Finite Group Databasebeta

← #8429261

Subgroups — #8429261

Order 512.

5440 conjugacy classes of subgroups.

The subgroup lattice has 1848 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59822C211yesmaximal, characteristic, complemented
2#59568C212yesmaximal, complemented
3#59488C212yesmaximal, complemented
4#59124C211yesmaximal, characteristic, complemented
5#59057C211yesmaximal, characteristic, complemented
6#57418C214yesmaximal, complemented
7#53969C214yesmaximal, complemented
8#53116C212yesmaximal, complemented
9#53103C212yesmaximal, complemented
10#53090C212yesmaximal, complemented
11#53060C212yesmaximal, complemented
12#52337C214yesmaximal, complemented
13#42971C212yesmaximal, complemented
14#42677C212yesmaximal, complemented
15#42588C212yesmaximal, complemented
16#42581C212yesmaximal, complemented
17#40498C214yesmaximal, complemented
18#39810C212yesmaximal, complemented
19#39408C212yesmaximal, complemented
20#39405C212yesmaximal, complemented
21#39169C211yesmaximal, characteristic, complemented
22#39158C211yesmaximal, characteristic, complemented
23#39052C212yesmaximal, complemented
24#38985C211yesmaximal, characteristic, complemented
25#38921C211yesmaximal, characteristic, complemented
26#37629C211yesmaximal, characteristic, complemented
27#37625C212yesmaximal, complemented
28#37614C211yesmaximal, characteristic, complemented
29#37501C212yesmaximal, complemented
30#36410C211yesmaximal, characteristic, complemented
31#36273C211yesmaximal, characteristic, complemented
32#36121C211yesmaximal, characteristic, complemented
33#34977C211yesmaximal, characteristic, complemented
34#34803C211yesmaximal, characteristic, complemented
35#34727C211yesmaximal, characteristic, complemented
36C2×#555C2212yescomplemented
37C2×#555C2212yescomplemented
38C2×#554C2211yescharacteristic, complemented
39C2×#550C2211yescharacteristic
40C2×#546C2212yes—
41C2×#546C2212yes—
42C2×#538C2214yes—
43C2×#532C2211yescharacteristic
44C22×#127C2211yescharacteristic
45C2×#529C2211yescharacteristic
46C2×C4×#41C2211yescharacteristic, complemented
47#2858C2211yescharacteristic
48#2858C2212yescomplemented
49#2857C2211yescharacteristic
50#2856C2211yescharacteristic
51#2854C2212yescomplemented
52#2830C2214yescomplemented
53#2829C2214yescomplemented
54#2829C2214yescomplemented
55#2829C2214yescomplemented
56#2828C2214yescomplemented
57#2825C2214yescomplemented
58#2825C2214yescomplemented
59#2824C2214yescomplemented
60#2819C2214yescomplemented
61#2818C2214yes—
62#2815C2214yescomplemented
63#2815C2214yescomplemented
64#2815C2214yescomplemented
65#2812C2214yes—
66#2797C2214yescomplemented
67#2795C2214yescomplemented
68#2778C2214yescomplemented
69#2759C2214yescomplemented
70#2753C2214yescomplemented
71#2752C2214yescomplemented
72#2746C2214yescomplemented
73#2735C2214yes—
74#2733C2214yescomplemented
75#2730C2214yescomplemented
76#2715C2214yescomplemented
77#2714C2214yescomplemented
78#2712C2214yescomplemented
79#2710C2214yescomplemented
80#2710C2214yescomplemented
81#2702C2214yescomplemented
82#2700C2214yes—
83#2700C2214yescomplemented
84#2698C2214yescomplemented
85#2697C2214yes—
86#2691C2214yescomplemented
87#2688C2214yescomplemented
88#2688C2214yescomplemented
89#2688C2214yescomplemented
90#2684C2214yes—
91#2684C2214yes—
92#2680C2214yes—
93#2678C2214yes—
94#2678C2214yes—
95#2676C2214yescomplemented
96#2676C2214yescomplemented
97#2676C2214yescomplemented
98#2676C2214yescomplemented
99#2675C2214yescomplemented
100#2673C2214yes—
101#2670C2214yes—
102#2670C2214yes—
103#2657C2212yes—
104#2653C2214yescomplemented
105#2648C2214yescomplemented
106#2644C2212yescomplemented
107#2644C2212yescomplemented
108#2644C2212yescomplemented
109#2644C2212yescomplemented
110#2641C2212yes—
111#2641C2212yescomplemented
112#2640C2212yescomplemented
113#2640C2212yescomplemented
114#2638C2214yescomplemented
115#2631C2214yescomplemented
116#2630C2214yescomplemented
117#2630C2214yescomplemented
118#2625C2212yescomplemented
119#2624C2214yescomplemented
120#2620C2214yescomplemented
121#2620C2214yescomplemented
122#2619C2212yes—
