Finite Group Databasebeta

← #7715907

Subgroups — #7715907

Order 512.

7210 conjugacy classes of subgroups.

The subgroup lattice has 1782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3535C211yesmaximal, characteristic, complemented
2C22×#551C211yesmaximal, characteristic, complemented
3#50180C214yesmaximal, complemented
4#48834C214yesmaximal, complemented
5#48831C214yesmaximal, complemented
6#48789C214yesmaximal, complemented
7#44759C214yesmaximal, complemented
8#43979C214yesmaximal, complemented
9#43976C214yesmaximal, complemented
10#43935C214yesmaximal, complemented
11#39594C212yesmaximal, complemented
12#39117C212yesmaximal, complemented
13#38039C212yesmaximal, complemented
14#38037C212yesmaximal, complemented
15#37842C212yesmaximal, complemented
16#37832C212yesmaximal, complemented
17#36971C211yesmaximal, characteristic, complemented
18#36966C211yesmaximal, characteristic, complemented
19#36962C211yesmaximal, characteristic, complemented
20#36957C211yesmaximal, characteristic, complemented
21#36237C212yesmaximal, complemented
22#36158C212yesmaximal, complemented
23#35311C211yesmaximal, characteristic, complemented
24#35263C211yesmaximal, characteristic, complemented
25#35151C211yesmaximal, characteristic, complemented
26#35094C211yesmaximal, characteristic, complemented
27#35050C211yesmaximal, characteristic, complemented
28#34986C211yesmaximal, characteristic, complemented
29#34985C211yesmaximal, characteristic, complemented
30C2×#2626C211yesmaximal, characteristic, complemented
31#34376C211yesmaximal, characteristic, complemented
32#3535—216no—
33C2×#563C2212yescomplemented
34C2×#562C2212yescomplemented
35C2×#554C2212yescomplemented
36C2×#552C2212yescomplemented
37C2×#551—216no—
38C2×#551C2212yes—
39C2×#551C2214yes—
40C2×#551C2214yes—
41C2×#551C2214yes—
42C2×#551C2214yes—
43C2×#551C2212yescomplemented
44C2×#547C2212yescomplemented
45C2×#546C2212yes—
46C2×#544C2211yescharacteristic, complemented
47C2×#543C2211yescharacteristic, complemented
48C2×#542C2212yescomplemented
49C2×#539C2211yescharacteristic, complemented
50C2×#539C2212yescomplemented
51C2×#539C2212yescomplemented
52C2×#538C2211yescharacteristic, complemented
53C2×#536C2212yescomplemented
54C22×#126C2211yescharacteristic
55C22×#126C2211yescharacteristic
56C22×#124C2211yescharacteristic
57C2×#525C2211yescharacteristic
58C22×#123C2211yescharacteristic
59C22×#123C2211yescharacteristic
60C22×#123C2211yescharacteristic
61C22×C22⋊Q8C2211yescharacteristic
62C22×C22⋊Q8C2211yescharacteristic
63C22×C22⋊Q8C2211yescharacteristic
64C22×#120C2211yescharacteristic
65C22×C4×D4C2211yescharacteristic
66C22×C4×D4C2211yescharacteristic
67C22×#117C2211yescharacteristic
68C22×#117C2211yescharacteristic
69C23×C22⋊C4C2211yescharacteristic
70C23×C22⋊C4C2211yescharacteristic
71#2855C2211yescharacteristic, complemented
72#2855C2211yescharacteristic, complemented
73#2855C2211yescharacteristic, complemented
74#2855C2212yescomplemented
75#2855C2211yescharacteristic, complemented
76#2855C2211yescharacteristic, complemented
77#2855C2211yescharacteristic, complemented
78#2854C2211yescharacteristic, complemented
79#2854C2211yescharacteristic, complemented
80#2849C2212yes—
81#2849C2212yes—
82#2849C2212yescomplemented
83#2848C2212yes—
84#2846C2212yes—
85#2727C2214yescomplemented
86#2725C2214yescomplemented
87#2725C2214yescomplemented
88#2723C2214yescomplemented
89#2721C2214yescomplemented
90#2721C2214yescomplemented
91#2720C2214yescomplemented
92#2720C2214yescomplemented
93#2718C2214yescomplemented
94#2718C2214yescomplemented
95#2716C2214yescomplemented
96#2716C2214yescomplemented
97#2716C2214yescomplemented
98#2715C2214yescomplemented
99#2712C2214yescomplemented
100#2710C2214yescomplemented
101#2706C2214yescomplemented
102#2706C2214yescomplemented
103#2705C2214yescomplemented
104#2702C2214yescomplemented
105#2702C2214yescomplemented
106#2700C2214yescomplemented
107#2700C2214yescomplemented
108#2698C2214yescomplemented
109#2697C2214yes—
110#2695C2214yescomplemented
111#2693C2214yescomplemented
112#2692C2214yescomplemented
113#2692C2214yescomplemented
114#2689C2214yescomplemented
115#2687C2214yescomplemented
116#2684C2214yes—
117#2680C2214yescomplemented
118#2678C2214yes—
119#2676C2214yescomplemented
120#2674C2214yescomplemented
121#2674C2214yescomplemented
122#2674C2214yescomplemented
123#2672C2214yescomplemented
124#2668C2214yes—
125#2627C2212yescomplemented
126#2626C2211yescharacteristic
127#2626C2211yescharacteristic
128#2626C2211yescharacteristic
129#2626C2212yes—
130#2626C2211yescharacteristic
131#2626C2211yescharacteristic
132#2626C2211yescharacteristic
133#2626C2212yes—
134#2626C2212yes—
135#2626C2212yescomplemented
136#2626C2212yescomplemented
137#2626C2214yescomplemented
138#2625C2212yescomplemented
139#2625C2212yescomplemented
140#2625C2212yescomplemented
141#2624C2212yescomplemented
142#2623C2212yescomplemented
143#2617C2211yescharacteristic
144#2617C2211yescharacteristic
145#2613C2212yes—
146#2561C2212yes—
147#2561C2212yes—
148#2561C2212yescomplemented
149#2560C2214yescomplemented
150#2557C2214yescomplemented
151#2553C2214yescomplemented
152#2542C2214yescomplemented
153#2539C2212yescomplemented
154#2534C2212yes—
