Finite Group Databasebeta

← #7710611

Subgroups — #7710611

Order 512.

6862 conjugacy classes of subgroups.

The subgroup lattice has 1716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3564C211yesmaximal, characteristic, complemented
2C22×#529C211yesmaximal, characteristic, complemented
3#59178C214yesmaximal, complemented
4#59171C214yesmaximal, complemented
5#46131C214yesmaximal, complemented
6#46130C214yesmaximal, complemented
7#39116C212yesmaximal, complemented
8#38912C212yesmaximal, complemented
9#38045C212yesmaximal, complemented
10#38044C212yesmaximal, complemented
11#37819C214yesmaximal, complemented
12#37816C214yesmaximal, complemented
13#37807C214yesmaximal, complemented
14#37806C214yesmaximal, complemented
15#37548C211yesmaximal, characteristic, complemented
16#37538C211yesmaximal, characteristic, complemented
17#36719C211yesmaximal, characteristic, complemented
18#36718C211yesmaximal, characteristic, complemented
19#36708C211yesmaximal, characteristic, complemented
20#36706C211yesmaximal, characteristic
21#36625C211yesmaximal, characteristic, complemented
22#36621C211yesmaximal, characteristic, complemented
23#36547C212yesmaximal, complemented
24#36162C212yesmaximal, complemented
25#36159C212yesmaximal, complemented
26#36159C212yesmaximal, complemented
27#35151C211yesmaximal, characteristic, complemented
28#35094C211yesmaximal, characteristic, complemented
29#35093C211yesmaximal, characteristic, complemented
30#35090C211yesmaximal, characteristic, complemented
31#34381C211yesmaximal, characteristic, complemented
32#3564—216no—
33C2×#563C2212yescomplemented
34C2×#563C2212yescomplemented
35C2×#556C2212yescomplemented
36C2×#554C2212yes—
37C2×#552C2212yes—
38C2×#552C2212yescomplemented
39C2×#551C2212yes—
40C2×#551C2212yes—
41C2×#544C2211yescharacteristic
42C2×#543C2211yescharacteristic
43C2×#542C2212yescomplemented
44C2×#541C2212yescomplemented
45C2×#541C2212yescomplemented
46C2×#539C2211yescharacteristic
47C2×#539C2212yescomplemented
48C2×#538C2211yescharacteristic
49C2×#533C2211yescharacteristic
50C2×#529—216no—
51C2×#529C2211yescharacteristic
52C2×#529C2214yes—
53C2×#529C2214yes—
54C2×#529C2214yes—
55C2×#529C2214yes—
56C22×#126C2211yescharacteristic
57C22×#126C2211yescharacteristic
58C22×#125C2211yescharacteristic
59C22×#124C2211yescharacteristic
60C22×#123C2211yescharacteristic
61C22×#123C2211yescharacteristic
62C22×C22⋊Q8C2211yescharacteristic
63C22×#121C2211yescharacteristic
64C22×C4×Q8C2211yescharacteristic
65C22×C4×D4C2211yescharacteristic
66C22×C4×D4C2211yescharacteristic
67C22×C4×D4C2211yescharacteristic
68C22×#117C2211yescharacteristic
69C22×#117C2211yescharacteristic
70C23×C42C2211yescharacteristic
71#2857C2212yescomplemented
72#2857C2212yescomplemented
73#2855C2211yescharacteristic
74#2855C2211yescharacteristic
75#2855C2211yescharacteristic
76#2855C2212yes—
77#2855C2212yes—
78#2855C2212yes—
79#2854C2211yescharacteristic
80#2853C2212yes—
81#2852C2214yescomplemented
82#2851C2212yescomplemented
83#2851C2214yescomplemented
84#2850C2212yescomplemented
85#2849C2212yes—
86#2849C2212yes—
87#2849C2212yes—
88#2848C2212yes—
89#2848C2211yescharacteristic
90#2848C2211yescharacteristic
91#2848C2211yescharacteristic
92#2847C2211yescharacteristic
93#2823C2214yescomplemented
94#2821C2212yescomplemented
95#2821C2212yescomplemented
96#2726C2214yescomplemented
97#2725C2214yescomplemented
98#2720C2214yescomplemented
99#2719C2214yescomplemented
100#2715C2214yescomplemented
101#2710C2214yescomplemented
102#2707C2214yescomplemented
103#2706C2214yescomplemented
104#2704C2214yescomplemented
105#2702C2214yescomplemented
106#2696C2214yescomplemented
107#2695C2214yescomplemented
108#2691C2214yes—
109#2690C2214yescomplemented
110#2690C2214yescomplemented
111#2683C2214yescomplemented
112#2681C2214yes—
113#2681C2214yes—
114#2681C2214yescomplemented
115#2681C2214yescomplemented
116#2680C2214yescomplemented
117#2677C2214yescomplemented
118#2677C2214yescomplemented
119#2676C2214yes—
120#2675C2214yes—
121#2674C2214yescomplemented
122#2674C2214yescomplemented
