescomplemented
182#2491C2212yes—
183#2491C2212yes—
184#2490C2212yes—
185#2490C2212yes—
186#2487C2212yes—
187#2473C2214yes—
188#2472C2214yes—
189#2472C2214yes—
190#2454C2212yescomplemented
191#2453C2212yescomplemented
192#2452C2212yescomplemented
193#2451C2212yescomplemented
194#2449C2214yes—
195#2449C2214yes—
196#2448C2212yes—
197#2448C2212yes—
198#2447C2212yes—
199#2447C2212yes—
200#2445C2212yes—
201#2445C2212yes—
202#2445C2212yes—
203#2445C2212yes—
204#2444C2214yes—
205#2443C2214yes—
206#2443C2214yes—
207#2443C2214yes—
208#2442C2212yescomplemented
209#2441C2212yescomplemented
210#2441C2212yescomplemented
211#2441C2212yescomplemented
212#2440C2212yescomplemented
213#2440C2212yescomplemented
214#2440C2212yescomplemented
215#2439C2212yescomplemented
216#2436C2212yes—
217#2429C2212yescomplemented
218#2428C2212yes—
219#2428C2212yes—
220#2428C2212yes—
221#2428C2212yes—
222#2428C2212yes—
223#2428C2212yes—
224#2428C2212yescomplemented
225#2427C2212yes—
226#2427C2212yes—
227#2427C2212yes—
228#2427C2212yes—
229#2427C2212yescomplemented
230#2426C2212yes—
231#2426C2212yes—
232#2426C2212yescomplemented
233#2424C2214yes—
234#2424C2214yes—
235#2424C2214yes—
236#2424C2214yes—
237#2423C2212yescomplemented
238#2423C2212yescomplemented
239#2423C2212yescomplemented
240#2422C2212yes—
241#2422C2212yes—
242#2422C2212yescomplemented
243#2422C2212yescomplemented
244#2422C2212yescomplemented
245#2421C2212yescomplemented
246#2420C2212yes—
247#2420C2212yes—
248#2420C2212yescomplemented
249#2418C2214yes—
250#2418C2214yes—
251#2417C2214yes—
252#2417C2212yescomplemented
253#2416C2212yes—
254#2416C2212yes—
255#2416C2214yes—
256#2416C2212yescomplemented
257#2415C2212yescomplemented
258#2414C2212yes—
259#2414C2212yes—
260#2414C2212yescomplemented
261#2409C2212yes—
262#2398C2212yescomplemented
263#2398C2212yescomplemented
264#2396C2212yescomplemented
265#2396C2212yescomplemented
266C2×#396C2212yes—
267C2×#396C2212yes—
268#2378C2214yescomplemented
269#2377C2214yescomplemented
270#2376C2214yescomplemented
271#2317C2211yescharacteristic
272#2317C2211yescharacteristic
273#2317C2211yescharacteristic
274#2316C2211yescharacteristic
275#2311C2211yescharacteristic
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2309C2211yescharacteristic
279C4×#124C2212yescomplemented
280C4×#124C2212yescomplemented
281C4×C22⋊Q8C2212yescomplemented
282C4×C22⋊Q8C2212yescomplemented
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288#2297C2211yescharacteristic
289#2296C2211yescharacteristic
290#2296C2211yescharacteristic
291C2×#390C2211yescharacteristic
292C2×#390C2211yescharacteristic
293C2×#389C2211yescharacteristic
294C2×#389C2211yescharacteristic
295#2285C2211yescharacteristic
296C2×#384C2211yescharacteristic
297C2×#380C2212yes—
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302C23×Q8C2311yescharacteristic
303C23×D4C2311yescharacteristic
304C24×C4C2312yes—
305#562—416no—
306#544—44no—
307#537—44no—
308#537—44no—
309#535—44no—
310#535—44no—
311#535—44no—
312#532—44no—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×#127C2312yes—
317C2×#127C2312yes—
318C2×#127C2311yescharacteristic
319C2×#127C2312yes—
320C2×#125C2314yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#124C2312yes—
324C2×#124C2314yes—
325C2×#124C2311yescharacteristic
326C2×#124C2311yescharacteristic
