Finite Group Databasebeta

← #7720526

Subgroups — #7720526

Order 512.

7125 conjugacy classes of subgroups.

The subgroup lattice has 1986 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3554C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#51061C214yesmaximal, complemented
4#50886C214yesmaximal, complemented
5#50860C214yesmaximal, complemented
6#50859C214yesmaximal, complemented
7#45071C212yesmaximal, complemented
8#45057C212yesmaximal, complemented
9#45016C212yesmaximal, complemented
10#45002C212yesmaximal, complemented
11#44987C212yesmaximal, complemented
12#44964C212yesmaximal, complemented
13#44948C212yesmaximal, complemented
14#44888C212yesmaximal, complemented
15#39726C211yesmaximal, characteristic, complemented
16#39724C211yesmaximal, characteristic, complemented
17#38911C211yesmaximal, characteristic, complemented
18#38909C211yesmaximal, characteristic, complemented
19#38908C212yesmaximal, complemented
20#38903C212yesmaximal, complemented
21#37656C212yesmaximal, complemented
22#37649C212yesmaximal, complemented
23#37379C212yesmaximal, complemented
24#37277C212yesmaximal, complemented
25#36493C211yesmaximal, characteristic, complemented
26#36445C211yesmaximal, characteristic, complemented
27#36101C211yesmaximal, characteristic, complemented
28D4×C22⋊Q8C211yesmaximal, characteristic, complemented
29#35306C212yesmaximal, complemented
30#35280C211yesmaximal, characteristic, complemented
31#35273C211yesmaximal, characteristic, complemented
32#35260C212yesmaximal, complemented
33#35190C211yesmaximal, characteristic, complemented
34#34627C211yesmaximal, characteristic, complemented
35#34384C211yesmaximal, characteristic, complemented
36#3554—216no—
37C2×#562C2214yescomplemented
38C2×#559C2212yes—
39C2×#559C2211yescharacteristic, complemented
40C2×#557C2211yescharacteristic, complemented
41#3475—216no—
42C2×#556C2211yescharacteristic
43C2×#555C2211yescharacteristic
44C2×#554C2211yescharacteristic
45C2×#554C2212yescomplemented
46C2×#553C2212yes—
47C2×#552C2211yescharacteristic
48C2×#552C2212yes—
49C2×#552C2211yescharacteristic
50C2×#551C2212yes—
51C2×#551C2212yes—
52C2×#550C2211yescharacteristic
53C2×D4×Q8C2211yescharacteristic
54C2×#548C2212yescomplemented
55C2×#547C2211yescharacteristic
56C2×#547C2212yescomplemented
57C2×#546C2211yescharacteristic
58C2×#546C2211yescharacteristic
59C2×#542C2212yescomplemented
60C2×#542C2212yescomplemented
61C2×#540C2212yes—
62C2×#539C2214yescomplemented
63C2×#537C2212yes—
64C2×#536C2212yescomplemented
65C2×#533C2211yescharacteristic
66C2×#533C2211yescharacteristic, complemented
67C2×#532C2211yescharacteristic, complemented
68C2×#529C2212yes—
69C2×#529C2212yes—
70C2×#529C2211yescharacteristic
71C2×#529C2211yescharacteristic
72C2×#525C2212yes—
73C2×#525C2212yes—
74C22×C22⋊Q8C2212yes—
75C2×C4×#41C2211yescharacteristic
76C2×C4×#41C2211yescharacteristic
77C2×C4×#41C2211yescharacteristic
78C22×C4×D4C2211yescharacteristic
79C22×#117C2212yes—
80#2857C2211yescharacteristic
81#2857C2212yescomplemented
82#2857C2211yescharacteristic, complemented
83#2857C2212yescomplemented
84#2857C2212yescomplemented
85#2856C2211yescharacteristic
86#2856C2211yescharacteristic, complemented
87#2850C2212yescomplemented
88#2850C2212yescomplemented
89#2850C2212yescomplemented
90#2848C2212yes—
91#2847C2212yes—
92#2725C2214yescomplemented
93#2723C2214yescomplemented
94#2720C2214yescomplemented
95#2719C2214yescomplemented
96#2718C2214yescomplemented
97#2715C2214yescomplemented
98#2710C2214yescomplemented
99#2707C2214yescomplemented
100#2706C2214yes—
101#2705C2214yescomplemented
102#2703C2214yes—
103#2702C2214yescomplemented
104#2696C2214yescomplemented
105#2695C2214yescomplemented
106#2695C2214yescomplemented
107#2693C2214yes—
108#2693C2214yes—
109#2693C2214yescomplemented
110#2692C2214yescomplemented
111#2692C2214yescomplemented
112#2691C2214yescomplemented
113#2690C2214yes—
114#2690C2214yescomplemented
115#2689C2214yescomplemented
116#2688C2214yes—
117#2687C2214yescomplemented
118#2686C2214yescomplemented
119#2683C2214yescomplemented
120#2683C2214yescomplemented
121#2681C2214yes—
122#2681C2214yes—
123#2680C2214yescomplemented
124#2678C2214yes—
125#2676C2214yes—
126#2676C2214yescomplemented
127#2672C2214yes—
128#2672C2214yescomplemented
129#2671C2214yescomplemented
130#2671C2214yescomplemented
131#2668C2214yes—
132#2638C2212yes—
133#2638C2212yescomplemented
134#2635C2214yescomplemented
135#2634C2212yescomplemented
136#2633C2212yes—
137#2629C2214yescomplemented
138#2628C2211yescharacteristic
139#2628C2211yescharacteristic, complemented
140#2625C2211yescharacteristic, complemented
141#2625C2211yescharacteristic, complemented
142#2625C2212yescomplemented
143#2624C2212yescomplemented
144#2621C2212yes—
145#2621C2211yescharacteristic
146#2621C2211yescharacteristic, complemented
147#2620C2212yes—
148#2620C2212yes—
149#2620C2212yescomplemented
150#2616C2211yescharacteristic
151#2616C2211yescharacteristic
152#2598C2214yescomplemented
153#2592C2212yescomplemented
154#2582C2212yescomplemented
155#2582C2211yescharacteristic, complemented
156#2582C2211yescharacteristic, complemented
