Finite Group Databasebeta

← #8094759

Subgroups — #8094759

Order 512.

5428 conjugacy classes of subgroups.

The subgroup lattice has 1843 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53126C212yesmaximal, complemented
2#53117C212yesmaximal, complemented
3#53071C212yesmaximal, complemented
4#53057C212yesmaximal, complemented
5#52995C212yesmaximal, complemented
6#52995C212yesmaximal, complemented
7#52976C212yesmaximal, complemented
8#52970C212yesmaximal, complemented
9#52312C214yesmaximal, complemented
10#52311C214yesmaximal, complemented
11#46074C212yesmaximal, complemented
12#46044C212yesmaximal, complemented
13#46044C212yesmaximal, complemented
14#45997C212yesmaximal, complemented
15#45726C214yesmaximal, complemented
16#45649C212yesmaximal, complemented
17#45602C212yesmaximal, complemented
18#45524C212yesmaximal, complemented
19#45486C212yesmaximal, complemented
20#45454C214yesmaximal, complemented
21#35575C211yesmaximal, characteristic, complemented
22#35541C211yesmaximal, characteristic, complemented
23#35533C211yesmaximal, characteristic, complemented
24#35531C211yesmaximal, characteristic, complemented
25#35529C211yesmaximal, characteristic, complemented
26#35528C211yesmaximal, characteristic, complemented
27#35272C211yesmaximal, characteristic, complemented
28#35264C211yesmaximal, characteristic, complemented
29#35264C211yesmaximal, characteristic, complemented
30#35257C211yesmaximal, characteristic, complemented
31#35174C211yesmaximal, characteristic, complemented
32#35165C211yesmaximal, characteristic, complemented
33#34948C211yesmaximal, characteristic, complemented
34#34744C211yesmaximal, characteristic, complemented
35C2×#2445C211yesmaximal, characteristic, complemented
36C2×#562C2214yescomplemented
37C2×#544C2211yescharacteristic
38C2×#544C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#535C2211yescharacteristic
41C2×#535C2211yescharacteristic
42C2×#535C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C22×#127C2211yescharacteristic
45C22×#123C2212yes—
46C2×#520C2211yescharacteristic
47C2×#518C2211yescharacteristic
48C2×C4×#41C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic
50#2861C2212yescomplemented
51#2861C2212yescomplemented
52#2858C2212yescomplemented
53#2858C2212yescomplemented
54#2857C2212yescomplemented
55#2856C2212yes—
56#2856C2212yes—
57#2851C2212yescomplemented
58#2848C2214yes—
59#2847C2214yes—
60#2837C2214yescomplemented
61#2832C2214yescomplemented
62#2830C2214yescomplemented
63#2829C2214yescomplemented
64#2829C2214yescomplemented
65#2829C2214yescomplemented
66#2829C2214yescomplemented
67#2827C2214yescomplemented
68#2826C2214yescomplemented
69#2826C2214yescomplemented
70#2824C2214yescomplemented
71#2824C2214yescomplemented
72#2819C2214yescomplemented
73#2816C2214yescomplemented
74#2816C2214yescomplemented
75#2814C2214yescomplemented
76#2813C2214yescomplemented
77#2813C2214yescomplemented
78#2813C2214yescomplemented
79#2813C2214yescomplemented
80#2800C2214yescomplemented
81#2786C2214yescomplemented
82#2781C2214yescomplemented
83#2751C2214yescomplemented
84#2750C2214yescomplemented
85#2741C2214yescomplemented
86#2740C2214yescomplemented
87#2730C2214yescomplemented
88#2730C2214yescomplemented
89#2711C2214yescomplemented
90#2711C2214yescomplemented
91#2710C2214yescomplemented
92#2710C2214yescomplemented
93#2708C2214yescomplemented
94#2708C2214yescomplemented
95#2706C2214yescomplemented
96#2706C2214yescomplemented
97#2701C2214yescomplemented
98#2701C2214yescomplemented
99#2696C2214yescomplemented
100#2696C2214yescomplemented
101#2694C2214yescomplemented
102#2692C2214yescomplemented
103#2687C2214yescomplemented
104#2686C2214yescomplemented
105#2686C2214yescomplemented
106#2682C2214yescomplemented
107#2682C2214yescomplemented
108#2681C2214yescomplemented
109#2681C2214yescomplemented
110#2676C2214yescomplemented
111#2676C2214yescomplemented
112#2676C2214yescomplemented
