Finite Group Databasebeta

← #7671126

Subgroups — #7671126

Order 512.

5112 conjugacy classes of subgroups.

The subgroup lattice has 1703 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59585C212yesmaximal, complemented
2#59522C214yesmaximal, complemented
3#59463C212yesmaximal, complemented
4#59278C212yesmaximal, complemented
5#59100C212yesmaximal, complemented
6#59080C211yesmaximal, characteristic
7#59079C211yesmaximal, characteristic, complemented
8#59067C211yesmaximal, characteristic, complemented
9#59064C211yesmaximal, characteristic, complemented
10#40362C214yesmaximal, complemented
11#40200C212yesmaximal, complemented
12#40154C212yesmaximal, complemented
13#39930C212yesmaximal, complemented
14#39857C212yesmaximal, complemented
15#38701C214yesmaximal, complemented
16#36639C211yesmaximal, characteristic, complemented
17#36538C211yesmaximal, characteristic, complemented
18#36502C212yesmaximal, complemented
19#36496C211yesmaximal, characteristic, complemented
20#36469C211yesmaximal, characteristic, complemented
21#36446C211yesmaximal, characteristic, complemented
22#36385C212yesmaximal, complemented
23#36315C212yesmaximal, complemented
24#36313C211yesmaximal, characteristic, complemented
25#36306C212yesmaximal, complemented
26#36300C211yesmaximal, characteristic, complemented
27#36286C211yesmaximal, characteristic, complemented
28#36276C211yesmaximal, characteristic, complemented
29#35472C214yesmaximal, complemented
30#35117C212yesmaximal, complemented
31#35036C212yesmaximal, complemented
32#34331C212yesmaximal, complemented
33#34327C212yesmaximal, complemented
34C4×#533C211yesmaximal, characteristic, complemented
35C4×#529C211yesmaximal, characteristic, complemented
36C2×#559C2212yes—
37C2×#559C2211yescharacteristic
38C2×#557C2211yescharacteristic
39C2×#554C2211yescharacteristic
40C2×D4×Q8C2211yescharacteristic
41C2×#548C2212yes—
42C2×#533C2211yescharacteristic
43C2×#533C2211yescharacteristic
44C2×#532C2211yescharacteristic
45C2×#529C2211yescharacteristic
46#2863C2212yes—
47#2863C2212yes—
48#2862C2211yescharacteristic
49#2862C2211yescharacteristic
50#2862C2212yes—
51#2861C2212yes—
52#2861C2212yes—
53#2861C2212yes—
54#2861C2212yes—
55#2860C2212yes—
56#2858C2211yescharacteristic
57#2858C2211yescharacteristic
58#2857C2212yes—
59#2854C2212yes—
60#2850C2212yes—
61#2850C2212yes—
62#2850C2212yes—
63#2850C2212yes—
64#2790C2214yes—
65#2788C2214yes—
66#2779C2214yes—
67#2775C2214yes—
68#2764C2214yes—
69#2757C2214yes—
70#2746C2214yes—
71#2728C2214yes—
72#2720C2214yes—
73#2715C2214yes—
74#2708C2214yes—
75#2700C2214yes—
76#2695C2214yes—
77#2693C2214yes—
78#2676C2214yes—
79#2672C2214yes—
80#2650C2214yes—
81#2649C2214yes—
82#2637C2214yes—
83#2630C2214yes—
84#2609C2214yes—
85#2605C2214yes—
86#2602C2214yes—
87#2598C2214yes—
88#2595C2214yes—
89#2592C2212yes—
90#2589C2214yes—
91#2588C2214yes—
92#2587C2214yes—
93#2581C2212yes—
94#2578C2214yes—
95#2576C2214yes—
96#2574C2214yes—
97#2570C2212yes—
98#2568C2212yes—
99#2568C2211yescharacteristic
100#2568C2211yescharacteristic
101#2567C2211yescharacteristic
102#2567C2211yescharacteristic
103#2566C2212yes—
104#2566C2212yes—
105#2558C2214yes—
106#2558C2214yes—
107#2557C2214yes—
108#2556C2214yes—
109#2552C2212yes—
110#2550C2212yes—
111#2550C2212yes—
112#2549C2214yes—
113#2549C2214yes—
114#2548C2211yescharacteristic
115#2547C2212yes—
116#2547C2211yescharacteristic
