Finite Group Databasebeta

← #7658919

Subgroups — #7658919

Order 512.

6882 conjugacy classes of subgroups.

The subgroup lattice has 1972 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3512C211yesmaximal, characteristic, complemented
2C2×#3514C211yesmaximal, characteristic, complemented
3#42392C212yesmaximal, complemented
4#42307C212yesmaximal, complemented
5#42175C212yesmaximal, complemented
6#41987C212yesmaximal, complemented
7#41958C212yesmaximal, complemented
8#41952C212yesmaximal, complemented
9#41945C212yesmaximal, complemented
10#41942C214yesmaximal, complemented
11#41936C212yesmaximal, complemented
12#40606C212yesmaximal, complemented
13#40603C212yesmaximal, complemented
14#40594C212yesmaximal, complemented
15#40591C212yesmaximal, complemented
16#40534C214yesmaximal, complemented
17#40515C214yesmaximal, complemented
18#37608C211yesmaximal, characteristic, complemented
19#37607C211yesmaximal, characteristic, complemented
20#37606C211yesmaximal, characteristic, complemented
21#37554C211yesmaximal, characteristic, complemented
22#37554C211yesmaximal, characteristic, complemented
23#37546C211yesmaximal, characteristic, complemented
24#37541C211yesmaximal, characteristic, complemented
25#37541C211yesmaximal, characteristic, complemented
26#37536C211yesmaximal, characteristic, complemented
27#36687C211yesmaximal, characteristic, complemented
28#36684C211yesmaximal, characteristic, complemented
29C2×#2820C211yesmaximal, characteristic, complemented
30#35990C212yesmaximal, complemented
31#35979C212yesmaximal, complemented
32#35929C212yesmaximal, complemented
33#35906C212yesmaximal, complemented
34#35777C214yesmaximal, complemented
35#34191C211yesmaximal, characteristic, complemented
36#3514—216no—
37#3512—216no—
38C2×#559C2211yescharacteristic
39C2×#556C2211yescharacteristic
40C2×#555C2212yes—
41C2×#553C2212yes—
42C2×#553C2212yes—
43C2×#553C2212yescomplemented
44C2×#553C2212yescomplemented
45C2×#553C2212yescomplemented
46C2×#553C2212yescomplemented
47C2×#552C2212yescomplemented
48C2×#552C2212yescomplemented
49C2×#551C2212yes—
50C2×#551C2212yes—
51C2×D4×Q8C2211yescharacteristic
52C2×#548C2211yescharacteristic
53C2×#548C2211yescharacteristic
54C2×#546C2211yescharacteristic
55C2×#546C2211yescharacteristic
56C2×#546C2212yes—
57C2×D42C2211yescharacteristic
58C2×#542C2212yes—
59C2×#541C2211yescharacteristic, complemented
60C2×#541C2211yescharacteristic, complemented
61C2×#540C2211yescharacteristic, complemented
62C2×#540C2211yescharacteristic, complemented
63C2×#538C2212yes—
64C2×#538C2212yes—
65C2×#537C2211yescharacteristic
66C2×#537C2211yescharacteristic
67C2×#532C2211yescharacteristic
68C2×#532C2211yescharacteristic, complemented
69C2×#529C2211yescharacteristic
70C2×#529C2211yescharacteristic
71C2×#529C2211yescharacteristic
72C2×#529C2211yescharacteristic, complemented
73C2×#529C2211yescharacteristic, complemented
74C2×#529C2211yescharacteristic, complemented
75C2×#529C2211yescharacteristic, complemented
76C22×#125C2211yescharacteristic, complemented
77C22×#124C2211yescharacteristic
78C22×#124C2211yescharacteristic
79C2×#520C2211yescharacteristic, complemented
80C2×#520C2211yescharacteristic, complemented
81C2×#518C2212yes—
82C2×C4×#41C2211yescharacteristic
83#2823C2214yescomplemented
84#2822C2211yescharacteristic, complemented
85#2822C2211yescharacteristic, complemented
86#2821C2212yescomplemented
87#2820C2212yes—
88#2820C2211yescharacteristic
89#2820C2211yescharacteristic
90#2820C2212yescomplemented
91#2820C2212yescomplemented
92#2820C2211yescharacteristic, complemented
93#2820C2214yescomplemented
94#2820C2212yescomplemented
95#2820C2211yescharacteristic, complemented
96#2820C2211yescharacteristic, complemented
97#2820C2211yescharacteristic, complemented
98#2820C2211yescharacteristic, complemented
99#2820C2211yescharacteristic, complemented
100#2819C2211yescharacteristic
101#2819C2211yescharacteristic
102#2819C2211yescharacteristic, complemented
103#2819C2211yescharacteristic, complemented
104#2819C2211yescharacteristic, complemented
105#2819C2211yescharacteristic, complemented
106#2818C2212yes—
107#2816C2212yescomplemented
108#2815C2212yescomplemented
109#2814C2212yescomplemented
110#2814C2212yescomplemented
111#2813C2212yes—
112#2813C2214yescomplemented
113#2813C2212yescomplemented
114#2732C2214yescomplemented
115#2730C2214yescomplemented
116#2730C2214yescomplemented
117#2728C2214yescomplemented
118#2725C2214yescomplemented
119#2715C2214yescomplemented
120#2713C2214yescomplemented
121#2711C2214yes—
122#2707C2214yescomplemented
123#2705C2214yescomplemented
124#2691C2214yescomplemented
125#2689C2214yescomplemented
126#2688C2214yescomplemented
127#2685C2214yes—
128#2682C2214yescomplemented
129#2676C2214yescomplemented
130#2675C2214yescomplemented
131#2674C2214yescomplemented
132#2673C2214yes—
133#2672C2214yescomplemented
134#2671C2214yescomplemented
135#2669C2214yes—
136#2668C2214yescomplemented
137#2668C2214yescomplemented
138#2664C2214yescomplemented
139#2663C2212yescomplemented
140#2663C2212yescomplemented
141#2662C2212yes—
142#2662C2212yescomplemented
143#2662C2214yescomplemented
144#2661C2212yes—
145#2661C2212yescomplemented
146#2657C2212yescomplemented
147#2656C2212yes—
148#2656C2212yescomplemented
149#2640C2212yescomplemented
150#2639C2212yescomplemented
151#2639C2212yescomplemented
152#2638C2212yescomplemented
153#2638C2212yescomplemented
154#2637C2212yescomplemented
155#2637C2212yescomplemented
156#2636C2212yes—
157#2636C2214yescomplemented
158#2636C2212yescomplemented
159#2636C2214yescomplemented
160#2635C2212yes—
161#2635C2212yescomplemented
162#2634C2212yescomplemented
163#2633C2212yescomplemented
164#2632C2212yescomplemented
165#2631C2212yes—
166#2631C2212yescomplemented
167#2631C2212yescomplemented
