Finite Group Databasebeta

← #8195247

Subgroups — #8195247

Order 512.

5411 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#59863C211yesmaximal, characteristic, complemented
2#59812C212yesmaximal, complemented
3#59641C211yesmaximal, characteristic, complemented
4#59421C211yesmaximal, characteristic, complemented
5#59412C211yesmaximal, characteristic, complemented
6#59147C212yesmaximal, complemented
7#57547C214yesmaximal, complemented
8#54952C214yesmaximal, complemented
9#53046C212yesmaximal, complemented
10#53000C212yesmaximal, complemented
11#49827C214yesmaximal, complemented
12#47410C214yesmaximal, complemented
13#45718C212yesmaximal, complemented
14#45514C212yesmaximal, complemented
15#45292C212yesmaximal, complemented
16#44899C212yesmaximal, complemented
17#42890C212yesmaximal, complemented
18#42627C212yesmaximal, complemented
19#42463C212yesmaximal, complemented
20#42432C212yesmaximal, complemented
21#40173C212yesmaximal, complemented
22#40007C212yesmaximal, complemented
23#39747C211yesmaximal, characteristic, complemented
24#39468C211yesmaximal, characteristic, complemented
25#39342C211yesmaximal, characteristic, complemented
26#39237C212yesmaximal, complemented
27#39135C212yesmaximal, complemented
28#38978C211yesmaximal, characteristic, complemented
29#36468C211yesmaximal, characteristic, complemented
30#36444C211yesmaximal, characteristic, complemented
31#36410C211yesmaximal, characteristic, complemented
32D4×#124C211yesmaximal, characteristic, complemented
33#35288C211yesmaximal, characteristic, complemented
34#34977C211yesmaximal, characteristic, complemented
35#34969C211yesmaximal, characteristic, complemented
36C2×#559C2212yescomplemented
37C2×#556C2211yescharacteristic, complemented
38C2×#553C2212yes—
39C2×#550C2211yescharacteristic
40C2×D4×Q8C2211yescharacteristic
41C2×#548C2212yescomplemented
42C2×#546C2212yes—
43C2×D42C2211yescharacteristic
44C2×#535C2212yes—
45C2×#532C2211yescharacteristic
46C22×#124C2212yes—
47C2×C4×#41C2211yescharacteristic, complemented
48#2859C2211yescharacteristic, complemented
49#2858C2211yescharacteristic
50#2857C2211yescharacteristic, complemented
51#2857C2212yescomplemented
52#2856C2211yescharacteristic
53#2854C2212yescomplemented
54#2854C2212yescomplemented
55#2850C2212yes—
56#2832C2214yescomplemented
57#2828C2214yescomplemented
58#2825C2214yescomplemented
59#2824C2214yescomplemented
60#2819C2214yescomplemented
61#2813C2214yescomplemented
62#2812C2214yescomplemented
63#2808C2214yescomplemented
64#2800C2214yescomplemented
65#2798C2214yescomplemented
66#2797C2214yescomplemented
67#2779C2214yescomplemented
68#2777C2214yescomplemented
69#2772C2214yescomplemented
70#2763C2214yescomplemented
71#2759C2214yescomplemented
72#2753C2214yescomplemented
73#2753C2214yescomplemented
74#2751C2214yescomplemented
75#2741C2214yescomplemented
76#2736C2214yescomplemented
77#2733C2214yescomplemented
78#2733C2214yescomplemented
79#2730C2214yescomplemented
80#2730C2214yescomplemented
81#2717C2214yescomplemented
82#2715C2214yescomplemented
83#2714C2214yescomplemented
84#2714C2214yescomplemented
85#2712C2214yescomplemented
86#2710C2214yescomplemented
87#2710C2214yescomplemented
88#2710C2214yescomplemented
89#2709C2214yescomplemented
90#2708C2214yescomplemented
91#2703C2214yescomplemented
92#2702C2214yescomplemented
93#2696C2214yescomplemented
94#2696C2214yescomplemented
95#2696C2214yescomplemented
96#2691C2214yescomplemented
97#2686C2214yescomplemented
98#2685C2214yescomplemented
99#2678C2214yes—
100#2678C2214yescomplemented
101#2678C2214yescomplemented
102#2673C2214yescomplemented
103#2673C2214yescomplemented
104#2670C2214yes—
105#2669C2214yes—
106#2668C2214yescomplemented
107#2657C2212yescomplemented
108#2649C2214yescomplemented
109#2648C2214yescomplemented
110#2644C2212yes—
111#2644C2212yescomplemented
112#2631C2214yescomplemented
113#2631C2214yescomplemented
114#2624C2212yescomplemented
115#2622C2214yescomplemented
116#2617C2214yescomplemented
117#2616C2212yescomplemented
118#2615C2212yes—
119#2610C2212yescomplemented
120#2610C2212yescomplemented
121#2602C2214yescomplemented
122#2592C2212yes—
123#2592C2212yescomplemented
124#2589C2214yescomplemented
125#2582C2211yescharacteristic, complemented
126#2580C2212yescomplemented
127#2567C2211yescharacteristic, complemented
128#2563C2212yescomplemented
129#2563C2211yescharacteristic, complemented