157#2581C2212yescomplemented
158#2568C2212yescomplemented
159#2568C2211yescharacteristic, complemented
160#2557C2214yescomplemented
161#2550C2212yescomplemented
162#2550C2212yescomplemented
163#2548C2211yescharacteristic, complemented
164#2545C2212yescomplemented
165#2544C2212yes—
166#2542C2211yescharacteristic
167#2542C2212yescomplemented
168#2541C2211yescharacteristic
169#2540C2212yescomplemented
170#2538C2212yes—
171#2538C2211yescharacteristic
172#2538C2211yescharacteristic
173#2538C2212yescomplemented
174#2538C2212yescomplemented
175#2538C2212yescomplemented
176#2538C2212yescomplemented
177#2537C2212yes—
178#2537C2212yes—
179#2535C2214yes—
180#2535C2212yescomplemented
181#2521C2214yescomplemented
182#2500C2212yescomplemented
183#2492C2212yescomplemented
184#2489C2212yes—
185#2481C2214yescomplemented
186#2479C2214yes—
187#2477C2214yes—
188#2474C2214yescomplemented
189#2472C2214yes—
190#2471C2214yescomplemented
191#2470C2214yescomplemented
192#2468C2214yescomplemented
193#2464C2214yescomplemented
194#2457C2214yes—
195#2456C2214yes—
196#2456C2214yescomplemented
197#2454C2212yes—
198#2454C2214yescomplemented
199#2454C2212yescomplemented
200#2452C2212yes—
201#2452C2212yescomplemented
202#2449C2214yes—
203#2449C2214yescomplemented
204#2449C2214yescomplemented
205#2449C2214yescomplemented
206#2448C2212yescomplemented
207#2447C2212yes—
208#2446C2212yescomplemented
209#2445C2212yes—
210#2443C2214yes—
211#2442C2214yescomplemented
212#2441C2212yescomplemented
213#2441C2214yescomplemented
214#2440C2212yes—
215#2437C2214yes—
216#2433C2212yes—
217#2431C2212yes—
218#2431C2212yes—
219#2428C2212yes—
220#2427C2212yes—
221#2427C2212yescomplemented
222#2427C2214yescomplemented
223#2426C2212yes—
224#2424C2214yes—
225#2424C2214yes—
226#2424C2214yes—
227#2422C2214yes—
228#2421C2212yes—
229#2420C2212yes—
230#2418C2214yes—
231#2417C2212yes—
232#2417C2212yescomplemented
233#2417C2212yescomplemented
234#2417C2214yescomplemented
235#2417C2214yescomplemented
236#2417C2214yescomplemented
237#2417C2214yescomplemented
238#2416C2212yes—
239#2416C2212yes—
240#2416C2214yescomplemented
241#2416C2212yescomplemented
242#2416C2212yescomplemented
243#2416C2212yescomplemented
244#2415C2214yes—
245#2415C2214yes—
246#2415C2212yescomplemented
247#2414C2212yes—
248#2413C2214yescomplemented
249#2413C2214yescomplemented
250#2412C2214yes—
251#2412C2214yes—
252#2409C2212yes—
253#2409C2212yescomplemented
254#2407C2212yes—
255#2407C2212yescomplemented
256#2407C2212yescomplemented
257#2407C2212yescomplemented
258#2399C2212yescomplemented
259#2398C2212yes—
260#2395C2212yes—
261#2395C2212yescomplemented
262#2383C2214yescomplemented
263#2366C2212yes—
264#2366C2212yes—
265#2363C2212yescomplemented
266#2361C2212yes—
267#2361C2212yes—
268#2360C2212yescomplemented
269#2355C2211yescharacteristic, complemented
270#2354C2211yescharacteristic
271#2352C2212yescomplemented
272Q8×C4⋊C4C2211yescharacteristic, complemented
273Q8×C4⋊C4C2212yescomplemented
274D4×C4⋊C4C2211yescharacteristic
275D4×C4⋊C4C2212yes—
276D4×C4⋊C4C2212yescomplemented
277#2341C2212yes—
278D4×C22⋊C4C2212yes—
279#2330C2212yescomplemented
280#2328C2212yes—
281#2326C2212yes—
282#2326C2212yescomplemented
283#2324C2212yes—
284#2323C2212yes—
285#2322C2214yescomplemented
286#2317C2212yescomplemented
287#2316C2212yescomplemented
288#2314C2212yescomplemented
289#2311C2212yes—
290#2311C2212yescomplemented
291#2311C2212yescomplemented
292#2310C2212yescomplemented
293C4×C22⋊Q8C2211yescharacteristic
294C4×C22⋊Q8C2211yescharacteristic
295C4×C22⋊Q8C2211yescharacteristic, complemented
296C4×C22⋊Q8C2211yescharacteristic, complemented
297C4×C22⋊Q8C2212yescomplemented
298C4×#121C2212yescomplemented
299C2×#384C2211yescharacteristic, complemented
300#2283C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2312yes—
305C22×#41C2312yes—
306C23×Q8C2312yes—
307C23×D4C2311yescharacteristic
308C24×C4C2312yes—
309#562—232no—
310#559—216no—
311#559—28no—
312#557—28no—
313#556—28no—
314#555—28no—
315#554—28no—
316#554—216no—
317#553—216no—
318#552—216no—
319#552—28no—
320#552—28no—
321#551—216no—
322#551—216no—
323#550—28no—
324D4×Q8—28no—
325#548—216no—
326#547—28no—
327#547—216no—
328#546—28no—
329#546—28no—
330#542—216no—
331#542—216no—
332#540—216no—
333#539—232no—
334#537—48no—
335#536—216no—
336#533—28no—
337#533—28no—
338#532—28no—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2311yescharacteristic
345C2×C4⋊Q8C2312yes—
346C2×#127C2312yes—
347C2×#127C2311yescharacteristic
348C2×#127C2312yes—
349#529—216no—
350#529—28no—
351#529—216no—
352#529D4116yescomplemented
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2314yes—
359C2×#126C2312yes—
360C2×#125C2312yes—
361C2×#125C2312yes—
362C2×#125C2312yes—
363C2×#125C2311yescharacteristic
364C2×#125C2312yes—
365C2×#125C2314yes—
366C2×#125C2312yes—
367C2×#125C2311yescharacteristic
368C2×#124C2312yes—
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2311yescharacteristic
373C2×#124C2314yes—
374C2×#124C2314yes—
375C2×#124C2312yes—
376C2×#124C2312yes—
377C2×#124C2311yescharacteristic
378#525—216no—