168#2630C2214yescomplemented
169#2630C2214yescomplemented
170#2628C2212yescomplemented
171#2628C2212yescomplemented
172#2626C2212yescomplemented
173#2623C2212yescomplemented
174#2623C2212yescomplemented
175#2620C2214yescomplemented
176#2619C2212yes—
177#2619C2212yescomplemented
178#2618C2214yescomplemented
179#2617C2214yescomplemented
180#2617C2212yescomplemented
181#2614C2212yescomplemented
182#2613C2212yes—
183#2611C2212yescomplemented
184#2611C2212yescomplemented
185#2610C2212yes—
186#2610C2212yescomplemented
187#2609C2214yescomplemented
188#2604C2212yescomplemented
189#2604C2212yescomplemented
190#2603C2212yescomplemented
191#2603C2212yescomplemented
192#2601C2214yescomplemented
193#2601C2214yescomplemented
194#2599C2212yescomplemented
195#2599C2212yescomplemented
196#2598C2212yes—
197#2598C2212yescomplemented
198#2592C2212yescomplemented
199#2591C2212yes—
200#2583C2212yescomplemented
201#2580C2212yescomplemented
202#2580C2212yescomplemented
203#2579C2214yescomplemented
204#2564C2212yescomplemented
205#2564C2212yescomplemented
206#2561C2212yescomplemented
207#2559C2214yescomplemented
208#2558C2214yescomplemented
209#2556C2214yescomplemented
210#2555C2214yescomplemented
211#2544C2214yescomplemented
212#2543C2212yes—
213#2543C2214yescomplemented
214#2543C2212yescomplemented
215#2540C2212yescomplemented
216#2539C2212yescomplemented
217#2535C2212yescomplemented
218#2535C2212yescomplemented
219#2534C2214yescomplemented
220#2521C2214yescomplemented
221#2481C2214yescomplemented
222#2480C2214yescomplemented
223#2479C2214yescomplemented
224#2477C2214yescomplemented
225#2475C2214yescomplemented
226#2471C2214yescomplemented
227#2471C2214yescomplemented
228#2471C2214yescomplemented
229#2466C2214yescomplemented
230#2461C2214yescomplemented
231#2460C2214yescomplemented
232#2456C2214yescomplemented
233#2456C2214yescomplemented
234#2450C2214yescomplemented
235#2449C2214yescomplemented
236#2449C2214yescomplemented
237#2445C2214yescomplemented
238#2444C2214yes—
239#2443C2214yes—
240#2443C2214yescomplemented
241#2443C2214yescomplemented
242#2436C2212yescomplemented
243#2433C2212yes—
244#2430C2212yescomplemented
245#2430C2212yescomplemented
246#2430C2212yescomplemented
247#2430C2212yescomplemented
248#2428C2214yescomplemented
249#2424C2214yes—
250#2424C2214yes—
251#2424C2214yescomplemented
252#2424C2214yescomplemented
253#2424C2214yescomplemented
254#2416C2214yescomplemented
255#2416C2214yescomplemented
256#2416C2214yescomplemented
257#2411C2214yescomplemented
258#2410C2214yes—
259#2410C2214yes—
260#2409C2212yescomplemented
261#2408C2212yes—
262#2404C2212yescomplemented
263#2404C2212yescomplemented
264#2398C2212yescomplemented
265#2397C2212yescomplemented
266#2396C2212yescomplemented
267#2396C2212yescomplemented
268C2×#399C2212yescomplemented
269#2392C2212yescomplemented
270#2392C2214yescomplemented
271#2392C2212yescomplemented
272#2392C2214yescomplemented
273C2×#397C2212yescomplemented
274C2×#396C2214yescomplemented
275#2388C2212yescomplemented
276#2388C2212yescomplemented
277C2×#395C2212yescomplemented
278C2×#394C2212yes—
279#2364C2214yescomplemented
280#2361C2214yescomplemented
281#2358C2214yescomplemented
282#2358C2214yescomplemented
283#2355C2212yescomplemented
284#2352C2212yes—
285#2352C2212yescomplemented
286D4×C4⋊C4C2212yescomplemented
287#2346C2212yescomplemented
288#2343C2212yescomplemented
289#2343C2212yescomplemented
290#2339C2212yes—
291#2320C2212yescomplemented
292#2318C2212yes—
293#2318C2212yescomplemented
294#2285C2211yescharacteristic, complemented
295#2283C2211yescharacteristic, complemented
296#2283C2211yescharacteristic, complemented
297#2283C2211yescharacteristic, complemented
298C2×#382C2211yescharacteristic, complemented
299C2×#382C2211yescharacteristic, complemented
300#2275C2212yescomplemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2311yescharacteristic
306C23×Q8C2311yescharacteristic
307C23×Q8C2311yescharacteristic
308C23×D4C2312yes—
309C23×D4C2311yescharacteristic
310C23×D4C2311yescharacteristic
311#559—28no—
312#556—28no—
313#555—216no—
314#553—216no—
315#553—216no—
316#553—216no—
317#553—216no—
318#553—216no—
319#553—216no—
320#552—216no—
321#552—216no—
322#551—216no—
323#551—216no—
324D4×Q8—28no—
325#548—28no—
326#548—28no—
327#546—216no—
328#546—28no—
329#546—28no—
330D42—28no—
331#542—216no—
332#541—28no—
333#541—28no—
334#540—28no—
335#540—28no—
336#538—216no—
337#538—216no—
338#537—28no—
339#537—28no—
340#532—28no—
341#532—28no—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345C2×#127C2311yescharacteristic
346C2×#127C2311yescharacteristic
347C2×#127C2314yes—
348#529—28no—
349#529—28no—
350#529—28no—
351#529—28no—
352#529—28no—
353#529—28no—
354#529—28no—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2312yes—
362C2×#126C2312yes—
363C2×#126C2312yes—
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#126C2312yes—
367C2×#126C2312yes—
368C2×#125—28no—
369C2×#125C2311yescharacteristic
370C2×#125C2311yescharacteristic
371C2×#125C2312yes—
372C2×#125C2311yescharacteristic
373C2×#125C2311yescharacteristic
374C2×#125C2311yescharacteristic
375C2×#125C2312yes—
376C2×#125C2312yes—
377C2×#125C2312yes—
378C2×#125C2312yes—
379C2×#125C2312yes—
380C2×#124—28no—
381C2×#124—28no—
382C2×#124C2311yescharacteristic
383C2×#124C2311yescharacteristic
384C2×#124C2311yescharacteristic
385C2×#124C2311yescharacteristic
386C2×#124C2311yescharacteristic
387C2×#124C2311yescharacteristic
388C2×#124C2311yescharacteristic
389C2×#124C2312yes—
390C2×#124C2312yes—
391C2×#124C2312yes—
392C2×#124C2311yescharacteristic
393C2×#124C2311yescharacteristic
394C2×#124C2312yes—
395C2×#124C2312yes—
396C2×#124C2312yes—
397C2×#124C2312yes—
398C2×#124C2314yes—
399C2×#123C2312yes—
400C2×#123C2312yes—
401C2×#123C2312yes—