130#2562C2212yescomplemented
131#2560C2214yescomplemented
132#2559C2214yescomplemented
133#2557C2214yescomplemented
134#2553C2214yescomplemented
135#2548C2211yescharacteristic
136#2548C2212yes—
137#2548C2211yescharacteristic
138#2548C2212yescomplemented
139#2547C2211yescharacteristic
140#2547C2212yescomplemented
141#2547C2211yescharacteristic, complemented
142#2544C2212yes—
143#2544C2212yescomplemented
144#2541C2211yescharacteristic
145#2541C2211yescharacteristic
146#2541C2212yes—
147#2539C2214yescomplemented
148#2538C2211yescharacteristic
149#2537C2211yescharacteristic
150#2537C2211yescharacteristic
151#2537C2212yes—
152#2535C2212yes—
153#2535C2212yes—
154#2535C2214yescomplemented
155#2534C2214yescomplemented
156#2530C2212yescomplemented
157#2527C2212yescomplemented
158#2521C2214yescomplemented
159#2518C2214yescomplemented
160#2513C2214yescomplemented
161#2513C2212yescomplemented
162#2511C2211yescharacteristic, complemented
163#2509C2212yescomplemented
164#2509C2211yescharacteristic, complemented
165#2501C2212yescomplemented
166#2500C2211yescharacteristic
167#2500C2211yescharacteristic, complemented
168#2499C2212yescomplemented
169#2496C2212yescomplemented
170#2495C2212yescomplemented
171#2494C2211yescharacteristic, complemented
172#2492C2212yescomplemented
173#2492C2211yescharacteristic, complemented
174#2491C2212yes—
175#2491C2212yes—
176#2491C2212yes—
177#2491C2212yescomplemented
178#2490C2212yescomplemented
179#2489C2212yescomplemented
180#2485C2212yescomplemented
181#2485C2212yescomplemented
182#2485C2212yescomplemented
183#2480C2214yescomplemented
184#2477C2212yescomplemented
185#2476C2214yescomplemented
186#2472C2214yes—
187#2472C2214yes—
188#2472C2214yescomplemented
189#2470C2212yescomplemented
190#2464C2214yescomplemented
191#2459C2214yescomplemented
192#2457C2214yescomplemented
193#2455C2214yescomplemented
194#2454C2212yescomplemented
195#2452C2211yescharacteristic
196#2451C2212yescomplemented
197#2448C2212yes—
198#2448C2212yescomplemented
199#2448C2212yescomplemented
200#2447C2211yescharacteristic
201#2447C2212yescomplemented
202#2445C2212yescomplemented
203#2445C2212yescomplemented
204#2445C2214yescomplemented
205#2441C2212yescomplemented
206#2439C2212yescomplemented
207#2436C2212yes—
208#2436C2212yescomplemented
209#2435C2212yes—
210#2433C2212yes—
211#2433C2212yes—
212#2431C2211yescharacteristic
213#2431C2212yescomplemented
214#2431C2211yescharacteristic, complemented
215#2428C2212yes—
216#2428C2212yescomplemented
217#2427C2212yes—
218#2427C2211yescharacteristic
219#2427C2212yescomplemented
220#2427C2212yescomplemented
221#2427C2214yescomplemented
222#2427C2212yescomplemented
223#2426C2212yes—
224#2426C2212yescomplemented
225#2426C2212yescomplemented
226#2424C2214yes—
227#2422C2212yes—
228#2422C2211yescharacteristic
229#2422C2212yescomplemented
230#2421C2212yescomplemented
231#2420C2212yescomplemented
232#2418C2214yescomplemented
233#2417C2212yescomplemented
234#2415C2214yescomplemented
235#2415C2212yescomplemented
236#2414C2212yes—
237#2414C2212yescomplemented
238#2414C2212yescomplemented
239#2414C2212yescomplemented
240#2414C2212yescomplemented
241#2414C2212yescomplemented
242#2412C2214yescomplemented
243#2408C2212yes—
244#2408C2212yes—
245#2408C2212yes—
246#2407C2212yes—
247#2407C2212yescomplemented
248#2407C2212yescomplemented
249#2407C2212yescomplemented
250#2401C2212yescomplemented
251#2398C2212yescomplemented
252#2388C2212yescomplemented
253#2388C2212yescomplemented
254#2376C2214yescomplemented
255#2367C2212yescomplemented
256#2363C2212yes—
257#2363C2212yescomplemented
258#2361C2212yescomplemented
259#2358C2214yescomplemented
260#2355C2212yescomplemented
261#2354C2211yescharacteristic
262#2354C2211yescharacteristic, complemented
263#2354C2212yescomplemented
264#2352C2212yescomplemented
265Q8×C4⋊C4C2211yescharacteristic, complemented
266D4×C4⋊C4C2211yescharacteristic, complemented
267Q8×C22⋊C4C2212yescomplemented
268Q8×C22⋊C4C2212yescomplemented
269D4×C22⋊C4C2212yes—
270D4×C22⋊C4C2212yes—
271D4×C22⋊C4C2212yes—
272#2335C2214yescomplemented
273#2326C2212yescomplemented
274#2324C2212yescomplemented
275#2321C2214yescomplemented
276#2320C2212yescomplemented
277#2319C2212yescomplemented
278#2311C2212yescomplemented
279C4×C4⋊Q8C2211yescharacteristic, complemented
280C4×C4⋊Q8C2211yescharacteristic, complemented
