Finite Group Databasebeta

← #7650805

Subgroups — #7650805

Order 512.

4616 conjugacy classes of subgroups.

The subgroup lattice has 1671 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42779C212yesmaximal, complemented
2#42770C212yesmaximal, complemented
3#42725C212yesmaximal, complemented
4#42672C212yesmaximal, complemented
5#42672C212yesmaximal, complemented
6#42659C212yesmaximal, complemented
7#42542C212yesmaximal, complemented
8#42457C212yesmaximal, complemented
9#41514C214yesmaximal, complemented
10#41451C214yesmaximal, complemented
11#40222C212yesmaximal, complemented
12#40071C212yesmaximal, complemented
13#39930C212yesmaximal, complemented
14#39905C212yesmaximal, complemented
15#39792C212yesmaximal, complemented
16#39159C212yesmaximal, complemented
17#39007C212yesmaximal, complemented
18#38933C212yesmaximal, complemented
19#38611C214yesmaximal, complemented
20#37915C214yesmaximal, complemented
21#35673C211yesmaximal, characteristic, complemented
22#35668C211yesmaximal, characteristic, complemented
23#35629C211yesmaximal, characteristic, complemented
24#35628C211yesmaximal, characteristic, complemented
25#35628C211yesmaximal, characteristic, complemented
26#35566C211yesmaximal, characteristic, complemented
27#35308C211yesmaximal, characteristic
28#35255C211yesmaximal, characteristic
29#35158C211yesmaximal, characteristic
30#34947C211yesmaximal, characteristic, complemented
31C2×#2514C211yesmaximal, characteristic, complemented
32#34745C211yesmaximal, characteristic, complemented
33#34268C211yesmaximal, characteristic, complemented
34#34213C211yesmaximal, characteristic, complemented
35#34189C211yesmaximal, characteristic, complemented
36C2×#544C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#536C2211yescharacteristic
39C2×#536C2211yescharacteristic
40C2×#533C2211yescharacteristic
41C2×#533C2211yescharacteristic
42C2×#519C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45#2857C2212yes—
46#2855C2212yes—
47#2854C2212yes—
48#2850C2214yes—
49#2850C2212yes—
50#2838C2214yes—
51#2838C2214yes—
52#2838C2214yes—
53#2831C2214yes—
54#2801C2214yes—
55#2795C2214yes—
56#2793C2214yes—
57#2777C2214yes—
58#2775C2214yes—
59#2773C2214yes—
60#2773C2214yes—
61#2770C2214yes—
62#2766C2214yes—
63#2766C2214yes—
64#2765C2214yes—
65#2764C2214yes—
66#2762C2214yes—
67#2762C2214yes—
68#2759C2214yes—
69#2759C2214yes—
70#2759C2214yes—
71#2758C2214yes—
72#2758C2214yes—
73#2757C2214yes—
74#2755C2214yes—
75#2755C2214yes—
76#2746C2214yes—
77#2745C2214yes—
78#2745C2214yes—
79#2738C2214yes—
80#2738C2214yes—
81#2737C2214yes—
82#2729C2214yes—
83#2700C2214yes—
84#2687C2214yes—
85#2674C2214yes—
86#2666C2214yes—
87#2666C2214yes—
88#2663C2214yes—
89#2655C2214yes—
90#2655C2214yes—
91#2653C2214yes—
92#2653C2214yes—
93#2651C2214yes—
94#2649C2214yes—
95#2647C2214yes—
96#2645C2214yes—
97#2639C2214yes—
98#2632C2214yes—
99#2625C2212yes—
100#2624C2212yes—
101#2621C2212yes—
102#2620C2212yes—
103#2592C2212yes—
104#2592C2212yes—
105#2592C2212yes—
106#2592C2212yes—
107#2584C2212yes—
108#2584C2212yes—
109#2568C2212yes—
110#2568C2212yes—
111#2568C2212yes—
112#2568C2212yes—
113#2568C2212yes—
114#2568C2211yescharacteristic
115#2567C2212yes—
116#2567C2212yes—
117#2567C2211yescharacteristic
118#2566C2211yescharacteristic
119#2566C2211yescharacteristic
120#2565C2211yescharacteristic
121#2565C2212yes—
122#2565C2212yes—
123#2565C2211yescharacteristic
124#2564C2212yes—
125#2564C2212yes—
126#2563C2211yescharacteristic