155#2534C2212yes—
156#2534C2214yes—
157#2534C2214yescomplemented
158#2519C2214yescomplemented
159#2503C2212yescomplemented
160#2502C2212yescomplemented
161#2502C2212yescomplemented
162#2501C2214yescomplemented
163#2499C2214yescomplemented
164#2498C2214yescomplemented
165#2492C2214yescomplemented
166#2488C2214yescomplemented
167#2488C2214yescomplemented
168#2487C2212yescomplemented
169#2487C2212yescomplemented
170#2486C2212yescomplemented
171#2485C2214yescomplemented
172#2484C2212yescomplemented
173#2484C2214yescomplemented
174#2483C2212yes—
175#2483C2212yes—
176#2483C2212yescomplemented
177#2482C2212yes—
178#2482C2212yescomplemented
179#2481C2214yescomplemented
180#2480C2214yescomplemented
181#2480C2214yescomplemented
182#2479C2214yescomplemented
183#2477C2214yescomplemented
184#2475C2214yescomplemented
185#2472C2214yescomplemented
186#2471C2214yescomplemented
187#2470C2214yescomplemented
188#2469C2214yescomplemented
189#2466C2214yescomplemented
190#2459C2214yescomplemented
191#2457C2214yescomplemented
192#2456C2214yescomplemented
193#2455C2214yescomplemented
194#2450C2214yescomplemented
195#2450C2214yescomplemented
196#2449C2214yescomplemented
197#2449C2214yescomplemented
198#2449C2214yescomplemented
199#2447C2214yescomplemented
200#2443C2214yescomplemented
201#2443C2214yescomplemented
202#2441C2214yescomplemented
203#2441C2214yescomplemented
204#2440C2214yescomplemented
205#2439C2214yescomplemented
206#2439C2214yescomplemented
207#2438C2214yescomplemented
208#2437C2214yescomplemented
209#2434C2212yescomplemented
210#2429C2214yescomplemented
211#2425C2214yescomplemented
212#2424C2214yes—
213#2422C2214yescomplemented
214#2419C2214yescomplemented
215#2419C2214yescomplemented
216#2418C2214yes—
217#2418C2214yescomplemented
218#2417C2214yescomplemented
219#2413C2212yescomplemented
220#2413C2214yescomplemented
221#2412C2212yes—
222#2412C2212yes—
223#2412C2214yescomplemented
224#2412C2212yescomplemented
225#2411C2212yes—
226#2411C2214yescomplemented
227#2410C2212yes—
228#2409C2212yescomplemented
229#2405C2212yes—
230#2404C2214yes—
231#2404C2212yescomplemented
232C2×#399C2212yescomplemented
233C2×#396C2214yescomplemented
234C2×#393C2212yescomplemented
235#2376C2214yescomplemented
236#2359C2214yescomplemented
237#2358C2214yescomplemented
238D4×C4⋊C4C2214yescomplemented
239#2345C2212yescomplemented
240#2342C2212yes—
241#2342C2214yescomplemented
242#2342C2212yescomplemented
243#2339C2214yescomplemented
244D4×C22⋊C4C2212yes—
245#2335C2214yescomplemented
246#2322C2214yescomplemented
247#2322C2212yescomplemented
248#2321C2212yes—
249#2321C2212yes—
250#2321C2212yes—
251#2317C2212yescomplemented
252#2317C2212yescomplemented
253#2316C2211yescharacteristic, complemented
254#2316C2212yescomplemented
255#2315C2211yescharacteristic, complemented
256#2313C2211yescharacteristic, complemented
257#2312C2211yescharacteristic, complemented
258#2311C2212yescomplemented
259#2310C2212yescomplemented
260#2308C2212yes—
261C4×#123C2212yescomplemented
262C4×#120C2212yes—
263C2×#385C2212yes—
264C2×#385C2212yescomplemented
265#2280C2212yes—
266#2280C2211yescharacteristic
267C2×#380C2211yescharacteristic
268C2×#379C2212yes—
269C26C2311yescharacteristic
270C22×#41C2311yescharacteristic
271C22×#41C2312yes—
272C23×Q8C2311yescharacteristic
273C23×Q8C2311yescharacteristic
274C23×D4C2311yescharacteristic
275C23×D4C2311yescharacteristic
276C23×D4C2311yescharacteristic
277C24×C4C2311yescharacteristic
278C24×C4C2311yescharacteristic
279C24×C4C2311yescharacteristic
280C24×C4C2311yescharacteristic
281C24×C4C2311yescharacteristic
282#563—216no—
283#562—216no—
284#554—216no—
285#552—216no—
286#551—232no—
287#551—232no—
288#551—232no—
289#551—232no—
290#551—216no—
291#551—216no—
292#547—216no—
293#546—216no—
294#544—28no—
295#543—28no—
296#542—216no—
297#539—216no—
298#539—216no—
299#539—28no—
300#538—28no—
301#536—216no—
302C2×C4⋊Q8C2312yescomplemented
303C2×C4⋊Q8C2312yescomplemented
304C2×C4⋊Q8C2312yescomplemented
305C2×C4⋊Q8C2314yescomplemented
306C2×#126—28no—
307C2×#126—28no—
308C2×#126C2314yes—
309C2×#126C2314yes—
310C2×#126C2314yes—
311C2×#126C2314yes—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#126C2312yescomplemented
315C2×#126C2312yescomplemented
316C2×#126C2312yescomplemented
317C2×#126C2312yescomplemented
318C2×#125C2312yescomplemented
319C2×#125C2312yescomplemented
320C2×#125C2312yescomplemented
321C2×#125C2312yescomplemented
322C2×#125C2312yescomplemented
323C2×#124—28no—
324C2×#124C2314yes—
325C2×#124C2314yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2312yescomplemented
329C2×#124C2312yescomplemented
330#525—28no—
331C2×#123—28no—
332C2×#123—28no—
333C2×#123D4116yescomplemented
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2312yes—
340C2×#123C2312yes—
341C2×#123C2312yes—
342C2×#123C2312yes—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2312yes—
349C2×#123C2312yes—
350C2×#123C2312yes—
351C2×#123C2312yes—
352C2×#123C2312yescomplemented
353C2×#123C2312yescomplemented
354C2×#123C2312yescomplemented
355C2×#123C2312yescomplemented
356C2×#123C2314yescomplemented
357C2×C22⋊Q8—28no—
358C2×C22⋊Q8—28no—
359C2×C22⋊Q8—28no—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2311yescharacteristic
