Finite Group Databasebeta

← #7660794

Subgroups — #7660794

Order 512.

7894 conjugacy classes of subgroups.

The subgroup lattice has 1775 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3513C212yesmaximal, complemented
2#52169C211yesmaximal, characteristic, complemented
3C2×#2682C212yesmaximal, complemented
4#42881C212yesmaximal, complemented
5#42798C212yesmaximal, complemented
6#42476C212yesmaximal, complemented
7#41983C214yesmaximal, complemented
8#40515C214yesmaximal, complemented
9#40488C214yesmaximal, complemented
10#39883C212yesmaximal, complemented
11#39742C211yesmaximal, characteristic, complemented
12#39359C211yesmaximal, characteristic, complemented
13#39137C212yesmaximal, complemented
14#38426C212yesmaximal, complemented
15#38426C212yesmaximal, complemented
16#38357C214yesmaximal, complemented
17#37648C214yesmaximal, complemented
18#37298C211yesmaximal, characteristic, complemented
19#37276C212yesmaximal, complemented
20#37130C212yesmaximal, complemented
21#36722C214yesmaximal, complemented
22#36258C211yesmaximal, characteristic, complemented
23#36258C211yesmaximal, characteristic, complemented
24#36215C212yesmaximal, complemented
25D4×#121C212yesmaximal, complemented
26#35776C212yesmaximal, complemented
27#35728C212yesmaximal, complemented
28#35691C212yesmaximal, complemented
29#34250C211yesmaximal, characteristic, complemented
30#3513—232no—
31C2×#559C2212yescomplemented
32C2×#554C2212yes—
33C2×#553C2212yescomplemented
34C2×#553C2214yescomplemented
35C2×#552C2212yescomplemented
36C2×#551C2214yescomplemented
37C2×#551C2214yescomplemented
38C2×#547C2212yescomplemented
39C2×#546C2212yes—
40C2×#546C2212yes—
41C2×#546C2214yescomplemented
42C2×D42C2212yes—
43C2×D42C2211yescharacteristic
44C2×D42C2212yes—
45C2×D42C2211yescharacteristic
46C2×#542C2212yescomplemented
47C2×#540C2212yescomplemented
48C2×#539C2214yescomplemented
49C2×#538C2214yescomplemented
50C2×#537C2212yescomplemented
51C2×#529C2212yescomplemented
52C2×#529C2212yescomplemented
53C2×#525C2214yescomplemented
54C22×#123C2214yescomplemented
55C22×#121C2214yescomplemented
56C2×#520C2211yescharacteristic
57C2×#520C2211yescharacteristic
58C2×#518C2212yes—
59C2×C4×#41C2211yescharacteristic
60C22×C4×D4C2212yes—
61#2856C2211yescharacteristic, complemented
62#2856C2212yescomplemented
63#2856C2211yescharacteristic, complemented
64#2854C2212yescomplemented
65#2854C2212yescomplemented
66#2851C2212yescomplemented
67#2848C2214yescomplemented
68#2847C2214yescomplemented
69#2823C2214yescomplemented
70#2819C2214yescomplemented
71#2813C2214yescomplemented
72#2727C2212yescomplemented
73#2727C2211yescharacteristic, complemented
74#2726C2211yescharacteristic, complemented
75#2725C2214yescomplemented
76#2715C2212yescomplemented
77#2707C2214yescomplemented
78#2707C2214yescomplemented
79#2707C2212yescomplemented
80#2707C2214yescomplemented
81#2705C2214yescomplemented
82#2705C2214yescomplemented
83#2705C2214yescomplemented
84#2705C2214yescomplemented
85#2705C2214yescomplemented
86#2705C2214yescomplemented
87#2704C2214yescomplemented
88#2702C2214yescomplemented
89#2702C2212yescomplemented
90#2695C2212yescomplemented
91#2691C2214yescomplemented
92#2683C2212yescomplemented
93#2683C2211yescharacteristic, complemented
94#2682C2211yescharacteristic
95#2682C2212yescomplemented
96#2682C2214yescomplemented
97#2682C2214yescomplemented
98#2682C2212yescomplemented
99#2682C2212yescomplemented
100#2682C2212yescomplemented
101#2682C2214yescomplemented
102#2682C2214yescomplemented
103#2682C2214yescomplemented
104#2682C2212yescomplemented
105#2682C2214yescomplemented
106#2682C2214yescomplemented
107#2682C2214yescomplemented
108#2682C2212yescomplemented
109#2681C2214yescomplemented
110#2681C2214yescomplemented
111#2681C2214yescomplemented
112#2681C2214yescomplemented
113#2681C2214yescomplemented
114#2681C2214yescomplemented
115#2676C2212yescomplemented
116#2676C2214yescomplemented
117#2675C2214yescomplemented
118#2675C2214yescomplemented
119#2675C2214yescomplemented
120#2671C2212yescomplemented
121#2671C2214yescomplemented
122#2662C2214yescomplemented
123#2662C2214yescomplemented
124#2656C2212yescomplemented
125#2636C2214yescomplemented
126#2636C2214yescomplemented
127#2630C2214yescomplemented
128#2629C2212yescomplemented
129#2626C2214yescomplemented
130#2620C2214yescomplemented
131#2620C2214yescomplemented
132#2619C2212yescomplemented
