Finite Group Databasebeta

← #8425174

Subgroups — #8425174

Order 512.

4927 conjugacy classes of subgroups.

The subgroup lattice has 1761 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59562C212yesmaximal, complemented
2#59434C211yesmaximal, characteristic, complemented
3#59094C212yesmaximal, complemented
4#59052C211yesmaximal, characteristic, complemented
5#59035C211yesmaximal, characteristic, complemented
6#54890C214yesmaximal, complemented
7#54433C214yesmaximal, complemented
8#53152C212yesmaximal, complemented
9#53062C212yesmaximal, complemented
10#53043C212yesmaximal, complemented
11#52980C212yesmaximal, complemented
12#52556C214yesmaximal, complemented
13#42619C212yesmaximal, complemented
14#42574C212yesmaximal, complemented
15#42486C212yesmaximal, complemented
16#42443C212yesmaximal, complemented
17#40906C214yesmaximal, complemented
18#39781C212yesmaximal, complemented
19#39598C211yesmaximal, characteristic, complemented
20#39351C211yesmaximal, characteristic, complemented
21#39215C212yesmaximal, complemented
22#39158C211yesmaximal, characteristic, complemented
23#38910C211yesmaximal, characteristic, complemented
24#38202C212yesmaximal, complemented
25#37773C212yesmaximal, complemented
26#37633C211yesmaximal, characteristic, complemented
27#37627C212yesmaximal, complemented
28#37619C211yesmaximal, characteristic, complemented
29#37492C212yesmaximal, complemented
30#36300C211yesmaximal, characteristic, complemented
31#36289C211yesmaximal, characteristic, complemented
32#36150C211yesmaximal, characteristic, complemented
33#34929C211yesmaximal, characteristic, complemented
34#34919C211yesmaximal, characteristic, complemented
35#34917C211yesmaximal, characteristic, complemented
36C2×#554C2211yescharacteristic
37C2×#546C2212yes—
38C2×D42C2211yescharacteristic
39C2×#542C2212yescomplemented
40C2×#533C2211yescharacteristic, complemented
41C2×#533C2211yescharacteristic, complemented
42C2×#533C2212yescomplemented
43C2×#532C2211yescharacteristic
44C2×#529C2211yescharacteristic
45#2860C2212yescomplemented
46#2858C2211yescharacteristic
47#2857C2211yescharacteristic, complemented
48#2856C2211yescharacteristic
49#2850C2212yes—
50#2842C2214yescomplemented
51#2838C2214yescomplemented
52#2837C2214yescomplemented
53#2837C2214yescomplemented
54#2837C2214yescomplemented
55#2837C2214yescomplemented
56#2834C2214yescomplemented
57#2830C2214yescomplemented
58#2829C2214yescomplemented
59#2829C2214yescomplemented
60#2825C2214yescomplemented
61#2816C2214yescomplemented
62#2814C2214yescomplemented
63#2813C2214yescomplemented
64#2801C2214yescomplemented
65#2800C2214yescomplemented
66#2797C2214yescomplemented
67#2787C2214yescomplemented
68#2780C2214yescomplemented
69#2778C2214yescomplemented
70#2777C2214yescomplemented
71#2759C2214yescomplemented
72#2759C2214yescomplemented
73#2757C2214yescomplemented
74#2757C2214yescomplemented
75#2756C2214yescomplemented
76#2748C2214yescomplemented
77#2747C2214yescomplemented
78#2735C2214yescomplemented
79#2735C2214yescomplemented
80#2735C2214yescomplemented
81#2732C2214yescomplemented
82#2732C2214yescomplemented
83#2730C2214yescomplemented
84#2723C2214yescomplemented
85#2721C2214yescomplemented
86#2718C2214yescomplemented
87#2711C2214yescomplemented
88#2710C2214yescomplemented
89#2707C2214yescomplemented
90#2704C2214yescomplemented
91#2700C2214yescomplemented
92#2694C2214yescomplemented
93#2692C2214yescomplemented
94#2685C2214yes—
95#2685C2214yescomplemented
96#2683C2214yescomplemented
97#2678C2214yes—
98#2672C2214yescomplemented
99#2670C2214yescomplemented
100#2668C2214yes—
101#2662C2214yescomplemented
102#2658C2212yescomplemented
103#2653C2214yescomplemented
104#2651C2214yescomplemented
105#2651C2214yescomplemented
106#2644C2212yes—
107#2640C2212yescomplemented
108#2637C2214yescomplemented
109#2633C2214yescomplemented
110#2629C2212yescomplemented
111#2629C2212yescomplemented
112#2629C2212yescomplemented
113#2626C2214yescomplemented
114#2626C2214yescomplemented
115#2625C2214yescomplemented
116#2624C2212yes—
117#2624C2212yescomplemented
118#2624C2212yescomplemented
119#2624C2212yescomplemented
120#2622C2214yescomplemented
121#2621C2212yescomplemented
122#2620C2212yes—
123#2620C2214yescomplemented
124#2594C2214yescomplemented
125#2584C2212yescomplemented
126#2580C2212yescomplemented
127#2580C2212yescomplemented
128#2578C2212yescomplemented
129#2576C2214yescomplemented
130#2576C2212yescomplemented
