Finite Group Databasebeta

← #7682778

Subgroups — #7682778

Order 512.

5470 conjugacy classes of subgroups.

The subgroup lattice has 1736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59919C212yesmaximal, complemented
2#59831C212yesmaximal, complemented
3#59771C212yesmaximal, complemented
4#59461C212yesmaximal, complemented
5#59460C212yesmaximal, complemented
6#59458C212yesmaximal, complemented
7#59457C212yesmaximal, complemented
8#59455C212yesmaximal, complemented
9#59320C214yesmaximal, complemented
10#59016C214yesmaximal, complemented
11#45361C212yesmaximal, complemented
12#45360C212yesmaximal, complemented
13#45213C212yesmaximal, complemented
14#45059C212yesmaximal, complemented
15#44952C212yesmaximal, complemented
16#44952C212yesmaximal, complemented
17#44946C212yesmaximal, complemented
18#44943C212yesmaximal, complemented
19#43081C214yesmaximal, complemented
20#43055C214yesmaximal, complemented
21#35575C211yesmaximal, characteristic, complemented
22#35574C211yesmaximal, characteristic, complemented
23#35566C211yesmaximal, characteristic, complemented
24#35543C211yesmaximal, characteristic, complemented
25#35529C211yesmaximal, characteristic, complemented
26#35515C211yesmaximal, characteristic, complemented
27#34947C211yesmaximal, characteristic, complemented
28#34815C211yesmaximal, characteristic, complemented
29C2×#2452C211yesmaximal, characteristic, complemented
30#34275C211yesmaximal, characteristic
31#34269C211yesmaximal, characteristic
32#34265C211yesmaximal, characteristic
33#34250C211yesmaximal, characteristic, complemented
34#34216C211yesmaximal, characteristic, complemented
35#34181C211yesmaximal, characteristic, complemented
36C2×#554C2214yescomplemented
37C2×#544C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C22×C4⋊Q8C2211yescharacteristic
41C22×C22⋊Q8C2212yes—
42C2×#520C2211yescharacteristic
43C2×#520C2211yescharacteristic
44C2×#518C2211yescharacteristic
45C2×#518C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic
47C22×C4×D4C2211yescharacteristic
48#2804C2214yescomplemented
49#2804C2214yescomplemented
50#2790C2214yescomplemented
51#2790C2214yescomplemented
52#2788C2214yescomplemented
53#2788C2214yescomplemented
54#2788C2214yescomplemented
55#2784C2214yescomplemented
56#2784C2214yescomplemented
57#2780C2214yescomplemented
58#2780C2214yescomplemented
59#2780C2214yescomplemented
60#2780C2214yescomplemented
61#2768C2214yescomplemented
62#2763C2214yescomplemented
63#2763C2214yescomplemented
64#2729C2214yescomplemented
65#2720C2214yescomplemented
66#2704C2214yescomplemented
67#2704C2214yescomplemented
68#2692C2214yescomplemented
69#2692C2214yescomplemented
70#2692C2214yescomplemented
71#2692C2214yescomplemented
72#2589C2214yescomplemented
73#2589C2214yescomplemented
74#2587C2214yescomplemented
75#2587C2214yescomplemented
76#2584C2212yescomplemented
77#2584C2212yescomplemented
78#2583C2214yescomplemented
79#2580C2212yes—
80#2580C2212yes—
81#2580C2214yescomplemented
82#2580C2214yescomplemented
83#2579C2214yes—
84#2579C2214yescomplemented
85#2579C2214yescomplemented
86#2574C2214yescomplemented
87#2574C2214yescomplemented
88#2571C2212yescomplemented
89#2570C2212yescomplemented
90#2570C2212yescomplemented
91#2568C2211yescharacteristic, complemented
92#2567C2212yescomplemented
93#2567C2211yescharacteristic, complemented
94#2566C2212yes—
95#2566C2212yes—
96#2566C2214yescomplemented
97#2566C2211yescharacteristic, complemented
98#2566C2211yescharacteristic, complemented
99#2565C2211yescharacteristic, complemented
100#2565C2211yescharacteristic, complemented
101#2564C2214yes—
102#2564C2212yes—
103#2564C2212yes—
104#2563C2212yes—
105#2563C2211yescharacteristic, complemented
106#2552C2212yescomplemented
107#2552C2212yescomplemented
108#2551C2212yescomplemented
109#2550C2212yescomplemented
110#2550C2212yescomplemented
111#2549C2214yes—
112#2549C2214yescomplemented
113#2549C2214yescomplemented
114#2546C2212yescomplemented
115#2542C2212yes—