123#2619C2212yes—
124#2617C2214yes—
125#2613C2214yes—
126#2610C2214yescomplemented
127#2610C2214yescomplemented
128#2609C2214yescomplemented
129#2602C2214yescomplemented
130#2592C2212yescomplemented
131#2582C2211yescharacteristic, complemented
132#2578C2214yescomplemented
133#2576C2214yescomplemented
134#2567C2211yescharacteristic, complemented
135#2566C2212yescomplemented
136#2563C2211yescharacteristic, complemented
137#2557C2214yescomplemented
138#2557C2214yescomplemented
139#2555C2214yescomplemented
140#2552C2212yescomplemented
141#2551C2211yescharacteristic, complemented
142#2548C2211yescharacteristic
143#2548C2211yescharacteristic
144#2548C2211yescharacteristic
145#2548C2212yescomplemented
146#2548C2212yescomplemented
147#2547C2212yes—
148#2544C2212yes—
149#2541C2211yescharacteristic
150#2541C2212yes—
151#2541C2211yescharacteristic
152#2541C2211yescharacteristic
153#2541C2212yescomplemented
154#2541C2212yescomplemented
155#2540C2212yescomplemented
156#2538C2212yescomplemented
157#2537C2212yescomplemented
158#2533C2212yescomplemented
159#2527C2212yes—
160#2523C2212yescomplemented
161#2514C2211yescharacteristic, complemented
162#2512C2212yescomplemented
163#2512C2212yescomplemented
164#2509C2211yescharacteristic, complemented
165#2500C2212yescomplemented
166#2499C2211yescharacteristic, complemented
167#2496C2211yescharacteristic
168#2494C2212yes—
169#2494C2212yescomplemented
170#2492C2211yescharacteristic
171#2491C2212yes—
172#2491C2212yescomplemented
173#2491C2212yescomplemented
174#2490C2212yescomplemented
175#2489C2212yes—
176#2486C2212yes—
177#2485C2211yescharacteristic
178#2485C2212yes—
179#2482C2214yes—
180#2480C2214yes—
181#2479C2212yescomplemented
182#2476C2214yescomplemented
183#2472C2214yes—
184#2471C2212yes—
185#2470C2214yescomplemented
186#2467C2212yescomplemented
187#2466C2212yes—
188#2464C2214yescomplemented
189#2459C2214yescomplemented
190#2456C2212yes—
191#2456C2214yescomplemented
192#2454C2212yescomplemented
193#2454C2211yescharacteristic, complemented
194#2452C2212yescomplemented
195#2452C2212yescomplemented
196#2452C2212yescomplemented
197#2448C2211yescharacteristic, complemented
198#2447C2212yescomplemented
199#2447C2212yescomplemented
200#2447C2212yescomplemented
201#2447C2212yescomplemented
202#2445C2212yes—
203#2445C2212yes—
204#2445C2212yes—
205#2445C2212yescomplemented
206#2441C2211yescharacteristic, complemented
207#2439C2212yescomplemented
208#2439C2211yescharacteristic, complemented
209#2435C2212yes—
210#2435C2212yes—
211#2433C2212yes—
212#2433C2212yes—
213#2431C2212yes—
214#2431C2212yes—
215#2431C2212yescomplemented
216#2431C2211yescharacteristic, complemented
217#2431C2212yescomplemented
218#2428C2212yes—
219#2428C2212yes—
220#2428C2212yes—
221#2428C2211yescharacteristic
222#2428C2212yescomplemented
223#2428C2212yescomplemented
224#2427C2214yescomplemented
225#2427C2212yescomplemented
226#2424C2214yes—
227#2423C2211yescharacteristic
228#2422C2212yes—
229#2422C2214yescomplemented
230#2416C2212yescomplemented
231#2416C2212yescomplemented
232#2416C2212yescomplemented
233#2415C2212yes—
234#2415C2211yescharacteristic
235#2414C2211yescharacteristic
236#2414C2214yescomplemented
237#2414C2212yescomplemented
238#2414C2212yescomplemented
239#2414C2212yescomplemented
240#2414C2212yescomplemented
241#2414C2212yescomplemented
242#2414C2212yescomplemented
243#2410C2214yes—
244#2408C2212yes—
245#2408C2212yes—
246#2408C2212yes—
247#2408C2212yes—
248#2408C2212yes—
249#2407C2211yescharacteristic
250#2407C2212yescomplemented
251#2407C2212yescomplemented
252#2407C2214yescomplemented
253#2407C2212yescomplemented
254#2401C2212yescomplemented
255#2398C2212yes—
256#2397C2212yes—
257#2392C2212yescomplemented
258#2388C2214yescomplemented
259#2369C2211yescharacteristic, complemented
260#2367C2212yescomplemented
261#2366C2211yescharacteristic
262#2366C2212yescomplemented
263#2363C2212yescomplemented
264#2363C2212yescomplemented
265#2361C2212yescomplemented
266#2354C2211yescharacteristic, complemented
267#2354C2211yescharacteristic, complemented
268#2354C2212yescomplemented