133#2619C2212yescomplemented
134#2618C2214yescomplemented
135#2618C2212yescomplemented
136#2617C2214yescomplemented
137#2615C2214yescomplemented
138#2609C2214yescomplemented
139#2601C2214yescomplemented
140#2601C2214yescomplemented
141#2580C2212yescomplemented
142#2579C2214yescomplemented
143#2579C2214yescomplemented
144#2566C2212yescomplemented
145#2566C2212yescomplemented
146#2564C2214yescomplemented
147#2548C2211yescharacteristic, complemented
148#2548C2212yescomplemented
149#2548C2211yescharacteristic, complemented
150#2543C2214yescomplemented
151#2543C2214yescomplemented
152#2541C2212yescomplemented
153#2541C2212yescomplemented
154#2540C2214yescomplemented
155#2540C2214yescomplemented
156#2538C2211yescharacteristic, complemented
157#2538C2212yescomplemented
158#2538C2211yescharacteristic, complemented
159#2537C2214yescomplemented
160#2537C2212yescomplemented
161#2536C2212yescomplemented
162#2535C2212yescomplemented
163#2454C2212yescomplemented
164#2454C2212yescomplemented
165#2452C2212yescomplemented
166#2452C2212yescomplemented
167#2450C2214yescomplemented
168#2450C2214yescomplemented
169#2449C2214yescomplemented
170#2449C2214yescomplemented
171#2442C2212yescomplemented
172#2441C2212yescomplemented
173#2440C2212yescomplemented
174#2439C2212yescomplemented
175#2437C2214yescomplemented
176#2437C2214yescomplemented
177#2437C2214yescomplemented
178#2437C2214yescomplemented
179#2430C2214yescomplemented
180#2428C2212yescomplemented
181#2428C2212yescomplemented
182#2428C2212yescomplemented
183#2428C2212yescomplemented
184#2426C2212yescomplemented
185#2426C2212yescomplemented
186#2426C2212yescomplemented
187#2426C2212yescomplemented
188#2424C2214yescomplemented
189#2424C2214yescomplemented
190#2424C2214yescomplemented
191#2424C2214yescomplemented
192#2424C2214yescomplemented
193#2424C2214yescomplemented
194#2424C2214yescomplemented
195#2424C2214yescomplemented
196#2417C2214yescomplemented
197#2416C2214yescomplemented
198#2416C2214yescomplemented
199#2416C2212yescomplemented
200#2416C2212yescomplemented
201#2416C2212yescomplemented
202#2416C2212yescomplemented
203#2416C2212yescomplemented
204#2416C2212yescomplemented
205#2414C2212yescomplemented
206#2414C2212yescomplemented
207#2414C2212yescomplemented
208#2414C2212yescomplemented
209#2411C2214yescomplemented
210#2411C2214yescomplemented
211#2411C2214yescomplemented
212#2411C2214yescomplemented
213#2410C2214yescomplemented
214#2410C2214yescomplemented
215#2410C2214yescomplemented
216#2410C2214yescomplemented
217#2408C2212yescomplemented
218#2408C2214yescomplemented
219#2408C2214yescomplemented
220#2408C2212yescomplemented
221#2408C2214yescomplemented
222#2407C2214yescomplemented
223#2396C2212yescomplemented
224#2392C2212yescomplemented
225#2392C2212yescomplemented
226C2×#396C2214yescomplemented
227C2×#394C2214yescomplemented
228C2×#392C2214yescomplemented
229#2351C2212yescomplemented
230Q8×C4⋊C4C2212yescomplemented
231#2349C2212yes—
232#2349C2212yes—
233#2349C2214yescomplemented
234D4×C4⋊C4C2211yescharacteristic
235D4×C4⋊C4C2211yescharacteristic
236D4×C4⋊C4C2212yes—
237D4×C4⋊C4C2214yescomplemented
238D4×C22⋊C4C2212yes—
239D4×C22⋊C4C2212yes—
240D4×C22⋊C4C2212yes—
241D4×C22⋊C4C2212yes—
242#2325C2212yescomplemented
243#2324C2214yescomplemented
244#2324C2214yescomplemented
245#2317C2211yescharacteristic, complemented
246#2317C2212yescomplemented
247#2316C2212yescomplemented
248#2316C2211yescharacteristic, complemented
249C4×C22⋊Q8C2212yescomplemented
250C4×#121C2211yescharacteristic, complemented
251C4×#121C2211yescharacteristic, complemented
252C4×#121C2212yescomplemented
253#2296C2212yescomplemented
254#2296C2211yescharacteristic, complemented
255C2×#390C2212yescomplemented
256C2×#390C2212yescomplemented
257C2×#389C2212yescomplemented
258C2×#389C2211yescharacteristic, complemented
259C2×#385C2214yescomplemented
260C22×#41C2311yescharacteristic
261C22×#41C2314yes—
262C23×D4C2312yes—
263C23×D4C2312yes—
264C23×D4C2314yes—
265C23×D4C2312yes—
266C23×D4C2312yes—
267C23×D4C2314yes—
268C24×C4C2314yes—
269#559—216no—
270#554—216no—
271#553—232no—
272#553—216no—
273#552—216no—
274#551—232no—
275#551—232no—
276#547—216no—
277#546—216no—
278#546—216no—
279#546—232no—
280D42—216no—
281D42—44no—
282D42—44no—
283D42—48no—
284#542—216no—
285#540—216no—
286#539—232no—
287#538—232no—
288#537—48no—
289C2×C4⋊Q8C2312yes—
290C2×#127C2312yes—
