Finite Group Databasebeta

← #8195363

Subgroups — #8195363

Order 512.

5970 conjugacy classes of subgroups.

The subgroup lattice has 1751 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59236C212yesmaximal, complemented
2#59131C212yesmaximal, complemented
3#59041C212yesmaximal, complemented
4#59001C211yesmaximal, characteristic, complemented
5#58997C211yesmaximal, characteristic, complemented
6#58260C212yesmaximal, complemented
7#54866C214yesmaximal, complemented
8#53414C212yesmaximal, complemented
9#53116C212yesmaximal, complemented
10#52634C212yesmaximal, complemented
11#49728C212yesmaximal, complemented
12#47929C212yesmaximal, complemented
13#46971C214yesmaximal, complemented
14#46225C212yesmaximal, complemented
15#45667C211yesmaximal, characteristic, complemented
16#45479C211yesmaximal, characteristic, complemented
17#44993C212yesmaximal, complemented
18#43419C212yesmaximal, complemented
19#42810C212yesmaximal, complemented
20#42480C212yesmaximal, complemented
21#41048C214yesmaximal, complemented
22#39876C212yesmaximal, complemented
23#39862C212yesmaximal, complemented
24#39120C212yesmaximal, complemented
25#38936C212yesmaximal, complemented
26#38838C214yesmaximal, complemented
27#36518C212yesmaximal, complemented
28#36096C212yesmaximal, complemented
29#35129C211yesmaximal, characteristic, complemented
30#34963C211yesmaximal, characteristic, complemented
31#34937C211yesmaximal, characteristic, complemented
32C2×H(3,𝔽4)C2212yescomplemented
33C2×#554C2212yescomplemented
34C2×#553C2212yescomplemented
35C2×#548C2212yescomplemented
36C2×#546C2212yescomplemented
37C2×D42C2212yes—
38C2×D42C2212yescomplemented
39C2×#532C2212yescomplemented
40C2×#532C2211yescharacteristic, complemented
41C22×#124C2211yescharacteristic, complemented
42C2×#525C2212yescomplemented
43C22×#121C2212yes—
44C2×C4×#41C2211yescharacteristic, complemented
45C22×C4×D4C2211yescharacteristic, complemented
46#2850C2212yescomplemented
47#2850C2212yescomplemented
48#2850C2214yescomplemented
49#2848C2212yescomplemented
50#2847C2212yescomplemented
51#2835C2212yescomplemented
52#2828C2214yescomplemented
53#2824C2214yescomplemented
54#2820C2214yescomplemented
55#2819C2214yescomplemented
56#2813C2214yescomplemented
57#2812C2214yescomplemented
58#2812C2212yescomplemented
59#2785C2214yescomplemented
60#2782C2214yescomplemented
61#2781C2214yescomplemented
62#2781C2214yescomplemented
63#2775C2214yescomplemented
64#2763C2214yescomplemented
65#2756C2214yescomplemented
66#2756C2214yescomplemented
67#2756C2214yescomplemented
68#2753C2214yescomplemented
69#2744C2214yescomplemented
70#2736C2212yescomplemented
71#2731C2214yescomplemented
72#2712C2214yescomplemented
73#2712C2212yescomplemented
74#2711C2214yescomplemented
75#2711C2214yescomplemented
76#2710C2214yescomplemented
77#2706C2214yescomplemented
78#2703C2214yescomplemented
79#2703C2214yescomplemented
80#2692C2214yescomplemented
81#2692C2214yescomplemented
82#2686C2214yescomplemented
83#2685C2214yescomplemented
84#2685C2214yescomplemented
85#2684C2212yes—
86#2684C2212yescomplemented
87#2684C2214yescomplemented
88#2684C2214yescomplemented
89#2684C2214yescomplemented
90#2678C2214yescomplemented
91#2676C2214yescomplemented
92#2676C2214yescomplemented
93#2676C2214yescomplemented
94#2676C2214yescomplemented
95#2675C2212yes—
96#2672C2214yescomplemented
97#2670C2214yescomplemented
98#2670C2214yescomplemented
99#2670C2214yescomplemented
100#2670C2212yescomplemented
101#2669C2212yes—
102#2669C2212yescomplemented
103#2669C2214yescomplemented
104#2669C2214yescomplemented
105#2669C2214yescomplemented
106#2669C2214yescomplemented
107#2641C2212yescomplemented
108#2640C2212yescomplemented
109#2636C2214yescomplemented
110#2635C2214yescomplemented
111#2635C2214yescomplemented
112#2633C2214yescomplemented
113#2632C2212yescomplemented
114#2631C2212yescomplemented
115#2631C2214yescomplemented
116#2626C2214yescomplemented
117#2613C2214yescomplemented
118#2610C2212yescomplemented
119#2610C2212yescomplemented
120#2603C2214yescomplemented
121#2598C2212yescomplemented
122#2598C2212yescomplemented
123#2592C2212yescomplemented
124#2580C2212yescomplemented
125#2572C2214yescomplemented
126#2564C2214yescomplemented
127#2563C2214yescomplemented
128#2562C2212yescomplemented
129#2560C2214yescomplemented
130#2558C2214yescomplemented
131#2555C2214yescomplemented
132#2555C2214yescomplemented
133#2550C2212yescomplemented
134#2548C2211yescharacteristic, complemented
135#2547C2212yescomplemented
136#2547C2211yescharacteristic, complemented
137#2546C2211yescharacteristic, complemented
138#2545C2212yescomplemented
139#2544C2212yescomplemented
140#2544C2212yescomplemented
141#2543C2212yescomplemented
142#2543C2212yescomplemented
143#2543C2214yescomplemented
144#2541C2211yescharacteristic
145#2541C2212yescomplemented
146#2540C2212yes—
147#2540C2212yescomplemented
148#2540C2212yescomplemented
149#2535C2212yescomplemented
150#2535C2214yescomplemented
151#2535C2212yescomplemented
152#2535C2214yescomplemented
153#2532C2214yescomplemented