113#2676C2214yescomplemented
114#2672C2214yescomplemented
115#2672C2214yescomplemented
116#2671C2214yescomplemented
117#2671C2214yescomplemented
118#2671C2214yescomplemented
119#2671C2214yescomplemented
120#2641C2212yescomplemented
121#2641C2212yescomplemented
122#2640C2212yescomplemented
123#2640C2212yescomplemented
124#2629C2212yescomplemented
125#2628C2212yescomplemented
126#2626C2214yes—
127#2619C2212yes—
128#2619C2212yes—
129#2617C2214yes—
130#2571C2211yescharacteristic, complemented
131#2571C2211yescharacteristic, complemented
132#2570C2211yescharacteristic, complemented
133#2570C2211yescharacteristic, complemented
134#2570C2211yescharacteristic, complemented
135#2570C2211yescharacteristic, complemented
136#2569C2212yes—
137#2569C2212yes—
138#2566C2212yescomplemented
139#2566C2212yescomplemented
140#2564C2214yes—
141#2563C2212yescomplemented
142#2552C2211yescharacteristic, complemented
143#2552C2211yescharacteristic, complemented
144#2548C2212yes—
145#2548C2212yes—
146#2548C2212yescomplemented
147#2547C2212yescomplemented
148#2545C2212yescomplemented
149#2544C2212yes—
150#2544C2212yes—
151#2544C2212yescomplemented
152#2544C2212yescomplemented
153#2544C2212yescomplemented
154#2542C2212yescomplemented
155#2541C2212yes—
156#2541C2212yes—
157#2541C2212yes—
158#2541C2212yes—
159#2541C2212yescomplemented
160#2541C2212yescomplemented
161#2537C2212yescomplemented
162#2537C2212yescomplemented
163#2535C2212yescomplemented
164#2535C2212yescomplemented
165#2504C2212yescomplemented
166#2501C2212yescomplemented
167#2500C2212yescomplemented
168#2500C2212yescomplemented
169#2491C2212yescomplemented
170#2491C2212yescomplemented
171#2491C2212yescomplemented
172#2491C2212yescomplemented
173#2490C2212yescomplemented
174#2490C2212yescomplemented
175#2490C2212yescomplemented
176#2490C2212yescomplemented
177#2472C2214yes—
178#2472C2214yes—
179#2472C2214yes—
180#2472C2214yes—
181#2454C2212yescomplemented
182#2454C2212yescomplemented
183#2454C2212yescomplemented
184#2454C2212yescomplemented
185#2454C2212yescomplemented
186#2454C2212yescomplemented
187#2454C2212yescomplemented
188#2454C2212yescomplemented
189#2453C2212yescomplemented
190#2453C2212yescomplemented
191#2452C2212yescomplemented
192#2452C2212yescomplemented
193#2452C2212yescomplemented
194#2452C2212yescomplemented
195#2452C2212yescomplemented
196#2452C2212yescomplemented
197#2452C2212yescomplemented
198#2452C2212yescomplemented
199#2451C2212yescomplemented
200#2451C2212yescomplemented
201#2450C2214yes—
202#2449C2214yes—
203#2448C2211yescharacteristic, complemented
204#2448C2212yescomplemented
205#2448C2211yescharacteristic, complemented
206#2448C2212yescomplemented
207#2447C2211yescharacteristic, complemented
208#2447C2212yescomplemented
209#2447C2211yescharacteristic, complemented
210#2447C2212yescomplemented
211#2446C2211yescharacteristic, complemented
212#2446C2211yescharacteristic, complemented
213#2445C2212yes—
214#2445C2212yes—
215#2445C2212yes—
216#2445C2212yes—
217#2445C2212yes—
218#2445C2212yes—
219#2445C2212yes—
220#2445C2212yes—
221#2445C2212yescomplemented
222#2445C2212yescomplemented
223#2445C2211yescharacteristic, complemented
224#2445C2211yescharacteristic, complemented
225#2445C2212yescomplemented
226#2445C2212yescomplemented
227#2444C2212yes—
228#2444C2212yes—
229#2443C2212yes—
230#2443C2212yes—
231#2442C2212yes—
232#2442C2212yes—
233#2442C2212yescomplemented
234#2441C2212yescomplemented
235#2440C2212yescomplemented
236#2439C2212yescomplemented
237#2437C2214yes—
238#2437C2214yes—
239#2428C2212yes—
240#2428C2212yes—
241#2428C2212yes—
242#2428C2212yes—
243#2424C2214yes—
244#2424C2214yes—
245#2422C2212yescomplemented
246#2422C2212yescomplemented
247#2420C2212yescomplemented
248#2420C2212yescomplemented
249#2418C2214yes—
250#2418C2214yes—
251#2417C2214yes—
252#2416C2212yescomplemented
253#2416C2212yescomplemented
254#2414C2212yescomplemented
255#2414C2212yescomplemented