127#2552C2212yes—
128#2551C2212yes—
129#2550C2212yes—
130#2550C2212yes—
131#2549C2214yes—
132#2546C2212yes—
133#2542C2211yescharacteristic
134#2532C2214yes—
135#2530C2214yes—
136#2529C2214yes—
137#2527C2214yes—
138#2525C2214yes—
139#2525C2214yes—
140#2515C2214yes—
141#2514C2212yes—
142#2514C2212yes—
143#2514C2212yes—
144#2514C2212yes—
145#2514C2212yes—
146#2514C2212yes—
147#2514C2212yes—
148#2514C2212yes—
149#2514C2212yes—
150#2514C2212yes—
151#2513C2212yes—
152#2513C2212yes—
153#2510C2214yes—
154#2510C2214yes—
155#2498C2214yes—
156#2498C2214yes—
157#2495C2212yes—
158#2495C2214yes—
159#2495C2212yes—
160#2494C2214yes—
161#2494C2212yes—
162#2494C2212yes—
163#2492C2212yes—
164#2492C2212yes—
165#2492C2214yes—
166#2492C2212yes—
167#2492C2212yes—
168#2492C2212yes—
169#2492C2212yes—
170#2491C2212yes—
171#2491C2212yes—
172#2490C2212yes—
173#2490C2212yes—
174#2489C2212yes—
175#2489C2212yes—
176#2489C2212yes—
177#2489C2212yes—
178#2489C2212yes—
179#2489C2212yes—
180#2488C2214yes—
181#2488C2214yes—
182#2488C2214yes—
183#2488C2214yes—
184#2465C2214yes—
185#2454C2211yescharacteristic
186#2454C2211yescharacteristic
187#2453C2211yescharacteristic
188#2453C2212yes—
189#2453C2212yes—
190#2453C2211yescharacteristic
191#2452C2211yescharacteristic
192#2452C2211yescharacteristic
193#2451C2212yes—
194#2451C2211yescharacteristic
195#2451C2212yes—
196#2451C2211yescharacteristic
197#2450C2212yes—
198#2450C2212yes—
199#2449C2212yes—
200#2449C2212yes—
201#2448C2212yes—
202#2448C2212yes—
203#2446C2212yes—
204#2446C2212yes—
205#2444C2214yes—
206#2443C2214yes—
207#2440C2214yes—
208#2438C2214yes—
209#2438C2214yes—
210#2429C2212yes—
211#2429C2212yes—
212#2427C2212yes—
213#2427C2212yes—
214#2425C2214yes—
215#2425C2214yes—
216#2423C2214yes—
217#2423C2212yes—
218#2423C2212yes—
219#2423C2212yes—
220#2422C2212yes—
221#2421C2212yes—
222#2421C2212yes—
223#2421C2212yes—
224#2420C2212yes—
225#2417C2212yes—
226#2417C2212yes—
227C2×#401C2212yes—
228#2396C2212yes—
229#2396C2212yes—
230#2396C2212yes—
231#2396C2212yes—
232C2×#400C2212yes—
233#2370C2212yes—
234#2370C2212yes—
235#2369C2212yes—
236#2367C2212yes—
237#2367C2212yes—
238#2365C2212yes—
239#2365C2212yes—
240#2365C2212yes—
241#2359C2214yes—
242#2359C2214yes—
243#2357C2212yes—
244#2357C2212yes—
245#2356C2212yes—
246#2356C2212yes—
247#2355C2212yes—
248#2355C2212yes—
249#2355C2212yes—
250#2353C2214yes—
251#2353C2214yes—
252Q8×C4⋊C4C2212yes—
253#2337C2214yes—
254#2335C2214yes—
255#2331C2214yes—
256#2329C2214yes—
257#2323C2212yes—
258#2323C2212yes—
259#2320C2214yes—
260#2317C2211yescharacteristic
261#2317C2211yescharacteristic
262#2316C2211yescharacteristic
263#2314C2212yes—
264#2314C2212yes—
265#2311C2211yescharacteristic
266#2311C2211yescharacteristic
267#2311C2211yescharacteristic
268#2311C2211yescharacteristic
269#2310C2211yescharacteristic
270C4×C22⋊Q8C2212yes—
271C4×C22⋊Q8C2214yes—
272C4×C22⋊Q8C2212yes—
273C4×C22⋊Q8C2212yes—
274C4×C22⋊Q8C2212yes—
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277#2297C2211yescharacteristic
278#2297C2211yescharacteristic
279#2297C2211yescharacteristic
280#2297C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283C2×#391C2211yescharacteristic
284C2×#391C2211yescharacteristic
285C2×#391C2211yescharacteristic
286C2×#389C2211yescharacteristic
287C2×#387C2212yes—
288#2285C2211yescharacteristic
289#2285C2211yescharacteristic
290#2283C2212yes—
291#2283C2212yes—
292C2×#383C2212yes—
293C2×#382C2211yescharacteristic
