Finite Group Databasebeta

← #7647017

Subgroups — #7647017

Order 512.

7113 conjugacy classes of subgroups.

The subgroup lattice has 1930 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3482C211yesmaximal, characteristic, complemented
2C22×#542C211yesmaximal, characteristic, complemented
3#42805C212yesmaximal, complemented
4#42804C212yesmaximal, complemented
5#42799C212yesmaximal, complemented
6#42798C212yesmaximal, complemented
7#41943C214yesmaximal, complemented
8#41942C214yesmaximal, complemented
9#39467C211yesmaximal, characteristic, complemented
10#39465C211yesmaximal, characteristic, complemented
11#39339C211yesmaximal, characteristic, complemented
12#39337C211yesmaximal, characteristic, complemented
13#39135C211yesmaximal, characteristic, complemented
14#39133C211yesmaximal, characteristic, complemented
15#39123C211yesmaximal, characteristic, complemented
16#39121C211yesmaximal, characteristic, complemented
17#37843C212yesmaximal, complemented
18#37841C212yesmaximal, complemented
19#37655C212yesmaximal, complemented
20#37653C212yesmaximal, complemented
21#37606C212yesmaximal, complemented
22#37538C212yesmaximal, complemented
23#37260C214yesmaximal, complemented
24#37189C214yesmaximal, complemented
25#35573C212yesmaximal, complemented
26#35572C212yesmaximal, complemented
27#35327C212yesmaximal, complemented
28#35302C211yesmaximal, characteristic, complemented
29#35243C212yesmaximal, complemented
30#35233C211yesmaximal, characteristic, complemented
31#35195C212yesmaximal, complemented
32#35143C212yesmaximal, complemented
33#34935C211yesmaximal, characteristic, complemented
34#34875C211yesmaximal, characteristic, complemented
35#34196C211yesmaximal, characteristic, complemented
36#3482—216no—
37C2×#557C2211yescharacteristic, complemented
38C2×#556C2211yescharacteristic, complemented
39C2×#556C2212yescomplemented
40C2×#552C2211yescharacteristic
41C2×#552C2212yes—
42C2×#552C2211yescharacteristic, complemented
43C2×#552C2212yescomplemented
44C2×D4×Q8C2211yescharacteristic
45C2×#548C2211yescharacteristic
46C2×#548C2211yescharacteristic, complemented
47C2×#547C2212yes—
48C2×#547C2211yescharacteristic
49C2×#542—216no—
50C2×#542C2212yes—
51C2×#542C2212yes—
52C2×#542C2214yes—
53C2×#542C2212yes—
54C2×#542C2214yes—
55C2×#542C2212yes—
56C2×#536C2212yes—
57C2×#535C2212yes—
58C2×#533C2212yescomplemented
59C2×#533C2211yescharacteristic, complemented
60C22×C4⋊Q8C2211yescharacteristic
61C2×#529C2211yescharacteristic
62C2×#529C2212yes—
63C2×#529C2212yescomplemented
64C2×#529C2211yescharacteristic, complemented
65C22×#126C2212yes—
66C22×#124C2211yescharacteristic
67C22×#124C2212yes—
68C2×#525C2212yes—
69C22×#123C2212yes—
70C22×C22⋊Q8C2212yes—
71C22×C22⋊Q8C2211yescharacteristic
72C22×#121C2211yescharacteristic
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2212yes—
75C2×C4×#41C2211yescharacteristic, complemented
76C22×C4×Q8C2211yescharacteristic
77C22×C4×Q8C2211yescharacteristic, complemented
78C22×C4×D4C2211yescharacteristic
79C22×#117C2211yescharacteristic
80#2855C2211yescharacteristic
81#2854C2211yescharacteristic
82#2852C2214yescomplemented
83#2852C2214yescomplemented
84#2850C2214yescomplemented
85#2850C2214yescomplemented
86#2849C2212yes—
87#2849C2212yes—
88#2848C2211yescharacteristic
89#2847C2211yescharacteristic
90#2823C2214yescomplemented
91#2823C2214yescomplemented
92#2820C2214yescomplemented
93#2819C2214yescomplemented
94#2733C2214yescomplemented
95#2732C2214yescomplemented
96#2731C2214yescomplemented
97#2730C2214yescomplemented
98#2730C2214yescomplemented
99#2730C2214yescomplemented
100#2729C2214yescomplemented
101#2728C2214yescomplemented
102#2716C2214yescomplemented
103#2714C2214yes—
104#2713C2214yescomplemented
105#2711C2214yes—
106#2707C2214yescomplemented
107#2705C2214yescomplemented
108#2704C2214yescomplemented
109#2702C2214yescomplemented
110#2696C2214yescomplemented
111#2694C2214yescomplemented
112#2692C2214yescomplemented
113#2690C2214yescomplemented
114#2683C2214yescomplemented
115#2682C2214yescomplemented
116#2681C2214yescomplemented
117#2681C2214yescomplemented
118#2677C2214yescomplemented
119#2677C2214yescomplemented
120#2676C2214yes—
121#2676C2214yescomplemented
122#2674C2214yescomplemented
123#2674C2214yescomplemented
124#2673C2214yes—
125#2673C2214yescomplemented
126#2664C2214yescomplemented
127#2662C2214yescomplemented
128#2662C2214yescomplemented
129#2662C2214yescomplemented
130#2637C2214yescomplemented
131#2637C2214yescomplemented
132#2636C2214yescomplemented
133#2636C2214yescomplemented
134#2636C2214yescomplemented
135#2632C2214yescomplemented
136#2631C2214yescomplemented
137#2629C2212yescomplemented
138#2627C2212yes—
139#2626C2212yes—
140#2620C2214yescomplemented
141#2620C2212yescomplemented
142#2620C2214yescomplemented
143#2618C2212yes—
144#2617C2212yes—
145#2614C2212yes—
146#2614C2212yes—
147#2613C2212yes—
148#2613C2212yes—
149#2610C2214yescomplemented
150#2610C2214yescomplemented
151#2609C2212yescomplemented
152#2609C2212yescomplemented
153#2609C2214yescomplemented
154#2604C2214yescomplemented
155#2603C2214yescomplemented
156#2601C2214yescomplemented
157#2601C2214yescomplemented
