Finite Group Databasebeta

← #7676108

Subgroups — #7676108

Order 512.

7600 conjugacy classes of subgroups.

The subgroup lattice has 1851 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3491C211yesmaximal, characteristic, complemented
2C22×#551C211yesmaximal, characteristic, complemented
3#59310C214yesmaximal, complemented
4#59273C214yesmaximal, complemented
5#59108C214yesmaximal, complemented
6#59105C214yesmaximal, complemented
7#44020C214yesmaximal, complemented
8#43976C214yesmaximal, complemented
9#43959C214yesmaximal, complemented
10#43935C214yesmaximal, complemented
11#38917C212yesmaximal, complemented
12#38912C212yesmaximal, complemented
13#38047C212yesmaximal, complemented
14#38047C212yesmaximal, complemented
15#38044C212yesmaximal, complemented
16#38039C212yesmaximal, complemented
17#36427C212yesmaximal, complemented
18#36317C212yesmaximal, complemented
19#35391C211yesmaximal, characteristic, complemented
20#35350C211yesmaximal, characteristic, complemented
21#35349C211yesmaximal, characteristic, complemented
22#35348C211yesmaximal, characteristic
23#35097C211yesmaximal, characteristic, complemented
24#34983C211yesmaximal, characteristic, complemented
25#34982C211yesmaximal, characteristic, complemented
26C2×#2482C211yesmaximal, characteristic, complemented
27C2×#2411C211yesmaximal, characteristic, complemented
28#34248C211yesmaximal, characteristic, complemented
29#34199C211yesmaximal, characteristic, complemented
30#34198C211yesmaximal, characteristic, complemented
31#34052C211yesmaximal, characteristic, complemented
32#3491—216no—
33C2×#552C2212yescomplemented
34C2×#552C2212yescomplemented
35C2×#552C2212yescomplemented
36C2×#552C2212yescomplemented
37C2×#551—216no—
38C2×#551C2214yes—
39C2×#551C2214yes—
40C2×#551C2214yescomplemented
41C2×#551C2214yescomplemented
42C2×#551C2212yescomplemented
43C2×#551C2212yescomplemented
44C2×#551C2212yescomplemented
45C2×#551C2212yescomplemented
46C2×#543C2211yescharacteristic
47C2×#539C2212yescomplemented
48C2×#539C2212yescomplemented
49C2×#534C2211yescharacteristic
50C2×#529C2212yescomplemented
51C2×#529C2212yescomplemented
52C22×#126C2211yescharacteristic, complemented
53C22×#126C2211yescharacteristic, complemented
54C22×#124C2211yescharacteristic, complemented
55C22×#123C2211yescharacteristic
56C22×#123C2211yescharacteristic
57C22×#123C2211yescharacteristic, complemented
58C22×#123C2211yescharacteristic, complemented
59C22×C22⋊Q8C2211yescharacteristic
60C22×C22⋊Q8C2211yescharacteristic, complemented
61C22×#120C2211yescharacteristic
62C22×#120C2211yescharacteristic
63C2×#518C2211yescharacteristic
64C2×#518C2211yescharacteristic
65C2×#518C2211yescharacteristic
66C22×C4×D4C2211yescharacteristic
67C22×C4×D4C2211yescharacteristic, complemented
68C22×#117C2211yescharacteristic
69C22×#117C2211yescharacteristic
70C22×#117C2211yescharacteristic
71C22×#117C2211yescharacteristic, complemented
72C23×C22⋊C4C2211yescharacteristic
73C23×C22⋊C4C2211yescharacteristic
74#2853C2212yescomplemented
75#2853C2212yescomplemented
76#2853C2212yescomplemented
77#2849C2212yescomplemented
78#2848C2212yescomplemented
79#2848C2212yescomplemented
80#2727C2214yescomplemented
81#2727C2214yescomplemented
82#2725C2214yescomplemented
83#2725C2214yescomplemented
84#2723C2214yescomplemented
85#2723C2214yescomplemented
86#2723C2214yescomplemented
87#2723C2214yescomplemented
88#2721C2214yescomplemented
89#2721C2214yescomplemented
90#2720C2214yescomplemented
91#2720C2214yescomplemented
92#2718C2214yescomplemented
93#2718C2214yescomplemented
94#2715C2214yescomplemented
95#2710C2214yescomplemented
96#2710C2214yescomplemented
97#2706C2214yescomplemented
98#2706C2214yescomplemented
99#2695C2214yescomplemented
100#2680C2214yescomplemented
101#2674C2214yescomplemented
102#2672C2214yescomplemented
103#2672C2214yescomplemented
104#2626C2212yescomplemented
105#2626C2212yescomplemented
106#2623C2212yescomplemented
107#2623C2212yescomplemented
108#2623C2212yescomplemented
109#2622C2212yescomplemented
110#2583C2212yescomplemented
111#2583C2212yescomplemented
112#2579C2212yescomplemented
113#2579C2212yescomplemented
114#2553C2214yescomplemented
115#2549C2214yescomplemented
116#2549C2214yescomplemented
117#2542C2214yescomplemented
118#2534C2214yes—
119#2521C2214yescomplemented
120#2519C2214yescomplemented
121#2519C2214yescomplemented
122#2512C2214yescomplemented
123#2512C2214yescomplemented
124#2502C2212yescomplemented
125#2501C2214yescomplemented
126#2498C2214yescomplemented
127#2498C2214yescomplemented
128#2491C2214yescomplemented
129#2489C2214yescomplemented
130#2488C2214yescomplemented
131#2487C2212yescomplemented
132#2484C2212yescomplemented
133#2484C2212yescomplemented
134#2482C2212yescomplemented
135#2482C2212yescomplemented
136#2482C2212yescomplemented
137#2482C2212yescomplemented
138#2482C2214yescomplemented
139#2482C2212yescomplemented
140#2482C2212yescomplemented
141#2482C2214yescomplemented
142#2482C2212yescomplemented
143#2482C2212yescomplemented
144#2479C2214yescomplemented
145#2479C2214yescomplemented
146#2479C2214yescomplemented
147#2479C2214yescomplemented
148#2475C2214yescomplemented
149#2475C2214yescomplemented
150#2474C2214yescomplemented
151#2470C2214yescomplemented
152#2469C2214yescomplemented
153#2469C2214yescomplemented
154#2468C2214yescomplemented
155#2466C2214yescomplemented
156#2461C2214yescomplemented
157#2461C2214yescomplemented
158#2455C2214yescomplemented
159#2455C2214yescomplemented
