Finite Group Databasebeta

← #7732390

Subgroups — #7732390

Order 512.

7200 conjugacy classes of subgroups.

The subgroup lattice has 1770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3558C211yesmaximal, characteristic, complemented
2C2×#3461C211yesmaximal, characteristic, complemented
3#51425C214yesmaximal, complemented
4#51424C214yesmaximal, complemented
5#47686C214yesmaximal, complemented
6#47684C214yesmaximal, complemented
7#44760C214yesmaximal, complemented
8#43998C214yesmaximal, complemented
9#39726C212yesmaximal, complemented
10#39718C212yesmaximal, complemented
11#39423C212yesmaximal, complemented
12#39414C212yesmaximal, complemented
13#39380C212yesmaximal, complemented
14#39354C212yesmaximal, complemented
15#38034C212yesmaximal, complemented
16#38026C212yesmaximal, complemented
17#38025C212yesmaximal, complemented
18#38024C212yesmaximal, complemented
19#37546C211yesmaximal, characteristic, complemented
20#37278C212yesmaximal, complemented
21#37275C212yesmaximal, complemented
22#36374C212yesmaximal, complemented
23#36258C212yesmaximal, complemented
24#35568C212yesmaximal, complemented
25#35556C212yesmaximal, complemented
26#35238C211yesmaximal, characteristic, complemented
27#35178C211yesmaximal, characteristic, complemented
28C2×#2592C211yesmaximal, characteristic, complemented
29#34243C211yesmaximal, characteristic, complemented
30#3558—216no—
31C2×#562C2212yes—
32C2×H(3,𝔽4)C2212yes—
33C2×#559C2212yes—
34C2×#548C2212yes—
35C2×#546C2212yes—
36C2×#546C2214yes—
37C2×#546C2214yescomplemented
38C2×D42C2212yes—
39#3461—216no—
40C2×#544C2211yescharacteristic, complemented
41C2×#542C2212yes—
42C2×#542C2212yescomplemented
43C2×#542C2212yescomplemented
44C2×#541C2212yescomplemented
45C2×#541C2212yescomplemented
46C2×#539C2211yescharacteristic
47C2×#539C2211yescharacteristic, complemented
48C2×#539C2212yescomplemented
49C2×#538C2214yes—
50C2×#538C2212yes—
51C2×#537C2211yescharacteristic
52C2×#536C2212yescomplemented
53C2×#536C2212yescomplemented
54C2×#535C2212yes—
55C2×#534C2212yes—
56C2×#533C2212yescomplemented
57C2×#533C2212yescomplemented
58C2×#532C2211yescharacteristic
59C2×#529C2211yescharacteristic
60C2×#529C2212yescomplemented
61C2×#529C2212yescomplemented
62C2×#529C2212yescomplemented
63C2×#529C2211yescharacteristic, complemented
64C22×#124C2211yescharacteristic
65C2×C4×#41C2212yescomplemented
66C22×C4×Q8C2211yescharacteristic, complemented
67#2856C2212yes—
68#2856C2212yescomplemented
69#2855C2212yescomplemented
70#2854C2212yes—
71#2854C2212yescomplemented
72#2854C2212yescomplemented
73#2850C2212yescomplemented
74#2850C2212yescomplemented
75#2820C2212yescomplemented
76#2819C2212yescomplemented
77#2731C2214yescomplemented
78#2730C2214yescomplemented
79#2721C2214yescomplemented
80#2716C2214yescomplemented
81#2715C2214yescomplemented
82#2714C2214yescomplemented
83#2714C2214yescomplemented
84#2712C2214yescomplemented
85#2711C2214yescomplemented
86#2711C2214yescomplemented
87#2707C2214yescomplemented
88#2707C2214yescomplemented
89#2707C2214yescomplemented
90#2705C2214yescomplemented
91#2704C2214yescomplemented
92#2703C2214yescomplemented
93#2702C2214yescomplemented
94#2700C2214yescomplemented
95#2697C2214yescomplemented
96#2696C2214yescomplemented
97#2691C2214yescomplemented
98#2690C2214yescomplemented
99#2687C2214yescomplemented
100#2685C2214yescomplemented
101#2685C2214yescomplemented
102#2681C2214yescomplemented
103#2681C2214yescomplemented
104#2681C2214yescomplemented
105#2680C2214yescomplemented
106#2678C2214yescomplemented
107#2678C2214yescomplemented
108#2677C2214yescomplemented
109#2676C2214yescomplemented
110#2676C2214yescomplemented
111#2674C2214yescomplemented
112#2674C2214yescomplemented
113#2673C2214yescomplemented
114#2670C2214yescomplemented
115#2670C2214yescomplemented
116#2669C2214yescomplemented
117#2662C2214yescomplemented
118#2662C2214yescomplemented
119#2626C2212yescomplemented
120#2625C2212yescomplemented
121#2624C2212yes—
122#2620C2212yescomplemented
123#2620C2212yescomplemented
124#2620C2212yescomplemented
125#2619C2212yes—
126#2618C2212yescomplemented
127#2618C2212yescomplemented
128#2617C2212yescomplemented
129#2592C2212yescomplemented
130#2592C2212yescomplemented
131#2592C2212yescomplemented
132#2592C2212yescomplemented
133#2592C2214yescomplemented
134#2592C2212yescomplemented
135#2592C2214yescomplemented
136#2592C2212yescomplemented
137#2592C2212yescomplemented
138#2582C2212yescomplemented
139#2581C2212yescomplemented
140#2580C2212yescomplemented
141#2567C2211yescharacteristic, complemented
142#2566C2212yescomplemented
