Finite Group Databasebeta

← #7717495

Subgroups — #7717495

Order 512.

6950 conjugacy classes of subgroups.

The subgroup lattice has 1759 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3564C211yesmaximal, characteristic, complemented
2C22×#553C211yesmaximal, characteristic, complemented
3#51320C214yesmaximal, complemented
4#51318C214yesmaximal, complemented
5#51204C214yesmaximal, complemented
6#51202C214yesmaximal, complemented
7#44785C214yesmaximal, complemented
8#44209C214yesmaximal, complemented
9#44206C214yesmaximal, complemented
10#44187C214yesmaximal, complemented
11#39467C212yesmaximal, complemented
12#39460C212yesmaximal, complemented
13#39460C212yesmaximal, complemented
14#39116C212yesmaximal, complemented
15#38045C212yesmaximal, complemented
16#38039C212yesmaximal, complemented
17#36971C211yesmaximal, characteristic, complemented
18#36962C211yesmaximal, characteristic, complemented
19#36718C211yesmaximal, characteristic, complemented
20#36706C211yesmaximal, characteristic, complemented
21#36546C212yesmaximal, complemented
22#36317C212yesmaximal, complemented
23#35325C211yesmaximal, characteristic, complemented
24#35302C211yesmaximal, characteristic, complemented
25#35174C211yesmaximal, characteristic, complemented
26#35172C211yesmaximal, characteristic, complemented
27#34987C211yesmaximal, characteristic, complemented
28#34986C211yesmaximal, characteristic, complemented
29#34985C211yesmaximal, characteristic, complemented
30#34593C211yesmaximal, characteristic, complemented
31#34381C211yesmaximal, characteristic, complemented
32#3564—216no—
33C2×#563C2212yescomplemented
34C2×#563C2212yescomplemented
35C2×#556C2212yescomplemented
36C2×#554C2212yes—
37C2×#553—216no—
38C2×#553C2214yes—
39C2×#553C2214yes—
40C2×#553C2214yes—
41C2×#553C2214yes—
42C2×#552C2212yes—
43C2×#552C2212yescomplemented
44C2×#551C2212yes—
45C2×#551C2212yes—
46C2×#544C2211yescharacteristic
47C2×#543C2211yescharacteristic
48C2×#542C2212yescomplemented
49C2×#541C2212yescomplemented
50C2×#541C2212yescomplemented
51C2×#539C2211yescharacteristic
52C2×#539C2212yescomplemented
53C2×#538C2211yescharacteristic
54C2×#533C2211yescharacteristic
55C2×#529C2211yescharacteristic
56C22×#126C2211yescharacteristic
57C22×#126C2211yescharacteristic
58C22×#125C2211yescharacteristic
59C22×#123C2211yescharacteristic
60C22×#123C2211yescharacteristic
61C22×#121C2211yescharacteristic
62C22×#121C2211yescharacteristic
63C22×#121C2211yescharacteristic
64C22×#121C2211yescharacteristic
65C22×C4×D4C2211yescharacteristic
66C22×C4×D4C2211yescharacteristic
67C22×C4×D4C2211yescharacteristic
68C22×C4×D4C2211yescharacteristic
69C22×#117C2211yescharacteristic
70C23×C4⋊C4C2211yescharacteristic
71#2855C2211yescharacteristic
72#2855C2211yescharacteristic
73#2855C2211yescharacteristic
74#2854C2211yescharacteristic
75#2853C2212yes—
76#2849C2212yes—
77#2848C2212yes—
78#2848C2212yes—
79#2848C2212yes—
80#2848C2211yescharacteristic
81#2848C2212yes—
82#2848C2211yescharacteristic
83#2848C2211yescharacteristic
84#2847C2211yescharacteristic
85#2727C2214yescomplemented
86#2726C2214yescomplemented
87#2725C2214yescomplemented
88#2725C2214yescomplemented
89#2721C2214yescomplemented
90#2721C2214yescomplemented
91#2720C2214yescomplemented
92#2719C2214yescomplemented
93#2718C2214yescomplemented
94#2718C2214yescomplemented
95#2716C2214yescomplemented
96#2716C2214yescomplemented
97#2714C2214yescomplemented
98#2714C2214yescomplemented
99#2711C2214yescomplemented
100#2711C2214yescomplemented
101#2710C2214yescomplemented
102#2707C2214yescomplemented
103#2706C2214yescomplemented
104#2705C2214yescomplemented
105#2703C2214yescomplemented
106#2703C2214yescomplemented
107#2702C2214yescomplemented
108#2696C2214yescomplemented
109#2691C2214yescomplemented
110#2691C2214yescomplemented
111#2691C2214yescomplemented
112#2681C2214yescomplemented
113#2681C2214yescomplemented
114#2681C2214yescomplemented
115#2681C2214yescomplemented
116#2681C2214yescomplemented
117#2676C2214yescomplemented
118#2676C2214yescomplemented
