Finite Group Databasebeta

← #8094809

Subgroups — #8094809

Order 512.

5275 conjugacy classes of subgroups.

The subgroup lattice has 1864 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53135C212yesmaximal, complemented
2#53108C212yesmaximal, complemented
3#53106C212yesmaximal, complemented
4#53094C212yesmaximal, complemented
5#53061C212yesmaximal, complemented
6#53021C212yesmaximal, complemented
7#52984C212yesmaximal, complemented
8#52972C212yesmaximal, complemented
9#52412C214yesmaximal, complemented
10#52394C214yesmaximal, complemented
11#46118C214yesmaximal, complemented
12#45976C214yesmaximal, complemented
13#45718C212yesmaximal, complemented
14#45676C212yesmaximal, complemented
15#45653C212yesmaximal, complemented
16#45619C212yesmaximal, complemented
17#45609C212yesmaximal, complemented
18#45514C212yesmaximal, complemented
19#45484C212yesmaximal, complemented
20#45482C212yesmaximal, complemented
21#35574C211yesmaximal, characteristic, complemented
22#35541C211yesmaximal, characteristic, complemented
23#35533C211yesmaximal, characteristic, complemented
24#35516C211yesmaximal, characteristic, complemented
25#35515C211yesmaximal, characteristic, complemented
26#35514C211yesmaximal, characteristic, complemented
27#35279C211yesmaximal, characteristic, complemented
28#35263C211yesmaximal, characteristic, complemented
29#35254C211yesmaximal, characteristic, complemented
30#35252C211yesmaximal, characteristic, complemented
31#35180C211yesmaximal, characteristic, complemented
32#35159C211yesmaximal, characteristic, complemented
33C2×#2491C211yesmaximal, characteristic, complemented
34#34743C211yesmaximal, characteristic, complemented
35#34739C211yesmaximal, characteristic, complemented
36C2×#562C2214yescomplemented
37C2×#535C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#533C2211yescharacteristic
40C2×#532C2211yescharacteristic
41C22×C4⋊Q8C2211yescharacteristic
42C22×#124C2212yes—
43C2×#525C2211yescharacteristic
44C2×#525C2211yescharacteristic
45C22×#121C2211yescharacteristic
46C2×#520C2211yescharacteristic
47C2×#518C2211yescharacteristic
48C2×C4×#41C2211yescharacteristic
49C22×#117C2211yescharacteristic
50#2857C2212yescomplemented
51#2857C2212yescomplemented
52#2856C2212yes—
53#2855C2212yescomplemented
54#2854C2212yescomplemented
55#2854C2212yescomplemented
56#2854C2212yescomplemented
57#2851C2214yes—
58#2850C2214yes—
59#2850C2212yes—
60#2841C2214yescomplemented
61#2837C2214yescomplemented
62#2837C2214yescomplemented
63#2837C2214yescomplemented
64#2832C2214yescomplemented
65#2832C2214yescomplemented
66#2831C2214yescomplemented
67#2830C2214yescomplemented
68#2829C2214yescomplemented
69#2827C2214yescomplemented
70#2826C2214yescomplemented
71#2824C2214yescomplemented
72#2824C2214yescomplemented
73#2820C2214yescomplemented
74#2819C2214yescomplemented
75#2816C2214yescomplemented
76#2816C2214yescomplemented
77#2814C2214yescomplemented
78#2813C2214yescomplemented
79#2813C2214yescomplemented
80#2800C2214yescomplemented
81#2798C2214yescomplemented
82#2788C2214yescomplemented
83#2783C2214yescomplemented
84#2779C2214yescomplemented
85#2754C2214yescomplemented
86#2751C2214yescomplemented
87#2750C2214yescomplemented
88#2744C2214yescomplemented
89#2743C2214yescomplemented
90#2741C2214yescomplemented
91#2740C2214yescomplemented
92#2730C2214yescomplemented
93#2730C2214yescomplemented
94#2730C2214yescomplemented
95#2711C2214yescomplemented
96#2710C2214yescomplemented
97#2710C2214yescomplemented
98#2708C2214yescomplemented
99#2706C2214yescomplemented
100#2704C2214yescomplemented
101#2701C2214yescomplemented
102#2700C2214yescomplemented
103#2700C2214yescomplemented
104#2696C2214yescomplemented
105#2696C2214yescomplemented
106#2692C2214yescomplemented
107#2692C2214yescomplemented
108#2687C2214yescomplemented
109#2686C2214yescomplemented
110#2686C2214yescomplemented
111#2686C2214yescomplemented
112#2681C2214yescomplemented
113#2681C2214yescomplemented
114#2676C2214yescomplemented
115#2676C2214yescomplemented
116#2672C2214yescomplemented
