Finite Group Databasebeta

← #7987483

Subgroups — #7987483

Order 512.

6659 conjugacy classes of subgroups.

The subgroup lattice has 1811 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3544C211yesmaximal, characteristic, complemented
2C2×Q8×#41C211yesmaximal, characteristic, complemented
3#59655C211yesmaximal, characteristic, complemented
4#59151C211yesmaximal, characteristic, complemented
5#59138C212yesmaximal, complemented
6#59116C212yesmaximal, complemented
7#59079C211yesmaximal, characteristic, complemented
8#51584C214yesmaximal, complemented
9#51525C214yesmaximal, complemented
10#45763C214yesmaximal, complemented
11#45416C212yesmaximal, complemented
12#45300C212yesmaximal, complemented
13#45289C212yesmaximal, complemented
14#45274C212yesmaximal, complemented
15#42482C212yesmaximal, complemented
16#42477C212yesmaximal, complemented
17#42442C212yesmaximal, complemented
18#42436C212yesmaximal, complemented
19#39619C211yesmaximal, characteristic, complemented
20#39127C211yesmaximal, characteristic, complemented
21#38958C211yesmaximal, characteristic, complemented
22#38911C211yesmaximal, characteristic, complemented
23#37795C212yesmaximal, complemented
24#37783C214yesmaximal, complemented
25#37690C212yesmaximal, complemented
26Q8×C22⋊Q8C211yesmaximal, characteristic, complemented
27#36422C212yesmaximal, complemented
28#36411C211yesmaximal, characteristic, complemented
29#36404C212yesmaximal, complemented
30#36129C211yesmaximal, characteristic, complemented
31#35155C212yesmaximal, complemented
32#35154C212yesmaximal, complemented
33#34724C211yesmaximal, characteristic, complemented
34#34708C211yesmaximal, characteristic, complemented
35#34484C211yesmaximal, characteristic, complemented
36#3544—216no—
37C2×#563C2214yes—
38Q8×#41—216no—
39C2×Q82C2211yescharacteristic
40C2×Q82C2211yescharacteristic
41C2×#557C2211yescharacteristic
42C2×#557C2212yes—
43C2×#555C2211yescharacteristic
44C2×#554C2211yescharacteristic
45C2×#554C2214yes—
46C2×#554C2212yes—
47C2×#554C2212yes—
48C2×#554C2211yescharacteristic
49C2×#552C2212yes—
50C2×#552C2212yes—
51C2×D4×Q8C2211yescharacteristic
52C2×D4×Q8C2212yes—
53C2×#547C2212yes—
54C2×#547C2212yes—
55C2×#544C2212yes—
56C2×#544C2212yes—
57C2×#542C2212yes—
58C2×#542C2212yes—
59C2×#536C2214yes—
60C2×#533C2212yes—
61C2×#533C2211yescharacteristic
62C2×#533C2214yes—
63C2×#533C2212yes—
64C22×C4⋊Q8C2211yescharacteristic
65C2×#529C2211yescharacteristic
66C2×#529C2211yescharacteristic
67C2×C4×#41C2212yes—
68C2×C4×#41C2211yescharacteristic
69C22×C4×Q8C2212yes—
70C22×C4×Q8C2211yescharacteristic
71#2862C2211yescharacteristic
72#2857C2211yescharacteristic
73#2857C2211yescharacteristic
74#2857C2212yes—
75#2855C2214yes—
76#2855C2214yes—
77#2854C2212yes—
78#2853C2214yes—
79#2817C2214yes—
80#2814C2214yes—
81#2734C2214yes—
82#2729C2214yes—
83#2728C2214yes—
84#2725C2214yes—
85#2725C2214yes—
86#2720C2214yes—
87#2719C2214yes—
88#2716C2214yes—
89#2713C2214yes—
90#2713C2214yes—
91#2713C2214yes—
92#2713C2214yes—
93#2707C2214yes—
94#2707C2214yes—
95#2704C2214yes—
96#2704C2214yes—
97#2700C2214yes—
98#2700C2214yes—
99#2700C2214yes—
100#2698C2214yes—
101#2692C2214yes—
102#2690C2214yes—
103#2689C2214yes—
104#2689C2214yes—
105#2687C2214yes—
106#2687C2214yes—
107#2687C2214yes—
108#2683C2214yes—
109#2681C2214yes—
110#2680C2214yes—
111#2680C2214yes—
112#2677C2214yes—
113#2674C2214yes—
114#2660C2212yes—
115#2638C2214yes—
116#2630C2214yes—
117#2629C2212yes—
118#2627C2214yes—
119#2627C2214yes—
120#2625C2212yes—
121#2621C2214yes—
122#2620C2212yes—
123#2616C2214yes—
124#2582C2211yescharacteristic
125#2582C2212yes—
126#2568C2212yes—
127#2568C2211yescharacteristic
128#2567C2211yescharacteristic
129#2567C2211yescharacteristic
130#2567C2212yes—
131#2565C2212yes—
132#2562C2212yes—
133#2560C2214yes—
134#2551C2212yes—
135#2551C2212yes—
136#2550C2212yes—
137#2550C2212yes—
138#2550C2212yes—
139#2547C2211yescharacteristic
140#2545C2212yes—
141#2538C2211yescharacteristic
142#2538C2212yes—
143#2506C2214yes—
144#2499C2212yes—
