Finite Group Databasebeta

← #7644182

Subgroups — #7644182

Order 512.

6790 conjugacy classes of subgroups.

The subgroup lattice has 1896 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3520C211yesmaximal, characteristic, complemented
2C2×#3460C211yesmaximal, characteristic, complemented
3#42652C211yesmaximal, characteristic, complemented
4#42649C211yesmaximal, characteristic, complemented
5#42648C211yesmaximal, characteristic, complemented
6#42645C211yesmaximal, characteristic, complemented
7#42436C212yesmaximal, complemented
8#42435C212yesmaximal, complemented
9#42434C212yesmaximal, complemented
10#42432C212yesmaximal, complemented
11#42431C211yesmaximal, characteristic, complemented
12#42428C211yesmaximal, characteristic, complemented
13#42427C211yesmaximal, characteristic, complemented
14#42424C211yesmaximal, characteristic, complemented
15#42311C212yesmaximal, complemented
16#42310C212yesmaximal, complemented
17#42152C212yesmaximal, complemented
18#42151C212yesmaximal, complemented
19#41378C214yesmaximal, complemented
20#41376C214yesmaximal, complemented
21#37454C212yesmaximal, complemented
22#37449C212yesmaximal, complemented
23#37447C212yesmaximal, complemented
24#37445C212yesmaximal, complemented
25#37234C214yesmaximal, complemented
26#37121C214yesmaximal, complemented
27#35654C212yesmaximal, complemented
28#35636C212yesmaximal, complemented
29#35607C212yesmaximal, complemented
30#35600C212yesmaximal, complemented
31#35210C211yesmaximal, characteristic, complemented
32#35200C211yesmaximal, characteristic, complemented
33#34636C211yesmaximal, characteristic, complemented
34#34627C211yesmaximal, characteristic, complemented
35#34190C211yesmaximal, characteristic, complemented
36#3520—216no—
37C2×#556C2211yescharacteristic
38C2×#554C2212yes—
39C2×#552C2212yes—
40C2×#551C2214yes—
41C2×D4×Q8C2211yescharacteristic
42C2×#548C2212yes—
43C2×#547C2211yescharacteristic
44C2×#547C2211yescharacteristic
45C2×#546C2212yes—
46#3460—216no—
47C2×#544C2211yescharacteristic
48C2×#542C2212yes—
49C2×#542C2212yes—
50C2×#542C2211yescharacteristic
51C2×#542C2211yescharacteristic
52C2×#540C2211yescharacteristic
53C2×#540C2211yescharacteristic
54C2×#540C2212yes—
55C2×#539C2214yes—
56C2×#538C2212yes—
57C2×#538C2212yes—
58C2×#537C2211yescharacteristic
59C2×#535C2211yescharacteristic
60C2×#535C2211yescharacteristic
61C2×#533C2211yescharacteristic
62C2×#532C2211yescharacteristic
63C2×#532C2211yescharacteristic
64C2×#532C2212yes—
65C2×#529C2212yes—
66C2×#529C2211yescharacteristic
67C2×#529C2211yescharacteristic
68C2×#529C2211yescharacteristic
69C2×#525C2212yes—
70C2×#525C2212yes—
71C2×#525C2212yes—
72C22×C22⋊Q8C2212yes—
73C2×#520C2212yes—
74C2×C4×#41C2211yescharacteristic
75C2×C4×#41C2211yescharacteristic
76C22×C4×D4C2211yescharacteristic
77#2852C2214yescomplemented
78#2851C2214yescomplemented
79#2817C2214yes—
80#2817C2212yescomplemented
81#2816C2214yes—
82#2816C2212yescomplemented
83#2816C2212yescomplemented
84#2815C2212yescomplemented
85#2814C2212yescomplemented
86#2814C2212yescomplemented
87#2814C2212yescomplemented
88#2814C2212yescomplemented
89#2812C2214yes—
90#2812C2214yes—
91#2722C2214yescomplemented
92#2720C2214yescomplemented
93#2719C2214yescomplemented
94#2718C2214yescomplemented
95#2717C2214yes—
96#2715C2214yescomplemented
97#2713C2214yescomplemented
98#2711C2214yescomplemented
99#2710C2214yescomplemented
100#2709C2214yes—
101#2708C2214yes—
102#2708C2214yes—
103#2706C2214yescomplemented
104#2703C2214yescomplemented
105#2695C2214yescomplemented
106#2695C2214yescomplemented
107#2693C2214yescomplemented
108#2692C2214yescomplemented
109#2691C2214yescomplemented
110#2690C2214yescomplemented
111#2689C2214yescomplemented
112#2688C2214yes—
113#2687C2214yescomplemented
114#2686C2214yes—
115#2677C2214yescomplemented
116#2676C2214yescomplemented
117#2674C2214yescomplemented
118#2673C2214yes—
119#2672C2214yescomplemented
120#2672C2214yescomplemented
121#2671C2214yes—
122#2671C2214yescomplemented
123#2663C2212yescomplemented
124#2663C2212yescomplemented
125#2661C2212yescomplemented
126#2661C2212yescomplemented
127#2659C2212yescomplemented
128#2659C2212yescomplemented
129#2639C2212yescomplemented
130#2639C2212yescomplemented
131#2638C2212yes—
132#2638C2212yes—
133#2638C2212yes—
134#2638C2211yescharacteristic
135#2638C2212yes—
136#2638C2212yes—
137#2638C2211yescharacteristic
138#2638C2214yes—
139#2637C2212yescomplemented
140#2636C2212yescomplemented
141#2635C2211yescharacteristic
142#2635C2212yes—
143#2635C2211yescharacteristic
144#2635C2214yes—
145#2634C2212yescomplemented
146#2634C2211yescharacteristic, complemented
147#2633C2212yescomplemented
148#2633C2211yescharacteristic, complemented
149#2632C2211yescharacteristic, complemented
150#2631C2211yescharacteristic, complemented
151#2630C2212yes—
152#2630C2212yes—
153#2628C2211yescharacteristic, complemented
154#2628C2211yescharacteristic, complemented