131#2570C2211yescharacteristic, complemented
132#2567C2211yescharacteristic, complemented
133#2566C2211yescharacteristic
134#2565C2212yescomplemented
135#2563C2211yescharacteristic
136#2562C2211yescharacteristic, complemented
137#2560C2212yescomplemented
138#2558C2212yescomplemented
139#2556C2214yescomplemented
140#2554C2214yescomplemented
141#2552C2212yescomplemented
142#2551C2211yescharacteristic, complemented
143#2550C2211yescharacteristic, complemented
144#2548C2211yescharacteristic
145#2548C2211yescharacteristic
146#2547C2211yescharacteristic
147#2547C2212yescomplemented
148#2546C2211yescharacteristic, complemented
149#2546C2211yescharacteristic, complemented
150#2545C2212yes—
151#2545C2212yes—
152#2545C2211yescharacteristic
153#2542C2211yescharacteristic
154#2542C2212yescomplemented
155#2542C2212yescomplemented
156#2540C2211yescharacteristic
157#2540C2212yes—
158#2540C2212yescomplemented
159#2538C2211yescharacteristic
160#2538C2212yes—
161#2538C2212yescomplemented
162#2537C2212yes—
163#2536C2211yescharacteristic, complemented
164#2535C2211yescharacteristic
165#2521C2214yescomplemented
166#2519C2212yescomplemented
167#2515C2212yescomplemented
168#2514C2212yescomplemented
169#2513C2212yescomplemented
170#2512C2212yescomplemented
171#2512C2212yescomplemented
172#2506C2212yescomplemented
173#2504C2212yes—
174#2497C2212yescomplemented
175#2497C2211yescharacteristic, complemented
176#2494C2212yescomplemented
177#2494C2212yescomplemented
178#2494C2211yescharacteristic, complemented
179#2494C2212yescomplemented
180#2492C2212yescomplemented
181#2491C2211yescharacteristic
182#2491C2212yes—
183#2491C2212yescomplemented
184#2490C2212yes—
185#2490C2212yes—
186#2490C2212yes—
187#2490C2212yescomplemented
188#2489C2211yescharacteristic, complemented
189#2485C2212yescomplemented
190#2485C2212yescomplemented
191#2485C2212yescomplemented
192#2480C2214yescomplemented
193#2479C2214yescomplemented
194#2477C2214yescomplemented
195#2474C2214yescomplemented
196#2472C2214yes—
197#2472C2214yes—
198#2472C2214yescomplemented
199#2472C2214yescomplemented
200#2471C2214yescomplemented
201#2461C2212yescomplemented
202#2458C2214yescomplemented
203#2457C2212yescomplemented
204#2454C2212yes—
205#2454C2212yescomplemented
206#2454C2212yescomplemented
207#2452C2212yes—
208#2452C2212yescomplemented
209#2448C2212yes—
210#2448C2212yescomplemented
211#2448C2212yescomplemented
212#2448C2212yescomplemented
213#2448C2214yescomplemented
214#2441C2212yescomplemented
215#2441C2212yescomplemented
216#2440C2212yescomplemented
217#2439C2212yescomplemented
218#2437C2214yescomplemented
219#2435C2212yes—
220#2435C2212yes—
221#2435C2212yes—
222#2432C2212yescomplemented
223#2432C2212yescomplemented
224#2429C2212yescomplemented
225#2429C2212yescomplemented
226#2429C2212yescomplemented
227#2429C2211yescharacteristic, complemented
228#2427C2212yes—
229#2427C2212yescomplemented
230#2426C2211yescharacteristic
231#2426C2212yescomplemented
232#2426C2212yescomplemented
233#2426C2214yescomplemented
234#2423C2214yescomplemented
235#2423C2214yescomplemented
236#2422C2211yescharacteristic
237#2422C2212yes—
238#2422C2212yescomplemented
239#2420C2211yescharacteristic
240#2418C2214yes—
241#2417C2212yescomplemented
242#2417C2212yescomplemented
243#2414C2212yes—
244#2414C2212yescomplemented
245#2411C2214yescomplemented
246#2411C2214yescomplemented
247#2408C2212yes—
248#2408C2212yes—
249#2408C2212yes—
250#2407C2212yes—
251#2407C2212yescomplemented
252#2401C2212yescomplemented
253#2396C2214yescomplemented
254#2396C2212yescomplemented
255#2392C2212yescomplemented
256#2392C2212yescomplemented
257#2369C2211yescharacteristic, complemented
258#2367C2212yescomplemented
259#2367C2212yescomplemented
260#2366C2211yescharacteristic
261#2365C2212yescomplemented
262#2363C2212yes—
263#2363C2212yescomplemented
264#2360C2212yescomplemented
265#2354C2211yescharacteristic
266#2354C2212yescomplemented
267Q8×C4⋊C4C2211yescharacteristic, complemented
268#2347C2212yescomplemented
269#2342C2214yescomplemented
270#2341C2212yescomplemented
271D4×C22⋊C4C2212yes—
272D4×C22⋊C4C2212yes—
273D4×C22⋊C4C2212yes—
274#2334C2214yescomplemented
275#2331C2212yescomplemented
276#2324C2212yes—
277#2309C2212yes—
278C4×C4⋊Q8C2211yescharacteristic, complemented
279C4×C4⋊Q8C2212yescomplemented
280C4×#125C2211yescharacteristic, complemented
281C4×#124C2211yescharacteristic
282C4×#124C2212yescomplemented
283C4×C22⋊Q8C2212yescomplemented
284C4×C22⋊Q8C2211yescharacteristic, complemented