154#2531C2214yescomplemented
155#2531C2214yescomplemented
156#2526C2214yescomplemented
157#2519C2214yescomplemented
158#2518C2214yescomplemented
159#2492C2212yescomplemented
160#2491C2212yescomplemented
161#2491C2212yescomplemented
162#2491C2212yescomplemented
163#2491C2212yescomplemented
164#2490C2212yescomplemented
165#2489C2212yescomplemented
166#2489C2212yescomplemented
167#2487C2211yescharacteristic, complemented
168#2487C2211yescharacteristic, complemented
169#2482C2212yescomplemented
170#2482C2211yescharacteristic, complemented
171#2482C2211yescharacteristic, complemented
172#2472C2214yescomplemented
173#2464C2214yescomplemented
174#2463C2212yescomplemented
175#2461C2214yescomplemented
176#2461C2214yescomplemented
177#2459C2214yescomplemented
178#2459C2214yescomplemented
179#2459C2214yescomplemented
180#2456C2214yescomplemented
181#2456C2214yescomplemented
182#2443C2214yescomplemented
183#2435C2214yescomplemented
184#2435C2212yescomplemented
185#2433C2212yescomplemented
186#2431C2212yescomplemented
187#2431C2212yescomplemented
188#2431C2214yescomplemented
189#2428C2212yes—
190#2427C2212yescomplemented
191#2426C2212yescomplemented
192#2426C2212yescomplemented
193#2424C2214yescomplemented
194#2424C2214yescomplemented
195#2424C2214yescomplemented
196#2420C2214yescomplemented
197#2420C2214yescomplemented
198#2418C2214yescomplemented
199#2418C2214yescomplemented
200#2417C2212yescomplemented
201#2417C2212yescomplemented
202#2416C2212yescomplemented
203#2416C2212yescomplemented
204#2416C2212yescomplemented
205#2416C2212yescomplemented
206#2414C2212yes—
207#2414C2212yescomplemented
208#2410C2214yescomplemented
209#2410C2214yescomplemented
210#2409C2211yescharacteristic, complemented
211#2409C2211yescharacteristic, complemented
212#2409C2212yescomplemented
213#2408C2211yescharacteristic
214#2408C2211yescharacteristic
215#2408C2212yescomplemented
216#2408C2211yescharacteristic, complemented
217#2408C2214yescomplemented
218#2408C2211yescharacteristic, complemented
219#2408C2214yescomplemented
220#2408C2212yescomplemented
221#2408C2212yescomplemented
222#2407C2212yescomplemented
223#2407C2212yescomplemented
224#2404C2211yescharacteristic
225#2404C2212yescomplemented
226#2404C2211yescharacteristic, complemented
227#2404C2214yescomplemented
228#2403C2212yes—
229#2403C2214yescomplemented
230#2398C2212yescomplemented
231#2397C2212yescomplemented
232#2392C2212yescomplemented
233#2392C2212yescomplemented
234#2379C2212yescomplemented
235#2372C2214yescomplemented
236#2367C2212yescomplemented
237#2366C2212yescomplemented
238#2362C2212yescomplemented
239#2361C2212yescomplemented
240#2358C2214yescomplemented
241#2357C2212yescomplemented
242#2352C2212yescomplemented
243#2346C2212yescomplemented
244#2345C2212yescomplemented
245D4×C22⋊C4C2214yescomplemented
246D4×C22⋊C4C2214yescomplemented
247#2328C2214yescomplemented
248#2321C2212yescomplemented
249#2321C2212yescomplemented
250#2321C2214yescomplemented
251#2321C2214yescomplemented
252#2320C2212yescomplemented
253#2319C2212yescomplemented
254C4×#121C2212yescomplemented
255C4×#121C2212yescomplemented
256C4×#121C2212yescomplemented
257C4×#121C2212yescomplemented
258C4×#121C2214yescomplemented
259C4×#120C2211yescharacteristic
260C4×#120C2211yescharacteristic, complemented
261C4×#120C2211yescharacteristic, complemented
262C4×#120C2211yescharacteristic, complemented
263#2297C2212yescomplemented
264#2283C2211yescharacteristic, complemented
265#2283C2211yescharacteristic, complemented
266C2×C4×C4⋊C4C2211yescharacteristic, complemented
267C22×#41C2311yescharacteristic
268C22×#41C2312yes—
269C22×#41C2312yes—
270C23×Q8C2311yescharacteristic
271C23×D4C2314yes—
272C23×D4C2314yes—
273C23×D4C2311yescharacteristic
274C23×D4C2311yescharacteristic
275C23×D4C2312yes—
276C24×C4C2311yescharacteristic
277C24×C4C2311yescharacteristic
278H(3,𝔽4)—48no—
279#554—48no—
280#553—48no—
281#548—48no—
282#546—48no—
283D42—48no—
284D42—48no—
285#532—44no—
286#532—48no—
287C2×C4⋊Q8C2312yes—
288C2×C4⋊Q8C2312yes—
289C2×C4⋊Q8C2311yescharacteristic
290C2×#127C2312yes—
291C2×#127C2314yes—
292C2×#127C2312yes—
293C2×#127C2311yescharacteristic
294C2×#126C2314yes—
295C2×#125C2312yes—
296C2×#125C2314yes—
297C2×#124—44no—
298C2×#124C2312yes—
299C2×#124C2312yes—
300C2×#124C2312yes—
301C2×#124C2314yes—
302C2×#124C2314yes—
303C2×#124C2312yes—
304C2×#124C2312yes—
305C2×#124C2314yes—
306C2×#124C2312yes—
307C2×#124C2312yes—
308C2×#124C2312yes—
309C2×#124C2314yes—
310C2×#124C2314yes—
311C2×#124C2314yes—
312#525—48no—
313C2×#123C2314yes—
314C2×#123C2314yes—
315C2×#123C2314yes—
316C2×C22⋊Q8C2312yes—
317C2×C22⋊Q8C2314yes—
318C2×C22⋊Q8C2314yes—
319C2×C22⋊Q8C2312yes—
320C2×C22⋊Q8C2312yes—
321C2×C22⋊Q8C2312yes—
322C2×C22⋊Q8C2312yes—
323C2×C22⋊Q8C2314yes—
324C2×#121—48no—
325C2×#121C2312yes—
326C2×#121C2312yes—
327C2×#121C2312yes—
328C2×#121C2312yes—
329C2×#121C2312yes—
330C2×#121C2312yes—
331C2×#121C2312yes—
332C2×#121C2314yes—
333C2×#121C2314yes—
334C2×#121C2314yes—
335C2×#121C2312yes—
336C2×#121C2312yes—