119#2676C2214yescomplemented
120#2675C2214yescomplemented
121#2674C2214yescomplemented
122#2672C2214yescomplemented
123#2672C2214yescomplemented
124#2671C2214yescomplemented
125#2636C2214yescomplemented
126#2633C2212yescomplemented
127#2631C2212yescomplemented
128#2629C2212yescomplemented
129#2628C2212yescomplemented
130#2627C2212yes—
131#2626C2211yescharacteristic
132#2626C2211yescharacteristic
133#2626C2211yescharacteristic
134#2626C2211yescharacteristic
135#2626C2211yescharacteristic
136#2626C2211yescharacteristic
137#2626C2212yes—
138#2623C2212yes—
139#2621C2212yescomplemented
140#2620C2212yescomplemented
141#2617C2211yescharacteristic
142#2617C2211yescharacteristic
143#2613C2212yes—
144#2613C2212yes—
145#2613C2212yes—
146#2611C2214yescomplemented
147#2609C2214yescomplemented
148#2601C2214yescomplemented
149#2599C2214yescomplemented
150#2583C2212yes—
151#2583C2212yes—
152#2580C2212yescomplemented
153#2580C2212yescomplemented
154#2579C2212yes—
155#2579C2212yes—
156#2566C2214yescomplemented
157#2563C2212yescomplemented
158#2561C2212yes—
159#2561C2212yes—
160#2559C2214yescomplemented
161#2559C2214yescomplemented
162#2558C2214yescomplemented
163#2542C2212yescomplemented
164#2540C2214yescomplemented
165#2538C2214yescomplemented
166#2534C2212yes—
167#2534C2212yes—
168#2519C2214yescomplemented
169#2506C2214yescomplemented
170#2502C2212yes—
171#2501C2214yescomplemented
172#2490C2214yescomplemented
173#2488C2214yescomplemented
174#2487C2212yes—
175#2484C2212yes—
176#2484C2212yes—
177#2482C2212yes—
178#2482C2212yes—
179#2476C2214yescomplemented
180#2476C2214yescomplemented
181#2475C2214yescomplemented
182#2473C2214yescomplemented
183#2473C2214yescomplemented
184#2468C2214yescomplemented
185#2467C2214yescomplemented
186#2466C2214yescomplemented
187#2466C2214yescomplemented
188#2464C2214yescomplemented
189#2464C2214yescomplemented
190#2463C2214yescomplemented
191#2462C2214yescomplemented
192#2461C2214yescomplemented
193#2461C2214yescomplemented
194#2460C2214yescomplemented
195#2459C2214yescomplemented
196#2458C2214yescomplemented
197#2456C2214yescomplemented
198#2456C2214yescomplemented
199#2456C2214yescomplemented
200#2456C2214yescomplemented
201#2455C2214yescomplemented
202#2455C2214yescomplemented
203#2454C2214yescomplemented
204#2454C2214yescomplemented
205#2452C2214yescomplemented
206#2452C2214yescomplemented
207#2450C2214yescomplemented
208#2450C2214yescomplemented
209#2449C2214yescomplemented
210#2449C2214yescomplemented
211#2449C2214yescomplemented
212#2449C2214yescomplemented
213#2449C2214yescomplemented
214#2443C2214yescomplemented
215#2440C2214yescomplemented
216#2435C2212yes—
217#2426C2214yescomplemented
218#2425C2214yescomplemented
219#2425C2214yescomplemented
220#2417C2214yescomplemented
221#2414C2214yescomplemented
222#2413C2212yes—
223#2413C2212yes—
224#2413C2214yescomplemented
225#2411C2212yes—
226#2411C2212yes—
227#2410C2212yes—
228#2410C2212yes—
229#2408C2212yes—
230#2405C2212yes—
231#2405C2212yes—
232#2398C2212yescomplemented
233#2397C2212yescomplemented
234#2392C2214yescomplemented
235#2383C2214yescomplemented
236#2373C2214yescomplemented
237#2361C2214yescomplemented
238#2360C2214yescomplemented
239#2359C2214yescomplemented
240D4×C4⋊C4C2214yescomplemented
241#2345C2212yes—
242#2344C2212yes—
243#2342C2212yes—
244#2342C2212yes—
245#2334C2214yescomplemented
246#2334C2214yescomplemented
247#2324C2212yescomplemented
248#2323C2212yescomplemented
249#2323C2212yescomplemented
250#2323C2212yescomplemented
251#2322C2212yes—
252#2321C2212yes—
253#2317C2212yes—
254#2316C2211yescharacteristic
255#2315C2211yescharacteristic
256#2313C2211yescharacteristic
257#2312C2211yescharacteristic
258#2309C2212yes—
259#2309C2212yes—
260#2308C2212yes—
261C4×#120C2212yes—
262C4×#120C2212yes—
263C4×#120C2212yes—
264C4×#120C2212yes—
265#2296C2212yes—
266C2×#385C2212yes—
267#2285C2211yescharacteristic
268#2283C2211yescharacteristic
269C23×D4C2311yescharacteristic
270C23×D4C2311yescharacteristic
271C23×D4C2311yescharacteristic
