Finite Group Databasebeta

← #8459258

Subgroups — #8459258

Order 512.

5484 conjugacy classes of subgroups.

The subgroup lattice has 1853 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59647C211yesmaximal, characteristic, complemented
2#59124C211yesmaximal, characteristic, complemented
3#59051C211yesmaximal, characteristic, complemented
4#56509C214yesmaximal, complemented
5#55443C214yesmaximal, complemented
6#55036C214yesmaximal, complemented
7#53087C212yesmaximal, complemented
8#52971C212yesmaximal, complemented
9#48505C214yesmaximal, complemented
10#45708C212yesmaximal, complemented
11#45610C212yesmaximal, complemented
12#45380C212yesmaximal, complemented
13#44892C212yesmaximal, complemented
14#42673C212yesmaximal, complemented
15#42595C212yesmaximal, complemented
16#42566C212yesmaximal, complemented
17#42539C212yesmaximal, complemented
18#39865C212yesmaximal, complemented
19#39767C212yesmaximal, complemented
20#39734C211yesmaximal, characteristic, complemented
21#39725C211yesmaximal, characteristic, complemented
22#39148C211yesmaximal, characteristic, complemented
23#38987C211yesmaximal, characteristic, complemented
24#38123C212yesmaximal, complemented
25#37682C212yesmaximal, complemented
26#37619C211yesmaximal, characteristic, complemented
27#37371C212yesmaximal, complemented
28#37332C212yesmaximal, complemented
29#36259C211yesmaximal, characteristic, complemented
30#36125C211yesmaximal, characteristic, complemented
31#36121C211yesmaximal, characteristic, complemented
32#35272C211yesmaximal, characteristic, complemented
33#35197C211yesmaximal, characteristic, complemented
34#34917C211yesmaximal, characteristic, complemented
35#34720C211yesmaximal, characteristic, complemented
36C2×#550C2211yescharacteristic
37C2×#550C2212yescomplemented
38C2×#547C2212yes—
39C2×#547C2211yescharacteristic, complemented
40C2×#546C2212yes—
41C2×#546C2212yes—
42C2×#535C2212yes—
43C2×#533C2211yescharacteristic, complemented
44C2×#532C2211yescharacteristic
45C2×#532C2212yescomplemented
46C22×#127C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic
48#2858C2211yescharacteristic
49#2857C2211yescharacteristic
50#2856C2211yescharacteristic
51#2856C2212yes—
52#2856C2212yes—
53#2854C2212yescomplemented
54#2854C2212yescomplemented
55#2850C2212yescomplemented
56#2850C2212yescomplemented
57#2829C2214yescomplemented
58#2829C2214yescomplemented
59#2827C2214yescomplemented
60#2826C2214yescomplemented
61#2825C2214yescomplemented
62#2825C2214yescomplemented
63#2816C2214yescomplemented
64#2812C2214yes—
65#2808C2214yescomplemented
66#2803C2214yescomplemented
67#2800C2214yescomplemented
68#2797C2214yescomplemented
69#2797C2214yescomplemented
70#2796C2214yescomplemented
71#2796C2214yescomplemented
72#2786C2214yescomplemented
73#2780C2214yescomplemented
74#2766C2214yescomplemented
75#2760C2214yescomplemented
76#2756C2214yescomplemented
77#2752C2214yescomplemented
78#2749C2214yescomplemented
79#2749C2214yescomplemented
80#2749C2214yescomplemented
81#2747C2214yes—
82#2746C2214yescomplemented
83#2746C2214yescomplemented
84#2740C2214yescomplemented
85#2736C2214yes—
86#2735C2214yes—
87#2724C2214yescomplemented
88#2711C2214yescomplemented
89#2710C2214yescomplemented
90#2703C2214yescomplemented
91#2701C2214yescomplemented
92#2701C2214yescomplemented
93#2699C2214yescomplemented
94#2697C2214yes—
95#2688C2214yescomplemented
96#2688C2214yescomplemented
97#2688C2214yescomplemented
98#2684C2214yes—
99#2682C2214yescomplemented
100#2678C2214yes—
101#2676C2214yescomplemented
102#2676C2214yescomplemented
103#2673C2214yes—
104#2673C2214yescomplemented
105#2673C2214yescomplemented
106#2673C2214yescomplemented
107#2673C2214yescomplemented
108#2671C2214yescomplemented
109#2671C2214yescomplemented
110#2671C2214yescomplemented
111#2669C2214yes—
112#2668C2214yes—
113#2668C2214yes—
114#2658C2212yescomplemented
115#2648C2214yescomplemented
116#2644C2212yescomplemented
117#2644C2212yescomplemented
118#2640C2212yescomplemented