155#2625C2212yes—
156#2625C2212yescomplemented
157#2624C2212yescomplemented
158#2623C2212yescomplemented
159#2623C2212yescomplemented
160#2622C2214yes—
161#2622C2214yes—
162#2621C2214yes—
163#2621C2211yescharacteristic, complemented
164#2621C2211yescharacteristic, complemented
165#2620C2214yes—
166#2617C2214yes—
167#2617C2214yes—
168#2616C2212yes—
169#2616C2212yescomplemented
170#2615C2212yescomplemented
171#2614C2212yescomplemented
172#2614C2212yescomplemented
173#2611C2212yescomplemented
174#2610C2212yescomplemented
175#2602C2214yes—
176#2602C2214yescomplemented
177#2602C2214yescomplemented
178#2600C2214yescomplemented
179#2600C2214yescomplemented
180#2599C2212yescomplemented
181#2599C2212yescomplemented
182#2581C2211yescharacteristic, complemented
183#2580C2211yescharacteristic, complemented
184#2579C2214yescomplemented
185#2579C2214yescomplemented
186#2567C2211yescharacteristic, complemented
187#2564C2214yescomplemented
188#2564C2214yescomplemented
189#2563C2211yescharacteristic, complemented
190#2559C2214yescomplemented
191#2557C2214yescomplemented
192#2555C2214yescomplemented
193#2553C2214yescomplemented
194#2551C2212yescomplemented
195#2550C2212yescomplemented
196#2547C2212yes—
197#2547C2211yescharacteristic, complemented
198#2546C2211yescharacteristic, complemented
199#2544C2212yes—
200#2542C2212yescomplemented
201#2540C2212yescomplemented
202#2537C2212yes—
203#2536C2211yescharacteristic, complemented
204#2535C2212yes—
205#2535C2211yescharacteristic, complemented
206#2521C2214yescomplemented
207#2521C2214yescomplemented
208#2504C2212yescomplemented
209#2502C2212yescomplemented
210#2499C2212yes—
211#2499C2214yescomplemented
212#2498C2214yescomplemented
213#2498C2212yescomplemented
214#2498C2212yescomplemented
215#2496C2214yescomplemented
216#2492C2212yescomplemented
217#2492C2212yescomplemented
218#2491C2214yescomplemented
219#2491C2212yescomplemented
220#2489C2212yescomplemented
221#2485C2214yes—
222#2485C2212yes—
223#2485C2214yescomplemented
224#2484C2214yescomplemented
225#2478C2214yescomplemented
226#2476C2214yescomplemented
227#2474C2214yescomplemented
228#2470C2214yescomplemented
229#2468C2214yescomplemented
230#2464C2214yescomplemented
231#2461C2214yescomplemented
232#2457C2214yescomplemented
233#2453C2212yescomplemented
234#2451C2212yescomplemented
235#2447C2212yes—
236#2445C2212yes—
237#2442C2212yescomplemented
238#2440C2212yescomplemented
239#2436C2212yescomplemented
240#2434C2212yescomplemented
241#2432C2212yes—
242#2432C2212yes—
243#2432C2214yescomplemented
244#2431C2212yes—
245#2430C2214yescomplemented
246#2430C2212yescomplemented
247#2430C2212yescomplemented
248#2429C2212yescomplemented
249#2428C2212yes—
250#2427C2212yes—
251#2427C2212yes—
252#2427C2212yes—
253#2426C2212yescomplemented
254#2422C2212yes—
255#2420C2212yes—
256#2417C2212yescomplemented
257#2416C2212yescomplemented
258#2415C2214yes—
259#2414C2214yes—
260#2412C2214yes—
261#2412C2214yes—
262#2407C2212yes—
263#2407C2212yes—
264#2407C2212yes—
265#2407C2214yescomplemented
266#2406C2214yescomplemented
267#2399C2212yescomplemented
268#2398C2212yescomplemented
269#2396C2211yescharacteristic, complemented
270#2396C2211yescharacteristic, complemented
271#2395C2212yes—
272#2395C2212yes—
273#2395C2212yes—
274#2392C2211yescharacteristic, complemented
275#2392C2211yescharacteristic, complemented
276#2388C2212yes—
277#2357C2211yescharacteristic
278#2357C2211yescharacteristic
279#2353C2212yes—
280#2353C2212yes—
281#2349C2211yescharacteristic
282#2349C2211yescharacteristic
283#2344C2212yes—
284#2342C2214yes—
285D4×C22⋊C4C2212yes—
286#2327C2212yescomplemented
287#2326C2212yescomplemented
288#2324C2212yescomplemented
289#2323C2212yescomplemented
290#2319C2212yes—
291#2318C2214yes—
292C4×C22⋊Q8C2212yescomplemented
293C4×C22⋊Q8C2212yescomplemented
294#2290C2212yescomplemented
295#2290C2212yescomplemented
296#2283C2211yescharacteristic
297#2283C2211yescharacteristic
298#2280C2212yes—
299C2×#381C2212yes—
300#2275C2212yes—
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C23×Q8C2312yes—
308C23×D4C2311yescharacteristic
309C24×C4C2312yes—
310#556—28no—
311#554—216no—
312#552—216no—
313#551—232no—
314D4×Q8—28no—
315#548—216no—
316#547—28no—
317#547—28no—
318#546—216no—
319#544—28no—
320#542—28no—
321#542—28no—
322#542—216no—
323#542—216no—
324#540—28no—
325#540—28no—
326#540—216no—
327#539—232no—
328#538—216no—
329#538—216no—
330#537—28no—
331#535—28no—
332#535—28no—
333#533—28no—
334#532—28no—
335#532—216no—
336#532—28no—
337C2×C4⋊Q8C2311yescharacteristic
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2312yes—
340C2×C4⋊Q8C2311yescharacteristic
341C2×C4⋊Q8C2311yescharacteristic
342C2×C4⋊Q8C2312yes—
343C2×C4⋊Q8C2312yes—
344C2×C4⋊Q8C2314yes—
345C2×#127C2312yes—
346C2×#127C2311yescharacteristic
347C2×#127C2311yescharacteristic
348#529—28no—
349#529—216no—
350#529—28no—