291C2×#127C2311yescharacteristic
292C2×#127C2311yescharacteristic
293C2×#127C2312yes—
294#529—216no—
295#529—216no—
296C2×#126C2314yes—
297C2×#126C2314yes—
298C2×#126C2314yes—
299C2×#126C2312yes—
300C2×#126C2312yes—
301C2×#126C2314yes—
302C2×#125C2312yes—
303C2×#125C2312yes—
304C2×#125C2312yes—
305C2×#125C2314yes—
306C2×#124C2314yes—
307C2×#124C2314yes—
308C2×#124C2312yes—
309C2×#124C2312yes—
310C2×#124C2312yes—
311#525—232no—
312C2×#123—232no—
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×#123C2312yes—
317C2×#123C2314yes—
318C2×#123C2314yes—
319C2×#123C2314yes—
320C2×#123C2314yes—
321C2×#123C2314yes—
322C2×#123C2314yes—
323C2×#123C2314yes—
324C2×#123C2312yes—
325C2×#123C2314yes—
326C2×#123C2314yes—
327C2×C22⋊Q8C2314yes—
328C2×C22⋊Q8C2314yes—
329C2×C22⋊Q8C2314yes—
330C2×C22⋊Q8C2312yes—
331C2×C22⋊Q8C2312yes—
332C2×C22⋊Q8C2314yes—
333C2×C22⋊Q8C2312yes—
334C2×C22⋊Q8C2314yes—
335C2×C22⋊Q8C2314yes—
336C2×C22⋊Q8C2314yes—
337C2×C22⋊Q8C2312yes—
338C2×C22⋊Q8C2314yes—
339C2×C22⋊Q8C2314yes—
340C2×#121—416no—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2312yes—
344C2×#121C2312yes—
345C2×#121C2314yes—
346C2×#121C2311yescharacteristic
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#121C2314yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2312yes—
353C2×#121C2314yes—
354C2×#121C2314yes—
355C2×#121C2314yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2311yescharacteristic
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#120C2314yes—
382C2×#120C2314yes—
383C2×#120C2314yes—
384C2×#120C2314yes—
385C2×#120C2314yes—
386C2×#120C2314yes—
387C2×#120C2314yes—
388C2×#120C2314yes—
389#520—44no—
390#520D4116yescomplemented
391#518—216no—
392C4×#41—44no—
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2311yescharacteristic
397C2×C4×Q8C2312yes—
398C2×C4×D4—216no—
399C2×C4×D4C2314yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2314yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2312yes—
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2312yes—
425C2×C4×D4C2314yes—
426C2×#117C2314yes—
427C2×#117C2314yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2311yescharacteristic
432C2×#117C2311yescharacteristic
433C2×#117C2312yes—
434C2×#117C2311yescharacteristic
435C2×#117C2312yes—
436C22×C4⋊C4C2314yes—
437C22×C4⋊C4C2312yes—
438C22×C4⋊C4C2312yes—
439C22×C4⋊C4C2311yescharacteristic
440C22×C4⋊C4C2314yes—
441C22×C4⋊C4C2312yes—
442C22×C4⋊C4C2312yes—
443C22×C4⋊C4C2312yes—
444C22×C4⋊C4C2312yes—
445C22×C4⋊C4C2311yescharacteristic
446C22×C22⋊C4C2314yes—
447C22×C22⋊C4C2314yes—
448C22×C22⋊C4C2314yes—
449C22×C22⋊C4C2314yes—
450C22×C22⋊C4C2314yes—
451C22×C22⋊C4C2314yes—
452C22×C22⋊C4C2314yes—
453C22×C22⋊C4C2314yes—
454C22×C22⋊C4C2314yes—
455C22×C42C2312yes—
456C22×C42C2312yes—
457C22×C42C2311yescharacteristic
458#400C2314yes—
459#400C2312yes—
460#399C2314yes—
461#399C2314yes—
462#399C2314yes—
463#399C2314yes—
464#399C2312yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2312yes—
469#398C2314yes—
470#398C2314yes—
471#398C2312yes—
472#398C2312yes—
473#398C2312yes—
474#397C2312yes—
475#397C2314yes—
476#397C2312yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2312yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2312yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2312yes—
502#396C2314yes—
503#396C2314yes—
504#396C2312yes—
505#396C2312yes—
506#396C2312yes—
507#395C2314yes—
508#395C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2312yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2312yes—
534#394C2314yes—
535#394C2314yes—
536#394C2312yes—
537#394C2312yes—
538#394C2312yes—
539#394C2312yes—
540#394C2314yes—
541#394C2314yes—
542#393C2312yes—
543#393C2314yes—
544#393C2314yes—
545#393C2314yes—
546#393C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2312yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2312yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#391C2312yes—
567#391C2314yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2312yes—
572#390C2312yes—
573#390C2312yes—
574#390C2314yes—
575#390C2314yes—
576#390C2314yes—
577#390C2314yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2312yes—
586#390C2314yes—
587#390C2312yes—
588#390C2312yes—
589#390C2314yes—
590#390C2314yes—
591#390C2314yes—
592#390C2312yes—
593#390C2312yes—
594#390C2314yes—
595#390C2314yes—
596#390C2312yes—
597#390C2314yes—
598#390C2314yes—
599#390C2311yescharacteristic