119#2639C2214yescomplemented
120#2635C2214yescomplemented
121#2633C2214yescomplemented
122#2631C2214yescomplemented
123#2624C2212yescomplemented
124#2624C2212yescomplemented
125#2622C2214yes—
126#2622C2214yes—
127#2621C2212yes—
128#2619C2214yes—
129#2619C2212yescomplemented
130#2600C2214yescomplemented
131#2600C2214yescomplemented
132#2580C2212yescomplemented
133#2580C2212yescomplemented
134#2580C2212yescomplemented
135#2578C2212yes—
136#2576C2212yescomplemented
137#2571C2211yescharacteristic, complemented
138#2570C2212yescomplemented
139#2570C2211yescharacteristic, complemented
140#2566C2211yescharacteristic, complemented
141#2562C2211yescharacteristic
142#2548C2211yescharacteristic
143#2548C2212yes—
144#2548C2211yescharacteristic
145#2548C2211yescharacteristic
146#2548C2212yescomplemented
147#2547C2212yescomplemented
148#2546C2211yescharacteristic, complemented
149#2546C2211yescharacteristic, complemented
150#2545C2212yescomplemented
151#2544C2212yes—
152#2544C2212yescomplemented
153#2543C2214yescomplemented
154#2541C2211yescharacteristic
155#2541C2212yes—
156#2541C2212yes—
157#2541C2211yescharacteristic
158#2541C2211yescharacteristic
159#2541C2212yescomplemented
160#2540C2212yescomplemented
161#2538C2211yescharacteristic, complemented
162#2535C2211yescharacteristic
163#2535C2212yescomplemented
164#2515C2212yescomplemented
165#2514C2212yescomplemented
166#2513C2212yescomplemented
167#2513C2212yescomplemented
168#2513C2212yescomplemented
169#2507C2212yescomplemented
170#2504C2212yescomplemented
171#2504C2212yescomplemented
172#2497C2211yescharacteristic, complemented
173#2495C2212yes—
174#2494C2212yes—
175#2494C2211yescharacteristic
176#2491C2212yescomplemented
177#2490C2212yescomplemented
178#2486C2212yes—
179#2483C2214yes—
180#2477C2212yescomplemented
181#2475C2212yescomplemented
182#2464C2214yescomplemented
183#2464C2214yescomplemented
184#2463C2212yes—
185#2460C2212yes—
186#2457C2212yes—
187#2457C2214yescomplemented
188#2456C2214yescomplemented
189#2454C2212yescomplemented
190#2452C2211yescharacteristic, complemented
191#2448C2212yescomplemented
192#2447C2212yescomplemented
193#2447C2212yescomplemented
194#2446C2212yescomplemented
195#2446C2211yescharacteristic, complemented
196#2445C2212yes—
197#2445C2212yes—
198#2445C2212yes—
199#2445C2212yescomplemented
200#2444C2214yescomplemented
201#2443C2214yescomplemented
202#2443C2214yescomplemented
203#2443C2214yescomplemented
204#2439C2211yescharacteristic
205#2435C2212yes—
206#2433C2212yes—
207#2432C2211yescharacteristic
208#2432C2212yescomplemented
209#2432C2212yescomplemented
210#2432C2212yescomplemented
211#2432C2212yescomplemented
212#2431C2212yes—
213#2431C2212yes—
214#2431C2212yescomplemented
215#2431C2212yescomplemented
216#2429C2212yescomplemented
217#2428C2212yes—
218#2428C2212yes—
219#2428C2212yes—
220#2428C2212yescomplemented
221#2428C2212yescomplemented
222#2428C2212yescomplemented
223#2428C2212yescomplemented
224#2427C2212yescomplemented
225#2427C2211yescharacteristic, complemented
226#2426C2212yescomplemented
227#2425C2214yes—
228#2424C2214yes—
229#2422C2211yescharacteristic, complemented
230#2421C2211yescharacteristic, complemented
231#2420C2211yescharacteristic
232#2420C2212yescomplemented
233#2420C2212yescomplemented
234#2420C2212yescomplemented
235#2420C2212yescomplemented
236#2418C2214yes—
237#2418C2214yes—
238#2418C2214yes—
239#2416C2212yes—
240#2416C2212yescomplemented
241#2416C2214yescomplemented
242#2416C2212yescomplemented
243#2415C2211yescharacteristic
244#2415C2212yes—
245#2413C2214yescomplemented
246#2410C2214yes—
247#2408C2212yes—
248#2408C2212yes—
249#2408C2212yes—
250#2408C2212yes—
251#2408C2212yes—
252#2408C2214yes—
253#2407C2211yescharacteristic
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2401C2212yescomplemented
257#2398C2212yes—
258#2392C2212yes—
259#2392C2212yes—
260#2377C2214yescomplemented
261#2366C2211yescharacteristic
262#2366C2212yescomplemented
263#2365C2211yescharacteristic, complemented
