Finite Group Databasebeta

← #7681054

Subgroups — #7681054

Order 512.

6750 conjugacy classes of subgroups.

The subgroup lattice has 1802 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3509C211yesmaximal, characteristic, complemented
2C2×#3461C211yesmaximal, characteristic
3#59109C214yesmaximal, complemented
4#59106C214yesmaximal, complemented
5#59073C212yesmaximal, complemented
6#59071C212yesmaximal, complemented
7#59069C212yesmaximal, complemented
8#59067C212yesmaximal, complemented
9#45324C212yesmaximal, complemented
10#45324C212yesmaximal, complemented
11#45227C212yesmaximal, complemented
12#45077C212yesmaximal, complemented
13#44475C214yesmaximal, complemented
14#44042C214yesmaximal, complemented
15#39353C212yesmaximal, complemented
16#39347C212yesmaximal, complemented
17#37799C212yesmaximal, complemented
18#37795C212yesmaximal, complemented
19#37793C212yesmaximal, complemented
20#37793C212yesmaximal, complemented
21#36140C212yesmaximal, complemented
22#36133C212yesmaximal, complemented
23#35673C211yesmaximal, characteristic, complemented
24#35668C211yesmaximal, characteristic, complemented
25#35667C211yesmaximal, characteristic, complemented
26#35566C211yesmaximal, characteristic, complemented
27#35308C211yesmaximal, characteristic
28#35307C211yesmaximal, characteristic, complemented
29#35255C211yesmaximal, characteristic
30#34745C211yesmaximal, characteristic, complemented
31C2×#2446C211yesmaximal, characteristic, complemented
32#34268C211yesmaximal, characteristic, complemented
33#34268C211yesmaximal, characteristic, complemented
34#34249C211yesmaximal, characteristic, complemented
35C4⋊C4×#41C211yesmaximal, characteristic, complemented
36#3509—216no—
37C2×#557C2212yes—
38C2×#557C2212yes—
39C2×#556C2212yes—
40C2×#556C2212yes—
41C2×#552C2214yes—
42C2×#552C2214yes—
43#3461—216no—
44C2×#544C2211yescharacteristic
45C2×#542C2212yes—
46C2×#542C2212yes—
47C2×#541C2212yes—
48C2×#541C2212yes—
49C2×#541C2212yes—
50C2×#541C2212yes—
51C2×#539C2214yes—
52C2×#537C2211yescharacteristic
53C2×#536C2211yescharacteristic
54C2×#536C2211yescharacteristic
55C2×#536C2211yescharacteristic
56C2×#536C2211yescharacteristic
57C2×#533C2212yes—
58C2×#533C2212yes—
59C2×#533C2212yes—
60C2×#533C2211yescharacteristic
61C2×#533C2212yes—
62C22×C4⋊Q8C2211yescharacteristic
63C2×#529C2212yes—
64C2×#529C2212yes—
65C2×#529C2214yes—
66C2×#519C2211yescharacteristic
67C2×#519C2211yescharacteristic
68C2×#519C2211yescharacteristic
69C2×C4×#41C2211yescharacteristic
70C2×C4×#41C2211yescharacteristic
71C2×C4×#41C2211yescharacteristic
72C2×C4×#41C2211yescharacteristic
73C22×C4×Q8C2211yescharacteristic
74#2857C2212yes—
75#2855C2212yes—
76#2855C2212yes—
77#2855C2212yes—
78#2854C2212yes—
79#2850C2212yes—
80#2726C2214yes—
81#2726C2214yes—
82#2725C2214yes—
83#2725C2214yes—
84#2722C2214yes—
85#2722C2214yes—
86#2721C2214yes—
87#2721C2214yes—
88#2720C2214yes—
89#2720C2214yes—
90#2719C2214yes—
91#2719C2214yes—
92#2719C2214yes—
93#2719C2214yes—
94#2718C2214yes—
95#2718C2214yes—
96#2715C2214yes—
97#2698C2214yes—
98#2698C2214yes—
99#2695C2214yes—
100#2689C2214yes—
101#2689C2214yes—
102#2680C2214yes—
103#2674C2214yes—
104#2625C2212yes—
105#2625C2212yes—
106#2625C2212yes—
107#2624C2212yes—
108#2621C2212yes—
109#2620C2212yes—
110#2584C2212yes—
111#2584C2212yes—
112#2568C2212yes—
113#2567C2212yes—
114#2567C2212yes—
115#2565C2212yes—
116#2565C2212yes—
117#2553C2214yes—
118#2552C2214yes—
119#2552C2212yes—
120#2551C2212yes—
121#2550C2212yes—
122#2550C2212yes—
123#2549C2214yes—
124#2546C2212yes—
125#2546C2212yes—
126#2546C2212yes—
127#2545C2212yes—
128#2545C2212yes—
129#2521C2214yes—
130#2519C2214yes—
131#2519C2214yes—
132#2506C2214yes—
133#2506C2214yes—
134#2498C2214yes—
135#2498C2214yes—
136#2496C2214yes—
137#2496C2214yes—
138#2489C2214yes—
139#2488C2214yes—
140#2478C2214yes—
141#2478C2214yes—
142#2478C2214yes—
