Finite Group Databasebeta

← #7677477

Subgroups — #7677477

Order 512.

7978 conjugacy classes of subgroups.

The subgroup lattice has 1996 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3507C211yesmaximal, characteristic, complemented
2C22×#536C211yesmaximal, characteristic, complemented
3#59148C212yesmaximal, complemented
4#59147C212yesmaximal, complemented
5#59144C212yesmaximal, complemented
6#59134C212yesmaximal, complemented
7#59027C212yesmaximal, complemented
8#59025C212yesmaximal, complemented
9#59016C212yesmaximal, complemented
10#59014C212yesmaximal, complemented
11#45325C212yesmaximal, complemented
12#45323C212yesmaximal, complemented
13#45240C212yesmaximal, complemented
14#45237C212yesmaximal, complemented
15#45146C212yesmaximal, complemented
16#45144C212yesmaximal, complemented
17#45114C212yesmaximal, complemented
18#45113C212yesmaximal, complemented
19#39431C214yesmaximal, complemented
20#37779C214yesmaximal, complemented
21#37661C214yesmaximal, complemented
22#36109C214yesmaximal, complemented
23#35628C211yesmaximal, characteristic, complemented
24#35621C211yesmaximal, characteristic, complemented
25#35621C211yesmaximal, characteristic, complemented
26#35619C211yesmaximal, characteristic, complemented
27#35242C211yesmaximal, characteristic, complemented
28#35182C211yesmaximal, characteristic, complemented
29#35178C211yesmaximal, characteristic, complemented
30#34739C211yesmaximal, characteristic, complemented
31#34738C211yesmaximal, characteristic
32#34266C211yesmaximal, characteristic, complemented
33#34202C211yesmaximal, characteristic, complemented
34#34175C211yesmaximal, characteristic, complemented
35C2×Q8×C22⋊C4C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C24×Q8C2211yescharacteristic
38#3507—216no—
39C2×#559C2212yescomplemented
40C2×#557C2212yescomplemented
41C2×#556C2212yescomplemented
42C2×#556C2212yescomplemented
43C2×#556C2212yescomplemented
44C2×#554C2212yescomplemented
45C2×#552C2212yescomplemented
46C2×#552C2212yescomplemented
47C2×#539C2214yescomplemented
48C2×#536—216no—
49C2×#536C2214yes—
50C2×#536C2212yes—
51C2×#536C2212yes—
52C2×#536C2211yescharacteristic
53C2×#536C2211yescharacteristic
54C2×#536C2212yes—
55C2×#536C2212yes—
56C2×#536C2211yescharacteristic
57C2×#536C2211yescharacteristic
58C2×#536C2211yescharacteristic, complemented
59C2×#536C2211yescharacteristic, complemented
60C2×#533C2211yescharacteristic, complemented
61C2×#532C2211yescharacteristic
62C2×#532C2211yescharacteristic
63C22×C4⋊Q8C2212yes—
64C2×#529C2214yescomplemented
65C22×#124C2212yes—
66C2×#525C2211yescharacteristic
67C22×#123C2214yes—
68C22×C22⋊Q8C2212yes—
69C22×C22⋊Q8C2212yes—
70C2×#520C2211yescharacteristic
71C2×#520C2211yescharacteristic
72C2×#520C2211yescharacteristic, complemented
73C22×C4×Q8C2211yescharacteristic, complemented
74C22×C4×Q8C2211yescharacteristic, complemented
75C22×#117C2211yescharacteristic
76#2854C2214yescomplemented
77#2853C2214yescomplemented
78#2849C2214yes—
79#2716C2214yescomplemented
80#2716C2214yescomplemented
81#2715C2214yescomplemented
82#2713C2214yescomplemented
83#2713C2214yescomplemented
84#2712C2214yescomplemented
85#2710C2214yescomplemented
86#2707C2214yescomplemented
87#2706C2214yescomplemented
88#2705C2214yescomplemented
89#2704C2214yescomplemented
90#2702C2214yescomplemented
91#2700C2214yescomplemented
92#2700C2214yescomplemented
93#2698C2214yescomplemented
94#2696C2214yescomplemented
95#2695C2214yescomplemented
96#2694C2214yescomplemented
97#2693C2214yescomplemented
98#2692C2214yescomplemented
99#2690C2214yescomplemented
100#2689C2214yescomplemented
101#2687C2214yescomplemented
102#2687C2214yescomplemented
103#2623C2214yescomplemented
104#2618C2214yescomplemented
105#2614C2214yescomplemented
106#2592C2212yescomplemented
107#2592C2212yescomplemented
108#2568C2212yescomplemented
109#2568C2212yescomplemented
110#2560C2214yescomplemented
111#2558C2214yescomplemented
112#2557C2214yescomplemented
113#2557C2214yescomplemented
114#2556C2214yescomplemented
115#2554C2214yescomplemented
116#2553C2214yescomplemented
117#2550C2214yescomplemented
118#2549C2214yescomplemented
119#2548C2212yescomplemented
120#2547C2212yescomplemented
121#2547C2212yescomplemented
122#2546C2212yescomplemented
123#2546C2212yescomplemented
124#2546C2212yescomplemented
125#2545C2212yescomplemented
126#2545C2212yescomplemented
127#2545C2212yescomplemented
128#2545C2212yescomplemented
129#2544C2212yescomplemented
130#2544C2212yescomplemented
131#2538C2212yescomplemented
132#2538C2212yescomplemented
133#2536C2212yescomplemented
134#2536C2212yescomplemented
135#2521C2214yescomplemented
136#2503C2212yescomplemented
137#2502C2212yescomplemented
138#2499C2212yescomplemented
139#2499C2212yescomplemented
140#2492C2214yescomplemented
141#2492C2212yescomplemented
142#2492C2212yescomplemented
143#2489C2212yescomplemented
144#2489C2212yescomplemented
145#2488C2214yescomplemented
146#2488C2214yescomplemented
147#2488C2214yescomplemented
148#2481C2214yes—
149#2481C2214yes—
150#2480C2214yes—
151#2480C2214yes—
152#2477C2214yescomplemented
153#2474C2214yescomplemented
154#2473C2214yes—
155#2473C2214yes—
156#2472C2214yes—
157#2471C2214yescomplemented
158#2470C2214yescomplemented
159#2465C2214yescomplemented
160#2459C2214yescomplemented
161#2458C2214yescomplemented
162#2457C2214yescomplemented
163#2451C2214yescomplemented
