Finite Group Databasebeta

← #7647455

Subgroups — #7647455

Order 512.

7023 conjugacy classes of subgroups.

The subgroup lattice has 1929 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3517C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#42889C211yesmaximal, characteristic, complemented
4#42888C211yesmaximal, characteristic, complemented
5#42885C211yesmaximal, characteristic, complemented
6#42884C211yesmaximal, characteristic, complemented
7#42483C211yesmaximal, characteristic, complemented
8#42482C211yesmaximal, characteristic, complemented
9#42479C211yesmaximal, characteristic, complemented
10#42478C211yesmaximal, characteristic, complemented
11#40605C212yesmaximal, complemented
12#40604C212yesmaximal, complemented
13#40601C212yesmaximal, complemented
14#40600C212yesmaximal, complemented
15#39962C212yesmaximal, complemented
16#39961C212yesmaximal, complemented
17#39958C212yesmaximal, complemented
18#39957C212yesmaximal, complemented
19#39946C214yesmaximal, complemented
20#39944C214yesmaximal, complemented
21#37552C212yesmaximal, complemented
22#37550C212yesmaximal, complemented
23#36964C214yesmaximal, complemented
24#36713C214yesmaximal, complemented
25#35526C212yesmaximal, complemented
26#35525C212yesmaximal, complemented
27#35303C211yesmaximal, characteristic, complemented
28#35301C212yesmaximal, complemented
29#35226C212yesmaximal, complemented
30#35212C211yesmaximal, characteristic, complemented
31#35156C212yesmaximal, complemented
32#35118C212yesmaximal, complemented
33#34977C211yesmaximal, characteristic, complemented
34#34876C211yesmaximal, characteristic, complemented
35#34056C211yesmaximal, characteristic, complemented
36#3517—216no—
37C2×#557C2211yescharacteristic, complemented
38#3475—216no—
39C2×#556C2211yescharacteristic
40C2×#555C2211yescharacteristic
41C2×#554C2211yescharacteristic
42C2×#553C2212yes—
43C2×#553C2214yescomplemented
44C2×#553C2212yescomplemented
45C2×#552C2212yes—
46C2×#552C2211yescharacteristic
47C2×#552C2211yescharacteristic
48C2×#551C2212yes—
49C2×#551C2212yes—
50C2×#550C2212yes—
51C2×#550C2211yescharacteristic
52C2×#550C2211yescharacteristic, complemented
53C2×#550C2212yescomplemented
54C2×#547C2211yescharacteristic
55C2×#547C2211yescharacteristic
56C2×#547C2212yescomplemented
57C2×#546C2211yescharacteristic
58C2×#546C2211yescharacteristic
59C2×#540C2212yes—
60C2×#540C2214yescomplemented
61C2×#533C2211yescharacteristic
62C2×#532C2211yescharacteristic, complemented
63C2×#532C2212yescomplemented
64C2×#529C2212yes—
65C2×#529C2211yescharacteristic
66C2×#529C2212yes—
67C2×#529C2211yescharacteristic
68C2×#529C2212yescomplemented
69C2×#529C2211yescharacteristic, complemented
70C2×#525C2212yes—
71C2×#520C2212yescomplemented
72C2×C4×#41C2211yescharacteristic
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2211yescharacteristic
75C22×C4×D4C2211yescharacteristic
76C22×#117C2212yes—
77#2860C2214yescomplemented
78#2856C2212yes—
79#2854C2214yescomplemented
80#2853C2214yescomplemented
81#2850C2212yescomplemented
82#2849C2214yes—
83#2847C2214yes—
84#2821C2212yescomplemented
85#2821C2212yescomplemented
86#2818C2212yescomplemented
87#2818C2212yescomplemented
88#2817C2212yescomplemented
89#2816C2212yes—
90#2816C2212yescomplemented
91#2815C2212yes—
92#2721C2214yescomplemented
93#2719C2214yescomplemented
94#2714C2214yescomplemented
95#2711C2214yescomplemented
96#2709C2214yescomplemented
97#2708C2214yescomplemented
98#2706C2214yes—
99#2703C2214yes—
100#2695C2214yescomplemented
101#2694C2214yes—
102#2693C2214yes—
103#2691C2214yescomplemented
104#2690C2214yescomplemented
105#2688C2214yescomplemented
106#2687C2214yescomplemented
107#2681C2214yescomplemented
108#2680C2214yescomplemented
109#2678C2214yes—
110#2676C2214yescomplemented
111#2676C2214yescomplemented
112#2675C2214yescomplemented
113#2673C2214yes—
114#2673C2214yes—
115#2673C2214yescomplemented
116#2672C2214yescomplemented
117#2672C2214yescomplemented
118#2671C2214yes—
119#2671C2214yes—
120#2671C2214yescomplemented
121#2669C2214yes—
122#2669C2214yes—
123#2668C2214yes—
124#2664C2214yescomplemented
125#2663C2212yescomplemented
126#2662C2214yescomplemented
127#2661C2214yes—
128#2661C2214yescomplemented
129#2661C2212yescomplemented
130#2660C2211yescharacteristic, complemented
131#2657C2211yescharacteristic
132#2641C2211yescharacteristic, complemented
133#2640C2211yescharacteristic
134#2637C2212yescomplemented
