Finite Group Databasebeta

← #7986113

Subgroups — #7986113

Order 512.

6688 conjugacy classes of subgroups.

The subgroup lattice has 1828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3554C211yesmaximal, characteristic, complemented
2C2×Q8×#41C211yesmaximal, characteristic, complemented
3#59828C211yesmaximal, characteristic, complemented
4#59098C212yesmaximal, complemented
5#59078C211yesmaximal, characteristic, complemented
6#59067C211yesmaximal, characteristic, complemented
7#59052C212yesmaximal, complemented
8#48823C214yesmaximal, complemented
9#48786C214yesmaximal, complemented
10#45762C214yesmaximal, complemented
11#45139C212yesmaximal, complemented
12#45102C212yesmaximal, complemented
13#44996C212yesmaximal, complemented
14#44989C212yesmaximal, complemented
15#42806C212yesmaximal, complemented
16#42787C212yesmaximal, complemented
17#42678C212yesmaximal, complemented
18#42651C212yesmaximal, complemented
19#39597C211yesmaximal, characteristic, complemented
20#39168C211yesmaximal, characteristic, complemented
21#38952C211yesmaximal, characteristic, complemented
22#38921C211yesmaximal, characteristic, complemented
23#37821C214yesmaximal, complemented
24#37795C212yesmaximal, complemented
25#37711C212yesmaximal, complemented
26#36580C211yesmaximal, characteristic, complemented
27#36483C212yesmaximal, complemented
28#36437C212yesmaximal, complemented
29#36410C211yesmaximal, characteristic, complemented
30#36150C211yesmaximal, characteristic, complemented
31#35182C212yesmaximal, complemented
32#35156C212yesmaximal, complemented
33#34724C211yesmaximal, characteristic, complemented
34#34691C211yesmaximal, characteristic, complemented
35#34487C211yesmaximal, characteristic, complemented
36#3554—216no—
37C2×#562C2214yes—
38C2×#559C2211yescharacteristic
39C2×#559C2212yes—
40Q8×#41—216no—
41C2×Q82C2211yescharacteristic
42C2×#557C2211yescharacteristic
43C2×#557C2212yes—
44C2×#557C2211yescharacteristic
45C2×#554C2211yescharacteristic
46C2×#554C2212yes—
47C2×#554C2214yes—
48C2×#554C2212yes—
49C2×#554C2212yes—
50C2×#550C2211yescharacteristic
51C2×D4×Q8C2212yes—
52C2×D4×Q8C2211yescharacteristic
53C2×#548C2212yes—
54C2×#547C2212yes—
55C2×#542C2212yes—
56C2×#542C2212yes—
57C2×#540C2212yes—
58C2×#539C2214yes—
59C2×#536C2212yes—
60C2×#533C2211yescharacteristic
61C2×#533C2211yescharacteristic
62C2×#533C2212yes—
63C2×#533C2212yes—
64C2×#533C2214yes—
65C2×#532C2211yescharacteristic
66C2×#529C2211yescharacteristic
67C2×C4×#41C2211yescharacteristic
68C2×C4×#41C2212yes—
69C22×C4×Q8C2212yes—
70C22×C4×Q8C2211yescharacteristic
71#2858C2211yescharacteristic
72#2857C2211yescharacteristic
73#2856C2211yescharacteristic
74#2854C2212yes—
75#2854C2214yes—
76#2853C2214yes—
77#2853C2214yes—
78#2850C2212yes—
79#2816C2214yes—
80#2814C2214yes—
81#2732C2214yes—
82#2732C2214yes—
83#2731C2214yes—
84#2730C2214yes—
85#2729C2214yes—
86#2729C2214yes—
87#2729C2214yes—
88#2728C2214yes—
89#2726C2214yes—
90#2725C2214yes—
91#2723C2214yes—
92#2720C2214yes—
93#2720C2214yes—
94#2720C2214yes—
95#2713C2214yes—
96#2711C2214yes—
97#2707C2214yes—
98#2698C2214yes—
99#2696C2214yes—
100#2687C2214yes—
101#2687C2214yes—
102#2681C2214yes—
103#2681C2214yes—
104#2680C2214yes—
105#2680C2214yes—
106#2680C2214yes—
107#2677C2214yes—
108#2674C2214yes—
109#2674C2214yes—
110#2674C2214yes—
111#2674C2214yes—
112#2672C2214yes—
113#2672C2214yes—
114#2663C2214yes—
115#2640C2212yes—
116#2638C2214yes—
117#2635C2214yes—
118#2630C2214yes—
119#2628C2212yes—
120#2625C2212yes—
121#2623C2214yes—
122#2623C2214yes—
123#2620C2212yes—
124#2602C2214yes—
125#2600C2214yes—
126#2592C2212yes—
127#2582C2211yescharacteristic
128#2582C2211yescharacteristic
129#2581C2212yes—
130#2580C2212yes—
131#2567C2211yescharacteristic
132#2567C2211yescharacteristic
133#2558C2214yes—
134#2552C2212yes—
135#2552C2212yes—
136#2552C2212yes—
137#2551C2212yes—
138#2548C2211yescharacteristic
139#2548C2211yescharacteristic
140#2546C2212yes—
141#2546C2212yes—
142#2545C2212yes—
143#2545C2212yes—
144#2542C2212yes—