294#2274C2211yescharacteristic
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8C2311yescharacteristic
302#544—44no—
303#537—44no—
304#536—28no—
305#536—44no—
306#533—28no—
307#533—44no—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2311yescharacteristic
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2314yes—
317C2×#125C2311yescharacteristic
318C2×#125C2311yescharacteristic
319C2×#125C2312yes—
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2314yes—
326C2×#123C2314yes—
327C2×#123C2314yes—
328C2×#123C2314yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2312yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2312yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2312yes—
344C2×#121C2312yes—
345C2×#121C2314yes—
346C2×#121C2312yes—
347#519—44no—
348C4×#41—28no—
349C4×#41—44no—
350C2×C4×Q8C2312yes—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2312yes—
360C2×C4×Q8C2314yes—
361C2×C4×Q8C2312yes—
362C2×C4×Q8C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2311yescharacteristic
366C2×C4×D4C2311yescharacteristic
367C2×C4×D4C2311yescharacteristic
368C2×C4×D4C2312yes—
369C2×C4×D4C2311yescharacteristic
370C2×C4×D4C2312yes—
371C2×#117C2311yescharacteristic
372C2×#117C2311yescharacteristic
373C2×#117C2311yescharacteristic
374C2×#117C2311yescharacteristic
375C2×#117C2312yes—
376C2×#117C2311yescharacteristic
377C2×#117C2312yes—
378C2×#117C2314yes—
379C2×#117C2311yescharacteristic
380C22×C4⋊C4C2311yescharacteristic
381C22×C4⋊C4C2311yescharacteristic
382C22×C4⋊C4C2311yescharacteristic
383C22×C4⋊C4C2311yescharacteristic
384C22×C4⋊C4C2312yes—
385C22×C4⋊C4C2311yescharacteristic
386C22×C42C2312yes—
387C22×C42C2311yescharacteristic
388C22×C42C2311yescharacteristic
389C22×C42C2311yescharacteristic
390C22×C42C2312yes—
391C22×C42C2312yes—
392#401C2314yes—
393#401C2314yes—
394#401C2314yes—
395#401C2314yes—
396#401C2314yes—
397#401C2314yes—
398#400C2312yes—
399#400C2312yes—
400#400C2314yes—
401#400C2314yes—
402#400C2314yes—
403#400C2314yes—
404#400C2314yes—
405#400C2314yes—
406#400C2314yes—
407#400C2314yes—
408#400C2314yes—
409#400C2314yes—
410#400C2314yes—
411#400C2314yes—
412#400C2312yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2314yes—
418#400C2314yes—
419#400C2314yes—
420#400C2314yes—
421#400C2312yes—
422#400C2314yes—
423#399C2312yes—
424#399C2312yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2312yes—
429#399C2312yes—
430#398C2314yes—
431#398C2312yes—
432#398C2314yes—
433#398C2312yes—
434#398C2314yes—
435#398C2312yes—
436#398C2312yes—
437#398C2314yes—
438#398C2314yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2312yes—
446#398C2312yes—
447#398C2312yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#396C2312yes—
469#396C2312yes—
470#396C2312yes—
471#396C2312yes—
472#396C2314yes—
473#396C2312yes—
474#396C2312yes—
475#396C2314yes—
476#396C2312yes—
477#396C2312yes—
478#395C2312yes—
479#395C2312yes—
480#395C2314yes—
481#395C2314yes—
482#395C2314yes—
483#395C2314yes—
484#395C2312yes—
485#395C2314yes—
486#395C2314yes—
487#395C2312yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#393C2312yes—
495#393C2312yes—
496#393C2314yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2312yes—
503#393C2312yes—
504#391C2312yes—
505#391C2311yescharacteristic
506#391C2312yes—
507#391C2311yescharacteristic
508#391C2311yescharacteristic
509#391C2312yes—
510#391C2311yescharacteristic
511#391C2312yes—
512#391C2312yes—
513#391C2312yes—