117#2547C2212yes—
118#2546C2211yescharacteristic
119#2545C2212yes—
120#2545C2212yes—
121#2545C2212yes—
122#2544C2212yes—
123#2544C2212yes—
124#2541C2211yescharacteristic
125#2532C2214yes—
126#2532C2214yes—
127#2531C2214yes—
128#2531C2214yes—
129#2529C2214yes—
130#2529C2214yes—
131#2529C2214yes—
132#2528C2214yes—
133#2527C2214yes—
134#2524C2214yes—
135#2521C2214yes—
136#2518C2214yes—
137#2515C2214yes—
138#2514C2212yes—
139#2514C2212yes—
140#2513C2212yes—
141#2512C2212yes—
142#2511C2212yes—
143#2510C2214yes—
144#2505C2214yes—
145#2502C2212yes—
146#2498C2214yes—
147#2497C2214yes—
148#2491C2212yes—
149#2491C2212yes—
150#2489C2212yes—
151#2489C2212yes—
152#2489C2214yes—
153#2489C2212yes—
154#2489C2214yes—
155#2489C2212yes—
156#2485C2214yes—
157#2476C2214yes—
158#2474C2214yes—
159#2474C2214yes—
160#2468C2214yes—
161#2467C2214yes—
162#2465C2214yes—
163#2463C2214yes—
164#2462C2214yes—
165#2461C2214yes—
166#2461C2214yes—
167#2460C2214yes—
168#2454C2212yes—
169#2453C2212yes—
170#2453C2212yes—
171#2453C2212yes—
172#2452C2212yes—
173#2451C2212yes—
174#2448C2212yes—
175#2447C2212yes—
176#2447C2212yes—
177#2446C2212yes—
178#2446C2212yes—
179#2442C2212yes—
180#2441C2212yes—
181#2436C2212yes—
182#2434C2212yes—
183#2432C2212yes—
184#2429C2212yes—
185#2428C2212yes—
186#2427C2212yes—
187#2427C2212yes—
188#2426C2212yes—
189#2426C2212yes—
190#2426C2212yes—
191#2423C2212yes—
192#2422C2212yes—
193#2421C2214yes—
194#2420C2212yes—
195#2419C2214yes—
196#2415C2212yes—
197#2407C2212yes—
198#2372C2214yes—
199#2369C2211yescharacteristic
200#2368C2214yes—
201#2367C2212yes—
202#2367C2214yes—
203#2367C2212yes—
204#2367C2212yes—
205#2367C2212yes—
206#2367C2212yes—
207#2366C2212yes—
208#2366C2211yescharacteristic
209#2365C2211yescharacteristic
210#2365C2211yescharacteristic
211#2365C2212yes—
212#2364C2214yes—
213#2362C2212yes—
214#2361C2212yes—
215#2361C2212yes—
216#2359C2214yes—
217#2359C2214yes—
218#2356C2212yes—
219#2356C2212yes—
220#2355C2212yes—
221#2354C2214yes—
222#2354C2212yes—
223#2353C2214yes—
224#2353C2214yes—
225#2352C2212yes—
226Q8×C4⋊C4C2212yes—
227#2349C2212yes—
228#2349C2212yes—
229#2349C2212yes—
230#2346C2214yes—
231Q8×C22⋊C4C2212yes—
232Q8×C22⋊C4C2212yes—
233#2339C2212yes—
234#2337C2214yes—
235#2335C2214yes—
236#2335C2214yes—
237#2334C2214yes—
238#2332C2214yes—
239#2326C2214yes—
240#2325C2214yes—
241C4×C4⋊Q8C2211yescharacteristic
242C4×C4⋊Q8C2211yescharacteristic
243C4×C4⋊Q8C2211yescharacteristic
244C4×C4⋊Q8C2211yescharacteristic
245C4×#127C2212yes—
246C4×#125C2211yescharacteristic
247C4×#125C2212yes—
248C4×#125C2212yes—
249C4×#125C2211yescharacteristic
250C4×#126C2212yes—
251C4×#126C2212yes—
252C4×#124C2212yes—
253C4×#124C2212yes—
254C4×#124C2212yes—
255C4×#124C2212yes—
256C4×#124C2212yes—
257C4×#124C2212yes—
258C4×#124C2211yescharacteristic
259C4×#124C2211yescharacteristic
260C4×C22⋊Q8C2211yescharacteristic
261C4×C22⋊Q8C2211yescharacteristic
262C4×C22⋊Q8C2212yes—
263C4×C22⋊Q8C2212yes—
264C4×C22⋊Q8C2211yescharacteristic
265C4×C22⋊Q8C2211yescharacteristic
266C4×C22⋊Q8C2211yescharacteristic
267C4×C22⋊Q8C2211yescharacteristic
268C4×#123C2212yes—
269C4×#123C2212yes—
270C4×#121C2212yes—
271C4×#121C2211yescharacteristic
272C4×#121C2211yescharacteristic
273#2298C2212yes—
274#2297C2212yes—
275#2297C2212yes—
276#2296C2212yes—
277#2295C2212yes—
278#2295C2212yes—
279#2295C2211yescharacteristic