117#2672C2214yescomplemented
118#2671C2214yescomplemented
119#2671C2214yescomplemented
120#2646C2214yes—
121#2639C2214yes—
122#2628C2212yescomplemented
123#2628C2212yescomplemented
124#2625C2212yescomplemented
125#2624C2212yescomplemented
126#2624C2212yescomplemented
127#2624C2212yescomplemented
128#2620C2212yes—
129#2619C2212yes—
130#2592C2212yescomplemented
131#2592C2212yescomplemented
132#2580C2212yescomplemented
133#2580C2212yescomplemented
134#2579C2214yes—
135#2568C2212yescomplemented
136#2568C2212yescomplemented
137#2567C2212yescomplemented
138#2563C2212yescomplemented
139#2563C2212yescomplemented
140#2562C2212yescomplemented
141#2562C2212yescomplemented
142#2548C2212yescomplemented
143#2548C2212yescomplemented
144#2547C2212yescomplemented
145#2545C2212yescomplemented
146#2544C2212yescomplemented
147#2542C2212yescomplemented
148#2541C2212yescomplemented
149#2538C2212yescomplemented
150#2538C2212yescomplemented
151#2537C2212yes—
152#2537C2212yes—
153#2535C2212yes—
154#2535C2212yes—
155#2509C2212yescomplemented
156#2509C2212yescomplemented
157#2508C2212yescomplemented
158#2508C2212yescomplemented
159#2507C2212yescomplemented
160#2507C2212yescomplemented
161#2506C2212yescomplemented
162#2506C2212yescomplemented
163#2498C2214yes—
164#2491C2212yes—
165#2491C2212yes—
166#2491C2212yes—
167#2491C2212yes—
168#2491C2212yes—
169#2491C2212yes—
170#2491C2212yes—
171#2491C2212yes—
172#2487C2214yes—
173#2487C2212yescomplemented
174#2487C2212yescomplemented
175#2486C2212yescomplemented
176#2486C2212yescomplemented
177#2485C2212yescomplemented
178#2485C2212yescomplemented
179#2485C2212yescomplemented
180#2485C2212yescomplemented
181#2454C2212yescomplemented
182#2454C2212yescomplemented
183#2452C2212yescomplemented
184#2452C2212yescomplemented
185#2452C2212yescomplemented
186#2452C2212yescomplemented
187#2451C2212yescomplemented
188#2451C2212yescomplemented
189#2448C2212yescomplemented
190#2448C2212yescomplemented
191#2447C2212yescomplemented
192#2447C2212yescomplemented
193#2445C2212yescomplemented
194#2445C2212yescomplemented
195#2445C2212yescomplemented
196#2445C2212yescomplemented
197#2442C2211yescharacteristic, complemented
198#2442C2211yescharacteristic, complemented
199#2441C2211yescharacteristic, complemented
200#2441C2211yescharacteristic, complemented
201#2440C2211yescharacteristic, complemented
202#2440C2212yescomplemented
203#2440C2212yescomplemented
204#2440C2211yescharacteristic, complemented
205#2439C2212yescomplemented
206#2439C2211yescharacteristic, complemented
207#2439C2212yescomplemented
208#2439C2211yescharacteristic, complemented
209#2438C2212yes—
210#2438C2212yes—
211#2437C2214yes—
212#2437C2212yes—
213#2437C2212yes—
214#2437C2214yes—
215#2429C2211yescharacteristic, complemented
216#2429C2211yescharacteristic, complemented
217#2428C2212yes—
218#2428C2212yes—
219#2428C2211yescharacteristic, complemented
220#2428C2211yescharacteristic, complemented
221#2427C2212yes—
222#2427C2212yes—
223#2427C2211yescharacteristic, complemented
224#2427C2211yescharacteristic, complemented
225#2426C2211yescharacteristic, complemented
226#2426C2211yescharacteristic, complemented
227#2425C2212yes—
228#2425C2212yes—
229#2424C2214yes—
230#2424C2212yes—
231#2424C2212yes—
232#2424C2214yes—
233#2423C2212yescomplemented
234#2422C2212yescomplemented
235#2422C2212yescomplemented
236#2422C2212yescomplemented
237#2421C2212yescomplemented
238#2420C2212yescomplemented
239#2420C2212yescomplemented
240#2420C2212yescomplemented
241#2419C2214yes—
242#2418C2214yes—
243#2418C2214yes—
244#2418C2214yes—
245#2416C2212yes—
246#2416C2212yes—
247#2416C2212yescomplemented
248#2416C2212yescomplemented
249#2414C2212yes—
250#2414C2212yes—
251#2414C2212yescomplemented
252#2414C2212yescomplemented
253#2412C2214yes—
254#2412C2214yes—
255#2412C2214yes—
256#2412C2214yes—
257#2411C2214yes—
258#2410C2214yes—
259#2410C2214yes—
260#2409C2214yes—
261#2409C2214yes—
262#2396C2212yescomplemented
263#2396C2212yescomplemented
264#2392C2212yescomplemented
265#2392C2212yescomplemented
266C2×#394C2212yes—