281C4×#127C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#127C2211yescharacteristic, complemented
284C4×#124C2211yescharacteristic
285C4×#124C2211yescharacteristic
286C4×#124C2211yescharacteristic, complemented
287C4×C22⋊Q8C2212yescomplemented
288C4×C22⋊Q8C2211yescharacteristic, complemented
289C4×#123C2212yescomplemented
290C4×#121C2211yescharacteristic
291C4×#121C2212yes—
292C4×#121C2212yescomplemented
293C4×#121C2212yescomplemented
294C4×#121C2212yescomplemented
295#2297C2212yescomplemented
296#2295C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic
298C4×#117C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×Q8C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305#559—48no—
306#556—44no—
307#553—48no—
308#550—44no—
309D4×Q8—44no—
310#548—48no—
311#546—48no—
312D42—44no—
313#535—48no—
314#532—44no—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2312yes—
319C2×#127C2311yescharacteristic
320C2×#127C2311yescharacteristic
321C2×#127C2311yescharacteristic
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2314yes—
325C2×#127C2311yescharacteristic
326C2×#126C2314yes—
327C2×#126C2314yes—
328C2×#125C2312yes—
329C2×#124—48no—
330C2×#124C2312yes—
331C2×#124C2311yescharacteristic
332C2×#124C2311yescharacteristic
333C2×#124C2311yescharacteristic
334C2×#124C2314yes—
335C2×#124C2314yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2314yes—
343C2×#124C2314yes—
344C2×#124C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2311yescharacteristic
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2312yes—
373C2×#121C2311yescharacteristic
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2311yescharacteristic
380C2×#121C2314yes—
381C2×#121C2312yes—
382C2×#120C2314yes—
383C2×#120C2314yes—
384C2×#120C2314yes—
385C2×#120C2314yes—
386C2×#120C2314yes—
387C2×#120C2314yes—
388C4×#41—44no—
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2311yescharacteristic
391C2×C4×Q8C2311yescharacteristic
392C2×C4×Q8C2312yes—
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2312yes—
396C2×C4×D4C2311yescharacteristic
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2311yescharacteristic
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
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×D4C2314yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2314yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×#117C2312yes—
421C2×#117C2311yescharacteristic
422C2×#117C2312yes—
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2311yescharacteristic
426C2×#117C2311yescharacteristic
427C22×C4⋊C4C2312yes—
428C22×C22⋊C4C2314yes—
429C22×C22⋊C4C2314yes—
430C22×C22⋊C4C2314yes—
431C22×C42C2311yescharacteristic
432C22×C42C2312yes—
433C22×C42C2312yes—
434#401C2312yes—
435#400C2314yes—
436#400C2314yes—
437#400C2312yes—
438#400C2314yes—
439#400C2312yes—
440#400C2314yes—
441#400C2312yes—
442#400C2312yes—
443#400C2312yes—
444#399C2314yes—
445#399C2314yes—
446#399C2314yes—
447#399C2314yes—
448#398C2314yes—
449#398C2314yes—
450#397C2314yes—
451#397C2314yes—
452#397C2314yes—
453#397C2314yes—
454#397C2314yes—
455#397C2314yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2314yes—
468#397C2312yes—
469#397C2312yes—
470#397C2312yes—
471#397C2312yes—
472#397C2314yes—
473#397C2314yes—
474#396C2314yes—
475#396C2314yes—
476#396C2314yes—
477#396C2314yes—
478#396C2312yes—
479#396C2314yes—
480#395C2312yes—
481#395C2312yes—
482#395C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2314yes—
498#394C2314yes—
499#394C2312yes—
500#394C2312yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2312yes—
505#394C2312yes—
506#394C2314yes—
507#394C2312yes—
508#394C2312yes—
509#394C2314yes—
510#394C2314yes—
511#394C2312yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2314yes—
523#393C2312yes—
524#393C2312yes—
525#393C2312yes—
526#393C2314yes—
527#393C2314yes—
528#393C2314yes—
529#393C2314yes—
530#393C2314yes—
531#393C2312yes—
532#392C2312yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2312yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2312yes—
542#392C2314yes—
543#392C2314yes—
544#392C2312yes—
545#392C2312yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2312yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#391C2314yes—
555#391C2312yes—
556#391C2312yes—
557#391C2314yes—
558#391C2311yescharacteristic
559#391C2311yescharacteristic
560#391C2312yes—
561#391C2312yes—
562#391C2312yes—
