Finite Group Databasebeta

← #8093510

Subgroups — #8093510

Order 512.

4950 conjugacy classes of subgroups.

The subgroup lattice has 1838 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53141C212yesmaximal, complemented
2#53135C212yesmaximal, complemented
3#53134C212yesmaximal, complemented
4#53110C212yesmaximal, complemented
5#53108C212yesmaximal, complemented
6#53106C212yesmaximal, complemented
7#53101C212yesmaximal, complemented
8#53094C212yesmaximal, complemented
9#53062C212yesmaximal, complemented
10#53061C212yesmaximal, complemented
11#53027C212yesmaximal, complemented
12#52979C212yesmaximal, complemented
13#52973C212yesmaximal, complemented
14#52972C212yesmaximal, complemented
15#52964C212yesmaximal, complemented
16#52963C212yesmaximal, complemented
17#52585C214yesmaximal, complemented
18#52547C214yesmaximal, complemented
19#52312C214yesmaximal, complemented
20#52311C214yesmaximal, complemented
21#35585C211yesmaximal, characteristic, complemented
22#35575C211yesmaximal, characteristic, complemented
23#35563C211yesmaximal, characteristic, complemented
24#35556C211yesmaximal, characteristic, complemented
25#35542C211yesmaximal, characteristic, complemented
26#35541C211yesmaximal, characteristic, complemented
27#35533C211yesmaximal, characteristic, complemented
28#35529C211yesmaximal, characteristic, complemented
29#35519C211yesmaximal, characteristic, complemented
30#35517C211yesmaximal, characteristic, complemented
31#35516C211yesmaximal, characteristic, complemented
32#35514C211yesmaximal, characteristic, complemented
33#34634C211yesmaximal, characteristic, complemented
34#34633C211yesmaximal, characteristic, complemented
35C2×#2624C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#535C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C2×#525C2211yescharacteristic
42C2×#525C2211yescharacteristic
43C22×#121C2211yescharacteristic
44C2×#520C2211yescharacteristic
45C2×#520C2211yescharacteristic
46C2×#518C2211yescharacteristic
47C22×#117C2211yescharacteristic
48#2841C2214yescomplemented
49#2837C2214yescomplemented
50#2837C2214yescomplemented
51#2837C2214yescomplemented
52#2836C2214yescomplemented
53#2832C2214yescomplemented
54#2831C2214yescomplemented
55#2831C2214yescomplemented
56#2830C2214yescomplemented
57#2830C2214yescomplemented
58#2829C2214yescomplemented
59#2829C2214yescomplemented
60#2829C2214yescomplemented
61#2829C2214yescomplemented
62#2829C2214yescomplemented
63#2827C2214yescomplemented
64#2827C2214yescomplemented
65#2827C2214yescomplemented
66#2827C2214yescomplemented
67#2826C2214yescomplemented
68#2826C2214yescomplemented
69#2824C2214yescomplemented
70#2824C2214yescomplemented
71#2820C2214yescomplemented
72#2819C2214yescomplemented
73#2816C2214yescomplemented
74#2816C2214yescomplemented
75#2816C2214yescomplemented
76#2814C2214yescomplemented
77#2813C2214yescomplemented
78#2813C2214yescomplemented
79#2813C2214yescomplemented
80#2800C2214yescomplemented
81#2781C2214yescomplemented
82#2768C2214yescomplemented
83#2761C2214yescomplemented
84#2754C2214yescomplemented
85#2751C2214yescomplemented
86#2750C2214yescomplemented
87#2747C2214yescomplemented
88#2744C2214yescomplemented
89#2743C2214yescomplemented
90#2740C2214yescomplemented
91#2740C2214yescomplemented
92#2732C2214yescomplemented
93#2730C2214yescomplemented
94#2711C2214yescomplemented
95#2711C2214yescomplemented
96#2710C2214yescomplemented
97#2708C2214yescomplemented
98#2706C2214yescomplemented
99#2701C2214yescomplemented
100#2700C2214yescomplemented
101#2694C2214yescomplemented
102#2692C2214yescomplemented
103#2686C2214yescomplemented
104#2686C2214yescomplemented
105#2682C2214yescomplemented
106#2681C2214yescomplemented
107#2676C2214yescomplemented
108#2676C2214yescomplemented
109#2672C2214yescomplemented
110#2672C2214yescomplemented
111#2671C2214yescomplemented
112#2629C2211yescharacteristic, complemented