160#2450C2214yescomplemented
161#2449C2214yescomplemented
162#2449C2214yescomplemented
163#2444C2214yescomplemented
164#2443C2214yescomplemented
165#2441C2214yescomplemented
166#2440C2214yescomplemented
167#2440C2214yescomplemented
168#2438C2214yescomplemented
169#2437C2214yescomplemented
170#2437C2214yescomplemented
171#2437C2214yescomplemented
172#2437C2214yescomplemented
173#2437C2214yescomplemented
174#2434C2212yescomplemented
175#2429C2214yescomplemented
176#2425C2214yescomplemented
177#2425C2214yescomplemented
178#2424C2214yes—
179#2424C2214yes—
180#2422C2214yescomplemented
181#2419C2214yescomplemented
182#2418C2214yes—
183#2418C2214yes—
184#2418C2214yescomplemented
185#2418C2214yescomplemented
186#2418C2214yescomplemented
187#2415C2214yescomplemented
188#2415C2214yescomplemented
189#2413C2214yescomplemented
190#2411C2212yes—
191#2411C2212yes—
192#2411C2212yes—
193#2411C2212yes—
194#2411C2212yes—
195#2411C2212yes—
196#2411C2214yescomplemented
197#2411C2214yescomplemented
198#2410C2212yes—
199#2410C2212yes—
200#2409C2212yescomplemented
201#2408C2214yes—
202#2405C2212yescomplemented
203#2405C2212yescomplemented
204C2×#399C2212yescomplemented
205C2×#397C2212yescomplemented
206C2×#396C2212yescomplemented
207C2×#394C2212yescomplemented
208#2362C2214yescomplemented
209#2361C2214yescomplemented
210#2359C2214yescomplemented
211#2359C2214yescomplemented
212#2359C2214yescomplemented
213#2358C2214yescomplemented
214#2358C2214yescomplemented
215#2354C2214yescomplemented
216#2349C2214yescomplemented
217#2349C2214yescomplemented
218D4×C4⋊C4C2214yescomplemented
219D4×C4⋊C4C2214yescomplemented
220#2344C2212yescomplemented
221#2344C2212yescomplemented
222#2342C2214yescomplemented
223#2342C2212yescomplemented
224#2342C2212yescomplemented
225D4×C22⋊C4C2214yescomplemented
226#2322C2214yescomplemented
227#2321C2212yes—
228#2321C2212yes—
229#2317C2212yescomplemented
230#2317C2212yescomplemented
231#2317C2212yescomplemented
232#2317C2212yescomplemented
233#2317C2212yescomplemented
234#2316C2214yescomplemented
235#2315C2211yescharacteristic
236#2315C2211yescharacteristic
237#2315C2211yescharacteristic
238#2315C2211yescharacteristic
239#2315C2211yescharacteristic
240#2315C2211yescharacteristic
241#2315C2211yescharacteristic
242#2315C2212yescomplemented
243#2308C2211yescharacteristic
244#2308C2211yescharacteristic
245#2308C2211yescharacteristic
246C4×#123C2214yescomplemented
247C4×#120C2212yes—
248C4×#120C2212yes—
249#2296C2212yescomplemented
250#2296C2212yescomplemented
251#2296C2212yescomplemented
252#2296C2212yescomplemented
253#2296C2212yescomplemented
254C2×#390C2212yescomplemented
255C2×#388C2212yescomplemented
256C2×#388C2212yescomplemented
257C2×#388C2212yescomplemented
258C2×#386C2211yescharacteristic
259C2×#385C2211yescharacteristic
260C2×#385C2211yescharacteristic
261C2×#385C2211yescharacteristic
262C2×#385C2212yescomplemented
263#2285C2214yescomplemented
264C2×#381C2211yescharacteristic
265C2×#379C2211yescharacteristic
266C2×#379C2211yescharacteristic
267C2×#379C2211yescharacteristic
268#2273C2211yescharacteristic
269C26C2311yescharacteristic
270C23×Q8C2311yescharacteristic
271C23×D4C2311yescharacteristic
272C23×D4C2311yescharacteristic
273C23×D4C2311yescharacteristic
274C23×D4C2312yes—
275C23×D4C2311yescharacteristic
276C24×C4C2311yescharacteristic
277C24×C4C2311yescharacteristic
278C24×C4C2311yescharacteristic
279C24×C4C2311yescharacteristic
280C24×C4C2311yescharacteristic
281#552—216no—
282#552—216no—
283#552—216no—
284#552—216no—
285#551—232no—
286#551—232no—
287#551—216no—
288#551—216no—
289#551—232no—
290#551—232no—
291#551—216no—
292#551—216no—
293#543—28no—
294#539—216no—
295#539—216no—
296#534—28no—
297C2×C4⋊Q8C2314yescomplemented
298#529—216no—
299#529—216no—
300C2×#126—28no—
301C2×#126—28no—
302C2×#126C2314yes—
303C2×#126C2314yes—
304C2×#126C2314yes—
305C2×#126C2314yes—
306C2×#126C2312yescomplemented
307C2×#126C2312yescomplemented
308C2×#126C2312yescomplemented
309C2×#126C2312yescomplemented
310C2×#126C2312yescomplemented
311C2×#126C2312yescomplemented
312C2×#126C2312yescomplemented
313C2×#126C2312yescomplemented
314C2×#125C2312yescomplemented
315C2×#125C2312yescomplemented
316C2×#125C2312yescomplemented
317C2×#125C2312yescomplemented
318C2×#125C2312yescomplemented
319C2×#125C2312yescomplemented
320C2×#124—28no—
321C2×#124C2314yes—
322C2×#124C2314yes—
323C2×#124C2312yescomplemented
324C2×#124C2312yescomplemented
325C2×#123—28no—
326C2×#123—28no—
327C2×#123—28no—
328C2×#123D4116yescomplemented
329C2×#123C2312yes—
330C2×#123C2312yes—
331C2×#123C2312yes—
332C2×#123C2312yes—
333C2×#123C2312yes—
334C2×#123C2314yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2312yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2312yes—
342C2×#123C2312yes—
343C2×#123C2312yes—
344C2×#123C2312yes—
345C2×#123C2312yescomplemented
346C2×#123C2312yescomplemented
347C2×#123C2312yescomplemented
348C2×#123C2312yescomplemented
349C2×#123C2314yescomplemented
350C2×C22⋊Q8—28no—
351C2×C22⋊Q8—28no—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2314yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2312yes—
362C2×C22⋊Q8C2314yes—
363C2×C22⋊Q8C2314yes—
364C2×C22⋊Q8C2312yescomplemented
365C2×C22⋊Q8C2312yescomplemented
366C2×C22⋊Q8C2312yescomplemented
367C2×C22⋊Q8C2312yescomplemented
368C2×C22⋊Q8C2314yescomplemented
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#120—28no—
374C2×#120—28no—
375C2×#120C2312yes—
