Finite Group Databasebeta

← #7647557

Subgroups — #7647557

Order 512.

5490 conjugacy classes of subgroups.

The subgroup lattice has 1822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42818C212yesmaximal, complemented
2#42816C212yesmaximal, complemented
3#42490C212yesmaximal, complemented
4#42486C212yesmaximal, complemented
5#40612C214yesmaximal, complemented
6#40609C214yesmaximal, complemented
7#39985C212yesmaximal, complemented
8#39985C212yesmaximal, complemented
9#39981C212yesmaximal, complemented
10#39980C212yesmaximal, complemented
11#38448C214yesmaximal, complemented
12#38445C214yesmaximal, complemented
13#37481C212yesmaximal, complemented
14#37476C212yesmaximal, complemented
15#37425C212yesmaximal, complemented
16#37310C212yesmaximal, complemented
17#37310C212yesmaximal, complemented
18#37307C212yesmaximal, complemented
19#35639C211yesmaximal, characteristic, complemented
20#35575C211yesmaximal, characteristic, complemented
21#35532C211yesmaximal, characteristic, complemented
22#35519C211yesmaximal, characteristic, complemented
23#35333C211yesmaximal, characteristic, complemented
24#35280C211yesmaximal, characteristic, complemented
25#35257C211yesmaximal, characteristic, complemented
26#35257C211yesmaximal, characteristic, complemented
27#35253C211yesmaximal, characteristic, complemented
28#35151C211yesmaximal, characteristic, complemented
29#35079C212yesmaximal, complemented
30#35033C212yesmaximal, complemented
31#34739C211yesmaximal, characteristic, complemented
32C2×#2441C211yesmaximal, characteristic, complemented
33#34175C211yesmaximal, characteristic
34C22⋊C4×#41C211yesmaximal, characteristic
35#34044C211yesmaximal, characteristic
36C23×#41C2211yescharacteristic
37C2×#544C2211yescharacteristic, complemented
38C2×#544C2211yescharacteristic, complemented
39C2×#533C2211yescharacteristic, complemented
40C22×#125C2211yescharacteristic, complemented
41C2×#520C2211yescharacteristic
42C2×#520C2211yescharacteristic
43C2×C4×#41C2211yescharacteristic
44C2×C4×#41C2211yescharacteristic
45C22×#117C2211yescharacteristic
46C22×#117C2211yescharacteristic
47#2857C2212yescomplemented
48#2857C2212yescomplemented
49#2857C2212yescomplemented
50#2857C2212yescomplemented
51#2857C2212yescomplemented
52#2855C2214yescomplemented
53#2851C2212yescomplemented
54#2851C2212yescomplemented
55#2851C2212yescomplemented
56#2851C2212yescomplemented
57#2851C2212yescomplemented
58#2842C2214yes—
59#2842C2214yes—
60#2841C2214yes—
61#2841C2214yes—
62#2809C2214yescomplemented
63#2809C2214yescomplemented
64#2806C2214yescomplemented
65#2806C2214yescomplemented
66#2806C2214yescomplemented
67#2806C2214yescomplemented
68#2799C2214yescomplemented
69#2799C2214yescomplemented
70#2784C2214yescomplemented
71#2784C2214yescomplemented
72#2780C2214yescomplemented
73#2780C2214yescomplemented
74#2780C2214yescomplemented
75#2780C2214yescomplemented
76#2780C2214yescomplemented
77#2780C2214yescomplemented
78#2780C2214yescomplemented
79#2780C2214yescomplemented
80#2748C2214yescomplemented
81#2748C2214yescomplemented
82#2748C2214yescomplemented
83#2748C2214yescomplemented
84#2732C2214yescomplemented
85#2732C2214yescomplemented
86#2732C2214yescomplemented
87#2732C2214yescomplemented
88#2692C2214yescomplemented
89#2692C2214yescomplemented
90#2692C2214yescomplemented
91#2692C2214yescomplemented
92#2683C2214yescomplemented
93#2683C2214yescomplemented
94#2667C2214yes—
95#2667C2214yes—
96#2667C2214yes—
97#2667C2214yescomplemented
98#2667C2214yescomplemented
99#2667C2214yescomplemented
100#2665C2214yes—
101#2665C2214yescomplemented
102#2629C2212yes—
103#2629C2212yescomplemented
104#2629C2212yescomplemented
105#2629C2212yescomplemented
106#2629C2212yescomplemented
107#2629C2212yescomplemented
108#2629C2212yescomplemented
109#2628C2212yes—
110#2628C2212yescomplemented
111#2628C2212yescomplemented
112#2626C2214yes—
113#2626C2214yes—
114#2626C2214yes—
115#2626C2214yes—
116#2626C2214yes—
117#2608C2214yes—
118#2608C2214yescomplemented
119#2608C2214yescomplemented
120#2608C2214yescomplemented
121#2607C2214yes—
122#2607C2214yescomplemented
123#2582C2212yescomplemented
124#2582C2212yescomplemented
125#2582C2212yescomplemented
126#2581C2212yescomplemented
127#2580C2212yescomplemented