116#2542C2211yescharacteristic, complemented
117#2538C2212yes—
118#2538C2212yes—
119#2538C2214yescomplemented
120#2522C2214yescomplemented
121#2522C2214yescomplemented
122#2509C2211yescharacteristic, complemented
123#2509C2212yescomplemented
124#2509C2211yescharacteristic, complemented
125#2508C2212yescomplemented
126#2508C2211yescharacteristic, complemented
127#2508C2211yescharacteristic, complemented
128#2507C2211yescharacteristic, complemented
129#2507C2212yescomplemented
130#2507C2211yescharacteristic, complemented
131#2506C2212yescomplemented
132#2506C2211yescharacteristic, complemented
133#2506C2211yescharacteristic, complemented
134#2505C2214yes—
135#2505C2212yes—
136#2505C2212yes—
137#2505C2214yescomplemented
138#2502C2214yescomplemented
139#2492C2214yescomplemented
140#2473C2212yes—
141#2473C2212yes—
142#2473C2214yes—
143#2473C2214yescomplemented
144#2465C2214yescomplemented
145#2465C2214yescomplemented
146#2454C2212yes—
147#2454C2212yes—
148#2454C2212yes—
149#2454C2212yes—
150#2454C2212yescomplemented
151#2454C2214yescomplemented
152#2453C2212yescomplemented
153#2452C2212yes—
154#2452C2212yes—
155#2452C2212yes—
156#2452C2212yes—
157#2452C2212yes—
158#2452C2212yes—
159#2452C2212yes—
160#2452C2212yes—
161#2452C2212yes—
162#2452C2212yes—
163#2452C2212yes—
164#2452C2212yes—
165#2452C2214yescomplemented
166#2452C2212yescomplemented
167#2452C2212yescomplemented
168#2452C2212yescomplemented
169#2451C2212yescomplemented
170#2451C2212yescomplemented
171#2451C2212yescomplemented
172#2450C2214yescomplemented
173#2450C2214yescomplemented
174#2450C2214yescomplemented
175#2450C2214yescomplemented
176#2450C2214yescomplemented
177#2450C2214yescomplemented
178#2449C2214yescomplemented
179#2449C2214yescomplemented
180#2442C2212yescomplemented
181#2441C2212yescomplemented
182#2440C2214yes—
183#2440C2212yescomplemented
184#2440C2212yescomplemented
185#2440C2212yescomplemented
186#2439C2212yescomplemented
187#2439C2212yescomplemented
188#2439C2212yescomplemented
189#2437C2214yes—
190#2437C2214yes—
191#2437C2214yes—
192#2437C2214yes—
193#2423C2214yescomplemented
194#2417C2212yes—
195#2417C2212yes—
196#2417C2214yes—
197#2417C2214yescomplemented
198#2417C2214yescomplemented
199#2409C2214yes—
200#2402C2212yescomplemented
201#2402C2212yescomplemented
202#2396C2212yescomplemented
203#2396C2212yescomplemented
204C2×#396C2212yes—
205C2×#393C2212yes—
206#2369C2212yescomplemented
207#2369C2212yescomplemented
208#2368C2214yescomplemented
209#2367C2212yes—
210#2367C2212yes—
211#2367C2212yes—
212#2367C2212yes—
213#2366C2212yes—
214#2366C2212yes—
215#2366C2212yes—
216#2366C2212yes—
217#2365C2212yescomplemented
218#2365C2212yescomplemented
219#2363C2212yes—
220#2363C2212yes—
221#2363C2212yes—
222#2363C2212yes—
223#2361C2212yes—
224#2361C2212yes—
225#2361C2212yes—
226#2361C2212yes—
227#2360C2214yescomplemented
228#2358C2214yes—
229#2358C2214yes—
230#2358C2214yes—
231#2358C2214yes—
232#2351C2212yescomplemented
233Q8×C4⋊C4C2212yescomplemented
234#2349C2212yes—
235#2349C2212yes—
236#2349C2212yes—
237#2349C2212yes—
238#2349C2214yes—
239#2349C2214yescomplemented
240#2349C2212yescomplemented
241D4×C4⋊C4C2212yes—
242D4×C4⋊C4C2212yes—
243D4×C4⋊C4C2214yes—
244D4×C4⋊C4C2212yes—
245D4×C4⋊C4C2212yes—
246D4×C4⋊C4C2212yescomplemented
247#2345C2214yes—
248Q8×C22⋊C4C2214yes—
249#2331C2212yescomplemented
250#2331C2212yescomplemented
251#2328C2212yes—
252#2326C2212yes—
253#2324C2212yes—
254#2324C2212yes—
255#2321C2214yes—
256#2317C2211yescharacteristic
257#2317C2211yescharacteristic
258#2317C2211yescharacteristic
259#2317C2212yescomplemented
260#2316C2211yescharacteristic
261#2316C2211yescharacteristic
262#2316C2211yescharacteristic
263#2316C2212yescomplemented
264#2315C2214yes—
265#2311C2211yescharacteristic
266#2309C2211yescharacteristic
267C4×C4⋊Q8C2212yescomplemented
268C4×C4⋊Q8C2212yescomplemented
269C4×#127C2212yes—
270C4×#125C2212yescomplemented
271C4×#125C2212yescomplemented
272C4×#124C2212yes—
273C4×C22⋊Q8C2212yescomplemented
