Finite Group Databasebeta

← #8174453

Subgroups — #8174453

Order 512.

5910 conjugacy classes of subgroups.

The subgroup lattice has 1897 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59124C211yesmaximal, characteristic, complemented
2#59124C211yesmaximal, characteristic, complemented
3#59064C211yesmaximal, characteristic, complemented
4#59051C211yesmaximal, characteristic, complemented
5#58296C214yesmaximal, complemented
6#57189C214yesmaximal, complemented
7#55163C214yesmaximal, complemented
8#54180C214yesmaximal, complemented
9#53090C212yesmaximal, complemented
10#53090C212yesmaximal, complemented
11#53088C212yesmaximal, complemented
12#52969C212yesmaximal, complemented
13#45038C212yesmaximal, complemented
14#45002C212yesmaximal, complemented
15#42969C212yesmaximal, complemented
16#42566C212yesmaximal, complemented
17#42518C212yesmaximal, complemented
18#42483C212yesmaximal, complemented
19#42435C212yesmaximal, complemented
20#42425C212yesmaximal, complemented
21#39771C211yesmaximal, characteristic, complemented
22#39745C211yesmaximal, characteristic, complemented
23#39745C211yesmaximal, characteristic, complemented
24#39386C211yesmaximal, characteristic, complemented
25#38987C211yesmaximal, characteristic, complemented
26#38956C211yesmaximal, characteristic, complemented
27#37748C212yesmaximal, complemented
28#37681C212yesmaximal, complemented
29#37618C212yesmaximal, complemented
30#37290C212yesmaximal, complemented
31#36128C211yesmaximal, characteristic, complemented
32#36125C211yesmaximal, characteristic, complemented
33#35274C211yesmaximal, characteristic, complemented
34#34913C211yesmaximal, characteristic, complemented
35#34619C211yesmaximal, characteristic, complemented
36C2×#559C2211yescharacteristic, complemented
37C2×#550C2211yescharacteristic
38C2×#550C2211yescharacteristic
39C2×#550C2212yes—
40C2×#550C2212yescomplemented
41C2×#547C2211yescharacteristic, complemented
42C2×#546C2212yes—
43C2×#546C2212yes—
44C2×#540C2212yescomplemented
45C2×#535C2212yes—
46C2×#535C2212yes—
47C2×#532C2211yescharacteristic
48C2×#532C2212yescomplemented
49C2×#532C2212yescomplemented
50C22×#127C2211yescharacteristic
51#2867C2211yescharacteristic
52#2867C2211yescharacteristic
53#2858C2211yescharacteristic
54#2858C2211yescharacteristic
55#2856C2212yescomplemented
56#2850C2212yescomplemented
57#2828C2214yescomplemented
58#2826C2214yescomplemented
59#2825C2214yescomplemented
60#2825C2214yescomplemented
61#2815C2214yescomplemented
62#2815C2214yescomplemented
63#2815C2214yescomplemented
64#2815C2214yescomplemented
65#2815C2214yescomplemented
66#2815C2214yescomplemented
67#2813C2214yescomplemented
68#2812C2214yes—
69#2796C2214yescomplemented
70#2786C2214yescomplemented
71#2778C2214yescomplemented
72#2778C2214yescomplemented
73#2756C2214yescomplemented
74#2753C2214yescomplemented
75#2751C2214yescomplemented
76#2749C2214yescomplemented
77#2740C2214yescomplemented
78#2708C2214yes—
79#2708C2214yescomplemented
80#2708C2214yescomplemented
81#2706C2214yescomplemented
82#2703C2214yescomplemented
83#2703C2214yescomplemented
84#2703C2214yescomplemented
85#2703C2214yescomplemented
86#2699C2214yescomplemented
87#2693C2214yescomplemented
88#2688C2214yescomplemented
89#2688C2214yescomplemented
90#2688C2214yescomplemented
91#2688C2214yescomplemented
92#2688C2214yescomplemented
93#2688C2214yescomplemented
94#2686C2214yescomplemented
95#2684C2214yes—
96#2675C2214yescomplemented
97#2675C2214yescomplemented
98#2675C2214yescomplemented
99#2673C2214yes—
100#2673C2214yes—
101#2673C2214yes—
102#2673C2214yescomplemented
103#2673C2214yescomplemented
104#2673C2214yescomplemented
105#2673C2214yescomplemented
106#2673C2214yescomplemented
107#2673C2214yescomplemented
108#2671C2214yescomplemented
109#2671C2214yescomplemented
110#2669C2214yes—
111#2669C2214yes—
112#2669C2214yes—
113#2669C2214yes—
114#2668C2214yes—
115#2668C2214yes—
116#2668C2214yes—
117#2657C2212yes—
118#2657C2212yes—
119#2657C2212yescomplemented
120#2657C2212yescomplemented
121#2656C2214yescomplemented
122#2654C2212yescomplemented
123#2653C2212yes—
124#2650C2212yescomplemented
125#2649C2212yes—
126#2647C2211yescharacteristic, complemented
127#2645C2211yescharacteristic, complemented