145#2492C2212yes—
146#2492C2212yes—
147#2492C2212yes—
148#2492C2214yes—
149#2489C2212yes—
150#2489C2212yes—
151#2485C2212yes—
152#2481C2212yes—
153#2478C2214yes—
154#2478C2212yes—
155#2477C2214yes—
156#2475C2214yes—
157#2474C2214yes—
158#2474C2214yes—
159#2470C2214yes—
160#2470C2214yes—
161#2470C2212yes—
162#2469C2214yes—
163#2469C2212yes—
164#2466C2214yes—
165#2466C2212yes—
166#2465C2214yes—
167#2465C2214yes—
168#2462C2214yes—
169#2461C2214yes—
170#2459C2214yes—
171#2458C2214yes—
172#2458C2214yes—
173#2458C2212yes—
174#2457C2214yes—
175#2457C2214yes—
176#2455C2212yes—
177#2453C2214yes—
178#2453C2212yes—
179#2453C2211yescharacteristic
180#2453C2214yes—
181#2453C2212yes—
182#2453C2212yes—
183#2453C2211yescharacteristic
184#2452C2212yes—
185#2451C2212yes—
186#2451C2212yes—
187#2451C2212yes—
188#2451C2214yes—
189#2451C2214yes—
190#2451C2212yes—
191#2451C2212yes—
192#2451C2212yes—
193#2451C2214yes—
194#2448C2211yescharacteristic
195#2447C2212yes—
196#2447C2211yescharacteristic
197#2446C2212yes—
198#2446C2212yes—
199#2446C2212yes—
200#2443C2212yes—
201#2442C2212yes—
202#2442C2211yescharacteristic
203#2442C2212yes—
204#2441C2211yescharacteristic
205#2440C2212yes—
206#2440C2212yes—
207#2440C2212yes—
208#2440C2214yes—
209#2440C2212yes—
210#2439C2212yes—
211#2439C2212yes—
212#2439C2212yes—
213#2439C2214yes—
214#2436C2212yes—
215#2436C2211yescharacteristic
216#2434C2214yes—
217#2432C2211yescharacteristic
218#2429C2212yes—
219#2429C2214yes—
220#2429C2212yes—
221#2429C2214yes—
222#2429C2212yes—
223#2429C2211yescharacteristic
224#2427C2212yes—
225#2426C2211yescharacteristic
226#2426C2212yes—
227#2422C2212yes—
228#2422C2211yescharacteristic
229#2421C2211yescharacteristic
230#2421C2214yes—
231#2420C2212yes—
232#2420C2212yes—
233#2420C2212yes—
234#2417C2212yes—
235#2416C2211yescharacteristic
236#2415C2211yescharacteristic
237#2415C2212yes—
238#2415C2214yes—
239#2415C2212yes—
240#2414C2212yes—
241#2413C2214yes—
242#2409C2212yes—
243#2409C2212yes—
244#2409C2211yescharacteristic
245#2407C2211yescharacteristic
246#2407C2212yes—
247#2407C2214yes—
248#2406C2214yes—
249#2398C2212yes—
250#2396C2212yes—
251#2395C2212yes—
252#2392C2212yes—
253#2378C2214yes—
254#2370C2212yes—
255#2369C2211yescharacteristic
256#2367C2212yes—
257#2367C2212yes—
258#2362C2214yes—
259#2362C2212yes—
260#2362C2212yes—
261#2360C2212yes—
262#2360C2212yes—
263#2360C2212yes—
264#2360C2212yes—
265#2354C2212yes—
266#2354C2212yes—
267#2354C2211yescharacteristic
268#2352C2212yes—
269#2352C2212yes—
270Q8×C4⋊C4C2212yes—
271Q8×C4⋊C4C2211yescharacteristic
272#2344C2212yes—
273Q8×C22⋊C4C2212yes—
274Q8×C22⋊C4C2212yes—
275#2330C2212yes—
276#2327C2212yes—
277#2323C2212yes—
278#2323C2212yes—
279#2323C2214yes—
280#2319C2212yes—
281#2316C2212yes—
282#2310C2212yes—
283#2310C2212yes—
284C4×C4⋊Q8C2211yescharacteristic
285C4×C4⋊Q8C2211yescharacteristic
286C4×#124C2211yescharacteristic
287C4×C22⋊Q8C2212yes—
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2211yescharacteristic
290C4×C22⋊Q8C2211yescharacteristic
291C4×#123C2212yes—
292C4×#121C2212yes—
293C4×#121C2211yescharacteristic
294#2297C2214yes—
295#2296C2212yes—
296#2296C2212yes—
297#2295C2211yescharacteristic
298#2293C2211yescharacteristic
299#2290C2212yes—
300C42×D4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2314yes—
303C23×Q8C2312yes—
304C23×Q8C2311yescharacteristic
305C23×Q8C2312yes—
306#563—232no—
307Q82—28no—
308Q82—28no—
309#557—216no—
310#557—28no—
311#555—28no—
312#554—28no—
313#554—232no—
314#554—216no—
315#554—216no—
316#554D4116yescomplemented
317#552—216no—
318#552—216no—
319D4×Q8—216no—
320D4×Q8—28no—
321#547—216no—
322#547—216no—
323#544—216no—
324#544—216no—
325#542—216no—
326#542—216no—
327#536—232no—
328#533—28no—
329#533—216no—
330#533—216no—
331#533—232no—
332C2×C4⋊Q8—28no—
333C2×C4⋊Q8C2311yescharacteristic
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2314yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2314yes—
344C2×C4⋊Q8C2312yes—
345C2×C4⋊Q8C2312yes—
346C2×C4⋊Q8C2314yes—
