Finite Group Databasebeta

← #7780447

Subgroups — #7780447

Order 512.

5024 conjugacy classes of subgroups.

The subgroup lattice has 1728 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59821C211yesmaximal, characteristic, complemented
2#59821C211yesmaximal, characteristic, complemented
3#59566C212yesmaximal, complemented
4#59428C211yesmaximal, characteristic, complemented
5#59413C211yesmaximal, characteristic, complemented
6#59025C212yesmaximal, complemented
7#51022C214yesmaximal, complemented
8#49828C214yesmaximal, complemented
9#46760C214yesmaximal, complemented
10#46595C214yesmaximal, complemented
11#45677C212yesmaximal, complemented
12#45624C212yesmaximal, complemented
13#44955C212yesmaximal
14#44923C212yesmaximal, complemented
15#42837C212yesmaximal, complemented
16#42567C212yesmaximal, complemented
17#39959C212yesmaximal, complemented
18#39932C212yesmaximal, complemented
19#39244C212yesmaximal, complemented
20#39167C211yesmaximal, characteristic, complemented
21#39065C212yesmaximal, complemented
22#38978C211yesmaximal, characteristic, complemented
23#38917C212yesmaximal, complemented
24#38254C212yesmaximal, complemented
25#37357C212yesmaximal, complemented
26#36508C211yesmaximal, characteristic, complemented
27#36445C211yesmaximal, characteristic, complemented
28#36405C211yesmaximal, characteristic, complemented
29#36270C211yesmaximal, characteristic, complemented
30#36161C211yesmaximal, characteristic, complemented
31D4×C22⋊Q8C211yesmaximal, characteristic, complemented
32#35291C211yesmaximal, characteristic, complemented
33#34916C211yesmaximal, characteristic, complemented
34#34481C212yesmaximal, complemented
35C4×#535C211yesmaximal, characteristic
36C2×#557C2211yescharacteristic, complemented
37C2×#556C2212yes—
38C2×#556C2211yescharacteristic
39C2×#556C2212yescomplemented
40C2×#556C2211yescharacteristic, complemented
41C2×#552C2212yescomplemented
42C2×D4×Q8C2211yescharacteristic
43C2×#535C2211yescharacteristic
44C22×C22⋊Q8C2212yes—
45C2×C4×#41C2211yescharacteristic
46C22×C4×D4C2211yescharacteristic
47#2862C2211yescharacteristic, complemented
48#2861C2212yes—
49#2860C2212yescomplemented
50#2859C2211yescharacteristic, complemented
51#2857C2211yescharacteristic
52#2857C2211yescharacteristic
53#2857C2212yescomplemented
54#2855C2212yescomplemented
55#2848C2212yes—
56#2848C2212yes—
57#2838C2214yescomplemented
58#2827C2214yescomplemented
59#2807C2214yes—
60#2805C2214yescomplemented
61#2796C2214yes—
62#2796C2214yescomplemented
63#2792C2214yescomplemented
64#2790C2214yescomplemented
65#2786C2214yes—
66#2777C2214yescomplemented
67#2772C2214yescomplemented
68#2771C2214yescomplemented
69#2761C2214yescomplemented
70#2757C2214yes—
71#2757C2214yescomplemented
72#2751C2214yescomplemented
73#2750C2214yescomplemented
74#2746C2214yescomplemented
75#2746C2214yescomplemented
76#2742C2214yescomplemented
77#2737C2214yescomplemented
78#2735C2214yes—
79#2735C2214yes—
80#2727C2214yescomplemented
81#2727C2214yescomplemented
82#2723C2214yes—
83#2723C2214yescomplemented
84#2723C2214yescomplemented
85#2723C2214yescomplemented
86#2722C2214yescomplemented
87#2720C2214yes—
88#2720C2214yescomplemented
89#2715C2214yescomplemented
90#2704C2214yescomplemented
91#2700C2214yescomplemented
92#2695C2214yescomplemented
93#2691C2214yes—
94#2689C2214yescomplemented
95#2689C2214yescomplemented
96#2685C2214yes—
97#2685C2214yes—
98#2672C2214yes—
99#2664C2214yescomplemented
100#2650C2214yescomplemented
101#2649C2214yescomplemented
102#2645C2212yescomplemented
103#2644C2212yes—
104#2640C2212yescomplemented
105#2625C2212yes—
106#2623C2214yescomplemented
107#2601C2214yes—
108#2601C2214yescomplemented
109#2595C2214yes—
110#2594C2214yescomplemented
111#2590C2212yescomplemented
112#2589C2212yes—
113#2588C2212yescomplemented
114#2587C2212yes—
115#2587C2214yes—
116#2585C2214yescomplemented
117#2584C2214yescomplemented
118#2582C2211yescharacteristic, complemented
119#2581C2212yescomplemented
120#2577C2214yescomplemented
121#2574C2214yescomplemented
122#2567C2212yescomplemented
123#2565C2212yescomplemented
124#2562C2212yescomplemented