128#2644C2211yescharacteristic, complemented
129#2644C2212yescomplemented
130#2640C2211yescharacteristic, complemented
131#2640C2212yescomplemented
132#2635C2214yescomplemented
133#2631C2214yescomplemented
134#2631C2214yescomplemented
135#2628C2211yescharacteristic
136#2625C2211yescharacteristic
137#2624C2211yescharacteristic
138#2622C2214yes—
139#2620C2211yescharacteristic
140#2619C2212yescomplemented
141#2619C2212yescomplemented
142#2617C2214yes—
143#2615C2214yescomplemented
144#2615C2214yescomplemented
145#2592C2212yescomplemented
146#2580C2212yescomplemented
147#2578C2212yes—
148#2577C2212yescomplemented
149#2576C2212yes—
150#2575C2212yescomplemented
151#2568C2211yescharacteristic, complemented
152#2548C2211yescharacteristic
153#2548C2211yescharacteristic
154#2548C2212yescomplemented
155#2547C2212yescomplemented
156#2547C2212yescomplemented
157#2546C2211yescharacteristic, complemented
158#2545C2212yescomplemented
159#2544C2212yescomplemented
160#2544C2212yescomplemented
161#2543C2214yescomplemented
162#2541C2212yes—
163#2541C2211yescharacteristic
164#2541C2211yescharacteristic
165#2541C2212yes—
166#2541C2212yes—
167#2541C2212yes—
168#2541C2212yes—
169#2541C2212yes—
170#2541C2212yes—
171#2541C2211yescharacteristic, complemented
172#2541C2212yescomplemented
173#2541C2212yescomplemented
174#2541C2212yescomplemented
175#2541C2211yescharacteristic, complemented
176#2541C2212yescomplemented
177#2541C2212yescomplemented
178#2535C2214yescomplemented
179#2535C2214yescomplemented
180#2514C2211yescharacteristic, complemented
181#2513C2212yescomplemented
182#2513C2212yescomplemented
183#2508C2211yescharacteristic, complemented
184#2504C2212yescomplemented
185#2495C2211yescharacteristic
186#2489C2211yescharacteristic
187#2464C2214yescomplemented
188#2464C2214yescomplemented
189#2456C2214yescomplemented
190#2456C2214yescomplemented
191#2456C2214yescomplemented
192#2454C2212yescomplemented
193#2454C2211yescharacteristic, complemented
194#2448C2212yescomplemented
195#2448C2212yescomplemented
196#2447C2212yescomplemented
197#2447C2212yescomplemented
198#2447C2212yescomplemented
199#2447C2212yescomplemented
200#2447C2211yescharacteristic, complemented
201#2447C2212yescomplemented
202#2445C2212yes—
203#2445C2212yes—
204#2445C2212yescomplemented
205#2445C2212yescomplemented
206#2444C2214yescomplemented
207#2433C2212yes—
208#2433C2212yes—
209#2433C2212yes—
210#2433C2212yes—
211#2433C2212yes—
212#2433C2212yes—
213#2432C2212yes—
214#2432C2212yescomplemented
215#2431C2212yes—
216#2431C2212yes—
217#2431C2212yescomplemented
218#2431C2212yescomplemented
219#2431C2214yescomplemented
220#2431C2212yescomplemented
221#2431C2212yescomplemented
222#2431C2212yescomplemented
223#2431C2212yescomplemented
224#2431C2212yescomplemented
225#2431C2212yescomplemented
226#2431C2212yescomplemented
227#2430C2214yescomplemented
228#2428C2212yes—
229#2428C2212yes—
230#2428C2212yescomplemented
231#2428C2212yescomplemented
232#2428C2212yescomplemented
233#2428C2212yescomplemented
234#2428C2214yescomplemented
235#2428C2212yescomplemented
236#2428C2212yescomplemented
237#2428C2212yescomplemented
238#2428C2212yescomplemented
239#2428C2212yescomplemented
240#2428C2212yescomplemented
241#2428C2212yescomplemented
242#2427C2211yescharacteristic
243#2427C2212yes—
244#2427C2212yescomplemented
245#2427C2212yescomplemented
246#2426C2212yescomplemented
247#2424C2214yes—
248#2424C2214yes—
249#2420C2212yes—
250#2420C2211yescharacteristic
251#2419C2214yescomplemented
252#2418C2214yes—
253#2416C2212yes—
254#2412C2214yes—
255#2410C2214yes—
256#2410C2214yes—
257#2408C2212yes—
258#2408C2212yes—
259#2407C2212yes—
260#2404C2214yes—
261#2401C2212yescomplemented
262#2401C2212yescomplemented
263#2398C2212yes—
264#2396C2212yescomplemented
265#2395C2212yes—
266#2395C2212yes—
267#2366C2211yescharacteristic
268#2366C2211yescharacteristic
269#2366C2211yescharacteristic, complemented
270#2366C2212yescomplemented
271#2365C2211yescharacteristic, complemented
272#2361C2212yescomplemented
273#2361C2212yescomplemented
274#2361C2212yescomplemented
275#2349C2212yescomplemented
276#2339C2212yes—
277D4×C22⋊C4C2212yes—
278D4×C22⋊C4C2212yes—
279#2328C2212yescomplemented
280#2328C2212yescomplemented