351#529—28no—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2312yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2314yes—
358C2×#126C2314yes—
359C2×#125C2312yes—
360C2×#125C2311yescharacteristic
361C2×#125C2312yes—
362C2×#125C2311yescharacteristic
363C2×#125C2311yescharacteristic
364C2×#125C2314yes—
365C2×#124C2311yescharacteristic
366C2×#124C2311yescharacteristic
367C2×#124C2312yes—
368C2×#124C2311yescharacteristic
369C2×#124C2312yes—
370C2×#124C2312yes—
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2312yes—
374C2×#124C2314yes—
375C2×#124C2312yes—
376C2×#124C2314yes—
377#525—216no—
378#525—216no—
379#525—216no—
380C2×#123C2312yes—
381C2×#123C2314yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2314yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2312yes—
390C2×#123C2312yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2314yes—
394C2×#123C2314yes—
395C2×C22⋊Q8—216no—
396C2×C22⋊Q8C2314yes—
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2312yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2314yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2312yes—
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2311yescharacteristic
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2311yescharacteristic
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2314yes—
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2312yes—
417C2×C22⋊Q8C2314yes—
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2312yes—
422C2×#121C2312yes—
423C2×#121C2311yescharacteristic
424C2×#121C2311yescharacteristic
425C2×#121C2311yescharacteristic
426C2×#121C2312yes—
427C2×#121C2314yes—
428C2×#121C2312yes—
429C2×#121C2311yescharacteristic
430C2×#121C2312yes—
431C2×#121C2311yescharacteristic
432C2×#121C2312yes—
433C2×#121C2312yes—
434C2×#121C2311yescharacteristic
435C2×#121C2311yescharacteristic
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2314yes—
441C2×#121C2314yes—
442C2×#121C2314yes—
443C2×#120C2312yes—
444C2×#120C2312yes—
445C2×#120C2314yes—
446C2×#120C2312yes—
447C2×#120C2312yes—
448#520—216no—
449C4×#41—28no—
450C4×#41—28no—
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2311yescharacteristic
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2312yes—
459C2×C4×D4D4116yescomplemented
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2312yes—
462C2×C4×D4C2312yes—
463C2×C4×D4C2312yes—
464C2×C4×D4C2312yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2314yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2311yescharacteristic
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2311yescharacteristic
471C2×C4×D4C2311yescharacteristic
472C2×C4×D4C2311yescharacteristic
473C2×C4×D4C2312yes—
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2314yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2314yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2312yes—
488C2×C4×D4C2311yescharacteristic
489C2×C4×D4C2311yescharacteristic
490C2×#117C2312yes—
491C2×#117C2312yes—
492C2×#117C2311yescharacteristic
493C2×#117C2311yescharacteristic
494C2×#117C2312yes—
495C2×#117C2311yescharacteristic
496C2×#117C2312yes—
497C2×#117C2311yescharacteristic
498C2×#117C2314yes—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2314yes—
502C22×C4⋊C4C2314yes—
503C22×C4⋊C4C2312yes—
504C22×C4⋊C4C2312yes—
505C22×C4⋊C4C2311yescharacteristic
506C22×C22⋊C4C2314yes—
507C22×C22⋊C4C2314yes—
508C22×C22⋊C4C2312yes—
509C22×C42C2312yes—
510C22×C42C2311yescharacteristic
511C22×C42C2311yescharacteristic
512C22×C42C2311yescharacteristic
513#400C2314yes—
514#400C2314yes—
515#400C2314yes—
516#400C2314yes—
517#400C2311yescharacteristic
518#400C2312yes—
519#400C2314yes—
520#400C2314yes—
521#400C2311yescharacteristic
522#400C2312yes—
523#400C2312yes—
524#400C2312yes—
525#399C2314yes—
526#399C2314yes—
527#399C2311yescharacteristic
528#399C2312yes—
529#399C2314yes—
530#399C2311yescharacteristic
531#399C2312yes—
532#399C2312yes—
533#399C2312yes—
534#398C2314yes—
535#398C2314yes—
536#398C2312yes—
537#398C2312yes—
538#398C2314yes—
539#398C2314yes—
540#398C2314yes—
541#398C2314yes—
542#398C2314yes—
543#398C2312yes—
544#398C2312yes—
545#398C2312yes—
546#398C2312yes—
547#398C2312yes—
548#398C2311yescharacteristic
549#398C2314yes—
550#398C2312yes—
551#398C2312yes—
552#398C2312yes—
553#398C2311yescharacteristic
554#397C2312yes—
555#397C2314yes—
556#397C2314yes—
557#397C2314yes—
558#397C2314yes—
559#397C2314yes—
560#397C2312yes—
561#397C2312yes—
562#397C2314yes—
563#397C2314yes—
564#397C2312yes—
565#397C2314yes—
566#397C2312yes—
567#397C2314yes—
568#397C2312yes—
569#397C2312yes—
570#397C2312yes—
571#397C2312yes—
572#397C2314yes—
573#397C2314yes—
574#397C2314yes—
575#397C2314yes—
576#397C2311yescharacteristic
577#397C2312yes—
578#397C2311yescharacteristic
579#397C2314yes—
580#397C2314yes—
581#397C2314yes—
582#396C2314yes—
583#396C2314yes—
584#396C2314yes—
585#396C2314yes—
586#396C2312yes—
587#396C2312yes—
588#396C2312yes—
589#396C2312yes—