145#2542C2214yes—
146#2540C2212yes—
147#2519C2214yes—
148#2506C2214yes—
149#2501C2212yes—
150#2501C2214yes—
151#2492C2212yes—
152#2490C2212yes—
153#2490C2212yes—
154#2489C2212yes—
155#2486C2212yes—
156#2486C2214yes—
157#2478C2212yes—
158#2476C2214yes—
159#2476C2214yes—
160#2474C2214yes—
161#2473C2214yes—
162#2473C2214yes—
163#2473C2212yes—
164#2470C2214yes—
165#2470C2214yes—
166#2470C2212yes—
167#2469C2214yes—
168#2466C2212yes—
169#2465C2212yes—
170#2464C2214yes—
171#2462C2212yes—
172#2462C2214yes—
173#2461C2214yes—
174#2460C2214yes—
175#2458C2214yes—
176#2458C2214yes—
177#2457C2214yes—
178#2456C2214yes—
179#2455C2214yes—
180#2455C2212yes—
181#2454C2212yes—
182#2454C2212yes—
183#2454C2212yes—
184#2454C2212yes—
185#2453C2212yes—
186#2453C2212yes—
187#2453C2211yescharacteristic
188#2453C2212yes—
189#2452C2212yes—
190#2452C2212yes—
191#2451C2211yescharacteristic
192#2449C2212yes—
193#2448C2212yes—
194#2448C2212yes—
195#2448C2214yes—
196#2448C2212yes—
197#2448C2214yes—
198#2448C2212yes—
199#2448C2212yes—
200#2447C2212yes—
201#2447C2211yescharacteristic
202#2446C2212yes—
203#2446C2212yes—
204#2446C2211yescharacteristic
205#2446C2212yes—
206#2446C2212yes—
207#2445C2212yes—
208#2445C2212yes—
209#2445C2212yes—
210#2443C2214yes—
211#2441C2212yes—
212#2441C2211yescharacteristic
213#2440C2211yescharacteristic
214#2436C2212yes—
215#2434C2211yescharacteristic
216#2432C2212yes—
217#2432C2212yes—
218#2432C2211yescharacteristic
219#2431C2212yes—
220#2429C2212yes—
221#2429C2211yescharacteristic
222#2429C2211yescharacteristic
223#2429C2214yes—
224#2427C2212yes—
225#2426C2212yes—
226#2426C2212yes—
227#2426C2212yes—
228#2423C2212yes—
229#2423C2212yes—
230#2423C2214yes—
231#2423C2214yes—
232#2423C2214yes—
233#2423C2211yescharacteristic
234#2423C2214yes—
235#2422C2212yes—
236#2422C2211yescharacteristic
237#2421C2214yes—
238#2421C2214yes—
239#2417C2211yescharacteristic
240#2417C2214yes—
241#2415C2212yes—
242#2415C2211yescharacteristic
243#2414C2212yes—
244#2414C2212yes—
245#2409C2211yescharacteristic
246#2407C2212yes—
247#2407C2212yes—
248#2407C2211yescharacteristic
249#2399C2212yes—
250#2396C2212yes—
251#2395C2212yes—
252#2392C2212yes—
253#2378C2214yes—
254#2369C2212yes—
255#2367C2212yes—
256#2367C2212yes—
257#2367C2212yes—
258#2367C2212yes—
259#2365C2212yes—
260#2365C2211yescharacteristic
261#2363C2212yes—
262#2363C2212yes—
263#2362C2212yes—
264#2362C2212yes—
265#2361C2212yes—
266#2360C2214yes—
267#2357C2212yes—
268#2355C2211yescharacteristic
269#2354C2211yescharacteristic
270Q8×C4⋊C4C2212yes—
271Q8×C4⋊C4C2212yes—
272#2341C2212yes—
273#2341C2212yes—
274Q8×C22⋊C4C2212yes—
275#2332C2214yes—
276#2331C2212yes—
277#2326C2212yes—
278#2323C2212yes—
279#2323C2212yes—
280#2319C2212yes—
281#2317C2212yes—
282#2311C2212yes—
283#2310C2212yes—
284C4×C4⋊Q8C2211yescharacteristic
285C4×C4⋊Q8C2211yescharacteristic
286C4×C4⋊Q8C2211yescharacteristic
287C4×C22⋊Q8C2211yescharacteristic
288C4×C22⋊Q8C2211yescharacteristic
289C4×C22⋊Q8C2212yes—
290C4×C22⋊Q8C2211yescharacteristic
291C4×C22⋊Q8C2211yescharacteristic
292C4×#123C2214yes—
293C4×#123C2212yes—
294C4×#121C2212yes—
295#2297C2212yes—
296#2296C2212yes—
297#2295C2211yescharacteristic
298#2293C2211yescharacteristic
299#2290C2212yes—
300C42×D4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2312yes—
304C23×Q8C2311yescharacteristic
305C23×Q8C2312yes—
306#562—232no—
307#559—28no—
308#559—216no—
309Q82—28no—
310#557—28no—
311#557—216no—
312#557—28no—
313#554—216no—
314#554—232no—
315#554—216no—
316#554—28no—
317#554—216no—
318#550—28no—
319D4×Q8—216no—
320D4×Q8D4116yescomplemented
321#548—216no—
322#547—216no—
323#542—216no—
324#542—216no—
325#540—216no—
326#539—232no—
327#536—216no—
328#533—28no—
329#533—216no—
330#533—232no—
331#533—216no—
332#533—28no—
333#532—28no—
334C2×C4⋊Q8C2311yescharacteristic
335C2×C4⋊Q8C2311yescharacteristic
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2314yes—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2314yes—