281#2326C2212yescomplemented
282#2319C2212yescomplemented
283#2311C2212yescomplemented
284C4×C4⋊Q8C2211yescharacteristic, complemented
285C4×#125C2211yescharacteristic, complemented
286C4×#124C2211yescharacteristic, complemented
287C4×#124C2211yescharacteristic, complemented
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2211yescharacteristic
290C4×#121C2211yescharacteristic
291C4×#121C2211yescharacteristic
292#2295C2211yescharacteristic, complemented
293#2295C2211yescharacteristic, complemented
294#2293C2211yescharacteristic, complemented
295#2290C2212yes—
296#2283C2212yescomplemented
297C42×D4C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C22×#41C2312yes—
303C22×#41C2314yes—
304C23×D4C2312yes—
305C23×D4C2312yes—
306C23×D4C2312yes—
307#559—44no—
308#550—48no—
309#550—44no—
310#550—44no—
311#550—48no—
312#547—44no—
313#546—48no—
314#546—48no—
315#540—48no—
316#535—48no—
317#535—48no—
318#532—48no—
319#532—44no—
320#532—48no—
321C2×C4⋊Q8C2311yescharacteristic
322C2×C4⋊Q8C2311yescharacteristic
323C2×C4⋊Q8C2312yes—
324C2×#127—44no—
325C2×#127C2312yes—
326C2×#127C2311yescharacteristic
327C2×#127C2311yescharacteristic
328C2×#127C2311yescharacteristic
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2312yes—
332C2×#127C2312yes—
333C2×#127C2312yes—
334C2×#127C2312yes—
335C2×#127C2312yes—
336C2×#127C2312yes—
337C2×#127C2312yes—
338C2×#127C2312yes—
339C2×#127C2312yes—
340C2×#127C2312yes—
341C2×#127C2312yes—
342C2×#127C2314yes—
343C2×#127C2312yes—
344C2×#127C2312yes—
345C2×#127C2312yes—
346C2×#127C2312yes—
347C2×#127C2312yes—
348C2×#127C2312yes—
349C2×#127C2312yes—
350C2×#125C2311yescharacteristic
351C2×#124C2312yes—
352C2×#124C2311yescharacteristic
353C2×#124C2312yes—
354C2×#124C2312yes—
355C2×#124C2312yes—
356C2×#124C2312yes—
357C2×#124C2314yes—
358C2×#124C2312yes—
359C2×#124C2311yescharacteristic
360C2×#124C2312yes—
361C2×#124C2312yes—
362C2×#124C2312yes—
363C2×#123C2314yes—
364C2×#123C2314yes—
365C2×#123C2314yes—
366C2×#123C2314yes—
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×C22⋊Q8C2311yescharacteristic
370C2×C22⋊Q8C2311yescharacteristic
371C2×C22⋊Q8C2312yes—
372C2×#121C2312yes—
373C2×#121C2311yescharacteristic
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#121C2314yes—
403C2×#121C2311yescharacteristic
404C2×#121C2314yes—
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2314yes—
411C2×#121C2314yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#120C2314yes—
415C2×#120C2314yes—
416C2×#120C2314yes—
417C2×#120C2314yes—
418C2×#120C2314yes—
419C2×#120C2314yes—
420C2×#120C2314yes—
421C2×#120C2314yes—
422C2×C4×Q8C2311yescharacteristic
423C2×C4×Q8C2311yescharacteristic
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2311yescharacteristic
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2314yes—
442C2×C4×D4C2314yes—
443C2×C4×D4C2314yes—
444C2×C4×D4C2314yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2311yescharacteristic
448C2×#117C2311yescharacteristic
449C2×#117C2311yescharacteristic
450C2×#117C2312yes—
451C22×C4⋊C4C2312yes—
452C22×C22⋊C4C2314yes—
453C22×C22⋊C4C2314yes—
454C22×C42C2312yes—
455C22×C42C2311yescharacteristic
456#401C2312yes—
457#401C2312yes—
458#400C2314yes—
459#400C2312yes—
460#400C2312yes—
461#400C2312yes—
462#400C2312yes—
463#400C2312yes—
464#400C2312yes—
465#400C2312yes—
466#400C2312yes—
467#400C2312yes—
468#400C2312yes—
469#400C2312yes—
470#399C2314yes—
471#399C2312yes—
472#399C2312yes—
473#399C2312yes—
474#399C2314yes—
475#398C2312yes—
476#398C2312yes—
477#398C2312yes—
478#398C2312yes—
479#398C2314yes—
480#397C2312yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2312yes—
489#397C2312yes—
490#397C2312yes—
491#397C2312yes—
492#397C2312yes—
493#397C2312yes—
494#397C2314yes—
495#397C2314yes—
496#397C2312yes—
497#397C2312yes—
498#397C2314yes—
499#397C2312yes—
500#397C2312yes—
501#397C2314yes—
502#397C2314yes—
503#397C2312yes—
504#397C2312yes—
505#397C2312yes—
506#397C2314yes—
507#397C2314yes—
508#397C2314yes—
509#397C2314yes—
510#396C2312yes—
511#396C2314yes—
512#396C2314yes—
513#396C2312yes—
514#396C2312yes—
515#396C2312yes—
516#396C2314yes—
517#395C2312yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2312yes—