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2312yes—
518#391C2314yes—
519#391C2311yescharacteristic
520#391C2311yescharacteristic
521#391C2314yes—
522#391C2312yes—
523#391C2312yes—
524#391C2314yes—
525#391C2314yes—
526#391C2312yes—
527#391C2312yes—
528#391C2312yes—
529#391C2314yes—
530#391C2314yes—
531#391C2314yes—
532#391C2312yes—
533#391C2314yes—
534#391C2312yes—
535#391C2314yes—
536#391C2314yes—
537#391C2314yes—
538#391C2314yes—
539#391C2312yes—
540#391C2312yes—
541#391C2312yes—
542#391C2312yes—
543#391C2312yes—
544#391C2311yescharacteristic
545#391C2311yescharacteristic
546#391C2312yes—
547#391C2312yes—
548#390C2311yescharacteristic
549#390C2311yescharacteristic
550#390C2311yescharacteristic
551#390C2311yescharacteristic
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2314yes—
557#390C2311yescharacteristic
558#390C2311yescharacteristic
559#390C2311yescharacteristic
560#390C2311yescharacteristic
561#389C2311yescharacteristic
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2314yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2314yes—
576#389C2314yes—
577#389C2311yescharacteristic
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2311yescharacteristic
582#389C2314yes—
583#389C2312yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2312yes—
588#389C2314yes—
589#389C2314yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2311yescharacteristic
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#387C2312yes—
631#387C2312yes—
632#387C2312yes—
633#387C2312yes—
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#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2312yes—
665#387C2312yes—
666#387C2312yes—
667#387C2312yes—
668#386C2312yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2312yes—
680#386C2312yes—
681#386C2312yes—
682#386C2312yes—
683#385C2312yes—
684#385C2312yes—
685#385C2312yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2312yes—
693#385C2312yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2312yes—
700#384C2311yescharacteristic
701#384C2311yescharacteristic
702#384C2312yes—
703#384C2311yescharacteristic
704#384C2311yescharacteristic
705#384C2314yes—
706#384C2312yes—
707#383C2314yes—
708#383C2314yes—
709#383C2314yes—
710#383C2314yes—
711#383C2314yes—
712#383C2314yes—
713#383C2314yes—
714#383C2314yes—
715#382C2311yescharacteristic
716#382C2311yescharacteristic
717#382C2312yes—
718#382C2311yescharacteristic
719#382C2311yescharacteristic
720#382C2314yes—
721#382C2314yes—
722#382C2314yes—
723#382C2314yes—
724#382C2312yes—
725#382C2312yes—
726#382C2314yes—
727#382C2312yes—
728#382C2312yes—
729#382C2312yes—
730#381C2314yes—
731#381C2314yes—
732#381C2314yes—
733#381C2314yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2312yes—
752#380C2312yes—
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2311yescharacteristic
755C4×C4⋊C4C2311yescharacteristic
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2312yes—
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2312yes—
765C4×C4⋊C4C2312yes—
766C4×C4⋊C4C2314yes—
767C4×C4⋊C4C2312yes—
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2314yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2314yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2314yes—
792C4×C22⋊C4C2314yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2312yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2312yes—
805#376C2314yes—
806#376C2314yes—
807C2×#95C2311yescharacteristic