347C2×C4⋊Q8C2314yes—
348C2×C4⋊Q8C2312yes—
349C2×C4⋊Q8C2314yes—
350C2×C4⋊Q8C2311yescharacteristic
351#529—28no—
352#529—28no—
353C2×#126C2314yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2314yes—
357C2×#125C2312yes—
358C2×#125C2311yescharacteristic
359C2×#125C2311yescharacteristic
360C2×#125C2312yes—
361C2×#125C2314yes—
362C2×#125C2314yes—
363C2×#125C2314yes—
364C2×#125C2314yes—
365C2×#125C2314yes—
366C2×#125C2312yes—
367C2×#125C2312yes—
368C2×#124C2311yescharacteristic
369C2×#124C2311yescharacteristic
370C2×#124C2311yescharacteristic
371C2×#124C2314yes—
372C2×#124C2314yes—
373C2×#124C2312yes—
374C2×#123C2314yes—
375C2×#123C2312yes—
376C2×#123C2312yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2312yes—
381C2×#123C2314yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2314yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2311yescharacteristic
388C2×C22⋊Q8C2311yescharacteristic
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2312yes—
392C2×C22⋊Q8C2311yescharacteristic
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2314yes—
398C2×C22⋊Q8C2314yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2314yes—
410C2×#121C2312yes—
411C2×#121C2311yescharacteristic
412C2×#121C2312yes—
413C2×#121C2311yescharacteristic
414C2×#121C2312yes—
415C2×#121C2311yescharacteristic
416C4×#41—216no—
417C4×#41—28no—
418C2×C4×Q8—28no—
419C2×C4×Q8—216no—
420C2×C4×Q8C2311yescharacteristic
421C2×C4×Q8C2311yescharacteristic
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2311yescharacteristic
425C2×C4×Q8C2312yes—
426C2×C4×Q8C2312yes—
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2314yes—
434C2×C4×Q8C2311yescharacteristic
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2314yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2314yes—
439C2×C4×Q8C2312yes—
440C2×C4×Q8C2312yes—
441C2×C4×Q8C2311yescharacteristic
442C2×C4×D4C2312yes—
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2314yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2311yescharacteristic
451C2×C4×D4C2314yes—
452C2×C4×D4C2312yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2311yescharacteristic
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2312yes—
457C2×C4×D4C2311yescharacteristic
458C2×#117C2312yes—
459C2×#117C2312yes—
460C2×#117C2312yes—
461C2×#117C2312yes—
462C2×#117C2311yescharacteristic
463C2×#117C2312yes—
464C2×#117C2314yes—
465C2×#117C2314yes—
466C2×#117C2312yes—
467C2×#117C2312yes—
468C2×#117C2312yes—
469C2×#117C2314yes—
470C22×C4⋊C4C2312yes—
471C22×C4⋊C4C2312yes—
472C22×C4⋊C4C2312yes—
473C22×C4⋊C4C2314yes—
474C22×C4⋊C4C2311yescharacteristic
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2312yes—
477C22×C42C2314yes—
478C22×C42C2312yes—
479C22×C42C2311yescharacteristic
480C22×C42C2312yes—
481C22×C42C2311yescharacteristic
482#400C2312yes—
483#400C2314yes—
484#400C2314yes—
485#400C2314yes—
486#400C2314yes—
487#400C2314yes—
488#400C2314yes—
489#400C2314yes—
490#400C2312yes—
491#400C2314yes—
492#400C2314yes—
493#400C2312yes—
494#400C2312yes—
495#399C2312yes—
496#399C2312yes—
497#398C2314yes—
498#398C2314yes—
499#398C2314yes—
500#398C2314yes—
501#398C2314yes—
502#398C2314yes—
503#398C2312yes—
504#398C2314yes—
505#398C2314yes—
506#398C2312yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2312yes—
514#398C2312yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#397C2312yes—
519#397C2312yes—
520#397C2314yes—
521#397C2314yes—
522#397C2314yes—
523#397C2312yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2312yes—
529#397C2312yes—
530#397C2312yes—
531#397C2314yes—
532#397C2314yes—
533#396C2314yes—
534#396C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#396C2312yes—
540#396C2312yes—
541#396C2312yes—
542#396C2312yes—
543#396C2314yes—
544#396C2314yes—
545#396C2314yes—
546#395C2314yes—
547#395C2314yes—
548#395C2314yes—
549#395C2314yes—
550#395C2314yes—
551#395C2314yes—
552#395C2314yes—
553#395C2314yes—
554#395C2314yes—
555#395C2314yes—
556#395C2314yes—
557#395C2312yes—
558#395C2314yes—