337C2×#121C2312yes—
338C2×#121C2314yes—
339C2×#121C2312yes—
340C2×#121C2312yes—
341C2×#121C2314yes—
342C2×#121C2314yes—
343C2×#121C2314yes—
344C2×#121C2314yes—
345C2×#121C2314yes—
346C2×#121C2314yes—
347C2×#121C2312yes—
348C2×#121C2314yes—
349C2×#120C2312yes—
350C2×#120C2311yescharacteristic
351C2×#120C2311yescharacteristic
352C2×#120C2314yes—
353C2×#120C2314yes—
354C2×#120C2312yes—
355C2×#120C2314yes—
356C2×#120C2314yes—
357C2×#120C2314yes—
358C2×#120C2314yes—
359C2×#120C2314yes—
360C2×#120C2314yes—
361C2×#120C2311yescharacteristic
362C2×#120C2311yescharacteristic
363C2×#120C2314yes—
364C2×#120C2314yes—
365C4×#41—44no—
366C2×C4×Q8C2312yes—
367C2×C4×Q8C2311yescharacteristic
368C2×C4×Q8C2311yescharacteristic
369C2×C4×D4—44no—
370C2×C4×D4C2312yes—
371C2×C4×D4C2312yes—
372C2×C4×D4C2312yes—
373C2×C4×D4C2312yes—
374C2×C4×D4C2314yes—
375C2×C4×D4C2314yes—
376C2×C4×D4C2312yes—
377C2×C4×D4C2311yescharacteristic
378C2×C4×D4C2311yescharacteristic
379C2×C4×D4C2314yes—
380C2×C4×D4C2312yes—
381C2×C4×D4C2314yes—
382C2×C4×D4C2314yes—
383C2×C4×D4C2314yes—
384C2×C4×D4C2314yes—
385C2×C4×D4C2314yes—
386C2×C4×D4C2312yes—
387C2×C4×D4C2311yescharacteristic
388C2×C4×D4C2311yescharacteristic
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2311yescharacteristic
394C2×C4×D4C2311yescharacteristic
395C2×#117C2312yes—
396C2×#117C2311yescharacteristic
397C2×#117C2311yescharacteristic
398C2×#117C2311yescharacteristic
399C22×C4⋊C4C2312yes—
400C22×C4⋊C4C2312yes—
401C22×C4⋊C4C2311yescharacteristic
402C22×C22⋊C4C2312yes—
403C22×C22⋊C4C2314yes—
404C22×C22⋊C4C2314yes—
405C22×C22⋊C4C2311yescharacteristic
406C22×C22⋊C4C2312yes—
407C22×C22⋊C4C2311yescharacteristic
408C22×C42C2311yescharacteristic
409C22×C42C2311yescharacteristic
410C22×C42C2311yescharacteristic
411C22×C42C2312yes—
412#400C2314yes—
413#400C2314yes—
414#400C2312yes—
415#400C2314yes—
416#400C2314yes—
417#400C2312yes—
418#399C2314yes—
419#399C2312yes—
420#399C2314yes—
421#399C2312yes—
422#399C2312yes—
423#399C2312yes—
424#399C2314yes—
425#398C2314yes—
426#398C2314yes—
427#398C2312yes—
428#398C2312yes—
429#398C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2312yes—
437#397C2314yes—
438#397C2314yes—
439#397C2314yes—
440#397C2314yes—
441#397C2312yes—
442#397C2312yes—
443#397C2314yes—
444#396C2314yes—
445#396C2314yes—
446#396C2314yes—
447#396C2314yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#395C2314yes—
453#395C2312yes—
454#395C2314yes—
455#395C2312yes—
456#394C2314yes—
457#394C2314yes—
458#394C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2314yes—
463#394C2312yes—
464#394C2314yes—
465#394C2314yes—
466#394C2314yes—
467#394C2312yes—
468#394C2314yes—
469#394C2314yes—
470#394C2314yes—
471#394C2312yes—
472#394C2312yes—
473#394C2314yes—
474#394C2312yes—
475#394C2312yes—
476#394C2314yes—
477#394C2314yes—
478#394C2314yes—
479#394C2314yes—
480#394C2314yes—
481#394C2314yes—
482#394C2314yes—
483#394C2314yes—
484#394C2314yes—
485#394C2314yes—
486#394C2314yes—
487#394C2314yes—
488#394C2314yes—
489#394C2314yes—
490#394C2314yes—
491#393C2314yes—
492#393C2312yes—
493#393C2314yes—
494#393C2314yes—
495#393C2314yes—
496#393C2312yes—
497#393C2314yes—
498#393C2314yes—
499#393C2314yes—
500#393C2314yes—
501#393C2312yes—
502#393C2312yes—
503#393C2314yes—
504#392C2314yes—
505#392C2314yes—
506#392C2314yes—
507#392C2314yes—
508#392C2314yes—
509#392C2314yes—
510#392C2314yes—
511#392C2312yes—
512#392C2312yes—
513#392C2314yes—
514#392C2312yes—
515#392C2312yes—
516#392C2314yes—
517#392C2314yes—
518#392C2314yes—
519#392C2314yes—
520#392C2314yes—
521#392C2314yes—
522#392C2314yes—
523#392C2314yes—
524#392C2314yes—
525#392C2312yes—
526#392C2312yes—
527#392C2312yes—
528#392C2312yes—
529#392C2314yes—
530#392C2314yes—
531#392C2314yes—
532#391C2314yes—
533#391C2312yes—
534#391C2312yes—
535#391C2312yes—
536#391C2312yes—
537#391C2314yes—
538#391C2314yes—
539#391C2312yes—
540#391C2312yes—
541#390C2314yes—
542#390C2314yes—
543#390C2314yes—
544#390C2314yes—
545#390C2312yes—
546#390C2312yes—
547#390C2314yes—
548#390C2314yes—
549#390C2314yes—
550#390C2314yes—
551#390C2314yes—
552#390C2312yes—
553#390C2312yes—
554#390C2312yes—
555#390C2314yes—
556#390C2312yes—
557#390C2312yes—
558#390C2314yes—
559#390C2314yes—
560#390C2312yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#389C2312yes—
566#389C2312yes—
567#389C2312yes—
568#389C2312yes—
569#389C2312yes—
570#389C2312yes—
571#389C2314yes—
572#388C2312yes—
573#388C2314yes—
574#388C2314yes—
575#388C2314yes—
576#388C2314yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2312yes—
594#388C2312yes—
595#388C2312yes—
596#388C2314yes—
597#388C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#387C2314yes—
611#387C2314yes—
612#387C2314yes—
613#387C2314yes—
614#387C2314yes—
615#387C2314yes—
616#386C2314yes—
617#386C2314yes—
618#386C2314yes—
619#386C2314yes—
620#386C2314yes—
621#386C2314yes—
622#386C2314yes—
623#386C2312yes—
624#386C2314yes—
625#386C2314yes—
626#386C2314yes—
627#386C2312yes—
628#386C2312yes—
629#386C2312yes—
630#386C2314yes—
631#386C2314yes—