269#2342C2214yes—
270D4×C22⋊C4C2212yes—
271D4×C22⋊C4C2212yes—
272D4×C22⋊C4C2212yes—
273#2331C2212yescomplemented
274#2328C2212yescomplemented
275#2319C2212yescomplemented
276#2317C2212yescomplemented
277C4×C4⋊Q8C2211yescharacteristic, complemented
278C4×#127C2211yescharacteristic
279C4×#127C2211yescharacteristic, complemented
280C4×#127C2212yescomplemented
281C4×#126C2212yes—
282C4×#124C2212yescomplemented
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2211yescharacteristic, complemented
285C4×#121C2212yes—
286C4×#121C2211yescharacteristic
287C4×#121C2212yescomplemented
288C4×#121C2212yescomplemented
289C4×#121C2211yescharacteristic, complemented
290#2297C2212yescomplemented
291#2295C2211yescharacteristic, complemented
292#2295C2211yescharacteristic, complemented
293#2295C2212yescomplemented
294#2293C2212yescomplemented
295#2290C2212yescomplemented
296#2283C2211yescharacteristic
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305#555—48no—
306#555—48no—
307#554—44no—
308#550—44no—
309#546—48no—
310#546—48no—
311#538—416no—
312#532—44no—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2312yes—
317C2×#127—44no—
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#127C2311yescharacteristic
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2312yes—
328#529—44no—
329C2×#126C2312yes—
330C2×#126C2312yes—
331C2×#126C2314yes—
332C2×#125C2312yes—
333C2×#125C2311yescharacteristic
334C2×#124C2314yes—
335C2×#124C2314yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2314yes—
339C2×#124C2314yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2312yes—
343C2×#124C2311yescharacteristic
344C2×#124C2314yes—
345C2×#124C2314yes—
346C2×#124C2312yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2312yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2311yescharacteristic
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2314yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2314yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2311yescharacteristic
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2311yescharacteristic
379C2×#121C2311yescharacteristic
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#120C2314yes—
387C2×#120C2314yes—
388C2×#120C2314yes—
389C2×#120C2314yes—
390C2×#120C2314yes—
391C4×#41—44no—
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2311yescharacteristic
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2312yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2314yes—
421C2×#117C2312yes—
422C2×#117C2311yescharacteristic
423C2×#117C2312yes—
424C2×#117C2314yes—
425C2×#117C2314yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2311yescharacteristic
429C2×#117C2311yescharacteristic
430C22×C4⋊C4C2312yes—
431C22×C22⋊C4C2314yes—
432C22×C22⋊C4C2314yes—
433C22×C42C2311yescharacteristic
434C22×C42C2311yescharacteristic
435C22×C42C2312yes—
436#401C2312yes—
437#401C2314yes—
438#400C2312yes—
439#400C2314yes—
440#400C2312yes—
441#400C2312yes—
442#400C2312yes—
443#400C2312yes—
444#399C2312yes—
445#399C2312yes—
446#399C2314yes—
447#399C2312yes—
448#399C2312yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2312yes—
453#397C2314yes—
454#397C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2312yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2312yes—
473#397C2312yes—
474#397C2312yes—
475#397C2312yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#396C2314yes—
480#396C2314yes—
481#396C2314yes—
482#396C2314yes—
483#396C2312yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2312yes—
489#396C2312yes—
490#396C2314yes—
491#395C2314yes—
492#395C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2312yes—
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#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2312yes—
526#394C2314yes—
527#394C2314yes—
528#394C2312yes—
529#394C2312yes—
530#394C2314yes—
531#393C2314yes—
532#393C2312yes—
533#393C2314yes—
534#393C2314yes—
535#393C2314yes—
536#393C2314yes—
537#393C2314yes—
538#393C2314yes—
539#393C2312yes—
540#392C2314yes—
541#392C2314yes—