563#391C2312yes—
564#391C2314yes—
565#391C2312yes—
566#391C2312yes—
567#391C2314yes—
568#391C2314yes—
569#391C2311yescharacteristic
570#391C2311yescharacteristic
571#391C2311yescharacteristic
572#391C2311yescharacteristic
573#390C2314yes—
574#390C2311yescharacteristic
575#390C2311yescharacteristic
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2311yescharacteristic
582#390C2312yes—
583#390C2312yes—
584#390C2311yescharacteristic
585#390C2314yes—
586#390C2314yes—
587#390C2312yes—
588#390C2312yes—
589#390C2314yes—
590#390C2312yes—
591#390C2314yes—
592#390C2312yes—
593#390C2312yes—
594#390C2314yes—
595#390C2312yes—
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2314yes—
605#390C2312yes—
606#390C2311yescharacteristic
607#390C2314yes—
608#390C2314yes—
609#390C2311yescharacteristic
610#390C2311yescharacteristic
611#390C2312yes—
612#390C2311yescharacteristic
613#389C2311yescharacteristic
614#389C2312yes—
615#389C2312yes—
616#389C2311yescharacteristic
617#389C2312yes—
618#389C2312yes—
619#389C2312yes—
620#389C2312yes—
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2314yes—
630#389C2311yescharacteristic
631#389C2312yes—
632#389C2311yescharacteristic
633#389C2312yes—
634#389C2314yes—
635#389C2312yes—
636#389C2314yes—
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#388C2312yes—
640#388C2312yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#388C2314yes—
654#388C2312yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2312yes—
666#388C2312yes—
667#388C2312yes—
668#388C2312yes—
669#388C2312yes—
670#388C2312yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2312yes—
676#388C2312yes—
677#388C2314yes—
678#388C2312yes—
679#388C2312yes—
680#387C2314yes—
681#387C2314yes—
682#387C2314yes—
683#387C2314yes—
684#387C2312yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2312yes—
690#387C2312yes—
691#387C2312yes—
692#387C2312yes—
693#387C2312yes—
694#387C2312yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2312yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2312yes—
713#386C2312yes—
714#386C2312yes—
715#386C2314yes—
716#386C2314yes—
717#386C2312yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2312yes—
724#386C2314yes—
725#385C2314yes—
726#385C2312yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2312yes—
734#385C2314yes—
735#385C2312yes—
736#385C2312yes—
737#384C2311yescharacteristic
738#384C2311yescharacteristic
739#384C2311yescharacteristic
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#384C2312yes—
743#383C2314yes—
744#382C2311yescharacteristic
745#382C2311yescharacteristic
746#382C2314yes—
747#382C2314yes—
748#382C2312yes—
749#382C2311yescharacteristic
750#381C2314yes—
751#381C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2311yescharacteristic
762#380C2312yes—
763#380C2312yes—
764#380C2312yes—
765#380C2314yes—
766#380C2312yes—
767#380C2314yes—
768#380C2312yes—
769#380C2312yes—
770#380C2314yes—
771#380C2314yes—
772#380C2312yes—
773#380C2314yes—
774#380C2311yescharacteristic
775#380C2312yes—
776#379C2314yes—
777#379C2314yes—
778#379C2314yes—
779#379C2314yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2312yes—
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2312yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2312yes—
803C4×C22⋊C4C2312yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817#376C2311yescharacteristic
818#376C2312yes—
819#376C2311yescharacteristic
820C43C2311yescharacteristic
821C43C2311yescharacteristic
822C25C2414yes—
823C2×#41—24no—
824C2×#41—44no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—42no—
828C2×#41—42no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C22×Q8—28no—
833C22×Q8—44no—
834C22×Q8—44no—
835C22×Q8C2412yes—
836C22×Q8C2411yescharacteristic
837C22×Q8C2411yescharacteristic
838C22×Q8C2414yes—
839C22×Q8C2412yes—
840C22×Q8C2412yes—
841C22×D4—28no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2411yescharacteristic
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2412yes—
862C22×D4C2414yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2412yes—
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2411yescharacteristic
877C23×C4C2412yes—
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2414yes—
882C23×C4C2412yes—
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2414yes—
886C23×C4C2414yes—
887C23×C4C2414yes—
888C4⋊Q8—24no—
889C4⋊Q8—42no—
890C4⋊Q8—42no—