600#390C2311yescharacteristic
601#389C2312yes—
602#389C2311yescharacteristic
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2314yes—
608#389C2312yes—
609#389C2314yes—
610#389C2312yes—
611#389C2311yescharacteristic
612#389C2312yes—
613#389C2314yes—
614#389C2312yes—
615#389C2312yes—
616#389C2312yes—
617#389C2311yescharacteristic
618#389C2311yescharacteristic
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2314yes—
624#389C2312yes—
625#389C2314yes—
626#389C2312yes—
627#389C2311yescharacteristic
628#389C2312yes—
629#389C2311yescharacteristic
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2312yes—
638#388C2314yes—
639#388C2314yes—
640#388C2312yes—
641#388C2314yes—
642#388C2312yes—
643#388C2312yes—
644#387C2312yes—
645#387C2314yes—
646#387C2312yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2312yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2312yes—
669#386C2314yes—
670#386C2312yes—
671#386C2312yes—
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#385C2314yes—
689#385C2312yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2312yes—
694#385C2314yes—
695#385C2312yes—
696#385C2314yes—
697#385C2314yes—
698#385C2312yes—
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#384C2314yes—
702#384C2312yes—
703#382C2314yes—
704#382C2312yes—
705#382C2312yes—
706#380C2312yes—
707#380C2314yes—
708#380C2314yes—
709#380C2314yes—
710#380C2314yes—
711#380C2314yes—
712#380C2314yes—
713#380C2311yescharacteristic
714#380C2312yes—
715#380C2314yes—
716#380C2314yes—
717#380C2312yes—
718#380C2312yes—
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2314yes—
723#380C2311yescharacteristic
724#380C2312yes—
725#379C2314yes—
726#379C2314yes—
727#379C2314yes—
728#379C2314yes—
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2314yes—
733C4×C4⋊C4C2311yescharacteristic
734C4×C4⋊C4C2311yescharacteristic
735C4×C4⋊C4C2312yes—
736C4×C22⋊C4C2312yes—
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2312yes—
739C4×C22⋊C4C2312yes—
740C2×#95C2314yes—
741C2×#95C2312yes—
742C2×#95C2314yes—
743C25C2414yes—
744C25C2414yes—
745C2×#41—24no—
746C2×#41—24no—
747C2×#41—216no—
748C2×#41—48no—
749C2×#41—84no—
750C2×#41C2×D418yes—
751C22×Q8C2411yescharacteristic
752C22×Q8C2412yes—
753C22×Q8C2414yes—
754C22×D4—28no—
755C22×D4—28no—
756C22×D4—28no—
757C22×D4—28no—
758C22×D4—28no—
759C22×D4—28no—
760C22×D4—28no—
761C22×D4—216no—
762C22×D4—44no—
763C22×D4—44no—
764C22×D4—44no—
765C22×D4—48no—
766C22×D4—48no—
767C22×D4—48no—
768C22×D4—82no—
769C22×D4—82no—
770C22×D4—84no—
771C22×D4—84no—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2412yes—
775C22×D4C2412yes—
776C22×D4C2412yes—
777C22×D4C2414yes—
778C22×D4C2412yes—
779C22×D4C2412yes—
780C22×D4C2412yes—
781C22×D4C2414yes—
782C22×D4C2414yes—
783C22×D4C2412yes—
784C22×D4C2411yescharacteristic
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2412yes—
790C22×D4C2414yes—
791C22×D4C2412yes—
792C22×D4C2412yes—
793C22×D4C2412yes—
794C22×D4C2414yes—
795C22×D4C2414yes—
796C22×D4C2414yes—
797C22×D4C2414yes—
798C22×D4C2411yescharacteristic
799C22×D4C2411yescharacteristic
800C23×C4—216no—
801C23×C4—48no—
802C23×C4—84no—
803C23×C4C2412yes—
804C23×C4C2412yes—
805C23×C4C2412yes—
806C23×C4C2412yes—
807C23×C4C2414yes—
808C23×C4C2412yes—
809C23×C4C2412yes—
810C23×C4C2411yescharacteristic
811C23×C4C2414yes—
812C23×C4C2414yes—
813C23×C4C2414yes—
814C23×C4C2412yes—
815C23×C4C2414yes—
816C23×C4C2414yes—
817C23×C4C2411yescharacteristic
818C23×C4C2414yes—
819C23×C4C2411yescharacteristic
820C23×C4C2414yes—
821C23×C4C2412yes—
822C23×C4C2414yes—
823C23×C4C2412yes—
824C4⋊Q8—28no—
825#127—28no—
826#127—42no—
827#127—42no—
828#127—44no—
829#126—216no—
830#126—28no—
831#126—216no—
832#126—28no—
833#126—216no—
834#126—216no—
835#125—28no—
836#125—28no—
837#125—216no—
838#125—28no—
839#124—28no—
840#124—28no—
841#124—28no—
842#124—216no—
843#124—216no—
844#123—216no—
845#123—216no—
846#123—216no—
847#123—28no—
848#123—216no—
849#123—216no—
850#123—216no—
851#123—216no—
852#123—216no—
853#123—216no—
854#123—216no—
855#123—216no—
856#123—216no—
857#123—28no—
858C22⋊Q8—28no—
859C22⋊Q8—28no—
860C22⋊Q8—216no—
861C22⋊Q8—216no—
862C22⋊Q8—28no—
863C22⋊Q8—216no—
864C22⋊Q8—216no—
865C22⋊Q8—216no—
866C22⋊Q8—48no—
867C22⋊Q8—44no—
868C22⋊Q8—48no—
869C22⋊Q8—84no—
870C22⋊Q8—84no—
871#121—216no—
872#121—216no—
873#121—28no—
874#121—216no—
875#121—24no—
876#121—216no—