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#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2312yes—
564#392C2312yes—
565#392C2312yes—
566#392C2312yes—
567#392C2312yes—
568#392C2314yes—
569#392C2314yes—
570#391C2312yes—
571#391C2312yes—
572#391C2312yes—
573#391C2312yes—
574#391C2314yes—
575#391C2314yes—
576#391C2311yescharacteristic
577#391C2312yes—
578#391C2312yes—
579#391C2314yes—
580#391C2311yescharacteristic
581#391C2311yescharacteristic
582#391C2311yescharacteristic
583#391C2311yescharacteristic
584#391C2311yescharacteristic
585#391C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2314yes—
591#390C2311yescharacteristic
592#390C2314yes—
593#390C2312yes—
594#390C2311yescharacteristic
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2314yes—
600#390C2314yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2314yes—
612#390C2311yescharacteristic
613#390C2312yes—
614#390C2314yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2314yes—
625#390C2314yes—
626#390C2311yescharacteristic
627#390C2314yes—
628#390C2312yes—
629#389C2311yescharacteristic
630#389C2311yescharacteristic
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2311yescharacteristic
635#389C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2311yescharacteristic
639#389C2312yes—
640#389C2311yescharacteristic
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2314yes—
645#389C2312yes—
646#389C2312yes—
647#389C2311yescharacteristic
648#389C2311yescharacteristic
649#389C2312yes—
650#389C2311yescharacteristic
651#389C2311yescharacteristic
652#389C2311yescharacteristic
653#389C2312yes—
654#388C2312yes—
655#388C2312yes—
656#388C2312yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2312yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2312yes—
682#388C2312yes—
683#388C2312yes—
684#387C2312yes—
685#387C2312yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#387C2314yes—
690#387C2312yes—
691#387C2312yes—
692#387C2312yes—
693#387C2314yes—
694#387C2314yes—
695#387C2312yes—
696#387C2312yes—
697#387C2312yes—
698#387C2312yes—
699#387C2312yes—
700#387C2312yes—
701#387C2312yes—
702#386C2314yes—
703#386C2314yes—
704#386C2312yes—
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#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2312yes—
725#386C2314yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#385C2314yes—
731#385C2314yes—
732#385C2312yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2312yes—
740#385C2314yes—
741#385C2312yes—
742#385C2312yes—
743#384C2311yescharacteristic
744#384C2311yescharacteristic
745#384C2312yes—
746#384C2311yescharacteristic
747#384C2314yes—
748#383C2312yes—
749#383C2312yes—
750#382C2312yes—
751#382C2314yes—
752#382C2311yescharacteristic
753#382C2311yescharacteristic
754#381C2314yes—
755#381C2314yes—
756#381C2312yes—
757#381C2314yes—
758#380C2312yes—
759#380C2312yes—
760#380C2314yes—
761#380C2314yes—
762#380C2311yescharacteristic
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2312yes—
767#380C2314yes—
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2311yescharacteristic
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#379C2314yes—
775#379C2314yes—
776#379C2314yes—
777#379C2314yes—
778#379C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2312yes—
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⋊C4C2311yescharacteristic
797C4×C22⋊C4C2311yescharacteristic
798C4×C22⋊C4C2312yes—
799C4×C22⋊C4C2312yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815#376C2312yes—
816#376C2312yes—
817#376C2312yes—
818#376C2312yes—
819C43C2312yes—
820C43C2311yescharacteristic
821C25C2414yes—
822C2×#41—44no—
823C2×#41—42no—
824C2×#41—42no—
825C2×#41—42no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—82no—
831C22×Q8C2411yescharacteristic
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×Q8C2414yes—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—82no—
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2411yescharacteristic
881C23×C4C2414yes—
882C23×C4C2414yes—
883C23×C4C2414yes—
884C23×C4C2412yes—
885C23×C4C2414yes—
886C23×C4C2414yes—