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#123C2314yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×C22⋊Q8—48no—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2314yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2314yes—
354C2×#121C2314yes—
355C2×#121C2312yes—
356C2×#121C2314yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#120C2314yes—
376C2×#120C2314yes—
377C2×#120C2314yes—
378#520—44no—
379#520—44no—
380C4×#41—44no—
381C2×C4×Q8—44no—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2311yescharacteristic
384C2×C4×Q8C2311yescharacteristic
385C2×C4×Q8C2311yescharacteristic
386C2×C4×Q8C2311yescharacteristic
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2311yescharacteristic
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2312yes—
394C2×C4×D4—44no—
395C2×C4×D4C2314yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2314yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×#117C2311yescharacteristic
410C2×#117C2311yescharacteristic
411C2×#117C2311yescharacteristic
412C2×#117C2311yescharacteristic
413C2×#117C2311yescharacteristic
414C2×#117C2312yes—
415C2×#117C2312yes—
416C2×#117C2312yes—
417C22×C4⋊C4C2311yescharacteristic
418C22×C4⋊C4C2311yescharacteristic
419C22×C4⋊C4C2311yescharacteristic
420C22×C4⋊C4C2311yescharacteristic
421C22×C4⋊C4C2311yescharacteristic
422C22×C4⋊C4C2311yescharacteristic
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2312yes—
425C22×C4⋊C4C2312yes—
426C22×C4⋊C4C2312yes—
427C22×C4⋊C4C2312yes—
428C22×C4⋊C4C2312yes—
429C22×C22⋊C4C2312yes—
430C22×C22⋊C4C2312yes—
431C22×C22⋊C4C2312yes—
432C22×C22⋊C4C2312yes—
433C22×C22⋊C4C2312yes—
434C22×C42C2311yescharacteristic
435C22×C42C2311yescharacteristic
436C22×C42C2311yescharacteristic
437C22×C42C2312yes—
438#400C2314yes—
439#400C2312yes—
440#400C2312yes—
441#400C2312yes—
442#400C2312yes—
443#400C2312yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2312yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#399C2314yes—
456#399C2312yes—
457#399C2314yes—
458#399C2312yes—
459#399C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2312yes—
465#398C2312yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2312yes—
471#398C2312yes—
472#398C2314yes—
473#398C2314yes—
474#398C2314yes—
475#398C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2312yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2312yes—
483#397C2314yes—
484#397C2314yes—
485#397C2312yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2312yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#396C2312yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2312yes—
508#396C2314yes—
509#396C2314yes—
510#396C2312yes—
511#396C2312yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#395C2314yes—
519#395C2314yes—
520#395C2314yes—
521#395C2312yes—
522#395C2312yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2312yes—
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#394C2314yes—
551#394C2314yes—
552#394C2312yes—
553#394C2312yes—
554#394C2312yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#393C2312yes—
559#393C2312yes—
560#393C2314yes—
561#393C2314yes—
562#393C2314yes—
563#393C2312yes—
564#393C2312yes—
565#393C2312yes—
566#393C2312yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#391C2311yescharacteristic
575#391C2312yes—
576#391C2312yes—
577#391C2312yes—
578#391C2311yescharacteristic
579#391C2311yescharacteristic
580#391C2311yescharacteristic