143#2478C2214yes—
144#2475C2214yes—
145#2475C2214yes—
146#2474C2214yes—
147#2470C2214yes—
148#2469C2214yes—
149#2469C2214yes—
150#2468C2214yes—
151#2466C2214yes—
152#2462C2214yes—
153#2462C2214yes—
154#2462C2214yes—
155#2462C2214yes—
156#2454C2211yescharacteristic
157#2454C2211yescharacteristic
158#2453C2212yes—
159#2453C2212yes—
160#2453C2211yescharacteristic
161#2453C2214yes—
162#2453C2214yes—
163#2453C2211yescharacteristic
164#2452C2211yescharacteristic
165#2452C2211yescharacteristic
166#2451C2211yescharacteristic
167#2451C2212yes—
168#2451C2212yes—
169#2451C2211yescharacteristic
170#2450C2212yes—
171#2450C2212yes—
172#2449C2212yes—
173#2449C2214yes—
174#2449C2212yes—
175#2448C2212yes—
176#2448C2212yes—
177#2447C2212yes—
178#2447C2212yes—
179#2446C2212yes—
180#2446C2212yes—
181#2446C2212yes—
182#2446C2212yes—
183#2446C2212yes—
184#2446C2212yes—
185#2446C2212yes—
186#2446C2212yes—
187#2446C2212yes—
188#2446C2212yes—
189#2446C2212yes—
190#2446C2212yes—
191#2444C2214yes—
192#2443C2214yes—
193#2441C2214yes—
194#2440C2214yes—
195#2440C2214yes—
196#2438C2214yes—
197#2438C2214yes—
198#2438C2214yes—
199#2438C2214yes—
200#2429C2214yes—
201#2429C2212yes—
202#2429C2212yes—
203#2429C2212yes—
204#2429C2212yes—
205#2429C2212yes—
206#2429C2212yes—
207#2427C2212yes—
208#2427C2212yes—
209#2425C2214yes—
210#2425C2214yes—
211#2423C2212yes—
212#2423C2212yes—
213#2423C2212yes—
214#2422C2212yes—
215#2421C2212yes—
216#2421C2212yes—
217#2421C2212yes—
218#2420C2212yes—
219#2419C2214yes—
220#2419C2214yes—
221#2413C2214yes—
222#2413C2214yes—
223#2413C2214yes—
224#2396C2212yes—
225#2396C2212yes—
226C2×#400C2212yes—
227C2×#398C2212yes—
228#2367C2212yes—
229#2367C2212yes—
230#2367C2212yes—
231#2367C2212yes—
232#2365C2212yes—
233#2365C2212yes—
234#2365C2212yes—
235#2365C2214yes—
236#2365C2212yes—
237#2362C2214yes—
238#2359C2214yes—
239#2359C2214yes—
240#2359C2214yes—
241#2359C2214yes—
242#2359C2214yes—
243#2351C2211yescharacteristic
244#2351C2212yes—
245#2351C2212yes—
246#2351C2211yescharacteristic
247#2351C2212yes—
248#2351C2212yes—
249Q8×C4⋊C4C2211yescharacteristic
250Q8×C4⋊C4C2212yes—
251Q8×C4⋊C4C2212yes—
252Q8×C4⋊C4C2211yescharacteristic
253Q8×C4⋊C4C2212yes—
254Q8×C4⋊C4C2212yes—
255#2349C2211yescharacteristic
256#2349C2212yes—
257#2349C2211yescharacteristic
258#2349C2212yes—
259D4×C4⋊C4C2212yes—
260D4×C4⋊C4C2211yescharacteristic
261D4×C4⋊C4C2211yescharacteristic
262D4×C4⋊C4C2212yes—
263#2344C2214yes—
264#2323C2212yes—
265#2323C2212yes—
266#2323C2212yes—
267#2323C2212yes—
268#2317C2214yes—
269#2317C2211yescharacteristic
270#2317C2211yescharacteristic
271#2316C2211yescharacteristic
272#2311C2211yescharacteristic
273#2311C2211yescharacteristic
274#2310C2211yescharacteristic
275C4×C22⋊Q8C2212yes—
276C4×C22⋊Q8C2212yes—
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2212yes—
280C4×C22⋊Q8C2212yes—
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2296C2211yescharacteristic
284#2296C2212yes—
285#2296C2212yes—
286#2296C2211yescharacteristic
287#2296C2211yescharacteristic
288#2296C2211yescharacteristic
289#2296C2214yes—
290C2×#391C2211yescharacteristic
291C2×#391C2211yescharacteristic
292C2×#391C2211yescharacteristic
293C2×#389C2211yescharacteristic
294C2×#387C2212yes—
295C2×#387C2212yes—
296#2285C2211yescharacteristic
297#2285C2212yes—
298#2274C2211yescharacteristic
299C2×C4×C4⋊C4C2212yes—
300C2×C4×C4⋊C4C2211yescharacteristic
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C23×Q8C2311yescharacteristic
304C23×Q8C2311yescharacteristic
305#557—216no—
306#557—216no—
307#556—216no—
308#556—216no—
309#552—232no—
310#552—232no—
311#544—28no—
312#542—216no—
313#542—216no—
314#541—216no—
315#541—216no—
316#541—216no—
317#541—216no—
318#539—232no—
319#537—28no—
320#536—28no—
321#536—28no—
322#536—28no—
323#536D4116yes—
324#533—216no—
325#533—216no—
326#533—216no—
327#533—216no—
328#533—28no—