264#2361C2212yescomplemented
265#2361C2212yescomplemented
266#2361C2212yescomplemented
267#2361C2212yescomplemented
268#2355C2211yescharacteristic, complemented
269D4×C4⋊C4C2211yescharacteristic, complemented
270#2339C2212yescomplemented
271D4×C22⋊C4C2212yes—
272D4×C22⋊C4C2212yes—
273D4×C22⋊C4C2212yes—
274#2328C2212yescomplemented
275#2328C2212yescomplemented
276#2325C2214yescomplemented
277#2324C2212yescomplemented
278#2323C2212yes—
279#2319C2212yescomplemented
280#2319C2212yescomplemented
281#2309C2212yes—
282C4×#127C2211yescharacteristic
283C4×#125C2211yescharacteristic, complemented
284C4×#124C2211yescharacteristic, complemented
285C4×C22⋊Q8C2211yescharacteristic
286C4×C22⋊Q8C2212yescomplemented
287C4×#123C2212yescomplemented
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic, complemented
290C4×#121C2211yescharacteristic, complemented
291#2295C2211yescharacteristic, complemented
292C2×#389C2212yescomplemented
293#2290C2212yes—
294#2290C2212yescomplemented
295#2285C2211yescharacteristic
296#2283C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306#550—44no—
307#550—48no—
308#547—44no—
309#547—48no—
310#546—48no—
311#546—48no—
312#535—48no—
313#533—44no—
314#532—44no—
315#532—48no—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2311yescharacteristic
319C2×C4⋊Q8C2311yescharacteristic
320C2×C4⋊Q8C2312yes—
321C2×#127—44no—
322C2×#127C2311yescharacteristic
323C2×#127C2312yes—
324C2×#127C2311yescharacteristic
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2314yes—
331C2×#127C2312yes—
332C2×#125C2311yescharacteristic
333C2×#125C2312yes—
334C2×#124C2311yescharacteristic
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2312yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2311yescharacteristic
357C2×#121C2311yescharacteristic
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2314yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2311yescharacteristic
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2311yescharacteristic
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#120C2314yes—
388C2×#120C2314yes—
389C2×#120C2314yes—
390C2×#120C2314yes—
391C2×#120C2314yes—
392C4×#41—44no—
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2312yes—
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2314yes—
410C2×C4×D4C2314yes—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2314yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2312yes—
423C2×C4×D4C2314yes—
424C2×#117C2311yescharacteristic
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C22×C4⋊C4C2312yes—
429C22×C4⋊C4C2312yes—
430C22×C4⋊C4C2314yes—
431C22×C22⋊C4C2314yes—
432C22×C22⋊C4C2314yes—
433C22×C42C2311yescharacteristic
434C22×C42C2311yescharacteristic
435C22×C42C2312yes—
436C22×C42C2312yes—
437#401C2314yes—
438#401C2312yes—
439#400C2312yes—
440#400C2312yes—
441#400C2314yes—
442#400C2312yes—
443#400C2314yes—
444#400C2314yes—
445#400C2312yes—
446#400C2312yes—
447#399C2314yes—
448#399C2314yes—
449#399C2314yes—
450#399C2314yes—
451#399C2314yes—
452#399C2314yes—
453#398C2314yes—
454#398C2314yes—
455#398C2314yes—
456#398C2312yes—
457#398C2312yes—
458#398C2314yes—
459#398C2314yes—
460#398C2314yes—
461#397C2312yes—
462#397C2312yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2312yes—
475#397C2312yes—
476#397C2312yes—
477#397C2314yes—
478#397C2314yes—
479#397C2312yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#396C2312yes—
489#396C2312yes—
490#396C2312yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2312yes—
497#396C2312yes—
498#396C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2312yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2312yes—
520#394C2312yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2312yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2312yes—
530#394C2314yes—
531#394C2312yes—
532#394C2312yes—
533#394C2312yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#393C2314yes—
538#393C2314yes—
539#393C2314yes—
540#393C2312yes—