581#391C2311yescharacteristic
582#391C2311yescharacteristic
583#391C2311yescharacteristic
584#391C2311yescharacteristic
585#391C2312yes—
586#391C2312yes—
587#391C2314yes—
588#391C2311yescharacteristic
589#391C2311yescharacteristic
590#391C2311yescharacteristic
591#391C2311yescharacteristic
592#391C2312yes—
593#391C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2311yescharacteristic
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2314yes—
604#390C2314yes—
605#390C2314yes—
606#390C2314yes—
607#390C2311yescharacteristic
608#390C2311yescharacteristic
609#390C2311yescharacteristic
610#390C2311yescharacteristic
611#390C2311yescharacteristic
612#390C2311yescharacteristic
613#390C2311yescharacteristic
614#390C2311yescharacteristic
615#390C2311yescharacteristic
616#390C2311yescharacteristic
617#390C2311yescharacteristic
618#390C2312yes—
619#390C2314yes—
620#390C2312yes—
621#390C2314yes—
622#390C2312yes—
623#390C2314yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#389C2314yes—
631#389C2314yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2312yes—
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2311yescharacteristic
650#389C2311yescharacteristic
651#389C2314yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2314yes—
656#389C2312yes—
657#389C2314yes—
658#389C2314yes—
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#388C2312yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2312yes—
697#387C2314yes—
698#387C2314yes—
699#387C2312yes—
700#387C2312yes—
701#387C2312yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#386C2312yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2312yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#386C2312yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2312yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2312yes—
746#385C2312yes—
747#385C2312yes—
748#385C2312yes—
749#385C2312yes—
750#385C2312yes—
751#385C2312yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#384C2312yes—
757#384C2312yes—
758#384C2312yes—
759#384C2312yes—
760#384C2312yes—
761#384C2311yescharacteristic
762#384C2311yescharacteristic
763#384C2312yes—
764#384C2312yes—
765#382C2312yes—
766#382C2312yes—
767#382C2312yes—
768#382C2312yes—
769#382C2312yes—
770#382C2311yescharacteristic
771#382C2311yescharacteristic
772#382C2314yes—
773#381C2314yes—
774#381C2314yes—
775#381C2314yes—
776#380C2312yes—
777#380C2314yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2314yes—
785#380C2314yes—
786#380C2314yes—
787#380C2314yes—
788#380C2312yes—
789#380C2314yes—
790#380C2314yes—
791#380C2312yes—
792#380C2314yes—
793#380C2314yes—
794#380C2312yes—
795#379C2314yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820#376C2312yes—
821C2×#95C2312yes—
822C2×#95C2312yes—
823C43C2312yes—
824C25C2412yes—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C22×Q8—24no—
835C22×Q8—42no—
836C22×Q8—42no—
837C22×Q8C2411yescharacteristic
838C22×Q8C2411yescharacteristic
839C22×Q8C2411yescharacteristic
840C22×Q8C2411yescharacteristic
841C22×Q8C2411yescharacteristic
842C22×Q8C2411yescharacteristic
843C22×Q8C2414yes—
844C22×Q8C2411yescharacteristic
845C22×D4—24no—
846C22×D4—24no—
847C22×D4—24no—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2411yescharacteristic
853C22×D4C2412yes—
854C22×D4C2411yescharacteristic
855C22×D4C2411yescharacteristic