123#2672C2214yes—
124#2672C2214yes—
125#2672C2214yescomplemented
126#2672C2214yescomplemented
127#2671C2214yes—
128#2664C2212yescomplemented
129#2664C2214yescomplemented
130#2662C2212yescomplemented
131#2637C2212yescomplemented
132#2637C2214yescomplemented
133#2636C2212yescomplemented
134#2627C2211yescharacteristic
135#2627C2211yescharacteristic
136#2627C2212yes—
137#2627C2211yescharacteristic
138#2626C2211yescharacteristic
139#2626C2211yescharacteristic
140#2626C2211yescharacteristic
141#2626C2212yes—
142#2623C2212yes—
143#2622C2212yes—
144#2618C2211yescharacteristic
145#2617C2211yescharacteristic
146#2604C2212yescomplemented
147#2604C2212yescomplemented
148#2601C2214yescomplemented
149#2583C2212yes—
150#2583C2212yes—
151#2579C2212yes—
152#2579C2212yes—
153#2561C2212yes—
154#2561C2212yes—
155#2558C2214yescomplemented
156#2553C2214yescomplemented
157#2534C2212yes—
158#2534C2212yes—
159#2521C2214yescomplemented
160#2519C2214yescomplemented
161#2506C2214yescomplemented
162#2491C2214yescomplemented
163#2484C2212yes—
164#2484C2212yes—
165#2482C2212yes—
166#2482C2212yes—
167#2479C2214yescomplemented
168#2478C2214yescomplemented
169#2477C2214yescomplemented
170#2476C2214yescomplemented
171#2475C2214yescomplemented
172#2475C2214yescomplemented
173#2474C2214yescomplemented
174#2474C2214yescomplemented
175#2471C2214yescomplemented
176#2470C2214yescomplemented
177#2470C2214yescomplemented
178#2468C2214yescomplemented
179#2468C2214yescomplemented
180#2467C2214yescomplemented
181#2467C2214yescomplemented
182#2466C2214yescomplemented
183#2466C2214yescomplemented
184#2465C2214yescomplemented
185#2465C2214yescomplemented
186#2462C2214yescomplemented
187#2462C2214yescomplemented
188#2462C2214yescomplemented
189#2461C2214yescomplemented
190#2461C2214yescomplemented
191#2460C2214yescomplemented
192#2460C2214yescomplemented
193#2459C2214yescomplemented
194#2459C2214yescomplemented
195#2458C2214yescomplemented
196#2457C2214yescomplemented
197#2457C2214yescomplemented
198#2455C2214yescomplemented
199#2454C2214yescomplemented
200#2451C2214yescomplemented
201#2450C2214yescomplemented
202#2450C2214yescomplemented
203#2443C2214yescomplemented
204#2441C2214yescomplemented
205#2441C2214yescomplemented
206#2439C2214yescomplemented
207#2439C2214yescomplemented
208#2438C2214yescomplemented
209#2438C2214yescomplemented
210#2438C2214yescomplemented
211#2438C2214yescomplemented
212#2435C2212yes—
213#2434C2212yes—
214#2429C2214yescomplemented
215#2427C2214yescomplemented
216#2425C2214yescomplemented
217#2425C2214yescomplemented
218#2422C2214yescomplemented
219#2413C2212yes—
220#2413C2212yes—
221#2411C2212yes—
222#2411C2212yes—
223#2410C2212yes—
224#2410C2212yes—
225#2409C2212yes—
226#2408C2212yes—
227#2405C2212yes—
228#2405C2212yes—
229#2383C2214yescomplemented
230#2373C2214yescomplemented
231#2367C2214yescomplemented
232#2365C2214yescomplemented
233#2364C2214yescomplemented
234#2364C2214yescomplemented
235#2363C2214yescomplemented
236#2360C2214yescomplemented
237#2359C2214yescomplemented
238#2359C2214yescomplemented
239#2345C2212yes—
240#2344C2212yes—
241#2342C2212yes—
242#2342C2212yes—
243#2334C2214yescomplemented
244#2334C2214yescomplemented
245#2322C2212yes—
246#2321C2212yes—
247#2317C2212yes—
248#2316C2211yescharacteristic
249#2315C2212yes—
250#2315C2211yescharacteristic
251#2313C2211yescharacteristic
252#2312C2211yescharacteristic
253C4×C22⋊Q8C2212yescomplemented
254C4×C22⋊Q8C2212yescomplemented
255C4×C22⋊Q8C2212yescomplemented
256C4×C22⋊Q8C2214yescomplemented
257C4×#123C2212yes—
258C4×#123C2212yes—
259C4×#123C2212yes—
260C4×#121C2212yescomplemented
261C4×#120C2212yes—
262#2296C2212yes—
263#2290C2214yescomplemented
264#2285C2211yescharacteristic
265#2283C2211yescharacteristic
266#2280C2212yes—
267#2280C2212yes—
268C2×#381C2212yes—
269C23×Q8C2311yescharacteristic
270C23×D4C2311yescharacteristic
271C23×D4C2311yescharacteristic
272C23×D4C2311yescharacteristic
273C24×C4C2311yescharacteristic
274C24×C4C2311yescharacteristic
275C24×C4C2311yescharacteristic
276C24×C4C2311yescharacteristic