590#395C2314yes—
591#395C2314yes—
592#395C2314yes—
593#395C2314yes—
594#395C2312yes—
595#395C2312yes—
596#395C2314yes—
597#395C2312yes—
598#395C2312yes—
599#395C2311yescharacteristic
600#395C2312yes—
601#395C2314yes—
602#395C2311yescharacteristic
603#395C2312yes—
604#394C2312yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2311yescharacteristic
611#394C2314yes—
612#394C2314yes—
613#394C2314yes—
614#394C2314yes—
615#394C2312yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2314yes—
621#394C2314yes—
622#394C2314yes—
623#394C2314yes—
624#394C2311yescharacteristic
625#394C2312yes—
626#394C2312yes—
627#394C2314yes—
628#394C2314yes—
629#394C2314yes—
630#394C2314yes—
631#394C2314yes—
632#394C2312yes—
633#394C2312yes—
634#394C2312yes—
635#394C2312yes—
636#394C2314yes—
637#394C2314yes—
638#394C2314yes—
639#394C2314yes—
640#393C2314yes—
641#393C2314yes—
642#393C2312yes—
643#393C2312yes—
644#393C2314yes—
645#393C2312yes—
646#393C2312yes—
647#393C2311yescharacteristic
648#393C2312yes—
649#393C2311yescharacteristic
650#393C2312yes—
651#392C2314yes—
652#392C2314yes—
653#392C2314yes—
654#392C2314yes—
655#392C2314yes—
656#392C2312yes—
657#392C2311yescharacteristic
658#392C2312yes—
659#392C2312yes—
660#392C2311yescharacteristic
661#392C2312yes—
662#392C2314yes—
663#392C2314yes—
664#392C2314yes—
665#391C2312yes—
666#391C2312yes—
667#391C2312yes—
668#391C2312yes—
669#391C2314yes—
670#391C2314yes—
671#391C2314yes—
672#391C2312yes—
673#391C2312yes—
674#391C2314yes—
675#390C2312yes—
676#390C2312yes—
677#390C2312yes—
678#390C2312yes—
679#390C2314yes—
680#390C2314yes—
681#390C2314yes—
682#390C2314yes—
683#390C2314yes—
684#389C2314yes—
685#389C2312yes—
686#389C2312yes—
687#389C2312yes—
688#389C2314yes—
689#389C2312yes—
690#389C2314yes—
691#389C2314yes—
692#389C2314yes—
693#389C2314yes—
694#389C2312yes—
695#389C2312yes—
696#389C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2312yes—
709#388C2314yes—
710#388C2314yes—
711#388C2312yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2312yes—
717#388C2312yes—
718#387C2312yes—
719#387C2314yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2312yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2312yes—
736#387C2312yes—
737#386C2314yes—
738#386C2314yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2312yes—
751#386C2314yes—
752#386C2314yes—
753#386C2312yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2312yes—
761#386C2312yes—
762#385C2312yes—
763#385C2314yes—
764#385C2314yes—
765#385C2314yes—
766#385C2314yes—
767#385C2314yes—
768#385C2312yes—
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#385C2314yes—
783#385C2312yes—
784#385C2312yes—
785#384C2312yes—
786#384C2314yes—
787#383C2312yes—
788#383C2311yescharacteristic
789#383C2311yescharacteristic
790#382C2312yes—
791#382C2312yes—
792#382C2311yescharacteristic
793#382C2311yescharacteristic
794#382C2314yes—
795#381C2314yes—
796#381C2312yes—
797#381C2312yes—
798#381C2314yes—
799#381C2314yes—
800#381C2314yes—
801#381C2311yescharacteristic
802#381C2312yes—
803#381C2311yescharacteristic
804#380C2314yes—
805#380C2314yes—
806#380C2314yes—
807#380C2314yes—
808#380C2314yes—
809#380C2314yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2314yes—
814#380C2312yes—
815#380C2312yes—
816#380C2312yes—
817#380C2314yes—
818#380C2312yes—
819#380C2312yes—
820#380C2314yes—
821#380C2314yes—
822#380C2314yes—
823#379C2314yes—
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2312yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C4⋊C4C2312yes—
831C4×C4⋊C4C2314yes—
832C4×C4⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2312yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2314yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2314yes—
846#376C2312yes—
847#376C2312yes—
848C2×#95C2314yes—
849C2×#95C2312yes—
850C2×#95C2312yes—
851C25C2412yes—
852C2×#41—28no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—28no—
856C2×#41—28no—
857C2×#41—28no—
858C2×#41—42no—
859C2×#41—42no—
860C2×#41—42no—
861C2×#41—42no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—84no—
865C2×#41—84no—
866C2×#41—84no—
867C22×Q8—28no—
868C22×Q8—84no—
869C22×Q8C2411yescharacteristic
870C22×Q8C2412yes—
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2412yes—
874C22×Q8C2414yes—
875C22×Q8C2412yes—
876C22×Q8C2412yes—
877C22×D4—42no—
878C22×D4—42no—
879C22×D4C2×D418yes—
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2411yescharacteristic
887C22×D4C2414yes—
888C22×D4C2411yescharacteristic
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2411yescharacteristic
894C22×D4C2414yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2414yes—
904C22×D4C2412yes—
905C23×C4—84no—
906C23×C4C2×D4116yes—
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2414yes—
912C23×C4C2414yes—
913C23×C4C2414yes—
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2412yes—
917C23×C4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2411yescharacteristic