891C4⋊Q8—44no—
892#127—24no—
893#127—42no—
894#127—42no—
895#127—42no—
896#127—44no—
897#127—44no—
898#127—48no—
899#126—48no—
900#126—48no—
901#125—44no—
902#124—24no—
903#124—28no—
904#124—24no—
905#124—24no—
906#124—44no—
907#124—48no—
908#124—44no—
909#124—44no—
910#124—44no—
911#124—48no—
912#124—44no—
913#124—44no—
914#124—48no—
915#124—48no—
916#124—48no—
917#123—44no—
918#123—48no—
919#123—48no—
920#123—48no—
921#123—48no—
922#123—48no—
923#123—48no—
924C22⋊Q8—44no—
925C22⋊Q8—48no—
926C22⋊Q8—42no—
927C22⋊Q8—44no—
928C22⋊Q8—44no—
929C22⋊Q8—48no—
930C22⋊Q8—44no—
931C22⋊Q8—44no—
932#121—24no—
933#121—28no—
934#121—28no—
935#121—44no—
936#121—44no—
937#121—44no—
938#121—48no—
939#121—48no—
940#121—48no—
941#121—44no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—42no—
946#121—42no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—48no—
953#121—44no—
954#120—48no—
955#120—48no—
956#120—48no—
957#120—48no—
958#120—48no—
959#120—48no—
960C4×Q8—28no—
961C4×Q8—24no—
962C4×Q8—24no—
963C4×Q8—44no—
964C4×Q8—44no—
965C4×Q8—42no—
966C4×Q8—44no—
967C4×D4—24no—
968C4×D4—24no—
969C4×D4—24no—
970C4×D4—24no—
971C4×D4—24no—
972C4×D4—44no—
973C4×D4—48no—
974C4×D4—42no—
975C4×D4—42no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—44no—
983C4×D4—44no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—48no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—48no—
991#117—42no—
992#117—44no—
993#117—42no—
994#117—42no—
995#117—44no—
996#117—44no—
997#117—44no—
998C2×C4⋊C4—44no—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2411yescharacteristic
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C22⋊C4—48no—
1051C2×C22⋊C4—48no—
1052C2×C22⋊C4—48no—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2411yescharacteristic
1087C2×C22⋊C4C2411yescharacteristic
1088C2×C22⋊C4C2411yescharacteristic
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C42—24no—
1131C2×C42—44no—
1132C2×C42—44no—
1133C2×C42C2411yescharacteristic
1134C2×C42C2411yescharacteristic
1135C2×C42C2411yescharacteristic
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139C2×C42C2414yes—
1140C2×C42C2412yes—
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2411yescharacteristic
1147C2×C42C2411yescharacteristic
1148C2×C42C2411yescharacteristic
1149C2×C42C2411yescharacteristic
1150C2×C42C2412yes—
1151C2×C42C2414yes—
1152C2×C42C2414yes—
1153C2×C42C2414yes—
1154C2×C42C2411yescharacteristic
1155C2×C42C2411yescharacteristic
1156C2×C42C2411yescharacteristic
1157C2×C42C2412yes—
1158C2×C42C2414yes—
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2411yescharacteristic
1162#95C2411yescharacteristic
1163#95C2411yescharacteristic
1164#95C2411yescharacteristic
1165#95C2411yescharacteristic
1166#95C2411yescharacteristic
1167#95C2411yescharacteristic
1168#95C2411yescharacteristic
1169#95C2411yescharacteristic
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2412yes—
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2412yes—
1179#95C2412yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2414yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2414yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2414yes—
1200#95C2412yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2414yes—
1220C24—28no—
1221C24—44no—
1222C24—44no—
1223C24—44no—
1224C24—44no—
1225C24—44no—
1226C24—44no—
1227C24C2512yes—
1228C24C2514yes—
1229C24C2512yes—
1230C24C2512yes—
1231C24C2511yescharacteristic
1232C24C2512yes—
1233#41—416no—
1234#41—816no—
1235#41—816no—
1236C2×Q8—22no—
1237C2×Q8—22no—
1238C2×Q8—24no—
1239C2×Q8—22no—
1240C2×Q8—24no—
1241C2×Q8—28no—
1242C2×Q8—22no—
1243C2×Q8—24no—
1244C2×Q8—22no—
1245C2×Q8—42no—
1246C2×Q8—44no—
1247C2×Q8—42no—
1248C2×Q8—42no—
1249C2×Q8—42no—
1250C2×Q8—42no—
1251C2×Q8—44no—
1252C2×Q8—42no—
1253C2×Q8—816no—
1254C2×Q8H(5,𝔽2)14yes—
1255C2×D4—28no—
1256C2×D4—24no—
1257C2×D4—28no—
1258C2×D4—28no—
1259C2×D4—22no—
1260C2×D4—22no—
1261C2×D4—22no—
1262C2×D4—22no—
1263C2×D4—22no—
1264C2×D4—24no—
1265C2×D4—24no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—22no—
1269C2×D4—24no—
1270C2×D4—22no—
1271C2×D4—24no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—22no—
1277C2×D4—22no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—42no—
1284C2×D4—44no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—44no—
1288C2×D4—42no—
1289C2×D4—42no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—44no—