143#2563C2211yescharacteristic, complemented
144#2560C2214yescomplemented
145#2558C2214yescomplemented
146#2558C2214yescomplemented
147#2557C2214yescomplemented
148#2554C2214yescomplemented
149#2554C2214yescomplemented
150#2553C2214yescomplemented
151#2548C2212yes—
152#2548C2212yes—
153#2548C2212yescomplemented
154#2548C2211yescharacteristic, complemented
155#2546C2212yescomplemented
156#2545C2214yescomplemented
157#2545C2214yescomplemented
158#2544C2212yescomplemented
159#2543C2214yescomplemented
160#2541C2211yescharacteristic, complemented
161#2540C2212yescomplemented
162#2539C2214yescomplemented
163#2538C2212yescomplemented
164#2538C2212yescomplemented
165#2538C2212yescomplemented
166#2536C2214yescomplemented
167#2534C2214yescomplemented
168#2519C2214yescomplemented
169#2491C2214yescomplemented
170#2491C2214yescomplemented
171#2491C2214yescomplemented
172#2490C2214yescomplemented
173#2490C2214yescomplemented
174#2480C2214yescomplemented
175#2477C2214yescomplemented
176#2474C2214yescomplemented
177#2472C2214yescomplemented
178#2472C2214yescomplemented
179#2472C2214yescomplemented
180#2472C2214yescomplemented
181#2472C2214yescomplemented
182#2472C2214yescomplemented
183#2465C2214yescomplemented
184#2464C2214yescomplemented
185#2463C2214yescomplemented
186#2461C2214yescomplemented
187#2460C2214yescomplemented
188#2459C2214yescomplemented
189#2452C2214yescomplemented
190#2452C2214yescomplemented
191#2450C2214yescomplemented
192#2444C2214yescomplemented
193#2437C2214yescomplemented
194#2430C2214yescomplemented
195#2430C2214yescomplemented
196#2427C2214yescomplemented
197#2426C2214yescomplemented
198#2426C2214yescomplemented
199#2425C2214yescomplemented
200#2425C2214yescomplemented
201#2424C2214yescomplemented
202#2424C2214yescomplemented
203#2424C2214yescomplemented
204#2417C2212yescomplemented
205#2416C2212yes—
206#2416C2212yescomplemented
207#2416C2212yescomplemented
208#2415C2212yescomplemented
209#2414C2212yes—
210#2414C2214yescomplemented
211#2412C2214yescomplemented
212#2411C2214yescomplemented
213#2411C2214yescomplemented
214#2411C2214yescomplemented
215#2410C2214yescomplemented
216#2409C2212yescomplemented
217#2408C2212yes—
218#2408C2212yescomplemented
219#2408C2212yescomplemented
220#2407C2212yescomplemented
221#2407C2212yescomplemented
222#2405C2214yescomplemented
223C2×#397C2212yescomplemented
224C2×#393C2212yescomplemented
225#2370C2212yescomplemented
226#2367C2212yescomplemented
227#2364C2214yescomplemented
228#2359C2214yescomplemented
229#2359C2214yescomplemented
230#2355C2211yescharacteristic, complemented
231#2354C2211yescharacteristic, complemented
232#2352C2212yescomplemented
233Q8×C4⋊C4C2211yescharacteristic, complemented
234D4×C4⋊C4C2211yescharacteristic, complemented
235D4×C4⋊C4C2212yescomplemented
236D4×C22⋊C4C2214yescomplemented
237#2334C2214yescomplemented
238#2324C2212yescomplemented
239#2324C2212yescomplemented
240#2324C2212yescomplemented
241#2323C2212yescomplemented
242#2314C2212yescomplemented
243#2311C2212yescomplemented
244#2311C2212yescomplemented
245#2309C2212yescomplemented
246C4×C22⋊Q8C2212yescomplemented
247C4×C22⋊Q8C2212yescomplemented
248C4×#121C2212yes—
249C4×#121C2212yescomplemented
250#2297C2212yescomplemented
251C2×#391C2211yescharacteristic, complemented
252C2×#391C2211yescharacteristic, complemented
253C2×#390C2211yescharacteristic
254C2×#390C2211yescharacteristic
255C2×#390C2212yescomplemented
256C2×#388C2212yescomplemented
257C2×#388C2212yescomplemented
258#2285C2211yescharacteristic, complemented
259#2274C2212yescomplemented
260C2×C4×C4⋊C4C2211yescharacteristic, complemented
261C22×#41C2312yes—
262C22×#41C2312yes—
263C22×#41C2312yes—
264C23×Q8C2311yescharacteristic
265C23×Q8C2311yescharacteristic
266C23×D4C2312yes—
267C23×D4C2314yes—
268C23×D4C2311yescharacteristic
269#562—216no—
270H(3,𝔽4)—216no—
271#559—216no—
272#548—216no—
273#546—232no—
274#546—216no—
275#546—416no—
276D42—216no—
277#544—28no—
278#542—216no—
279#542—216no—
280#542—216no—
281#541—216no—
282#541—216no—
283#539—216no—
284#539—28no—
285#539—28no—
286#538—232no—
287#538—216no—
288#537—28no—
289#536—216no—
290#536—48no—
291#535—216no—
292#534—216no—
293#533—216no—
294#533—216no—
295#532—28no—
296C2×C4⋊Q8C2311yescharacteristic
297C2×C4⋊Q8C2312yes—
298C2×C4⋊Q8C2312yes—
299C2×C4⋊Q8C2312yes—
300C2×C4⋊Q8C2312yes—
301C2×C4⋊Q8C2314yes—
302C2×#127C2312yes—
303C2×#127C2311yescharacteristic
304C2×#127C2312yes—
305#529—216no—
306#529—216no—
307#529—216no—
308#529—28no—
309#529D4116yescomplemented
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2312yes—
