Finite Group Databasebeta

← #7736968

Subgroups — #7736968

Order 512.

7198 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3495C211yesmaximal, characteristic, complemented
2C22×#551C211yesmaximal, characteristic, complemented
3#59132C214yesmaximal, complemented
4#59048C214yesmaximal, complemented
5#51891C214yesmaximal, complemented
6#51528C214yesmaximal, complemented
7#43548C214yesmaximal, complemented
8#43545C214yesmaximal, complemented
9#43533C214yesmaximal, complemented
10#43528C214yesmaximal, complemented
11#38047C212yesmaximal, complemented
12#38039C212yesmaximal, complemented
13#37843C212yesmaximal, complemented
14#37833C212yesmaximal, complemented
15#37187C211yesmaximal, characteristic, complemented
16#37186C211yesmaximal, characteristic, complemented
17#36962C211yesmaximal, characteristic, complemented
18#36711C211yesmaximal, characteristic, complemented
19#36427C212yesmaximal, complemented
20#36341C212yesmaximal, complemented
21#36162C212yesmaximal, complemented
22#36158C212yesmaximal, complemented
23#35679C211yesmaximal, characteristic, complemented
24#35672C211yesmaximal, characteristic, complemented
25#35454C211yesmaximal, characteristic, complemented
26#35356C211yesmaximal, characteristic, complemented
27#35063C211yesmaximal, characteristic, complemented
28#35050C211yesmaximal, characteristic, complemented
29#34809C211yesmaximal, characteristic, complemented
30C2×#2482C211yesmaximal, characteristic, complemented
31#34359C211yesmaximal, characteristic, complemented
32#3495—216no—
33C2×#556C2212yescomplemented
34C2×#554C2212yescomplemented
35C2×#552C2212yescomplemented
36C2×#552C2212yescomplemented
37C2×#552C2212yescomplemented
38C2×#552C2212yescomplemented
39C2×#551—216no—
40C2×#551C2214yes—
41C2×#551C2214yes—
42C2×#551C2212yes—
43C2×#551C2214yes—
44C2×#551C2212yes—
45C2×#551C2214yes—
46C2×#544C2211yescharacteristic, complemented
47C2×#542C2212yescomplemented
48C2×#541C2212yescomplemented
49C2×#536C2211yescharacteristic, complemented
50C2×#533C2212yescomplemented
51C2×#529C2212yescomplemented
52C22×#126C2211yescharacteristic
53C22×#126C2211yescharacteristic
54C22×#124C2211yescharacteristic
55C2×#525C2211yescharacteristic
56C22×#123C2211yescharacteristic
57C22×#123C2211yescharacteristic
58C22×#123C2211yescharacteristic
59C22×C22⋊Q8C2211yescharacteristic
60C22×C22⋊Q8C2211yescharacteristic
61C22×#120C2211yescharacteristic
62C2×#520C2211yescharacteristic, complemented
63C2×#519C2211yescharacteristic, complemented
64C22×C4×D4C2211yescharacteristic
65C22×C4×D4C2211yescharacteristic
66C22×#117C2211yescharacteristic
67C22×#117C2211yescharacteristic
68C22×#117C2211yescharacteristic
69C23×C22⋊C4C2211yescharacteristic
70C23×C22⋊C4C2211yescharacteristic
71#2855C2212yescomplemented
72#2853C2212yescomplemented
73#2853C2212yescomplemented
74#2849C2212yes—
75#2849C2212yes—
76#2849C2212yescomplemented
77#2848C2212yes—
78#2846C2212yes—
79#2733C2214yescomplemented
80#2732C2214yescomplemented
81#2731C2214yescomplemented
82#2730C2214yescomplemented
83#2730C2214yescomplemented
84#2730C2214yescomplemented
85#2729C2214yescomplemented
86#2728C2214yescomplemented
87#2727C2214yescomplemented
88#2725C2214yescomplemented
89#2723C2214yescomplemented
90#2721C2214yescomplemented
91#2721C2214yescomplemented
92#2721C2214yescomplemented
93#2718C2214yescomplemented
94#2718C2214yescomplemented
95#2716C2214yescomplemented
96#2716C2214yescomplemented
97#2710C2214yescomplemented
98#2707C2214yescomplemented
99#2706C2214yescomplemented
100#2705C2214yescomplemented
101#2696C2214yescomplemented
102#2694C2214yescomplemented
103#2694C2214yescomplemented
104#2694C2214yescomplemented
105#2685C2214yes—
106#2685C2214yes—
107#2678C2214yes—
108#2674C2214yescomplemented
109#2674C2214yescomplemented
110#2670C2214yes—
111#2638C2212yescomplemented
112#2635C2212yescomplemented
113#2626C2212yes—
114#2626C2212yescomplemented
115#2626C2212yescomplemented
116#2623C2212yescomplemented
117#2617C2212yescomplemented
118#2613C2212yes—
119#2600C2214yescomplemented
120#2583C2212yescomplemented
121#2579C2212yescomplemented
122#2564C2212yescomplemented
123#2561C2212yes—
124#2561C2212yescomplemented
125#2558C2214yescomplemented
126#2554C2214yescomplemented
127#2543C2212yescomplemented
128#2539C2214yes—
129#2539C2212yescomplemented
130#2534C2212yes—
131#2534C2214yescomplemented
132#2519C2214yescomplemented
133#2512C2214yescomplemented
134#2502C2212yescomplemented
135#2501C2214yescomplemented
136#2488C2214yescomplemented
137#2487C2212yescomplemented
138#2487C2212yescomplemented
139#2486C2212yescomplemented
140#2485C2214yescomplemented
141#2484C2211yescharacteristic, complemented
142#2484C2211yescharacteristic, complemented
143#2484C2211yescharacteristic, complemented
144#2484C2212yescomplemented
145#2483C2212yes—
146#2482C2211yescharacteristic
147#2482C2212yes—
148#2482C2212yes—
149#2482C2211yescharacteristic
150#2482C2211yescharacteristic
151#2482C2212yes—
152#2482C2211yescharacteristic
153#2482C2211yescharacteristic
154#2482C2211yescharacteristic
155#2482C2212yes—
156#2482C2212yescomplemented
157#2482C2212yescomplemented
158#2482C2214yescomplemented