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2314yes—
346C2×C4⋊Q8C2311yescharacteristic
347C2×C4⋊Q8C2312yes—
348C2×#127C2311yescharacteristic
349C2×#127C2312yes—
350#529—28no—
351C2×#126C2312yes—
352C2×#126C2314yes—
353C2×#125C2311yescharacteristic
354C2×#125C2312yes—
355C2×#125C2314yes—
356C2×#125C2312yes—
357C2×#125C2312yes—
358C2×#125C2312yes—
359C2×#125C2314yes—
360C2×#125C2314yes—
361C2×#125C2314yes—
362C2×#125C2312yes—
363C2×#124C2312yes—
364C2×#124C2312yes—
365C2×#124C2311yescharacteristic
366C2×#124C2314yes—
367C2×#124C2312yes—
368C2×#124C2312yes—
369C2×#124C2314yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2312yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×#123C2314yes—
380C2×#123C2314yes—
381C2×#123C2312yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2314yes—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2311yescharacteristic
387C2×C22⋊Q8C2311yescharacteristic
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2311yescharacteristic
391C2×C22⋊Q8C2311yescharacteristic
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2311yescharacteristic
394C2×C22⋊Q8C2314yes—
395C2×C22⋊Q8C2314yes—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2314yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2314yes—
402C2×C22⋊Q8C2314yes—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2314yes—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2311yescharacteristic
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2314yes—
412C2×#121C2314yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2311yescharacteristic
416C2×#121C2312yes—
417C2×#121C2314yes—
418C2×#121C2312yes—
419C2×#121C2314yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C4×#41—28no—
423C4×#41—216no—
424C2×C4×Q8—216no—
425C2×C4×Q8—28no—
426C2×C4×Q8C2311yescharacteristic
427C2×C4×Q8C2311yescharacteristic
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2311yescharacteristic
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2314yes—
437C2×C4×Q8C2312yes—
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2311yescharacteristic
440C2×C4×Q8C2311yescharacteristic
441C2×C4×Q8C2312yes—
442C2×C4×Q8C2311yescharacteristic
443C2×C4×Q8C2314yes—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2314yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2311yescharacteristic
450C2×C4×D4C2312yes—
451C2×C4×D4C2314yes—
452C2×C4×D4C2314yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2314yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2311yescharacteristic
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2314yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×#117C2312yes—
470C2×#117C2312yes—
471C2×#117C2312yes—
472C2×#117C2311yescharacteristic
473C2×#117C2314yes—
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2314yes—
479C22×C4⋊C4C2311yescharacteristic
480C22×C4⋊C4C2314yes—
481C22×C4⋊C4C2312yes—
482C22×C42C2312yes—
483C22×C42C2314yes—
484C22×C42C2312yes—
485C22×C42C2311yescharacteristic
486C22×C42C2311yescharacteristic
487#400C2314yes—
488#400C2312yes—
489#400C2314yes—
490#400C2314yes—
491#400C2314yes—
492#400C2314yes—
493#400C2314yes—
494#400C2312yes—
495#399C2314yes—
496#399C2314yes—
497#399C2314yes—
498#399C2314yes—
499#399C2314yes—
500#399C2314yes—
501#399C2312yes—
502#399C2312yes—
503#399C2314yes—
504#399C2314yes—
505#399C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2312yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2312yes—
518#398C2312yes—
519#398C2312yes—
520#398C2312yes—
521#398C2312yes—
522#398C2312yes—
523#398C2312yes—
524#398C2314yes—
525#398C2314yes—
526#398C2314yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#397C2314yes—
533#397C2314yes—
534#397C2312yes—
535#397C2314yes—
536#397C2312yes—
537#397C2312yes—
538#397C2312yes—
539#397C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2312yes—
545#396C2312yes—
546#396C2312yes—
547#396C2312yes—
548#396C2314yes—
549#396C2314yes—
550#396C2314yes—
551#396C2314yes—
552#395C2314yes—
553#395C2314yes—
554#395C2314yes—
555#395C2314yes—