164#2450C2214yescomplemented
165#2448C2212yescomplemented
166#2448C2212yescomplemented
167#2447C2212yescomplemented
168#2447C2212yescomplemented
169#2446C2212yescomplemented
170#2446C2212yescomplemented
171#2446C2212yescomplemented
172#2446C2212yescomplemented
173#2442C2214yes—
174#2442C2211yescharacteristic
175#2442C2211yescharacteristic
176#2441C2211yescharacteristic, complemented
177#2441C2211yescharacteristic, complemented
178#2440C2211yescharacteristic
179#2440C2211yescharacteristic
180#2439C2211yescharacteristic, complemented
181#2439C2214yescomplemented
182#2439C2211yescharacteristic, complemented
183#2438C2212yescomplemented
184#2438C2214yescomplemented
185#2438C2212yescomplemented
186#2437C2214yes—
187#2437C2212yes—
188#2437C2212yes—
189#2436C2212yes—
190#2436C2211yescharacteristic
191#2436C2212yescomplemented
192#2435C2211yescharacteristic
193#2434C2211yescharacteristic
194#2434C2212yes—
195#2434C2212yescomplemented
196#2433C2211yescharacteristic
197#2432C2211yescharacteristic
198#2432C2211yescharacteristic
199#2431C2211yescharacteristic
200#2431C2211yescharacteristic
201#2430C2212yes—
202#2430C2212yes—
203#2425C2214yescomplemented
204#2425C2214yescomplemented
205#2425C2214yescomplemented
206#2425C2214yescomplemented
207#2423C2212yescomplemented
208#2423C2212yescomplemented
209#2421C2212yescomplemented
210#2421C2212yescomplemented
211#2419C2214yescomplemented
212#2419C2214yescomplemented
213#2418C2214yes—
214#2417C2214yes—
215#2417C2212yescomplemented
216#2417C2212yescomplemented
217#2417C2212yescomplemented
218#2417C2212yescomplemented
219#2415C2212yescomplemented
220#2415C2212yescomplemented
221#2415C2212yescomplemented
222#2415C2212yescomplemented
223#2412C2214yes—
224#2410C2212yes—
225#2410C2212yes—
226#2409C2212yes—
227#2409C2212yes—
228#2409C2212yescomplemented
229#2409C2212yescomplemented
230#2396C2212yescomplemented
231#2396C2212yescomplemented
232#2388C2212yes—
233#2388C2212yes—
234#2367C2212yescomplemented
235#2367C2212yescomplemented
236#2365C2212yescomplemented
237#2365C2212yescomplemented
238#2362C2212yescomplemented
239#2362C2212yescomplemented
240#2360C2214yes—
241#2360C2212yescomplemented
242#2360C2212yescomplemented
243#2359C2214yescomplemented
244#2358C2214yes—
245#2358C2214yes—
246#2354C2212yescomplemented
247#2352C2214yes—
248#2352C2212yes—
249#2352C2212yescomplemented
250D4×C4⋊C4C2212yes—
251#2342C2214yes—
252#2341C2212yes—
253Q8×C22⋊C4C2212yes—
254Q8×C22⋊C4C2212yes—
255Q8×C22⋊C4C2212yes—
256Q8×C22⋊C4C2212yes—
257Q8×C22⋊C4C2212yes—
258Q8×C22⋊C4C2212yescomplemented
259Q8×C22⋊C4C2212yescomplemented
260Q8×C22⋊C4C2212yescomplemented
261Q8×C22⋊C4C2212yescomplemented
262#2339C2214yes—
263#2339C2212yes—
264D4×C22⋊C4C2212yes—
265D4×C22⋊C4C2214yes—
266#2324C2212yescomplemented
267#2323C2212yescomplemented
268#2322C2214yescomplemented
269#2317C2211yescharacteristic, complemented
270#2311C2212yes—
271#2311C2211yescharacteristic
272#2311C2211yescharacteristic
273#2311C2212yes—
274#2311C2211yescharacteristic, complemented
275#2310C2211yescharacteristic, complemented
276#2310C2211yescharacteristic, complemented
277C4×C22⋊Q8C2212yes—
278C4×C22⋊Q8C2212yes—
279C4×C22⋊Q8C2212yes—
280C4×#123C2214yescomplemented
281C4×#121C2212yes—
282C4×#120C2212yes—
283C4×#120C2212yes—
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2296C2211yescharacteristic, complemented
287#2296C2211yescharacteristic, complemented
288C2×#391C2212yescomplemented
289C2×#391C2211yescharacteristic, complemented
290C2×#391C2211yescharacteristic, complemented
291C2×#391C2212yescomplemented
292#2285C2211yescharacteristic, complemented
293#2280C2212yes—
294#2280C2211yescharacteristic
295C2×#380C2212yes—
296C2×#380C2211yescharacteristic
297C2×#380C2212yes—
298#2274C2211yescharacteristic, complemented
299C2×C4×C22⋊C4C2212yes—
300C2×C4×C22⋊C4C2211yescharacteristic
301C22×#41—28no—
302C22×#41—28no—
303C22×#41—44no—
304C22×#41C2311yescharacteristic
305C22×#41C2311yescharacteristic
306C22×#41C2312yes—
307C22×#41C2312yes—
308C22×#41C2311yescharacteristic
309C22×#41C2311yescharacteristic
310C22×#41C2311yescharacteristic
311C23×Q8—28no—
312C23×Q8—28no—
313C23×Q8—44no—
314C23×Q8C2311yescharacteristic
315C23×Q8C2312yes—
316C23×Q8C2312yes—
317C23×Q8C2312yes—
318C23×Q8C2312yes—
319C23×Q8C2312yes—
320C23×Q8C2311yescharacteristic
321C23×Q8C2311yescharacteristic
322C23×D4C2312yes—
323C23×D4C2311yescharacteristic
324C24×C4C2312yes—
325C24×C4C2312yes—
326C24×C4C2311yescharacteristic
327#559—216no—
328#557—216no—
329#556—216no—
330#556—216no—
331#556—216no—
332#554—216no—
333#552—216no—
334#552—216no—
335#539—232no—
336#536—28no—
337#536—28no—
338#536—28no—
339#536—216no—
340#536—216no—
341#536—232no—
342#536—216no—
343#536—216no—
344#536—28no—
345#536—44no—
346#536D4116yescomplemented
347#533—28no—
348#532—28no—
349#532—44no—
350C2×C4⋊Q8—216no—
351C2×C4⋊Q8C2312yes—
352C2×C4⋊Q8C2314yes—
353C2×C4⋊Q8C2312yes—
354C2×C4⋊Q8C2312yes—
355C2×C4⋊Q8C2314yes—
356C2×C4⋊Q8C2311yescharacteristic
357C2×C4⋊Q8C2311yescharacteristic
358C2×C4⋊Q8C2311yescharacteristic
359C2×C4⋊Q8C2312yes—
360C2×C4⋊Q8C2311yescharacteristic
361C2×C4⋊Q8C2312yes—
362C2×C4⋊Q8C2312yes—
363C2×#127C2311yescharacteristic
364C2×#127C2311yescharacteristic
365#529—232no—
366C2×#126C2314yes—
367C2×#126C2314yes—
368C2×#126C2314yes—
369C2×#126C2314yes—
370C2×#125C2314yes—
371C2×#125C2311yescharacteristic
372C2×#125C2311yescharacteristic