285C4×#123C2212yescomplemented
286C4×#121C2211yescharacteristic
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289#2293C2212yes—
290#2293C2212yescomplemented
291#2293C2212yescomplemented
292C2×#390C2212yes—
293#2290C2212yescomplemented
294#2285C2211yescharacteristic, complemented
295#2283C2211yescharacteristic, complemented
296C42×Q8C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C23×D4C2312yes—
301C23×D4C2312yes—
302#554—44no—
303#546—48no—
304D42—44no—
305#542—48no—
306#533—44no—
307#533—44no—
308#533—48no—
309#532—44no—
310C2×C4⋊Q8C2311yescharacteristic
311C2×C4⋊Q8C2311yescharacteristic
312C2×C4⋊Q8C2312yes—
313C2×C4⋊Q8C2312yes—
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×#127C2311yescharacteristic
319#529—44no—
320C2×#126C2312yes—
321C2×#126C2314yes—
322C2×#126C2314yes—
323C2×#125C2311yescharacteristic
324C2×#125C2311yescharacteristic
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2314yes—
329C2×#124C2312yes—
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#124C2311yescharacteristic
337C2×#124C2311yescharacteristic
338C2×#124C2312yes—
339C2×#124C2314yes—
340C2×#123C2312yes—
341C2×#123C2314yes—
342C2×#123C2312yes—
343C2×#123C2314yes—
344C2×C22⋊Q8C2312yes—
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2314yes—
360C2×C22⋊Q8C2314yes—
361C2×#121C2311yescharacteristic
362C2×#121C2311yescharacteristic
363C2×#121C2311yescharacteristic
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2311yescharacteristic
369C2×#121C2314yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#120C2314yes—
374C2×#120C2314yes—
375C2×#120C2314yes—
376C2×C4×Q8C2311yescharacteristic
377C2×C4×Q8C2311yescharacteristic
378C2×C4×Q8C2311yescharacteristic
379C2×C4×Q8C2312yes—
380C2×C4×Q8C2314yes—
381C2×C4×Q8C2312yes—
382C2×C4×Q8C2312yes—
383C2×C4×Q8C2312yes—
384C2×C4×Q8C2312yes—
385C2×C4×Q8C2311yescharacteristic
386C2×C4×D4C2311yescharacteristic
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2312yes—
389C2×C4×D4C2311yescharacteristic
390C2×C4×D4C2311yescharacteristic
391C2×C4×D4C2311yescharacteristic
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2311yescharacteristic
402C2×#117C2312yes—
403C2×#117C2312yes—
404C2×#117C2312yes—
405C2×#117C2314yes—
406C2×#117C2312yes—
407C2×#117C2312yes—
408C2×#117C2314yes—
409C22×C4⋊C4C2312yes—
410C22×C22⋊C4C2314yes—
411C22×C22⋊C4C2314yes—
412C22×C22⋊C4C2314yes—
413C22×C42C2311yescharacteristic
414C22×C42C2311yescharacteristic
415C22×C42C2312yes—
416#401C2314yes—
417#401C2314yes—
418#401C2312yes—
419#400C2312yes—
420#400C2312yes—
421#400C2312yes—
422#400C2314yes—
423#400C2314yes—
424#400C2312yes—
425#399C2314yes—
426#399C2314yes—
427#399C2314yes—
428#399C2314yes—
429#399C2314yes—
430#399C2314yes—
431#399C2314yes—
432#399C2314yes—
433#399C2314yes—
434#399C2314yes—
435#399C2312yes—
436#399C2314yes—
437#399C2314yes—
438#399C2314yes—
439#398C2312yes—
440#398C2314yes—
441#398C2314yes—
442#398C2314yes—
443#398C2314yes—
444#398C2312yes—
445#398C2314yes—
446#398C2314yes—
447#398C2314yes—
448#398C2312yes—
449#398C2314yes—
450#398C2314yes—
451#398C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2312yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2312yes—
469#397C2312yes—
470#397C2312yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2312yes—
479#396C2312yes—
480#396C2312yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2312yes—
488#396C2314yes—
489#396C2312yes—
490#396C2312yes—
491#396C2314yes—
492#396C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2312yes—
502#396C2314yes—
503#396C2312yes—
504#395C2314yes—
505#395C2314yes—
506#395C2312yes—
507#395C2314yes—
508#394C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2312yes—
516#394C2312yes—
517#394C2314yes—
518#394C2312yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2312yes—
527#394C2314yes—
528#394C2312yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#393C2312yes—
538#393C2314yes—
539#393C2314yes—
540#393C2314yes—
541#393C2314yes—
542#393C2314yes—
543#393C2314yes—
544#392C2312yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2312yes—
550#391C2312yes—
551#391C2314yes—
552#391C2312yes—
553#391C2312yes—
554#391C2312yes—
555#391C2312yes—
556#391C2314yes—
557#391C2314yes—
558#391C2311yescharacteristic
559#391C2312yes—
560#391C2312yes—
561#391C2314yes—
562#391C2311yescharacteristic
563#390C2312yes—
564#390C2312yes—
565#390C2311yescharacteristic
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2314yes—
