Finite Group Databasebeta

← #8094782

Subgroups — #8094782

Order 512.

5260 conjugacy classes of subgroups.

The subgroup lattice has 1826 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53126C212yesmaximal, complemented
2#53126C212yesmaximal, complemented
3#53101C212yesmaximal, complemented
4#53094C212yesmaximal, complemented
5#53061C212yesmaximal, complemented
6#52995C212yesmaximal, complemented
7#52995C212yesmaximal, complemented
8#52963C212yesmaximal, complemented
9#52343C214yesmaximal, complemented
10#52317C214yesmaximal, complemented
11#46057C212yesmaximal, complemented
12#46044C212yesmaximal, complemented
13#46013C212yesmaximal, complemented
14#45997C212yesmaximal, complemented
15#45720C212yesmaximal, complemented
16#45641C212yesmaximal, complemented
17#45609C212yesmaximal, complemented
18#45530C214yesmaximal, complemented
19#45482C212yesmaximal, complemented
20#45445C214yesmaximal, complemented
21#35575C211yesmaximal, characteristic, complemented
22#35574C211yesmaximal, characteristic, complemented
23#35533C211yesmaximal, characteristic, complemented
24#35533C211yesmaximal, characteristic, complemented
25#35517C211yesmaximal, characteristic, complemented
26#35517C211yesmaximal, characteristic, complemented
27#35289C211yesmaximal, characteristic, complemented
28#35264C211yesmaximal, characteristic, complemented
29#35257C211yesmaximal, characteristic, complemented
30#35254C211yesmaximal, characteristic, complemented
31#35165C211yesmaximal, characteristic, complemented
32#35152C211yesmaximal, characteristic, complemented
33#34937C211yesmaximal, characteristic, complemented
34#34815C211yesmaximal, characteristic, complemented
35C2×#2452C211yesmaximal, characteristic, complemented
36C2×#562C2214yescomplemented
37C2×#544C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#535C2211yescharacteristic
41C2×#532C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C22×C4⋊Q8C2211yescharacteristic
45C22×C22⋊Q8C2212yes—
46C2×#520C2211yescharacteristic
47C2×#520C2211yescharacteristic
48C2×C4×#41C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic
50#2862C2212yescomplemented
51#2861C2212yes—
52#2858C2212yes—
53#2858C2212yescomplemented
54#2857C2212yescomplemented
55#2854C2212yes—
56#2854C2212yes—
57#2851C2212yescomplemented
58#2849C2214yes—
59#2847C2214yes—
60#2832C2214yescomplemented
61#2832C2214yescomplemented
62#2831C2214yescomplemented
63#2830C2214yescomplemented
64#2830C2214yescomplemented
65#2829C2214yescomplemented
66#2829C2214yescomplemented
67#2829C2214yescomplemented
68#2827C2214yescomplemented
69#2827C2214yescomplemented
70#2826C2214yescomplemented
71#2826C2214yescomplemented
72#2824C2214yescomplemented
73#2824C2214yescomplemented
74#2820C2214yescomplemented
75#2819C2214yescomplemented
76#2816C2214yescomplemented
77#2816C2214yescomplemented
78#2814C2214yescomplemented
79#2814C2214yescomplemented
80#2808C2214yescomplemented
81#2786C2214yescomplemented
82#2786C2214yescomplemented
83#2783C2214yescomplemented
84#2772C2214yescomplemented
85#2768C2214yescomplemented
86#2761C2214yescomplemented
87#2761C2214yescomplemented
88#2754C2214yescomplemented
89#2751C2214yescomplemented
90#2751C2214yescomplemented
91#2744C2214yescomplemented
92#2732C2214yescomplemented
93#2730C2214yescomplemented
94#2711C2214yescomplemented
95#2710C2214yescomplemented
96#2708C2214yescomplemented
97#2708C2214yescomplemented
98#2706C2214yescomplemented
99#2704C2214yescomplemented
100#2701C2214yescomplemented
101#2701C2214yescomplemented
102#2700C2214yescomplemented
103#2700C2214yescomplemented
104#2696C2214yescomplemented
105#2696C2214yescomplemented
106#2692C2214yescomplemented
107#2692C2214yescomplemented
108#2687C2214yescomplemented
109#2687C2214yescomplemented