159#2482C2211yescharacteristic, complemented
160#2482C2212yescomplemented
161#2482C2211yescharacteristic, complemented
162#2482C2211yescharacteristic, complemented
163#2481C2214yescomplemented
164#2480C2214yescomplemented
165#2480C2214yescomplemented
166#2479C2214yescomplemented
167#2479C2214yescomplemented
168#2479C2214yescomplemented
169#2479C2214yescomplemented
170#2478C2214yescomplemented
171#2478C2214yescomplemented
172#2475C2214yescomplemented
173#2475C2214yescomplemented
174#2474C2214yescomplemented
175#2472C2214yes—
176#2472C2214yescomplemented
177#2471C2214yescomplemented
178#2471C2214yescomplemented
179#2470C2214yescomplemented
180#2469C2214yescomplemented
181#2469C2214yescomplemented
182#2467C2214yescomplemented
183#2467C2214yescomplemented
184#2467C2214yescomplemented
185#2460C2214yescomplemented
186#2460C2214yescomplemented
187#2458C2214yescomplemented
188#2458C2214yescomplemented
189#2456C2214yescomplemented
190#2454C2214yescomplemented
191#2448C2214yescomplemented
192#2448C2214yescomplemented
193#2448C2214yescomplemented
194#2448C2214yescomplemented
195#2443C2214yescomplemented
196#2441C2214yescomplemented
197#2438C2214yescomplemented
198#2437C2214yescomplemented
199#2435C2212yes—
200#2427C2214yescomplemented
201#2425C2214yescomplemented
202#2424C2214yes—
203#2423C2214yescomplemented
204#2423C2214yescomplemented
205#2421C2214yescomplemented
206#2421C2214yescomplemented
207#2418C2214yescomplemented
208#2415C2214yescomplemented
209#2413C2214yescomplemented
210#2413C2214yescomplemented
211#2413C2212yescomplemented
212#2412C2212yes—
213#2412C2214yescomplemented
214#2411C2214yes—
215#2411C2212yes—
216#2411C2212yes—
217#2411C2212yes—
218#2411C2212yes—
219#2411C2212yescomplemented
220#2410C2212yes—
221#2408C2212yes—
222#2406C2211yescharacteristic, complemented
223#2405C2212yes—
224#2404C2211yescharacteristic
225#2404C2211yescharacteristic
226#2404C2211yescharacteristic, complemented
227#2395C2212yescomplemented
228#2395C2212yescomplemented
229C2×#399C2212yescomplemented
230C2×#397C2212yescomplemented
231#2378C2214yescomplemented
232#2368C2214yescomplemented
233#2367C2214yescomplemented
234#2363C2214yescomplemented
235#2362C2214yescomplemented
236#2359C2214yescomplemented
237#2358C2214yescomplemented
238#2354C2214yescomplemented
239#2344C2214yescomplemented
240#2344C2212yescomplemented
241#2344C2212yescomplemented
242#2342C2212yes—
243#2342C2212yes—
244#2342C2214yescomplemented
245#2332C2214yescomplemented
246#2329C2214yescomplemented
247#2325C2214yescomplemented
248#2321C2212yes—
249#2321C2214yescomplemented
250#2321C2212yescomplemented
251#2317C2212yescomplemented
252#2313C2211yescharacteristic, complemented
253#2313C2211yescharacteristic, complemented
254#2310C2211yescharacteristic, complemented
255#2310C2211yescharacteristic, complemented
256#2309C2212yes—
257C4×#123C2212yescomplemented
258C4×#123C2214yescomplemented
259C4×#120C2212yes—
260#2296C2212yescomplemented
261#2296C2212yescomplemented
262C2×#388C2214yescomplemented
263C2×#385C2212yes—
264#2280C2211yescharacteristic
265#2280C2212yes—
266#2280C2212yescomplemented
267C2×#381C2211yescharacteristic
268C2×#379C2212yes—
269C26C2311yescharacteristic
270C22×#41C2311yescharacteristic
271C23×Q8C2311yescharacteristic
272C23×D4C2311yescharacteristic
273C23×D4C2311yescharacteristic
274C23×D4C2311yescharacteristic
275C24×C4C2311yescharacteristic
276C24×C4C2311yescharacteristic
277C24×C4C2311yescharacteristic
278C24×C4C2311yescharacteristic
279C24×C4C2311yescharacteristic
280#556—216no—
281#554—216no—
282#552—216no—
283#552—216no—
284#552—216no—
285#552—216no—
286#551—232no—
287#551—232no—
288#551—232no—
289#551—232no—
290#551—216no—
291#551—216no—
292#544—28no—
293#542—216no—
294#541—216no—
295#536—28no—
296#533—216no—
297C2×C4⋊Q8C2312yescomplemented
298C2×C4⋊Q8C2312yescomplemented
299C2×C4⋊Q8C2312yescomplemented
300#529—216no—
301C2×#126—28no—
302C2×#126—28no—
303C2×#126C2314yes—
304C2×#126C2314yes—
305C2×#126C2314yes—
306C2×#126C2314yes—
307C2×#126C2312yes—
308C2×#126C2312yes—
309C2×#126C2312yes—
310C2×#126C2312yes—
311C2×#126C2312yescomplemented
312C2×#126C2312yescomplemented
313C2×#126C2312yescomplemented
314C2×#126C2312yescomplemented
315C2×#125C2312yescomplemented
316C2×#125C2312yescomplemented
317C2×#125C2312yescomplemented
318C2×#125C2312yescomplemented
319C2×#125C2312yescomplemented
320C2×#125C2312yescomplemented
321C2×#125C2312yescomplemented
322C2×#125C2312yescomplemented
323C2×#124—28no—
324C2×#124C2314yes—
325C2×#124C2314yes—
326C2×#124C2312yes—
327C2×#124C2312yes—
328C2×#124C2314yes—
329C2×#124C2312yescomplemented
330#525—28no—
331C2×#123—28no—
332C2×#123—28no—
333C2×#123—28no—
334C2×#123C2312yes—
335C2×#123C2312yes—
336C2×#123C2312yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2312yes—
347C2×#123C2312yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×C22⋊Q8—28no—
351C2×C22⋊Q8D4116yescomplemented
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2314yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yescomplemented
366C2×C22⋊Q8C2312yescomplemented
367C2×C22⋊Q8C2312yescomplemented