887C23×C4C2412yes—
888C4⋊Q8—24no—
889C4⋊Q8—24no—
890C4⋊Q8—44no—
891C4⋊Q8—44no—
892#127—24no—
893#127—24no—
894#127—44no—
895#127—44no—
896#127—44no—
897#127—42no—
898#127—44no—
899#127—44no—
900#127—44no—
901#127—44no—
902#126—28no—
903#126—44no—
904#126—48no—
905#125—42no—
906#125—44no—
907#124—48no—
908#124—44no—
909#124—48no—
910#124—48no—
911#124—44no—
912#124—44no—
913#124—42no—
914#124—44no—
915#124—44no—
916#124—48no—
917#124—48no—
918#124—48no—
919#124—82no—
920#123—48no—
921#123—48no—
922#123—44no—
923#123—48no—
924#123—48no—
925C22⋊Q8—24no—
926C22⋊Q8—44no—
927C22⋊Q8—48no—
928C22⋊Q8—48no—
929C22⋊Q8—42no—
930C22⋊Q8—42no—
931C22⋊Q8—44no—
932C22⋊Q8—84no—
933#121—28no—
934#121—28no—
935#121—48no—
936#121—44no—
937#121—48no—
938#121—48no—
939#121—48no—
940#121—48no—
941#121—44no—
942#121—44no—
943#121—42no—
944#121—44no—
945#121—44no—
946#121—42no—
947#121—42no—
948#121—44no—
949#121—44no—
950#121—48no—
951#121—48no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—44no—
956#121—84no—
957#121—84no—
958#121—84no—
959#120—48no—
960#120—48no—
961#120—48no—
962#120—48no—
963#120—84no—
964C4×Q8—24no—
965C4×Q8—24no—
966C4×Q8—44no—
967C4×Q8—42no—
968C4×D4—28no—
969C4×D4—24no—
970C4×D4—24no—
971C4×D4—24no—
972C4×D4—44no—
973C4×D4—44no—
974C4×D4—42no—
975C4×D4—44no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—42no—
981C4×D4—44no—
982C4×D4—42no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—48no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—48no—
992C4×D4—84no—
993#117—28no—
994#117—24no—
995#117—44no—
996#117—48no—
997#117—44no—
998#117—48no—
999#117—42no—
1000#117—42no—
1001#117—44no—
1002C2×C4⋊C4—44no—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C22⋊C4—216no—
1056C2×C22⋊C4—48no—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2411yescharacteristic
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2411yescharacteristic
1133C2×C42—24no—
1134C2×C42—24no—
1135C2×C42—44no—
1136C2×C42C2412yes—
1137C2×C42C2414yes—
1138C2×C42C2411yescharacteristic
1139C2×C42C2411yescharacteristic
1140C2×C42C2412yes—
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2412yes—
1145C2×C42C2411yescharacteristic
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2411yescharacteristic
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2411yescharacteristic
1154C2×C42C2412yes—
1155C2×C42C2411yescharacteristic
1156C2×C42C2414yes—
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2414yes—
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2412yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2411yescharacteristic
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2411yescharacteristic
1187#95C2411yescharacteristic
1188#95C2411yescharacteristic
1189#95C2414yes—
1190#95C2414yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222C24—28no—
1223C24—44no—
1224C24—44no—
1225C24—44no—
1226C24—44no—
1227C24—44no—
1228C24—44no—
1229C24C2514yes—
1230C24C2514yes—
1231C24C2512yes—
1232C24C2511yescharacteristic
1233C24C2512yes—
1234C24C2511yescharacteristic
1235#41—416no—
1236#41—816no—
1237#41—816no—
1238C2×Q8—22no—
1239C2×Q8—22no—
1240C2×Q8—22no—
1241C2×Q8—24no—
1242C2×Q8—24no—
1243C2×Q8—22no—
1244C2×Q8—22no—
1245C2×Q8—22no—
1246C2×Q8—42no—
1247C2×Q8—42no—
1248C2×Q8—42no—
1249C2×Q8—42no—
1250C2×Q8—44no—
1251C2×Q8—44no—
1252C2×Q8—44no—
1253C2×D4—22no—
1254C2×D4—24no—
1255C2×D4—24no—
1256C2×D4—22no—
1257C2×D4—22no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—24no—
1265C2×D4—28no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—24no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—22no—
1272C2×D4—24no—
1273C2×D4—22no—
1274C2×D4—24no—
1275C2×D4—22no—
1276C2×D4—24no—
1277C2×D4—22no—
1278C2×D4—42no—
1279C2×D4—42no—
1280C2×D4—41no—
1281C2×D4—41no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—44no—
1287C2×D4—44no—
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—42no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—42no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—42no—
1315C2×D4—42no—
