Finite Group Databasebeta

← #7732371

Subgroups — #7732371

Order 512.

6924 conjugacy classes of subgroups.

The subgroup lattice has 1693 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3559C211yesmaximal, characteristic, complemented
2C2×#3461C211yesmaximal, characteristic, complemented
3#51334C214yesmaximal, complemented
4#51333C214yesmaximal, complemented
5#47688C214yesmaximal, complemented
6#47682C214yesmaximal, complemented
7#44758C214yesmaximal, complemented
8#43974C214yesmaximal, complemented
9#39598C212yesmaximal, complemented
10#39590C212yesmaximal, complemented
11#39421C212yesmaximal, complemented
12#39413C212yesmaximal, complemented
13#39384C212yesmaximal, complemented
14#39359C212yesmaximal, complemented
15#38049C212yesmaximal, complemented
16#38042C212yesmaximal, complemented
17#38042C212yesmaximal, complemented
18#38041C212yesmaximal, complemented
19#37549C211yesmaximal, characteristic, complemented
20#37279C212yesmaximal, complemented
21#37274C212yesmaximal, complemented
22#36361C212yesmaximal, complemented
23#36259C212yesmaximal, complemented
24#35567C212yesmaximal, complemented
25#35566C212yesmaximal, complemented
26#35238C211yesmaximal, characteristic, complemented
27#35178C211yesmaximal, characteristic, complemented
28C2×#2584C211yesmaximal, characteristic, complemented
29#34243C211yesmaximal, characteristic, complemented
30#3559—216no—
31C2×#563C2212yes—
32C2×#562C2212yes—
33C2×#554C2212yes—
34C2×#553C2212yes—
35C2×#553C2212yes—
36C2×#547C2212yes—
37C2×#547C2214yes—
38C2×#547C2214yes—
39#3461—216no—
40C2×#544C2212yes—
41C2×#544C2211yescharacteristic
42C2×#542C2212yes—
43C2×#542C2212yes—
44C2×#541C2212yes—
45C2×#541C2212yes—
46C2×#540C2212yes—
47C2×#539C2214yes—
48C2×#539C2212yes—
49C2×#539C2212yes—
50C2×#539C2211yescharacteristic
51C2×#539C2211yescharacteristic
52C2×#537C2212yes—
53C2×#537C2211yescharacteristic
54C2×#536C2212yes—
55C2×#536C2212yes—
56C2×#533C2212yes—
57C2×#533C2212yes—
58C2×#532C2211yescharacteristic
59C2×#529C2212yes—
60C2×#529C2212yes—
61C2×#529C2212yes—
62C2×#529C2211yescharacteristic
63C2×#529C2211yescharacteristic
64C22×#125C2211yescharacteristic
65C2×C4×#41C2212yes—
66C22×C4×Q8C2211yescharacteristic
67#2857C2212yes—
68#2856C2212yes—
69#2854C2212yes—
70#2854C2212yes—
71#2854C2212yes—
72#2854C2212yes—
73#2851C2212yes—
74#2850C2212yes—
75#2822C2212yes—
76#2820C2212yes—
77#2732C2214yes—
78#2729C2214yes—
79#2727C2214yes—
80#2727C2214yes—
81#2725C2214yes—
82#2725C2214yes—
83#2723C2214yes—
84#2720C2214yes—
85#2719C2214yes—
86#2718C2214yes—
87#2716C2214yes—
88#2710C2214yes—
89#2706C2214yes—
90#2704C2214yes—
91#2704C2214yes—
92#2701C2214yes—
93#2698C2214yes—
94#2695C2214yes—
95#2695C2214yes—
96#2694C2214yes—
97#2694C2214yes—
98#2694C2214yes—
99#2692C2214yes—
100#2687C2214yes—
101#2683C2214yes—
102#2683C2214yes—
103#2682C2214yes—
104#2681C2214yes—
105#2681C2214yes—
106#2681C2214yes—
107#2680C2214yes—
108#2677C2214yes—
109#2677C2214yes—
110#2674C2214yes—
111#2674C2214yes—
112#2674C2214yes—
113#2672C2214yes—
114#2672C2214yes—
115#2672C2214yes—
116#2672C2214yes—
117#2664C2214yes—
118#2662C2214yes—
119#2629C2212yes—
120#2629C2212yes—
121#2629C2212yes—
122#2628C2212yes—
123#2627C2212yes—
124#2624C2212yes—
125#2624C2212yes—
126#2618C2212yes—
127#2618C2212yes—
128#2618C2212yes—
129#2584C2212yes—
130#2584C2214yes—
131#2584C2214yes—
132#2584C2212yes—
133#2584C2212yes—
134#2584C2212yes—
135#2584C2212yes—
136#2584C2212yes—
137#2584C2212yes—