125#2560C2214yes—
126#2559C2214yes—
127#2558C2214yescomplemented
128#2556C2214yescomplemented
129#2550C2212yescomplemented
130#2548C2212yes—
131#2548C2212yes—
132#2547C2211yescharacteristic
133#2546C2211yescharacteristic, complemented
134#2545C2212yes—
135#2544C2212yes—
136#2542C2212yes—
137#2542C2211yescharacteristic
138#2542C2212yescomplemented
139#2542C2211yescharacteristic, complemented
140#2538C2211yescharacteristic
141#2538C2211yescharacteristic
142#2538C2212yes—
143#2538C2212yescomplemented
144#2538C2211yescharacteristic, complemented
145#2536C2212yescomplemented
146#2519C2214yescomplemented
147#2519C2214yescomplemented
148#2516C2214yes—
149#2514C2212yescomplemented
150#2512C2212yes—
151#2512C2212yescomplemented
152#2512C2214yescomplemented
153#2511C2211yescharacteristic, complemented
154#2509C2212yescomplemented
155#2509C2212yescomplemented
156#2508C2212yescomplemented
157#2507C2211yescharacteristic, complemented
158#2506C2212yescomplemented
159#2499C2212yescomplemented
160#2497C2211yescharacteristic
161#2496C2212yescomplemented
162#2496C2212yescomplemented
163#2495C2212yes—
164#2495C2212yescomplemented
165#2494C2212yes—
166#2492C2211yescharacteristic
167#2489C2212yes—
168#2489C2212yescomplemented
169#2485C2212yes—
170#2485C2212yes—
171#2482C2214yes—
172#2481C2214yescomplemented
173#2480C2214yes—
174#2480C2214yes—
175#2478C2214yescomplemented
176#2478C2214yescomplemented
177#2476C2214yes—
178#2472C2214yes—
179#2468C2214yes—
180#2466C2214yes—
181#2465C2214yes—
182#2454C2214yes—
183#2454C2212yes—
184#2454C2212yescomplemented
185#2453C2212yescomplemented
186#2452C2212yes—
187#2451C2212yescomplemented
188#2451C2211yescharacteristic, complemented
189#2449C2214yes—
190#2448C2212yes—
191#2448C2212yes—
192#2448C2214yescomplemented
193#2448C2212yescomplemented
194#2447C2212yes—
195#2447C2212yes—
196#2447C2212yescomplemented
197#2446C2212yescomplemented
198#2446C2211yescharacteristic, complemented
199#2445C2212yes—
200#2441C2212yes—
201#2441C2212yescomplemented
202#2441C2214yescomplemented
203#2440C2212yes—
204#2440C2212yescomplemented
205#2437C2214yes—
206#2435C2212yes—
207#2434C2212yescomplemented
208#2432C2212yes—
209#2429C2211yescharacteristic
210#2429C2212yescomplemented
211#2429C2212yescomplemented
212#2429C2212yescomplemented
213#2423C2211yescharacteristic
214#2423C2212yescomplemented
215#2421C2212yes—
216#2417C2212yes—
217#2415C2212yes—
218#2415C2212yes—
219#2415C2212yescomplemented
220#2415C2212yescomplemented
221#2415C2212yescomplemented
222#2415C2212yescomplemented
223#2415C2212yescomplemented
224#2415C2212yescomplemented
225#2411C2214yes—
226#2409C2212yes—
227#2409C2212yescomplemented
228#2409C2212yescomplemented
229#2402C2212yescomplemented
230#2396C2212yes—
231#2383C2214yescomplemented
232#2383C2214yescomplemented
233#2367C2212yes—
234#2367C2212yes—
235#2365C2212yescomplemented
236#2362C2212yes—
237#2362C2212yescomplemented
238#2362C2212yescomplemented
239#2360C2212yes—
240#2360C2214yescomplemented
241#2354C2211yescharacteristic
242#2354C2211yescharacteristic, complemented
243#2354C2212yescomplemented
244#2352C2212yescomplemented
245Q8×C4⋊C4C2211yescharacteristic, complemented
246Q8×C4⋊C4C2212yescomplemented
247Q8×C4⋊C4C2212yescomplemented
248Q8×C4⋊C4C2212yescomplemented
249D4×C4⋊C4C2211yescharacteristic
250D4×C4⋊C4C2212yes—
251#2347C2214yescomplemented
252#2344C2212yescomplemented
253#2341C2212yes—
254Q8×C22⋊C4C2212yescomplemented
255D4×C22⋊C4C2212yes—
256#2334C2214yescomplemented
257#2334C2214yescomplemented
258#2328C2211yescharacteristic
259#2328C2211yescharacteristic
260#2326C2211yescharacteristic
261#2326C2211yescharacteristic
262#2326C2212yes—
263#2324C2212yes—
264#2324C2212yes—
265#2323C2212yes—
266#2323C2214yescomplemented
267#2321C2212yes—
268#2321C2212yes—
269#2320C2212yescomplemented
270#2320C2212yescomplemented
271#2317C2211yescharacteristic
272#2317C2214yescomplemented
273#2311C2211yescharacteristic
274#2309C2211yescharacteristic
275C4×C4⋊Q8C2211yescharacteristic, complemented
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×C4⋊Q8C2211yescharacteristic, complemented