877#121—216no—
878#121—28no—
879#121—28no—
880#121—28no—
881#121—28no—
882#121—216no—
883#121—28no—
884#121—216no—
885#121—44no—
886#121—44no—
887#121—48no—
888#121—48no—
889#121—48no—
890#121—48no—
891#121—48no—
892#121—48no—
893#121—48no—
894#121—42no—
895#121—44no—
896#121—44no—
897#121—44no—
898#121—44no—
899#121—48no—
900#121—48no—
901#121—44no—
902#121—44no—
903#121—48no—
904#121—84no—
905#121—84no—
906#121—82no—
907#121—82no—
908#121—84no—
909#121—84no—
910#121—84no—
911#120—216no—
912#120—216no—
913#120—216no—
914#120—216no—
915#120—48no—
916#120—48no—
917#120—48no—
918#120—48no—
919C4×Q8—28no—
920C4×Q8—42no—
921C4×Q8—42no—
922C4×Q8—44no—
923C4×Q8C2×D4116yescomplemented
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—24no—
927C4×D4—24no—
928C4×D4—28no—
929C4×D4—216no—
930C4×D4—216no—
931C4×D4—216no—
932C4×D4—28no—
933C4×D4—28no—
934C4×D4—28no—
935C4×D4—28no—
936C4×D4—216no—
937C4×D4—216no—
938C4×D4—28no—
939C4×D4—28no—
940C4×D4—216no—
941C4×D4—28no—
942C4×D4—216no—
943C4×D4—42no—
944C4×D4—42no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—44no—
948C4×D4—48no—
949C4×D4C2×D4116yes—
950C4×D4C2×D4132yescomplemented
951#117—28no—
952#117—28no—
953#117—216no—
954#117—216no—
955#117—42no—
956#117—44no—
957#117—44no—
958#117—42no—
959#117C2×D418yescomplemented
960#117C2×D4116yescomplemented
961C2×C4⋊C4—216no—
962C2×C4⋊C4—28no—
963C2×C4⋊C4—42no—
964C2×C4⋊C4—48no—
965C2×C4⋊C4—44no—
966C2×C4⋊C4—44no—
967C2×C4⋊C4—82no—
968C2×C4⋊C4—82no—
969C2×C4⋊C4C2×D4116yescomplemented
970C2×C4⋊C4C2×D418yescomplemented
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2414yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2411yescharacteristic
984C2×C4⋊C4C2411yescharacteristic
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2414yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2411yescharacteristic
996C2×C4⋊C4C2411yescharacteristic
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C22⋊C4—216no—
1031C2×C22⋊C4—216no—
1032C2×C22⋊C4—216no—
1033C2×C22⋊C4—216no—
1034C2×C22⋊C4—216no—
1035C2×C22⋊C4—48no—
1036C2×C22⋊C4—48no—
1037C2×C22⋊C4—48no—
1038C2×C22⋊C4—84no—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C42—28no—
1108C2×C42—42no—
1109C2×C42—44no—
1110C2×C42C2414yes—
1111C2×C42C2412yes—
1112C2×C42C2412yes—
1113C2×C42C2412yes—
1114C2×C42C2412yes—
1115C2×C42C2411yescharacteristic
1116C2×C42C2411yescharacteristic
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2414yes—
1121C2×C42C2412yes—
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2414yes—
1125C2×C42C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2412yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
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#95C2414yes—
1148#95C2412yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158C24—28no—
1159C24—28no—
1160C24—28no—
1161C24—28no—
1162C24—28no—
1163C24—28no—
1164C24—28no—
1165C24—44no—
1166C24—44no—
1167C24—44no—
1168C24—44no—
1169C24—44no—
1170C24—44no—
1171C24—44no—
1172C24C2512yes—
1173C24C2514yes—
1174C24C2514yes—
1175C24C2511yescharacteristic
1176C24C2512yes—
1177C24C2512yes—
1178#41—232no—
1179#41—832no—
1180C2×Q8—24no—
1181C2×Q8—28no—
1182C2×Q8—22no—
1183C2×Q8—22no—
1184C2×Q8—44no—
1185C2×Q8—42no—
1186C2×Q8—42no—
1187C2×Q8—44no—
1188C2×Q8C22×D414yes—
1189C2×D4—24no—
1190C2×D4—24no—
1191C2×D4—28no—
1192C2×D4—28no—
1193C2×D4—24no—
1194C2×D4—28no—
1195C2×D4—28no—
1196C2×D4—24no—
1197C2×D4—24no—
1198C2×D4—28no—
1199C2×D4—24no—
1200C2×D4—28no—
1201C2×D4—28no—
1202C2×D4—24no—
1203C2×D4—28no—
1204C2×D4—28no—
1205C2×D4—28no—
1206C2×D4—28no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—28no—
1210C2×D4—24no—
1211C2×D4—28no—
1212C2×D4—28no—
1213C2×D4—28no—
1214C2×D4—24no—
1215C2×D4—24no—
1216C2×D4—24no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—22no—
1220C2×D4—24no—
1221C2×D4—41no—
1222C2×D4—41no—
1223C2×D4—42no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—44no—
1229C2×D4—42no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—42no—
1240C2×D4—42no—
1241C2×D4—44no—
1242C2×D4—44no—
1243C2×D4—44no—
1244C2×D4—42no—
1245C2×D4—44no—
1246C2×D4—42no—
1247C2×D4—44no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—42no—
1263C2×D4—44no—
1264C2×D4—42no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—432no—
1269C2×D4—432no—
1270C2×D4—832no—
1271C2×D4—816no—
1272C2×D4—816no—
1273C2×D4—832no—
1274C2×D4C22×D418yes—