368C2×C22⋊Q8C2312yescomplemented
369C2×#121C2311yescharacteristic
370C2×#121C2311yescharacteristic
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#120—28no—
374C2×#120C2312yes—
375C2×#120C2314yes—
376C2×#120C2314yes—
377C2×#120C2312yes—
378C2×#120C2314yes—
379C2×#120C2312yes—
380C2×#120C2312yes—
381C2×#120C2314yes—
382#520—28no—
383#519—28no—
384C2×C4×Q8C2312yescomplemented
385C2×C4×Q8C2312yescomplemented
386C2×C4×Q8C2312yescomplemented
387C2×C4×Q8C2312yescomplemented
388C2×C4×Q8C2312yescomplemented
389C2×C4×Q8C2312yescomplemented
390C2×C4×Q8C2312yescomplemented
391C2×C4×D4—28no—
392C2×C4×D4—28no—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2312yes—
396C2×C4×D4C2312yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2314yes—
406C2×C4×D4C2312yescomplemented
407C2×#117—28no—
408C2×#117—28no—
409C2×#117—28no—
410C2×#117C2312yes—
411C2×#117C2312yes—
412C2×#117C2312yes—
413C2×#117C2312yes—
414C2×#117C2314yes—
415C2×#117C2314yes—
416C2×#117C2311yescharacteristic
417C2×#117C2311yescharacteristic
418C2×#117C2311yescharacteristic
419C2×#117C2314yes—
420C2×#117C2311yescharacteristic
421C2×#117C2312yes—
422C2×#117C2314yes—
423C2×#117C2312yes—
424C2×#117C2311yescharacteristic
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2312yescomplemented
429C2×#117C2312yescomplemented
430C2×#117C2312yescomplemented
431C22×C4⋊C4C2311yescharacteristic
432C22×C4⋊C4C2311yescharacteristic
433C22×C4⋊C4C2311yescharacteristic
434C22×C4⋊C4C2311yescharacteristic
435C22×C4⋊C4C2311yescharacteristic
436C22×C4⋊C4C2311yescharacteristic
437C22×C4⋊C4C2311yescharacteristic
438C22×C4⋊C4C2314yes—
439C22×C4⋊C4C2311yescharacteristic
440C22×C4⋊C4C2311yescharacteristic
441C22×C4⋊C4C2311yescharacteristic
442C22×C4⋊C4C2312yescomplemented
443C22×C22⋊C4—28no—
444C22×C22⋊C4—28no—
445C22×C22⋊C4C2311yescharacteristic
446C22×C22⋊C4C2312yes—
447C22×C22⋊C4C2311yescharacteristic
448C22×C22⋊C4C2311yescharacteristic
449C22×C22⋊C4C2312yes—
450C22×C22⋊C4C2314yes—
451C22×C22⋊C4C2312yes—
452C22×C22⋊C4C2312yes—
453C22×C22⋊C4C2311yescharacteristic
454C22×C22⋊C4C2311yescharacteristic
455C22×C22⋊C4C2311yescharacteristic
456C22×C22⋊C4C2311yescharacteristic
457C22×C22⋊C4C2311yescharacteristic
458C22×C22⋊C4C2311yescharacteristic
459C22×C22⋊C4C2314yes—
460C22×C22⋊C4C2312yes—
461C22×C22⋊C4C2311yescharacteristic
462C22×C22⋊C4C2311yescharacteristic
463C22×C22⋊C4C2311yescharacteristic
464C22×C22⋊C4C2312yes—
465C22×C22⋊C4C2314yes—
466C22×C22⋊C4C2314yes—
467C22×C22⋊C4C2311yescharacteristic
468C22×C22⋊C4C2311yescharacteristic
469C22×C42C2311yescharacteristic
470C22×C42C2311yescharacteristic
471C22×C42C2311yescharacteristic
472C22×C42C2312yes—
473#400C2312yescomplemented
474#400C2314yescomplemented
475#400C2312yescomplemented
476#400C2312yescomplemented
477#400C2314yescomplemented
478#400C2314yescomplemented
479#399C2314yes—
480#399C2312yes—
481#399C2312yes—
482#399C2312yes—
483#399C2312yes—
484#399C2314yes—
485#399C2314yes—
486#399C2312yes—
487#399C2312yes—
488#399C2314yes—
489#399C2314yes—
490#399C2312yescomplemented
491#399C2314yescomplemented
492#399C2314yescomplemented
493#399C2312yescomplemented
494#399C2312yescomplemented
495#399C2314yescomplemented
496#399C2314yescomplemented
497#398C2314yescomplemented
498#398C2314yescomplemented
499#398C2314yescomplemented
500#398C2312yescomplemented
501#398C2312yescomplemented
502#398C2312yescomplemented
503#398C2314yescomplemented
504#398C2314yescomplemented
505#398C2314yescomplemented
506#398C2314yescomplemented
507#397C2314yes—
508#397C2312yes—
509#397C2312yes—
510#397C2314yes—
511#397C2314yes—
512#397C2312yes—
513#397C2312yes—
514#397C2314yes—
515#397C2312yes—
516#397C2312yes—
517#397C2314yes—
518#397C2314yes—
519#397C2314yes—
520#397C2314yes—
521#397C2314yescomplemented
522#397C2312yescomplemented
523#397C2312yescomplemented
524#397C2312yescomplemented
525#397C2314yescomplemented
526#396C2314yes—
527#396C2314yes—
528#396C2314yes—
529#396C2314yes—
530#396C2314yes—
531#396C2314yes—
532#396C2314yes—
533#396C2314yescomplemented
534#396C2314yescomplemented
535#396C2314yescomplemented
536#396C2314yescomplemented
537#396C2314yescomplemented
538#395C2312yescomplemented
539#395C2314yescomplemented
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#394C2312yescomplemented
555#394C2314yescomplemented
556#393C2314yes—
557#393C2312yes—
558#393C2312yes—
559#393C2314yes—
560#393C2312yescomplemented
561#393C2314yescomplemented
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2312yes—
566#392C2312yes—
567#392C2314yes—
568#392C2312yescomplemented
569#391C2314yescomplemented
570#391C2314yescomplemented
571#391C2314yescomplemented
572#391C2314yescomplemented
573#391C2314yescomplemented
574#391C2314yescomplemented
575#390C2314yes—
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#390C2314yes—
581#390C2314yes—
582#390C2314yes—
583#390C2314yes—
584#390C2314yes—
585#390C2314yes—
586#390C2314yescomplemented
587#390C2314yescomplemented
588#389C2314yescomplemented
589#389C2314yescomplemented
590#389C2314yescomplemented
591#389C2314yescomplemented
592#389C2314yescomplemented
593#389C2314yescomplemented
594#389C2314yescomplemented