570#390C2314yes—
571#390C2311yescharacteristic
572#390C2314yes—
573#390C2314yes—
574#390C2314yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2314yes—
584#390C2314yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2312yes—
589#390C2312yes—
590#390C2314yes—
591#390C2314yes—
592#390C2312yes—
593#390C2312yes—
594#390C2311yescharacteristic
595#390C2314yes—
596#390C2312yes—
597#390C2312yes—
598#390C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2312yes—
602#389C2314yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2311yescharacteristic
609#389C2311yescharacteristic
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2314yes—
614#389C2314yes—
615#389C2314yes—
616#389C2314yes—
617#389C2312yes—
618#389C2311yescharacteristic
619#389C2312yes—
620#389C2314yes—
621#389C2312yes—
622#389C2312yes—
623#389C2311yescharacteristic
624#389C2314yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#388C2312yes—
631#388C2312yes—
632#388C2312yes—
633#388C2312yes—
634#388C2312yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2312yes—
639#388C2312yes—
640#388C2314yes—
641#388C2314yes—
642#388C2312yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2312yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2312yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2314yes—
671#388C2312yes—
672#388C2312yes—
673#388C2314yes—
674#388C2312yes—
675#387C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2314yes—
679#387C2314yes—
680#387C2312yes—
681#387C2312yes—
682#387C2314yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2312yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2312yes—
692#386C2312yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2312yes—
699#386C2312yes—
700#386C2312yes—
701#386C2312yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2312yes—
708#385C2312yes—
709#385C2312yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#385C2314yes—
717#385C2314yes—
718#385C2314yes—
719#385C2314yes—
720#385C2314yes—
721#385C2312yes—
722#385C2312yes—
723#384C2311yescharacteristic
724#384C2312yes—
725#384C2312yes—
726#384C2311yescharacteristic
727#384C2311yescharacteristic
728#384C2312yes—
729#384C2314yes—
730#383C2312yes—
731#383C2314yes—
732#382C2311yescharacteristic
733#382C2312yes—
734#382C2311yescharacteristic
735#382C2311yescharacteristic
736#382C2312yes—
737#382C2312yes—
738#382C2311yescharacteristic
739#381C2312yes—
740#381C2312yes—
741#380C2311yescharacteristic
742#380C2311yescharacteristic
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2312yes—
747#380C2312yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2314yes—
752#380C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2314yes—
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2314yes—
759#380C2314yes—
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2311yescharacteristic
763#379C2314yes—
764#379C2314yes—
765#379C2314yes—
766#379C2314yes—
767#379C2314yes—
768#379C2314yes—
769#379C2314yes—
770C4×C4⋊C4C2312yes—
771C4×C4⋊C4C2311yescharacteristic
772C4×C4⋊C4C2311yescharacteristic
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2311yescharacteristic
778C4×C4⋊C4C2314yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2311yescharacteristic
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2314yes—
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C22⋊C4C2311yescharacteristic
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2311yescharacteristic
805C4×C22⋊C4C2314yes—
806C4×C22⋊C4C2314yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816#376C2312yes—
817C43C2311yescharacteristic
818C43C2312yes—
819C25C2414yes—
820C2×#41—44no—
821C2×#41—44no—
822C2×#41—44no—
823C22×Q8C2411yescharacteristic
824C22×Q8C2411yescharacteristic
825C22×Q8C2412yes—
826C22×Q8C2412yes—
827C22×Q8C2414yes—
828C22×Q8C2412yes—
829C22×D4—28no—
830C22×D4—44no—
831C22×D4—44no—
832C22×D4—44no—
833C22×D4—44no—
834C22×D4—44no—
835C22×D4C2412yes—
836C22×D4C2411yescharacteristic
837C22×D4C2412yes—
838C22×D4C2411yescharacteristic
839C22×D4C2412yes—
840C22×D4C2412yes—
841C22×D4C2412yes—
842C22×D4C2412yes—
843C22×D4C2414yes—
844C22×D4C2411yescharacteristic
845C22×D4C2412yes—
846C22×D4C2414yes—
847C22×D4C2414yes—
848C22×D4C2414yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2412yes—
854C23×C4C2411yescharacteristic
855C23×C4C2412yes—
856C23×C4C2414yes—
857C23×C4C2411yescharacteristic
858C23×C4C2411yescharacteristic
859C23×C4C2414yes—
860C23×C4C2412yes—