632#386C2314yes—
633#386C2314yes—
634#386C2314yes—
635#386C2314yes—
636#386C2314yes—
637#386C2312yes—
638#386C2314yes—
639#386C2314yes—
640#386C2314yes—
641#386C2314yes—
642#386C2312yes—
643#386C2314yes—
644#386C2312yes—
645#386C2312yes—
646#386C2312yes—
647#386C2312yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2311yescharacteristic
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2311yescharacteristic
656#386C2314yes—
657#386C2311yescharacteristic
658#386C2311yescharacteristic
659#386C2314yes—
660#385C2314yes—
661#385C2314yes—
662#385C2314yes—
663#385C2314yes—
664#385C2314yes—
665#385C2312yes—
666#385C2312yes—
667#385C2311yescharacteristic
668#385C2314yes—
669#385C2312yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2314yes—
674#385C2311yescharacteristic
675#385C2314yes—
676#385C2311yescharacteristic
677#385C2311yescharacteristic
678#383C2312yes—
679#383C2314yes—
680#383C2312yes—
681#382C2314yes—
682#382C2314yes—
683#382C2314yes—
684#382C2312yes—
685#382C2314yes—
686#382C2312yes—
687#381C2314yes—
688#381C2314yes—
689#381C2311yescharacteristic
690#381C2312yes—
691#381C2311yescharacteristic
692#380C2311yescharacteristic
693#380C2312yes—
694#380C2312yes—
695#380C2312yes—
696#380C2314yes—
697#380C2314yes—
698#380C2314yes—
699#380C2314yes—
700#380C2312yes—
701#380C2314yes—
702#380C2312yes—
703#380C2312yes—
704#380C2312yes—
705#380C2311yescharacteristic
706#380C2311yescharacteristic
707#380C2311yescharacteristic
708#380C2312yes—
709#379C2312yes—
710#379C2314yes—
711#379C2312yes—
712#379C2314yes—
713#379C2314yes—
714#379C2314yes—
715#379C2314yes—
716#379C2314yes—
717#379C2311yescharacteristic
718#379C2311yescharacteristic
719#379C2311yescharacteristic
720#379C2311yescharacteristic
721C4×C4⋊C4C2312yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2314yes—
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2311yescharacteristic
731C4×C22⋊C4C2314yes—
732C4×C22⋊C4C2314yes—
733C4×C22⋊C4C2314yes—
734C4×C22⋊C4C2312yes—
735C4×C22⋊C4C2314yes—
736C4×C22⋊C4C2314yes—
737C4×C22⋊C4C2312yes—
738C4×C22⋊C4C2312yes—
739C4×C22⋊C4C2312yes—
740C4×C22⋊C4C2312yes—
741C4×C22⋊C4C2314yes—
742C4×C22⋊C4C2311yescharacteristic
743C4×C22⋊C4C2311yescharacteristic
744#376C2312yes—
745#376C2314yes—
746#376C2312yes—
747C2×#95C2312yes—
748C25C2411yescharacteristic
749C25C2412yes—
750C25C2414yes—
751C25C2411yescharacteristic
752C2×#41—24no—
753C2×#41—42no—
754C2×#41—44no—
755C2×#41—42no—
756C2×#41—44no—
757C2×#41—44no—
758C2×#41—44no—
759C2×#41—44no—
760C2×#41—44no—
761C22×Q8—42no—
762C22×Q8—44no—
763C22×Q8C2412yes—
764C22×Q8C2411yescharacteristic
765C22×Q8C2412yes—
766C22×Q8C2414yes—
767C22×Q8C2412yes—
768C22×D4—42no—
769C22×D4—44no—
770C22×D4—48no—
771C22×D4—42no—
772C22×D4—44no—
773C22×D4—44no—
774C22×D4—48no—
775C22×D4—44no—
776C22×D4—44no—
777C22×D4—48no—
778C22×D4—48no—
779C22×D4—48no—
780C22×D4—48no—
781C22×D4C2412yes—
782C22×D4C2412yes—
783C22×D4C2412yes—
784C22×D4C2411yescharacteristic
785C22×D4C2411yescharacteristic
786C22×D4C2412yes—
787C22×D4C2414yes—
788C22×D4C2414yes—
789C22×D4C2412yes—
790C22×D4C2414yes—
791C22×D4C2412yes—
792C22×D4C2412yes—
793C22×D4C2414yes—
794C22×D4C2412yes—
795C22×D4C2414yes—
796C22×D4C2414yes—
797C22×D4C2412yes—
798C22×D4C2414yes—
799C22×D4C2412yes—
800C22×D4C2414yes—
801C22×D4C2414yes—
802C22×D4C2414yes—
803C22×D4C2414yes—
804C22×D4C2414yes—
805C22×D4C2412yes—
806C22×D4C2414yes—
807C22×D4C2414yes—
808C22×D4C2411yescharacteristic
809C23×C4—42no—
810C23×C4—42no—
811C23×C4—44no—
812C23×C4—44no—
813C23×C4C2411yescharacteristic
814C23×C4C2412yes—
815C23×C4C2412yes—
816C23×C4C2411yescharacteristic
817C23×C4C2411yescharacteristic
818C23×C4C2411yescharacteristic
819C23×C4C2411yescharacteristic
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2414yes—
823C23×C4C2414yes—
824C23×C4C2414yes—
825C23×C4C2411yescharacteristic
826C23×C4C2414yes—
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2414yes—
833C23×C4C2412yes—
834C4⋊Q8—42no—
835C4⋊Q8—44no—
836C4⋊Q8—44no—
837#127—28no—
838#127—42no—
839#127—44no—
840#127—48no—
841#126—48no—
842#125—44no—
843#125—48no—
844#124—28no—
845#124—28no—
846#124—44no—
847#124—44no—
848#124—44no—
849#124—48no—
850#124—48no—
851#124—44no—
852#124—44no—
853#124—44no—
854#124—48no—
855#124—48no—
856#124—48no—
857#124—48no—
858#123—48no—
859#123—48no—
860#123—48no—
861C22⋊Q8—28no—
862C22⋊Q8—48no—
863C22⋊Q8—48no—
864C22⋊Q8—48no—
865C22⋊Q8—44no—
866C22⋊Q8—44no—
867C22⋊Q8—44no—
868C22⋊Q8—44no—
869#121—28no—
870#121—28no—
871#121—28no—
872#121—44no—
873#121—48no—
874#121—48no—
875#121—48no—
876#121—48no—
877#121—48no—
878#121—48no—
879#121—44no—
880#121—48no—
881#121—44no—
882#121—48no—
883#121—48no—
884#121—48no—
885#121—48no—
886#121—44no—
887#121—44no—
888#121—44no—
889#121—44no—
890#121—44no—
891#121—44no—
892#121—44no—
893#120—24no—
894#120—28no—
895#120—24no—
896#120—48no—
897#120—48no—
898#120—48no—
899#120—48no—
900#120—48no—
901#120—48no—
902#120—48no—
903#120—48no—
904#120—48no—
905#120—42no—
906#120—48no—
907#120—44no—
908#120—42no—
909C4×Q8—28no—