595#389C2314yescomplemented
596#389C2314yescomplemented
597#389C2314yescomplemented
598#389C2314yescomplemented
599#389C2314yescomplemented
600#389C2314yescomplemented
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#388C2314yes—
628#388C2314yescomplemented
629#388C2314yescomplemented
630#388C2314yescomplemented
631#388C2314yescomplemented
632#388C2314yescomplemented
633#388C2314yescomplemented
634#388C2314yescomplemented
635#388C2314yescomplemented
636#388C2314yescomplemented
637#388C2314yescomplemented
638#388C2314yescomplemented
639#388C2314yescomplemented
640#388C2314yescomplemented
641#388C2314yescomplemented
642#387C2314yescomplemented
643#387C2314yescomplemented
644#387C2314yescomplemented
645#387C2314yescomplemented
646#387C2314yescomplemented
647#387C2314yescomplemented
648#387C2314yescomplemented
649#387C2314yescomplemented
650#387C2314yescomplemented
651#387C2314yescomplemented
652#387C2314yescomplemented
653#387C2314yescomplemented
654#387C2314yescomplemented
655#387C2314yescomplemented
656#387C2314yescomplemented
657#387C2314yescomplemented
658#387C2314yescomplemented
659#387C2314yescomplemented
660#387C2314yescomplemented
661#387C2314yescomplemented
662#387C2314yescomplemented
663#386C2314yes—
664#386C2312yes—
665#386C2314yes—
666#386C2312yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2312yes—
671#386C2314yes—
672#386C2312yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yescomplemented
679#386C2314yescomplemented
680#386C2314yescomplemented
681#386C2314yescomplemented
682#385C2312yes—
683#385C2312yes—
684#385C2312yes—
685#385C2312yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2312yes—
697#385C2314yes—
698#385C2312yes—
699#385C2314yes—
700#385C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2312yes—
705#385C2314yescomplemented
706#385C2314yescomplemented
707#385C2314yescomplemented
708#385C2314yescomplemented
709#384C2314yescomplemented
710#384C2314yescomplemented
711#382C2314yescomplemented
712#381C2312yes—
713#381C2312yes—
714#381C2314yes—
715#381C2311yescharacteristic
716#381C2311yescharacteristic
717#381C2311yescharacteristic
718#381C2311yescharacteristic
719#381C2312yes—
720#381C2312yes—
721#381C2312yes—
722#381C2312yes—
723#381C2314yes—
724#381C2312yes—
725#381C2312yes—
726#380C2314yes—
727#380C2312yes—
728#380C2312yes—
729#380C2312yes—
730#380C2314yes—
731#380C2312yes—
732#380C2314yes—
733#380C2314yes—
734#380C2314yescomplemented
735#380C2314yescomplemented
736#380C2314yescomplemented
737#379C2312yes—
738#379C2312yes—
739#379C2314yes—
740#379C2312yes—
741#379C2312yes—
742#379C2312yes—
743#379C2314yes—
744#379C2312yes—
745#379C2312yes—
746#379C2312yes—
747#379C2312yes—
748#379C2312yes—
749#379C2314yes—
750#379C2314yes—
751C4×C4⋊C4C2314yescomplemented
752C4×C4⋊C4C2314yescomplemented
753C4×C4⋊C4C2314yescomplemented
754C4×C4⋊C4C2314yescomplemented
755C4×C4⋊C4C2314yescomplemented
756C4×C4⋊C4C2314yescomplemented
757C4×C4⋊C4C2314yescomplemented
758C4×C22⋊C4C2312yes—
759C4×C22⋊C4C2312yes—
760C4×C22⋊C4C2312yes—
761C4×C22⋊C4C2312yes—
762C4×C22⋊C4C2314yes—
763C4×C22⋊C4C2314yes—
764C4×C22⋊C4C2314yes—
765C4×C22⋊C4C2314yes—
766C4×C22⋊C4C2314yes—
767C4×C22⋊C4C2314yescomplemented
768C4×C22⋊C4C2314yescomplemented
769C4×C22⋊C4C2314yescomplemented
770C2×#95C2312yes—
771C2×#95C2312yes—
772C2×#95C2314yes—
773C25—24no—
774C25—44no—
775C25—44no—
776C25—44no—
777C25C2411yescharacteristic
778C25C2412yes—
779C25C2411yescharacteristic
780C25C2411yescharacteristic
781C25C2411yescharacteristic
782C25C2412yes—
783C2×#41—24no—
784C2×#41—44no—
785C22×Q8—44no—
786C22×Q8C2×D418yes—
787C22×Q8C2411yescharacteristic
788C22×Q8C2412yes—
789C22×Q8C2412yes—
790C22×Q8C2412yes—
791C22×Q8C2412yes—
792C22×D4—24no—
793C22×D4—24no—
794C22×D4—24no—
795C22×D4—44no—
796C22×D4—44no—
797C22×D4—44no—
798C22×D4C2412yes—
799C22×D4C2412yes—
800C22×D4C2412yes—
801C22×D4C2414yes—
802C22×D4C2412yes—
803C22×D4C2412yes—
804C22×D4C2414yes—
805C22×D4C2411yescharacteristic
806C22×D4C2414yes—
807C22×D4C2414yes—
808C22×D4C2414yes—
809C23×C4—24no—
810C23×C4—24no—
811C23×C4—24no—
812C23×C4—24no—
813C23×C4—44no—
814C23×C4—44no—
815C23×C4—44no—
816C23×C4—44no—
817C23×C4—44no—
818C23×C4C2×D418yes—
819C23×C4C2412yes—
820C23×C4C2412yes—
821C23×C4C2411yescharacteristic
822C23×C4C2414yes—
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2411yescharacteristic
826C23×C4C2411yescharacteristic
827C23×C4C2411yescharacteristic
828C23×C4C2412yes—
829C23×C4C2414yes—
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2412yes—
834C23×C4C2414yes—
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2412yes—
838C23×C4C2412yes—
839C23×C4C2412yes—
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2411yescharacteristic
844C23×C4C2411yescharacteristic
845C23×C4C2411yescharacteristic
846C4⋊Q8—28no—
847C4⋊Q8—28no—
848C4⋊Q8—28no—
849#126—216no—
850#126—216no—
851#126—216no—
852#126—216no—
853#126—28no—
854#126—28no—
855#126—28no—
856#126—28no—
857#126—28no—
858#126—28no—
859#126—28no—
860#126—28no—
861#125—28no—
862#125—28no—
863#125—28no—
864#125—28no—
865#125—28no—
866#125—28no—
867#125—28no—
868#125—28no—
869#124—216no—