158#2601C2214yescomplemented
159#2601C2214yescomplemented
160#2601C2214yescomplemented
161#2599C2212yescomplemented
162#2598C2212yescomplemented
163#2598C2214yescomplemented
164#2579C2211yescharacteristic
165#2579C2211yescharacteristic
166#2579C2212yes—
167#2566C2212yescomplemented
168#2561C2212yes—
169#2561C2212yes—
170#2560C2214yescomplemented
171#2558C2214yescomplemented
172#2556C2214yescomplemented
173#2554C2214yescomplemented
174#2551C2212yescomplemented
175#2550C2212yescomplemented
176#2548C2212yescomplemented
177#2545C2212yescomplemented
178#2545C2214yescomplemented
179#2545C2214yescomplemented
180#2544C2212yescomplemented
181#2544C2214yescomplemented
182#2544C2214yescomplemented
183#2541C2212yes—
184#2540C2212yes—
185#2539C2212yes—
186#2539C2212yes—
187#2538C2212yescomplemented
188#2538C2212yescomplemented
189#2537C2212yescomplemented
190#2536C2212yescomplemented
191#2536C2212yescomplemented
192#2535C2212yescomplemented
193#2534C2212yes—
194#2534C2212yes—
195#2534C2211yescharacteristic
196#2534C2211yescharacteristic
197#2534C2212yes—
198#2534C2212yes—
199#2534C2212yes—
200#2534C2212yes—
201#2534C2212yes—
202#2534C2212yes—
203#2534C2212yes—
204#2503C2211yescharacteristic
205#2501C2211yescharacteristic
206#2492C2212yescomplemented
207#2491C2212yes—
208#2491C2212yescomplemented
209#2490C2212yes—
210#2486C2211yescharacteristic
211#2486C2211yescharacteristic
212#2484C2212yes—
213#2484C2211yescharacteristic
214#2482C2212yes—
215#2482C2211yescharacteristic
216#2477C2214yescomplemented
217#2471C2214yescomplemented
218#2465C2214yescomplemented
219#2463C2214yescomplemented
220#2461C2214yescomplemented
221#2461C2214yescomplemented
222#2458C2214yescomplemented
223#2456C2214yescomplemented
224#2452C2214yescomplemented
225#2452C2212yescomplemented
226#2451C2212yescomplemented
227#2449C2214yescomplemented
228#2448C2212yescomplemented
229#2448C2212yescomplemented
230#2445C2214yescomplemented
231#2443C2214yescomplemented
232#2440C2212yescomplemented
233#2439C2212yescomplemented
234#2436C2212yescomplemented
235#2435C2211yescharacteristic
236#2433C2211yescharacteristic
237#2431C2212yescomplemented
238#2429C2212yescomplemented
239#2428C2212yes—
240#2426C2212yes—
241#2426C2212yescomplemented
242#2426C2212yescomplemented
243#2426C2212yescomplemented
244#2423C2212yescomplemented
245#2421C2212yescomplemented
246#2416C2212yes—
247#2414C2212yes—
248#2413C2212yes—
249#2413C2212yes—
250#2413C2212yes—
251#2411C2212yes—
252#2411C2212yes—
253#2411C2212yes—
254#2409C2212yescomplemented
255#2408C2211yescharacteristic
256#2408C2211yescharacteristic
257#2407C2212yescomplemented
258#2406C2211yescharacteristic
259#2406C2212yes—
260#2404C2212yes—
261#2404C2211yescharacteristic
262#2396C2212yescomplemented
263#2392C2212yescomplemented
264#2392C2212yescomplemented
265#2392C2212yescomplemented
266#2355C2212yescomplemented
267#2355C2214yescomplemented
268Q8×C4⋊C4C2212yescomplemented
269#2344C2212yes—
270#2344C2212yes—
271#2344C2211yescharacteristic
272#2344C2211yescharacteristic
273Q8×C22⋊C4C2211yescharacteristic
274Q8×C22⋊C4C2211yescharacteristic
275#2328C2212yescomplemented
276#2326C2212yescomplemented
277#2324C2212yescomplemented
278#2323C2212yescomplemented
279#2322C2212yes—
280#2322C2212yes—
281#2321C2212yes—
282#2321C2212yes—
283#2320C2214yescomplemented
284#2320C2212yescomplemented
285#2310C2212yes—
286#2309C2212yes—
287C4×#123C2211yescharacteristic
288C4×#123C2211yescharacteristic
289C4×#121C2212yescomplemented
290C4×#121C2212yescomplemented
291C4×#120C2211yescharacteristic
292C4×#120C2211yescharacteristic
293#2290C2212yescomplemented
294#2290C2212yescomplemented
295#2285C2211yescharacteristic
296#2285C2212yes—
297#2283C2211yescharacteristic
298#2283C2212yes—
299#2280C2212yes—
300#2276C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2312yes—
303C22×#41C2311yescharacteristic
304C23×Q8C2312yes—
305C23×Q8C2311yescharacteristic
306C23×Q8C2311yescharacteristic
307C23×D4C2312yes—
308C23×D4C2311yescharacteristic
309C24×C4C2311yescharacteristic
310C24×C4C2312yes—
311#557—28no—
312#556—28no—
313#556—216no—
314#552—28no—
315#552—216no—
316#552—28no—
317#552—216no—
318D4×Q8—28no—
319#548—28no—
320#548—28no—
321#547—28no—
322#547—216no—
323#542—216no—
324#542—232no—
325#542—216no—
326#542—216no—
327#542—216no—
328#542—232no—
329#536—48no—
330#535—48no—
331#533—216no—
332#533—28no—
333C2×C4⋊Q8—28no—
334C2×C4⋊Q8C2314yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2312yes—
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2312yes—
341C2×C4⋊Q8C2314yes—
342C2×#127C2312yes—
343C2×#127C2314yes—
344#529—216no—
345#529—28no—
346#529—28no—
347#529—216no—
348C2×#126—216no—
349C2×#126C2312yes—
350C2×#126C2314yes—
351C2×#126C2312yes—
352C2×#126C2312yes—
353C2×#126C2314yes—
354C2×#126C2314yes—
355C2×#126C2312yes—
356C2×#126C2314yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#125C2312yes—
360C2×#125C2311yescharacteristic
361C2×#125C2312yes—
362C2×#125C2311yescharacteristic
363C2×#125C2312yes—
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#124—28no—
367C2×#124—216no—
368C2×#124C2312yes—
369C2×#124C2314yes—
370C2×#124C2314yes—
371C2×#124C2314yes—