556#395C2312yes—
557#395C2312yes—
558#395C2312yes—
559#395C2312yes—
560#395C2312yes—
561#394C2312yes—
562#394C2314yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2312yes—
568#394C2312yes—
569#394C2314yes—
570#394C2314yes—
571#394C2312yes—
572#394C2314yes—
573#394C2314yes—
574#394C2314yes—
575#394C2312yes—
576#394C2314yes—
577#394C2314yes—
578#394C2314yes—
579#393C2312yes—
580#393C2314yes—
581#393C2314yes—
582#393C2314yes—
583#393C2314yes—
584#393C2314yes—
585#392C2314yes—
586#392C2314yes—
587#392C2312yes—
588#392C2314yes—
589#391C2312yes—
590#391C2311yescharacteristic
591#391C2311yescharacteristic
592#391C2311yescharacteristic
593#391C2311yescharacteristic
594#391C2311yescharacteristic
595#391C2314yes—
596#391C2312yes—
597#391C2312yes—
598#391C2314yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2311yescharacteristic
603#391C2312yes—
604#391C2312yes—
605#391C2312yes—
606#391C2314yes—
607#391C2314yes—
608#391C2311yescharacteristic
609#391C2311yescharacteristic
610#391C2312yes—
611#391C2314yes—
612#391C2311yescharacteristic
613#391C2312yes—
614#391C2311yescharacteristic
615#390C2312yes—
616#390C2312yes—
617#390C2311yescharacteristic
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2314yes—
626#390C2314yes—
627#390C2312yes—
628#390C2314yes—
629#390C2314yes—
630#390C2312yes—
631#390C2314yes—
632#390C2312yes—
633#390C2311yescharacteristic
634#390C2312yes—
635#390C2314yes—
636#390C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2311yescharacteristic
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2311yescharacteristic
652#389C2314yes—
653#389C2314yes—
654#389C2311yescharacteristic
655#389C2312yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2311yescharacteristic
660#389C2311yescharacteristic
661#389C2314yes—
662#389C2314yes—
663#389C2314yes—
664#389C2314yes—
665#389C2314yes—
666#389C2312yes—
667#389C2314yes—
668#389C2314yes—
669#389C2311yescharacteristic
670#389C2311yescharacteristic
671#389C2314yes—
672#389C2312yes—
673#389C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2311yescharacteristic
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2312yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2312yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2312yes—
707#388C2314yes—
708#388C2314yes—
709#388C2312yes—
710#388C2312yes—
711#388C2312yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2312yes—
718#387C2314yes—
719#387C2314yes—
720#387C2312yes—
721#387C2312yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2312yes—
728#387C2312yes—
729#387C2314yes—
730#387C2314yes—
731#387C2312yes—
732#387C2312yes—
733#387C2312yes—
734#387C2312yes—
735#387C2312yes—
736#387C2312yes—
737#387C2312yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2312yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2312yes—
750#386C2312yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2314yes—
755#385C2314yes—
756#385C2314yes—
757#385C2312yes—
758#385C2312yes—
759#385C2312yes—
760#385C2314yes—
761#385C2312yes—
762#385C2314yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2312yes—
767#385C2312yes—
768#385C2312yes—
769#385C2314yes—
770#385C2312yes—
771#385C2312yes—
772#385C2312yes—
773#385C2312yes—
774#385C2312yes—
775#385C2312yes—
776#384C2311yescharacteristic
777#384C2311yescharacteristic
778#384C2311yescharacteristic
779#384C2312yes—
780#384C2312yes—
781#384C2314yes—
782#384C2314yes—
783#384C2314yes—
784#382C2314yes—
785#382C2312yes—
786#381C2314yes—
787#381C2314yes—
788#381C2312yes—
789#381C2314yes—
790#380C2314yes—
791#380C2314yes—
792#380C2314yes—
793#380C2312yes—
794#380C2312yes—
795#380C2311yescharacteristic
796#380C2312yes—
797#380C2314yes—
798#380C2314yes—
799#380C2311yescharacteristic
800#380C2311yescharacteristic
801#380C2311yescharacteristic
802#380C2312yes—
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2314yes—
816C4×C4⋊C4C2314yes—
817C4×C4⋊C4C2314yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2312yes—
822C4×C4⋊C4C2312yes—