373C2×#125C2314yes—
374C2×#125C2314yes—
375C2×#124—216no—
376C2×#124C2312yes—
377C2×#124C2314yes—
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2314yes—
381C2×#124C2314yes—
382C2×#124C2311yescharacteristic
383C2×#124C2311yescharacteristic
384C2×#124C2312yes—
385C2×#124C2311yescharacteristic
386C2×#124C2311yescharacteristic
387C2×#124C2312yes—
388C2×#124C2312yes—
389#525—28no—
390C2×#123—232no—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2312yes—
394C2×#123C2314yes—
395C2×#123C2314yes—
396C2×#123C2314yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×#123C2314yes—
400C2×#123C2314yes—
401C2×#123C2314yes—
402C2×#123C2314yes—
403C2×#123C2314yes—
404C2×C22⋊Q8—216no—
405C2×C22⋊Q8—216no—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2311yescharacteristic
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2312yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2314yes—
418C2×C22⋊Q8C2314yes—
419C2×C22⋊Q8C2314yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2314yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2314yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2312yes—
430C2×#121C2311yescharacteristic
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2311yescharacteristic
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#120C2312yes—
437C2×#120C2312yes—
438C2×#120C2312yes—
439#520—28no—
440#520—28no—
441#520—44no—
442C2×C4×Q8—28no—
443C2×C4×Q8—44no—
444C2×C4×Q8C2312yes—
445C2×C4×Q8C2312yes—
446C2×C4×Q8C2312yes—
447C2×C4×Q8C2312yes—
448C2×C4×Q8C2312yes—
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2312yes—
452C2×C4×Q8C2314yes—
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2312yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2314yes—
464C2×C4×D4C2314yes—
465C2×C4×D4C2312yes—
466C2×C4×D4C2312yes—
467C2×C4×D4C2314yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2314yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×#117—28no—
473C2×#117C2311yescharacteristic
474C2×#117C2311yescharacteristic
475C2×#117C2311yescharacteristic
476C2×#117C2312yes—
477C2×#117C2311yescharacteristic
478C2×#117C2312yes—
479C2×#117C2314yes—
480C2×#117C2312yes—
481C2×#117C2314yes—
482C2×#117C2311yescharacteristic
483C2×#117C2311yescharacteristic
484C2×#117C2312yes—
485C2×#117C2312yes—
486C2×#117C2311yescharacteristic
487C22×C4⋊C4C2311yescharacteristic
488C22×C4⋊C4C2311yescharacteristic
489C22×C4⋊C4C2312yes—
490C22×C4⋊C4C2311yescharacteristic
491C22×C4⋊C4C2312yes—
492C22×C4⋊C4C2311yescharacteristic
493C22×C4⋊C4C2314yes—
494C22×C4⋊C4C2314yes—
495C22×C4⋊C4C2312yes—
496C22×C4⋊C4C2312yes—
497C22×C4⋊C4C2312yes—
498C22×C22⋊C4C2314yes—
499C22×C22⋊C4C2312yes—
500C22×C22⋊C4C2314yes—
501C22×C22⋊C4C2311yescharacteristic
502C22×C22⋊C4C2314yes—
503C22×C22⋊C4C2312yes—
504C22×C22⋊C4C2311yescharacteristic
505C22×C42C2312yes—
506C22×C42C2312yes—
507C22×C42C2311yescharacteristic
508C22×C42C2311yescharacteristic
509C22×C42C2312yes—
510#400C2314yes—
511#400C2314yes—
512#400C2314yes—
513#400C2314yes—
514#400C2314yes—
515#400C2314yes—
516#400C2312yes—
517#400C2312yes—
518#400C2314yes—
519#400C2314yes—
520#399C2314yes—
521#399C2314yes—
522#399C2312yes—
523#399C2312yes—
524#398C2312yes—
525#398C2314yes—
526#398C2314yes—
527#398C2314yes—
528#398C2314yes—
529#398C2312yes—
530#398C2312yes—
531#398C2312yes—
532#398C2314yes—
533#398C2314yes—
534#398C2314yes—
535#398C2314yes—
536#398C2314yes—
537#398C2314yes—
538#397C2314yes—
539#397C2314yes—
540#397C2314yes—
541#397C2314yes—
542#397C2314yes—
543#397C2314yes—
544#397C2314yes—
545#397C2314yes—
546#397C2314yes—
547#397C2314yes—
548#397C2314yes—
549#397C2314yes—
550#396C2314yes—
551#396C2314yes—
552#396C2314yes—
553#396C2314yes—
554#396C2312yes—
555#396C2312yes—
556#396C2312yes—
557#396C2312yes—
558#396C2314yes—
559#396C2314yes—
560#396C2314yes—
561#396C2314yes—
562#395C2314yes—
563#395C2314yes—
564#395C2314yes—
565#395C2314yes—
566#395C2312yes—
567#395C2312yes—
568#395C2312yes—
569#395C2312yes—
570#394C2314yes—
571#394C2314yes—
572#394C2314yes—
573#394C2312yes—
574#394C2312yes—
575#394C2312yes—
576#394C2312yes—
577#394C2312yes—
578#394C2312yes—
579#394C2314yes—
580#394C2314yes—
581#394C2314yes—
582#393C2314yes—
583#393C2314yes—
584#393C2314yes—
585#393C2314yes—
586#393C2314yes—
587#393C2314yes—
588#393C2312yes—
589#393C2312yes—
590#393C2312yes—
591#393C2312yes—
592#392C2312yes—
593#392C2312yes—
594#392C2312yes—
595#392C2312yes—
596#392C2312yes—
597#392C2312yes—
598#391C2314yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2312yes—
604#391C2312yes—
605#391C2312yes—
606#391C2312yes—
607#391C2312yes—
608#391C2314yes—
609#391C2312yes—
610#391C2314yes—
611#391C2312yes—
612#391C2311yescharacteristic
613#391C2311yescharacteristic
614#391C2312yes—
615#391C2312yes—
616#391C2314yes—
617#391C2314yes—
618#391C2312yes—
619#391C2312yes—
620#391C2312yes—
621#391C2312yes—
622#391C2314yes—
623#391C2314yes—
624#391C2314yes—
625#391C2314yes—
626#391C2314yes—
627#391C2312yes—
628#391C2312yes—
629#391C2314yes—
630#391C2314yes—
631#391C2311yescharacteristic
632#391C2311yescharacteristic
633#391C2312yes—
634#391C2312yes—
635#390C2314yes—
636#390C2312yes—
637#390C2314yes—
638#390C2312yes—
639#390C2314yes—
640#390C2312yes—
641#390C2314yes—
642#390C2311yescharacteristic
643#390C2311yescharacteristic
644#390C2314yes—
645#390C2311yescharacteristic
646#390C2311yescharacteristic
647#389C2312yes—
648#389C2312yes—