135#2637C2212yescomplemented
136#2636C2212yescomplemented
137#2636C2212yescomplemented
138#2635C2214yes—
139#2635C2214yescomplemented
140#2630C2214yes—
141#2630C2214yescomplemented
142#2628C2212yes—
143#2628C2212yescomplemented
144#2627C2212yescomplemented
145#2626C2212yes—
146#2619C2212yes—
147#2619C2212yescomplemented
148#2618C2212yescomplemented
149#2617C2212yes—
150#2616C2212yescomplemented
151#2616C2212yescomplemented
152#2615C2212yes—
153#2615C2212yes—
154#2611C2211yescharacteristic
155#2611C2212yescomplemented
156#2611C2211yescharacteristic, complemented
157#2610C2212yes—
158#2610C2211yescharacteristic
159#2610C2212yescomplemented
160#2610C2211yescharacteristic, complemented
161#2610C2212yescomplemented
162#2610C2212yescomplemented
163#2610C2212yescomplemented
164#2609C2214yes—
165#2609C2214yescomplemented
166#2604C2212yescomplemented
167#2603C2212yes—
168#2603C2214yescomplemented
169#2602C2214yes—
170#2602C2214yescomplemented
171#2602C2214yescomplemented
172#2601C2214yes—
173#2601C2214yescomplemented
174#2599C2212yes—
175#2599C2212yescomplemented
176#2599C2214yescomplemented
177#2598C2212yes—
178#2598C2214yes—
179#2598C2212yescomplemented
180#2598C2214yescomplemented
181#2598C2214yescomplemented
182#2592C2211yescharacteristic
183#2591C2214yescomplemented
184#2584C2211yescharacteristic, complemented
185#2567C2211yescharacteristic, complemented
186#2564C2211yescharacteristic
187#2564C2211yescharacteristic, complemented
188#2563C2211yescharacteristic
189#2562C2214yescomplemented
190#2562C2211yescharacteristic, complemented
191#2548C2211yescharacteristic, complemented
192#2543C2211yescharacteristic
193#2543C2211yescharacteristic, complemented
194#2543C2214yescomplemented
195#2541C2211yescharacteristic
196#2540C2211yescharacteristic
197#2540C2214yescomplemented
198#2539C2214yes—
199#2536C2214yescomplemented
200#2535C2214yescomplemented
201#2500C2212yescomplemented
202#2498C2212yescomplemented
203#2481C2214yescomplemented
204#2476C2214yescomplemented
205#2473C2214yescomplemented
206#2470C2214yescomplemented
207#2467C2214yescomplemented
208#2464C2214yes—
209#2463C2214yes—
210#2460C2214yescomplemented
211#2457C2214yes—
212#2456C2214yescomplemented
213#2456C2214yescomplemented
214#2455C2214yescomplemented
215#2454C2212yes—
216#2454C2212yescomplemented
217#2453C2212yescomplemented
218#2452C2212yescomplemented
219#2449C2214yes—
220#2448C2212yes—
221#2446C2212yescomplemented
222#2445C2212yes—
223#2445C2212yes—
224#2443C2214yescomplemented
225#2442C2212yes—
226#2442C2212yescomplemented
227#2441C2212yescomplemented
228#2440C2212yescomplemented
229#2433C2212yes—
230#2432C2212yescomplemented
231#2431C2212yes—
232#2431C2212yes—
233#2431C2212yes—
234#2430C2212yes—
235#2430C2212yescomplemented
236#2430C2212yescomplemented
237#2428C2212yes—
238#2428C2212yes—
239#2427C2212yes—
240#2426C2212yescomplemented
241#2424C2214yes—
242#2423C2212yes—
243#2422C2212yes—
244#2421C2212yescomplemented
245#2420C2212yes—
246#2418C2214yes—
247#2417C2212yes—
248#2416C2212yes—
249#2416C2212yes—
250#2415C2212yescomplemented
251#2414C2212yes—
252#2414C2212yes—
253#2414C2212yescomplemented
254#2414C2212yescomplemented
255#2408C2212yes—
256#2407C2212yes—
257#2407C2212yes—
258#2407C2212yescomplemented
259#2406C2212yescomplemented
260#2406C2212yescomplemented
261#2404C2212yes—
262#2404C2212yes—
263#2399C2211yescharacteristic, complemented
264#2398C2211yescharacteristic
265#2398C2211yescharacteristic, complemented
266#2397C2211yescharacteristic
267#2388C2212yes—
268#2388C2212yescomplemented
269#2328C2212yes—
270#2326C2212yescomplemented
271#2324C2214yes—
272#2324C2212yes—
273#2324C2214yescomplemented
274#2323C2212yescomplemented
275#2322C2214yescomplemented
276#2321C2214yes—
277#2320C2211yescharacteristic, complemented
278#2320C2211yescharacteristic, complemented
279#2320C2212yescomplemented
280#2319C2212yes—
281#2319C2211yescharacteristic
282#2319C2211yescharacteristic
283#2318C2214yescomplemented
284#2318C2212yescomplemented
285#2318C2212yescomplemented
286C4×#127C2212yes—
287C4×#124C2212yescomplemented
288C4×#121C2212yes—
289C4×#121C2212yes—
290C4×#121C2212yescomplemented
291C4×#121C2212yescomplemented
292#2298C2214yescomplemented
293#2297C2212yes—
294#2296C2212yescomplemented
295#2290C2212yes—
296#2290C2212yescomplemented
297#2283C2212yescomplemented
298#2283C2212yescomplemented
299C4×#117C2211yescharacteristic, complemented