267C2×#393C2212yes—
268#2379C2214yescomplemented
269#2376C2214yescomplemented
270#2376C2214yescomplemented
271#2317C2211yescharacteristic
272#2317C2211yescharacteristic
273#2317C2211yescharacteristic
274#2316C2211yescharacteristic
275#2316C2211yescharacteristic
276#2316C2211yescharacteristic
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic
281#2311C2211yescharacteristic
282#2309C2211yescharacteristic
283C4×C22⋊Q8C2212yescomplemented
284C4×C22⋊Q8C2212yescomplemented
285C4×#121C2212yescomplemented
286C4×#121C2212yescomplemented
287#2297C2211yescharacteristic
288#2296C2211yescharacteristic
289#2296C2211yescharacteristic
290#2296C2211yescharacteristic
291C2×#390C2211yescharacteristic
292C2×#390C2211yescharacteristic
293C2×#388C2212yes—
294#2285C2211yescharacteristic
295#2280C2211yescharacteristic
296C2×#380C2211yescharacteristic
297C2×C4×C4⋊C4C2211yescharacteristic
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×Q8C2312yes—
302C23×D4C2311yescharacteristic
303C23×D4C2312yes—
304C24×C4C2311yescharacteristic
305#562—416no—
306#535—44no—
307#535—44no—
308#533—44no—
309#532—44no—
310C2×C4⋊Q8—44no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2311yescharacteristic
318C2×#127C2312yes—
319C2×#127C2311yescharacteristic
320C2×#127C2312yes—
321C2×#125C2311yescharacteristic
322C2×#125C2311yescharacteristic
323C2×#125C2314yes—
324C2×#124—48no—
325C2×#124C2314yes—
326C2×#124C2314yes—
327C2×#124C2314yes—
328C2×#124C2311yescharacteristic
329C2×#124C2311yescharacteristic
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#124C2314yes—
333C2×#124C2312yes—
334#525—44no—
335#525—44no—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2312yes—
341C2×#123C2312yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2311yescharacteristic
348C2×C22⋊Q8C2314yes—
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×#121—44no—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2311yescharacteristic
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2311yescharacteristic
366C2×#121C2314yes—
367C2×#121C2311yescharacteristic
368C2×#121C2312yes—
369C2×#121C2311yescharacteristic
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#120C2312yes—
382C2×#120C2312yes—
383C2×#120C2314yes—
384C2×#120C2314yes—
385#520—44no—
386#518—44no—
387C4×#41—44no—
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2311yescharacteristic
395C2×C4×D4C2312yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×#117—44no—
410C2×#117C2311yescharacteristic
411C2×#117C2311yescharacteristic
412C2×#117C2311yescharacteristic
413C2×#117C2311yescharacteristic
414C2×#117C2311yescharacteristic
415C2×#117C2311yescharacteristic
416C2×#117C2312yes—
417C2×#117C2312yes—
418C2×#117C2312yes—
419C2×#117C2311yescharacteristic
420C2×#117C2311yescharacteristic
421C2×#117C2312yes—
422C22×C4⋊C4C2311yescharacteristic
423C22×C4⋊C4C2311yescharacteristic
424C22×C4⋊C4C2311yescharacteristic
425C22×C4⋊C4C2312yes—
426C22×C4⋊C4C2311yescharacteristic
427C22×C4⋊C4C2311yescharacteristic
428C22×C4⋊C4C2312yes—
429C22×C22⋊C4C2311yescharacteristic
430C22×C22⋊C4C2312yes—
431C22×C22⋊C4C2312yes—
432C22×C22⋊C4C2311yescharacteristic
433C22×C22⋊C4C2312yes—
434C22×C22⋊C4C2312yes—
435C22×C22⋊C4C2312yes—
436C22×C22⋊C4C2314yes—
437C22×C22⋊C4C2312yes—
438C22×C22⋊C4C2312yes—
439C22×C42C2311yescharacteristic
440C22×C42C2311yescharacteristic
441C22×C42C2312yes—
442C22×C42C2312yes—
443C22×C42C2312yes—
444#400C2314yes—
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2312yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2314yes—
453#400C2314yes—
454#400C2314yes—
455#400C2312yes—
456#399C2314yes—
457#399C2314yes—
458#399C2314yes—
459#399C2314yes—
460#399C2314yes—
461#399C2314yes—
462#399C2314yes—
463#399C2314yes—
464#399C2312yes—
465#399C2312yes—
466#398C2312yes—
467#398C2314yes—
468#398C2314yes—
469#398C2314yes—
470#398C2314yes—
471#398C2312yes—
472#398C2314yes—
473#398C2314yes—
474#398C2312yes—
475#398C2314yes—
476#398C2314yes—
477#398C2312yes—
478#398C2312yes—
479#398C2312yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2312yes—