364C2×C22⋊Q8C2311yescharacteristic
365C2×C22⋊Q8C2311yescharacteristic
366C2×C22⋊Q8C2311yescharacteristic
367C2×C22⋊Q8C2311yescharacteristic
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2314yes—
371C2×C22⋊Q8C2314yes—
372C2×C22⋊Q8C2314yes—
373C2×C22⋊Q8C2314yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2314yes—
376C2×C22⋊Q8C2312yescomplemented
377C2×C22⋊Q8C2312yescomplemented
378C2×C22⋊Q8C2312yescomplemented
379C2×C22⋊Q8C2312yescomplemented
380C2×C22⋊Q8C2312yescomplemented
381C2×C22⋊Q8C2312yescomplemented
382C2×C22⋊Q8C2312yescomplemented
383C2×C22⋊Q8C2312yescomplemented
384C2×C22⋊Q8C2312yescomplemented
385C2×C22⋊Q8C2314yescomplemented
386C2×#121C2311yescharacteristic
387C2×#121C2311yescharacteristic
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2314yes—
392C2×#121C2312yescomplemented
393C2×#120—28no—
394C2×#120C2312yes—
395C2×#120C2312yes—
396C2×#120C2312yes—
397C2×#120C2314yes—
398C2×#120C2314yes—
399C2×#120C2312yes—
400C2×#120C2314yes—
401C2×#120C2314yes—
402C2×C4×Q8C2312yescomplemented
403C2×C4×D4—28no—
404C2×C4×D4—28no—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2314yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2314yes—
412C2×C4×D4C2314yes—
413C2×C4×D4C2314yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2314yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2312yescomplemented
418C2×#117—28no—
419C2×#117—28no—
420C2×#117C2312yes—
421C2×#117C2312yes—
422C2×#117C2311yescharacteristic
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2314yes—
428C2×#117C2314yes—
429C2×#117C2312yes—
430C2×#117C2312yes—
431C2×#117C2312yescomplemented
432C22×C4⋊C4C2311yescharacteristic
433C22×C4⋊C4C2311yescharacteristic
434C22×C4⋊C4C2311yescharacteristic
435C22×C4⋊C4C2312yes—
436C22×C4⋊C4C2311yescharacteristic
437C22×C4⋊C4C2311yescharacteristic
438C22×C4⋊C4C2311yescharacteristic
439C22×C4⋊C4C2311yescharacteristic
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2314yes—
442C22×C4⋊C4C2311yescharacteristic
443C22×C4⋊C4C2311yescharacteristic
444C22×C4⋊C4C2312yescomplemented
445C22×C4⋊C4C2314yescomplemented
446C22×C22⋊C4—28no—
447C22×C22⋊C4—28no—
448C22×C22⋊C4C2311yescharacteristic
449C22×C22⋊C4C2311yescharacteristic
450C22×C22⋊C4C2312yes—
451C22×C22⋊C4C2312yes—
452C22×C22⋊C4C2311yescharacteristic
453C22×C22⋊C4C2311yescharacteristic
454C22×C22⋊C4C2311yescharacteristic
455C22×C22⋊C4C2314yes—
456C22×C22⋊C4C2311yescharacteristic
457C22×C22⋊C4C2311yescharacteristic
458C22×C22⋊C4C2312yes—
459C22×C22⋊C4C2312yes—
460C22×C22⋊C4C2312yes—
461C22×C22⋊C4C2311yescharacteristic
462C22×C22⋊C4C2311yescharacteristic
463C22×C22⋊C4C2314yes—
464C22×C22⋊C4C2311yescharacteristic
465C22×C22⋊C4C2311yescharacteristic
466C22×C22⋊C4C2312yes—
467C22×C22⋊C4C2312yes—
468C22×C22⋊C4C2312yes—
469C22×C22⋊C4C2314yes—
470C22×C22⋊C4C2314yes—
471C22×C22⋊C4C2311yescharacteristic
472C22×C22⋊C4C2311yescharacteristic
473C22×C22⋊C4C2311yescharacteristic
474C22×C42C2311yescharacteristic
475C22×C42C2311yescharacteristic
476C22×C42C2311yescharacteristic
477#400C2314yescomplemented
478#400C2314yescomplemented
479#400C2314yescomplemented
480#400C2314yescomplemented
481#400C2314yescomplemented
482#400C2314yescomplemented
483#400C2314yescomplemented
484#399C2312yes—
485#399C2312yes—
486#399C2312yes—
487#399C2312yes—
488#399C2314yes—
489#399C2314yes—
490#399C2314yes—
491#399C2312yes—
492#399C2312yes—
493#399C2314yes—
494#399C2314yescomplemented
495#399C2314yescomplemented
496#399C2314yescomplemented
497#398C2314yescomplemented
498#398C2314yescomplemented
499#398C2314yescomplemented
500#398C2314yescomplemented
501#398C2314yescomplemented
502#398C2314yescomplemented
503#398C2314yescomplemented
504#398C2314yescomplemented
505#398C2314yescomplemented
506#398C2314yescomplemented
507#397C2314yes—
508#397C2314yes—
509#397C2312yes—
510#397C2312yes—
511#397C2314yes—
512#397C2314yes—
513#397C2314yes—
514#397C2314yes—
515#397C2314yes—
516#397C2314yes—
517#397C2314yes—
518#397C2314yescomplemented
519#397C2314yescomplemented
520#397C2314yescomplemented
521#397C2314yescomplemented
522#397C2314yescomplemented
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2314yes—
534#396C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2314yescomplemented
539#395C2314yescomplemented
540#395C2314yescomplemented
541#395C2314yescomplemented
542#395C2314yescomplemented
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#394C2314yescomplemented
556#393C2314yes—
557#393C2314yes—
558#393C2314yes—
559#393C2312yes—
560#393C2312yes—
561#393C2314yes—
562#393C2312yes—
563#393C2312yes—
564#393C2312yes—
565#393C2312yes—
566#393C2314yes—
567#393C2314yescomplemented
568#392C2314yes—
569#392C2314yes—
570#392C2312yes—
571#392C2312yes—
572#392C2314yes—
573#391C2314yescomplemented
574#391C2312yescomplemented
575#391C2312yescomplemented
576#391C2312yescomplemented
577#391C2312yescomplemented
578#391C2314yescomplemented
579#391C2312yescomplemented
580#391C2312yescomplemented
581#391C2314yescomplemented
582#391C2314yescomplemented
583#391C2314yescomplemented
584#391C2314yescomplemented
585#390C2314yes—
586#390C2314yes—
587#390C2314yes—
588#390C2314yes—
589#390C2314yes—
590#390C2312yescomplemented
591#390C2312yescomplemented