372C2×#124C2314yes—
373C2×#124C2311yescharacteristic
374C2×#124C2312yes—
375C2×#124C2312yes—
376C2×#124C2314yes—
377C2×#124C2311yescharacteristic
378C2×#124C2312yes—
379C2×#124C2312yes—
380C2×#124C2314yes—
381C2×#124C2314yes—
382#525—48no—
383C2×#123—216no—
384C2×#123C2312yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2311yescharacteristic
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2312yes—
397C2×#123C2312yes—
398C2×#123C2312yes—
399C2×#123C2311yescharacteristic
400C2×#123C2312yes—
401C2×C22⋊Q8—28no—
402C2×C22⋊Q8—216no—
403C2×C22⋊Q8C2314yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2311yescharacteristic
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2314yes—
408C2×C22⋊Q8C2314yes—
409C2×C22⋊Q8C2312yes—
410C2×C22⋊Q8C2314yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2311yescharacteristic
413C2×C22⋊Q8C2312yes—
414C2×C22⋊Q8C2312yes—
415C2×C22⋊Q8C2312yes—
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2312yes—
418C2×C22⋊Q8C2312yes—
419C2×C22⋊Q8C2312yes—
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2312yes—
422C2×C22⋊Q8C2314yes—
423C2×C22⋊Q8C2314yes—
424C2×C22⋊Q8C2314yes—
425C2×#121—28no—
426C2×#121C2311yescharacteristic
427C2×#121C2312yes—
428C2×#121C2312yes—
429C2×#121C2314yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2311yescharacteristic
433C2×#121C2312yes—
434C2×#121C2314yes—
435C2×#121C2314yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2314yes—
439C2×#120C2312yes—
440C2×#120C2311yescharacteristic
441C2×#120C2312yes—
442C2×#120C2312yes—
443C2×#120C2312yes—
444C2×#120C2311yescharacteristic
445C2×#120C2312yes—
446C4×#41—28no—
447C4×#41—28no—
448C4×#41—216no—
449C2×C4×Q8—28no—
450C2×C4×Q8D4116yescomplemented
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2312yes—
455C2×C4×Q8C2312yes—
456C2×C4×Q8C2311yescharacteristic
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2312yes—
462C2×C4×Q8C2312yes—
463C2×C4×Q8C2311yescharacteristic
464C2×C4×Q8C2312yes—
465C2×C4×Q8C2311yescharacteristic
466C2×C4×Q8C2311yescharacteristic
467C2×C4×Q8C2312yes—
468C2×C4×Q8C2311yescharacteristic
469C2×C4×D4—28no—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2312yes—
478C2×C4×D4C2312yes—
479C2×C4×D4C2311yescharacteristic
480C2×C4×D4C2312yes—
481C2×C4×D4C2312yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2311yescharacteristic
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2314yes—
492C2×C4×D4C2314yes—
493C2×#117—28no—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2311yescharacteristic
504C2×#117C2311yescharacteristic
505C2×#117C2312yes—
506C2×#117C2311yescharacteristic
507C2×#117C2311yescharacteristic
508C2×#117C2312yes—
509C2×#117C2312yes—
510C2×#117C2312yes—
511C2×#117C2312yes—
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2311yescharacteristic
514C22×C4⋊C4C2311yescharacteristic
515C22×C4⋊C4C2311yescharacteristic
516C22×C4⋊C4C2311yescharacteristic
517C22×C4⋊C4C2312yes—
518C22×C4⋊C4C2312yes—
519C22×C4⋊C4C2311yescharacteristic
520C22×C4⋊C4C2312yes—
521C22×C22⋊C4C2312yes—
522C22×C22⋊C4C2312yes—
523C22×C22⋊C4C2312yes—
524C22×C22⋊C4C2311yescharacteristic
525C22×C22⋊C4C2311yescharacteristic
526C22×C22⋊C4C2312yes—
527C22×C22⋊C4C2312yes—
528C22×C42C2312yes—
529C22×C42C2312yes—
530C22×C42C2311yescharacteristic
531C22×C42C2311yescharacteristic
532C22×C42C2311yescharacteristic
533C22×C42C2311yescharacteristic
534C22×C42C2312yes—
535#400C2314yes—
536#400C2312yes—
537#400C2314yes—
538#400C2314yes—
539#399C2314yes—
540#399C2314yes—
541#399C2314yes—
542#399C2312yes—
543#399C2314yes—
544#399C2314yes—
545#398C2314yes—
546#398C2312yes—
547#398C2314yes—
548#398C2314yes—
549#398C2314yes—
550#398C2314yes—
551#398C2312yes—
552#398C2312yes—
553#398C2314yes—
554#398C2314yes—
555#398C2314yes—
556#398C2312yes—
557#398C2312yes—
558#397C2314yes—
559#397C2314yes—
560#397C2314yes—
561#397C2312yes—
562#397C2314yes—
563#397C2312yes—
564#397C2312yes—
565#396C2312yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2312yes—
571#396C2314yes—
572#396C2314yes—
573#396C2314yes—
574#396C2314yes—
575#396C2314yes—
576#396C2314yes—
577#396C2314yes—
578#396C2314yes—
579#396C2314yes—
580#396C2312yes—
581#396C2314yes—
582#396C2312yes—
583#396C2314yes—
584#396C2314yes—
585#396C2314yes—
586#396C2314yes—
587#396C2314yes—
588#396C2314yes—
589#395C2314yes—
590#395C2314yes—
591#395C2312yes—
592#395C2314yes—
593#395C2314yes—
594#395C2314yes—
595#395C2314yes—
596#394C2314yes—
597#394C2312yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2314yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2312yes—
610#394C2314yes—
611#394C2314yes—
612#394C2312yes—
613#394C2314yes—
614#394C2314yes—
615#394C2314yes—
616#394C2314yes—
617#394C2314yes—
618#394C2314yes—
619#394C2314yes—
620#394C2312yes—
621#394C2312yes—
622#393C2314yes—
623#393C2314yes—
624#393C2314yes—
625#393C2314yes—
626#393C2312yes—
627#393C2314yes—
628#393C2314yes—
629#393C2314yes—
630#393C2314yes—
631#392C2314yes—
632#392C2314yes—
633#392C2314yes—
634#392C2314yes—
635#392C2314yes—
636#392C2312yes—
637#392C2314yes—
638#392C2314yes—
639#392C2314yes—
640#392C2314yes—
641#392C2312yes—
642#392C2312yes—
643#391C2314yes—
644#391C2314yes—