113#2629C2211yescharacteristic, complemented
114#2629C2211yescharacteristic, complemented
115#2629C2211yescharacteristic, complemented
116#2628C2211yescharacteristic, complemented
117#2628C2211yescharacteristic, complemented
118#2628C2211yescharacteristic, complemented
119#2628C2211yescharacteristic, complemented
120#2627C2212yes—
121#2627C2212yes—
122#2626C2212yes—
123#2626C2212yes—
124#2624C2212yes—
125#2624C2212yes—
126#2624C2212yes—
127#2624C2212yes—
128#2624C2212yes—
129#2624C2212yes—
130#2624C2212yes—
131#2624C2212yes—
132#2621C2211yescharacteristic, complemented
133#2621C2211yescharacteristic, complemented
134#2620C2211yescharacteristic, complemented
135#2620C2211yescharacteristic, complemented
136#2620C2211yescharacteristic, complemented
137#2620C2211yescharacteristic, complemented
138#2619C2211yescharacteristic, complemented
139#2619C2211yescharacteristic, complemented
140#2618C2212yes—
141#2618C2212yes—
142#2617C2212yes—
143#2617C2212yes—
144#2592C2212yescomplemented
145#2592C2212yescomplemented
146#2582C2212yescomplemented
147#2581C2212yescomplemented
148#2580C2212yescomplemented
149#2569C2214yes—
150#2566C2212yescomplemented
151#2566C2212yescomplemented
152#2564C2214yes—
153#2563C2212yescomplemented
154#2563C2212yescomplemented
155#2562C2212yescomplemented
156#2562C2212yescomplemented
157#2548C2212yescomplemented
158#2548C2212yescomplemented
159#2548C2212yescomplemented
160#2547C2212yescomplemented
161#2545C2212yescomplemented
162#2544C2212yescomplemented
163#2542C2212yescomplemented
164#2541C2212yescomplemented
165#2538C2212yescomplemented
166#2537C2212yes—
167#2537C2212yes—
168#2535C2212yes—
169#2535C2212yes—
170#2534C2214yes—
171#2509C2212yescomplemented
172#2509C2212yescomplemented
173#2508C2212yescomplemented
174#2508C2212yescomplemented
175#2507C2212yescomplemented
176#2507C2212yescomplemented
177#2506C2212yescomplemented
178#2506C2212yescomplemented
179#2492C2212yescomplemented
180#2491C2212yescomplemented
181#2491C2212yescomplemented
182#2491C2212yescomplemented
183#2490C2212yescomplemented
184#2490C2212yescomplemented
185#2490C2212yescomplemented
186#2489C2212yescomplemented
187#2488C2214yes—
188#2487C2212yescomplemented
189#2487C2212yescomplemented
190#2486C2212yescomplemented
191#2486C2212yescomplemented
192#2485C2212yescomplemented
193#2485C2212yescomplemented
194#2485C2212yescomplemented
195#2485C2212yescomplemented
196#2472C2214yes—
197#2472C2214yes—
198#2472C2214yes—
199#2454C2212yescomplemented
200#2454C2212yescomplemented
201#2454C2212yescomplemented
202#2453C2212yescomplemented
203#2452C2212yescomplemented
204#2452C2212yescomplemented
205#2452C2212yescomplemented
206#2451C2212yescomplemented
207#2450C2214yes—
208#2449C2214yes—
209#2448C2212yescomplemented
210#2447C2212yescomplemented
211#2447C2212yescomplemented
212#2447C2212yescomplemented
213#2446C2212yescomplemented
214#2445C2212yescomplemented
215#2445C2212yescomplemented
216#2445C2212yescomplemented
217#2444C2214yes—
218#2443C2214yes—
219#2442C2214yes—
220#2442C2212yescomplemented
221#2442C2212yescomplemented
222#2441C2212yescomplemented
223#2441C2212yescomplemented
224#2440C2212yescomplemented
225#2440C2212yescomplemented
226#2439C2212yescomplemented
227#2439C2212yescomplemented
228#2437C2214yes—
229#2437C2214yes—
230#2428C2212yes—
231#2428C2212yes—
232#2428C2212yes—
233#2428C2212yes—
234#2427C2212yes—
235#2427C2212yes—
236#2426C2212yes—
237#2426C2212yes—
238#2424C2214yes—
239#2424C2214yes—
240#2423C2212yescomplemented
241#2422C2212yescomplemented
242#2422C2212yescomplemented
243#2422C2212yescomplemented
244#2421C2212yescomplemented
245#2420C2212yescomplemented
246#2420C2212yescomplemented
247#2420C2212yescomplemented
248#2419C2214yes—
249#2418C2214yes—
250#2417C2214yes—
251#2416C2212yes—
252#2416C2212yes—
253#2416C2212yescomplemented
254#2416C2212yescomplemented
255#2414C2212yes—
256#2414C2212yes—