379#525—48no—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2314yes—
383C2×#123C2314yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2312yes—
395C2×C22⋊Q8—48no—
396C2×C22⋊Q8C2312yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2311yescharacteristic
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2312yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2314yes—
414C2×C22⋊Q8C2314yes—
415C2×C22⋊Q8C2314yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2312yes—
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2311yescharacteristic
423C2×C22⋊Q8C2314yes—
424C2×C22⋊Q8C2314yes—
425C2×C22⋊Q8C2314yes—
426C2×C22⋊Q8C2314yes—
427C2×C22⋊Q8C2314yes—
428C2×C22⋊Q8C2311yescharacteristic
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2314yes—
435C2×#121C2314yes—
436C2×#121C2311yescharacteristic
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2314yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2312yes—
445C2×#121C2312yes—
446C2×#121C2314yes—
447C2×#121C2314yes—
448C2×#121C2314yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2314yes—
452C2×#121C2311yescharacteristic
453C2×#120C2312yes—
454C2×#120C2312yes—
455C2×#120C2314yes—
456C2×#120C2314yes—
457C4×#41—28no—
458C4×#41—28no—
459C4×#41—28no—
460C2×C4×Q8C2312yes—
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2312yes—
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2312yes—
468C2×C4×Q8C2311yescharacteristic
469C2×C4×Q8C2311yescharacteristic
470C2×C4×Q8C2311yescharacteristic
471C2×C4×Q8C2312yes—
472C2×C4×Q8C2311yescharacteristic
473C2×C4×D4—28no—
474C2×C4×D4C2312yes—
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2311yescharacteristic
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2312yes—
493C2×C4×D4C2312yes—
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2314yes—
499C2×C4×D4C2312yes—
500C2×C4×D4C2314yes—
501C2×C4×D4C2314yes—
502C2×C4×D4C2314yes—
503C2×C4×D4C2314yes—
504C2×C4×D4C2311yescharacteristic
505C2×C4×D4C2312yes—
506C2×#117—216no—
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2311yescharacteristic
510C2×#117C2311yescharacteristic
511C2×#117C2312yes—
512C2×#117C2312yes—
513C2×#117C2311yescharacteristic
514C2×#117C2311yescharacteristic
515C2×#117C2311yescharacteristic
516C2×#117C2312yes—
517C2×#117C2312yes—
518C2×#117C2312yes—
519C2×#117C2312yes—
520C2×#117C2312yes—
521C2×#117C2312yes—
522C2×#117C2312yes—
523C22×C4⋊C4C2311yescharacteristic
524C22×C4⋊C4C2312yes—
525C22×C4⋊C4C2312yes—
526C22×C4⋊C4C2314yes—
527C22×C4⋊C4C2312yes—
528C22×C4⋊C4C2312yes—
529C22×C4⋊C4C2312yes—
530C22×C4⋊C4C2314yes—
531C22×C4⋊C4C2312yes—
532C22×C22⋊C4C2312yes—
533C22×C22⋊C4C2312yes—
534C22×C22⋊C4C2312yes—
535C22×C22⋊C4C2314yes—
536C22×C42C2312yes—
537C22×C42C2312yes—
538C22×C42C2311yescharacteristic
539C22×C42C2311yescharacteristic
540C22×C42C2311yescharacteristic
541#400C2314yes—
542#400C2314yes—
543#400C2314yes—
544#400C2314yes—
545#400C2312yes—
546#400C2312yes—
547#400C2314yes—
548#400C2312yes—
549#400C2312yes—
550#399C2314yes—
551#399C2314yes—
552#399C2312yes—
553#399C2312yes—
554#399C2314yes—
555#399C2314yes—
556#399C2314yes—
557#398C2314yes—
558#398C2314yes—
559#398C2314yes—
560#398C2314yes—
561#398C2312yes—
562#398C2312yes—
563#398C2314yes—
564#398C2314yes—
565#398C2312yes—
566#398C2312yes—
567#398C2312yes—
568#398C2312yes—
569#398C2314yes—
570#398C2314yes—
571#397C2314yes—
572#397C2312yes—
573#397C2312yes—
574#397C2314yes—
575#397C2314yes—
576#397C2312yes—
577#397C2312yes—
578#397C2314yes—
579#397C2312yes—
580#397C2312yes—
581#397C2312yes—
582#397C2312yes—
583#397C2314yes—
584#397C2314yes—
585#397C2314yes—
586#397C2314yes—
587#396C2314yes—
588#396C2314yes—
589#396C2314yes—
590#396C2314yes—
591#396C2314yes—
592#396C2314yes—
593#396C2314yes—
594#396C2314yes—
595#396C2314yes—
596#396C2314yes—
597#396C2314yes—
598#396C2314yes—
599#396C2314yes—
600#396C2314yes—
601#396C2314yes—
602#396C2314yes—
603#395C2314yes—
604#395C2312yes—
605#395C2312yes—
606#395C2312yes—
607#395C2312yes—
608#395C2314yes—
609#395C2314yes—
610#394C2314yes—
611#394C2312yes—
612#394C2312yes—
613#394C2312yes—
614#394C2312yes—
615#394C2312yes—
616#394C2312yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#394C2314yes—
624#394C2314yes—
625#394C2314yes—
626#394C2314yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#394C2314yes—
631#394C2314yes—
632#393C2314yes—
633#393C2312yes—
634#393C2312yes—
635#393C2314yes—
636#393C2314yes—
637#392C2314yes—
638#392C2314yes—
639#392C2314yes—
640#392C2314yes—
641#392C2314yes—
642#392C2314yes—
643#392C2314yes—
644#392C2314yes—
645#391C2311yescharacteristic
646#391C2312yes—
647#391C2312yes—
648#391C2312yes—
649#391C2314yes—
650#391C2314yes—
651#391C2312yes—
652#391C2312yes—
653#391C2311yescharacteristic
654#391C2312yes—
655#391C2312yes—
656#391C2312yes—
657#391C2311yescharacteristic
658#391C2312yes—
659#391C2314yes—
660#391C2312yes—
661#391C2314yes—
662#391C2311yescharacteristic
663#390C2312yes—
664#390C2312yes—
665#390C2312yes—
666#390C2312yes—
667#390C2312yes—
668#390C2312yes—
669#390C2314yes—
670#390C2312yes—
671#390C2312yes—
672#390C2312yes—
673#390C2312yes—