1275C2×D4C22×D414yes—
1276C2×D4H(5,𝔽2)14yes—
1277C2×D4H(5,𝔽2)14yes—
1278C2×D42−1+414yes—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—28no—
1287C22×C4—28no—
1288C22×C4—28no—
1289C22×C4—28no—
1290C22×C4—24no—
1291C22×C4—24no—
1292C22×C4—28no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—28no—
1302C22×C4—28no—
1303C22×C4—28no—
1304C22×C4—28no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—44no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—42no—
1315C22×C4—41no—
1316C22×C4—41no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—41no—
1328C22×C4—41no—
1329C22×C4—42no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—42no—
1334C22×C4—44no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—42no—
1338C22×C4—832no—
1339C22×C4C22×D418yes—
1340C22×C4C22×D414yes—
1341C22×C4C22×D4116yes—
1342C22×C4C22×D418yes—
1343C22×C4C2511yescharacteristic
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2514yes—
1350C22×C4C2512yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2514yes—
1356C22×C4C2512yes—
1357C22×C4C2514yes—
1358C22×C4C2512yes—
1359C22×C4C2514yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C4⋊C4—24no—
1367C4⋊C4—28no—
1368C4⋊C4—24no—
1369C4⋊C4—28no—
1370C4⋊C4—28no—
1371C4⋊C4—28no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—28no—
1376C4⋊C4—28no—
1377C4⋊C4—28no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—28no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—28no—
1386C4⋊C4—24no—
1387C4⋊C4—22no—
1388C4⋊C4—22no—
1389C4⋊C4—22no—
1390C4⋊C4—24no—
1391C4⋊C4—22no—
1392C4⋊C4—41no—
1393C4⋊C4—42no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—41no—
1399C4⋊C4—41no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—41no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—41no—
1408C4⋊C4—41no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—44no—
1413C4⋊C4—42no—
1414C4⋊C4—42no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—42no—
1419C4⋊C4—42no—
1420C4⋊C4C22×D418yes—
1421C4⋊C4C22×D418yes—
1422C4⋊C4C22×D414yes—
1423C4⋊C4C22×D4116yes—
1424C4⋊C4C22×D414yes—
1425C22⋊C4—28no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—28no—
1431C22⋊C4—28no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—28no—
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—28no—
1446C22⋊C4—28no—
1447C22⋊C4—28no—
1448C22⋊C4—28no—
1449C22⋊C4—28no—
1450C22⋊C4—24no—
1451C22⋊C4—28no—
1452C22⋊C4—24no—
1453C22⋊C4—28no—
1454C22⋊C4—28no—
1455C22⋊C4—28no—
1456C22⋊C4—24no—
1457C22⋊C4—28no—
1458C22⋊C4—24no—
1459C22⋊C4—28no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
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⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—42no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—42no—
1491C22⋊C4C22×D4116yes—
1492C22⋊C4C22×D418yes—
1493C42—24no—
1494C42—24no—
1495C42—24no—
1496C42—28no—
1497C42—24no—
1498C42—22no—
1499C42—22no—
1500C42—24no—
1501C42—41no—
1502C42—41no—
1503C42—42no—
1504C42—42no—
1505C42—42no—
1506C42—44no—
1507C42C22×D418yes—
1508C42C22×D4116yes—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—21no—
1515C23—22no—
1516C23—21no—
1517C23—21no—
1518C23—22no—
1519C23—22no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—24no—
1527C23—24no—
1528C23—24no—
1529C23—22no—
1530C23—22no—
1531C23—24no—
1532C23—24no—
1533C23—24no—
1534C23—22no—
1535C23—24no—
1536C23—24no—
1537C23—24no—
1538C23—24no—
1539C23—22no—
1540C23—24no—
1541C23—22no—
1542C23—24no—
1543C23—24no—
1544C23—24no—
1545C23—22no—
1546C23—416no—
1547C23—416no—
1548C23—416no—
1549C23—416no—
1550C23—416no—
1551C23—88no—
1552C23—88no—
1553C23—88no—
1554C23—88no—
1555C23—88no—
1556C23—88no—
1557C23—88no—
1558C23—88no—
1559C23—88no—
1560C23C23×D412yes—
1561C23C23×D414yes—
1562C23C2×H(5,𝔽2)14yes—
1563C23C2×H(5,𝔽2)14yes—
1564C23C2×2−1+414yes—
1565C23C2611yescharacteristic
1566Q8—28no—
1567Q8—84no—
1568Q8—88no—
1569D4—216no—
1570D4—44no—
1571D4—48no—
1572D4—416no—
1573D4—44no—
1574D4—48no—
1575D4—48no—
1576D4—416no—
1577D4—416no—
1578D4—48no—
1579D4—48no—
1580D4—88no—
1581D4—88no—
1582D4—88no—
1583D4—84no—
1584D4—84no—
1585D4—88no—
1586D4—84no—
1587D4—88no—
1588D4—88no—
1589D4—88no—
1590D4—88no—
1591D4—88no—
1592D4—88no—
1593D4—162no—
1594D4—162no—
1595D4—164no—
1596D4#537116yescomplemented
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—24no—
1603C2×C4—21no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—216no—