495#397C2312yes—
496#397C2314yes—
497#397C2314yes—
498#396C2312yes—
499#396C2312yes—
500#396C2314yes—
501#396C2314yes—
502#396C2312yes—
503#396C2314yes—
504#396C2312yes—
505#396C2314yes—
506#396C2314yes—
507#396C2312yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2312yes—
512#396C2314yes—
513#396C2314yes—
514#396C2312yes—
515#396C2312yes—
516#395C2314yes—
517#395C2314yes—
518#395C2314yes—
519#395C2312yes—
520#395C2312yes—
521#395C2314yes—
522#394C2312yes—
523#394C2312yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2312yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2312yes—
554#394C2312yes—
555#394C2312yes—
556#394C2314yes—
557#394C2314yes—
558#393C2312yes—
559#393C2314yes—
560#393C2314yes—
561#393C2314yes—
562#393C2314yes—
563#393C2314yes—
564#393C2312yes—
565#393C2314yes—
566#393C2314yes—
567#393C2314yes—
568#393C2314yes—
569#393C2314yes—
570#393C2314yes—
571#393C2314yes—
572#392C2312yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2312yes—
579#392C2314yes—
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2314yes—
586#391C2314yes—
587#391C2314yes—
588#391C2314yes—
589#391C2312yes—
590#391C2314yes—
591#391C2311yescharacteristic
592#391C2311yescharacteristic
593#391C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2314yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2314yes—
605#390C2314yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2314yes—
610#390C2312yes—
611#390C2314yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2311yescharacteristic
617#390C2311yescharacteristic
618#390C2312yes—
619#390C2312yes—
620#389C2314yes—
621#389C2314yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#389C2314yes—
643#389C2314yes—
644#389C2311yescharacteristic
645#389C2311yescharacteristic
646#389C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2312yes—
649#389C2311yescharacteristic
650#389C2311yescharacteristic
651#389C2311yescharacteristic
652#389C2311yescharacteristic
653#389C2312yes—
654#389C2312yes—
655#389C2312yes—
656#389C2311yescharacteristic
657#389C2311yescharacteristic
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2312yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2312yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2312yes—
676#388C2314yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#387C2314yes—
683#387C2312yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2312yes—
693#387C2314yes—
694#387C2312yes—
695#387C2312yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2312yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#386C2312yes—
720#386C2312yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2312yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2312yes—
734#385C2312yes—
735#385C2314yes—
736#385C2314yes—
737#385C2312yes—
738#385C2314yes—
739#385C2312yes—
740#385C2312yes—
741#385C2312yes—
742#385C2312yes—
743#385C2312yes—
744#384C2312yes—
745#384C2312yes—
746#384C2312yes—
747#384C2311yescharacteristic
748#384C2311yescharacteristic
749#382C2314yes—
750#382C2312yes—
751#382C2312yes—
752#382C2314yes—
753#382C2312yes—
754#382C2311yescharacteristic
755#382C2311yescharacteristic
756#381C2314yes—
757#381C2314yes—
758#381C2314yes—
759#381C2314yes—
760#381C2312yes—
761#380C2312yes—
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2314yes—
770#380C2314yes—
771#380C2312yes—
772#380C2312yes—
773#380C2314yes—
774#380C2314yes—
775#380C2314yes—
776#380C2314yes—
777#380C2314yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2314yes—
782#380C2314yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2311yescharacteristic
789#380C2311yescharacteristic
790#380C2311yescharacteristic
791#380C2311yescharacteristic
792#380C2312yes—
793#380C2312yes—
794#379C2314yes—
795#379C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2311yescharacteristic
820C2×#95C2312yes—
821C2×#95C2311yescharacteristic
822C2×#95C2312yes—
823C2×#95C2311yescharacteristic
824C25C2411yescharacteristic
825C25C2412yes—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C22×Q8—44no—