300C2×#376C2211yescharacteristic, complemented
301C22×#41C2311yescharacteristic
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2312yes—
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2311yescharacteristic
308C23×D4C2311yescharacteristic
309C24×C4C2312yes—
310#557—28no—
311#556—28no—
312#555—28no—
313#554—28no—
314#553—216no—
315#553—232no—
316#553—216no—
317#552—28no—
318#552—216no—
319#552—28no—
320#551—216no—
321#551—216no—
322#550—216no—
323#550—28no—
324#550—28no—
325#550—216no—
326#547—28no—
327#547—28no—
328#547—216no—
329#546—28no—
330#546—28no—
331#540—216no—
332#540—232no—
333#533—28no—
334#532—216no—
335#532—28no—
336C2×C4⋊Q8C2311yescharacteristic
337C2×C4⋊Q8C2312yes—
338C2×C4⋊Q8C2311yescharacteristic
339C2×C4⋊Q8C2311yescharacteristic
340C2×#127C2312yes—
341C2×#127C2311yescharacteristic
342C2×#127C2314yes—
343C2×#127C2312yes—
344C2×#127C2312yes—
345C2×#127C2312yes—
346#529—28no—
347#529—216no—
348#529—216no—
349#529—28no—
350#529—216no—
351#529—28no—
352C2×#126C2312yes—
353C2×#126C2312yes—
354C2×#126C2314yes—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#125C2312yes—
361C2×#125C2311yescharacteristic
362C2×#125C2311yescharacteristic
363C2×#125C2311yescharacteristic
364C2×#125C2312yes—
365C2×#125C2312yes—
366C2×#125C2312yes—
367C2×#125C2314yes—
368C2×#124C2311yescharacteristic
369C2×#124C2312yes—
370C2×#124C2311yescharacteristic
371C2×#124C2312yes—
372C2×#124C2312yes—
373C2×#124C2311yescharacteristic
374C2×#124C2312yes—
375C2×#124C2312yes—
376#525—216no—
377C2×#123C2314yes—
378C2×#123C2312yes—
379C2×#123C2312yes—
380C2×#123C2312yes—
381C2×#123C2312yes—
382C2×#123C2312yes—
383C2×#123C2312yes—
384C2×#123C2314yes—
385C2×#123C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2314yes—
389C2×#123C2314yes—
390C2×#123C2314yes—
391C2×#123C2314yes—
392C2×#123C2314yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2311yescharacteristic
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2311yescharacteristic
398C2×C22⋊Q8C2311yescharacteristic
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2312yes—
401C2×C22⋊Q8C2312yes—
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2312yes—
404C2×C22⋊Q8C2312yes—
405C2×C22⋊Q8C2314yes—
406C2×C22⋊Q8C2314yes—
407C2×#121C2312yes—
408C2×#121C2312yes—
409C2×#121C2314yes—
410C2×#121C2314yes—
411C2×#121C2312yes—
412C2×#121C2311yescharacteristic
413C2×#121C2311yescharacteristic
414C2×#121C2312yes—
415C2×#121C2312yes—
416C2×#121C2312yes—
417C2×#121C2314yes—
418C2×#121C2314yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2314yes—
422C2×#121C2311yescharacteristic
423C2×#121C2314yes—
424C2×#121C2312yes—
425C2×#121C2314yes—
426C2×#121C2314yes—
427C2×#121C2312yes—
428C2×#121C2314yes—
429C2×#121C2312yes—
430C2×#121C2312yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2314yes—
434C2×#121C2314yes—
435C2×#121C2314yes—
436C2×#121C2314yes—
437C2×#120C2312yes—
438C2×#120C2312yes—
439C2×#120C2314yes—
440C2×#120C2314yes—
441C2×#120C2314yes—
442#520—216no—
443C4×#41—28no—
444C4×#41—28no—
445C4×#41D4116yescomplemented
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2312yes—
450C2×C4×Q8C2312yes—
451C2×C4×Q8C2311yescharacteristic
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2311yescharacteristic
456C2×C4×D4—28no—
457C2×C4×D4C2311yescharacteristic
458C2×C4×D4C2312yes—
459C2×C4×D4C2314yes—
460C2×C4×D4C2311yescharacteristic
461C2×C4×D4C2311yescharacteristic
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2314yes—
465C2×C4×D4C2311yescharacteristic
466C2×C4×D4C2312yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2314yes—
469C2×C4×D4C2312yes—
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2311yescharacteristic
475C2×C4×D4C2312yes—
476C2×C4×D4C2311yescharacteristic
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2311yescharacteristic
479C2×C4×D4C2312yes—
480C2×C4×D4C2312yes—
481C2×C4×D4C2314yes—
482C2×C4×D4C2312yes—
483C2×C4×D4C2312yes—
484C2×C4×D4C2312yes—
485C2×C4×D4C2314yes—
486C2×C4×D4C2314yes—
487C2×C4×D4C2312yes—
488C2×C4×D4C2312yes—
489C2×C4×D4C2311yescharacteristic
490C2×C4×D4C2311yescharacteristic
491C2×#117—216no—
492C2×#117C2312yes—
493C2×#117C2312yes—
494C2×#117C2312yes—
495C2×#117C2312yes—
496C2×#117C2312yes—
497C2×#117C2312yes—
498C2×#117C2314yes—
499C2×#117C2312yes—
500C2×#117C2311yescharacteristic
501C2×#117C2312yes—
502C2×#117C2311yescharacteristic
503C2×#117C2311yescharacteristic
504C2×#117C2311yescharacteristic
505C2×#117C2312yes—