541#393C2312yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2312yes—
559#392C2312yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#391C2312yes—
564#391C2311yescharacteristic
565#391C2312yes—
566#391C2312yes—
567#391C2312yes—
568#391C2312yes—
569#391C2311yescharacteristic
570#391C2311yescharacteristic
571#391C2311yescharacteristic
572#391C2312yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2314yes—
579#390C2314yes—
580#390C2312yes—
581#390C2312yes—
582#390C2311yescharacteristic
583#390C2311yescharacteristic
584#390C2314yes—
585#390C2314yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2314yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2311yescharacteristic
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2314yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2311yescharacteristic
607#390C2312yes—
608#390C2314yes—
609#390C2314yes—
610#389C2311yescharacteristic
611#389C2311yescharacteristic
612#389C2311yescharacteristic
613#389C2312yes—
614#389C2312yes—
615#389C2311yescharacteristic
616#389C2312yes—
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2314yes—
621#389C2312yes—
622#389C2312yes—
623#389C2311yescharacteristic
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2311yescharacteristic
628#389C2314yes—
629#389C2311yescharacteristic
630#389C2312yes—
631#389C2311yescharacteristic
632#389C2314yes—
633#388C2312yes—
634#388C2312yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2312yes—
642#388C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2312yes—
657#388C2312yes—
658#388C2312yes—
659#388C2312yes—
660#388C2312yes—
661#388C2312yes—
662#387C2312yes—
663#387C2312yes—
664#387C2312yes—
665#387C2312yes—
666#387C2314yes—
667#387C2314yes—
668#387C2312yes—
669#387C2314yes—
670#387C2312yes—
671#387C2314yes—
672#387C2314yes—
673#387C2312yes—
674#387C2314yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#386C2312yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2312yes—
691#386C2312yes—
692#386C2312yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
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#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2312yes—
718#386C2312yes—
719#386C2314yes—
720#386C2312yes—
721#386C2312yes—
722#385C2312yes—
723#385C2312yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2312yes—
738#385C2312yes—
739#385C2312yes—
740#385C2312yes—
741#385C2312yes—
742#385C2312yes—
743#384C2311yescharacteristic
744#384C2311yescharacteristic
745#384C2311yescharacteristic
746#383C2312yes—
747#383C2314yes—
748#382C2311yescharacteristic
749#382C2311yescharacteristic
750#382C2312yes—
751#382C2311yescharacteristic
752#382C2312yes—
753#382C2312yes—
754#382C2312yes—
755#382C2311yescharacteristic
756#381C2312yes—
757#381C2314yes—
758#381C2314yes—
759#381C2314yes—
760#381C2314yes—
761#381C2314yes—
762#381C2312yes—
763#380C2311yescharacteristic
764#380C2311yescharacteristic
765#380C2311yescharacteristic
766#380C2311yescharacteristic
767#380C2314yes—
768#380C2314yes—
769#380C2312yes—
770#380C2311yescharacteristic
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2311yescharacteristic
777#380C2314yes—
778#380C2311yescharacteristic
779#380C2311yescharacteristic
780#379C2314yes—
781#379C2314yes—
782#379C2314yes—
783#379C2314yes—
784#379C2314yes—
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C22⋊C4C2311yescharacteristic
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818#376C2312yes—
819#376C2312yes—
820C2×#95C2314yes—
821C43C2311yescharacteristic
822C25C2414yes—
823C2×#41—24no—
824C2×#41—28no—
825C2×#41—24no—
826C2×#41—42no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C22×Q8C2411yescharacteristic
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×Q8C2412yes—
839C22×D4—28no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—82no—
848C22×D4C2411yescharacteristic
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2411yescharacteristic
855C22×D4C2411yescharacteristic
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2412yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C23×C4C2412yes—