280#2295C2212yes—
281#2295C2211yescharacteristic
282#2295C2211yescharacteristic
283C2×#391C2212yes—
284#2293C2211yescharacteristic
285#2293C2212yes—
286#2290C2212yes—
287#2285C2211yescharacteristic
288#2283C2211yescharacteristic
289#2275C2214yes—
290C42×Q8C2212yes—
291C42×Q8C2211yescharacteristic
292C42×Q8C2211yescharacteristic
293C42×Q8C2211yescharacteristic
294C42×D4C2212yes—
295C42×D4C2211yescharacteristic
296C4×#117C2212yes—
297C4×#117C2212yes—
298C2×C43C2211yescharacteristic
299C22×#41C2312yes—
300C23×Q8C2312yes—
301#559—216no—
302#559—44no—
303#557—44no—
304#554—44no—
305D4×Q8—44no—
306#548—216no—
307#533—28no—
308#533—44no—
309#532—44no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×#127C2312yes—
319C2×#127C2311yescharacteristic
320#529—28no—
321C2×#126C2312yes—
322C2×#126C2314yes—
323C2×#125C2311yescharacteristic
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2314yes—
329C2×#124C2314yes—
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2311yescharacteristic
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2312yes—
344C2×#123C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2311yescharacteristic
356C2×#121C2314yes—
357C2×#121C2312yes—
358C2×#121C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×C4×Q8C2311yescharacteristic
363C2×C4×Q8C2311yescharacteristic
364C2×C4×Q8C2312yes—
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2311yescharacteristic
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2312yes—
369C2×C4×Q8C2311yescharacteristic
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2311yescharacteristic
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2312yes—
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2311yescharacteristic
376C2×C4×Q8C2312yes—
377C2×C4×Q8C2312yes—
378C2×C4×Q8C2312yes—
379C2×C4×Q8C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2311yescharacteristic
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2312yes—
388C2×C4×D4C2314yes—
389C2×C4×D4C2314yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×#117C2312yes—
399C2×#117C2312yes—
400C2×#117C2312yes—
401C2×#117C2314yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C42C2311yescharacteristic
406C22×C42C2311yescharacteristic
407C22×C42C2311yescharacteristic
408C22×C42C2311yescharacteristic
409C22×C42C2311yescharacteristic
410C22×C42C2311yescharacteristic
411C22×C42C2312yes—
412C22×C42C2311yescharacteristic
413#401C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#399C2314yes—
426#399C2314yes—
427#398C2314yes—
428#398C2314yes—
429#398C2314yes—
430#398C2314yes—
431#398C2314yes—
432#398C2314yes—
433#398C2314yes—
434#398C2314yes—
435#398C2314yes—
436#397C2314yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2314yes—
442#397C2314yes—
443#397C2314yes—
444#397C2314yes—
445#397C2314yes—
446#397C2314yes—
447#397C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2314yes—
453#396C2314yes—
454#396C2314yes—
455#396C2314yes—
456#396C2314yes—
457#395C2314yes—
458#395C2314yes—
459#395C2314yes—
460#395C2314yes—
461#395C2314yes—
462#394C2314yes—
463#394C2314yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2314yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2314yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#392C2314yes—
476#392C2314yes—
477#391C2311yescharacteristic
478#391C2312yes—
479#391C2311yescharacteristic
480#391C2312yes—