272C23×D4C2311yescharacteristic
273C23×D4C2311yescharacteristic
274C23×D4C2311yescharacteristic
275C24×C4C2311yescharacteristic
276C24×C4C2311yescharacteristic
277C24×C4C2311yescharacteristic
278C24×C4C2311yescharacteristic
279C24×C4C2311yescharacteristic
280C24×C4C2311yescharacteristic
281#563—216no—
282#563—216no—
283#556—216no—
284#554—216no—
285#553—232no—
286#553—232no—
287#553—232no—
288#553—232no—
289#552—216no—
290#552—216no—
291#551—216no—
292#551—216no—
293#544—28no—
294#543—28no—
295#542—216no—
296#541—216no—
297#541—216no—
298#539—216no—
299#539—28no—
300#538—28no—
301#533—28no—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×C4⋊Q8C2312yes—
305C2×C4⋊Q8C2312yes—
306C2×C4⋊Q8C2312yes—
307#529—28no—
308C2×#126—28no—
309C2×#126D4116yescomplemented
310C2×#126C2312yes—
311C2×#126C2314yes—
312C2×#126C2314yes—
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×#125C2312yes—
327C2×#125C2311yescharacteristic
328C2×#125C2314yes—
329C2×#125C2314yes—
330C2×#125C2312yes—
331C2×#125C2312yes—
332C2×#125C2312yes—
333C2×#125C2312yes—
334C2×#125C2312yes—
335C2×#125C2312yes—
336C2×#125C2312yes—
337C2×#125C2312yes—
338C2×#124C2311yescharacteristic
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#124C2312yes—
342C2×#124C2314yes—
343C2×#123—28no—
344C2×#123—28no—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2312yes—
352C2×#123C2312yes—
353C2×#123C2312yes—
354C2×#123C2312yes—
355C2×#123C2312yes—
356C2×#123C2312yes—
357C2×#123C2312yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2314yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2311yescharacteristic
365C2×C22⋊Q8C2311yescharacteristic
366C2×C22⋊Q8C2311yescharacteristic
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
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⋊Q8C2314yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2314yes—
385C2×#121—28no—
386C2×#121—28no—
387C2×#121—28no—
388C2×#121—28no—
389C2×#121C2311yescharacteristic
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2314yes—
398C2×#121C2312yes—
399C2×#121C2312yes—
400C2×#121C2314yes—
401C2×#121C2314yes—
402C2×#121C2314yes—
403C2×#120C2312yes—
404C2×#120C2312yes—
405C2×#120C2312yes—
406C2×#120C2312yes—
407C2×C4×Q8C2311yescharacteristic
408C2×C4×Q8C2311yescharacteristic
409C2×C4×Q8C2311yescharacteristic
410C2×C4×Q8C2312yes—
411C2×C4×Q8C2312yes—
412C2×C4×Q8C2312yes—
413C2×C4×D4—28no—
414C2×C4×D4—28no—
415C2×C4×D4—28no—
416C2×C4×D4—28no—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2312yes—
424C2×C4×D4C2314yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2314yes—
428C2×C4×D4C2314yes—
429C2×C4×D4C2314yes—
430C2×C4×D4C2314yes—
431C2×C4×D4C2314yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2314yes—
434C2×C4×D4C2314yes—
435C2×C4×D4C2314yes—
436C2×C4×D4C2314yes—
437C2×#117—28no—
438C2×#117C2312yes—
439C2×#117C2312yes—
440C2×#117C2312yes—
441C2×#117C2312yes—
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2312yes—
449C2×#117C2312yes—
450C22×C4⋊C4—28no—
451C22×C4⋊C4C2311yescharacteristic
452C22×C4⋊C4C2311yescharacteristic
453C22×C4⋊C4C2311yescharacteristic
454C22×C4⋊C4C2311yescharacteristic
455C22×C4⋊C4C2312yes—
456C22×C4⋊C4C2314yes—
457C22×C4⋊C4C2311yescharacteristic
458C22×C4⋊C4C2314yes—
459C22×C4⋊C4C2311yescharacteristic
460C22×C4⋊C4C2311yescharacteristic
461C22×C4⋊C4C2314yes—
462C22×C4⋊C4C2311yescharacteristic
463C22×C4⋊C4C2311yescharacteristic
464C22×C4⋊C4C2311yescharacteristic
465C22×C22⋊C4C2311yescharacteristic
466C22×C22⋊C4C2311yescharacteristic
467C22×C22⋊C4C2312yes—
468C22×C22⋊C4C2311yescharacteristic
469C22×C22⋊C4C2311yescharacteristic
470C22×C22⋊C4C2311yescharacteristic
471C22×C22⋊C4C2311yescharacteristic
472C22×C22⋊C4C2311yescharacteristic
473C22×C22⋊C4C2312yes—
474C22×C22⋊C4C2311yescharacteristic
475C22×C22⋊C4C2311yescharacteristic
476C22×C22⋊C4C2311yescharacteristic
477C22×C42C2311yescharacteristic
478C22×C42C2311yescharacteristic
479C22×C42C2311yescharacteristic
480#400C2314yes—
481#400C2314yes—
482#400C2314yes—
483#400C2314yes—
484#400C2314yes—