531#394C2312yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2312yes—
538#394C2312yes—
539#394C2314yes—
540#394C2314yes—
541#394C2312yes—
542#394C2312yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#393C2314yes—
549#393C2314yes—
550#393C2312yes—
551#393C2312yes—
552#393C2312yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#391C2312yes—
601#391C2311yescharacteristic
602#391C2312yes—
603#391C2312yes—
604#391C2312yes—
605#391C2311yescharacteristic
606#391C2312yes—
607#391C2311yescharacteristic
608#391C2312yes—
609#391C2311yescharacteristic
610#391C2311yescharacteristic
611#391C2311yescharacteristic
612#391C2311yescharacteristic
613#391C2311yescharacteristic
614#390C2312yes—
615#390C2312yes—
616#390C2314yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2312yes—
628#390C2312yes—
629#390C2312yes—
630#390C2314yes—
631#390C2312yes—
632#390C2314yes—
633#390C2312yes—
634#390C2312yes—
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#390C2311yescharacteristic
639#390C2312yes—
640#390C2311yescharacteristic
641#390C2312yes—
642#390C2312yes—
643#390C2311yescharacteristic
644#390C2311yescharacteristic
645#390C2311yescharacteristic
646#390C2311yescharacteristic
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2311yescharacteristic
650#389C2311yescharacteristic
651#389C2312yes—
652#389C2312yes—
653#389C2311yescharacteristic
654#389C2312yes—
655#389C2311yescharacteristic
656#389C2311yescharacteristic
657#389C2312yes—
658#389C2311yescharacteristic
659#389C2311yescharacteristic
660#389C2311yescharacteristic
661#389C2311yescharacteristic
662#389C2311yescharacteristic
663#389C2311yescharacteristic
664#389C2311yescharacteristic
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2312yes—
670#388C2312yes—
671#388C2312yes—
672#388C2312yes—
673#388C2312yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2312yes—
682#388C2312yes—
683#388C2312yes—
684#388C2312yes—
685#388C2312yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#387C2312yes—
692#387C2312yes—
693#387C2314yes—
694#387C2312yes—
695#387C2312yes—
696#387C2312yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2312yes—
707#386C2312yes—
708#386C2312yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2312yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#385C2314yes—
742#385C2312yes—
743#385C2312yes—
744#385C2312yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2312yes—
753#385C2314yes—
754#385C2314yes—
755#384C2311yescharacteristic
756#383C2312yes—
757#383C2312yes—
758#382C2311yescharacteristic
759#382C2312yes—
760#382C2312yes—
761#382C2312yes—
762#382C2311yescharacteristic
763#382C2311yescharacteristic
764#381C2314yes—
765#381C2312yes—
766#381C2312yes—
767#381C2314yes—
768#381C2314yes—
769#381C2314yes—
770#380C2314yes—
771#380C2314yes—
772#380C2314yes—
773#380C2312yes—
774#380C2312yes—
775#380C2311yescharacteristic
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#380C2314yes—
779#380C2314yes—
780#380C2314yes—
781#380C2311yescharacteristic
782#379C2314yes—
783#379C2314yes—
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2311yescharacteristic
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2311yescharacteristic
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818#376C2312yes—
819#376C2312yes—
820#376C2311yescharacteristic
821#376C2311yescharacteristic
822C2×#95C2314yes—
823C43C2311yescharacteristic
824C43C2311yescharacteristic
825C25C2414yes—
826C2×#41—28no—
827C2×#41—48no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—48no—
832C2×#41—44no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41—44no—
838C2×#41—44no—
839C2×#41—44no—
840C2×#41—84no—
841C22×Q8C2411yescharacteristic
842C22×Q8C2412yes—
843C22×Q8C2411yescharacteristic
844C22×Q8C2412yes—
845C22×D4—28no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—44no—
851C22×D4—44no—
852C22×D4—82no—
853C22×D4—82no—
854C22×D4C2411yescharacteristic
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2411yescharacteristic
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2412yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2414yes—
877C22×D4C2414yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C22×D4C2414yes—
884C22×D4C2414yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2411yescharacteristic