256#2412C2214yes—
257#2412C2214yes—
258#2410C2214yes—
259#2410C2214yes—
260#2408C2214yes—
261#2408C2214yes—
262#2402C2212yescomplemented
263#2402C2212yescomplemented
264#2395C2212yescomplemented
265#2395C2212yescomplemented
266C2×#394C2212yes—
267C2×#394C2212yes—
268#2377C2214yescomplemented
269#2377C2214yescomplemented
270#2376C2214yescomplemented
271#2317C2211yescharacteristic
272#2316C2211yescharacteristic
273#2311C2211yescharacteristic
274#2311C2211yescharacteristic
275#2311C2211yescharacteristic
276#2309C2211yescharacteristic
277#2309C2211yescharacteristic
278#2309C2211yescharacteristic
279C4×#125C2212yescomplemented
280C4×#125C2212yescomplemented
281C4×#123C2212yescomplemented
282C4×#123C2212yescomplemented
283#2297C2211yescharacteristic
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2296C2211yescharacteristic
287#2296C2211yescharacteristic
288#2296C2211yescharacteristic
289C2×#390C2211yescharacteristic
290C2×#390C2211yescharacteristic
291C2×#390C2211yescharacteristic
292C2×#389C2211yescharacteristic
293C2×#386C2212yes—
294#2285C2211yescharacteristic
295#2285C2211yescharacteristic
296#2285C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C23×D4C2311yescharacteristic
303C23×D4C2312yes—
304C23×D4C2312yes—
305C24×C4C2312yes—
306#562—416no—
307#544—44no—
308#544—44no—
309#535—44no—
310#535—44no—
311#535—44no—
312#535—44no—
313#532—44no—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×C4⋊Q8C2312yes—
318C2×C4⋊Q8C2311yescharacteristic
319C2×#127—44no—
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2311yescharacteristic
327C2×#127C2312yes—
328C2×#127C2312yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#125C2312yes—
333C2×#125C2312yes—
334C2×#125C2312yes—
335C2×#124C2314yes—
336C2×#124C2314yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2311yescharacteristic
340C2×#124C2311yescharacteristic
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2314yes—
344C2×#124C2314yes—
345C2×#123—48no—
346C2×#123C2314yes—
347C2×#123C2312yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2312yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2314yes—
362C2×C22⋊Q8C2314yes—
363C2×C22⋊Q8C2314yes—
364C2×#121C2314yes—
365C2×#121C2312yes—
366C2×#121C2314yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#120C2314yes—
387C2×#120C2314yes—
388C2×#120C2314yes—
389C2×#120C2314yes—
390#520—44no—
391#518—44no—
392C4×#41—44no—
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2312yes—
396C2×C4×D4—44no—
397C2×C4×D4C2312yes—
398C2×C4×D4C2314yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×#117C2311yescharacteristic
414C2×#117C2311yescharacteristic
415C2×#117C2311yescharacteristic
416C2×#117C2311yescharacteristic
417C2×#117C2311yescharacteristic
418C2×#117C2311yescharacteristic
419C2×#117C2312yes—
420C2×#117C2312yes—
421C22×C4⋊C4C2311yescharacteristic
422C22×C4⋊C4C2311yescharacteristic
423C22×C4⋊C4C2311yescharacteristic
424C22×C4⋊C4C2311yescharacteristic
425C22×C4⋊C4C2312yes—
426C22×C4⋊C4C2312yes—
427C22×C22⋊C4C2312yes—
428C22×C22⋊C4C2312yes—
429C22×C22⋊C4C2312yes—
430C22×C22⋊C4C2314yes—
431C22×C22⋊C4C2312yes—
432C22×C22⋊C4C2312yes—
433C22×C22⋊C4C2312yes—
434C22×C22⋊C4C2312yes—
435C22×C42C2311yescharacteristic
436C22×C42C2311yescharacteristic
437C22×C42C2311yescharacteristic
438C22×C42C2312yes—
439#400C2314yes—
440#400C2312yes—
441#400C2312yes—
442#400C2314yes—
443#400C2312yes—
444#400C2312yes—
445#400C2312yes—
446#400C2312yes—
447#400C2312yes—
448#400C2312yes—
449#400C2312yes—
450#400C2312yes—
451#399C2312yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#399C2314yes—
456#399C2314yes—
457#399C2314yes—
458#399C2314yes—
459#399C2312yes—
460#399C2314yes—
461#398C2312yes—
462#398C2312yes—
463#398C2314yes—
464#398C2314yes—
465#398C2312yes—
466#398C2312yes—
467#398C2312yes—
468#398C2312yes—
469#398C2312yes—
470#398C2312yes—
471#398C2314yes—
472#398C2314yes—
473#398C2312yes—
474#398C2312yes—