138#2580C2212yes—
139#2580C2212yes—
140#2567C2212yes—
141#2567C2211yescharacteristic
142#2566C2212yes—
143#2563C2211yescharacteristic
144#2562C2212yes—
145#2559C2214yes—
146#2558C2214yes—
147#2556C2214yes—
148#2555C2214yes—
149#2554C2214yes—
150#2552C2214yes—
151#2551C2214yes—
152#2550C2214yes—
153#2550C2214yes—
154#2549C2214yes—
155#2549C2214yes—
156#2548C2212yes—
157#2548C2211yescharacteristic
158#2546C2212yes—
159#2546C2212yes—
160#2545C2214yes—
161#2544C2212yes—
162#2541C2211yescharacteristic
163#2538C2212yes—
164#2538C2212yes—
165#2538C2214yes—
166#2538C2212yes—
167#2538C2212yes—
168#2536C2214yes—
169#2519C2214yes—
170#2512C2214yes—
171#2501C2214yes—
172#2488C2214yes—
173#2487C2212yes—
174#2487C2212yes—
175#2486C2212yes—
176#2486C2212yes—
177#2485C2212yes—
178#2485C2212yes—
179#2479C2214yes—
180#2473C2214yes—
181#2470C2214yes—
182#2469C2214yes—
183#2468C2214yes—
184#2464C2214yes—
185#2461C2214yes—
186#2461C2214yes—
187#2455C2214yes—
188#2452C2214yes—
189#2449C2214yes—
190#2449C2214yes—
191#2449C2214yes—
192#2445C2214yes—
193#2443C2214yes—
194#2440C2214yes—
195#2440C2214yes—
196#2440C2214yes—
197#2430C2214yes—
198#2430C2214yes—
199#2430C2214yes—
200#2429C2214yes—
201#2429C2214yes—
202#2428C2214yes—
203#2425C2214yes—
204#2425C2214yes—
205#2425C2214yes—
206#2425C2214yes—
207#2425C2214yes—
208#2425C2214yes—
209#2417C2214yes—
210#2416C2212yes—
211#2416C2214yes—
212#2416C2212yes—
213#2416C2212yes—
214#2416C2212yes—
215#2416C2214yes—
216#2415C2214yes—
217#2414C2212yes—
218#2414C2212yes—
219#2413C2214yes—
220#2413C2214yes—
221#2413C2214yes—
222#2406C2214yes—
223C2×#398C2212yes—
224C2×#395C2212yes—
225#2370C2212yes—
226#2367C2212yes—
227#2361C2214yes—
228#2359C2214yes—
229#2359C2214yes—
230#2355C2211yescharacteristic
231#2354C2211yescharacteristic
232#2352C2212yes—
233Q8×C4⋊C4C2211yescharacteristic
234D4×C4⋊C4C2211yescharacteristic
235D4×C4⋊C4C2212yes—
236#2339C2214yes—
237#2334C2214yes—
238#2324C2212yes—
239#2324C2212yes—
240#2324C2212yes—
241#2324C2212yes—
242#2317C2212yes—
243#2316C2212yes—
244#2314C2212yes—
245#2311C2212yes—
246C4×C22⋊Q8C2212yes—
247C4×#121C2212yes—
248C4×#121C2212yes—
249C4×#121C2212yes—
250#2296C2212yes—
251C2×#389C2211yescharacteristic
252C2×#389C2211yescharacteristic
253C2×#389C2211yescharacteristic
254C2×#389C2211yescharacteristic
255C2×#389C2212yes—
256C2×#389C2212yes—
257C2×#389C2212yes—
258#2285C2211yescharacteristic
259#2274C2212yes—
260C2×C4×C4⋊C4C2211yescharacteristic
261C22×#41C2312yes—
262C22×#41C2312yes—
263C22×#41C2314yes—
264C23×Q8C2311yescharacteristic
265#563—216no—
266#562—216no—
267#554—216no—
268#553—216no—
269#553—216no—
270#547—232no—
271#547—216no—
272#547—416no—
273#544—28no—
274#544—216no—
275#542—216no—
276#542—216no—
277#541—216no—
278#541—216no—
279#540—216no—
280#539—232no—
281#539—216no—
282#539—28no—
283#539—216no—
284#539—28no—
285#537—28no—
286#537—216no—
287#536—216no—
288#536—48no—
289#533—216no—
290#533—216no—
291#532—28no—
292C2×C4⋊Q8C2311yescharacteristic
293C2×C4⋊Q8C2312yes—
294C2×C4⋊Q8C2312yes—
295C2×C4⋊Q8C2312yes—
296C2×C4⋊Q8C2312yes—
297C2×C4⋊Q8C2312yes—
298C2×C4⋊Q8C2314yes—
299C2×C4⋊Q8C2314yes—
300C2×C4⋊Q8C2314yes—
301C2×#127C2311yescharacteristic
302C2×#127C2312yes—
303#529—216no—
304#529—216no—
305#529—216no—
306#529—28no—
307#529D4116yescomplemented
308C2×#126C2312yes—
309C2×#126C2312yes—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2312yes—
318C2×#125—28no—
319C2×#125C2312yes—
320C2×#125C2312yes—