674#390C2314yes—
675#390C2314yes—
676#390C2312yes—
677#390C2312yes—
678#390C2312yes—
679#390C2312yes—
680#390C2314yes—
681#390C2314yes—
682#390C2314yes—
683#389C2312yes—
684#389C2312yes—
685#389C2312yes—
686#389C2312yes—
687#389C2314yes—
688#389C2314yes—
689#389C2314yes—
690#389C2314yes—
691#389C2314yes—
692#389C2312yes—
693#389C2314yes—
694#389C2312yes—
695#389C2311yescharacteristic
696#389C2314yes—
697#389C2312yes—
698#389C2314yes—
699#389C2312yes—
700#389C2312yes—
701#389C2312yes—
702#389C2314yes—
703#389C2312yes—
704#389C2314yes—
705#389C2312yes—
706#389C2314yes—
707#389C2311yescharacteristic
708#389C2311yescharacteristic
709#389C2311yescharacteristic
710#389C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2314yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2314yes—
723#388C2314yes—
724#388C2314yes—
725#388C2314yes—
726#388C2314yes—
727#388C2314yes—
728#388C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2312yes—
737#387C2312yes—
738#387C2312yes—
739#387C2312yes—
740#387C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#385C2314yes—
770#385C2314yes—
771#385C2314yes—
772#385C2314yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2312yes—
783#385C2312yes—
784#385C2312yes—
785#385C2312yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#384C2312yes—
790#384C2312yes—
791#384C2312yes—
792#384C2312yes—
793#384C2311yescharacteristic
794#384C2311yescharacteristic
795#384C2314yes—
796#384C2312yes—
797#383C2312yes—
798#382C2312yes—
799#382C2314yes—
800#382C2311yescharacteristic
801#382C2311yescharacteristic
802#382C2312yes—
803#381C2314yes—
804#381C2314yes—
805#381C2312yes—
806#380C2314yes—
807#380C2314yes—
808#380C2314yes—
809#380C2314yes—
810#380C2314yes—
811#380C2314yes—
812#380C2312yes—
813#380C2312yes—
814#380C2314yes—
815#380C2314yes—
816#380C2311yescharacteristic
817#380C2311yescharacteristic
818#380C2312yes—
819#380C2312yes—
820#380C2312yes—
821#380C2314yes—
822#380C2312yes—
823#380C2312yes—
824#380C2314yes—
825#380C2314yes—
826#380C2312yes—
827#380C2314yes—
828#380C2311yescharacteristic
829#380C2311yescharacteristic
830#380C2311yescharacteristic
831#380C2311yescharacteristic
832#380C2314yes—
833#379C2314yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2311yescharacteristic
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2312yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2311yescharacteristic
840C4×C4⋊C4C2312yes—
841C4×C4⋊C4C2312yes—
842C4×C4⋊C4C2314yes—
843C4×C4⋊C4C2312yes—
844C4×C4⋊C4C2312yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2312yes—
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2314yes—
849C4×C22⋊C4C2312yes—
850C4×C22⋊C4C2312yes—
851C4×C22⋊C4C2312yes—
852C4×C22⋊C4C2314yes—
853#376C2312yes—
854C25C2412yes—
855C2×#41—24no—
856C2×#41—24no—
857C2×#41—24no—
858C2×#41—24no—
859C2×#41—24no—
860C2×#41—28no—
861C2×#41—28no—
862C2×#41—24no—
863C2×#41—42no—
864C2×#41—42no—
865C2×#41—42no—
866C2×#41—44no—
867C2×#41—44no—
868C2×#41—44no—
869C2×#41—44no—
870C22×Q8—28no—
871C22×Q8—44no—
872C22×Q8—44no—
873C22×Q8C2411yescharacteristic
874C22×Q8C2411yescharacteristic
875C22×Q8C2412yes—
876C22×Q8C2411yescharacteristic
877C22×Q8C2411yescharacteristic
878C22×Q8C2411yescharacteristic
879C22×Q8C2412yes—
880C22×Q8C2412yes—
881C22×Q8C2414yes—
882C22×D4—24no—
883C22×D4—24no—
884C22×D4—42no—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2411yescharacteristic
888C22×D4C2411yescharacteristic
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2411yescharacteristic
892C22×D4C2412yes—
893C22×D4C2411yescharacteristic
894C22×D4C2411yescharacteristic
895C22×D4C2414yes—
896C22×D4C2412yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2412yes—
905C23×C4—28no—
906C23×C4—28no—
907C23×C4—44no—
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2412yes—
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2414yes—
925C23×C4C2414yes—
926C23×C4C2414yes—
927C23×C4C2414yes—
928C23×C4C2411yescharacteristic
929C23×C4C2414yes—
930C23×C4C2414yes—
931C23×C4C2411yescharacteristic
932C4⋊Q8—24no—
933C4⋊Q8—24no—
934C4⋊Q8—28no—
935C4⋊Q8—24no—
936C4⋊Q8—24no—
937C4⋊Q8—24no—
938C4⋊Q8—28no—
939#127—28no—
940#127—28no—
941#127—24no—
942#126—28no—
943#126—216no—
944#126—28no—
945#126—28no—
946#126—28no—
947#126—28no—
948#126C2×D4116yes—
949#125—28no—
950#125—28no—
951#125—24no—
952#125—28no—
953#125—216no—
954#125—28no—
955#125—28no—
956#125C2×D418yes—
957#124—28no—
958#124—24no—
959#124—28no—
960#124—28no—
961#124—216no—
962#124—216no—
963#124—28no—
964#124—28no—
965#124—44no—
966#124C2×D418yes—
967#123—28no—
968#123—28no—
969#123—216no—
970#123—28no—
971#123—28no—
972#123—28no—
973#123—28no—
974#123—28no—
975#123—216no—
976#123—216no—
977#123—216no—
978#123—216no—
979#123—216no—
980#123—48no—
981#123C2×D4116yes—
982C22⋊Q8—24no—
983C22⋊Q8—24no—
984C22⋊Q8—24no—
985C22⋊Q8—28no—
986C22⋊Q8—28no—
987C22⋊Q8—24no—
988C22⋊Q8—28no—
989C22⋊Q8—24no—
990C22⋊Q8—28no—
991C22⋊Q8—24no—
992C22⋊Q8—28no—
993C22⋊Q8—28no—
994C22⋊Q8—24no—
995C22⋊Q8—28no—
996C22⋊Q8—216no—
997C22⋊Q8—216no—
998C22⋊Q8—216no—
999C22⋊Q8—216no—
1000C22⋊Q8—28no—
1001C22⋊Q8—216no—