475#397C2312yes—
476#397C2312yes—
477#397C2314yes—
478#397C2314yes—
479#397C2312yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2312yes—
486#397C2312yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2312yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#395C2314yes—
508#395C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2312yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2312yes—
551#394C2312yes—
552#394C2312yes—
553#393C2314yes—
554#393C2314yes—
555#393C2314yes—
556#393C2314yes—
557#393C2314yes—
558#393C2314yes—
559#393C2314yes—
560#393C2314yes—
561#393C2314yes—
562#393C2314yes—
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#391C2312yes—
576#391C2312yes—
577#391C2312yes—
578#391C2314yes—
579#391C2314yes—
580#391C2311yescharacteristic
581#391C2311yescharacteristic
582#391C2311yescharacteristic
583#391C2311yescharacteristic
584#391C2311yescharacteristic
585#391C2311yescharacteristic
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2314yes—
604#390C2314yes—
605#390C2314yes—
606#390C2314yes—
607#390C2314yes—
608#390C2314yes—
609#390C2314yes—
610#390C2311yescharacteristic
611#390C2311yescharacteristic
612#390C2312yes—
613#390C2312yes—
614#390C2314yes—
615#390C2314yes—
616#390C2314yes—
617#390C2312yes—
618#390C2312yes—
619#390C2311yescharacteristic
620#390C2311yescharacteristic
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2311yescharacteristic
628#390C2311yescharacteristic
629#389C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2311yescharacteristic
634#389C2311yescharacteristic
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2311yescharacteristic
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2314yes—
649#389C2312yes—
650#389C2314yes—
651#389C2312yes—
652#389C2312yes—
653#389C2311yescharacteristic
654#389C2311yescharacteristic
655#389C2311yescharacteristic
656#389C2311yescharacteristic
657#388C2312yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2312yes—
672#388C2314yes—
673#388C2312yes—
674#388C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2312yes—
680#387C2312yes—
681#387C2312yes—
682#387C2312yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2312yes—
687#387C2314yes—
688#387C2312yes—
689#387C2312yes—
690#387C2312yes—
691#386C2312yes—
692#386C2314yes—
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#386C2312yes—
712#386C2312yes—
713#386C2312yes—
714#386C2312yes—
715#386C2314yes—
716#386C2312yes—
717#386C2312yes—
718#386C2312yes—
719#386C2314yes—
720#385C2314yes—
721#385C2314yes—
722#385C2314yes—
723#385C2314yes—
724#385C2314yes—
725#385C2314yes—
726#385C2314yes—
727#385C2312yes—
728#385C2312yes—
729#385C2312yes—
730#385C2312yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2312yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2312yes—
740#385C2314yes—
741#385C2312yes—
742#385C2312yes—
743#384C2311yescharacteristic
744#384C2312yes—
745#384C2311yescharacteristic
746#384C2311yescharacteristic
747#384C2311yescharacteristic
748#384C2311yescharacteristic
749#384C2311yescharacteristic
750#382C2312yes—
751#382C2312yes—
752#382C2311yescharacteristic
753#382C2312yes—
754#382C2311yescharacteristic
755#382C2311yescharacteristic
756#382C2311yescharacteristic
757#382C2311yescharacteristic
758#382C2311yescharacteristic
759#381C2312yes—
760#381C2314yes—
761#381C2312yes—
762#381C2314yes—
763#380C2314yes—
764#380C2314yes—
765#380C2312yes—
766#380C2314yes—
767#380C2312yes—
768#380C2312yes—
769#380C2312yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2314yes—
778#380C2314yes—
779#380C2314yes—
780#380C2314yes—
781#380C2314yes—
782#380C2312yes—
783#380C2314yes—
784#379C2314yes—
785#379C2314yes—
786#379C2314yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2312yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819#376C2312yes—
820C2×#95C2312yes—
821C2×#95C2311yescharacteristic
822C2×#95C2311yescharacteristic
823C43C2312yes—
824C25C2412yes—
