Finite Group Databasebeta

← #7715661

Subgroups — #7715661

Order 512.

6608 conjugacy classes of subgroups.

The subgroup lattice has 1650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3554C211yesmaximal, characteristic, complemented
2C2×#3458C211yesmaximal, characteristic, complemented
3#49567C214yesmaximal, complemented
4#49549C212yesmaximal, complemented
5#49548C212yesmaximal, complemented
6#47856C214yesmaximal, complemented
7#47833C212yesmaximal, complemented
8#47832C212yesmaximal, complemented
9#47798C214yesmaximal, complemented
10#47795C214yesmaximal, complemented
11#47720C214yesmaximal, complemented
12#47692C214yesmaximal, complemented
13#39726C212yesmaximal, complemented
14#39725C212yesmaximal, complemented
15#39718C212yesmaximal, complemented
16#39718C212yesmaximal, complemented
17#39598C212yesmaximal, complemented
18#39596C212yesmaximal, complemented
19#39591C212yesmaximal, complemented
20#39590C212yesmaximal, complemented
21#37640C211yesmaximal, characteristic, complemented
22#37551C211yesmaximal, characteristic, complemented
23#37275C212yesmaximal, complemented
24#37274C212yesmaximal, complemented
25#35302C211yesmaximal, characteristic, complemented
26#35301C211yesmaximal, characteristic, complemented
27#35261C212yesmaximal, complemented
28#35260C212yesmaximal, complemented
29#34373C211yesmaximal, characteristic, complemented
30#3554—216no—
31C2×#562C2214yes—
32C2×#559C2211yescharacteristic, complemented
33C2×#559C2212yescomplemented
34C2×#557C2211yescharacteristic, complemented
35C2×#554C2212yescomplemented
36C2×#550C2211yescharacteristic, complemented
37C2×D4×Q8C2211yescharacteristic, complemented
38C2×#548C2212yes—
39C2×#547C2212yes—
40#3458—216no—
41C2×#544C2212yes—
42C2×#544C2212yes—
43C2×#544C2211yescharacteristic
44C2×#544C2211yescharacteristic
45C2×#544C2212yes—
46C2×#544C2212yes—
47C2×#544C2212yes—
48C2×#543C2211yescharacteristic
49C2×#543C2211yescharacteristic
50C2×#543C2212yes—
51C2×#542C2212yes—
52C2×#542C2212yescomplemented
53C2×#540C2212yes—
54C2×#539C2214yescomplemented
55C2×#536C2212yescomplemented
56C2×#533C2211yescharacteristic
57C2×#533C2212yes—
58C2×#533C2212yes—
59C2×#533C2212yes—
60C2×#533C2212yes—
61C2×#533C2212yes—
62C2×#533C2211yescharacteristic
63C2×#532C2211yescharacteristic
64C2×#529C2211yescharacteristic
65C22×#117C2212yes—
66C22×#117C2211yescharacteristic
67#2857C2212yes—
68#2856C2212yes—
69#2855C2211yescharacteristic
70#2854C2211yescharacteristic
71#2854C2212yes—
72#2851C2212yes—
73#2850C2212yes—
74#2848C2211yescharacteristic
75#2847C2212yes—
76#2847C2211yescharacteristic
77#2821C2212yescomplemented
78#2821C2212yescomplemented
79#2820C2214yescomplemented
80#2734C2214yescomplemented
81#2732C2214yes—
82#2731C2214yescomplemented
83#2731C2214yescomplemented
84#2730C2214yes—
85#2730C2214yes—
86#2729C2214yes—
87#2729C2214yescomplemented
88#2721C2214yescomplemented
89#2720C2214yes—
90#2720C2214yescomplemented
91#2720C2214yescomplemented
92#2716C2214yescomplemented
93#2713C2214yescomplemented
94#2711C2214yescomplemented
95#2711C2214yescomplemented
96#2707C2214yescomplemented
97#2707C2214yescomplemented
98#2704C2214yescomplemented
99#2704C2214yescomplemented
100#2700C2214yes—
101#2696C2214yes—
102#2696C2214yes—
103#2694C2214yescomplemented
104#2694C2214yescomplemented
105#2692C2214yes—
106#2692C2214yes—
107#2692C2214yes—
108#2690C2214yescomplemented
109#2687C2214yes—
110#2683C2214yes—
111#2683C2214yes—
112#2681C2214yes—
113#2681C2214yes—
114#2681C2214yes—
115#2681C2214yes—
116#2680C2214yes—
117#2677C2214yescomplemented
118#2677C2214yescomplemented
119#2676C2214yes—
120#2676C2214yes—
121#2674C2214yes—
122#2674C2214yescomplemented
123#2674C2214yescomplemented
124#2674C2214yescomplemented
125#2674C2214yescomplemented
126#2672C2214yes—