274C4×C22⋊Q8C2212yescomplemented
275C4×#121C2212yes—
276C4×#121C2212yes—
277C4×#120C2214yes—
278#2297C2211yescharacteristic
279#2297C2211yescharacteristic
280#2296C2211yescharacteristic
281#2296C2211yescharacteristic
282#2296C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2212yescomplemented
285C2×#390C2211yescharacteristic
286C2×#390C2211yescharacteristic
287C2×#389C2211yescharacteristic
288C2×#389C2211yescharacteristic
289C2×#389C2212yescomplemented
290C2×#385C2212yes—
291#2285C2211yescharacteristic
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294C2×#380C2214yes—
295#2274C2211yescharacteristic
296#2274C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2312yes—
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#554—416no—
304#544—44no—
305#535Q8116yescomplemented
306#533—44no—
307C2×C4⋊Q8—28no—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2314yes—
317C2×#127C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#125C2311yescharacteristic
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#124C2312yes—
326C2×C22⋊Q8—48no—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2312yes—
329C2×C22⋊Q8C2312yes—
330C2×C22⋊Q8C2314yes—
331C2×C22⋊Q8C2314yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2312yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2312yes—
339C2×C22⋊Q8C2314yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2314yes—
342C2×C22⋊Q8C2314yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#120C2314yes—
346#520—28no—
347#520—44no—
348#518—44no—
349#518—44no—
350C4×#41—44no—
351C2×C4×Q8C2312yes—
352C2×C4×Q8C2314yes—
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2311yescharacteristic
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2314yes—
359C2×C4×D4—28no—
360C2×C4×D4C2314yes—
361C2×C4×D4C2312yes—
362C2×C4×D4C2312yes—
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2314yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2312yes—
371C2×C4×D4C2311yescharacteristic
372C2×C4×D4C2312yes—
373C2×C4×D4C2314yes—
374C2×C4×D4C2312yes—
375C2×C4×D4C2311yescharacteristic
376C2×C4×D4C2314yes—
377C2×C4×D4C2312yes—
378C2×C4×D4C2312yes—
379C2×C4×D4C2312yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2314yes—
386C2×#117C2311yescharacteristic
387C2×#117C2311yescharacteristic
388C2×#117C2311yescharacteristic
389C2×#117C2311yescharacteristic
390C2×#117C2311yescharacteristic
391C2×#117C2311yescharacteristic
392C2×#117C2312yes—
393C2×#117C2312yes—
394C2×#117C2312yes—
395C2×#117C2311yescharacteristic
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2312yes—
398C22×C4⋊C4C2311yescharacteristic
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2311yescharacteristic
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2314yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2314yes—
405C22×C4⋊C4C2311yescharacteristic
406C22×C4⋊C4C2312yes—
407C22×C4⋊C4C2314yes—
408C22×C4⋊C4C2311yescharacteristic
409C22×C22⋊C4C2312yes—
410C22×C22⋊C4C2314yes—
411C22×C22⋊C4C2314yes—
412C22×C22⋊C4C2312yes—
413C22×C22⋊C4C2312yes—
414C22×C22⋊C4C2312yes—
415C22×C22⋊C4C2312yes—
416C22×C42C2311yescharacteristic
417C22×C42C2311yescharacteristic
418C22×C42C2311yescharacteristic
419C22×C42C2312yes—
420#400C2312yes—
421#400C2312yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2312yes—
428#400C2312yes—
429#400C2312yes—
430#400C2312yes—
431#400C2312yes—
432#400C2312yes—
433#400C2312yes—
434#400C2312yes—
435#399C2312yes—
436#399C2314yes—
437#399C2312yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#398C2312yes—
443#398C2312yes—
444#398C2312yes—
445#398C2312yes—
446#398C2314yes—
447#398C2314yes—
448#398C2312yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2312yes—
453#398C2312yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2312yes—
459#398C2312yes—
460#398C2312yes—
461#398C2312yes—
462#398C2312yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#396C2314yes—
467#396C2314yes—
468#396C2314yes—
469#396C2314yes—
470#396C2312yes—
471#396C2314yes—