825C25C2412yes—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2414yes—
835C22×Q8C2414yes—
836C22×D4—24no—
837C22×D4—24no—
838C22×D4—24no—
839C22×D4—24no—
840C22×D4—24no—
841C22×D4—24no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—82no—
847C22×D4—82no—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2411yescharacteristic
855C22×D4C2411yescharacteristic
856C22×D4C2412yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C23×C4—44no—
871C23×C4—44no—
872C23×C4—82no—
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2412yes—
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2414yes—
886C23×C4C2414yes—
887C23×C4C2414yes—
888C23×C4C2414yes—
889C23×C4C2414yes—
890C23×C4C2411yescharacteristic
891C4⋊Q8—44no—
892C4⋊Q8—44no—
893C4⋊Q8—44no—
894C4⋊Q8—44no—
895C4⋊Q8—42no—
896#127—44no—
897#127—44no—
898#127—44no—
899#127—44no—
900#127—42no—
901#127—44no—
902#127—44no—
903#127—44no—
904#127—44no—
905#125—28no—
906#125—44no—
907#125—44no—
908#125—44no—
909#125—44no—
910#125—44no—
911#124—48no—
912#124—48no—
913#124—42no—
914#124—42no—
915#124—44no—
916#124—44no—
917#124—44no—
918#124—44no—
919#124—84no—
920#124—84no—
921#123—216no—
922#123—28no—
923#123—48no—
924#123—48no—
925#123—48no—
926#123—48no—
927#123—44no—
928#123—48no—
929#123—84no—
930#123—84no—
931C22⋊Q8—48no—
932C22⋊Q8—48no—
933C22⋊Q8—48no—
934C22⋊Q8—48no—
935C22⋊Q8—48no—
936C22⋊Q8—48no—
937C22⋊Q8—84no—
938C22⋊Q8—84no—
939#121—48no—
940#121—48no—
941#121—48no—
942#121—48no—
943#121—44no—
944#121—44no—
945#121—44no—
946#121—44no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—48no—
952#121—48no—
953#121—44no—
954#121—44no—
955#121—84no—
956#121—84no—
957#121—84no—
958#121—84no—
959#121—84no—
960#121—84no—
961#120—48no—
962#120—48no—
963#120—48no—
964#120—48no—
965C4×Q8—42no—
966C4×Q8—42no—
967C4×Q8—44no—
968C4×D4—44no—
969C4×D4—44no—
970C4×D4—44no—
971C4×D4—44no—
972C4×D4—42no—
973C4×D4—42no—
974C4×D4—44no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—48no—
984#117—24no—
985#117—24no—
986#117—24no—
987#117—24no—
988#117—24no—
989#117—24no—
990#117—44no—
991#117—44no—
992C2×C4⋊C4—24no—
993C2×C4⋊C4—24no—
994C2×C4⋊C4—24no—
995C2×C4⋊C4—42no—
996C2×C4⋊C4—44no—
997C2×C4⋊C4—44no—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C22⋊C4—44no—
1064C2×C22⋊C4—44no—
1065C2×C22⋊C4—44no—
1066C2×C22⋊C4—48no—
1067C2×C22⋊C4—44no—
1068C2×C22⋊C4—82no—
1069C2×C22⋊C4—82no—
1070C2×C22⋊C4—82no—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C42—24no—
1139C2×C42—24no—
1140C2×C42—24no—
1141C2×C42—44no—
1142C2×C42C2412yes—
1143C2×C42C2411yescharacteristic
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2411yescharacteristic
1152C2×C42C2411yescharacteristic
1153C2×C42C2411yescharacteristic
1154C2×C42C2411yescharacteristic
1155C2×C42C2412yes—
1156C2×C42C2411yescharacteristic
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2414yes—
1162C2×C42C2412yes—
1163C2×C42C2412yes—
1164C2×C42C2412yes—
1165C2×C42C2412yes—
1166C2×C42C2412yes—
1167#95C2411yescharacteristic
1168#95C2411yescharacteristic
1169#95C2411yescharacteristic
1170#95C2411yescharacteristic
1171#95C2411yescharacteristic
1172#95C2411yescharacteristic
1173#95C2411yescharacteristic
1174#95C2411yescharacteristic
1175#95C2414yes—
1176#95C2414yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227C24—24no—
1228C24—24no—
1229C24—24no—
1230C24—24no—
1231C24—24no—
1232C24—24no—
1233C24—42no—
1234C24—42no—
1235C24—42no—
1236C24—42no—
1237C24—42no—
1238C24—42no—
1239C24—42no—
1240C24—42no—
1241C24C2514yes—
1242C24C2514yes—
1243C24C2512yes—
1244C24C2512yes—
1245C24C2511yescharacteristic
1246#41—416no—
1247#41—416no—
1248C2×Q8—22no—
1249C2×Q8—22no—
1250C2×Q8—22no—
1251C2×Q8—22no—
1252C2×Q8—22no—
1253C2×Q8—22no—
1254C2×Q8—44no—
1255C2×Q8—44no—
1256C2×Q8—44no—
1257C2×Q8—44no—
1258C2×Q8—44no—
1259C2×Q8—44no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—22no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—22no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—24no—