592#389C2314yescomplemented
593#389C2312yescomplemented
594#389C2312yescomplemented
595#389C2312yescomplemented
596#389C2312yescomplemented
597#389C2314yescomplemented
598#389C2314yescomplemented
599#389C2314yescomplemented
600#389C2312yescomplemented
601#389C2312yescomplemented
602#389C2312yescomplemented
603#389C2312yescomplemented
604#389C2314yescomplemented
605#389C2314yescomplemented
606#389C2314yescomplemented
607#389C2314yescomplemented
608#389C2314yescomplemented
609#389C2314yescomplemented
610#389C2314yescomplemented
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#388C2314yes—
628#388C2314yescomplemented
629#388C2314yescomplemented
630#388C2314yescomplemented
631#388C2314yescomplemented
632#388C2314yescomplemented
633#388C2314yescomplemented
634#388C2314yescomplemented
635#388C2314yescomplemented
636#388C2314yescomplemented
637#387C2314yescomplemented
638#387C2314yescomplemented
639#387C2314yescomplemented
640#387C2314yescomplemented
641#387C2314yescomplemented
642#387C2314yescomplemented
643#387C2314yescomplemented
644#387C2314yescomplemented
645#387C2314yescomplemented
646#387C2314yescomplemented
647#387C2314yescomplemented
648#387C2314yescomplemented
649#387C2314yescomplemented
650#387C2314yescomplemented
651#387C2314yescomplemented
652#387C2314yescomplemented
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2312yes—
661#386C2312yes—
662#386C2312yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2312yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yescomplemented
677#386C2314yescomplemented
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#385C2312yes—
682#385C2314yes—
683#385C2314yes—
684#385C2312yes—
685#385C2312yes—
686#385C2314yes—
687#385C2314yes—
688#385C2312yes—
689#385C2312yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2312yes—
695#385C2312yes—
696#385C2312yes—
697#385C2312yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yescomplemented
702#385C2314yescomplemented
703#385C2314yescomplemented
704#385C2314yescomplemented
705#385C2314yescomplemented
706#385C2314yescomplemented
707#385C2314yescomplemented
708#385C2314yescomplemented
709#384C2314yescomplemented
710#384C2314yescomplemented
711#384C2314yescomplemented
712#382C2314yescomplemented
713#382C2314yescomplemented
714#381C2312yes—
715#381C2312yes—
716#381C2312yes—
717#381C2312yes—
718#381C2314yes—
719#381C2312yes—
720#381C2314yes—
721#381C2314yes—
722#381C2312yes—
723#381C2312yes—
724#381C2312yes—
725#381C2314yescomplemented
726#381C2314yescomplemented
727#380C2311yescharacteristic
728#380C2311yescharacteristic
729#380C2311yescharacteristic
730#380C2311yescharacteristic
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2314yes—
735#380C2312yes—
736#380C2314yes—
737#380C2312yes—
738#380C2312yes—
739#380C2312yes—
740#380C2314yes—
741#380C2314yes—
742#380C2314yescomplemented
743#380C2314yescomplemented
744#380C2314yescomplemented
745#380C2314yescomplemented
746#379C2312yes—
747#379C2312yes—
748#379C2312yes—
749#379C2314yes—
750#379C2312yes—
751#379C2312yes—
752#379C2312yes—
753#379C2312yes—
754#379C2314yes—
755#379C2312yes—
756#379C2314yes—
757#379C2314yes—
758C4×C4⋊C4C2314yescomplemented
759C4×C4⋊C4C2314yescomplemented
760C4×C22⋊C4C2312yes—
761C4×C22⋊C4C2312yes—
762C4×C22⋊C4C2312yes—
763C4×C22⋊C4C2312yes—
764C4×C22⋊C4C2314yes—
765C4×C22⋊C4C2314yes—
766C4×C22⋊C4C2314yes—
767C4×C22⋊C4C2314yes—
768C4×C22⋊C4C2314yescomplemented
769C4×C22⋊C4C2314yescomplemented
770C2×#95C2314yes—
771C2×#95C2312yes—
772C2×#95C2314yescomplemented
773C25—24no—
774C25—24no—
775C25—42no—
776C25—44no—
777C25—82no—
778C25C2412yes—
779C25C2411yescharacteristic
780C25C2411yescharacteristic
781C25C2412yes—
782C25C2411yescharacteristic
783C25C2411yescharacteristic
784C2×#41—28no—
785C2×#41—24no—
786C2×#41—44no—
787C2×#41—48no—
788C22×Q8—24no—
789C22×Q8—24no—
790C22×Q8—44no—
791C22×Q8—82no—
792C22×Q8C2412yes—
793C22×Q8C2414yes—
794C22×Q8C2411yescharacteristic
795C22×Q8C2412yes—
796C22×Q8C2411yescharacteristic
797C22×Q8C2411yescharacteristic
798C22×Q8C2412yes—
799C22×D4—24no—
800C22×D4—24no—
801C22×D4—24no—
802C22×D4—42no—
803C22×D4—44no—
804C22×D4—82no—
805C22×D4C2×D418yes—
806C22×D4C2412yes—
807C22×D4C2412yes—
808C22×D4C2414yes—
809C22×D4C2412yes—
810C22×D4C2412yes—
811C22×D4C2414yes—
812C22×D4C2412yes—
813C22×D4C2414yes—
814C22×D4C2412yes—
815C22×D4C2411yescharacteristic
816C22×D4C2414yes—
817C22×D4C2412yes—
818C23×C4—24no—
819C23×C4—24no—
820C23×C4—24no—
821C23×C4—24no—
822C23×C4—24no—
823C23×C4—44no—
824C23×C4—42no—
825C23×C4—82no—
826C23×C4—82no—
827C23×C4—82no—
828C23×C4C2×D418yes—
829C23×C4C2412yes—
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2414yes—
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C23×C4C2414yes—
838C23×C4C2411yescharacteristic
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2414yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2414yes—
849C23×C4C2412yes—
850C23×C4C2412yes—
851C23×C4C2414yes—
852C23×C4C2411yescharacteristic
853C23×C4C2411yescharacteristic
854C23×C4C2411yescharacteristic
855C23×C4C2411yescharacteristic
856C23×C4C2411yescharacteristic
857C23×C4C2411yescharacteristic
858C4⋊Q8—28no—
859C4⋊Q8—28no—
860C4⋊Q8—28no—
861C4⋊Q8—84no—