376C2×#120C2312yes—
377C2×#120C2314yes—
378C2×#120C2314yes—
379C2×#120C2312yes—
380C2×#120C2314yes—
381C2×#120C2312yes—
382#518—28no—
383#518—28no—
384#518—28no—
385C2×C4×Q8C2312yescomplemented
386C2×C4×Q8C2312yescomplemented
387C2×C4×D4—28no—
388C2×C4×D4—28no—
389C2×C4×D4C2312yes—
390C2×C4×D4C2312yes—
391C2×C4×D4C2314yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2314yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2312yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2314yes—
402C2×C4×D4C2314yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2314yes—
405C2×C4×D4C2312yescomplemented
406C2×C4×D4C2312yescomplemented
407C2×#117—28no—
408C2×#117—28no—
409C2×#117—28no—
410C2×#117—28no—
411C2×#117C2312yes—
412C2×#117C2312yes—
413C2×#117C2312yes—
414C2×#117C2312yes—
415C2×#117C2312yes—
416C2×#117C2312yes—
417C2×#117C2312yes—
418C2×#117C2312yes—
419C2×#117C2312yes—
420C2×#117C2312yes—
421C2×#117C2314yes—
422C2×#117C2312yes—
423C2×#117C2312yes—
424C2×#117C2312yes—
425C2×#117C2312yes—
426C2×#117C2312yes—
427C2×#117C2314yes—
428C2×#117C2312yescomplemented
429C2×#117C2312yescomplemented
430C2×#117C2312yescomplemented
431C2×#117C2312yescomplemented
432C22×C4⋊C4C2312yes—
433C22×C4⋊C4C2311yescharacteristic
434C22×C4⋊C4C2311yescharacteristic
435C22×C4⋊C4C2311yescharacteristic
436C22×C4⋊C4C2311yescharacteristic
437C22×C4⋊C4C2311yescharacteristic
438C22×C4⋊C4C2311yescharacteristic
439C22×C4⋊C4C2311yescharacteristic
440C22×C4⋊C4C2311yescharacteristic
441C22×C4⋊C4C2311yescharacteristic
442C22×C4⋊C4C2311yescharacteristic
443C22×C4⋊C4C2312yes—
444C22×C4⋊C4C2312yes—
445C22×C4⋊C4C2312yes—
446C22×C4⋊C4C2311yescharacteristic
447C22×C4⋊C4C2311yescharacteristic
448C22×C4⋊C4C2314yescomplemented
449C22×C22⋊C4—28no—
450C22×C22⋊C4—28no—
451C22×C22⋊C4C2311yescharacteristic
452C22×C22⋊C4C2311yescharacteristic
453C22×C22⋊C4C2311yescharacteristic
454C22×C22⋊C4C2311yescharacteristic
455C22×C22⋊C4C2311yescharacteristic
456C22×C22⋊C4C2311yescharacteristic
457C22×C22⋊C4C2311yescharacteristic
458C22×C22⋊C4C2311yescharacteristic
459C22×C22⋊C4C2311yescharacteristic
460C22×C22⋊C4C2312yes—
461C22×C22⋊C4C2312yes—
462C22×C22⋊C4C2311yescharacteristic
463C22×C22⋊C4C2311yescharacteristic
464C22×C22⋊C4C2312yes—
465C22×C22⋊C4C2314yes—
466C22×C22⋊C4C2312yes—
467C22×C22⋊C4C2314yes—
468C22×C22⋊C4C2311yescharacteristic
469C22×C22⋊C4C2312yes—
470C22×C22⋊C4C2312yes—
471C22×C22⋊C4C2311yescharacteristic
472C22×C22⋊C4C2311yescharacteristic
473C22×C22⋊C4C2311yescharacteristic
474C22×C22⋊C4C2311yescharacteristic
475C22×C22⋊C4C2312yes—
476C22×C22⋊C4C2312yes—
477C22×C22⋊C4C2311yescharacteristic
478C22×C22⋊C4C2311yescharacteristic
479C22×C22⋊C4C2311yescharacteristic
480C22×C22⋊C4C2312yes—
481C22×C22⋊C4C2312yes—
482C22×C22⋊C4C2312yes—
483C22×C22⋊C4C2312yes—
484C22×C22⋊C4C2312yes—
485C22×C22⋊C4C2312yes—
486C22×C22⋊C4C2312yes—
487C22×C22⋊C4C2311yescharacteristic
488C22×C22⋊C4C2311yescharacteristic
489C22×C22⋊C4C2311yescharacteristic
490C22×C22⋊C4C2311yescharacteristic
491C22×C42C2311yescharacteristic
492C22×C42C2311yescharacteristic
493C22×C42C2311yescharacteristic
494C22×C42C2311yescharacteristic
495C22×C42C2311yescharacteristic
496C22×C42C2312yes—
497#400C2314yescomplemented
498#400C2314yescomplemented
499#400C2314yescomplemented
500#400C2314yescomplemented
501#399C2314yes—
502#399C2314yes—
503#399C2314yes—
504#399C2314yes—
505#399C2314yes—
506#399C2314yes—
507#399C2314yes—
508#399C2314yes—
509#399C2314yescomplemented
510#399C2314yescomplemented
511#399C2314yescomplemented
512#399C2314yescomplemented
513#398C2314yescomplemented
514#398C2314yescomplemented
515#398C2314yescomplemented
516#398C2314yescomplemented
517#398C2314yescomplemented
518#398C2314yescomplemented
519#398C2314yescomplemented
520#398C2314yescomplemented
521#398C2314yescomplemented
522#397C2314yes—
523#397C2314yes—
524#397C2314yes—
525#397C2314yes—
526#397C2314yes—
527#397C2314yes—
528#397C2314yescomplemented
529#397C2314yescomplemented
530#397C2314yescomplemented
531#397C2314yescomplemented
532#397C2314yescomplemented
533#396C2314yes—
534#396C2314yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2314yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yescomplemented
544#396C2314yescomplemented
545#395C2314yescomplemented
546#395C2314yescomplemented
547#395C2314yescomplemented
548#395C2314yescomplemented
549#395C2314yescomplemented
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yescomplemented
563#394C2314yescomplemented
564#393C2314yes—
565#393C2314yes—
566#393C2314yescomplemented
567#392C2314yes—
568#392C2314yes—
569#391C2314yescomplemented
570#391C2314yescomplemented
571#391C2314yescomplemented
572#390C2314yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#389C2314yescomplemented
581#389C2314yescomplemented
582#389C2314yescomplemented
583#389C2314yescomplemented
584#389C2314yescomplemented
585#389C2314yescomplemented
586#389C2314yescomplemented
587#389C2314yescomplemented
588#389C2314yescomplemented
589#389C2314yescomplemented
590#389C2314yescomplemented
591#389C2314yescomplemented
592#389C2314yescomplemented
593#389C2314yescomplemented
594#389C2314yescomplemented
595#389C2314yescomplemented
596#389C2314yescomplemented
597#389C2314yescomplemented
598#389C2314yescomplemented
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yescomplemented
622#388C2314yescomplemented
623#388C2314yescomplemented
624#388C2314yescomplemented
625#388C2314yescomplemented