645#391C2314yes—
646#391C2314yes—
647#391C2312yes—
648#391C2312yes—
649#391C2314yes—
650#391C2314yes—
651#391C2312yes—
652#391C2312yes—
653#390C2314yes—
654#390C2314yes—
655#390C2314yes—
656#390C2314yes—
657#390C2314yes—
658#390C2312yes—
659#390C2312yes—
660#390C2314yes—
661#390C2314yes—
662#390C2312yes—
663#390C2314yes—
664#390C2312yes—
665#390C2314yes—
666#390C2314yes—
667#390C2314yes—
668#390C2314yes—
669#390C2314yes—
670#390C2312yes—
671#390C2312yes—
672#389C2312yes—
673#389C2312yes—
674#389C2314yes—
675#389C2314yes—
676#389C2314yes—
677#389C2314yes—
678#389C2312yes—
679#389C2314yes—
680#389C2312yes—
681#389C2314yes—
682#389C2314yes—
683#389C2312yes—
684#389C2312yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2314yes—
700#388C2312yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2312yes—
709#388C2312yes—
710#388C2314yes—
711#388C2312yes—
712#388C2314yes—
713#388C2314yes—
714#388C2314yes—
715#388C2314yes—
716#388C2314yes—
717#388C2312yes—
718#388C2312yes—
719#387C2312yes—
720#387C2314yes—
721#387C2314yes—
722#387C2314yes—
723#387C2314yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2312yes—
730#387C2312yes—
731#387C2314yes—
732#387C2314yes—
733#387C2312yes—
734#387C2312yes—
735#387C2314yes—
736#387C2312yes—
737#386C2314yes—
738#386C2311yescharacteristic
739#386C2312yes—
740#386C2314yes—
741#386C2314yes—
742#386C2311yescharacteristic
743#386C2312yes—
744#386C2311yescharacteristic
745#386C2311yescharacteristic
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2312yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2312yes—
762#386C2312yes—
763#386C2312yes—
764#386C2314yes—
765#386C2312yes—
766#386C2312yes—
767#385C2314yes—
768#385C2314yes—
769#385C2311yescharacteristic
770#385C2312yes—
771#385C2311yescharacteristic
772#385C2312yes—
773#385C2314yes—
774#385C2314yes—
775#385C2314yes—
776#385C2312yes—
777#385C2312yes—
778#385C2311yescharacteristic
779#385C2311yescharacteristic
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2312yes—
786#385C2312yes—
787#385C2312yes—
788#385C2312yes—
789#384C2312yes—
790#384C2314yes—
791#384C2312yes—
792#383C2314yes—
793#383C2312yes—
794#382C2314yes—
795#382C2312yes—
796#382C2314yes—
797#382C2312yes—
798#382C2312yes—
799#381C2311yescharacteristic
800#381C2312yes—
801#381C2312yes—
802#381C2312yes—
803#381C2311yescharacteristic
804#381C2312yes—
805#381C2312yes—
806#381C2311yescharacteristic
807#381C2311yescharacteristic
808#381C2312yes—
809#381C2312yes—
810#380C2312yes—
811#380C2311yescharacteristic
812#380C2311yescharacteristic
813#380C2312yes—
814#380C2312yes—
815#380C2311yescharacteristic
816#380C2311yescharacteristic
817#380C2312yes—
818#380C2312yes—
819#380C2312yes—
820#380C2312yes—
821#380C2314yes—
822#380C2314yes—
823#379C2311yescharacteristic
824#379C2312yes—
825#379C2312yes—
826#379C2312yes—
827#379C2311yescharacteristic
828#379C2312yes—
829#379C2312yes—
830C4×C4⋊C4C2314yes—
831C4×C4⋊C4C2312yes—
832C4×C4⋊C4C2312yes—
833C4×C4⋊C4C2314yes—
834C4×C4⋊C4C2314yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2314yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2314yes—
840C4×C4⋊C4C2312yes—
841C4×C4⋊C4C2312yes—
842C4×C22⋊C4C2314yes—
843C4×C22⋊C4C2312yes—
844C4×C22⋊C4C2312yes—
845C4×C22⋊C4C2311yescharacteristic
846C4×C22⋊C4C2311yescharacteristic
847C4×C22⋊C4C2312yes—
848C4×C22⋊C4C2312yes—
849C4×C22⋊C4C2314yes—
850C4×C22⋊C4C2312yes—
851C4×C22⋊C4C2312yes—
852#376C2312yes—
853#376C2314yes—
854C25C2412yes—
855C25C2411yescharacteristic
856C2×#41—24no—
857C2×#41—24no—
858C2×#41—28no—
859C2×#41—24no—
860C2×#41—28no—
861C2×#41—42no—
862C2×#41—44no—
863C2×#41—44no—
864C22×Q8—24no—
865C22×Q8—28no—
866C22×Q8—44no—
867C22×Q8—44no—
868C22×Q8—44no—
869C22×Q8—44no—
870C22×Q8C2×D418yes—
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2412yes—
874C22×Q8C2411yescharacteristic
875C22×Q8C2411yescharacteristic
876C22×Q8C2412yes—
877C22×Q8C2414yes—
878C22×Q8C2414yes—
879C22×Q8C2412yes—
880C22×D4—24no—
881C22×D4—28no—
882C22×D4—44no—
883C22×D4—44no—
884C22×D4—44no—
885C22×D4C2412yes—
886C22×D4C2411yescharacteristic
887C22×D4C2412yes—
888C22×D4C2411yescharacteristic
889C22×D4C2411yescharacteristic
890C22×D4C2412yes—
891C22×D4C2411yescharacteristic
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2414yes—
895C22×D4C2412yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2412yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C23×C4—24no—
904C23×C4—28no—
905C23×C4—44no—
906C23×C4—44no—
907C23×C4—44no—
908C23×C4C2411yescharacteristic
909C23×C4C2412yes—
910C23×C4C2411yescharacteristic
911C23×C4C2412yes—
912C23×C4C2411yescharacteristic
913C23×C4C2411yescharacteristic
914C23×C4C2412yes—
915C23×C4C2411yescharacteristic
916C23×C4C2412yes—
917C23×C4C2411yescharacteristic
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2411yescharacteristic
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2414yes—
928C23×C4C2411yescharacteristic
929C23×C4C2414yes—
930C23×C4C2412yes—
931C23×C4C2411yescharacteristic
932C4⋊Q8—24no—
933C4⋊Q8—28no—
934C4⋊Q8—28no—
935C4⋊Q8—28no—
936C4⋊Q8—216no—
937C4⋊Q8—24no—
938C4⋊Q8—28no—
939C4⋊Q8—48no—
940#127—44no—
941#127—48no—
942#126—28no—