861C23×C4C2414yes—
862C4⋊Q8—28no—
863C4⋊Q8—24no—
864C4⋊Q8—24no—
865C4⋊Q8—44no—
866C4⋊Q8—42no—
867C4⋊Q8—44no—
868C4⋊Q8—42no—
869C4⋊Q8—44no—
870#127—24no—
871#126—48no—
872#126—44no—
873#126—48no—
874#125—42no—
875#125—42no—
876#125—44no—
877#125—44no—
878#125—44no—
879#125—48no—
880#124—44no—
881#124—44no—
882#124—42no—
883#124—44no—
884#124—42no—
885#124—44no—
886#124—44no—
887#124—44no—
888#124—48no—
889#124—84no—
890#124—82no—
891#123—48no—
892#123—44no—
893#123—44no—
894#123—48no—
895C22⋊Q8—28no—
896C22⋊Q8—24no—
897C22⋊Q8—48no—
898C22⋊Q8—48no—
899C22⋊Q8—44no—
900C22⋊Q8—44no—
901C22⋊Q8—42no—
902C22⋊Q8—42no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8—42no—
906C22⋊Q8—44no—
907C22⋊Q8—48no—
908C22⋊Q8—44no—
909C22⋊Q8—84no—
910C22⋊Q8—84no—
911C22⋊Q8—82no—
912#121—24no—
913#121—24no—
914#121—24no—
915#121—44no—
916#121—42no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—44no—
921#121—44no—
922#121—48no—
923#121—82no—
924#120—48no—
925#120—48no—
926#120—84no—
927C4×Q8—24no—
928C4×Q8—24no—
929C4×Q8—24no—
930C4×Q8—44no—
931C4×Q8—42no—
932C4×Q8—44no—
933C4×Q8—44no—
934C4×Q8—44no—
935C4×Q8—48no—
936C4×Q8—44no—
937C4×D4—24no—
938C4×D4—28no—
939C4×D4—24no—
940C4×D4—24no—
941C4×D4—42no—
942C4×D4—42no—
943C4×D4—44no—
944C4×D4—44no—
945C4×D4—44no—
946C4×D4—44no—
947C4×D4—42no—
948C4×D4—44no—
949C4×D4—42no—
950C4×D4—44no—
951C4×D4—44no—
952C4×D4—44no—
953#117—44no—
954#117—44no—
955#117—44no—
956#117—48no—
957#117—44no—
958#117—44no—
959#117—84no—
960C2×C4⋊C4—44no—
961C2×C4⋊C4C2411yescharacteristic
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2411yescharacteristic
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2412yes—
970C2×C4⋊C4C2411yescharacteristic
971C2×C4⋊C4C2411yescharacteristic
972C2×C4⋊C4C2411yescharacteristic
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2411yescharacteristic
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2411yescharacteristic
982C2×C4⋊C4C2411yescharacteristic
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C22⋊C4—48no—
1029C2×C22⋊C4—48no—
1030C2×C22⋊C4—84no—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2414yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2411yescharacteristic
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2411yescharacteristic
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C42—24no—
1104C2×C42—24no—
1105C2×C42—44no—
1106C2×C42C2412yes—
1107C2×C42C2412yes—
1108C2×C42C2411yescharacteristic
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2412yes—
1112C2×C42C2411yescharacteristic
1113C2×C42C2411yescharacteristic
1114C2×C42C2411yescharacteristic
1115C2×C42C2412yes—
1116C2×C42C2411yescharacteristic
1117C2×C42C2411yescharacteristic
1118C2×C42C2412yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123C2×C42C2411yescharacteristic
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2414yes—
1127C2×C42C2414yes—
1128C2×C42C2414yes—
1129C2×C42C2414yes—
1130C2×C42C2412yes—
1131C2×C42C2414yes—
1132C2×C42C2412yes—
1133C2×C42C2411yescharacteristic
1134C2×C42C2412yes—
1135C2×C42C2411yescharacteristic
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2411yescharacteristic
1141#95C2412yes—
1142#95C2411yescharacteristic
1143#95C2412yes—
1144#95C2412yes—
1145#95C2411yescharacteristic
1146#95C2411yescharacteristic
1147#95C2411yescharacteristic
1148#95C2411yescharacteristic
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2412yes—
1158#95C2412yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2412yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2412yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2412yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196C24—28no—
1197C24—44no—
1198C24—44no—
1199C24—44no—
1200C24—44no—
1201C24—44no—
1202C24—44no—
1203C24C2512yes—
1204C24C2514yes—
1205C24C2511yescharacteristic
1206C24C2511yescharacteristic
1207C24C2512yes—
1208#41—816no—
1209C2×Q8—22no—
1210C2×Q8—22no—
1211C2×Q8—22no—
1212C2×Q8—22no—
1213C2×Q8—24no—
1214C2×Q8—24no—
1215C2×Q8—24no—
1216C2×Q8—28no—
1217C2×Q8—22no—
1218C2×Q8—24no—
1219C2×Q8—22no—
1220C2×Q8—42no—
1221C2×Q8—42no—
1222C2×Q8—44no—
1223C2×Q8—42no—
1224C2×Q8—42no—
1225C2×Q8—42no—
1226C2×Q8—44no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—28no—
1230C2×D4—22no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—22no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—24no—
1239C2×D4—22no—
1240C2×D4—24no—
1241C2×D4—22no—
1242C2×D4—24no—
1243C2×D4—41no—