257#2414C2212yescomplemented
258#2414C2212yescomplemented
259#2412C2214yes—
260#2412C2214yes—
261#2412C2214yes—
262#2410C2214yes—
263#2408C2214yes—
264#2396C2212yescomplemented
265#2396C2212yescomplemented
266#2396C2212yescomplemented
267#2396C2212yescomplemented
268C2×#399C2212yes—
269#2392C2212yescomplemented
270#2392C2212yescomplemented
271#2392C2212yescomplemented
272#2392C2212yescomplemented
273C2×#397C2212yes—
274C2×#394C2212yes—
275C2×#394C2212yes—
276#2317C2211yescharacteristic
277#2317C2211yescharacteristic
278#2316C2211yescharacteristic
279#2316C2211yescharacteristic
280#2311C2211yescharacteristic
281#2311C2211yescharacteristic
282#2311C2211yescharacteristic
283#2311C2211yescharacteristic
284#2309C2211yescharacteristic
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2296C2211yescharacteristic
288#2296C2211yescharacteristic
289C2×#390C2211yescharacteristic
290C2×#390C2211yescharacteristic
291C2×#389C2211yescharacteristic
292C2×#389C2211yescharacteristic
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2280C2211yescharacteristic
296#2280C2211yescharacteristic
297C2×#380C2211yescharacteristic
298#2274C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C23×D4C2312yes—
303C24×C4C2311yescharacteristic
304#544—44no—
305#535—44no—
306#535—44no—
307#533—44no—
308#532—44no—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×#127C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2312yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2311yescharacteristic
321C2×#125C2314yes—
322C2×#124C2312yes—
323C2×#124C2311yescharacteristic
324C2×#124C2311yescharacteristic
325C2×#124C2312yes—
326C2×#124C2314yes—
327C2×#124C2314yes—
328C2×#124C2314yes—
329#525—44no—
330#525—44no—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2314yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2311yescharacteristic
339C2×C22⋊Q8C2311yescharacteristic
340C2×C22⋊Q8C2311yescharacteristic
341C2×C22⋊Q8C2311yescharacteristic
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348C2×#121—44no—
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2311yescharacteristic
352C2×#121C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2311yescharacteristic
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#120C2312yes—
370C2×#120C2312yes—
371C2×#120C2314yes—
372C2×#120C2314yes—
373#520—44no—
374#520—44no—
375#518—44no—
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2312yes—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2314yes—
393C2×C4×D4C2312yes—
394C2×#117—44no—
395C2×#117C2311yescharacteristic
396C2×#117C2311yescharacteristic
397C2×#117C2311yescharacteristic
398C2×#117C2311yescharacteristic
399C2×#117C2311yescharacteristic
400C2×#117C2311yescharacteristic
401C2×#117C2311yescharacteristic
402C2×#117C2311yescharacteristic
403C2×#117C2311yescharacteristic
404C2×#117C2311yescharacteristic
405C2×#117C2311yescharacteristic
406C2×#117C2311yescharacteristic
407C2×#117C2311yescharacteristic
408C2×#117C2311yescharacteristic
409C2×#117C2312yes—
410C2×#117C2312yes—
411C22×C4⋊C4C2311yescharacteristic
412C22×C4⋊C4C2311yescharacteristic
413C22×C4⋊C4C2311yescharacteristic
414C22×C4⋊C4C2311yescharacteristic
415C22×C4⋊C4C2311yescharacteristic
416C22×C4⋊C4C2312yes—
417C22×C4⋊C4C2312yes—
418C22×C4⋊C4C2312yes—
419C22×C4⋊C4C2312yes—
420C22×C22⋊C4C2311yescharacteristic
421C22×C22⋊C4C2311yescharacteristic
422C22×C22⋊C4C2312yes—
423C22×C22⋊C4C2314yes—
424C22×C22⋊C4C2312yes—
425C22×C22⋊C4C2312yes—
426C22×C22⋊C4C2312yes—
427C22×C22⋊C4C2312yes—
428C22×C22⋊C4C2312yes—
429C22×C42C2311yescharacteristic
430C22×C42C2311yescharacteristic
431#400C2314yes—
432#400C2314yes—
433#400C2314yes—
434#400C2312yes—
435#400C2314yes—
436#400C2314yes—
437#400C2314yes—
438#400C2312yes—
439#400C2314yes—
440#400C2314yes—
441#400C2312yes—
442#400C2314yes—
443#400C2314yes—
444#400C2312yes—
445#399C2312yes—
446#399C2314yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#399C2312yes—