127#2672C2214yes—
128#2663C2214yes—
129#2638C2212yes—
130#2638C2212yes—
131#2629C2212yes—
132#2629C2212yes—
133#2628C2212yes—
134#2628C2212yes—
135#2625C2212yes—
136#2624C2212yes—
137#2624C2212yes—
138#2624C2212yes—
139#2620C2214yes—
140#2620C2212yes—
141#2620C2212yes—
142#2619C2212yes—
143#2619C2212yes—
144#2616C2212yes—
145#2616C2212yes—
146#2611C2214yescomplemented
147#2610C2214yes—
148#2609C2214yes—
149#2601C2214yes—
150#2598C2214yes—
151#2592C2212yescomplemented
152#2592C2211yescharacteristic, complemented
153#2592C2212yescomplemented
154#2592C2211yescharacteristic, complemented
155#2591C2212yes—
156#2584C2212yescomplemented
157#2584C2212yescomplemented
158#2584C2211yescharacteristic, complemented
159#2584C2211yescharacteristic, complemented
160#2582C2212yescomplemented
161#2581C2212yescomplemented
162#2581C2212yescomplemented
163#2580C2212yescomplemented
164#2580C2212yescomplemented
165#2580C2212yescomplemented
166#2580C2212yescomplemented
167#2579C2212yes—
168#2567C2212yescomplemented
169#2567C2212yescomplemented
170#2558C2214yescomplemented
171#2558C2214yescomplemented
172#2556C2214yes—
173#2556C2214yescomplemented
174#2548C2212yescomplemented
175#2548C2212yescomplemented
176#2548C2212yescomplemented
177#2547C2212yescomplemented
178#2546C2212yescomplemented
179#2545C2214yescomplemented
180#2542C2214yes—
181#2542C2212yescomplemented
182#2540C2214yes—
183#2539C2212yes—
184#2538C2214yes—
185#2538C2212yescomplemented
186#2538C2212yescomplemented
187#2538C2212yescomplemented
188#2538C2212yescomplemented
189#2538C2212yescomplemented
190#2534C2212yes—
191#2506C2214yescomplemented
192#2492C2214yescomplemented
193#2491C2214yescomplemented
194#2481C2214yes—
195#2479C2214yes—
196#2477C2214yes—
197#2476C2214yes—
198#2476C2214yes—
199#2474C2214yes—
200#2473C2214yescomplemented
201#2472C2214yes—
202#2471C2214yes—
203#2471C2214yes—
204#2470C2214yes—
205#2465C2214yes—
206#2463C2214yes—
207#2463C2214yes—
208#2462C2214yescomplemented
209#2461C2214yes—
210#2461C2214yes—
211#2460C2214yescomplemented
212#2460C2214yescomplemented
213#2452C2214yes—
214#2452C2214yescomplemented
215#2449C2214yes—
216#2449C2214yes—
217#2443C2214yes—
218#2443C2214yes—
219#2440C2214yescomplemented
220#2434C2214yescomplemented
221#2432C2214yescomplemented
222#2429C2214yescomplemented
223#2427C2214yes—
224#2426C2214yes—
225#2424C2214yes—
226#2424C2214yes—
227#2418C2214yes—
228#2417C2214yes—
229#2413C2212yes—
230#2411C2212yes—
231#2409C2214yes—
232#2407C2214yes—
233#2406C2212yes—
234#2404C2212yes—
235#2378C2212yes—
236#2378C2212yes—
237#2362C2214yes—
238#2355C2212yescomplemented
239#2355C2212yescomplemented
240#2355C2212yescomplemented
241Q8×C4⋊C4C2212yescomplemented
242#2336C2214yescomplemented
243#2331C2212yescomplemented
244#2327C2212yescomplemented
245#2324C2212yes—
246#2324C2212yes—
247#2324C2212yes—
248#2324C2212yes—
249#2324C2212yes—
250#2324C2212yes—
251#2323C2212yes—
252#2323C2212yes—
253#2314C2212yes—
254#2314C2212yes—
255C4×C22⋊Q8C2212yes—
256C4×#121C2212yes—
257C4×#121C2212yes—
258C4×#121C2212yes—
259#2285C2211yescharacteristic
260#2283C2211yescharacteristic
261C22×#41C2312yes—
262C22×#41C2312yes—
263C23×Q8C2312yes—
264C24×C4C2311yescharacteristic
265#562—232no—
266#559—216no—
267#559—28no—
268#557—28no—
269#554—216no—
270#550—28no—
271D4×Q8—28no—
272#548—216no—
273#547—216no—
274#544—216no—
275#544—216no—
276#544—216no—
277#544—216no—
278#544—28no—
279#544—28no—
280#544—216no—
281#543—28no—
282#543—28no—
283#543—216no—
284#542—216no—
285#542—216no—
286#540—216no—
287#539—232no—
288#536—216no—
289#533—216no—
290#533—216no—
291#533—216no—
292#533—216no—
293#533—216no—
294#533—28no—
295#533D4116yescomplemented
296#532—28no—
297C2×C4⋊Q8C2311yescharacteristic
298C2×C4⋊Q8C2311yescharacteristic