472#396C2314yes—
473#396C2312yes—
474#396C2312yes—
475#396C2312yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#395C2312yes—
487#395C2312yes—
488#395C2314yes—
489#395C2314yes—
490#395C2314yes—
491#395C2314yes—
492#395C2314yes—
493#395C2314yes—
494#395C2314yes—
495#393C2314yes—
496#393C2314yes—
497#393C2312yes—
498#393C2312yes—
499#393C2314yes—
500#393C2314yes—
501#393C2314yes—
502#393C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2314yes—
507#393C2314yes—
508#391C2314yes—
509#391C2314yes—
510#391C2311yescharacteristic
511#391C2311yescharacteristic
512#391C2311yescharacteristic
513#391C2311yescharacteristic
514#391C2312yes—
515#391C2314yes—
516#391C2312yes—
517#391C2312yes—
518#391C2314yes—
519#391C2314yes—
520#391C2314yes—
521#391C2314yes—
522#391C2314yes—
523#391C2314yes—
524#391C2314yes—
525#391C2314yes—
526#390C2311yescharacteristic
527#390C2312yes—
528#390C2314yes—
529#390C2314yes—
530#390C2312yes—
531#390C2312yes—
532#390C2311yescharacteristic
533#390C2311yescharacteristic
534#390C2312yes—
535#390C2312yes—
536#390C2312yes—
537#390C2314yes—
538#390C2314yes—
539#390C2311yescharacteristic
540#390C2312yes—
541#390C2314yes—
542#390C2312yes—
543#390C2314yes—
544#390C2312yes—
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#389C2312yes—
550#389C2312yes—
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2314yes—
558#389C2314yes—
559#389C2311yescharacteristic
560#389C2312yes—
561#389C2312yes—
562#389C2312yes—
563#389C2312yes—
564#389C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2314yes—
570#389C2312yes—
571#389C2312yes—
572#389C2312yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2311yescharacteristic
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2311yescharacteristic
584#389C2311yescharacteristic
585#389C2311yescharacteristic
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2314yes—
590#389C2311yescharacteristic
591#389C2314yes—
592#389C2314yes—
593#389C2312yes—
594#389C2314yes—
595#389C2312yes—
596#389C2314yes—
597#389C2312yes—
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2311yescharacteristic
603#389C2311yescharacteristic
604#389C2312yes—
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2312yes—
608#389C2311yescharacteristic
609#389C2311yescharacteristic
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#387C2312yes—
623#387C2312yes—
624#387C2312yes—
625#387C2312yes—
626#387C2312yes—
627#387C2312yes—
628#387C2312yes—
629#387C2312yes—
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#386C2312yes—
647#386C2314yes—
648#386C2312yes—
649#386C2312yes—
650#386C2312yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#385C2312yes—
664#385C2314yes—
665#385C2312yes—
666#385C2312yes—
667#385C2312yes—
668#385C2314yes—
669#385C2314yes—
670#385C2314yes—
671#385C2314yes—
672#385C2314yes—
673#385C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2312yes—
689#385C2312yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2312yes—
703#385C2314yes—
704#385C2312yes—
705#385C2314yes—
706#385C2312yes—
707#385C2312yes—
708#385C2314yes—
709#385C2312yes—
710#385C2314yes—
711#385C2312yes—
712#384C2312yes—
713#384C2311yescharacteristic
714#384C2311yescharacteristic
715#384C2311yescharacteristic
716#384C2312yes—
717#384C2311yescharacteristic
718#384C2314yes—
719#384C2312yes—
720#384C2314yes—
721#384C2311yescharacteristic
722#384C2311yescharacteristic
723#382C2312yes—
724#382C2312yes—
725#382C2311yescharacteristic
726#382C2312yes—
727#382C2311yescharacteristic
728#382C2311yescharacteristic
729#382C2311yescharacteristic
730#382C2314yes—
731#382C2312yes—
732#382C2312yes—
733#382C2314yes—
734#382C2311yescharacteristic
735#382C2311yescharacteristic
736#380C2314yes—
737#380C2314yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2312yes—
744#380C2312yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2314yes—
749#380C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2314yes—
756#380C2314yes—
757#380C2314yes—
758#380C2312yes—
759#380C2314yes—