485#399C2312yes—
486#399C2312yes—
487#399C2312yes—
488#399C2312yes—
489#399C2314yes—
490#399C2314yes—
491#399C2312yes—
492#399C2312yes—
493#399C2314yes—
494#399C2314yes—
495#399C2314yes—
496#398C2314yes—
497#398C2314yes—
498#398C2314yes—
499#398C2314yes—
500#398C2314yes—
501#398C2314yes—
502#398C2314yes—
503#398C2314yes—
504#398C2314yes—
505#398C2314yes—
506#398C2314yes—
507#398C2314yes—
508#398C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2312yes—
513#397C2312yes—
514#397C2314yes—
515#397C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#395C2314yes—
533#395C2314yes—
534#395C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#393C2314yes—
557#393C2314yes—
558#393C2312yes—
559#393C2312yes—
560#393C2312yes—
561#393C2312yes—
562#393C2312yes—
563#393C2312yes—
564#393C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2312yes—
572#392C2312yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#391C2312yes—
577#391C2312yes—
578#391C2312yes—
579#391C2314yes—
580#390C2314yes—
581#390C2314yes—
582#390C2314yes—
583#390C2314yes—
584#390C2314yes—
585#390C2314yes—
586#390C2314yes—
587#390C2314yes—
588#390C2314yes—
589#390C2312yes—
590#390C2314yes—
591#390C2314yes—
592#390C2314yes—
593#390C2314yes—
594#389C2314yes—
595#389C2314yes—
596#389C2314yes—
597#389C2314yes—
598#389C2314yes—
599#389C2314yes—
600#389C2314yes—
601#389C2312yes—
602#389C2312yes—
603#389C2312yes—
604#389C2314yes—
605#389C2312yes—
606#389C2314yes—
607#389C2314yes—
608#389C2314yes—
609#389C2314yes—
610#389C2314yes—
611#389C2314yes—
612#389C2314yes—
613#389C2314yes—
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#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#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#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2312yes—
663#386C2314yes—
664#386C2312yes—
665#386C2312yes—
666#386C2312yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2314yes—
682#385C2314yes—
683#385C2314yes—
684#385C2314yes—
685#385C2312yes—
686#385C2312yes—
687#385C2312yes—
688#385C2312yes—
689#385C2314yes—
690#385C2314yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2314yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2312yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2312yes—
710#385C2314yes—
711#385C2314yes—
712#385C2314yes—
713#385C2314yes—
714#385C2314yes—
715#385C2314yes—
716#384C2314yes—
717#384C2314yes—
718#384C2312yes—
719#383C2312yes—
720#382C2314yes—
721#382C2312yes—
722#382C2312yes—
723#381C2312yes—
724#381C2312yes—
725#381C2312yes—
726#381C2312yes—
727#381C2314yes—
728#381C2312yes—
729#380C2314yes—
730#380C2314yes—
731#380C2311yescharacteristic
732#380C2311yescharacteristic
733#380C2311yescharacteristic
734#380C2311yescharacteristic
735#380C2312yes—
736#380C2312yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2312yes—
741#380C2312yes—
742#380C2314yes—
743#380C2314yes—
744#380C2314yes—
745#379C2312yes—
746#379C2312yes—
747#379C2312yes—
748#379C2312yes—
749#379C2312yes—
750#379C2312yes—
751#379C2312yes—
752#379C2312yes—
753#379C2312yes—
754#379C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2312yes—
757C4×C4⋊C4C2312yes—
758C4×C4⋊C4C2314yes—
759C4×C4⋊C4C2314yes—
760C4×C4⋊C4C2314yes—
761C4×C4⋊C4C2314yes—
762C4×C22⋊C4C2312yes—
763C4×C22⋊C4C2312yes—
764C4×C22⋊C4C2312yes—
765C4×C22⋊C4C2314yes—
766C4×C22⋊C4C2314yes—
767C4×C22⋊C4C2314yes—
768C4×C22⋊C4C2314yes—
769C4×C22⋊C4C2314yes—
770C4×C22⋊C4C2314yes—
771#376C2312yes—
772C2×#95C2314yes—
773C25C2411yescharacteristic
774C25C2411yescharacteristic
775C25C2411yescharacteristic
776C25C2411yescharacteristic
777C22×Q8C2412yes—
778C22×Q8C2412yes—
779C22×Q8C2411yescharacteristic
780C22×Q8C2412yes—
781C22×Q8C2411yescharacteristic
782C22×Q8C2411yescharacteristic
783C22×D4—24no—
784C22×D4—24no—
785C22×D4—24no—
786C22×D4—24no—
787C22×D4—24no—
788C22×D4—24no—
789C22×D4—24no—
790C22×D4—24no—
791C22×D4—24no—
792C22×D4—44no—
793C22×D4—42no—
794C22×D4—42no—
795C22×D4—42no—
796C22×D4—82no—
797C22×D4—82no—
798C22×D4C2412yes—
799C22×D4C2414yes—
800C22×D4C2414yes—