456#399C2314yes—
457#399C2312yes—
458#399C2312yes—
459#398C2312yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2312yes—
468#398C2312yes—
469#398C2314yes—
470#398C2312yes—
471#398C2312yes—
472#398C2312yes—
473#398C2312yes—
474#398C2314yes—
475#398C2312yes—
476#398C2312yes—
477#398C2314yes—
478#398C2312yes—
479#398C2312yes—
480#398C2312yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2312yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2312yes—
502#397C2314yes—
503#397C2312yes—
504#397C2312yes—
505#396C2312yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2312yes—
513#396C2314yes—
514#396C2312yes—
515#396C2312yes—
516#396C2312yes—
517#396C2312yes—
518#396C2314yes—
519#396C2314yes—
520#396C2312yes—
521#396C2312yes—
522#396C2312yes—
523#396C2314yes—
524#396C2314yes—
525#396C2312yes—
526#396C2312yes—
527#396C2314yes—
528#396C2312yes—
529#396C2312yes—
530#396C2312yes—
531#396C2312yes—
532#396C2312yes—
533#395C2314yes—
534#395C2312yes—
535#395C2314yes—
536#395C2312yes—
537#395C2312yes—
538#395C2312yes—
539#394C2312yes—
540#394C2312yes—
541#394C2312yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2312yes—
562#394C2312yes—
563#394C2314yes—
564#394C2312yes—
565#394C2312yes—
566#394C2314yes—
567#394C2314yes—
568#394C2314yes—
569#394C2314yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2314yes—
574#394C2312yes—
575#394C2312yes—
576#394C2312yes—
577#394C2312yes—
578#394C2312yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2314yes—
585#393C2312yes—
586#393C2314yes—
587#393C2314yes—
588#393C2314yes—
589#393C2314yes—
590#393C2314yes—
591#393C2314yes—
592#393C2312yes—
593#393C2314yes—
594#393C2312yes—
595#393C2314yes—
596#393C2312yes—
597#392C2312yes—
598#392C2314yes—
599#392C2314yes—
600#392C2314yes—
601#392C2314yes—
602#392C2314yes—
603#392C2314yes—
604#392C2312yes—
605#392C2312yes—
606#392C2312yes—
607#391C2312yes—
608#391C2312yes—
609#391C2312yes—
610#391C2312yes—
611#391C2314yes—
612#391C2314yes—
613#391C2314yes—
614#391C2311yescharacteristic
615#391C2311yescharacteristic
616#391C2311yescharacteristic
617#391C2311yescharacteristic
618#390C2312yes—
619#390C2312yes—
620#390C2314yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2314yes—
630#390C2314yes—
631#390C2314yes—
632#390C2314yes—
633#390C2314yes—
634#390C2314yes—
635#390C2311yescharacteristic
636#390C2312yes—
637#390C2312yes—
638#390C2311yescharacteristic
639#390C2311yescharacteristic
640#390C2311yescharacteristic
641#390C2312yes—
642#390C2312yes—
643#390C2312yes—
644#390C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2312yes—
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2314yes—
659#389C2312yes—
660#389C2314yes—
661#389C2314yes—
662#389C2314yes—
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#389C2312yes—
668#389C2312yes—
669#389C2311yescharacteristic
670#389C2311yescharacteristic
671#389C2311yescharacteristic
672#389C2311yescharacteristic
673#389C2311yescharacteristic
674#389C2311yescharacteristic
675#389C2311yescharacteristic
676#389C2311yescharacteristic
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#386C2312yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2312yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2312yes—
741#385C2312yes—
742#385C2312yes—
743#384C2311yescharacteristic
744#384C2312yes—
745#384C2312yes—
746#384C2311yescharacteristic
747#384C2311yescharacteristic
748#384C2311yescharacteristic
749#382C2311yescharacteristic
750#382C2314yes—
751#382C2312yes—
752#382C2314yes—
753#382C2311yescharacteristic
754#382C2312yes—
755#382C2311yescharacteristic
756#382C2311yescharacteristic
757#381C2314yes—
758#381C2314yes—
759#381C2314yes—
760#381C2314yes—
761#381C2312yes—
762#381C2312yes—
763#380C2312yes—
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2311yescharacteristic
771#380C2312yes—
772#380C2314yes—
773#380C2314yes—
774#380C2312yes—