316C2×#126C2312yes—
317C2×#126C2314yes—
318C2×#126C2312yes—
319C2×#125C2311yescharacteristic
320C2×#125C2312yes—
321C2×#125C2312yes—
322C2×#125C2312yes—
323C2×#125C2312yes—
324C2×#125C2312yes—
325C2×#125C2312yes—
326C2×#125C2312yes—
327C2×#125C2311yescharacteristic
328C2×#124—28no—
329C2×#124C2311yescharacteristic
330C2×#124C2312yes—
331C2×#124C2312yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2314yes—
340C2×#124C2314yes—
341C2×#124C2314yes—
342C2×#124C2314yes—
343C2×#124C2314yes—
344C2×#124C2312yes—
345C2×#124C2314yes—
346C2×#124C2311yescharacteristic
347C2×#123C2314yes—
348C2×#123C2312yes—
349C2×#123C2312yes—
350C2×#123C2312yes—
351C2×#123C2312yes—
352C2×#123C2312yes—
353C2×#123C2312yes—
354C2×#123C2312yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×#123C2314yes—
358C2×#123C2314yes—
359C2×#123C2314yes—
360C2×#123C2314yes—
361C2×#123C2312yes—
362C2×C22⋊Q8C2314yes—
363C2×C22⋊Q8C2311yescharacteristic
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2312yes—
375C2×C22⋊Q8C2312yes—
376C2×C22⋊Q8C2314yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2311yescharacteristic
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2311yescharacteristic
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2314yes—
390C2×#121C2312yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2314yes—
399C2×#121C2314yes—
400C2×#121C2314yes—
401C2×#121C2312yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2311yescharacteristic
405C2×#120C2314yes—
406C2×#120C2314yes—
407C2×#120C2314yes—
408C2×#120C2314yes—
409C2×#120C2314yes—
410C2×#120C2314yes—
411C2×#120C2314yes—
412C2×#120C2314yes—
413C4×#41—216no—
414C2×C4×Q8—28no—
415C2×C4×Q8C2311yescharacteristic
416C2×C4×Q8C2312yes—
417C2×C4×Q8C2312yes—
418C2×C4×Q8C2312yes—
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2312yes—
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2312yes—
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2311yescharacteristic
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2314yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×C4×D4C2312yes—
436C2×C4×D4C2312yes—
437C2×C4×D4C2314yes—
438C2×C4×D4C2314yes—
439C2×C4×D4C2314yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2311yescharacteristic
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C2×#117C2312yes—
447C2×#117C2312yes—
448C2×#117C2312yes—
449C2×#117C2312yes—
450C2×#117C2312yes—
451C2×#117C2312yes—
452C22×C4⋊C4C2311yescharacteristic
453C22×C4⋊C4C2311yescharacteristic
454C22×C4⋊C4C2311yescharacteristic
455C22×C4⋊C4C2312yes—
456C22×C4⋊C4C2311yescharacteristic
457C22×C4⋊C4C2311yescharacteristic
458C22×C22⋊C4C2312yes—
459C22×C22⋊C4C2312yes—
460C22×C22⋊C4C2312yes—
461C22×C22⋊C4C2314yes—
462C22×C22⋊C4C2312yes—
463C22×C22⋊C4C2314yes—
464C22×C22⋊C4C2312yes—
465C22×C22⋊C4C2314yes—
466C22×C22⋊C4C2312yes—
467C22×C42C2312yes—
468C22×C42C2312yes—
469C22×C42C2311yescharacteristic
470C22×C42C2311yescharacteristic
471C22×C42C2312yes—
472C22×C42C2311yescharacteristic
473#400C2314yes—
474#400C2314yes—
475#399C2314yes—
476#399C2314yes—
477#399C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#395C2314yes—
512#395C2314yes—
513#395C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#393C2314yes—
542#393C2314yes—
543#393C2314yes—
544#393C2314yes—
545#393C2314yes—
546#393C2314yes—
547#393C2314yes—
548#393C2314yes—
549#393C2314yes—
550#393C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#391C2314yes—
562#391C2312yes—
563#391C2312yes—
564#391C2312yes—
565#391C2312yes—
566#391C2312yes—
567#391C2312yes—
568#391C2314yes—
569#391C2312yes—
570#391C2314yes—
571#391C2314yes—
572#391C2312yes—
573#390C2314yes—
574#390C2312yes—
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2314yes—
580#390C2314yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2314yes—
586#390C2314yes—
587#390C2314yes—
588#390C2314yes—
589#390C2312yes—
590#390C2312yes—
591#390C2314yes—
592#390C2314yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2314yes—
597#390C2314yes—
598#390C2312yes—
599#390C2314yes—
600#390C2312yes—
601#390C2314yes—
602#390C2314yes—
603#390C2314yes—
604#390C2314yes—
605#390C2314yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2314yes—
610#389C2312yes—
611#389C2312yes—
612#389C2314yes—
613#389C2314yes—
614#389C2314yes—
615#389C2312yes—
616#389C2312yes—
617#389C2312yes—
618#389C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#385C2314yes—
685#385C2314yes—
686#385C2314yes—
687#385C2314yes—
688#385C2314yes—
689#385C2314yes—
690#385C2314yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#384C2312yes—
698#384C2312yes—