1612C2×C4—28no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—24no—
1621C2×C4—22no—
1622C2×C4—21no—
1623C2×C4—21no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—24no—
1628C2×C4—22no—
1629C2×C4—24no—
1630C2×C4—21no—
1631C2×C4—24no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—24no—
1640C2×C4—22no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—24no—
1650C2×C4—22no—
1651C2×C4—24no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—24no—
1657C2×C4—22no—
1658C2×C4—416no—
1659C2×C4—48no—
1660C2×C4—48no—
1661C2×C4—416no—
1662C2×C4—48no—
1663C2×C4—48no—
1664C2×C4—48no—
1665C2×C4—48no—
1666C2×C4—88no—
1667C2×C4—84no—
1668C2×C4—82no—
1669C2×C4—82no—
1670C2×C4—88no—
1671C2×C4—88no—
1672C2×C4—88no—
1673C2×C4—88no—
1674C2×C4—88no—
1675C2×C4—88no—
1676C2×C4—162no—
1677C2×C4C23×D414yes—
1678C2×C4C23×D418yes—
1679C2×C4C23×D414yes—
1680C2×C4C23×D414yes—
1681C2×C4C23×D412yes—
1682C2×C4C23×D412yes—
1683C2×C4C2×H(5,𝔽2)12yes—
1684C2×C4C2×H(5,𝔽2)12yes—
1685C2×C4C2×2−1+412yes—
1686C2×C4#58512yes—
1687C22—24no—
1688C22—24no—
1689C22—24no—
1690C22—24no—
1691C22—24no—
1692C22—24no—
1693C22—24no—
1694C22—22no—
1695C22—22no—
1696C22—24no—
1697C22—24no—
1698C22—22no—
1699C22—42no—
1700C22—41no—
1701C22—41no—
1702C22—42no—
1703C22—41no—
1704C22—41no—
1705C22—42no—
1706C22—42no—
1707C22—44no—
1708C22—44no—
1709C22—42no—
1710C22—44no—
1711C22—44no—
1712C22—42no—
1713C22—44no—
1714C22—44no—
1715C22—42no—
1716C22—44no—
1717C22—44no—
1718C22—42no—
1719C22—42no—
1720C22—44no—
1721C22—44no—
1722C22—42no—
1723C22—44no—
1724C22—44no—
1725C22—42no—
1726C22—44no—
1727C22—44no—
1728C22—832no—
1729C22—1616no—
1730C22C2×#53718yes—
1731C22C24×D411yescharacteristic
1732C22C22×H(5,𝔽2)11yescharacteristic
1733C22C22×H(5,𝔽2)11yescharacteristic
1734C22C22×2−1+411yescharacteristic
1735C22C2×#58511yescharacteristic
1736C22H(7,𝔽2)11yescharacteristic
1737C22H(7,𝔽2)11yescharacteristic
1738C4—24no—
1739C4—28no—
1740C4—24no—
1741C4—22no—
1742C4—22no—
1743C4—22no—
1744C4—24no—
1745C4—42no—
1746C4—44no—
1747C4—42no—
1748C4—44no—
1749C4—42no—
1750C4—42no—
1751C4—42no—
1752C4—42no—
1753C4—44no—
1754C4—41no—
1755C4—42no—
1756C4—41no—
1757C4—42no—
1758C4—42no—
1759C4—42no—
1760C4C2×#53714yes—
1761C2—28no—
1762C2—42no—
1763C2—44no—
1764C2—84no—
1765C2—84no—
1766C2—82no—
1767C2C22×#53711yescharacteristic
1768C2#6289211yescharacteristic
1769C2#6291811yescharacteristic
1770C2D4×H(5,𝔽2)11yescharacteristic
1771C2#6300311yescharacteristic
1772C2#6301311yescharacteristic
1773C2#6305411yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3513C2semidirect
2. #52169C2semidirect
3. C2×#2682C2semidirect
4. #42881C2semidirect
5. #42798C2semidirect
6. #42476C2semidirect
7. #41983C2semidirect
8. #40515C2semidirect
9. #40488C2semidirect
10. #39883C2semidirect
11. #39742C2semidirect
12. #39359C2semidirect
13. #39137C2semidirect
14. #38426C2semidirect
15. #38426C2semidirect
16. #38357C2semidirect
17. #37648C2semidirect
18. #37298C2semidirect
19. #37276C2semidirect
20. #37130C2semidirect
21. #36722C2semidirect
22. #36258C2semidirect
23. #36258C2semidirect
24. #36215C2semidirect
25. D4×#121C2semidirect
26. #35776C2semidirect
27. #35728C2semidirect
28. #35691C2semidirect
29. #34250C2semidirect
31. C2×#559C22semidirect
33. C2×#553C22semidirect
34. C2×#553C22semidirect
35. C2×#552C22semidirect
36. C2×#551C22semidirect
37. C2×#551C22semidirect
38. C2×#547C22semidirect
41. C2×#546C22semidirect
46. C2×#542C22semidirect
47. C2×#540C22semidirect
48. C2×#539C22semidirect
49. C2×#538C22semidirect
50. C2×#537C22semidirect
51. C2×#529C22semidirect
52. C2×#529C22semidirect
53. C2×#525C22semidirect
54. C22×#123C22semidirect
55. C22×#121C22semidirect
61. #2856C22semidirect
62. #2856C22semidirect
63. #2856C22semidirect
64. #2854C22semidirect
65. #2854C22semidirect
66. #2851C22semidirect
67. #2848C22semidirect
68. #2847C22semidirect
69. #2823C22semidirect
70. #2819C22semidirect
71. #2813C22semidirect
72. #2727C22semidirect
73. #2727C22semidirect
74. #2726C22semidirect
75. #2725C22semidirect
76. #2715C22semidirect
77. #2707C22semidirect
78. #2707C22semidirect
79. #2707C22semidirect
80. #2707C22semidirect
81. #2705C22semidirect
82. #2705C22semidirect
83. #2705C22semidirect
84. #2705C22semidirect
85. #2705C22semidirect
86. #2705C22semidirect
87. #2704C22semidirect
88. #2702C22semidirect
89. #2702C22semidirect
90. #2695C22semidirect