775#380C2314yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2314yes—
782#380C2314yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2311yescharacteristic
788#380C2311yescharacteristic
789#380C2311yescharacteristic
790#380C2311yescharacteristic
791#380C2311yescharacteristic
792#380C2314yes—
793#380C2314yes—
794#380C2314yes—
795#379C2314yes—
796#379C2312yes—
797#379C2312yes—
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×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C25C2412yes—
823C25C2411yescharacteristic
824C2×#41—24no—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×Q8C2414yes—
835C22×D4—24no—
836C22×D4—24no—
837C22×D4—24no—
838C22×D4—44no—
839C22×D4—82no—
840C22×D4—82no—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2414yes—
855C22×D4C2414yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C23×C4—24no—
860C23×C4—24no—
861C23×C4—24no—
862C23×C4C2411yescharacteristic
863C23×C4C2412yes—
864C23×C4C2412yes—
865C23×C4C2411yescharacteristic
866C23×C4C2411yescharacteristic
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2411yescharacteristic
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C23×C4C2414yes—
877C23×C4C2414yes—
878C23×C4C2414yes—
879C23×C4C2414yes—
880C23×C4C2411yescharacteristic
881C4⋊Q8—42no—
882C4⋊Q8—42no—
883C4⋊Q8—44no—
884C4⋊Q8—44no—
885C4⋊Q8—42no—
886#127—42no—
887#127—44no—
888#127—44no—
889#125—42no—
890#125—42no—
891#125—44no—
892#125—44no—
893#125—84no—
894#124—42no—
895#124—42no—
896#124—44no—
897#124—44no—
898#124—84no—
899#124—84no—
900#124—84no—
901#123—44no—
902#123—44no—
903#123—84no—
904#123—84no—
905#123—84no—
906#123—84no—
907C22⋊Q8—44no—
908C22⋊Q8—44no—
909C22⋊Q8—48no—
910C22⋊Q8—42no—
911C22⋊Q8—42no—
912C22⋊Q8—42no—
913C22⋊Q8—42no—
914C22⋊Q8—84no—
915C22⋊Q8—84no—
916C22⋊Q8—84no—
917C22⋊Q8—84no—
918#121—44no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—42no—
923#121—42no—
924#121—42no—
925#121—42no—
926#121—44no—
927#121—44no—
928#121—44no—
929#121—44no—
930#121—44no—
931#121—44no—
932#121—84no—
933#121—84no—
934#121—84no—
935#121—84no—
936#121—84no—
937#121—84no—
938#120—44no—
939#120—44no—
940#120—48no—
941#120—48no—
942C4×Q8—44no—
943C4×Q8—44no—
944C4×Q8—44no—
945C4×Q8—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—44no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953C4×D4—44no—
954C4×D4—44no—
955C4×D4—44no—
956C4×D4—44no—
957C4×D4—44no—
958C4×D4—48no—
959C4×D4—48no—
960#117—24no—
961#117—24no—
962#117—24no—
963#117—24no—
964#117—24no—
965#117—24no—
966#117—42no—
967#117—42no—
968#117—42no—
969#117—42no—
970#117—42no—
971#117—42no—
972#117—42no—
973#117—42no—
974#117—44no—
975#117—44no—
976C2×C4⋊C4—24no—
977C2×C4⋊C4—24no—
978C2×C4⋊C4—24no—
979C2×C4⋊C4—44no—
980C2×C4⋊C4—44no—
981C2×C4⋊C4—42no—
982C2×C4⋊C4—42no—
983C2×C4⋊C4—82no—
984C2×C4⋊C4—82no—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C22⋊C4—48no—
1057C2×C22⋊C4—42no—
1058C2×C22⋊C4—42no—
1059C2×C22⋊C4—44no—
1060C2×C22⋊C4—82no—
1061C2×C22⋊C4—82no—
1062C2×C22⋊C4—82no—
1063C2×C22⋊C4—82no—
1064C2×C22⋊C4—82no—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2411yescharacteristic
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C42—24no—
1140C2×C42—24no—
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155C2×C42C2414yes—
1156C2×C42C2414yes—
1157C2×C42C2414yes—
1158C2×C42C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215C24—22no—
1216C24—24no—
1217C24—24no—
1218C24—22no—
1219C24—22no—
1220C24—24no—
1221C24—41no—
1222C24—41no—
1223C24—41no—
1224C24—41no—
1225C24—42no—
1226C24—42no—
1227C24—42no—
1228C24—42no—
1229C24C2511yescharacteristic
1230C24C2511yescharacteristic
1231C24C2514yes—
1232C24C2512yes—
1233C24C2512yes—
1234C24C2511yescharacteristic
1235#41—416no—
1236#41—416no—
1237C2×Q8—22no—
1238C2×Q8—22no—
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—22no—
1242C2×Q8—22no—
1243C2×Q8—42no—
1244C2×Q8—42no—
1245C2×Q8—42no—