699#384C2311yescharacteristic
700#384C2311yescharacteristic
701#382C2312yes—
702#382C2312yes—
703#382C2312yes—
704#381C2314yes—
705#380C2312yes—
706#380C2312yes—
707#380C2314yes—
708#380C2314yes—
709#380C2314yes—
710#380C2314yes—
711#380C2312yes—
712#380C2312yes—
713#380C2314yes—
714#380C2312yes—
715#380C2312yes—
716#380C2314yes—
717#379C2314yes—
718#379C2314yes—
719#379C2314yes—
720#379C2314yes—
721#379C2314yes—
722C4×C4⋊C4C2314yes—
723C4×C4⋊C4C2311yescharacteristic
724C4×C4⋊C4C2312yes—
725C4×C4⋊C4C2311yescharacteristic
726C4×C4⋊C4C2312yes—
727C4×C4⋊C4C2312yes—
728C4×C4⋊C4C2311yescharacteristic
729C4×C4⋊C4C2311yescharacteristic
730C4×C4⋊C4C2312yes—
731C4×C4⋊C4C2314yes—
732C4×C4⋊C4C2312yes—
733C4×C4⋊C4C2312yes—
734C4×C4⋊C4C2312yes—
735C4×C4⋊C4C2314yes—
736C4×C4⋊C4C2312yes—
737C4×C22⋊C4C2314yes—
738C4×C22⋊C4C2314yes—
739C4×C22⋊C4C2314yes—
740C4×C22⋊C4C2314yes—
741C4×C22⋊C4C2314yes—
742C4×C22⋊C4C2314yes—
743C4×C22⋊C4C2314yes—
744C2×#95C2312yes—
745C2×#95C2312yes—
746C2×#95C2312yes—
747C2×#95C2312yes—
748C2×#95C2312yes—
749C25C2412yes—
750C25C2414yes—
751C2×#41—28no—
752C2×#41—28no—
753C2×#41—28no—
754C2×#41—28no—
755C2×#41—44no—
756C2×#41—44no—
757C2×#41—44no—
758C2×#41—44no—
759C2×#41—44no—
760C22×Q8—24no—
761C22×Q8—24no—
762C22×Q8—24no—
763C22×Q8—42no—
764C22×Q8—42no—
765C22×Q8—42no—
766C22×Q8C2412yes—
767C22×Q8C2412yes—
768C22×Q8C2412yes—
769C22×Q8C2412yes—
770C22×Q8C2411yescharacteristic
771C22×Q8C2412yes—
772C22×Q8C2412yes—
773C22×Q8C2412yes—
774C22×Q8C2411yescharacteristic
775C22×D4—216no—
776C22×D4—24no—
777C22×D4—28no—
778C22×D4—42no—
779C22×D4—42no—
780C22×D4—44no—
781C22×D4—44no—
782C22×D4—48no—
783C22×D4—48no—
784C22×D4C2412yes—
785C22×D4C2414yes—
786C22×D4C2412yes—
787C22×D4C2412yes—
788C22×D4C2412yes—
789C22×D4C2412yes—
790C22×D4C2414yes—
791C22×D4C2412yes—
792C22×D4C2412yes—
793C22×D4C2411yescharacteristic
794C22×D4C2414yes—
795C22×D4C2414yes—
796C22×D4C2412yes—
797C22×D4C2412yes—
798C22×D4C2414yes—
799C22×D4C2414yes—
800C22×D4C2414yes—
801C22×D4C2414yes—
802C22×D4C2414yes—
803C22×D4C2414yes—
804C22×D4C2411yescharacteristic
805C23×C4C2411yescharacteristic
806C23×C4C2412yes—
807C23×C4C2412yes—
808C23×C4C2412yes—
809C23×C4C2411yescharacteristic
810C23×C4C2411yescharacteristic
811C23×C4C2412yes—
812C23×C4C2411yescharacteristic
813C23×C4C2411yescharacteristic
814C23×C4C2411yescharacteristic
815C23×C4C2412yes—
816C23×C4C2412yes—
817C23×C4C2412yes—
818C23×C4C2412yes—
819C23×C4C2414yes—
820C23×C4C2414yes—
821C23×C4C2414yes—
822C23×C4C2412yes—
823C23×C4C2414yes—
824C23×C4C2411yescharacteristic
825C4⋊Q8—28no—
826C4⋊Q8—28no—
827C4⋊Q8—28no—
828C4⋊Q8—28no—
829C4⋊Q8—24no—
830C4⋊Q8—48no—
831#127—24no—
832#127—28no—
833#127—82no—
834#126—28no—
835#126—28no—
836#126—28no—
837#126—216no—
838#126—28no—
839#126—28no—
840#126—28no—
841#126—28no—
842#126C2×D4116yes—
843#125—28no—
844#125—28no—
845#125—28no—
846#125—28no—
847#125—28no—
848#125—28no—
849#125—28no—
850#125—24no—
851#125C2×D418yes—
852#124—216no—
853#124—28no—
854#124—28no—
855#124—28no—
856#124—216no—
857#124—216no—
858#124—28no—
859#124—28no—
860#124—28no—
861#124—28no—
862#124—24no—
863#124—28no—
864#124—28no—
865#124—48no—
866#124—48no—
867#124—82no—
868#124—84no—
869#124C2×D418yes—
870#123—28no—
871#123—28no—
872#123—28no—
873#123—216no—
874#123—28no—
875#123—216no—
876#123—216no—
877#123—216no—
878#123—28no—
879#123—28no—
880#123—28no—
881#123—216no—
882#123—48no—
883#123—48no—
884#123C2×D4116yes—
885C22⋊Q8—28no—
886C22⋊Q8—24no—
887C22⋊Q8—28no—
888C22⋊Q8—28no—
889C22⋊Q8—28no—
890C22⋊Q8—28no—
891C22⋊Q8—28no—
892C22⋊Q8—216no—
893C22⋊Q8—216no—
894C22⋊Q8—28no—
895C22⋊Q8—28no—
896C22⋊Q8—28no—
897C22⋊Q8—28no—
898C22⋊Q8—28no—
899C22⋊Q8—28no—
900C22⋊Q8—48no—
901C22⋊Q8—48no—
902C22⋊Q8—48no—
903C22⋊Q8—44no—
904C22⋊Q8—44no—
905C22⋊Q8C2×D418yes—
906#121—28no—
907#121—28no—
908#121—216no—
909#121—24no—
910#121—28no—
911#121—28no—
912#121—28no—
913#121—216no—
914#121—216no—
915#121—216no—
916#121—28no—
917#121—216no—
918#121—48no—
919#121—48no—
920#121—44no—
921#121—44no—
922#121—44no—
923#121—44no—
924#121—48no—
925#121—48no—
926#121—84no—
927#121C2×D418yes—
928#120—216no—
929#120—216no—
930#120—216no—
931#120—216no—
932#120—216no—
933#120—48no—
934#120—48no—
935#120—84no—
936C4×Q8—28no—
937C4×Q8—28no—
938C4×Q8—28no—
939C4×Q8—28no—
940C4×Q8—28no—
941C4×Q8—28no—
942C4×Q8—28no—
943C4×Q8—24no—
944C4×Q8—28no—
945C4×Q8—82no—
946C4×Q8C2×D418yes—
947C4×D4—28no—
948C4×D4—28no—
949C4×D4—28no—
950C4×D4—28no—
951C4×D4—216no—
952C4×D4—28no—
953C4×D4—28no—
954C4×D4—216no—
955C4×D4—24no—
956C4×D4—28no—
957C4×D4—28no—
958C4×D4—28no—