279C4×C4⋊Q8C2212yescomplemented
280C4×#127C2211yescharacteristic
281C4×#127C2211yescharacteristic
282C4×#124C2211yescharacteristic
283C4×#124C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2212yescomplemented
287C4×#121C2212yes—
288C4×#121C2212yes—
289C4×#120C2212yes—
290C4×#120C2212yes—
291#2298C2212yes—
292#2296C2212yescomplemented
293#2295C2211yescharacteristic, complemented
294#2295C2212yescomplemented
295#2293C2212yes—
296#2280C2212yes—
297C42×Q8C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C23×Q8C2312yes—
301C23×D4C2311yescharacteristic
302C24×C4C2312yes—
303#557—44no—
304#556—216no—
305#556—48no—
306#556—44no—
307#556—44no—
308#552—48no—
309D4×Q8—44no—
310#535—28no—
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2311yescharacteristic
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#126C2314yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#126C2314yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#126C2314yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#125C2314yes—
330C2×#125C2314yes—
331C2×#124C2312yes—
332C2×#124C2311yescharacteristic
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#124C2311yescharacteristic
337C2×#123C2314yes—
338C2×C22⋊Q8—48no—
339C2×C22⋊Q8C2312yes—
340C2×C22⋊Q8C2314yes—
341C2×C22⋊Q8C2312yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2314yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2312yes—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×#121C2312yes—
358C2×#121C2312yes—
359C2×#120C2312yes—
360C2×#120C2312yes—
361C4×#41—44no—
362C2×C4×Q8C2312yes—
363C2×C4×Q8C2312yes—
364C2×C4×Q8C2311yescharacteristic
365C2×C4×Q8C2311yescharacteristic
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×Q8C2312yes—
370C2×C4×Q8C2312yes—
371C2×C4×Q8C2312yes—
372C2×C4×Q8C2312yes—
373C2×C4×Q8C2314yes—
374C2×C4×Q8C2311yescharacteristic
375C2×C4×Q8C2312yes—
376C2×C4×Q8C2311yescharacteristic
377C2×C4×D4—44no—
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2311yescharacteristic
380C2×C4×D4C2311yescharacteristic
381C2×C4×D4C2312yes—
382C2×C4×D4C2312yes—
383C2×C4×D4C2312yes—
384C2×C4×D4C2312yes—
385C2×C4×D4C2312yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2312yes—
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2312yes—
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×#117C2311yescharacteristic
395C2×#117C2311yescharacteristic
396C2×#117C2314yes—
397C2×#117C2312yes—
398C2×#117C2311yescharacteristic
399C2×#117C2314yes—
400C2×#117C2312yes—
401C2×#117C2312yes—
402C2×#117C2312yes—
403C2×#117C2312yes—
404C22×C4⋊C4C2312yes—
405C22×C4⋊C4C2311yescharacteristic
406C22×C4⋊C4C2314yes—
407C22×C22⋊C4C2312yes—
408C22×C22⋊C4C2314yes—
409C22×C42C2311yescharacteristic
410C22×C42C2312yes—
411#401C2314yes—
412#400C2314yes—
413#400C2314yes—
414#400C2314yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#400C2314yes—
419#400C2312yes—
420#400C2312yes—
421#400C2312yes—
422#400C2312yes—
423#400C2314yes—
424#400C2314yes—
425#400C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2312yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#398C2314yes—
436#398C2314yes—
437#398C2314yes—
438#398C2312yes—
439#398C2314yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2312yes—
444#398C2314yes—
445#398C2312yes—
446#398C2312yes—
447#398C2312yes—
448#398C2312yes—
449#398C2314yes—
450#398C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#396C2314yes—
471#396C2314yes—
472#396C2314yes—
473#396C2312yes—
474#396C2312yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#395C2314yes—
485#395C2314yes—
486#395C2314yes—
487#395C2314yes—
488#395C2314yes—
489#395C2312yes—
490#395C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#393C2314yes—
504#393C2314yes—
505#393C2314yes—
506#393C2312yes—
507#391C2314yes—
508#391C2311yescharacteristic
509#391C2312yes—
510#391C2312yes—
511#391C2311yescharacteristic
512#391C2312yes—
513#391C2311yescharacteristic
514#391C2312yes—
515#391C2312yes—
516#391C2312yes—
517#391C2311yescharacteristic
518#391C2312yes—
519#391C2312yes—
520#391C2312yes—
521#391C2312yes—
522#391C2312yes—