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C23×C4—44no—
867C23×C4—44no—
868C23×C4—44no—
869C23×C4C2411yescharacteristic
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2414yes—
883C23×C4C2414yes—
884C23×C4C2414yes—
885C23×C4C2414yes—
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C4⋊Q8—44no—
889C4⋊Q8—44no—
890C4⋊Q8—42no—
891#127—42no—
892#127—44no—
893#127—44no—
894#127—44no—
895#125—44no—
896#125—44no—
897#125—48no—
898#124—28no—
899#124—48no—
900#124—42no—
901#124—42no—
902#124—44no—
903#124—44no—
904#124—44no—
905#124—44no—
906#124—84no—
907#123—48no—
908#123—48no—
909#123—48no—
910#123—48no—
911#123—48no—
912#123—84no—
913#123—84no—
914C22⋊Q8—216no—
915C22⋊Q8—28no—
916C22⋊Q8—48no—
917C22⋊Q8—48no—
918C22⋊Q8—48no—
919C22⋊Q8—48no—
920C22⋊Q8—48no—
921C22⋊Q8—44no—
922C22⋊Q8—48no—
923C22⋊Q8—44no—
924C22⋊Q8—44no—
925C22⋊Q8—44no—
926C22⋊Q8—44no—
927C22⋊Q8—84no—
928#121—48no—
929#121—48no—
930#121—48no—
931#121—48no—
932#121—48no—
933#121—44no—
934#121—44no—
935#121—44no—
936#121—44no—
937#121—44no—
938#121—44no—
939#121—44no—
940#121—44no—
941#121—44no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—48no—
946#121—48no—
947#121—84no—
948#121—84no—
949#120—48no—
950#120—48no—
951#120—48no—
952C4×Q8—42no—
953C4×Q8—42no—
954C4×Q8—42no—
955C4×Q8—42no—
956C4×Q8—42no—
957C4×Q8—42no—
958C4×Q8—42no—
959C4×Q8—42no—
960C4×Q8—42no—
961C4×Q8—42no—
962C4×Q8—44no—
963C4×Q8—44no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—44no—
967C4×D4—44no—
968C4×D4—42no—
969C4×D4—42no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—48no—
977C4×D4—48no—
978#117—24no—
979#117—24no—
980#117—24no—
981#117—24no—
982#117—24no—
983#117—44no—
984#117—44no—
985#117—44no—
986C2×C4⋊C4—24no—
987C2×C4⋊C4—24no—
988C2×C4⋊C4—24no—
989C2×C4⋊C4—44no—
990C2×C4⋊C4—44no—
991C2×C4⋊C4—44no—
992C2×C4⋊C4—44no—
993C2×C4⋊C4—44no—
994C2×C4⋊C4—42no—
995C2×C4⋊C4—42no—
996C2×C4⋊C4—42no—
997C2×C4⋊C4—82no—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C22⋊C4—44no—
1066C2×C22⋊C4—44no—
1067C2×C22⋊C4—44no—
1068C2×C22⋊C4—82no—
1069C2×C22⋊C4—82no—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C42—24no—
1138C2×C42—24no—
1139C2×C42—24no—
1140C2×C42—44no—
1141C2×C42C2411yescharacteristic
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2412yes—
1159C2×C42C2414yes—
1160C2×C42C2414yes—
1161C2×C42C2412yes—
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#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#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224C24—24no—
1225C24—24no—
1226C24—24no—
1227C24—42no—
1228C24—42no—
1229C24—42no—
1230C24—42no—
1231C24C2514yes—
1232C24C2512yes—
1233C24C2512yes—
1234C24C2512yes—
1235C24C2511yescharacteristic
1236#41—416no—
1237#41—416no—
1238#41—416no—
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—22no—
1242C2×Q8—22no—
1243C2×Q8—22no—
1244C2×Q8—22no—
1245C2×Q8—22no—
1246C2×Q8—22no—
1247C2×Q8—22no—
1248C2×Q8—22no—
1249C2×Q8—22no—
1250C2×Q8—22no—
1251C2×Q8—22no—
1252C2×Q8—22no—
1253C2×Q8—41no—
1254C2×Q8—41no—
1255C2×Q8—41no—
1256C2×Q8—41no—
1257C2×Q8—41no—
1258C2×Q8—41no—
1259C2×Q8—44no—
1260C2×Q8—44no—
1261C2×Q8—44no—
1262C2×Q8—416no—
1263C2×Q8H(5,𝔽2)14yes—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—24no—
1277C2×D4—22no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—22no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—416no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—28no—