321C2×#125C2311yescharacteristic
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#125C2314yes—
333C2×#125C2311yescharacteristic
334C2×#124C2311yescharacteristic
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2314yes—
340C2×#124C2312yes—
341C2×#124C2311yescharacteristic
342C2×#123C2314yes—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2312yes—
350C2×#123C2312yes—
351C2×#123C2312yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2314yes—
361C2×#123C2312yes—
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2314yes—
377C2×C22⋊Q8C2314yes—
378C2×C22⋊Q8C2314yes—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2314yes—
385C2×C22⋊Q8C2311yescharacteristic
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2311yescharacteristic
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2314yes—
397C2×#121C2314yes—
398C2×#121C2314yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2311yescharacteristic
405C4×#41—216no—
406C2×C4×Q8—28no—
407C2×C4×Q8C2312yes—
408C2×C4×Q8C2311yescharacteristic
409C2×C4×Q8C2312yes—
410C2×C4×Q8C2312yes—
411C2×C4×Q8C2312yes—
412C2×C4×Q8C2312yes—
413C2×C4×Q8C2312yes—
414C2×C4×Q8C2312yes—
415C2×C4×Q8C2312yes—
416C2×C4×Q8C2311yescharacteristic
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2314yes—
430C2×C4×D4C2314yes—
431C2×C4×D4C2314yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2314yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2311yescharacteristic
436C2×#117C2312yes—
437C2×#117C2312yes—
438C2×#117C2312yes—
439C2×#117C2312yes—
440C2×#117C2312yes—
441C2×#117C2312yes—
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C22×C4⋊C4C2311yescharacteristic
447C22×C4⋊C4C2312yes—
448C22×C4⋊C4C2312yes—
449C22×C4⋊C4C2311yescharacteristic
450C22×C4⋊C4C2311yescharacteristic
451C22×C4⋊C4C2311yescharacteristic
452C22×C4⋊C4C2311yescharacteristic
453C22×C4⋊C4C2312yes—
454C22×C4⋊C4C2312yes—
455C22×C4⋊C4C2312yes—
456C22×C4⋊C4C2311yescharacteristic
457C22×C4⋊C4C2311yescharacteristic
458C22×C4⋊C4C2314yes—
459C22×C4⋊C4C2312yes—
460C22×C4⋊C4C2314yes—
461C22×C4⋊C4C2312yes—
462C22×C4⋊C4C2312yes—
463C22×C42C2312yes—
464C22×C42C2311yescharacteristic
465C22×C42C2311yescharacteristic
466C22×C42C2312yes—
467C22×C42C2312yes—
468C22×C42C2311yescharacteristic
469#400C2314yes—
470#400C2314yes—
471#400C2314yes—
472#400C2314yes—
473#399C2314yes—
474#399C2314yes—
475#399C2314yes—
476#399C2314yes—
477#399C2314yes—
478#399C2314yes—
479#399C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2314yes—
488#398C2314yes—
489#398C2314yes—
490#398C2314yes—
491#398C2314yes—
492#398C2314yes—
493#398C2314yes—
494#398C2314yes—
495#398C2314yes—
496#398C2314yes—
497#398C2314yes—
498#398C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#395C2314yes—
524#395C2314yes—
525#395C2314yes—
526#395C2314yes—
527#395C2314yes—
528#395C2314yes—
529#395C2314yes—
530#395C2314yes—
531#395C2314yes—
532#395C2314yes—
533#395C2314yes—
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#394C2314yes—
549#394C2314yes—
550#393C2314yes—
551#393C2314yes—
552#393C2314yes—
553#393C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#391C2314yes—
558#391C2312yes—
559#391C2314yes—
560#391C2314yes—
561#391C2314yes—
562#391C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2314yes—
567#390C2312yes—
568#390C2312yes—
569#390C2312yes—
570#390C2312yes—
571#390C2314yes—
572#390C2314yes—
573#390C2314yes—
574#390C2314yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2314yes—