943#126—28no—
944#126—28no—
945#126—216no—
946#126—216no—
947#126—216no—
948#126—216no—
949#126—28no—
950#126—28no—
951#126—28no—
952#125—24no—
953#125—28no—
954#125—28no—
955#125—28no—
956#125—28no—
957#125—24no—
958#125—28no—
959#124—28no—
960#124—28no—
961#124—216no—
962#124—24no—
963#124—28no—
964#124—216no—
965#124—216no—
966#124—216no—
967#124—216no—
968#124—24no—
969#124—28no—
970#124—44no—
971#124—48no—
972#124—48no—
973#123—28no—
974#123—24no—
975#123—28no—
976#123—28no—
977#123—28no—
978#123—216no—
979#123—216no—
980#123—216no—
981#123—216no—
982#123—28no—
983#123—28no—
984#123—28no—
985#123—42no—
986#123—44no—
987#123—44no—
988#123—44no—
989#123—44no—
990C22⋊Q8—28no—
991C22⋊Q8—28no—
992C22⋊Q8—216no—
993C22⋊Q8—24no—
994C22⋊Q8—28no—
995C22⋊Q8—24no—
996C22⋊Q8—28no—
997C22⋊Q8—24no—
998C22⋊Q8—28no—
999C22⋊Q8—216no—
1000C22⋊Q8—216no—
1001C22⋊Q8—216no—
1002C22⋊Q8—216no—
1003C22⋊Q8—28no—
1004C22⋊Q8—28no—
1005C22⋊Q8—28no—
1006C22⋊Q8—24no—
1007C22⋊Q8—28no—
1008C22⋊Q8—48no—
1009C22⋊Q8—48no—
1010C22⋊Q8—48no—
1011C22⋊Q8—44no—
1012#121—24no—
1013#121—28no—
1014#121—28no—
1015#121—28no—
1016#121—216no—
1017#121—24no—
1018#121—28no—
1019#121—48no—
1020#121—48no—
1021#121—44no—
1022#121—44no—
1023#121—44no—
1024#121—48no—
1025#120—28no—
1026#120—24no—
1027#120—44no—
1028#120—42no—
1029#120—44no—
1030#120—44no—
1031#120—44no—
1032C4×Q8—24no—
1033C4×Q8—24no—
1034C4×Q8—24no—
1035C4×Q8—28no—
1036C4×Q8—24no—
1037C4×Q8—28no—
1038C4×Q8—24no—
1039C4×Q8—28no—
1040C4×Q8—24no—
1041C4×Q8—28no—
1042C4×Q8—44no—
1043C4×Q8—44no—
1044C4×Q8C2×D418yes—
1045C4×Q8C2×D418yes—
1046C4×Q8C2×D4116yes—
1047C4×Q8C2×D418yes—
1048C4×Q8C2×D4116yes—
1049C4×Q8C2×D418yes—
1050C4×D4—24no—
1051C4×D4—24no—
1052C4×D4—28no—
1053C4×D4—24no—
1054C4×D4—28no—
1055C4×D4—24no—
1056C4×D4—28no—
1057C4×D4—24no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—28no—
1061C4×D4—28no—
1062C4×D4—28no—
1063C4×D4—24no—
1064C4×D4—28no—
1065C4×D4—24no—
1066C4×D4—28no—
1067C4×D4—24no—
1068C4×D4—28no—
1069C4×D4—44no—
1070C4×D4—44no—
1071C4×D4—48no—
1072C4×D4—48no—
1073#117—24no—
1074#117—28no—
1075#117—24no—
1076#117—28no—
1077#117—28no—
1078#117—28no—
1079#117—28no—
1080#117—28no—
1081#117—24no—
1082#117—28no—
1083#117—24no—
1084#117—28no—
1085#117—28no—
1086#117—28no—
1087#117—28no—
1088#117—44no—
1089#117—44no—
1090#117—44no—
1091C2×C4⋊C4—24no—
1092C2×C4⋊C4—24no—
1093C2×C4⋊C4—24no—
1094C2×C4⋊C4—28no—
1095C2×C4⋊C4—28no—
1096C2×C4⋊C4—24no—
1097C2×C4⋊C4—28no—
1098C2×C4⋊C4C2×D418yes—
1099C2×C4⋊C4C2×D4116yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2411yescharacteristic
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2411yescharacteristic
1116C2×C4⋊C4C2411yescharacteristic
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2411yescharacteristic
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2411yescharacteristic
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2412yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2414yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2414yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2414yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2414yes—
1157C2×C4⋊C4C2411yescharacteristic
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2411yescharacteristic
1160C2×C4⋊C4C2412yes—
1161C2×C4⋊C4C2412yes—
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C22⋊C4—24no—
1165C2×C22⋊C4—24no—
1166C2×C22⋊C4—28no—
1167C2×C22⋊C4—28no—
1168C2×C22⋊C4—28no—
1169C2×C22⋊C4—28no—
1170C2×C22⋊C4—28no—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2411yescharacteristic
1186C2×C22⋊C4C2411yescharacteristic
1187C2×C22⋊C4C2411yescharacteristic
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2411yescharacteristic
1193C2×C22⋊C4C2411yescharacteristic
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2412yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2411yescharacteristic
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2411yescharacteristic
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2411yescharacteristic
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2411yescharacteristic
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2414yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2414yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2414yes—
1228C2×C22⋊C4C2414yes—
1229C2×C22⋊C4C2414yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2414yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2414yes—
1234C2×C22⋊C4C2414yes—
1235C2×C22⋊C4C2414yes—
1236C2×C22⋊C4C2412yes—
1237C2×C22⋊C4C2412yes—
1238C2×C22⋊C4C2412yes—
1239C2×C22⋊C4C2412yes—
1240C2×C22⋊C4C2414yes—
1241C2×C22⋊C4C2414yes—
1242C2×C22⋊C4C2414yes—
1243C2×C22⋊C4C2414yes—
1244C2×C42—24no—
1245C2×C42—24no—
1246C2×C42—28no—
1247C2×C42—24no—
1248C2×C42—28no—
1249C2×C42C2×D418yes—
1250C2×C42C2×D4116yes—
1251C2×C42C2411yescharacteristic
1252C2×C42C2412yes—
1253C2×C42C2412yes—
1254C2×C42C2411yescharacteristic
1255C2×C42C2411yescharacteristic
1256C2×C42C2412yes—
1257C2×C42C2412yes—
1258C2×C42C2412yes—
1259C2×C42C2411yescharacteristic
1260C2×C42C2412yes—
1261C2×C42C2411yescharacteristic
1262C2×C42C2412yes—
1263C2×C42C2411yescharacteristic