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—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—44no—
1337C2×D4—816no—
1338C2×D4—816no—
1339C2×D4—816no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—24no—
1350C22×C4—22no—
1351C22×C4—24no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—22no—
1355C22×C4—24no—
1356C22×C4—22no—
1357C22×C4—24no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—28no—
1363C22×C4—28no—
1364C22×C4—28no—
1365C22×C4—24no—
1366C22×C4—42no—
1367C22×C4—41no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—41no—
1371C22×C4—42no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—44no—
1378C22×C4—42no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4C2511yescharacteristic
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2511yescharacteristic
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2512yes—
1394C22×C4C2512yes—
1395C22×C4C2512yes—
1396C22×C4C2511yescharacteristic
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2512yes—
1402C22×C4C2514yes—
1403C22×C4C2514yes—
1404C22×C4C2512yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2512yes—
1407C22×C4C2512yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C4⋊C4—22no—
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—22no—
1418C4⋊C4—24no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—22no—
1424C4⋊C4—22no—
1425C4⋊C4—24no—
1426C4⋊C4—24no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—24no—
1432C4⋊C4—22no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—24no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—44no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—42no—
1442C4⋊C4—44no—
1443C4⋊C4—42no—
1444C4⋊C4—42no—
1445C4⋊C4—41no—
1446C4⋊C4—42no—
1447C4⋊C4—41no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—44no—
1451C4⋊C4—42no—
1452C4⋊C4—44no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—44no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—44no—
1460C4⋊C4—42no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—42no—
1464C4⋊C4—44no—
1465C4⋊C4H(5,𝔽2)14yes—
1466C22⋊C4—28no—
1467C22⋊C4—24no—
1468C22⋊C4—24no—
1469C22⋊C4—28no—
1470C22⋊C4—28no—
1471C22⋊C4—24no—
1472C22⋊C4—28no—
1473C22⋊C4—28no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—28no—
1477C22⋊C4—22no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—42no—
1481C22⋊C4—44no—
1482C22⋊C4—42no—
1483C22⋊C4—42no—
1484C22⋊C4—42no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—42no—
1490C22⋊C4—42no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—44no—
1494C22⋊C4—41no—
1495C22⋊C4—44no—
1496C22⋊C4—41no—
1497C22⋊C4—41no—
1498C22⋊C4—41no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—42no—
1509C22⋊C4—42no—
1510C22⋊C4—42no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—42no—
1514C22⋊C4—42no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—42no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
1533C22⋊C4—42no—
1534C22⋊C4—44no—
1535C22⋊C4—42no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4H(5,𝔽2)14yes—
1542C42—22no—
1543C42—22no—
1544C42—22no—
1545C42—22no—
1546C42—22no—
1547C42—22no—
1548C42—24no—
1549C42—28no—
1550C42—24no—
1551C42—22no—
1552C42—24no—
1553C42—22no—
1554C42—24no—
1555C42—24no—
1556C42—22no—
1557C42—22no—
1558C42—22no—
1559C42—24no—
1560C42—24no—
1561C42—24no—
1562C42—42no—
1563C42—42no—
1564C42—42no—
1565C42—44no—
1566C42—44no—
1567C42—42no—
1568C42—41no—
1569C42H(5,𝔽2)14yes—
1570C23—21no—
1571C23—21no—
1572C23—21no—
1573C23—21no—
1574C23—21no—
1575C23—21no—
1576C23—24no—
1577C23—22no—
1578C23—21no—
1579C23—22no—
1580C23—24no—
1581C23—24no—
1582C23—22no—
1583C23—22no—
1584C23—21no—
1585C23—22no—
1586C23—22no—
1587C23—24no—
1588C23—21no—
1589C23—24no—
1590C23—24no—
1591C23—21no—
1592C23—24no—
1593C23—24no—
1594C23—24no—
1595C23—21no—
1596C23—22no—
1597C23—22no—
1598C23—22no—
1599C23—24no—
1600C23—22no—
1601C23—24no—
1602C23—21no—
1603C23—22no—
1604C23—22no—
1605C23—24no—
1606C23—22no—
1607C23—24no—
1608C23—21no—
1609C23—24no—
1610C23—22no—
1611C23—88no—
1612C23—88no—
1613C23—88no—
1614C23—88no—
1615C23—88no—
1616C23—164no—
1617C23—164no—