808C2×#95C2311yescharacteristic
809C2×#95C2312yes—
810C2×#95C2312yes—
811C2×#95C2312yes—
812C2×#95C2312yes—
813C2×#95C2312yes—
814C2×#95C2312yes—
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2312yes—
818C2×#95C2312yes—
819C2×#41—24no—
820C2×#41—24no—
821C2×#41—24no—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—24no—
825C22×Q8—24no—
826C22×Q8—24no—
827C22×Q8—24no—
828C22×Q8C2412yes—
829C22×Q8C2412yes—
830C22×Q8C2411yescharacteristic
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×Q8C2412yes—
836C22×Q8C2414yes—
837C22×D4C2412yes—
838C22×D4C2412yes—
839C22×D4C2411yescharacteristic
840C22×D4C2411yescharacteristic
841C22×D4C2414yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2411yescharacteristic
859C4⋊Q8—24no—
860C4⋊Q8—24no—
861C4⋊Q8—28no—
862C4⋊Q8—42no—
863C4⋊Q8—42no—
864C4⋊Q8—44no—
865C4⋊Q8—44no—
866C4⋊Q8—44no—
867C4⋊Q8—48no—
868#125—24no—
869#125—24no—
870#125—42no—
871#125—42no—
872#125—44no—
873#125—44no—
874#124—28no—
875#124—48no—
876#124—44no—
877#123—216no—
878#123—48no—
879#123—48no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—28no—
883C22⋊Q8—28no—
884C22⋊Q8—44no—
885C22⋊Q8—44no—
886C22⋊Q8—48no—
887C22⋊Q8—44no—
888C22⋊Q8—44no—
889C22⋊Q8—44no—
890C22⋊Q8—44no—
891C22⋊Q8—44no—
892C22⋊Q8—44no—
893C22⋊Q8—44no—
894C22⋊Q8—44no—
895#121—44no—
896#121—44no—
897#121—48no—
898C4×Q8—24no—
899C4×Q8—24no—
900C4×Q8—28no—
901C4×Q8—28no—
902C4×Q8—44no—
903C4×Q8—44no—
904C4×Q8—48no—
905C4×Q8—42no—
906C4×Q8—42no—
907C4×Q8—44no—
908C4×Q8—44no—
909C4×Q8—44no—
910C4×Q8—44no—
911C4×D4—24no—
912C4×D4—24no—
913C4×D4—28no—
914C4×D4—28no—
915C4×D4—42no—
916C4×D4—42no—
917C4×D4—44no—
918C4×D4—44no—
919#117—24no—
920#117—24no—
921#117—24no—
922#117—24no—
923#117—24no—
924#117—28no—
925#117—44no—
926#117—48no—
927#117#4118yes—
928C2×C4⋊C4—24no—
929C2×C4⋊C4—24no—
930C2×C4⋊C4—24no—
931C2×C4⋊C4—42no—
932C2×C4⋊C4—42no—
933C2×C4⋊C4—44no—
934C2×C4⋊C4C2412yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2411yescharacteristic
937C2×C4⋊C4C2411yescharacteristic
938C2×C4⋊C4C2411yescharacteristic
939C2×C4⋊C4C2411yescharacteristic
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2411yescharacteristic
946C2×C4⋊C4C2411yescharacteristic
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2412yes—
949C2×C4⋊C4C2411yescharacteristic
950C2×C4⋊C4C2411yescharacteristic
951C2×C4⋊C4C2411yescharacteristic
952C2×C4⋊C4C2411yescharacteristic
953C2×C4⋊C4C2411yescharacteristic
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2411yescharacteristic
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2414yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2414yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C22⋊C4C2412yes—
1011C2×C22⋊C4C2412yes—
1012C2×C22⋊C4C2412yes—
1013C2×C22⋊C4C2412yes—
1014C2×C22⋊C4C2412yes—
1015C2×C22⋊C4C2412yes—
1016C2×C22⋊C4C2412yes—
1017C2×C22⋊C4C2412yes—
1018C2×C22⋊C4C2414yes—
1019C2×C22⋊C4C2414yes—
1020C2×C22⋊C4C2412yes—
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2414yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2412yes—
1029C2×C22⋊C4C2412yes—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
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⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C42—24no—
1051C2×C42—24no—
1052C2×C42—24no—
1053C2×C42—28no—
1054C2×C42—44no—
1055C2×C42—44no—
1056C2×C42C2412yes—
1057C2×C42C2411yescharacteristic
1058C2×C42C2411yescharacteristic
1059C2×C42C2412yes—
1060C2×C42C2412yes—
1061C2×C42C2412yes—