128#2579C2214yescomplemented
129#2579C2214yescomplemented
130#2579C2214yescomplemented
131#2569C2214yescomplemented
132#2569C2214yescomplemented
133#2567C2212yescomplemented
134#2566C2212yescomplemented
135#2566C2212yescomplemented
136#2566C2212yescomplemented
137#2565C2212yescomplemented
138#2565C2212yescomplemented
139#2565C2212yescomplemented
140#2564C2214yescomplemented
141#2549C2214yescomplemented
142#2549C2214yescomplemented
143#2542C2212yescomplemented
144#2538C2212yescomplemented
145#2538C2212yescomplemented
146#2538C2212yescomplemented
147#2487C2214yescomplemented
148#2454C2212yescomplemented
149#2454C2212yescomplemented
150#2454C2212yescomplemented
151#2454C2212yescomplemented
152#2454C2212yescomplemented
153#2453C2212yescomplemented
154#2453C2212yescomplemented
155#2453C2212yescomplemented
156#2453C2212yescomplemented
157#2453C2212yescomplemented
158#2452C2212yescomplemented
159#2452C2212yescomplemented
160#2452C2212yescomplemented
161#2451C2212yescomplemented
162#2451C2212yescomplemented
163#2451C2212yescomplemented
164#2450C2214yescomplemented
165#2450C2214yescomplemented
166#2450C2214yescomplemented
167#2449C2214yescomplemented
168#2449C2214yescomplemented
169#2449C2214yescomplemented
170#2449C2214yescomplemented
171#2449C2214yescomplemented
172#2442C2212yescomplemented
173#2442C2212yescomplemented
174#2442C2211yescharacteristic, complemented
175#2442C2212yescomplemented
176#2442C2212yescomplemented
177#2442C2212yescomplemented
178#2442C2211yescharacteristic, complemented
179#2441C2212yes—
180#2441C2212yes—
181#2441C2212yes—
182#2441C2212yes—
183#2441C2212yes—
184#2441C2212yes—
185#2441C2211yescharacteristic
186#2441C2212yes—
187#2441C2211yescharacteristic
188#2441C2212yescomplemented
189#2441C2212yescomplemented
190#2441C2212yescomplemented
191#2441C2212yescomplemented
192#2441C2212yescomplemented
193#2441C2212yescomplemented
194#2441C2212yescomplemented
195#2441C2212yescomplemented
196#2441C2212yescomplemented
197#2441C2212yescomplemented
198#2441C2212yescomplemented
199#2441C2212yescomplemented
200#2440C2212yescomplemented
201#2440C2212yescomplemented
202#2440C2212yescomplemented
203#2440C2212yescomplemented
204#2440C2211yescharacteristic, complemented
205#2440C2211yescharacteristic, complemented
206#2440C2212yescomplemented
207#2439C2211yescharacteristic
208#2439C2212yes—
209#2439C2212yes—
210#2439C2212yes—
211#2439C2211yescharacteristic
212#2439C2212yescomplemented
213#2439C2212yescomplemented
214#2439C2212yescomplemented
215#2439C2212yescomplemented
216#2438C2212yescomplemented
217#2438C2214yescomplemented
218#2438C2212yescomplemented
219#2437C2214yes—
220#2437C2214yes—
221#2437C2212yes—
222#2437C2214yes—
223#2437C2212yes—
224#2417C2214yescomplemented
225#2417C2214yescomplemented
226#2417C2214yescomplemented
227#2396C2212yes—
228#2396C2212yes—
229C2×#399C2212yes—
230C2×#396C2212yes—
231#2341C2211yescharacteristic
232#2341C2212yes—
233#2341C2211yescharacteristic
234Q8×C22⋊C4C2211yescharacteristic
235Q8×C22⋊C4C2211yescharacteristic
236Q8×C22⋊C4C2212yes—
237#2339C2212yes—
238#2339C2212yes—
239#2339C2214yes—
240#2339C2211yescharacteristic
241#2339C2212yes—
242#2339C2211yescharacteristic
243D4×C22⋊C4C2212yes—
244D4×C22⋊C4C2212yes—
245D4×C22⋊C4C2211yescharacteristic
246D4×C22⋊C4C2211yescharacteristic
247D4×C22⋊C4C2214yes—
248D4×C22⋊C4C2212yes—
249#2329C2214yescomplemented
250#2329C2214yescomplemented
251#2329C2214yescomplemented
252#2329C2214yescomplemented
253#2317C2211yescharacteristic, complemented
254#2317C2211yescharacteristic, complemented
255#2317C2211yescharacteristic, complemented
256#2317C2211yescharacteristic, complemented
257#2316C2211yescharacteristic, complemented
258#2316C2211yescharacteristic, complemented
259#2311C2211yescharacteristic
260#2311C2211yescharacteristic
261#2311C2212yes—
262#2311C2212yes—
263#2311C2211yescharacteristic
264#2311C2211yescharacteristic
265#2311C2212yes—
266#2311C2211yescharacteristic
267#2311C2212yes—
268#2311C2211yescharacteristic
269#2310C2212yes—
270#2309C2212yes—
271#2308C2214yes—
272C4×C22⋊Q8C2212yescomplemented
273C4×C22⋊Q8C2212yescomplemented
274#2297C2212yes—
275#2297C2214yes—
276#2297C2212yes—
277#2297C2212yes—
278#2297C2211yescharacteristic
279#2297C2212yes—