506C2×#117C2312yes—
507C2×#117C2312yes—
508C2×#117C2311yescharacteristic
509C22×C4⋊C4C2312yes—
510C22×C4⋊C4C2312yes—
511C22×C4⋊C4C2311yescharacteristic
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2314yes—
514C22×C22⋊C4C2312yes—
515C22×C22⋊C4C2312yes—
516C22×C22⋊C4C2312yes—
517C22×C42C2312yes—
518C22×C42C2311yescharacteristic
519C22×C42C2311yescharacteristic
520C22×C42C2312yes—
521C22×C42C2312yes—
522C22×C42C2311yescharacteristic
523#400C2311yescharacteristic
524#400C2312yes—
525#400C2314yes—
526#400C2314yes—
527#400C2314yes—
528#400C2311yescharacteristic
529#400C2314yes—
530#400C2314yes—
531#400C2312yes—
532#399C2311yescharacteristic
533#399C2312yes—
534#399C2314yes—
535#399C2311yescharacteristic
536#399C2314yes—
537#399C2314yes—
538#399C2314yes—
539#399C2314yes—
540#399C2312yes—
541#398C2314yes—
542#398C2311yescharacteristic
543#398C2312yes—
544#398C2314yes—
545#398C2314yes—
546#398C2311yescharacteristic
547#398C2314yes—
548#398C2314yes—
549#398C2312yes—
550#398C2314yes—
551#398C2314yes—
552#398C2314yes—
553#397C2314yes—
554#397C2314yes—
555#397C2314yes—
556#397C2314yes—
557#397C2312yes—
558#397C2311yescharacteristic
559#397C2314yes—
560#397C2314yes—
561#397C2312yes—
562#397C2314yes—
563#397C2311yescharacteristic
564#396C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#395C2312yes—
573#395C2314yes—
574#395C2312yes—
575#395C2311yescharacteristic
576#395C2311yescharacteristic
577#395C2312yes—
578#395C2312yes—
579#395C2312yes—
580#395C2312yes—
581#394C2314yes—
582#394C2314yes—
583#394C2314yes—
584#394C2312yes—
585#394C2314yes—
586#394C2314yes—
587#394C2312yes—
588#394C2312yes—
589#394C2314yes—
590#394C2314yes—
591#394C2311yescharacteristic
592#394C2312yes—
593#394C2314yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2312yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2312yes—
603#394C2314yes—
604#394C2311yescharacteristic
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#393C2312yes—
614#393C2312yes—
615#393C2314yes—
616#393C2312yes—
617#393C2311yescharacteristic
618#393C2311yescharacteristic
619#393C2312yes—
620#393C2312yes—
621#393C2312yes—
622#392C2311yescharacteristic
623#392C2312yes—
624#392C2312yes—
625#392C2312yes—
626#392C2314yes—
627#392C2314yes—
628#392C2314yes—
629#392C2314yes—
630#392C2312yes—
631#392C2314yes—
632#392C2314yes—
633#392C2314yes—
634#392C2314yes—
635#392C2314yes—
636#392C2314yes—
637#392C2312yes—
638#392C2314yes—
639#392C2311yescharacteristic
640#392C2312yes—
641#392C2314yes—
642#392C2314yes—
643#392C2314yes—
644#392C2314yes—
645#392C2314yes—
646#392C2314yes—
647#391C2312yes—
648#391C2312yes—
649#391C2312yes—
650#391C2312yes—
651#391C2312yes—
652#390C2312yes—
653#390C2314yes—
654#390C2314yes—
655#390C2312yes—
656#390C2312yes—
657#390C2312yes—
658#390C2314yes—
659#390C2312yes—
660#390C2312yes—
661#390C2314yes—
662#390C2314yes—
663#390C2314yes—
664#390C2314yes—
665#390C2314yes—
666#390C2312yes—
667#390C2312yes—
668#390C2312yes—
669#390C2314yes—
670#390C2312yes—
671#390C2312yes—
672#390C2312yes—
673#390C2312yes—
674#389C2312yes—
675#389C2312yes—
676#389C2312yes—
677#389C2312yes—
678#389C2312yes—
679#389C2312yes—
680#389C2312yes—
681#389C2314yes—
682#389C2312yes—
683#389C2314yes—
684#389C2312yes—
685#389C2314yes—
686#389C2314yes—
687#389C2314yes—
688#389C2312yes—
689#388C2312yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2312yes—
699#388C2314yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2312yes—
708#388C2314yes—
709#388C2314yes—
710#388C2314yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2312yes—
715#388C2314yes—
716#388C2314yes—
717#388C2314yes—
718#388C2312yes—
719#388C2312yes—
720#388C2312yes—
721#388C2312yes—
722#387C2312yes—
723#387C2312yes—
724#387C2314yes—
725#387C2314yes—
726#387C2314yes—
727#387C2314yes—
728#387C2314yes—
729#387C2314yes—
730#387C2314yes—
731#387C2312yes—
732#387C2314yes—
733#387C2314yes—
734#387C2312yes—
735#387C2314yes—
736#387C2314yes—
737#386C2312yes—
738#386C2312yes—
739#386C2314yes—
740#386C2314yes—
741#386C2314yes—
742#386C2314yes—
743#386C2314yes—
744#386C2314yes—
745#386C2314yes—
746#386C2314yes—
747#386C2314yes—
748#386C2314yes—
749#386C2314yes—
750#386C2314yes—
751#386C2314yes—
752#386C2314yes—
753#386C2314yes—
754#386C2314yes—
755#386C2314yes—
756#386C2314yes—
757#386C2314yes—
758#386C2312yes—
759#386C2314yes—
760#386C2314yes—
761#386C2314yes—
762#386C2314yes—
763#386C2314yes—
764#386C2314yes—