870#124—216no—
871#124—28no—
872#124—28no—
873#124—28no—
874#124—48no—
875#123—28no—
876#123—28no—
877#123—28no—
878#123—216no—
879#123—216no—
880#123—216no—
881#123—216no—
882#123—216no—
883#123—216no—
884#123—28no—
885#123—28no—
886#123—28no—
887#123—28no—
888#123—44no—
889#123—48no—
890#123—48no—
891C22⋊Q8—216no—
892C22⋊Q8—216no—
893C22⋊Q8—28no—
894C22⋊Q8—28no—
895C22⋊Q8—24no—
896C22⋊Q8—24no—
897C22⋊Q8—28no—
898C22⋊Q8—28no—
899C22⋊Q8—28no—
900C22⋊Q8—28no—
901C22⋊Q8—28no—
902C22⋊Q8—28no—
903C22⋊Q8—48no—
904C22⋊Q8C2×D4116yes—
905C22⋊Q8C2×D4116yes—
906C22⋊Q8C2×D4116yes—
907C22⋊Q8C2×D4116yes—
908#121—24no—
909#121—24no—
910#121—48no—
911#121—48no—
912#120—28no—
913#120—216no—
914#120—216no—
915#120—44no—
916#120—44no—
917#120—44no—
918#120—48no—
919#120—48no—
920C4×Q8—28no—
921C4×Q8—28no—
922C4×Q8—28no—
923C4×Q8—28no—
924C4×Q8—28no—
925C4×Q8—28no—
926C4×Q8—28no—
927C4×D4—28no—
928C4×D4—28no—
929C4×D4—28no—
930C4×D4—28no—
931C4×D4—28no—
932C4×D4—28no—
933C4×D4—28no—
934C4×D4—28no—
935C4×D4—216no—
936C4×D4—216no—
937C4×D4—28no—
938C4×D4—28no—
939C4×D4—28no—
940C4×D4—48no—
941#117—24no—
942#117—24no—
943#117—28no—
944#117—24no—
945#117—28no—
946#117—24no—
947#117—24no—
948#117—28no—
949#117—28no—
950#117—216no—
951#117—216no—
952#117—28no—
953#117—28no—
954#117—28no—
955#117—216no—
956#117—216no—
957#117—28no—
958#117—28no—
959#117—44no—
960#117—44no—
961#117—44no—
962C2×C4⋊C4—24no—
963C2×C4⋊C4—24no—
964C2×C4⋊C4—24no—
965C2×C4⋊C4—24no—
966C2×C4⋊C4—24no—
967C2×C4⋊C4—24no—
968C2×C4⋊C4—24no—
969C2×C4⋊C4—28no—
970C2×C4⋊C4—48no—
971C2×C4⋊C4C2×D418yes—
972C2×C4⋊C4C2×D418yes—
973C2×C4⋊C4C2×D418yes—
974C2×C4⋊C4C2411yescharacteristic
975C2×C4⋊C4C2411yescharacteristic
976C2×C4⋊C4C2414yes—
977C2×C4⋊C4C2412yes—
978C2×C4⋊C4C2411yescharacteristic
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2414yes—
981C2×C4⋊C4C2414yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2414yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2412yes—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
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⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2414yes—
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2414yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C22⋊C4—24no—
1031C2×C22⋊C4—28no—
1032C2×C22⋊C4—24no—
1033C2×C22⋊C4—24no—
1034C2×C22⋊C4—24no—
1035C2×C22⋊C4—24no—
1036C2×C22⋊C4—24no—
1037C2×C22⋊C4—24no—
1038C2×C22⋊C4—28no—
1039C2×C22⋊C4—28no—
1040C2×C22⋊C4—28no—
1041C2×C22⋊C4—28no—
1042C2×C22⋊C4—24no—
1043C2×C22⋊C4—24no—
1044C2×C22⋊C4—24no—
1045C2×C22⋊C4—24no—
1046C2×C22⋊C4—24no—
1047C2×C22⋊C4—216no—
1048C2×C22⋊C4—216no—
1049C2×C22⋊C4—44no—
1050C2×C22⋊C4—48no—
1051C2×C22⋊C4—48no—
1052C2×C22⋊C4C2×D418yes—
1053C2×C22⋊C4C2×D418yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2412yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2414yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
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⋊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⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C42—24no—
1125C2×C42—24no—
1126C2×C42—24no—
1127C2×C42—28no—
1128C2×C42C2414yes—
1129C2×C42C2412yes—
1130C2×C42C2414yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2412yes—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2412yes—
1140C2×C42C2412yes—
1141C2×C42C2412yes—
1142C2×C42C2412yes—
1143C2×C42C2414yes—
1144C2×C42C2414yes—
1145C2×C42C2414yes—
1146C2×C42C2414yes—
1147C2×C42C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2412yes—
1151#95C2414yes—
1152#95C2412yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2412yes—
1164#95C2412yes—
1165#95C2412yes—
1166#95C2412yes—
1167#95C2414yes—
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#95C2414yes—
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188C24—22no—
1189C24—24no—
1190C24—24no—
1191C24—24no—
1192C24—22no—
1193C24—22no—
1194C24—24no—
1195C24—24no—
1196C24—24no—
1197C24—24no—
1198C24—28no—
1199C24—24no—
1200C24—24no—
1201C24—24no—
1202C24—42no—
1203C24—42no—
1204C24—42no—
1205C24—42no—
1206C24—44no—
1207C24—42no—
1208C24—42no—
1209C24—42no—
1210C24—44no—
1211C24—42no—
1212C24—44no—
1213C24—416no—
1214C24—416no—
1215C24—88no—
1216C24—832no—
1217C24C22×D414yes—
1218C24C2512yes—
1219C24C2512yes—
1220C24C2512yes—
1221C24C2511yescharacteristic
1222C24C2512yes—
1223C24C2511yescharacteristic
1224C24C2511yescharacteristic
1225#41—416no—
1226C2×Q8—22no—
1227C2×Q8—24no—
1228C2×Q8—24no—
1229C2×Q8—416no—
1230C2×Q8—42no—
1231C2×Q8—42no—
1232C2×Q8—42no—
1233C2×Q8—42no—
1234C2×Q8—42no—
1235C2×Q8—44no—
1236C2×Q8—44no—
1237C2×Q8C22×D418yes—
1238C2×Q8C22×D418yes—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—28no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—28no—
1248C2×D4—24no—
1249C2×D4—24no—
1250C2×D4—28no—
1251C2×D4—28no—
1252C2×D4—22no—
1253C2×D4—28no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—44no—
1267C2×D4—44no—
1268C2×D4—44no—
1269C2×D4—416no—
1270C2×D4—416no—
1271C2×D4—88no—
1272C22×C4—24no—
1273C22×C4—24no—
1274C22×C4—24no—
1275C22×C4—24no—
1276C22×C4—22no—
1277C22×C4—22no—
1278C22×C4—22no—