649#389C2314yes—
650#389C2314yes—
651#389C2314yes—
652#389C2314yes—
653#389C2314yes—
654#389C2314yes—
655#389C2314yes—
656#389C2311yescharacteristic
657#389C2311yescharacteristic
658#389C2311yescharacteristic
659#389C2311yescharacteristic
660#389C2311yescharacteristic
661#389C2311yescharacteristic
662#389C2314yes—
663#389C2314yes—
664#389C2311yescharacteristic
665#389C2311yescharacteristic
666#389C2312yes—
667#389C2312yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2312yes—
707#387C2312yes—
708#387C2312yes—
709#387C2312yes—
710#386C2312yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2312yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2312yes—
725#386C2312yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2312yes—
730#386C2312yes—
731#386C2312yes—
732#386C2314yes—
733#386C2314yes—
734#386C2312yes—
735#386C2312yes—
736#386C2312yes—
737#385C2314yes—
738#385C2312yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2312yes—
747#385C2312yes—
748#385C2314yes—
749#385C2312yes—
750#385C2314yes—
751#385C2312yes—
752#385C2312yes—
753#385C2312yes—
754#385C2312yes—
755#385C2314yes—
756#385C2312yes—
757#385C2312yes—
758#385C2312yes—
759#385C2312yes—
760#385C2312yes—
761#385C2312yes—
762#384C2312yes—
763#384C2311yescharacteristic
764#384C2311yescharacteristic
765#382C2314yes—
766#382C2314yes—
767#382C2312yes—
768#382C2311yescharacteristic
769#382C2311yescharacteristic
770#381C2314yes—
771#381C2314yes—
772#381C2312yes—
773#381C2314yes—
774#381C2314yes—
775#381C2314yes—
776#380C2312yes—
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2314yes—
788#380C2314yes—
789#380C2312yes—
790#380C2314yes—
791#380C2314yes—
792#380C2314yes—
793#380C2314yes—
794#380C2314yes—
795#380C2312yes—
796#380C2312yes—
797#380C2314yes—
798#380C2312yes—
799#380C2311yescharacteristic
800#380C2311yescharacteristic
801#380C2312yes—
802#380C2314yes—
803#380C2314yes—
804#379C2312yes—
805#379C2314yes—
806#379C2312yes—
807#379C2312yes—
808C4×C4⋊C4C2314yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2312yes—
813C4×C4⋊C4C2314yes—
814C4×C4⋊C4C2314yes—
815C4×C4⋊C4C2312yes—
816C4×C4⋊C4C2312yes—
817C4×C4⋊C4C2312yes—
818C4×C4⋊C4C2312yes—
819C4×C4⋊C4C2312yes—
820C4×C4⋊C4C2312yes—
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2314yes—
823C4×C22⋊C4C2314yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2311yescharacteristic
829C4×C22⋊C4C2311yescharacteristic
830C4×C22⋊C4C2311yescharacteristic
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2311yescharacteristic
833C4×C22⋊C4C2311yescharacteristic
834C4×C22⋊C4C2311yescharacteristic
835C4×C22⋊C4C2311yescharacteristic
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2314yes—
839C4×C22⋊C4C2314yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2314yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2312yes—
846C2×#95C2312yes—
847C2×#95C2314yes—
848C2×#95C2312yes—
849C2×#95C2312yes—
850C2×#95C2312yes—
851C2×#95C2312yes—
852C2×#95C2311yescharacteristic
853C2×#95C2311yescharacteristic
854C25C2412yes—
855C25C2411yescharacteristic
856C2×#41—24no—
857C2×#41—28no—
858C2×#41—24no—
859C2×#41—24no—
860C2×#41—28no—
861C2×#41—24no—
862C2×#41—24no—
863C2×#41—24no—
864C2×#41—28no—
865C2×#41—24no—
866C2×#41—24no—
867C2×#41—28no—
868C2×#41—24no—
869C2×#41—24no—
870C2×#41—24no—
871C2×#41—24no—
872C2×#41—44no—
873C2×#41—44no—
874C2×#41—42no—
875C2×#41—42no—
876C2×#41—464no—
877C2×#41C2×D418yes—
878C22×Q8—28no—
879C22×Q8—28no—
880C22×Q8—24no—
881C22×Q8—28no—
882C22×Q8—28no—
883C22×Q8—28no—
884C22×Q8—24no—
885C22×Q8—24no—
886C22×Q8—28no—
887C22×Q8—28no—
888C22×Q8—28no—
889C22×Q8—28no—
890C22×Q8—28no—
891C22×Q8—24no—
892C22×Q8—24no—
893C22×Q8—24no—
894C22×Q8—24no—
895C22×Q8—44no—
896C22×Q8—44no—
897C22×Q8—44no—
898C22×Q8—44no—
899C22×Q8—44no—
900C22×Q8—42no—
901C22×Q8—464no—
902C22×Q8C2×D418yes—
903C22×Q8C2411yescharacteristic
904C22×Q8C2412yes—
905C22×Q8C2412yes—
906C22×Q8C2411yescharacteristic
907C22×Q8C2412yes—
908C22×Q8C2414yes—
909C22×Q8C2414yes—
910C22×Q8C2412yes—
911C22×Q8C2412yes—
912C22×Q8C2412yes—
913C22×Q8C2411yescharacteristic
914C22×Q8C2412yes—
915C22×D4—28no—
916C22×D4—28no—
917C22×D4—24no—
918C22×D4—24no—
919C22×D4—42no—
920C22×D4—44no—
921C22×D4C2412yes—
922C22×D4C2412yes—
923C22×D4C2411yescharacteristic
924C22×D4C2412yes—
925C22×D4C2411yescharacteristic
926C22×D4C2412yes—
927C22×D4C2412yes—
928C22×D4C2412yes—
929C22×D4C2412yes—
930C22×D4C2412yes—
931C22×D4C2411yescharacteristic
932C22×D4C2412yes—
933C22×D4C2412yes—
934C22×D4C2412yes—
935C22×D4C2412yes—
936C23×C4—24no—
937C23×C4—24no—
938C23×C4—28no—
939C23×C4—28no—
940C23×C4—28no—
941C23×C4—28no—
942C23×C4—44no—
943C23×C4—44no—
944C23×C4#4118yes—
945C23×C4C2412yes—
946C23×C4C2412yes—
947C23×C4C2412yes—
948C23×C4C2412yes—
949C23×C4C2412yes—
950C23×C4C2414yes—
951C23×C4C2411yescharacteristic
952C23×C4C2411yescharacteristic
953C23×C4C2412yes—
954C23×C4C2412yes—
955C23×C4C2412yes—
956C23×C4C2414yes—
957C23×C4C2412yes—
958C23×C4C2412yes—
959C23×C4C2411yescharacteristic
960C23×C4C2411yescharacteristic
961C23×C4C2411yescharacteristic
962C23×C4C2411yescharacteristic
963C23×C4C2411yescharacteristic
964C23×C4C2412yes—
965C23×C4C2412yes—
966C23×C4C2411yescharacteristic
967C23×C4C2411yescharacteristic
968C23×C4C2414yes—
969C23×C4C2414yes—
970C23×C4C2414yes—
971C23×C4C2411yescharacteristic
972C4⋊Q8—28no—
973C4⋊Q8—28no—
974C4⋊Q8—24no—
975C4⋊Q8—28no—
976C4⋊Q8—216no—