1294C2×D4—44no—
1295C2×D4—44no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—44no—
1302C2×D4—42no—
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—42no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—44no—
1322C2×D4—42no—
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—816no—
1333C2×D4—816no—
1334C2×D4H(5,𝔽2)14yes—
1335C22×C4—24no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—22no—
1355C22×C4—24no—
1356C22×C4—22no—
1357C22×C4—28no—
1358C22×C4—24no—
1359C22×C4—42no—
1360C22×C4—41no—
1361C22×C4—42no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—44no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—42no—
1371C22×C4—42no—
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×C4C2511yescharacteristic
1381C22×C4C2512yes—
1382C22×C4C2511yescharacteristic
1383C22×C4C2512yes—
1384C22×C4C2512yes—
1385C22×C4C2512yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C22×C4C2512yes—
1389C22×C4C2511yescharacteristic
1390C22×C4C2511yescharacteristic
1391C22×C4C2514yes—
1392C22×C4C2511yescharacteristic
1393C22×C4C2512yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2514yes—
1400C22×C4C2512yes—
1401C22×C4C2514yes—
1402C22×C4C2511yescharacteristic
1403C22×C4C2512yes—
1404C22×C4C2511yescharacteristic
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C4⋊C4—22no—
1410C4⋊C4—24no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—24no—
1414C4⋊C4—22no—
1415C4⋊C4—24no—
1416C4⋊C4—22no—
1417C4⋊C4—24no—
1418C4⋊C4—22no—
1419C4⋊C4—22no—
1420C4⋊C4—22no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—28no—
1424C4⋊C4—24no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—22no—
1429C4⋊C4—24no—
1430C4⋊C4—22no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—44no—
1434C4⋊C4—41no—
1435C4⋊C4—42no—
1436C4⋊C4—42no—
1437C4⋊C4—42no—
1438C4⋊C4—42no—
1439C4⋊C4—42no—
1440C4⋊C4—42no—
1441C4⋊C4—44no—
1442C4⋊C4—42no—
1443C4⋊C4—42no—
1444C4⋊C4—44no—
1445C4⋊C4—42no—
1446C4⋊C4—44no—
1447C4⋊C4—44no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—42no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—42no—
1454C4⋊C4—42no—
1455C4⋊C4—44no—
1456C4⋊C4—42no—
1457C4⋊C4—44no—
1458C4⋊C4—44no—
1459C4⋊C4—42no—
1460C22⋊C4—24no—
1461C22⋊C4—28no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—28no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—28no—
1469C22⋊C4—28no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—22no—
1477C22⋊C4—28no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—28no—
1481C22⋊C4—24no—
1482C22⋊C4—42no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—41no—
1489C22⋊C4—41no—
1490C22⋊C4—41no—
1491C22⋊C4—42no—
1492C22⋊C4—42no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4—42no—
1497C22⋊C4—42no—
1498C22⋊C4—42no—
1499C22⋊C4—42no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—42no—
1506C22⋊C4—42no—
1507C22⋊C4—42no—
1508C22⋊C4—44no—
1509C22⋊C4—42no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—42no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C42—22no—
1538C42—22no—
1539C42—22no—
1540C42—22no—
1541C42—24no—
1542C42—24no—
1543C42—22no—
1544C42—22no—
1545C42—28no—
1546C42—22no—
1547C42—24no—
1548C42—24no—
1549C42—22no—
1550C42—22no—
1551C42—22no—
1552C42—22no—
1553C42—22no—
1554C42—42no—
1555C42—42no—
1556C42—42no—
1557C42—42no—
1558C42—41no—
1559C42—41no—
1560C42—41no—
1561C42—44no—
1562C42—44no—
1563C42—44no—
1564C42—44no—
1565C42H(5,𝔽2)14yes—
1566C23—22no—
1567C23—22no—
1568C23—22no—
1569C23—22no—
1570C23—22no—
1571C23—22no—
1572C23—22no—
1573C23—24no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—21no—
1580C23—22no—
1581C23—22no—
1582C23—24no—
1583C23—21no—
1584C23—24no—
1585C23—22no—
1586C23—21no—
1587C23—21no—
1588C23—24no—
1589C23—24no—
1590C23—22no—
1591C23—24no—
1592C23—22no—
1593C23—22no—
1594C23—21no—
1595C23—22no—
1596C23—22no—
1597C23—21no—
1598C23—22no—
1599C23—22no—
1600C23—22no—
1601C23—24no—
1602C23—22no—
1603C23—21no—
1604C23—22no—
1605C23—22no—
1606C23—22no—
1607C23—88no—
1608C23—88no—
1609C23—88no—
1610C23—88no—
1611C23—88no—
1612C23—164no—
1613C23—164no—
1614C23C2×H(5,𝔽2)14yes—
1615C23C2611yescharacteristic
1616Q8—28no—
1617Q8—48no—
1618Q8—44no—
1619Q8—88no—
1620Q8—84no—
1621Q8—84no—
1622D4—28no—
1623D4—48no—
1624D4—44no—
1625D4—48no—
1626D4—44no—
1627D4—44no—
1628D4—48no—
1629D4—84no—
1630D4—84no—
1631D4—84no—
1632D4—88no—
1633D4—84no—
1634D4—88no—