920C23×C4C2412yes—
921C23×C4C2414yes—
922C23×C4C2414yes—
923C23×C4C2411yescharacteristic
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2411yescharacteristic
930C4⋊Q8—24no—
931C4⋊Q8—28no—
932C4⋊Q8—24no—
933C4⋊Q8—28no—
934C4⋊Q8—24no—
935C4⋊Q8—24no—
936C4⋊Q8—44no—
937C4⋊Q8—84no—
938#127—24no—
939#127—24no—
940#127—28no—
941#126—28no—
942#126—28no—
943#126—28no—
944#126—28no—
945#126—216no—
946#126—216no—
947#126—28no—
948#125—24no—
949#125—28no—
950#125—24no—
951#125—216no—
952#125—24no—
953#125—28no—
954#124—24no—
955#124—24no—
956#124—28no—
957#124—28no—
958#124—28no—
959#124—28no—
960#124—28no—
961#124—28no—
962#124—216no—
963#124—24no—
964#124—44no—
965#124—84no—
966#123—216no—
967#123—216no—
968#123—28no—
969#123—28no—
970#123—28no—
971#123—28no—
972#123—28no—
973#123—28no—
974#123—28no—
975#123—28no—
976#123—28no—
977#123—216no—
978#123—216no—
979#123—84no—
980#123—84no—
981C22⋊Q8—24no—
982C22⋊Q8—28no—
983C22⋊Q8—216no—
984C22⋊Q8—28no—
985C22⋊Q8—28no—
986C22⋊Q8—216no—
987C22⋊Q8—28no—
988C22⋊Q8—28no—
989C22⋊Q8—28no—
990C22⋊Q8—28no—
991C22⋊Q8—28no—
992C22⋊Q8—28no—
993C22⋊Q8—24no—
994C22⋊Q8—28no—
995C22⋊Q8—24no—
996C22⋊Q8—216no—
997C22⋊Q8—28no—
998C22⋊Q8—216no—
999C22⋊Q8—44no—
1000C22⋊Q8—44no—
1001C22⋊Q8—44no—
1002C22⋊Q8—84no—
1003#121—24no—
1004#121—24no—
1005#121—28no—
1006#121—24no—
1007#121—24no—
1008#121—28no—
1009#121—216no—
1010#121—28no—
1011#121—24no—
1012#121—28no—
1013#121—28no—
1014#121—28no—
1015#121—28no—
1016#121—28no—
1017#121—24no—
1018#121—28no—
1019#121—24no—
1020#121—28no—
1021#121—28no—
1022#121—28no—
1023#121—28no—
1024#121—44no—
1025#121—84no—
1026#121—84no—
1027#121—84no—
1028#120—28no—
1029#120—28no—
1030#120—28no—
1031#120—28no—
1032#120—216no—
1033C4×Q8—28no—
1034C4×Q8—24no—
1035C4×Q8—24no—
1036C4×Q8—24no—
1037C4×Q8—24no—
1038C4×Q8—28no—
1039C4×Q8—24no—
1040C4×Q8—28no—
1041C4×D4—28no—
1042C4×D4—24no—
1043C4×D4—28no—
1044C4×D4—24no—
1045C4×D4—28no—
1046C4×D4—24no—
1047C4×D4—24no—
1048C4×D4—216no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—28no—
1052C4×D4—28no—
1053C4×D4—216no—
1054C4×D4—28no—
1055C4×D4—216no—
1056C4×D4—24no—
1057C4×D4—24no—
1058C4×D4—24no—
1059C4×D4—24no—
1060C4×D4—24no—
1061C4×D4—44no—
1062C4×D4—44no—
1063C4×D4—44no—
1064C4×D4—44no—
1065C4×D4C2×D418yes—
1066C4×D4C2×D4116yes—
1067C4×D4C2×D418yes—
1068C4×D4C2×D418yes—
1069C4×D4C2×D418yes—
1070C4×D4C2×D4116yes—
1071#117—24no—
1072#117—24no—
1073#117—28no—
1074#117—28no—
1075#117—28no—
1076#117—28no—
1077#117—216no—
1078#117—24no—
1079#117—24no—
1080#117—28no—
1081#117—28no—
1082#117—84no—
1083C2×C4⋊C4—216no—
1084C2×C4⋊C4—28no—
1085C2×C4⋊C4—28no—
1086C2×C4⋊C4C2×D418yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2414yes—
1093C2×C4⋊C4C2414yes—
1094C2×C4⋊C4C2414yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2411yescharacteristic
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2411yescharacteristic
1100C2×C4⋊C4C2411yescharacteristic
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2411yescharacteristic
1103C2×C4⋊C4C2411yescharacteristic
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2411yescharacteristic
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2412yes—
1113C2×C4⋊C4C2412yes—
1114C2×C4⋊C4C2412yes—
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2414yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2414yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2414yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2414yes—
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2414yes—
1131C2×C4⋊C4C2414yes—
1132C2×C4⋊C4C2414yes—
1133C2×C4⋊C4C2414yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2412yes—
1140C2×C4⋊C4C2412yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2411yescharacteristic
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2411yescharacteristic
1147C2×C22⋊C4—216no—
1148C2×C22⋊C4—84no—
1149C2×C22⋊C4C2×D4116yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2411yescharacteristic
1155C2×C22⋊C4C2411yescharacteristic
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2411yescharacteristic
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C22⋊C4C2411yescharacteristic
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2412yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2414yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2414yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C42—24no—
1222C2×C42—24no—
1223C2×C42—28no—
1224C2×C42C2×D418yes—
1225C2×C42C2411yescharacteristic
1226C2×C42C2412yes—
1227C2×C42C2411yescharacteristic
1228C2×C42C2414yes—
1229C2×C42C2414yes—
1230C2×C42C2411yescharacteristic
1231C2×C42C2411yescharacteristic
1232C2×C42C2412yes—
1233C2×C42C2412yes—
1234C2×C42C2412yes—
1235C2×C42C2412yes—
1236C2×C42C2411yescharacteristic
1237C2×C42C2411yescharacteristic
1238C2×C42C2412yes—
1239C2×C42C2414yes—
1240C2×C42C2414yes—
1241C2×C42C2414yes—