523#391C2312yes—
524#391C2314yes—
525#391C2311yescharacteristic
526#391C2312yes—
527#391C2311yescharacteristic
528#391C2312yes—
529#391C2312yes—
530#391C2311yescharacteristic
531#391C2311yescharacteristic
532#390C2314yes—
533#390C2311yescharacteristic
534#390C2311yescharacteristic
535#390C2311yescharacteristic
536#390C2311yescharacteristic
537#390C2312yes—
538#390C2312yes—
539#390C2312yes—
540#390C2312yes—
541#390C2312yes—
542#390C2312yes—
543#390C2311yescharacteristic
544#390C2311yescharacteristic
545#390C2312yes—
546#390C2312yes—
547#390C2312yes—
548#390C2312yes—
549#390C2314yes—
550#390C2312yes—
551#390C2312yes—
552#390C2314yes—
553#390C2312yes—
554#390C2314yes—
555#390C2314yes—
556#389C2314yes—
557#389C2312yes—
558#389C2312yes—
559#389C2312yes—
560#389C2311yescharacteristic
561#389C2312yes—
562#389C2314yes—
563#389C2312yes—
564#389C2311yescharacteristic
565#389C2312yes—
566#389C2312yes—
567#389C2314yes—
568#389C2314yes—
569#389C2312yes—
570#389C2312yes—
571#389C2312yes—
572#389C2314yes—
573#389C2314yes—
574#389C2312yes—
575#389C2312yes—
576#389C2312yes—
577#389C2314yes—
578#389C2312yes—
579#389C2314yes—
580#389C2314yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2314yes—
586#389C2314yes—
587#389C2314yes—
588#389C2314yes—
589#389C2314yes—
590#389C2312yes—
591#389C2314yes—
592#389C2314yes—
593#389C2314yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2312yes—
602#389C2312yes—
603#389C2314yes—
604#389C2311yescharacteristic
605#389C2311yescharacteristic
606#389C2311yescharacteristic
607#389C2311yescharacteristic
608#388C2312yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2312yes—
614#388C2312yes—
615#388C2312yes—
616#388C2312yes—
617#388C2312yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2312yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#387C2314yes—
667#387C2314yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#387C2312yes—
672#387C2312yes—
673#387C2312yes—
674#387C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2314yes—
679#387C2312yes—
680#387C2314yes—
681#387C2314yes—
682#386C2312yes—
683#386C2312yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
687#386C2312yes—
688#386C2312yes—
689#386C2312yes—
690#386C2312yes—
691#386C2312yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2312yes—
700#385C2312yes—
701#385C2312yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2312yes—
707#385C2312yes—
708#385C2312yes—
709#385C2314yes—
710#385C2312yes—
711#385C2312yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2314yes—
722#384C2311yescharacteristic
723#384C2311yescharacteristic
724#384C2312yes—
725#384C2311yescharacteristic
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2311yescharacteristic
729#384C2312yes—
730#384C2314yes—
731#384C2314yes—
732#384C2312yes—
733#383C2314yes—
734#383C2314yes—
735#382C2311yescharacteristic
736#382C2311yescharacteristic
737#382C2314yes—
738#382C2314yes—
739#382C2312yes—
740#382C2312yes—
741#382C2312yes—
742#381C2314yes—
743#381C2314yes—
744#381C2314yes—
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2314yes—
753#380C2311yescharacteristic
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2314yes—
759#380C2314yes—
760#380C2312yes—
761#380C2312yes—
762#380C2314yes—
763#380C2312yes—
764#380C2311yescharacteristic
765#379C2312yes—
766#379C2312yes—
767#379C2314yes—
768#379C2314yes—
769#379C2314yes—
770C4×C4⋊C4C2314yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2311yescharacteristic
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2314yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2314yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2314yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2311yescharacteristic
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815#376C2311yescharacteristic
816#376C2312yes—
817#376C2311yescharacteristic
818C43C2311yescharacteristic
819C43C2311yescharacteristic
820C43C2312yes—
821C25C2412yes—
822C2×#41—24no—
823C2×#41—24no—
824C2×#41—42no—
825C22×Q8—44no—
826C22×Q8—44no—
827C22×Q8—44no—
828C22×Q8C2411yescharacteristic
829C22×Q8C2412yes—