280#2297C2211yescharacteristic
281#2296C2211yescharacteristic, complemented
282#2296C2211yescharacteristic, complemented
283C2×#389C2212yescomplemented
284C2×#389C2211yescharacteristic, complemented
285C2×#389C2211yescharacteristic, complemented
286C2×#387C2212yescomplemented
287#2285C2211yescharacteristic, complemented
288C2×#384C2211yescharacteristic, complemented
289#2280C2212yes—
290#2280C2211yescharacteristic
291#2280C2212yes—
292#2280C2211yescharacteristic
293#2280C2212yes—
294#2280C2212yes—
295C2×#380C2212yes—
296C2×#380C2211yescharacteristic
297C2×C4×C22⋊C4C2212yes—
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41—44no—
300C22×#41—44no—
301C22×#41Q8116yescomplemented
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2311yescharacteristic
307C22×#41C2311yescharacteristic
308C23×Q8C2311yescharacteristic
309C23×D4C2312yes—
310C23×D4C2311yescharacteristic
311C24×C4C2311yescharacteristic
312C24×C4C2312yes—
313#544—44no—
314#544—44no—
315#533—44no—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2312yes—
322C2×#125—44no—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2311yescharacteristic
332C2×#125C2311yescharacteristic
333C2×C22⋊Q8C2314yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2314yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2312yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2312yes—
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2314yes—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2314yes—
347C2×C22⋊Q8C2314yes—
348#520—44no—
349#520—44no—
350C4×#41—44no—
351C4×#41—44no—
352C2×C4×Q8C2311yescharacteristic
353C2×C4×Q8C2311yescharacteristic
354C2×C4×Q8C2312yes—
355C2×C4×Q8C2312yes—
356C2×C4×Q8C2312yes—
357C2×C4×Q8C2312yes—
358C2×C4×Q8C2311yescharacteristic
359C2×C4×Q8C2311yescharacteristic
360C2×C4×D4C2314yes—
361C2×C4×D4C2311yescharacteristic
362C2×C4×D4C2311yescharacteristic
363C2×C4×D4C2312yes—
364C2×C4×D4C2312yes—
365C2×C4×D4C2312yes—
366C2×C4×D4C2314yes—
367C2×C4×D4C2312yes—
368C2×C4×D4C2312yes—
369C2×C4×D4C2312yes—
370C2×C4×D4C2311yescharacteristic
371C2×C4×D4C2311yescharacteristic
372C2×#117—44no—
373C2×#117—44no—
374C2×#117C2311yescharacteristic
375C2×#117C2311yescharacteristic
376C2×#117C2311yescharacteristic
377C2×#117C2311yescharacteristic
378C2×#117C2311yescharacteristic
379C2×#117C2311yescharacteristic
380C2×#117C2312yes—
381C2×#117C2312yes—
382C2×#117C2312yes—
383C2×#117C2312yes—
384C2×#117C2312yes—
385C2×#117C2312yes—
386C2×#117C2312yes—
387C2×#117C2312yes—
388C2×#117C2311yescharacteristic
389C2×#117C2312yes—
390C2×#117C2311yescharacteristic
391C2×#117C2312yes—
392C22×C4⋊C4C2311yescharacteristic
393C22×C4⋊C4C2311yescharacteristic
394C22×C4⋊C4C2311yescharacteristic
395C22×C4⋊C4C2311yescharacteristic
396C22×C4⋊C4C2311yescharacteristic
397C22×C4⋊C4C2311yescharacteristic
398C22×C4⋊C4C2312yes—
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2312yes—
402C22×C4⋊C4C2312yes—
403C22×C4⋊C4C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2312yes—
406C22×C22⋊C4C2312yes—
407C22×C22⋊C4C2312yes—
408C22×C22⋊C4C2312yes—
409C22×C22⋊C4C2312yes—
410C22×C22⋊C4C2311yescharacteristic
411C22×C22⋊C4C2311yescharacteristic
412C22×C22⋊C4C2314yes—
413C22×C22⋊C4C2312yes—
414C22×C42C2311yescharacteristic
415C22×C42C2311yescharacteristic
416C22×C42C2312yes—
417C22×C42C2312yes—
418C22×C42C2312yes—
419C22×C42C2312yes—
420#400C2314yes—
421#400C2314yes—
422#400C2314yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#400C2314yes—
427#400C2312yes—
428#400C2312yes—
429#399C2314yes—
430#399C2314yes—
431#399C2312yes—
432#399C2314yes—
433#399C2312yes—
434#399C2314yes—
435#399C2314yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#399C2314yes—
440#399C2314yes—
441#399C2314yes—
442#399C2314yes—
443#399C2314yes—
444#399C2314yes—
445#399C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2314yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2314yes—
457#398C2314yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2312yes—
468#398C2312yes—
469#398C2312yes—
470#398C2312yes—
471#398C2314yes—
472#396C2314yes—
473#396C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2312yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2312yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2312yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2312yes—