110#2686C2214yescomplemented
111#2682C2214yescomplemented
112#2682C2214yescomplemented
113#2681C2214yescomplemented
114#2681C2214yescomplemented
115#2676C2214yescomplemented
116#2676C2214yescomplemented
117#2676C2214yescomplemented
118#2676C2214yescomplemented
119#2672C2214yescomplemented
120#2641C2212yes—
121#2640C2212yes—
122#2640C2212yescomplemented
123#2640C2212yescomplemented
124#2629C2212yescomplemented
125#2628C2212yescomplemented
126#2624C2212yes—
127#2624C2212yes—
128#2622C2214yes—
129#2617C2214yes—
130#2579C2214yes—
131#2564C2214yes—
132#2563C2212yescomplemented
133#2563C2212yescomplemented
134#2548C2212yes—
135#2548C2212yes—
136#2548C2211yescharacteristic, complemented
137#2547C2212yes—
138#2547C2212yescomplemented
139#2547C2211yescharacteristic, complemented
140#2547C2212yescomplemented
141#2546C2211yescharacteristic, complemented
142#2545C2212yes—
143#2545C2212yes—
144#2545C2211yescharacteristic, complemented
145#2545C2211yescharacteristic, complemented
146#2544C2212yes—
147#2544C2212yes—
148#2544C2212yes—
149#2544C2212yes—
150#2544C2211yescharacteristic, complemented
151#2544C2211yescharacteristic, complemented
152#2543C2212yes—
153#2543C2212yes—
154#2541C2212yes—
155#2541C2212yes—
156#2541C2212yes—
157#2541C2211yescharacteristic, complemented
158#2537C2212yes—
159#2537C2212yes—
160#2535C2212yes—
161#2535C2212yes—
162#2509C2211yescharacteristic, complemented
163#2509C2211yescharacteristic, complemented
164#2508C2211yescharacteristic, complemented
165#2508C2211yescharacteristic, complemented
166#2507C2211yescharacteristic, complemented
167#2507C2211yescharacteristic, complemented
168#2506C2211yescharacteristic, complemented
169#2506C2211yescharacteristic, complemented
170#2505C2212yes—
171#2505C2212yes—
172#2504C2214yes—
173#2491C2212yes—
174#2491C2212yes—
175#2490C2212yes—
176#2490C2212yes—
177#2487C2212yescomplemented
178#2487C2212yescomplemented
179#2486C2212yescomplemented
180#2486C2212yescomplemented
181#2485C2212yescomplemented
182#2485C2212yescomplemented
183#2485C2212yescomplemented
184#2485C2212yescomplemented
185#2473C2212yes—
186#2473C2212yes—
187#2472C2214yes—
188#2472C2214yes—
189#2454C2212yescomplemented
190#2454C2212yescomplemented
191#2453C2212yescomplemented
192#2453C2212yescomplemented
193#2452C2212yes—
194#2452C2212yes—
195#2452C2212yes—
196#2452C2212yes—
197#2452C2212yes—
198#2452C2212yes—
199#2452C2212yes—
200#2452C2212yes—
201#2452C2212yescomplemented
202#2452C2212yescomplemented
203#2452C2212yescomplemented
204#2452C2212yescomplemented
205#2451C2212yescomplemented
206#2451C2212yescomplemented
207#2451C2212yescomplemented
208#2451C2212yescomplemented
209#2450C2214yes—
210#2449C2214yes—
211#2448C2212yes—
212#2448C2212yes—
213#2448C2212yescomplemented
214#2448C2212yescomplemented
215#2447C2212yes—
216#2447C2212yes—
217#2447C2212yescomplemented
218#2447C2212yescomplemented
219#2446C2212yescomplemented
220#2446C2212yescomplemented
221#2445C2212yes—
222#2445C2212yes—
223#2445C2212yes—
224#2445C2212yes—
225#2445C2212yescomplemented
226#2445C2212yescomplemented
227#2444C2214yes—
228#2444C2214yes—
229#2443C2214yes—
230#2443C2214yes—
231#2442C2212yescomplemented
232#2441C2212yescomplemented
233#2440C2212yescomplemented
234#2440C2212yescomplemented
235#2440C2212yescomplemented
236#2439C2212yescomplemented
237#2439C2212yescomplemented
238#2439C2212yescomplemented
239#2436C2214yes—
240#2424C2214yes—
241#2424C2214yes—
242#2424C2214yes—
243#2424C2214yes—
244#2422C2212yes—
245#2422C2212yes—
246#2420C2212yes—
247#2420C2212yes—
248#2418C2214yes—
249#2418C2214yes—
250#2417C2214yes—
251#2416C2212yes—
252#2416C2212yes—
253#2416C2212yes—
254#2416C2212yes—
255#2416C2212yes—
256#2416C2212yes—
257#2414C2212yes—
258#2414C2212yes—