830C22×Q8C2412yes—
831C22×Q8C2411yescharacteristic
832C22×Q8C2412yes—
833C22×Q8C2411yescharacteristic
834C22×Q8C2414yes—
835C22×D4—24no—
836C22×D4—24no—
837C22×D4—42no—
838C22×D4C2411yescharacteristic
839C22×D4C2411yescharacteristic
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2412yes—
847C23×C4—44no—
848C23×C4—44no—
849C23×C4—44no—
850C23×C4C2412yes—
851C23×C4C2412yes—
852C23×C4C2412yes—
853C23×C4C2411yescharacteristic
854C23×C4C2414yes—
855C23×C4C2412yes—
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C23×C4C2414yes—
859C23×C4C2412yes—
860C23×C4C2412yes—
861C23×C4C2412yes—
862C23×C4C2412yes—
863C4⋊Q8—28no—
864C4⋊Q8—24no—
865C4⋊Q8—24no—
866C4⋊Q8—24no—
867C4⋊Q8—44no—
868C4⋊Q8—42no—
869C4⋊Q8—44no—
870#127—24no—
871#127—24no—
872#126—216no—
873#126—216no—
874#126—48no—
875#126—48no—
876#126—48no—
877#126—48no—
878#126—48no—
879#125—48no—
880#125—44no—
881#125—44no—
882#125—48no—
883#124—24no—
884#124—28no—
885#124—44no—
886#124—44no—
887#124—48no—
888#124#4118yes—
889#123—48no—
890C22⋊Q8—28no—
891C22⋊Q8—24no—
892C22⋊Q8—28no—
893C22⋊Q8—216no—
894C22⋊Q8—48no—
895C22⋊Q8—48no—
896C22⋊Q8—48no—
897C22⋊Q8—44no—
898C22⋊Q8—44no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901C22⋊Q8—42no—
902C22⋊Q8—44no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8—44no—
906C22⋊Q8—44no—
907C22⋊Q8—44no—
908#121—28no—
909#121—28no—
910#120—28no—
911#120—28no—
912C4×Q8—28no—
913C4×Q8—24no—
914C4×Q8—28no—
915C4×Q8—28no—
916C4×Q8—24no—
917C4×Q8—24no—
918C4×Q8—24no—
919C4×Q8—42no—
920C4×Q8—42no—
921C4×Q8—48no—
922C4×Q8—44no—
923C4×Q8—44no—
924C4×Q8—44no—
925C4×Q8—44no—
926C4×Q8—44no—
927C4×D4—28no—
928C4×D4—24no—
929C4×D4—24no—
930C4×D4—24no—
931C4×D4—44no—
932C4×D4—42no—
933C4×D4—42no—
934C4×D4—42no—
935C4×D4—44no—
936C4×D4—44no—
937C4×D4—44no—
938C4×D4—44no—
939C4×D4—44no—
940C4×D4—44no—
941C4×D4—44no—
942C4×D4—44no—
943#117—24no—
944#117—28no—
945#117—216no—
946#117—24no—
947#117—48no—
948#117—44no—
949#117—42no—
950#117—44no—
951#117—44no—
952#117—44no—
953C2×C4⋊C4—28no—
954C2×C4⋊C4—42no—
955C2×C4⋊C4—48no—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2414yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2414yes—
962C2×C4⋊C4C2411yescharacteristic
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2411yescharacteristic
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2414yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2411yescharacteristic
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2414yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
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⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C22⋊C4—44no—
1032C2×C22⋊C4—48no—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2414yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C42—24no—
1089C2×C42—44no—
1090C2×C42C2411yescharacteristic
1091C2×C42C2414yes—
1092C2×C42C2412yes—
1093C2×C42C2414yes—
1094C2×C42C2414yes—
1095C2×C42C2411yescharacteristic
1096C2×C42C2411yescharacteristic
1097C2×C42C2411yescharacteristic
1098C2×C42C2411yescharacteristic
1099C2×C42C2411yescharacteristic
1100C2×C42C2411yescharacteristic
1101C2×C42C2411yescharacteristic
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2412yes—
1105C2×C42C2412yes—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2414yes—
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2412yes—
1114C2×C42C2414yes—
1115C2×C42C2414yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2412yes—
1123C2×C42C2411yescharacteristic
1124C2×C42C2411yescharacteristic
1125#95C2411yescharacteristic
1126#95C2411yescharacteristic
1127#95C2411yescharacteristic
1128#95C2411yescharacteristic
1129#95C2411yescharacteristic
1130#95C2411yescharacteristic
1131#95C2411yescharacteristic
1132#95C2411yescharacteristic
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2412yes—
1142#95C2414yes—
1143#95C2412yes—
1144#95C2414yes—
1145#95C2412yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2412yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193C24—24no—
1194C24—24no—
1195C24—42no—
1196C24—42no—
1197C24—42no—
1198C24—42no—