402C2×#123C2312yes—
403C2×#123C2312yes—
404C2×#123C2312yes—
405C2×#123C2312yes—
406C2×#123C2312yes—
407C2×#123C2312yes—
408C2×#123C2312yes—
409C2×#123C2312yes—
410C2×#123C2312yes—
411C2×#123C2312yes—
412C2×#123C2312yes—
413C2×#123C2312yes—
414C2×#123C2314yes—
415C2×C22⋊Q8C2311yescharacteristic
416C2×C22⋊Q8C2311yescharacteristic
417C2×C22⋊Q8C2311yescharacteristic
418C2×C22⋊Q8C2311yescharacteristic
419C2×C22⋊Q8C2311yescharacteristic
420C2×C22⋊Q8C2311yescharacteristic
421C2×C22⋊Q8C2311yescharacteristic
422C2×C22⋊Q8C2312yes—
423C2×C22⋊Q8C2312yes—
424C2×C22⋊Q8C2312yes—
425C2×C22⋊Q8C2312yes—
426C2×C22⋊Q8C2312yes—
427C2×C22⋊Q8C2312yes—
428C2×C22⋊Q8C2312yes—
429C2×C22⋊Q8C2314yes—
430C2×#121C2312yes—
431C2×#121C2311yescharacteristic
432C2×#121C2311yescharacteristic
433C2×#121C2312yes—
434C2×#121C2311yescharacteristic
435C2×#121C2311yescharacteristic
436C2×#121C2312yes—
437C2×#121C2311yescharacteristic
438C2×#121C2312yes—
439C2×#121C2312yes—
440C2×#121C2312yes—
441C2×#121C2312yes—
442C2×#121C2312yes—
443C2×#121C2312yes—
444C2×#121C2311yescharacteristic
445C2×#121C2311yescharacteristic
446C2×#121C2312yes—
447C2×#121C2312yes—
448C2×#121C2312yes—
449C2×#121C2312yes—
450C2×#121C2312yes—
451C2×#121C2312yes—
452C2×#121C2312yes—
453C2×#121C2312yes—
454C2×#121C2312yes—
455C2×#121C2312yes—
456C2×#121C2314yes—
457C2×#121C2314yes—
458C2×#121C2314yes—
459C2×#121C2314yes—
460C2×#121C2314yes—
461C2×#121C2314yes—
462C2×#121C2314yes—
463C2×#121C2314yes—
464C2×#120C2312yes—
465C2×#120C2312yes—
466C2×#120C2312yes—
467C2×#120C2312yes—
468C2×#120C2314yes—
469C2×#120C2314yes—
470C2×#120C2314yes—
471C2×#120C2314yes—
472#520—28no—
473#520—28no—
474#518—216no—
475C4×#41D4116yescomplemented
476C2×C4×Q8C2311yescharacteristic
477C2×C4×Q8C2311yescharacteristic
478C2×C4×Q8C2311yescharacteristic
479C2×C4×Q8C2311yescharacteristic
480C2×C4×Q8C2311yescharacteristic
481C2×C4×Q8C2311yescharacteristic
482C2×C4×Q8C2311yescharacteristic
483C2×C4×Q8C2311yescharacteristic
484C2×C4×Q8C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×C4×D4C2312yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2311yescharacteristic
491C2×C4×D4C2311yescharacteristic
492C2×C4×D4C2311yescharacteristic
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2312yes—
495C2×C4×D4C2312yes—
496C2×C4×D4C2312yes—
497C2×C4×D4C2312yes—
498C2×C4×D4C2312yes—
499C2×C4×D4C2311yescharacteristic
500C2×C4×D4C2311yescharacteristic
501C2×C4×D4C2312yes—
502C2×C4×D4C2312yes—
503C2×C4×D4C2311yescharacteristic
504C2×C4×D4C2312yes—
505C2×C4×D4C2312yes—
506C2×C4×D4C2312yes—
507C2×C4×D4C2312yes—
508C2×C4×D4C2312yes—
509C2×C4×D4C2312yes—
510C2×C4×D4C2312yes—
511C2×C4×D4C2314yes—
512C2×C4×D4C2314yes—
513C2×C4×D4C2314yes—
514C2×C4×D4C2314yes—
515C2×C4×D4C2311yescharacteristic
516C2×C4×D4C2311yescharacteristic
517C2×C4×D4C2311yescharacteristic
518C2×C4×D4C2311yescharacteristic
519C2×C4×D4C2311yescharacteristic
520C2×C4×D4C2311yescharacteristic
521C2×#117C2312yes—
522C2×#117C2312yes—
523C2×#117C2312yes—
524C2×#117C2312yes—
525C2×#117C2312yes—
526C2×#117C2312yes—
527C2×#117C2312yes—
528C2×#117C2312yes—
529C2×#117C2312yes—
530C2×#117C2312yes—
531C2×#117C2312yes—
532C2×#117C2311yescharacteristic
533C2×#117C2311yescharacteristic
534C2×#117C2311yescharacteristic
535C22×C4⋊C4C2312yes—
536C22×C4⋊C4C2312yes—
537C22×C4⋊C4C2311yescharacteristic
538C22×C4⋊C4C2311yescharacteristic
539C22×C4⋊C4C2312yes—
540C22×C4⋊C4C2312yes—
541C22×C4⋊C4C2312yes—
542C22×C4⋊C4C2312yes—
543C22×C4⋊C4C2314yes—
544C22×C22⋊C4C2312yes—
545C22×C22⋊C4C2312yes—
546C22×C22⋊C4C2312yes—
547C22×C22⋊C4C2312yes—
548C22×C22⋊C4C2312yes—
549C22×C22⋊C4C2312yes—
550C22×C22⋊C4C2314yes—
551C22×C22⋊C4C2314yes—
552C22×C42C2311yescharacteristic
553C22×C42C2311yescharacteristic
554C22×C42C2311yescharacteristic
555#400C2312yes—
556#400C2312yes—
557#400C2314yes—
558#400C2312yes—
559#400C2312yes—
560#400C2314yes—
561#400C2314yes—
562#400C2314yes—
563#399C2312yes—
564#399C2312yes—
565#399C2312yes—
566#399C2312yes—
567#399C2312yes—
568#399C2314yes—
569#399C2312yes—
570#399C2314yes—
571#399C2312yes—
572#399C2312yes—
573#399C2314yes—
574#399C2314yes—
575#399C2314yes—
576#399C2314yes—
577#398C2314yes—
578#398C2314yes—
579#398C2314yes—
580#398C2312yes—
581#398C2312yes—
582#398C2312yes—
583#398C2312yes—
584#398C2314yes—
585#398C2314yes—
586#398C2314yes—
587#398C2314yes—
588#397C2312yes—
589#397C2312yes—
590#397C2312yes—
591#397C2314yes—
592#397C2312yes—
593#397C2312yes—
594#397C2314yes—
595#397C2312yes—
596#397C2312yes—
597#397C2312yes—
598#397C2314yes—
599#397C2314yes—
600#397C2314yes—
601#397C2314yes—
602#397C2314yes—
603#397C2314yes—
604#397C2314yes—
605#396C2314yes—
606#396C2314yes—
607#396C2314yes—
608#396C2314yes—
609#396C2314yes—
610#396C2314yes—
611#396C2314yes—
612#396C2314yes—
613#396C2314yes—
614#396C2314yes—
615#396C2314yes—
616#396C2314yes—
617#396C2314yes—
618#396C2314yes—
619#396C2314yes—
620#396C2314yes—
621#396C2314yes—
622#396C2314yes—
623#396C2314yes—
624#396C2314yes—
625#395C2312yes—
626#395C2312yes—
627#395C2312yes—
628#395C2312yes—
629#395C2312yes—
630#395C2314yes—
631#395C2314yes—
632#395C2312yes—
633#395C2312yes—
634#395C2312yes—
635#395C2314yes—
636#394C2314yes—
637#394C2314yes—
638#394C2314yes—
639#394C2312yes—
640#394C2312yes—
641#394C2314yes—
642#394C2314yes—
643#394C2314yes—
644#394C2314yes—
645#394C2314yes—
646#394C2314yes—
647#394C2314yes—
648#394C2312yes—
649#394C2312yes—
650#394C2312yes—
651#394C2314yes—
652#394C2314yes—
653#394C2312yes—
654#394C2312yes—
655#394C2312yes—
656#394C2314yes—
657#394C2314yes—
658#394C2314yes—
659#394C2314yes—
660#394C2314yes—
661#394C2314yes—
662#394C2314yes—
663#394C2314yes—
664#394C2314yes—
665#394C2314yes—
666#394C2314yes—
667#394C2314yes—
668#394C2314yes—
669#394C2314yes—
670#393C2312yes—
671#393C2312yes—