277C24×C4C2311yescharacteristic
278#563—216no—
279#563—216no—
280#556—216no—
281#554—216no—
282#552—216no—
283#552—216no—
284#551—216no—
285#551—216no—
286#544—28no—
287#543—28no—
288#542—216no—
289#541—216no—
290#541—216no—
291#539—216no—
292#539—28no—
293#538—28no—
294#533—28no—
295C2×C4⋊Q8C2311yescharacteristic
296C2×C4⋊Q8C2311yescharacteristic
297C2×C4⋊Q8C2312yes—
298C2×C4⋊Q8C2312yes—
299C2×C4⋊Q8C2312yes—
300C2×C4⋊Q8C2314yes—
301#529—232no—
302#529—232no—
303#529—232no—
304#529—232no—
305#529—28no—
306C2×#126—28no—
307C2×#126D4116yescomplemented
308C2×#126C2312yes—
309C2×#126C2312yes—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#126C2312yes—
318C2×#126C2312yes—
319C2×#126C2312yes—
320C2×#126C2312yes—
321C2×#126C2312yes—
322C2×#126C2312yes—
323C2×#126C2312yes—
324C2×#126C2312yes—
325C2×#125—28no—
326C2×#125C2311yescharacteristic
327C2×#125C2312yes—
328C2×#125C2314yes—
329C2×#125C2314yes—
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#125C2312yes—
333C2×#125C2312yes—
334C2×#125C2312yes—
335C2×#125C2312yes—
336C2×#125C2312yes—
337C2×#125C2312yes—
338C2×#124—28no—
339C2×#124C2311yescharacteristic
340C2×#124C2314yes—
341C2×#124C2314yes—
342C2×#124C2312yes—
343C2×#124C2312yes—
344C2×#124C2312yes—
345C2×#124C2314yes—
346C2×#123—28no—
347C2×#123—28no—
348C2×#123C2312yes—
349C2×#123C2312yes—
350C2×#123C2312yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×#123C2314yes—
355C2×#123C2312yes—
356C2×#123C2312yes—
357C2×#123C2312yes—
358C2×#123C2312yes—
359C2×#123C2312yes—
360C2×#123C2312yes—
361C2×#123C2312yes—
362C2×#123C2314yes—
363C2×#123C2314yes—
364C2×C22⋊Q8—28no—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2311yescharacteristic
369C2×C22⋊Q8C2311yescharacteristic
370C2×C22⋊Q8C2311yescharacteristic
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2314yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2312yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2314yes—
386C2×C22⋊Q8C2312yes—
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2314yes—
389C2×#121—28no—
390C2×#121C2311yescharacteristic
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#121C2312yes—
394C2×#121C2312yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2314yes—
398C2×#120C2312yes—
399C2×#120C2312yes—
400C2×#120C2312yes—
401C2×C4×Q8—28no—
402C2×C4×Q8C2311yescharacteristic
403C2×C4×Q8C2311yescharacteristic
404C2×C4×Q8C2314yes—
405C2×C4×Q8C2312yes—
406C2×C4×Q8C2312yes—
407C2×C4×Q8C2311yescharacteristic
408C2×C4×Q8C2312yes—
409C2×C4×Q8C2314yes—
410C2×C4×D4—28no—
411C2×C4×D4—28no—
412C2×C4×D4—28no—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2314yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2314yes—
425C2×C4×D4C2314yes—
426C2×#117—28no—
427C2×#117—28no—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2312yes—
433C2×#117C2314yes—
434C2×#117C2314yes—
435C2×#117C2314yes—
436C2×#117C2314yes—
437C2×#117C2312yes—
438C2×#117C2312yes—
439C2×#117C2312yes—
440C22×C4⋊C4C2311yescharacteristic
441C22×C4⋊C4C2311yescharacteristic
442C22×C4⋊C4C2311yescharacteristic
443C22×C4⋊C4C2311yescharacteristic
444C22×C4⋊C4C2312yes—
445C22×C4⋊C4C2311yescharacteristic
446C22×C4⋊C4C2311yescharacteristic
447C22×C4⋊C4C2311yescharacteristic
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2311yescharacteristic
450C22×C4⋊C4C2311yescharacteristic
451C22×C22⋊C4C2311yescharacteristic
452C22×C22⋊C4C2311yescharacteristic
453C22×C22⋊C4C2311yescharacteristic
454C22×C22⋊C4C2312yes—
455C22×C22⋊C4C2311yescharacteristic
456C22×C22⋊C4C2311yescharacteristic
457C22×C22⋊C4C2311yescharacteristic
458C22×C22⋊C4C2311yescharacteristic
459C22×C22⋊C4C2312yes—
460C22×C22⋊C4C2311yescharacteristic
461C22×C22⋊C4C2311yescharacteristic
462C22×C22⋊C4C2311yescharacteristic
463C22×C42—28no—
464C22×C42C2312yes—
465C22×C42C2312yes—
466C22×C42C2312yes—
467C22×C42C2311yescharacteristic
468C22×C42C2311yescharacteristic
469C22×C42C2311yescharacteristic
470C22×C42C2311yescharacteristic
471C22×C42C2311yescharacteristic
472C22×C42C2312yes—
473C22×C42C2311yescharacteristic
474#400C2312yes—