329C2×C4⋊Q8—28no—
330C2×C4⋊Q8C2312yes—
331C2×C4⋊Q8C2312yes—
332C2×C4⋊Q8C2312yes—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2314yes—
342C2×C4⋊Q8C2312yes—
343#529—216no—
344#529—232no—
345#529—216no—
346C2×#126C2314yes—
347C2×#126C2314yes—
348C2×#126C2314yes—
349C2×#126C2314yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#126C2314yes—
353C2×#126C2314yes—
354C2×#125C2312yes—
355C2×#125C2314yes—
356C2×#125C2312yes—
357C2×#125C2314yes—
358C2×#125C2314yes—
359C2×#125C2311yescharacteristic
360C2×#125C2311yescharacteristic
361C2×#125C2314yes—
362C2×#125C2314yes—
363C2×#125C2314yes—
364C2×#125C2314yes—
365C2×#125C2314yes—
366C2×#125C2314yes—
367C2×#124C2312yes—
368C2×#124C2314yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×#123C2314yes—
375C2×#123C2314yes—
376C2×#123C2314yes—
377C2×#123C2314yes—
378C2×#123C2314yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2314yes—
387C2×C22⋊Q8C2314yes—
388C2×C22⋊Q8C2312yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2314yes—
401#519—28no—
402#519—28no—
403#519—28no—
404C4×#41—28no—
405C4×#41—28no—
406C4×#41—28no—
407C4×#41—28no—
408C2×C4×Q8—28no—
409C2×C4×Q8C2312yes—
410C2×C4×Q8C2312yes—
411C2×C4×Q8C2312yes—
412C2×C4×Q8C2312yes—
413C2×C4×Q8C2312yes—
414C2×C4×Q8C2312yes—
415C2×C4×Q8C2311yescharacteristic
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2312yes—
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2311yescharacteristic
425C2×C4×Q8C2311yescharacteristic
426C2×C4×Q8C2311yescharacteristic
427C2×C4×Q8C2311yescharacteristic
428C2×C4×Q8C2311yescharacteristic
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2314yes—
432C2×C4×Q8C2311yescharacteristic
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2314yes—
437C2×C4×Q8C2314yes—
438C2×C4×D4C2312yes—
439C2×C4×D4C2311yescharacteristic
440C2×C4×D4C2312yes—
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2312yes—
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2311yescharacteristic
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2312yes—
447C2×C4×D4C2312yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2311yescharacteristic
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2314yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2311yescharacteristic
455C2×#117C2311yescharacteristic
456C2×#117C2311yescharacteristic
457C2×#117C2311yescharacteristic
458C2×#117C2311yescharacteristic
459C2×#117C2314yes—
460C2×#117C2314yes—
461C2×#117C2312yes—
462C2×#117C2312yes—
463C2×#117C2314yes—
464C2×#117C2314yes—
465C2×#117C2314yes—
466C2×#117C2314yes—
467C2×#117C2314yes—
468C2×#117C2312yes—
469C2×#117C2312yes—
470C2×#117C2311yescharacteristic
471C2×#117C2311yescharacteristic
472C22×C4⋊C4C2311yescharacteristic
473C22×C4⋊C4C2312yes—
474C22×C4⋊C4C2311yescharacteristic
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2311yescharacteristic
477C22×C4⋊C4C2312yes—
478C22×C4⋊C4C2312yes—
479C22×C4⋊C4C2311yescharacteristic
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2312yes—
482C22×C42C2312yes—
483C22×C42C2312yes—
484C22×C42C2312yes—
485C22×C42C2311yescharacteristic
486C22×C42C2312yes—
487C22×C42C2312yes—
488C22×C42C2311yescharacteristic
489C22×C42C2311yescharacteristic
490#400C2314yes—
491#400C2314yes—
492#400C2314yes—
493#400C2314yes—
494#400C2314yes—
495#400C2314yes—
496#400C2314yes—
497#400C2314yes—
498#400C2314yes—
499#400C2312yes—
500#400C2312yes—
501#400C2314yes—
502#400C2314yes—
503#399C2314yes—
504#399C2312yes—
505#399C2312yes—
506#399C2314yes—
507#399C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2314yes—
514#398C2314yes—
515#398C2314yes—
516#398C2314yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#398C2314yes—
521#398C2314yes—
522#398C2314yes—
523#398C2312yes—
524#398C2312yes—
525#398C2312yes—
526#398C2312yes—
527#398C2314yes—
528#398C2314yes—
529#398C2314yes—
530#398C2314yes—
531#398C2314yes—