672#393C2312yes—
673#393C2312yes—
674#393C2312yes—
675#393C2312yes—
676#393C2312yes—
677#393C2312yes—
678#393C2312yes—
679#393C2312yes—
680#393C2312yes—
681#393C2312yes—
682#393C2314yes—
683#392C2312yes—
684#392C2312yes—
685#392C2314yes—
686#392C2314yes—
687#392C2312yes—
688#392C2312yes—
689#392C2312yes—
690#392C2312yes—
691#392C2312yes—
692#392C2312yes—
693#392C2312yes—
694#392C2312yes—
695#392C2312yes—
696#392C2312yes—
697#392C2314yes—
698#392C2314yes—
699#392C2314yes—
700#392C2314yes—
701#392C2314yes—
702#392C2314yes—
703#392C2314yes—
704#392C2314yes—
705#392C2314yes—
706#392C2314yes—
707#391C2314yes—
708#391C2314yes—
709#391C2314yes—
710#390C2314yes—
711#390C2314yes—
712#390C2314yes—
713#390C2314yes—
714#390C2314yes—
715#390C2314yes—
716#390C2314yes—
717#390C2314yes—
718#390C2314yes—
719#390C2314yes—
720#389C2314yes—
721#389C2314yes—
722#389C2314yes—
723#389C2314yes—
724#389C2314yes—
725#389C2314yes—
726#389C2314yes—
727#388C2314yes—
728#388C2314yes—
729#388C2314yes—
730#388C2314yes—
731#388C2314yes—
732#388C2314yes—
733#388C2314yes—
734#388C2314yes—
735#388C2314yes—
736#388C2314yes—
737#388C2314yes—
738#388C2314yes—
739#388C2314yes—
740#388C2314yes—
741#388C2314yes—
742#388C2314yes—
743#388C2314yes—
744#388C2314yes—
745#388C2314yes—
746#388C2314yes—
747#387C2314yes—
748#387C2314yes—
749#387C2314yes—
750#387C2314yes—
751#387C2314yes—
752#387C2314yes—
753#387C2314yes—
754#387C2314yes—
755#387C2314yes—
756#387C2314yes—
757#387C2314yes—
758#387C2314yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2314yes—
768#386C2314yes—
769#386C2314yes—
770#386C2314yes—
771#386C2314yes—
772#386C2314yes—
773#386C2314yes—
774#386C2314yes—
775#386C2314yes—
776#386C2314yes—
777#386C2314yes—
778#386C2314yes—
779#386C2314yes—
780#386C2314yes—
781#386C2314yes—
782#386C2314yes—
783#386C2314yes—
784#386C2314yes—
785#386C2314yes—
786#386C2314yes—
787#386C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#385C2314yes—
794#385C2314yes—
795#385C2314yes—
796#385C2314yes—
797#385C2314yes—
798#385C2314yes—
799#385C2314yes—
800#385C2314yes—
801#385C2314yes—
802#385C2314yes—
803#385C2314yes—
804#385C2314yes—
805#384C2312yes—
806#383C2312yes—
807#383C2312yes—
808#383C2312yes—
809#382C2311yescharacteristic
810#382C2311yescharacteristic
811#382C2311yescharacteristic
812#382C2311yescharacteristic
813#382C2312yes—
814#382C2312yes—
815#382C2312yes—
816#382C2312yes—
817#382C2312yes—
818#382C2312yes—
819#381C2312yes—
820#381C2314yes—
821#381C2312yes—
822#381C2312yes—
823#380C2314yes—
824#380C2312yes—
825#380C2312yes—
826#380C2312yes—
827#380C2312yes—
828#380C2312yes—
829#380C2314yes—
830#380C2314yes—
831#379C2314yes—
832#379C2314yes—
833C4×C4⋊C4C2312yes—
834C4×C4⋊C4C2312yes—
835C4×C4⋊C4C2312yes—
836C4×C4⋊C4C2312yes—
837C4×C4⋊C4C2314yes—
838C4×C4⋊C4C2312yes—
839C4×C4⋊C4C2314yes—
840C4×C22⋊C4C2312yes—
841C4×C22⋊C4C2312yes—
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2314yes—
844C4×C22⋊C4C2314yes—
845C4×C22⋊C4C2314yes—
846C4×C22⋊C4C2314yes—
847C4×C22⋊C4C2314yes—
848C4×C22⋊C4C2314yes—
849#376C2312yes—
850#376C2312yes—
851#376C2312yes—
852C2×#95C2312yes—
853C2×#95C2312yes—
854C2×#95C2312yes—
855C2×#95C2312yes—
856C2×#95C2314yes—
857C25C2412yes—
858C25C2412yes—
859C2×#41—24no—
860C2×#41—24no—
861C2×#41—24no—
862C2×#41—24no—
863C2×#41—44no—
864C2×#41—44no—
865C2×#41—44no—
866C2×#41—82no—
867C2×#41—82no—
868C2×#41C2×D418yes—
869C22×Q8—24no—
870C22×Q8—24no—
871C22×Q8—82no—
872C22×Q8—82no—
873C22×Q8C2411yescharacteristic
874C22×Q8C2411yescharacteristic
875C22×Q8C2411yescharacteristic
876C22×Q8C2411yescharacteristic
877C22×Q8C2411yescharacteristic
878C22×Q8C2412yes—
879C22×Q8C2412yes—
880C22×Q8C2411yescharacteristic
881C22×D4—28no—
882C22×D4—24no—
883C22×D4—24no—
884C22×D4—48no—
885C22×D4—82no—
886C22×D4—82no—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2411yescharacteristic
891C22×D4C2411yescharacteristic
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2411yescharacteristic
895C22×D4C2411yescharacteristic
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2412yes—
900C22×D4C2412yes—
901C22×D4C2412yes—
902C22×D4C2412yes—
903C22×D4C2412yes—
904C22×D4C2411yescharacteristic
905C22×D4C2411yescharacteristic
906C22×D4C2411yescharacteristic
907C22×D4C2412yes—
908C22×D4C2412yes—
909C22×D4C2412yes—
910C22×D4C2412yes—
911C22×D4C2414yes—
912C22×D4C2414yes—
913C22×D4C2414yes—
914C22×D4C2414yes—
915C22×D4C2414yes—
916C22×D4C2414yes—
917C22×D4C2411yescharacteristic
918C23×C4C2411yescharacteristic
919C23×C4C2412yes—
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2414yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2412yes—
930C23×C4C2412yes—
931C23×C4C2412yes—
932C23×C4C2412yes—
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2414yes—
936C23×C4C2411yescharacteristic
937C23×C4C2411yescharacteristic
938C23×C4C2411yescharacteristic
939C23×C4C2411yescharacteristic
940C23×C4C2411yescharacteristic
941C23×C4C2411yescharacteristic
942C23×C4C2411yescharacteristic
943C23×C4C2411yescharacteristic
944C4⋊Q8—28no—
945C4⋊Q8—24no—
946C4⋊Q8—24no—
947#127—24no—
948#127—24no—
949#127—84no—
950#126—28no—
951#126—28no—
952#126—28no—
953#126—28no—
954#126—28no—
955#126—28no—
956#126—28no—
957#126—28no—
958#126—28no—
959#126—28no—
960#126—28no—
961#126—28no—
962#126—28no—
963#125—28no—
964#125—28no—
965#125—28no—
966#125—28no—
967#125—24no—
968#125—24no—
969#125—24no—
970#125—24no—
971#125—28no—
972#125—28no—
973#125—24no—
974#124—28no—
975#124—28no—
976#124—28no—
977#124—24no—
978#124—24no—
979#124—24no—
980#124—28no—
981#124—28no—
982#124—24no—
983#124—24no—
984#124—24no—
985#124—24no—
986#124—28no—
987#124—28no—
988#124—24no—
989#124—24no—
990#124—84no—
991#123—28no—
992#123—28no—
993#123—28no—
994#123—28no—
995#123—28no—
996#123—28no—
997#123—28no—