475#400C2312yes—
476#400C2314yes—
477#400C2314yes—
478#400C2312yes—
479#400C2314yes—
480#400C2314yes—
481#399C2312yes—
482#399C2312yes—
483#399C2314yes—
484#399C2314yes—
485#399C2312yes—
486#399C2314yes—
487#399C2314yes—
488#398C2314yes—
489#398C2314yes—
490#398C2314yes—
491#398C2314yes—
492#398C2314yes—
493#398C2314yes—
494#398C2314yes—
495#398C2312yes—
496#398C2314yes—
497#398C2314yes—
498#398C2314yes—
499#398C2314yes—
500#398C2314yes—
501#398C2314yes—
502#398C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2312yes—
507#397C2314yes—
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#395C2314yes—
526#395C2312yes—
527#395C2312yes—
528#395C2314yes—
529#395C2312yes—
530#395C2314yes—
531#395C2314yes—
532#395C2314yes—
533#395C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2312yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#393C2314yes—
552#393C2314yes—
553#393C2312yes—
554#393C2312yes—
555#393C2312yes—
556#393C2314yes—
557#393C2314yes—
558#392C2312yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2314yes—
566#391C2314yes—
567#391C2314yes—
568#391C2314yes—
569#391C2314yes—
570#390C2314yes—
571#390C2312yes—
572#390C2314yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#389C2314yes—
577#389C2314yes—
578#389C2314yes—
579#389C2314yes—
580#389C2314yes—
581#389C2314yes—
582#389C2314yes—
583#389C2314yes—
584#389C2314yes—
585#389C2314yes—
586#389C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2314yes—
590#389C2314yes—
591#389C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#386C2312yes—
655#386C2314yes—
656#386C2312yes—
657#386C2312yes—
658#386C2312yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#385C2312yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#385C2312yes—
683#385C2312yes—
684#385C2314yes—
685#385C2312yes—
686#385C2314yes—
687#385C2314yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#384C2312yes—
707#384C2314yes—
708#383C2312yes—
709#382C2314yes—
710#382C2312yes—
711#382C2312yes—
712#381C2312yes—
713#381C2312yes—
714#381C2312yes—
715#381C2312yes—
716#381C2312yes—
717#381C2312yes—
718#381C2312yes—
719#381C2312yes—
720#381C2314yes—
721#381C2314yes—
722#380C2311yescharacteristic
723#380C2311yescharacteristic
724#380C2311yescharacteristic
725#380C2311yescharacteristic
726#380C2312yes—
727#380C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yes—
739#380C2314yes—
740#379C2312yes—
741#379C2312yes—
742#379C2312yes—
743#379C2312yes—
744#379C2312yes—
745#379C2312yes—
746#379C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2314yes—
750C4×C4⋊C4C2314yes—
751C4×C4⋊C4C2312yes—
752C4×C4⋊C4C2314yes—
753C4×C4⋊C4C2314yes—
754C4×C4⋊C4C2314yes—
755C4×C4⋊C4C2314yes—
756C4×C4⋊C4C2314yes—
757C4×C22⋊C4C2312yes—
758C4×C22⋊C4C2312yes—
759C4×C22⋊C4C2312yes—
760C4×C22⋊C4C2314yes—
761C4×C22⋊C4C2314yes—
762C4×C22⋊C4C2314yes—
763C4×C22⋊C4C2314yes—
764C4×C22⋊C4C2314yes—
765C4×C22⋊C4C2314yes—
766C4×C22⋊C4C2314yes—
767C4×C22⋊C4C2314yes—
768C4×C22⋊C4C2314yes—
769C4×C22⋊C4C2314yes—
770#376C2312yes—
771C2×#95C2314yes—
772C2×#95C2314yes—
773C25C2411yescharacteristic
774C25C2411yescharacteristic
775C25C2411yescharacteristic
776C22×Q8—24no—
777C22×Q8—44no—
778C22×Q8C2414yes—
779C22×Q8C2411yescharacteristic
780C22×Q8C2412yes—
781C22×Q8C2411yescharacteristic
782C22×Q8C2412yes—
783C22×Q8C2411yescharacteristic
784C22×Q8C2412yes—
785C22×D4—24no—
786C22×D4—24no—
787C22×D4—24no—
788C22×D4—44no—
789C22×D4—44no—
790C22×D4—44no—
791C22×D4C2412yes—
792C22×D4C2414yes—
793C22×D4C2414yes—
794C22×D4C2414yes—
795C22×D4C2412yes—
796C22×D4C2412yes—
797C22×D4C2414yes—
798C22×D4C2411yescharacteristic
799C22×D4C2414yes—
800C23×C4—24no—
801C23×C4—24no—
802C23×C4—24no—
803C23×C4—24no—
804C23×C4—24no—
805C23×C4—24no—
806C23×C4—24no—
807C23×C4—24no—
808C23×C4—44no—
809C23×C4—42no—
810C23×C4—42no—
811C23×C4—42no—
812C23×C4—44no—
813C23×C4C2411yescharacteristic
814C23×C4C2411yescharacteristic
815C23×C4C2414yes—
816C23×C4C2414yes—
817C23×C4C2412yes—
818C23×C4C2412yes—
819C23×C4C2412yes—
820C23×C4C2412yes—
821C23×C4C2412yes—
822C23×C4C2412yes—