506#395C2314yes—
507#395C2314yes—
508#395C2314yes—
509#395C2314yes—
510#395C2314yes—
511#395C2314yes—
512#395C2314yes—
513#395C2312yes—
514#395C2312yes—
515#393C2314yes—
516#393C2314yes—
517#393C2314yes—
518#393C2314yes—
519#393C2312yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2312yes—
524#391C2312yes—
525#391C2312yes—
526#391C2311yescharacteristic
527#391C2312yes—
528#391C2312yes—
529#391C2312yes—
530#391C2314yes—
531#391C2314yes—
532#391C2312yes—
533#391C2314yes—
534#391C2314yes—
535#391C2311yescharacteristic
536#391C2314yes—
537#391C2314yes—
538#391C2314yes—
539#391C2312yes—
540#391C2312yes—
541#391C2314yes—
542#391C2314yes—
543#391C2314yes—
544#391C2314yes—
545#391C2311yescharacteristic
546#391C2311yescharacteristic
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2312yes—
551#391C2314yes—
552#391C2314yes—
553#390C2312yes—
554#390C2312yes—
555#390C2312yes—
556#390C2314yes—
557#390C2314yes—
558#390C2312yes—
559#390C2312yes—
560#390C2311yescharacteristic
561#390C2314yes—
562#390C2314yes—
563#390C2312yes—
564#390C2311yescharacteristic
565#390C2312yes—
566#390C2312yes—
567#390C2311yescharacteristic
568#390C2311yescharacteristic
569#390C2312yes—
570#390C2312yes—
571#389C2314yes—
572#389C2314yes—
573#389C2312yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2312yes—
578#389C2312yes—
579#389C2312yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2312yes—
603#389C2314yes—
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2314yes—
607#389C2312yes—
608#389C2314yes—
609#389C2314yes—
610#389C2314yes—
611#389C2311yescharacteristic
612#389C2311yescharacteristic
613#389C2312yes—
614#389C2312yes—
615#389C2311yescharacteristic
616#389C2311yescharacteristic
617#389C2312yes—
618#389C2314yes—
619#389C2312yes—
620#389C2312yes—
621#389C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2314yes—
625#387C2314yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2312yes—
631#387C2314yes—
632#387C2312yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2312yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2312yes—
650#387C2314yes—
651#387C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2312yes—
668#386C2312yes—
669#386C2312yes—
670#386C2312yes—
671#386C2312yes—
672#386C2312yes—
673#386C2312yes—
674#386C2312yes—
675#386C2312yes—
676#386C2312yes—
677#386C2312yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2312yes—
702#385C2312yes—
703#385C2312yes—
704#385C2312yes—
705#385C2312yes—
706#385C2312yes—
707#385C2312yes—
708#384C2312yes—
709#384C2312yes—
710#384C2312yes—
711#384C2312yes—
712#384C2312yes—
713#384C2312yes—
714#384C2312yes—
715#384C2311yescharacteristic
716#384C2312yes—
717#384C2311yescharacteristic
718#382C2312yes—
719#382C2312yes—
720#382C2312yes—
721#382C2312yes—
722#382C2311yescharacteristic
723#382C2311yescharacteristic
724#381C2314yes—
725#381C2314yes—
726#381C2312yes—
727#381C2312yes—
728#381C2314yes—
729#381C2312yes—
730#381C2312yes—
731#380C2312yes—
732#380C2314yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2312yes—
744#380C2312yes—
745#380C2311yescharacteristic
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2314yes—
750#380C2314yes—
751#380C2314yes—
752#380C2314yes—
753#380C2314yes—
754#380C2314yes—
755#380C2312yes—
756#380C2314yes—
757#380C2314yes—
758#380C2314yes—
759#380C2314yes—
760#380C2314yes—
761#380C2312yes—
762#380C2312yes—
763#380C2311yescharacteristic
764#380C2312yes—
765#380C2311yescharacteristic
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2311yescharacteristic
769#380C2312yes—
770#380C2314yes—
771#380C2312yes—
772#380C2312yes—
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2311yescharacteristic
776#379C2314yes—
777#379C2314yes—
778#379C2314yes—
779#379C2312yes—
780#379C2312yes—
781#379C2312yes—
782#379C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2314yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2311yescharacteristic
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C2×#95C2312yes—
816C2×#95C2312yes—
817C2×#95C2314yes—
818C2×#95C2312yes—
819C2×#95C2311yescharacteristic
820C2×#95C2311yescharacteristic
821C2×#95C2312yes—
822C2×#95C2312yes—
823C25C2411yescharacteristic