1635D4—88no—
1636D4—84no—
1637D4—84no—
1638D4—88no—
1639D4—84no—
1640D4—88no—
1641D4—84no—
1642D4—84no—
1643D4—84no—
1644D4—88no—
1645D4—164no—
1646D4—164no—
1647D4—164no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—21no—
1651C2×C4—21no—
1652C2×C4—21no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—22no—
1656C2×C4—22no—
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—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—24no—
1671C2×C4—21no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—22no—
1676C2×C4—24no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—24no—
1688C2×C4—22no—
1689C2×C4—24no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—24no—
1704C2×C4—24no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—24no—
1709C2×C4—22no—
1710C2×C4—24no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—21no—
1725C2×C4—44no—
1726C2×C4—48no—
1727C2×C4—48no—
1728C2×C4—44no—
1729C2×C4—48no—
1730C2×C4—48no—
1731C2×C4—48no—
1732C2×C4—44no—
1733C2×C4—84no—
1734C2×C4—88no—
1735C2×C4—84no—
1736C2×C4—84no—
1737C2×C4—88no—
1738C2×C4—164no—
1739C2×C4—164no—
1740C2×C4C2×H(5,𝔽2)14yes—
1741C2×C4C2×H(5,𝔽2)12yes—
1742C2×C4C2×H(5,𝔽2)12yes—
1743C2×C4C2×H(5,𝔽2)12yes—
1744C2×C4C2×H(5,𝔽2)12yes—
1745C2×C4C2×H(5,𝔽2)12yes—
1746C2×C4#58512yes—
1747C2×C4#58512yes—
1748C2×C4#58512yes—
1749C2×C4#58512yes—
1750C22—24no—
1751C22—24no—
1752C22—24no—
1753C22—42no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—41no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22—44no—
1762C22—42no—
1763C22—44no—
1764C22—42no—
1765C22—41no—
1766C22—42no—
1767C22—42no—
1768C22—42no—
1769C22—42no—
1770C22—41no—
1771C22—44no—
1772C22—42no—
1773C22—44no—
1774C22—41no—
1775C22—42no—
1776C22—42no—
1777C22—42no—
1778C22—42no—
1779C22—42no—
1780C22—41no—
1781C22—44no—
1782C22—41no—
1783C22—42no—
1784C22—44no—
1785C22—42no—
1786C22—42no—
1787C22—42no—
1788C22—41no—
1789C22—42no—
1790C22—44no—
1791C22—42no—
1792C22—1616no—
1793C22C22×H(5,𝔽2)11yescharacteristic
1794C22C22×H(5,𝔽2)11yescharacteristic
1795C22C22×H(5,𝔽2)11yescharacteristic
1796C22C2×#58511yescharacteristic
1797C22C2×#58511yescharacteristic
1798C22C2×#58511yescharacteristic
1799C22C2×#58511yescharacteristic
1800C4—22no—
1801C4—22no—
1802C4—22no—
1803C4—24no—
1804C4—42no—
1805C4—42no—
1806C4—41no—
1807C4—42no—
1808C4—42no—
1809C4—41no—
1810C4—42no—
1811C4—41no—
1812C4—44no—
1813C4—42no—
1814C4—41no—
1815C4—41no—
1816C4—44no—
1817C4—41no—
1818C4—42no—
1819C4—42no—
1820C4—41no—
1821C4—41no—
1822C4—42no—
1823C4—42no—
1824C4—41no—
1825C4—42no—
1826C4—44no—
1827C4#354214yes—
1828C4#355814yes—
1829C2—44no—
1830C2—81no—
1831C2—82no—
1832C2—82no—
1833C2—84no—
1834C2—82no—
1835C2C2×#354211yescharacteristic
1836C2C2×#355811yescharacteristic
1837C2#6283011yescharacteristic
1838C2#6301411yescharacteristic
1839C2#6302111yescharacteristic
1840C2#6302211yescharacteristic
1841C2#6302911yescharacteristic
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. #59863C2semidirect
2. #59812C2semidirect
3. #59641C2semidirect
4. #59421C2semidirect
5. #59412C2semidirect
6. #59147C2semidirect
7. #57547C2semidirect
8. #54952C2semidirect
9. #53046C2semidirect
10. #53000C2semidirect
11. #49827C2semidirect
12. #47410C2semidirect
13. #45718C2semidirect
14. #45514C2semidirect
15. #45292C2semidirect
16. #44899C2semidirect
17. #42890C2semidirect
18. #42627C2semidirect
19. #42463C2semidirect
20. #42432C2semidirect
21. #40173C2semidirect
22. #40007C2semidirect
23. #39747C2semidirect
24. #39468C2semidirect
25. #39342C2semidirect
26. #39237C2semidirect
27. #39135C2semidirect
28. #38978C2semidirect
29. #36468C2semidirect
30. #36444C2semidirect
31. #36410C2semidirect
32. D4×#124C2semidirect
33. #35288C2semidirect
34. #34977C2semidirect
35. #34969C2semidirect
36. C2×#559C22semidirect
37. C2×#556C22semidirect
41. C2×#548C22semidirect
47. C2×C4×#41C22semidirect
48. #2859C22semidirect
50. #2857C22semidirect
51. #2857C22semidirect
53. #2854C22semidirect
54. #2854C22semidirect
56. #2832C22semidirect
57. #2828C22semidirect
58. #2825C22semidirect
59. #2824C22semidirect
60. #2819C22semidirect
61. #2813C22semidirect
62. #2812C22semidirect
63. #2808C22semidirect
64. #2800C22semidirect
65. #2798C22semidirect
66. #2797C22semidirect
67. #2779C22semidirect
68. #2777C22semidirect
69. #2772C22semidirect
70. #2763C22semidirect
71. #2759C22semidirect
72. #2753C22semidirect