959C4×D4—48no—
960C4×D4—48no—
961C4×D4—82no—
962C4×D4C2×D4116yes—
963C4×D4C2×D418yes—
964#117—28no—
965#117—28no—
966#117—28no—
967#117—28no—
968#117—28no—
969#117—28no—
970#117—44no—
971#117—44no—
972#117C2×D4116yes—
973C2×C4⋊C4—24no—
974C2×C4⋊C4—24no—
975C2×C4⋊C4—24no—
976C2×C4⋊C4—42no—
977C2×C4⋊C4—44no—
978C2×C4⋊C4—42no—
979C2×C4⋊C4C2411yescharacteristic
980C2×C4⋊C4C2411yescharacteristic
981C2×C4⋊C4C2412yes—
982C2×C4⋊C4C2412yes—
983C2×C4⋊C4C2412yes—
984C2×C4⋊C4C2412yes—
985C2×C4⋊C4C2412yes—
986C2×C4⋊C4C2412yes—
987C2×C4⋊C4C2411yescharacteristic
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2412yes—
990C2×C4⋊C4C2412yes—
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2412yes—
993C2×C4⋊C4C2412yes—
994C2×C4⋊C4C2412yes—
995C2×C4⋊C4C2412yes—
996C2×C4⋊C4C2412yes—
997C2×C4⋊C4C2412yes—
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2412yes—
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2412yes—
1002C2×C4⋊C4C2412yes—
1003C2×C4⋊C4C2414yes—
1004C2×C4⋊C4C2412yes—
1005C2×C4⋊C4C2414yes—
1006C2×C4⋊C4C2411yescharacteristic
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2414yes—
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2412yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2414yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2414yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2414yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C22⋊C4—28no—
1037C2×C22⋊C4—28no—
1038C2×C22⋊C4—28no—
1039C2×C22⋊C4—216no—
1040C2×C22⋊C4—48no—
1041C2×C22⋊C4—44no—
1042C2×C22⋊C4—82no—
1043C2×C22⋊C4—84no—
1044C2×C22⋊C4—82no—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2414yes—
1047C2×C22⋊C4C2414yes—
1048C2×C22⋊C4C2414yes—
1049C2×C22⋊C4C2414yes—
1050C2×C22⋊C4C2414yes—
1051C2×C22⋊C4C2414yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2412yes—
1055C2×C22⋊C4C2412yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2412yes—
1062C2×C22⋊C4C2412yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2412yes—
1065C2×C22⋊C4C2414yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2412yes—
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C42—24no—
1111C2×C42—24no—
1112C2×C42—28no—
1113C2×C42—28no—
1114C2×C42—82no—
1115C2×C42C2×D418yes—
1116C2×C42C2412yes—
1117C2×C42C2412yes—
1118C2×C42C2412yes—
1119C2×C42C2412yes—
1120C2×C42C2412yes—
1121C2×C42C2414yes—
1122C2×C42C2412yes—
1123C2×C42C2412yes—
1124C2×C42C2412yes—
1125C2×C42C2412yes—
1126C2×C42C2414yes—
1127C2×C42C2414yes—
1128C2×C42C2414yes—
1129C2×C42C2412yes—
1130C2×C42C2414yes—
1131C2×C42C2412yes—
1132C2×C42C2412yes—
1133C2×C42C2412yes—
1134C2×C42C2411yescharacteristic
1135C2×C42C2412yes—
1136C2×C42C2411yescharacteristic
1137C2×C42C2411yescharacteristic
1138C2×C42C2411yescharacteristic
1139#95C2412yes—
1140#95C2414yes—
1141#95C2414yes—
1142#95C2412yes—
1143#95C2412yes—
1144#95C2412yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2414yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171C24—24no—
1172C24—24no—
1173C24—24no—
1174C24—28no—
1175C24—42no—
1176C24—42no—
1177C24—42no—
1178C24—44no—
1179C24—42no—
1180C24—44no—
1181C24—44no—
1182C24—44no—
1183C24—44no—
1184C24—44no—
1185C24C2514yes—
1186C24C2514yes—
1187C24C2512yes—
1188C24C2512yes—
1189C24C2511yescharacteristic
1190#41—432no—
1191#41—816no—
1192#41—816no—
1193C2×Q8—24no—
1194C2×Q8—24no—
1195C2×Q8—24no—
1196C2×Q8—24no—
1197C2×Q8—22no—
1198C2×Q8—24no—
1199C2×Q8—24no—
1200C2×Q8—24no—
1201C2×Q8—24no—
1202C2×Q8—24no—
1203C2×Q8—24no—
1204C2×Q8—24no—
1205C2×Q8—24no—
1206C2×Q8—41no—
1207C2×Q8—42no—
1208C2×Q8—42no—
1209C2×Q8—41no—
1210C2×Q8—42no—
1211C2×Q8—41no—
1212C2×Q8—42no—
1213C2×Q8—42no—
1214C2×Q8—42no—
1215C2×Q8—42no—
1216C2×Q8—41no—
1217C2×Q8—42no—
1218C2×Q8—42no—
1219C2×Q8—416no—
1220C2×Q8—88no—
1221C2×Q8C22×D414yes—
1222C2×D4—24no—
1223C2×D4—24no—
1224C2×D4—24no—
1225C2×D4—24no—
1226C2×D4—28no—
1227C2×D4—24no—
1228C2×D4—28no—
1229C2×D4—24no—
1230C2×D4—28no—
1231C2×D4—24no—
1232C2×D4—28no—
1233C2×D4—28no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—28no—
1237C2×D4—24no—
1238C2×D4—22no—
1239C2×D4—24no—
1240C2×D4—24no—
1241C2×D4—28no—
1242C2×D4—28no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—24no—
1247C2×D4—24no—
1248C2×D4—41no—
1249C2×D4—41no—
1250C2×D4—42no—
1251C2×D4—44no—
1252C2×D4—42no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—44no—
1256C2×D4—44no—
1257C2×D4—42no—
1258C2×D4—42no—
1259C2×D4—41no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—44no—
1266C2×D4—42no—
1267C2×D4—41no—
1268C2×D4—44no—
1269C2×D4—44no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—44no—