626#388C2314yescomplemented
627#388C2314yescomplemented
628#388C2314yescomplemented
629#388C2314yescomplemented
630#388C2314yescomplemented
631#387C2314yescomplemented
632#387C2314yescomplemented
633#387C2314yescomplemented
634#387C2314yescomplemented
635#387C2314yescomplemented
636#387C2314yescomplemented
637#387C2314yescomplemented
638#387C2314yescomplemented
639#387C2314yescomplemented
640#387C2314yescomplemented
641#387C2314yescomplemented
642#387C2314yescomplemented
643#386C2312yes—
644#386C2312yes—
645#386C2314yes—
646#386C2312yes—
647#386C2312yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2312yes—
654#386C2312yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yescomplemented
663#385C2312yes—
664#385C2312yes—
665#385C2312yes—
666#385C2312yes—
667#385C2312yes—
668#385C2312yes—
669#385C2312yes—
670#385C2312yes—
671#385C2312yes—
672#385C2312yes—
673#385C2312yes—
674#385C2312yes—
675#385C2312yes—
676#385C2312yes—
677#385C2312yes—
678#385C2312yes—
679#385C2312yes—
680#385C2312yes—
681#385C2314yes—
682#385C2312yes—
683#385C2312yes—
684#385C2312yes—
685#385C2312yes—
686#385C2314yes—
687#385C2312yes—
688#385C2312yes—
689#385C2312yes—
690#385C2312yes—
691#385C2312yes—
692#385C2312yes—
693#385C2312yes—
694#385C2312yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2314yescomplemented
705#385C2314yescomplemented
706#385C2314yescomplemented
707#385C2314yescomplemented
708#385C2314yescomplemented
709#385C2314yescomplemented
710#385C2314yescomplemented
711#385C2314yescomplemented
712#385C2314yescomplemented
713#384C2314yescomplemented
714#384C2314yescomplemented
715#384C2314yescomplemented
716#384C2314yescomplemented
717#382C2314yescomplemented
718#382C2314yescomplemented
719#382C2314yescomplemented
720#381C2312yes—
721#381C2312yes—
722#381C2312yes—
723#381C2312yes—
724#381C2312yes—
725#381C2312yes—
726#381C2312yes—
727#381C2314yescomplemented
728#380C2314yes—
729#380C2314yes—
730#380C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2314yes—
735#380C2314yes—
736#380C2314yes—
737#380C2314yes—
738#380C2314yescomplemented
739#380C2314yescomplemented
740#380C2314yescomplemented
741#379C2312yes—
742#379C2312yes—
743#379C2312yes—
744#379C2312yes—
745#379C2312yes—
746#379C2312yes—
747#379C2314yes—
748#379C2312yes—
749#379C2312yes—
750#379C2312yes—
751#379C2314yes—
752#379C2314yes—
753C4×C4⋊C4C2314yescomplemented
754C4×C4⋊C4C2314yescomplemented
755C4×C4⋊C4C2314yescomplemented
756C4×C4⋊C4C2314yescomplemented
757C4×C4⋊C4C2314yescomplemented
758C4×C4⋊C4C2314yescomplemented
759C4×C4⋊C4C2314yescomplemented
760C4×C4⋊C4C2314yescomplemented
761C4×C22⋊C4C2312yes—
762C4×C22⋊C4C2312yes—
763C4×C22⋊C4C2314yes—
764C4×C22⋊C4C2314yes—
765C4×C22⋊C4C2314yes—
766C4×C22⋊C4C2314yes—
767C4×C22⋊C4C2314yescomplemented
768C4×C22⋊C4C2314yescomplemented
769C2×#95C2312yes—
770C2×#95C2312yes—
771C2×#95C2312yes—
772C2×#95C2312yes—
773C2×#95C2312yes—
774C2×#95C2312yes—
775C2×#95C2314yescomplemented
776C25—24no—
777C25—24no—
778C25—24no—
779C25—44no—
780C25—82no—
781C25C2411yescharacteristic
782C25C2412yes—
783C25C2412yes—
784C25C2411yescharacteristic
785C25C2411yescharacteristic
786C25C2411yescharacteristic
787C25C2411yescharacteristic
788C22×Q8—24no—
789C22×Q8—82no—
790C22×Q8C2412yes—
791C22×Q8C2412yes—
792C22×Q8C2414yes—
793C22×D4—24no—
794C22×D4—24no—
795C22×D4—24no—
796C22×D4—24no—
797C22×D4—24no—
798C22×D4—24no—
799C22×D4—24no—
800C22×D4—28no—
801C22×D4—44no—
802C22×D4—44no—
803C22×D4—82no—
804C22×D4—82no—
805C22×D4C2×D418yes—
806C22×D4C2412yes—
807C22×D4C2412yes—
808C22×D4C2414yes—
809C22×D4C2414yes—
810C22×D4C2412yes—
811C22×D4C2412yes—
812C22×D4C2412yes—
813C22×D4C2412yes—
814C22×D4C2414yes—
815C22×D4C2414yes—
816C23×C4—24no—
817C23×C4—24no—
818C23×C4—24no—
819C23×C4—24no—
820C23×C4—24no—
821C23×C4—24no—
822C23×C4—44no—
823C23×C4—82no—
824C23×C4—82no—
825C23×C4—82no—
826C23×C4C2×D418yes—
827C23×C4C2411yescharacteristic
828C23×C4C2414yes—
829C23×C4C2411yescharacteristic
830C23×C4C2411yescharacteristic
831C23×C4C2411yescharacteristic
832C23×C4C2411yescharacteristic
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2411yescharacteristic
836C23×C4C2411yescharacteristic
837C23×C4C2411yescharacteristic
838C23×C4C2412yes—
839C23×C4C2411yescharacteristic
840C23×C4C2411yescharacteristic
841C23×C4C2411yescharacteristic
842C23×C4C2411yescharacteristic
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2411yescharacteristic
846C23×C4C2411yescharacteristic
847C23×C4C2412yes—
848C23×C4C2411yescharacteristic
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C23×C4C2411yescharacteristic
852C23×C4C2411yescharacteristic
853C23×C4C2414yes—
854C23×C4C2412yes—
855C23×C4C2414yes—
856C23×C4C2412yes—
857C23×C4C2412yes—
858C23×C4C2412yes—
859C23×C4C2414yes—
860C23×C4C2411yescharacteristic
861C23×C4C2411yescharacteristic
862C23×C4C2412yes—
863C4⋊Q8—84no—
864#126—216no—
865#126—216no—
866#126—216no—
867#126—216no—
868#126—28no—
869#126—28no—
870#126—28no—
871#126—28no—
872#126—28no—
873#126—28no—
874#126—28no—
875#126—28no—
876#125—28no—
877#125—28no—
878#125—28no—
879#125—28no—
880#125—28no—
881#125—28no—
882#124—216no—
883#124—216no—
884#124—28no—
885#124—28no—
886#123—28no—
887#123—28no—
888#123—28no—
889#123—28no—
890#123—28no—
891#123—28no—
892#123—216no—
893#123—216no—
894#123—216no—
895#123—216no—
896#123—28no—
897#123—28no—
898#123—28no—
899#123—28no—
900#123—48no—
901#123—84no—
902#123—84no—
903#123C2×D4116yes—
904#123C2×D4116yes—