259#2414C2212yes—
260#2414C2212yes—
261#2409C2214yes—
262#2402C2212yescomplemented
263#2402C2212yescomplemented
264#2392C2212yescomplemented
265#2392C2212yescomplemented
266C2×#396C2212yes—
267C2×#393C2212yes—
268#2379C2214yescomplemented
269#2378C2214yescomplemented
270#2377C2214yescomplemented
271#2317C2211yescharacteristic
272#2316C2211yescharacteristic
273#2311C2211yescharacteristic
274#2311C2211yescharacteristic
275#2311C2211yescharacteristic
276#2311C2211yescharacteristic
277#2311C2211yescharacteristic
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280#2309C2211yescharacteristic
281C4×#125C2212yescomplemented
282C4×#125C2212yescomplemented
283C4×#121C2212yescomplemented
284C4×#121C2212yescomplemented
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2296C2211yescharacteristic
288#2296C2211yescharacteristic
289#2296C2211yescharacteristic
290#2296C2211yescharacteristic
291C2×#390C2211yescharacteristic
292C2×#390C2211yescharacteristic
293C2×#389C2211yescharacteristic
294C2×#389C2211yescharacteristic
295C2×#385C2212yes—
296#2285C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C22×#41C2311yescharacteristic
302C23×Q8C2312yes—
303C23×D4C2311yescharacteristic
304C24×C4C2312yes—
305#562—416no—
306#544—44no—
307#535—44no—
308#535—44no—
309#535—44no—
310#532—44no—
311#532—44no—
312#532—44no—
313C2×C4⋊Q8—44no—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2312yes—
320C2×C4⋊Q8C2312yes—
321C2×C4⋊Q8C2311yescharacteristic
322C2×C4⋊Q8C2311yescharacteristic
323C2×#127C2312yes—
324C2×#127C2311yescharacteristic
325C2×#127C2311yescharacteristic
326C2×#127C2311yescharacteristic
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#125C2312yes—
333C2×#124C2314yes—
334C2×#124C2314yes—
335C2×#124C2314yes—
336C2×#124C2312yes—
337C2×#124C2311yescharacteristic
338C2×#124C2311yescharacteristic
339C2×#124C2311yescharacteristic
340C2×#124C2311yescharacteristic
341C2×#124C2311yescharacteristic
342C2×#124C2311yescharacteristic
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×C22⋊Q8—48no—
353C2×C22⋊Q8C2314yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2314yes—
362C2×#121C2312yes—
363C2×#121C2314yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2314yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2312yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#120C2314yes—
383C2×#120C2314yes—
384C2×#120C2314yes—
385#520—44no—
386#520—44no—
387C4×#41—44no—
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2311yescharacteristic
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2312yes—
392C2×C4×D4—44no—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2312yes—
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×D4C2312yes—
406C2×C4×D4C2311yescharacteristic
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×#117C2311yescharacteristic
412C2×#117C2311yescharacteristic
413C2×#117C2311yescharacteristic
414C2×#117C2311yescharacteristic
415C2×#117C2311yescharacteristic
416C2×#117C2312yes—
417C2×#117C2312yes—
418C2×#117C2312yes—
419C22×C4⋊C4C2311yescharacteristic
420C22×C4⋊C4C2311yescharacteristic
421C22×C4⋊C4C2311yescharacteristic
422C22×C4⋊C4C2311yescharacteristic
423C22×C4⋊C4C2312yes—
424C22×C4⋊C4C2311yescharacteristic
425C22×C4⋊C4C2312yes—
426C22×C4⋊C4C2312yes—
427C22×C4⋊C4C2312yes—
428C22×C4⋊C4C2312yes—
429C22×C22⋊C4C2312yes—
430C22×C22⋊C4C2312yes—
431C22×C22⋊C4C2312yes—
432C22×C22⋊C4C2312yes—
433C22×C22⋊C4C2312yes—
434C22×C42C2311yescharacteristic
435C22×C42C2311yescharacteristic
436C22×C42C2311yescharacteristic
437C22×C42C2312yes—
438#400C2314yes—
439#400C2312yes—
440#400C2312yes—
441#400C2314yes—
442#400C2312yes—
443#400C2312yes—
444#400C2312yes—
445#400C2314yes—
446#400C2314yes—
447#400C2312yes—
448#400C2312yes—