862#126—216no—
863#126—216no—
864#126—216no—
865#126—216no—
866#126—28no—
867#126—28no—
868#126—28no—
869#126—28no—
870#126—28no—
871#126—28no—
872#125—28no—
873#125—28no—
874#125—28no—
875#125—28no—
876#125—28no—
877#124—28no—
878#124—216no—
879#124—216no—
880#124—28no—
881#124—28no—
882#124—28no—
883#123—28no—
884#123—28no—
885#123—28no—
886#123—28no—
887#123—28no—
888#123—216no—
889#123—216no—
890#123—216no—
891#123—216no—
892#123—28no—
893#123—28no—
894#123—28no—
895#123—28no—
896#123—28no—
897#123—44no—
898#123—44no—
899#123—84no—
900#123—84no—
901#123—84no—
902#123C2×D4116yes—
903#123C2×D4116yes—
904#123C2×D4116yes—
905#123C2×D4116yes—
906C22⋊Q8—24no—
907C22⋊Q8—24no—
908C22⋊Q8—24no—
909C22⋊Q8—24no—
910C22⋊Q8—28no—
911C22⋊Q8—28no—
912C22⋊Q8—24no—
913C22⋊Q8—24no—
914C22⋊Q8—28no—
915C22⋊Q8—28no—
916C22⋊Q8—216no—
917C22⋊Q8—216no—
918C22⋊Q8—28no—
919C22⋊Q8—28no—
920C22⋊Q8—28no—
921C22⋊Q8—28no—
922C22⋊Q8—216no—
923C22⋊Q8—216no—
924C22⋊Q8—28no—
925C22⋊Q8—28no—
926C22⋊Q8—28no—
927C22⋊Q8—28no—
928C22⋊Q8—28no—
929C22⋊Q8—28no—
930C22⋊Q8—84no—
931C22⋊Q8—84no—
932#121—28no—
933#121—28no—
934#121—28no—
935#121—24no—
936#121—24no—
937#121—28no—
938#121—84no—
939#120—28no—
940#120—28no—
941#120—28no—
942#120—216no—
943#120—216no—
944#120—44no—
945#120—48no—
946#120—84no—
947C4×Q8—28no—
948C4×D4—216no—
949C4×D4—216no—
950C4×D4—28no—
951C4×D4—28no—
952C4×D4—28no—
953C4×D4—28no—
954C4×D4—28no—
955C4×D4—216no—
956C4×D4—216no—
957C4×D4—28no—
958C4×D4—28no—
959C4×D4—48no—
960C4×D4—84no—
961#117—28no—
962#117—28no—
963#117—28no—
964#117—28no—
965#117—24no—
966#117—28no—
967#117—216no—
968#117—216no—
969#117—28no—
970#117—28no—
971#117—44no—
972#117—44no—
973C2×C4⋊C4—24no—
974C2×C4⋊C4—24no—
975C2×C4⋊C4—24no—
976C2×C4⋊C4—24no—
977C2×C4⋊C4—24no—
978C2×C4⋊C4—24no—
979C2×C4⋊C4—24no—
980C2×C4⋊C4—28no—
981C2×C4⋊C4—28no—
982C2×C4⋊C4—44no—
983C2×C4⋊C4—84no—
984C2×C4⋊C4—84no—
985C2×C4⋊C4C2×D418yes—
986C2×C4⋊C4C2×D418yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2412yes—
989C2×C4⋊C4C2414yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2414yes—
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2414yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2411yescharacteristic
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2412yes—
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⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C22⋊C4—24no—
1045C2×C22⋊C4—24no—
1046C2×C22⋊C4—24no—
1047C2×C22⋊C4—28no—
1048C2×C22⋊C4—28no—
1049C2×C22⋊C4—24no—
1050C2×C22⋊C4—24no—
1051C2×C22⋊C4—24no—
1052C2×C22⋊C4—24no—
1053C2×C22⋊C4—24no—
1054C2×C22⋊C4—24no—
1055C2×C22⋊C4—28no—
1056C2×C22⋊C4—28no—
1057C2×C22⋊C4—28no—
1058C2×C22⋊C4—28no—
1059C2×C22⋊C4—24no—
1060C2×C22⋊C4—24no—
1061C2×C22⋊C4—216no—
1062C2×C22⋊C4—216no—
1063C2×C22⋊C4—44no—
1064C2×C22⋊C4—44no—
1065C2×C22⋊C4—48no—
1066C2×C22⋊C4—84no—
1067C2×C22⋊C4C2×D418yes—
1068C2×C22⋊C4C2×D418yes—
1069C2×C22⋊C4C2×D418yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C42—24no—
1141C2×C42—24no—
1142C2×C42—24no—
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2414yes—
1147C2×C42C2412yes—
1148C2×C42C2412yes—
1149C2×C42C2412yes—
1150C2×C42C2412yes—
1151C2×C42C2412yes—
1152C2×C42C2412yes—
1153C2×C42C2414yes—
1154C2×C42C2414yes—
1155C2×C42C2414yes—
1156C2×C42C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2412yes—
1172#95C2414yes—
1173#95C2412yes—
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—
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—24no—
1201C24—22no—
1202C24—22no—
1203C24—22no—
1204C24—22no—
1205C24—24no—
1206C24—24no—
1207C24—24no—
1208C24—28no—
1209C24—24no—
1210C24—22no—
1211C24—22no—
1212C24—42no—
1213C24—42no—
1214C24—42no—
1215C24—44no—
1216C24—42no—
1217C24—42no—
1218C24—42no—
1219C24—42no—
1220C24—42no—
1221C24—42no—
1222C24—44no—
1223C24—44no—
1224C24—416no—
1225C24—416no—
1226C24—816no—
1227C24—88no—
1228C24—816no—
1229C24C22×D414yes—
1230C24C22×D414yes—
1231C242−1+414yes—
1232C24C2512yes—
1233C24C2512yes—
1234C24C2511yescharacteristic
1235C24C2512yes—
1236C24C2512yes—
1237C24C2511yescharacteristic
1238C24C2511yescharacteristic
1239#41—88no—
1240#41—816no—
1241C2×Q8—24no—
1242C2×Q8—22no—
1243C2×Q8—28no—
1244C2×Q8—24no—
1245C2×Q8—22no—
1246C2×Q8—22no—
1247C2×Q8—24no—
1248C2×Q8—44no—
1249C2×Q8—44no—
1250C2×Q8—44no—
1251C2×Q8—44no—
1252C2×Q8—42no—
1253C2×Q8—42no—
1254C2×Q8—44no—
1255C2×Q8—42no—
1256C2×Q8—88no—
1257C2×Q8—88no—
1258C2×D4—28no—
1259C2×D4—24no—
1260C2×D4—28no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—28no—
1264C2×D4—24no—
1265C2×D4—28no—
1266C2×D4—24no—
1267C2×D4—24no—
1268C2×D4—28no—
1269C2×D4—24no—
1270C2×D4—28no—
1271C2×D4—22no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—42no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—44no—
1284C2×D4—44no—
1285C2×D4—416no—
1286C2×D4—416no—
1287C2×D4—88no—
1288C2×D4C22×D418yes—
1289C2×D4C22×D418yes—
1290C22×C4—22no—
1291C22×C4—24no—
1292C22×C4—22no—
1293C22×C4—24no—
1294C22×C4—22no—
1295C22×C4—22no—
1296C22×C4—22no—
1297C22×C4—22no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—24no—
1301C22×C4—28no—
1302C22×C4—22no—
1303C22×C4—22no—
1304C22×C4—28no—
1305C22×C4—22no—
1306C22×C4—22no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—28no—