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2312yes—
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2311yescharacteristic
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2311yescharacteristic
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2311yescharacteristic
843#376C2312yes—
844C43C2311yescharacteristic
845C2×#41—28no—
846C2×#41—24no—
847C2×#41—24no—
848C2×#41—28no—
849C2×#41—24no—
850C2×#41—44no—
851C2×#41—44no—
852C2×#41—44no—
853C2×#41—44no—
854C22×Q8—24no—
855C22×Q8—44no—
856C22×Q8—44no—
857C22×Q8—42no—
858C22×Q8—42no—
859C22×Q8C2×D4116yes—
860C22×Q8C2411yescharacteristic
861C22×Q8C2411yescharacteristic
862C22×Q8C2411yescharacteristic
863C22×Q8C2412yes—
864C22×Q8C2411yescharacteristic
865C22×Q8C2411yescharacteristic
866C22×Q8C2412yes—
867C22×Q8C2414yes—
868C22×Q8C2412yes—
869C22×Q8C2412yes—
870C22×Q8C2414yes—
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2412yes—
874C22×D4C2411yescharacteristic
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2412yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C23×C4C2411yescharacteristic
883C23×C4C2412yes—
884C23×C4C2411yescharacteristic
885C23×C4C2411yescharacteristic
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2414yes—
891C23×C4C2412yes—
892C23×C4C2414yes—
893C23×C4C2414yes—
894C23×C4C2412yes—
895C23×C4C2414yes—
896C23×C4C2411yescharacteristic
897C23×C4C2414yes—
898C4⋊Q8—24no—
899C4⋊Q8—28no—
900C4⋊Q8—216no—
901C4⋊Q8—28no—
902C4⋊Q8—24no—
903C4⋊Q8—24no—
904C4⋊Q8—28no—
905C4⋊Q8—216no—
906C4⋊Q8—24no—
907C4⋊Q8—28no—
908C4⋊Q8—42no—
909C4⋊Q8—84no—
910C4⋊Q8C2×D418yes—
911C4⋊Q8C2×D4116yes—
912#127—28no—
913#127—24no—
914#126—216no—
915#126—28no—
916#125—24no—
917#125—28no—
918#125—216no—
919#125—216no—
920#125—216no—
921#125—28no—
922#125—28no—
923#125—28no—
924#125—216no—
925#125—28no—
926#124—28no—
927#124—28no—
928#124—216no—
929#124—28no—
930#124—24no—
931#124—216no—
932#124—28no—
933#124—44no—
934#124—44no—
935#124—82no—
936#123—216no—
937#123—216no—
938#123—216no—
939#123—216no—
940#123—28no—
941#123—216no—
942#123—216no—
943#123—44no—
944#123—48no—
945#123—84no—
946#123—84no—
947#123—84no—
948C22⋊Q8—24no—
949C22⋊Q8—28no—
950C22⋊Q8—216no—
951C22⋊Q8—216no—
952C22⋊Q8—216no—
953C22⋊Q8—216no—
954C22⋊Q8—24no—
955C22⋊Q8—28no—
956C22⋊Q8—216no—
957C22⋊Q8—24no—
958C22⋊Q8—24no—
959C22⋊Q8—24no—
960C22⋊Q8—216no—
961C22⋊Q8—28no—
962C22⋊Q8—28no—
963C22⋊Q8—216no—
964C22⋊Q8—216no—
965C22⋊Q8—216no—
966C22⋊Q8—216no—
967C22⋊Q8—44no—
968C22⋊Q8—48no—
969C22⋊Q8—42no—
970C22⋊Q8—42no—
971C22⋊Q8—82no—
972C22⋊Q8—84no—
973C22⋊Q8C2×D4132yes—
974C22⋊Q8C2×D4116yes—
975#121—24no—
976#121—216no—
977#121—28no—
978#121—28no—
979#121—28no—
980#121—28no—
981#121—216no—
982#121—216no—
983#121—44no—
984#121—82no—
985C4×Q8—24no—
986C4×Q8—28no—
987C4×Q8—216no—
988C4×Q8—28no—
989C4×Q8—28no—
990C4×Q8—216no—
991C4×Q8—28no—
992C4×Q8—24no—
993C4×Q8—28no—
994C4×Q8—24no—
995C4×Q8—28no—
996C4×Q8—216no—
997C4×Q8—28no—
998C4×Q8—28no—
999C4×Q8—24no—
1000C4×Q8—28no—
1001C4×Q8—24no—
1002C4×Q8—28no—
1003C4×Q8—24no—
1004C4×Q8—24no—
1005C4×Q8—28no—
1006C4×Q8—44no—
1007C4×Q8—44no—
1008C4×Q8C2×D418yes—
1009C4×D4—24no—
1010C4×D4—28no—
1011C4×D4—28no—
1012C4×D4—216no—
1013C4×D4—28no—
1014C4×D4—216no—
1015C4×D4—24no—
1016C4×D4—28no—
1017C4×D4—28no—
1018C4×D4—28no—
1019C4×D4—28no—
1020C4×D4—28no—
1021C4×D4—216no—
1022C4×D4—28no—
1023C4×D4—42no—
1024C4×D4—42no—
1025C4×D4—84no—
1026C4×D4C2×D418yes—
1027C4×D4C2×D4116yes—
1028#117—28no—
1029#117—24no—
1030#117—28no—
1031#117—28no—
1032#117—216no—
1033#117—28no—
1034#117—44no—
1035#117—44no—
1036C2×C4⋊C4—28no—
1037C2×C4⋊C4—216no—
1038C2×C4⋊C4—24no—
1039C2×C4⋊C4—28no—
1040C2×C4⋊C4—216no—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2411yescharacteristic
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2411yescharacteristic
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2412yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2414yes—
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2411yescharacteristic