895C23×C4C2412yes—
896C23×C4C2411yescharacteristic
897C23×C4C2414yes—
898C23×C4C2414yes—
899C23×C4C2414yes—
900C23×C4C2412yes—
901C23×C4C2411yescharacteristic
902C23×C4C2414yes—
903C23×C4C2414yes—
904C23×C4C2414yes—
905C23×C4C2414yes—
906C23×C4C2414yes—
907C4⋊Q8—24no—
908C4⋊Q8—24no—
909C4⋊Q8—44no—
910#127—24no—
911#127—24no—
912#127—28no—
913#127—24no—
914#127—44no—
915#127—44no—
916#127—44no—
917#127—44no—
918#127—44no—
919#127—44no—
920#127—44no—
921#127—44no—
922#127—44no—
923#127—44no—
924#127—44no—
925#127—44no—
926#127—44no—
927#127—44no—
928#127—44no—
929#127—44no—
930#127—48no—
931#127—82no—
932#127—82no—
933#127—82no—
934#127—82no—
935#125—24no—
936#124—24no—
937#124—28no—
938#124—42no—
939#124—48no—
940#124—44no—
941#124—44no—
942#124—44no—
943#124—44no—
944#124—44no—
945#124—44no—
946#124—44no—
947#124—44no—
948#123—48no—
949#123—48no—
950#123—48no—
951#123—48no—
952#123—48no—
953#123—48no—
954C22⋊Q8—24no—
955C22⋊Q8—24no—
956C22⋊Q8—44no—
957#121—24no—
958#121—28no—
959#121—48no—
960#121—48no—
961#121—48no—
962#121—48no—
963#121—48no—
964#121—48no—
965#121—48no—
966#121—48no—
967#121—48no—
968#121—48no—
969#121—48no—
970#121—48no—
971#121—48no—
972#121—44no—
973#121—44no—
974#121—42no—
975#121—44no—
976#121—44no—
977#121—44no—
978#121—48no—
979#121—44no—
980#121—48no—
981#121—48no—
982#121—48no—
983#121—44no—
984#121—44no—
985#121—48no—
986#121—44no—
987#121—44no—
988#121—44no—
989#121—44no—
990#121—84no—
991#121—84no—
992#121—84no—
993#121—84no—
994#121—84no—
995#121—84no—
996#121—84no—
997#121—84no—
998#121—84no—
999#120—48no—
1000#120—48no—
1001#120—48no—
1002#120—48no—
1003#120—48no—
1004#120—48no—
1005#120—84no—
1006#120—84no—
1007C4×Q8—24no—
1008C4×Q8—24no—
1009C4×Q8—44no—
1010C4×Q8—44no—
1011C4×D4—28no—
1012C4×D4—28no—
1013C4×D4—28no—
1014C4×D4—24no—
1015C4×D4—24no—
1016C4×D4—24no—
1017C4×D4—48no—
1018C4×D4—48no—
1019C4×D4—42no—
1020C4×D4—48no—
1021C4×D4—44no—
1022C4×D4—44no—
1023C4×D4—44no—
1024C4×D4—44no—
1025C4×D4—44no—
1026C4×D4—44no—
1027C4×D4—44no—
1028C4×D4—44no—
1029C4×D4—44no—
1030C4×D4—44no—
1031C4×D4—44no—
1032C4×D4—48no—
1033#117—24no—
1034#117—24no—
1035#117—44no—
1036C2×C4⋊C4—44no—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2411yescharacteristic
1047C2×C4⋊C4C2411yescharacteristic
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2411yescharacteristic
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C22⋊C4—48no—
1083C2×C22⋊C4—48no—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2411yescharacteristic
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C42—24no—
1158C2×C42—28no—
1159C2×C42C2411yescharacteristic
1160C2×C42C2412yes—
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2412yes—
1165C2×C42C2412yes—
1166C2×C42C2412yes—
1167C2×C42C2412yes—
1168C2×C42C2412yes—
1169C2×C42C2412yes—
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2412yes—
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2414yes—
1178C2×C42C2411yescharacteristic
1179C2×C42C2411yescharacteristic
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2411yescharacteristic
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2411yescharacteristic
1189#95C2411yescharacteristic
1190#95C2411yescharacteristic
1191#95C2411yescharacteristic
1192#95C2411yescharacteristic
1193#95C2411yescharacteristic
1194#95C2411yescharacteristic
1195#95C2411yescharacteristic
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2414yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2414yes—
1246C24—28no—
1247C24—44no—
1248C24—44no—
1249C24—44no—
1250C24—44no—
1251C24—44no—
1252C24—44no—
1253C24C2514yes—
1254C24C2514yes—
1255C24C2512yes—
1256C24C2512yes—
1257C24C2514yes—
1258C24C2511yescharacteristic
1259#41—816no—
1260#41—816no—
1261#41—816no—
1262#41—816no—
1263#41—832no—
1264C2×Q8—22no—
1265C2×Q8—22no—
1266C2×Q8—24no—
1267C2×Q8—22no—
1268C2×Q8—22no—
1269C2×Q8—24no—
1270C2×Q8—24no—
1271C2×Q8—22no—
1272C2×Q8—24no—
1273C2×Q8—22no—
1274C2×Q8—42no—
1275C2×Q8—42no—
1276C2×D4—24no—
1277C2×D4—28no—
1278C2×D4—24no—
1279C2×D4—22no—
1280C2×D4—24no—
1281C2×D4—22no—
1282C2×D4—24no—
1283C2×D4—22no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—22no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—22no—