1343C22×C4—28no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—41no—
1347C22×C4—41no—
1348C22×C4—42no—
1349C22×C4—42no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—42no—
1355C22×C4—42no—
1356C22×C4—42no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—42no—
1360C22×C4—44no—
1361C22×C4—42no—
1362C22×C4—44no—
1363C22×C4—42no—
1364C22×C4—41no—
1365C22×C4—41no—
1366C22×C4—42no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—816no—
1374C22×C4H(5,𝔽2)14yes—
1375C22×C4H(5,𝔽2)14yes—
1376C22×C42−1+414yes—
1377C22×C4C2511yescharacteristic
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2512yes—
1381C22×C4C2512yes—
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2512yes—
1385C22×C4C2511yescharacteristic
1386C22×C4C2512yes—
1387C22×C4C2514yes—
1388C22×C4C2511yescharacteristic
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2514yes—
1400C22×C4C2514yes—
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C22×C4C2511yescharacteristic
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—28no—
1416C4⋊C4—28no—
1417C4⋊C4—28no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—24no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—41no—
1433C4⋊C4—41no—
1434C4⋊C4—41no—
1435C4⋊C4—41no—
1436C4⋊C4—41no—
1437C4⋊C4—41no—
1438C4⋊C4—41no—
1439C4⋊C4—41no—
1440C4⋊C4—41no—
1441C4⋊C4—41no—
1442C4⋊C4—41no—
1443C4⋊C4—41no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—44no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—44no—
1461C4⋊C4—42no—
1462C4⋊C4—44no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4—42no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—42no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—28no—
1480C22⋊C4—28no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—42no—
1499C22⋊C4—44no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—42no—
1526C22⋊C4—44no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C42—22no—
1542C42—22no—
1543C42—22no—
1544C42—22no—
1545C42—22no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—22no—
1553C42—24no—
1554C42—24no—
1555C42—24no—
1556C42—24no—
1557C42—24no—
1558C42—24no—
1559C42—42no—
1560C42—42no—
1561C42—42no—
1562C42—44no—
1563C42—44no—
1564C42—42no—
1565C42—42no—
1566C23—21no—
1567C23—21no—
1568C23—21no—
1569C23—21no—
1570C23—24no—
1571C23—22no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—24no—
1578C23—24no—
1579C23—22no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—24no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—24no—
1590C23—24no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—24no—
1598C23—48no—
1599C23—48no—
1600C23—48no—
1601C23—84no—
1602C23—84no—
1603C23—84no—
1604C23—84no—
1605C23C2×H(5,𝔽2)12yes—
1606C23C2×H(5,𝔽2)12yes—
1607C23C2×2−1+412yes—
1608C23C2611yescharacteristic
1609Q8—44no—
1610Q8—44no—
1611Q8—44no—
1612Q8—44no—
1613Q8—44no—
1614Q8—44no—
1615Q8—44no—
1616Q8—164no—
1617D4—48no—
1618D4—48no—
1619D4—48no—
1620D4—48no—
1621D4—48no—
1622D4—44no—
1623D4—44no—
1624D4—44no—
1625D4—84no—
1626D4—84no—
1627D4—164no—
1628D4—164no—
1629D4—164no—
1630D4—164no—
1631D4—164no—
1632D4—164no—
1633D4—164no—
1634D4—164no—
1635C2×C4—28no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—24no—
1666C2×C4—24no—
1667C2×C4—22no—
1668C2×C4—24no—