91. #2691C22semidirect
92. #2683C22semidirect
93. #2683C22semidirect
95. #2682C22semidirect
96. #2682C22semidirect
97. #2682C22semidirect
98. #2682C22semidirect
99. #2682C22semidirect
100. #2682C22semidirect
101. #2682C22semidirect
102. #2682C22semidirect
103. #2682C22semidirect
104. #2682C22semidirect
105. #2682C22semidirect
106. #2682C22semidirect
107. #2682C22semidirect
108. #2682C22semidirect
109. #2681C22semidirect
110. #2681C22semidirect
111. #2681C22semidirect
112. #2681C22semidirect
113. #2681C22semidirect
114. #2681C22semidirect
115. #2676C22semidirect
116. #2676C22semidirect
117. #2675C22semidirect
118. #2675C22semidirect
119. #2675C22semidirect
120. #2671C22semidirect
121. #2671C22semidirect
122. #2662C22semidirect
123. #2662C22semidirect
124. #2656C22semidirect
125. #2636C22semidirect
126. #2636C22semidirect
127. #2630C22semidirect
128. #2629C22semidirect
129. #2626C22semidirect
130. #2620C22semidirect
131. #2620C22semidirect
132. #2619C22semidirect
133. #2619C22semidirect
134. #2618C22semidirect
135. #2618C22semidirect
136. #2617C22semidirect
137. #2615C22semidirect
138. #2609C22semidirect
139. #2601C22semidirect
140. #2601C22semidirect
141. #2580C22semidirect
142. #2579C22semidirect
143. #2579C22semidirect
144. #2566C22semidirect
145. #2566C22semidirect
146. #2564C22semidirect
147. #2548C22semidirect
148. #2548C22semidirect
149. #2548C22semidirect
150. #2543C22semidirect
151. #2543C22semidirect
152. #2541C22semidirect
153. #2541C22semidirect
154. #2540C22semidirect
155. #2540C22semidirect
156. #2538C22semidirect
157. #2538C22semidirect
158. #2538C22semidirect
159. #2537C22semidirect
160. #2537C22semidirect
161. #2536C22semidirect
162. #2535C22semidirect
163. #2454C22semidirect
164. #2454C22semidirect
165. #2452C22semidirect
166. #2452C22semidirect
167. #2450C22semidirect
168. #2450C22semidirect
169. #2449C22semidirect
170. #2449C22semidirect
171. #2442C22semidirect
172. #2441C22semidirect
173. #2440C22semidirect
174. #2439C22semidirect
175. #2437C22semidirect
176. #2437C22semidirect
177. #2437C22semidirect
178. #2437C22semidirect
179. #2430C22semidirect
180. #2428C22semidirect
181. #2428C22semidirect
182. #2428C22semidirect
183. #2428C22semidirect
184. #2426C22semidirect
185. #2426C22semidirect
186. #2426C22semidirect
187. #2426C22semidirect
188. #2424C22semidirect
189. #2424C22semidirect
190. #2424C22semidirect
191. #2424C22semidirect
192. #2424C22semidirect
193. #2424C22semidirect
194. #2424C22semidirect
195. #2424C22semidirect
196. #2417C22semidirect
197. #2416C22semidirect
198. #2416C22semidirect
199. #2416C22semidirect
200. #2416C22semidirect
201. #2416C22semidirect
202. #2416C22semidirect
203. #2416C22semidirect
204. #2416C22semidirect
205. #2414C22semidirect
206. #2414C22semidirect
207. #2414C22semidirect
208. #2414C22semidirect
209. #2411C22semidirect
210. #2411C22semidirect
211. #2411C22semidirect
212. #2411C22semidirect
213. #2410C22semidirect
214. #2410C22semidirect
215. #2410C22semidirect
216. #2410C22semidirect
217. #2408C22semidirect
218. #2408C22semidirect
219. #2408C22semidirect
220. #2408C22semidirect
221. #2408C22semidirect
222. #2407C22semidirect
223. #2396C22semidirect
224. #2392C22semidirect
225. #2392C22semidirect
226. C2×#396C22semidirect
227. C2×#394C22semidirect
228. C2×#392C22semidirect
229. #2351C22semidirect
230. Q8×C4⋊C4C22semidirect
233. #2349C22semidirect
237. D4×C4⋊C4C22semidirect
242. #2325C22semidirect
243. #2324C22semidirect
244. #2324C22semidirect
245. #2317C22semidirect
246. #2317C22semidirect
247. #2316C22semidirect
248. #2316C22semidirect
249. C4×C22⋊Q8C22semidirect
250. C4×#121C22semidirect
251. C4×#121C22semidirect
252. C4×#121C22semidirect
253. #2296C22semidirect
254. #2296C22semidirect
255. C2×#390C22semidirect
256. C2×#390C22semidirect
257. C2×#389C22semidirect
258. C2×#389C22semidirect
259. C2×#385C22semidirect
390. #520D4semidirect
923. C4×Q8C2×D4semidirect
950. C4×D4C2×D4semidirect
959. #117C2×D4semidirect
960. #117C2×D4semidirect
969. C2×C4⋊C4C2×D4semidirect
970. C2×C4⋊C4C2×D4semidirect
1596. D4#537semidirect

Maximal subgroups

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

subgroupindex
C2×#35132
#521692
C2×#26822
#428812
#427982
#424762
#419832
#405152
#404882
#398832
#397422
#393592
#391372
#384262
#383572
#376482
#372982
#372762
#371302
#367222
#362582
#362152
D4×#1212
#357762
#357282
#356912
#342502