1299C2×D4—28no—
1300C2×D4—24no—
1301C2×D4—28no—
1302C2×D4—28no—
1303C2×D4—28no—
1304C2×D4—24no—
1305C2×D4—24no—
1306C2×D4—22no—
1307C2×D4—24no—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—42no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—44no—
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—44no—
1335C2×D4—44no—
1336C2×D4—42no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—42no—
1351C2×D4—42no—
1352C2×D4—42no—
1353C2×D4—42no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—44no—
1369C2×D4—44no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—816no—
1391C2×D4—816no—
1392C2×D4—816no—
1393C22×C4—22no—
1394C22×C4—22no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—24no—
1398C22×C4—24no—
1399C22×C4—24no—
1400C22×C4—24no—
1401C22×C4—24no—
1402C22×C4—24no—
1403C22×C4—24no—
1404C22×C4—22no—
1405C22×C4—24no—
1406C22×C4—22no—
1407C22×C4—24no—
1408C22×C4—28no—
1409C22×C4—28no—
1410C22×C4—28no—
1411C22×C4—41no—
1412C22×C4—41no—
1413C22×C4—42no—
1414C22×C4—44no—
1415C22×C4—44no—
1416C22×C4—44no—
1417C22×C4—44no—
1418C22×C4—44no—
1419C22×C4—44no—
1420C22×C4—44no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—42no—
1426C22×C4—44no—
1427C22×C4—42no—
1428C22×C4—44no—
1429C22×C4—44no—
1430C22×C4—44no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4H(5,𝔽2)14yes—
1438C22×C4C2511yescharacteristic
1439C22×C4C2511yescharacteristic
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C22×C4C2512yes—
1444C22×C4C2512yes—
1445C22×C4C2512yes—
1446C22×C4C2512yes—
1447C22×C4C2512yes—
1448C22×C4C2512yes—
1449C22×C4C2512yes—
1450C22×C4C2511yescharacteristic
1451C22×C4C2511yescharacteristic
1452C22×C4C2511yescharacteristic
1453C22×C4C2512yes—
1454C22×C4C2512yes—
1455C22×C4C2512yes—
1456C22×C4C2512yes—
1457C22×C4C2514yes—
1458C22×C4C2512yes—
1459C22×C4C2512yes—
1460C22×C4C2511yescharacteristic
1461C22×C4C2511yescharacteristic
1462C22×C4C2511yescharacteristic
1463C22×C4C2511yescharacteristic
1464C22×C4C2512yes—
1465C22×C4C2511yescharacteristic
1466C22×C4C2511yescharacteristic
1467C4⋊C4—22no—
1468C4⋊C4—24no—
1469C4⋊C4—22no—
1470C4⋊C4—22no—
1471C4⋊C4—22no—
1472C4⋊C4—22no—
1473C4⋊C4—22no—
1474C4⋊C4—24no—
1475C4⋊C4—22no—
1476C4⋊C4—22no—
1477C4⋊C4—22no—
1478C4⋊C4—22no—
1479C4⋊C4—24no—
1480C4⋊C4—22no—
1481C4⋊C4—22no—
1482C4⋊C4—24no—
1483C4⋊C4—24no—
1484C4⋊C4—24no—
1485C4⋊C4—22no—
1486C4⋊C4—24no—
1487C4⋊C4—24no—
1488C4⋊C4—24no—
1489C4⋊C4—24no—
1490C4⋊C4—22no—
1491C4⋊C4—22no—
1492C4⋊C4—44no—
1493C4⋊C4—42no—
1494C4⋊C4—42no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4—42no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
1500C4⋊C4—44no—
1501C4⋊C4—42no—
1502C4⋊C4—42no—
1503C4⋊C4—42no—
1504C4⋊C4—42no—
1505C4⋊C4—42no—
1506C4⋊C4—42no—
1507C4⋊C4—42no—
1508C4⋊C4—42no—
1509C4⋊C4—42no—
1510C4⋊C4—42no—
1511C4⋊C4H(5,𝔽2)14yes—
1512C22⋊C4—24no—
1513C22⋊C4—24no—
1514C22⋊C4—22no—
1515C22⋊C4—22no—
1516C22⋊C4—24no—
1517C22⋊C4—28no—
1518C22⋊C4—22no—
1519C22⋊C4—22no—
1520C22⋊C4—28no—
1521C22⋊C4—24no—
1522C22⋊C4—24no—
1523C22⋊C4—28no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—28no—
1530C22⋊C4—28no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—42no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—42no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—42no—
1572C22⋊C4—42no—
1573C22⋊C4—42no—
1574C22⋊C4—42no—
1575C22⋊C4—42no—
1576C22⋊C4—42no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—42no—
1581C22⋊C4—42no—
1582C22⋊C4—44no—
1583C22⋊C4—42no—
1584C22⋊C4—42no—
1585C42—24no—
1586C42—24no—
1587C42—22no—
1588C42—22no—
1589C42—24no—
1590C42—22no—
1591C42—22no—
1592C42—22no—
1593C42—22no—
1594C42—22no—
1595C42—24no—
1596C42—24no—
1597C42—24no—
1598C42—22no—
1599C42—24no—
1600C42—24no—
1601C42—22no—
1602C42—22no—
1603C42—44no—
1604C42—41no—
1605C42—41no—
1606C42—41no—
1607C42—41no—
1608C42H(5,𝔽2)14yes—
1609C42H(5,𝔽2)14yes—
1610C23—21no—
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—22no—
1617C23—24no—
1618C23—24no—
1619C23—22no—
1620C23—24no—
1621C23—22no—
1622C23—24no—
1623C23—22no—
1624C23—22no—
1625C23—22no—
1626C23—24no—
1627C23—24no—
1628C23—24no—
1629C23—22no—
1630C23—24no—
1631C23—24no—
1632C23—24no—
1633C23—24no—
1634C23—24no—
1635C23—22no—
1636C23—22no—
1637C23—24no—