905#123C2×D4116yescomplemented
906#123C2×D4116yescomplemented
907C22⋊Q8—28no—
908C22⋊Q8—28no—
909C22⋊Q8—216no—
910C22⋊Q8—216no—
911C22⋊Q8—28no—
912C22⋊Q8—28no—
913C22⋊Q8—216no—
914C22⋊Q8—216no—
915C22⋊Q8—28no—
916C22⋊Q8—28no—
917C22⋊Q8—28no—
918C22⋊Q8—28no—
919C22⋊Q8—28no—
920C22⋊Q8—28no—
921C22⋊Q8—48no—
922C22⋊Q8—84no—
923C22⋊Q8—84no—
924#121—28no—
925#121—28no—
926#121—48no—
927#121—84no—
928#120—28no—
929#120—216no—
930#120—216no—
931#120—28no—
932#120—28no—
933#120—28no—
934#120—216no—
935C4×Q8—28no—
936C4×Q8—28no—
937C4×D4—216no—
938C4×D4—216no—
939C4×D4—28no—
940C4×D4—28no—
941C4×D4—28no—
942C4×D4—28no—
943C4×D4—28no—
944C4×D4—28no—
945C4×D4—216no—
946C4×D4—216no—
947C4×D4—216no—
948C4×D4—28no—
949C4×D4—28no—
950C4×D4—28no—
951C4×D4—28no—
952C4×D4—216no—
953C4×D4—48no—
954C4×D4—84no—
955#117—28no—
956#117—28no—
957#117—28no—
958#117—28no—
959#117—28no—
960#117—28no—
961#117—28no—
962#117—28no—
963#117—28no—
964#117—216no—
965#117—216no—
966#117—28no—
967#117—28no—
968#117—28no—
969#117—28no—
970#117—28no—
971#117—28no—
972#117—28no—
973#117—28no—
974#117—28no—
975#117—28no—
976C2×C4⋊C4—24no—
977C2×C4⋊C4—24no—
978C2×C4⋊C4—24no—
979C2×C4⋊C4—24no—
980C2×C4⋊C4—24no—
981C2×C4⋊C4—24no—
982C2×C4⋊C4—24no—
983C2×C4⋊C4—24no—
984C2×C4⋊C4—24no—
985C2×C4⋊C4—24no—
986C2×C4⋊C4—28no—
987C2×C4⋊C4—82no—
988C2×C4⋊C4—82no—
989C2×C4⋊C4—82no—
990C2×C4⋊C4—84no—
991C2×C4⋊C4C2×D418yescomplemented
992C2×C4⋊C4C2×D418yescomplemented
993C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2414yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2414yes—
1030C2×C4⋊C4C2414yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2414yes—
1037C2×C4⋊C4C2414yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2414yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C22⋊C4—24no—
1049C2×C22⋊C4—24no—
1050C2×C22⋊C4—24no—
1051C2×C22⋊C4—24no—
1052C2×C22⋊C4—24no—
1053C2×C22⋊C4—24no—
1054C2×C22⋊C4—28no—
1055C2×C22⋊C4—24no—
1056C2×C22⋊C4—24no—
1057C2×C22⋊C4—24no—
1058C2×C22⋊C4—24no—
1059C2×C22⋊C4—24no—
1060C2×C22⋊C4—24no—
1061C2×C22⋊C4—24no—
1062C2×C22⋊C4—24no—
1063C2×C22⋊C4—24no—
1064C2×C22⋊C4—28no—
1065C2×C22⋊C4—28no—
1066C2×C22⋊C4—28no—
1067C2×C22⋊C4—28no—
1068C2×C22⋊C4—24no—
1069C2×C22⋊C4—24no—
1070C2×C22⋊C4—24no—
1071C2×C22⋊C4—24no—
1072C2×C22⋊C4—28no—
1073C2×C22⋊C4—216no—
1074C2×C22⋊C4—216no—
1075C2×C22⋊C4—28no—
1076C2×C22⋊C4—28no—
1077C2×C22⋊C4—44no—
1078C2×C22⋊C4—44no—
1079C2×C22⋊C4—44no—
1080C2×C22⋊C4—82no—
1081C2×C22⋊C4—82no—
1082C2×C22⋊C4—82no—
1083C2×C22⋊C4—82no—
1084C2×C22⋊C4C2×D418yes—
1085C2×C22⋊C4C2×D418yescomplemented
1086C2×C22⋊C4C2×D418yescomplemented
1087C2×C22⋊C4#4118yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C42—24no—
1161C2×C42—24no—
1162C2×C42—24no—
1163C2×C42—24no—
1164C2×C42—24no—
1165C2×C42—28no—
1166C2×C42C2412yes—
1167C2×C42C2412yes—
1168C2×C42C2412yes—
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2414yes—
1172C2×C42C2412yes—
1173C2×C42C2412yes—
1174C2×C42C2412yes—
1175C2×C42C2414yes—
1176C2×C42C2414yes—
1177C2×C42C2412yes—
1178C2×C42C2412yes—
1179C2×C42C2412yes—
1180C2×C42C2412yes—
1181C2×C42C2414yes—
1182C2×C42C2414yes—
1183C2×C42C2414yes—
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—
1197#95C2414yes—
1198#95C2414yes—
1199#95C2414yes—
1200#95C2414yes—
1201#95C2414yes—
1202#95C2414yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2414yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218C24—22no—
1219C24—24no—
1220C24—22no—
1221C24—22no—
1222C24—22no—
1223C24—22no—
1224C24—22no—
1225C24—24no—
1226C24—24no—
1227C24—24no—
1228C24—24no—
1229C24—24no—
1230C24—24no—
1231C24—24no—
1232C24—24no—
1233C24—22no—
1234C24—22no—
1235C24—22no—
1236C24—22no—
1237C24—22no—
1238C24—42no—
1239C24—42no—
1240C24—42no—
1241C24—42no—
1242C24—42no—
1243C24—42no—
1244C24—42no—
1245C24—42no—
1246C24—42no—
1247C24—42no—
1248C24—42no—
1249C24—42no—
1250C24—42no—
1251C24—42no—
1252C24—42no—
1253C24—416no—
1254C24—416no—
1255C24—816no—
1256C24—816no—
1257C24—88no—
1258C24C22×D414yes—
1259C24C22×D414yes—
1260C24C2×#4114yes—
1261C242−1+414yes—
1262C24C2512yes—
1263C24C2512yes—
1264C24C2512yes—
1265C24C2512yes—
1266C24C2511yescharacteristic
1267C24C2511yescharacteristic
1268C24C2511yescharacteristic
1269C2×Q8—24no—
1270C2×Q8—24no—
1271C2×Q8—28no—
1272C2×Q8—44no—
1273C2×Q8—44no—
1274C2×Q8—44no—
1275C2×Q8—44no—
1276C2×Q8—88no—
1277C2×D4—232no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—28no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—28no—
1290C2×D4—28no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—28no—
1294C2×D4—28no—
1295C2×D4—28no—
1296C2×D4—44no—
1297C2×D4—44no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—416no—
1305C2×D4—416no—
1306C2×D4—816no—
1307C2×D4—88no—
1308C2×D4C22×D418yes—
1309C2×D4C22×D418yes—
1310C22×C4—232no—
1311C22×C4—22no—
1312C22×C4—22no—
1313C22×C4—22no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—22no—
1319C22×C4—22no—
1320C22×C4—22no—
1321C22×C4—22no—
1322C22×C4—22no—
1323C22×C4—22no—
1324C22×C4—22no—
1325C22×C4—22no—
1326C22×C4—22no—
1327C22×C4—22no—
1328C22×C4—22no—
1329C22×C4—22no—
1330C22×C4—22no—
1331C22×C4—22no—
1332C22×C4—22no—
1333C22×C4—22no—
1334C22×C4—28no—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—22no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—24no—
1342C22×C4—24no—
1343C22×C4—24no—
1344C22×C4—24no—
1345C22×C4—28no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—28no—
1350C22×C4—28no—
1351C22×C4—24no—
1352C22×C4—24no—