559#395C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2312yes—
563#394C2312yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#394C2312yes—
569#394C2312yes—
570#394C2314yes—
571#394C2312yes—
572#394C2312yes—
573#394C2312yes—
574#393C2314yes—
575#393C2314yes—
576#393C2312yes—
577#393C2312yes—
578#393C2312yes—
579#393C2314yes—
580#393C2314yes—
581#393C2314yes—
582#392C2314yes—
583#392C2312yes—
584#391C2314yes—
585#391C2311yescharacteristic
586#391C2311yescharacteristic
587#391C2312yes—
588#391C2312yes—
589#391C2311yescharacteristic
590#391C2311yescharacteristic
591#391C2312yes—
592#391C2312yes—
593#391C2312yes—
594#391C2312yes—
595#391C2312yes—
596#391C2312yes—
597#391C2314yes—
598#391C2314yes—
599#391C2314yes—
600#391C2312yes—
601#391C2314yes—
602#391C2314yes—
603#391C2312yes—
604#391C2314yes—
605#391C2311yescharacteristic
606#391C2311yescharacteristic
607#391C2314yes—
608#391C2311yescharacteristic
609#391C2312yes—
610#391C2314yes—
611#391C2314yes—
612#391C2312yes—
613#391C2312yes—
614#391C2314yes—
615#391C2314yes—
616#391C2314yes—
617#391C2312yes—
618#391C2312yes—
619#391C2311yescharacteristic
620#391C2314yes—
621#390C2314yes—
622#390C2311yescharacteristic
623#390C2312yes—
624#390C2311yescharacteristic
625#390C2312yes—
626#390C2311yescharacteristic
627#390C2311yescharacteristic
628#390C2314yes—
629#390C2312yes—
630#389C2312yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2311yescharacteristic
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2311yescharacteristic
642#389C2314yes—
643#389C2312yes—
644#389C2312yes—
645#389C2314yes—
646#389C2312yes—
647#389C2314yes—
648#389C2312yes—
649#389C2314yes—
650#389C2314yes—
651#389C2312yes—
652#389C2314yes—
653#389C2311yescharacteristic
654#389C2312yes—
655#389C2312yes—
656#389C2314yes—
657#389C2314yes—
658#389C2314yes—
659#389C2311yescharacteristic
660#389C2314yes—
661#389C2312yes—
662#389C2314yes—
663#389C2314yes—
664#389C2314yes—
665#389C2314yes—
666#389C2311yescharacteristic
667#389C2311yescharacteristic
668#389C2311yescharacteristic
669#389C2314yes—
670#389C2312yes—
671#389C2311yescharacteristic
672#389C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2312yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2312yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2312yes—
696#388C2312yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2312yes—
701#388C2312yes—
702#388C2312yes—
703#388C2312yes—
704#388C2312yes—
705#388C2312yes—
706#388C2312yes—
707#387C2314yes—
708#387C2314yes—
709#387C2312yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2314yes—
718#387C2314yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2312yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2312yes—
730#387C2312yes—
731#387C2312yes—
732#387C2314yes—
733#387C2312yes—
734#387C2312yes—
735#387C2312yes—
736#387C2312yes—
737#386C2312yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2312yes—
743#386C2314yes—
744#386C2312yes—
745#386C2312yes—
746#386C2314yes—
747#386C2312yes—
748#386C2312yes—
749#385C2312yes—
750#385C2314yes—
751#385C2312yes—
752#385C2314yes—
753#385C2312yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2314yes—
758#385C2314yes—
759#385C2314yes—
760#385C2312yes—
761#385C2312yes—
762#385C2314yes—
763#385C2314yes—
764#385C2312yes—
765#385C2312yes—
766#385C2312yes—
767#385C2312yes—
768#385C2312yes—
769#384C2311yescharacteristic
770#384C2311yescharacteristic
771#384C2312yes—
772#384C2312yes—
773#384C2314yes—
774#384C2312yes—
775#382C2312yes—
776#382C2312yes—
777#382C2312yes—
778#382C2314yes—
779#382C2311yescharacteristic
780#381C2314yes—
781#381C2314yes—
782#381C2314yes—
783#381C2314yes—
784#381C2314yes—
785#381C2312yes—
786#380C2311yescharacteristic
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2314yes—
791#380C2314yes—
792#380C2312yes—
793#380C2312yes—
794#380C2312yes—
795#380C2314yes—
796#380C2314yes—
797#380C2311yescharacteristic
798#380C2312yes—
799#380C2312yes—
800#380C2314yes—
801#380C2311yescharacteristic
802#380C2311yescharacteristic