481#391C2311yescharacteristic
482#391C2311yescharacteristic
483#391C2312yes—
484#391C2312yes—
485#391C2312yes—
486#391C2314yes—
487#391C2312yes—
488#391C2314yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2312yes—
493#391C2312yes—
494#391C2312yes—
495#391C2314yes—
496#391C2314yes—
497#391C2314yes—
498#391C2312yes—
499#391C2314yes—
500#391C2314yes—
501#391C2312yes—
502#391C2312yes—
503#391C2312yes—
504#391C2312yes—
505#391C2312yes—
506#391C2312yes—
507#391C2314yes—
508#391C2312yes—
509#391C2311yescharacteristic
510#391C2312yes—
511#391C2312yes—
512#391C2311yescharacteristic
513#390C2311yescharacteristic
514#390C2314yes—
515#390C2312yes—
516#390C2314yes—
517#390C2312yes—
518#390C2312yes—
519#390C2312yes—
520#390C2312yes—
521#390C2314yes—
522#390C2312yes—
523#390C2312yes—
524#390C2312yes—
525#390C2312yes—
526#390C2312yes—
527#390C2312yes—
528#390C2312yes—
529#390C2312yes—
530#390C2311yescharacteristic
531#390C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2312yes—
536#389C2311yescharacteristic
537#389C2311yescharacteristic
538#389C2311yescharacteristic
539#389C2311yescharacteristic
540#389C2311yescharacteristic
541#389C2311yescharacteristic
542#389C2312yes—
543#389C2311yescharacteristic
544#389C2312yes—
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2312yes—
548#389C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2314yes—
553#389C2314yes—
554#389C2314yes—
555#389C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2314yes—
559#389C2312yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#388C2312yes—
564#388C2312yes—
565#388C2312yes—
566#388C2312yes—
567#388C2312yes—
568#388C2312yes—
569#388C2314yes—
570#388C2314yes—
571#388C2312yes—
572#388C2314yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2314yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2312yes—
610#387C2312yes—
611#387C2312yes—
612#387C2312yes—
613#387C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2312yes—
621#387C2312yes—
622#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2314yes—
662#386C2314yes—
663#386C2312yes—
664#385C2314yes—
665#385C2314yes—
666#385C2314yes—
667#385C2314yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2312yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2312yes—
681#385C2312yes—
682#385C2312yes—
683#385C2312yes—
684#385C2312yes—
685#384C2312yes—
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2312yes—
689#384C2314yes—
690#383C2312yes—
691#383C2314yes—
692#383C2314yes—
693#383C2314yes—
694#382C2312yes—
695#382C2311yescharacteristic
696#382C2311yescharacteristic
697#382C2312yes—
698#382C2312yes—
699#382C2312yes—
700#382C2314yes—
701#382C2312yes—
702#382C2314yes—
703#382C2312yes—
704#382C2312yes—
705#382C2314yes—
706#381C2314yes—
707#381C2314yes—
708#381C2312yes—
709#380C2314yes—
710#380C2314yes—
711#380C2314yes—
712#380C2314yes—
713#380C2314yes—
714#380C2311yescharacteristic
715#380C2312yes—
716#380C2312yes—
717#380C2314yes—
718#380C2314yes—
719#380C2314yes—
720#380C2311yescharacteristic
721#380C2311yescharacteristic
722#380C2312yes—
723#380C2311yescharacteristic
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2312yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2311yescharacteristic
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2311yescharacteristic
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2312yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C4⋊C4C2312yes—