824C25C2412yes—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—42no—
834C2×#41—42no—
835C2×#41—42no—
836C2×#41—42no—
837C2×#41—464no—
838C2×#41C2×Q818yes—
839C2×#41C2×Q818yes—
840C2×#41C2×Q8116yes—
841C2×#41C2×Q8116yes—
842C2×#41C2×Q818yes—
843C2×#41C2×Q818yes—
844C22×Q8—42no—
845C22×Q8—42no—
846C22×Q8C2×Q818yes—
847C22×Q8C2411yescharacteristic
848C22×Q8C2411yescharacteristic
849C22×Q8C2412yes—
850C22×Q8C2412yes—
851C22×Q8C2414yes—
852C22×Q8C2414yes—
853C22×Q8C2412yes—
854C22×D4—42no—
855C22×D4—42no—
856C22×D4—44no—
857C22×D4—44no—
858C22×D4C2×Q818yes—
859C22×D4C2×Q8116yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2411yescharacteristic
863C22×D4C2411yescharacteristic
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C23×C4—24no—
868C23×C4—24no—
869C23×C4—44no—
870C23×C4—44no—
871C23×C4C2×Q818yes—
872C23×C4C2×Q8116yes—
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2411yescharacteristic
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2414yes—
891C23×C4C2414yes—
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2412yes—
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2411yescharacteristic
900C4⋊Q8—42no—
901C4⋊Q8—42no—
902C4⋊Q8—44no—
903C4⋊Q8—44no—
904C4⋊Q8—44no—
905C4⋊Q8—44no—
906#125—44no—
907#125—44no—
908#125—44no—
909#125—44no—
910#125—42no—
911#125—42no—
912#125—44no—
913#125—44no—
914#125—44no—
915#125—44no—
916C22⋊Q8—44no—
917C22⋊Q8—44no—
918C22⋊Q8—48no—
919C22⋊Q8—48no—
920C22⋊Q8—48no—
921C22⋊Q8—48no—
922C22⋊Q8—44no—
923C22⋊Q8—44no—
924C22⋊Q8—48no—
925C22⋊Q8—48no—
926C22⋊Q8—84no—
927C22⋊Q8—84no—
928C22⋊Q8—84no—
929C22⋊Q8—84no—
930C22⋊Q8—84no—
931C4×Q8—44no—
932C4×Q8—44no—
933C4×Q8—42no—
934C4×Q8—42no—
935C4×Q8—42no—
936C4×Q8—42no—
937C4×Q8—44no—
938C4×Q8—44no—
939C4×D4—42no—
940C4×D4—42no—
941C4×D4—42no—
942C4×D4—42no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—44no—
949C4×D4—48no—
950C4×D4—48no—
951#117—24no—
952#117—24no—
953#117—24no—
954#117—24no—
955#117—24no—
956#117—24no—
957#117—44no—
958#117—44no—
959#117—44no—
960#117—44no—
961#117—44no—
962#117—44no—
963#117—44no—
964#117—44no—
965#117—42no—
966#117—42no—
967#117—44no—
968#117—44no—
969C2×C4⋊C4—24no—
970C2×C4⋊C4—24no—
971C2×C4⋊C4—24no—
972C2×C4⋊C4—24no—
973C2×C4⋊C4—44no—
974C2×C4⋊C4—44no—
975C2×C4⋊C4—42no—
976C2×C4⋊C4—42no—
977C2×C4⋊C4—44no—
978C2×C4⋊C4—44no—
979C2×C4⋊C4—44no—
980C2×C4⋊C4—44no—
981C2×C4⋊C4—82no—
982C2×C4⋊C4—82no—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2411yescharacteristic
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2411yescharacteristic
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C22⋊C4—42no—
1060C2×C22⋊C4—42no—
1061C2×C22⋊C4—44no—
1062C2×C22⋊C4—44no—
1063C2×C22⋊C4—44no—
1064C2×C22⋊C4—44no—
1065C2×C22⋊C4—82no—
1066C2×C22⋊C4—84no—
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2411yescharacteristic
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2411yescharacteristic
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C42—24no—
1122C2×C42—24no—
1123C2×C42—44no—
1124C2×C42—44no—
1125C2×C42—44no—
1126C2×C42—44no—
1127C2×C42C2412yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2411yescharacteristic
1141C2×C42C2412yes—
1142C2×C42C2414yes—
1143C2×C42C2412yes—
1144C2×C42C2414yes—
1145C2×C42C2414yes—
1146C2×C42C2414yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151#95C2411yescharacteristic
1152#95C2411yescharacteristic
1153#95C2414yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2411yescharacteristic
1157#95C2411yescharacteristic
1158#95C2412yes—
1159#95C2411yescharacteristic
1160#95C2411yescharacteristic
1161#95C2412yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2414yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217C24—22no—
1218C24—22no—
1219C24—41no—
1220C24—41no—
1221C24—42no—
1222C24—42no—
1223C24—41no—
1224C24—42no—
1225C24—42no—
1226C24—42no—
1227C24—41no—
1228C24—42no—
1229C24C22×Q814yes—
1230C24C22×Q818yes—
1231C24C2511yescharacteristic
1232C24C2511yescharacteristic
1233C24C2512yes—
1234C24C2512yes—
1235C24C2511yescharacteristic
1236#41—232no—
1237#41—232no—
1238#41—432no—
1239#41—432no—
1240#41—416no—
1241#41—416no—
1242C2×Q8—22no—
1243C2×Q8—22no—
1244C2×Q8—22no—
1245C2×Q8—22no—
1246C2×Q8—24no—
1247C2×Q8—24no—
1248C2×Q8—42no—
1249C2×Q8—42no—