1242C2×C42C2411yescharacteristic
1243C2×C42C2411yescharacteristic
1244C2×C42C2411yescharacteristic
1245C2×C42C2411yescharacteristic
1246#95C2412yes—
1247#95C2411yescharacteristic
1248#95C2411yescharacteristic
1249#95C2412yes—
1250#95C2412yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2414yes—
1260#95C2411yescharacteristic
1261#95C2411yescharacteristic
1262#95C2412yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2412yes—
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2412yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2414yes—
1276#95C2414yes—
1277#95C2412yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2412yes—
1284#95C2412yes—
1285#95C2412yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2414yes—
1291#95C2414yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2414yes—
1298#95C2414yes—
1299#95C2414yes—
1300C24—44no—
1301C24—42no—
1302C24—42no—
1303C24—44no—
1304C24C22×D418yes—
1305C24C2512yes—
1306C24C2511yescharacteristic
1307C24C2511yescharacteristic
1308C24C2512yes—
1309C24C2511yescharacteristic
1310C24C2512yes—
1311C24C2512yes—
1312#41—416no—
1313#41—416no—
1314#41—432no—
1315#41—816no—
1316#41—816no—
1317#41—816no—
1318C2×Q8—22no—
1319C2×Q8—22no—
1320C2×Q8—24no—
1321C2×Q8—22no—
1322C2×Q8—24no—
1323C2×Q8—28no—
1324C2×Q8—24no—
1325C2×Q8—24no—
1326C2×Q8—22no—
1327C2×Q8—24no—
1328C2×Q8—24no—
1329C2×Q8—22no—
1330C2×Q8—42no—
1331C2×Q8—44no—
1332C2×Q8—41no—
1333C2×Q8—41no—
1334C2×Q8—44no—
1335C2×Q8—44no—
1336C2×Q8—44no—
1337C2×Q8—44no—
1338C2×Q8—816no—
1339C2×D4—24no—
1340C2×D4—24no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—28no—
1344C2×D4—24no—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—28no—
1349C2×D4—24no—
1350C2×D4—24no—
1351C2×D4—24no—
1352C2×D4—24no—
1353C2×D4—22no—
1354C2×D4—22no—
1355C2×D4—22no—
1356C2×D4—24no—
1357C2×D4—24no—
1358C2×D4—22no—
1359C2×D4—22no—
1360C2×D4—22no—
1361C2×D4—22no—
1362C2×D4—22no—
1363C2×D4—22no—
1364C2×D4—416no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—41no—
1370C2×D4—41no—
1371C2×D4—44no—
1372C2×D4—41no—
1373C2×D4—41no—
1374C2×D4—42no—
1375C2×D4—44no—
1376C2×D4—41no—
1377C2×D4—41no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4C22×D414yes—
1402C2×D4C22×D414yes—
1403C2×D4C22×D418yes—
1404C22×C4—22no—
1405C22×C4—22no—
1406C22×C4—28no—
1407C22×C4—28no—
1408C22×C4—24no—
1409C22×C4—22no—
1410C22×C4—22no—
1411C22×C4—22no—
1412C22×C4—22no—
1413C22×C4—24no—
1414C22×C4—24no—
1415C22×C4—22no—
1416C22×C4—22no—
1417C22×C4—24no—
1418C22×C4—24no—
1419C22×C4—22no—
1420C22×C4—22no—
1421C22×C4—22no—
1422C22×C4—22no—
1423C22×C4—24no—
1424C22×C4—28no—
1425C22×C4—44no—
1426C22×C4—42no—
1427C22×C4—44no—
1428C22×C4—44no—
1429C22×C4—44no—
1430C22×C4—44no—
1431C22×C4—42no—
1432C22×C4—42no—
1433C22×C4—42no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—42no—
1437C22×C4—44no—
1438C22×C4—42no—
1439C22×C4—44no—
1440C22×C4—44no—
1441C22×C4—44no—
1442C22×C4—44no—
1443C22×C4—42no—
1444C22×C4—42no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—44no—
1449C22×C4—44no—
1450C22×C4—44no—
1451C22×C4—44no—
1452C22×C4—816no—
1453C22×C4C22×D414yes—
1454C22×C4C22×D414yes—
1455C22×C4C22×D414yes—
1456C22×C4C22×D418yes—
1457C22×C4C22×D418yes—
1458C22×C4C22×D418yes—
1459C22×C4C22×D418yes—
1460C22×C4C22×D418yes—
1461C22×C4C2512yes—
1462C22×C4C2514yes—
1463C22×C4C2512yes—
1464C22×C4C2512yes—
1465C22×C4C2514yes—
1466C22×C4C2511yescharacteristic
1467C22×C4C2511yescharacteristic
1468C22×C4C2512yes—
1469C22×C4C2512yes—
1470C22×C4C2512yes—
1471C22×C4C2511yescharacteristic
1472C22×C4C2511yescharacteristic
1473C22×C4C2512yes—
1474C22×C4C2514yes—
1475C22×C4C2511yescharacteristic
1476C22×C4C2511yescharacteristic
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2514yes—
1480C22×C4C2512yes—
1481C22×C4C2511yescharacteristic
1482C22×C4C2511yescharacteristic
1483C22×C4C2511yescharacteristic
1484C22×C4C2511yescharacteristic
1485C22×C4C2511yescharacteristic
1486C22×C4C2512yes—
1487C22×C4C2512yes—
1488C22×C4C2511yescharacteristic
1489C4⋊C4—24no—
1490C4⋊C4—28no—
1491C4⋊C4—22no—
1492C4⋊C4—24no—
1493C4⋊C4—24no—
1494C4⋊C4—28no—
1495C4⋊C4—28no—
1496C4⋊C4—28no—
1497C4⋊C4—24no—
1498C4⋊C4—22no—
1499C4⋊C4—22no—
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—24no—
1504C4⋊C4—22no—
1505C4⋊C4—22no—
1506C4⋊C4—24no—
1507C4⋊C4—22no—
1508C4⋊C4—22no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—24no—
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—28no—
1520C4⋊C4—24no—
1521C4⋊C4—28no—
1522C4⋊C4—24no—
1523C4⋊C4—24no—
1524C4⋊C4—24no—
1525C4⋊C4—42no—
1526C4⋊C4—42no—
1527C4⋊C4—44no—
1528C4⋊C4—42no—
1529C4⋊C4—42no—
1530C4⋊C4—44no—
1531C4⋊C4—44no—
1532C4⋊C4—42no—
1533C4⋊C4—42no—
1534C4⋊C4—44no—
1535C4⋊C4—44no—
1536C4⋊C4—44no—
1537C4⋊C4—44no—
1538C4⋊C4—44no—
1539C4⋊C4—44no—
1540C4⋊C4—44no—
1541C4⋊C4—42no—
1542C4⋊C4—44no—
1543C4⋊C4—44no—
1544C4⋊C4—44no—
1545C4⋊C4—42no—
1546C4⋊C4C22×D414yes—
1547C4⋊C4C22×D418yes—
1548C4⋊C4C22×D414yes—
1549C22⋊C4—24no—