910C4×Q8—42no—
911C4×Q8—42no—
912C4×D4—28no—
913C4×D4—28no—
914C4×D4—28no—
915C4×D4—44no—
916C4×D4—48no—
917C4×D4—48no—
918C4×D4—44no—
919C4×D4—48no—
920C4×D4—48no—
921C4×D4—44no—
922C4×D4—42no—
923C4×D4—42no—
924C4×D4—42no—
925C4×D4—42no—
926C4×D4—42no—
927C4×D4—42no—
928C4×D4—44no—
929C4×D4—44no—
930C4×D4—44no—
931C4×D4—48no—
932C4×D4—44no—
933C4×D4—48no—
934C4×D4—44no—
935C4×D4—48no—
936C4×D4—48no—
937#117—28no—
938#117—42no—
939#117—42no—
940#117—42no—
941C2×C4⋊C4—28no—
942C2×C4⋊C4—28no—
943C2×C4⋊C4—42no—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2412yes—
950C2×C4⋊C4C2414yes—
951C2×C4⋊C4C2412yes—
952C2×C4⋊C4C2414yes—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2411yescharacteristic
955C2×C4⋊C4C2411yescharacteristic
956C2×C4⋊C4C2411yescharacteristic
957C2×C4⋊C4C2411yescharacteristic
958C2×C4⋊C4C2411yescharacteristic
959C2×C4⋊C4C2411yescharacteristic
960C2×C4⋊C4C2414yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2414yes—
963C2×C4⋊C4C2414yes—
964C2×C4⋊C4C2412yes—
965C2×C4⋊C4C2412yes—
966C2×C4⋊C4C2414yes—
967C2×C4⋊C4C2414yes—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2414yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2414yes—
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2414yes—
978C2×C4⋊C4C2412yes—
979C2×C22⋊C4—42no—
980C2×C22⋊C4—42no—
981C2×C22⋊C4—48no—
982C2×C22⋊C4—44no—
983C2×C22⋊C4—44no—
984C2×C22⋊C4—48no—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2414yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2414yes—
989C2×C22⋊C4C2414yes—
990C2×C22⋊C4C2414yes—
991C2×C22⋊C4C2414yes—
992C2×C22⋊C4C2412yes—
993C2×C22⋊C4C2414yes—
994C2×C22⋊C4C2414yes—
995C2×C22⋊C4C2414yes—
996C2×C22⋊C4C2414yes—
997C2×C22⋊C4C2414yes—
998C2×C22⋊C4C2414yes—
999C2×C22⋊C4C2412yes—
1000C2×C22⋊C4C2411yescharacteristic
1001C2×C22⋊C4C2414yes—
1002C2×C22⋊C4C2412yes—
1003C2×C22⋊C4C2414yes—
1004C2×C22⋊C4C2411yescharacteristic
1005C2×C22⋊C4C2412yes—
1006C2×C22⋊C4C2412yes—
1007C2×C22⋊C4C2412yes—
1008C2×C22⋊C4C2412yes—
1009C2×C22⋊C4C2414yes—
1010C2×C22⋊C4C2414yes—
1011C2×C22⋊C4C2414yes—
1012C2×C22⋊C4C2414yes—
1013C2×C22⋊C4C2414yes—
1014C2×C22⋊C4C2414yes—
1015C2×C22⋊C4C2411yescharacteristic
1016C2×C22⋊C4C2411yescharacteristic
1017C2×C22⋊C4C2411yescharacteristic
1018C2×C22⋊C4C2411yescharacteristic
1019C2×C22⋊C4C2411yescharacteristic
1020C2×C22⋊C4C2411yescharacteristic
1021C2×C22⋊C4C2412yes—
1022C2×C22⋊C4C2412yes—
1023C2×C22⋊C4C2412yes—
1024C2×C22⋊C4C2412yes—
1025C2×C22⋊C4C2414yes—
1026C2×C22⋊C4C2414yes—
1027C2×C22⋊C4C2414yes—
1028C2×C22⋊C4C2414yes—
1029C2×C22⋊C4C2414yes—
1030C2×C22⋊C4C2414yes—
1031C2×C22⋊C4C2414yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2414yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2414yes—
1038C2×C22⋊C4C2414yes—
1039C2×C22⋊C4C2414yes—
1040C2×C22⋊C4C2414yes—
1041C2×C22⋊C4C2414yes—
1042C2×C22⋊C4C2414yes—
1043C2×C22⋊C4C2414yes—
1044C2×C22⋊C4C2412yes—
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2411yescharacteristic
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C42—24no—
1064C2×C42—24no—
1065C2×C42—24no—
1066C2×C42—44no—
1067C2×C42C2411yescharacteristic
1068C2×C42C2411yescharacteristic
1069C2×C42C2411yescharacteristic
1070C2×C42C2414yes—
1071C2×C42C2411yescharacteristic
1072C2×C42C2411yescharacteristic
1073C2×C42C2412yes—
1074C2×C42C2414yes—
1075C2×C42C2412yes—
1076C2×C42C2412yes—
1077C2×C42C2411yescharacteristic
1078C2×C42C2411yescharacteristic
1079C2×C42C2411yescharacteristic
1080C2×C42C2411yescharacteristic
1081C2×C42C2412yes—
1082C2×C42C2414yes—
1083C2×C42C2414yes—
1084C2×C42C2414yes—
1085C2×C42C2414yes—
1086C2×C42C2411yescharacteristic
1087#95C2412yes—
1088#95C2414yes—
1089#95C2412yes—
1090#95C2412yes—
1091#95C2414yes—
1092#95C2414yes—
1093#95C2412yes—
1094#95C2414yes—
1095#95C2412yes—
1096#95C2412yes—
1097#95C2412yes—
1098#95C2412yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2412yes—
1104#95C2412yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2412yes—
1108#95C2412yes—
1109#95C2414yes—
1110#95C2412yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2412yes—
1115#95C2412yes—
1116#95C2412yes—
1117#95C2414yes—
1118#95C2412yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2414yes—
1122#95C2414yes—
1123#95C2414yes—
1124#95C2414yes—
1125#95C2414yes—
1126#95C2414yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131C24—22no—
1132C24—24no—
1133C24—22no—
1134C24—24no—
1135C24—28no—
1136C24—41no—
1137C24—41no—
1138C24—42no—
1139C24—42no—
1140C24—42no—
1141C24—44no—
1142C24—42no—
1143C24—41no—
1144C24—41no—
1145C24—44no—
1146C24—44no—
1147C24—44no—
1148C24—44no—
1149C24—44no—
1150C24—44no—
1151C24—44no—
1152C24—42no—
1153C24C2514yes—
1154C24C2512yes—
1155C24C2514yes—
1156C24C2511yescharacteristic
1157C24C2511yescharacteristic
1158C24C2512yes—
1159C24C2511yescharacteristic
1160#41—416no—
1161#41—816no—
1162#41—816no—
1163C2×Q8—24no—
1164C2×Q8—24no—
1165C2×Q8—24no—
1166C2×Q8—22no—
1167C2×Q8—24no—
1168C2×Q8—41no—
1169C2×Q8—41no—
1170C2×Q8—44no—
1171C2×Q8—42no—
1172C2×Q8—42no—
1173C2×Q8—42no—
1174C2×Q8—44no—