1244C2×D4—41no—
1245C2×D4—41no—
1246C2×D4—42no—
1247C2×D4—42no—
1248C2×D4—42no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—42no—
1254C2×D4—42no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—42no—
1260C2×D4—42no—
1261C2×D4—42no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—816no—
1269C2×D4—816no—
1270C2×D42−1+414yes—
1271C22×C4—24no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—22no—
1279C22×C4—24no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—28no—
1294C22×C4—42no—
1295C22×C4—42no—
1296C22×C4—44no—
1297C22×C4—42no—
1298C22×C4—44no—
1299C22×C4—44no—
1300C22×C4—44no—
1301C22×C4—41no—
1302C22×C4—41no—
1303C22×C4—42no—
1304C22×C4—41no—
1305C22×C4—41no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2511yescharacteristic
1313C22×C4C2511yescharacteristic
1314C22×C4C2512yes—
1315C22×C4C2511yescharacteristic
1316C22×C4C2511yescharacteristic
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2512yes—
1320C22×C4C2512yes—
1321C22×C4C2511yescharacteristic
1322C22×C4C2512yes—
1323C22×C4C2512yes—
1324C22×C4C2511yescharacteristic
1325C22×C4C2512yes—
1326C22×C4C2514yes—
1327C22×C4C2514yes—
1328C22×C4C2514yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2511yescharacteristic
1335C22×C4C2511yescharacteristic
1336C22×C4C2512yes—
1337C22×C4C2511yescharacteristic
1338C22×C4C2511yescharacteristic
1339C22×C4C2511yescharacteristic
1340C4⋊C4—22no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—28no—
1345C4⋊C4—22no—
1346C4⋊C4—22no—
1347C4⋊C4—24no—
1348C4⋊C4—22no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—28no—
1354C4⋊C4—24no—
1355C4⋊C4—22no—
1356C4⋊C4—22no—
1357C4⋊C4—22no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—22no—
1361C4⋊C4—22no—
1362C4⋊C4—22no—
1363C4⋊C4—24no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—42no—
1368C4⋊C4—42no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—44no—
1374C4⋊C4—42no—
1375C4⋊C4—41no—
1376C4⋊C4—41no—
1377C4⋊C4—42no—
1378C4⋊C4—41no—
1379C4⋊C4—42no—
1380C4⋊C4—42no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—44no—
1384C4⋊C4—44no—
1385C4⋊C4—42no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—42no—
1390C4⋊C4—44no—
1391C4⋊C4—42no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—42no—
1395C4⋊C4—44no—
1396C4⋊C4—42no—
1397C4⋊C4—44no—
1398C4⋊C4—42no—
1399C4⋊C4—42no—
1400C4⋊C4—42no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4H(5,𝔽2)14yes—
1407C22⋊C4—24no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—28no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—28no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—28no—
1418C22⋊C4—22no—
1419C22⋊C4—22no—
1420C22⋊C4—42no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—42no—
1425C22⋊C4—44no—
1426C22⋊C4—44no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—42no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—42no—
1435C22⋊C4—42no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—41no—
1440C22⋊C4—41no—
1441C22⋊C4—42no—
1442C22⋊C4—42no—
1443C22⋊C4—42no—
1444C22⋊C4—44no—
1445C22⋊C4—42no—
1446C22⋊C4—42no—
1447C22⋊C4—41no—
1448C22⋊C4—41no—
1449C22⋊C4—42no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—42no—
1454C22⋊C4—42no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—42no—
1465C22⋊C4—44no—
1466C22⋊C4—42no—
1467C22⋊C4—42no—
1468C22⋊C4—44no—
1469C22⋊C4—42no—
1470C22⋊C4—44no—
1471C22⋊C4—42no—
1472C22⋊C4—42no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C42—22no—
1480C42—22no—
1481C42—22no—
1482C42—22no—
1483C42—22no—
1484C42—22no—
1485C42—22no—
1486C42—24no—
1487C42—24no—
1488C42—24no—
1489C42—24no—
1490C42—24no—
1491C42—22no—
1492C42—22no—
1493C42—24no—
1494C42—22no—
1495C42—22no—
1496C42—24no—
1497C42—24no—
1498C42—42no—
1499C42—42no—
1500C42—44no—
1501C42—44no—
1502C42—44no—
1503C42—42no—
1504C42—44no—
1505C42—42no—
1506C42—44no—
1507C42—41no—
1508C42H(5,𝔽2)14yes—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—22no—
1514C23—22no—
1515C23—21no—
1516C23—22no—
1517C23—24no—
1518C23—22no—
1519C23—21no—
1520C23—21no—
1521C23—24no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—22no—
1526C23—24no—
1527C23—24no—
1528C23—22no—
1529C23—21no—
1530C23—21no—
1531C23—21no—
1532C23—21no—
1533C23—22no—
1534C23—24no—
1535C23—24no—
1536C23—22no—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—24no—
1541C23—22no—
1542C23—21no—
1543C23—88no—
1544C23—88no—
1545C23—88no—
1546C23—88no—
1547C23—88no—
1548C23—164no—
1549C23—164no—
1550C23C2×2−1+414yes—