998#123—28no—
999#123—28no—
1000#123—28no—
1001#123—28no—
1002#123—28no—
1003#123—28no—
1004#123—28no—
1005#123—28no—
1006#123—84no—
1007C22⋊Q8—28no—
1008C22⋊Q8—28no—
1009C22⋊Q8—28no—
1010C22⋊Q8—24no—
1011C22⋊Q8—24no—
1012C22⋊Q8—24no—
1013C22⋊Q8—24no—
1014C22⋊Q8—24no—
1015C22⋊Q8—24no—
1016C22⋊Q8—24no—
1017C22⋊Q8—28no—
1018C22⋊Q8—28no—
1019C22⋊Q8—28no—
1020C22⋊Q8—28no—
1021C22⋊Q8—84no—
1022#121—28no—
1023#121—28no—
1024#121—28no—
1025#121—28no—
1026#121—28no—
1027#121—28no—
1028#121—28no—
1029#121—28no—
1030#121—24no—
1031#121—24no—
1032#121—24no—
1033#121—24no—
1034#121—24no—
1035#121—24no—
1036#121—24no—
1037#121—28no—
1038#121—28no—
1039#121—28no—
1040#121—28no—
1041#121—28no—
1042#121—28no—
1043#121—28no—
1044#121—28no—
1045#121—28no—
1046#121—28no—
1047#121—28no—
1048#121—48no—
1049#121—48no—
1050#121—84no—
1051#121—84no—
1052#121—84no—
1053#121—84no—
1054#121—84no—
1055#121—84no—
1056#120—28no—
1057#120—28no—
1058#120—28no—
1059#120—28no—
1060#120—48no—
1061#120—48no—
1062#120—84no—
1063#120—84no—
1064C4×Q8—24no—
1065C4×Q8—24no—
1066C4×Q8—24no—
1067C4×Q8—24no—
1068C4×Q8—24no—
1069C4×Q8—24no—
1070C4×Q8—24no—
1071C4×Q8C2×D418yes—
1072C4×Q8C2×D418yes—
1073C4×D4—28no—
1074C4×D4—28no—
1075C4×D4—28no—
1076C4×D4—28no—
1077C4×D4—28no—
1078C4×D4—28no—
1079C4×D4—28no—
1080C4×D4—28no—
1081C4×D4—28no—
1082C4×D4—28no—
1083C4×D4—28no—
1084C4×D4—28no—
1085C4×D4—28no—
1086C4×D4—28no—
1087C4×D4—28no—
1088C4×D4—28no—
1089C4×D4—24no—
1090C4×D4—24no—
1091C4×D4—24no—
1092C4×D4—24no—
1093C4×D4—24no—
1094C4×D4—24no—
1095C4×D4—24no—
1096C4×D4—28no—
1097C4×D4—28no—
1098C4×D4—28no—
1099C4×D4—48no—
1100C4×D4—84no—
1101C4×D4—84no—
1102C4×D4—84no—
1103C4×D4C2×D418yes—
1104C4×D4C2×D418yes—
1105C4×D4C2×D418yes—
1106C4×D4C2×D418yes—
1107C4×D4C2×D418yes—
1108C4×D4C2×D418yes—
1109#117—28no—
1110#117—28no—
1111#117—28no—
1112#117—28no—
1113#117—28no—
1114#117—28no—
1115#117—28no—
1116#117—28no—
1117#117—28no—
1118#117—28no—
1119#117—82no—
1120#117C2×D418yes—
1121#117C2×D418yes—
1122#117C2×D418yes—
1123C2×C4⋊C4—24no—
1124C2×C4⋊C4—24no—
1125C2×C4⋊C4—28no—
1126C2×C4⋊C4—28no—
1127C2×C4⋊C4—28no—
1128C2×C4⋊C4—28no—
1129C2×C4⋊C4—82no—
1130C2×C4⋊C4—82no—
1131C2×C4⋊C4—84no—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2411yescharacteristic
1139C2×C4⋊C4C2411yescharacteristic
1140C2×C4⋊C4C2411yescharacteristic
1141C2×C4⋊C4C2411yescharacteristic
1142C2×C4⋊C4C2412yes—
1143C2×C4⋊C4C2412yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2412yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2412yes—
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2412yes—
1153C2×C4⋊C4C2412yes—
1154C2×C4⋊C4C2412yes—
1155C2×C4⋊C4C2412yes—
1156C2×C4⋊C4C2412yes—
1157C2×C4⋊C4C2412yes—
1158C2×C4⋊C4C2412yes—
1159C2×C4⋊C4C2412yes—
1160C2×C4⋊C4C2411yescharacteristic
1161C2×C4⋊C4C2411yescharacteristic
1162C2×C4⋊C4C2412yes—
1163C2×C4⋊C4C2412yes—
1164C2×C4⋊C4C2412yes—
1165C2×C4⋊C4C2412yes—
1166C2×C4⋊C4C2412yes—
1167C2×C4⋊C4C2412yes—
1168C2×C4⋊C4C2412yes—
1169C2×C4⋊C4C2412yes—
1170C2×C4⋊C4C2412yes—
1171C2×C4⋊C4C2414yes—
1172C2×C4⋊C4C2414yes—
1173C2×C4⋊C4C2414yes—
1174C2×C4⋊C4C2414yes—
1175C2×C4⋊C4C2414yes—
1176C2×C4⋊C4C2414yes—
1177C2×C4⋊C4C2414yes—
1178C2×C4⋊C4C2414yes—
1179C2×C4⋊C4C2414yes—
1180C2×C4⋊C4C2414yes—
1181C2×C4⋊C4C2414yes—
1182C2×C4⋊C4C2414yes—
1183C2×C4⋊C4C2414yes—
1184C2×C4⋊C4C2412yes—
1185C2×C4⋊C4C2414yes—
1186C2×C4⋊C4C2411yescharacteristic
1187C2×C4⋊C4C2411yescharacteristic
1188C2×C4⋊C4C2411yescharacteristic
1189C2×C4⋊C4C2411yescharacteristic
1190C2×C4⋊C4C2411yescharacteristic
1191C2×C4⋊C4C2411yescharacteristic
1192C2×C22⋊C4—28no—
1193C2×C22⋊C4—28no—
1194C2×C22⋊C4—28no—
1195C2×C22⋊C4—28no—
1196C2×C22⋊C4—28no—
1197C2×C22⋊C4—28no—
1198C2×C22⋊C4—84no—
1199C2×C22⋊C4—84no—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2412yes—
1203C2×C22⋊C4C2412yes—
1204C2×C22⋊C4C2412yes—
1205C2×C22⋊C4C2412yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2412yes—
1209C2×C22⋊C4C2412yes—
1210C2×C22⋊C4C2412yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2412yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2412yes—
1216C2×C22⋊C4C2412yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2412yes—
1220C2×C22⋊C4C2412yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2412yes—
1223C2×C22⋊C4C2412yes—
1224C2×C22⋊C4C2412yes—
1225C2×C22⋊C4C2412yes—
1226C2×C22⋊C4C2412yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C22⋊C4C2414yes—
1233C2×C22⋊C4C2412yes—
1234C2×C22⋊C4C2412yes—
1235C2×C22⋊C4C2412yes—
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×C22⋊C4C2414yes—
1245C2×C22⋊C4C2414yes—
1246C2×C22⋊C4C2414yes—
1247C2×C22⋊C4C2414yes—
1248C2×C22⋊C4C2414yes—
1249C2×C22⋊C4C2414yes—
1250C2×C22⋊C4C2414yes—
1251C2×C22⋊C4C2414yes—
1252C2×C22⋊C4C2414yes—
1253C2×C22⋊C4C2414yes—
1254C2×C22⋊C4C2414yes—
1255C2×C22⋊C4C2414yes—
1256C2×C22⋊C4C2414yes—
1257C2×C22⋊C4C2414yes—
1258C2×C22⋊C4C2414yes—
1259C2×C22⋊C4C2414yes—
1260C2×C22⋊C4C2414yes—
1261C2×C22⋊C4C2414yes—
1262C2×C22⋊C4C2414yes—
1263C2×C22⋊C4C2414yes—
1264C2×C22⋊C4C2414yes—
1265C2×C22⋊C4C2414yes—
1266C2×C22⋊C4C2414yes—
1267C2×C22⋊C4C2414yes—
1268C2×C22⋊C4C2414yes—
1269C2×C22⋊C4C2414yes—
1270C2×C22⋊C4C2414yes—
1271C2×C22⋊C4C2411yescharacteristic
1272C2×C22⋊C4C2411yescharacteristic
1273C2×C22⋊C4C2411yescharacteristic
1274C2×C22⋊C4C2411yescharacteristic
1275C2×C22⋊C4C2411yescharacteristic
1276C2×C22⋊C4C2411yescharacteristic
1277C2×C42C2×D418yes—
1278C2×C42C2×D418yes—
1279C2×C42C2×D418yes—
1280C2×C42C2412yes—
1281C2×C42C2412yes—
1282C2×C42C2412yes—
1283C2×C42C2412yes—
1284C2×C42C2412yes—
1285C2×C42C2412yes—
1286C2×C42C2412yes—
1287C2×C42C2414yes—
1288C2×C42C2414yes—
1289C2×C42C2414yes—
1290C2×C42C2414yes—
1291C2×C42C2411yescharacteristic
1292C2×C42C2411yescharacteristic
1293C2×C42C2411yescharacteristic