1638C23—24no—
1639C23—22no—
1640C23—24no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—24no—
1645C23—24no—
1646C23—24no—
1647C23—22no—
1648C23—24no—
1649C23—24no—
1650C23—24no—
1651C23—88no—
1652C23—88no—
1653C23—88no—
1654C23—88no—
1655C23—88no—
1656C23—164no—
1657C23—164no—
1658C23C2×H(5,𝔽2)12yes—
1659C23C2611yescharacteristic
1660Q8—48no—
1661Q8—44no—
1662Q8—48no—
1663Q8—44no—
1664D4—48no—
1665D4—48no—
1666D4—48no—
1667D4—44no—
1668D4—44no—
1669D4—48no—
1670D4—48no—
1671D4—48no—
1672D4—84no—
1673D4—88no—
1674D4—88no—
1675D4—88no—
1676D4—84no—
1677D4—84no—
1678D4—88no—
1679D4—84no—
1680D4—84no—
1681D4—88no—
1682D4—88no—
1683D4—88no—
1684D4—88no—
1685D4—88no—
1686D4—88no—
1687D4—88no—
1688D4—88no—
1689D4—88no—
1690D4—88no—
1691D4—164no—
1692D4—164no—
1693D4—164no—
1694D4—164no—
1695D4—164no—
1696D4—164no—
1697D4—164no—
1698D4—164no—
1699D4—164no—
1700D4—164no—
1701D4—164no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—28no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—24no—
1738C2×C4—22no—
1739C2×C4—24no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—24no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—48no—
1780C2×C4—44no—
1781C2×C4—48no—
1782C2×C4—44no—
1783C2×C4—48no—
1784C2×C4—84no—
1785C2×C4—88no—
1786C2×C4—88no—
1787C2×C4—88no—
1788C2×C4—88no—
1789C2×C4—88no—
1790C2×C4—88no—
1791C2×C4—164no—
1792C2×C4—164no—
1793C2×C4C2×H(5,𝔽2)12yes—
1794C2×C4C2×H(5,𝔽2)12yes—
1795C2×C4C2×H(5,𝔽2)12yes—
1796C2×C4C2×H(5,𝔽2)14yes—
1797C2×C4C2×H(5,𝔽2)12yes—
1798C2×C4C2×H(5,𝔽2)12yes—
1799C2×C4C2×H(5,𝔽2)12yes—
1800C2×C4C2×H(5,𝔽2)12yes—
1801C2×C4C2×H(5,𝔽2)12yes—
1802C2×C4C2×H(5,𝔽2)12yes—
1803C2×C4#58512yes—
1804C22—22no—
1805C22—22no—
1806C22—22no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—42no—
1812C22—42no—
1813C22—44no—
1814C22—44no—
1815C22—44no—
1816C22—42no—
1817C22—44no—
1818C22—44no—
1819C22—42no—
1820C22—44no—
1821C22—44no—
1822C22—44no—
1823C22—44no—
1824C22—42no—
1825C22—42no—
1826C22—42no—
1827C22—44no—
1828C22—44no—
1829C22—42no—
1830C22—44no—
1831C22—44no—
1832C22—42no—
1833C22—44no—
1834C22—42no—
1835C22—44no—
1836C22—42no—
1837C22—42no—
1838C22—42no—
1839C22—44no—
1840C22—44no—
1841C22—44no—
1842C22—42no—
1843C22—44no—
1844C22—44no—
1845C22—44no—
1846C22—1616no—
1847C22C22×H(5,𝔽2)11yescharacteristic
1848C22C22×H(5,𝔽2)11yescharacteristic
1849C22C22×H(5,𝔽2)11yescharacteristic
1850C22C22×H(5,𝔽2)11yescharacteristic
1851C22C2×#58511yescharacteristic
1852C22H(7,𝔽2)11yescharacteristic
1853C22H(7,𝔽2)11yescharacteristic
1854C4—22no—
1855C4—22no—
1856C4—22no—
1857C4—24no—
1858C4—22no—
1859C4—42no—
1860C4—42no—
1861C4—44no—
1862C4—42no—
1863C4—41no—
1864C4—42no—
1865C4—41no—
1866C4—42no—
1867C4—42no—
1868C4—42no—
1869C4—42no—
1870C4—41no—
1871C4—42no—
1872C4—42no—
1873C4—42no—
1874C4—41no—
1875C4—41no—
1876C4—42no—
1877C4—42no—
1878C4—41no—
1879C4—41no—
1880C4—41no—
1881C4#354314yes—
1882C4#354614yes—
1883C2—42no—
1884C2—82no—
1885C2—82no—
1886C2—84no—
1887C2—84no—
1888C2—84no—
1889C2C2×#354311yescharacteristic
1890C2C2×#354611yescharacteristic
1891C2#6287611yescharacteristic
1892C2#6291211yescharacteristic
1893C2#6291611yescharacteristic
1894C2#6295511yescharacteristic
1895C2#6295511yescharacteristic
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. #59124C2semidirect
2. #59124C2semidirect
3. #59064C2semidirect
4. #59051C2semidirect
5. #58296C2semidirect
6. #57189C2semidirect
7. #55163C2semidirect
8. #54180C2semidirect
9. #53090C2semidirect
10. #53090C2semidirect
11. #53088C2semidirect
12. #52969C2semidirect
13. #45038C2semidirect
14. #45002C2semidirect
15. #42969C2semidirect
16. #42566C2semidirect
17. #42518C2semidirect
18. #42483C2semidirect
19. #42435C2semidirect
20. #42425C2semidirect
21. #39771C2semidirect
22. #39745C2semidirect
23. #39745C2semidirect
24. #39386C2semidirect
25. #38987C2semidirect
26. #38956C2semidirect
27. #37748C2semidirect
28. #37681C2semidirect
29. #37618C2semidirect
30. #37290C2semidirect
31. #36128C2semidirect
32. #36125C2semidirect
33. #35274C2semidirect
34. #34913C2semidirect
35. #34619C2semidirect
36. C2×#559C22semidirect
40. C2×#550C22semidirect
41. C2×#547C22semidirect
44. C2×#540C22semidirect
48. C2×#532C22semidirect
49. C2×#532C22semidirect