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2412yes—
834C23×C4C2414yes—
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2411yescharacteristic
839C4⋊Q8—28no—
840C4⋊Q8—28no—
841C4⋊Q8—28no—
842C4⋊Q8—24no—
843C4⋊Q8—24no—
844C4⋊Q8—48no—
845#126—28no—
846#126—28no—
847#126—28no—
848#126—28no—
849#126—28no—
850#126—28no—
851#126—28no—
852#126—28no—
853#126—28no—
854#126—28no—
855#126—28no—
856#126—28no—
857#126—28no—
858#126C2×D4116yes—
859#126C2×D4116yes—
860#126C2×D4116yes—
861#126C2×D4116yes—
862#125—216no—
863#125—216no—
864#125—28no—
865#125—28no—
866#125—28no—
867#125—28no—
868#125—28no—
869#125—28no—
870#125—28no—
871#125—28no—
872#125—24no—
873#125—28no—
874#124—216no—
875#124—216no—
876#124—28no—
877#124—28no—
878#124—28no—
879#124—24no—
880#124—48no—
881#123—28no—
882#123—28no—
883#123—28no—
884#123—216no—
885#123—216no—
886#123—28no—
887#123—216no—
888#123—216no—
889#123—28no—
890#123—28no—
891#123—28no—
892#123—28no—
893#123—28no—
894#123—48no—
895#123—44no—
896#123—48no—
897C22⋊Q8—24no—
898C22⋊Q8—24no—
899C22⋊Q8—24no—
900C22⋊Q8—28no—
901C22⋊Q8—28no—
902C22⋊Q8—28no—
903C22⋊Q8—216no—
904C22⋊Q8—216no—
905C22⋊Q8—28no—
906C22⋊Q8—28no—
907C22⋊Q8—28no—
908C22⋊Q8—28no—
909C22⋊Q8—28no—
910C22⋊Q8—28no—
911C22⋊Q8—28no—
912C22⋊Q8—28no—
913C22⋊Q8—28no—
914C22⋊Q8—28no—
915C22⋊Q8—28no—
916C22⋊Q8—48no—
917C22⋊Q8—48no—
918C22⋊Q8—44no—
919C22⋊Q8—44no—
920C22⋊Q8—44no—
921#121—24no—
922#121—216no—
923#121—216no—
924#121—28no—
925#121—44no—
926#121—48no—
927#121—48no—
928#121—48no—
929#120—28no—
930#120—44no—
931#120—44no—
932C4×Q8—216no—
933C4×Q8—216no—
934C4×Q8—28no—
935C4×Q8—28no—
936C4×Q8—24no—
937C4×Q8—28no—
938C4×Q8—24no—
939C4×Q8—24no—
940C4×D4—28no—
941C4×D4—28no—
942C4×D4—28no—
943C4×D4—216no—
944C4×D4—216no—
945C4×D4—216no—
946C4×D4—216no—
947C4×D4—216no—
948C4×D4—216no—
949C4×D4—28no—
950C4×D4—28no—
951C4×D4—24no—
952C4×D4—48no—
953#117—28no—
954#117—28no—
955#117—216no—
956#117—216no—
957#117—28no—
958#117—216no—
959#117—216no—
960#117—28no—
961#117—28no—
962#117—28no—
963#117—44no—
964#117—44no—
965C2×C4⋊C4—24no—
966C2×C4⋊C4—24no—
967C2×C4⋊C4—24no—
968C2×C4⋊C4—24no—
969C2×C4⋊C4—24no—
970C2×C4⋊C4—24no—
971C2×C4⋊C4—24no—
972C2×C4⋊C4—28no—
973C2×C4⋊C4C2×D418yes—
974C2×C4⋊C4C2×D418yes—
975C2×C4⋊C4C2×D418yes—
976C2×C4⋊C4C2412yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2414yes—
979C2×C4⋊C4C2414yes—
980C2×C4⋊C4C2412yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2414yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C22⋊C4—24no—
1043C2×C22⋊C4—28no—
1044C2×C22⋊C4—24no—
1045C2×C22⋊C4—24no—
1046C2×C22⋊C4—24no—
1047C2×C22⋊C4—24no—
1048C2×C22⋊C4—24no—
1049C2×C22⋊C4—24no—
1050C2×C22⋊C4—44no—
1051C2×C22⋊C4C2×D418yes—
1052C2×C22⋊C4C2×D418yes—
1053C2×C22⋊C4C2×D418yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2414yes—
1057C2×C22⋊C4C2414yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C42—24no—
1113C2×C42—24no—
1114C2×C42—24no—
1115C2×C42—24no—
1116C2×C42—24no—
1117C2×C42—28no—
1118C2×C42—28no—
1119C2×C42—28no—
1120C2×C42—28no—
1121C2×C42C2×D418yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2414yes—
1126C2×C42C2414yes—
1127C2×C42C2412yes—
1128C2×C42C2412yes—
1129C2×C42C2412yes—
1130C2×C42C2412yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2414yes—
1138C2×C42C2414yes—
1139C2×C42C2414yes—
1140C2×C42C2414yes—
1141C2×C42C2414yes—
1142C2×C42C2411yescharacteristic
1143C2×C42C2411yescharacteristic
1144C2×C42C2411yescharacteristic
1145C2×C42C2411yescharacteristic
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2412yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188C24—22no—
1189C24—24no—
1190C24—22no—
1191C24—22no—
1192C24—22no—
1193C24—22no—
1194C24—22no—
1195C24—22no—
1196C24—22no—
1197C24—42no—
1198C24—42no—
1199C24—42no—
1200C24—42no—
1201C24—42no—
1202C24C22×D414yes—
1203C24C2512yes—
1204C24C2512yes—
1205C24C2512yes—
1206C24C2512yes—
1207C24C2511yescharacteristic
1208C2×Q8—28no—
1209C2×Q8—24no—
1210C2×Q8—22no—
1211C2×Q8—24no—
1212C2×Q8—22no—
1213C2×Q8—24no—
1214C2×Q8—22no—
1215C2×Q8—28no—
1216C2×Q8—44no—