1353C22×C4—28no—
1354C22×C4—42no—
1355C22×C4—42no—
1356C22×C4—44no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—42no—
1361C22×C4—42no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—42no—
1373C22×C4—42no—
1374C22×C4—42no—
1375C22×C4—42no—
1376C22×C4—42no—
1377C22×C4—42no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—42no—
1381C22×C4—42no—
1382C22×C4—44no—
1383C22×C4—42no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4—416no—
1392C22×C4—88no—
1393C22×C4—88no—
1394C22×C4—88no—
1395C22×C4C22×D414yes—
1396C22×C4C22×D414yes—
1397C22×C4C22×D414yes—
1398C22×C4C22×D414yes—
1399C22×C4C22×D414yes—
1400C22×C4C22×D414yes—
1401C22×C4C22×D414yes—
1402C22×C4C22×D414yes—
1403C22×C4C22×D414yes—
1404C22×C4C2×#4118yes—
1405C22×C4C2514yes—
1406C22×C4C2512yes—
1407C22×C4C2514yes—
1408C22×C4C2514yes—
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2512yes—
1416C22×C4C2512yes—
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2512yes—
1420C22×C4C2512yes—
1421C22×C4C2511yescharacteristic
1422C22×C4C2512yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C22×C4C2512yes—
1427C22×C4C2512yes—
1428C22×C4C2514yes—
1429C4⋊C4—24no—
1430C4⋊C4—28no—
1431C4⋊C4—24no—
1432C4⋊C4—24no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—24no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—24no—
1440C4⋊C4—28no—
1441C4⋊C4—28no—
1442C4⋊C4—28no—
1443C4⋊C4—24no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—24no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—24no—
1457C4⋊C4—28no—
1458C4⋊C4—28no—
1459C4⋊C4—28no—
1460C4⋊C4—44no—
1461C4⋊C4—44no—
1462C4⋊C4—44no—
1463C4⋊C4—44no—
1464C4⋊C4—44no—
1465C4⋊C4—44no—
1466C4⋊C4—44no—
1467C4⋊C4—44no—
1468C4⋊C4—44no—
1469C4⋊C4—44no—
1470C4⋊C4—44no—
1471C4⋊C4—44no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4C22×D418yes—
1481C4⋊C4C22×D418yes—
1482C4⋊C4C22×D418yes—
1483C4⋊C4C22×D418yes—
1484C22⋊C4—24no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—24no—
1493C22⋊C4—24no—
1494C22⋊C4—28no—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—24no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—28no—
1506C22⋊C4—28no—
1507C22⋊C4—28no—
1508C22⋊C4—24no—
1509C22⋊C4—24no—
1510C22⋊C4—24no—
1511C22⋊C4—24no—
1512C22⋊C4—24no—
1513C22⋊C4—28no—
1514C22⋊C4—24no—
1515C22⋊C4—28no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—28no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—24no—
1523C22⋊C4—28no—
1524C22⋊C4—24no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—24no—
1528C22⋊C4—28no—
1529C22⋊C4—28no—
1530C22⋊C4—28no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4C22×D418yes—
1549C22⋊C4C22×D418yes—
1550C22⋊C4C22×D418yes—
1551C22⋊C4C22×D418yes—
1552C22⋊C4C22×D418yes—
1553C22⋊C4C22×D418yes—
1554C22⋊C4C2×#4118yes—
1555C22⋊C4C2×#4118yes—
1556C42—24no—
1557C42—24no—
1558C42—24no—
1559C42—24no—
1560C42—28no—
1561C42—24no—
1562C42—24no—
1563C42—24no—
1564C42—24no—
1565C42—24no—
1566C42—24no—
1567C42—24no—
1568C42—24no—
1569C42—28no—
1570C42—28no—
1571C42—28no—
1572C42—44no—
1573C42—44no—
1574C23—22no—
1575C23—22no—
1576C23—22no—
1577C23—22no—
1578C23—22no—
1579C23—22no—
1580C23—28no—
1581C23—22no—
1582C23—22no—
1583C23—22no—
1584C23—22no—
1585C23—22no—
1586C23—24no—
1587C23—22no—
1588C23—22no—
1589C23—22no—
1590C23—24no—
1591C23—28no—
1592C23—22no—
1593C23—22no—
1594C23—22no—
1595C23—22no—
1596C23—22no—
1597C23—22no—
1598C23—22no—
1599C23—24no—
1600C23—22no—
1601C23—24no—
1602C23—22no—
1603C23—22no—
1604C23—44no—
1605C23—44no—
1606C23—48no—
1607C23—48no—
1608C23—44no—
1609C23—44no—
1610C23—48no—
1611C23—48no—
1612C23—48no—
1613C23—48no—
1614C23—48no—
1615C23—48no—
1616C23—48no—
1617C23—48no—
1618C23—44no—
1619C23—44no—
1620C23—44no—
1621C23—44no—
1622C23—48no—
1623C23—48no—
1624C23—44no—
1625C23—44no—
1626C23—84no—
1627C23—84no—
1628C23—84no—
1629C23—84no—
1630C23—84no—
1631C23—84no—
1632C23—84no—
1633C23—84no—
1634C23—84no—
1635C23—84no—
1636C23—84no—
1637C23—82no—
1638C23—82no—
1639C23—84no—
1640C23—864no—
1641C23#547116yes—
1642C23C23×D414yes—
1643C23C23×D412yes—
1644C23C23×D412yes—
1645C23C23×D412yes—
1646C23C22×#4112yes—
1647C23C22×#4112yes—
1648C23C22×#4112yes—
1649C23C2×2−1+412yes—
1650C23C2×2−1+412yes—
1651C23C2×2−1+412yes—
1652C23#58514yes—
1653C23C2611yescharacteristic
1654Q8—84no—
1655Q8—84no—
1656Q8—88no—
1657D4—216no—
1658D4—216no—
1659D4—416no—
1660D4—416no—
1661D4—48no—
1662D4—48no—
1663D4—88no—
1664D4—84no—
1665D4—84no—
1666D4—88no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—22no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—24no—
1678C2×C4—24no—
1679C2×C4—24no—
1680C2×C4—24no—
1681C2×C4—28no—
1682C2×C4—28no—
1683C2×C4—28no—
1684C2×C4—28no—
1685C2×C4—28no—
1686C2×C4—28no—
1687C2×C4—28no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—24no—
1702C2×C4—24no—
1703C2×C4—22no—
1704C2×C4—24no—
1705C2×C4—22no—
1706C2×C4—24no—
1707C2×C4—24no—
1708C2×C4—24no—
1709C2×C4—24no—
1710C2×C4—24no—
1711C2×C4—24no—
1712C2×C4—24no—
1713C2×C4—24no—
1714C2×C4—24no—
1715C2×C4—24no—
1716C2×C4—24no—
1717C2×C4—24no—
1718C2×C4—24no—
1719C2×C4—24no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—24no—
1723C2×C4—24no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—44no—
1727C2×C4—44no—
1728C2×C4—48no—
1729C2×C4—416no—
1730C2×C4—44no—
1731C2×C4—44no—
1732C2×C4—44no—
1733C2×C4—44no—
1734C2×C4—44no—
1735C2×C4—44no—
1736C2×C4—44no—
1737C2×C4—88no—
1738C2×C4—84no—
1739C2×C4—84no—
1740C2×C4—88no—
1741C2×C4—84no—
1742C2×C4—84no—