760#379C2314yes—
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⋊C4C2312yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2311yescharacteristic
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2314yes—
813#376C2312yes—
814C2×#95C2311yescharacteristic
815C2×#95C2312yes—
816C2×#95C2311yescharacteristic
817C2×#95C2314yes—
818C2×#95C2314yes—
819C2×#95C2312yes—
820C2×#95C2314yes—
821C43C2312yes—
822C25C2412yes—
823C2×#41—24no—
824C2×#41—24no—
825C2×#41C2×Q818yes—
826C22×Q8—28no—
827C22×Q8—44no—
828C22×Q8—82no—
829C22×Q8C2414yes—
830C22×Q8C2411yescharacteristic
831C22×Q8C2412yes—
832C22×Q8C2414yes—
833C22×Q8C2412yes—
834C22×Q8C2414yes—
835C22×D4—24no—
836C22×D4—24no—
837C22×D4C2×Q818yes—
838C22×D4C2412yes—
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2411yescharacteristic
842C22×D4C2414yes—
843C22×D4C2414yes—
844C23×C4—28no—
845C23×C4—44no—
846C23×C4—82no—
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C23×C4C2411yescharacteristic
851C23×C4C2414yes—
852C23×C4C2412yes—
853C23×C4C2412yes—
854C23×C4C2412yes—
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2414yes—
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2414yes—
861C23×C4C2414yes—
862C23×C4C2414yes—
863C23×C4C2414yes—
864C23×C4C2414yes—
865C23×C4C2412yes—
866C23×C4C2412yes—
867C23×C4C2411yescharacteristic
868C4⋊Q8—28no—
869C4⋊Q8—28no—
870C4⋊Q8—28no—
871C4⋊Q8—28no—
872C4⋊Q8—42no—
873C4⋊Q8—42no—
874C4⋊Q8—44no—
875C4⋊Q8—44no—
876C4⋊Q8—48no—
877#127C2×Q8116yescomplemented
878#125—28no—
879#125—44no—
880#125—42no—
881#125—42no—
882#125—44no—
883#125—44no—
884#125—48no—
885#124C2×Q8116yescomplemented
886C22⋊Q8—216no—
887C22⋊Q8—28no—
888C22⋊Q8—44no—
889C22⋊Q8—44no—
890C22⋊Q8—48no—
891C22⋊Q8—48no—
892C22⋊Q8—48no—
893C22⋊Q8—44no—
894C22⋊Q8—48no—
895C22⋊Q8—48no—
896C22⋊Q8—48no—
897C22⋊Q8—48no—
898C22⋊Q8—48no—
899C22⋊Q8—48no—
900C22⋊Q8—84no—
901C22⋊Q8—84no—
902#121C2×Q8116yescomplemented
903#121C2×Q8116yescomplemented
904#120C2×Q8132yes—
905C4×Q8—28no—
906C4×Q8—44no—
907C4×Q8—44no—
908C4×Q8—42no—
909C4×Q8—42no—
910C4×Q8—44no—
911C4×Q8—48no—
912C4×Q8—84no—
913C4×D4—216no—
914C4×D4—28no—
915C4×D4—28no—
916C4×D4—28no—
917C4×D4—28no—
918C4×D4—28no—
919C4×D4—48no—
920C4×D4—48no—
921C4×D4—42no—
922C4×D4—42no—
923C4×D4—44no—
924C4×D4—44no—
925C4×D4—44no—
926C4×D4—44no—
927C4×D4—44no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—44no—
932C4×D4—48no—
933C4×D4—48no—
934C4×D4—44no—
935C4×D4—44no—
936C4×D4—48no—
937C4×D4—84no—
938C4×D4—84no—
939#117—24no—
940#117—24no—
941#117—24no—
942#117—24no—
943#117—24no—
944#117—24no—
945#117—28no—
946#117—44no—
947#117—44no—
948#117C2×Q818yes—
949C2×C4⋊C4—28no—
950C2×C4⋊C4—24no—
951C2×C4⋊C4—24no—
952C2×C4⋊C4—28no—
953C2×C4⋊C4—24no—
954C2×C4⋊C4—42no—
955C2×C4⋊C4—44no—
956C2×C4⋊C4—44no—
957C2×C4⋊C4—44no—
958C2×C4⋊C4—48no—
959C2×C4⋊C4—48no—
960C2×C4⋊C4—84no—
961C2×C4⋊C4#4118yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2411yescharacteristic
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C22⋊C4—28no—
1050C2×C22⋊C4—44no—
1051C2×C22⋊C4—44no—
1052C2×C22⋊C4—44no—
1053C2×C22⋊C4—48no—
1054C2×C22⋊C4—48no—
1055C2×C22⋊C4—82no—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C42—24no—
1098C2×C42—24no—
1099C2×C42—24no—
1100C2×C42—44no—
1101C2×C42C2412yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2411yescharacteristic
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2414yes—
1125C2×C42C2414yes—
1126C2×C42C2414yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132#95C2412yes—
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2414yes—
1137#95C2412yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2411yescharacteristic
1141#95C2411yescharacteristic
1142#95C2411yescharacteristic
1143#95C2411yescharacteristic
1144#95C2411yescharacteristic
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2414yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2414yes—
1202C24—24no—
1203C24—24no—
1204C24—42no—
1205C24—42no—
1206C24—42no—
1207C24—42no—
1208C24C22×Q818yes—