765#386C2314yes—
766#386C2314yes—
767#386C2312yes—
768#386C2312yes—
769#386C2312yes—
770#386C2312yes—
771#386C2312yes—
772#385C2312yes—
773#385C2312yes—
774#385C2314yes—
775#385C2314yes—
776#385C2314yes—
777#385C2314yes—
778#385C2314yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2312yes—
788#385C2314yes—
789#385C2314yes—
790#385C2312yes—
791#385C2314yes—
792#385C2314yes—
793#384C2312yes—
794#384C2312yes—
795#383C2312yes—
796#383C2312yes—
797#383C2314yes—
798#382C2312yes—
799#382C2314yes—
800#382C2312yes—
801#382C2312yes—
802#382C2312yes—
803#381C2312yes—
804#381C2312yes—
805#381C2314yes—
806#381C2314yes—
807#380C2312yes—
808#380C2312yes—
809#380C2314yes—
810#380C2314yes—
811#380C2314yes—
812#380C2314yes—
813#380C2312yes—
814#380C2312yes—
815#380C2312yes—
816#380C2312yes—
817#380C2314yes—
818#380C2312yes—
819#380C2312yes—
820#380C2314yes—
821#380C2314yes—
822#379C2314yes—
823C4×C4⋊C4C2311yescharacteristic
824C4×C4⋊C4C2314yes—
825C4×C4⋊C4C2311yescharacteristic
826C4×C4⋊C4C2312yes—
827C4×C4⋊C4C2314yes—
828C4×C4⋊C4C2312yes—
829C4×C4⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2312yes—
832C4×C22⋊C4C2314yes—
833C4×C22⋊C4C2314yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2314yes—
836C4×C22⋊C4C2312yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2312yes—
839C4×C22⋊C4C2312yes—
840#376C2312yes—
841#376C2311yescharacteristic
842#376C2311yescharacteristic
843#376C2312yes—
844#376C2311yescharacteristic
845#376C2312yes—
846#376C2311yescharacteristic
847C2×#95C2311yescharacteristic
848C2×#95C2311yescharacteristic
849C2×#95C2312yes—
850C43C2312yes—
851C25C2412yes—
852C2×#41—28no—
853C2×#41—24no—
854C2×#41—24no—
855C2×#41—28no—
856C2×#41—28no—
857C2×#41—28no—
858C2×#41—42no—
859C2×#41—44no—
860C2×#41—42no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—44no—
864C2×#41—84no—
865C2×#41—84no—
866C2×#41—84no—
867C2×#41C2×D418yes—
868C22×Q8C2411yescharacteristic
869C22×Q8C2411yescharacteristic
870C22×Q8C2411yescharacteristic
871C22×Q8C2412yes—
872C22×Q8C2411yescharacteristic
873C22×Q8C2412yes—
874C22×D4—24no—
875C22×D4—44no—
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2411yescharacteristic
879C22×D4C2411yescharacteristic
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2414yes—
885C22×D4C2412yes—
886C22×D4C2414yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2411yescharacteristic
894C22×D4C2412yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2412yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2412yes—
904C23×C4—28no—
905C23×C4—44no—
906C23×C4—44no—
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2412yes—
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2414yes—
919C23×C4C2414yes—
920C23×C4C2414yes—
921C23×C4C2414yes—
922C23×C4C2412yes—
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2412yes—
926C23×C4C2412yes—
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2411yescharacteristic
930C23×C4C2412yes—
931C23×C4C2411yescharacteristic
932C4⋊Q8—24no—
933C4⋊Q8—24no—
934C4⋊Q8—28no—
935C4⋊Q8—24no—
936#127—28no—
937#127—216no—
938#127—28no—
939#127—24no—
940#127—44no—
941#127—44no—
942#126—28no—
943#126—28no—
944#126—28no—
945#126—28no—
946#126—28no—
947#126—28no—
948#126—216no—
949#126—28no—
950#125—28no—
951#125—24no—
952#125—28no—
953#125—28no—
954#125—216no—
955#125—24no—
956#125—28no—
957#125—24no—
958#124—24no—
959#124—28no—
960#124—28no—
961#124—24no—
962#124—24no—
963#124—28no—
964#124—44no—
965#124—44no—
966#123—28no—
967#123—216no—
968#123—28no—
969#123—28no—
970#123—28no—
971#123—28no—
972#123—28no—
973#123—28no—
974#123—28no—
975#123—28no—
976#123—216no—
977#123—216no—
978#123—216no—
979#123—48no—
980#123—84no—
981#123—84no—
982C22⋊Q8—24no—
983C22⋊Q8—24no—
984C22⋊Q8—28no—
985C22⋊Q8—24no—
986C22⋊Q8—24no—
987C22⋊Q8—28no—
988C22⋊Q8—28no—
989C22⋊Q8—24no—
990C22⋊Q8—28no—
991C22⋊Q8—28no—
992C22⋊Q8—28no—
993C22⋊Q8—44no—
994C22⋊Q8—84no—
995C22⋊Q8—84no—
996#121—28no—
997#121—28no—
998#121—28no—
999#121—216no—
1000#121—28no—
1001#121—24no—
1002#121—28no—
1003#121—24no—
1004#121—216no—
1005#121—28no—
1006#121—28no—
1007#121—216no—
1008#121—24no—
1009#121—28no—
1010#121—216no—
1011#121—28no—
1012#121—216no—
1013#121—216no—
1014#121—216no—
1015#121—48no—
1016#121—44no—
1017#121—44no—
1018#121—44no—
1019#121—44no—
1020#121—44no—
1021#121—48no—
1022#121—84no—
1023#121—84no—
1024#121—84no—
1025#121—84no—
1026#120—28no—
1027#120—28no—
1028#120—48no—