1551C23C2611yescharacteristic
1552Q8—44no—
1553Q8—44no—
1554Q8—48no—
1555Q8—88no—
1556Q8—84no—
1557Q8—84no—
1558D4—28no—
1559D4—44no—
1560D4—44no—
1561D4—48no—
1562D4—48no—
1563D4—84no—
1564D4—84no—
1565D4—84no—
1566D4—84no—
1567D4—88no—
1568D4—84no—
1569D4—88no—
1570D4—88no—
1571D4—164no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—22no—
1575C2×C4—21no—
1576C2×C4—22no—
1577C2×C4—21no—
1578C2×C4—21no—
1579C2×C4—21no—
1580C2×C4—21no—
1581C2×C4—21no—
1582C2×C4—21no—
1583C2×C4—21no—
1584C2×C4—22no—
1585C2×C4—21no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—22no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—24no—
1599C2×C4—24no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—22no—
1611C2×C4—21no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—21no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—22no—
1627C2×C4—21no—
1628C2×C4—24no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—21no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—24no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—24no—
1646C2×C4—22no—
1647C2×C4—22no—
1648C2×C4—21no—
1649C2×C4—24no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—22no—
1653C2×C4—48no—
1654C2×C4—44no—
1655C2×C4—48no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—44no—
1659C2×C4—48no—
1660C2×C4—88no—
1661C2×C4—82no—
1662C2×C4—82no—
1663C2×C4—84no—
1664C2×C4—88no—
1665C2×C4—164no—
1666C2×C4C2×H(5,𝔽2)12yes—
1667C2×C4C2×H(5,𝔽2)14yes—
1668C2×C4C2×H(5,𝔽2)12yes—
1669C2×C4C2×H(5,𝔽2)12yes—
1670C2×C4C2×H(5,𝔽2)12yes—
1671C2×C4C2×2−1+412yes—
1672C2×C4#58512yes—
1673C2×C4#58512yes—
1674C2×C4#58512yes—
1675C22—24no—
1676C22—24no—
1677C22—24no—
1678C22—42no—
1679C22—42no—
1680C22—42no—
1681C22—42no—
1682C22—41no—
1683C22—41no—
1684C22—42no—
1685C22—44no—
1686C22—41no—
1687C22—41no—
1688C22—44no—
1689C22—42no—
1690C22—41no—
1691C22—41no—
1692C22—44no—
1693C22—42no—
1694C22—41no—
1695C22—41no—
1696C22—44no—
1697C22—42no—
1698C22—44no—
1699C22—41no—
1700C22—42no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—44no—
1705C22—42no—
1706C22—41no—
1707C22—41no—
1708C22—44no—
1709C22—42no—
1710C22—1616no—
1711C22C22×H(5,𝔽2)11yescharacteristic
1712C22C22×H(5,𝔽2)11yescharacteristic
1713C22C22×2−1+411yescharacteristic
1714C22C2×#58511yescharacteristic
1715C22C2×#58511yescharacteristic
1716C22C2×#58511yescharacteristic
1717C22H(7,𝔽2)11yescharacteristic
1718C4—22no—
1719C4—24no—
1720C4—22no—
1721C4—41no—
1722C4—41no—
1723C4—42no—
1724C4—41no—
1725C4—41no—
1726C4—42no—
1727C4—44no—
1728C4—42no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C4—42no—
1734C4—41no—
1735C4—41no—
1736C4—42no—
1737C4—42no—
1738C4—44no—
1739C4—41no—
1740C4—42no—
1741C4—41no—
1742C4—41no—
1743C4—42no—
1744C4—44no—
1745C4—42no—
1746C4#354614yes—
1747C4#356114yes—
1748C2—44no—
1749C2—81no—
1750C2—81no—
1751C2—84no—
1752C2—82no—
1753C2C2×#356111yescharacteristic
1754C2C2×#354611yescharacteristic
1755C2#6276211yescharacteristic
1756C2#6292011yescharacteristic
1757C2#6295111yescharacteristic
1758C2#6295511yescharacteristic
1759C2#6301511yescharacteristic
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. #59562C2semidirect
2. #59434C2semidirect
3. #59094C2semidirect
4. #59052C2semidirect
5. #59035C2semidirect
6. #54890C2semidirect
7. #54433C2semidirect
8. #53152C2semidirect
9. #53062C2semidirect
10. #53043C2semidirect
11. #52980C2semidirect
12. #52556C2semidirect
13. #42619C2semidirect
14. #42574C2semidirect
15. #42486C2semidirect
16. #42443C2semidirect
17. #40906C2semidirect
18. #39781C2semidirect
19. #39598C2semidirect
20. #39351C2semidirect
21. #39215C2semidirect
22. #39158C2semidirect
23. #38910C2semidirect
24. #38202C2semidirect
25. #37773C2semidirect
26. #37633C2semidirect
27. #37627C2semidirect
28. #37619C2semidirect
29. #37492C2semidirect
30. #36300C2semidirect
31. #36289C2semidirect
32. #36150C2semidirect
33. #34929C2semidirect
34. #34919C2semidirect
35. #34917C2semidirect
39. C2×#542C22semidirect
40. C2×#533C22semidirect
41. C2×#533C22semidirect
42. C2×#533C22semidirect
45. #2860C22semidirect
47. #2857C22semidirect
50. #2842C22semidirect
51. #2838C22semidirect
52. #2837C22semidirect
53. #2837C22semidirect
54. #2837C22semidirect
55. #2837C22semidirect
56. #2834C22semidirect
57. #2830C22semidirect
58. #2829C22semidirect
59. #2829C22semidirect
60. #2825C22semidirect
61. #2816C22semidirect
62. #2814C22semidirect
63. #2813C22semidirect
64. #2801C22semidirect
65. #2800C22semidirect