1743C2×C4—82no—
1744C2×C4—84no—
1745C2×C4—82no—
1746C2×C4—82no—
1747C2×C4—82no—
1748C2×C4—84no—
1749C2×C4—82no—
1750C2×C4—82no—
1751C2×C4—84no—
1752C2×C4—88no—
1753C2×C4—84no—
1754C2×C4—84no—
1755C2×C4C23×D412yes—
1756C2×C4C23×D412yes—
1757C2×C4C23×D412yes—
1758C2×C4C23×D414yes—
1759C2×C4C23×D414yes—
1760C2×C4C23×D414yes—
1761C2×C4C23×D412yes—
1762C2×C4C22×#4118yes—
1763C22—24no—
1764C22—24no—
1765C22—24no—
1766C22—22no—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—24no—
1773C22—24no—
1774C22—24no—
1775C22—24no—
1776C22—24no—
1777C22—24no—
1778C22—24no—
1779C22—24no—
1780C22—24no—
1781C22—416no—
1782C22—416no—
1783C22—44no—
1784C22—42no—
1785C22—42no—
1786C22—42no—
1787C22—44no—
1788C22—42no—
1789C22—44no—
1790C22—42no—
1791C22—42no—
1792C22—42no—
1793C22—42no—
1794C22—42no—
1795C22—42no—
1796C22—42no—
1797C22—42no—
1798C22—44no—
1799C22—42no—
1800C22—42no—
1801C22—88no—
1802C22—816no—
1803C22—816no—
1804C22—88no—
1805C22—164no—
1806C22C2×#54714yes—
1807C22C2×#54714yes—
1808C22C2×#54714yes—
1809C22C24×D411yescharacteristic
1810C22C23×#4111yescharacteristic
1811C22C22×2−1+411yescharacteristic
1812C22C2×#58512yes—
1813C22H(7,𝔽2)12yes—
1814C4—28no—
1815C4—24no—
1816C4—24no—
1817C4—22no—
1818C4—22no—
1819C4—22no—
1820C4—22no—
1821C4—24no—
1822C4—44no—
1823C4—44no—
1824C4—42no—
1825C4—42no—
1826C4—42no—
1827C4—42no—
1828C4—42no—
1829C4—42no—
1830C4—42no—
1831C4—42no—
1832C4—42no—
1833C4—42no—
1834C4—42no—
1835C4—42no—
1836C4—44no—
1837C4—42no—
1838C2—24no—
1839C2—24no—
1840C2—24no—
1841C2—44no—
1842C2—44no—
1843C2—82no—
1844C2—82no—
1845C2C22×#54711yescharacteristic
1846C2#6281111yescharacteristic
1847C2#6285211yescharacteristic
1848C2#6290312yes—
1849C2#6299012yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#35348C2
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×#3491C2semidirect
2. C22×#551C2semidirect
3. #59310C2semidirect
4. #59273C2semidirect
5. #59108C2semidirect
6. #59105C2semidirect
7. #44020C2semidirect
8. #43976C2semidirect
9. #43959C2semidirect
10. #43935C2semidirect
11. #38917C2semidirect
12. #38912C2semidirect
13. #38047C2semidirect
14. #38047C2semidirect
15. #38044C2semidirect
16. #38039C2semidirect
17. #36427C2semidirect
18. #36317C2semidirect
19. #35391C2semidirect
20. #35350C2semidirect
21. #35349C2semidirect
23. #35097C2semidirect
24. #34983C2semidirect
25. #34982C2semidirect
26. C2×#2482C2semidirect
27. C2×#2411C2semidirect
28. #34248C2semidirect
29. #34199C2semidirect
30. #34198C2semidirect
31. #34052C2semidirect
33. C2×#552C22semidirect
34. C2×#552C22semidirect
35. C2×#552C22semidirect
36. C2×#552C22semidirect
40. C2×#551C22semidirect
41. C2×#551C22semidirect
42. C2×#551C22semidirect
43. C2×#551C22semidirect
44. C2×#551C22semidirect
45. C2×#551C22semidirect
47. C2×#539C22semidirect
48. C2×#539C22semidirect
50. C2×#529C22semidirect
51. C2×#529C22semidirect
52. C22×#126C22semidirect
53. C22×#126C22semidirect
54. C22×#124C22semidirect
57. C22×#123C22semidirect
58. C22×#123C22semidirect
60. C22×C22⋊Q8C22semidirect
67. C22×C4×D4C22semidirect
71. C22×#117C22semidirect
74. #2853C22semidirect
75. #2853C22semidirect
76. #2853C22semidirect
77. #2849C22semidirect
78. #2848C22semidirect
79. #2848C22semidirect
80. #2727C22semidirect
81. #2727C22semidirect
82. #2725C22semidirect
83. #2725C22semidirect
84. #2723C22semidirect
85. #2723C22semidirect
86. #2723C22semidirect
87. #2723C22semidirect
88. #2721C22semidirect
89. #2721C22semidirect
90. #2720C22semidirect
91. #2720C22semidirect
92. #2718C22semidirect
93. #2718C22semidirect
94. #2715C22semidirect
95. #2710C22semidirect
96. #2710C22semidirect
97. #2706C22semidirect
98. #2706C22semidirect
99. #2695C22semidirect
100. #2680C22semidirect
101. #2674C22semidirect
102. #2672C22semidirect
103. #2672C22semidirect
104. #2626C22semidirect
105. #2626C22semidirect
106. #2623C22semidirect
107. #2623C22semidirect
108. #2623C22semidirect
109. #2622C22semidirect
110. #2583C22semidirect
111. #2583C22semidirect
112. #2579C22semidirect
113. #2579C22semidirect
114. #2553C22semidirect
115. #2549C22semidirect
116. #2549C22semidirect
117. #2542C22semidirect
119. #2521C22semidirect
120. #2519C22semidirect
121. #2519C22semidirect
122. #2512C22semidirect
123. #2512C22semidirect
124. #2502C22semidirect
125. #2501C22semidirect
126. #2498C22semidirect
127. #2498C22semidirect
128. #2491C22semidirect
129. #2489C22semidirect
130. #2488C22semidirect
131. #2487C22semidirect
132. #2484C22semidirect
133. #2484C22semidirect
134. #2482C22semidirect
135. #2482C22semidirect
136. #2482C22semidirect
137. #2482C22semidirect
138. #2482C22semidirect
139. #2482C22semidirect
140. #2482C22semidirect
141. #2482C22semidirect
142. #2482C22semidirect
143. #2482C22semidirect
144. #2479C22semidirect
145. #2479C22semidirect
146. #2479C22semidirect
147. #2479C22semidirect
148. #2475C22semidirect
149. #2475C22semidirect
150. #2474C22semidirect
151. #2470C22semidirect
152. #2469C22semidirect
153. #2469C22semidirect
154. #2468C22semidirect
155. #2466C22semidirect
156. #2461C22semidirect
157. #2461C22semidirect
158. #2455C22semidirect
159. #2455C22semidirect
160. #2450C22semidirect
161. #2449C22semidirect
162. #2449C22semidirect
163. #2444C22semidirect
164. #2443C22semidirect
165. #2441C22semidirect
166. #2440C22semidirect
167. #2440C22semidirect
168. #2438C22semidirect
169. #2437C22semidirect
170. #2437C22semidirect
171. #2437C22semidirect
172. #2437C22semidirect
173. #2437C22semidirect