1250C2×Q8—42no—
1251C2×Q8—42no—
1252C2×Q8—42no—
1253C2×Q8—42no—
1254C2×Q8—44no—
1255C2×Q8—44no—
1256C2×Q8—44no—
1257C2×Q8—44no—
1258C2×Q8—44no—
1259C2×Q8—44no—
1260C2×Q8—416no—
1261C2×Q8C22×Q814yes—
1262C2×Q8C22×Q814yes—
1263C2×Q8C22×Q818yes—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—22no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—416no—
1273C2×D4—42no—
1274C2×D4—42no—
1275C2×D4—42no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—432no—
1280C2×D4C22×Q818yes—
1281C2×D4C22×Q818yes—
1282C2×D4C22×Q814yes—
1283C2×D4C22×Q814yes—
1284C2×D4C22×Q818yes—
1285C2×D4C22×Q818yes—
1286C2×D4C22×Q818yes—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—232no—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—24no—
1293C22×C4—22no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—24no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—22no—
1311C22×C4—22no—
1312C22×C4—24no—
1313C22×C4—24no—
1314C22×C4—432no—
1315C22×C4—42no—
1316C22×C4—41no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—41no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—41no—
1332C22×C4—41no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—42no—
1339C22×C4—42no—
1340C22×C4—41no—
1341C22×C4—42no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—42no—
1345C22×C4—42no—
1346C22×C4—42no—
1347C22×C4—42no—
1348C22×C4—42no—
1349C22×C4—41no—
1350C22×C4—42no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4C22×Q814yes—
1358C22×C4C22×Q814yes—
1359C22×C4C22×Q814yes—
1360C22×C4C22×Q814yes—
1361C22×C4C22×Q814yes—
1362C22×C4C22×Q818yes—
1363C22×C4C22×Q818yes—
1364C22×C4C22×Q818yes—
1365C22×C4C22×Q818yes—
1366C22×C4C22×Q818yes—
1367C22×C4C22×Q814yes—
1368C22×C4H(5,𝔽2)14yes—
1369C22×C4H(5,𝔽2)14yes—
1370C22×C4C2511yescharacteristic
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2511yescharacteristic
1374C22×C4C2512yes—
1375C22×C4C2511yescharacteristic
1376C22×C4C2511yescharacteristic
1377C22×C4C2512yes—
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2514yes—
1381C22×C4C2512yes—
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2512yes—
1385C22×C4C2514yes—
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2514yes—
1389C22×C4C2514yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2511yescharacteristic
1399C22×C4C2511yescharacteristic
1400C4⋊C4—24no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—22no—
1409C4⋊C4—22no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—28no—
1421C4⋊C4—28no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—42no—
1427C4⋊C4—42no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—42no—
1439C4⋊C4—44no—
1440C4⋊C4—42no—
1441C4⋊C4—44no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—44no—
1456C4⋊C4—42no—
1457C4⋊C4—44no—
1458C4⋊C4—42no—
1459C4⋊C4—44no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—42no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—22no—
1483C22⋊C4—22no—
1484C22⋊C4—22no—
1485C22⋊C4—24no—
1486C22⋊C4—22no—
1487C22⋊C4—24no—
1488C22⋊C4—41no—
1489C22⋊C4—42no—
1490C22⋊C4—41no—
1491C22⋊C4—42no—
1492C22⋊C4—41no—
1493C22⋊C4—41no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—42no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—42no—
1519C22⋊C4—44no—
1520C22⋊C4—42no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—42no—
1530C42—22no—
1531C42—22no—
1532C42—22no—
1533C42—22no—
1534C42—22no—
1535C42—22no—
1536C42—22no—
1537C42—22no—
1538C42—24no—
1539C42—24no—
1540C42—24no—
1541C42—24no—
1542C42—24no—
1543C42—24no—
1544C42—42no—
1545C42—42no—
1546C42—44no—
1547C42—44no—
1548C42—42no—
1549C42—42no—
1550C42—42no—
1551C42—42no—
1552C42—44no—
1553C42—44no—
1554C23—21no—
1555C23—21no—
1556C23—21no—
1557C23—21no—
1558C23—21no—
1559C23—21no—
1560C23—21no—
1561C23—22no—
1562C23—22no—
1563C23—22no—
1564C23—22no—
1565C23—21no—
1566C23—21no—
1567C23—22no—
1568C23—21no—
1569C23—22no—
1570C23—21no—
1571C23—21no—
1572C23—22no—
1573C23—22no—
1574C23—22no—
1575C23—21no—
1576C23—21no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—21no—
1581C23—21no—
1582C23—28no—
1583C23—48no—
1584C23—44no—
1585C23—44no—
1586C23—48no—
1587C23—48no—
1588C23—82no—
1589C23—82no—
1590C23—82no—
1591C23—82no—
1592C23—84no—
1593C23—84no—
1594C23—84no—
1595C23—84no—
1596C23C23×Q812yes—