1273C2×D4—44no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—44no—
1283C2×D4—88no—
1284C2×D4—816no—
1285C2×D4—832no—
1286C2×D4C22×D418yes—
1287C2×D4C22×D414yes—
1288C22×C4—22no—
1289C22×C4—22no—
1290C22×C4—22no—
1291C22×C4—22no—
1292C22×C4—22no—
1293C22×C4—22no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—22no—
1297C22×C4—24no—
1298C22×C4—22no—
1299C22×C4—22no—
1300C22×C4—22no—
1301C22×C4—22no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—24no—
1313C22×C4—28no—
1314C22×C4—28no—
1315C22×C4—28no—
1316C22×C4—41no—
1317C22×C4—41no—
1318C22×C4—42no—
1319C22×C4—42no—
1320C22×C4—42no—
1321C22×C4—42no—
1322C22×C4—41no—
1323C22×C4—42no—
1324C22×C4—41no—
1325C22×C4—42no—
1326C22×C4—42no—
1327C22×C4—44no—
1328C22×C4—42no—
1329C22×C4—44no—
1330C22×C4—42no—
1331C22×C4—41no—
1332C22×C4—42no—
1333C22×C4—41no—
1334C22×C4—44no—
1335C22×C4—42no—
1336C22×C4—42no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4C22×D414yes—
1344C22×C4C22×D418yes—
1345C22×C4C22×D414yes—
1346C22×C4C22×D414yes—
1347C22×C4H(5,𝔽2)14yes—
1348C22×C4C2512yes—
1349C22×C4C2514yes—
1350C22×C4C2512yes—
1351C22×C4C2512yes—
1352C22×C4C2514yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2514yes—
1357C22×C4C2512yes—
1358C22×C4C2514yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2511yescharacteristic
1363C22×C4C2512yes—
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2512yes—
1367C22×C4C2512yes—
1368C22×C4C2511yescharacteristic
1369C22×C4C2511yescharacteristic
1370C22×C4C2512yes—
1371C22×C4C2511yescharacteristic
1372C4⋊C4—24no—
1373C4⋊C4—24no—
1374C4⋊C4—24no—
1375C4⋊C4—24no—
1376C4⋊C4—24no—
1377C4⋊C4—24no—
1378C4⋊C4—24no—
1379C4⋊C4—24no—
1380C4⋊C4—24no—
1381C4⋊C4—24no—
1382C4⋊C4—24no—
1383C4⋊C4—24no—
1384C4⋊C4—24no—
1385C4⋊C4—24no—
1386C4⋊C4—24no—
1387C4⋊C4—24no—
1388C4⋊C4—24no—
1389C4⋊C4—24no—
1390C4⋊C4—28no—
1391C4⋊C4—24no—
1392C4⋊C4—22no—
1393C4⋊C4—24no—
1394C4⋊C4—28no—
1395C4⋊C4—24no—
1396C4⋊C4—22no—
1397C4⋊C4—24no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—28no—
1401C4⋊C4—28no—
1402C4⋊C4—22no—
1403C4⋊C4—22no—
1404C4⋊C4—22no—
1405C4⋊C4—22no—
1406C4⋊C4—24no—
1407C4⋊C4—24no—
1408C4⋊C4—44no—
1409C4⋊C4—42no—
1410C4⋊C4—42no—
1411C4⋊C4—42no—
1412C4⋊C4—42no—
1413C4⋊C4—42no—
1414C4⋊C4—44no—
1415C4⋊C4—42no—
1416C4⋊C4—44no—
1417C4⋊C4—44no—
1418C4⋊C4—44no—
1419C4⋊C4—44no—
1420C4⋊C4—44no—
1421C4⋊C4—44no—
1422C4⋊C4—44no—
1423C4⋊C4C22×D418yes—
1424C4⋊C4C22×D418yes—
1425C4⋊C4C22×D418yes—
1426C4⋊C4C22×D418yes—
1427C4⋊C4C22×D414yes—
1428C4⋊C4C22×D414yes—
1429C22⋊C4—28no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—24no—
1434C22⋊C4—24no—
1435C22⋊C4—28no—
1436C22⋊C4—28no—
1437C22⋊C4—28no—
1438C22⋊C4—28no—
1439C22⋊C4—28no—
1440C22⋊C4—28no—
1441C22⋊C4—24no—
1442C22⋊C4—24no—
1443C22⋊C4—24no—
1444C22⋊C4—24no—
1445C22⋊C4—24no—
1446C22⋊C4—24no—
1447C22⋊C4—28no—
1448C22⋊C4—28no—
1449C22⋊C4—28no—
1450C22⋊C4—28no—
1451C22⋊C4—28no—
1452C22⋊C4—24no—
1453C22⋊C4—24no—
1454C22⋊C4—28no—
1455C22⋊C4—28no—
1456C22⋊C4—28no—
1457C22⋊C4—28no—
1458C22⋊C4—44no—
1459C22⋊C4—44no—
1460C22⋊C4—44no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—44no—
1473C22⋊C4—44no—
1474C22⋊C4—44no—
1475C22⋊C4—44no—
1476C22⋊C4—44no—
1477C22⋊C4—44no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—44no—
1482C22⋊C4—44no—
1483C22⋊C4—44no—
1484C22⋊C4—44no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4C22×D418yes—
1490C22⋊C4C22×D418yes—
1491C22⋊C4C22×D418yes—
1492C22⋊C4C22×D418yes—
1493C22⋊C4C22×D418yes—
1494C42—24no—
1495C42—24no—
1496C42—24no—
1497C42—24no—
1498C42—24no—
1499C42—24no—
1500C42—24no—
1501C42—24no—
1502C42—24no—
1503C42—28no—
1504C42—42no—
1505C42—42no—
1506C42—42no—
1507C42—42no—
1508C42—44no—
1509C42—44no—
1510C42—44no—
1511C42—44no—
1512C42C22×D418yes—
1513C42C22×D414yes—
1514C42C22×D414yes—
1515C42C22×D414yes—
1516C42C22×D414yes—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—22no—
1527C23—22no—
1528C23—24no—
1529C23—24no—
1530C23—24no—
1531C23—24no—
1532C23—22no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—24no—
1537C23—24no—
1538C23—24no—
1539C23—24no—
1540C23—24no—
1541C23—24no—
1542C23—24no—
1543C23—24no—
1544C23—22no—
1545C23—24no—
1546C23—24no—
1547C23—22no—
1548C23—48no—
1549C23—84no—
1550C23—88no—
1551C23—88no—
1552C23—84no—
1553C23—84no—
1554C23—84no—
1555C23—84no—
1556C23—84no—
1557C23—88no—
1558C23—88no—
1559C23—88no—
1560C23—164no—
1561C23—164no—
1562C23C23×D414yes—
1563C23C23×D412yes—
1564C23C2×H(5,𝔽2)12yes—
1565C23#58512yes—
1566C23C2611yescharacteristic
1567Q8—44no—
1568Q8—48no—
1569Q8—48no—
1570Q8—48no—
1571Q8—48no—
1572Q8—82no—
1573Q8—84no—
1574Q8—84no—