1264C2×C42C2412yes—
1265C2×C42C2412yes—
1266C2×C42C2414yes—
1267C2×C42C2414yes—
1268C2×C42C2414yes—
1269C2×C42C2414yes—
1270C2×C42C2414yes—
1271C2×C42C2411yescharacteristic
1272C2×C42C2411yescharacteristic
1273C2×C42C2411yescharacteristic
1274C2×C42C2411yescharacteristic
1275C2×C42C2412yes—
1276C2×C42C2412yes—
1277C2×C42C2412yes—
1278C2×C42C2412yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2414yes—
1282#95C2412yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2414yes—
1289#95C2414yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2412yes—
1296#95C2412yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2412yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2412yes—
1311#95C2412yes—
1312#95C2412yes—
1313#95C2412yes—
1314#95C2414yes—
1315#95C2414yes—
1316#95C2414yes—
1317#95C2414yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324C24—22no—
1325C24—24no—
1326C24—24no—
1327C24—22no—
1328C24—24no—
1329C24—22no—
1330C24—42no—
1331C24—44no—
1332C24—42no—
1333C24—44no—
1334C24C2514yes—
1335C24C2512yes—
1336C24C2511yescharacteristic
1337C24C2512yes—
1338C24C2511yescharacteristic
1339C24C2511yescharacteristic
1340#41—416no—
1341#41—432no—
1342#41—416no—
1343C2×Q8—24no—
1344C2×Q8—22no—
1345C2×Q8—22no—
1346C2×Q8—24no—
1347C2×Q8—28no—
1348C2×Q8—28no—
1349C2×Q8—22no—
1350C2×Q8—24no—
1351C2×Q8—24no—
1352C2×Q8—24no—
1353C2×Q8—24no—
1354C2×Q8—44no—
1355C2×Q8—44no—
1356C2×Q8—41no—
1357C2×Q8—42no—
1358C2×Q8—44no—
1359C2×Q8—44no—
1360C2×Q8—44no—
1361C2×Q8—44no—
1362C2×Q8—416no—
1363C2×Q8—416no—
1364C2×Q8—816no—
1365C2×Q8C22×D414yes—
1366C2×Q8C22×D414yes—
1367C2×Q8C22×D418yes—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—24no—
1372C2×D4—22no—
1373C2×D4—24no—
1374C2×D4—22no—
1375C2×D4—24no—
1376C2×D4—22no—
1377C2×D4—24no—
1378C2×D4—28no—
1379C2×D4—24no—
1380C2×D4—22no—
1381C2×D4—24no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—22no—
1386C2×D4—28no—
1387C2×D4—28no—
1388C2×D4—24no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—44no—
1392C2×D4—41no—
1393C2×D4—42no—
1394C2×D4—44no—
1395C2×D4—416no—
1396C2×D4—44no—
1397C2×D4—42no—
1398C2×D4—42no—
1399C2×D4—42no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—42no—
1408C2×D4—44no—
1409C2×D4—42no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—816no—
1420C2×D4H(5,𝔽2)14yes—
1421C22×C4—22no—
1422C22×C4—24no—
1423C22×C4—22no—
1424C22×C4—24no—
1425C22×C4—24no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—24no—
1430C22×C4—22no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—22no—
1434C22×C4—24no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—24no—
1443C22×C4—22no—
1444C22×C4—24no—
1445C22×C4—24no—
1446C22×C4—22no—
1447C22×C4—24no—
1448C22×C4—24no—
1449C22×C4—22no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—24no—
1455C22×C4—28no—
1456C22×C4—28no—
1457C22×C4—42no—
1458C22×C4—42no—
1459C22×C4—42no—
1460C22×C4—42no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—44no—
1464C22×C4—42no—
1465C22×C4—44no—
1466C22×C4—44no—
1467C22×C4—41no—
1468C22×C4—41no—
1469C22×C4—42no—
1470C22×C4—42no—
1471C22×C4—44no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—416no—
1477C22×C4—816no—
1478C22×C4C22×D414yes—
1479C22×C4C22×D414yes—
1480C22×C4C22×D418yes—
1481C22×C4C22×D414yes—
1482C22×C4C22×D418yes—
1483C22×C4C2512yes—
1484C22×C4C2512yes—
1485C22×C4C2512yes—
1486C22×C4C2514yes—
1487C22×C4C2514yes—
1488C22×C4C2511yescharacteristic
1489C22×C4C2511yescharacteristic
1490C22×C4C2512yes—
1491C22×C4C2512yes—
1492C22×C4C2511yescharacteristic
1493C22×C4C2512yes—
1494C22×C4C2511yescharacteristic
1495C22×C4C2512yes—
1496C22×C4C2512yes—
1497C22×C4C2512yes—
1498C22×C4C2514yes—
1499C22×C4C2511yescharacteristic
1500C22×C4C2512yes—
1501C22×C4C2511yescharacteristic
1502C22×C4C2512yes—
1503C22×C4C2511yescharacteristic
1504C22×C4C2511yescharacteristic
1505C22×C4C2512yes—
1506C22×C4C2512yes—
1507C22×C4C2511yescharacteristic
1508C22×C4C2511yescharacteristic
1509C22×C4C2512yes—
1510C22×C4C2511yescharacteristic
1511C22×C4C2511yescharacteristic
1512C4⋊C4—24no—
1513C4⋊C4—24no—
1514C4⋊C4—24no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—22no—
1520C4⋊C4—24no—
1521C4⋊C4—24no—
1522C4⋊C4—24no—
1523C4⋊C4—28no—
1524C4⋊C4—28no—
1525C4⋊C4—28no—
1526C4⋊C4—28no—
1527C4⋊C4—22no—
1528C4⋊C4—22no—
1529C4⋊C4—24no—
1530C4⋊C4—22no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—22no—
1534C4⋊C4—22no—
1535C4⋊C4—24no—
1536C4⋊C4—22no—
1537C4⋊C4—24no—
1538C4⋊C4—24no—
1539C4⋊C4—22no—
1540C4⋊C4—24no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—28no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—24no—
1550C4⋊C4—42no—
1551C4⋊C4—42no—
1552C4⋊C4—44no—
1553C4⋊C4—42no—
1554C4⋊C4—42no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—44no—
1558C4⋊C4—44no—
1559C4⋊C4—42no—
1560C4⋊C4—42no—
1561C4⋊C4—44no—
1562C4⋊C4—44no—
1563C4⋊C4—44no—
1564C4⋊C4—44no—
1565C4⋊C4—44no—
1566C4⋊C4—44no—
1567C4⋊C4—44no—
1568C4⋊C4—42no—
1569C4⋊C4C22×D414yes—
1570C4⋊C4C22×D418yes—
1571C4⋊C4C22×D414yes—
1572C4⋊C4C22×D418yes—
1573C4⋊C4C22×D418yes—
1574C4⋊C4C22×D418yes—
1575C4⋊C4C22×D418yes—
1576C22⋊C4—22no—
1577C22⋊C4—24no—
1578C22⋊C4—22no—