1217C2×Q8—42no—
1218C2×Q8—44no—
1219C2×Q8—42no—
1220C2×Q8—42no—
1221C2×Q8—44no—
1222C2×Q8—44no—
1223C2×Q8—416no—
1224C2×D4—24no—
1225C2×D4—28no—
1226C2×D4—28no—
1227C2×D4—24no—
1228C2×D4—24no—
1229C2×D4—28no—
1230C2×D4—28no—
1231C2×D4—24no—
1232C2×D4—24no—
1233C2×D4—28no—
1234C2×D4—28no—
1235C2×D4—22no—
1236C2×D4—28no—
1237C2×D4—44no—
1238C2×D4—44no—
1239C2×D4—44no—
1240C2×D4—416no—
1241C2×D4—44no—
1242C2×D4—42no—
1243C2×D4—44no—
1244C2×D4—44no—
1245C2×D4—44no—
1246C2×D4—44no—
1247C2×D4—44no—
1248C2×D4—44no—
1249C2×D4—416no—
1250C2×D4—416no—
1251C22×C4—22no—
1252C22×C4—22no—
1253C22×C4—22no—
1254C22×C4—22no—
1255C22×C4—22no—
1256C22×C4—22no—
1257C22×C4—22no—
1258C22×C4—24no—
1259C22×C4—22no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—28no—
1264C22×C4—22no—
1265C22×C4—24no—
1266C22×C4—24no—
1267C22×C4—22no—
1268C22×C4—24no—
1269C22×C4—24no—
1270C22×C4—24no—
1271C22×C4—24no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—28no—
1277C22×C4—24no—
1278C22×C4—24no—
1279C22×C4—28no—
1280C22×C4—28no—
1281C22×C4—24no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—24no—
1285C22×C4—24no—
1286C22×C4—42no—
1287C22×C4—44no—
1288C22×C4—42no—
1289C22×C4—42no—
1290C22×C4—42no—
1291C22×C4—42no—
1292C22×C4—42no—
1293C22×C4—42no—
1294C22×C4—42no—
1295C22×C4—44no—
1296C22×C4—42no—
1297C22×C4—42no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—416no—
1302C22×C4—416no—
1303C22×C4—44no—
1304C22×C4—44no—
1305C22×C4—44no—
1306C22×C4—44no—
1307C22×C4—44no—
1308C22×C4—44no—
1309C22×C4—44no—
1310C22×C4—44no—
1311C22×C4—416no—
1312C22×C4—416no—
1313C22×C4—416no—
1314C22×C4C22×D414yes—
1315C22×C4C22×D414yes—
1316C22×C4C22×D414yes—
1317C22×C4C22×D414yes—
1318C22×C4C22×D414yes—
1319C22×C4C22×D414yes—
1320C22×C42−1+414yes—
1321C22×C4C2514yes—
1322C22×C4C2514yes—
1323C22×C4C2514yes—
1324C22×C4C2512yes—
1325C22×C4C2514yes—
1326C22×C4C2512yes—
1327C22×C4C2512yes—
1328C22×C4C2512yes—
1329C22×C4C2512yes—
1330C22×C4C2512yes—
1331C22×C4C2512yes—
1332C22×C4C2512yes—
1333C22×C4C2512yes—
1334C22×C4C2512yes—
1335C22×C4C2512yes—
1336C22×C4C2511yescharacteristic
1337C22×C4C2511yescharacteristic
1338C22×C4C2512yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2511yescharacteristic
1342C22×C4C2511yescharacteristic
1343C22×C4C2511yescharacteristic
1344C22×C4C2511yescharacteristic
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C4⋊C4—24no—
1348C4⋊C4—24no—
1349C4⋊C4—28no—
1350C4⋊C4—28no—
1351C4⋊C4—24no—
1352C4⋊C4—28no—
1353C4⋊C4—24no—
1354C4⋊C4—24no—
1355C4⋊C4—28no—
1356C4⋊C4—24no—
1357C4⋊C4—24no—
1358C4⋊C4—24no—
1359C4⋊C4—24no—
1360C4⋊C4—24no—
1361C4⋊C4—24no—
1362C4⋊C4—24no—
1363C4⋊C4—24no—
1364C4⋊C4—24no—
1365C4⋊C4—24no—
1366C4⋊C4—24no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—22no—
1371C4⋊C4—24no—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—22no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—22no—
1380C4⋊C4—24no—
1381C4⋊C4—22no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—28no—
1385C4⋊C4—28no—
1386C4⋊C4—28no—
1387C4⋊C4—28no—
1388C4⋊C4—44no—
1389C4⋊C4—44no—
1390C4⋊C4—44no—
1391C4⋊C4—44no—
1392C4⋊C4—42no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—42no—
1396C4⋊C4—44no—
1397C4⋊C4—42no—
1398C4⋊C4—42no—
1399C4⋊C4—44no—
1400C4⋊C4—44no—
1401C4⋊C4—44no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—44no—
1406C4⋊C4—44no—
1407C4⋊C4C22×D418yes—
1408C4⋊C4C22×D418yes—
1409C4⋊C4C22×D418yes—
1410C4⋊C4C22×D418yes—
1411C4⋊C4C22×D418yes—
1412C4⋊C4C22×D418yes—
1413C22⋊C4—28no—
1414C22⋊C4—24no—
1415C22⋊C4—24no—
1416C22⋊C4—24no—
1417C22⋊C4—24no—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—24no—
1421C22⋊C4—24no—
1422C22⋊C4—24no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—28no—
1426C22⋊C4—28no—
1427C22⋊C4—28no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—28no—
1431C22⋊C4—28no—
1432C22⋊C4—28no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—24no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—28no—
1446C22⋊C4—28no—
1447C22⋊C4—44no—
1448C22⋊C4—44no—
1449C22⋊C4—44no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4C22×D418yes—