449#400C2312yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#399C2314yes—
456#398C2312yes—
457#398C2312yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2312yes—
464#398C2312yes—
465#398C2314yes—
466#398C2312yes—
467#398C2312yes—
468#398C2312yes—
469#398C2312yes—
470#398C2312yes—
471#398C2312yes—
472#398C2314yes—
473#398C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2312yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2312yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#396C2312yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2312yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2312yes—
511#396C2312yes—
512#396C2314yes—
513#396C2314yes—
514#395C2314yes—
515#395C2314yes—
516#395C2314yes—
517#395C2314yes—
518#394C2312yes—
519#394C2312yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
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#394C2312yes—
537#394C2312yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2312yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2312yes—
552#393C2314yes—
553#393C2314yes—
554#393C2314yes—
555#393C2314yes—
556#393C2314yes—
557#393C2314yes—
558#393C2314yes—
559#393C2314yes—
560#393C2314yes—
561#393C2314yes—
562#393C2314yes—
563#393C2314yes—
564#393C2314yes—
565#393C2314yes—
566#392C2312yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2312yes—
574#391C2312yes—
575#391C2312yes—
576#391C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2314yes—
582#391C2314yes—
583#391C2314yes—
584#391C2311yescharacteristic
585#391C2314yes—
586#391C2314yes—
587#391C2314yes—
588#391C2311yescharacteristic
589#391C2311yescharacteristic
590#391C2311yescharacteristic
591#390C2314yes—
592#390C2314yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2314yes—
606#390C2314yes—
607#390C2314yes—
608#390C2312yes—
609#390C2311yescharacteristic
610#390C2312yes—
611#390C2314yes—
612#390C2314yes—
613#390C2312yes—
614#390C2314yes—
615#390C2312yes—
616#390C2311yescharacteristic
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2311yescharacteristic
621#390C2311yescharacteristic
622#390C2312yes—
623#390C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2311yescharacteristic
635#389C2312yes—
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2314yes—
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2312yes—
644#389C2311yescharacteristic
645#389C2312yes—
646#389C2314yes—
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2311yescharacteristic
650#389C2311yescharacteristic
651#389C2312yes—
652#389C2311yescharacteristic
653#389C2311yescharacteristic
654#389C2311yescharacteristic
655#389C2311yescharacteristic
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2312yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2312yes—
681#388C2312yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#386C2312yes—
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#386C2314yes—
717#386C2314yes—
718#386C2312yes—
719#386C2314yes—
720#386C2314yes—
721#386C2312yes—
722#386C2314yes—
723#386C2314yes—
724#386C2312yes—
725#386C2314yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2312yes—
738#385C2314yes—
739#385C2312yes—
740#385C2314yes—
741#385C2314yes—
742#385C2312yes—
743#385C2314yes—
744#385C2314yes—
745#385C2312yes—
746#385C2312yes—
747#385C2312yes—
748#385C2314yes—
749#385C2312yes—
750#385C2312yes—
751#385C2314yes—
752#384C2312yes—
753#384C2311yescharacteristic
754#384C2311yescharacteristic
755#382C2312yes—
756#382C2312yes—
757#382C2314yes—
758#382C2314yes—
759#382C2312yes—
760#382C2311yescharacteristic
761#382C2311yescharacteristic
762#381C2314yes—
763#381C2314yes—
764#381C2314yes—
765#381C2314yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2314yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2314yes—