1579C22⋊C4—22no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—22no—
1583C22⋊C4—28no—
1584C22⋊C4—24no—
1585C22⋊C4—22no—
1586C22⋊C4—22no—
1587C22⋊C4—24no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—24no—
1591C22⋊C4—28no—
1592C22⋊C4—28no—
1593C22⋊C4—28no—
1594C22⋊C4—28no—
1595C22⋊C4—28no—
1596C22⋊C4—28no—
1597C22⋊C4—28no—
1598C22⋊C4—28no—
1599C22⋊C4—28no—
1600C22⋊C4—28no—
1601C22⋊C4—22no—
1602C22⋊C4—22no—
1603C22⋊C4—24no—
1604C22⋊C4—24no—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—22no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—22no—
1611C22⋊C4—24no—
1612C22⋊C4—24no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—24no—
1616C22⋊C4—24no—
1617C22⋊C4—28no—
1618C22⋊C4—24no—
1619C22⋊C4—42no—
1620C22⋊C4—44no—
1621C22⋊C4—42no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—44no—
1627C22⋊C4—42no—
1628C22⋊C4—42no—
1629C22⋊C4—42no—
1630C22⋊C4—42no—
1631C22⋊C4—42no—
1632C22⋊C4—42no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—42no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4—44no—
1639C22⋊C4—44no—
1640C22⋊C4—44no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—44no—
1644C22⋊C4—44no—
1645C22⋊C4—44no—
1646C22⋊C4—42no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C42—22no—
1650C42—22no—
1651C42—24no—
1652C42—22no—
1653C42—24no—
1654C42—22no—
1655C42—24no—
1656C42—24no—
1657C42—24no—
1658C42—24no—
1659C42—22no—
1660C42—24no—
1661C42—22no—
1662C42—24no—
1663C42—24no—
1664C42—44no—
1665C42—44no—
1666C42—44no—
1667C42—44no—
1668C42—44no—
1669C42C22×D414yes—
1670C42C22×D418yes—
1671C42C22×D414yes—
1672C42C22×D414yes—
1673C42C22×D414yes—
1674C42C22×D418yes—
1675C42C22×D418yes—
1676C42C22×D418yes—
1677C23—22no—
1678C23—22no—
1679C23—21no—
1680C23—22no—
1681C23—21no—
1682C23—22no—
1683C23—22no—
1684C23—21no—
1685C23—24no—
1686C23—22no—
1687C23—24no—
1688C23—22no—
1689C23—21no—
1690C23—22no—
1691C23—22no—
1692C23—22no—
1693C23—21no—
1694C23—22no—
1695C23—24no—
1696C23—24no—
1697C23—22no—
1698C23—24no—
1699C23—24no—
1700C23—22no—
1701C23—22no—
1702C23—24no—
1703C23—22no—
1704C23—24no—
1705C23—24no—
1706C23—22no—
1707C23—44no—
1708C23—48no—
1709C23—44no—
1710C23—48no—
1711C23—48no—
1712C23—44no—
1713C23—88no—
1714C23—84no—
1715C23—84no—
1716C23—88no—
1717C23C23×D412yes—
1718C23C2×H(5,𝔽2)12yes—
1719C23C2×H(5,𝔽2)12yes—
1720C23#58512yes—
1721C23C2611yescharacteristic
1722Q8—28no—
1723Q8—28no—
1724Q8—48no—
1725Q8—44no—
1726Q8—48no—
1727Q8—48no—
1728Q8—44no—
1729Q8—88no—
1730Q8—88no—
1731D4—28no—
1732D4—44no—
1733D4—48no—
1734D4—48no—
1735D4—48no—
1736D4—44no—
1737D4—48no—
1738D4—48no—
1739D4—44no—
1740D4—88no—
1741D4—88no—
1742D4—88no—
1743D4—84no—
1744D4—88no—
1745D4—84no—
1746D4—164no—
1747D4—164no—
1748D4—164no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—21no—
1754C2×C4—24no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—24no—
1762C2×C4—22no—
1763C2×C4—22no—
1764C2×C4—28no—
1765C2×C4—216no—
1766C2×C4—28no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—21no—
1772C2×C4—22no—
1773C2×C4—21no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—21no—
1777C2×C4—22no—
1778C2×C4—24no—
1779C2×C4—22no—
1780C2×C4—24no—
1781C2×C4—24no—
1782C2×C4—22no—
1783C2×C4—24no—
1784C2×C4—22no—
1785C2×C4—21no—
1786C2×C4—22no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—24no—
1792C2×C4—24no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—24no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—21no—
1801C2×C4—22no—
1802C2×C4—24no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—22no—
1807C2×C4—24no—
1808C2×C4—22no—
1809C2×C4—24no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—24no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—44no—
1816C2×C4—48no—
1817C2×C4—44no—
1818C2×C4—48no—
1819C2×C4—44no—
1820C2×C4—48no—
1821C2×C4—44no—
1822C2×C4—44no—
1823C2×C4—48no—
1824C2×C4—48no—
1825C2×C4—48no—
1826C2×C4—48no—
1827C2×C4—44no—
1828C2×C4—44no—
1829C2×C4—48no—
1830C2×C4—44no—
1831C2×C4—48no—
1832C2×C4—44no—
1833C2×C4—44no—
1834C2×C4—88no—
1835C2×C4—88no—
1836C2×C4C23×D412yes—
1837C2×C4C23×D414yes—
1838C2×C4C23×D412yes—
1839C2×C4C23×D412yes—
1840C2×C4C23×D414yes—
1841C2×C4C23×D412yes—
1842C2×C4C23×D414yes—
1843C2×C4C23×D412yes—
1844C2×C4C23×D414yes—
1845C2×C4C23×D412yes—
1846C2×C4C2×H(5,𝔽2)12yes—
1847C2×C4#58514yes—
1848C22—22no—
1849C22—24no—
1850C22—22no—
1851C22—24no—
1852C22—22no—
1853C22—24no—
1854C22—41no—
1855C22—41no—
1856C22—42no—
1857C22—41no—
1858C22—42no—
1859C22—44no—
1860C22—42no—
1861C22—41no—
1862C22—42no—
1863C22—44no—
1864C22—42no—
1865C22—42no—
1866C22—44no—
1867C22—42no—
1868C22—44no—
1869C22—42no—
1870C22—44no—
1871C22—42no—
1872C22—42no—
1873C22—41no—
1874C22—44no—
1875C22—42no—
1876C22—42no—
1877C22—44no—
1878C22—44no—
1879C22—42no—
1880C22—44no—
1881C22—88no—
1882C22—816no—
1883C22#348814yes—
1884C22C24×D411yescharacteristic
1885C22C22×H(5,𝔽2)11yescharacteristic
1886C22C2×#58511yescharacteristic
1887C22C2×#58512yes—
1888C222−1+612yes—
1889C4—22no—
1890C4—24no—
1891C4—22no—
1892C4—24no—
1893C4—22no—
1894C4—22no—
1895C4—22no—
1896C4—22no—
1897C4—24no—
1898C4—24no—
1899C4—44no—
1900C4—41no—
1901C4—42no—
1902C4—42no—
1903C4—41no—
1904C4—42no—
1905C4—41no—
1906C4—42no—