579#390C2314yes—
580#389C2312yes—
581#389C2312yes—
582#389C2312yes—
583#389C2312yes—
584#389C2312yes—
585#389C2312yes—
586#389C2312yes—
587#389C2314yes—
588#389C2314yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2312yes—
594#389C2312yes—
595#389C2312yes—
596#389C2312yes—
597#389C2314yes—
598#389C2314yes—
599#389C2312yes—
600#389C2314yes—
601#389C2314yes—
602#389C2314yes—
603#389C2314yes—
604#389C2314yes—
605#389C2314yes—
606#389C2314yes—
607#389C2314yes—
608#389C2314yes—
609#389C2314yes—
610#389C2312yes—
611#389C2314yes—
612#389C2314yes—
613#389C2314yes—
614#389C2314yes—
615#389C2314yes—
616#389C2314yes—
617#389C2314yes—
618#389C2314yes—
619#389C2312yes—
620#389C2314yes—
621#389C2312yes—
622#389C2312yes—
623#389C2314yes—
624#389C2314yes—
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#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#385C2314yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#384C2312yes—
694#384C2314yes—
695#384C2312yes—
696#384C2314yes—
697#384C2311yescharacteristic
698#384C2311yescharacteristic
699#382C2312yes—
700#382C2312yes—
701#382C2312yes—
702#382C2314yes—
703#381C2314yes—
704#381C2314yes—
705#380C2312yes—
706#380C2312yes—
707#380C2312yes—
708#380C2312yes—
709#380C2312yes—
710#380C2312yes—
711#380C2314yes—
712#380C2314yes—
713#380C2312yes—
714#380C2312yes—
715#380C2314yes—
716#380C2314yes—
717#380C2314yes—
718#380C2312yes—
719#380C2314yes—
720#380C2312yes—
721#380C2314yes—
722C4×C4⋊C4C2312yes—
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2312yes—
726C4×C4⋊C4C2311yescharacteristic
727C4×C4⋊C4C2311yescharacteristic
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2312yes—
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2314yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C22⋊C4C2314yes—
739C4×C22⋊C4C2314yes—
740C4×C22⋊C4C2314yes—
741C4×C22⋊C4C2314yes—
742C4×C22⋊C4C2314yes—
743C2×#95C2312yes—
744C2×#95C2314yes—
745C2×#95C2312yes—
746C2×#95C2312yes—
747C2×#95C2312yes—
748C2×#95C2312yes—
749C2×#41—28no—
750C2×#41—216no—
751C2×#41—28no—
752C2×#41—28no—
753C2×#41—44no—
754C2×#41—44no—
755C2×#41—48no—
756C2×#41—44no—
757C2×#41—48no—
758C22×Q8—24no—
759C22×Q8—24no—
760C22×Q8—42no—
761C22×Q8C2412yes—
762C22×Q8C2412yes—
763C22×Q8C2412yes—
764C22×Q8C2412yes—
765C22×Q8C2411yescharacteristic
766C22×Q8C2414yes—
767C22×Q8C2412yes—
768C22×Q8C2411yescharacteristic
769C22×D4C2412yes—
770C22×D4C2412yes—
771C22×D4C2414yes—
772C22×D4C2412yes—
773C22×D4C2412yes—
774C22×D4C2414yes—
775C22×D4C2412yes—
776C22×D4C2414yes—
777C22×D4C2411yescharacteristic
778C22×D4C2412yes—
779C22×D4C2414yes—
780C22×D4C2414yes—
781C22×D4C2412yes—
782C22×D4C2411yescharacteristic
783C23×C4C2412yes—
784C23×C4C2411yescharacteristic
785C23×C4C2412yes—
786C23×C4C2412yes—
787C23×C4C2412yes—
788C23×C4C2412yes—
789C23×C4C2412yes—
790C23×C4C2411yescharacteristic
791C23×C4C2411yescharacteristic
792C23×C4C2412yes—
793C23×C4C2411yescharacteristic
794C23×C4C2412yes—
795C23×C4C2411yescharacteristic
796C23×C4C2411yescharacteristic
797C23×C4C2414yes—
798C23×C4C2414yes—
799C23×C4C2414yes—
800C23×C4C2414yes—
801C23×C4C2414yes—
802C23×C4C2412yes—
803C23×C4C2412yes—
804C23×C4C2411yescharacteristic
805C4⋊Q8—28no—
806C4⋊Q8—28no—
807C4⋊Q8—28no—
808C4⋊Q8—28no—
809C4⋊Q8—216no—
810C4⋊Q8—24no—
811C4⋊Q8—28no—
812C4⋊Q8—48no—
813C4⋊Q8—48no—
814#127—24no—
815#127—82no—
816#126—28no—
817#126—28no—
818#126—28no—
819#126—216no—
820#126—216no—
821#126—28no—
822#126—28no—
823#126—28no—