1062C2×C42C2412yes—
1063C2×C42C2411yescharacteristic
1064C2×C42C2411yescharacteristic
1065C2×C42C2412yes—
1066C2×C42C2412yes—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2411yescharacteristic
1071C2×C42C2411yescharacteristic
1072C2×C42C2414yes—
1073C2×C42C2411yescharacteristic
1074C2×C42C2411yescharacteristic
1075C2×C42C2411yescharacteristic
1076C2×C42C2414yes—
1077C2×C42C2414yes—
1078C2×C42C2412yes—
1079C2×C42C2412yes—
1080C2×C42C2414yes—
1081C2×C42C2414yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2414yes—
1087C2×C42C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2411yescharacteristic
1093#95C2411yescharacteristic
1094#95C2411yescharacteristic
1095#95C2411yescharacteristic
1096#95C2411yescharacteristic
1097#95C2411yescharacteristic
1098#95C2411yescharacteristic
1099#95C2414yes—
1100#95C2414yes—
1101#95C2411yescharacteristic
1102#95C2414yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2412yes—
1117#95C2412yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2412yes—
1123#95C2412yes—
1124#95C2412yes—
1125#95C2412yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
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#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172C24C2512yes—
1173C24C2512yes—
1174C24C2511yescharacteristic
1175#41—416no—
1176#41—416no—
1177C2×Q8—22no—
1178C2×Q8—24no—
1179C2×Q8—24no—
1180C2×Q8—24no—
1181C2×Q8—22no—
1182C2×Q8—24no—
1183C2×Q8—24no—
1184C2×Q8—22no—
1185C2×Q8—24no—
1186C2×Q8—22no—
1187C2×Q8—24no—
1188C2×Q8—24no—
1189C2×Q8—22no—
1190C2×Q8—22no—
1191C2×Q8—24no—
1192C2×Q8—24no—
1193C2×Q8—42no—
1194C2×Q8—42no—
1195C2×Q8—42no—
1196C2×Q8—42no—
1197C2×Q8—42no—
1198C2×Q8—42no—
1199C2×Q8—42no—
1200C2×Q8—42no—
1201C2×Q8—44no—
1202C2×Q8—44no—
1203C2×Q8—44no—
1204C2×Q8—416no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—24no—
1211C2×D4—22no—
1212C2×D4—22no—
1213C2×D4—22no—
1214C2×D4—22no—
1215C2×D4—22no—
1216C2×D4—22no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—44no—
1220C22×C4—22no—
1221C22×C4—24no—
1222C22×C4—22no—
1223C22×C4—24no—
1224C22×C4—24no—
1225C22×C4—22no—
1226C22×C4—22no—
1227C22×C4—22no—
1228C22×C4—22no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—24no—
1234C22×C4—24no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—22no—
1239C22×C4—22no—
1240C22×C4—24no—
1241C22×C4—24no—
1242C22×C4—24no—
1243C22×C4—41no—
1244C22×C4—41no—
1245C22×C4—42no—
1246C22×C4—42no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—41no—
1251C22×C4—41no—
1252C22×C4—41no—
1253C22×C4—42no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—42no—
1258C22×C4—42no—
1259C22×C4—42no—
1260C22×C4—42no—
1261C22×C4—42no—
1262C22×C4—41no—
1263C22×C4—42no—
1264C22×C4—41no—
1265C22×C4—41no—
1266C22×C4—41no—
1267C22×C4—41no—
1268C22×C4C2×#4114yes—
1269C22×C4H(5,𝔽2)14yes—
1270C22×C42−1+414yes—
1271C22×C4C2514yes—
1272C22×C4C2511yescharacteristic
1273C22×C4C2511yescharacteristic
1274C22×C4C2514yes—
1275C22×C4C2511yescharacteristic
1276C22×C4C2511yescharacteristic
1277C22×C4C2514yes—
1278C22×C4C2511yescharacteristic
1279C22×C4C2512yes—
1280C22×C4C2512yes—
1281C22×C4C2511yescharacteristic
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2511yescharacteristic
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2512yes—
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2514yes—
1292C22×C4C2512yes—
1293C22×C4C2512yes—
1294C22×C4C2512yes—
1295C22×C4C2512yes—
1296C22×C4C2511yescharacteristic
1297C22×C4C2512yes—