299C2×C4⋊Q8C2311yescharacteristic
300C2×C4⋊Q8C2312yes—
301C2×C4⋊Q8C2312yes—
302C2×C4⋊Q8C2312yes—
303C2×C4⋊Q8C2312yes—
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307C2×C4⋊Q8C2312yes—
308C2×C4⋊Q8C2312yes—
309C2×C4⋊Q8C2312yes—
310C2×C4⋊Q8C2312yes—
311C2×C4⋊Q8C2312yes—
312C2×C4⋊Q8C2314yes—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2311yescharacteristic
315C2×#127C2312yes—
316C2×#127C2311yescharacteristic
317#529—28no—
318C2×#126C2312yes—
319C2×#126C2314yes—
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2311yescharacteristic
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#125C2312yes—
333C2×#125C2314yes—
334C2×#125C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2311yescharacteristic
338C2×#124C2314yes—
339C2×#124C2312yes—
340C2×#124C2314yes—
341C2×#124C2314yes—
342C2×#124C2314yes—
343C2×#124C2314yes—
344C2×#123C2312yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2311yescharacteristic
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2314yes—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2314yes—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2314yes—
390C2×C22⋊Q8C2312yes—
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2311yescharacteristic
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2311yescharacteristic
398C2×#121C2312yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#121C2312yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#120C2314yes—
406C2×#120C2312yes—
407C2×C4×Q8C2312yes—
408C2×C4×Q8C2312yes—
409C2×C4×Q8C2311yescharacteristic
410C2×C4×Q8C2312yes—
411C2×C4×Q8C2312yes—
412C2×C4×Q8C2312yes—
413C2×C4×Q8C2312yes—
414C2×C4×Q8C2311yescharacteristic
415C2×C4×Q8C2311yescharacteristic
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2314yes—
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2311yescharacteristic
420C2×C4×Q8C2311yescharacteristic
421C2×C4×D4C2312yes—
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2314yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2314yes—
431C2×C4×D4C2314yes—
432C2×C4×D4C2314yes—
433C2×#117—216no—
434C2×#117—28no—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C2×#117C2312yes—
438C2×#117C2312yes—
439C2×#117C2312yes—
440C2×#117C2312yes—
441C2×#117C2312yes—
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2312yes—
449C22×C4⋊C4C2311yescharacteristic
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2312yes—
452C22×C4⋊C4C2312yes—
453C22×C4⋊C4C2314yes—
454C22×C22⋊C4C2311yescharacteristic
455C22×C22⋊C4C2311yescharacteristic
456C22×C22⋊C4C2312yes—
457C22×C22⋊C4C2312yes—
458C22×C42C2312yes—
459C22×C42C2312yes—
460C22×C42C2311yescharacteristic
461C22×C42C2311yescharacteristic
462#400C2314yes—
463#400C2314yes—
464#400C2314yes—
465#400C2314yes—
466#400C2314yes—
467#399C2314yes—
468#399C2314yes—
469#399C2314yes—
470#399C2314yes—
471#399C2314yes—
472#399C2314yes—
473#399C2314yes—
474#399C2314yes—
475#399C2314yes—
476#398C2312yes—
477#398C2312yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2314yes—
488#398C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2312yes—
492#397C2312yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#395C2314yes—
517#395C2314yes—
518#395C2314yes—
519#395C2312yes—
520#395C2312yes—
521#395C2314yes—
522#395C2314yes—
523#395C2314yes—
524#395C2314yes—
525#395C2314yes—
526#395C2314yes—
527#395C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#393C2314yes—
549#393C2312yes—
550#393C2312yes—
551#393C2314yes—
552#393C2314yes—
553#393C2314yes—
554#393C2314yes—
555#393C2314yes—
556#393C2314yes—
557#393C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#391C2314yes—
563#391C2314yes—
564#391C2312yes—
565#391C2312yes—
566#391C2312yes—
567#391C2314yes—
568#391C2314yes—
569#391C2314yes—
570#391C2314yes—
571#391C2314yes—