784#380C2314yes—
785#380C2314yes—
786#380C2314yes—
787#380C2312yes—
788#380C2312yes—
789#379C2314yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2311yescharacteristic
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818#376C2312yes—
819C2×#95C2312yes—
820C2×#95C2311yescharacteristic
821C2×#95C2312yes—
822C2×#95C2311yescharacteristic
823C43C2312yes—
824C25C2412yes—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C22×Q8—44no—
835C22×Q8—44no—
836C22×Q8—82no—
837C22×Q8C2411yescharacteristic
838C22×Q8C2411yescharacteristic
839C22×Q8C2411yescharacteristic
840C22×Q8C2414yes—
841C22×Q8C2414yes—
842C22×Q8C2414yes—
843C22×D4—24no—
844C22×D4—24no—
845C22×D4—24no—
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2411yescharacteristic
853C22×D4C2411yescharacteristic
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C23×C4—44no—
867C23×C4—44no—
868C23×C4—82no—
869C23×C4C2412yes—
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2411yescharacteristic
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2414yes—
883C23×C4C2414yes—
884C23×C4C2414yes—
885C23×C4C2414yes—
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C4⋊Q8—44no—
889C4⋊Q8—44no—
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—42no—
899#127—42no—
900#127—44no—
901#127—44no—
902#127—44no—
903#125—28no—
904#125—44no—
905#125—44no—
906#125—44no—
907#124—48no—
908#124—48no—
909#124—42no—
910#124—42no—
911#124—42no—
912#124—42no—
913#124—42no—
914#124—42no—
915#124—44no—
916#124—44no—
917#124—44no—
918#124—48no—
919#124—84no—
920#123—48no—
921#123—48no—
922#123—48no—
923#123—48no—
924#123—84no—
925#123—84no—
926C22⋊Q8—216no—
927C22⋊Q8—48no—
928C22⋊Q8—48no—
929C22⋊Q8—48no—
930C22⋊Q8—48no—
931C22⋊Q8—48no—
932C22⋊Q8—48no—
933C22⋊Q8—48no—
934C22⋊Q8—84no—
935#121—28no—
936#121—48no—
937#121—44no—
938#121—48no—
939#121—48no—
940#121—44no—
941#121—44no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—44no—
946#121—48no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—84no—
954#121—84no—
955#120—48no—
956#120—48no—
957#120—48no—
958C4×Q8—42no—
959C4×Q8—42no—
960C4×Q8—44no—
961C4×Q8—44no—
962C4×D4—44no—
963C4×D4—44no—
964C4×D4—44no—
965C4×D4—44no—
966C4×D4—42no—
967C4×D4—42no—
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—48no—
979C4×D4—48no—
980#117—24no—
981#117—24no—
982#117—24no—
983#117—24no—
984#117—24no—
985#117—44no—
986#117—44no—
987#117—44no—
988C2×C4⋊C4—24no—
989C2×C4⋊C4—24no—
990C2×C4⋊C4—24no—
991C2×C4⋊C4—24no—
992C2×C4⋊C4—42no—
993C2×C4⋊C4—44no—
994C2×C4⋊C4—44no—
995C2×C4⋊C4—44no—
996C2×C4⋊C4—44no—
997C2×C4⋊C4—44no—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C22⋊C4—44no—
1066C2×C22⋊C4—44no—
1067C2×C22⋊C4—44no—
1068C2×C22⋊C4—44no—
1069C2×C22⋊C4—82no—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2414yes—
1133C2×C42—24no—
1134C2×C42—24no—
1135C2×C42—24no—
1136C2×C42—44no—
1137C2×C42C2411yescharacteristic
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2412yes—
1153C2×C42C2412yes—
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2414yes—
1157C2×C42C2414yes—
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2412yes—
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2411yescharacteristic
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2411yescharacteristic
1168#95C2411yescharacteristic
1169#95C2411yescharacteristic
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
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#95C2414yes—
1207#95C2414yes—
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—
1224C24—24no—
1225C24—24no—
1226C24—24no—
1227C24—42no—
1228C24—42no—
1229C24—42no—
1230C24—42no—
1231C24C2514yes—
1232C24C2512yes—
1233C24C2512yes—
1234C24C2512yes—
1235C24C2511yescharacteristic
1236#41—416no—
1237#41—416no—