1298C22×C4C2512yes—
1299C22×C4C2511yescharacteristic
1300C22×C4C2511yescharacteristic
1301C22×C4C2511yescharacteristic
1302C22×C4C2511yescharacteristic
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—22no—
1306C4⋊C4—22no—
1307C4⋊C4—24no—
1308C4⋊C4—24no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—24no—
1312C4⋊C4—24no—
1313C4⋊C4—28no—
1314C4⋊C4—28no—
1315C4⋊C4—24no—
1316C4⋊C4—24no—
1317C4⋊C4—22no—
1318C4⋊C4—22no—
1319C4⋊C4—22no—
1320C4⋊C4—22no—
1321C4⋊C4—22no—
1322C4⋊C4—22no—
1323C4⋊C4—22no—
1324C4⋊C4—22no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—22no—
1330C4⋊C4—22no—
1331C4⋊C4—22no—
1332C4⋊C4—22no—
1333C4⋊C4—28no—
1334C4⋊C4—24no—
1335C4⋊C4—24no—
1336C4⋊C4—41no—
1337C4⋊C4—41no—
1338C4⋊C4—44no—
1339C4⋊C4—41no—
1340C4⋊C4—41no—
1341C4⋊C4—42no—
1342C4⋊C4—42no—
1343C4⋊C4—42no—
1344C4⋊C4—42no—
1345C4⋊C4—42no—
1346C4⋊C4—42no—
1347C4⋊C4—42no—
1348C4⋊C4—44no—
1349C4⋊C4—42no—
1350C4⋊C4—42no—
1351C4⋊C4—42no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—42no—
1357C4⋊C4—42no—
1358C4⋊C4—42no—
1359C4⋊C4—42no—
1360C4⋊C4—42no—
1361C4⋊C4—42no—
1362C4⋊C4—44no—
1363C4⋊C4—42no—
1364C4⋊C4—42no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—44no—
1370C4⋊C4—44no—
1371C4⋊C4—44no—
1372C4⋊C4—44no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4C2×#4114yes—
1378C4⋊C4C2×#4114yes—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—24no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—24no—
1389C22⋊C4—24no—
1390C22⋊C4—24no—
1391C22⋊C4—44no—
1392C22⋊C4—44no—
1393C22⋊C4—42no—
1394C22⋊C4—42no—
1395C22⋊C4—42no—
1396C22⋊C4—44no—
1397C22⋊C4—44no—
1398C22⋊C4—42no—
1399C22⋊C4—42no—
1400C22⋊C4—42no—
1401C22⋊C4—42no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—42no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—42no—
1408C22⋊C4—42no—
1409C22⋊C4—42no—
1410C22⋊C4—42no—
1411C22⋊C4—42no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4C2×#4118yes—
1419C42—22no—
1420C42—22no—
1421C42—22no—
1422C42—22no—
1423C42—24no—
1424C42—24no—
1425C42—22no—
1426C42—22no—
1427C42—22no—
1428C42—22no—
1429C42—24no—
1430C42—22no—
1431C42—22no—
1432C42—22no—
1433C42—22no—
1434C42—24no—
1435C42—24no—
1436C42—24no—
1437C42—24no—
1438C42—28no—
1439C42—44no—
1440C42—42no—
1441C42—42no—
1442C42—44no—
1443C42—44no—
1444C42—44no—
1445C42—44no—
1446C42—44no—
1447C42—44no—
1448C42—44no—
1449C42—44no—
1450C42C2×#4118yes—
1451C23—21no—
1452C23—21no—
1453C23—21no—
1454C23—21no—
1455C23—22no—
1456C23—22no—
1457C23—22no—
1458C23—22no—
1459C23—22no—
1460C23—22no—
1461C23—22no—
1462C23—22no—
1463C23—22no—
1464C23—22no—
1465C23—22no—
1466C23—22no—
1467C23—22no—
1468C23—22no—
1469C23C22×#4112yes—
1470C23C2×H(5,𝔽2)12yes—
1471C23C2×2−1+412yes—
1472C23C2611yescharacteristic
1473Q8—48no—
1474Q8—48no—
1475Q8—48no—
1476Q8—44no—
1477Q8—44no—
1478Q8—84no—
1479Q8—84no—
1480Q8—84no—
1481Q8—164no—
1482D4—48no—
1483D4—48no—
1484D4—44no—
1485D4—44no—
1486D4—164no—
1487C2×C4—21no—
1488C2×C4—21no—
1489C2×C4—22no—
1490C2×C4—22no—
1491C2×C4—21no—
1492C2×C4—22no—
1493C2×C4—22no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—22no—
1502C2×C4—21no—
1503C2×C4—22no—
1504C2×C4—22no—
1505C2×C4—24no—
1506C2×C4—22no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—22no—
1515C2×C4—22no—
1516C2×C4—22no—
1517C2×C4—22no—
1518C2×C4—22no—
1519C2×C4—24no—
1520C2×C4—24no—
1521C2×C4—22no—
1522C2×C4—24no—
1523C2×C4—24no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—24no—
1527C2×C4—24no—
1528C2×C4—24no—