1199C24—42no—
1200C24C2512yes—
1201C24C2512yes—
1202C24C2512yes—
1203C24C2511yescharacteristic
1204#41—416no—
1205C2×Q8—24no—
1206C2×Q8—24no—
1207C2×Q8—22no—
1208C2×Q8—22no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—24no—
1212C2×Q8—24no—
1213C2×Q8—24no—
1214C2×Q8—24no—
1215C2×Q8—22no—
1216C2×Q8—22no—
1217C2×Q8—24no—
1218C2×Q8—22no—
1219C2×Q8—24no—
1220C2×Q8—22no—
1221C2×Q8—42no—
1222C2×Q8—44no—
1223C2×Q8—44no—
1224C2×Q8—44no—
1225C2×Q8—816no—
1226C2×Q8C2×#4114yes—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—24no—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—22no—
1233C2×D4—22no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—22no—
1237C2×D4—22no—
1238C2×D4—22no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—22no—
1242C2×D4—22no—
1243C2×D4—416no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—42no—
1253C2×D4—42no—
1254C2×D4C2×#4114yes—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—28no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—24no—
1261C22×C4—28no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—24no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—42no—
1275C22×C4—44no—
1276C22×C4—42no—
1277C22×C4—42no—
1278C22×C4—44no—
1279C22×C4—42no—
1280C22×C4—42no—
1281C22×C4—42no—
1282C22×C4—44no—
1283C22×C4—42no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—42no—
1287C22×C4—42no—
1288C22×C4—41no—
1289C22×C4—41no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—44no—
1293C22×C4—816no—
1294C22×C42−1+414yes—
1295C22×C4C2511yescharacteristic
1296C22×C4C2511yescharacteristic
1297C22×C4C2511yescharacteristic
1298C22×C4C2511yescharacteristic
1299C22×C4C2511yescharacteristic
1300C22×C4C2512yes—
1301C22×C4C2512yes—
1302C22×C4C2514yes—
1303C22×C4C2511yescharacteristic
1304C22×C4C2514yes—
1305C22×C4C2511yescharacteristic
1306C22×C4C2512yes—
1307C22×C4C2511yescharacteristic
1308C22×C4C2512yes—
1309C22×C4C2512yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2514yes—
1314C22×C4C2512yes—
1315C22×C4C2514yes—
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2511yescharacteristic
1325C22×C4C2511yescharacteristic
1326C4⋊C4—24no—
1327C4⋊C4—22no—
1328C4⋊C4—22no—
1329C4⋊C4—28no—
1330C4⋊C4—24no—
1331C4⋊C4—28no—
1332C4⋊C4—28no—
1333C4⋊C4—24no—
1334C4⋊C4—24no—
1335C4⋊C4—28no—
1336C4⋊C4—24no—
1337C4⋊C4—28no—
1338C4⋊C4—24no—
1339C4⋊C4—22no—
1340C4⋊C4—22no—
1341C4⋊C4—28no—
1342C4⋊C4—24no—
1343C4⋊C4—22no—
1344C4⋊C4—22no—
1345C4⋊C4—24no—
1346C4⋊C4—22no—
1347C4⋊C4—22no—
1348C4⋊C4—24no—
1349C4⋊C4—22no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—24no—
1356C4⋊C4—24no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—28no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—42no—
1364C4⋊C4—44no—
1365C4⋊C4—44no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—42no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—42no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—42no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—42no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—44no—
1386C4⋊C4—44no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4H(5,𝔽2)14yes—
1401C22⋊C4—28no—
1402C22⋊C4—28no—
1403C22⋊C4—28no—
1404C22⋊C4—22no—
1405C22⋊C4—22no—
1406C22⋊C4—28no—
1407C22⋊C4—22no—
1408C22⋊C4—22no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—28no—
1415C22⋊C4—28no—
1416C22⋊C4—24no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—44no—
1420C22⋊C4—44no—
1421C22⋊C4—42no—
1422C22⋊C4—42no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—42no—
1426C22⋊C4—42no—
1427C22⋊C4—44no—
1428C22⋊C4—42no—
1429C22⋊C4—42no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—42no—
1433C22⋊C4—42no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—42no—
1440C22⋊C4—42no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—44no—
1444C22⋊C4—42no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—44no—
1448C22⋊C4—42no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4C2×#4118yes—
1455C22⋊C4C2×#4118yes—
1456C42—28no—
1457C42—28no—
1458C42—22no—
1459C42—24no—
1460C42—24no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—24no—