803#380C2312yes—
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2314yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2312yes—
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2311yescharacteristic
825C4×C22⋊C4C2314yes—
826C4×C22⋊C4C2311yescharacteristic
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2312yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843#376C2312yes—
844C43C2311yescharacteristic
845C2×#41—24no—
846C2×#41—24no—
847C2×#41—216no—
848C2×#41—24no—
849C2×#41—48no—
850C2×#41—84no—
851C22×Q8—24no—
852C22×Q8—28no—
853C22×Q8—24no—
854C22×Q8—28no—
855C22×Q8—28no—
856C22×Q8—44no—
857C22×Q8—44no—
858C22×Q8—42no—
859C22×Q8—82no—
860C22×Q8C2411yescharacteristic
861C22×Q8C2412yes—
862C22×Q8C2412yes—
863C22×Q8C2414yes—
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2411yescharacteristic
867C22×Q8C2414yes—
868C22×Q8C2414yes—
869C22×Q8C2414yes—
870C22×Q8C2412yes—
871C22×Q8C2412yes—
872C22×D4C2412yes—
873C22×D4C2411yescharacteristic
874C22×D4C2411yescharacteristic
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2411yescharacteristic
878C22×D4C2412yes—
879C22×D4C2414yes—
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2412yes—
883C23×C4C2411yescharacteristic
884C23×C4C2412yes—
885C23×C4C2414yes—
886C23×C4C2412yes—
887C23×C4C2414yes—
888C23×C4C2411yescharacteristic
889C23×C4C2412yes—
890C23×C4C2411yescharacteristic
891C23×C4C2411yescharacteristic
892C23×C4C2412yes—
893C23×C4C2412yes—
894C23×C4C2414yes—
895C23×C4C2414yes—
896C4⋊Q8—28no—
897C4⋊Q8—28no—
898C4⋊Q8—216no—
899C4⋊Q8—24no—
900C4⋊Q8—28no—
901C4⋊Q8—28no—
902C4⋊Q8—216no—
903C4⋊Q8—28no—
904C4⋊Q8—28no—
905C4⋊Q8—28no—
906C4⋊Q8—216no—
907C4⋊Q8—216no—
908C4⋊Q8—28no—
909C4⋊Q8—24no—
910C4⋊Q8—24no—
911C4⋊Q8—28no—
912C4⋊Q8—84no—
913C4⋊Q8C2×D418yes—
914#126—28no—
915#126—216no—
916#126—28no—
917#126—216no—
918#125—24no—
919#125—24no—
920#125—216no—
921#125—28no—
922#125—216no—
923#125—216no—
924#125—28no—
925#125—216no—
926#125—216no—
927#125—28no—
928#125C2×D4116yes—
929#124—24no—
930#124—24no—
931#124—24no—
932#124—216no—
933#124—216no—
934#124—44no—
935#123—216no—
936#123—28no—
937#123—216no—
938#123—28no—
939#123—216no—
940#123—216no—
941#123—44no—
942#123—84no—
943C22⋊Q8—24no—
944C22⋊Q8—28no—
945C22⋊Q8—216no—
946C22⋊Q8—28no—
947C22⋊Q8—24no—
948C22⋊Q8—24no—
949C22⋊Q8—28no—
950C22⋊Q8—216no—
951C22⋊Q8—216no—
952C22⋊Q8—216no—
953C22⋊Q8—24no—
954C22⋊Q8—24no—
955C22⋊Q8—216no—
956C22⋊Q8—28no—
957C22⋊Q8—216no—
958C22⋊Q8—216no—
959C22⋊Q8—28no—
960C22⋊Q8—216no—
961C22⋊Q8—216no—
962C22⋊Q8—216no—
963C22⋊Q8—216no—
964C22⋊Q8—48no—
965C22⋊Q8—44no—
966C22⋊Q8—84no—
967C22⋊Q8—82no—
968C22⋊Q8—84no—
969C22⋊Q8C2×D4132yes—
970C22⋊Q8C2×D4116yes—
971#121—24no—
972#121—28no—
973#121—28no—
974#121—24no—
975#121—44no—
976#121—42no—
977C4×Q8—24no—
978C4×Q8—28no—
979C4×Q8—28no—
980C4×Q8—24no—
981C4×Q8—28no—
982C4×Q8—28no—
983C4×Q8—216no—
984C4×Q8—28no—
985C4×Q8—216no—
986C4×Q8—28no—
987C4×Q8—24no—
988C4×Q8—28no—
989C4×Q8—216no—
990C4×Q8—24no—
991C4×Q8—28no—
992C4×Q8—28no—
993C4×Q8—24no—
994C4×Q8—24no—
995C4×Q8—28no—
996C4×Q8—44no—
997C4×Q8—82no—
998C4×Q8C2×D418yes—
999C4×D4—28no—
1000C4×D4—24no—
1001C4×D4—28no—
1002C4×D4—216no—
1003C4×D4—28no—
1004C4×D4—24no—
1005C4×D4—28no—
1006C4×D4—28no—
1007C4×D4—216no—
1008C4×D4—28no—
1009C4×D4—28no—
1010C4×D4—24no—
1011C4×D4—42no—
1012C4×D4—42no—
1013C4×D4C2×D418yes—
1014C4×D4C2×D4116yes—
1015#117—28no—
1016#117—28no—
1017#117—28no—
1018#117—24no—
1019#117—216no—
1020#117—28no—
1021#117—216no—
1022#117—28no—
1023#117—28no—
1024#117—44no—
1025#117—44no—
1026#117—84no—
1027C2×C4⋊C4—216no—
1028C2×C4⋊C4—28no—
1029C2×C4⋊C4—24no—
1030C2×C4⋊C4—28no—
1031C2×C4⋊C4—28no—
1032C2×C4⋊C4—28no—
1033C2×C4⋊C4C2×D4116yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2411yescharacteristic
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2411yescharacteristic
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2411yescharacteristic
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2412yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2411yescharacteristic