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2414yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C22⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2412yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2411yescharacteristic
1153C2×C22⋊C4C2411yescharacteristic
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2414yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2414yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2414yes—
1174C2×C42—28no—
1175C2×C42—216no—
1176C2×C42—24no—
1177C2×C42—28no—
1178C2×C42—24no—
1179C2×C42C2411yescharacteristic
1180C2×C42C2412yes—
1181C2×C42C2412yes—
1182C2×C42C2411yescharacteristic
1183C2×C42C2414yes—
1184C2×C42C2411yescharacteristic
1185C2×C42C2412yes—
1186C2×C42C2412yes—
1187C2×C42C2412yes—
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190C2×C42C2412yes—
1191C2×C42C2412yes—
1192C2×C42C2411yescharacteristic
1193C2×C42C2414yes—
1194C2×C42C2412yes—
1195C2×C42C2414yes—
1196C2×C42C2414yes—
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199C2×C42C2411yescharacteristic
1200C2×C42C2412yes—
1201C2×C42C2411yescharacteristic
1202C2×C42C2412yes—
1203C2×C42C2411yescharacteristic
1204C2×C42C2414yes—
1205C2×C42C2414yes—
1206C2×C42C2414yes—
1207C2×C42C2414yes—
1208C2×C42C2411yescharacteristic
1209C2×C42C2412yes—
1210C2×C42C2411yescharacteristic
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2411yescharacteristic
1216#95C2412yes—
1217#95C2412yes—
1218#95C2411yescharacteristic
1219#95C2412yes—
1220#95C2412yes—
1221#95C2411yescharacteristic
1222#95C2411yescharacteristic
1223#95C2412yes—
1224#95C2412yes—
1225#95C2411yescharacteristic
1226#95C2411yescharacteristic
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2412yes—
1238#95C2414yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2414yes—
1243#95C2414yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2414yes—
1248#95C2412yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2412yes—
1255#95C2414yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2412yes—
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271C24C2511yescharacteristic
1272C24C2514yes—
1273C24C2512yes—
1274C24C2511yescharacteristic
1275#41—232no—
1276#41—816no—
1277#41—816no—
1278C2×Q8—22no—
1279C2×Q8—22no—
1280C2×Q8—24no—
1281C2×Q8—22no—
1282C2×Q8—22no—
1283C2×Q8—24no—
1284C2×Q8—24no—
1285C2×Q8—28no—
1286C2×Q8—22no—
1287C2×Q8—22no—
1288C2×Q8—22no—
1289C2×Q8—24no—
1290C2×Q8—24no—
1291C2×Q8—22no—
1292C2×Q8—22no—
1293C2×Q8—22no—
1294C2×Q8—22no—
1295C2×Q8—22no—
1296C2×Q8—22no—
1297C2×Q8—44no—
1298C2×Q8—44no—
1299C2×Q8—42no—
1300C2×Q8—42no—
1301C2×Q8—44no—
1302C2×Q8—42no—
1303C2×Q8—42no—
1304C2×Q8—44no—
1305C2×Q8—42no—
1306C2×Q8—42no—
1307C2×Q8—432no—
1308C2×Q8—416no—
1309C2×Q8C22×D414yes—
1310C2×Q8C22×D418yes—
1311C2×Q8C22×D4116yes—
1312C2×Q82−1+414yes—
1313C2×D4—24no—
1314C2×D4—24no—
1315C2×D4—22no—
1316C2×D4—24no—
1317C2×D4—28no—
1318C2×D4—28no—
1319C2×D4—28no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—28no—
1324C2×D4—24no—
1325C2×D4—22no—
1326C2×D4—22no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—41no—
1332C2×D4—41no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—42no—
1336C2×D4—44no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—44no—
1340C2×D4—42no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4C22×D414yes—
1346C22×C4—24no—
1347C22×C4—22no—
1348C22×C4—24no—
1349C22×C4—24no—
1350C22×C4—22no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—28no—
1355C22×C4—24no—
1356C22×C4—22no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—22no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—24no—
1367C22×C4—22no—
1368C22×C4—28no—
1369C22×C4—28no—
1370C22×C4—28no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—42no—
1374C22×C4—42no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—42no—
1378C22×C4—44no—
1379C22×C4—41no—
1380C22×C4—42no—
1381C22×C4—44no—
1382C22×C4—41no—
1383C22×C4—44no—
1384C22×C4—42no—
1385C22×C4—42no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4C22×D418yes—