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2311yescharacteristic
749C4×C4⋊C4C2311yescharacteristic
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2311yescharacteristic
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2311yescharacteristic
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2311yescharacteristic
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2312yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C22⋊C4C2312yes—
773C4×C22⋊C4C2312yes—
774C4×C22⋊C4C2312yes—
775C4×C22⋊C4C2312yes—
776C4×C22⋊C4C2312yes—
777C4×C22⋊C4C2312yes—
778C4×C22⋊C4C2314yes—
779C4×C22⋊C4C2314yes—
780C4×C22⋊C4C2314yes—
781C4×C22⋊C4C2314yes—
782C4×C22⋊C4C2314yes—
783C4×C22⋊C4C2314yes—
784C4×C22⋊C4C2312yes—
785C4×C22⋊C4C2314yes—
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2314yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800#376C2314yes—
801#376C2312yes—
802#376C2314yes—
803#376C2312yes—
804#376C2312yes—
805#376C2312yes—
806C2×#95C2314yes—
807C2×#95C2314yes—
808C2×#95C2314yes—
809C43C2311yescharacteristic
810C43C2311yescharacteristic
811C43C2311yescharacteristic
812C43C2311yescharacteristic
813C43C2311yescharacteristic
814C43C2312yes—
815C43C2311yescharacteristic
816C43C2312yes—
817C43C2311yescharacteristic
818C43C2312yes—
819C43C2311yescharacteristic
820C2×#41—28no—
821C2×#41—44no—
822C2×#41—44no—
823C22×Q8—28no—
824C22×Q8—44no—
825C22×Q8—44no—
826C22×Q8C2411yescharacteristic
827C22×Q8C2411yescharacteristic
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×Q8C2414yes—
834C22×D4C2412yes—
835C22×D4C2412yes—
836C22×D4C2412yes—
837C22×D4C2414yes—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2414yes—
841C22×D4C2414yes—
842C23×C4C2412yes—
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2414yes—
849C23×C4C2414yes—
850C23×C4C2414yes—
851C23×C4C2412yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2414yes—
855C23×C4C2414yes—
856C23×C4C2412yes—
857C4⋊Q8—24no—
858C4⋊Q8—24no—
859C4⋊Q8—24no—
860C4⋊Q8—24no—
861C4⋊Q8—24no—
862C4⋊Q8—44no—
863C4⋊Q8—44no—
864C4⋊Q8—44no—
865#127—28no—
866#127—24no—
867#126—28no—
868#126—48no—
869#125—24no—
870#125—28no—
871#125—44no—
872#125—44no—
873#125—44no—
874#125—48no—
875#124—28no—
876#124—24no—
877#124—28no—
878#124—216no—
879#124—216no—
880#124—28no—
881#124—28no—
882#124—44no—
883#124—44no—
884#124—44no—
885#124—44no—
886#124—44no—
887#123—216no—
888#123—28no—
889#123—216no—
890#123—48no—
891C22⋊Q8—24no—
892C22⋊Q8—24no—
893C22⋊Q8—216no—
894C22⋊Q8—28no—
895C22⋊Q8—48no—
896C22⋊Q8—48no—
897C22⋊Q8—44no—
898C22⋊Q8—44no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901C22⋊Q8#4118yes—
902#121—24no—
903#121—28no—
904#121—216no—
905#121—44no—
906#121—44no—
907#121—44no—
908C4×Q8—24no—
909C4×Q8—24no—
910C4×Q8—28no—
911C4×Q8—28no—
912C4×Q8—28no—
913C4×Q8—24no—
914C4×Q8—28no—
915C4×Q8—24no—
916C4×Q8—24no—
917C4×Q8—24no—
918C4×Q8—24no—
919C4×Q8—44no—
920C4×Q8—42no—
921C4×Q8—42no—
922C4×Q8—44no—
923C4×Q8—44no—
924C4×Q8—44no—
925C4×Q8—44no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—216no—
929C4×D4—216no—
930C4×D4—28no—
931C4×D4—24no—
932C4×D4—24no—
933C4×D4—48no—
934C4×D4—48no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—44no—
943C4×D4#4118yescomplemented
944#117—28no—
945#117—28no—
946#117—44no—
947#117—44no—
948#117—48no—
949#117—44no—
950C2×C4⋊C4—44no—