572#391C2314yes—
573#390C2312yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2314yes—
580#390C2314yes—
581#390C2314yes—
582#390C2314yes—
583#390C2314yes—
584#390C2314yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2314yes—
589#390C2314yes—
590#390C2314yes—
591#390C2314yes—
592#390C2314yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2312yes—
598#389C2312yes—
599#389C2312yes—
600#389C2312yes—
601#389C2314yes—
602#389C2314yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#389C2312yes—
607#389C2314yes—
608#389C2314yes—
609#389C2314yes—
610#389C2314yes—
611#389C2314yes—
612#389C2314yes—
613#389C2314yes—
614#389C2314yes—
615#389C2314yes—
616#389C2314yes—
617#389C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2314yes—
664#387C2314yes—
665#387C2314yes—
666#386C2312yes—
667#386C2312yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2312yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#384C2314yes—
705#384C2314yes—
706#384C2312yes—
707#384C2312yes—
708#384C2312yes—
709#383C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2312yes—
713#382C2312yes—
714#381C2312yes—
715#381C2312yes—
716#380C2312yes—
717#380C2311yescharacteristic
718#380C2311yescharacteristic
719#380C2312yes—
720#380C2312yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2314yes—
730#379C2312yes—
731C4×C4⋊C4C2312yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2312yes—
736C4×C4⋊C4C2311yescharacteristic
737C4×C4⋊C4C2311yescharacteristic
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2314yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2314yes—
743C4×C22⋊C4C2312yes—
744C4×C22⋊C4C2314yes—
745C4×C22⋊C4C2314yes—
746C4×C22⋊C4C2314yes—
747C4×C22⋊C4C2314yes—
748#376C2312yes—
749C25C2411yescharacteristic
750C2×#41—28no—
751C2×#41—28no—
752C2×#41—84no—
753C2×#41—84no—
754C22×Q8—28no—
755C22×Q8—84no—
756C22×Q8C2411yescharacteristic
757C22×Q8C2411yescharacteristic
758C22×Q8C2411yescharacteristic
759C22×Q8C2412yes—
760C22×Q8C2412yes—
761C22×Q8C2412yes—
762C22×Q8C2412yes—
763C22×Q8C2412yes—
764C22×Q8C2412yes—
765C22×Q8C2414yes—
766C22×Q8C2412yes—
767C22×Q8C2411yescharacteristic
768C22×Q8C2411yescharacteristic
769C22×D4C2411yescharacteristic
770C22×D4C2412yes—
771C22×D4C2412yes—
772C22×D4C2414yes—
773C22×D4C2414yes—
774C22×D4C2414yes—
775C22×D4C2414yes—
776C22×D4C2412yes—
777C22×D4C2412yes—
778C22×D4C2414yes—
779C22×D4C2414yes—
780C23×C4—24no—
781C23×C4—28no—
782C23×C4C2411yescharacteristic
783C23×C4C2412yes—
784C23×C4C2411yescharacteristic
785C23×C4C2412yes—
786C23×C4C2412yes—
787C23×C4C2412yes—
788C23×C4C2412yes—
789C23×C4C2412yes—
790C23×C4C2411yescharacteristic
791C23×C4C2411yescharacteristic
792C23×C4C2414yes—
793C23×C4C2414yes—
794C23×C4C2414yes—
795C23×C4C2412yes—
796C23×C4C2414yes—
797C23×C4C2411yescharacteristic
798C23×C4C2411yescharacteristic
799C4⋊Q8—28no—
800C4⋊Q8—28no—
801C4⋊Q8—28no—
802C4⋊Q8—28no—
803C4⋊Q8—28no—
804C4⋊Q8—28no—
805C4⋊Q8—28no—
806C4⋊Q8—28no—
807C4⋊Q8—28no—
808C4⋊Q8—28no—
809C4⋊Q8—28no—
810C4⋊Q8—24no—
811C4⋊Q8—24no—
812C4⋊Q8—24no—
813C4⋊Q8—28no—
814C4⋊Q8—84no—
815C4⋊Q8C2×D418yes—
816C4⋊Q8C2×D418yes—
817#127—24no—
818#127—28no—
819#126—216no—
820#126—28no—
821#125—28no—
822#125—28no—
823#125—28no—
824#125—28no—
825#125—28no—
826#125—28no—
827#125—28no—
828#125—28no—
829#125—28no—
830#125—28no—
831#125—216no—
832#125—24no—
833#125—28no—
834#125—28no—
835#125C2×D4116yes—
836#124—28no—
837#124—216no—
838#124—216no—
839#124—24no—
840#124—28no—
841#124—28no—
842#124—84no—
843#124—84no—
844#124—84no—
845#123—28no—
846#123—216no—
847#123—216no—
848#123—216no—
849#123—216no—
850#123—216no—
851#123—216no—
852#123—82no—
853#123—84no—
854C22⋊Q8—28no—
855C22⋊Q8—28no—
856C22⋊Q8—28no—
857C22⋊Q8—28no—
858C22⋊Q8—216no—
859C22⋊Q8—24no—
860C22⋊Q8—24no—