1669C2×C4—24no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—24no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—24no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—24no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—24no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—24no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—44no—
1717C2×C4—44no—
1718C2×C4—44no—
1719C2×C4—48no—
1720C2×C4—48no—
1721C2×C4—48no—
1722C2×C4—84no—
1723C2×C4—88no—
1724C2×C4—88no—
1725C2×C4—82no—
1726C2×C4—82no—
1727C2×C4—84no—
1728C2×C4—84no—
1729C2×C4—84no—
1730C2×C4—84no—
1731C2×C4—164no—
1732C2×C4—164no—
1733C2×C4#562116yescomplemented
1734C2×C4C2×H(5,𝔽2)12yes—
1735C2×C4C2×H(5,𝔽2)12yes—
1736C2×C4C2×H(5,𝔽2)12yes—
1737C2×C4C2×H(5,𝔽2)12yes—
1738C2×C4C2×H(5,𝔽2)12yes—
1739C2×C4C2×H(5,𝔽2)12yes—
1740C2×C4C2×H(5,𝔽2)12yes—
1741C2×C4C2×2−1+412yes—
1742C2×C4C2×2−1+412yes—
1743C2×C4#58512yes—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—22no—
1750C22—44no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—44no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—44no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—44no—
1766C22—42no—
1767C22—42no—
1768C22—42no—
1769C22—44no—
1770C22—42no—
1771C22—42no—
1772C22—44no—
1773C22—42no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—44no—
1778C22—816no—
1779C22C2×#56214yes—
1780C22C22×H(5,𝔽2)11yescharacteristic
1781C22C22×H(5,𝔽2)11yescharacteristic
1782C22C22×H(5,𝔽2)11yescharacteristic
1783C22C22×2−1+411yescharacteristic
1784C22C2×#58511yescharacteristic
1785C22H(7,𝔽2)11yescharacteristic
1786C222−1+611yescharacteristic
1787C4—22no—
1788C4—22no—
1789C4—22no—
1790C4—22no—
1791C4—41no—
1792C4—41no—
1793C4—44no—
1794C4—42no—
1795C4—41no—
1796C4—41no—
1797C4—41no—
1798C4—41no—
1799C4—41no—
1800C4—41no—
1801C4—42no—
1802C4—42no—
1803C4—44no—
1804C4—44no—
1805C4—42no—
1806C4—42no—
1807C4—42no—
1808C4—42no—
1809C4—42no—
1810C4—42no—
1811C4—42no—
1812C4—42no—
1813C4—42no—
1814C4—42no—
1815C4C2×#56214yes—
1816C4C2×#56214yes—
1817C2—24no—
1818C2—82no—
1819C2—82no—
1820C2—82no—
1821C2—84no—
1822C2C22×#56211yescharacteristic
1823C2#6281811yescharacteristic
1824C2#6287511yescharacteristic
1825C2#6291311yescharacteristic
1826C2#6291611yescharacteristic
1827C2#6292611yescharacteristic
1828C2#6293111yescharacteristic
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. #53120C2semidirect
2. #53115C2semidirect
3. #53108C2semidirect
4. #53105C2semidirect
5. #53076C2semidirect
6. #53021C2semidirect
7. #52992C2semidirect
8. #52973C2semidirect
9. #52370C2semidirect
10. #52343C2semidirect
11. #46112C2semidirect
12. #46083C2semidirect
13. #46042C2semidirect
14. #45995C2semidirect
15. #45703C2semidirect
16. #45653C2semidirect
17. #45639C2semidirect
18. #45484C2semidirect
19. #45462C2semidirect
20. #45445C2semidirect
21. #35575C2semidirect
22. #35564C2semidirect
23. #35533C2semidirect
24. #35532C2semidirect
25. #35531C2semidirect
26. #35530C2semidirect
27. #35265C2semidirect
28. #35264C2semidirect
29. #35256C2semidirect
30. #35255C2semidirect
31. #35168C2semidirect
32. #35152C2semidirect
33. #34955C2semidirect
34. #34952C2semidirect
35. C2×#2538C2semidirect
36. C2×#562C22semidirect
50. #2864C22semidirect
52. #2859C22semidirect
55. #2855C22semidirect
56. #2854C22semidirect
60. #2841C22semidirect
61. #2837C22semidirect
62. #2837C22semidirect
63. #2836C22semidirect
64. #2831C22semidirect
65. #2830C22semidirect
66. #2829C22semidirect