1002C22⋊Q8—48no—
1003C22⋊Q8—48no—
1004C22⋊Q8—48no—
1005C22⋊Q8—44no—
1006C22⋊Q8—44no—
1007C22⋊Q8—42no—
1008C22⋊Q8—44no—
1009C22⋊Q8—42no—
1010C22⋊Q8—44no—
1011C22⋊Q8—44no—
1012C22⋊Q8—84no—
1013C22⋊Q8—84no—
1014C22⋊Q8C2×D418yes—
1015#121—28no—
1016#121—28no—
1017#121—24no—
1018#121—216no—
1019#121—216no—
1020#121—28no—
1021#121—28no—
1022#121—28no—
1023#121—28no—
1024#121—28no—
1025#121—28no—
1026#121—216no—
1027#121—48no—
1028#121—48no—
1029#121—48no—
1030#121—44no—
1031#121—44no—
1032#121—44no—
1033#121—44no—
1034#121—44no—
1035#121—82no—
1036#121—84no—
1037#121—82no—
1038#121C2×D418yes—
1039#120—28no—
1040#120—28no—
1041#120—48no—
1042#120—84no—
1043C4×Q8—24no—
1044C4×Q8—28no—
1045C4×Q8—24no—
1046C4×Q8—24no—
1047C4×Q8—24no—
1048C4×Q8—24no—
1049C4×Q8—28no—
1050C4×Q8—24no—
1051C4×Q8—24no—
1052C4×Q8—28no—
1053C4×Q8—28no—
1054C4×Q8—44no—
1055C4×Q8C2×D418yes—
1056C4×D4—24no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—24no—
1061C4×D4—24no—
1062C4×D4—24no—
1063C4×D4—28no—
1064C4×D4—24no—
1065C4×D4—28no—
1066C4×D4—24no—
1067C4×D4—24no—
1068C4×D4—28no—
1069C4×D4—28no—
1070C4×D4—28no—
1071C4×D4—28no—
1072C4×D4—216no—
1073C4×D4—24no—
1074C4×D4—28no—
1075C4×D4—24no—
1076C4×D4—24no—
1077C4×D4—24no—
1078C4×D4—28no—
1079C4×D4—28no—
1080C4×D4—28no—
1081C4×D4—44no—
1082C4×D4—48no—
1083C4×D4—48no—
1084C4×D4—84no—
1085C4×D4—84no—
1086C4×D4C2×D418yes—
1087C4×D4C2×D4116yes—
1088#117—28no—
1089#117—24no—
1090#117—24no—
1091#117—28no—
1092#117—28no—
1093#117—28no—
1094#117—28no—
1095#117—24no—
1096#117—28no—
1097#117—28no—
1098#117—24no—
1099#117—28no—
1100#117—24no—
1101#117—28no—
1102#117—44no—
1103#117C2×D4116yes—
1104C2×C4⋊C4—28no—
1105C2×C4⋊C4—28no—
1106C2×C4⋊C4—24no—
1107C2×C4⋊C4—216no—
1108C2×C4⋊C4—44no—
1109C2×C4⋊C4—44no—
1110C2×C4⋊C4—48no—
1111C2×C4⋊C4—44no—
1112C2×C4⋊C4—82no—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2411yescharacteristic
1132C2×C4⋊C4C2411yescharacteristic
1133C2×C4⋊C4C2411yescharacteristic
1134C2×C4⋊C4C2411yescharacteristic
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2411yescharacteristic
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2414yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2411yescharacteristic
1158C2×C4⋊C4C2411yescharacteristic
1159C2×C4⋊C4C2414yes—
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2414yes—
1163C2×C4⋊C4C2414yes—
1164C2×C4⋊C4C2414yes—
1165C2×C4⋊C4C2414yes—
1166C2×C4⋊C4C2414yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2414yes—
1169C2×C4⋊C4C2414yes—
1170C2×C4⋊C4C2414yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2412yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2412yes—
1177C2×C4⋊C4C2412yes—
1178C2×C4⋊C4C2412yes—
1179C2×C4⋊C4C2412yes—
1180C2×C4⋊C4C2412yes—
1181C2×C4⋊C4C2412yes—
1182C2×C4⋊C4C2412yes—
1183C2×C4⋊C4C2411yescharacteristic
1184C2×C4⋊C4C2411yescharacteristic
1185C2×C4⋊C4C2412yes—
1186C2×C22⋊C4—28no—
1187C2×C22⋊C4—28no—
1188C2×C22⋊C4—28no—
1189C2×C22⋊C4—48no—
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2411yescharacteristic
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2411yescharacteristic
1204C2×C22⋊C4C2411yescharacteristic
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2411yescharacteristic
1208C2×C22⋊C4C2411yescharacteristic
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2414yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2412yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2414yes—
1238C2×C22⋊C4C2414yes—
1239C2×C22⋊C4C2414yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2412yes—
1244C2×C22⋊C4C2412yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2412yes—
1248C2×C22⋊C4C2412yes—
1249C2×C22⋊C4C2412yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2412yes—
1252C2×C22⋊C4C2412yes—
1253C2×C22⋊C4C2412yes—
1254C2×C22⋊C4C2412yes—
1255C2×C22⋊C4C2412yes—
1256C2×C42—28no—
1257C2×C42—28no—
1258C2×C42—24no—
1259C2×C42—24no—
1260C2×C42C2×D418yes—
1261C2×C42C2412yes—
1262C2×C42C2412yes—
1263C2×C42C2411yescharacteristic
1264C2×C42C2412yes—
1265C2×C42C2411yescharacteristic
1266C2×C42C2412yes—
1267C2×C42C2411yescharacteristic
1268C2×C42C2412yes—
1269C2×C42C2412yes—
1270C2×C42C2412yes—
1271C2×C42C2411yescharacteristic
1272C2×C42C2411yescharacteristic
1273C2×C42C2411yescharacteristic
1274C2×C42C2414yes—
1275C2×C42C2412yes—
1276C2×C42C2412yes—
1277C2×C42C2414yes—
1278C2×C42C2414yes—
1279C2×C42C2414yes—
1280C2×C42C2411yescharacteristic
1281C2×C42C2412yes—
1282C2×C42C2411yescharacteristic
1283C2×C42C2411yescharacteristic
1284C2×C42C2411yescharacteristic
1285#95C2412yes—
1286#95C2412yes—
1287#95C2412yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2412yes—
1295#95C2414yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2414yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2412yes—
1307#95C2414yes—
1308#95C2412yes—
1309#95C2412yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2412yes—
1314#95C2414yes—
1315#95C2412yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2412yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331C24—24no—
1332C24—24no—
1333C24—24no—
1334C24—42no—
1335C24—42no—
1336C24—42no—
1337C24—42no—