1238#41—416no—
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—22no—
1242C2×Q8—22no—
1243C2×Q8—22no—
1244C2×Q8—22no—
1245C2×Q8—28no—
1246C2×Q8—22no—
1247C2×Q8—22no—
1248C2×Q8—22no—
1249C2×Q8—44no—
1250C2×Q8—44no—
1251C2×Q8—44no—
1252C2×Q8—44no—
1253C2×Q8—44no—
1254C2×Q8—44no—
1255C2×Q8—44no—
1256C2×Q8—44no—
1257C2×Q8—816no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—22no—
1270C2×D4—22no—
1271C2×D4—22no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—22no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—24no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—416no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—24no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—24no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—22no—
1341C22×C4—24no—
1342C22×C4—28no—
1343C22×C4—42no—
1344C22×C4—41no—
1345C22×C4—41no—
1346C22×C4—42no—
1347C22×C4—41no—
1348C22×C4—41no—
1349C22×C4—42no—
1350C22×C4—42no—
1351C22×C4—42no—
1352C22×C4—42no—
1353C22×C4—42no—
1354C22×C4—41no—
1355C22×C4—42no—
1356C22×C4—41no—
1357C22×C4—44no—
1358C22×C4—44no—
1359C22×C4—42no—
1360C22×C4—44no—
1361C22×C4—44no—
1362C22×C4—42no—
1363C22×C4—44no—
1364C22×C4—42no—
1365C22×C4—41no—
1366C22×C4—41no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—816no—
1374C22×C4H(5,𝔽2)14yes—
1375C22×C4H(5,𝔽2)14yes—
1376C22×C42−1+414yes—
1377C22×C4C2511yescharacteristic
1378C22×C4C2511yescharacteristic
1379C22×C4C2512yes—
1380C22×C4C2512yes—
1381C22×C4C2512yes—
1382C22×C4C2512yes—
1383C22×C4C2512yes—
1384C22×C4C2512yes—
1385C22×C4C2511yescharacteristic
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2511yescharacteristic
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2512yes—
1394C22×C4C2514yes—
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2514yes—
1398C22×C4C2514yes—
1399C22×C4C2512yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2511yescharacteristic
1403C22×C4C2511yescharacteristic
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—22no—
1414C4⋊C4—22no—
1415C4⋊C4—22no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—28no—
1419C4⋊C4—28no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—24no—
1436C4⋊C4—41no—
1437C4⋊C4—41no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
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—42no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—44no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—42no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—42no—
1472C4⋊C4—42no—
1473C4⋊C4H(5,𝔽2)14yes—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—28no—
1480C22⋊C4—28no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—28no—
1484C22⋊C4—24no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
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—42no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—44no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—42no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—42no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C42—22no—
1538C42—22no—
1539C42—22no—
1540C42—22no—
1541C42—22no—
1542C42—22no—
1543C42—22no—
1544C42—22no—
1545C42—22no—
1546C42—22no—
1547C42—22no—
1548C42—22no—
1549C42—24no—
1550C42—24no—
1551C42—24no—
1552C42—24no—
1553C42—24no—
1554C42—24no—
1555C42—24no—
1556C42—42no—
1557C42—42no—
1558C42—42no—
1559C42—44no—
1560C42—44no—
1561C42—42no—
1562C23—21no—
1563C23—21no—
1564C23—21no—
1565C23—21no—
1566C23—24no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—24no—
1574C23—24no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—22no—
1581C23—24no—
1582C23—22no—
1583C23—24no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—24no—
1590C23—22no—
1591C23—22no—
1592C23—24no—
1593C23—22no—
1594C23—48no—