532#398C2314yes—
533#398C2314yes—
534#398C2314yes—
535#397C2314yes—
536#397C2314yes—
537#397C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#397C2314yes—
542#397C2314yes—
543#397C2314yes—
544#397C2314yes—
545#397C2314yes—
546#396C2314yes—
547#396C2314yes—
548#396C2312yes—
549#396C2312yes—
550#396C2312yes—
551#396C2312yes—
552#396C2314yes—
553#396C2314yes—
554#396C2314yes—
555#396C2314yes—
556#395C2314yes—
557#395C2314yes—
558#395C2314yes—
559#395C2314yes—
560#395C2314yes—
561#395C2314yes—
562#395C2312yes—
563#395C2312yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#394C2314yes—
568#393C2312yes—
569#393C2312yes—
570#391C2312yes—
571#391C2312yes—
572#391C2312yes—
573#391C2312yes—
574#391C2312yes—
575#391C2312yes—
576#391C2312yes—
577#391C2312yes—
578#391C2314yes—
579#391C2314yes—
580#391C2314yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2311yescharacteristic
586#391C2311yescharacteristic
587#391C2312yes—
588#391C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2311yescharacteristic
593#391C2311yescharacteristic
594#391C2314yes—
595#391C2312yes—
596#391C2312yes—
597#391C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2311yescharacteristic
601#390C2311yescharacteristic
602#390C2311yescharacteristic
603#390C2311yescharacteristic
604#389C2311yescharacteristic
605#389C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2314yes—
609#389C2314yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2312yes—
616#389C2314yes—
617#389C2314yes—
618#389C2314yes—
619#389C2314yes—
620#389C2311yescharacteristic
621#389C2311yescharacteristic
622#389C2311yescharacteristic
623#389C2311yescharacteristic
624#389C2314yes—
625#389C2314yes—
626#389C2314yes—
627#389C2314yes—
628#389C2311yescharacteristic
629#389C2311yescharacteristic
630#389C2314yes—
631#389C2314yes—
632#389C2312yes—
633#389C2314yes—
634#389C2314yes—
635#389C2312yes—
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2314yes—
639#389C2314yes—
640#389C2314yes—
641#389C2311yescharacteristic
642#389C2312yes—
643#389C2311yescharacteristic
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2311yescharacteristic
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2311yescharacteristic
653#389C2314yes—
654#389C2314yes—
655#389C2311yescharacteristic
656#389C2314yes—
657#389C2314yes—
658#389C2314yes—
659#389C2312yes—
660#389C2314yes—
661#389C2314yes—
662#389C2312yes—
663#389C2312yes—
664#389C2311yescharacteristic
665#389C2311yescharacteristic
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2312yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#387C2314yes—
712#387C2314yes—
713#387C2314yes—
714#387C2314yes—
715#387C2314yes—
716#387C2314yes—
717#387C2312yes—
718#387C2312yes—
719#387C2312yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#385C2312yes—
730#385C2312yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2312yes—
737#385C2312yes—
738#385C2312yes—
739#385C2312yes—
740#385C2312yes—
741#385C2312yes—
742#385C2312yes—
743#385C2312yes—
744#385C2312yes—
745#385C2312yes—
746#385C2312yes—
747#385C2312yes—
748#385C2312yes—
749#385C2312yes—
750#385C2314yes—
751#385C2314yes—
752#385C2314yes—
753#385C2314yes—
754#385C2312yes—
755#385C2312yes—
756#385C2312yes—
757#385C2312yes—
758#384C2311yescharacteristic
759#384C2312yes—
760#384C2311yescharacteristic
761#384C2314yes—
762#384C2312yes—
763#384C2314yes—
764#384C2314yes—
765#384C2312yes—
766#384C2312yes—
767#382C2311yescharacteristic
768#382C2312yes—
769#382C2311yescharacteristic
770#382C2312yes—
771#382C2314yes—
772#382C2314yes—
773#382C2312yes—
774#382C2312yes—
775#381C2314yes—
776#381C2314yes—
777#381C2314yes—
778#381C2314yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2314yes—
784#380C2314yes—
785#380C2314yes—
786#380C2312yes—
787#380C2312yes—
788#380C2312yes—
789#380C2312yes—
790#380C2312yes—
791#380C2312yes—
792#380C2312yes—