1550C22⋊C4—28no—
1551C22⋊C4—28no—
1552C22⋊C4—28no—
1553C22⋊C4—22no—
1554C22⋊C4—22no—
1555C22⋊C4—24no—
1556C22⋊C4—28no—
1557C22⋊C4—24no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—24no—
1561C22⋊C4—28no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—22no—
1568C22⋊C4—22no—
1569C22⋊C4—24no—
1570C22⋊C4—22no—
1571C22⋊C4—22no—
1572C22⋊C4—24no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—24no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—24no—
1579C22⋊C4—28no—
1580C22⋊C4—24no—
1581C22⋊C4—42no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—44no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—44no—
1595C22⋊C4—42no—
1596C22⋊C4—42no—
1597C22⋊C4—44no—
1598C22⋊C4—42no—
1599C22⋊C4—42no—
1600C22⋊C4—44no—
1601C22⋊C4—42no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—44no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—42no—
1611C22⋊C4—42no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—42no—
1616C22⋊C4C22×D418yes—
1617C22⋊C4C22×D418yes—
1618C22⋊C4C22×D418yes—
1619C22⋊C4C22×D418yes—
1620C42—22no—
1621C42—22no—
1622C42—24no—
1623C42—24no—
1624C42—22no—
1625C42—22no—
1626C42—22no—
1627C42—22no—
1628C42—24no—
1629C42—28no—
1630C42—28no—
1631C42—24no—
1632C42—24no—
1633C42—24no—
1634C42—44no—
1635C42—44no—
1636C42—44no—
1637C42C22×D414yes—
1638C42C22×D414yes—
1639C42C22×D414yes—
1640C42C22×D414yes—
1641C23—22no—
1642C23—22no—
1643C23—21no—
1644C23—21no—
1645C23—22no—
1646C23—22no—
1647C23—22no—
1648C23—24no—
1649C23—24no—
1650C23—24no—
1651C23—24no—
1652C23—22no—
1653C23—22no—
1654C23—22no—
1655C23—21no—
1656C23—21no—
1657C23—21no—
1658C23—21no—
1659C23—22no—
1660C23—22no—
1661C23—21no—
1662C23—21no—
1663C23—22no—
1664C23—22no—
1665C23—22no—
1666C23—22no—
1667C23—24no—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—24no—
1673C23—22no—
1674C23—22no—
1675C23—48no—
1676C23—48no—
1677C23—48no—
1678C23—88no—
1679C23—88no—
1680C23C23×D414yes—
1681C23C23×D412yes—
1682C23C23×D414yes—
1683C23C2611yescharacteristic
1684Q8—44no—
1685Q8—48no—
1686Q8—44no—
1687Q8—44no—
1688Q8—48no—
1689Q8—88no—
1690Q8—84no—
1691Q8—84no—
1692D4—28no—
1693D4—28no—
1694D4—48no—
1695D4—44no—
1696D4—44no—
1697D4—48no—
1698D4—44no—
1699D4—44no—
1700D4—48no—
1701D4—416no—
1702D4—44no—
1703D4—84no—
1704D4—84no—
1705D4—84no—
1706D4—84no—
1707D4—84no—
1708D4—84no—
1709D4—84no—
1710D4—84no—
1711D4—84no—
1712D4—84no—
1713D4—88no—
1714D4—84no—
1715D4—84no—
1716D4—164no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—24no—
1720C2×C4—24no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—28no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—24no—
1734C2×C4—22no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—22no—
1738C2×C4—24no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—22no—
1744C2×C4—24no—
1745C2×C4—24no—
1746C2×C4—22no—
1747C2×C4—24no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—22no—
1751C2×C4—22no—
1752C2×C4—24no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—24no—
1759C2×C4—24no—
1760C2×C4—22no—
1761C2×C4—22no—
1762C2×C4—24no—
1763C2×C4—22no—
1764C2×C4—24no—
1765C2×C4—22no—
1766C2×C4—22no—
1767C2×C4—24no—
1768C2×C4—22no—
1769C2×C4—24no—
1770C2×C4—24no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—24no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—44no—
1781C2×C4—48no—
1782C2×C4—48no—
1783C2×C4—48no—
1784C2×C4—48no—
1785C2×C4—48no—
1786C2×C4—44no—
1787C2×C4—48no—
1788C2×C4—44no—
1789C2×C4—48no—
1790C2×C4—44no—
1791C2×C4—416no—
1792C2×C4—48no—
1793C2×C4—44no—
1794C2×C4—44no—
1795C2×C4—82no—
1796C2×C4—82no—
1797C2×C4—84no—
1798C2×C4—88no—
1799C2×C4—88no—
1800C2×C4—164no—
1801C2×C4—164no—
1802C2×C4C23×D412yes—
1803C2×C4C23×D412yes—
1804C2×C4C23×D412yes—
1805C2×C4C23×D412yes—
1806C2×C4C23×D414yes—
1807C2×C4C23×D412yes—
1808C2×C4C23×D414yes—
1809C2×C4C23×D412yes—
1810C2×C4#58512yes—
1811C2×C4#58512yes—
1812C22—22no—
1813C22—24no—
1814C22—24no—
1815C22—22no—
1816C22—24no—
1817C22—24no—
1818C22—22no—
1819C22—24no—
1820C22—24no—
1821C22—44no—
1822C22—44no—
1823C22—42no—
1824C22—44no—
1825C22—44no—
1826C22—42no—
1827C22—41no—
1828C22—42no—
1829C22—41no—
1830C22—42no—
1831C22—41no—
1832C22—42no—
1833C22—41no—
1834C22—42no—
1835C22—42no—
1836C22—42no—
1837C22—44no—
1838C22—42no—
1839C22—42no—
1840C22—42no—
1841C22—42no—
1842C22—42no—
1843C22—44no—
1844C22—42no—
1845C22—42no—
1846C22—41no—
1847C22—41no—
1848C22—42no—
1849C22—816no—
1850C22C24×D411yescharacteristic
1851C22C2×#58511yescharacteristic
1852C22C2×#58511yescharacteristic
1853C22H(7,𝔽2)12yes—
1854C222−1+612yes—
1855C4—22no—
1856C4—22no—
1857C4—24no—
1858C4—24no—
1859C4—22no—
1860C4—22no—
1861C4—22no—
1862C4—41no—
1863C4—42no—
1864C4—41no—
1865C4—44no—
1866C4—42no—
1867C4—42no—
1868C4—41no—
1869C4—41no—
1870C4—42no—
1871C4—42no—
1872C4—44no—
1873C4—42no—
1874C4—42no—
1875C4—44no—
1876C4—42no—
1877C4—42no—
1878C4—41no—
1879C4—41no—
1880C4—42no—
1881C4—44no—
1882C4#344914yes—