977C4⋊Q8—216no—
978C4⋊Q8—24no—
979C4⋊Q8—24no—
980C4⋊Q8—28no—
981C4⋊Q8—42no—
982C4⋊Q8—44no—
983C4⋊Q8C2×D4116yes—
984#127—24no—
985#127—42no—
986#126—216no—
987#126—216no—
988#126—216no—
989#126—216no—
990#125—216no—
991#125—24no—
992#125—24no—
993#125—216no—
994#125—216no—
995#124—28no—
996#124—24no—
997#124—28no—
998#124—28no—
999#124—24no—
1000#124—216no—
1001#124—216no—
1002#124—216no—
1003#124—28no—
1004#124—42no—
1005#124—42no—
1006#124—44no—
1007#124C2×D4116yes—
1008#123—216no—
1009#123—216no—
1010#123—216no—
1011#123—28no—
1012#123—216no—
1013#123—216no—
1014#123—216no—
1015#123—216no—
1016#123—216no—
1017#123—216no—
1018#123—216no—
1019#123—48no—
1020#123C2×D4132yes—
1021C22⋊Q8—28no—
1022C22⋊Q8—28no—
1023C22⋊Q8—28no—
1024C22⋊Q8—28no—
1025C22⋊Q8—28no—
1026C22⋊Q8—28no—
1027C22⋊Q8—24no—
1028C22⋊Q8—24no—
1029C22⋊Q8—216no—
1030C22⋊Q8—216no—
1031C22⋊Q8—28no—
1032C22⋊Q8—28no—
1033C22⋊Q8—216no—
1034C22⋊Q8—216no—
1035C22⋊Q8—216no—
1036C22⋊Q8—28no—
1037C22⋊Q8—28no—
1038C22⋊Q8—216no—
1039C22⋊Q8—28no—
1040C22⋊Q8—44no—
1041C22⋊Q8—44no—
1042C22⋊Q8—44no—
1043C22⋊Q8C2×D4116yes—
1044C22⋊Q8C2×D4116yes—
1045#121—28no—
1046#121—28no—
1047#121—24no—
1048#121—24no—
1049#121—44no—
1050#121—44no—
1051#120—28no—
1052#120—28no—
1053#120—44no—
1054C4×Q8—28no—
1055C4×Q8—28no—
1056C4×Q8—28no—
1057C4×Q8—28no—
1058C4×Q8—28no—
1059C4×Q8—216no—
1060C4×Q8—28no—
1061C4×Q8—28no—
1062C4×Q8—28no—
1063C4×Q8—44no—
1064C4×Q8—44no—
1065C4×Q8—44no—
1066C4×Q8—44no—
1067C4×Q8—44no—
1068C4×D4—216no—
1069C4×D4—28no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—28no—
1073C4×D4—28no—
1074C4×D4—216no—
1075C4×D4—216no—
1076C4×D4—28no—
1077C4×D4—44no—
1078C4×D4—44no—
1079C4×D4—44no—
1080C4×D4—48no—
1081C4×D4—48no—
1082#117—24no—
1083#117—24no—
1084#117—28no—
1085#117—24no—
1086#117—24no—
1087#117—24no—
1088#117—24no—
1089#117—28no—
1090#117—216no—
1091#117—28no—
1092#117—216no—
1093#117—28no—
1094#117—44no—
1095#117C2×D418yes—
1096C2×C4⋊C4—24no—
1097C2×C4⋊C4—28no—
1098C2×C4⋊C4—28no—
1099C2×C4⋊C4—24no—
1100C2×C4⋊C4—24no—
1101C2×C4⋊C4—24no—
1102C2×C4⋊C4—28no—
1103C2×C4⋊C4—216no—
1104C2×C4⋊C4—216no—
1105C2×C4⋊C4—44no—
1106C2×C4⋊C4—44no—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2414yes—
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2414yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2414yes—
1126C2×C4⋊C4C2414yes—
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2412yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2414yes—
1152C2×C4⋊C4C2414yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2411yescharacteristic
1165C2×C4⋊C4C2411yescharacteristic
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2414yes—
1168C2×C22⋊C4—28no—
1169C2×C22⋊C4—216no—
1170C2×C22⋊C4—216no—
1171C2×C22⋊C4—24no—
1172C2×C22⋊C4—44no—
1173C2×C22⋊C4—48no—
1174C2×C22⋊C4—42no—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2411yescharacteristic
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2411yescharacteristic
1188C2×C22⋊C4C2411yescharacteristic
1189C2×C22⋊C4C2411yescharacteristic
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2411yescharacteristic
1211C2×C22⋊C4C2411yescharacteristic
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2411yescharacteristic
1237C2×C42—28no—
1238C2×C42—24no—
1239C2×C42—24no—
1240C2×C42—28no—
1241C2×C42—44no—
1242C2×C42C2414yes—
1243C2×C42C2414yes—
1244C2×C42C2414yes—
1245C2×C42C2412yes—
1246C2×C42C2412yes—
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2412yes—
1250C2×C42C2412yes—
1251C2×C42C2411yescharacteristic
1252C2×C42C2411yescharacteristic
1253C2×C42C2411yescharacteristic
1254C2×C42C2411yescharacteristic
1255C2×C42C2414yes—
1256C2×C42C2411yescharacteristic
1257C2×C42C2411yescharacteristic
1258C2×C42C2411yescharacteristic
1259C2×C42C2411yescharacteristic
1260C2×C42C2414yes—
1261C2×C42C2414yes—
1262C2×C42C2414yes—
1263C2×C42C2414yes—
1264C2×C42C2414yes—
1265C2×C42C2412yes—
1266#95C2414yes—
1267#95C2412yes—
1268#95C2414yes—
1269#95C2414yes—
1270#95C2411yescharacteristic
1271#95C2411yescharacteristic
1272#95C2411yescharacteristic
1273#95C2411yescharacteristic
1274#95C2414yes—
1275#95C2414yes—
1276#95C2411yescharacteristic
1277#95C2411yescharacteristic
1278#95C2411yescharacteristic
1279#95C2411yescharacteristic
1280#95C2414yes—
1281#95C2414yes—
1282#95C2414yes—
1283#95C2414yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2414yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2412yes—
1304#95C2412yes—
1305#95C2412yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2414yes—
1312#95C2412yes—
1313#95C2412yes—
1314#95C2412yes—
1315#95C2412yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2412yes—
1319#95C2412yes—
1320#95C2412yes—
1321#95C2412yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326C24—22no—
1327C24—22no—
1328C24—22no—
1329C24—22no—
1330C24—24no—
1331C24—24no—
1332C24—24no—
1333C24—24no—
1334C24—41no—
1335C24—41no—
1336C24—42no—
1337C24—42no—
1338C24—42no—
1339C24C2×#4114yes—
1340C24C2512yes—
1341C24C2512yes—
1342C24C2512yes—
1343C24C2511yescharacteristic
1344C24C2511yescharacteristic
1345C24C2511yescharacteristic
1346#41—232no—
1347#41—432no—
1348#41—432no—
1349#41—416no—
1350#41—416no—
1351#41—416no—
1352#41—416no—
1353C2×Q8—232no—
1354C2×Q8—24no—
1355C2×Q8—22no—
1356C2×Q8—28no—
1357C2×Q8—24no—
1358C2×Q8—28no—
1359C2×Q8—24no—
1360C2×Q8—24no—
1361C2×Q8—22no—
1362C2×Q8—24no—
1363C2×Q8—24no—