1338C24C2514yes—
1339C24C2511yescharacteristic
1340C24C2512yes—
1341C24C2511yescharacteristic
1342C24C2511yescharacteristic
1343C24C2512yes—
1344#41—416no—
1345#41—416no—
1346#41—416no—
1347#41—816no—
1348#41—816no—
1349C2×Q8—22no—
1350C2×Q8—22no—
1351C2×Q8—22no—
1352C2×Q8—24no—
1353C2×Q8—22no—
1354C2×Q8—24no—
1355C2×Q8—24no—
1356C2×Q8—28no—
1357C2×Q8—22no—
1358C2×Q8—24no—
1359C2×Q8—22no—
1360C2×Q8—22no—
1361C2×Q8—22no—
1362C2×Q8—22no—
1363C2×Q8—22no—
1364C2×Q8—22no—
1365C2×Q8—24no—
1366C2×Q8—22no—
1367C2×Q8—22no—
1368C2×Q8—41no—
1369C2×Q8—44no—
1370C2×Q8—42no—
1371C2×Q8—42no—
1372C2×Q8—44no—
1373C2×Q8—42no—
1374C2×Q8—42no—
1375C2×Q8—816no—
1376C2×Q8C22×D414yes—
1377C2×D4—22no—
1378C2×D4—24no—
1379C2×D4—22no—
1380C2×D4—24no—
1381C2×D4—22no—
1382C2×D4—22no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—24no—
1387C2×D4—28no—
1388C2×D4—28no—
1389C2×D4—28no—
1390C2×D4—28no—
1391C2×D4—28no—
1392C2×D4—28no—
1393C2×D4—22no—
1394C2×D4—24no—
1395C2×D4—22no—
1396C2×D4—24no—
1397C2×D4—24no—
1398C2×D4—24no—
1399C2×D4—24no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—24no—
1403C2×D4—22no—
1404C2×D4—22no—
1405C2×D4—24no—
1406C2×D4—24no—
1407C2×D4—42no—
1408C2×D4—42no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—41no—
1412C2×D4—41no—
1413C2×D4—42no—
1414C2×D4—41no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—42no—
1424C2×D4—42no—
1425C2×D4—42no—
1426C2×D4—44no—
1427C2×D4—42no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—416no—
1435C2×D4C22×D414yes—
1436C2×D4C22×D418yes—
1437C2×D42−1+414yes—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—24no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—24no—
1445C22×C4—22no—
1446C22×C4—24no—
1447C22×C4—24no—
1448C22×C4—24no—
1449C22×C4—24no—
1450C22×C4—28no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—22no—
1455C22×C4—22no—
1456C22×C4—22no—
1457C22×C4—24no—
1458C22×C4—24no—
1459C22×C4—24no—
1460C22×C4—24no—
1461C22×C4—22no—
1462C22×C4—24no—
1463C22×C4—22no—
1464C22×C4—22no—
1465C22×C4—22no—
1466C22×C4—22no—
1467C22×C4—24no—
1468C22×C4—22no—
1469C22×C4—22no—
1470C22×C4—24no—
1471C22×C4—24no—
1472C22×C4—22no—
1473C22×C4—28no—
1474C22×C4—28no—
1475C22×C4—28no—
1476C22×C4—41no—
1477C22×C4—42no—
1478C22×C4—42no—
1479C22×C4—42no—
1480C22×C4—41no—
1481C22×C4—42no—
1482C22×C4—42no—
1483C22×C4—432no—
1484C22×C4—44no—
1485C22×C4—44no—
1486C22×C4—44no—
1487C22×C4—44no—
1488C22×C4—42no—
1489C22×C4—44no—
1490C22×C4—44no—
1491C22×C4—44no—
1492C22×C4—41no—
1493C22×C4—41no—
1494C22×C4—42no—
1495C22×C4—41no—
1496C22×C4—41no—
1497C22×C4—44no—
1498C22×C4—42no—
1499C22×C4—42no—
1500C22×C4—44no—
1501C22×C4—44no—
1502C22×C4—44no—
1503C22×C4—44no—
1504C22×C4—44no—
1505C22×C4—44no—
1506C22×C4C22×D414yes—
1507C22×C4C22×D414yes—
1508C22×C4C22×D418yes—
1509C22×C4C22×D414yes—
1510C22×C4H(5,𝔽2)14yes—
1511C22×C4C2512yes—
1512C22×C4C2512yes—
1513C22×C4C2511yescharacteristic
1514C22×C4C2512yes—
1515C22×C4C2512yes—
1516C22×C4C2511yescharacteristic
1517C22×C4C2514yes—
1518C22×C4C2511yescharacteristic
1519C22×C4C2512yes—
1520C22×C4C2511yescharacteristic
1521C22×C4C2514yes—
1522C22×C4C2512yes—
1523C22×C4C2512yes—
1524C22×C4C2512yes—
1525C22×C4C2512yes—
1526C22×C4C2514yes—
1527C22×C4C2512yes—
1528C22×C4C2512yes—
1529C22×C4C2511yescharacteristic
1530C22×C4C2512yes—
1531C22×C4C2511yescharacteristic
1532C22×C4C2511yescharacteristic
1533C22×C4C2512yes—
1534C22×C4C2511yescharacteristic
1535C22×C4C2512yes—
1536C22×C4C2511yescharacteristic
1537C22×C4C2511yescharacteristic
1538C22×C4C2511yescharacteristic
1539C22×C4C2511yescharacteristic
1540C4⋊C4—22no—
1541C4⋊C4—22no—
1542C4⋊C4—24no—
1543C4⋊C4—22no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—28no—
1550C4⋊C4—28no—
1551C4⋊C4—22no—
1552C4⋊C4—22no—
1553C4⋊C4—22no—
1554C4⋊C4—24no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—22no—
1558C4⋊C4—22no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—24no—
1563C4⋊C4—22no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—22no—
1567C4⋊C4—24no—
1568C4⋊C4—28no—
1569C4⋊C4—24no—
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—28no—
1574C4⋊C4—24no—
1575C4⋊C4—24no—
1576C4⋊C4—22no—
1577C4⋊C4—24no—
1578C4⋊C4—24no—
1579C4⋊C4—28no—
1580C4⋊C4—22no—
1581C4⋊C4—24no—
1582C4⋊C4—24no—
1583C4⋊C4—24no—
1584C4⋊C4—22no—
1585C4⋊C4—22no—
1586C4⋊C4—44no—
1587C4⋊C4—44no—
1588C4⋊C4—44no—
1589C4⋊C4—44no—
1590C4⋊C4—44no—
1591C4⋊C4—42no—
1592C4⋊C4—42no—
1593C4⋊C4—44no—
1594C4⋊C4—42no—
1595C4⋊C4—42no—
1596C4⋊C4—44no—
1597C4⋊C4—42no—
1598C4⋊C4—44no—
1599C4⋊C4—44no—
1600C4⋊C4—44no—
1601C4⋊C4—44no—
1602C4⋊C4—44no—
1603C4⋊C4—42no—
1604C4⋊C4—42no—
1605C4⋊C4—42no—
1606C4⋊C4—44no—
1607C4⋊C4C22×D418yes—
1608C4⋊C4C22×D418yes—
1609C4⋊C4C22×D418yes—
1610C4⋊C4C22×D414yes—
1611C4⋊C4C22×D414yes—
1612C4⋊C4C22×D418yes—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—24no—
1616C22⋊C4—22no—
1617C22⋊C4—24no—
1618C22⋊C4—22no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—28no—
1623C22⋊C4—24no—
1624C22⋊C4—28no—
1625C22⋊C4—24no—
1626C22⋊C4—22no—
1627C22⋊C4—22no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—22no—
1635C22⋊C4—24no—
1636C22⋊C4—22no—