793#380C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2314yes—
801C4×C4⋊C4C2314yes—
802C4×C4⋊C4C2312yes—
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2314yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2312yes—
815C4×C4⋊C4C2314yes—
816C4×C4⋊C4C2314yes—
817C4×C4⋊C4C2314yes—
818C4×C4⋊C4C2314yes—
819C4×C4⋊C4C2314yes—
820C4×C4⋊C4C2311yescharacteristic
821C4×C4⋊C4C2311yescharacteristic
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2312yes—
825C4×C4⋊C4C2312yes—
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2314yes—
830C4×C22⋊C4C2314yes—
831C4×C22⋊C4C2314yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2312yes—
837C2×#95C2312yes—
838C2×#95C2311yescharacteristic
839C2×#95C2312yes—
840C2×#95C2311yescharacteristic
841C2×#95C2312yes—
842C2×#95C2312yes—
843C2×#95C2312yes—
844C2×#95C2312yes—
845C2×#95C2312yes—
846C2×#95C2312yes—
847C2×#95C2312yes—
848C2×#41—24no—
849C2×#41—24no—
850C2×#41—24no—
851C2×#41—24no—
852C2×#41—24no—
853C2×#41C2×D418yes—
854C22×Q8—24no—
855C22×Q8—24no—
856C22×Q8—24no—
857C22×Q8—24no—
858C22×Q8—24no—
859C22×Q8C2×D418yes—
860C22×Q8C2412yes—
861C22×Q8C2412yes—
862C22×Q8C2411yescharacteristic
863C22×Q8C2412yes—
864C22×Q8C2412yes—
865C22×Q8C2412yes—
866C22×Q8C2412yes—
867C22×Q8C2411yescharacteristic
868C22×Q8C2414yes—
869C22×D4C2412yes—
870C22×D4C2411yescharacteristic
871C22×D4C2412yes—
872C22×D4C2411yescharacteristic
873C22×D4C2414yes—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2412yes—
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2412yes—
883C23×C4C2411yescharacteristic
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2411yescharacteristic
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2412yes—
891C23×C4C2412yes—
892C23×C4C2411yescharacteristic
893C23×C4C2412yes—
894C23×C4C2411yescharacteristic
895C4⋊Q8—28no—
896C4⋊Q8—28no—
897C4⋊Q8—28no—
898C4⋊Q8—28no—
899C4⋊Q8—28no—
900C4⋊Q8—28no—
901C4⋊Q8—24no—
902C4⋊Q8—24no—
903C4⋊Q8—28no—
904C4⋊Q8—28no—
905C4⋊Q8—28no—
906C4⋊Q8—48no—
907C4⋊Q8C2×D4116yes—
908#126—216no—
909#126—216no—
910#126—216no—
911#126—216no—
912#126—216no—
913#126—216no—
914#126—216no—
915#126—216no—
916#125—216no—
917#125—28no—
918#125—216no—
919#125—216no—
920#125—24no—
921#125—24no—
922#125—216no—
923#125—216no—
924#125—216no—
925#125—216no—
926#125—216no—
927#125—216no—
928#125—28no—
929#124—28no—
930#124—28no—
931#124—216no—
932#124—28no—
933#124C2×D4116yes—
934#123—216no—
935#123—216no—
936#123—216no—
937#123—216no—
938#123—216no—
939#123—48no—
940#123C2×D4132yes—
941C22⋊Q8—28no—
942C22⋊Q8—28no—
943C22⋊Q8—28no—
944C22⋊Q8—28no—
945C22⋊Q8—28no—
946C22⋊Q8—28no—
947C22⋊Q8—216no—
948C22⋊Q8—28no—
949C22⋊Q8—28no—
950C22⋊Q8—28no—
951C22⋊Q8—216no—
952C22⋊Q8—216no—
953C22⋊Q8—28no—
954C22⋊Q8—28no—
955C22⋊Q8—216no—
956C22⋊Q8—216no—
957C22⋊Q8—44no—
958C22⋊Q8C2×D4116yes—
959C22⋊Q8C2×D4116yes—
960#121—216no—
961#121—28no—
962#121—28no—
963C4×Q8—28no—
964C4×Q8—28no—
965C4×Q8—28no—
966C4×Q8—28no—
967C4×Q8—24no—
968C4×Q8—24no—
969C4×Q8—24no—
970C4×Q8—24no—
971C4×Q8—28no—
972C4×Q8—28no—
973C4×Q8—28no—
974C4×Q8—28no—
975C4×Q8—24no—
976C4×Q8—24no—
977C4×Q8—28no—
978C4×Q8—28no—
979C4×Q8—216no—
980C4×Q8—216no—
981C4×Q8—216no—
982C4×Q8—24no—
983C4×Q8—24no—
984C4×Q8—28no—
985C4×Q8—28no—
986C4×Q8—28no—
987C4×Q8—28no—
988C4×Q8—28no—
989C4×Q8—28no—
990C4×Q8—28no—
991C4×Q8—28no—
992C4×D4—24no—
993C4×D4—28no—
994C4×D4—28no—
995C4×D4—24no—
996C4×D4—28no—
997C4×D4—28no—
998C4×D4—24no—
999C4×D4—24no—
1000C4×D4—24no—
1001C4×D4—24no—
1002C4×D4—24no—
1003C4×D4—24no—
1004C4×D4—28no—
1005C4×D4—28no—
1006C4×D4—216no—
1007C4×D4—28no—
1008C4×D4—28no—
1009#117—24no—
1010#117—24no—
1011#117—28no—
1012#117—28no—
1013#117—24no—
1014#117—216no—
1015#117—24no—
1016#117—216no—
1017#117—216no—
1018#117—216no—
1019#117—216no—
1020#117—216no—
1021#117—216no—
1022#117—28no—
1023#117—28no—
1024#117C2×D418yes—
1025#117#4118yes—