801C22×D4C2412yes—
802C22×D4C2412yes—
803C22×D4C2414yes—
804C22×D4C2414yes—
805C22×D4C2412yes—
806C22×D4C2412yes—
807C22×D4C2411yescharacteristic
808C22×D4C2414yes—
809C22×D4C2414yes—
810C22×D4C2414yes—
811C22×D4C2414yes—
812C23×C4—24no—
813C23×C4—24no—
814C23×C4—24no—
815C23×C4—24no—
816C23×C4—24no—
817C23×C4—24no—
818C23×C4—44no—
819C23×C4—44no—
820C23×C4—82no—
821C23×C4—82no—
822C23×C4—82no—
823C23×C4—82no—
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2414yes—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2412yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2414yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2412yes—
842C23×C4C2414yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2414yes—
846C23×C4C2411yescharacteristic
847C23×C4C2411yescharacteristic
848C23×C4C2411yescharacteristic
849C23×C4C2411yescharacteristic
850C4⋊Q8—28no—
851C4⋊Q8—28no—
852C4⋊Q8—28no—
853C4⋊Q8—24no—
854C4⋊Q8—24no—
855#126—216no—
856#126—216no—
857#126—28no—
858#126—28no—
859#126—28no—
860#126—28no—
861#126—28no—
862#126—28no—
863#126—28no—
864#126—28no—
865#126—28no—
866#126C2×D4116yes—
867#126C2×D4116yes—
868#126C2×D4116yes—
869#126C2×D4116yes—
870#125—216no—
871#125—216no—
872#125—28no—
873#125—28no—
874#125—28no—
875#125—28no—
876#125—28no—
877#125—28no—
878#125—28no—
879#125—28no—
880#125—24no—
881#125—28no—
882#124—28no—
883#124—28no—
884#124—28no—
885#124—24no—
886#124—84no—
887#123—28no—
888#123—28no—
889#123—216no—
890#123—216no—
891#123—28no—
892#123—216no—
893#123—216no—
894#123—28no—
895#123—28no—
896#123—28no—
897#123—28no—
898#123—28no—
899#123—44no—
900#123—48no—
901#123—84no—
902#123—84no—
903C22⋊Q8—24no—
904C22⋊Q8—24no—
905C22⋊Q8—24no—
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—28no—
917C22⋊Q8—28no—
918C22⋊Q8—28no—
919C22⋊Q8—28no—
920C22⋊Q8—44no—
921C22⋊Q8—44no—
922C22⋊Q8—48no—
923C22⋊Q8—44no—
924C22⋊Q8—84no—
925C22⋊Q8—84no—
926C22⋊Q8—84no—
927#121—24no—
928#121—216no—
929#121—216no—
930#121—216no—
931#121—216no—
932#121—216no—
933#121—216no—
934#121—216no—
935#121—216no—
936#121—28no—
937#121—44no—
938#121—48no—
939#121—84no—
940#121—84no—
941#120—28no—
942#120—28no—
943#120—44no—
944#120—44no—
945C4×Q8—28no—
946C4×Q8—28no—
947C4×Q8—24no—
948C4×Q8—28no—
949C4×Q8—24no—
950C4×Q8—24no—
951C4×D4—28no—
952C4×D4—28no—
953C4×D4—28no—
954C4×D4—216no—
955C4×D4—216no—
956C4×D4—216no—
957C4×D4—216no—
958C4×D4—216no—
959C4×D4—216no—
960C4×D4—28no—
961C4×D4—28no—
962C4×D4—28no—
963C4×D4—28no—
964C4×D4—28no—
965C4×D4—28no—
966C4×D4—24no—
967C4×D4—48no—
968C4×D4—84no—
969C4×D4—84no—
970C4×D4—84no—
971#117—28no—
972#117—28no—
973#117—28no—
974#117—28no—
975#117—28no—
976#117—28no—
977#117—28no—
978#117—28no—
979#117—28no—
980#117—28no—
981#117—44no—
982#117—44no—
983C2×C4⋊C4—24no—
984C2×C4⋊C4—24no—
985C2×C4⋊C4—24no—
986C2×C4⋊C4—24no—
987C2×C4⋊C4—24no—
988C2×C4⋊C4—24no—
989C2×C4⋊C4—24no—
990C2×C4⋊C4—216no—
991C2×C4⋊C4—216no—
992C2×C4⋊C4—28no—
993C2×C4⋊C4—84no—
994C2×C4⋊C4C2×D418yes—
995C2×C4⋊C4C2×D418yes—
996C2×C4⋊C4C2×D418yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2414yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C22⋊C4—28no—
1063C2×C22⋊C4—24no—
1064C2×C22⋊C4—24no—
1065C2×C22⋊C4—24no—
1066C2×C22⋊C4—24no—
1067C2×C22⋊C4—24no—
1068C2×C22⋊C4—24no—
1069C2×C22⋊C4—24no—
1070C2×C22⋊C4—44no—
1071C2×C22⋊C4C2×D418yes—
1072C2×C22⋊C4C2×D418yes—
1073C2×C22⋊C4C2×D418yes—
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⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C42—24no—
1140C2×C42—24no—
1141C2×C42C2×D418yes—
1142C2×C42C2412yes—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2414yes—
1151C2×C42C2412yes—
1152C2×C42C2414yes—
1153C2×C42C2414yes—
1154C2×C42C2414yes—
1155C2×C42C2414yes—
1156C2×C42C2414yes—
1157C2×C42C2411yescharacteristic
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2412yes—
1167#95C2412yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182#95C2414yes—
1183#95C2414yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2414yes—
1195#95C2414yes—
1196#95C2414yes—