1575Q8—84no—
1576D4—216no—
1577D4—44no—
1578D4—48no—
1579D4—416no—
1580D4—48no—
1581D4—48no—
1582D4—48no—
1583D4—82no—
1584D4—84no—
1585D4—88no—
1586D4—88no—
1587D4—88no—
1588D4—84no—
1589D4—84no—
1590D4—84no—
1591D4—88no—
1592D4—88no—
1593D4—88no—
1594D4—164no—
1595D4—164no—
1596D4—164no—
1597C2×C4—22no—
1598C2×C4—21no—
1599C2×C4—22no—
1600C2×C4—21no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—22no—
1607C2×C4—21no—
1608C2×C4—22no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—22no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—22no—
1615C2×C4—28no—
1616C2×C4—28no—
1617C2×C4—28no—
1618C2×C4—216no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—22no—
1623C2×C4—22no—
1624C2×C4—22no—
1625C2×C4—24no—
1626C2×C4—24no—
1627C2×C4—22no—
1628C2×C4—24no—
1629C2×C4—24no—
1630C2×C4—22no—
1631C2×C4—22no—
1632C2×C4—22no—
1633C2×C4—24no—
1634C2×C4—22no—
1635C2×C4—24no—
1636C2×C4—22no—
1637C2×C4—22no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—24no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—22no—
1644C2×C4—22no—
1645C2×C4—24no—
1646C2×C4—24no—
1647C2×C4—24no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—22no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—24no—
1654C2×C4—22no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—24no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—22no—
1661C2×C4—44no—
1662C2×C4—48no—
1663C2×C4—48no—
1664C2×C4—44no—
1665C2×C4—48no—
1666C2×C4—84no—
1667C2×C4—88no—
1668C2×C4—88no—
1669C2×C4—88no—
1670C2×C4—82no—
1671C2×C4—84no—
1672C2×C4—82no—
1673C2×C4—84no—
1674C2×C4—84no—
1675C2×C4—84no—
1676C2×C4—164no—
1677C2×C4C23×D412yes—
1678C2×C4C23×D414yes—
1679C2×C4C23×D414yes—
1680C2×C4C23×D414yes—
1681C2×C4C23×D412yes—
1682C2×C4C23×D412yes—
1683C2×C4C23×D412yes—
1684C2×C4C23×D412yes—
1685C2×C4C23×D412yes—
1686C2×C4C2×H(5,𝔽2)14yes—
1687C2×C4#58512yes—
1688C2×C4#58512yes—
1689C22—22no—
1690C22—22no—
1691C22—22no—
1692C22—22no—
1693C22—22no—
1694C22—22no—
1695C22—24no—
1696C22—24no—
1697C22—24no—
1698C22—42no—
1699C22—42no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22—44no—
1704C22—44no—
1705C22—42no—
1706C22—44no—
1707C22—44no—
1708C22—42no—
1709C22—44no—
1710C22—44no—
1711C22—42no—
1712C22—44no—
1713C22—44no—
1714C22—42no—
1715C22—44no—
1716C22—44no—
1717C22—42no—
1718C22—44no—
1719C22—44no—
1720C22—42no—
1721C22—44no—
1722C22—44no—
1723C22—168no—
1724C22—1616no—
1725C22#348814yes—
1726C22C24×D411yescharacteristic
1727C22C22×H(5,𝔽2)11yescharacteristic
1728C22C2×#58511yescharacteristic
1729C22C2×#58511yescharacteristic
1730C22C2×#58511yescharacteristic
1731C22H(7,𝔽2)11yescharacteristic
1732C222−1+611yescharacteristic
1733C4—24no—
1734C4—22no—
1735C4—22no—
1736C4—24no—
1737C4—24no—
1738C4—22no—
1739C4—22no—
1740C4—22no—
1741C4—24no—
1742C4—42no—
1743C4—42no—
1744C4—44no—
1745C4—42no—
1746C4—44no—
1747C4—42no—
1748C4—42no—
1749C4—42no—
1750C4—44no—
1751C4—42no—
1752C4—42no—
1753C4—44no—
1754C4—42no—
1755C4—42no—
1756C4#350014yes—
1757C2—24no—
1758C2—44no—
1759C2—82no—
1760C2—84no—
1761C2—84no—
1762C2C2×#348811yescharacteristic
1763C2C2×#350011yescharacteristic
1764C2#6285311yescharacteristic
1765C2#6296011yescharacteristic
1766C2#6296111yescharacteristic
1767C2#6296411yescharacteristic
1768C2#6296511yescharacteristic
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×#3558C2semidirect
2. C2×#3461C2semidirect
3. #51425C2semidirect
4. #51424C2semidirect
5. #47686C2semidirect
6. #47684C2semidirect
7. #44760C2semidirect
8. #43998C2semidirect
9. #39726C2semidirect
10. #39718C2semidirect
11. #39423C2semidirect
12. #39414C2semidirect
13. #39380C2semidirect
14. #39354C2semidirect
15. #38034C2semidirect
16. #38026C2semidirect
17. #38025C2semidirect
18. #38024C2semidirect
19. #37546C2semidirect
20. #37278C2semidirect
21. #37275C2semidirect
22. #36374C2semidirect
23. #36258C2semidirect
24. #35568C2semidirect
25. #35556C2semidirect
26. #35238C2semidirect
27. #35178C2semidirect
28. C2×#2592C2semidirect
29. #34243C2semidirect
37. C2×#546C22semidirect
40. C2×#544C22semidirect
42. C2×#542C22semidirect
43. C2×#542C22semidirect
44. C2×#541C22semidirect
45. C2×#541C22semidirect
47. C2×#539C22semidirect
48. C2×#539C22semidirect
52. C2×#536C22semidirect
53. C2×#536C22semidirect
56. C2×#533C22semidirect
57. C2×#533C22semidirect
60. C2×#529C22semidirect
61. C2×#529C22semidirect
62. C2×#529C22semidirect
63. C2×#529C22semidirect
65. C2×C4×#41C22semidirect
66. C22×C4×Q8C22semidirect
68. #2856C22semidirect
69. #2855C22semidirect
71. #2854C22semidirect
72. #2854C22semidirect
73. #2850C22semidirect
74. #2850C22semidirect