1026C2×C4⋊C4—24no—
1027C2×C4⋊C4—28no—
1028C2×C4⋊C4—28no—
1029C2×C4⋊C4—28no—
1030C2×C4⋊C4—24no—
1031C2×C4⋊C4—28no—
1032C2×C4⋊C4—24no—
1033C2×C4⋊C4—42no—
1034C2×C4⋊C4—44no—
1035C2×C4⋊C4—44no—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2411yescharacteristic
1054C2×C4⋊C4C2411yescharacteristic
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2411yescharacteristic
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2411yescharacteristic
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2414yes—
1081C2×C4⋊C4C2414yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2411yescharacteristic
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2411yescharacteristic
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C42—24no—
1163C2×C42—28no—
1164C2×C42—28no—
1165C2×C42—24no—
1166C2×C42—28no—
1167C2×C42—24no—
1168C2×C42—28no—
1169C2×C42—28no—
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2412yes—
1173C2×C42C2414yes—
1174C2×C42C2412yes—
1175C2×C42C2412yes—
1176C2×C42C2414yes—
1177C2×C42C2414yes—
1178C2×C42C2414yes—
1179C2×C42C2414yes—
1180C2×C42C2412yes—
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2412yes—
1184C2×C42C2412yes—
1185C2×C42C2414yes—
1186C2×C42C2414yes—
1187C2×C42C2412yes—
1188C2×C42C2412yes—
1189C2×C42C2411yescharacteristic
1190C2×C42C2411yescharacteristic
1191C2×C42C2411yescharacteristic
1192C2×C42C2411yescharacteristic
1193C2×C42C2412yes—
1194C2×C42C2412yes—
1195C2×C42C2411yescharacteristic
1196C2×C42C2411yescharacteristic
1197C2×C42C2412yes—
1198C2×C42C2412yes—
1199C2×C42C2414yes—
1200C2×C42C2411yescharacteristic
1201C2×C42C2411yescharacteristic
1202C2×C42C2414yes—
1203C2×C42C2414yes—
1204C2×C42C2412yes—
1205C2×C42C2412yes—
1206#95C2411yescharacteristic
1207#95C2411yescharacteristic
1208#95C2412yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2411yescharacteristic
1214#95C2411yescharacteristic
1215#95C2412yes—
1216#95C2412yes—
1217#95C2411yescharacteristic
1218#95C2412yes—
1219#95C2411yescharacteristic
1220#95C2411yescharacteristic
1221#95C2412yes—
1222#95C2412yes—
1223#95C2411yescharacteristic
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2414yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2412yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2414yes—
1267#95C2414yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2414yes—
1271#95C2414yes—
1272C24C2512yes—
1273C24C2512yes—
1274C24C2511yescharacteristic
1275#41—232no—
1276#41—416no—
1277C2×Q8—232no—
1278C2×Q8—24no—
1279C2×Q8—24no—
1280C2×Q8—24no—
1281C2×Q8—22no—
1282C2×Q8—24no—
1283C2×Q8—28no—
1284C2×Q8—24no—
1285C2×Q8—24no—
1286C2×Q8—22no—
1287C2×Q8—24no—
1288C2×Q8—24no—
1289C2×Q8—22no—
1290C2×Q8—24no—
1291C2×Q8—24no—
1292C2×Q8—22no—
1293C2×Q8—24no—
1294C2×Q8—24no—
1295C2×Q8—24no—
1296C2×Q8—22no—
1297C2×Q8—24no—
1298C2×Q8—42no—
1299C2×Q8—42no—
1300C2×Q8—44no—
1301C2×Q8—44no—
1302C2×Q8—416no—
1303C2×Q8C22×D418yes—
1304C2×Q8C22×D414yes—
1305C2×Q8C22×D418yes—
1306C2×D4—24no—
1307C2×D4—24no—
1308C2×D4—24no—
1309C2×D4—24no—
1310C2×D4—24no—
1311C2×D4—28no—
1312C2×D4—22no—
1313C2×D4—22no—
1314C2×D4—22no—
1315C2×D4—22no—
1316C2×D4—22no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4C22×D418yes—
1320C2×D4C22×D414yes—
1321C22×C4—24no—
1322C22×C4—24no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—24no—
1332C22×C4—22no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—22no—
1336C22×C4—24no—
1337C22×C4—24no—
1338C22×C4—22no—
1339C22×C4—24no—
1340C22×C4—24no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—22no—
1346C22×C4—22no—
1347C22×C4—24no—
1348C22×C4—22no—
1349C22×C4—24no—
1350C22×C4—24no—
1351C22×C4—24no—
1352C22×C4—22no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—42no—
1357C22×C4—41no—
1358C22×C4—42no—
1359C22×C4—41no—
1360C22×C4—42no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—41no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—41no—