55. #2856C22semidirect
56. #2850C22semidirect
57. #2828C22semidirect
58. #2826C22semidirect
59. #2825C22semidirect
60. #2825C22semidirect
61. #2815C22semidirect
62. #2815C22semidirect
63. #2815C22semidirect
64. #2815C22semidirect
65. #2815C22semidirect
66. #2815C22semidirect
67. #2813C22semidirect
69. #2796C22semidirect
70. #2786C22semidirect
71. #2778C22semidirect
72. #2778C22semidirect
73. #2756C22semidirect
74. #2753C22semidirect
75. #2751C22semidirect
76. #2749C22semidirect
77. #2740C22semidirect
79. #2708C22semidirect
80. #2708C22semidirect
81. #2706C22semidirect
82. #2703C22semidirect
83. #2703C22semidirect
84. #2703C22semidirect
85. #2703C22semidirect
86. #2699C22semidirect
87. #2693C22semidirect
88. #2688C22semidirect
89. #2688C22semidirect
90. #2688C22semidirect
91. #2688C22semidirect
92. #2688C22semidirect
93. #2688C22semidirect
94. #2686C22semidirect
96. #2675C22semidirect
97. #2675C22semidirect
98. #2675C22semidirect
102. #2673C22semidirect
103. #2673C22semidirect
104. #2673C22semidirect
105. #2673C22semidirect
106. #2673C22semidirect
107. #2673C22semidirect
108. #2671C22semidirect
109. #2671C22semidirect
119. #2657C22semidirect
120. #2657C22semidirect
121. #2656C22semidirect
122. #2654C22semidirect
124. #2650C22semidirect
126. #2647C22semidirect
127. #2645C22semidirect
128. #2644C22semidirect
129. #2644C22semidirect
130. #2640C22semidirect
131. #2640C22semidirect
132. #2635C22semidirect
133. #2631C22semidirect
134. #2631C22semidirect
140. #2619C22semidirect
141. #2619C22semidirect
143. #2615C22semidirect
144. #2615C22semidirect
145. #2592C22semidirect
146. #2580C22semidirect
148. #2577C22semidirect
150. #2575C22semidirect
151. #2568C22semidirect
154. #2548C22semidirect
155. #2547C22semidirect
156. #2547C22semidirect
157. #2546C22semidirect
158. #2545C22semidirect
159. #2544C22semidirect
160. #2544C22semidirect
161. #2543C22semidirect
171. #2541C22semidirect
172. #2541C22semidirect
173. #2541C22semidirect
174. #2541C22semidirect
175. #2541C22semidirect
176. #2541C22semidirect
177. #2541C22semidirect
178. #2535C22semidirect
179. #2535C22semidirect
180. #2514C22semidirect
181. #2513C22semidirect
182. #2513C22semidirect
183. #2508C22semidirect
184. #2504C22semidirect
187. #2464C22semidirect
188. #2464C22semidirect
189. #2456C22semidirect
190. #2456C22semidirect
191. #2456C22semidirect
192. #2454C22semidirect
193. #2454C22semidirect
194. #2448C22semidirect
195. #2448C22semidirect
196. #2447C22semidirect
197. #2447C22semidirect
198. #2447C22semidirect
199. #2447C22semidirect
200. #2447C22semidirect
201. #2447C22semidirect
204. #2445C22semidirect
205. #2445C22semidirect
206. #2444C22semidirect
214. #2432C22semidirect
217. #2431C22semidirect
218. #2431C22semidirect
219. #2431C22semidirect
220. #2431C22semidirect
221. #2431C22semidirect
222. #2431C22semidirect
223. #2431C22semidirect
224. #2431C22semidirect
225. #2431C22semidirect
226. #2431C22semidirect
227. #2430C22semidirect
230. #2428C22semidirect
231. #2428C22semidirect
232. #2428C22semidirect
233. #2428C22semidirect
234. #2428C22semidirect
235. #2428C22semidirect
236. #2428C22semidirect
237. #2428C22semidirect
238. #2428C22semidirect
239. #2428C22semidirect
240. #2428C22semidirect
241. #2428C22semidirect
244. #2427C22semidirect
245. #2427C22semidirect
246. #2426C22semidirect
251. #2419C22semidirect
261. #2401C22semidirect
262. #2401C22semidirect
264. #2396C22semidirect
269. #2366C22semidirect
270. #2366C22semidirect
271. #2365C22semidirect
272. #2361C22semidirect
273. #2361C22semidirect
274. #2361C22semidirect
275. #2349C22semidirect
279. #2328C22semidirect
280. #2328C22semidirect
281. #2326C22semidirect
282. #2319C22semidirect
283. #2311C22semidirect
284. C4×C4⋊Q8C22semidirect
285. C4×#125C22semidirect
286. C4×#124C22semidirect
287. C4×#124C22semidirect
292. #2295C22semidirect
293. #2295C22semidirect
294. #2293C22semidirect
296. #2283C22semidirect
297. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#591242
#590642
#590512
#582962
#571892
#551632
#541802
#530902
#530882
#529692
#450382
#450022
#429692
#425662
#425182
#424832
#424352
#424252
#397712
#397452
#393862
#389872
#389562
#377482
#376812
#376182
#372902
#361282
#361252
#352742
#349132
#346192