824#126—28no—
825#126C2×D4116yes—
826#125—28no—
827#125—28no—
828#125—28no—
829#125—28no—
830#125—28no—
831#125—28no—
832#125—28no—
833#125—216no—
834#125—28no—
835#125—28no—
836#125—28no—
837#125—28no—
838#125—24no—
839#125—28no—
840#125C2×D418yes—
841#124—28no—
842#124—28no—
843#124—28no—
844#124—24no—
845#124—28no—
846#124—48no—
847#124—82no—
848#124C2×D418yes—
849#123—28no—
850#123—28no—
851#123—28no—
852#123—216no—
853#123—28no—
854#123—216no—
855#123—216no—
856#123—28no—
857#123—28no—
858#123—28no—
859#123—216no—
860#123—216no—
861#123—216no—
862#123—216no—
863#123—48no—
864#123—48no—
865#123—48no—
866#123—48no—
867#123—84no—
868#123C2×D4116yes—
869C22⋊Q8—28no—
870C22⋊Q8—216no—
871C22⋊Q8—24no—
872C22⋊Q8—28no—
873C22⋊Q8—28no—
874C22⋊Q8—28no—
875C22⋊Q8—28no—
876C22⋊Q8—216no—
877C22⋊Q8—216no—
878C22⋊Q8—216no—
879C22⋊Q8—28no—
880C22⋊Q8—28no—
881C22⋊Q8—28no—
882C22⋊Q8—28no—
883C22⋊Q8—28no—
884C22⋊Q8—28no—
885C22⋊Q8—216no—
886C22⋊Q8—216no—
887C22⋊Q8—48no—
888C22⋊Q8—48no—
889C22⋊Q8—48no—
890C22⋊Q8—48no—
891C22⋊Q8—84no—
892C22⋊Q8C2×D418yes—
893#121—28no—
894#121—28no—
895#121—216no—
896#121—216no—
897#121—24no—
898#121—28no—
899#121—28no—
900#121—28no—
901#121—28no—
902#121—28no—
903#121—28no—
904#121—28no—
905#121—216no—
906#121—216no—
907#121—48no—
908#121—48no—
909#121—48no—
910#121—84no—
911#121C2×D418yes—
912C4×Q8—28no—
913C4×Q8—28no—
914C4×Q8—28no—
915C4×Q8—28no—
916C4×Q8—28no—
917C4×Q8—28no—
918C4×Q8—28no—
919C4×Q8—24no—
920C4×Q8—82no—
921C4×Q8C2×D418yes—
922C4×D4—28no—
923C4×D4—28no—
924C4×D4—28no—
925C4×D4—28no—
926C4×D4—28no—
927C4×D4—28no—
928C4×D4—216no—
929C4×D4—216no—
930C4×D4—24no—
931C4×D4—28no—
932C4×D4—28no—
933C4×D4—28no—
934C4×D4—28no—
935C4×D4—48no—
936C4×D4—48no—
937C4×D4—82no—
938C4×D4—84no—
939C4×D4C2×D4116yes—
940C4×D4C2×D418yes—
941#117—28no—
942#117—28no—
943#117—28no—
944#117—28no—
945#117—28no—
946#117—28no—
947#117—28no—
948#117—28no—
949#117—44no—
950#117C2×D4116yes—
951C2×C4⋊C4—24no—
952C2×C4⋊C4—24no—
953C2×C4⋊C4—24no—
954C2×C4⋊C4—28no—
955C2×C4⋊C4—24no—
956C2×C4⋊C4—28no—
957C2×C4⋊C4—24no—
958C2×C4⋊C4—28no—
959C2×C4⋊C4—28no—
960C2×C4⋊C4—216no—
961C2×C4⋊C4—24no—
962C2×C4⋊C4—28no—
963C2×C4⋊C4—24no—
964C2×C4⋊C4—48no—
965C2×C4⋊C4—44no—
966C2×C4⋊C4—82no—
967C2×C4⋊C4—82no—
968C2×C4⋊C4C2412yes—
969C2×C4⋊C4C2414yes—
970C2×C4⋊C4C2414yes—
971C2×C4⋊C4C2412yes—
972C2×C4⋊C4C2412yes—
973C2×C4⋊C4C2412yes—
974C2×C4⋊C4C2412yes—
975C2×C4⋊C4C2412yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2412yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2414yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2414yes—
987C2×C4⋊C4C2414yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2412yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2412yes—
1053C2×C22⋊C4C2412yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2414yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C42—24no—
1095C2×C42—24no—
1096C2×C42—28no—
1097C2×C42—28no—
1098C2×C42—82no—
1099C2×C42C2×D418yes—
1100C2×C42C2412yes—
1101C2×C42C2412yes—
1102C2×C42C2412yes—
1103C2×C42C2412yes—
1104C2×C42C2412yes—
1105C2×C42C2414yes—
1106C2×C42C2414yes—
1107C2×C42C2412yes—
1108C2×C42C2412yes—
1109C2×C42C2412yes—
1110C2×C42C2412yes—
1111C2×C42C2414yes—
1112C2×C42C2414yes—
1113C2×C42C2414yes—
1114C2×C42C2412yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2411yescharacteristic
1119C2×C42C2412yes—
1120C2×C42C2411yescharacteristic
1121C2×C42C2411yescharacteristic
1122C2×C42C2411yescharacteristic