1465C42—28no—
1466C42—24no—
1467C42—22no—
1468C42—22no—
1469C42—24no—
1470C42—24no—
1471C42—22no—
1472C42—22no—
1473C42—22no—
1474C42—22no—
1475C42—42no—
1476C42—42no—
1477C42—41no—
1478C42—41no—
1479C42—41no—
1480C42—41no—
1481C42—42no—
1482C42—42no—
1483C42—44no—
1484C42—44no—
1485C42—44no—
1486C42—42no—
1487C42—44no—
1488C42—44no—
1489C42C2×#4114yes—
1490C42H(5,𝔽2)14yes—
1491C23—21no—
1492C23—21no—
1493C23—22no—
1494C23—22no—
1495C23—21no—
1496C23—22no—
1497C23—21no—
1498C23—22no—
1499C23—22no—
1500C23—21no—
1501C23—21no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—22no—
1516C23—22no—
1517C23—48no—
1518C23—48no—
1519C23—84no—
1520C23—84no—
1521C23—84no—
1522C23—84no—
1523C23—84no—
1524C23C22×#4114yes—
1525C23C2×2−1+412yes—
1526C23C2611yescharacteristic
1527Q8—28no—
1528Q8—48no—
1529Q8—48no—
1530Q8—44no—
1531Q8—48no—
1532Q8—44no—
1533Q8—88no—
1534D4—28no—
1535D4—48no—
1536D4—48no—
1537D4—44no—
1538D4—44no—
1539D4—84no—
1540D4—84no—
1541D4—84no—
1542D4—84no—
1543C2×C4—22no—
1544C2×C4—21no—
1545C2×C4—21no—
1546C2×C4—21no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—21no—
1550C2×C4—21no—
1551C2×C4—21no—
1552C2×C4—21no—
1553C2×C4—22no—
1554C2×C4—21no—
1555C2×C4—28no—
1556C2×C4—22no—
1557C2×C4—24no—
1558C2×C4—21no—
1559C2×C4—21no—
1560C2×C4—22no—
1561C2×C4—22no—
1562C2×C4—24no—
1563C2×C4—21no—
1564C2×C4—21no—
1565C2×C4—22no—
1566C2×C4—21no—
1567C2×C4—22no—
1568C2×C4—24no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—21no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—24no—
1582C2×C4—24no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—21no—
1605C2×C4—22no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—48no—
1626C2×C4—416no—
1627C2×C4—48no—
1628C2×C4—48no—
1629C2×C4—44no—
1630C2×C4—48no—
1631C2×C4—82no—
1632C2×C4—84no—
1633C2×C4—84no—
1634C2×C4—84no—
1635C2×C4—84no—
1636C2×C4—88no—
1637C2×C4C22×#4112yes—
1638C2×C4C22×#4114yes—
1639C2×C4C22×#4112yes—
1640C2×C4C22×#4112yes—
1641C2×C4C2×H(5,𝔽2)14yes—
1642C2×C4C2×H(5,𝔽2)12yes—
1643C2×C4C2×H(5,𝔽2)12yes—
1644C2×C4C2×H(5,𝔽2)12yes—
1645C2×C4C2×H(5,𝔽2)12yes—
1646C2×C4C2×2−1+412yes—
1647C2×C4C2×2−1+412yes—
1648C2×C4#58512yes—
1649C22—24no—
1650C22—24no—
1651C22—22no—
1652C22—24no—
1653C22—22no—
1654C22—22no—
1655C22—41no—
1656C22—41no—
1657C22—42no—
1658C22—41no—
1659C22—41no—
1660C22—42no—
1661C22—42no—
1662C22—42no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—42no—
1670C22—42no—
1671C22—42no—
1672C22—42no—
1673C22—42no—
1674C22—42no—
1675C22—42no—
1676C22—42no—
1677C22—816no—
1678C22C23×#4111yescharacteristic
1679C22C22×H(5,𝔽2)11yescharacteristic
1680C22C22×H(5,𝔽2)11yescharacteristic
1681C22C22×2−1+411yescharacteristic
1682C22C2×#58511yescharacteristic
1683C222−1+611yescharacteristic
1684C222−1+611yescharacteristic
1685C4—24no—
1686C4—22no—
1687C4—22no—
1688C4—22no—
1689C4—24no—
1690C4—22no—
1691C4—44no—
1692C4—41no—
1693C4—42no—
1694C4—42no—
1695C4—42no—
1696C4—41no—
1697C4—42no—
1698C4—42no—
1699C4—41no—
1700C4—42no—
1701C4—42no—
1702C4—44no—
1703C4—42no—
1704C4—44no—
1705C4—42no—
1706C4—42no—
1707C4—42no—
1708C4—41no—
1709C4—41no—
1710C4—44no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4#352014yes—
1715C4#354614yes—
1716C2—44no—
1717C2—42no—
1718C2—82no—
1719C2—82no—
1720C2C2×#354611yescharacteristic
1721C2C2×#352011yescharacteristic
1722C2#6288811yescharacteristic
1723C2#6291311yescharacteristic
1724C2#6293211yescharacteristic
1725C2#6298511yescharacteristic
1726C2#6299511yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#535C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #59821C2semidirect
2. #59821C2semidirect
3. #59566C2semidirect
4. #59428C2semidirect
5. #59413C2semidirect
6. #59025C2semidirect
7. #51022C2semidirect
8. #49828C2semidirect
9. #46760C2semidirect
10. #46595C2semidirect
11. #45677C2semidirect
12. #45624C2semidirect
14. #44923C2semidirect
15. #42837C2semidirect
16. #42567C2semidirect
17. #39959C2semidirect
18. #39932C2semidirect
19. #39244C2semidirect
20. #39167C2semidirect
21. #39065C2semidirect
22. #38978C2semidirect
23. #38917C2semidirect
24. #38254C2semidirect