1375C22×C4—41no—
1376C22×C4—41no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4C22×D418yes—
1380C22×C4C22×D418yes—
1381C22×C4C22×D414yes—
1382C22×C4C2×#4114yes—
1383C22×C42−1+414yes—
1384C22×C4C2511yescharacteristic
1385C22×C4C2514yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2511yescharacteristic
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2514yes—
1391C22×C4C2512yes—
1392C22×C4C2511yescharacteristic
1393C22×C4C2512yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2511yescharacteristic
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2511yescharacteristic
1399C22×C4C2512yes—
1400C22×C4C2514yes—
1401C22×C4C2512yes—
1402C22×C4C2512yes—
1403C22×C4C2511yescharacteristic
1404C22×C4C2512yes—
1405C22×C4C2514yes—
1406C22×C4C2512yes—
1407C22×C4C2512yes—
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2511yescharacteristic
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C22×C4C2511yescharacteristic
1416C4⋊C4—28no—
1417C4⋊C4—28no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—28no—
1421C4⋊C4—28no—
1422C4⋊C4—28no—
1423C4⋊C4—28no—
1424C4⋊C4—24no—
1425C4⋊C4—24no—
1426C4⋊C4—22no—
1427C4⋊C4—22no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—28no—
1439C4⋊C4—28no—
1440C4⋊C4—28no—
1441C4⋊C4—28no—
1442C4⋊C4—28no—
1443C4⋊C4—28no—
1444C4⋊C4—28no—
1445C4⋊C4—28no—
1446C4⋊C4—28no—
1447C4⋊C4—28no—
1448C4⋊C4—28no—
1449C4⋊C4—28no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—28no—
1457C4⋊C4—28no—
1458C4⋊C4—22no—
1459C4⋊C4—22no—
1460C4⋊C4—28no—
1461C4⋊C4—28no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—22no—
1466C4⋊C4—22no—
1467C4⋊C4—22no—
1468C4⋊C4—24no—
1469C4⋊C4—24no—
1470C4⋊C4—24no—
1471C4⋊C4—24no—
1472C4⋊C4—22no—
1473C4⋊C4—22no—
1474C4⋊C4—28no—
1475C4⋊C4—24no—
1476C4⋊C4—42no—
1477C4⋊C4—42no—
1478C4⋊C4—41no—
1479C4⋊C4—44no—
1480C4⋊C4—41no—
1481C4⋊C4—42no—
1482C4⋊C4—42no—
1483C4⋊C4—42no—
1484C4⋊C4—42no—
1485C4⋊C4—44no—
1486C4⋊C4—42no—
1487C4⋊C4—42no—
1488C4⋊C4—44no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—42no—
1492C4⋊C4—42no—
1493C4⋊C4—44no—
1494C4⋊C4—42no—
1495C4⋊C4—42no—
1496C4⋊C4—44no—
1497C4⋊C4—44no—
1498C4⋊C4—44no—
1499C4⋊C4C22×D4116yes—
1500C4⋊C4C22×D414yes—
1501C4⋊C4C22×D414yes—
1502C4⋊C4C22×D4116yes—
1503C4⋊C4C2×#4114yes—
1504C4⋊C4C2×#4114yes—
1505C4⋊C42−1+414yes—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—24no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—28no—
1514C22⋊C4—28no—
1515C22⋊C4—28no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—28no—
1520C22⋊C4—28no—
1521C22⋊C4—28no—
1522C22⋊C4—24no—
1523C22⋊C4—24no—
1524C22⋊C4—28no—
1525C22⋊C4—28no—
1526C22⋊C4—24no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4C22×D418yes—
1539C22⋊C4C22×D4116yes—
1540C22⋊C4C22×D4116yes—
1541C22⋊C4C2×#4118yes—
1542C42—22no—
1543C42—22no—
1544C42—22no—
1545C42—24no—
1546C42—28no—
1547C42—24no—
1548C42—22no—
1549C42—22no—
1550C42—24no—
1551C42—24no—
1552C42—22no—
1553C42—24no—
1554C42—24no—
1555C42—22no—
1556C42—22no—
1557C42—24no—
1558C42—24no—
1559C42—28no—
1560C42—28no—
1561C42—28no—
1562C42—28no—
1563C42—28no—
1564C42—24no—
1565C42—22no—
1566C42—22no—
1567C42—24no—
1568C42—22no—
1569C42—24no—
1570C42—22no—
1571C42—28no—
1572C42—28no—
1573C42—24no—
1574C42—44no—
1575C42—44no—
1576C42C22×D418yes—
1577C42C2×#4118yes—
1578C23—21no—
1579C23—21no—
1580C23—21no—
1581C23—21no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—22no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—22no—
1591C23—22no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23C23×D414yes—
1596C23C23×D412yes—
1597C23C22×#4112yes—
1598C23C2×2−1+412yes—
1599C23C2611yescharacteristic
1600Q8—216no—
1601Q8—216no—
1602Q8—28no—
1603Q8—48no—
1604Q8—48no—
1605Q8—48no—
1606Q8—48no—
1607Q8—44no—
1608Q8—88no—
1609D4—216no—
1610D4—28no—
1611D4—48no—
1612D4—44no—