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2414yes—
884C23×C4C2412yes—
885C23×C4C2411yescharacteristic
886C23×C4C2414yes—
887C23×C4C2414yes—
888C23×C4C2414yes—
889C23×C4C2414yes—
890C23×C4C2414yes—
891C23×C4C2412yes—
892C23×C4C2412yes—
893C4⋊Q8—24no—
894C4⋊Q8—42no—
895C4⋊Q8—44no—
896C4⋊Q8—42no—
897C4⋊Q8—44no—
898#127—28no—
899#127—28no—
900#127—24no—
901#127—24no—
902#127—44no—
903#127—44no—
904#127—44no—
905#127—44no—
906#127—44no—
907#127—48no—
908#125—42no—
909#125—44no—
910#124—24no—
911#124—44no—
912#124—44no—
913#124—44no—
914#124—44no—
915#124—44no—
916#124—44no—
917#124—84no—
918#123—44no—
919#123—48no—
920#123—48no—
921#123—48no—
922#123—48no—
923#123—48no—
924#123—84no—
925C22⋊Q8—24no—
926C22⋊Q8—28no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—42no—
930C22⋊Q8—42no—
931C22⋊Q8—44no—
932C22⋊Q8—44no—
933#121—24no—
934#121—48no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—48no—
940#121—48no—
941#121—48no—
942#121—42no—
943#121—44no—
944#121—44no—
945#121—44no—
946#121—44no—
947#121—42no—
948#121—48no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—48no—
958#121—48no—
959#121—48no—
960#121—84no—
961#121—84no—
962#121—82no—
963#120—48no—
964#120—48no—
965#120—48no—
966#120—48no—
967#120—84no—
968C4×Q8—24no—
969C4×Q8—24no—
970C4×Q8—44no—
971C4×Q8—42no—
972C4×Q8—44no—
973C4×D4—24no—
974C4×D4—28no—
975C4×D4—24no—
976C4×D4—24no—
977C4×D4—44no—
978C4×D4—42no—
979C4×D4—42no—
980C4×D4—44no—
981C4×D4—42no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—42no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—42no—
993C4×D4—44no—
994C4×D4—48no—
995C4×D4—48no—
996C4×D4—48no—
997C4×D4—82no—
998C4×D4—84no—
999#117—44no—
1000#117—44no—
1001#117—44no—
1002#117—42no—
1003C2×C4⋊C4—44no—
1004C2×C4⋊C4—44no—
1005C2×C4⋊C4—48no—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C22⋊C4—48no—
1060C2×C22⋊C4—48no—
1061C2×C22⋊C4C2411yescharacteristic
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2411yescharacteristic
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2411yescharacteristic
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C42—24no—
1137C2×C42—24no—
1138C2×C42—44no—
1139C2×C42—44no—
1140C2×C42C2411yescharacteristic
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2412yes—
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2412yes—
1157C2×C42C2411yescharacteristic
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2414yes—
1161C2×C42C2412yes—
1162C2×C42C2414yes—
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165#95C2412yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2411yescharacteristic
1179#95C2412yes—
1180#95C2411yescharacteristic
1181#95C2411yescharacteristic
1182#95C2411yescharacteristic
1183#95C2411yescharacteristic
1184#95C2412yes—
1185#95C2411yescharacteristic
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#95C2414yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225C24—28no—
1226C24—44no—
1227C24—44no—
1228C24—44no—
1229C24—44no—
1230C24—44no—
1231C24—44no—
1232C24C2514yes—
1233C24C2514yes—
1234C24C2512yes—
1235C24C2511yescharacteristic
1236C24C2511yescharacteristic
1237C24C2512yes—
1238#41—416no—
1239#41—816no—
1240#41—816no—
1241#41—816no—
1242C2×Q8—22no—
1243C2×Q8—22no—
1244C2×Q8—24no—
1245C2×Q8—22no—
1246C2×Q8—24no—
1247C2×Q8—22no—
1248C2×Q8—24no—
1249C2×Q8—22no—
1250C2×Q8—22no—
1251C2×Q8—42no—
1252C2×Q8—42no—
1253C2×Q8—42no—
1254C2×D4—22no—
1255C2×D4—24no—
1256C2×D4—24no—
1257C2×D4—24no—
1258C2×D4—28no—
1259C2×D4—28no—
1260C2×D4—28no—
1261C2×D4—28no—
1262C2×D4—24no—
1263C2×D4—28no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—28no—
1277C2×D4—24no—
1278C2×D4—22no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—22no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—28no—
1285C2×D4—42no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—42no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—42no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—42no—