1466C22⋊C4C22×D418yes—
1467C22⋊C4C22×D418yes—
1468C22⋊C4C22×D418yes—
1469C22⋊C4C22×D418yes—
1470C22⋊C4C22×D418yes—
1471C42—24no—
1472C42—24no—
1473C42—24no—
1474C42—24no—
1475C42—24no—
1476C42—24no—
1477C42—28no—
1478C42—28no—
1479C42—24no—
1480C42—24no—
1481C42—24no—
1482C42—24no—
1483C42—24no—
1484C42—24no—
1485C42—24no—
1486C42—44no—
1487C42—44no—
1488C42—44no—
1489C42—44no—
1490C42—44no—
1491C42C22×D414yes—
1492C42C22×D414yes—
1493C42C22×D414yes—
1494C42C22×D414yes—
1495C23—22no—
1496C23—22no—
1497C23—28no—
1498C23—22no—
1499C23—22no—
1500C23—22no—
1501C23—22no—
1502C23—22no—
1503C23—22no—
1504C23—22no—
1505C23—24no—
1506C23—24no—
1507C23—22no—
1508C23—28no—
1509C23—22no—
1510C23—22no—
1511C23—22no—
1512C23—22no—
1513C23—24no—
1514C23—24no—
1515C23—24no—
1516C23—24no—
1517C23—22no—
1518C23—22no—
1519C23—44no—
1520C23—44no—
1521C23—48no—
1522C23—48no—
1523C23—44no—
1524C23—44no—
1525C23—44no—
1526C23—44no—
1527C23—44no—
1528C23—84no—
1529C23—84no—
1530C23—84no—
1531C23—84no—
1532C23C23×D414yes—
1533C23C23×D412yes—
1534C23C2×2−1+412yes—
1535C23#58514yes—
1536C23#58512yes—
1537C23C2611yescharacteristic
1538Q8—416no—
1539Q8—82no—
1540Q8—82no—
1541Q8—84no—
1542Q8—82no—
1543Q8—84no—
1544Q8—84no—
1545D4—416no—
1546D4—416no—
1547D4—416no—
1548D4—48no—
1549D4—82no—
1550D4—84no—
1551D4—84no—
1552D4—88no—
1553D4—164no—
1554C2×C4—28no—
1555C2×C4—22no—
1556C2×C4—22no—
1557C2×C4—21no—
1558C2×C4—22no—
1559C2×C4—21no—
1560C2×C4—21no—
1561C2×C4—22no—
1562C2×C4—22no—
1563C2×C4—24no—
1564C2×C4—24no—
1565C2×C4—21no—
1566C2×C4—22no—
1567C2×C4—22no—
1568C2×C4—22no—
1569C2×C4—22no—
1570C2×C4—22no—
1571C2×C4—28no—
1572C2×C4—28no—
1573C2×C4—28no—
1574C2×C4—22no—
1575C2×C4—22no—
1576C2×C4—22no—
1577C2×C4—22no—
1578C2×C4—22no—
1579C2×C4—22no—
1580C2×C4—22no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—22no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—24no—
1589C2×C4—24no—
1590C2×C4—24no—
1591C2×C4—24no—
1592C2×C4—24no—
1593C2×C4—24no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—24no—
1597C2×C4—24no—
1598C2×C4—24no—
1599C2×C4—24no—
1600C2×C4—24no—
1601C2×C4—24no—
1602C2×C4—22no—
1603C2×C4—24no—
1604C2×C4—24no—
1605C2×C4—24no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—22no—
1611C2×C4—44no—
1612C2×C4—44no—
1613C2×C4—44no—
1614C2×C4—44no—
1615C2×C4—48no—
1616C2×C4—48no—
1617C2×C4—416no—
1618C2×C4—48no—
1619C2×C4—48no—
1620C2×C4—416no—
1621C2×C4—48no—
1622C2×C4—48no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—44no—
1626C2×C4—44no—
1627C2×C4—84no—
1628C2×C4—84no—
1629C2×C4—84no—
1630C2×C4—84no—
1631C2×C4—84no—
1632C2×C4—164no—
1633C2×C4C23×D412yes—
1634C2×C4C23×D412yes—
1635C2×C4C23×D414yes—
1636C2×C4C23×D414yes—
1637C2×C4C23×D412yes—
1638C2×C4C23×D412yes—
1639C2×C4C23×D412yes—
1640C2×C4C23×D412yes—
1641C2×C4C23×D414yes—
1642C2×C4C2×2−1+414yes—
1643C2×C4#58514yes—
1644C22—24no—
1645C22—22no—
1646C22—22no—
1647C22—24no—
1648C22—24no—
1649C22—24no—
1650C22—24no—
1651C22—24no—
1652C22—24no—
1653C22—24no—
1654C22—416no—
1655C22—42no—
1656C22—44no—
1657C22—42no—
1658C22—42no—
1659C22—44no—
1660C22—42no—
1661C22—44no—
1662C22—44no—
1663C22—42no—
1664C22—42no—
1665C22—42no—
1666C22—42no—
1667C22—42no—
1668C22—42no—
1669C22—44no—
1670C22—44no—
1671C22—88no—
1672C22—88no—
1673C22#348914yes—
1674C22C24×D411yescharacteristic
1675C22C22×2−1+411yescharacteristic
1676C22C2×#58512yes—
1677C22C2×#58512yes—
1678C22C2×#58511yescharacteristic
1679C4—24no—
1680C4—22no—
1681C4—24no—
1682C4—22no—
1683C4—24no—
1684C4—22no—
1685C4—22no—
1686C4—22no—
1687C4—22no—
1688C4—24no—
1689C4—24no—
1690C4—44no—
1691C4—42no—
1692C4—42no—
1693C4—42no—
1694C4—42no—
1695C4—42no—
1696C4—42no—
1697C4—42no—
1698C4—42no—
1699C4—42no—
1700C4—42no—
1701C4—42no—
1702C4—44no—
1703C4—44no—
1704C4—44no—
1705C2—24no—
1706C2—44no—
1707C2—44no—
1708C2—82no—
1709C2—82no—
1710C2#6275212yes—
1711C2C2×#348911yescharacteristic
1712C2#6281111yescharacteristic
1713C2#6281111yescharacteristic
1714C2#6282912yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#36706C2