1907C4—42no—
1908C4—44no—
1909C4—44no—
1910C4—42no—
1911C4—41no—
1912C4—42no—
1913C4—41no—
1914C4—42no—
1915C4—42no—
1916C4—42no—
1917C4#344914yes—
1918C2—24no—
1919C2—42no—
1920C2—81no—
1921C2—82no—
1922C2—84no—
1923C2—82no—
1924C2C2×#344911yescharacteristic
1925C2C2×#348811yescharacteristic
1926C2#6284811yescharacteristic
1927C2#6292112yes—
1928C2#6294012yes—
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×#3482C2semidirect
2. C22×#542C2semidirect
3. #42805C2semidirect
4. #42804C2semidirect
5. #42799C2semidirect
6. #42798C2semidirect
7. #41943C2semidirect
8. #41942C2semidirect
9. #39467C2semidirect
10. #39465C2semidirect
11. #39339C2semidirect
12. #39337C2semidirect
13. #39135C2semidirect
14. #39133C2semidirect
15. #39123C2semidirect
16. #39121C2semidirect
17. #37843C2semidirect
18. #37841C2semidirect
19. #37655C2semidirect
20. #37653C2semidirect
21. #37606C2semidirect
22. #37538C2semidirect
23. #37260C2semidirect
24. #37189C2semidirect
25. #35573C2semidirect
26. #35572C2semidirect
27. #35327C2semidirect
28. #35302C2semidirect
29. #35243C2semidirect
30. #35233C2semidirect
31. #35195C2semidirect
32. #35143C2semidirect
33. #34935C2semidirect
34. #34875C2semidirect
35. #34196C2semidirect
37. C2×#557C22semidirect
38. C2×#556C22semidirect
39. C2×#556C22semidirect
42. C2×#552C22semidirect
43. C2×#552C22semidirect
46. C2×#548C22semidirect
58. C2×#533C22semidirect
59. C2×#533C22semidirect
63. C2×#529C22semidirect
64. C2×#529C22semidirect
75. C2×C4×#41C22semidirect
77. C22×C4×Q8C22semidirect
82. #2852C22semidirect
83. #2852C22semidirect
84. #2850C22semidirect
85. #2850C22semidirect
90. #2823C22semidirect
91. #2823C22semidirect
92. #2820C22semidirect
93. #2819C22semidirect
94. #2733C22semidirect
95. #2732C22semidirect
96. #2731C22semidirect
97. #2730C22semidirect
98. #2730C22semidirect
99. #2730C22semidirect
100. #2729C22semidirect
101. #2728C22semidirect
102. #2716C22semidirect
104. #2713C22semidirect
106. #2707C22semidirect
107. #2705C22semidirect
108. #2704C22semidirect
109. #2702C22semidirect
110. #2696C22semidirect
111. #2694C22semidirect
112. #2692C22semidirect
113. #2690C22semidirect
114. #2683C22semidirect
115. #2682C22semidirect
116. #2681C22semidirect
117. #2681C22semidirect
118. #2677C22semidirect
119. #2677C22semidirect
121. #2676C22semidirect
122. #2674C22semidirect
123. #2674C22semidirect
125. #2673C22semidirect
126. #2664C22semidirect
127. #2662C22semidirect
128. #2662C22semidirect
129. #2662C22semidirect
130. #2637C22semidirect
131. #2637C22semidirect
132. #2636C22semidirect
133. #2636C22semidirect
134. #2636C22semidirect
135. #2632C22semidirect
136. #2631C22semidirect
137. #2629C22semidirect
140. #2620C22semidirect
141. #2620C22semidirect
142. #2620C22semidirect
149. #2610C22semidirect
150. #2610C22semidirect
151. #2609C22semidirect
152. #2609C22semidirect
153. #2609C22semidirect
154. #2604C22semidirect
155. #2603C22semidirect
156. #2601C22semidirect
157. #2601C22semidirect
158. #2601C22semidirect
159. #2601C22semidirect
160. #2601C22semidirect
161. #2599C22semidirect
162. #2598C22semidirect
163. #2598C22semidirect
167. #2566C22semidirect
170. #2560C22semidirect
171. #2558C22semidirect
172. #2556C22semidirect
173. #2554C22semidirect
174. #2551C22semidirect
175. #2550C22semidirect
176. #2548C22semidirect
177. #2545C22semidirect
178. #2545C22semidirect
179. #2545C22semidirect
180. #2544C22semidirect
181. #2544C22semidirect
182. #2544C22semidirect
187. #2538C22semidirect
188. #2538C22semidirect
189. #2537C22semidirect
190. #2536C22semidirect
191. #2536C22semidirect
192. #2535C22semidirect
206. #2492C22semidirect
208. #2491C22semidirect
216. #2477C22semidirect
217. #2471C22semidirect
218. #2465C22semidirect
219. #2463C22semidirect
220. #2461C22semidirect
221. #2461C22semidirect
222. #2458C22semidirect
223. #2456C22semidirect
224. #2452C22semidirect
225. #2452C22semidirect
226. #2451C22semidirect
227. #2449C22semidirect
228. #2448C22semidirect
229. #2448C22semidirect
230. #2445C22semidirect
231. #2443C22semidirect
232. #2440C22semidirect
233. #2439C22semidirect
234. #2436C22semidirect
237. #2431C22semidirect
238. #2429C22semidirect
241. #2426C22semidirect
242. #2426C22semidirect
243. #2426C22semidirect
244. #2423C22semidirect
245. #2421C22semidirect
254. #2409C22semidirect
257. #2407C22semidirect
262. #2396C22semidirect
263. #2392C22semidirect
264. #2392C22semidirect
265. #2392C22semidirect
266. #2355C22semidirect
267. #2355C22semidirect
268. Q8×C4⋊C4C22semidirect
275. #2328C22semidirect
276. #2326C22semidirect
277. #2324C22semidirect
278. #2323C22semidirect
283. #2320C22semidirect
284. #2320C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
293. #2290C22semidirect
294. #2290C22semidirect
300. #2276C22semidirect
450. C2×C4×Q8D4semidirect

Maximal subgroups

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

subgroupindex
C2×#34822
C22×#5422
#428052
#428042
#427992
#427982
#419432
#419422
#394672
#394652
#393392
#393372
#391352
#391332
#391232
#391212
#378432
#378412
#376552
#376532
#376062
#375382
#372602
#371892
#355732
#355722
#353272
#353022
#352432
#352332
#351952
#351432
#349352
#348752
#341962