1313C22×C4—28no—
1314C22×C4—28no—
1315C22×C4—28no—
1316C22×C4—24no—
1317C22×C4—24no—
1318C22×C4—24no—
1319C22×C4—416no—
1320C22×C4—44no—
1321C22×C4—42no—
1322C22×C4—42no—
1323C22×C4—42no—
1324C22×C4—42no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—42no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—44no—
1332C22×C4—44no—
1333C22×C4—44no—
1334C22×C4—44no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—44no—
1344C22×C4—44no—
1345C22×C4—44no—
1346C22×C4—44no—
1347C22×C4—44no—
1348C22×C4—416no—
1349C22×C4—88no—
1350C22×C4—88no—
1351C22×C4—88no—
1352C22×C4C22×D414yes—
1353C22×C4C22×D414yes—
1354C22×C4C22×D414yes—
1355C22×C4C22×D414yes—
1356C22×C4C22×D414yes—
1357C22×C4C22×D414yes—
1358C22×C4C22×D414yes—
1359C22×C4C22×D414yes—
1360C22×C4C22×D414yes—
1361C22×C4C2514yes—
1362C22×C4C2512yes—
1363C22×C4C2514yes—
1364C22×C4C2512yes—
1365C22×C4C2512yes—
1366C22×C4C2514yes—
1367C22×C4C2512yes—
1368C22×C4C2512yes—
1369C22×C4C2514yes—
1370C22×C4C2512yes—
1371C22×C4C2512yes—
1372C22×C4C2512yes—
1373C22×C4C2512yes—
1374C22×C4C2512yes—
1375C22×C4C2512yes—
1376C22×C4C2512yes—
1377C22×C4C2512yes—
1378C22×C4C2512yes—
1379C22×C4C2512yes—
1380C22×C4C2511yescharacteristic
1381C22×C4C2511yescharacteristic
1382C22×C4C2511yescharacteristic
1383C22×C4C2512yes—
1384C22×C4C2511yescharacteristic
1385C4⋊C4—24no—
1386C4⋊C4—28no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—24no—
1391C4⋊C4—24no—
1392C4⋊C4—28no—
1393C4⋊C4—28no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—22no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—22no—
1401C4⋊C4—28no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—24no—
1416C4⋊C4—44no—
1417C4⋊C4—42no—
1418C4⋊C4—42no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4—44no—
1424C4⋊C4—44no—
1425C4⋊C4—44no—
1426C4⋊C4—44no—
1427C4⋊C4—42no—
1428C4⋊C4—42no—
1429C4⋊C4—44no—
1430C4⋊C4—44no—
1431C4⋊C4—44no—
1432C4⋊C4—44no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4C22×D418yes—
1439C4⋊C4C22×D418yes—
1440C4⋊C4C22×D418yes—
1441C4⋊C4C22×D418yes—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—28no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
1456C22⋊C4—24no—
1457C22⋊C4—24no—
1458C22⋊C4—28no—
1459C22⋊C4—24no—
1460C22⋊C4—24no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—28no—
1464C22⋊C4—24no—
1465C22⋊C4—24no—
1466C22⋊C4—24no—
1467C22⋊C4—24no—
1468C22⋊C4—28no—
1469C22⋊C4—24no—
1470C22⋊C4—24no—
1471C22⋊C4—28no—
1472C22⋊C4—24no—
1473C22⋊C4—24no—
1474C22⋊C4—28no—
1475C22⋊C4—28no—
1476C22⋊C4—24no—
1477C22⋊C4—24no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
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⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4C22×D418yes—
1507C22⋊C4C22×D418yes—
1508C22⋊C4C22×D418yes—
1509C22⋊C4C22×D418yes—
1510C22⋊C4C22×D418yes—
1511C22⋊C4C22×D418yes—
1512C42—24no—
1513C42—24no—
1514C42—28no—
1515C42—24no—
1516C42—24no—
1517C42—24no—
1518C42—24no—
1519C42—24no—
1520C42—24no—
1521C42—24no—
1522C42—44no—
1523C42—44no—
1524C42—44no—
1525C42—44no—
1526C23—21no—
1527C23—21no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—22no—
1533C23—21no—
1534C23—21no—
1535C23—24no—
1536C23—22no—
1537C23—24no—
1538C23—22no—
1539C23—22no—
1540C23—24no—
1541C23—22no—
1542C23—24no—
1543C23—28no—
1544C23—28no—
1545C23—28no—
1546C23—28no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—24no—
1553C23—22no—
1554C23—24no—
1555C23—24no—
1556C23—24no—
1557C23—44no—
1558C23—48no—
1559C23—44no—
1560C23—44no—
1561C23—48no—
1562C23—48no—
1563C23—48no—
1564C23—48no—
1565C23—416no—
1566C23—44no—
1567C23—44no—
1568C23—48no—
1569C23—44no—
1570C23—44no—
1571C23—48no—
1572C23—48no—
1573C23—44no—
1574C23—84no—
1575C23—84no—
1576C23—84no—
1577C23—84no—
1578C23—88no—
1579C23—84no—
1580C23—84no—
1581C23—88no—
1582C23—88no—
1583C23—864no—
1584C23C23×D412yes—
1585C23C23×D414yes—
1586C23C23×D412yes—
1587C23C23×D412yes—
1588C23C2×2−1+414yes—
1589C23C2×2−1+412yes—
1590C23#58514yes—
1591C23#58512yes—
1592C23C2611yescharacteristic
1593Q8—84no—
1594Q8—82no—
1595Q8—84no—
1596Q8—82no—
1597Q8—88no—
1598Q8—82no—
1599Q8—84no—
1600D4—216no—
1601D4—48no—
1602D4—416no—
1603D4—48no—
1604D4—48no—
1605D4—82no—
1606D4—84no—
1607D4—84no—
1608D4—88no—
1609D4—88no—
1610D4—84no—
1611D4—164no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—22no—
1617C2×C4—22no—
1618C2×C4—22no—
1619C2×C4—24no—
1620C2×C4—28no—
1621C2×C4—28no—
1622C2×C4—28no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—22no—
1637C2×C4—24no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—24no—
1641C2×C4—24no—
1642C2×C4—24no—
1643C2×C4—24no—
1644C2×C4—24no—
1645C2×C4—24no—
1646C2×C4—24no—
1647C2×C4—22no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—24no—
1651C2×C4—24no—
1652C2×C4—24no—
1653C2×C4—24no—
1654C2×C4—24no—
1655C2×C4—24no—
1656C2×C4—24no—
1657C2×C4—24no—
1658C2×C4—24no—
1659C2×C4—24no—
1660C2×C4—22no—
1661C2×C4—22no—
1662C2×C4—24no—
1663C2×C4—24no—
1664C2×C4—22no—
1665C2×C4—22no—
1666C2×C4—44no—
1667C2×C4—44no—
1668C2×C4—44no—
1669C2×C4—44no—
1670C2×C4—44no—
1671C2×C4—44no—
1672C2×C4—416no—
1673C2×C4—44no—
1674C2×C4—44no—
1675C2×C4—44no—
1676C2×C4—44no—
1677C2×C4—48no—
1678C2×C4—44no—
1679C2×C4—44no—
1680C2×C4—84no—