174. #2434C22semidirect
175. #2429C22semidirect
176. #2425C22semidirect
177. #2425C22semidirect
180. #2422C22semidirect
181. #2419C22semidirect
184. #2418C22semidirect
185. #2418C22semidirect
186. #2418C22semidirect
187. #2415C22semidirect
188. #2415C22semidirect
189. #2413C22semidirect
196. #2411C22semidirect
197. #2411C22semidirect
200. #2409C22semidirect
202. #2405C22semidirect
203. #2405C22semidirect
204. C2×#399C22semidirect
205. C2×#397C22semidirect
206. C2×#396C22semidirect
207. C2×#394C22semidirect
208. #2362C22semidirect
209. #2361C22semidirect
210. #2359C22semidirect
211. #2359C22semidirect
212. #2359C22semidirect
213. #2358C22semidirect
214. #2358C22semidirect
215. #2354C22semidirect
216. #2349C22semidirect
217. #2349C22semidirect
218. D4×C4⋊C4C22semidirect
219. D4×C4⋊C4C22semidirect
220. #2344C22semidirect
221. #2344C22semidirect
222. #2342C22semidirect
223. #2342C22semidirect
224. #2342C22semidirect
225. D4×C22⋊C4C22semidirect
226. #2322C22semidirect
229. #2317C22semidirect
230. #2317C22semidirect
231. #2317C22semidirect
232. #2317C22semidirect
233. #2317C22semidirect
234. #2316C22semidirect
242. #2315C22semidirect
246. C4×#123C22semidirect
249. #2296C22semidirect
250. #2296C22semidirect
251. #2296C22semidirect
252. #2296C22semidirect
253. #2296C22semidirect
254. C2×#390C22semidirect
255. C2×#388C22semidirect
256. C2×#388C22semidirect
257. C2×#388C22semidirect
262. C2×#385C22semidirect
263. #2285C22semidirect
297. C2×C4⋊Q8C23semidirect
306. C2×#126C23semidirect
307. C2×#126C23semidirect
308. C2×#126C23semidirect
309. C2×#126C23semidirect
310. C2×#126C23semidirect
311. C2×#126C23semidirect
312. C2×#126C23semidirect
313. C2×#126C23semidirect
314. C2×#125C23semidirect
315. C2×#125C23semidirect
316. C2×#125C23semidirect
317. C2×#125C23semidirect
318. C2×#125C23semidirect
319. C2×#125C23semidirect
323. C2×#124C23semidirect
324. C2×#124C23semidirect
328. C2×#123D4semidirect
345. C2×#123C23semidirect
346. C2×#123C23semidirect
347. C2×#123C23semidirect
348. C2×#123C23semidirect
349. C2×#123C23semidirect
364. C2×C22⋊Q8C23semidirect
365. C2×C22⋊Q8C23semidirect
366. C2×C22⋊Q8C23semidirect
367. C2×C22⋊Q8C23semidirect
368. C2×C22⋊Q8C23semidirect
385. C2×C4×Q8C23semidirect
386. C2×C4×Q8C23semidirect
405. C2×C4×D4C23semidirect
406. C2×C4×D4C23semidirect
428. C2×#117C23semidirect
429. C2×#117C23semidirect
430. C2×#117C23semidirect
431. C2×#117C23semidirect
448. C22×C4⋊C4C23semidirect
497. #400C23semidirect
498. #400C23semidirect
499. #400C23semidirect
500. #400C23semidirect
509. #399C23semidirect
510. #399C23semidirect
511. #399C23semidirect
512. #399C23semidirect
513. #398C23semidirect
514. #398C23semidirect
515. #398C23semidirect
516. #398C23semidirect
517. #398C23semidirect
518. #398C23semidirect
519. #398C23semidirect
520. #398C23semidirect
521. #398C23semidirect
528. #397C23semidirect
529. #397C23semidirect
530. #397C23semidirect
531. #397C23semidirect
532. #397C23semidirect
543. #396C23semidirect
544. #396C23semidirect
545. #395C23semidirect
546. #395C23semidirect
547. #395C23semidirect
548. #395C23semidirect
549. #395C23semidirect
562. #394C23semidirect
563. #394C23semidirect
566. #393C23semidirect
569. #391C23semidirect
570. #391C23semidirect
571. #391C23semidirect
580. #389C23semidirect
581. #389C23semidirect
582. #389C23semidirect
583. #389C23semidirect
584. #389C23semidirect
585. #389C23semidirect
586. #389C23semidirect
587. #389C23semidirect
588. #389C23semidirect
589. #389C23semidirect
590. #389C23semidirect
591. #389C23semidirect
592. #389C23semidirect
593. #389C23semidirect
594. #389C23semidirect
595. #389C23semidirect
596. #389C23semidirect
597. #389C23semidirect
598. #389C23semidirect
621. #388C23semidirect
622. #388C23semidirect
623. #388C23semidirect
624. #388C23semidirect
625. #388C23semidirect
626. #388C23semidirect
627. #388C23semidirect
628. #388C23semidirect
629. #388C23semidirect
630. #388C23semidirect
631. #387C23semidirect
632. #387C23semidirect
633. #387C23semidirect
634. #387C23semidirect
635. #387C23semidirect
636. #387C23semidirect
637. #387C23semidirect
638. #387C23semidirect
639. #387C23semidirect
640. #387C23semidirect
641. #387C23semidirect
642. #387C23semidirect
662. #386C23semidirect
704. #385C23semidirect
705. #385C23semidirect
706. #385C23semidirect
707. #385C23semidirect
708. #385C23semidirect
709. #385C23semidirect
710. #385C23semidirect
711. #385C23semidirect
712. #385C23semidirect
713. #384C23semidirect
714. #384C23semidirect
715. #384C23semidirect
716. #384C23semidirect
717. #382C23semidirect
718. #382C23semidirect
719. #382C23semidirect
727. #381C23semidirect
738. #380C23semidirect
739. #380C23semidirect
740. #380C23semidirect
753. C4×C4⋊C4C23semidirect
754. C4×C4⋊C4C23semidirect
755. C4×C4⋊C4C23semidirect
756. C4×C4⋊C4C23semidirect
757. C4×C4⋊C4C23semidirect
758. C4×C4⋊C4C23semidirect
759. C4×C4⋊C4C23semidirect
760. C4×C4⋊C4C23semidirect
767. C4×C22⋊C4C23semidirect
768. C4×C22⋊C4C23semidirect
775. C2×#95C23semidirect
905. #123C2×D4semidirect
906. #123C2×D4semidirect
991. C2×C4⋊C4C2×D4semidirect
992. C2×C4⋊C4C2×D4semidirect
1085. C2×C22⋊C4C2×D4semidirect
1086. C2×C22⋊C4C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34912
C22×#5512
#593102
#592732
#591082
#591052
#440202
#439762
#439592
#439352
#389172
#389122
#380472
#380442
#380392
#364272
#363172
#353912
#353502
#353492
#353482
#350972
#349832
#349822
C2×#24822
C2×#24112
#342482
#341992
#341982
#340522