1392C22×C4C22×D4116yes—
1393C22×C42−1+414yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2512yes—
1396C22×C4C2512yes—
1397C22×C4C2514yes—
1398C22×C4C2511yescharacteristic
1399C22×C4C2512yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2511yescharacteristic
1404C22×C4C2511yescharacteristic
1405C22×C4C2512yes—
1406C22×C4C2511yescharacteristic
1407C22×C4C2512yes—
1408C22×C4C2511yescharacteristic
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2514yes—
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2512yes—
1416C22×C4C2514yes—
1417C22×C4C2511yescharacteristic
1418C22×C4C2512yes—
1419C22×C4C2512yes—
1420C22×C4C2511yescharacteristic
1421C22×C4C2512yes—
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C4⋊C4—24no—
1426C4⋊C4—22no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—28no—
1430C4⋊C4—28no—
1431C4⋊C4—24no—
1432C4⋊C4—28no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—28no—
1436C4⋊C4—24no—
1437C4⋊C4—28no—
1438C4⋊C4—28no—
1439C4⋊C4—24no—
1440C4⋊C4—24no—
1441C4⋊C4—28no—
1442C4⋊C4—24no—
1443C4⋊C4—22no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—24no—
1448C4⋊C4—22no—
1449C4⋊C4—24no—
1450C4⋊C4—22no—
1451C4⋊C4—24no—
1452C4⋊C4—28no—
1453C4⋊C4—24no—
1454C4⋊C4—28no—
1455C4⋊C4—28no—
1456C4⋊C4—28no—
1457C4⋊C4—28no—
1458C4⋊C4—24no—
1459C4⋊C4—22no—
1460C4⋊C4—24no—
1461C4⋊C4—22no—
1462C4⋊C4—22no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—22no—
1468C4⋊C4—24no—
1469C4⋊C4—22no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—24no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C4⋊C4—41no—
1476C4⋊C4—41no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—42no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4—44no—
1484C4⋊C4—42no—
1485C4⋊C4—42no—
1486C4⋊C4—42no—
1487C4⋊C4—44no—
1488C4⋊C4—44no—
1489C4⋊C4—44no—
1490C4⋊C4—42no—
1491C4⋊C4—42no—
1492C4⋊C4—42no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—42no—
1496C4⋊C4—42no—
1497C4⋊C4—42no—
1498C4⋊C4C22×D414yes—
1499C4⋊C4C22×D418yes—
1500C4⋊C4C22×D4116yes—
1501C4⋊C4C22×D414yes—
1502C4⋊C4C22×D418yes—
1503C4⋊C4C22×D418yes—
1504C22⋊C4—28no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—22no—
1510C22⋊C4—24no—
1511C22⋊C4—28no—
1512C22⋊C4—24no—
1513C22⋊C4—24no—
1514C22⋊C4—24no—
1515C22⋊C4—28no—
1516C22⋊C4—28no—
1517C22⋊C4—28no—
1518C22⋊C4—28no—
1519C22⋊C4—24no—
1520C22⋊C4—28no—
1521C22⋊C4—28no—
1522C22⋊C4—22no—
1523C22⋊C4—28no—
1524C22⋊C4—24no—
1525C22⋊C4—28no—
1526C22⋊C4—28no—
1527C22⋊C4—22no—
1528C22⋊C4—22no—
1529C22⋊C4—28no—
1530C22⋊C4—24no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—44no—
1534C22⋊C4—41no—
1535C22⋊C4—41no—
1536C22⋊C4—42no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—42no—
1548C22⋊C4—44no—
1549C22⋊C4—42no—
1550C22⋊C4—44no—
1551C22⋊C4—42no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4C22×D418yes—
1557C22⋊C4C22×D4116yes—
1558C42—24no—
1559C42—22no—
1560C42—28no—
1561C42—22no—
1562C42—24no—
1563C42—24no—
1564C42—22no—
1565C42—22no—
1566C42—22no—
1567C42—28no—
1568C42—24no—
1569C42—22no—
1570C42—24no—
1571C42—28no—
1572C42—24no—
1573C42—24no—
1574C42—24no—
1575C42—28no—
1576C42—22no—
1577C42—24no—
1578C42—22no—
1579C42—22no—
1580C42—24no—
1581C42—22no—
1582C42—22no—
1583C42—44no—
1584C42—44no—
1585C42—44no—
1586C42—44no—
1587C42—41no—
1588C42C22×D414yes—
1589C42C22×D418yes—
1590C23—21no—
1591C23—22no—
1592C23—22no—
1593C23—21no—
1594C23—21no—
1595C23—22no—
1596C23—21no—
1597C23—22no—
1598C23—22no—
1599C23—21no—
1600C23—22no—
1601C23—21no—
1602C23—21no—
1603C23—24no—
1604C23—21no—
1605C23—24no—
1606C23—21no—
1607C23—24no—
1608C23—24no—
1609C23—21no—
1610C23—21no—
1611C23—24no—
1612C23—21no—
1613C23—24no—
1614C23—21no—
1615C23—24no—
1616C23C23×D414yes—
1617C23C2×2−1+412yes—
1618C23C2611yescharacteristic
1619Q8—28no—
1620Q8—216no—
1621Q8—28no—
1622Q8—416no—
1623Q8—48no—
1624Q8—44no—
1625Q8—44no—
1626Q8—44no—
1627Q8—88no—
1628Q8—84no—
1629Q8—84no—
1630D4—216no—
1631D4—28no—
1632D4—44no—
1633D4—48no—
1634D4—48no—
1635D4—84no—
1636D4—88no—
1637D4—84no—