1246C2×Q8—42no—
1247C2×Q8—42no—
1248C2×Q8—42no—
1249C2×Q8—44no—
1250C2×Q8—44no—
1251C2×Q8—44no—
1252C2×D4—24no—
1253C2×D4—24no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—22no—
1260C2×D4—24no—
1261C2×D4—22no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—44no—
1285C2×D4—44no—
1286C2×D4—44no—
1287C2×D4—44no—
1288C2×D4—42no—
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—416no—
1307C2×D4—816no—
1308C22×C4—22no—
1309C22×C4—22no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—24no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—24no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—42no—
1337C22×C4—41no—
1338C22×C4—41no—
1339C22×C4—42no—
1340C22×C4—41no—
1341C22×C4—41no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—41no—
1349C22×C4—41no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—44no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—416no—
1363C22×C4H(5,𝔽2)14yes—
1364C22×C4H(5,𝔽2)14yes—
1365C22×C42−1+414yes—
1366C22×C4C2512yes—
1367C22×C4C2514yes—
1368C22×C4C2511yescharacteristic
1369C22×C4C2512yes—
1370C22×C4C2512yes—
1371C22×C4C2511yescharacteristic
1372C22×C4C2512yes—
1373C22×C4C2511yescharacteristic
1374C22×C4C2511yescharacteristic
1375C22×C4C2512yes—
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2512yes—
1379C22×C4C2514yes—
1380C22×C4C2512yes—
1381C22×C4C2512yes—
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2511yescharacteristic
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C22×C4C2512yes—
1389C22×C4C2514yes—
1390C22×C4C2512yes—
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—22no—
1400C4⋊C4—22no—
1401C4⋊C4—22no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—22no—
1407C4⋊C4—22no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—41no—
1414C4⋊C4—41no—
1415C4⋊C4—41no—
1416C4⋊C4—41no—
1417C4⋊C4—41no—
1418C4⋊C4—41no—
1419C4⋊C4—41no—
1420C4⋊C4—41no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—42no—
1430C4⋊C4—42no—
1431C4⋊C4—42no—
1432C4⋊C4—42no—
1433C4⋊C4—42no—
1434C4⋊C4—42no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—44no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—44no—
1457C4⋊C4—42no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—44no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—41no—
1473C22⋊C4—41no—
1474C22⋊C4—41no—
1475C22⋊C4—41no—
1476C22⋊C4—41no—
1477C22⋊C4—41no—
1478C22⋊C4—41no—
1479C22⋊C4—41no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
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—42no—
1518C22⋊C4—42no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C42—22no—
1541C42—22no—
1542C42—22no—
1543C42—22no—
1544C42—22no—
1545C42—22no—
1546C42—22no—
1547C42—22no—
1548C42—24no—
1549C42—24no—
1550C42—24no—
1551C42—24no—
1552C42—24no—
1553C42—24no—
1554C42—44no—
1555C42—44no—
1556C42—44no—
1557C42—44no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—21no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—22no—
1567C23—22no—
1568C23—24no—
1569C23—24no—
1570C23—22no—
1571C23—22no—
1572C23—21no—
1573C23—21no—
1574C23—22no—
1575C23—22no—
1576C23—24no—
1577C23—21no—
1578C23—21no—
1579C23—24no—
1580C23—22no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—24no—
1587C23—24no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—24no—
1595C23—22no—
1596C23—22no—
1597C23—44no—
1598C23—44no—
1599C23—44no—
1600C23—48no—
1601C23—82no—
1602C23—82no—
1603C23—82no—
1604C23—82no—
1605C23—84no—
1606C23—84no—
1607C23—84no—
1608C23—84no—
1609C23—84no—
1610C23—84no—
1611C23C2×H(5,𝔽2)12yes—
1612C23C2×H(5,𝔽2)12yes—
1613C23C2×2−1+412yes—
1614C23C2611yescharacteristic
1615Q8—44no—
1616Q8—44no—
1617Q8—84no—
1618Q8—84no—
1619Q8—164no—
1620D4—48no—
1621D4—48no—
1622D4—48no—
1623D4—48no—
1624D4—44no—
1625D4—44no—
1626D4—84no—
1627D4—84no—
1628D4—84no—
1629D4—84no—
1630D4—84no—
1631D4—84no—
1632D4—88no—
1633D4—88no—
1634D4—164no—
1635D4—164no—
1636D4—164no—