861C22⋊Q8—24no—
862C22⋊Q8—28no—
863C22⋊Q8—28no—
864C22⋊Q8—28no—
865C22⋊Q8—28no—
866C22⋊Q8—28no—
867C22⋊Q8—28no—
868C22⋊Q8—28no—
869C22⋊Q8—28no—
870C22⋊Q8—28no—
871C22⋊Q8—28no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—28no—
876C22⋊Q8—216no—
877C22⋊Q8—216no—
878C22⋊Q8—216no—
879C22⋊Q8—216no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—28no—
883C22⋊Q8—28no—
884C22⋊Q8—28no—
885C22⋊Q8—84no—
886C22⋊Q8—84no—
887C22⋊Q8—84no—
888C22⋊Q8—84no—
889C22⋊Q8—84no—
890C22⋊Q8—84no—
891C22⋊Q8C2×D418yes—
892C22⋊Q8C2×D418yes—
893C22⋊Q8C2×D4116yes—
894#121—24no—
895#121—28no—
896#121—28no—
897#121—28no—
898#121—28no—
899#121—28no—
900#121—216no—
901#121—28no—
902#121—216no—
903#121—216no—
904#121—84no—
905#121—84no—
906#120—82no—
907#120—84no—
908C4×Q8—28no—
909C4×Q8—24no—
910C4×Q8—28no—
911C4×Q8—28no—
912C4×Q8—28no—
913C4×Q8—28no—
914C4×Q8—24no—
915C4×Q8—24no—
916C4×Q8—28no—
917C4×Q8—28no—
918C4×Q8—84no—
919C4×Q8C2×D418yes—
920C4×Q8C2×D418yes—
921C4×Q8C2×D4116yes—
922C4×D4—28no—
923C4×D4—216no—
924C4×D4—28no—
925C4×D4—24no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—84no—
932C4×D4—84no—
933C4×D4—84no—
934#117—28no—
935#117—28no—
936#117—28no—
937#117—28no—
938#117—28no—
939#117—28no—
940#117—28no—
941#117—28no—
942#117—28no—
943#117—28no—
944#117—28no—
945#117—28no—
946#117—82no—
947#117C2×D4116yes—
948C2×C4⋊C4—24no—
949C2×C4⋊C4—24no—
950C2×C4⋊C4—28no—
951C2×C4⋊C4—28no—
952C2×C4⋊C4—216no—
953C2×C4⋊C4C2412yes—
954C2×C4⋊C4C2412yes—
955C2×C4⋊C4C2412yes—
956C2×C4⋊C4C2412yes—
957C2×C4⋊C4C2412yes—
958C2×C4⋊C4C2412yes—
959C2×C4⋊C4C2412yes—
960C2×C4⋊C4C2412yes—
961C2×C4⋊C4C2412yes—
962C2×C4⋊C4C2412yes—
963C2×C4⋊C4C2412yes—
964C2×C4⋊C4C2414yes—
965C2×C4⋊C4C2414yes—
966C2×C4⋊C4C2412yes—
967C2×C4⋊C4C2412yes—
968C2×C4⋊C4C2411yescharacteristic
969C2×C4⋊C4C2411yescharacteristic
970C2×C4⋊C4C2412yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2414yes—
973C2×C4⋊C4C2411yescharacteristic
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2412yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2414yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2414yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C22⋊C4—24no—
1027C2×C22⋊C4—24no—
1028C2×C22⋊C4—28no—
1029C2×C22⋊C4—28no—
1030C2×C22⋊C4C2412yes—
1031C2×C22⋊C4C2412yes—
1032C2×C22⋊C4C2412yes—
1033C2×C22⋊C4C2412yes—
1034C2×C22⋊C4C2412yes—
1035C2×C22⋊C4C2412yes—
1036C2×C22⋊C4C2412yes—
1037C2×C22⋊C4C2412yes—
1038C2×C22⋊C4C2412yes—
1039C2×C22⋊C4C2412yes—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C42—24no—
1084C2×C42—28no—
1085C2×C42—28no—
1086C2×C42C2×D418yes—
1087C2×C42C2412yes—
1088C2×C42C2412yes—
1089C2×C42C2412yes—
1090C2×C42C2412yes—
1091C2×C42C2412yes—
1092C2×C42C2412yes—
1093C2×C42C2412yes—
1094C2×C42C2412yes—
1095C2×C42C2412yes—
1096C2×C42C2414yes—
1097C2×C42C2414yes—
1098C2×C42C2414yes—
1099C2×C42C2414yes—
1100C2×C42C2414yes—
1101C2×C42C2412yes—
1102C2×C42C2414yes—
1103C2×C42C2412yes—
1104C2×C42C2411yescharacteristic
1105C2×C42C2411yescharacteristic
1106C2×C42C2412yes—
1107C2×C42C2411yescharacteristic
1108C2×C42C2412yes—
1109C2×C42C2411yescharacteristic
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120#95C2414yes—
1121#95C2412yes—
1122#95C2414yes—
1123#95C2412yes—
1124#95C2414yes—
1125#95C2412yes—
1126#95C2412yes—
1127#95C2414yes—
1128#95C2414yes—
1129#95C2414yes—
1130#95C2414yes—
1131#95C2414yes—
1132#95C2414yes—
1133#95C2414yes—
1134#95C2414yes—
1135#95C2414yes—
1136#95C2414yes—
1137#95C2414yes—
1138#95C2414yes—
1139#95C2414yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148C24—22no—
1149C24—24no—
1150C24—41no—
1151C24—42no—
1152C24—41no—
1153C24C2514yes—
1154C24C2512yes—
1155C24C2511yescharacteristic
1156C24C2512yes—
1157#41—816no—
1158#41—816no—
1159C2×Q8—22no—
1160C2×Q8—24no—
1161C2×Q8—24no—