1364C2×Q8—24no—
1365C2×Q8—22no—
1366C2×Q8—22no—
1367C2×Q8—28no—
1368C2×Q8—28no—
1369C2×Q8—24no—
1370C2×Q8—24no—
1371C2×Q8—24no—
1372C2×Q8—22no—
1373C2×Q8—24no—
1374C2×Q8—24no—
1375C2×Q8—22no—
1376C2×Q8—24no—
1377C2×Q8—22no—
1378C2×Q8—24no—
1379C2×Q8—22no—
1380C2×Q8—24no—
1381C2×Q8—44no—
1382C2×Q8—44no—
1383C2×Q8—42no—
1384C2×Q8—42no—
1385C2×Q8—42no—
1386C2×Q8—42no—
1387C2×Q8—432no—
1388C2×Q8—432no—
1389C2×Q8—432no—
1390C2×Q8—432no—
1391C2×Q8—432no—
1392C2×Q8—416no—
1393C2×Q8—416no—
1394C2×Q8C22×D418yes—
1395C2×Q8C22×D418yes—
1396C2×Q8C22×D414yes—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—24no—
1401C2×D4—24no—
1402C2×D4—24no—
1403C2×D4—24no—
1404C2×D4—24no—
1405C2×D4—24no—
1406C2×D4—24no—
1407C2×D4—24no—
1408C2×D4—24no—
1409C2×D4—24no—
1410C2×D4—24no—
1411C2×D4—24no—
1412C2×D4—24no—
1413C2×D4—24no—
1414C2×D4—24no—
1415C2×D4—22no—
1416C2×D4—24no—
1417C2×D4—22no—
1418C2×D4—22no—
1419C2×D4—22no—
1420C2×D4—24no—
1421C2×D4—22no—
1422C2×D4—22no—
1423C2×D4—22no—
1424C2×D4—22no—
1425C2×D4—24no—
1426C2×D4—24no—
1427C2×D4—416no—
1428C2×D4—42no—
1429C2×D4—42no—
1430C2×D4—42no—
1431C2×D4—42no—
1432C2×D4—42no—
1433C2×D4—42no—
1434C2×D4—42no—
1435C2×D4—42no—
1436C2×D4—42no—
1437C2×D4—42no—
1438C2×D4—42no—
1439C2×D4—42no—
1440C2×D4—42no—
1441C2×D4—432no—
1442C2×D4C22×D418yes—
1443C2×D4C22×D414yes—
1444C22×C4—22no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—22no—
1448C22×C4—232no—
1449C22×C4—22no—
1450C22×C4—22no—
1451C22×C4—22no—
1452C22×C4—22no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—22no—
1456C22×C4—22no—
1457C22×C4—22no—
1458C22×C4—22no—
1459C22×C4—22no—
1460C22×C4—24no—
1461C22×C4—24no—
1462C22×C4—24no—
1463C22×C4—28no—
1464C22×C4—28no—
1465C22×C4—24no—
1466C22×C4—22no—
1467C22×C4—24no—
1468C22×C4—24no—
1469C22×C4—24no—
1470C22×C4—24no—
1471C22×C4—22no—
1472C22×C4—28no—
1473C22×C4—22no—
1474C22×C4—24no—
1475C22×C4—24no—
1476C22×C4—24no—
1477C22×C4—28no—
1478C22×C4—24no—
1479C22×C4—24no—
1480C22×C4—24no—
1481C22×C4—24no—
1482C22×C4—28no—
1483C22×C4—24no—
1484C22×C4—24no—
1485C22×C4—24no—
1486C22×C4—24no—
1487C22×C4—24no—
1488C22×C4—24no—
1489C22×C4—22no—
1490C22×C4—22no—
1491C22×C4—28no—
1492C22×C4—42no—
1493C22×C4—44no—
1494C22×C4—44no—
1495C22×C4—42no—
1496C22×C4—42no—
1497C22×C4—42no—
1498C22×C4—41no—
1499C22×C4—42no—
1500C22×C4—41no—
1501C22×C4—432no—
1502C22×C4—42no—
1503C22×C4—41no—
1504C22×C4—41no—
1505C22×C4—42no—
1506C22×C4—44no—
1507C22×C4—44no—
1508C22×C4—44no—
1509C22×C4—42no—
1510C22×C4—41no—
1511C22×C4—41no—
1512C22×C4—42no—
1513C22×C4—44no—
1514C22×C4—44no—
1515C22×C4—44no—
1516C22×C4—44no—
1517C22×C4—432no—
1518C22×C4C22×D418yes—
1519C22×C4C22×D418yes—
1520C22×C4C22×D414yes—
1521C22×C4C2×#4114yes—
1522C22×C4C2×#4114yes—
1523C22×C4C2×#4114yes—
1524C22×C4C2×#4114yes—
1525C22×C4C2×#4114yes—
1526C22×C4C2×#4114yes—
1527C22×C4H(5,𝔽2)14yes—
1528C22×C4C2512yes—
1529C22×C4C2512yes—
1530C22×C4C2511yescharacteristic
1531C22×C4C2511yescharacteristic
1532C22×C4C2514yes—
1533C22×C4C2512yes—
1534C22×C4C2512yes—
1535C22×C4C2514yes—
1536C22×C4C2512yes—
1537C22×C4C2511yescharacteristic
1538C22×C4C2514yes—
1539C22×C4C2512yes—
1540C22×C4C2512yes—
1541C22×C4C2511yescharacteristic
1542C22×C4C2511yescharacteristic
1543C22×C4C2511yescharacteristic
1544C22×C4C2512yes—
1545C22×C4C2512yes—
1546C22×C4C2512yes—
1547C22×C4C2512yes—
1548C22×C4C2512yes—
1549C22×C4C2514yes—
1550C22×C4C2512yes—
1551C22×C4C2511yescharacteristic
1552C22×C4C2511yescharacteristic
1553C22×C4C2511yescharacteristic
1554C22×C4C2511yescharacteristic
1555C22×C4C2511yescharacteristic
1556C22×C4C2511yescharacteristic
1557C4⋊C4—24no—
1558C4⋊C4—22no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—22no—
1562C4⋊C4—22no—
1563C4⋊C4—24no—
1564C4⋊C4—28no—
1565C4⋊C4—28no—
1566C4⋊C4—28no—
1567C4⋊C4—28no—
1568C4⋊C4—28no—
1569C4⋊C4—28no—
1570C4⋊C4—28no—
1571C4⋊C4—28no—
1572C4⋊C4—28no—
1573C4⋊C4—28no—
1574C4⋊C4—22no—
1575C4⋊C4—24no—
1576C4⋊C4—24no—
1577C4⋊C4—28no—
1578C4⋊C4—24no—
1579C4⋊C4—24no—
1580C4⋊C4—24no—
1581C4⋊C4—24no—
1582C4⋊C4—24no—
1583C4⋊C4—28no—
1584C4⋊C4—24no—
1585C4⋊C4—22no—
1586C4⋊C4—22no—
1587C4⋊C4—24no—
1588C4⋊C4—24no—
1589C4⋊C4—24no—
1590C4⋊C4—24no—
1591C4⋊C4—22no—
1592C4⋊C4—22no—
1593C4⋊C4—24no—
1594C4⋊C4—24no—
1595C4⋊C4—24no—
1596C4⋊C4—44no—
1597C4⋊C4—44no—
1598C4⋊C4—44no—
1599C4⋊C4—42no—
1600C4⋊C4—42no—
1601C4⋊C4—42no—
1602C4⋊C4—42no—
1603C4⋊C4—42no—
1604C4⋊C4—42no—
1605C4⋊C4—44no—
1606C4⋊C4—44no—
1607C4⋊C4—42no—
1608C4⋊C4—42no—
1609C4⋊C4—42no—
1610C4⋊C4—42no—
1611C4⋊C4—42no—
1612C4⋊C4—44no—
1613C4⋊C4—44no—
1614C4⋊C4C22×D414yes—
1615C4⋊C4C22×D414yes—
1616C4⋊C4C22×D4116yes—
1617C4⋊C4C22×D4116yes—
1618C22⋊C4—24no—
1619C22⋊C4—28no—
1620C22⋊C4—28no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—28no—
1624C22⋊C4—24no—
1625C22⋊C4—24no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—24no—
1629C22⋊C4—22no—
1630C22⋊C4—24no—
1631C22⋊C4—28no—
1632C22⋊C4—24no—
1633C22⋊C4—22no—
1634C22⋊C4—22no—
1635C22⋊C4—24no—
1636C22⋊C4—24no—
1637C22⋊C4—28no—
1638C22⋊C4—28no—
1639C22⋊C4—28no—
1640C22⋊C4—28no—
1641C22⋊C4—24no—
1642C22⋊C4—28no—
1643C22⋊C4—28no—
1644C22⋊C4—24no—
1645C22⋊C4—28no—
1646C22⋊C4—24no—
1647C22⋊C4—24no—
1648C22⋊C4—22no—
1649C22⋊C4—22no—
1650C22⋊C4—24no—
1651C22⋊C4—24no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—41no—
1655C22⋊C4—41no—
1656C22⋊C4—44no—
1657C22⋊C4—42no—
1658C22⋊C4—42no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—42no—