1175C2×Q8—44no—
1176C2×Q8—44no—
1177C2×Q8—88no—
1178C2×D4—28no—
1179C2×D4—28no—
1180C2×D4—24no—
1181C2×D4—22no—
1182C2×D4—22no—
1183C2×D4—24no—
1184C2×D4—24no—
1185C2×D4—22no—
1186C2×D4—22no—
1187C2×D4—24no—
1188C2×D4—24no—
1189C2×D4—28no—
1190C2×D4—24no—
1191C2×D4—24no—
1192C2×D4—28no—
1193C2×D4—28no—
1194C2×D4—28no—
1195C2×D4—24no—
1196C2×D4—28no—
1197C2×D4—24no—
1198C2×D4—24no—
1199C2×D4—24no—
1200C2×D4—28no—
1201C2×D4—28no—
1202C2×D4—28no—
1203C2×D4—24no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—42no—
1209C2×D4—42no—
1210C2×D4—41no—
1211C2×D4—41no—
1212C2×D4—41no—
1213C2×D4—44no—
1214C2×D4—42no—
1215C2×D4—42no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—42no—
1219C2×D4—41no—
1220C2×D4—44no—
1221C2×D4—42no—
1222C2×D4—44no—
1223C2×D4—42no—
1224C2×D4—42no—
1225C2×D4—44no—
1226C2×D4—44no—
1227C2×D4—44no—
1228C2×D4—44no—
1229C2×D4—44no—
1230C2×D4—44no—
1231C2×D4—44no—
1232C2×D4—44no—
1233C2×D4—44no—
1234C2×D4—44no—
1235C2×D4—44no—
1236C2×D4—44no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—44no—
1241C2×D4—44no—
1242C2×D4—42no—
1243C2×D4—42no—
1244C2×D4—42no—
1245C2×D4—42no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—42no—
1250C2×D4—44no—
1251C2×D4—44no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—44no—
1258C2×D4—44no—
1259C2×D4—416no—
1260C2×D4—816no—
1261C2×D4—88no—
1262C2×D4—832no—
1263C2×D4—832no—
1264C2×D4H(5,𝔽2)14yes—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—22no—
1270C22×C4—22no—
1271C22×C4—22no—
1272C22×C4—22no—
1273C22×C4—22no—
1274C22×C4—22no—
1275C22×C4—22no—
1276C22×C4—24no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—24no—
1280C22×C4—24no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—22no—
1286C22×C4—22no—
1287C22×C4—28no—
1288C22×C4—28no—
1289C22×C4—28no—
1290C22×C4—28no—
1291C22×C4—42no—
1292C22×C4—41no—
1293C22×C4—41no—
1294C22×C4—44no—
1295C22×C4—42no—
1296C22×C4—42no—
1297C22×C4—41no—
1298C22×C4—41no—
1299C22×C4—44no—
1300C22×C4—42no—
1301C22×C4—42no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—44no—
1315C22×C4—42no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—88no—
1320C22×C4—88no—
1321C22×C4C2512yes—
1322C22×C4C2511yescharacteristic
1323C22×C4C2511yescharacteristic
1324C22×C4C2512yes—
1325C22×C4C2514yes—
1326C22×C4C2514yes—
1327C22×C4C2514yes—
1328C22×C4C2511yescharacteristic
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2511yescharacteristic
1332C22×C4C2511yescharacteristic
1333C22×C4C2514yes—
1334C22×C4C2512yes—
1335C22×C4C2511yescharacteristic
1336C22×C4C2511yescharacteristic
1337C22×C4C2514yes—
1338C22×C4C2512yes—
1339C22×C4C2511yescharacteristic
1340C22×C4C2511yescharacteristic
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2514yes—
1344C22×C4C2511yescharacteristic
1345C4⋊C4—28no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—28no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—28no—
1353C4⋊C4—28no—
1354C4⋊C4—42no—
1355C4⋊C4—41no—
1356C4⋊C4—41no—
1357C4⋊C4—41no—
1358C4⋊C4—41no—
1359C4⋊C4—41no—
1360C4⋊C4—41no—
1361C4⋊C4—44no—
1362C4⋊C4—42no—
1363C4⋊C4—44no—
1364C4⋊C4—44no—
1365C4⋊C4—42no—
1366C4⋊C4—42no—
1367C4⋊C4—44no—
1368C4⋊C4—44no—
1369C4⋊C4—42no—
1370C4⋊C4—44no—
1371C4⋊C4—42no—
1372C4⋊C4—42no—
1373C4⋊C4—42no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4H(5,𝔽2)18yes—
1380C22⋊C4—28no—
1381C22⋊C4—28no—
1382C22⋊C4—22no—
1383C22⋊C4—24no—
1384C22⋊C4—22no—
1385C22⋊C4—24no—
1386C22⋊C4—28no—
1387C22⋊C4—24no—
1388C22⋊C4—24no—
1389C22⋊C4—28no—
1390C22⋊C4—24no—
1391C22⋊C4—28no—
1392C22⋊C4—28no—
1393C22⋊C4—28no—
1394C22⋊C4—28no—
1395C22⋊C4—28no—
1396C22⋊C4—28no—
1397C22⋊C4—24no—
1398C22⋊C4—28no—
1399C22⋊C4—28no—
1400C22⋊C4—24no—
1401C22⋊C4—28no—
1402C22⋊C4—42no—
1403C22⋊C4—42no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—41no—
1411C22⋊C4—41no—
1412C22⋊C4—41no—
1413C22⋊C4—41no—
1414C22⋊C4—41no—
1415C22⋊C4—41no—
1416C22⋊C4—42no—
1417C22⋊C4—42no—
1418C22⋊C4—42no—
1419C22⋊C4—42no—
1420C22⋊C4—44no—
1421C22⋊C4—44no—
1422C22⋊C4—44no—
1423C22⋊C4—44no—
1424C22⋊C4—44no—
1425C22⋊C4—44no—
1426C22⋊C4—42no—
1427C22⋊C4—42no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—42no—
1431C22⋊C4—42no—
1432C22⋊C4—44no—
1433C22⋊C4—41no—
1434C22⋊C4—42no—
1435C22⋊C4—44no—
1436C22⋊C4—42no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—41no—
1445C22⋊C4—42no—
1446C22⋊C4—44no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—42no—
1452C22⋊C4—42no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C42—22no—
1459C42—22no—
1460C42—22no—
1461C42—22no—
1462C42—22no—
1463C42—22no—
1464C42—22no—
1465C42—22no—
1466C42—22no—
1467C42—24no—
1468C42—24no—
1469C42—28no—
1470C42—24no—
1471C42—28no—
1472C42—24no—
1473C42—44no—
1474C42—44no—
1475C42—44no—
1476C42—44no—
1477C42H(5,𝔽2)14yes—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—21no—
1483C23—21no—
1484C23—21no—
1485C23—22no—
1486C23—22no—
1487C23—22no—
1488C23—21no—
1489C23—22no—
1490C23—21no—
1491C23—21no—
1492C23—22no—
1493C23—22no—
1494C23—22no—
1495C23—22no—
1496C23—24no—
1497C23—22no—
1498C23—22no—
1499C23—22no—