1595C23—48no—
1596C23—48no—
1597C23—84no—
1598C23—84no—
1599C23—84no—
1600C23—84no—
1601C23C2×H(5,𝔽2)12yes—
1602C23C2×H(5,𝔽2)12yes—
1603C23C2×2−1+412yes—
1604C23C2611yescharacteristic
1605Q8—44no—
1606Q8—44no—
1607Q8—44no—
1608Q8—88no—
1609Q8—88no—
1610Q8—164no—
1611D4—48no—
1612D4—48no—
1613D4—48no—
1614D4—48no—
1615D4—48no—
1616D4—44no—
1617D4—44no—
1618D4—44no—
1619D4—84no—
1620D4—84no—
1621D4—84no—
1622D4—84no—
1623D4—84no—
1624D4—84no—
1625D4—164no—
1626D4—164no—
1627D4—164no—
1628D4—164no—
1629D4—164no—
1630D4—164no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
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—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—24no—
1661C2×C4—24no—
1662C2×C4—22no—
1663C2×C4—24no—
1664C2×C4—24no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—24no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—24no—
1674C2×C4—21no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—24no—
1696C2×C4—24no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—44no—
1712C2×C4—44no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—48no—
1716C2×C4—48no—
1717C2×C4—48no—
1718C2×C4—48no—
1719C2×C4—84no—
1720C2×C4—88no—
1721C2×C4—84no—
1722C2×C4—82no—
1723C2×C4—82no—
1724C2×C4—84no—
1725C2×C4—84no—
1726C2×C4—88no—
1727C2×C4—164no—
1728C2×C4—164no—
1729C2×C4#562116yescomplemented
1730C2×C4C2×H(5,𝔽2)12yes—
1731C2×C4C2×H(5,𝔽2)12yes—
1732C2×C4C2×H(5,𝔽2)12yes—
1733C2×C4C2×H(5,𝔽2)12yes—
1734C2×C4C2×H(5,𝔽2)12yes—
1735C2×C4C2×H(5,𝔽2)12yes—
1736C2×C4C2×H(5,𝔽2)12yes—
1737C2×C4C2×2−1+412yes—
1738C2×C4C2×2−1+412yes—
1739C2×C4#58512yes—
1740C22—22no—
1741C22—22no—
1742C22—22no—
1743C22—22no—
1744C22—22no—
1745C22—22no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—44no—
1750C22—42no—
1751C22—42no—
1752C22—42no—
1753C22—44no—
1754C22—44no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—44no—
1762C22—42no—
1763C22—42no—
1764C22—42no—
1765C22—44no—
1766C22—42no—
1767C22—42no—
1768C22—42no—
1769C22—44no—
1770C22—42no—
1771C22—42no—
1772C22—42no—
1773C22—44no—
1774C22—816no—
1775C22C2×#56214yes—
1776C22C22×H(5,𝔽2)11yescharacteristic
1777C22C22×H(5,𝔽2)11yescharacteristic
1778C22C22×H(5,𝔽2)11yescharacteristic
1779C22C22×2−1+411yescharacteristic
1780C22C2×#58511yescharacteristic
1781C22H(7,𝔽2)11yescharacteristic
1782C222−1+611yescharacteristic
1783C4—22no—
1784C4—22no—
1785C4—22no—
1786C4—22no—
1787C4—41no—
1788C4—44no—
1789C4—42no—
1790C4—42no—
1791C4—42no—
1792C4—42no—
1793C4—41no—
1794C4—41no—
1795C4—42no—
1796C4—42no—
1797C4—41no—
1798C4—44no—
1799C4—41no—
1800C4—44no—
1801C4—42no—
1802C4—42no—
1803C4—42no—
1804C4—42no—
1805C4—42no—
1806C4—42no—
1807C4—41no—
1808C4—41no—
1809C4—41no—
1810C4—42no—
1811C4C2×#56214yes—
1812C4C2×#56214yes—
1813C2—24no—
1814C2—82no—
1815C2—82no—
1816C2—82no—
1817C2—84no—
1818C2C22×#56211yescharacteristic
1819C2#6283411yescharacteristic
1820C2#6287811yescharacteristic
1821C2#6291211yescharacteristic
1822C2#6291311yescharacteristic
1823C2#6292611yescharacteristic
1824C2#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. #53126C2semidirect
2. #53126C2semidirect
3. #53101C2semidirect
4. #53094C2semidirect
5. #53061C2semidirect
6. #52995C2semidirect
7. #52995C2semidirect
8. #52963C2semidirect
9. #52343C2semidirect
10. #52317C2semidirect
11. #46057C2semidirect
12. #46044C2semidirect
13. #46013C2semidirect
14. #45997C2semidirect
15. #45720C2semidirect
16. #45641C2semidirect
17. #45609C2semidirect
18. #45530C2semidirect
19. #45482C2semidirect
20. #45445C2semidirect
21. #35575C2semidirect
22. #35574C2semidirect
23. #35533C2semidirect
24. #35533C2semidirect
25. #35517C2semidirect
26. #35517C2semidirect
27. #35289C2semidirect
28. #35264C2semidirect
29. #35257C2semidirect
30. #35254C2semidirect