1663C22⋊C4—42no—
1664C22⋊C4—42no—
1665C22⋊C4—42no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—42no—
1669C22⋊C4—42no—
1670C22⋊C4—42no—
1671C22⋊C4—42no—
1672C22⋊C4—42no—
1673C22⋊C4—42no—
1674C22⋊C4—44no—
1675C22⋊C4—44no—
1676C22⋊C4C22×D418yes—
1677C22⋊C4C22×D4116yes—
1678C22⋊C4C22×D4116yes—
1679C22⋊C42−1+414yes—
1680C42—28no—
1681C42—24no—
1682C42—24no—
1683C42—24no—
1684C42—22no—
1685C42—22no—
1686C42—28no—
1687C42—22no—
1688C42—22no—
1689C42—28no—
1690C42—28no—
1691C42—24no—
1692C42—24no—
1693C42—22no—
1694C42—22no—
1695C42—22no—
1696C42—22no—
1697C42—24no—
1698C42—44no—
1699C42—44no—
1700C42—44no—
1701C42—44no—
1702C42—44no—
1703C42C22×D418yes—
1704C23—21no—
1705C23—21no—
1706C23—21no—
1707C23—21no—
1708C23—21no—
1709C23—21no—
1710C23—21no—
1711C23—21no—
1712C23—21no—
1713C23—22no—
1714C23—22no—
1715C23—21no—
1716C23—21no—
1717C23—22no—
1718C23—21no—
1719C23—22no—
1720C23—21no—
1721C23—21no—
1722C23—22no—
1723C23—22no—
1724C23—28no—
1725C23—28no—
1726C23—22no—
1727C23—22no—
1728C23—22no—
1729C23—22no—
1730C23—22no—
1731C23—22no—
1732C23—22no—
1733C23—22no—
1734C23—22no—
1735C23—22no—
1736C23—22no—
1737C23—22no—
1738C23—22no—
1739C23—22no—
1740C23—44no—
1741C23—44no—
1742C23—44no—
1743C23—44no—
1744C23—44no—
1745C23—48no—
1746C23—48no—
1747C23—48no—
1748C23—48no—
1749C23—84no—
1750C23—84no—
1751C23—84no—
1752C23C23×D414yes—
1753C23C23×D412yes—
1754C23C22×#4112yes—
1755C23C22×#4112yes—
1756C23C22×#4112yes—
1757C23C2×H(5,𝔽2)12yes—
1758C23C2×2−1+412yes—
1759C23#58512yes—
1760C23C2611yescharacteristic
1761Q8—216no—
1762Q8—216no—
1763Q8—28no—
1764Q8—48no—
1765Q8—416no—
1766Q8—416no—
1767Q8—48no—
1768Q8—48no—
1769Q8—48no—
1770Q8—44no—
1771Q8—44no—
1772Q8—84no—
1773D4—216no—
1774D4—28no—
1775D4—48no—
1776D4—48no—
1777D4—48no—
1778D4—48no—
1779D4—48no—
1780D4—48no—
1781D4—48no—
1782D4—44no—
1783D4—44no—
1784D4—84no—
1785D4—84no—
1786D4—84no—
1787D4—84no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—24no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—24no—
1796C2×C4—21no—
1797C2×C4—21no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—21no—
1802C2×C4—22no—
1803C2×C4—21no—
1804C2×C4—28no—
1805C2×C4—216no—
1806C2×C4—28no—
1807C2×C4—28no—
1808C2×C4—28no—
1809C2×C4—28no—
1810C2×C4—216no—
1811C2×C4—21no—
1812C2×C4—24no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—21no—
1817C2×C4—22no—
1818C2×C4—21no—
1819C2×C4—22no—
1820C2×C4—24no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—24no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—21no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—24no—
1833C2×C4—22no—
1834C2×C4—22no—
1835C2×C4—24no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—24no—
1844C2×C4—21no—
1845C2×C4—21no—
1846C2×C4—22no—
1847C2×C4—24no—
1848C2×C4—22no—
1849C2×C4—21no—
1850C2×C4—21no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—24no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—21no—
1857C2×C4—22no—
1858C2×C4—21no—
1859C2×C4—21no—
1860C2×C4—22no—
1861C2×C4—21no—
1862C2×C4—22no—
1863C2×C4—24no—
1864C2×C4—22no—
1865C2×C4—22no—
1866C2×C4—21no—
1867C2×C4—21no—
1868C2×C4—48no—
1869C2×C4—48no—
1870C2×C4—44no—
1871C2×C4—48no—
1872C2×C4—44no—
1873C2×C4—48no—
1874C2×C4—416no—
1875C2×C4—416no—
1876C2×C4—48no—
1877C2×C4—48no—
1878C2×C4—48no—
1879C2×C4—48no—
1880C2×C4—88no—
1881C2×C4—84no—
1882C2×C4—88no—
1883C2×C4—82no—
1884C2×C4—82no—
1885C2×C4—84no—
1886C2×C4—164no—
1887C2×C4#546116yes—
1888C2×C4C23×D414yes—
1889C2×C4C23×D418yes—
1890C2×C4C23×D414yes—
1891C2×C4C23×D414yes—
1892C2×C4C23×D412yes—
1893C2×C4C23×D412yes—
1894C2×C4C22×#4112yes—
1895C2×C4C22×#4112yes—
1896C2×C4C22×#4112yes—
1897C2×C4C22×#4112yes—
1898C2×C4C2×H(5,𝔽2)12yes—
1899C2×C4C2×H(5,𝔽2)12yes—
1900C2×C4C2×2−1+412yes—
1901C2×C4C2×2−1+412yes—
1902C22—22no—
1903C22—22no—
1904C22—22no—
1905C22—22no—
1906C22—22no—
1907C22—22no—
1908C22—22no—
1909C22—22no—
1910C22—22no—
1911C22—22no—
1912C22—22no—
1913C22—22no—
1914C22—24no—
1915C22—24no—
1916C22—22no—
1917C22—22no—
1918C22—22no—
1919C22—24no—
1920C22—416no—
1921C22—41no—
1922C22—41no—
1923C22—42no—
1924C22—42no—
1925C22—41no—
1926C22—42no—
1927C22—42no—
1928C22—41no—
1929C22—42no—
1930C22—42no—
1931C22—42no—
1932C22—42no—
1933C22—42no—
1934C22—42no—
1935C22—42no—
1936C22—42no—
1937C22—42no—
1938C22—42no—
1939C22—42no—
1940C22—42no—
1941C22—42no—
1942C22—42no—
1943C22—816no—
1944C22C2×#54614yes—
1945C22#350714yescomplemented
1946C22C24×D411yescharacteristic
1947C22C23×#4111yescharacteristic
1948C22C22×H(5,𝔽2)11yescharacteristic
1949C22C22×2−1+411yescharacteristic
1950C22C2×#58511yescharacteristic
1951C222−1+611yescharacteristic
1952C222−1+611yescharacteristic
1953C4—24no—
1954C4—22no—
1955C4—24no—
1956C4—22no—
1957C4—22no—
1958C4—22no—
1959C4—24no—
1960C4—28no—
1961C4—41no—
1962C4—42no—
1963C4—42no—
1964C4—42no—
1965C4—44no—
1966C4—42no—
1967C4—41no—
1968C4—41no—
1969C4—42no—
1970C4—42no—
1971C4—42no—
1972C4—41no—
1973C4—42no—
1974C4—44no—
1975C4—42no—
1976C4—41no—
1977C4—44no—
1978C4—41no—
1979C4—42no—
1980C4C2×#54614yes—
1981C4C2×#54614yes—
1982C2—24no—
1983C2—24no—
1984C2—42no—
1985C2—44no—
1986C2—82no—
1987C2—82no—
1988C2C22×#54611yescharacteristic
1989C2C2×#350711yescharacteristic
1990C2#6286011yescharacteristic
1991C2#6294211yescharacteristic
1992C2#6295411yescharacteristic
1993C2D4×2−1+411yescharacteristic
1994C2#6300211yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#34738C2