1123#95C2414yes—
1124#95C2412yes—
1125#95C2414yes—
1126#95C2412yes—
1127#95C2412yes—
1128#95C2412yes—
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—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159C24C2512yes—
1160C24C2514yes—
1161C24C2512yes—
1162C24C2511yescharacteristic
1163#41—432no—
1164#41—816no—
1165#41—832no—
1166C2×Q8—24no—
1167C2×Q8—24no—
1168C2×Q8—24no—
1169C2×Q8—22no—
1170C2×Q8—24no—
1171C2×Q8—28no—
1172C2×Q8—24no—
1173C2×Q8—24no—
1174C2×Q8—24no—
1175C2×Q8—24no—
1176C2×Q8—41no—
1177C2×Q8—42no—
1178C2×Q8—42no—
1179C2×Q8—41no—
1180C2×Q8—42no—
1181C2×Q8—44no—
1182C2×Q8—42no—
1183C2×Q8—41no—
1184C2×Q8—42no—
1185C2×Q8—42no—
1186C2×Q8—41no—
1187C2×Q8—42no—
1188C2×Q8—44no—
1189C2×Q8—416no—
1190C2×Q8C22×D414yes—
1191C2×D4—24no—
1192C2×D4—24no—
1193C2×D4—24no—
1194C2×D4—24no—
1195C2×D4—28no—
1196C2×D4—24no—
1197C2×D4—28no—
1198C2×D4—24no—
1199C2×D4—28no—
1200C2×D4—28no—
1201C2×D4—24no—
1202C2×D4—28no—
1203C2×D4—24no—
1204C2×D4—22no—
1205C2×D4—24no—
1206C2×D4—24no—
1207C2×D4—24no—
1208C2×D4—24no—
1209C2×D4—24no—
1210C2×D4—28no—
1211C2×D4—28no—
1212C2×D4—41no—
1213C2×D4—41no—
1214C2×D4—42no—
1215C2×D4—44no—
1216C2×D4—44no—
1217C2×D4—44no—
1218C2×D4—44no—
1219C2×D4—42no—
1220C2×D4—44no—
1221C2×D4—44no—
1222C2×D4—42no—
1223C2×D4—42no—
1224C2×D4—41no—
1225C2×D4—41no—
1226C2×D4—42no—
1227C2×D4—42no—
1228C2×D4—44no—
1229C2×D4—42no—
1230C2×D4—44no—
1231C2×D4C22×D418yes—
1232C2×D4C22×D414yes—
1233C22×C4—22no—
1234C22×C4—22no—
1235C22×C4—22no—
1236C22×C4—22no—
1237C22×C4—22no—
1238C22×C4—22no—
1239C22×C4—24no—
1240C22×C4—24no—
1241C22×C4—22no—
1242C22×C4—24no—
1243C22×C4—24no—
1244C22×C4—24no—
1245C22×C4—24no—
1246C22×C4—22no—
1247C22×C4—22no—
1248C22×C4—24no—
1249C22×C4—24no—
1250C22×C4—22no—
1251C22×C4—22no—
1252C22×C4—24no—
1253C22×C4—24no—
1254C22×C4—28no—
1255C22×C4—24no—
1256C22×C4—24no—
1257C22×C4—24no—
1258C22×C4—24no—
1259C22×C4—24no—
1260C22×C4—24no—
1261C22×C4—24no—
1262C22×C4—24no—
1263C22×C4—24no—
1264C22×C4—28no—
1265C22×C4—28no—
1266C22×C4—28no—
1267C22×C4—28no—
1268C22×C4—41no—
1269C22×C4—42no—
1270C22×C4—42no—
1271C22×C4—41no—
1272C22×C4—42no—
1273C22×C4—42no—
1274C22×C4—44no—
1275C22×C4—44no—
1276C22×C4—41no—
1277C22×C4—41no—
1278C22×C4—42no—
1279C22×C4—44no—
1280C22×C4—42no—
1281C22×C4—44no—
1282C22×C4—44no—
1283C22×C4—44no—
1284C22×C4—42no—
1285C22×C4—42no—
1286C22×C4—44no—
1287C22×C4—41no—
1288C22×C4—42no—
1289C22×C4—41no—
1290C22×C4—42no—
1291C22×C4—44no—
1292C22×C4—44no—
1293C22×C4—44no—
1294C22×C4C22×D414yes—
1295C22×C4C22×D418yes—
1296C22×C4C22×D414yes—
1297C22×C4C22×D414yes—
1298C22×C4H(5,𝔽2)14yes—
1299C22×C4C2512yes—
1300C22×C4C2514yes—
1301C22×C4C2512yes—
1302C22×C4C2514yes—
1303C22×C4C2512yes—
1304C22×C4C2512yes—
1305C22×C4C2512yes—
1306C22×C4C2512yes—
1307C22×C4C2514yes—
1308C22×C4C2514yes—
1309C22×C4C2514yes—
1310C22×C4C2512yes—
1311C22×C4C2512yes—
1312C22×C4C2512yes—
1313C22×C4C2511yescharacteristic
1314C22×C4C2511yescharacteristic
1315C22×C4C2511yescharacteristic
1316C22×C4C2512yes—
1317C22×C4C2512yes—
1318C22×C4C2511yescharacteristic
1319C22×C4C2511yescharacteristic
1320C22×C4C2512yes—
1321C22×C4C2512yes—
1322C22×C4C2512yes—
1323C22×C4C2511yescharacteristic
1324C4⋊C4—24no—
1325C4⋊C4—28no—
1326C4⋊C4—24no—
1327C4⋊C4—24no—
1328C4⋊C4—24no—
1329C4⋊C4—24no—
1330C4⋊C4—24no—
1331C4⋊C4—24no—
1332C4⋊C4—24no—
1333C4⋊C4—24no—
1334C4⋊C4—28no—
1335C4⋊C4—28no—
1336C4⋊C4—28no—
1337C4⋊C4—28no—
1338C4⋊C4—24no—
1339C4⋊C4—28no—
1340C4⋊C4—28no—