833C22×Q8—44no—
834C22×Q8—82no—
835C22×Q8C2411yescharacteristic
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×Q8C2414yes—
839C22×Q8C2412yes—
840C22×Q8C2414yes—
841C22×D4—24no—
842C22×D4—24no—
843C22×D4—24no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—82no—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2411yescharacteristic
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C23×C4—24no—
866C23×C4—24no—
867C23×C4—24no—
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2412yes—
871C23×C4C2411yescharacteristic
872C23×C4C2411yescharacteristic
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2412yes—
879C23×C4C2412yes—
880C23×C4C2411yescharacteristic
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2414yes—
887C23×C4C2414yes—
888C23×C4C2414yes—
889C23×C4C2411yescharacteristic
890C4⋊Q8—44no—
891C4⋊Q8—44no—
892C4⋊Q8—44no—
893C4⋊Q8—44no—
894C4⋊Q8—42no—
895C4⋊Q8—42no—
896C4⋊Q8—42no—
897#127—42no—
898#127—44no—
899#127—44no—
900#125—42no—
901#125—42no—
902#125—48no—
903#124—216no—
904#124—48no—
905#124—42no—
906#124—42no—
907#124—44no—
908#124—44no—
909#124—48no—
910#124—48no—
911#124—48no—
912#123—48no—
913#123—48no—
914#123—48no—
915#123—48no—
916#123—48no—
917#123—44no—
918#123—44no—
919#123—48no—
920C22⋊Q8—28no—
921C22⋊Q8—44no—
922C22⋊Q8—44no—
923C22⋊Q8—44no—
924C22⋊Q8—48no—
925C22⋊Q8—48no—
926C22⋊Q8—42no—
927C22⋊Q8—42no—
928C22⋊Q8—42no—
929C22⋊Q8—42no—
930C22⋊Q8—48no—
931C22⋊Q8—84no—
932C22⋊Q8—84no—
933C22⋊Q8—84no—
934#121—28no—
935#121—44no—
936#121—48no—
937#121—48no—
938#121—44no—
939#121—44no—
940#121—44no—
941#121—44no—
942#121—42no—
943#121—42no—
944#121—42no—
945#121—42no—
946#121—44no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—48no—
953#121—84no—
954#121—84no—
955#121—84no—
956#120—44no—
957#120—44no—
958#120—48no—
959#120—48no—
960C4×Q8—44no—
961C4×Q8—44no—
962C4×Q8—42no—
963C4×Q8—42no—
964C4×Q8—44no—
965C4×D4—42no—
966C4×D4—42no—
967C4×D4—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—48no—
981#117—24no—
982#117—24no—
983#117—24no—
984#117—24no—
985#117—24no—
986#117—24no—
987#117—44no—
988#117—44no—
989#117—44no—
990#117—42no—
991#117—42no—
992#117—44no—
993C2×C4⋊C4—24no—
994C2×C4⋊C4—24no—
995C2×C4⋊C4—24no—
996C2×C4⋊C4—42no—
997C2×C4⋊C4—42no—
998C2×C4⋊C4—44no—
999C2×C4⋊C4—44no—
1000C2×C4⋊C4C2411yescharacteristic
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C22⋊C4—24no—
1066C2×C22⋊C4—42no—
1067C2×C22⋊C4—44no—
1068C2×C22⋊C4—44no—
1069C2×C22⋊C4—44no—
1070C2×C22⋊C4—44no—
1071C2×C22⋊C4—48no—
1072C2×C22⋊C4—44no—
1073C2×C22⋊C4—44no—
1074C2×C22⋊C4—82no—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2411yescharacteristic
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2411yescharacteristic
1086C2×C22⋊C4C2411yescharacteristic
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2411yescharacteristic
1105C2×C22⋊C4C2411yescharacteristic
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2411yescharacteristic
1146C2×C42—24no—
1147C2×C42—24no—
1148C2×C42—44no—
1149C2×C42—44no—
1150C2×C42—44no—
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2411yescharacteristic
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2414yes—
1165C2×C42C2411yescharacteristic
1166C2×C42C2412yes—
1167C2×C42C2412yes—
1168C2×C42C2414yes—
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2414yes—
1172#95C2411yescharacteristic
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2411yescharacteristic
1176#95C2411yescharacteristic
1177#95C2411yescharacteristic
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
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#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230C24—22no—
1231C24—22no—
1232C24—22no—
1233C24—22no—
1234C24—24no—
1235C24—24no—
1236C24—24no—
1237C24—41no—
1238C24—41no—
1239C24—41no—
1240C24—42no—
1241C24—42no—
1242C24—42no—
1243C24—42no—
1244C24C2511yescharacteristic
1245C24C2514yes—
1246C24C2512yes—
1247C24C2512yes—
1248C24C2511yescharacteristic
1249C24C2511yescharacteristic
1250#41—416no—
1251#41—416no—