1681C2×C4—88no—
1682C2×C4—84no—
1683C2×C4—84no—
1684C2×C4—84no—
1685C2×C4—84no—
1686C2×C4—88no—
1687C2×C4—88no—
1688C2×C4—84no—
1689C2×C4—84no—
1690C2×C4—84no—
1691C2×C4—88no—
1692C2×C4C23×D412yes—
1693C2×C4C23×D412yes—
1694C2×C4C23×D414yes—
1695C2×C4C23×D414yes—
1696C2×C4C23×D412yes—
1697C2×C4C23×D414yes—
1698C2×C4C23×D412yes—
1699C22—22no—
1700C22—22no—
1701C22—22no—
1702C22—22no—
1703C22—24no—
1704C22—24no—
1705C22—24no—
1706C22—24no—
1707C22—22no—
1708C22—24no—
1709C22—24no—
1710C22—24no—
1711C22—22no—
1712C22—24no—
1713C22—22no—
1714C22—28no—
1715C22—416no—
1716C22—416no—
1717C22—42no—
1718C22—42no—
1719C22—42no—
1720C22—44no—
1721C22—44no—
1722C22—42no—
1723C22—44no—
1724C22—42no—
1725C22—42no—
1726C22—42no—
1727C22—42no—
1728C22—42no—
1729C22—42no—
1730C22—44no—
1731C22—44no—
1732C22—44no—
1733C22—44no—
1734C22—88no—
1735C22—816no—
1736C22—88no—
1737C22—816no—
1738C22#348514yes—
1739C22#348914yes—
1740C22C24×D411yescharacteristic
1741C22C22×2−1+411yescharacteristic
1742C22C2×#58512yes—
1743C22C2×#58511yescharacteristic
1744C22H(7,𝔽2)12yes—
1745C4—22no—
1746C4—22no—
1747C4—22no—
1748C4—22no—
1749C4—24no—
1750C4—24no—
1751C4—24no—
1752C4—42no—
1753C4—42no—
1754C4—42no—
1755C4—42no—
1756C4—42no—
1757C4—42no—
1758C4—42no—
1759C4—42no—
1760C4—42no—
1761C4—42no—
1762C4—42no—
1763C4—42no—
1764C4—42no—
1765C4—44no—
1766C4—44no—
1767C4—44no—
1768C4—44no—
1769C2—24no—
1770C2—24no—
1771C2—42no—
1772C2—44no—
1773C2—44no—
1774C2—82no—
1775C2—82no—
1776C2C2×#348511yescharacteristic
1777C2C2×#348911yescharacteristic
1778C2#6285211yescharacteristic
1779C2#6290312yes—
1780C2#6293312yes—
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×#3535C2semidirect
2. C22×#551C2semidirect
3. #50180C2semidirect
4. #48834C2semidirect
5. #48831C2semidirect
6. #48789C2semidirect
7. #44759C2semidirect
8. #43979C2semidirect
9. #43976C2semidirect
10. #43935C2semidirect
11. #39594C2semidirect
12. #39117C2semidirect
13. #38039C2semidirect
14. #38037C2semidirect
15. #37842C2semidirect
16. #37832C2semidirect
17. #36971C2semidirect
18. #36966C2semidirect
19. #36962C2semidirect
20. #36957C2semidirect
21. #36237C2semidirect
22. #36158C2semidirect
23. #35311C2semidirect
24. #35263C2semidirect
25. #35151C2semidirect
26. #35094C2semidirect
27. #35050C2semidirect
28. #34986C2semidirect
29. #34985C2semidirect
30. C2×#2626C2semidirect
31. #34376C2semidirect
33. C2×#563C22semidirect
34. C2×#562C22semidirect
35. C2×#554C22semidirect
36. C2×#552C22semidirect
43. C2×#551C22semidirect
44. C2×#547C22semidirect
46. C2×#544C22semidirect
47. C2×#543C22semidirect
48. C2×#542C22semidirect
49. C2×#539C22semidirect
50. C2×#539C22semidirect
51. C2×#539C22semidirect
52. C2×#538C22semidirect
53. C2×#536C22semidirect
71. #2855C22semidirect
72. #2855C22semidirect
73. #2855C22semidirect
74. #2855C22semidirect
75. #2855C22semidirect
76. #2855C22semidirect
77. #2855C22semidirect
78. #2854C22semidirect
79. #2854C22semidirect
82. #2849C22semidirect
85. #2727C22semidirect
86. #2725C22semidirect
87. #2725C22semidirect
88. #2723C22semidirect
89. #2721C22semidirect
90. #2721C22semidirect
91. #2720C22semidirect
92. #2720C22semidirect
93. #2718C22semidirect
94. #2718C22semidirect
95. #2716C22semidirect
96. #2716C22semidirect
97. #2716C22semidirect
98. #2715C22semidirect
99. #2712C22semidirect
100. #2710C22semidirect
101. #2706C22semidirect
102. #2706C22semidirect
103. #2705C22semidirect
104. #2702C22semidirect
105. #2702C22semidirect
106. #2700C22semidirect
107. #2700C22semidirect
108. #2698C22semidirect
110. #2695C22semidirect
111. #2693C22semidirect
112. #2692C22semidirect
113. #2692C22semidirect
114. #2689C22semidirect
115. #2687C22semidirect
117. #2680C22semidirect
119. #2676C22semidirect
120. #2674C22semidirect
121. #2674C22semidirect
122. #2674C22semidirect
123. #2672C22semidirect
125. #2627C22semidirect
135. #2626C22semidirect
136. #2626C22semidirect
137. #2626C22semidirect
138. #2625C22semidirect
139. #2625C22semidirect
140. #2625C22semidirect
141. #2624C22semidirect
142. #2623C22semidirect
148. #2561C22semidirect
149. #2560C22semidirect
150. #2557C22semidirect
151. #2553C22semidirect
152. #2542C22semidirect
153. #2539C22semidirect
157. #2534C22semidirect
158. #2519C22semidirect
159. #2503C22semidirect
160. #2502C22semidirect
161. #2502C22semidirect
162. #2501C22semidirect
163. #2499C22semidirect
164. #2498C22semidirect
165. #2492C22semidirect
166. #2488C22semidirect
167. #2488C22semidirect
168. #2487C22semidirect
169. #2487C22semidirect
170. #2486C22semidirect
171. #2485C22semidirect
172. #2484C22semidirect
173. #2484C22semidirect
176. #2483C22semidirect
178. #2482C22semidirect
179. #2481C22semidirect
180. #2480C22semidirect
181. #2480C22semidirect
182. #2479C22semidirect
183. #2477C22semidirect
184. #2475C22semidirect
185. #2472C22semidirect
186. #2471C22semidirect
187. #2470C22semidirect
188. #2469C22semidirect
189. #2466C22semidirect
190. #2459C22semidirect
191. #2457C22semidirect
192. #2456C22semidirect
193. #2455C22semidirect
194. #2450C22semidirect
195. #2450C22semidirect
196. #2449C22semidirect
197. #2449C22semidirect
198. #2449C22semidirect
199. #2447C22semidirect
200. #2443C22semidirect
201. #2443C22semidirect