1341C4⋊C4—24no—
1342C4⋊C4—24no—
1343C4⋊C4—24no—
1344C4⋊C4—24no—
1345C4⋊C4—24no—
1346C4⋊C4—24no—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—24no—
1350C4⋊C4—24no—
1351C4⋊C4—24no—
1352C4⋊C4—24no—
1353C4⋊C4—24no—
1354C4⋊C4—28no—
1355C4⋊C4—22no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—22no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—28no—
1363C4⋊C4—28no—
1364C4⋊C4—28no—
1365C4⋊C4—28no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—28no—
1369C4⋊C4—22no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—44no—
1374C4⋊C4—44no—
1375C4⋊C4—44no—
1376C4⋊C4—44no—
1377C4⋊C4—44no—
1378C4⋊C4—44no—
1379C4⋊C4—44no—
1380C4⋊C4—44no—
1381C4⋊C4—42no—
1382C4⋊C4—44no—
1383C4⋊C4—42no—
1384C4⋊C4—42no—
1385C4⋊C4—44no—
1386C4⋊C4—42no—
1387C4⋊C4—44no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—44no—
1393C4⋊C4C22×D418yes—
1394C4⋊C4C22×D418yes—
1395C4⋊C4C22×D418yes—
1396C4⋊C4C22×D418yes—
1397C4⋊C4C22×D414yes—
1398C4⋊C4C22×D414yes—
1399C4⋊C42−1+414yes—
1400C4⋊C42−1+414yes—
1401C22⋊C4—24no—
1402C22⋊C4—24no—
1403C22⋊C4—28no—
1404C22⋊C4—24no—
1405C22⋊C4—24no—
1406C22⋊C4—24no—
1407C22⋊C4—28no—
1408C22⋊C4—24no—
1409C22⋊C4—24no—
1410C22⋊C4—24no—
1411C22⋊C4—24no—
1412C22⋊C4—24no—
1413C22⋊C4—24no—
1414C22⋊C4—28no—
1415C22⋊C4—28no—
1416C22⋊C4—28no—
1417C22⋊C4—28no—
1418C22⋊C4—28no—
1419C22⋊C4—28no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—28no—
1423C22⋊C4—28no—
1424C22⋊C4—28no—
1425C22⋊C4—28no—
1426C22⋊C4—28no—
1427C22⋊C4—44no—
1428C22⋊C4—44no—
1429C22⋊C4—44no—
1430C22⋊C4—44no—
1431C22⋊C4—44no—
1432C22⋊C4—44no—
1433C22⋊C4—44no—
1434C22⋊C4—44no—
1435C22⋊C4—44no—
1436C22⋊C4—44no—
1437C22⋊C4—44no—
1438C22⋊C4—44no—
1439C22⋊C4—44no—
1440C22⋊C4—44no—
1441C22⋊C4—44no—
1442C22⋊C4—44no—
1443C22⋊C4—44no—
1444C22⋊C4—44no—
1445C22⋊C4C22×D418yes—
1446C22⋊C4C22×D418yes—
1447C22⋊C4C22×D418yes—
1448C22⋊C4C22×D418yes—
1449C22⋊C4C22×D418yes—
1450C42—24no—
1451C42—24no—
1452C42—24no—
1453C42—24no—
1454C42—24no—
1455C42—24no—
1456C42—24no—
1457C42—24no—
1458C42—24no—
1459C42—28no—
1460C42—28no—
1461C42—42no—
1462C42—42no—
1463C42—42no—
1464C42—42no—
1465C42—44no—
1466C42—44no—
1467C42—44no—
1468C42C22×D418yes—
1469C42C22×D414yes—
1470C42C22×D414yes—
1471C42C22×D414yes—
1472C42C22×D414yes—
1473C23—21no—
1474C23—21no—
1475C23—21no—
1476C23—21no—
1477C23—22no—
1478C23—22no—
1479C23—22no—
1480C23—22no—
1481C23—22no—
1482C23—22no—
1483C23—22no—
1484C23—24no—
1485C23—24no—
1486C23—22no—
1487C23—24no—
1488C23—24no—
1489C23—22no—
1490C23—22no—
1491C23—22no—
1492C23—24no—
1493C23—24no—
1494C23—22no—
1495C23—22no—
1496C23—24no—
1497C23C23×D414yes—
1498C23C23×D412yes—
1499C23C2×H(5,𝔽2)12yes—
1500C23#58512yes—
1501C23C2611yescharacteristic
1502Q8—44no—
1503Q8—48no—
1504Q8—48no—
1505Q8—48no—
1506Q8—82no—
1507Q8—84no—
1508Q8—84no—
1509Q8—88no—
1510D4—216no—
1511D4—44no—
1512D4—48no—
1513D4—48no—
1514D4—416no—
1515D4—48no—
1516D4—82no—
1517D4—84no—
1518D4—88no—
1519D4—88no—
1520D4—84no—
1521D4—88no—
1522D4—84no—
1523D4—88no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—22no—
1527C2×C4—22no—
1528C2×C4—21no—
1529C2×C4—22no—
1530C2×C4—22no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—22no—
1534C2×C4—21no—
1535C2×C4—22no—
1536C2×C4—21no—
1537C2×C4—22no—
1538C2×C4—22no—
1539C2×C4—21no—
1540C2×C4—21no—
1541C2×C4—22no—
1542C2×C4—22no—
1543C2×C4—21no—
1544C2×C4—22no—
1545C2×C4—21no—
1546C2×C4—28no—
1547C2×C4—28no—
1548C2×C4—28no—
1549C2×C4—216no—
1550C2×C4—22no—
1551C2×C4—22no—
1552C2×C4—22no—