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2412yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2411yescharacteristic
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2414yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2414yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2412yes—
1019C2×C22⋊C4C2412yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2412yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2414yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2414yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C42—24no—
1060C2×C42—24no—
1061C2×C42—24no—
1062C2×C42—24no—
1063C2×C42—44no—
1064C2×C42—42no—
1065C2×C42—42no—
1066C2×C42—42no—
1067C2×C42C2412yes—
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2412yes—
1071C2×C42C2412yes—
1072C2×C42C2412yes—
1073C2×C42C2412yes—
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2412yes—
1077C2×C42C2412yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2412yes—
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2412yes—
1085C2×C42C2412yes—
1086C2×C42C2411yescharacteristic
1087C2×C42C2411yescharacteristic
1088C2×C42C2411yescharacteristic
1089C2×C42C2411yescharacteristic
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2411yescharacteristic
1093C2×C42C2411yescharacteristic
1094C2×C42C2411yescharacteristic
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2414yes—
1104C2×C42C2412yes—
1105C2×C42C2414yes—
1106C2×C42C2412yes—
1107C2×C42C2414yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2411yescharacteristic
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2412yes—
1146#95C2412yes—
1147#95C2412yes—
1148#95C2412yes—
1149#95C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
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#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191C24C2514yes—
1192C24C2511yescharacteristic
1193C24C2512yes—
1194#41—816no—
1195C2×Q8—22no—
1196C2×Q8—24no—
1197C2×Q8—22no—
1198C2×Q8—24no—
1199C2×Q8—24no—
1200C2×Q8—24no—
1201C2×Q8—28no—
1202C2×Q8—22no—
1203C2×Q8—22no—
1204C2×Q8—22no—
1205C2×Q8—24no—
1206C2×Q8—24no—
1207C2×Q8—24no—
1208C2×Q8—22no—
1209C2×Q8—24no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—24no—
1213C2×Q8—42no—
1214C2×Q8—44no—
1215C2×Q8—42no—
1216C2×Q8—42no—
1217C2×Q8—44no—
1218C2×Q8—816no—
1219C2×Q8C2×#4114yes—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—28no—
1223C2×D4—28no—
1224C2×D4—28no—
1225C2×D4—28no—
1226C2×D4—24no—
1227C2×D4—24no—
1228C2×D4—22no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—24no—
1234C2×D4—24no—
1235C2×D4—44no—
1236C2×D4—42no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—42no—
1241C2×D4—42no—
1242C2×D4—44no—
1243C2×D4C2×#4114yes—
1244C22×C4—22no—
1245C22×C4—22no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—22no—
1249C22×C4—22no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—24no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—24no—
1257C22×C4—22no—
1258C22×C4—22no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—28no—
1262C22×C4—28no—
1263C22×C4—28no—
1264C22×C4—24no—
1265C22×C4—41no—
1266C22×C4—42no—
1267C22×C4—41no—
1268C22×C4—41no—
1269C22×C4—41no—
1270C22×C4—41no—
1271C22×C4—41no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—44no—
1277C22×C4—44no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—44no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—44no—