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×#3564C2semidirect
2. C22×#529C2semidirect
3. #59178C2semidirect
4. #59171C2semidirect
5. #46131C2semidirect
6. #46130C2semidirect
7. #39116C2semidirect
8. #38912C2semidirect
9. #38045C2semidirect
10. #38044C2semidirect
11. #37819C2semidirect
12. #37816C2semidirect
13. #37807C2semidirect
14. #37806C2semidirect
15. #37548C2semidirect
16. #37538C2semidirect
17. #36719C2semidirect
18. #36718C2semidirect
19. #36708C2semidirect
21. #36625C2semidirect
22. #36621C2semidirect
23. #36547C2semidirect
24. #36162C2semidirect
25. #36159C2semidirect
26. #36159C2semidirect
27. #35151C2semidirect
28. #35094C2semidirect
29. #35093C2semidirect
30. #35090C2semidirect
31. #34381C2semidirect
33. C2×#563C22semidirect
34. C2×#563C22semidirect
35. C2×#556C22semidirect
38. C2×#552C22semidirect
43. C2×#542C22semidirect
44. C2×#541C22semidirect
45. C2×#541C22semidirect
47. C2×#539C22semidirect
71. #2857C22semidirect
72. #2857C22semidirect
81. #2852C22semidirect
82. #2851C22semidirect
83. #2851C22semidirect
84. #2850C22semidirect
93. #2823C22semidirect
94. #2821C22semidirect
95. #2821C22semidirect
96. #2726C22semidirect
97. #2725C22semidirect
98. #2720C22semidirect
99. #2719C22semidirect
100. #2715C22semidirect
101. #2710C22semidirect
102. #2707C22semidirect
103. #2706C22semidirect
104. #2704C22semidirect
105. #2702C22semidirect
106. #2696C22semidirect
107. #2695C22semidirect
109. #2690C22semidirect
110. #2690C22semidirect
111. #2683C22semidirect
114. #2681C22semidirect
115. #2681C22semidirect
116. #2680C22semidirect
117. #2677C22semidirect
118. #2677C22semidirect
121. #2674C22semidirect
122. #2674C22semidirect
125. #2672C22semidirect
126. #2672C22semidirect
128. #2664C22semidirect
129. #2664C22semidirect
130. #2662C22semidirect
131. #2637C22semidirect
132. #2637C22semidirect
133. #2636C22semidirect
146. #2604C22semidirect
147. #2604C22semidirect
148. #2601C22semidirect
155. #2558C22semidirect
156. #2553C22semidirect
159. #2521C22semidirect
160. #2519C22semidirect
161. #2506C22semidirect
162. #2491C22semidirect
167. #2479C22semidirect
168. #2478C22semidirect
169. #2477C22semidirect
170. #2476C22semidirect
171. #2475C22semidirect
172. #2475C22semidirect
173. #2474C22semidirect
174. #2474C22semidirect
175. #2471C22semidirect
176. #2470C22semidirect
177. #2470C22semidirect
178. #2468C22semidirect
179. #2468C22semidirect
180. #2467C22semidirect
181. #2467C22semidirect
182. #2466C22semidirect
183. #2466C22semidirect
184. #2465C22semidirect
185. #2465C22semidirect
186. #2462C22semidirect
187. #2462C22semidirect
188. #2462C22semidirect
189. #2461C22semidirect
190. #2461C22semidirect
191. #2460C22semidirect
192. #2460C22semidirect
193. #2459C22semidirect
194. #2459C22semidirect
195. #2458C22semidirect
196. #2457C22semidirect
197. #2457C22semidirect
198. #2455C22semidirect
199. #2454C22semidirect
200. #2451C22semidirect
201. #2450C22semidirect
202. #2450C22semidirect
203. #2443C22semidirect
204. #2441C22semidirect
205. #2441C22semidirect
206. #2439C22semidirect
207. #2439C22semidirect
208. #2438C22semidirect
209. #2438C22semidirect
210. #2438C22semidirect
211. #2438C22semidirect
214. #2429C22semidirect
215. #2427C22semidirect
216. #2425C22semidirect
217. #2425C22semidirect
218. #2422C22semidirect
229. #2383C22semidirect
230. #2373C22semidirect
231. #2367C22semidirect
232. #2365C22semidirect
233. #2364C22semidirect
234. #2364C22semidirect
235. #2363C22semidirect
236. #2360C22semidirect
237. #2359C22semidirect
238. #2359C22semidirect
243. #2334C22semidirect
244. #2334C22semidirect
253. C4×C22⋊Q8C22semidirect
254. C4×C22⋊Q8C22semidirect
255. C4×C22⋊Q8C22semidirect
256. C4×C22⋊Q8C22semidirect
260. C4×#121C22semidirect
263. #2290C22semidirect
307. C2×#126D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35642
C22×#5292
#591782
#591712
#461312
#461302
#391162
#389122
#380452
#380442
#378192
#378162
#378072
#378062
#375482
#375382
#367192
#367182
#367082
#367062
#366252
#366212
#365472
#361622
#361592
#351512
#350942
#350932
#350902
#343812