1252C2×Q8—22no—
1253C2×Q8—22no—
1254C2×Q8—22no—
1255C2×Q8—22no—
1256C2×Q8—24no—
1257C2×Q8—28no—
1258C2×Q8—22no—
1259C2×Q8—22no—
1260C2×Q8—42no—
1261C2×Q8—42no—
1262C2×Q8—42no—
1263C2×Q8—42no—
1264C2×Q8—44no—
1265C2×Q8—44no—
1266C2×Q8—44no—
1267C2×Q8—44no—
1268C2×Q8—44no—
1269C2×Q8—42no—
1270C2×Q8—816no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—28no—
1280C2×D4—24no—
1281C2×D4—22no—
1282C2×D4—24no—
1283C2×D4—22no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—22no—
1292C2×D4—22no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—416no—
1326C2×D4—816no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—24no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—24no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—24no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—24no—
1347C22×C4—22no—
1348C22×C4—22no—
1349C22×C4—24no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—22no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—22no—
1359C22×C4—24no—
1360C22×C4—24no—
1361C22×C4—42no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—42no—
1365C22×C4—41no—
1366C22×C4—42no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—42no—
1376C22×C4—42no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—416no—
1391C22×C4H(5,𝔽2)14yes—
1392C22×C4H(5,𝔽2)14yes—
1393C22×C42−1+414yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2512yes—
1396C22×C4C2514yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C22×C4C2511yescharacteristic
1404C22×C4C2511yescharacteristic
1405C22×C4C2512yes—
1406C22×C4C2512yes—
1407C22×C4C2514yes—
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2514yes—
1415C22×C4C2512yes—
1416C22×C4C2511yescharacteristic
1417C22×C4C2512yes—
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2511yescharacteristic
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C4⋊C4—24no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—42no—
1448C4⋊C4—42no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—42no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—42no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—42no—
1480C4⋊C4—44no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4—44no—
1484C4⋊C4—44no—
1485C4⋊C4—44no—
1486C4⋊C4—44no—
1487C4⋊C4—44no—
1488C22⋊C4—22no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—28no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—22no—
1498C22⋊C4—22no—
1499C22⋊C4—28no—
1500C22⋊C4—28no—
1501C22⋊C4—24no—
1502C22⋊C4—22no—
1503C22⋊C4—22no—
1504C22⋊C4—28no—
1505C22⋊C4—24no—
1506C22⋊C4—44no—
1507C22⋊C4—41no—
1508C22⋊C4—41no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—42no—
1521C22⋊C4—44no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—42no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4H(5,𝔽2)14yes—
1559C42—22no—
1560C42—22no—
1561C42—22no—
1562C42—22no—
1563C42—22no—
1564C42—22no—
1565C42—22no—
1566C42—22no—
1567C42—24no—
1568C42—24no—
1569C42—24no—
1570C42—28no—
1571C42—24no—
1572C42—24no—
1573C42—24no—
1574C42—42no—
1575C42—42no—
1576C42—42no—
1577C42—42no—
1578C42—44no—
1579C42—44no—
1580C23—21no—
1581C23—21no—
1582C23—21no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—24no—
1592C23—22no—
1593C23—21no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—24no—
1598C23—24no—
1599C23—21no—
1600C23—22no—
1601C23—22no—
1602C23—21no—
1603C23—22no—
1604C23—22no—
1605C23—24no—
1606C23—24no—
1607C23—22no—
1608C23—21no—
1609C23—22no—
1610C23—22no—
1611C23—22no—
1612C23—24no—
1613C23—21no—
1614C23—21no—
1615C23—24no—
1616C23—22no—
1617C23—22no—
1618C23—44no—
1619C23—44no—
1620C23—44no—
1621C23—44no—
1622C23—48no—
1623C23—82no—
1624C23—82no—
1625C23—82no—
1626C23—84no—
1627C23—84no—
1628C23—84no—
1629C23—84no—
1630C23—84no—
1631C23—84no—
1632C23C2×H(5,𝔽2)12yes—
1633C23C2×H(5,𝔽2)12yes—
1634C23C2×H(5,𝔽2)12yes—
1635C23C2×2−1+412yes—
1636C23C2611yescharacteristic
1637Q8—44no—
1638Q8—44no—
1639Q8—84no—
1640Q8—88no—
1641Q8—84no—
1642Q8—88no—
1643D4—48no—
1644D4—48no—
1645D4—48no—
1646D4—48no—
1647D4—44no—
1648D4—44no—
1649D4—84no—
1650D4—84no—