1285C22×C4—44no—
1286C22×C4—44no—
1287C22×C4C2×#4114yes—
1288C22×C4C2×#4118yes—
1289C22×C4C2512yes—
1290C22×C4C2514yes—
1291C22×C4C2512yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2512yes—
1299C22×C4C2514yes—
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2512yes—
1303C22×C4C2512yes—
1304C22×C4C2514yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2512yes—
1308C22×C4C2511yescharacteristic
1309C22×C4C2511yescharacteristic
1310C22×C4C2512yes—
1311C22×C4C2511yescharacteristic
1312C22×C4C2512yes—
1313C22×C4C2512yes—
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—28no—
1329C4⋊C4—22no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—22no—
1335C4⋊C4—24no—
1336C4⋊C4—28no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—24no—
1341C4⋊C4—24no—
1342C4⋊C4—22no—
1343C4⋊C4—22no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—44no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—44no—
1382C4⋊C4C2×#4114yes—
1383C4⋊C4C2×#4118yes—
1384C4⋊C4C2×#4114yes—
1385C22⋊C4—24no—
1386C22⋊C4—24no—
1387C22⋊C4—24no—
1388C22⋊C4—28no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—28no—
1392C22⋊C4—24no—
1393C22⋊C4—24no—
1394C22⋊C4—28no—
1395C22⋊C4—28no—
1396C22⋊C4—28no—
1397C22⋊C4—28no—
1398C22⋊C4—28no—
1399C22⋊C4—28no—
1400C22⋊C4—24no—
1401C22⋊C4—24no—
1402C22⋊C4—28no—
1403C22⋊C4—28no—
1404C22⋊C4—24no—
1405C22⋊C4—28no—
1406C22⋊C4—24no—
1407C22⋊C4—28no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—42no—
1415C22⋊C4—44no—
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⋊C4C2×#4118yes—
1428C22⋊C4C2×#4118yes—
1429C42—22no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—22no—
1435C42—22no—
1436C42—24no—
1437C42—24no—
1438C42—24no—
1439C42—28no—
1440C42—24no—
1441C42—28no—
1442C42—24no—
1443C42—24no—
1444C42—22no—
1445C42—22no—
1446C42—22no—
1447C42—24no—
1448C42—24no—
1449C42—24no—
1450C42—22no—
1451C42—22no—
1452C42—22no—
1453C42—24no—
1454C42—22no—
1455C42—22no—
1456C42—24no—
1457C42—22no—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—24no—
1462C42—24no—
1463C42—24no—
1464C42—24no—
1465C42—41no—
1466C42—42no—
1467C42—41no—
1468C42—41no—
1469C42—42no—
1470C42—41no—
1471C42—41no—
1472C42—41no—
1473C42—42no—
1474C42—44no—
1475C42—44no—
1476C42—42no—
1477C42—42no—
1478C42—42no—
1479C42—44no—
1480C42C2×#4114yes—
1481C42H(5,𝔽2)14yes—
1482C422−1+414yes—
1483C23—21no—
1484C23—22no—
1485C23—22no—
1486C23—21no—
1487C23—22no—
1488C23—21no—
1489C23—22no—
1490C23—22no—
1491C23—21no—
1492C23—21no—
1493C23—22no—
1494C23—21no—
1495C23—24no—
1496C23—24no—
1497C23—24no—
1498C23—24no—
1499C23—24no—
1500C23—24no—
1501C23—24no—
1502C23C22×#4114yes—
1503C23C22×#4112yes—
1504C23C2611yescharacteristic
1505Q8—28no—
1506Q8—48no—
1507Q8—44no—
1508Q8—48no—
1509Q8—44no—
1510Q8—48no—
1511Q8—84no—
1512Q8—88no—
1513D4—28no—
1514D4—416no—
1515D4—48no—
1516D4—48no—
1517D4—48no—
1518D4—84no—
1519D4—88no—
1520D4—88no—
1521C2×C4—28no—
1522C2×C4—21no—
1523C2×C4—22no—
1524C2×C4—21no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—22no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—22no—
1543C2×C4—22no—
1544C2×C4—28no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—21no—
1549C2×C4—21no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—24no—
1560C2×C4—22no—
1561C2×C4—21no—
1562C2×C4—21no—
1563C2×C4—22no—
1564C2×C4—22no—