1162C2×Q8—24no—
1163C2×Q8—24no—
1164C2×Q8—24no—
1165C2×Q8—24no—
1166C2×Q8—22no—
1167C2×Q8—22no—
1168C2×Q8—28no—
1169C2×Q8—24no—
1170C2×Q8—42no—
1171C2×Q8—42no—
1172C2×Q8—44no—
1173C2×Q8—42no—
1174C2×Q8—42no—
1175C2×Q8—42no—
1176C2×Q8—42no—
1177C2×Q8—42no—
1178C2×Q8—42no—
1179C2×Q8—42no—
1180C2×Q8—44no—
1181C2×Q8—42no—
1182C2×Q8—42no—
1183C2×Q8—42no—
1184C2×Q8—42no—
1185C2×Q8—44no—
1186C2×Q8—42no—
1187C2×Q8—42no—
1188C2×Q8—42no—
1189C2×Q8—816no—
1190C2×Q8C22×D418yes—
1191C2×Q8C22×D414yes—
1192C2×Q8C22×D414yes—
1193C2×D4—24no—
1194C2×D4—28no—
1195C2×D4—28no—
1196C2×D4—28no—
1197C2×D4—28no—
1198C2×D4—22no—
1199C2×D4—24no—
1200C2×D4—24no—
1201C2×D4—24no—
1202C2×D4—28no—
1203C2×D4—28no—
1204C2×D4—24no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—44no—
1208C2×D4—44no—
1209C2×D4—44no—
1210C2×D4—44no—
1211C2×D4—44no—
1212C2×D4—44no—
1213C2×D4—42no—
1214C2×D4—44no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—42no—
1219C2×D4—44no—
1220C2×D4—44no—
1221C2×D4—42no—
1222C2×D4—44no—
1223C2×D4—42no—
1224C22×C4—232no—
1225C22×C4—22no—
1226C22×C4—24no—
1227C22×C4—24no—
1228C22×C4—24no—
1229C22×C4—24no—
1230C22×C4—24no—
1231C22×C4—24no—
1232C22×C4—24no—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—24no—
1236C22×C4—24no—
1237C22×C4—24no—
1238C22×C4—24no—
1239C22×C4—24no—
1240C22×C4—28no—
1241C22×C4—28no—
1242C22×C4—28no—
1243C22×C4—28no—
1244C22×C4—41no—
1245C22×C4—41no—
1246C22×C4—44no—
1247C22×C4—42no—
1248C22×C4—42no—
1249C22×C4—42no—
1250C22×C4—42no—
1251C22×C4—44no—
1252C22×C4—44no—
1253C22×C4—44no—
1254C22×C4—42no—
1255C22×C4—42no—
1256C22×C4—42no—
1257C22×C4—44no—
1258C22×C4—44no—
1259C22×C4—44no—
1260C22×C4—44no—
1261C22×C4—41no—
1262C22×C4—42no—
1263C22×C4—42no—
1264C22×C4—44no—
1265C22×C4—42no—
1266C22×C4—41no—
1267C22×C4C22×D414yes—
1268C22×C4C22×D414yes—
1269C22×C4C22×D414yes—
1270C22×C42−1+418yes—
1271C22×C4C2514yes—
1272C22×C4C2512yes—
1273C22×C4C2514yes—
1274C22×C4C2514yes—
1275C22×C4C2514yes—
1276C22×C4C2512yes—
1277C22×C4C2512yes—
1278C22×C4C2512yes—
1279C22×C4C2512yes—
1280C22×C4C2514yes—
1281C22×C4C2512yes—
1282C22×C4C2512yes—
1283C22×C4C2512yes—
1284C22×C4C2512yes—
1285C22×C4C2511yescharacteristic
1286C22×C4C2511yescharacteristic
1287C22×C4C2511yescharacteristic
1288C22×C4C2512yes—
1289C22×C4C2512yes—
1290C22×C4C2512yes—
1291C22×C4C2512yes—
1292C22×C4C2511yescharacteristic
1293C22×C4C2511yescharacteristic
1294C22×C4C2512yes—
1295C22×C4C2511yescharacteristic
1296C4⋊C4—24no—
1297C4⋊C4—24no—
1298C4⋊C4—24no—
1299C4⋊C4—24no—
1300C4⋊C4—24no—
1301C4⋊C4—24no—
1302C4⋊C4—24no—
1303C4⋊C4—24no—
1304C4⋊C4—24no—
1305C4⋊C4—24no—
1306C4⋊C4—24no—
1307C4⋊C4—28no—
1308C4⋊C4—28no—
1309C4⋊C4—24no—
1310C4⋊C4—24no—
1311C4⋊C4—22no—
1312C4⋊C4—22no—
1313C4⋊C4—24no—
1314C4⋊C4—24no—
1315C4⋊C4—28no—
1316C4⋊C4—24no—
1317C4⋊C4—24no—
1318C4⋊C4—24no—
1319C4⋊C4—24no—
1320C4⋊C4—24no—
1321C4⋊C4—24no—
1322C4⋊C4—24no—
1323C4⋊C4—24no—
1324C4⋊C4—24no—
1325C4⋊C4—24no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—22no—
1334C4⋊C4—22no—
1335C4⋊C4—28no—
1336C4⋊C4—24no—
1337C4⋊C4—24no—
1338C4⋊C4—24no—
1339C4⋊C4—24no—
1340C4⋊C4—24no—
1341C4⋊C4—28no—
1342C4⋊C4—44no—
1343C4⋊C4—44no—
1344C4⋊C4—44no—
1345C4⋊C4—44no—
1346C4⋊C4—44no—
1347C4⋊C4—44no—
1348C4⋊C4—44no—
1349C4⋊C4—44no—
1350C4⋊C4—44no—
1351C4⋊C4—44no—
1352C4⋊C4—44no—
1353C4⋊C4—44no—
1354C4⋊C4—44no—
1355C4⋊C4—44no—
1356C4⋊C4—44no—
1357C4⋊C4—44no—
1358C4⋊C4—44no—
1359C4⋊C4—44no—
1360C4⋊C4C22×D418yes—
1361C4⋊C4C22×D418yes—
1362C4⋊C4C22×D418yes—
1363C4⋊C4C22×D414yes—
1364C4⋊C4C22×D418yes—
1365C4⋊C4C22×D414yes—
1366C4⋊C4C22×D418yes—
1367C4⋊C4C22×D418yes—
1368C4⋊C4C22×D418yes—
1369C22⋊C4—24no—
1370C22⋊C4—24no—
1371C22⋊C4—24no—
1372C22⋊C4—28no—
1373C22⋊C4—24no—
1374C22⋊C4—24no—
1375C22⋊C4—24no—
1376C22⋊C4—24no—
1377C22⋊C4—24no—