31. #35165C2semidirect
32. #35152C2semidirect
33. #34937C2semidirect
34. #34815C2semidirect
35. C2×#2452C2semidirect
36. C2×#562C22semidirect
50. #2862C22semidirect
53. #2858C22semidirect
54. #2857C22semidirect
57. #2851C22semidirect
60. #2832C22semidirect
61. #2832C22semidirect
62. #2831C22semidirect
63. #2830C22semidirect
64. #2830C22semidirect
65. #2829C22semidirect
66. #2829C22semidirect
67. #2829C22semidirect
68. #2827C22semidirect
69. #2827C22semidirect
70. #2826C22semidirect
71. #2826C22semidirect
72. #2824C22semidirect
73. #2824C22semidirect
74. #2820C22semidirect
75. #2819C22semidirect
76. #2816C22semidirect
77. #2816C22semidirect
78. #2814C22semidirect
79. #2814C22semidirect
80. #2808C22semidirect
81. #2786C22semidirect
82. #2786C22semidirect
83. #2783C22semidirect
84. #2772C22semidirect
85. #2768C22semidirect
86. #2761C22semidirect
87. #2761C22semidirect
88. #2754C22semidirect
89. #2751C22semidirect
90. #2751C22semidirect
91. #2744C22semidirect
92. #2732C22semidirect
93. #2730C22semidirect
94. #2711C22semidirect
95. #2710C22semidirect
96. #2708C22semidirect
97. #2708C22semidirect
98. #2706C22semidirect
99. #2704C22semidirect
100. #2701C22semidirect
101. #2701C22semidirect
102. #2700C22semidirect
103. #2700C22semidirect
104. #2696C22semidirect
105. #2696C22semidirect
106. #2692C22semidirect
107. #2692C22semidirect
108. #2687C22semidirect
109. #2687C22semidirect
110. #2686C22semidirect
111. #2682C22semidirect
112. #2682C22semidirect
113. #2681C22semidirect
114. #2681C22semidirect
115. #2676C22semidirect
116. #2676C22semidirect
117. #2676C22semidirect
118. #2676C22semidirect
119. #2672C22semidirect
122. #2640C22semidirect
123. #2640C22semidirect
124. #2629C22semidirect
125. #2628C22semidirect
132. #2563C22semidirect
133. #2563C22semidirect
136. #2548C22semidirect
138. #2547C22semidirect
139. #2547C22semidirect
140. #2547C22semidirect
141. #2546C22semidirect
144. #2545C22semidirect
145. #2545C22semidirect
150. #2544C22semidirect
151. #2544C22semidirect
157. #2541C22semidirect
162. #2509C22semidirect
163. #2509C22semidirect
164. #2508C22semidirect
165. #2508C22semidirect
166. #2507C22semidirect
167. #2507C22semidirect
168. #2506C22semidirect
169. #2506C22semidirect
177. #2487C22semidirect
178. #2487C22semidirect
179. #2486C22semidirect
180. #2486C22semidirect
181. #2485C22semidirect
182. #2485C22semidirect
183. #2485C22semidirect
184. #2485C22semidirect
189. #2454C22semidirect
190. #2454C22semidirect
191. #2453C22semidirect
192. #2453C22semidirect
201. #2452C22semidirect
202. #2452C22semidirect
203. #2452C22semidirect
204. #2452C22semidirect
205. #2451C22semidirect
206. #2451C22semidirect
207. #2451C22semidirect
208. #2451C22semidirect
213. #2448C22semidirect
214. #2448C22semidirect
217. #2447C22semidirect
218. #2447C22semidirect
219. #2446C22semidirect
220. #2446C22semidirect
225. #2445C22semidirect
226. #2445C22semidirect
231. #2442C22semidirect
232. #2441C22semidirect
233. #2440C22semidirect
234. #2440C22semidirect
235. #2440C22semidirect
236. #2439C22semidirect
237. #2439C22semidirect
238. #2439C22semidirect
262. #2402C22semidirect
263. #2402C22semidirect
264. #2392C22semidirect
265. #2392C22semidirect
268. #2379C22semidirect
269. #2378C22semidirect
270. #2377C22semidirect
281. C4×#125C22semidirect
282. C4×#125C22semidirect
283. C4×#121C22semidirect
284. C4×#121C22semidirect
1729. C2×C4#562semidirect

Maximal subgroups

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

subgroupindex
#531262
#531012
#530942
#530612
#529952
#529632
#523432
#523172
#460572
#460442
#460132
#459972
#457202
#456412
#456092
#455302
#454822
#454452
#355752
#355742
#355332
#355172
#352892
#352642
#352572
#352542
#351652
#351522
#349372
#348152
C2×#24522