1311C2×D4—44no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—44no—
1315C2×D4—42no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—42no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—816no—
1335C2×D4—816no—
1336C2×D4—816no—
1337C2×D4H(5,𝔽2)14yes—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—24no—
1341C22×C4—28no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—22no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—22no—
1353C22×C4—24no—
1354C22×C4—22no—
1355C22×C4—24no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—42no—
1363C22×C4—41no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—44no—
1368C22×C4—44no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—41no—
1378C22×C4—42no—
1379C22×C4—42no—
1380C22×C4—44no—
1381C22×C4—41no—
1382C22×C4—42no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4H(5,𝔽2)14yes—
1392C22×C4C2511yescharacteristic
1393C22×C4C2512yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2511yescharacteristic
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2514yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2512yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2514yes—
1415C22×C4C2512yes—
1416C22×C4C2511yescharacteristic
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2511yescharacteristic
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—24no—
1424C4⋊C4—28no—
1425C4⋊C4—22no—
1426C4⋊C4—24no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—24no—
1436C4⋊C4—22no—
1437C4⋊C4—24no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—22no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—41no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—44no—
1459C4⋊C4—44no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—44no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—44no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—44no—
1471C4⋊C4—42no—
1472C4⋊C4—42no—
1473C4⋊C4—42no—
1474C22⋊C4—22no—
1475C22⋊C4—24no—
1476C22⋊C4—24no—
1477C22⋊C4—28no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—22no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—22no—
1486C22⋊C4—24no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—42no—
1499C22⋊C4—41no—
1500C22⋊C4—41no—
1501C22⋊C4—44no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—42no—
1505C22⋊C4—41no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—42no—
1518C22⋊C4—44no—
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—42no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—42no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—42no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—44no—
1548C22⋊C4—42no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—22no—
1553C42—22no—
1554C42—22no—
1555C42—22no—
1556C42—24no—
1557C42—24no—
1558C42—24no—
1559C42—24no—
1560C42—22no—
1561C42—24no—
1562C42—22no—
1563C42—22no—
1564C42—24no—
1565C42—42no—
1566C42—42no—
1567C42—42no—
1568C42—42no—
1569C42—41no—
1570C42—44no—
1571C42—41no—
1572C42—44no—
1573C42H(5,𝔽2)14yes—
1574C23—22no—
1575C23—21no—
1576C23—21no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—21no—
1581C23—21no—
1582C23—22no—
1583C23—21no—
1584C23—21no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—21no—
1589C23—21no—
1590C23—24no—
1591C23—24no—
1592C23—24no—
1593C23—24no—
1594C23—21no—
1595C23—24no—
1596C23—22no—
1597C23—24no—
1598C23—21no—
1599C23—22no—
1600C23—21no—
1601C23—22no—
1602C23—24no—
1603C23—24no—
1604C23—24no—
1605C23—24no—
1606C23—22no—
1607C23—24no—
1608C23—24no—
1609C23—21no—
1610C23—22no—
1611C23—24no—
1612C23—24no—
1613C23—21no—
1614C23—88no—
1615C23—88no—
1616C23—88no—
1617C23—88no—
1618C23—88no—
1619C23—164no—
1620C23—164no—
1621C23C2×H(5,𝔽2)12yes—
1622C23C2×H(5,𝔽2)14yes—
1623C23C2611yescharacteristic
1624Q8—44no—
1625Q8—44no—
1626Q8—48no—
1627Q8—84no—
1628D4—28no—
1629D4—48no—
1630D4—48no—
1631D4—44no—
1632D4—48no—
1633D4—48no—
1634D4—44no—
1635D4—48no—
1636D4—48no—
1637D4—88no—
1638D4—88no—
1639D4—84no—