1597C23C23×Q812yes—
1598C23C23×Q814yes—
1599C23C23×Q814yes—
1600C23C23×Q812yes—
1601C23C2×H(5,𝔽2)12yes—
1602C23C2×H(5,𝔽2)12yes—
1603C23C2611yescharacteristic
1604Q8—28no—
1605Q8—28no—
1606Q8—48no—
1607Q8—84no—
1608Q8—84no—
1609Q8—164no—
1610Q8—164no—
1611D4—216no—
1612D4—216no—
1613D4—28no—
1614D4—28no—
1615D4—48no—
1616D4—48no—
1617D4—48no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—28no—
1631C2×C4—28no—
1632C2×C4—28no—
1633C2×C4—28no—
1634C2×C4—28no—
1635C2×C4—216no—
1636C2×C4—216no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—22no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—24no—
1656C2×C4—24no—
1657C2×C4—24no—
1658C2×C4—24no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—24no—
1668C2×C4—22no—
1669C2×C4—24no—
1670C2×C4—22no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—21no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—24no—
1678C2×C4—24no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—24no—
1682C2×C4—24no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—24no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—21no—
1693C2×C4—24no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—48no—
1704C2×C4—48no—
1705C2×C4—48no—
1706C2×C4—44no—
1707C2×C4—44no—
1708C2×C4—48no—
1709C2×C4—84no—
1710C2×C4—84no—
1711C2×C4—82no—
1712C2×C4—82no—
1713C2×C4—84no—
1714C2×C4—84no—
1715C2×C4—84no—
1716C2×C4—84no—
1717C2×C4—84no—
1718C2×C4—84no—
1719C2×C4—84no—
1720C2×C4—164no—
1721C2×C4—164no—
1722C2×C4#543116yes—
1723C2×C4C23×Q812yes—
1724C2×C4C23×Q812yes—
1725C2×C4C23×Q814yes—
1726C2×C4C23×Q814yes—
1727C2×C4C23×Q812yes—
1728C2×C4C23×Q812yes—
1729C2×C4C2×H(5,𝔽2)12yes—
1730C2×C4C2×H(5,𝔽2)12yes—
1731C2×C4C2×H(5,𝔽2)12yes—
1732C2×C4C2×H(5,𝔽2)12yes—
1733C2×C4#58512yes—
1734C2×C4#58512yes—
1735C22—22no—
1736C22—22no—
1737C22—22no—
1738C22—22no—
1739C22—22no—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—24no—
1744C22—24no—
1745C22—22no—
1746C22—22no—
1747C22—24no—
1748C22—24no—
1749C22—22no—
1750C22—22no—
1751C22—24no—
1752C22—24no—
1753C22—42no—
1754C22—41no—
1755C22—42no—
1756C22—41no—
1757C22—41no—
1758C22—42no—
1759C22—42no—
1760C22—41no—
1761C22—42no—
1762C22—42no—
1763C22—41no—
1764C22—41no—
1765C22—41no—
1766C22—42no—
1767C22—42no—
1768C22—41no—
1769C22—88no—
1770C22—816no—
1771C22C2×#54314yes—
1772C22C24×Q811yescharacteristic
1773C22C22×H(5,𝔽2)11yescharacteristic
1774C22C22×H(5,𝔽2)11yescharacteristic
1775C22C2×#58511yescharacteristic
1776C22C2×#58511yescharacteristic
1777C22H(7,𝔽2)11yescharacteristic
1778C222−1+611yescharacteristic
1779C4—22no—
1780C4—22no—
1781C4—24no—
1782C4—24no—
1783C4—22no—
1784C4—22no—
1785C4—42no—
1786C4—44no—
1787C4—41no—
1788C4—42no—
1789C4—41no—
1790C4—41no—
1791C4—42no—
1792C4—42no—
1793C4—42no—
1794C4—42no—
1795C4—41no—
1796C4—41no—
1797C4—44no—
1798C4—44no—
1799C4—42no—
1800C4—42no—
1801C4—41no—
1802C4—44no—
1803C4—42no—
1804C4—42no—
1805C4—42no—
1806C4—42no—
1807C4C2×#54314yes—
1808C4C2×#54314yes—
1809C2—24no—
1810C2—42no—
1811C2—44no—
1812C2—44no—
1813C2—42no—
1814C2C22×#54311yescharacteristic
1815C2#6281311yescharacteristic
1816C2#6285411yescharacteristic
1817C2#6292511yescharacteristic
1818C2#6292711yescharacteristic
1819C2#6295511yescharacteristic
1820C2#6295711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC23×#41C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #42818C2semidirect
2. #42816C2semidirect
3. #42490C2semidirect
4. #42486C2semidirect
5. #40612C2semidirect
6. #40609C2semidirect
7. #39985C2semidirect
8. #39985C2semidirect
9. #39981C2semidirect
10. #39980C2semidirect
11. #38448C2semidirect
12. #38445C2semidirect
13. #37481C2semidirect
14. #37476C2semidirect
15. #37425C2semidirect
16. #37310C2semidirect
17. #37310C2semidirect
18. #37307C2semidirect
19. #35639C2semidirect
20. #35575C2semidirect
21. #35532C2semidirect
22. #35519C2semidirect
23. #35333C2semidirect
24. #35280C2semidirect
25. #35257C2semidirect
26. #35257C2semidirect
27. #35253C2semidirect
28. #35151C2semidirect
29. #35079C2semidirect
30. #35033C2semidirect
31. #34739C2semidirect
32. C2×#2441C2semidirect
37. C2×#544C22semidirect
38. C2×#544C22semidirect
39. C2×#533C22semidirect
40. C22×#125C22semidirect
47. #2857C22semidirect
48. #2857C22semidirect
49. #2857C22semidirect