1637C22⋊C4—28no—
1638C22⋊C4—28no—
1639C22⋊C4—28no—
1640C22⋊C4—24no—
1641C22⋊C4—28no—
1642C22⋊C4—28no—
1643C22⋊C4—28no—
1644C22⋊C4—28no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—42no—
1648C22⋊C4—42no—
1649C22⋊C4—44no—
1650C22⋊C4—42no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—44no—
1655C22⋊C4—42no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—42no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—44no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—42no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4—42no—
1670C22⋊C4—44no—
1671C22⋊C4—42no—
1672C22⋊C4—44no—
1673C22⋊C4—44no—
1674C22⋊C4C22×D418yes—
1675C22⋊C4C22×D418yes—
1676C22⋊C4C22×D418yes—
1677C22⋊C4C22×D418yes—
1678C22⋊C4C22×D418yes—
1679C42—22no—
1680C42—24no—
1681C42—24no—
1682C42—22no—
1683C42—24no—
1684C42—24no—
1685C42—24no—
1686C42—22no—
1687C42—22no—
1688C42—22no—
1689C42—22no—
1690C42—24no—
1691C42—24no—
1692C42—28no—
1693C42—24no—
1694C42—24no—
1695C42—44no—
1696C42—44no—
1697C42—44no—
1698C42C22×D414yes—
1699C42C22×D414yes—
1700C42C22×D418yes—
1701C42C22×D414yes—
1702C42C22×D414yes—
1703C23—21no—
1704C23—22no—
1705C23—22no—
1706C23—22no—
1707C23—21no—
1708C23—21no—
1709C23—21no—
1710C23—22no—
1711C23—22no—
1712C23—22no—
1713C23—21no—
1714C23—22no—
1715C23—21no—
1716C23—21no—
1717C23—21no—
1718C23—22no—
1719C23—22no—
1720C23—21no—
1721C23—22no—
1722C23—21no—
1723C23—21no—
1724C23—21no—
1725C23—22no—
1726C23—22no—
1727C23—21no—
1728C23—24no—
1729C23—24no—
1730C23—21no—
1731C23—21no—
1732C23—24no—
1733C23—21no—
1734C23—24no—
1735C23—24no—
1736C23—21no—
1737C23—24no—
1738C23—21no—
1739C23—21no—
1740C23—24no—
1741C23—48no—
1742C23—48no—
1743C23—48no—
1744C23—84no—
1745C23—84no—
1746C23—84no—
1747C23—84no—
1748C23C23×D412yes—
1749C23C23×D414yes—
1750C23C2×H(5,𝔽2)12yes—
1751C23C2×2−1+414yes—
1752C23C2611yescharacteristic
1753Q8—28no—
1754Q8—44no—
1755Q8—44no—
1756Q8—48no—
1757Q8—44no—
1758Q8—44no—
1759Q8—84no—
1760Q8—84no—
1761Q8—88no—
1762D4—28no—
1763D4—28no—
1764D4—48no—
1765D4—44no—
1766D4—44no—
1767D4—48no—
1768D4—48no—
1769D4—44no—
1770D4—48no—
1771D4—48no—
1772D4—48no—
1773D4—84no—
1774D4—84no—
1775D4—88no—
1776D4—88no—
1777D4—88no—
1778D4—88no—
1779D4—88no—
1780D4—88no—
1781D4—164no—
1782C2×C4—21no—
1783C2×C4—22no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—21no—
1794C2×C4—21no—
1795C2×C4—21no—
1796C2×C4—22no—
1797C2×C4—21no—
1798C2×C4—28no—
1799C2×C4—216no—
1800C2×C4—28no—
1801C2×C4—28no—
1802C2×C4—22no—
1803C2×C4—21no—
1804C2×C4—21no—
1805C2×C4—22no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—21no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—24no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—24no—
1817C2×C4—22no—
1818C2×C4—24no—
1819C2×C4—22no—
1820C2×C4—24no—
1821C2×C4—22no—
1822C2×C4—21no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—22no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—24no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—24no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—24no—
1841C2×C4—22no—
1842C2×C4—21no—
1843C2×C4—22no—
1844C2×C4—24no—
1845C2×C4—22no—
1846C2×C4—21no—
1847C2×C4—21no—
1848C2×C4—22no—
1849C2×C4—24no—
1850C2×C4—22no—
1851C2×C4—22no—
1852C2×C4—22no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—22no—
1856C2×C4—21no—
1857C2×C4—21no—
1858C2×C4—22no—
1859C2×C4—44no—
1860C2×C4—48no—
1861C2×C4—48no—
1862C2×C4—48no—
1863C2×C4—48no—
1864C2×C4—48no—
1865C2×C4—48no—
1866C2×C4—44no—
1867C2×C4—44no—
1868C2×C4—44no—
1869C2×C4—82no—
1870C2×C4—82no—
1871C2×C4—84no—
1872C2×C4—84no—
1873C2×C4—88no—
1874C2×C4—88no—
1875C2×C4—88no—
1876C2×C4—88no—
1877C2×C4—88no—
1878C2×C4—164no—
1879C2×C4C23×D414yes—
1880C2×C4C23×D412yes—
1881C2×C4C23×D412yes—
1882C2×C4C23×D412yes—
1883C2×C4C23×D414yes—
1884C2×C4C23×D412yes—
1885C2×C4C23×D414yes—
1886C2×C4C23×D412yes—
1887C2×C4C23×D412yes—
1888C2×C4C2×H(5,𝔽2)12yes—
1889C2×C4C2×H(5,𝔽2)12yes—
1890C2×C4C2×2−1+412yes—
1891C2×C4#58512yes—
1892C2×C4#58512yes—
1893C22—22no—
1894C22—24no—
1895C22—22no—
1896C22—22no—
1897C22—24no—
1898C22—24no—
1899C22—22no—
1900C22—24no—
1901C22—24no—
1902C22—22no—
1903C22—24no—
1904C22—22no—
1905C22—42no—
1906C22—41no—
1907C22—42no—
1908C22—41no—
1909C22—41no—
1910C22—42no—
1911C22—41no—
1912C22—42no—
1913C22—41no—
1914C22—42no—
1915C22—41no—
1916C22—42no—
1917C22—41no—
1918C22—42no—
1919C22—42no—
1920C22—41no—
1921C22—41no—
1922C22—44no—
1923C22—41no—
1924C22—44no—
1925C22—44no—
1926C22—41no—
1927C22—44no—
1928C22—41no—
1929C22—44no—
1930C22—41no—
1931C22—44no—
1932C22—41no—
1933C22—41no—
1934C22—44no—
1935C22—816no—
1936C22C24×D411yescharacteristic
1937C22C22×H(5,𝔽2)11yescharacteristic
1938C22C22×2−1+411yescharacteristic
1939C22C2×#58511yescharacteristic
1940C22C2×#58511yescharacteristic
1941C22H(7,𝔽2)11yescharacteristic
1942C222−1+611yescharacteristic
1943C4—22no—
1944C4—24no—
1945C4—22no—
1946C4—22no—
1947C4—24no—
1948C4—22no—
1949C4—22no—
1950C4—24no—
1951C4—42no—
1952C4—41no—
1953C4—42no—
1954C4—44no—
1955C4—42no—
1956C4—41no—
1957C4—41no—
1958C4—42no—
1959C4—41no—
1960C4—42no—
1961C4—42no—
1962C4—41no—