1500C23—24no—
1501C23—24no—
1502C23—24no—
1503C23—24no—
1504C23—22no—
1505C23—24no—
1506C23—24no—
1507C23—24no—
1508C23—24no—
1509C23—22no—
1510C23—24no—
1511C23—24no—
1512C23—24no—
1513C23—24no—
1514C23—22no—
1515C23—24no—
1516C23—22no—
1517C23—44no—
1518C23—48no—
1519C23—44no—
1520C23—84no—
1521C23—84no—
1522C23—82no—
1523C23—82no—
1524C23—88no—
1525C23—88no—
1526C23—88no—
1527C23—88no—
1528C23—84no—
1529C23—82no—
1530C23—82no—
1531C23—84no—
1532C23—88no—
1533C23—84no—
1534C23—88no—
1535C23—84no—
1536C23—164no—
1537C23—164no—
1538C23—164no—
1539C23C2×H(5,𝔽2)12yes—
1540C23C2×H(5,𝔽2)12yes—
1541C23#58514yes—
1542C23#58512yes—
1543C23C2611yescharacteristic
1544Q8—44no—
1545Q8—48no—
1546Q8—84no—
1547Q8—84no—
1548Q8—164no—
1549D4—44no—
1550D4—48no—
1551D4—416no—
1552D4—416no—
1553D4—416no—
1554D4—48no—
1555D4—48no—
1556D4—44no—
1557D4—44no—
1558D4—48no—
1559D4—48no—
1560D4—48no—
1561D4—84no—
1562D4—84no—
1563D4—88no—
1564D4—84no—
1565D4—88no—
1566D4—88no—
1567D4—88no—
1568D4—84no—
1569D4—88no—
1570D4—88no—
1571D4—88no—
1572D4—84no—
1573D4—88no—
1574D4—164no—
1575D4—164no—
1576D4—164no—
1577C2×C4—28no—
1578C2×C4—21no—
1579C2×C4—24no—
1580C2×C4—21no—
1581C2×C4—22no—
1582C2×C4—24no—
1583C2×C4—21no—
1584C2×C4—21no—
1585C2×C4—22no—
1586C2×C4—21no—
1587C2×C4—21no—
1588C2×C4—21no—
1589C2×C4—21no—
1590C2×C4—22no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—24no—
1598C2×C4—22no—
1599C2×C4—24no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—24no—
1603C2×C4—24no—
1604C2×C4—22no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—24no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—24no—
1617C2×C4—22no—
1618C2×C4—24no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—24no—
1624C2×C4—24no—
1625C2×C4—24no—
1626C2×C4—22no—
1627C2×C4—24no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—44no—
1637C2×C4—44no—
1638C2×C4—44no—
1639C2×C4—44no—
1640C2×C4—44no—
1641C2×C4—48no—
1642C2×C4—48no—
1643C2×C4—44no—
1644C2×C4—82no—
1645C2×C4—82no—
1646C2×C4—88no—
1647C2×C4—88no—
1648C2×C4—88no—
1649C2×C4—88no—
1650C2×C4—82no—
1651C2×C4—84no—
1652C2×C4—84no—
1653C2×C4—82no—
1654C2×C4—84no—
1655C2×C4—88no—
1656C2×C4C2×H(5,𝔽2)12yes—
1657C2×C4C2×H(5,𝔽2)12yes—
1658C2×C4C2×H(5,𝔽2)12yes—
1659C2×C4C2×H(5,𝔽2)18yes—
1660C2×C4C2×H(5,𝔽2)12yes—
1661C2×C4C2×H(5,𝔽2)14yes—
1662C22—24no—
1663C22—24no—
1664C22—24no—
1665C22—24no—
1666C22—24no—
1667C22—24no—
1668C22—22no—
1669C22—22no—
1670C22—22no—
1671C22—41no—
1672C22—41no—
1673C22—41no—
1674C22—42no—
1675C22—42no—
1676C22—41no—
1677C22—41no—
1678C22—42no—
1679C22—41no—
1680C22—42no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—44no—
1686C22—44no—
1687C22—44no—
1688C22—44no—
1689C22—44no—
1690C22—44no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—44no—
1695C22—44no—
1696C22—42no—
1697C22—42no—
1698C22—44no—
1699C22—44no—
1700C22—44no—
1701C22—44no—
1702C22—44no—
1703C22—42no—
1704C22—44no—
1705C22—88no—
1706C22—88no—
1707C22—1616no—
1708C22—168no—
1709C22C22×H(5,𝔽2)11yescharacteristic
1710C22C22×H(5,𝔽2)11yescharacteristic
1711C22C22×H(5,𝔽2)12yes—
1712C22C2×#58512yes—
1713C22C2×#58511yescharacteristic
1714C4—22no—
1715C4—28no—
1716C4—22no—
1717C4—22no—
1718C4—41no—
1719C4—41no—
1720C4—41no—
1721C4—42no—
1722C4—44no—
1723C4—44no—
1724C4—42no—
1725C4—41no—
1726C4—42no—
1727C4—41no—
1728C4—42no—
1729C4—41no—
1730C4—44no—
1731C4—42no—
1732C4—44no—
1733C4—42no—
1734C4—41no—
1735C4—41no—
1736C4—44no—
1737C4#354914yes—
1738C2—42no—
1739C2—42no—
1740C2—44no—
1741C2—42no—
1742C2—82no—
1743C2—84no—
1744C2—84no—
1745C2#6272911yescharacteristic
1746C2C2×#354911yescharacteristic
1747C2#6281811yescharacteristic
1748C2#6301212yes—
1749C2#6302012yes—
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. #59236C2semidirect
2. #59131C2semidirect
3. #59041C2semidirect
4. #59001C2semidirect
5. #58997C2semidirect
6. #58260C2semidirect
7. #54866C2semidirect
8. #53414C2semidirect
9. #53116C2semidirect
10. #52634C2semidirect
11. #49728C2semidirect
12. #47929C2semidirect
13. #46971C2semidirect
14. #46225C2semidirect
15. #45667C2semidirect
16. #45479C2semidirect
17. #44993C2semidirect
18. #43419C2semidirect
19. #42810C2semidirect
20. #42480C2semidirect
21. #41048C2semidirect
22. #39876C2semidirect
23. #39862C2semidirect
24. #39120C2semidirect
25. #38936C2semidirect
26. #38838C2semidirect
27. #36518C2semidirect
28. #36096C2semidirect
29. #35129C2semidirect
30. #34963C2semidirect
31. #34937C2semidirect
32. C2×H(3,𝔽4)C22semidirect
33. C2×#554C22semidirect
34. C2×#553C22semidirect
35. C2×#548C22semidirect
36. C2×#546C22semidirect
38. C2×D42C22semidirect
39. C2×#532C22semidirect
40. C2×#532C22semidirect
41. C22×#124C22semidirect
42. C2×#525C22semidirect
44. C2×C4×#41C22semidirect
45. C22×C4×D4C22semidirect
46. #2850C22semidirect
47. #2850C22semidirect
48. #2850C22semidirect
49. #2848C22semidirect
50. #2847C22semidirect
51. #2835C22semidirect
52. #2828C22semidirect
53. #2824C22semidirect
54. #2820C22semidirect
55. #2819C22semidirect
56. #2813C22semidirect
57. #2812C22semidirect