1209C24C2514yes—
1210C24C2512yes—
1211C24C2511yescharacteristic
1212#41—232no—
1213C2×Q8—22no—
1214C2×Q8—28no—
1215C2×Q8—28no—
1216C2×Q8—22no—
1217C2×Q8—28no—
1218C2×Q8—24no—
1219C2×Q8—44no—
1220C2×Q8—42no—
1221C2×Q8—42no—
1222C2×Q8—44no—
1223C2×Q8—42no—
1224C2×Q8—42no—
1225C2×Q8—44no—
1226C2×Q8—42no—
1227C2×Q8—44no—
1228C2×Q8—44no—
1229C2×Q8—44no—
1230C2×Q8—816no—
1231C2×Q8C22×Q814yes—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—232no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—22no—
1238C2×D4—24no—
1239C2×D4—24no—
1240C2×D4—22no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4C22×Q818yes—
1246C2×D4C22×Q818yes—
1247C2×D4C22×Q818yes—
1248C2×D4C22×Q814yes—
1249C2×D4C22×Q8116yes—
1250C2×D4C22×Q8116yes—
1251C22×C4—24no—
1252C22×C4—24no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—28no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—28no—
1266C22×C4—22no—
1267C22×C4—28no—
1268C22×C4—28no—
1269C22×C4—24no—
1270C22×C4—42no—
1271C22×C4—41no—
1272C22×C4—44no—
1273C22×C4—41no—
1274C22×C4—42no—
1275C22×C4—41no—
1276C22×C4—41no—
1277C22×C4—42no—
1278C22×C4—42no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—41no—
1283C22×C4—42no—
1284C22×C4—44no—
1285C22×C4—41no—
1286C22×C4—42no—
1287C22×C4—44no—
1288C22×C4—44no—
1289C22×C4—44no—
1290C22×C4—42no—
1291C22×C4—41no—
1292C22×C4—42no—
1293C22×C4—41no—
1294C22×C4—44no—
1295C22×C4—44no—
1296C22×C4—44no—
1297C22×C4—44no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—44no—
1302C22×C4—44no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—816no—
1310C22×C4C22×Q818yes—
1311C22×C4C22×Q814yes—
1312C22×C4C2×#4118yes—
1313C22×C4C2×#4114yes—
1314C22×C4H(5,𝔽2)14yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2511yescharacteristic
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2511yescharacteristic
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2512yes—
1326C22×C4C2512yes—
1327C22×C4C2514yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2514yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2512yes—
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2514yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2511yescharacteristic
1346C22×C4C2511yescharacteristic
1347C4⋊C4—22no—
1348C4⋊C4—28no—
1349C4⋊C4—28no—
1350C4⋊C4—28no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—22no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—22no—
1360C4⋊C4—28no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—28no—
1365C4⋊C4—22no—
1366C4⋊C4—22no—
1367C4⋊C4—22no—
1368C4⋊C4—22no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—22no—
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—22no—
1379C4⋊C4—22no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—44no—
1383C4⋊C4—41no—
1384C4⋊C4—41no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—42no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—42no—
1395C4⋊C4—42no—
1396C4⋊C4—42no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—42no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—44no—
1408C4⋊C4—42no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—42no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—42no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4C22×Q814yes—
1430C4⋊C4C22×Q814yes—
1431C4⋊C4C2×#4118yes—
1432C4⋊C4C2×#4118yes—
1433C4⋊C4H(5,𝔽2)14yes—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—28no—
1441C22⋊C4—28no—
1442C22⋊C4—28no—
1443C22⋊C4—28no—
1444C22⋊C4—28no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—28no—
1448C22⋊C4—24no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—42no—
1462C22⋊C4—42no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—42no—
1471C22⋊C4—42no—
1472C22⋊C4C22×Q818yes—
1473C22⋊C4C22×Q8116yes—
1474C22⋊C4C22×Q8116yes—
1475C42—22no—
1476C42—22no—
1477C42—22no—
1478C42—22no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—28no—
1484C42—24no—
1485C42—22no—
1486C42—22no—
1487C42—22no—
1488C42—22no—
1489C42—24no—
1490C42—24no—
1491C42—24no—
1492C42—24no—