1279C22×C4—22no—
1280C22×C4—24no—
1281C22×C4—22no—
1282C22×C4—24no—
1283C22×C4—24no—
1284C22×C4—28no—
1285C22×C4—28no—
1286C22×C4—28no—
1287C22×C4—24no—
1288C22×C4—24no—
1289C22×C4—28no—
1290C22×C4—28no—
1291C22×C4—24no—
1292C22×C4—28no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—416no—
1298C22×C4—42no—
1299C22×C4—42no—
1300C22×C4—42no—
1301C22×C4—44no—
1302C22×C4—42no—
1303C22×C4—42no—
1304C22×C4—42no—
1305C22×C4—42no—
1306C22×C4—42no—
1307C22×C4—44no—
1308C22×C4—42no—
1309C22×C4—42no—
1310C22×C4—42no—
1311C22×C4—42no—
1312C22×C4—44no—
1313C22×C4—44no—
1314C22×C4—44no—
1315C22×C4—44no—
1316C22×C4—44no—
1317C22×C4—44no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—416no—
1322C22×C4—416no—
1323C22×C4—88no—
1324C22×C4—88no—
1325C22×C4C22×D414yes—
1326C22×C4C22×D414yes—
1327C22×C4C22×D414yes—
1328C22×C4C22×D414yes—
1329C22×C4C22×D414yes—
1330C22×C4C22×D414yes—
1331C22×C4C22×D414yes—
1332C22×C4C22×D414yes—
1333C22×C4C22×D414yes—
1334C22×C4C22×D414yes—
1335C22×C4C2514yes—
1336C22×C4C2514yes—
1337C22×C4C2514yes—
1338C22×C4C2514yes—
1339C22×C4C2512yes—
1340C22×C4C2512yes—
1341C22×C4C2512yes—
1342C22×C4C2512yes—
1343C22×C4C2512yes—
1344C22×C4C2512yes—
1345C22×C4C2512yes—
1346C22×C4C2512yes—
1347C22×C4C2512yes—
1348C22×C4C2512yes—
1349C22×C4C2512yes—
1350C22×C4C2512yes—
1351C22×C4C2511yescharacteristic
1352C22×C4C2511yescharacteristic
1353C22×C4C2511yescharacteristic
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2511yescharacteristic
1359C4⋊C4—22no—
1360C4⋊C4—22no—
1361C4⋊C4—28no—
1362C4⋊C4—24no—
1363C4⋊C4—22no—
1364C4⋊C4—22no—
1365C4⋊C4—28no—
1366C4⋊C4—28no—
1367C4⋊C4—24no—
1368C4⋊C4—24no—
1369C4⋊C4—24no—
1370C4⋊C4—24no—
1371C4⋊C4—24no—
1372C4⋊C4—28no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
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—44no—
1392C4⋊C4—44no—
1393C4⋊C4—44no—
1394C4⋊C4—44no—
1395C4⋊C4—44no—
1396C4⋊C4—44no—
1397C4⋊C4—44no—
1398C4⋊C4—44no—
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⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4C22×D418yes—
1410C4⋊C4C22×D418yes—
1411C4⋊C4C22×D418yes—
1412C4⋊C4C22×D418yes—
1413C4⋊C4C22×D418yes—
1414C4⋊C4C22×D418yes—
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—24no—
1426C22⋊C4—28no—
1427C22⋊C4—28no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—28no—
1431C22⋊C4—28no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—24no—
1436C22⋊C4—28no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—24no—
1440C22⋊C4—28no—
1441C22⋊C4—24no—
1442C22⋊C4—28no—
1443C22⋊C4—24no—
1444C22⋊C4—28no—
1445C22⋊C4—24no—
1446C22⋊C4—28no—
1447C22⋊C4—28no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—24no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—24no—
1455C22⋊C4—24no—
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⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
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⋊C4C22×D418yes—
1482C22⋊C4C22×D418yes—
1483C22⋊C4C22×D418yes—
1484C22⋊C4C22×D418yes—
1485C42—28no—
1486C42—24no—
1487C42—24no—
1488C42—24no—
1489C42—28no—
1490C42—24no—
1491C42—24no—
1492C42—24no—
1493C42—24no—
1494C42—24no—
1495C42—24no—
1496C42—24no—
1497C42—24no—
1498C42—24no—
1499C42—24no—
1500C42—44no—
1501C42—44no—
1502C42—44no—
1503C42—44no—
1504C42—44no—
1505C23—22no—
1506C23—22no—
1507C23—22no—
1508C23—22no—
1509C23—28no—
1510C23—22no—
1511C23—24no—
1512C23—22no—
1513C23—22no—
1514C23—24no—
1515C23—22no—
1516C23—22no—
1517C23—28no—
1518C23—28no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—24no—
1525C23—24no—
1526C23—24no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—24no—
1531C23—24no—
1532C23—24no—
1533C23—22no—
1534C23—44no—
1535C23—416no—
1536C23—416no—
1537C23—48no—
1538C23—48no—
1539C23—416no—
1540C23—44no—
1541C23—44no—
1542C23—44no—
1543C23—44no—
1544C23—44no—
1545C23—48no—
1546C23—44no—
1547C23—44no—
1548C23—44no—
1549C23—48no—
1550C23—88no—
1551C23—88no—
1552C23—88no—
1553C23—84no—
1554C23—88no—
1555C23—84no—
1556C23—88no—
1557C23—864no—
1558C23C23×D412yes—
1559C23C23×D412yes—
1560C23C23×D412yes—
1561C23#58514yes—
1562C23#58514yes—
1563C23#58514yes—
1564C23C2611yescharacteristic
1565Q8—48no—
1566Q8—48no—
1567Q8—44no—
1568Q8—84no—
1569Q8—84no—
1570D4—416no—
1571D4—44no—
1572D4—48no—
1573D4—48no—
1574D4—48no—
1575D4—48no—
1576D4—88no—
1577D4—88no—
1578D4—84no—
1579D4—164no—
1580D4—164no—
1581C2×C4—22no—
1582C2×C4—22no—
1583C2×C4—22no—
1584C2×C4—24no—
1585C2×C4—24no—
1586C2×C4—22no—
1587C2×C4—22no—
1588C2×C4—22no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—28no—
1592C2×C4—28no—
1593C2×C4—28no—
1594C2×C4—28no—
1595C2×C4—22no—
1596C2×C4—22no—
1597C2×C4—22no—
1598C2×C4—22no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—24no—
1608C2×C4—24no—
1609C2×C4—24no—
1610C2×C4—24no—
1611C2×C4—24no—
1612C2×C4—24no—
1613C2×C4—24no—
1614C2×C4—24no—
1615C2×C4—24no—
1616C2×C4—24no—
1617C2×C4—24no—
1618C2×C4—24no—
1619C2×C4—24no—
1620C2×C4—24no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—24no—
1624C2×C4—24no—
1625C2×C4—24no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—24no—
1629C2×C4—24no—
1630C2×C4—24no—
1631C2×C4—24no—