1088C2×C4⋊C4C2411yescharacteristic
1089C2×C4⋊C4C2414yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2414yes—
1097C2×C4⋊C4C2414yes—
1098C2×C4⋊C4C2414yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2414yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2411yescharacteristic
1130C2×C22⋊C4C2411yescharacteristic
1131C2×C22⋊C4C2411yescharacteristic
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2411yescharacteristic
1149C2×C22⋊C4C2411yescharacteristic
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2414yes—
1162C2×C22⋊C4C2412yes—
1163C2×C42—216no—
1164C2×C42—28no—
1165C2×C42—24no—
1166C2×C42—28no—
1167C2×C42—24no—
1168C2×C42C2414yes—
1169C2×C42C2411yescharacteristic
1170C2×C42C2414yes—
1171C2×C42C2411yescharacteristic
1172C2×C42C2412yes—
1173C2×C42C2412yes—
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2412yes—
1177C2×C42C2414yes—
1178C2×C42C2412yes—
1179C2×C42C2411yescharacteristic
1180C2×C42C2412yes—
1181C2×C42C2414yes—
1182C2×C42C2412yes—
1183C2×C42C2414yes—
1184C2×C42C2412yes—
1185C2×C42C2411yescharacteristic
1186C2×C42C2412yes—
1187C2×C42C2411yescharacteristic
1188C2×C42C2412yes—
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2414yes—
1193C2×C42C2414yes—
1194C2×C42C2414yes—
1195C2×C42C2411yescharacteristic
1196C2×C42C2411yescharacteristic
1197C2×C42C2414yes—
1198C2×C42C2412yes—
1199C2×C42C2411yescharacteristic
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2411yescharacteristic
1206#95C2411yescharacteristic
1207#95C2411yescharacteristic
1208#95C2411yescharacteristic
1209#95C2412yes—
1210#95C2411yescharacteristic
1211#95C2411yescharacteristic
1212#95C2414yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2414yes—
1229#95C2412yes—
1230#95C2414yes—
1231#95C2412yes—
1232#95C2414yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2412yes—
1239#95C2414yes—
1240#95C2412yes—
1241#95C2414yes—
1242#95C2412yes—
1243#95C2414yes—
1244#95C2414yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2414yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2414yes—
1254#95C2412yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266C24C2512yes—
1267C24C2512yes—
1268C24C2511yescharacteristic
1269C24C2511yescharacteristic
1270#41—232no—
1271#41—832no—
1272C2×Q8—22no—
1273C2×Q8—22no—
1274C2×Q8—22no—
1275C2×Q8—28no—
1276C2×Q8—24no—
1277C2×Q8—24no—
1278C2×Q8—28no—
1279C2×Q8—28no—
1280C2×Q8—28no—
1281C2×Q8—24no—
1282C2×Q8—22no—
1283C2×Q8—22no—
1284C2×Q8—22no—
1285C2×Q8—22no—
1286C2×Q8—28no—
1287C2×Q8—24no—
1288C2×Q8—24no—
1289C2×Q8—22no—
1290C2×Q8—22no—
1291C2×Q8—24no—
1292C2×Q8—42no—
1293C2×Q8—44no—
1294C2×Q8—42no—
1295C2×Q8—42no—
1296C2×Q8—44no—
1297C2×Q8—44no—
1298C2×Q8—42no—
1299C2×Q8—44no—
1300C2×Q8—44no—
1301C2×Q8—42no—
1302C2×Q8—44no—
1303C2×Q8—44no—
1304C2×Q8—432no—
1305C2×Q8—416no—
1306C2×Q8—816no—
1307C2×Q8C22×D414yes—
1308C2×Q8C22×D418yes—
1309C2×Q82−1+414yes—
1310C2×Q82−1+414yes—
1311C2×D4—24no—
1312C2×D4—24no—
1313C2×D4—24no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—28no—
1319C2×D4—24no—
1320C2×D4—22no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—22no—
1324C2×D4—22no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—41no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4C22×D414yes—
1335C22×C4—24no—
1336C22×C4—22no—
1337C22×C4—24no—
1338C22×C4—24no—
1339C22×C4—24no—
1340C22×C4—22no—
1341C22×C4—24no—
1342C22×C4—28no—
1343C22×C4—22no—
1344C22×C4—28no—
1345C22×C4—24no—
1346C22×C4—22no—
1347C22×C4—22no—
1348C22×C4—24no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—28no—
1352C22×C4—24no—
1353C22×C4—22no—
1354C22×C4—24no—
1355C22×C4—22no—
1356C22×C4—24no—
1357C22×C4—22no—
1358C22×C4—24no—
1359C22×C4—28no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—24no—
1365C22×C4—28no—
1366C22×C4—44no—
1367C22×C4—42no—
1368C22×C4—44no—
1369C22×C4—41no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—41no—
1373C22×C4—42no—
1374C22×C4—41no—
1375C22×C4—42no—
1376C22×C4—44no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4—44no—