50. #2857C22semidirect
51. #2857C22semidirect
52. #2855C22semidirect
53. #2851C22semidirect
54. #2851C22semidirect
55. #2851C22semidirect
56. #2851C22semidirect
57. #2851C22semidirect
62. #2809C22semidirect
63. #2809C22semidirect
64. #2806C22semidirect
65. #2806C22semidirect
66. #2806C22semidirect
67. #2806C22semidirect
68. #2799C22semidirect
69. #2799C22semidirect
70. #2784C22semidirect
71. #2784C22semidirect
72. #2780C22semidirect
73. #2780C22semidirect
74. #2780C22semidirect
75. #2780C22semidirect
76. #2780C22semidirect
77. #2780C22semidirect
78. #2780C22semidirect
79. #2780C22semidirect
80. #2748C22semidirect
81. #2748C22semidirect
82. #2748C22semidirect
83. #2748C22semidirect
84. #2732C22semidirect
85. #2732C22semidirect
86. #2732C22semidirect
87. #2732C22semidirect
88. #2692C22semidirect
89. #2692C22semidirect
90. #2692C22semidirect
91. #2692C22semidirect
92. #2683C22semidirect
93. #2683C22semidirect
97. #2667C22semidirect
98. #2667C22semidirect
99. #2667C22semidirect
101. #2665C22semidirect
103. #2629C22semidirect
104. #2629C22semidirect
105. #2629C22semidirect
106. #2629C22semidirect
107. #2629C22semidirect
108. #2629C22semidirect
110. #2628C22semidirect
111. #2628C22semidirect
118. #2608C22semidirect
119. #2608C22semidirect
120. #2608C22semidirect
122. #2607C22semidirect
123. #2582C22semidirect
124. #2582C22semidirect
125. #2582C22semidirect
126. #2581C22semidirect
127. #2580C22semidirect
128. #2579C22semidirect
129. #2579C22semidirect
130. #2579C22semidirect
131. #2569C22semidirect
132. #2569C22semidirect
133. #2567C22semidirect
134. #2566C22semidirect
135. #2566C22semidirect
136. #2566C22semidirect
137. #2565C22semidirect
138. #2565C22semidirect
139. #2565C22semidirect
140. #2564C22semidirect
141. #2549C22semidirect
142. #2549C22semidirect
143. #2542C22semidirect
144. #2538C22semidirect
145. #2538C22semidirect
146. #2538C22semidirect
147. #2487C22semidirect
148. #2454C22semidirect
149. #2454C22semidirect
150. #2454C22semidirect
151. #2454C22semidirect
152. #2454C22semidirect
153. #2453C22semidirect
154. #2453C22semidirect
155. #2453C22semidirect
156. #2453C22semidirect
157. #2453C22semidirect
158. #2452C22semidirect
159. #2452C22semidirect
160. #2452C22semidirect
161. #2451C22semidirect
162. #2451C22semidirect
163. #2451C22semidirect
164. #2450C22semidirect
165. #2450C22semidirect
166. #2450C22semidirect
167. #2449C22semidirect
168. #2449C22semidirect
169. #2449C22semidirect
170. #2449C22semidirect
171. #2449C22semidirect
172. #2442C22semidirect
173. #2442C22semidirect
174. #2442C22semidirect
175. #2442C22semidirect
176. #2442C22semidirect
177. #2442C22semidirect
178. #2442C22semidirect
188. #2441C22semidirect
189. #2441C22semidirect
190. #2441C22semidirect
191. #2441C22semidirect
192. #2441C22semidirect
193. #2441C22semidirect
194. #2441C22semidirect
195. #2441C22semidirect
196. #2441C22semidirect
197. #2441C22semidirect
198. #2441C22semidirect
199. #2441C22semidirect
200. #2440C22semidirect
201. #2440C22semidirect
202. #2440C22semidirect
203. #2440C22semidirect
204. #2440C22semidirect
205. #2440C22semidirect
206. #2440C22semidirect
212. #2439C22semidirect
213. #2439C22semidirect
214. #2439C22semidirect
215. #2439C22semidirect
216. #2438C22semidirect
217. #2438C22semidirect
218. #2438C22semidirect
224. #2417C22semidirect
225. #2417C22semidirect
226. #2417C22semidirect
249. #2329C22semidirect
250. #2329C22semidirect
251. #2329C22semidirect
252. #2329C22semidirect
253. #2317C22semidirect
254. #2317C22semidirect
255. #2317C22semidirect
256. #2317C22semidirect
257. #2316C22semidirect
258. #2316C22semidirect
272. C4×C22⋊Q8C22semidirect
273. C4×C22⋊Q8C22semidirect
281. #2296C22semidirect
282. #2296C22semidirect
283. C2×#389C22semidirect
284. C2×#389C22semidirect
285. C2×#389C22semidirect
286. C2×#387C22semidirect
287. #2285C22semidirect
288. C2×#384C22semidirect
301. C22×#41Q8semidirect

Maximal subgroups

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

subgroupindex
#428182
#428162
#424902
#424862
#406122
#406092
#399852
#399812
#399802
#384482
#384452
#374812
#374762
#374252
#373102
#373072
#356392
#355752
#355322
#355192
#353332
#352802
#352572
#352532
#351512
#350792
#350332
#347392
C2×#24412
#341752
C22⋊C4×#412
#340442