1553C2×C4—22no—
1554C2×C4—22no—
1555C2×C4—22no—
1556C2×C4—24no—
1557C2×C4—24no—
1558C2×C4—24no—
1559C2×C4—24no—
1560C2×C4—24no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—22no—
1565C2×C4—24no—
1566C2×C4—24no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—24no—
1571C2×C4—22no—
1572C2×C4—22no—
1573C2×C4—22no—
1574C2×C4—24no—
1575C2×C4—22no—
1576C2×C4—24no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—24no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—24no—
1584C2×C4—24no—
1585C2×C4—22no—
1586C2×C4—22no—
1587C2×C4—24no—
1588C2×C4—22no—
1589C2×C4—44no—
1590C2×C4—48no—
1591C2×C4—48no—
1592C2×C4—48no—
1593C2×C4—48no—
1594C2×C4—44no—
1595C2×C4—48no—
1596C2×C4—48no—
1597C2×C4—84no—
1598C2×C4—88no—
1599C2×C4—88no—
1600C2×C4—88no—
1601C2×C4—88no—
1602C2×C4—82no—
1603C2×C4—84no—
1604C2×C4—84no—
1605C2×C4—82no—
1606C2×C4—88no—
1607C2×C4C23×D412yes—
1608C2×C4C23×D414yes—
1609C2×C4C23×D414yes—
1610C2×C4C23×D414yes—
1611C2×C4C23×D412yes—
1612C2×C4C23×D412yes—
1613C2×C4C23×D412yes—
1614C2×C4C23×D412yes—
1615C2×C4C23×D412yes—
1616C2×C4C2×H(5,𝔽2)14yes—
1617C2×C4C2×2−1+414yes—
1618C2×C4C2×2−1+414yes—
1619C2×C4C2×2−1+412yes—
1620C2×C4C2×2−1+412yes—
1621C22—22no—
1622C22—22no—
1623C22—22no—
1624C22—22no—
1625C22—22no—
1626C22—22no—
1627C22—24no—
1628C22—24no—
1629C22—24no—
1630C22—42no—
1631C22—42no—
1632C22—42no—
1633C22—42no—
1634C22—42no—
1635C22—44no—
1636C22—42no—
1637C22—44no—
1638C22—42no—
1639C22—44no—
1640C22—42no—
1641C22—44no—
1642C22—44no—
1643C22—42no—
1644C22—42no—
1645C22—44no—
1646C22—44no—
1647C22—42no—
1648C22#348814yes—
1649C22C24×D411yescharacteristic
1650C22C22×H(5,𝔽2)11yescharacteristic
1651C22C22×2−1+411yescharacteristic
1652C22C22×2−1+411yescharacteristic
1653C22C2×#58511yescharacteristic
1654C22H(7,𝔽2)11yescharacteristic
1655C222−1+611yescharacteristic
1656C4—24no—
1657C4—22no—
1658C4—22no—
1659C4—24no—
1660C4—24no—
1661C4—22no—
1662C4—22no—
1663C4—22no—
1664C4—24no—
1665C4—24no—
1666C4—24no—
1667C4—44no—
1668C4—42no—
1669C4—42no—
1670C4—44no—
1671C4—42no—
1672C4—42no—
1673C4—44no—
1674C4—42no—
1675C4—42no—
1676C4—42no—
1677C4—44no—
1678C4—44no—
1679C4—42no—
1680C4#349914yes—
1681C2—24no—
1682C2—44no—
1683C2—82no—
1684C2—84no—
1685C2C2×#348811yescharacteristic
1686C2C2×#349911yescharacteristic
1687C2#6285311yescharacteristic
1688C2#6294411yescharacteristic
1689C2#6294611yescharacteristic
1690C2#6294811yescharacteristic
1691C2#6294911yescharacteristic
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×#3559C2semidirect
2. C2×#3461C2semidirect
3. #51334C2semidirect
4. #51333C2semidirect
5. #47688C2semidirect
6. #47682C2semidirect
7. #44758C2semidirect
8. #43974C2semidirect
9. #39598C2semidirect
10. #39590C2semidirect
11. #39421C2semidirect
12. #39413C2semidirect
13. #39384C2semidirect
14. #39359C2semidirect
15. #38049C2semidirect
16. #38042C2semidirect
17. #38042C2semidirect
18. #38041C2semidirect
19. #37549C2semidirect
20. #37279C2semidirect
21. #37274C2semidirect
22. #36361C2semidirect
23. #36259C2semidirect
24. #35567C2semidirect
25. #35566C2semidirect
26. #35238C2semidirect
27. #35178C2semidirect
28. C2×#2584C2semidirect
29. #34243C2semidirect
307. #529D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35592
C2×#34612
#513342
#513332
#476882
#476822
#447582
#439742
#395982
#395902
#394212
#394132
#393842
#393592
#380492
#380422
#380412
#375492
#372792
#372742
#363612
#362592
#355672
#355662
#352382
#351782
C2×#25842
#342432