1294C2×C42C2411yescharacteristic
1295C2×C42C2411yescharacteristic
1296C2×C42C2411yescharacteristic
1297C2×C42C2411yescharacteristic
1298C2×C42C2411yescharacteristic
1299C2×C42C2411yescharacteristic
1300C2×C42C2411yescharacteristic
1301#95C2412yes—
1302#95C2412yes—
1303#95C2412yes—
1304#95C2412yes—
1305#95C2414yes—
1306#95C2412yes—
1307#95C2412yes—
1308#95C2414yes—
1309#95C2414yes—
1310#95C2414yes—
1311#95C2414yes—
1312#95C2414yes—
1313#95C2414yes—
1314#95C2414yes—
1315#95C2412yes—
1316#95C2414yes—
1317#95C2412yes—
1318#95C2414yes—
1319#95C2414yes—
1320#95C2414yes—
1321#95C2414yes—
1322#95C2414yes—
1323#95C2414yes—
1324#95C2414yes—
1325#95C2414yes—
1326#95C2414yes—
1327#95C2414yes—
1328#95C2414yes—
1329#95C2414yes—
1330#95C2414yes—
1331#95C2414yes—
1332#95C2414yes—
1333#95C2414yes—
1334#95C2414yes—
1335#95C2414yes—
1336#95C2414yes—
1337#95C2414yes—
1338#95C2414yes—
1339C24—24no—
1340C24—24no—
1341C24—28no—
1342C24—44no—
1343C24—42no—
1344C24—44no—
1345C24—42no—
1346C24—42no—
1347C24—44no—
1348C24—42no—
1349C24C2512yes—
1350C24C2512yes—
1351C24C2512yes—
1352C24C2512yes—
1353C24C2512yes—
1354C24C2511yescharacteristic
1355C24C2511yescharacteristic
1356C24C2511yescharacteristic
1357#41—416no—
1358#41—416no—
1359#41—416no—
1360#41—88no—
1361#41—88no—
1362C2×Q8—22no—
1363C2×Q8—22no—
1364C2×Q8—22no—
1365C2×Q8—22no—
1366C2×Q8—22no—
1367C2×Q8—24no—
1368C2×Q8—24no—
1369C2×Q8—42no—
1370C2×Q8—42no—
1371C2×Q8—42no—
1372C2×Q8—42no—
1373C2×Q8—42no—
1374C2×Q8—42no—
1375C2×Q8—44no—
1376C2×Q8—44no—
1377C2×Q8—88no—
1378C2×Q8—88no—
1379C2×Q8C22×D414yes—
1380C2×D4—24no—
1381C2×D4—24no—
1382C2×D4—24no—
1383C2×D4—24no—
1384C2×D4—24no—
1385C2×D4—24no—
1386C2×D4—28no—
1387C2×D4—28no—
1388C2×D4—28no—
1389C2×D4—24no—
1390C2×D4—24no—
1391C2×D4—24no—
1392C2×D4—24no—
1393C2×D4—24no—
1394C2×D4—24no—
1395C2×D4—24no—
1396C2×D4—24no—
1397C2×D4—22no—
1398C2×D4—22no—
1399C2×D4—22no—
1400C2×D4—22no—
1401C2×D4—22no—
1402C2×D4—24no—
1403C2×D4—24no—
1404C2×D4—24no—
1405C2×D4—24no—
1406C2×D4—24no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—42no—
1410C2×D4—42no—
1411C2×D4—42no—
1412C2×D4—42no—
1413C2×D4—42no—
1414C2×D4—42no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—42no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—44no—
1424C2×D4—42no—
1425C2×D4—42no—
1426C2×D4—42no—
1427C2×D4—42no—
1428C2×D4—44no—
1429C2×D4—44no—
1430C2×D4—44no—
1431C2×D4—44no—
1432C2×D4—44no—
1433C2×D4—44no—
1434C2×D4—44no—
1435C2×D4—42no—
1436C2×D4—42no—
1437C2×D4—42no—
1438C2×D4—44no—
1439C2×D4—42no—
1440C2×D4—42no—
1441C2×D4—44no—
1442C2×D4—44no—
1443C2×D4—44no—
1444C2×D4—44no—
1445C2×D4—44no—
1446C2×D4—44no—
1447C2×D4—44no—
1448C2×D4—44no—
1449C2×D4—44no—
1450C2×D4—432no—
1451C2×D4—88no—
1452C2×D4—88no—
1453C2×D4C22×D414yes—
1454C2×D4C22×D414yes—
1455C2×D4C22×D414yes—
1456C22×C4—24no—
1457C22×C4—24no—
1458C22×C4—24no—
1459C22×C4—24no—
1460C22×C4—24no—
1461C22×C4—28no—
1462C22×C4—24no—
1463C22×C4—24no—
1464C22×C4—24no—
1465C22×C4—24no—
1466C22×C4—24no—
1467C22×C4—24no—
1468C22×C4—24no—
1469C22×C4—24no—
1470C22×C4—24no—
1471C22×C4—24no—
1472C22×C4—24no—
1473C22×C4—41no—
1474C22×C4—41no—
1475C22×C4—41no—
1476C22×C4—41no—
1477C22×C4—41no—
1478C22×C4—41no—
1479C22×C4—44no—
1480C22×C4—42no—
1481C22×C4—42no—
1482C22×C4—42no—
1483C22×C4—44no—
1484C22×C4—44no—
1485C22×C4—42no—
1486C22×C4—42no—
1487C22×C4—42no—
1488C22×C4—44no—
1489C22×C4—44no—
1490C22×C4—44no—
1491C22×C4—44no—
1492C22×C4—42no—
1493C22×C4—42no—
1494C22×C4—44no—
1495C22×C4—44no—
1496C22×C4—44no—
1497C22×C4—42no—
1498C22×C4—42no—
1499C22×C4—44no—
1500C22×C4—44no—
1501C22×C4—42no—
1502C22×C4—42no—
1503C22×C4—42no—
1504C22×C4—42no—
1505C22×C4—42no—
1506C22×C4—44no—
1507C22×C4—44no—
1508C22×C4—44no—
1509C22×C4C22×D414yes—
1510C22×C4C22×D414yes—
1511C22×C4C22×D414yes—
1512C22×C4C22×D414yes—
1513C22×C4C22×D414yes—
1514C22×C4C22×D414yes—
1515C22×C4C22×D414yes—
1516C22×C4C22×D414yes—
1517C22×C4C22×D414yes—
1518C22×C4C2514yes—
1519C22×C4C2514yes—
1520C22×C4C2514yes—
1521C22×C4C2514yes—
1522C22×C4C2512yes—
1523C22×C4C2512yes—
1524C22×C4C2512yes—
1525C22×C4C2512yes—
1526C22×C4C2512yes—
1527C22×C4C2512yes—
1528C22×C4C2512yes—
1529C22×C4C2512yes—
1530C22×C4C2512yes—
1531C22×C4C2512yes—
1532C22×C4C2512yes—
1533C22×C4C2511yescharacteristic
1534C22×C4C2511yescharacteristic
1535C22×C4C2511yescharacteristic
1536C22×C4C2511yescharacteristic
1537C22×C4C2511yescharacteristic
1538C22×C4C2511yescharacteristic
1539C22×C4C2511yescharacteristic
1540C22×C4C2511yescharacteristic
1541C22×C4C2511yescharacteristic
1542C22×C4C2511yescharacteristic
1543C22×C4C2511yescharacteristic
1544C22×C4C2511yescharacteristic
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—24no—
1548C4⋊C4—24no—
1549C4⋊C4—24no—
1550C4⋊C4—24no—
1551C4⋊C4—22no—
1552C4⋊C4—22no—
1553C4⋊C4—22no—
1554C4⋊C4—22no—
1555C4⋊C4—24no—
1556C4⋊C4—24no—
1557C4⋊C4—24no—
1558C4⋊C4—24no—
1559C4⋊C4—24no—
1560C4⋊C4—24no—
1561C4⋊C4—24no—
1562C4⋊C4—24no—
1563C4⋊C4—24no—
1564C4⋊C4—24no—
1565C4⋊C4—24no—
1566C4⋊C4—24no—
1567C4⋊C4—24no—
1568C4⋊C4—24no—
1569C4⋊C4—24no—
1570C4⋊C4—24no—
1571C4⋊C4—24no—
1572C4⋊C4—24no—
1573C4⋊C4—22no—
1574C4⋊C4—22no—
1575C4⋊C4—24no—
1576C4⋊C4—24no—
1577C4⋊C4—24no—
1578C4⋊C4—24no—
1579C4⋊C4—24no—
1580C4⋊C4—24no—
1581C4⋊C4—42no—
1582C4⋊C4—42no—
1583C4⋊C4—42no—
1584C4⋊C4—44no—
1585C4⋊C4—44no—
1586C4⋊C4—44no—
1587C4⋊C4—44no—
1588C4⋊C4—44no—
1589C4⋊C4—44no—
1590C4⋊C4—42no—
1591C4⋊C4—44no—
1592C4⋊C4—44no—
1593C4⋊C4—44no—
1594C4⋊C4—44no—
1595C4⋊C4—44no—
1596C4⋊C4—44no—
1597C4⋊C4—44no—
1598C4⋊C4—44no—
1599C4⋊C4C22×D414yes—
1600C4⋊C4C22×D414yes—
1601C4⋊C4C22×D414yes—
1602C4⋊C4C22×D414yes—
1603C4⋊C4C22×D414yes—
1604C4⋊C4C22×D414yes—
1605C22⋊C4—24no—
1606C22⋊C4—24no—
1607C22⋊C4—24no—
1608C22⋊C4—24no—
1609C22⋊C4—24no—
1610C22⋊C4—24no—
1611C22⋊C4—24no—
1612C22⋊C4—28no—