1378C22⋊C4—24no—
1379C22⋊C4—24no—
1380C22⋊C4—24no—
1381C22⋊C4—24no—
1382C22⋊C4—24no—
1383C22⋊C4—24no—
1384C22⋊C4—24no—
1385C22⋊C4—28no—
1386C22⋊C4—28no—
1387C22⋊C4—28no—
1388C22⋊C4—28no—
1389C22⋊C4—28no—
1390C22⋊C4—28no—
1391C22⋊C4—28no—
1392C22⋊C4—28no—
1393C22⋊C4—28no—
1394C22⋊C4—28no—
1395C22⋊C4—44no—
1396C22⋊C4—44no—
1397C22⋊C4—42no—
1398C22⋊C4—42no—
1399C22⋊C4—44no—
1400C22⋊C4—44no—
1401C22⋊C4—44no—
1402C22⋊C4—44no—
1403C22⋊C4—44no—
1404C22⋊C4—44no—
1405C22⋊C4—44no—
1406C22⋊C4—44no—
1407C22⋊C4—44no—
1408C22⋊C4—44no—
1409C22⋊C4—44no—
1410C22⋊C4—44no—
1411C22⋊C4—44no—
1412C22⋊C4—44no—
1413C22⋊C4—44no—
1414C22⋊C4—44no—
1415C22⋊C4—44no—
1416C22⋊C4—44no—
1417C22⋊C4—44no—
1418C22⋊C4—44no—
1419C22⋊C4—44no—
1420C22⋊C4C22×D418yes—
1421C22⋊C4C22×D418yes—
1422C42—24no—
1423C42—24no—
1424C42—24no—
1425C42—24no—
1426C42—24no—
1427C42—24no—
1428C42—24no—
1429C42—24no—
1430C42—24no—
1431C42—28no—
1432C42—42no—
1433C42—44no—
1434C42—44no—
1435C42—44no—
1436C42—44no—
1437C42—42no—
1438C42—44no—
1439C42C22×D418yes—
1440C42C22×D418yes—
1441C42C22×D414yes—
1442C42C22×D414yes—
1443C42C22×D414yes—
1444C42C22×D414yes—
1445C23—28no—
1446C23—22no—
1447C23—22no—
1448C23—22no—
1449C23—21no—
1450C23—22no—
1451C23—22no—
1452C23—22no—
1453C23—22no—
1454C23—21no—
1455C23—22no—
1456C23—22no—
1457C23—24no—
1458C23—24no—
1459C23—24no—
1460C23—24no—
1461C23—24no—
1462C23—24no—
1463C23—22no—
1464C23—24no—
1465C23—24no—
1466C23—22no—
1467C23—24no—
1468C23—82no—
1469C23—82no—
1470C23—84no—
1471C23—84no—
1472C23C23×D412yes—
1473C23C2×2−1+414yes—
1474C23C2611yescharacteristic
1475Q8—44no—
1476Q8—48no—
1477Q8—44no—
1478Q8—48no—
1479Q8—44no—
1480Q8—82no—
1481Q8—82no—
1482Q8—84no—
1483Q8—84no—
1484Q8—84no—
1485Q8—84no—
1486Q8—84no—
1487Q8—88no—
1488D4—48no—
1489D4—44no—
1490D4—48no—
1491D4—84no—
1492D4—88no—
1493D4—88no—
1494D4—84no—
1495D4—88no—
1496D4—88no—
1497D4—88no—
1498D4—88no—
1499C2×C4—216no—
1500C2×C4—28no—
1501C2×C4—22no—
1502C2×C4—22no—
1503C2×C4—22no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—22no—
1507C2×C4—22no—
1508C2×C4—22no—
1509C2×C4—22no—
1510C2×C4—22no—
1511C2×C4—22no—
1512C2×C4—22no—
1513C2×C4—22no—
1514C2×C4—21no—
1515C2×C4—22no—
1516C2×C4—21no—
1517C2×C4—22no—
1518C2×C4—28no—
1519C2×C4—216no—
1520C2×C4—22no—
1521C2×C4—22no—
1522C2×C4—22no—
1523C2×C4—22no—
1524C2×C4—22no—
1525C2×C4—22no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—24no—
1529C2×C4—22no—
1530C2×C4—24no—
1531C2×C4—24no—
1532C2×C4—24no—
1533C2×C4—24no—
1534C2×C4—24no—
1535C2×C4—24no—
1536C2×C4—24no—
1537C2×C4—24no—
1538C2×C4—24no—
1539C2×C4—24no—
1540C2×C4—24no—
1541C2×C4—22no—
1542C2×C4—24no—
1543C2×C4—22no—
1544C2×C4—22no—
1545C2×C4—22no—
1546C2×C4—22no—
1547C2×C4—22no—
1548C2×C4—22no—
1549C2×C4—22no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—24no—
1553C2×C4—24no—
1554C2×C4—24no—
1555C2×C4—24no—
1556C2×C4—22no—
1557C2×C4—22no—
1558C2×C4—22no—
1559C2×C4—22no—
1560C2×C4—44no—
1561C2×C4—44no—
1562C2×C4—48no—
1563C2×C4—84no—
1564C2×C4—84no—
1565C2×C4—88no—
1566C2×C4—84no—
1567C2×C4—84no—
1568C2×C4—88no—
1569C2×C4—88no—
1570C2×C4—88no—
1571C2×C4—82no—
1572C2×C4—82no—
1573C2×C4C23×D414yes—
1574C2×C4C23×D412yes—
1575C2×C4C23×D412yes—
1576C2×C4C23×D414yes—
1577C2×C4C23×D414yes—
1578C2×C4C23×D414yes—
1579C2×C4C23×D412yes—
1580C2×C4C23×D412yes—
1581C2×C4C23×D412yes—
1582C2×C4C23×D412yes—
1583C2×C4C2×2−1+414yes—
1584C2×C4C2×2−1+414yes—
1585C22—22no—
1586C22—24no—
1587C22—22no—
1588C22—22no—
1589C22—24no—
1590C22—24no—
1591C22—42no—
1592C22—42no—
1593C22—42no—
1594C22—42no—
1595C22—42no—
1596C22—42no—
1597C22—42no—
1598C22—44no—
1599C22—42no—
1600C22—44no—
1601C22—44no—
1602C22—42no—
1603C22—44no—
1604C22—44no—
1605C22—44no—
1606C22—44no—
1607C22—44no—
1608C22—44no—
1609C22—88no—
1610C22C24×D411yescharacteristic