1963C4—42no—
1964C4—42no—
1965C4—42no—
1966C4—42no—
1967C4—44no—
1968C4—44no—
1969C4—42no—
1970C4#348814yes—
1971C4#348914yes—
1972C2—42no—
1973C2—44no—
1974C2—44no—
1975C2—42no—
1976C2—81no—
1977C2—84no—
1978C2C2×#348811yescharacteristic
1979C2C2×#348911yescharacteristic
1980C2#6285311yescharacteristic
1981C2#6294211yescharacteristic
1982C2#6295111yescharacteristic
1983C2#6295511yescharacteristic
1984C2#6296711yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#3554C2semidirect
2. C2×#3475C2semidirect
3. #51061C2semidirect
4. #50886C2semidirect
5. #50860C2semidirect
6. #50859C2semidirect
7. #45071C2semidirect
8. #45057C2semidirect
9. #45016C2semidirect
10. #45002C2semidirect
11. #44987C2semidirect
12. #44964C2semidirect
13. #44948C2semidirect
14. #44888C2semidirect
15. #39726C2semidirect
16. #39724C2semidirect
17. #38911C2semidirect
18. #38909C2semidirect
19. #38908C2semidirect
20. #38903C2semidirect
21. #37656C2semidirect
22. #37649C2semidirect
23. #37379C2semidirect
24. #37277C2semidirect
25. #36493C2semidirect
26. #36445C2semidirect
27. #36101C2semidirect
28. D4×C22⋊Q8C2semidirect
29. #35306C2semidirect
30. #35280C2semidirect
31. #35273C2semidirect
32. #35260C2semidirect
33. #35190C2semidirect
34. #34627C2semidirect
35. #34384C2semidirect
37. C2×#562C22semidirect
39. C2×#559C22semidirect
40. C2×#557C22semidirect
45. C2×#554C22semidirect
54. C2×#548C22semidirect
56. C2×#547C22semidirect
59. C2×#542C22semidirect
60. C2×#542C22semidirect
62. C2×#539C22semidirect
64. C2×#536C22semidirect
66. C2×#533C22semidirect
67. C2×#532C22semidirect
81. #2857C22semidirect
82. #2857C22semidirect
83. #2857C22semidirect
84. #2857C22semidirect
86. #2856C22semidirect
87. #2850C22semidirect
88. #2850C22semidirect
89. #2850C22semidirect
92. #2725C22semidirect
93. #2723C22semidirect
94. #2720C22semidirect
95. #2719C22semidirect
96. #2718C22semidirect
97. #2715C22semidirect
98. #2710C22semidirect
99. #2707C22semidirect
101. #2705C22semidirect
103. #2702C22semidirect
104. #2696C22semidirect
105. #2695C22semidirect
106. #2695C22semidirect
109. #2693C22semidirect
110. #2692C22semidirect
111. #2692C22semidirect
112. #2691C22semidirect
114. #2690C22semidirect
115. #2689C22semidirect
117. #2687C22semidirect
118. #2686C22semidirect
119. #2683C22semidirect
120. #2683C22semidirect
123. #2680C22semidirect
126. #2676C22semidirect
128. #2672C22semidirect
129. #2671C22semidirect
130. #2671C22semidirect
133. #2638C22semidirect
134. #2635C22semidirect
135. #2634C22semidirect
137. #2629C22semidirect
139. #2628C22semidirect
140. #2625C22semidirect
141. #2625C22semidirect
142. #2625C22semidirect
143. #2624C22semidirect
146. #2621C22semidirect
149. #2620C22semidirect
152. #2598C22semidirect
153. #2592C22semidirect
154. #2582C22semidirect
155. #2582C22semidirect
156. #2582C22semidirect
157. #2581C22semidirect
158. #2568C22semidirect
159. #2568C22semidirect
160. #2557C22semidirect
161. #2550C22semidirect
162. #2550C22semidirect
163. #2548C22semidirect
164. #2545C22semidirect
167. #2542C22semidirect
169. #2540C22semidirect
173. #2538C22semidirect
174. #2538C22semidirect
175. #2538C22semidirect
176. #2538C22semidirect
180. #2535C22semidirect
181. #2521C22semidirect
182. #2500C22semidirect
183. #2492C22semidirect
185. #2481C22semidirect
188. #2474C22semidirect
190. #2471C22semidirect
191. #2470C22semidirect
192. #2468C22semidirect
193. #2464C22semidirect
196. #2456C22semidirect
198. #2454C22semidirect
199. #2454C22semidirect
201. #2452C22semidirect
203. #2449C22semidirect
204. #2449C22semidirect
205. #2449C22semidirect
206. #2448C22semidirect
208. #2446C22semidirect
211. #2442C22semidirect
212. #2441C22semidirect
213. #2441C22semidirect
221. #2427C22semidirect
222. #2427C22semidirect
232. #2417C22semidirect
233. #2417C22semidirect
234. #2417C22semidirect
235. #2417C22semidirect
236. #2417C22semidirect
237. #2417C22semidirect
240. #2416C22semidirect
241. #2416C22semidirect
242. #2416C22semidirect
243. #2416C22semidirect
246. #2415C22semidirect
248. #2413C22semidirect
249. #2413C22semidirect
253. #2409C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
258. #2399C22semidirect
261. #2395C22semidirect
262. #2383C22semidirect
265. #2363C22semidirect
268. #2360C22semidirect
269. #2355C22semidirect
271. #2352C22semidirect
272. Q8×C4⋊C4C22semidirect
273. Q8×C4⋊C4C22semidirect
276. D4×C4⋊C4C22semidirect
279. #2330C22semidirect
282. #2326C22semidirect
285. #2322C22semidirect
286. #2317C22semidirect
287. #2316C22semidirect
288. #2314C22semidirect
290. #2311C22semidirect
291. #2311C22semidirect
292. #2310C22semidirect
295. C4×C22⋊Q8C22semidirect
296. C4×C22⋊Q8C22semidirect
297. C4×C22⋊Q8C22semidirect
298. C4×#121C22semidirect
299. C2×#384C22semidirect
300. #2283C22semidirect
352. #529D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35542
C2×#34752
#510612
#508862
#508602
#508592
#450712
#450572
#450162
#450022
#449872
#449642
#449482
#448882
#397262
#397242
#389112
#389092
#389082
#389032
#376562
#376492
#373792
#372772
#364932
#364452
#361012
D4×C22⋊Q82
#353062
#352802
#352732
#352602
#351902
#346272
#343842