1493C42—24no—
1494C42—24no—
1495C42—24no—
1496C42—42no—
1497C42—42no—
1498C42—42no—
1499C42—44no—
1500C42—44no—
1501C42—44no—
1502C42—44no—
1503C42—44no—
1504C42—42no—
1505C42C22×Q818yes—
1506C23—21no—
1507C23—21no—
1508C23—21no—
1509C23—21no—
1510C23—22no—
1511C23—24no—
1512C23—24no—
1513C23—22no—
1514C23—22no—
1515C23—24no—
1516C23—24no—
1517C23—22no—
1518C23—22no—
1519C23—24no—
1520C23—22no—
1521C23—24no—
1522C23—216no—
1523C23—48no—
1524C23—48no—
1525C23—84no—
1526C23—84no—
1527C23—84no—
1528C23—84no—
1529C23C23×Q818yes—
1530C23C23×Q814yes—
1531C23C23×Q812yes—
1532C23C22×#4112yes—
1533C23C2×H(5,𝔽2)12yes—
1534C23C2611yescharacteristic
1535Q8—28no—
1536Q8—416no—
1537Q8—84no—
1538Q8—88no—
1539Q8—84no—
1540Q8—164no—
1541D4—216no—
1542D4—216no—
1543D4—216no—
1544D4—28no—
1545D4—416no—
1546D4—416no—
1547C2×C4—21no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—24no—
1555C2×C4—22no—
1556C2×C4—21no—
1557C2×C4—22no—
1558C2×C4—21no—
1559C2×C4—24no—
1560C2×C4—21no—
1561C2×C4—21no—
1562C2×C4—22no—
1563C2×C4—216no—
1564C2×C4—22no—
1565C2×C4—21no—
1566C2×C4—21no—
1567C2×C4—21no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—22no—
1571C2×C4—24no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—22no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—22no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—24no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—22no—
1629C2×C4—21no—
1630C2×C4—48no—
1631C2×C4—416no—
1632C2×C4—44no—
1633C2×C4—44no—
1634C2×C4—44no—
1635C2×C4—44no—
1636C2×C4—88no—
1637C2×C4—84no—
1638C2×C4—88no—
1639C2×C4—82no—
1640C2×C4—84no—
1641C2×C4—82no—
1642C2×C4—84no—
1643C2×C4—84no—
1644C2×C4—164no—
1645C2×C4—164no—
1646C2×C4—164no—
1647C2×C4—164no—
1648C2×C4—164no—
1649C2×C4#554116yescomplemented
1650C2×C4C23×Q814yes—
1651C2×C4C23×Q814yes—
1652C2×C4C23×Q814yes—
1653C2×C4C23×Q812yes—
1654C2×C4C23×Q812yes—
1655C2×C4C22×#4118yes—
1656C2×C4C22×#4112yes—
1657C2×C4C22×#4112yes—
1658C2×C4C2×H(5,𝔽2)12yes—
1659C2×C4C2×H(5,𝔽2)12yes—
1660C2×C4C2×H(5,𝔽2)12yes—
1661C2×C4C2×H(5,𝔽2)12yes—
1662C2×C4C2×H(5,𝔽2)12yes—
1663C2×C4#58512yes—
1664C22—22no—
1665C22—22no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—24no—
1671C22—28no—
1672C22—24no—
1673C22—28no—
1674C22—24no—
1675C22—28no—
1676C22—44no—
1677C22—42no—
1678C22—42no—
1679C22—44no—
1680C22—42no—
1681C22—44no—
1682C22—42no—
1683C22—44no—
1684C22—816no—
1685C22C2×#55414yes—
1686C22C24×Q811yescharacteristic
1687C22C23×#4111yescharacteristic
1688C22C22×H(5,𝔽2)11yescharacteristic
1689C22C22×H(5,𝔽2)11yescharacteristic
1690C22C2×#58511yescharacteristic
1691C22H(7,𝔽2)11yescharacteristic
1692C222−1+611yescharacteristic
1693C4—24no—
1694C4—22no—
1695C4—28no—
1696C4—22no—
1697C4—24no—
1698C4—22no—
1699C4—22no—
1700C4—24no—
1701C4—41no—
1702C4—41no—
1703C4—42no—
1704C4—44no—
1705C4—42no—
1706C4—41no—
1707C4—41no—
1708C4—41no—
1709C4—41no—
1710C4—42no—
1711C4—44no—
1712C4—42no—
1713C4—42no—
1714C4—42no—
1715C4—42no—
1716C4—41no—
1717C4—42no—
1718C4—41no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4C2×#55414yes—
1724C4C2×#55414yes—
1725C2—24no—
1726C2—44no—
1727C2—48no—
1728C2C22×#55411yescharacteristic
1729C2#6283411yescharacteristic
1730C2#6287811yescharacteristic
1731C2Q8×H(5,𝔽2)11yescharacteristic
1732C2#6298311yescharacteristic
1733C2#6298911yescharacteristic
1734C2#6300511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#535C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59919C2semidirect
2. #59831C2semidirect
3. #59771C2semidirect
4. #59461C2semidirect
5. #59460C2semidirect
6. #59458C2semidirect
7. #59457C2semidirect
8. #59455C2semidirect
9. #59320C2semidirect
10. #59016C2semidirect
11. #45361C2semidirect
12. #45360C2semidirect
13. #45213C2semidirect
14. #45059C2semidirect
15. #44952C2semidirect
16. #44952C2semidirect
17. #44946C2semidirect
18. #44943C2semidirect
19. #43081C2semidirect
20. #43055C2semidirect
21. #35575C2semidirect
22. #35574C2semidirect
23. #35566C2semidirect
24. #35543C2semidirect