1632C2×C4—22no—
1633C2×C4—44no—
1634C2×C4—44no—
1635C2×C4—44no—
1636C2×C4—44no—
1637C2×C4—44no—
1638C2×C4—44no—
1639C2×C4—416no—
1640C2×C4—48no—
1641C2×C4—44no—
1642C2×C4—44no—
1643C2×C4—48no—
1644C2×C4—44no—
1645C2×C4—44no—
1646C2×C4—44no—
1647C2×C4—48no—
1648C2×C4—48no—
1649C2×C4—84no—
1650C2×C4—84no—
1651C2×C4—84no—
1652C2×C4—84no—
1653C2×C4—88no—
1654C2×C4—88no—
1655C2×C4—84no—
1656C2×C4C23×D412yes—
1657C2×C4C23×D412yes—
1658C2×C4C23×D414yes—
1659C2×C4C23×D414yes—
1660C2×C4C23×D414yes—
1661C2×C4C23×D412yes—
1662C2×C4C23×D412yes—
1663C2×C4C23×D414yes—
1664C22—28no—
1665C22—28no—
1666C22—22no—
1667C22—22no—
1668C22—22no—
1669C22—22no—
1670C22—28no—
1671C22—22no—
1672C22—22no—
1673C22—24no—
1674C22—22no—
1675C22—416no—
1676C22—416no—
1677C22—44no—
1678C22—44no—
1679C22—42no—
1680C22—42no—
1681C22—44no—
1682C22—44no—
1683C22—44no—
1684C22—44no—
1685C22—44no—
1686C22—44no—
1687C22—42no—
1688C22—42no—
1689C22—42no—
1690C22—42no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—816no—
1697C22—88no—
1698C22—88no—
1699C22—816no—
1700C22#348514yes—
1701C22#348714yes—
1702C22C24×D411yescharacteristic
1703C22C2×#58512yes—
1704C22C2×#58512yes—
1705C22C2×#58512yes—
1706C4—22no—
1707C4—22no—
1708C4—22no—
1709C4—22no—
1710C4—24no—
1711C4—24no—
1712C4—24no—
1713C4—24no—
1714C4—44no—
1715C4—44no—
1716C4—44no—
1717C4—44no—
1718C4—42no—
1719C4—42no—
1720C4—42no—
1721C4—42no—
1722C4—42no—
1723C4—42no—
1724C4—42no—
1725C4—42no—
1726C4—42no—
1727C4—42no—
1728C4—42no—
1729C4—42no—
1730C2—24no—
1731C2—24no—
1732C2—44no—
1733C2—42no—
1734C2—82no—
1735C2—82no—
1736C2—82no—
1737C2C2×#348511yescharacteristic
1738C2C2×#348711yescharacteristic
1739C2#6281111yescharacteristic
1740C2#6302614yes—
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×#3495C2semidirect
2. C22×#551C2semidirect
3. #59132C2semidirect
4. #59048C2semidirect
5. #51891C2semidirect
6. #51528C2semidirect
7. #43548C2semidirect
8. #43545C2semidirect
9. #43533C2semidirect
10. #43528C2semidirect
11. #38047C2semidirect
12. #38039C2semidirect
13. #37843C2semidirect
14. #37833C2semidirect
15. #37187C2semidirect
16. #37186C2semidirect
17. #36962C2semidirect
18. #36711C2semidirect
19. #36427C2semidirect
20. #36341C2semidirect
21. #36162C2semidirect
22. #36158C2semidirect
23. #35679C2semidirect
24. #35672C2semidirect
25. #35454C2semidirect
26. #35356C2semidirect
27. #35063C2semidirect
28. #35050C2semidirect
29. #34809C2semidirect
30. C2×#2482C2semidirect
31. #34359C2semidirect
33. C2×#556C22semidirect
34. C2×#554C22semidirect
35. C2×#552C22semidirect
36. C2×#552C22semidirect
37. C2×#552C22semidirect
38. C2×#552C22semidirect
46. C2×#544C22semidirect
47. C2×#542C22semidirect
48. C2×#541C22semidirect
49. C2×#536C22semidirect
50. C2×#533C22semidirect
51. C2×#529C22semidirect
62. C2×#520C22semidirect
63. C2×#519C22semidirect
71. #2855C22semidirect
72. #2853C22semidirect
73. #2853C22semidirect
76. #2849C22semidirect
79. #2733C22semidirect
80. #2732C22semidirect
81. #2731C22semidirect
82. #2730C22semidirect
83. #2730C22semidirect
84. #2730C22semidirect
85. #2729C22semidirect
86. #2728C22semidirect
87. #2727C22semidirect
88. #2725C22semidirect
89. #2723C22semidirect
90. #2721C22semidirect
91. #2721C22semidirect
92. #2721C22semidirect
93. #2718C22semidirect
94. #2718C22semidirect
95. #2716C22semidirect
96. #2716C22semidirect
97. #2710C22semidirect
98. #2707C22semidirect
99. #2706C22semidirect
100. #2705C22semidirect
101. #2696C22semidirect
102. #2694C22semidirect
103. #2694C22semidirect
104. #2694C22semidirect
108. #2674C22semidirect
109. #2674C22semidirect
111. #2638C22semidirect
112. #2635C22semidirect
114. #2626C22semidirect
115. #2626C22semidirect
116. #2623C22semidirect
117. #2617C22semidirect
119. #2600C22semidirect
120. #2583C22semidirect
121. #2579C22semidirect
122. #2564C22semidirect
124. #2561C22semidirect
125. #2558C22semidirect
126. #2554C22semidirect
127. #2543C22semidirect
129. #2539C22semidirect
131. #2534C22semidirect
132. #2519C22semidirect
133. #2512C22semidirect
134. #2502C22semidirect
135. #2501C22semidirect
136. #2488C22semidirect
137. #2487C22semidirect
138. #2487C22semidirect
139. #2486C22semidirect
140. #2485C22semidirect
141. #2484C22semidirect
142. #2484C22semidirect
143. #2484C22semidirect
144. #2484C22semidirect
156. #2482C22semidirect
157. #2482C22semidirect
158. #2482C22semidirect
159. #2482C22semidirect
160. #2482C22semidirect
161. #2482C22semidirect
162. #2482C22semidirect
163. #2481C22semidirect
164. #2480C22semidirect
165. #2480C22semidirect
166. #2479C22semidirect
167. #2479C22semidirect
168. #2479C22semidirect
169. #2479C22semidirect
170. #2478C22semidirect
171. #2478C22semidirect
172. #2475C22semidirect
173. #2475C22semidirect
174. #2474C22semidirect
176. #2472C22semidirect
177. #2471C22semidirect
178. #2471C22semidirect
179. #2470C22semidirect
180. #2469C22semidirect
181. #2469C22semidirect
182. #2467C22semidirect
183. #2467C22semidirect
184. #2467C22semidirect
185. #2460C22semidirect
186. #2460C22semidirect
187. #2458C22semidirect
188. #2458C22semidirect
189. #2456C22semidirect
190. #2454C22semidirect
191. #2448C22semidirect