1380C22×C4C22×D418yes—
1381C22×C4C22×D4116yes—
1382C22×C42−1+414yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2512yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2511yescharacteristic
1390C22×C4C2512yes—
1391C22×C4C2514yes—
1392C22×C4C2512yes—
1393C22×C4C2511yescharacteristic
1394C22×C4C2512yes—
1395C22×C4C2511yescharacteristic
1396C22×C4C2514yes—
1397C22×C4C2511yescharacteristic
1398C22×C4C2514yes—
1399C22×C4C2512yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2511yescharacteristic
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2512yes—
1405C22×C4C2512yes—
1406C22×C4C2511yescharacteristic
1407C22×C4C2514yes—
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2511yescharacteristic
1411C22×C4C2512yes—
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C4⋊C4—24no—
1415C4⋊C4—22no—
1416C4⋊C4—24no—
1417C4⋊C4—24no—
1418C4⋊C4—24no—
1419C4⋊C4—28no—
1420C4⋊C4—28no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—28no—
1424C4⋊C4—22no—
1425C4⋊C4—28no—
1426C4⋊C4—28no—
1427C4⋊C4—28no—
1428C4⋊C4—22no—
1429C4⋊C4—24no—
1430C4⋊C4—28no—
1431C4⋊C4—24no—
1432C4⋊C4—28no—
1433C4⋊C4—24no—
1434C4⋊C4—22no—
1435C4⋊C4—28no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—28no—
1443C4⋊C4—28no—
1444C4⋊C4—24no—
1445C4⋊C4—28no—
1446C4⋊C4—24no—
1447C4⋊C4—28no—
1448C4⋊C4—28no—
1449C4⋊C4—22no—
1450C4⋊C4—24no—
1451C4⋊C4—22no—
1452C4⋊C4—24no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—24no—
1456C4⋊C4—28no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—22no—
1462C4⋊C4—24no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—44no—
1467C4⋊C4—41no—
1468C4⋊C4—41no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—42no—
1472C4⋊C4—42no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—42no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4—44no—
1484C4⋊C4—42no—
1485C4⋊C4—42no—
1486C4⋊C4C22×D418yes—
1487C4⋊C4C22×D414yes—
1488C4⋊C4C22×D418yes—
1489C4⋊C4C22×D418yes—
1490C4⋊C4C22×D4116yes—
1491C4⋊C4C22×D414yes—
1492C4⋊C4C22×D4116yes—
1493C22⋊C4—28no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—28no—
1497C22⋊C4—24no—
1498C22⋊C4—24no—
1499C22⋊C4—22no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—22no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—28no—
1509C22⋊C4—24no—
1510C22⋊C4—28no—
1511C22⋊C4—24no—
1512C22⋊C4—28no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—22no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—28no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—44no—
1525C22⋊C4—42no—
1526C22⋊C4—44no—
1527C22⋊C4—41no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—44no—
1533C22⋊C4—42no—
1534C22⋊C4—44no—
1535C22⋊C4—42no—
1536C22⋊C4—44no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4C22×D4116yes—
1542C22⋊C4C22×D418yes—
1543C42—24no—
1544C42—22no—
1545C42—24no—
1546C42—24no—
1547C42—22no—
1548C42—28no—
1549C42—22no—
1550C42—22no—
1551C42—24no—
1552C42—28no—
1553C42—22no—
1554C42—28no—
1555C42—24no—
1556C42—24no—
1557C42—22no—
1558C42—28no—
1559C42—24no—
1560C42—28no—
1561C42—22no—
1562C42—24no—
1563C42—22no—
1564C42—22no—
1565C42—22no—
1566C42—24no—
1567C42—44no—
1568C42—44no—
1569C42—44no—
1570C42—41no—
1571C42—44no—
1572C42—41no—
1573C42C22×D414yes—
1574C42C22×D418yes—
1575C23—21no—
1576C23—21no—
1577C23—21no—
1578C23—21no—
1579C23—21no—
1580C23—22no—
1581C23—21no—
1582C23—22no—
1583C23—22no—
1584C23—21no—
1585C23—21no—
1586C23—22no—
1587C23—21no—
1588C23—22no—
1589C23—21no—
1590C23—21no—
1591C23—22no—
1592C23—21no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23—22no—
1599C23—22no—
1600C23C23×D414yes—
1601C23C2×2−1+412yes—
1602C23#58512yes—
1603C23C2611yescharacteristic
1604Q8—28no—
1605Q8—28no—
1606Q8—28no—
1607Q8—48no—
1608Q8—416no—
1609Q8—48no—
1610Q8—44no—
1611Q8—48no—
1612Q8—88no—
1613Q8—88no—
1614Q8—84no—
1615Q8—88no—
1616D4—216no—
1617D4—28no—
1618D4—48no—
1619D4—44no—
1620D4—48no—
1621D4—44no—
1622D4—84no—
1623D4—88no—
1624C2×C4—216no—