1637D4—164no—
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—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
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—24no—
1661C2×C4—24no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—24no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—24no—
1678C2×C4—24no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—24no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—24no—
1704C2×C4—24no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—44no—
1720C2×C4—44no—
1721C2×C4—44no—
1722C2×C4—44no—
1723C2×C4—44no—
1724C2×C4—48no—
1725C2×C4—48no—
1726C2×C4—82no—
1727C2×C4—82no—
1728C2×C4—82no—
1729C2×C4—82no—
1730C2×C4—84no—
1731C2×C4—84no—
1732C2×C4—84no—
1733C2×C4—164no—
1734C2×C4—164no—
1735C2×C4—164no—
1736C2×C4—164no—
1737C2×C4#562116yes—
1738C2×C4C2×H(5,𝔽2)12yes—
1739C2×C4C2×H(5,𝔽2)12yes—
1740C2×C4C2×H(5,𝔽2)12yes—
1741C2×C4C2×H(5,𝔽2)12yes—
1742C2×C4C2×2−1+412yes—
1743C2×C4C2×2−1+412yes—
1744C22—22no—
1745C22—22no—
1746C22—22no—
1747C22—22no—
1748C22—22no—
1749C22—22no—
1750C22—42no—
1751C22—41no—
1752C22—41no—
1753C22—44no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—44no—
1758C22—41no—
1759C22—41no—
1760C22—44no—
1761C22—41no—
1762C22—41no—
1763C22—42no—
1764C22—42no—
1765C22—42no—
1766C22—42no—
1767C22—41no—
1768C22—41no—
1769C22—44no—
1770C22—42no—
1771C22—44no—
1772C22—41no—
1773C22—41no—
1774C22—42no—
1775C22—42no—
1776C22—42no—
1777C22—41no—
1778C22—41no—
1779C22—44no—
1780C22—41no—
1781C22—41no—
1782C22—42no—
1783C22—42no—
1784C22—44no—
1785C22—88no—
1786C22—168no—
1787C22C2×#56214yes—
1788C22C22×H(5,𝔽2)11yescharacteristic
1789C22C22×H(5,𝔽2)11yescharacteristic
1790C22C22×2−1+411yescharacteristic
1791C22H(7,𝔽2)11yescharacteristic
1792C22H(7,𝔽2)11yescharacteristic
1793C22H(7,𝔽2)11yescharacteristic
1794C222−1+611yescharacteristic
1795C4—41no—
1796C4—41no—
1797C4—44no—
1798C4—41no—
1799C4—41no—
1800C4—42no—
1801C4—42no—
1802C4—41no—
1803C4—41no—
1804C4—41no—
1805C4—41no—
1806C4—42no—
1807C4—42no—
1808C4—42no—
1809C4—42no—
1810C4—42no—
1811C4—42no—
1812C4—44no—
1813C4—42no—
1814C4—42no—
1815C4—42no—
1816C4—42no—
1817C4—44no—
1818C4—41no—
1819C4—41no—
1820C4—42no—
1821C4—42no—
1822C4C2×#56214yes—
1823C4C2×#56214yes—
1824C2—24no—
1825C2—82no—
1826C2—82no—
1827C2—81no—
1828C2—81no—
1829C2—84no—
1830C2C22×#56211yescharacteristic
1831C2#6287411yescharacteristic
1832C2#6287511yescharacteristic
1833C2#6287811yescharacteristic
1834C2#6287911yescharacteristic
1835C2#6288011yescharacteristic
1836C2#6288111yescharacteristic
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. #53141C2semidirect
2. #53135C2semidirect
3. #53134C2semidirect
4. #53110C2semidirect
5. #53108C2semidirect
6. #53106C2semidirect
7. #53101C2semidirect
8. #53094C2semidirect
9. #53062C2semidirect
10. #53061C2semidirect
11. #53027C2semidirect
12. #52979C2semidirect
13. #52973C2semidirect
14. #52972C2semidirect
15. #52964C2semidirect
16. #52963C2semidirect
17. #52585C2semidirect
18. #52547C2semidirect
19. #52312C2semidirect
20. #52311C2semidirect
21. #35585C2semidirect
22. #35575C2semidirect
23. #35563C2semidirect
24. #35556C2semidirect
25. #35542C2semidirect
26. #35541C2semidirect
27. #35533C2semidirect
28. #35529C2semidirect
29. #35519C2semidirect
30. #35517C2semidirect
31. #35516C2semidirect
32. #35514C2semidirect
33. #34634C2semidirect
34. #34633C2semidirect
35. C2×#2624C2semidirect
48. #2841C22semidirect
49. #2837C22semidirect
50. #2837C22semidirect
51. #2837C22semidirect
52. #2836C22semidirect
53. #2832C22semidirect
54. #2831C22semidirect
55. #2831C22semidirect
56. #2830C22semidirect
57. #2830C22semidirect
58. #2829C22semidirect
59. #2829C22semidirect
60. #2829C22semidirect
61. #2829C22semidirect
62. #2829C22semidirect
63. #2827C22semidirect
64. #2827C22semidirect
65. #2827C22semidirect
66. #2827C22semidirect
67. #2826C22semidirect
68. #2826C22semidirect