1279C2×D4—28no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—28no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—44no—
1292C2×D4—44no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—42no—
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—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—416no—
1327C2×D4—416no—
1328C2×D4—816no—
1329C2×D4—816no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—22no—
1335C22×C4—24no—
1336C22×C4—24no—
1337C22×C4—22no—
1338C22×C4—24no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—22no—
1348C22×C4—24no—
1349C22×C4—28no—
1350C22×C4—24no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—41no—
1355C22×C4—42no—
1356C22×C4—42no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—41no—
1360C22×C4—41no—
1361C22×C4—42no—
1362C22×C4—41no—
1363C22×C4—42no—
1364C22×C4—41no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—42no—
1368C22×C4—42no—
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—44no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—816no—
1382C22×C4H(5,𝔽2)14yes—
1383C22×C4H(5,𝔽2)14yes—
1384C22×C42−1+414yes—
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C22×C4C2511yescharacteristic
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2511yescharacteristic
1393C22×C4C2511yescharacteristic
1394C22×C4C2511yescharacteristic
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2512yes—
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2514yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2512yes—
1407C22×C4C2512yes—
1408C22×C4C2514yes—
1409C22×C4C2511yescharacteristic
1410C22×C4C2511yescharacteristic
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—28no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—41no—
1446C4⋊C4—41no—
1447C4⋊C4—44no—
1448C4⋊C4—44no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—42no—
1452C4⋊C4—42no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—44no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C4⋊C4—42no—
1476C4⋊C4—42no—
1477C4⋊C4—42no—
1478C4⋊C4—42no—
1479C4⋊C4H(5,𝔽2)14yes—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—24no—
1483C22⋊C4—24no—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—28no—
1487C22⋊C4—28no—
1488C22⋊C4—28no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
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—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—42no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C42—22no—
1548C42—22no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—22no—
1553C42—22no—
1554C42—22no—
1555C42—24no—
1556C42—24no—
1557C42—24no—
1558C42—24no—
1559C42—24no—
1560C42—24no—
1561C42—24no—
1562C42—22no—
1563C42—22no—
1564C42—22no—
1565C42—22no—
1566C42—42no—
1567C42—42no—
1568C42—44no—
1569C42—42no—
1570C42—42no—
1571C42—42no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—24no—
1577C23—22no—
1578C23—22no—
1579C23—24no—
1580C23—22no—
1581C23—24no—
1582C23—24no—
1583C23—22no—
1584C23—22no—
1585C23—24no—
1586C23—24no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—24no—
1591C23—24no—
1592C23—22no—
1593C23—24no—
1594C23—22no—
1595C23—24no—
1596C23—22no—
1597C23—24no—
1598C23—22no—
1599C23—22no—
1600C23—24no—
1601C23—24no—
1602C23—22no—
1603C23—24no—
1604C23—48no—
1605C23—48no—
1606C23—48no—
1607C23—48no—
1608C23—84no—
1609C23—84no—
1610C23—84no—
1611C23—84no—
1612C23—84no—
1613C23—84no—
1614C23—84no—
1615C23—84no—
1616C23—84no—
1617C23—84no—
1618C23C2×H(5,𝔽2)12yes—
1619C23C2×H(5,𝔽2)12yes—
1620C23C2×2−1+412yes—
1621C23C2611yescharacteristic
1622Q8—44no—
1623Q8—44no—
1624Q8—164no—
1625Q8—164no—
1626D4—48no—
1627D4—48no—
1628D4—48no—
1629D4—48no—
1630D4—48no—
1631D4—48no—
1632D4—44no—
1633D4—44no—
1634D4—84no—
1635D4—88no—
1636D4—88no—
1637D4—84no—
1638D4—88no—
1639D4—88no—
1640D4—164no—
1641D4—164no—
1642D4—164no—
1643D4—164no—
1644D4—164no—