58. #2812C22semidirect
59. #2785C22semidirect
60. #2782C22semidirect
61. #2781C22semidirect
62. #2781C22semidirect
63. #2775C22semidirect
64. #2763C22semidirect
65. #2756C22semidirect
66. #2756C22semidirect
67. #2756C22semidirect
68. #2753C22semidirect
69. #2744C22semidirect
70. #2736C22semidirect
71. #2731C22semidirect
72. #2712C22semidirect
73. #2712C22semidirect
74. #2711C22semidirect
75. #2711C22semidirect
76. #2710C22semidirect
77. #2706C22semidirect
78. #2703C22semidirect
79. #2703C22semidirect
80. #2692C22semidirect
81. #2692C22semidirect
82. #2686C22semidirect
83. #2685C22semidirect
84. #2685C22semidirect
86. #2684C22semidirect
87. #2684C22semidirect
88. #2684C22semidirect
89. #2684C22semidirect
90. #2678C22semidirect
91. #2676C22semidirect
92. #2676C22semidirect
93. #2676C22semidirect
94. #2676C22semidirect
96. #2672C22semidirect
97. #2670C22semidirect
98. #2670C22semidirect
99. #2670C22semidirect
100. #2670C22semidirect
102. #2669C22semidirect
103. #2669C22semidirect
104. #2669C22semidirect
105. #2669C22semidirect
106. #2669C22semidirect
107. #2641C22semidirect
108. #2640C22semidirect
109. #2636C22semidirect
110. #2635C22semidirect
111. #2635C22semidirect
112. #2633C22semidirect
113. #2632C22semidirect
114. #2631C22semidirect
115. #2631C22semidirect
116. #2626C22semidirect
117. #2613C22semidirect
118. #2610C22semidirect
119. #2610C22semidirect
120. #2603C22semidirect
121. #2598C22semidirect
122. #2598C22semidirect
123. #2592C22semidirect
124. #2580C22semidirect
125. #2572C22semidirect
126. #2564C22semidirect
127. #2563C22semidirect
128. #2562C22semidirect
129. #2560C22semidirect
130. #2558C22semidirect
131. #2555C22semidirect
132. #2555C22semidirect
133. #2550C22semidirect
134. #2548C22semidirect
135. #2547C22semidirect
136. #2547C22semidirect
137. #2546C22semidirect
138. #2545C22semidirect
139. #2544C22semidirect
140. #2544C22semidirect
141. #2543C22semidirect
142. #2543C22semidirect
143. #2543C22semidirect
145. #2541C22semidirect
147. #2540C22semidirect
148. #2540C22semidirect
149. #2535C22semidirect
150. #2535C22semidirect
151. #2535C22semidirect
152. #2535C22semidirect
153. #2532C22semidirect
154. #2531C22semidirect
155. #2531C22semidirect
156. #2526C22semidirect
157. #2519C22semidirect
158. #2518C22semidirect
159. #2492C22semidirect
160. #2491C22semidirect
161. #2491C22semidirect
162. #2491C22semidirect
163. #2491C22semidirect
164. #2490C22semidirect
165. #2489C22semidirect
166. #2489C22semidirect
167. #2487C22semidirect
168. #2487C22semidirect
169. #2482C22semidirect
170. #2482C22semidirect
171. #2482C22semidirect
172. #2472C22semidirect
173. #2464C22semidirect
174. #2463C22semidirect
175. #2461C22semidirect
176. #2461C22semidirect
177. #2459C22semidirect
178. #2459C22semidirect
179. #2459C22semidirect
180. #2456C22semidirect
181. #2456C22semidirect
182. #2443C22semidirect
183. #2435C22semidirect
184. #2435C22semidirect
185. #2433C22semidirect
186. #2431C22semidirect
187. #2431C22semidirect
188. #2431C22semidirect
190. #2427C22semidirect
191. #2426C22semidirect
192. #2426C22semidirect
193. #2424C22semidirect
194. #2424C22semidirect
195. #2424C22semidirect
196. #2420C22semidirect
197. #2420C22semidirect
198. #2418C22semidirect
199. #2418C22semidirect
200. #2417C22semidirect
201. #2417C22semidirect
202. #2416C22semidirect
203. #2416C22semidirect
204. #2416C22semidirect
205. #2416C22semidirect
207. #2414C22semidirect
208. #2410C22semidirect
209. #2410C22semidirect
210. #2409C22semidirect
211. #2409C22semidirect
212. #2409C22semidirect
215. #2408C22semidirect
216. #2408C22semidirect
217. #2408C22semidirect
218. #2408C22semidirect
219. #2408C22semidirect
220. #2408C22semidirect
221. #2408C22semidirect
222. #2407C22semidirect
223. #2407C22semidirect
225. #2404C22semidirect
226. #2404C22semidirect
227. #2404C22semidirect
229. #2403C22semidirect
230. #2398C22semidirect
231. #2397C22semidirect
232. #2392C22semidirect
233. #2392C22semidirect
234. #2379C22semidirect
235. #2372C22semidirect
236. #2367C22semidirect
237. #2366C22semidirect
238. #2362C22semidirect
239. #2361C22semidirect
240. #2358C22semidirect
241. #2357C22semidirect
242. #2352C22semidirect
243. #2346C22semidirect
244. #2345C22semidirect
245. D4×C22⋊C4C22semidirect
246. D4×C22⋊C4C22semidirect
247. #2328C22semidirect
248. #2321C22semidirect
249. #2321C22semidirect
250. #2321C22semidirect
251. #2321C22semidirect
252. #2320C22semidirect
253. #2319C22semidirect
254. C4×#121C22semidirect
255. C4×#121C22semidirect
256. C4×#121C22semidirect
257. C4×#121C22semidirect
258. C4×#121C22semidirect
260. C4×#120C22semidirect
261. C4×#120C22semidirect
262. C4×#120C22semidirect
263. #2297C22semidirect
264. #2283C22semidirect
265. #2283C22semidirect
266. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#592362
#591312
#590412
#590012
#589972
#582602
#548662
#534142
#531162
#526342
#497282
#479292
#469712
#462252
#456672
#454792
#449932
#434192
#428102
#424802
#410482
#398762
#398622
#391202
#389362
#388382
#365182
#360962
#351292
#349632
#349372