1197C24—22no—
1198C24—22no—
1199C24—22no—
1200C24—22no—
1201C24—22no—
1202C24—22no—
1203C24—22no—
1204C24—22no—
1205C24—22no—
1206C24—22no—
1207C24—42no—
1208C24—42no—
1209C24—42no—
1210C24—42no—
1211C24—42no—
1212C24—42no—
1213C24—42no—
1214C24—42no—
1215C24C22×D414yes—
1216C242−1+414yes—
1217C24C2512yes—
1218C24C2512yes—
1219C24C2512yes—
1220C24C2512yes—
1221C24C2512yes—
1222C24C2511yescharacteristic
1223C2×Q8—24no—
1224C2×Q8—22no—
1225C2×Q8—24no—
1226C2×Q8—22no—
1227C2×Q8—24no—
1228C2×Q8—22no—
1229C2×Q8—44no—
1230C2×Q8—42no—
1231C2×Q8—42no—
1232C2×Q8—42no—
1233C2×Q8—44no—
1234C2×Q8—44no—
1235C2×D4—24no—
1236C2×D4—28no—
1237C2×D4—28no—
1238C2×D4—28no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—28no—
1243C2×D4—28no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—28no—
1248C2×D4—24no—
1249C2×D4—28no—
1250C2×D4—24no—
1251C2×D4—22no—
1252C2×D4—28no—
1253C2×D4—28no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—42no—
1257C2×D4—44no—
1258C2×D4—42no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—416no—
1262C2×D4—416no—
1263C2×D4—416no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—416no—
1278C2×D4—88no—
1279C2×D4—88no—
1280C22×C4—22no—
1281C22×C4—22no—
1282C22×C4—22no—
1283C22×C4—22no—
1284C22×C4—22no—
1285C22×C4—24no—
1286C22×C4—22no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—24no—
1293C22×C4—24no—
1294C22×C4—28no—
1295C22×C4—28no—
1296C22×C4—24no—
1297C22×C4—24no—
1298C22×C4—28no—
1299C22×C4—24no—
1300C22×C4—24no—
1301C22×C4—28no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—42no—
1310C22×C4—44no—
1311C22×C4—42no—
1312C22×C4—42no—
1313C22×C4—42no—
1314C22×C4—42no—
1315C22×C4—42no—
1316C22×C4—42no—
1317C22×C4—42no—
1318C22×C4—42no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—44no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—44no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—44no—
1329C22×C4—44no—
1330C22×C4—44no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—416no—
1336C22×C4—416no—
1337C22×C4—88no—
1338C22×C4—88no—
1339C22×C4—88no—
1340C22×C4—88no—
1341C22×C4C22×D414yes—
1342C22×C4C22×D414yes—
1343C22×C4C22×D414yes—
1344C22×C4C22×D414yes—
1345C22×C4C22×D414yes—
1346C22×C4C22×D414yes—
1347C22×C4C2514yes—
1348C22×C4C2514yes—
1349C22×C4C2514yes—
1350C22×C4C2512yes—
1351C22×C4C2514yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2511yescharacteristic
1364C22×C4C2512yes—
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2512yes—
1369C22×C4C2512yes—
1370C22×C4C2511yescharacteristic
1371C22×C4C2512yes—
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—28no—
1375C4⋊C4—28no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—28no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—28no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—24no—
1393C4⋊C4—24no—
1394C4⋊C4—24no—
1395C4⋊C4—22no—
1396C4⋊C4—24no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—22no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—22no—
1405C4⋊C4—24no—
1406C4⋊C4—22no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—28no—
1410C4⋊C4—28no—
1411C4⋊C4—28no—
1412C4⋊C4—44no—
1413C4⋊C4—44no—
1414C4⋊C4—44no—
1415C4⋊C4—44no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—42no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—42no—
1425C4⋊C4—42no—
1426C4⋊C4—42no—
1427C4⋊C4—44no—
1428C4⋊C4—44no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4C22×D418yes—
1432C4⋊C4C22×D418yes—
1433C4⋊C4C22×D418yes—
1434C4⋊C4C22×D418yes—
1435C4⋊C4C22×D418yes—
1436C4⋊C4C22×D418yes—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—28no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—28no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—28no—
1459C22⋊C4—28no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—28no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—44no—
1494C22⋊C4—44no—
1495C22⋊C4—44no—
1496C22⋊C4C22×D418yes—
1497C22⋊C4C22×D418yes—
1498C22⋊C4C22×D418yes—
1499C22⋊C4C22×D418yes—
1500C22⋊C4C22×D418yes—
1501C22⋊C4C22×D418yes—
1502C42—24no—