67. #2829C22semidirect
68. #2829C22semidirect
69. #2829C22semidirect
70. #2827C22semidirect
71. #2826C22semidirect
72. #2826C22semidirect
73. #2820C22semidirect
74. #2816C22semidirect
75. #2814C22semidirect
76. #2814C22semidirect
77. #2813C22semidirect
78. #2813C22semidirect
79. #2813C22semidirect
80. #2800C22semidirect
81. #2800C22semidirect
82. #2786C22semidirect
83. #2783C22semidirect
84. #2781C22semidirect
85. #2781C22semidirect
86. #2779C22semidirect
87. #2779C22semidirect
88. #2772C22semidirect
89. #2761C22semidirect
90. #2747C22semidirect
91. #2743C22semidirect
92. #2741C22semidirect
93. #2740C22semidirect
94. #2732C22semidirect
95. #2730C22semidirect
96. #2730C22semidirect
97. #2711C22semidirect
98. #2708C22semidirect
99. #2706C22semidirect
100. #2706C22semidirect
101. #2704C22semidirect
102. #2701C22semidirect
103. #2700C22semidirect
104. #2696C22semidirect
105. #2696C22semidirect
106. #2692C22semidirect
107. #2692C22semidirect
108. #2687C22semidirect
109. #2686C22semidirect
110. #2682C22semidirect
111. #2681C22semidirect
112. #2681C22semidirect
113. #2681C22semidirect
114. #2676C22semidirect
115. #2676C22semidirect
116. #2672C22semidirect
117. #2672C22semidirect
118. #2672C22semidirect
119. #2671C22semidirect
120. #2647C22semidirect
121. #2647C22semidirect
124. #2625C22semidirect
125. #2624C22semidirect
130. #2592C22semidirect
131. #2592C22semidirect
132. #2592C22semidirect
133. #2592C22semidirect
136. #2582C22semidirect
137. #2582C22semidirect
138. #2581C22semidirect
139. #2581C22semidirect
140. #2580C22semidirect
141. #2580C22semidirect
144. #2568C22semidirect
145. #2568C22semidirect
146. #2567C22semidirect
147. #2566C22semidirect
148. #2565C22semidirect
151. #2548C22semidirect
152. #2548C22semidirect
156. #2542C22semidirect
166. #2538C22semidirect
167. #2538C22semidirect
168. #2509C22semidirect
169. #2508C22semidirect
170. #2507C22semidirect
171. #2506C22semidirect
175. #2502C22semidirect
177. #2501C22semidirect
180. #2500C22semidirect
181. #2499C22semidirect
190. #2454C22semidirect
191. #2453C22semidirect
192. #2452C22semidirect
193. #2451C22semidirect
208. #2442C22semidirect
209. #2441C22semidirect
210. #2441C22semidirect
211. #2441C22semidirect
212. #2440C22semidirect
213. #2440C22semidirect
214. #2440C22semidirect
215. #2439C22semidirect
217. #2429C22semidirect
224. #2428C22semidirect
229. #2427C22semidirect
232. #2426C22semidirect
237. #2423C22semidirect
238. #2423C22semidirect
239. #2423C22semidirect
242. #2422C22semidirect
243. #2422C22semidirect
244. #2422C22semidirect
245. #2421C22semidirect
248. #2420C22semidirect
252. #2417C22semidirect
256. #2416C22semidirect
257. #2415C22semidirect
260. #2414C22semidirect
262. #2398C22semidirect
263. #2398C22semidirect
264. #2396C22semidirect
265. #2396C22semidirect
268. #2378C22semidirect
269. #2377C22semidirect
270. #2376C22semidirect
279. C4×#124C22semidirect
280. C4×#124C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
1733. C2×C4#562semidirect

Maximal subgroups

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

subgroupindex
#531202
#531152
#531082
#531052
#530762
#530212
#529922
#529732
#523702
#523432
#461122
#460832
#460422
#459952
#457032
#456532
#456392
#454842
#454622
#454452
#355752
#355642
#355332
#355322
#355312
#355302
#352652
#352642
#352562
#352552
#351682
#351522
#349552
#349522
C2×#25382