1625C2×C4—21no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—21no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—24no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—24no—
1639C2×C4—21no—
1640C2×C4—22no—
1641C2×C4—28no—
1642C2×C4—216no—
1643C2×C4—21no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—21no—
1652C2×C4—24no—
1653C2×C4—24no—
1654C2×C4—22no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—22no—
1658C2×C4—21no—
1659C2×C4—21no—
1660C2×C4—21no—
1661C2×C4—21no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—24no—
1667C2×C4—21no—
1668C2×C4—22no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—24no—
1676C2×C4—22no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—21no—
1680C2×C4—22no—
1681C2×C4—24no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—24no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—24no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—24no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—24no—
1705C2×C4—21no—
1706C2×C4—416no—
1707C2×C4—48no—
1708C2×C4—416no—
1709C2×C4—44no—
1710C2×C4—416no—
1711C2×C4—44no—
1712C2×C4—48no—
1713C2×C4—44no—
1714C2×C4—44no—
1715C2×C4—84no—
1716C2×C4—82no—
1717C2×C4—88no—
1718C2×C4—84no—
1719C2×C4C23×D414yes—
1720C2×C4C23×D414yes—
1721C2×C4C23×D414yes—
1722C2×C4C23×D412yes—
1723C2×C4C23×D418yes—
1724C2×C4C23×D412yes—
1725C2×C4C23×D412yes—
1726C2×C4C2×2−1+412yes—
1727C2×C4C2×2−1+414yes—
1728C2×C4C2×2−1+414yes—
1729C2×C4C2×2−1+412yes—
1730C2×C4C2×2−1+412yes—
1731C2×C4C2×2−1+412yes—
1732C2×C4#58512yes—
1733C22—22no—
1734C22—24no—
1735C22—22no—
1736C22—22no—
1737C22—24no—
1738C22—22no—
1739C22—22no—
1740C22—24no—
1741C22—22no—
1742C22—41no—
1743C22—42no—
1744C22—41no—
1745C22—42no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—42no—
1751C22—41no—
1752C22—42no—
1753C22—41no—
1754C22—42no—
1755C22—42no—
1756C22—42no—
1757C22—42no—
1758C22—42no—
1759C22—42no—
1760C22—42no—
1761C22C24×D411yescharacteristic
1762C22C22×2−1+411yescharacteristic
1763C22C22×2−1+411yescharacteristic
1764C22C22×2−1+411yescharacteristic
1765C22C2×#58511yescharacteristic
1766C22C2×#58511yescharacteristic
1767C22H(7,𝔽2)11yescharacteristic
1768C4—24no—
1769C4—28no—
1770C4—22no—
1771C4—22no—
1772C4—24no—
1773C4—24no—
1774C4—24no—
1775C4—24no—
1776C4—44no—
1777C4—41no—
1778C4—41no—
1779C4—42no—
1780C4—42no—
1781C4—42no—
1782C4—42no—
1783C4—41no—
1784C4—42no—
1785C4—41no—
1786C4—42no—
1787C4—42no—
1788C4—41no—
1789C4—41no—
1790C4—41no—
1791C4—44no—
1792C4—41no—
1793C4—42no—
1794C4—41no—
1795C4—42no—
1796C4—44no—
1797C4#348614yes—
1798C4#348914yes—
1799C2—42no—
1800C2—44no—
1801C2—42no—
1802C2—82no—
1803C2#6275211yescharacteristic
1804C2C2×#348611yescharacteristic
1805C2C2×#348911yescharacteristic
1806C2#6294311yescharacteristic
1807C2#6295211yescharacteristic
1808C2#6298711yescharacteristic
1809C2#6303811yescharacteristic
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×#3544C2semidirect
2. C2×Q8×#41C2semidirect
3. #59655C2semidirect
4. #59151C2semidirect
5. #59138C2semidirect
6. #59116C2semidirect
7. #59079C2semidirect
8. #51584C2semidirect
9. #51525C2semidirect
10. #45763C2semidirect
11. #45416C2semidirect
12. #45300C2semidirect
13. #45289C2semidirect
14. #45274C2semidirect
15. #42482C2semidirect
16. #42477C2semidirect
17. #42442C2semidirect
18. #42436C2semidirect
19. #39619C2semidirect
20. #39127C2semidirect
21. #38958C2semidirect
22. #38911C2semidirect
23. #37795C2semidirect
24. #37783C2semidirect
25. #37690C2semidirect
26. Q8×C22⋊Q8C2semidirect
27. #36422C2semidirect
28. #36411C2semidirect
29. #36404C2semidirect
30. #36129C2semidirect
31. #35155C2semidirect
32. #35154C2semidirect
33. #34724C2semidirect
34. #34708C2semidirect
35. #34484C2semidirect
316. #554D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35442
C2×Q8×#412
#596552
#591512
#591382
#591162
#590792
#515842
#515252
#457632
#454162
#453002
#452892
#452742
#424822
#424772
#424422
#424362
#396192
#391272
#389582
#389112
#377952
#377832
#376902
Q8×C22⋊Q82
#364222
#364112
#364042
#361292
#351552
#351542
#347242
#347082
#344842