66. #2797C22semidirect
67. #2787C22semidirect
68. #2780C22semidirect
69. #2778C22semidirect
70. #2777C22semidirect
71. #2759C22semidirect
72. #2759C22semidirect
73. #2757C22semidirect
74. #2757C22semidirect
75. #2756C22semidirect
76. #2748C22semidirect
77. #2747C22semidirect
78. #2735C22semidirect
79. #2735C22semidirect
80. #2735C22semidirect
81. #2732C22semidirect
82. #2732C22semidirect
83. #2730C22semidirect
84. #2723C22semidirect
85. #2721C22semidirect
86. #2718C22semidirect
87. #2711C22semidirect
88. #2710C22semidirect
89. #2707C22semidirect
90. #2704C22semidirect
91. #2700C22semidirect
92. #2694C22semidirect
93. #2692C22semidirect
95. #2685C22semidirect
96. #2683C22semidirect
98. #2672C22semidirect
99. #2670C22semidirect
101. #2662C22semidirect
102. #2658C22semidirect
103. #2653C22semidirect
104. #2651C22semidirect
105. #2651C22semidirect
107. #2640C22semidirect
108. #2637C22semidirect
109. #2633C22semidirect
110. #2629C22semidirect
111. #2629C22semidirect
112. #2629C22semidirect
113. #2626C22semidirect
114. #2626C22semidirect
115. #2625C22semidirect
117. #2624C22semidirect
118. #2624C22semidirect
119. #2624C22semidirect
120. #2622C22semidirect
121. #2621C22semidirect
123. #2620C22semidirect
124. #2594C22semidirect
125. #2584C22semidirect
126. #2580C22semidirect
127. #2580C22semidirect
128. #2578C22semidirect
129. #2576C22semidirect
130. #2576C22semidirect
131. #2570C22semidirect
132. #2567C22semidirect
134. #2565C22semidirect
136. #2562C22semidirect
137. #2560C22semidirect
138. #2558C22semidirect
139. #2556C22semidirect
140. #2554C22semidirect
141. #2552C22semidirect
142. #2551C22semidirect
143. #2550C22semidirect
147. #2547C22semidirect
148. #2546C22semidirect
149. #2546C22semidirect
154. #2542C22semidirect
155. #2542C22semidirect
158. #2540C22semidirect
161. #2538C22semidirect
163. #2536C22semidirect
165. #2521C22semidirect
166. #2519C22semidirect
167. #2515C22semidirect
168. #2514C22semidirect
169. #2513C22semidirect
170. #2512C22semidirect
171. #2512C22semidirect
172. #2506C22semidirect
174. #2497C22semidirect
175. #2497C22semidirect
176. #2494C22semidirect
177. #2494C22semidirect
178. #2494C22semidirect
179. #2494C22semidirect
180. #2492C22semidirect
183. #2491C22semidirect
187. #2490C22semidirect
188. #2489C22semidirect
189. #2485C22semidirect
190. #2485C22semidirect
191. #2485C22semidirect
192. #2480C22semidirect
193. #2479C22semidirect
194. #2477C22semidirect
195. #2474C22semidirect
198. #2472C22semidirect
199. #2472C22semidirect
200. #2471C22semidirect
201. #2461C22semidirect
202. #2458C22semidirect
203. #2457C22semidirect
205. #2454C22semidirect
206. #2454C22semidirect
208. #2452C22semidirect
210. #2448C22semidirect
211. #2448C22semidirect
212. #2448C22semidirect
213. #2448C22semidirect
214. #2441C22semidirect
215. #2441C22semidirect
216. #2440C22semidirect
217. #2439C22semidirect
218. #2437C22semidirect
222. #2432C22semidirect
223. #2432C22semidirect
224. #2429C22semidirect
225. #2429C22semidirect
226. #2429C22semidirect
227. #2429C22semidirect
229. #2427C22semidirect
231. #2426C22semidirect
232. #2426C22semidirect
233. #2426C22semidirect
234. #2423C22semidirect
235. #2423C22semidirect
238. #2422C22semidirect
241. #2417C22semidirect
242. #2417C22semidirect
244. #2414C22semidirect
245. #2411C22semidirect
246. #2411C22semidirect
251. #2407C22semidirect
252. #2401C22semidirect
253. #2396C22semidirect
254. #2396C22semidirect
255. #2392C22semidirect
256. #2392C22semidirect
257. #2369C22semidirect
258. #2367C22semidirect
259. #2367C22semidirect
261. #2365C22semidirect
263. #2363C22semidirect
264. #2360C22semidirect
266. #2354C22semidirect
267. Q8×C4⋊C4C22semidirect
268. #2347C22semidirect
269. #2342C22semidirect
270. #2341C22semidirect
274. #2334C22semidirect
275. #2331C22semidirect
278. C4×C4⋊Q8C22semidirect
279. C4×C4⋊Q8C22semidirect
280. C4×#125C22semidirect
282. C4×#124C22semidirect
283. C4×C22⋊Q8C22semidirect
284. C4×C22⋊Q8C22semidirect
285. C4×#123C22semidirect
290. #2293C22semidirect
291. #2293C22semidirect
293. #2290C22semidirect
294. #2285C22semidirect
295. #2283C22semidirect
296. C42×Q8C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#595622
#594342
#590942
#590522
#590352
#548902
#544332
#531522
#530622
#530432
#529802
#525562
#426192
#425742
#424862
#424432
#409062
#397812
#395982
#393512
#392152
#391582
#389102
#382022
#377732
#376332
#376272
#376192
#374922
#363002
#362892
#361502
#349292
#349192
#349172