25. #37357C2semidirect
26. #36508C2semidirect
27. #36445C2semidirect
28. #36405C2semidirect
29. #36270C2semidirect
30. #36161C2semidirect
31. D4×C22⋊Q8C2semidirect
32. #35291C2semidirect
33. #34916C2semidirect
34. #34481C2semidirect
36. C2×#557C22semidirect
39. C2×#556C22semidirect
40. C2×#556C22semidirect
41. C2×#552C22semidirect
47. #2862C22semidirect
49. #2860C22semidirect
50. #2859C22semidirect
53. #2857C22semidirect
54. #2855C22semidirect
57. #2838C22semidirect
58. #2827C22semidirect
60. #2805C22semidirect
62. #2796C22semidirect
63. #2792C22semidirect
64. #2790C22semidirect
66. #2777C22semidirect
67. #2772C22semidirect
68. #2771C22semidirect
69. #2761C22semidirect
71. #2757C22semidirect
72. #2751C22semidirect
73. #2750C22semidirect
74. #2746C22semidirect
75. #2746C22semidirect
76. #2742C22semidirect
77. #2737C22semidirect
80. #2727C22semidirect
81. #2727C22semidirect
83. #2723C22semidirect
84. #2723C22semidirect
85. #2723C22semidirect
86. #2722C22semidirect
88. #2720C22semidirect
89. #2715C22semidirect
90. #2704C22semidirect
91. #2700C22semidirect
92. #2695C22semidirect
94. #2689C22semidirect
95. #2689C22semidirect
99. #2664C22semidirect
100. #2650C22semidirect
101. #2649C22semidirect
102. #2645C22semidirect
104. #2640C22semidirect
106. #2623C22semidirect
108. #2601C22semidirect
110. #2594C22semidirect
111. #2590C22semidirect
113. #2588C22semidirect
116. #2585C22semidirect
117. #2584C22semidirect
118. #2582C22semidirect
119. #2581C22semidirect
120. #2577C22semidirect
121. #2574C22semidirect
122. #2567C22semidirect
123. #2565C22semidirect
124. #2562C22semidirect
127. #2558C22semidirect
128. #2556C22semidirect
129. #2550C22semidirect
133. #2546C22semidirect
138. #2542C22semidirect
139. #2542C22semidirect
143. #2538C22semidirect
144. #2538C22semidirect
145. #2536C22semidirect
146. #2519C22semidirect
147. #2519C22semidirect
149. #2514C22semidirect
151. #2512C22semidirect
152. #2512C22semidirect
153. #2511C22semidirect
154. #2509C22semidirect
155. #2509C22semidirect
156. #2508C22semidirect
157. #2507C22semidirect
158. #2506C22semidirect
159. #2499C22semidirect
161. #2496C22semidirect
162. #2496C22semidirect
164. #2495C22semidirect
168. #2489C22semidirect
172. #2481C22semidirect
175. #2478C22semidirect
176. #2478C22semidirect
184. #2454C22semidirect
185. #2453C22semidirect
187. #2451C22semidirect
188. #2451C22semidirect
192. #2448C22semidirect
193. #2448C22semidirect
196. #2447C22semidirect
197. #2446C22semidirect
198. #2446C22semidirect
201. #2441C22semidirect
202. #2441C22semidirect
204. #2440C22semidirect
207. #2434C22semidirect
210. #2429C22semidirect
211. #2429C22semidirect
212. #2429C22semidirect
214. #2423C22semidirect
219. #2415C22semidirect
220. #2415C22semidirect
221. #2415C22semidirect
222. #2415C22semidirect
223. #2415C22semidirect
224. #2415C22semidirect
227. #2409C22semidirect
228. #2409C22semidirect
229. #2402C22semidirect
231. #2383C22semidirect
232. #2383C22semidirect
235. #2365C22semidirect
237. #2362C22semidirect
238. #2362C22semidirect
240. #2360C22semidirect
242. #2354C22semidirect
243. #2354C22semidirect
244. #2352C22semidirect
245. Q8×C4⋊C4C22semidirect
246. Q8×C4⋊C4C22semidirect
247. Q8×C4⋊C4C22semidirect
248. Q8×C4⋊C4C22semidirect
251. #2347C22semidirect
252. #2344C22semidirect
254. Q8×C22⋊C4C22semidirect
256. #2334C22semidirect
257. #2334C22semidirect
266. #2323C22semidirect
269. #2320C22semidirect
270. #2320C22semidirect
272. #2317C22semidirect
275. C4×C4⋊Q8C22semidirect
276. C4×C4⋊Q8C22semidirect
277. C4×C4⋊Q8C22semidirect
278. C4×C4⋊Q8C22semidirect
279. C4×C4⋊Q8C22semidirect
286. C4×C22⋊Q8C22semidirect
292. #2296C22semidirect
293. #2295C22semidirect
294. #2295C22semidirect
297. C42×Q8C22semidirect

Maximal subgroups

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

subgroupindex
#598212
#595662
#594282
#594132
#590252
#510222
#498282
#467602
#465952
#456772
#456242
#449552
#449232
#428372
#425672
#399592
#399322
#392442
#391672
#390652
#389782
#389172
#382542
#373572
#365082
#364452
#364052
#362702
#361612
D4×C22⋊Q82
#352912
#349162
#344812
C4×#5352