1029#120—84no—
1030#120—84no—
1031C4×Q8—28no—
1032C4×Q8—24no—
1033C4×Q8—24no—
1034C4×Q8—24no—
1035C4×Q8—24no—
1036C4×Q8—28no—
1037C4×Q8—28no—
1038C4×Q8—24no—
1039C4×Q8C2×D418yes—
1040C4×Q8C2×D418yes—
1041C4×D4—24no—
1042C4×D4—24no—
1043C4×D4—28no—
1044C4×D4—28no—
1045C4×D4—24no—
1046C4×D4—24no—
1047C4×D4—24no—
1048C4×D4—24no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—216no—
1052C4×D4—24no—
1053C4×D4—28no—
1054C4×D4—216no—
1055C4×D4—28no—
1056C4×D4—28no—
1057C4×D4—24no—
1058C4×D4—24no—
1059C4×D4—24no—
1060C4×D4—28no—
1061C4×D4—216no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—24no—
1065C4×D4—216no—
1066C4×D4—28no—
1067C4×D4—44no—
1068C4×D4—44no—
1069C4×D4—84no—
1070C4×D4—84no—
1071C4×D4C2×D418yes—
1072C4×D4C2×D4116yes—
1073C4×D4C2×D418yes—
1074C4×D4C2×D4116yes—
1075#117—24no—
1076#117—24no—
1077#117—28no—
1078#117—24no—
1079#117—28no—
1080#117—28no—
1081#117—28no—
1082#117—28no—
1083#117—28no—
1084#117—28no—
1085#117—28no—
1086#117—24no—
1087#117—28no—
1088#117—216no—
1089#117—44no—
1090#117C2×D4116yes—
1091#117C2×D418yes—
1092C2×C4⋊C4—28no—
1093C2×C4⋊C4—28no—
1094C2×C4⋊C4—24no—
1095C2×C4⋊C4—28no—
1096C2×C4⋊C4—216no—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2414yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2411yescharacteristic
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2412yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2412yes—
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2411yescharacteristic
1118C2×C4⋊C4C2411yescharacteristic
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2412yes—
1121C2×C4⋊C4C2411yescharacteristic
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2414yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2412yes—
1127C2×C4⋊C4C2411yescharacteristic
1128C2×C4⋊C4C2414yes—
1129C2×C4⋊C4C2412yes—
1130C2×C4⋊C4C2412yes—
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2414yes—
1135C2×C4⋊C4C2414yes—
1136C2×C4⋊C4C2412yes—
1137C2×C4⋊C4C2412yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2414yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2412yes—
1145C2×C4⋊C4C2412yes—
1146C2×C4⋊C4C2414yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2412yes—
1149C2×C4⋊C4C2414yes—
1150C2×C4⋊C4C2411yescharacteristic
1151C2×C4⋊C4C2412yes—
1152C2×C4⋊C4C2411yescharacteristic
1153C2×C4⋊C4C2412yes—
1154C2×C22⋊C4—28no—
1155C2×C22⋊C4—28no—
1156C2×C22⋊C4—28no—
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2411yescharacteristic
1174C2×C22⋊C4C2411yescharacteristic
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2411yescharacteristic
1177C2×C22⋊C4C2411yescharacteristic
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2412yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2412yes—
1187C2×C22⋊C4C2412yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2414yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2414yes—
1207C2×C22⋊C4C2412yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2412yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2414yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2414yes—
1218C2×C22⋊C4C2412yes—
1219C2×C22⋊C4C2414yes—
1220C2×C22⋊C4C2414yes—
1221C2×C22⋊C4C2412yes—
1222C2×C22⋊C4C2414yes—
1223C2×C22⋊C4C2414yes—
1224C2×C22⋊C4C2414yes—
1225C2×C22⋊C4C2414yes—
1226C2×C22⋊C4C2414yes—
1227C2×C22⋊C4C2412yes—
1228C2×C22⋊C4C2412yes—
1229C2×C22⋊C4C2412yes—
1230C2×C42—28no—
1231C2×C42—24no—
1232C2×C42—24no—
1233C2×C42—44no—
1234C2×C42C2×D4116yes—
1235C2×C42C2×D418yes—
1236C2×C42C2412yes—
1237C2×C42C2411yescharacteristic
1238C2×C42C2412yes—
1239C2×C42C2411yescharacteristic
1240C2×C42C2411yescharacteristic
1241C2×C42C2412yes—
1242C2×C42C2412yes—
1243C2×C42C2414yes—
1244C2×C42C2411yescharacteristic
1245C2×C42C2411yescharacteristic
1246C2×C42C2411yescharacteristic
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2414yes—
1250C2×C42C2414yes—
1251C2×C42C2412yes—
1252C2×C42C2412yes—
1253C2×C42C2412yes—
1254C2×C42C2412yes—
1255C2×C42C2412yes—
1256C2×C42C2412yes—
1257C2×C42C2411yescharacteristic
1258C2×C42C2411yescharacteristic
1259C2×C42C2411yescharacteristic
1260C2×C42C2412yes—
1261C2×C42C2411yescharacteristic
1262#95C2412yes—
1263#95C2411yescharacteristic
1264#95C2411yescharacteristic
1265#95C2412yes—
1266#95C2411yescharacteristic
1267#95C2411yescharacteristic
1268#95C2412yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2412yes—
1272#95C2414yes—
1273#95C2412yes—
1274#95C2412yes—