1883C2—44no—
1884C2—44no—
1885C2—42no—
1886C2—81no—
1887C2—82no—
1888C2—81no—
1889C2—82no—
1890C2C2×#344911yescharacteristic
1891C2#6284211yescharacteristic
1892C2#6285911yescharacteristic
1893C2#6288212yes—
1894C2#6288412yes—
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×#3520C2semidirect
2. C2×#3460C2semidirect
3. #42652C2semidirect
4. #42649C2semidirect
5. #42648C2semidirect
6. #42645C2semidirect
7. #42436C2semidirect
8. #42435C2semidirect
9. #42434C2semidirect
10. #42432C2semidirect
11. #42431C2semidirect
12. #42428C2semidirect
13. #42427C2semidirect
14. #42424C2semidirect
15. #42311C2semidirect
16. #42310C2semidirect
17. #42152C2semidirect
18. #42151C2semidirect
19. #41378C2semidirect
20. #41376C2semidirect
21. #37454C2semidirect
22. #37449C2semidirect
23. #37447C2semidirect
24. #37445C2semidirect
25. #37234C2semidirect
26. #37121C2semidirect
27. #35654C2semidirect
28. #35636C2semidirect
29. #35607C2semidirect
30. #35600C2semidirect
31. #35210C2semidirect
32. #35200C2semidirect
33. #34636C2semidirect
34. #34627C2semidirect
35. #34190C2semidirect
77. #2852C22semidirect
78. #2851C22semidirect
80. #2817C22semidirect
82. #2816C22semidirect
83. #2816C22semidirect
84. #2815C22semidirect
85. #2814C22semidirect
86. #2814C22semidirect
87. #2814C22semidirect
88. #2814C22semidirect
91. #2722C22semidirect
92. #2720C22semidirect
93. #2719C22semidirect
94. #2718C22semidirect
96. #2715C22semidirect
97. #2713C22semidirect
98. #2711C22semidirect
99. #2710C22semidirect
103. #2706C22semidirect
104. #2703C22semidirect
105. #2695C22semidirect
106. #2695C22semidirect
107. #2693C22semidirect
108. #2692C22semidirect
109. #2691C22semidirect
110. #2690C22semidirect
111. #2689C22semidirect
113. #2687C22semidirect
115. #2677C22semidirect
116. #2676C22semidirect
117. #2674C22semidirect
119. #2672C22semidirect
120. #2672C22semidirect
122. #2671C22semidirect
123. #2663C22semidirect
124. #2663C22semidirect
125. #2661C22semidirect
126. #2661C22semidirect
127. #2659C22semidirect
128. #2659C22semidirect
129. #2639C22semidirect
130. #2639C22semidirect
139. #2637C22semidirect
140. #2636C22semidirect
145. #2634C22semidirect
146. #2634C22semidirect
147. #2633C22semidirect
148. #2633C22semidirect
149. #2632C22semidirect
150. #2631C22semidirect
153. #2628C22semidirect
154. #2628C22semidirect
156. #2625C22semidirect
157. #2624C22semidirect
158. #2623C22semidirect
159. #2623C22semidirect
163. #2621C22semidirect
164. #2621C22semidirect
169. #2616C22semidirect
170. #2615C22semidirect
171. #2614C22semidirect
172. #2614C22semidirect
173. #2611C22semidirect
174. #2610C22semidirect
176. #2602C22semidirect
177. #2602C22semidirect
178. #2600C22semidirect
179. #2600C22semidirect
180. #2599C22semidirect
181. #2599C22semidirect
182. #2581C22semidirect
183. #2580C22semidirect
184. #2579C22semidirect
185. #2579C22semidirect
186. #2567C22semidirect
187. #2564C22semidirect
188. #2564C22semidirect
189. #2563C22semidirect
190. #2559C22semidirect
191. #2557C22semidirect
192. #2555C22semidirect
193. #2553C22semidirect
194. #2551C22semidirect
195. #2550C22semidirect
197. #2547C22semidirect
198. #2546C22semidirect
200. #2542C22semidirect
201. #2540C22semidirect
203. #2536C22semidirect
205. #2535C22semidirect
206. #2521C22semidirect
207. #2521C22semidirect
208. #2504C22semidirect
209. #2502C22semidirect
211. #2499C22semidirect
212. #2498C22semidirect
213. #2498C22semidirect
214. #2498C22semidirect
215. #2496C22semidirect
216. #2492C22semidirect
217. #2492C22semidirect
218. #2491C22semidirect
219. #2491C22semidirect
220. #2489C22semidirect
223. #2485C22semidirect
224. #2484C22semidirect
225. #2478C22semidirect
226. #2476C22semidirect
227. #2474C22semidirect
228. #2470C22semidirect
229. #2468C22semidirect
230. #2464C22semidirect
231. #2461C22semidirect
232. #2457C22semidirect
233. #2453C22semidirect
234. #2451C22semidirect
237. #2442C22semidirect
238. #2440C22semidirect
239. #2436C22semidirect
240. #2434C22semidirect
243. #2432C22semidirect
245. #2430C22semidirect
246. #2430C22semidirect
247. #2430C22semidirect
248. #2429C22semidirect
253. #2426C22semidirect
256. #2417C22semidirect
257. #2416C22semidirect
265. #2407C22semidirect
266. #2406C22semidirect
267. #2399C22semidirect
268. #2398C22semidirect
269. #2396C22semidirect
270. #2396C22semidirect
274. #2392C22semidirect
275. #2392C22semidirect
286. #2327C22semidirect
287. #2326C22semidirect
288. #2324C22semidirect
289. #2323C22semidirect
292. C4×C22⋊Q8C22semidirect
293. C4×C22⋊Q8C22semidirect
294. #2290C22semidirect
295. #2290C22semidirect
459. C2×C4×D4D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35202
C2×#34602
#426522
#426492
#426482
#426452
#424362
#424352
#424342
#424322
#424312
#424282
#424272
#424242
#423112
#423102
#421522
#421512
#413782
#413762
#374542
#374492
#374472
#374452
#372342
#371212
#356542
#356362
#356072
#356002
#352102
#352002
#346362
#346272
#341902