1651D4—84no—
1652D4—88no—
1653D4—84no—
1654D4—84no—
1655D4—84no—
1656D4—88no—
1657D4—164no—
1658D4—164no—
1659D4—164no—
1660D4—164no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—24no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—24no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—24no—
1691C2×C4—21no—
1692C2×C4—24no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—24no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—24no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—24no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—22no—
1724C2×C4—24no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—24no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—44no—
1740C2×C4—44no—
1741C2×C4—44no—
1742C2×C4—48no—
1743C2×C4—44no—
1744C2×C4—44no—
1745C2×C4—44no—
1746C2×C4—44no—
1747C2×C4—44no—
1748C2×C4—48no—
1749C2×C4—48no—
1750C2×C4—84no—
1751C2×C4—84no—
1752C2×C4—84no—
1753C2×C4—84no—
1754C2×C4—82no—
1755C2×C4—84no—
1756C2×C4—84no—
1757C2×C4—164no—
1758C2×C4—164no—
1759C2×C4—164no—
1760C2×C4#562116yescomplemented
1761C2×C4C2×H(5,𝔽2)12yes—
1762C2×C4C2×H(5,𝔽2)12yes—
1763C2×C4C2×H(5,𝔽2)12yes—
1764C2×C4C2×H(5,𝔽2)12yes—
1765C2×C4C2×H(5,𝔽2)12yes—
1766C2×C4C2×H(5,𝔽2)12yes—
1767C2×C4C2×2−1+412yes—
1768C2×C4C2×2−1+412yes—
1769C2×C4#58512yes—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—22no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—42no—
1784C22—42no—
1785C22—41no—
1786C22—44no—
1787C22—42no—
1788C22—42no—
1789C22—41no—
1790C22—44no—
1791C22—42no—
1792C22—42no—
1793C22—41no—
1794C22—44no—
1795C22—44no—
1796C22—42no—
1797C22—42no—
1798C22—41no—
1799C22—44no—
1800C22—42no—
1801C22—41no—
1802C22—42no—
1803C22—41no—
1804C22—42no—
1805C22—42no—
1806C22—44no—
1807C22—42no—
1808C22—41no—
1809C22—42no—
1810C22—44no—
1811C22—88no—
1812C22—168no—
1813C22C2×#56214yes—
1814C22C22×H(5,𝔽2)11yescharacteristic
1815C22C22×H(5,𝔽2)11yescharacteristic
1816C22C22×H(5,𝔽2)11yescharacteristic
1817C22C22×2−1+411yescharacteristic
1818C22C2×#58511yescharacteristic
1819C22H(7,𝔽2)11yescharacteristic
1820C222−1+611yescharacteristic
1821C4—22no—
1822C4—22no—
1823C4—22no—
1824C4—44no—
1825C4—44no—
1826C4—41no—
1827C4—44no—
1828C4—42no—
1829C4—42no—
1830C4—41no—
1831C4—42no—
1832C4—42no—
1833C4—42no—
1834C4—42no—
1835C4—41no—
1836C4—42no—
1837C4—42no—
1838C4—41no—
1839C4—42no—
1840C4—42no—
1841C4—41no—
1842C4—41no—
1843C4—42no—
1844C4—42no—
1845C4—41no—
1846C4—42no—
1847C4—42no—
1848C4C2×#56214yes—
1849C4C2×#56214yes—
1850C2—24no—
1851C2—42no—
1852C2—82no—
1853C2—82no—
1854C2—81no—
1855C2—84no—
1856C2C22×#56211yescharacteristic
1857C2#6283511yescharacteristic
1858C2#6287911yescharacteristic
1859C2#6291211yescharacteristic
1860C2#6291411yescharacteristic
1861C2#6293011yescharacteristic
1862C2#6295411yescharacteristic
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. #53135C2semidirect
2. #53108C2semidirect
3. #53106C2semidirect
4. #53094C2semidirect
5. #53061C2semidirect
6. #53021C2semidirect
7. #52984C2semidirect
8. #52972C2semidirect
9. #52412C2semidirect
10. #52394C2semidirect
11. #46118C2semidirect
12. #45976C2semidirect
13. #45718C2semidirect
14. #45676C2semidirect
15. #45653C2semidirect
16. #45619C2semidirect
17. #45609C2semidirect
18. #45514C2semidirect
19. #45484C2semidirect
20. #45482C2semidirect
21. #35574C2semidirect
22. #35541C2semidirect
23. #35533C2semidirect
24. #35516C2semidirect
25. #35515C2semidirect
26. #35514C2semidirect
27. #35279C2semidirect
28. #35263C2semidirect
29. #35254C2semidirect
30. #35252C2semidirect
31. #35180C2semidirect
32. #35159C2semidirect
33. C2×#2491C2semidirect
34. #34743C2semidirect
35. #34739C2semidirect
36. C2×#562C22semidirect
50. #2857C22semidirect
51. #2857C22semidirect
53. #2855C22semidirect
54. #2854C22semidirect
55. #2854C22semidirect
56. #2854C22semidirect
60. #2841C22semidirect
61. #2837C22semidirect
62. #2837C22semidirect
63. #2837C22semidirect
64. #2832C22semidirect
65. #2832C22semidirect
66. #2831C22semidirect
67. #2830C22semidirect
68. #2829C22semidirect
69. #2827C22semidirect