1618C23C2×H(5,𝔽2)12yes—
1619C23C2611yescharacteristic
1620Q8—44no—
1621Q8—44no—
1622Q8—84no—
1623Q8—84no—
1624Q8—164no—
1625D4—48no—
1626D4—44no—
1627D4—48no—
1628D4—44no—
1629D4—48no—
1630D4—48no—
1631D4—44no—
1632D4—48no—
1633D4—48no—
1634D4—84no—
1635D4—88no—
1636D4—84no—
1637D4—84no—
1638D4—84no—
1639D4—88no—
1640D4—88no—
1641D4—84no—
1642D4—84no—
1643D4—88no—
1644D4—88no—
1645D4—88no—
1646D4—88no—
1647D4—88no—
1648D4—164no—
1649D4—164no—
1650D4—164no—
1651D4—164no—
1652D4—164no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—21no—
1659C2×C4—22no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—22no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—24no—
1669C2×C4—22no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—24no—
1686C2×C4—24no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—24no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—24no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—24no—
1729C2×C4—21no—
1730C2×C4—44no—
1731C2×C4—44no—
1732C2×C4—48no—
1733C2×C4—44no—
1734C2×C4—44no—
1735C2×C4—44no—
1736C2×C4—48no—
1737C2×C4—44no—
1738C2×C4—48no—
1739C2×C4—88no—
1740C2×C4—84no—
1741C2×C4—88no—
1742C2×C4—88no—
1743C2×C4—88no—
1744C2×C4—164no—
1745C2×C4C2×H(5,𝔽2)14yes—
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×C4#58512yes—
1753C2×C4#58512yes—
1754C2×C4#58512yes—
1755C22—22no—
1756C22—22no—
1757C22—22no—
1758C22—41no—
1759C22—41no—
1760C22—41no—
1761C22—41no—
1762C22—42no—
1763C22—41no—
1764C22—44no—
1765C22—44no—
1766C22—42no—
1767C22—42no—
1768C22—42no—
1769C22—41no—
1770C22—44no—
1771C22—44no—
1772C22—44no—
1773C22—42no—
1774C22—42no—
1775C22—41no—
1776C22—44no—
1777C22—41no—
1778C22—42no—
1779C22—42no—
1780C22—44no—
1781C22—44no—
1782C22—41no—
1783C22—44no—
1784C22—42no—
1785C22—42no—
1786C22—44no—
1787C22—44no—
1788C22—42no—
1789C22—41no—
1790C22—42no—
1791C22—44no—
1792C22—42no—
1793C22—42no—
1794C22—44no—
1795C22—41no—
1796C22—44no—
1797C22—1616no—
1798C22C22×H(5,𝔽2)11yescharacteristic
1799C22C22×H(5,𝔽2)11yescharacteristic
1800C22C22×H(5,𝔽2)11yescharacteristic
1801C22C2×#58511yescharacteristic
1802C22C2×#58511yescharacteristic
1803C22C2×#58511yescharacteristic
1804C22H(7,𝔽2)11yescharacteristic
1805C4—22no—
1806C4—22no—
1807C4—22no—
1808C4—24no—
1809C4—41no—
1810C4—42no—
1811C4—41no—
1812C4—41no—
1813C4—42no—
1814C4—42no—
1815C4—41no—
1816C4—42no—
1817C4—44no—
1818C4—42no—
1819C4—42no—
1820C4—41no—
1821C4—42no—
1822C4—42no—
1823C4—41no—
1824C4—44no—
1825C4—42no—
1826C4—42no—
1827C4—42no—
1828C4—42no—
1829C4—41no—
1830C4—41no—
1831C4—42no—
1832C4#354014yes—
1833C4#354614yes—
1834C2—42no—
1835C2—82no—
1836C2—81no—
1837C2—82no—
1838C2—84no—
1839C2—84no—
1840C2C2×#354011yescharacteristic
1841C2C2×#354611yescharacteristic
1842C2#6275911yescharacteristic
1843C2#6291211yescharacteristic
1844C2#6292011yescharacteristic
1845C2#6296611yescharacteristic
1846C2#6301411yescharacteristic
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. #59822C2semidirect
2. #59568C2semidirect
3. #59488C2semidirect
4. #59124C2semidirect
5. #59057C2semidirect
6. #57418C2semidirect
7. #53969C2semidirect
8. #53116C2semidirect
9. #53103C2semidirect
10. #53090C2semidirect
11. #53060C2semidirect
12. #52337C2semidirect
13. #42971C2semidirect
14. #42677C2semidirect
15. #42588C2semidirect
16. #42581C2semidirect
17. #40498C2semidirect
18. #39810C2semidirect
19. #39408C2semidirect
20. #39405C2semidirect
21. #39169C2semidirect
22. #39158C2semidirect
23. #39052C2semidirect
24. #38985C2semidirect
25. #38921C2semidirect
26. #37629C2semidirect
27. #37625C2semidirect
28. #37614C2semidirect
29. #37501C2semidirect
30. #36410C2semidirect
31. #36273C2semidirect
32. #36121C2semidirect
33. #34977C2semidirect
34. #34803C2semidirect
35. #34727C2semidirect
36. C2×#555C22semidirect
37. C2×#555C22semidirect
38. C2×#554C22semidirect
46. C2×C4×#41C22semidirect
48. #2858C22semidirect
51. #2854C22semidirect
52. #2830C22semidirect
53. #2829C22semidirect
54. #2829C22semidirect
55. #2829C22semidirect
56. #2828C22semidirect
57. #2825C22semidirect
58. #2825C22semidirect