1611C22C22×2−1+412yes—
1612C22H(7,𝔽2)12yes—
1613C22H(7,𝔽2)11yescharacteristic
1614C222−1+611yescharacteristic
1615C4—22no—
1616C4—24no—
1617C4—22no—
1618C4—22no—
1619C4—24no—
1620C4—24no—
1621C4—22no—
1622C4—22no—
1623C4—24no—
1624C4—24no—
1625C4—42no—
1626C4—42no—
1627C4—44no—
1628C4—42no—
1629C4—42no—
1630C4—42no—
1631C4—42no—
1632C4—42no—
1633C4—42no—
1634C4—42no—
1635C4—44no—
1636C4—44no—
1637C4—44no—
1638C4—44no—
1639C4#348614yes—
1640C2—42no—
1641C2—44no—
1642C2—82no—
1643C2—84no—
1644C2C2×#348611yescharacteristic
1645C2#6285211yescharacteristic
1646C2#6285311yescharacteristic
1647C2#6287912yes—
1648C2#6288112yes—
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. C2×#3554C2semidirect
2. C2×#3458C2semidirect
3. #49567C2semidirect
4. #49549C2semidirect
5. #49548C2semidirect
6. #47856C2semidirect
7. #47833C2semidirect
8. #47832C2semidirect
9. #47798C2semidirect
10. #47795C2semidirect
11. #47720C2semidirect
12. #47692C2semidirect
13. #39726C2semidirect
14. #39725C2semidirect
15. #39718C2semidirect
16. #39718C2semidirect
17. #39598C2semidirect
18. #39596C2semidirect
19. #39591C2semidirect
20. #39590C2semidirect
21. #37640C2semidirect
22. #37551C2semidirect
23. #37275C2semidirect
24. #37274C2semidirect
25. #35302C2semidirect
26. #35301C2semidirect
27. #35261C2semidirect
28. #35260C2semidirect
29. #34373C2semidirect
32. C2×#559C22semidirect
33. C2×#559C22semidirect
34. C2×#557C22semidirect
35. C2×#554C22semidirect
36. C2×#550C22semidirect
37. C2×D4×Q8C22semidirect
52. C2×#542C22semidirect
54. C2×#539C22semidirect
55. C2×#536C22semidirect
77. #2821C22semidirect
78. #2821C22semidirect
79. #2820C22semidirect
80. #2734C22semidirect
82. #2731C22semidirect
83. #2731C22semidirect
87. #2729C22semidirect
88. #2721C22semidirect
90. #2720C22semidirect
91. #2720C22semidirect
92. #2716C22semidirect
93. #2713C22semidirect
94. #2711C22semidirect
95. #2711C22semidirect
96. #2707C22semidirect
97. #2707C22semidirect
98. #2704C22semidirect
99. #2704C22semidirect
103. #2694C22semidirect
104. #2694C22semidirect
108. #2690C22semidirect
117. #2677C22semidirect
118. #2677C22semidirect
122. #2674C22semidirect
123. #2674C22semidirect
124. #2674C22semidirect
125. #2674C22semidirect
146. #2611C22semidirect
151. #2592C22semidirect
152. #2592C22semidirect
153. #2592C22semidirect
154. #2592C22semidirect
156. #2584C22semidirect
157. #2584C22semidirect
158. #2584C22semidirect
159. #2584C22semidirect
160. #2582C22semidirect
161. #2581C22semidirect
162. #2581C22semidirect
163. #2580C22semidirect
164. #2580C22semidirect
165. #2580C22semidirect
166. #2580C22semidirect
168. #2567C22semidirect
169. #2567C22semidirect
170. #2558C22semidirect
171. #2558C22semidirect
173. #2556C22semidirect
174. #2548C22semidirect
175. #2548C22semidirect
176. #2548C22semidirect
177. #2547C22semidirect
178. #2546C22semidirect
179. #2545C22semidirect
181. #2542C22semidirect
185. #2538C22semidirect
186. #2538C22semidirect
187. #2538C22semidirect
188. #2538C22semidirect
189. #2538C22semidirect
191. #2506C22semidirect
192. #2492C22semidirect
193. #2491C22semidirect
200. #2473C22semidirect
208. #2462C22semidirect
211. #2460C22semidirect
212. #2460C22semidirect
214. #2452C22semidirect
219. #2440C22semidirect
220. #2434C22semidirect
221. #2432C22semidirect
222. #2429C22semidirect
238. #2355C22semidirect
239. #2355C22semidirect
240. #2355C22semidirect
241. Q8×C4⋊C4C22semidirect
242. #2336C22semidirect
243. #2331C22semidirect
244. #2327C22semidirect
295. #533D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35542
C2×#34582
#495672
#495492
#495482
#478562
#478332
#478322
#477982
#477952
#477202
#476922
#397262
#397252
#397182
#395982
#395962
#395912
#395902
#376402
#375512
#372752
#372742
#353022
#353012
#352612
#352602
#343732