1503C42—24no—
1504C42—28no—
1505C42—24no—
1506C42—24no—
1507C42—24no—
1508C42—24no—
1509C42—24no—
1510C42—24no—
1511C42—24no—
1512C42—44no—
1513C42—44no—
1514C42—44no—
1515C42—44no—
1516C42—44no—
1517C42C22×D414yes—
1518C42C22×D414yes—
1519C42C22×D414yes—
1520C42C22×D414yes—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—24no—
1526C23—22no—
1527C23—24no—
1528C23—22no—
1529C23—24no—
1530C23—24no—
1531C23—28no—
1532C23—28no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—22no—
1538C23—22no—
1539C23—24no—
1540C23—22no—
1541C23—24no—
1542C23—22no—
1543C23—22no—
1544C23—22no—
1545C23—22no—
1546C23—22no—
1547C23—24no—
1548C23—24no—
1549C23—22no—
1550C23—48no—
1551C23—44no—
1552C23—44no—
1553C23—44no—
1554C23—44no—
1555C23—48no—
1556C23—44no—
1557C23—44no—
1558C23—44no—
1559C23—44no—
1560C23—44no—
1561C23—44no—
1562C23—84no—
1563C23—84no—
1564C23—84no—
1565C23—84no—
1566C23—84no—
1567C23—84no—
1568C23C23×D414yes—
1569C23C23×D412yes—
1570C23C2×2−1+414yes—
1571C23C2×2−1+412yes—
1572C23#58512yes—
1573C23C2611yescharacteristic
1574Q8—84no—
1575Q8—82no—
1576Q8—82no—
1577Q8—82no—
1578Q8—84no—
1579Q8—84no—
1580D4—48no—
1581D4—416no—
1582D4—48no—
1583D4—416no—
1584D4—416no—
1585D4—416no—
1586D4—48no—
1587D4—82no—
1588D4—88no—
1589D4—84no—
1590D4—84no—
1591D4—88no—
1592D4—88no—
1593D4—164no—
1594C2×C4—28no—
1595C2×C4—22no—
1596C2×C4—21no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—22no—
1601C2×C4—24no—
1602C2×C4—21no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—22no—
1609C2×C4—28no—
1610C2×C4—28no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—22no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—24no—
1627C2×C4—24no—
1628C2×C4—24no—
1629C2×C4—24no—
1630C2×C4—24no—
1631C2×C4—22no—
1632C2×C4—24no—
1633C2×C4—24no—
1634C2×C4—24no—
1635C2×C4—24no—
1636C2×C4—22no—
1637C2×C4—24no—
1638C2×C4—24no—
1639C2×C4—24no—
1640C2×C4—24no—
1641C2×C4—24no—
1642C2×C4—24no—
1643C2×C4—24no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—24no—
1647C2×C4—22no—
1648C2×C4—44no—
1649C2×C4—44no—
1650C2×C4—44no—
1651C2×C4—44no—
1652C2×C4—416no—
1653C2×C4—48no—
1654C2×C4—48no—
1655C2×C4—44no—
1656C2×C4—44no—
1657C2×C4—44no—
1658C2×C4—44no—
1659C2×C4—84no—
1660C2×C4—84no—
1661C2×C4—84no—
1662C2×C4—84no—
1663C2×C4—84no—
1664C2×C4—84no—
1665C2×C4—84no—
1666C2×C4—88no—
1667C2×C4—84no—
1668C2×C4—84no—
1669C2×C4—88no—
1670C2×C4—88no—
1671C2×C4C23×D412yes—
1672C2×C4C23×D414yes—
1673C2×C4C23×D412yes—
1674C2×C4C23×D412yes—
1675C2×C4C23×D412yes—
1676C2×C4C23×D414yes—
1677C2×C4C23×D414yes—
1678C2×C4C23×D412yes—
1679C2×C4C23×D412yes—
1680C2×C4#58514yes—
1681C22—22no—
1682C22—22no—
1683C22—24no—
1684C22—24no—
1685C22—24no—
1686C22—24no—
1687C22—24no—
1688C22—24no—
1689C22—28no—
1690C22—416no—
1691C22—42no—
1692C22—42no—
1693C22—44no—
1694C22—44no—
1695C22—44no—
1696C22—42no—
1697C22—42no—
1698C22—42no—
1699C22—42no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22—42no—
1704C22—42no—
1705C22—44no—
1706C22—42no—
1707C22—44no—
1708C22—42no—
1709C22—44no—
1710C22—44no—
1711C22—42no—
1712C22—42no—
1713C22—88no—
1714C22—88no—
1715C22—88no—
1716C22#348914yes—
1717C22C24×D411yescharacteristic
1718C22C22×2−1+411yescharacteristic
1719C22C2×#58511yescharacteristic
1720C22C2×#58512yes—
1721C22H(7,𝔽2)12yes—
1722C4—22no—
1723C4—24no—
1724C4—22no—
1725C4—24no—
1726C4—24no—
1727C4—22no—
1728C4—22no—
1729C4—22no—
1730C4—22no—
1731C4—24no—
1732C4—42no—
1733C4—42no—
1734C4—42no—
1735C4—42no—
1736C4—42no—
1737C4—42no—
1738C4—42no—
1739C4—42no—
1740C4—42no—
1741C4—42no—
1742C4—42no—
1743C4—44no—
1744C4—44no—
1745C4—44no—
1746C4—44no—
1747C2—24no—
1748C2—44no—
1749C2—44no—
1750C2—82no—
1751C2—82no—
1752C2—82no—
1753C2C2×#348911yescharacteristic
1754C2#6281111yescharacteristic
1755C2#6285211yescharacteristic
1756C2#6290212yes—
1757C2#6293512yes—
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×#3564C2semidirect
2. C22×#553C2semidirect
3. #51320C2semidirect
4. #51318C2semidirect
5. #51204C2semidirect
6. #51202C2semidirect
7. #44785C2semidirect