69. #2824C22semidirect
70. #2824C22semidirect
71. #2820C22semidirect
72. #2819C22semidirect
73. #2816C22semidirect
74. #2816C22semidirect
75. #2816C22semidirect
76. #2814C22semidirect
77. #2813C22semidirect
78. #2813C22semidirect
79. #2813C22semidirect
80. #2800C22semidirect
81. #2781C22semidirect
82. #2768C22semidirect
83. #2761C22semidirect
84. #2754C22semidirect
85. #2751C22semidirect
86. #2750C22semidirect
87. #2747C22semidirect
88. #2744C22semidirect
89. #2743C22semidirect
90. #2740C22semidirect
91. #2740C22semidirect
92. #2732C22semidirect
93. #2730C22semidirect
94. #2711C22semidirect
95. #2711C22semidirect
96. #2710C22semidirect
97. #2708C22semidirect
98. #2706C22semidirect
99. #2701C22semidirect
100. #2700C22semidirect
101. #2694C22semidirect
102. #2692C22semidirect
103. #2686C22semidirect
104. #2686C22semidirect
105. #2682C22semidirect
106. #2681C22semidirect
107. #2676C22semidirect
108. #2676C22semidirect
109. #2672C22semidirect
110. #2672C22semidirect
111. #2671C22semidirect
112. #2629C22semidirect
113. #2629C22semidirect
114. #2629C22semidirect
115. #2629C22semidirect
116. #2628C22semidirect
117. #2628C22semidirect
118. #2628C22semidirect
119. #2628C22semidirect
132. #2621C22semidirect
133. #2621C22semidirect
134. #2620C22semidirect
135. #2620C22semidirect
136. #2620C22semidirect
137. #2620C22semidirect
138. #2619C22semidirect
139. #2619C22semidirect
144. #2592C22semidirect
145. #2592C22semidirect
146. #2582C22semidirect
147. #2581C22semidirect
148. #2580C22semidirect
150. #2566C22semidirect
151. #2566C22semidirect
153. #2563C22semidirect
154. #2563C22semidirect
155. #2562C22semidirect
156. #2562C22semidirect
157. #2548C22semidirect
158. #2548C22semidirect
159. #2548C22semidirect
160. #2547C22semidirect
161. #2545C22semidirect
162. #2544C22semidirect
163. #2542C22semidirect
164. #2541C22semidirect
165. #2538C22semidirect
171. #2509C22semidirect
172. #2509C22semidirect
173. #2508C22semidirect
174. #2508C22semidirect
175. #2507C22semidirect
176. #2507C22semidirect
177. #2506C22semidirect
178. #2506C22semidirect
179. #2492C22semidirect
180. #2491C22semidirect
181. #2491C22semidirect
182. #2491C22semidirect
183. #2490C22semidirect
184. #2490C22semidirect
185. #2490C22semidirect
186. #2489C22semidirect
188. #2487C22semidirect
189. #2487C22semidirect
190. #2486C22semidirect
191. #2486C22semidirect
192. #2485C22semidirect
193. #2485C22semidirect
194. #2485C22semidirect
195. #2485C22semidirect
199. #2454C22semidirect
200. #2454C22semidirect
201. #2454C22semidirect
202. #2453C22semidirect
203. #2452C22semidirect
204. #2452C22semidirect
205. #2452C22semidirect
206. #2451C22semidirect
209. #2448C22semidirect
210. #2447C22semidirect
211. #2447C22semidirect
212. #2447C22semidirect
213. #2446C22semidirect
214. #2445C22semidirect
215. #2445C22semidirect
216. #2445C22semidirect
220. #2442C22semidirect
221. #2442C22semidirect
222. #2441C22semidirect
223. #2441C22semidirect
224. #2440C22semidirect
225. #2440C22semidirect
226. #2439C22semidirect
227. #2439C22semidirect
240. #2423C22semidirect
241. #2422C22semidirect
242. #2422C22semidirect
243. #2422C22semidirect
244. #2421C22semidirect
245. #2420C22semidirect
246. #2420C22semidirect
247. #2420C22semidirect
253. #2416C22semidirect
254. #2416C22semidirect
257. #2414C22semidirect
258. #2414C22semidirect
264. #2396C22semidirect
265. #2396C22semidirect
266. #2396C22semidirect
267. #2396C22semidirect
269. #2392C22semidirect
270. #2392C22semidirect
271. #2392C22semidirect
272. #2392C22semidirect

Maximal subgroups

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

subgroupindex
#531412
#531352
#531342
#531102
#531082
#531062
#531012
#530942
#530622
#530612
#530272
#529792
#529732
#529722
#529642
#529632
#525852
#525472
#523122
#523112
#355852
#355752
#355632
#355562
#355422
#355412
#355332
#355292
#355192
#355172
#355162
#355142
#346342
#346332
C2×#26242