73. #2753C22semidirect
74. #2751C22semidirect
75. #2741C22semidirect
76. #2736C22semidirect
77. #2733C22semidirect
78. #2733C22semidirect
79. #2730C22semidirect
80. #2730C22semidirect
81. #2717C22semidirect
82. #2715C22semidirect
83. #2714C22semidirect
84. #2714C22semidirect
85. #2712C22semidirect
86. #2710C22semidirect
87. #2710C22semidirect
88. #2710C22semidirect
89. #2709C22semidirect
90. #2708C22semidirect
91. #2703C22semidirect
92. #2702C22semidirect
93. #2696C22semidirect
94. #2696C22semidirect
95. #2696C22semidirect
96. #2691C22semidirect
97. #2686C22semidirect
98. #2685C22semidirect
100. #2678C22semidirect
101. #2678C22semidirect
102. #2673C22semidirect
103. #2673C22semidirect
106. #2668C22semidirect
107. #2657C22semidirect
108. #2649C22semidirect
109. #2648C22semidirect
111. #2644C22semidirect
112. #2631C22semidirect
113. #2631C22semidirect
114. #2624C22semidirect
115. #2622C22semidirect
116. #2617C22semidirect
117. #2616C22semidirect
119. #2610C22semidirect
120. #2610C22semidirect
121. #2602C22semidirect
123. #2592C22semidirect
124. #2589C22semidirect
125. #2582C22semidirect
126. #2580C22semidirect
127. #2567C22semidirect
128. #2563C22semidirect
129. #2563C22semidirect
130. #2562C22semidirect
131. #2560C22semidirect
132. #2559C22semidirect
133. #2557C22semidirect
134. #2553C22semidirect
138. #2548C22semidirect
140. #2547C22semidirect
141. #2547C22semidirect
143. #2544C22semidirect
147. #2539C22semidirect
154. #2535C22semidirect
155. #2534C22semidirect
156. #2530C22semidirect
157. #2527C22semidirect
158. #2521C22semidirect
159. #2518C22semidirect
160. #2513C22semidirect
161. #2513C22semidirect
162. #2511C22semidirect
163. #2509C22semidirect
164. #2509C22semidirect
165. #2501C22semidirect
167. #2500C22semidirect
168. #2499C22semidirect
169. #2496C22semidirect
170. #2495C22semidirect
171. #2494C22semidirect
172. #2492C22semidirect
173. #2492C22semidirect
177. #2491C22semidirect
178. #2490C22semidirect
179. #2489C22semidirect
180. #2485C22semidirect
181. #2485C22semidirect
182. #2485C22semidirect
183. #2480C22semidirect
184. #2477C22semidirect
185. #2476C22semidirect
188. #2472C22semidirect
189. #2470C22semidirect
190. #2464C22semidirect
191. #2459C22semidirect
192. #2457C22semidirect
193. #2455C22semidirect
194. #2454C22semidirect
196. #2451C22semidirect
198. #2448C22semidirect
199. #2448C22semidirect
201. #2447C22semidirect
202. #2445C22semidirect
203. #2445C22semidirect
204. #2445C22semidirect
205. #2441C22semidirect
206. #2439C22semidirect
208. #2436C22semidirect
213. #2431C22semidirect
214. #2431C22semidirect
216. #2428C22semidirect
219. #2427C22semidirect
220. #2427C22semidirect
221. #2427C22semidirect
222. #2427C22semidirect
224. #2426C22semidirect
225. #2426C22semidirect
229. #2422C22semidirect
230. #2421C22semidirect
231. #2420C22semidirect
232. #2418C22semidirect
233. #2417C22semidirect
234. #2415C22semidirect
235. #2415C22semidirect
237. #2414C22semidirect
238. #2414C22semidirect
239. #2414C22semidirect
240. #2414C22semidirect
241. #2414C22semidirect
242. #2412C22semidirect
247. #2407C22semidirect
248. #2407C22semidirect
249. #2407C22semidirect
250. #2401C22semidirect
251. #2398C22semidirect
252. #2388C22semidirect
253. #2388C22semidirect
254. #2376C22semidirect
255. #2367C22semidirect
257. #2363C22semidirect
258. #2361C22semidirect
259. #2358C22semidirect
260. #2355C22semidirect
262. #2354C22semidirect
263. #2354C22semidirect
264. #2352C22semidirect
265. Q8×C4⋊C4C22semidirect
266. D4×C4⋊C4C22semidirect
267. Q8×C22⋊C4C22semidirect
268. Q8×C22⋊C4C22semidirect
272. #2335C22semidirect
273. #2326C22semidirect
274. #2324C22semidirect
275. #2321C22semidirect
276. #2320C22semidirect
277. #2319C22semidirect
278. #2311C22semidirect
279. C4×C4⋊Q8C22semidirect
280. C4×C4⋊Q8C22semidirect
283. C4×#127C22semidirect
286. C4×#124C22semidirect
287. C4×C22⋊Q8C22semidirect
288. C4×C22⋊Q8C22semidirect
289. C4×#123C22semidirect
292. C4×#121C22semidirect
293. C4×#121C22semidirect
294. C4×#121C22semidirect
295. #2297C22semidirect
296. #2295C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#598632
#598122
#596412
#594212
#594122
#591472
#575472
#549522
#530462
#530002
#498272
#474102
#457182
#455142
#452922
#448992
#428902
#426272
#424632
#424322
#401732
#400072
#397472
#394682
#393422
#392372
#391352
#389782
#364682
#364442
#364102
D4×#1242
#352882
#349772
#349692