1613C22⋊C4—24no—
1614C22⋊C4—24no—
1615C22⋊C4—24no—
1616C22⋊C4—24no—
1617C22⋊C4—24no—
1618C22⋊C4—24no—
1619C22⋊C4—24no—
1620C22⋊C4—24no—
1621C22⋊C4—24no—
1622C22⋊C4—24no—
1623C22⋊C4—24no—
1624C22⋊C4—24no—
1625C22⋊C4—24no—
1626C22⋊C4—24no—
1627C22⋊C4—24no—
1628C22⋊C4—24no—
1629C22⋊C4—24no—
1630C22⋊C4—24no—
1631C22⋊C4—24no—
1632C22⋊C4—24no—
1633C22⋊C4—24no—
1634C22⋊C4—24no—
1635C22⋊C4—24no—
1636C22⋊C4—24no—
1637C22⋊C4—24no—
1638C22⋊C4—24no—
1639C22⋊C4—24no—
1640C22⋊C4—24no—
1641C22⋊C4—24no—
1642C22⋊C4—24no—
1643C22⋊C4—24no—
1644C22⋊C4—24no—
1645C22⋊C4—44no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—44no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—44no—
1662C22⋊C4—44no—
1663C22⋊C4—44no—
1664C22⋊C4—44no—
1665C22⋊C4—44no—
1666C22⋊C4—44no—
1667C22⋊C4—44no—
1668C22⋊C4—44no—
1669C22⋊C4—44no—
1670C22⋊C4—44no—
1671C22⋊C4—44no—
1672C22⋊C4—44no—
1673C22⋊C4—44no—
1674C22⋊C4—44no—
1675C22⋊C4—44no—
1676C22⋊C4C22×D414yes—
1677C22⋊C4C22×D414yes—
1678C22⋊C4C22×D414yes—
1679C22⋊C4C22×D414yes—
1680C22⋊C4C22×D414yes—
1681C22⋊C4C22×D414yes—
1682C42—24no—
1683C42—24no—
1684C42—24no—
1685C42—24no—
1686C42—24no—
1687C42—24no—
1688C42—24no—
1689C42—44no—
1690C42—44no—
1691C42—44no—
1692C42—44no—
1693C42C22×D414yes—
1694C42C22×D414yes—
1695C42C22×D414yes—
1696C42C22×D414yes—
1697C42C22×D414yes—
1698C42C22×D414yes—
1699C42C22×D414yes—
1700C42C22×D414yes—
1701C42C22×D414yes—
1702C42C22×D414yes—
1703C23—21no—
1704C23—22no—
1705C23—21no—
1706C23—22no—
1707C23—22no—
1708C23—21no—
1709C23—22no—
1710C23—21no—
1711C23—22no—
1712C23—21no—
1713C23—21no—
1714C23—22no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—24no—
1720C23—24no—
1721C23—24no—
1722C23—24no—
1723C23—24no—
1724C23—22no—
1725C23—22no—
1726C23—24no—
1727C23—24no—
1728C23—22no—
1729C23—22no—
1730C23—24no—
1731C23—24no—
1732C23—22no—
1733C23—24no—
1734C23—22no—
1735C23—22no—
1736C23—22no—
1737C23—22no—
1738C23—22no—
1739C23—48no—
1740C23—48no—
1741C23—84no—
1742C23—84no—
1743C23—88no—
1744C23—88no—
1745C23—84no—
1746C23—84no—
1747C23—164no—
1748C23—164no—
1749C23C23×D412yes—
1750C23C23×D412yes—
1751C23C23×D412yes—
1752C23#58514yes—
1753C23C2611yescharacteristic
1754Q8—44no—
1755Q8—44no—
1756Q8—44no—
1757Q8—44no—
1758Q8—44no—
1759Q8—44no—
1760Q8—84no—
1761Q8—84no—
1762D4—28no—
1763D4—28no—
1764D4—44no—
1765D4—48no—
1766D4—44no—
1767D4—44no—
1768D4—44no—
1769D4—44no—
1770D4—44no—
1771D4—48no—
1772D4—48no—
1773D4—48no—
1774D4—48no—
1775D4—84no—
1776D4—84no—
1777D4—84no—
1778D4—84no—
1779D4—84no—
1780D4—84no—
1781D4—84no—
1782D4—84no—
1783D4—84no—
1784D4—84no—
1785D4—84no—
1786D4—84no—
1787D4—88no—
1788D4—88no—
1789D4—88no—
1790D4—164no—
1791D4—164no—
1792D4—164no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—21no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—21no—
1801C2×C4—21no—
1802C2×C4—21no—
1803C2×C4—22no—
1804C2×C4—22no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—28no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—22no—
1818C2×C4—22no—
1819C2×C4—22no—
1820C2×C4—22no—
1821C2×C4—24no—
1822C2×C4—24no—
1823C2×C4—24no—
1824C2×C4—24no—
1825C2×C4—24no—
1826C2×C4—24no—
1827C2×C4—24no—
1828C2×C4—24no—
1829C2×C4—24no—
1830C2×C4—24no—
1831C2×C4—24no—
1832C2×C4—24no—
1833C2×C4—22no—
1834C2×C4—24no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—24no—
1838C2×C4—24no—
1839C2×C4—24no—
1840C2×C4—24no—
1841C2×C4—24no—
1842C2×C4—24no—
1843C2×C4—22no—
1844C2×C4—24no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—44no—
1848C2×C4—44no—
1849C2×C4—44no—
1850C2×C4—44no—
1851C2×C4—44no—
1852C2×C4—44no—
1853C2×C4—44no—
1854C2×C4—44no—
1855C2×C4—48no—
1856C2×C4—48no—
1857C2×C4—48no—
1858C2×C4—84no—
1859C2×C4—84no—
1860C2×C4—84no—
1861C2×C4—84no—
1862C2×C4—84no—
1863C2×C4—84no—
1864C2×C4—84no—
1865C2×C4—84no—
1866C2×C4—88no—
1867C2×C4—84no—
1868C2×C4—84no—
1869C2×C4—84no—
1870C2×C4—84no—
1871C2×C4—164no—
1872C2×C4C23×D412yes—
1873C2×C4C23×D412yes—
1874C2×C4C23×D412yes—
1875C2×C4C23×D412yes—
1876C2×C4C23×D412yes—
1877C2×C4C23×D412yes—
1878C2×C4C23×D412yes—
1879C2×C4C23×D412yes—
1880C2×C4C23×D412yes—
1881C2×C4C23×D412yes—
1882C2×C4C23×D412yes—
1883C2×C4C23×D412yes—
1884C22—24no—
1885C22—24no—
1886C22—22no—
1887C22—22no—
1888C22—22no—
1889C22—22no—
1890C22—22no—
1891C22—22no—
1892C22—22no—
1893C22—22no—
1894C22—42no—
1895C22—42no—
1896C22—42no—
1897C22—42no—
1898C22—44no—
1899C22—44no—
1900C22—44no—
1901C22—44no—
1902C22—44no—
1903C22—44no—
1904C22—44no—
1905C22—44no—
1906C22—44no—
1907C22—44no—
1908C22—42no—
1909C22—42no—
1910C22—42no—
1911C22—42no—
1912C22—42no—
1913C22—42no—
1914C22—42no—
1915C22—42no—
1916C22—42no—
1917C22—42no—
1918C22—42no—
1919C22—42no—
1920C22—42no—
1921C22—42no—
1922C22—42no—
1923C22—168no—
1924C22—168no—
1925C22#344914yes—
1926C22C24×D411yescharacteristic
1927C22C2×#58512yes—
1928C22H(7,𝔽2)11yescharacteristic
1929C22H(7,𝔽2)12yes—
1930C222−1+611yescharacteristic
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—22no—
1936C4—22no—
1937C4—22no—
1938C4—22no—
1939C4—22no—
1940C4—22no—
1941C4—22no—
1942C4—22no—
1943C4—44no—
1944C4—44no—
1945C4—44no—
1946C4—44no—
1947C4—42no—
1948C4—42no—
1949C4—42no—
1950C4—42no—
1951C4—42no—
1952C4—42no—
1953C4—42no—
1954C4—42no—
1955C4—42no—
1956C4—42no—
1957C4—42no—
1958C2—24no—
1959C2—42no—
1960C2—42no—
1961C2—82no—
1962C2—82no—
1963C2—82no—
1964C2—82no—
1965C2—82no—
1966C2C2×#344911yescharacteristic
1967C2#6285211yescharacteristic
1968C2#6285311yescharacteristic
1969C2#6305512yes—
1970C2#6305912yes—
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×#3512C2semidirect
2. C2×#3514C2semidirect
3. #42392C2semidirect
4. #42307C2semidirect
5. #42175C2semidirect
6. #41987C2semidirect
7. #41958C2semidirect
8. #41952C2semidirect
9. #41945C2semidirect
10. #41942C2semidirect
11. #41936C2semidirect