59. #2824C22semidirect
60. #2819C22semidirect
62. #2815C22semidirect
63. #2815C22semidirect
64. #2815C22semidirect
66. #2797C22semidirect
67. #2795C22semidirect
68. #2778C22semidirect
69. #2759C22semidirect
70. #2753C22semidirect
71. #2752C22semidirect
72. #2746C22semidirect
74. #2733C22semidirect
75. #2730C22semidirect
76. #2715C22semidirect
77. #2714C22semidirect
78. #2712C22semidirect
79. #2710C22semidirect
80. #2710C22semidirect
81. #2702C22semidirect
83. #2700C22semidirect
84. #2698C22semidirect
86. #2691C22semidirect
87. #2688C22semidirect
88. #2688C22semidirect
89. #2688C22semidirect
95. #2676C22semidirect
96. #2676C22semidirect
97. #2676C22semidirect
98. #2676C22semidirect
99. #2675C22semidirect
104. #2653C22semidirect
105. #2648C22semidirect
106. #2644C22semidirect
107. #2644C22semidirect
108. #2644C22semidirect
109. #2644C22semidirect
111. #2641C22semidirect
112. #2640C22semidirect
113. #2640C22semidirect
114. #2638C22semidirect
115. #2631C22semidirect
116. #2630C22semidirect
117. #2630C22semidirect
118. #2625C22semidirect
119. #2624C22semidirect
120. #2620C22semidirect
121. #2620C22semidirect
126. #2610C22semidirect
127. #2610C22semidirect
128. #2609C22semidirect
129. #2602C22semidirect
130. #2592C22semidirect
131. #2582C22semidirect
132. #2578C22semidirect
133. #2576C22semidirect
134. #2567C22semidirect
135. #2566C22semidirect
136. #2563C22semidirect
137. #2557C22semidirect
138. #2557C22semidirect
139. #2555C22semidirect
140. #2552C22semidirect
141. #2551C22semidirect
145. #2548C22semidirect
146. #2548C22semidirect
153. #2541C22semidirect
154. #2541C22semidirect
155. #2540C22semidirect
156. #2538C22semidirect
157. #2537C22semidirect
158. #2533C22semidirect
160. #2523C22semidirect
161. #2514C22semidirect
162. #2512C22semidirect
163. #2512C22semidirect
164. #2509C22semidirect
165. #2500C22semidirect
166. #2499C22semidirect
169. #2494C22semidirect
172. #2491C22semidirect
173. #2491C22semidirect
174. #2490C22semidirect
181. #2479C22semidirect
182. #2476C22semidirect
185. #2470C22semidirect
186. #2467C22semidirect
188. #2464C22semidirect
189. #2459C22semidirect
191. #2456C22semidirect
192. #2454C22semidirect
193. #2454C22semidirect
194. #2452C22semidirect
195. #2452C22semidirect
196. #2452C22semidirect
197. #2448C22semidirect
198. #2447C22semidirect
199. #2447C22semidirect
200. #2447C22semidirect
201. #2447C22semidirect
205. #2445C22semidirect
206. #2441C22semidirect
207. #2439C22semidirect
208. #2439C22semidirect
215. #2431C22semidirect
216. #2431C22semidirect
217. #2431C22semidirect
222. #2428C22semidirect
223. #2428C22semidirect
224. #2427C22semidirect
225. #2427C22semidirect
229. #2422C22semidirect
230. #2416C22semidirect
231. #2416C22semidirect
232. #2416C22semidirect
236. #2414C22semidirect
237. #2414C22semidirect
238. #2414C22semidirect
239. #2414C22semidirect
240. #2414C22semidirect
241. #2414C22semidirect
242. #2414C22semidirect
250. #2407C22semidirect
251. #2407C22semidirect
252. #2407C22semidirect
253. #2407C22semidirect
254. #2401C22semidirect
257. #2392C22semidirect
258. #2388C22semidirect
259. #2369C22semidirect
260. #2367C22semidirect
262. #2366C22semidirect
263. #2363C22semidirect
264. #2363C22semidirect
265. #2361C22semidirect
266. #2354C22semidirect
267. #2354C22semidirect
268. #2354C22semidirect
273. #2331C22semidirect
274. #2328C22semidirect
275. #2319C22semidirect
276. #2317C22semidirect
277. C4×C4⋊Q8C22semidirect
279. C4×#127C22semidirect
280. C4×#127C22semidirect
282. C4×#124C22semidirect
284. C4×C22⋊Q8C22semidirect
287. C4×#121C22semidirect
288. C4×#121C22semidirect
289. C4×#121C22semidirect
290. #2297C22semidirect
291. #2295C22semidirect
292. #2295C22semidirect
293. #2295C22semidirect
294. #2293C22semidirect
295. #2290C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#598222
#595682
#594882
#591242
#590572
#574182
#539692
#531162
#531032
#530902
#530602
#523372
#429712
#426772
#425882
#425812
#404982
#398102
#394082
#394052
#391692
#391582
#390522
#389852
#389212
#376292
#376252
#376142
#375012
#364102
#362732
#361212
#349772
#348032
#347272