8. #44209C2semidirect
9. #44206C2semidirect
10. #44187C2semidirect
11. #39467C2semidirect
12. #39460C2semidirect
13. #39460C2semidirect
14. #39116C2semidirect
15. #38045C2semidirect
16. #38039C2semidirect
17. #36971C2semidirect
18. #36962C2semidirect
19. #36718C2semidirect
20. #36706C2semidirect
21. #36546C2semidirect
22. #36317C2semidirect
23. #35325C2semidirect
24. #35302C2semidirect
25. #35174C2semidirect
26. #35172C2semidirect
27. #34987C2semidirect
28. #34986C2semidirect
29. #34985C2semidirect
30. #34593C2semidirect
31. #34381C2semidirect
33. C2×#563C22semidirect
34. C2×#563C22semidirect
35. C2×#556C22semidirect
43. C2×#552C22semidirect
48. C2×#542C22semidirect
49. C2×#541C22semidirect
50. C2×#541C22semidirect
52. C2×#539C22semidirect
85. #2727C22semidirect
86. #2726C22semidirect
87. #2725C22semidirect
88. #2725C22semidirect
89. #2721C22semidirect
90. #2721C22semidirect
91. #2720C22semidirect
92. #2719C22semidirect
93. #2718C22semidirect
94. #2718C22semidirect
95. #2716C22semidirect
96. #2716C22semidirect
97. #2714C22semidirect
98. #2714C22semidirect
99. #2711C22semidirect
100. #2711C22semidirect
101. #2710C22semidirect
102. #2707C22semidirect
103. #2706C22semidirect
104. #2705C22semidirect
105. #2703C22semidirect
106. #2703C22semidirect
107. #2702C22semidirect
108. #2696C22semidirect
109. #2691C22semidirect
110. #2691C22semidirect
111. #2691C22semidirect
112. #2681C22semidirect
113. #2681C22semidirect
114. #2681C22semidirect
115. #2681C22semidirect
116. #2681C22semidirect
117. #2676C22semidirect
118. #2676C22semidirect
119. #2676C22semidirect
120. #2675C22semidirect
121. #2674C22semidirect
122. #2672C22semidirect
123. #2672C22semidirect
124. #2671C22semidirect
125. #2636C22semidirect
126. #2633C22semidirect
127. #2631C22semidirect
128. #2629C22semidirect
129. #2628C22semidirect
139. #2621C22semidirect
140. #2620C22semidirect
146. #2611C22semidirect
147. #2609C22semidirect
148. #2601C22semidirect
149. #2599C22semidirect
152. #2580C22semidirect
153. #2580C22semidirect
156. #2566C22semidirect
157. #2563C22semidirect
160. #2559C22semidirect
161. #2559C22semidirect
162. #2558C22semidirect
163. #2542C22semidirect
164. #2540C22semidirect
165. #2538C22semidirect
168. #2519C22semidirect
169. #2506C22semidirect
171. #2501C22semidirect
172. #2490C22semidirect
173. #2488C22semidirect
179. #2476C22semidirect
180. #2476C22semidirect
181. #2475C22semidirect
182. #2473C22semidirect
183. #2473C22semidirect
184. #2468C22semidirect
185. #2467C22semidirect
186. #2466C22semidirect
187. #2466C22semidirect
188. #2464C22semidirect
189. #2464C22semidirect
190. #2463C22semidirect
191. #2462C22semidirect
192. #2461C22semidirect
193. #2461C22semidirect
194. #2460C22semidirect
195. #2459C22semidirect
196. #2458C22semidirect
197. #2456C22semidirect
198. #2456C22semidirect
199. #2456C22semidirect
200. #2456C22semidirect
201. #2455C22semidirect
202. #2455C22semidirect
203. #2454C22semidirect
204. #2454C22semidirect
205. #2452C22semidirect
206. #2452C22semidirect
207. #2450C22semidirect
208. #2450C22semidirect
209. #2449C22semidirect
210. #2449C22semidirect
211. #2449C22semidirect
212. #2449C22semidirect
213. #2449C22semidirect
214. #2443C22semidirect
215. #2440C22semidirect
217. #2426C22semidirect
218. #2425C22semidirect
219. #2425C22semidirect
220. #2417C22semidirect
221. #2414C22semidirect
224. #2413C22semidirect
232. #2398C22semidirect
233. #2397C22semidirect
234. #2392C22semidirect
235. #2383C22semidirect
236. #2373C22semidirect
237. #2361C22semidirect
238. #2360C22semidirect
239. #2359C22semidirect
240. D4×C4⋊C4C22semidirect
245. #2334C22semidirect
246. #2334C22semidirect
247. #2324C22semidirect
248. #2323C22semidirect
249. #2323C22semidirect
250. #2323C22semidirect
309. 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×#5532
#513202
#513182
#512042
#512022
#447852
#442092
#442062
#441872
#394672
#394602
#391162
#380452
#380392
#369712
#369622
#367182
#367062
#365462
#363172
#353252
#353022
#351742
#351722
#349872
#349862
#349852
#345932
#343812