25. #35529C2semidirect
26. #35515C2semidirect
27. #34947C2semidirect
28. #34815C2semidirect
29. C2×#2452C2semidirect
33. #34250C2semidirect
34. #34216C2semidirect
35. #34181C2semidirect
36. C2×#554C22semidirect
48. #2804C22semidirect
49. #2804C22semidirect
50. #2790C22semidirect
51. #2790C22semidirect
52. #2788C22semidirect
53. #2788C22semidirect
54. #2788C22semidirect
55. #2784C22semidirect
56. #2784C22semidirect
57. #2780C22semidirect
58. #2780C22semidirect
59. #2780C22semidirect
60. #2780C22semidirect
61. #2768C22semidirect
62. #2763C22semidirect
63. #2763C22semidirect
64. #2729C22semidirect
65. #2720C22semidirect
66. #2704C22semidirect
67. #2704C22semidirect
68. #2692C22semidirect
69. #2692C22semidirect
70. #2692C22semidirect
71. #2692C22semidirect
72. #2589C22semidirect
73. #2589C22semidirect
74. #2587C22semidirect
75. #2587C22semidirect
76. #2584C22semidirect
77. #2584C22semidirect
78. #2583C22semidirect
81. #2580C22semidirect
82. #2580C22semidirect
84. #2579C22semidirect
85. #2579C22semidirect
86. #2574C22semidirect
87. #2574C22semidirect
88. #2571C22semidirect
89. #2570C22semidirect
90. #2570C22semidirect
91. #2568C22semidirect
92. #2567C22semidirect
93. #2567C22semidirect
96. #2566C22semidirect
97. #2566C22semidirect
98. #2566C22semidirect
99. #2565C22semidirect
100. #2565C22semidirect
105. #2563C22semidirect
106. #2552C22semidirect
107. #2552C22semidirect
108. #2551C22semidirect
109. #2550C22semidirect
110. #2550C22semidirect
112. #2549C22semidirect
113. #2549C22semidirect
114. #2546C22semidirect
116. #2542C22semidirect
119. #2538C22semidirect
120. #2522C22semidirect
121. #2522C22semidirect
122. #2509C22semidirect
123. #2509C22semidirect
124. #2509C22semidirect
125. #2508C22semidirect
126. #2508C22semidirect
127. #2508C22semidirect
128. #2507C22semidirect
129. #2507C22semidirect
130. #2507C22semidirect
131. #2506C22semidirect
132. #2506C22semidirect
133. #2506C22semidirect
137. #2505C22semidirect
138. #2502C22semidirect
139. #2492C22semidirect
143. #2473C22semidirect
144. #2465C22semidirect
145. #2465C22semidirect
150. #2454C22semidirect
151. #2454C22semidirect
152. #2453C22semidirect
165. #2452C22semidirect
166. #2452C22semidirect
167. #2452C22semidirect
168. #2452C22semidirect
169. #2451C22semidirect
170. #2451C22semidirect
171. #2451C22semidirect
172. #2450C22semidirect
173. #2450C22semidirect
174. #2450C22semidirect
175. #2450C22semidirect
176. #2450C22semidirect
177. #2450C22semidirect
178. #2449C22semidirect
179. #2449C22semidirect
180. #2442C22semidirect
181. #2441C22semidirect
183. #2440C22semidirect
184. #2440C22semidirect
185. #2440C22semidirect
186. #2439C22semidirect
187. #2439C22semidirect
188. #2439C22semidirect
193. #2423C22semidirect
197. #2417C22semidirect
198. #2417C22semidirect
200. #2402C22semidirect
201. #2402C22semidirect
202. #2396C22semidirect
203. #2396C22semidirect
206. #2369C22semidirect
207. #2369C22semidirect
208. #2368C22semidirect
217. #2365C22semidirect
218. #2365C22semidirect
227. #2360C22semidirect
232. #2351C22semidirect
233. Q8×C4⋊C4C22semidirect
239. #2349C22semidirect
240. #2349C22semidirect
246. D4×C4⋊C4C22semidirect
249. #2331C22semidirect
250. #2331C22semidirect
259. #2317C22semidirect
263. #2316C22semidirect
267. C4×C4⋊Q8C22semidirect
268. C4×C4⋊Q8C22semidirect
270. C4×#125C22semidirect
271. C4×#125C22semidirect
273. C4×C22⋊Q8C22semidirect
274. C4×C22⋊Q8C22semidirect
284. #2296C22semidirect
289. C2×#389C22semidirect
305. #535Q8semidirect
877. #127C2×Q8semidirect
885. #124C2×Q8semidirect
902. #121C2×Q8semidirect
903. #121C2×Q8semidirect
1649. C2×C4#554semidirect

Maximal subgroups

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

subgroupindex
#599192
#598312
#597712
#594612
#594602
#594582
#594572
#594552
#593202
#590162
#453612
#453602
#452132
#450592
#449522
#449462
#449432
#430812
#430552
#355752
#355742
#355662
#355432
#355292
#355152
#349472
#348152
C2×#24522
#342752
#342692
#342652
#342502
#342162
#341812