1640D4—88no—
1641D4—88no—
1642D4—88no—
1643D4—88no—
1644D4—84no—
1645D4—84no—
1646D4—88no—
1647D4—84no—
1648D4—88no—
1649D4—88no—
1650D4—88no—
1651D4—164no—
1652D4—164no—
1653D4—164no—
1654D4—164no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—28no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—24no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—24no—
1687C2×C4—22no—
1688C2×C4—21no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—24no—
1693C2×C4—22no—
1694C2×C4—24no—
1695C2×C4—22no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—24no—
1719C2×C4—22no—
1720C2×C4—21no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—24no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—44no—
1735C2×C4—48no—
1736C2×C4—44no—
1737C2×C4—48no—
1738C2×C4—48no—
1739C2×C4—44no—
1740C2×C4—44no—
1741C2×C4—84no—
1742C2×C4—82no—
1743C2×C4—88no—
1744C2×C4—84no—
1745C2×C4—84no—
1746C2×C4—88no—
1747C2×C4—88no—
1748C2×C4—88no—
1749C2×C4—164no—
1750C2×C4—164no—
1751C2×C4C2×H(5,𝔽2)12yes—
1752C2×C4C2×H(5,𝔽2)12yes—
1753C2×C4C2×H(5,𝔽2)12yes—
1754C2×C4C2×H(5,𝔽2)12yes—
1755C2×C4C2×H(5,𝔽2)12yes—
1756C2×C4C2×H(5,𝔽2)12yes—
1757C2×C4#58512yes—
1758C2×C4#58512yes—
1759C2×C4#58512yes—
1760C22—22no—
1761C22—24no—
1762C22—24no—
1763C22—22no—
1764C22—24no—
1765C22—22no—
1766C22—42no—
1767C22—41no—
1768C22—41no—
1769C22—42no—
1770C22—41no—
1771C22—41no—
1772C22—42no—
1773C22—42no—
1774C22—42no—
1775C22—41no—
1776C22—44no—
1777C22—44no—
1778C22—41no—
1779C22—44no—
1780C22—44no—
1781C22—42no—
1782C22—42no—
1783C22—41no—
1784C22—44no—
1785C22—44no—
1786C22—44no—
1787C22—41no—
1788C22—42no—
1789C22—44no—
1790C22—42no—
1791C22—41no—
1792C22—44no—
1793C22—44no—
1794C22—41no—
1795C22—44no—
1796C22—44no—
1797C22—42no—
1798C22—44no—
1799C22—42no—
1800C22—41no—
1801C22—44no—
1802C22—1616no—
1803C22C22×H(5,𝔽2)11yescharacteristic
1804C22C22×H(5,𝔽2)11yescharacteristic
1805C22C22×H(5,𝔽2)11yescharacteristic
1806C22C2×#58511yescharacteristic
1807C22C2×#58511yescharacteristic
1808C22C2×#58511yescharacteristic
1809C22H(7,𝔽2)11yescharacteristic
1810C4—22no—
1811C4—22no—
1812C4—22no—
1813C4—41no—
1814C4—42no—
1815C4—42no—
1816C4—42no—
1817C4—44no—
1818C4—41no—
1819C4—42no—
1820C4—41no—
1821C4—41no—
1822C4—42no—
1823C4—42no—
1824C4—42no—
1825C4—42no—
1826C4—41no—
1827C4—41no—
1828C4—42no—
1829C4—42no—
1830C4—42no—
1831C4—42no—
1832C4—41no—
1833C4—42no—
1834C4—42no—
1835C4—44no—
1836C4—41no—
1837C4#353714yes—
1838C4#356214yes—
1839C2—44no—
1840C2—42no—
1841C2—81no—
1842C2—82no—
1843C2—84no—
1844C2—84no—
1845C2C2×#353711yescharacteristic
1846C2C2×#356211yescharacteristic
1847C2#6283611yescharacteristic
1848C2#6292011yescharacteristic
1849C2#6292411yescharacteristic
1850C2#6295511yescharacteristic
1851C2#6302111yescharacteristic
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. #59647C2semidirect
2. #59124C2semidirect
3. #59051C2semidirect
4. #56509C2semidirect
5. #55443C2semidirect
6. #55036C2semidirect
7. #53087C2semidirect
8. #52971C2semidirect
9. #48505C2semidirect
10. #45708C2semidirect
11. #45610C2semidirect
12. #45380C2semidirect
13. #44892C2semidirect
14. #42673C2semidirect
15. #42595C2semidirect
16. #42566C2semidirect
17. #42539C2semidirect
18. #39865C2semidirect
19. #39767C2semidirect
20. #39734C2semidirect
21. #39725C2semidirect
22. #39148C2semidirect
23. #38987C2semidirect
24. #38123C2semidirect
25. #37682C2semidirect
26. #37619C2semidirect
27. #37371C2semidirect
28. #37332C2semidirect
29. #36259C2semidirect
30. #36125C2semidirect
31. #36121C2semidirect
32. #35272C2semidirect
33. #35197C2semidirect
34. #34917C2semidirect
35. #34720C2semidirect
37. C2×#550C22semidirect
39. C2×#547C22semidirect
43. C2×#533C22semidirect
45. C2×#532C22semidirect
53. #2854C22semidirect
54. #2854C22semidirect
55. #2850C22semidirect
56. #2850C22semidirect
57. #2829C22semidirect
58. #2829C22semidirect
59. #2827C22semidirect
60. #2826C22semidirect
61. #2825C22semidirect
62. #2825C22semidirect
63. #2816C22semidirect
65. #2808C22semidirect