1565C2×C4—22no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—24no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—21no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—24no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—22no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—24no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—48no—
1603C2×C4—44no—
1604C2×C4—44no—
1605C2×C4—44no—
1606C2×C4—44no—
1607C2×C4—44no—
1608C2×C4—48no—
1609C2×C4—88no—
1610C2×C4—84no—
1611C2×C4—88no—
1612C2×C4—88no—
1613C2×C4—164no—
1614C2×C4—164no—
1615C2×C4C22×#4112yes—
1616C2×C4C22×#4114yes—
1617C2×C4C22×#4114yes—
1618C2×C4C22×#4112yes—
1619C2×C4C22×#4112yes—
1620C2×C4C22×#4114yes—
1621C2×C4C22×#4112yes—
1622C2×C4C22×#4112yes—
1623C2×C4C2×H(5,𝔽2)12yes—
1624C2×C4C2×H(5,𝔽2)12yes—
1625C2×C4C2×H(5,𝔽2)12yes—
1626C2×C4C2×2−1+412yes—
1627C2×C4C2×2−1+412yes—
1628C2×C4C2×2−1+412yes—
1629C2×C4#58512yes—
1630C2×C4#58512yes—
1631C2×C4#58512yes—
1632C22—22no—
1633C22—24no—
1634C22—22no—
1635C22—24no—
1636C22—22no—
1637C22—24no—
1638C22—42no—
1639C22—41no—
1640C22—42no—
1641C22—41no—
1642C22—41no—
1643C22—42no—
1644C22—41no—
1645C22—42no—
1646C22—44no—
1647C22—44no—
1648C22—44no—
1649C22—44no—
1650C22—44no—
1651C22—44no—
1652C22—44no—
1653C22C23×#4111yescharacteristic
1654C22C23×#4111yescharacteristic
1655C22C22×H(5,𝔽2)11yescharacteristic
1656C22C22×2−1+411yescharacteristic
1657C22C2×#58511yescharacteristic
1658C22C2×#58511yescharacteristic
1659C22C2×#58511yescharacteristic
1660C4—22no—
1661C4—24no—
1662C4—22no—
1663C4—24no—
1664C4—22no—
1665C4—22no—
1666C4—22no—
1667C4—22no—
1668C4—22no—
1669C4—22no—
1670C4—24no—
1671C4—42no—
1672C4—44no—
1673C4—42no—
1674C4—41no—
1675C4—42no—
1676C4—42no—
1677C4—42no—
1678C4—41no—
1679C4—44no—
1680C4—42no—
1681C4—42no—
1682C4—42no—
1683C4—41no—
1684C4—42no—
1685C4—42no—
1686C4—44no—
1687C4—41no—
1688C4—42no—
1689C4—42no—
1690C4#351114yes—
1691C4#351414yes—
1692C2—42no—
1693C2—44no—
1694C2—84no—
1695C2#41211yescharacteristic
1696C2C2×#351411yescharacteristic
1697C2#6278111yescharacteristic
1698C2#6278811yescharacteristic
1699C2C2×#351111yescharacteristic
1700C2#6283111yescharacteristic
1701C2#6283611yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#59080C2
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59585C2semidirect
2. #59522C2semidirect
3. #59463C2semidirect
4. #59278C2semidirect
5. #59100C2semidirect
7. #59079C2semidirect
8. #59067C2semidirect
9. #59064C2semidirect
10. #40362C2semidirect
11. #40200C2semidirect
12. #40154C2semidirect
13. #39930C2semidirect
14. #39857C2semidirect
15. #38701C2semidirect
16. #36639C2semidirect
17. #36538C2semidirect
18. #36502C2semidirect
19. #36496C2semidirect
20. #36469C2semidirect
21. #36446C2semidirect
22. #36385C2semidirect
23. #36315C2semidirect
24. #36313C2semidirect
25. #36306C2semidirect
26. #36300C2semidirect
27. #36286C2semidirect
28. #36276C2semidirect
29. #35472C2semidirect
30. #35117C2semidirect
31. #35036C2semidirect
32. #34331C2semidirect
33. #34327C2semidirect
34. C4×#533C2semidirect
35. C4×#529C2semidirect
943. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#595852
#595222
#594632
#592782
#591002
#590802
#590792
#590672
#590642
#403622
#402002
#401542
#399302
#398572
#387012
#366392
#365382
#365022
#364962
#364692
#364462
#363852
#363152
#363132
#363062
#363002
#362862
#362762
#354722
#351172
#350362
#343312
#343272
C4×#5332
C4×#5292