1529C2×C4—21no—
1530C2×C4—22no—
1531C2×C4—22no—
1532C2×C4—22no—
1533C2×C4—22no—
1534C2×C4—24no—
1535C2×C4—22no—
1536C2×C4—22no—
1537C2×C4—22no—
1538C2×C4—21no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—21no—
1542C2×C4—21no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—21no—
1547C2×C4—21no—
1548C2×C4—24no—
1549C2×C4—21no—
1550C2×C4—24no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—24no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—21no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—44no—
1574C2×C4—44no—
1575C2×C4—48no—
1576C2×C4—48no—
1577C2×C4—48no—
1578C2×C4—84no—
1579C2×C4—84no—
1580C2×C4—84no—
1581C2×C4—82no—
1582C2×C4—82no—
1583C2×C4—82no—
1584C2×C4—84no—
1585C2×C4—82no—
1586C2×C4—84no—
1587C2×C4—84no—
1588C2×C4—84no—
1589C2×C4#542116yes—
1590C2×C4C22×#4114yes—
1591C2×C4C22×#4114yes—
1592C2×C4C22×#4112yes—
1593C2×C4C22×#4112yes—
1594C2×C4C2×H(5,𝔽2)12yes—
1595C2×C4C2×H(5,𝔽2)12yes—
1596C2×C4C2×2−1+412yes—
1597C2×C4C2×2−1+412yes—
1598C2×C4#58512yes—
1599C2×C4#58512yes—
1600C22—22no—
1601C22—22no—
1602C22—22no—
1603C22—22no—
1604C22—22no—
1605C22—22no—
1606C22—42no—
1607C22—42no—
1608C22—42no—
1609C22—42no—
1610C22—42no—
1611C22—42no—
1612C22—42no—
1613C22—42no—
1614C22—42no—
1615C22—42no—
1616C22—42no—
1617C22—42no—
1618C22—42no—
1619C22—42no—
1620C22C2×#54214yes—
1621C22C23×#4111yescharacteristic
1622C22C22×H(5,𝔽2)11yescharacteristic
1623C22C22×2−1+411yescharacteristic
1624C22C2×#58511yescharacteristic
1625C22C2×#58511yescharacteristic
1626C222−1+611yescharacteristic
1627C222−1+611yescharacteristic
1628C4—22no—
1629C4—24no—
1630C4—24no—
1631C4—22no—
1632C4—41no—
1633C4—41no—
1634C4—41no—
1635C4—42no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—42no—
1641C4—41no—
1642C4—42no—
1643C4—44no—
1644C4—42no—
1645C4—42no—
1646C4—42no—
1647C4—42no—
1648C4—42no—
1649C4—41no—
1650C4—41no—
1651C4—42no—
1652C4—42no—
1653C4—44no—
1654C4—44no—
1655C4—42no—
1656C4—42no—
1657C4—44no—
1658C4C2×#54214yes—
1659C4C2×#54214yes—
1660C2—24no—
1661C2—82no—
1662C2—82no—
1663C2C22×#54211yescharacteristic
1664C2#6283011yescharacteristic
1665C2#6288811yescharacteristic
1666C2#6293211yescharacteristic
1667C2#6293211yescharacteristic
1668C2#6299311yescharacteristic
1669C2#6300911yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#537C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42779C2semidirect
2. #42770C2semidirect
3. #42725C2semidirect
4. #42672C2semidirect
5. #42672C2semidirect
6. #42659C2semidirect
7. #42542C2semidirect
8. #42457C2semidirect
9. #41514C2semidirect
10. #41451C2semidirect
11. #40222C2semidirect
12. #40071C2semidirect
13. #39930C2semidirect
14. #39905C2semidirect
15. #39792C2semidirect
16. #39159C2semidirect
17. #39007C2semidirect
18. #38933C2semidirect
19. #38611C2semidirect
20. #37915C2semidirect
21. #35673C2semidirect
22. #35668C2semidirect
23. #35629C2semidirect
24. #35628C2semidirect
25. #35628C2semidirect
26. #35566C2semidirect
30. #34947C2semidirect
31. C2×#2514C2semidirect
32. #34745C2semidirect
33. #34268C2semidirect
34. #34213C2semidirect
35. #34189C2semidirect

Maximal subgroups

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

subgroupindex
#427792
#427702
#427252
#426722
#426592
#425422
#424572
#415142
#414512
#402222
#400712
#399302
#399052
#397922
#391592
#390072
#389332
#386112
#379152
#356732
#356682
#356292
#356282
#355662
#353082
#352552
#351582
#349472
C2×#25142
#347452
#342682
#342132
#341892