70. #2826C22semidirect
71. #2824C22semidirect
72. #2824C22semidirect
73. #2820C22semidirect
74. #2819C22semidirect
75. #2816C22semidirect
76. #2816C22semidirect
77. #2814C22semidirect
78. #2813C22semidirect
79. #2813C22semidirect
80. #2800C22semidirect
81. #2798C22semidirect
82. #2788C22semidirect
83. #2783C22semidirect
84. #2779C22semidirect
85. #2754C22semidirect
86. #2751C22semidirect
87. #2750C22semidirect
88. #2744C22semidirect
89. #2743C22semidirect
90. #2741C22semidirect
91. #2740C22semidirect
92. #2730C22semidirect
93. #2730C22semidirect
94. #2730C22semidirect
95. #2711C22semidirect
96. #2710C22semidirect
97. #2710C22semidirect
98. #2708C22semidirect
99. #2706C22semidirect
100. #2704C22semidirect
101. #2701C22semidirect
102. #2700C22semidirect
103. #2700C22semidirect
104. #2696C22semidirect
105. #2696C22semidirect
106. #2692C22semidirect
107. #2692C22semidirect
108. #2687C22semidirect
109. #2686C22semidirect
110. #2686C22semidirect
111. #2686C22semidirect
112. #2681C22semidirect
113. #2681C22semidirect
114. #2676C22semidirect
115. #2676C22semidirect
116. #2672C22semidirect
117. #2672C22semidirect
118. #2671C22semidirect
119. #2671C22semidirect
122. #2628C22semidirect
123. #2628C22semidirect
124. #2625C22semidirect
125. #2624C22semidirect
126. #2624C22semidirect
127. #2624C22semidirect
130. #2592C22semidirect
131. #2592C22semidirect
132. #2580C22semidirect
133. #2580C22semidirect
135. #2568C22semidirect
136. #2568C22semidirect
137. #2567C22semidirect
138. #2563C22semidirect
139. #2563C22semidirect
140. #2562C22semidirect
141. #2562C22semidirect
142. #2548C22semidirect
143. #2548C22semidirect
144. #2547C22semidirect
145. #2545C22semidirect
146. #2544C22semidirect
147. #2542C22semidirect
148. #2541C22semidirect
149. #2538C22semidirect
150. #2538C22semidirect
155. #2509C22semidirect
156. #2509C22semidirect
157. #2508C22semidirect
158. #2508C22semidirect
159. #2507C22semidirect
160. #2507C22semidirect
161. #2506C22semidirect
162. #2506C22semidirect
173. #2487C22semidirect
174. #2487C22semidirect
175. #2486C22semidirect
176. #2486C22semidirect
177. #2485C22semidirect
178. #2485C22semidirect
179. #2485C22semidirect
180. #2485C22semidirect
181. #2454C22semidirect
182. #2454C22semidirect
183. #2452C22semidirect
184. #2452C22semidirect
185. #2452C22semidirect
186. #2452C22semidirect
187. #2451C22semidirect
188. #2451C22semidirect
189. #2448C22semidirect
190. #2448C22semidirect
191. #2447C22semidirect
192. #2447C22semidirect
193. #2445C22semidirect
194. #2445C22semidirect
195. #2445C22semidirect
196. #2445C22semidirect
197. #2442C22semidirect
198. #2442C22semidirect
199. #2441C22semidirect
200. #2441C22semidirect
201. #2440C22semidirect
202. #2440C22semidirect
203. #2440C22semidirect
204. #2440C22semidirect
205. #2439C22semidirect
206. #2439C22semidirect
207. #2439C22semidirect
208. #2439C22semidirect
215. #2429C22semidirect
216. #2429C22semidirect
219. #2428C22semidirect
220. #2428C22semidirect
223. #2427C22semidirect
224. #2427C22semidirect
225. #2426C22semidirect
226. #2426C22semidirect
233. #2423C22semidirect
234. #2422C22semidirect
235. #2422C22semidirect
236. #2422C22semidirect
237. #2421C22semidirect
238. #2420C22semidirect
239. #2420C22semidirect
240. #2420C22semidirect
247. #2416C22semidirect
248. #2416C22semidirect
251. #2414C22semidirect
252. #2414C22semidirect
262. #2396C22semidirect
263. #2396C22semidirect
264. #2392C22semidirect
265. #2392C22semidirect
268. #2379C22semidirect
269. #2376C22semidirect
270. #2376C22semidirect
283. C4×C22⋊Q8C22semidirect
284. C4×C22⋊Q8C22semidirect
285. C4×#121C22semidirect
286. C4×#121C22semidirect
1760. C2×C4#562semidirect

Maximal subgroups

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

subgroupindex
#531352
#531082
#531062
#530942
#530612
#530212
#529842
#529722
#524122
#523942
#461182
#459762
#457182
#456762
#456532
#456192
#456092
#455142
#454842
#454822
#355742
#355412
#355332
#355162
#355152
#355142
#352792
#352632
#352542
#352522
#351802
#351592
C2×#24912
#347432
#347392