1275#95C2412yes—
1276#95C2414yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2412yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2412yes—
1291#95C2412yes—
1292#95C2412yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2412yes—
1298#95C2412yes—
1299#95C2414yes—
1300#95C2414yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309C24—24no—
1310C24—24no—
1311C24—42no—
1312C24—44no—
1313C24—44no—
1314C24C2512yes—
1315C24C2511yescharacteristic
1316C24C2514yes—
1317C24C2512yes—
1318C24C2512yes—
1319C24C2511yescharacteristic
1320C24C2511yescharacteristic
1321#41—416no—
1322#41—416no—
1323#41—416no—
1324#41—432no—
1325#41—816no—
1326#41—816no—
1327#41—816no—
1328C2×Q8—22no—
1329C2×Q8—22no—
1330C2×Q8—24no—
1331C2×Q8—22no—
1332C2×Q8—24no—
1333C2×Q8—24no—
1334C2×Q8—24no—
1335C2×Q8—22no—
1336C2×Q8—41no—
1337C2×Q8—42no—
1338C2×Q8—44no—
1339C2×Q8—44no—
1340C2×Q8C22×D414yes—
1341C2×D4—22no—
1342C2×D4—24no—
1343C2×D4—22no—
1344C2×D4—24no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—24no—
1348C2×D4—24no—
1349C2×D4—28no—
1350C2×D4—28no—
1351C2×D4—28no—
1352C2×D4—28no—
1353C2×D4—28no—
1354C2×D4—24no—
1355C2×D4—22no—
1356C2×D4—22no—
1357C2×D4—28no—
1358C2×D4—24no—
1359C2×D4—24no—
1360C2×D4—22no—
1361C2×D4—24no—
1362C2×D4—28no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—22no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—44no—
1370C2×D4—41no—
1371C2×D4—41no—
1372C2×D4—44no—
1373C2×D4—44no—
1374C2×D4—44no—
1375C2×D4—41no—
1376C2×D4—44no—
1377C2×D4—42no—
1378C2×D4—44no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—42no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—44no—
1395C2×D4—42no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—42no—
1403C2×D4—42no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—416no—
1415C2×D4C22×D414yes—
1416C2×D4C22×D418yes—
1417C22×C4—22no—
1418C22×C4—22no—
1419C22×C4—24no—
1420C22×C4—22no—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—24no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—24no—
1429C22×C4—28no—
1430C22×C4—24no—
1431C22×C4—24no—
1432C22×C4—24no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—24no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—28no—
1442C22×C4—28no—
1443C22×C4—28no—
1444C22×C4—42no—
1445C22×C4—42no—
1446C22×C4—42no—
1447C22×C4—42no—
1448C22×C4—42no—
1449C22×C4—42no—
1450C22×C4—42no—
1451C22×C4—44no—
1452C22×C4—41no—
1453C22×C4—41no—
1454C22×C4—41no—
1455C22×C4—41no—
1456C22×C4—44no—
1457C22×C4—44no—
1458C22×C4—44no—
1459C22×C4—42no—
1460C22×C4—44no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—44no—
1466C22×C4—44no—
1467C22×C4—42no—
1468C22×C4—42no—
1469C22×C4—42no—
1470C22×C4—42no—
1471C22×C4—44no—
1472C22×C4—44no—
1473C22×C4—44no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—432no—
1477C22×C4C22×D414yes—
1478C22×C4C22×D418yes—
1479C22×C4C22×D418yes—
1480C22×C4C22×D418yes—
1481C22×C4C22×D414yes—
1482C22×C4C22×D414yes—
1483C22×C4C2512yes—
1484C22×C4C2512yes—
1485C22×C4C2514yes—
1486C22×C4C2512yes—
1487C22×C4C2512yes—
1488C22×C4C2514yes—
1489C22×C4C2511yescharacteristic
1490C22×C4C2512yes—
1491C22×C4C2511yescharacteristic
1492C22×C4C2512yes—
1493C22×C4C2511yescharacteristic
1494C22×C4C2512yes—
1495C22×C4C2514yes—
1496C22×C4C2512yes—
1497C22×C4C2512yes—
1498C22×C4C2511yescharacteristic
1499C22×C4C2511yescharacteristic
1500C22×C4C2512yes—
1501C22×C4C2511yescharacteristic
1502C22×C4C2512yes—
1503C22×C4C2511yescharacteristic
1504C22×C4C2511yescharacteristic
1505C22×C4C2511yescharacteristic
1506C22×C4C2512yes—
1507C22×C4C2512yes—
1508C22×C4C2511yescharacteristic
1509C22×C4C2511yescharacteristic
1510C22×C4C2511yescharacteristic
1511C4⋊C4—22no—
1512C4⋊C4—22no—
1513C4⋊C4—24no—
1514C4⋊C4—28no—
1515C4⋊C4—24no—
1516C4⋊C4—24no—
1517C4⋊C4—24no—
1518C4⋊C4—24no—
1519C4⋊C4—24no—
1520C4⋊C4—24no—
1521C4⋊C4—22no—
1522C4⋊C4—24no—
1523C4⋊C4—28no—
1524C4⋊C4—24no—
1525C4⋊C4—24no—
1526C4⋊C4—22no—
1527C4⋊C4—22no—
1528C4⋊C4—22no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—22no—
1532C4⋊C4—22no—
1533C4⋊C4—22no—
1534C4⋊C4—24no—
1535C4⋊C4—28no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—24no—
1539C4⋊C4—22no—
1540C4⋊C4—28no—
1541C4⋊C4—24no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—24no—
1545C4⋊C4—24no—
1546C4⋊C4—24no—
1547C4⋊C4—24no—
1548C4⋊C4—42no—
1549C4⋊C4—42no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—42no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—44no—