1645D4—164no—
1646D4—164no—
1647D4—164no—
1648C2×C4—21no—
1649C2×C4—21no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—22no—
1667C2×C4—22no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—22no—
1677C2×C4—24no—
1678C2×C4—24no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—24no—
1682C2×C4—21no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—24no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—22no—
1714C2×C4—24no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—24no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—44no—
1729C2×C4—44no—
1730C2×C4—44no—
1731C2×C4—44no—
1732C2×C4—48no—
1733C2×C4—48no—
1734C2×C4—84no—
1735C2×C4—84no—
1736C2×C4—88no—
1737C2×C4—82no—
1738C2×C4—84no—
1739C2×C4—82no—
1740C2×C4—84no—
1741C2×C4—88no—
1742C2×C4—164no—
1743C2×C4—164no—
1744C2×C4—164no—
1745C2×C4#562116yescomplemented
1746C2×C4C2×H(5,𝔽2)12yes—
1747C2×C4C2×H(5,𝔽2)12yes—
1748C2×C4C2×H(5,𝔽2)12yes—
1749C2×C4C2×H(5,𝔽2)12yes—
1750C2×C4C2×H(5,𝔽2)12yes—
1751C2×C4C2×H(5,𝔽2)12yes—
1752C2×C4C2×H(5,𝔽2)12yes—
1753C2×C4C2×2−1+412yes—
1754C2×C4C2×2−1+412yes—
1755C2×C4#58512yes—
1756C22—22no—
1757C22—22no—
1758C22—22no—
1759C22—22no—
1760C22—22no—
1761C22—22no—
1762C22—42no—
1763C22—42no—
1764C22—44no—
1765C22—44no—
1766C22—42no—
1767C22—42no—
1768C22—44no—
1769C22—44no—
1770C22—44no—
1771C22—42no—
1772C22—44no—
1773C22—42no—
1774C22—42no—
1775C22—44no—
1776C22—42no—
1777C22—44no—
1778C22—42no—
1779C22—44no—
1780C22—44no—
1781C22—42no—
1782C22—42no—
1783C22—42no—
1784C22—44no—
1785C22—44no—
1786C22—44no—
1787C22—42no—
1788C22—42no—
1789C22—44no—
1790C22—816no—
1791C22—168no—
1792C22C2×#56214yes—
1793C22C22×H(5,𝔽2)11yescharacteristic
1794C22C22×H(5,𝔽2)11yescharacteristic
1795C22C22×H(5,𝔽2)11yescharacteristic
1796C22C22×2−1+411yescharacteristic
1797C22C2×#58511yescharacteristic
1798C22H(7,𝔽2)11yescharacteristic
1799C22H(7,𝔽2)11yescharacteristic
1800C4—22no—
1801C4—22no—
1802C4—22no—
1803C4—22no—
1804C4—41no—
1805C4—41no—
1806C4—41no—
1807C4—41no—
1808C4—41no—
1809C4—44no—
1810C4—42no—
1811C4—42no—
1812C4—44no—
1813C4—42no—
1814C4—42no—
1815C4—42no—
1816C4—42no—
1817C4—41no—
1818C4—41no—
1819C4—42no—
1820C4—41no—
1821C4—42no—
1822C4—42no—
1823C4—42no—
1824C4—42no—
1825C4—42no—
1826C4—42no—
1827C4—42no—
1828C4C2×#56214yes—
1829C4C2×#56214yes—
1830C2—24no—
1831C2—82no—
1832C2—82no—
1833C2—84no—
1834C2—84no—
1835C2C22×#56211yescharacteristic
1836C2#6283511yescharacteristic
1837C2#6288111yescharacteristic
1838C2#6291211yescharacteristic
1839C2#6291611yescharacteristic
1840C2#6292411yescharacteristic
1841C2#6296111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #53126C2semidirect
2. #53117C2semidirect
3. #53071C2semidirect
4. #53057C2semidirect
5. #52995C2semidirect
6. #52995C2semidirect
7. #52976C2semidirect
8. #52970C2semidirect
9. #52312C2semidirect
10. #52311C2semidirect
11. #46074C2semidirect
12. #46044C2semidirect
13. #46044C2semidirect
14. #45997C2semidirect
15. #45726C2semidirect
16. #45649C2semidirect
17. #45602C2semidirect
18. #45524C2semidirect
19. #45486C2semidirect
20. #45454C2semidirect
21. #35575C2semidirect
22. #35541C2semidirect
23. #35533C2semidirect
24. #35531C2semidirect
25. #35529C2semidirect
26. #35528C2semidirect
27. #35272C2semidirect
28. #35264C2semidirect
29. #35264C2semidirect
30. #35257C2semidirect
31. #35174C2semidirect
32. #35165C2semidirect
33. #34948C2semidirect
34. #34744C2semidirect
35. C2×#2445C2semidirect
36. C2×#562C22semidirect
50. #2861C22semidirect
51. #2861C22semidirect
52. #2858C22semidirect
53. #2858C22semidirect
54. #2857C22semidirect
57. #2851C22semidirect
60. #2837C22semidirect
61. #2832C22semidirect
62. #2830C22semidirect
63. #2829C22semidirect
64. #2829C22semidirect
65. #2829C22semidirect
66. #2829C22semidirect
67. #2827C22semidirect
68. #2826C22semidirect
69. #2826C22semidirect
70. #2824C22semidirect
71. #2824C22semidirect
72. #2819C22semidirect
73. #2816C22semidirect