66. #2803C22semidirect
67. #2800C22semidirect
68. #2797C22semidirect
69. #2797C22semidirect
70. #2796C22semidirect
71. #2796C22semidirect
72. #2786C22semidirect
73. #2780C22semidirect
74. #2766C22semidirect
75. #2760C22semidirect
76. #2756C22semidirect
77. #2752C22semidirect
78. #2749C22semidirect
79. #2749C22semidirect
80. #2749C22semidirect
82. #2746C22semidirect
83. #2746C22semidirect
84. #2740C22semidirect
87. #2724C22semidirect
88. #2711C22semidirect
89. #2710C22semidirect
90. #2703C22semidirect
91. #2701C22semidirect
92. #2701C22semidirect
93. #2699C22semidirect
95. #2688C22semidirect
96. #2688C22semidirect
97. #2688C22semidirect
99. #2682C22semidirect
101. #2676C22semidirect
102. #2676C22semidirect
104. #2673C22semidirect
105. #2673C22semidirect
106. #2673C22semidirect
107. #2673C22semidirect
108. #2671C22semidirect
109. #2671C22semidirect
110. #2671C22semidirect
114. #2658C22semidirect
115. #2648C22semidirect
116. #2644C22semidirect
117. #2644C22semidirect
118. #2640C22semidirect
119. #2639C22semidirect
120. #2635C22semidirect
121. #2633C22semidirect
122. #2631C22semidirect
123. #2624C22semidirect
124. #2624C22semidirect
129. #2619C22semidirect
130. #2600C22semidirect
131. #2600C22semidirect
132. #2580C22semidirect
133. #2580C22semidirect
134. #2580C22semidirect
136. #2576C22semidirect
137. #2571C22semidirect
138. #2570C22semidirect
139. #2570C22semidirect
140. #2566C22semidirect
146. #2548C22semidirect
147. #2547C22semidirect
148. #2546C22semidirect
149. #2546C22semidirect
150. #2545C22semidirect
152. #2544C22semidirect
153. #2543C22semidirect
159. #2541C22semidirect
160. #2540C22semidirect
161. #2538C22semidirect
163. #2535C22semidirect
164. #2515C22semidirect
165. #2514C22semidirect
166. #2513C22semidirect
167. #2513C22semidirect
168. #2513C22semidirect
169. #2507C22semidirect
170. #2504C22semidirect
171. #2504C22semidirect
172. #2497C22semidirect
176. #2491C22semidirect
177. #2490C22semidirect
180. #2477C22semidirect
181. #2475C22semidirect
182. #2464C22semidirect
183. #2464C22semidirect
187. #2457C22semidirect
188. #2456C22semidirect
189. #2454C22semidirect
190. #2452C22semidirect
191. #2448C22semidirect
192. #2447C22semidirect
193. #2447C22semidirect
194. #2446C22semidirect
195. #2446C22semidirect
199. #2445C22semidirect
200. #2444C22semidirect
201. #2443C22semidirect
202. #2443C22semidirect
203. #2443C22semidirect
208. #2432C22semidirect
209. #2432C22semidirect
210. #2432C22semidirect
211. #2432C22semidirect
214. #2431C22semidirect
215. #2431C22semidirect
216. #2429C22semidirect
220. #2428C22semidirect
221. #2428C22semidirect
222. #2428C22semidirect
223. #2428C22semidirect
224. #2427C22semidirect
225. #2427C22semidirect
226. #2426C22semidirect
229. #2422C22semidirect
230. #2421C22semidirect
232. #2420C22semidirect
233. #2420C22semidirect
234. #2420C22semidirect
235. #2420C22semidirect
240. #2416C22semidirect
241. #2416C22semidirect
242. #2416C22semidirect
245. #2413C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2401C22semidirect
260. #2377C22semidirect
262. #2366C22semidirect
263. #2365C22semidirect
264. #2361C22semidirect
265. #2361C22semidirect
266. #2361C22semidirect
267. #2361C22semidirect
268. #2355C22semidirect
269. D4×C4⋊C4C22semidirect
270. #2339C22semidirect
274. #2328C22semidirect
275. #2328C22semidirect
276. #2325C22semidirect
277. #2324C22semidirect
279. #2319C22semidirect
280. #2319C22semidirect
283. C4×#125C22semidirect
284. C4×#124C22semidirect
286. C4×C22⋊Q8C22semidirect
287. C4×#123C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. #2295C22semidirect
292. C2×#389C22semidirect
294. #2290C22semidirect
296. #2283C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#596472
#591242
#590512
#565092
#554432
#550362
#530872
#529712
#485052
#457082
#456102
#453802
#448922
#426732
#425952
#425662
#425392
#398652
#397672
#397342
#397252
#391482
#389872
#381232
#376822
#376192
#373712
#373322
#362592
#361252
#361212
#352722
#351972
#349172
#347202