75. #2820C22semidirect
76. #2819C22semidirect
77. #2731C22semidirect
78. #2730C22semidirect
79. #2721C22semidirect
80. #2716C22semidirect
81. #2715C22semidirect
82. #2714C22semidirect
83. #2714C22semidirect
84. #2712C22semidirect
85. #2711C22semidirect
86. #2711C22semidirect
87. #2707C22semidirect
88. #2707C22semidirect
89. #2707C22semidirect
90. #2705C22semidirect
91. #2704C22semidirect
92. #2703C22semidirect
93. #2702C22semidirect
94. #2700C22semidirect
95. #2697C22semidirect
96. #2696C22semidirect
97. #2691C22semidirect
98. #2690C22semidirect
99. #2687C22semidirect
100. #2685C22semidirect
101. #2685C22semidirect
102. #2681C22semidirect
103. #2681C22semidirect
104. #2681C22semidirect
105. #2680C22semidirect
106. #2678C22semidirect
107. #2678C22semidirect
108. #2677C22semidirect
109. #2676C22semidirect
110. #2676C22semidirect
111. #2674C22semidirect
112. #2674C22semidirect
113. #2673C22semidirect
114. #2670C22semidirect
115. #2670C22semidirect
116. #2669C22semidirect
117. #2662C22semidirect
118. #2662C22semidirect
119. #2626C22semidirect
120. #2625C22semidirect
122. #2620C22semidirect
123. #2620C22semidirect
124. #2620C22semidirect
126. #2618C22semidirect
127. #2618C22semidirect
128. #2617C22semidirect
129. #2592C22semidirect
130. #2592C22semidirect
131. #2592C22semidirect
132. #2592C22semidirect
133. #2592C22semidirect
134. #2592C22semidirect
135. #2592C22semidirect
136. #2592C22semidirect
137. #2592C22semidirect
138. #2582C22semidirect
139. #2581C22semidirect
140. #2580C22semidirect
141. #2567C22semidirect
142. #2566C22semidirect
143. #2563C22semidirect
144. #2560C22semidirect
145. #2558C22semidirect
146. #2558C22semidirect
147. #2557C22semidirect
148. #2554C22semidirect
149. #2554C22semidirect
150. #2553C22semidirect
153. #2548C22semidirect
154. #2548C22semidirect
155. #2546C22semidirect
156. #2545C22semidirect
157. #2545C22semidirect
158. #2544C22semidirect
159. #2543C22semidirect
160. #2541C22semidirect
161. #2540C22semidirect
162. #2539C22semidirect
163. #2538C22semidirect
164. #2538C22semidirect
165. #2538C22semidirect
166. #2536C22semidirect
167. #2534C22semidirect
168. #2519C22semidirect
169. #2491C22semidirect
170. #2491C22semidirect
171. #2491C22semidirect
172. #2490C22semidirect
173. #2490C22semidirect
174. #2480C22semidirect
175. #2477C22semidirect
176. #2474C22semidirect
177. #2472C22semidirect
178. #2472C22semidirect
179. #2472C22semidirect
180. #2472C22semidirect
181. #2472C22semidirect
182. #2472C22semidirect
183. #2465C22semidirect
184. #2464C22semidirect
185. #2463C22semidirect
186. #2461C22semidirect
187. #2460C22semidirect
188. #2459C22semidirect
189. #2452C22semidirect
190. #2452C22semidirect
191. #2450C22semidirect
192. #2444C22semidirect
193. #2437C22semidirect
194. #2430C22semidirect
195. #2430C22semidirect
196. #2427C22semidirect
197. #2426C22semidirect
198. #2426C22semidirect
199. #2425C22semidirect
200. #2425C22semidirect
201. #2424C22semidirect
202. #2424C22semidirect
203. #2424C22semidirect
204. #2417C22semidirect
206. #2416C22semidirect
207. #2416C22semidirect
208. #2415C22semidirect
210. #2414C22semidirect
211. #2412C22semidirect
212. #2411C22semidirect
213. #2411C22semidirect
214. #2411C22semidirect
215. #2410C22semidirect
216. #2409C22semidirect
218. #2408C22semidirect
219. #2408C22semidirect
220. #2407C22semidirect
221. #2407C22semidirect
222. #2405C22semidirect
223. C2×#397C22semidirect
224. C2×#393C22semidirect
225. #2370C22semidirect
226. #2367C22semidirect
227. #2364C22semidirect
228. #2359C22semidirect
229. #2359C22semidirect
230. #2355C22semidirect
231. #2354C22semidirect
232. #2352C22semidirect
233. Q8×C4⋊C4C22semidirect
234. D4×C4⋊C4C22semidirect
235. D4×C4⋊C4C22semidirect
236. D4×C22⋊C4C22semidirect
237. #2334C22semidirect
238. #2324C22semidirect
239. #2324C22semidirect
240. #2324C22semidirect
241. #2323C22semidirect
242. #2314C22semidirect
243. #2311C22semidirect
244. #2311C22semidirect
245. #2309C22semidirect
246. C4×C22⋊Q8C22semidirect
247. C4×C22⋊Q8C22semidirect
249. C4×#121C22semidirect
250. #2297C22semidirect
251. C2×#391C22semidirect
252. C2×#391C22semidirect
255. C2×#390C22semidirect
256. C2×#388C22semidirect
257. C2×#388C22semidirect
258. #2285C22semidirect
259. #2274C22semidirect
260. C2×C4×C4⋊C4C22semidirect
309. #529D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35582
C2×#34612
#514252
#514242
#476862
#476842
#447602
#439982
#397262
#397182
#394232
#394142
#393802
#393542
#380342
#380262
#380252
#380242
#375462
#372782
#372752
#363742
#362582
#355682
#355562
#352382
#351782
C2×#25922
#342432