12. #40606C2semidirect
13. #40603C2semidirect
14. #40594C2semidirect
15. #40591C2semidirect
16. #40534C2semidirect
17. #40515C2semidirect
18. #37608C2semidirect
19. #37607C2semidirect
20. #37606C2semidirect
21. #37554C2semidirect
22. #37554C2semidirect
23. #37546C2semidirect
24. #37541C2semidirect
25. #37541C2semidirect
26. #37536C2semidirect
27. #36687C2semidirect
28. #36684C2semidirect
29. C2×#2820C2semidirect
30. #35990C2semidirect
31. #35979C2semidirect
32. #35929C2semidirect
33. #35906C2semidirect
34. #35777C2semidirect
35. #34191C2semidirect
43. C2×#553C22semidirect
44. C2×#553C22semidirect
45. C2×#553C22semidirect
46. C2×#553C22semidirect
47. C2×#552C22semidirect
48. C2×#552C22semidirect
59. C2×#541C22semidirect
60. C2×#541C22semidirect
61. C2×#540C22semidirect
62. C2×#540C22semidirect
68. C2×#532C22semidirect
72. C2×#529C22semidirect
73. C2×#529C22semidirect
74. C2×#529C22semidirect
75. C2×#529C22semidirect
76. C22×#125C22semidirect
79. C2×#520C22semidirect
80. C2×#520C22semidirect
83. #2823C22semidirect
84. #2822C22semidirect
85. #2822C22semidirect
86. #2821C22semidirect
90. #2820C22semidirect
91. #2820C22semidirect
92. #2820C22semidirect
93. #2820C22semidirect
94. #2820C22semidirect
95. #2820C22semidirect
96. #2820C22semidirect
97. #2820C22semidirect
98. #2820C22semidirect
99. #2820C22semidirect
102. #2819C22semidirect
103. #2819C22semidirect
104. #2819C22semidirect
105. #2819C22semidirect
107. #2816C22semidirect
108. #2815C22semidirect
109. #2814C22semidirect
110. #2814C22semidirect
112. #2813C22semidirect
113. #2813C22semidirect
114. #2732C22semidirect
115. #2730C22semidirect
116. #2730C22semidirect
117. #2728C22semidirect
118. #2725C22semidirect
119. #2715C22semidirect
120. #2713C22semidirect
122. #2707C22semidirect
123. #2705C22semidirect
124. #2691C22semidirect
125. #2689C22semidirect
126. #2688C22semidirect
128. #2682C22semidirect
129. #2676C22semidirect
130. #2675C22semidirect
131. #2674C22semidirect
133. #2672C22semidirect
134. #2671C22semidirect
136. #2668C22semidirect
137. #2668C22semidirect
138. #2664C22semidirect
139. #2663C22semidirect
140. #2663C22semidirect
142. #2662C22semidirect
143. #2662C22semidirect
145. #2661C22semidirect
146. #2657C22semidirect
148. #2656C22semidirect
149. #2640C22semidirect
150. #2639C22semidirect
151. #2639C22semidirect
152. #2638C22semidirect
153. #2638C22semidirect
154. #2637C22semidirect
155. #2637C22semidirect
157. #2636C22semidirect
158. #2636C22semidirect
159. #2636C22semidirect
161. #2635C22semidirect
162. #2634C22semidirect
163. #2633C22semidirect
164. #2632C22semidirect
166. #2631C22semidirect
167. #2631C22semidirect
168. #2630C22semidirect
169. #2630C22semidirect
170. #2628C22semidirect
171. #2628C22semidirect
172. #2626C22semidirect
173. #2623C22semidirect
174. #2623C22semidirect
175. #2620C22semidirect
177. #2619C22semidirect
178. #2618C22semidirect
179. #2617C22semidirect
180. #2617C22semidirect
181. #2614C22semidirect
183. #2611C22semidirect
184. #2611C22semidirect
186. #2610C22semidirect
187. #2609C22semidirect
188. #2604C22semidirect
189. #2604C22semidirect
190. #2603C22semidirect
191. #2603C22semidirect
192. #2601C22semidirect
193. #2601C22semidirect
194. #2599C22semidirect
195. #2599C22semidirect
197. #2598C22semidirect
198. #2592C22semidirect
200. #2583C22semidirect
201. #2580C22semidirect
202. #2580C22semidirect
203. #2579C22semidirect
204. #2564C22semidirect
205. #2564C22semidirect
206. #2561C22semidirect
207. #2559C22semidirect
208. #2558C22semidirect
209. #2556C22semidirect
210. #2555C22semidirect
211. #2544C22semidirect
213. #2543C22semidirect
214. #2543C22semidirect
215. #2540C22semidirect
216. #2539C22semidirect
217. #2535C22semidirect
218. #2535C22semidirect
219. #2534C22semidirect
220. #2521C22semidirect
221. #2481C22semidirect
222. #2480C22semidirect
223. #2479C22semidirect
224. #2477C22semidirect
225. #2475C22semidirect
226. #2471C22semidirect
227. #2471C22semidirect
228. #2471C22semidirect
229. #2466C22semidirect
230. #2461C22semidirect
231. #2460C22semidirect
232. #2456C22semidirect
233. #2456C22semidirect
234. #2450C22semidirect
235. #2449C22semidirect
236. #2449C22semidirect
237. #2445C22semidirect
240. #2443C22semidirect
241. #2443C22semidirect
242. #2436C22semidirect
244. #2430C22semidirect
245. #2430C22semidirect
246. #2430C22semidirect
247. #2430C22semidirect
248. #2428C22semidirect
251. #2424C22semidirect
252. #2424C22semidirect
253. #2424C22semidirect
254. #2416C22semidirect
255. #2416C22semidirect
256. #2416C22semidirect
257. #2411C22semidirect
260. #2409C22semidirect
262. #2404C22semidirect
263. #2404C22semidirect
264. #2398C22semidirect
265. #2397C22semidirect
266. #2396C22semidirect
267. #2396C22semidirect
268. C2×#399C22semidirect
269. #2392C22semidirect
270. #2392C22semidirect
271. #2392C22semidirect
272. #2392C22semidirect
273. C2×#397C22semidirect
274. C2×#396C22semidirect
275. #2388C22semidirect
276. #2388C22semidirect
277. C2×#395C22semidirect
279. #2364C22semidirect
280. #2361C22semidirect
281. #2358C22semidirect
282. #2358C22semidirect
283. #2355C22semidirect
285. #2352C22semidirect
286. D4×C4⋊C4C22semidirect
287. #2346C22semidirect
288. #2343C22semidirect
289. #2343C22semidirect
291. #2320C22semidirect
293. #2318C22semidirect
294. #2285C22semidirect
295. #2283C22semidirect
296. #2283C22semidirect
297. #2283C22semidirect
298. C2×#382C22semidirect
299. C2×#382C22semidirect
300. #2275C22semidirect
475. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35122
C2×#35142
#423922
#423072
#421752
#419872
#419582
#419522
#419452
#419422
#419362
#406062
#406032
#405942
#405912
#405342
#405152
#376082
#376072
#376062
#375542
#375462
#375412
#375362
#366872
#366842
C2×#28202
#359902
#359792
#359292
#359062
#357772
#341912