74. #2816C22semidirect
75. #2814C22semidirect
76. #2813C22semidirect
77. #2813C22semidirect
78. #2813C22semidirect
79. #2813C22semidirect
80. #2800C22semidirect
81. #2786C22semidirect
82. #2781C22semidirect
83. #2751C22semidirect
84. #2750C22semidirect
85. #2741C22semidirect
86. #2740C22semidirect
87. #2730C22semidirect
88. #2730C22semidirect
89. #2711C22semidirect
90. #2711C22semidirect
91. #2710C22semidirect
92. #2710C22semidirect
93. #2708C22semidirect
94. #2708C22semidirect
95. #2706C22semidirect
96. #2706C22semidirect
97. #2701C22semidirect
98. #2701C22semidirect
99. #2696C22semidirect
100. #2696C22semidirect
101. #2694C22semidirect
102. #2692C22semidirect
103. #2687C22semidirect
104. #2686C22semidirect
105. #2686C22semidirect
106. #2682C22semidirect
107. #2682C22semidirect
108. #2681C22semidirect
109. #2681C22semidirect
110. #2676C22semidirect
111. #2676C22semidirect
112. #2676C22semidirect
113. #2676C22semidirect
114. #2672C22semidirect
115. #2672C22semidirect
116. #2671C22semidirect
117. #2671C22semidirect
118. #2671C22semidirect
119. #2671C22semidirect
120. #2641C22semidirect
121. #2641C22semidirect
122. #2640C22semidirect
123. #2640C22semidirect
124. #2629C22semidirect
125. #2628C22semidirect
130. #2571C22semidirect
131. #2571C22semidirect
132. #2570C22semidirect
133. #2570C22semidirect
134. #2570C22semidirect
135. #2570C22semidirect
138. #2566C22semidirect
139. #2566C22semidirect
141. #2563C22semidirect
142. #2552C22semidirect
143. #2552C22semidirect
146. #2548C22semidirect
147. #2547C22semidirect
148. #2545C22semidirect
151. #2544C22semidirect
152. #2544C22semidirect
153. #2544C22semidirect
154. #2542C22semidirect
159. #2541C22semidirect
160. #2541C22semidirect
161. #2537C22semidirect
162. #2537C22semidirect
163. #2535C22semidirect
164. #2535C22semidirect
165. #2504C22semidirect
166. #2501C22semidirect
167. #2500C22semidirect
168. #2500C22semidirect
169. #2491C22semidirect
170. #2491C22semidirect
171. #2491C22semidirect
172. #2491C22semidirect
173. #2490C22semidirect
174. #2490C22semidirect
175. #2490C22semidirect
176. #2490C22semidirect
181. #2454C22semidirect
182. #2454C22semidirect
183. #2454C22semidirect
184. #2454C22semidirect
185. #2454C22semidirect
186. #2454C22semidirect
187. #2454C22semidirect
188. #2454C22semidirect
189. #2453C22semidirect
190. #2453C22semidirect
191. #2452C22semidirect
192. #2452C22semidirect
193. #2452C22semidirect
194. #2452C22semidirect
195. #2452C22semidirect
196. #2452C22semidirect
197. #2452C22semidirect
198. #2452C22semidirect
199. #2451C22semidirect
200. #2451C22semidirect
203. #2448C22semidirect
204. #2448C22semidirect
205. #2448C22semidirect
206. #2448C22semidirect
207. #2447C22semidirect
208. #2447C22semidirect
209. #2447C22semidirect
210. #2447C22semidirect
211. #2446C22semidirect
212. #2446C22semidirect
221. #2445C22semidirect
222. #2445C22semidirect
223. #2445C22semidirect
224. #2445C22semidirect
225. #2445C22semidirect
226. #2445C22semidirect
233. #2442C22semidirect
234. #2441C22semidirect
235. #2440C22semidirect
236. #2439C22semidirect
245. #2422C22semidirect
246. #2422C22semidirect
247. #2420C22semidirect
248. #2420C22semidirect
252. #2416C22semidirect
253. #2416C22semidirect
254. #2414C22semidirect
255. #2414C22semidirect
262. #2402C22semidirect
263. #2402C22semidirect
264. #2395C22semidirect
265. #2395C22semidirect
268. #2377C22semidirect
269. #2377C22semidirect
270. #2376C22semidirect
279. C4×#125C22semidirect
280. C4×#125C22semidirect
281. C4×#123C22semidirect
282. C4×#123C22semidirect
1745. C2×C4#562semidirect

Maximal subgroups

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

subgroupindex
#531262
#531172
#530712
#530572
#529952
#529762
#529702
#523122
#523112
#460742
#460442
#459972
#457262
#456492
#456022
#455242
#454862
#454542
#355752
#355412
#355332
#355312
#355292
#355282
#352722
#352642
#352572
#351742
#351652
#349482
#347442
C2×#24452