192. #2448C22semidirect
193. #2448C22semidirect
194. #2448C22semidirect
195. #2443C22semidirect
196. #2441C22semidirect
197. #2438C22semidirect
198. #2437C22semidirect
200. #2427C22semidirect
201. #2425C22semidirect
203. #2423C22semidirect
204. #2423C22semidirect
205. #2421C22semidirect
206. #2421C22semidirect
207. #2418C22semidirect
208. #2415C22semidirect
209. #2413C22semidirect
210. #2413C22semidirect
211. #2413C22semidirect
213. #2412C22semidirect
219. #2411C22semidirect
222. #2406C22semidirect
226. #2404C22semidirect
227. #2395C22semidirect
228. #2395C22semidirect
229. C2×#399C22semidirect
230. C2×#397C22semidirect
231. #2378C22semidirect
232. #2368C22semidirect
233. #2367C22semidirect
234. #2363C22semidirect
235. #2362C22semidirect
236. #2359C22semidirect
237. #2358C22semidirect
238. #2354C22semidirect
239. #2344C22semidirect
240. #2344C22semidirect
241. #2344C22semidirect
244. #2342C22semidirect
245. #2332C22semidirect
246. #2329C22semidirect
247. #2325C22semidirect
249. #2321C22semidirect
250. #2321C22semidirect
251. #2317C22semidirect
252. #2313C22semidirect
253. #2313C22semidirect
254. #2310C22semidirect
255. #2310C22semidirect
257. C4×#123C22semidirect
258. C4×#123C22semidirect
260. #2296C22semidirect
261. #2296C22semidirect
262. C2×#388C22semidirect
266. #2280C22semidirect
297. C2×C4⋊Q8C23semidirect
298. C2×C4⋊Q8C23semidirect
299. C2×C4⋊Q8C23semidirect
311. C2×#126C23semidirect
312. C2×#126C23semidirect
313. C2×#126C23semidirect
314. C2×#126C23semidirect
315. C2×#125C23semidirect
316. C2×#125C23semidirect
317. C2×#125C23semidirect
318. C2×#125C23semidirect
319. C2×#125C23semidirect
320. C2×#125C23semidirect
321. C2×#125C23semidirect
322. C2×#125C23semidirect
329. C2×#124C23semidirect
351. C2×C22⋊Q8D4semidirect
365. C2×C22⋊Q8C23semidirect
366. C2×C22⋊Q8C23semidirect
367. C2×C22⋊Q8C23semidirect
368. C2×C22⋊Q8C23semidirect
384. C2×C4×Q8C23semidirect
385. C2×C4×Q8C23semidirect
386. C2×C4×Q8C23semidirect
387. C2×C4×Q8C23semidirect
388. C2×C4×Q8C23semidirect
389. C2×C4×Q8C23semidirect
390. C2×C4×Q8C23semidirect
406. C2×C4×D4C23semidirect
428. C2×#117C23semidirect
429. C2×#117C23semidirect
430. C2×#117C23semidirect
442. C22×C4⋊C4C23semidirect
473. #400C23semidirect
474. #400C23semidirect
475. #400C23semidirect
476. #400C23semidirect
477. #400C23semidirect
478. #400C23semidirect
490. #399C23semidirect
491. #399C23semidirect
492. #399C23semidirect
493. #399C23semidirect
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
521. #397C23semidirect
522. #397C23semidirect
523. #397C23semidirect
524. #397C23semidirect
525. #397C23semidirect
533. #396C23semidirect
534. #396C23semidirect
535. #396C23semidirect
536. #396C23semidirect
537. #396C23semidirect
538. #395C23semidirect
539. #395C23semidirect
554. #394C23semidirect
555. #394C23semidirect
560. #393C23semidirect
561. #393C23semidirect
568. #392C23semidirect
569. #391C23semidirect
570. #391C23semidirect
571. #391C23semidirect
572. #391C23semidirect
573. #391C23semidirect
574. #391C23semidirect
586. #390C23semidirect
587. #390C23semidirect
588. #389C23semidirect
589. #389C23semidirect
590. #389C23semidirect
591. #389C23semidirect
592. #389C23semidirect
593. #389C23semidirect
594. #389C23semidirect
595. #389C23semidirect
596. #389C23semidirect
597. #389C23semidirect
598. #389C23semidirect
599. #389C23semidirect
600. #389C23semidirect
628. #388C23semidirect
629. #388C23semidirect
630. #388C23semidirect
631. #388C23semidirect
632. #388C23semidirect
633. #388C23semidirect
634. #388C23semidirect
635. #388C23semidirect
636. #388C23semidirect
637. #388C23semidirect
638. #388C23semidirect
639. #388C23semidirect
640. #388C23semidirect
641. #388C23semidirect
642. #387C23semidirect
643. #387C23semidirect
644. #387C23semidirect
645. #387C23semidirect
646. #387C23semidirect
647. #387C23semidirect
648. #387C23semidirect
649. #387C23semidirect
650. #387C23semidirect
651. #387C23semidirect
652. #387C23semidirect
653. #387C23semidirect
654. #387C23semidirect
655. #387C23semidirect
656. #387C23semidirect
657. #387C23semidirect
658. #387C23semidirect
659. #387C23semidirect
660. #387C23semidirect
661. #387C23semidirect
662. #387C23semidirect
678. #386C23semidirect
679. #386C23semidirect
680. #386C23semidirect
681. #386C23semidirect
705. #385C23semidirect
706. #385C23semidirect
707. #385C23semidirect
708. #385C23semidirect
709. #384C23semidirect
710. #384C23semidirect
711. #382C23semidirect
734. #380C23semidirect
735. #380C23semidirect
736. #380C23semidirect
751. C4×C4⋊C4C23semidirect
752. C4×C4⋊C4C23semidirect
753. C4×C4⋊C4C23semidirect
754. C4×C4⋊C4C23semidirect
755. C4×C4⋊C4C23semidirect
756. C4×C4⋊C4C23semidirect
757. C4×C4⋊C4C23semidirect
767. C4×C22⋊C4C23semidirect
768. C4×C22⋊C4C23semidirect
769. C4×C22⋊C4C23semidirect

Maximal subgroups

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

subgroupindex
C2×#34952
C22×#5512
#591322
#590482
#518912
#515282
#435482
#435452
#435332
#435282
#380472
#380392
#378432
#378332
#371872
#371862
#369622
#367112
#364272
#363412
#361622
#361582
#356792
#356722
#354542
#353562
#350632
#350502
#348092
C2×#24822
#343592