1613D4—88no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—21no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—21no—
1634C2×C4—216no—
1635C2×C4—216no—
1636C2×C4—21no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—24no—
1648C2×C4—22no—
1649C2×C4—24no—
1650C2×C4—21no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—21no—
1654C2×C4—21no—
1655C2×C4—24no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—21no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—24no—
1665C2×C4—22no—
1666C2×C4—24no—
1667C2×C4—24no—
1668C2×C4—22no—
1669C2×C4—21no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—24no—
1675C2×C4—22no—
1676C2×C4—21no—
1677C2×C4—24no—
1678C2×C4—22no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—24no—
1695C2×C4—22no—
1696C2×C4—48no—
1697C2×C4—48no—
1698C2×C4—44no—
1699C2×C4—48no—
1700C2×C4—44no—
1701C2×C4—48no—
1702C2×C4—44no—
1703C2×C4—48no—
1704C2×C4—44no—
1705C2×C4—48no—
1706C2×C4—48no—
1707C2×C4—84no—
1708C2×C4—84no—
1709C2×C4—82no—
1710C2×C4—84no—
1711C2×C4—84no—
1712C2×C4—82no—
1713C2×C4—84no—
1714C2×C4#547116yes—
1715C2×C4C23×D418yes—
1716C2×C4C23×D414yes—
1717C2×C4C23×D414yes—
1718C2×C4C23×D414yes—
1719C2×C4C23×D412yes—
1720C2×C4C23×D412yes—
1721C2×C4C22×#4114yes—
1722C2×C4C22×#4114yes—
1723C2×C4C22×#4112yes—
1724C2×C4C22×#4112yes—
1725C2×C4C2×2−1+412yes—
1726C2×C4C2×2−1+412yes—
1727C2×C4C2×2−1+412yes—
1728C2×C4C2×2−1+412yes—
1729C2×C4C2×2−1+412yes—
1730C2×C4#58512yes—
1731C22—22no—
1732C22—22no—
1733C22—22no—
1734C22—22no—
1735C22—22no—
1736C22—22no—
1737C22—24no—
1738C22—24no—
1739C22—24no—
1740C22—42no—
1741C22—42no—
1742C22—42no—
1743C22—42no—
1744C22—42no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—42no—
1749C22—42no—
1750C22—42no—
1751C22C2×#54714yes—
1752C22C24×D411yescharacteristic
1753C22C23×#4111yescharacteristic
1754C22C22×2−1+411yescharacteristic
1755C22C22×2−1+411yescharacteristic
1756C22C2×#58511yescharacteristic
1757C222−1+611yescharacteristic
1758C222−1+611yescharacteristic
1759C4—22no—
1760C4—22no—
1761C4—24no—
1762C4—22no—
1763C4—24no—
1764C4—22no—
1765C4—24no—
1766C4—24no—
1767C4—24no—
1768C4—28no—
1769C4—41no—
1770C4—42no—
1771C4—42no—
1772C4—41no—
1773C4—42no—
1774C4—42no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—44no—
1779C4—42no—
1780C4—42no—
1781C4—42no—
1782C4—41no—
1783C4—42no—
1784C4—41no—
1785C4—41no—
1786C4—44no—
1787C4—42no—
1788C4—44no—
1789C4C2×#54714yes—
1790C4C2×#54714yes—
1791C2—24no—
1792C2—44no—
1793C2—82no—
1794C2C22×#54711yescharacteristic
1795C2#6280511yescharacteristic
1796C2#6286111yescharacteristic
1797C2#6293211yescharacteristic
1798C2#6294711yescharacteristic
1799C2D4×2−1+411yescharacteristic
1800C2#6300211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radicalC2×#537C22
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×#3509C2semidirect
3. #59109C2semidirect
4. #59106C2semidirect
5. #59073C2semidirect
6. #59071C2semidirect
7. #59069C2semidirect
8. #59067C2semidirect
9. #45324C2semidirect
10. #45324C2semidirect
11. #45227C2semidirect
12. #45077C2semidirect
13. #44475C2semidirect
14. #44042C2semidirect
15. #39353C2semidirect
16. #39347C2semidirect
17. #37799C2semidirect
18. #37795C2semidirect
19. #37793C2semidirect
20. #37793C2semidirect
21. #36140C2semidirect
22. #36133C2semidirect
23. #35673C2semidirect
24. #35668C2semidirect
25. #35667C2semidirect
26. #35566C2semidirect
28. #35307C2semidirect
30. #34745C2semidirect
31. C2×#2446C2semidirect
32. #34268C2semidirect
33. #34268C2semidirect
34. #34249C2semidirect
35. C4⋊C4×#41C2semidirect

Maximal subgroups

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

subgroupindex
C2×#35092
C2×#34612
#591092
#591062
#590732
#590712
#590692
#590672
#453242
#452272
#450772
#444752
#440422
#393532
#393472
#377992
#377952
#377932
#361402
#361332
#356732
#356682
#356672
#355662
#353082
#353072
#352552
#347452
C2×#24462
#342682
#342492
C4⋊C4×#412