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×#3507C2semidirect
2. C22×#536C2semidirect
3. #59148C2semidirect
4. #59147C2semidirect
5. #59144C2semidirect
6. #59134C2semidirect
7. #59027C2semidirect
8. #59025C2semidirect
9. #59016C2semidirect
10. #59014C2semidirect
11. #45325C2semidirect
12. #45323C2semidirect
13. #45240C2semidirect
14. #45237C2semidirect
15. #45146C2semidirect
16. #45144C2semidirect
17. #45114C2semidirect
18. #45113C2semidirect
19. #39431C2semidirect
20. #37779C2semidirect
21. #37661C2semidirect
22. #36109C2semidirect
23. #35628C2semidirect
24. #35621C2semidirect
25. #35621C2semidirect
26. #35619C2semidirect
27. #35242C2semidirect
28. #35182C2semidirect
29. #35178C2semidirect
30. #34739C2semidirect
32. #34266C2semidirect
33. #34202C2semidirect
34. #34175C2semidirect
35. C2×Q8×C22⋊C4C2semidirect
39. C2×#559C22semidirect
40. C2×#557C22semidirect
41. C2×#556C22semidirect
42. C2×#556C22semidirect
43. C2×#556C22semidirect
44. C2×#554C22semidirect
45. C2×#552C22semidirect
46. C2×#552C22semidirect
47. C2×#539C22semidirect
58. C2×#536C22semidirect
59. C2×#536C22semidirect
60. C2×#533C22semidirect
64. C2×#529C22semidirect
72. C2×#520C22semidirect
73. C22×C4×Q8C22semidirect
74. C22×C4×Q8C22semidirect
76. #2854C22semidirect
77. #2853C22semidirect
79. #2716C22semidirect
80. #2716C22semidirect
81. #2715C22semidirect
82. #2713C22semidirect
83. #2713C22semidirect
84. #2712C22semidirect
85. #2710C22semidirect
86. #2707C22semidirect
87. #2706C22semidirect
88. #2705C22semidirect
89. #2704C22semidirect
90. #2702C22semidirect
91. #2700C22semidirect
92. #2700C22semidirect
93. #2698C22semidirect
94. #2696C22semidirect
95. #2695C22semidirect
96. #2694C22semidirect
97. #2693C22semidirect
98. #2692C22semidirect
99. #2690C22semidirect
100. #2689C22semidirect
101. #2687C22semidirect
102. #2687C22semidirect
103. #2623C22semidirect
104. #2618C22semidirect
105. #2614C22semidirect
106. #2592C22semidirect
107. #2592C22semidirect
108. #2568C22semidirect
109. #2568C22semidirect
110. #2560C22semidirect
111. #2558C22semidirect
112. #2557C22semidirect
113. #2557C22semidirect
114. #2556C22semidirect
115. #2554C22semidirect
116. #2553C22semidirect
117. #2550C22semidirect
118. #2549C22semidirect
119. #2548C22semidirect
120. #2547C22semidirect
121. #2547C22semidirect
122. #2546C22semidirect
123. #2546C22semidirect
124. #2546C22semidirect
125. #2545C22semidirect
126. #2545C22semidirect
127. #2545C22semidirect
128. #2545C22semidirect
129. #2544C22semidirect
130. #2544C22semidirect
131. #2538C22semidirect
132. #2538C22semidirect
133. #2536C22semidirect
134. #2536C22semidirect
135. #2521C22semidirect
136. #2503C22semidirect
137. #2502C22semidirect
138. #2499C22semidirect
139. #2499C22semidirect
140. #2492C22semidirect
141. #2492C22semidirect
142. #2492C22semidirect
143. #2489C22semidirect
144. #2489C22semidirect
145. #2488C22semidirect
146. #2488C22semidirect
147. #2488C22semidirect
152. #2477C22semidirect
153. #2474C22semidirect
157. #2471C22semidirect
158. #2470C22semidirect
159. #2465C22semidirect
160. #2459C22semidirect
161. #2458C22semidirect
162. #2457C22semidirect
163. #2451C22semidirect
164. #2450C22semidirect
165. #2448C22semidirect
166. #2448C22semidirect
167. #2447C22semidirect
168. #2447C22semidirect
169. #2446C22semidirect
170. #2446C22semidirect
171. #2446C22semidirect
172. #2446C22semidirect
176. #2441C22semidirect
177. #2441C22semidirect
180. #2439C22semidirect
181. #2439C22semidirect
182. #2439C22semidirect
183. #2438C22semidirect
184. #2438C22semidirect
185. #2438C22semidirect
191. #2436C22semidirect
195. #2434C22semidirect
203. #2425C22semidirect
204. #2425C22semidirect
205. #2425C22semidirect
206. #2425C22semidirect
207. #2423C22semidirect
208. #2423C22semidirect
209. #2421C22semidirect
210. #2421C22semidirect
211. #2419C22semidirect
212. #2419C22semidirect
215. #2417C22semidirect
216. #2417C22semidirect
217. #2417C22semidirect
218. #2417C22semidirect
219. #2415C22semidirect
220. #2415C22semidirect
221. #2415C22semidirect
222. #2415C22semidirect
228. #2409C22semidirect
229. #2409C22semidirect
230. #2396C22semidirect
231. #2396C22semidirect
234. #2367C22semidirect
235. #2367C22semidirect
236. #2365C22semidirect
237. #2365C22semidirect
238. #2362C22semidirect
239. #2362C22semidirect
241. #2360C22semidirect
242. #2360C22semidirect
243. #2359C22semidirect
246. #2354C22semidirect
249. #2352C22semidirect
258. Q8×C22⋊C4C22semidirect
259. Q8×C22⋊C4C22semidirect
260. Q8×C22⋊C4C22semidirect
261. Q8×C22⋊C4C22semidirect
266. #2324C22semidirect
267. #2323C22semidirect
268. #2322C22semidirect
269. #2317C22semidirect
274. #2311C22semidirect
275. #2310C22semidirect
276. #2310C22semidirect
280. C4×#123C22semidirect
286. #2296C22semidirect
287. #2296C22semidirect
288. C2×#391C22semidirect
289. C2×#391C22semidirect
290. C2×#391C22semidirect
291. C2×#391C22semidirect
292. #2285C22semidirect
298. #2274C22semidirect
346. #536D4semidirect
1945. C22#3507semidirect

Maximal subgroups

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

subgroupindex
C2×#35072
C22×#5362
#591482
#591472
#591442
#591342
#590272
#590252
#590162
#590142
#453252
#453232
#452402
#452372
#451462
#451442
#451142
#451132
#394312
#377792
#376612
#361092
#356282
#356212
#356192
#352422
#351822
#351782
#347392
#347382
#342662
#342022
#341752
C2×Q8×C22⋊C42