1638D4—88no—
1639D4—88no—
1640D4—88no—
1641C2×C4—216no—
1642C2×C4—21no—
1643C2×C4—22no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—22no—
1647C2×C4—21no—
1648C2×C4—21no—
1649C2×C4—22no—
1650C2×C4—24no—
1651C2×C4—24no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—21no—
1658C2×C4—216no—
1659C2×C4—28no—
1660C2×C4—21no—
1661C2×C4—22no—
1662C2×C4—22no—
1663C2×C4—22no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—24no—
1667C2×C4—22no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—22no—
1674C2×C4—22no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—24no—
1682C2×C4—22no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—22no—
1692C2×C4—24no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—24no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—21no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—24no—
1715C2×C4—22no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—24no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—416no—
1724C2×C4—48no—
1725C2×C4—44no—
1726C2×C4—44no—
1727C2×C4—44no—
1728C2×C4—84no—
1729C2×C4—88no—
1730C2×C4—82no—
1731C2×C4—82no—
1732C2×C4—88no—
1733C2×C4—88no—
1734C2×C4—84no—
1735C2×C4—88no—
1736C2×C4C23×D414yes—
1737C2×C4C23×D418yes—
1738C2×C4C23×D412yes—
1739C2×C4C23×D414yes—
1740C2×C4C23×D414yes—
1741C2×C4C23×D412yes—
1742C2×C4C23×D412yes—
1743C2×C4C2×2−1+412yes—
1744C2×C4C2×2−1+414yes—
1745C2×C4C2×2−1+412yes—
1746C2×C4C2×2−1+412yes—
1747C2×C4#58512yes—
1748C2×C4#58512yes—
1749C2×C4#58512yes—
1750C22—24no—
1751C22—22no—
1752C22—24no—
1753C22—24no—
1754C22—22no—
1755C22—22no—
1756C22—41no—
1757C22—42no—
1758C22—41no—
1759C22—41no—
1760C22—42no—
1761C22—41no—
1762C22—42no—
1763C22—42no—
1764C22—44no—
1765C22—41no—
1766C22—41no—
1767C22—44no—
1768C22—41no—
1769C22—44no—
1770C22—41no—
1771C22—44no—
1772C22—41no—
1773C22—44no—
1774C22—41no—
1775C22—44no—
1776C22—44no—
1777C22—41no—
1778C22C24×D411yescharacteristic
1779C22C22×2−1+411yescharacteristic
1780C22C22×2−1+411yescharacteristic
1781C22C2×#58511yescharacteristic
1782C22C2×#58511yescharacteristic
1783C22C2×#58511yescharacteristic
1784C22H(7,𝔽2)11yescharacteristic
1785C4—24no—
1786C4—22no—
1787C4—24no—
1788C4—24no—
1789C4—28no—
1790C4—22no—
1791C4—22no—
1792C4—24no—
1793C4—41no—
1794C4—42no—
1795C4—42no—
1796C4—41no—
1797C4—44no—
1798C4—42no—
1799C4—42no—
1800C4—42no—
1801C4—41no—
1802C4—41no—
1803C4—41no—
1804C4—42no—
1805C4—42no—
1806C4—42no—
1807C4—41no—
1808C4—42no—
1809C4—42no—
1810C4—41no—
1811C4—42no—
1812C4—41no—
1813C4—44no—
1814C4#348514yes—
1815C4#348614yes—
1816C2—44no—
1817C2—42no—
1818C2—81no—
1819C2—84no—
1820C2#6276111yescharacteristic
1821C2C2×#348511yescharacteristic
1822C2C2×#348611yescharacteristic
1823C2#6295211yescharacteristic
1824C2#6296211yescharacteristic
1825C2#6300311yescharacteristic
1826C2#6303311yescharacteristic
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×Q8×#41C2semidirect
3. #59828C2semidirect
4. #59098C2semidirect
5. #59078C2semidirect
6. #59067C2semidirect
7. #59052C2semidirect
8. #48823C2semidirect
9. #48786C2semidirect
10. #45762C2semidirect
11. #45139C2semidirect
12. #45102C2semidirect
13. #44996C2semidirect
14. #44989C2semidirect
15. #42806C2semidirect
16. #42787C2semidirect
17. #42678C2semidirect
18. #42651C2semidirect
19. #39597C2semidirect
20. #39168C2semidirect
21. #38952C2semidirect
22. #38921C2semidirect
23. #37821C2semidirect
24. #37795C2semidirect
25. #37711C2semidirect
26. #36580C2semidirect
27. #36483C2semidirect
28. #36437C2semidirect
29. #36410C2semidirect
30. #36150C2semidirect
31. #35182C2semidirect
32. #35156C2semidirect
33. #34724C2semidirect
34. #34691C2semidirect
35. #34487C2semidirect
320. D4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35542
C2×Q8×#412
#598282
#590982
#590782
#590672
#590522
#488232
#487862
#457622
#451392
#451022
#449962
#449892
#428062
#427872
#426782
#426512
#395972
#391682
#389522
#389212
#378212
#377952
#377112
#365802
#364832
#364372
#364102
#361502
#351822
#351562
#347242
#346912
#344872