202. #2441C22semidirect
203. #2441C22semidirect
204. #2440C22semidirect
205. #2439C22semidirect
206. #2439C22semidirect
207. #2438C22semidirect
208. #2437C22semidirect
209. #2434C22semidirect
210. #2429C22semidirect
211. #2425C22semidirect
213. #2422C22semidirect
214. #2419C22semidirect
215. #2419C22semidirect
217. #2418C22semidirect
218. #2417C22semidirect
219. #2413C22semidirect
220. #2413C22semidirect
223. #2412C22semidirect
224. #2412C22semidirect
226. #2411C22semidirect
228. #2409C22semidirect
231. #2404C22semidirect
232. C2×#399C22semidirect
233. C2×#396C22semidirect
234. C2×#393C22semidirect
235. #2376C22semidirect
236. #2359C22semidirect
237. #2358C22semidirect
238. D4×C4⋊C4C22semidirect
239. #2345C22semidirect
241. #2342C22semidirect
242. #2342C22semidirect
243. #2339C22semidirect
245. #2335C22semidirect
246. #2322C22semidirect
247. #2322C22semidirect
251. #2317C22semidirect
252. #2317C22semidirect
253. #2316C22semidirect
254. #2316C22semidirect
255. #2315C22semidirect
256. #2313C22semidirect
257. #2312C22semidirect
258. #2311C22semidirect
259. #2310C22semidirect
261. C4×#123C22semidirect
264. C2×#385C22semidirect
302. C2×C4⋊Q8C23semidirect
303. C2×C4⋊Q8C23semidirect
304. C2×C4⋊Q8C23semidirect
305. C2×C4⋊Q8C23semidirect
314. C2×#126C23semidirect
315. C2×#126C23semidirect
316. C2×#126C23semidirect
317. C2×#126C23semidirect
318. C2×#125C23semidirect
319. C2×#125C23semidirect
320. C2×#125C23semidirect
321. C2×#125C23semidirect
322. C2×#125C23semidirect
328. C2×#124C23semidirect
329. C2×#124C23semidirect
333. C2×#123D4semidirect
352. C2×#123C23semidirect
353. C2×#123C23semidirect
354. C2×#123C23semidirect
355. C2×#123C23semidirect
356. C2×#123C23semidirect
376. C2×C22⋊Q8C23semidirect
377. C2×C22⋊Q8C23semidirect
378. C2×C22⋊Q8C23semidirect
379. C2×C22⋊Q8C23semidirect
380. C2×C22⋊Q8C23semidirect
381. C2×C22⋊Q8C23semidirect
382. C2×C22⋊Q8C23semidirect
383. C2×C22⋊Q8C23semidirect
384. C2×C22⋊Q8C23semidirect
385. C2×C22⋊Q8C23semidirect
392. C2×#121C23semidirect
402. C2×C4×Q8C23semidirect
417. C2×C4×D4C23semidirect
431. C2×#117C23semidirect
444. C22×C4⋊C4C23semidirect
445. C22×C4⋊C4C23semidirect
477. #400C23semidirect
478. #400C23semidirect
479. #400C23semidirect
480. #400C23semidirect
481. #400C23semidirect
482. #400C23semidirect
483. #400C23semidirect
494. #399C23semidirect
495. #399C23semidirect
496. #399C23semidirect
497. #398C23semidirect
498. #398C23semidirect
499. #398C23semidirect
500. #398C23semidirect
501. #398C23semidirect
502. #398C23semidirect
503. #398C23semidirect
504. #398C23semidirect
505. #398C23semidirect
506. #398C23semidirect
518. #397C23semidirect
519. #397C23semidirect
520. #397C23semidirect
521. #397C23semidirect
522. #397C23semidirect
538. #396C23semidirect
539. #395C23semidirect
540. #395C23semidirect
541. #395C23semidirect
542. #395C23semidirect
555. #394C23semidirect
567. #393C23semidirect
573. #391C23semidirect
574. #391C23semidirect
575. #391C23semidirect
576. #391C23semidirect
577. #391C23semidirect
578. #391C23semidirect
579. #391C23semidirect
580. #391C23semidirect
581. #391C23semidirect
582. #391C23semidirect
583. #391C23semidirect
584. #391C23semidirect
590. #390C23semidirect
591. #390C23semidirect
592. #389C23semidirect
593. #389C23semidirect
594. #389C23semidirect
595. #389C23semidirect
596. #389C23semidirect
597. #389C23semidirect
598. #389C23semidirect
599. #389C23semidirect
600. #389C23semidirect
601. #389C23semidirect
602. #389C23semidirect
603. #389C23semidirect
604. #389C23semidirect
605. #389C23semidirect
606. #389C23semidirect
607. #389C23semidirect
608. #389C23semidirect
609. #389C23semidirect
610. #389C23semidirect
628. #388C23semidirect
629. #388C23semidirect
630. #388C23semidirect
631. #388C23semidirect
632. #388C23semidirect
633. #388C23semidirect
634. #388C23semidirect
635. #388C23semidirect
636. #388C23semidirect
637. #387C23semidirect
638. #387C23semidirect
639. #387C23semidirect
640. #387C23semidirect
641. #387C23semidirect
642. #387C23semidirect
643. #387C23semidirect
644. #387C23semidirect
645. #387C23semidirect
646. #387C23semidirect
647. #387C23semidirect
648. #387C23semidirect
649. #387C23semidirect
650. #387C23semidirect
651. #387C23semidirect
652. #387C23semidirect
676. #386C23semidirect
677. #386C23semidirect
701. #385C23semidirect
702. #385C23semidirect
703. #385C23semidirect
704. #385C23semidirect
705. #385C23semidirect
706. #385C23semidirect
707. #385C23semidirect
708. #385C23semidirect
709. #384C23semidirect
710. #384C23semidirect
711. #384C23semidirect
712. #382C23semidirect
713. #382C23semidirect
725. #381C23semidirect
726. #381C23semidirect
742. #380C23semidirect
743. #380C23semidirect
744. #380C23semidirect
745. #380C23semidirect
758. C4×C4⋊C4C23semidirect
759. C4×C4⋊C4C23semidirect
768. C4×C22⋊C4C23semidirect
769. C4×C22⋊C4C23semidirect
772. C2×#95C23semidirect

Maximal subgroups

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

subgroupindex
C2×#35352
C22×#5512
#501802
#488342
#488312
#487892
#447592
#439792
#439762
#439352
#395942
#391172
#380392
#380372
#378422
#378322
#369712
#369662
#369622
#369572
#362372
#361582
#353112
#352632
#351512
#350942
#350502
#349862
#349852
C2×#26262
#343762