1558C4⋊C4—44no—
1559C4⋊C4—44no—
1560C4⋊C4—42no—
1561C4⋊C4—44no—
1562C4⋊C4—44no—
1563C4⋊C4—42no—
1564C4⋊C4C22×D414yes—
1565C4⋊C4C22×D418yes—
1566C4⋊C4C22×D414yes—
1567C4⋊C4C22×D418yes—
1568C22⋊C4—24no—
1569C22⋊C4—24no—
1570C22⋊C4—22no—
1571C22⋊C4—22no—
1572C22⋊C4—24no—
1573C22⋊C4—28no—
1574C22⋊C4—24no—
1575C22⋊C4—24no—
1576C22⋊C4—22no—
1577C22⋊C4—22no—
1578C22⋊C4—24no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—24no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—24no—
1587C22⋊C4—28no—
1588C22⋊C4—24no—
1589C22⋊C4—28no—
1590C22⋊C4—22no—
1591C22⋊C4—24no—
1592C22⋊C4—22no—
1593C22⋊C4—28no—
1594C22⋊C4—24no—
1595C22⋊C4—24no—
1596C22⋊C4—24no—
1597C22⋊C4—28no—
1598C22⋊C4—24no—
1599C22⋊C4—24no—
1600C22⋊C4—24no—
1601C22⋊C4—28no—
1602C22⋊C4—44no—
1603C22⋊C4—42no—
1604C22⋊C4—42no—
1605C22⋊C4—42no—
1606C22⋊C4—42no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—42no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—44no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—42no—
1623C22⋊C4—42no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—42no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—42no—
1631C22⋊C4—44no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—42no—
1635C22⋊C4—44no—
1636C22⋊C4—44no—
1637C22⋊C4—44no—
1638C22⋊C4C22×D418yes—
1639C22⋊C4C22×D418yes—
1640C22⋊C4C22×D418yes—
1641C42—22no—
1642C42—24no—
1643C42—22no—
1644C42—24no—
1645C42—24no—
1646C42—22no—
1647C42—22no—
1648C42—22no—
1649C42—22no—
1650C42—28no—
1651C42—24no—
1652C42—24no—
1653C42—24no—
1654C42—42no—
1655C42—42no—
1656C42—44no—
1657C42—44no—
1658C42—42no—
1659C42—42no—
1660C42C22×D414yes—
1661C42C22×D414yes—
1662C42C22×D418yes—
1663C42C22×D418yes—
1664C42C22×D418yes—
1665C42C22×D414yes—
1666C42C22×D414yes—
1667C23—21no—
1668C23—22no—
1669C23—22no—
1670C23—22no—
1671C23—22no—
1672C23—21no—
1673C23—21no—
1674C23—21no—
1675C23—24no—
1676C23—22no—
1677C23—24no—
1678C23—22no—
1679C23—22no—
1680C23—21no—
1681C23—24no—
1682C23—22no—
1683C23—24no—
1684C23—22no—
1685C23—22no—
1686C23—24no—
1687C23—22no—
1688C23—22no—
1689C23—21no—
1690C23—22no—
1691C23—22no—
1692C23—24no—
1693C23—24no—
1694C23—24no—
1695C23—22no—
1696C23—21no—
1697C23—22no—
1698C23—22no—
1699C23—24no—
1700C23—24no—
1701C23—24no—
1702C23—22no—
1703C23—48no—
1704C23—48no—
1705C23—84no—
1706C23—88no—
1707C23—88no—
1708C23C23×D412yes—
1709C23C23×D414yes—
1710C23#58512yes—
1711C23C2611yescharacteristic
1712Q8—28no—
1713Q8—44no—
1714Q8—44no—
1715Q8—48no—
1716Q8—44no—
1717Q8—84no—
1718D4—28no—
1719D4—48no—
1720D4—44no—
1721D4—44no—
1722D4—416no—
1723D4—44no—
1724D4—48no—
1725D4—44no—
1726D4—48no—
1727D4—48no—
1728D4—44no—
1729D4—48no—
1730D4—88no—
1731D4—84no—
1732D4—84no—
1733D4—88no—
1734D4—84no—
1735D4—84no—
1736D4—84no—
1737D4—88no—
1738D4—88no—
1739D4—88no—
1740D4—88no—
1741D4—84no—
1742D4—88no—
1743D4—164no—
1744D4—164no—
1745D4—164no—
1746C2×C4—28no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—24no—
1757C2×C4—22no—
1758C2×C4—24no—
1759C2×C4—22no—
1760C2×C4—28no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—22no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—24no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—24no—
1778C2×C4—24no—
1779C2×C4—24no—
1780C2×C4—24no—
1781C2×C4—22no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—21no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—24no—
1791C2×C4—22no—
1792C2×C4—22no—
1793C2×C4—21no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—24no—
1797C2×C4—24no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—24no—
1804C2×C4—22no—
1805C2×C4—22no—
1806C2×C4—24no—
1807C2×C4—24no—
1808C2×C4—22no—
1809C2×C4—48no—
1810C2×C4—44no—
1811C2×C4—48no—
1812C2×C4—44no—
1813C2×C4—48no—
1814C2×C4—48no—
1815C2×C4—48no—
1816C2×C4—48no—
1817C2×C4—48no—
1818C2×C4—44no—
1819C2×C4—416no—
1820C2×C4—48no—
1821C2×C4—44no—
1822C2×C4—44no—
1823C2×C4—48no—
1824C2×C4—82no—
1825C2×C4—82no—
1826C2×C4—88no—
1827C2×C4—88no—
1828C2×C4—88no—
1829C2×C4—84no—
1830C2×C4—84no—
1831C2×C4—84no—
1832C2×C4C23×D412yes—
1833C2×C4C23×D414yes—
1834C2×C4C23×D412yes—
1835C2×C4C23×D414yes—
1836C2×C4C23×D412yes—
1837C2×C4C23×D412yes—
1838C2×C4C23×D412yes—
1839C2×C4C23×D414yes—
1840C2×C4C23×D412yes—
1841C2×C4#58512yes—
1842C2×C4#58514yes—
1843C22—22no—
1844C22—24no—
1845C22—22no—
1846C22—24no—
1847C22—22no—
1848C22—22no—
1849C22—24no—
1850C22—24no—
1851C22—41no—
1852C22—42no—
1853C22—44no—
1854C22—42no—
1855C22—41no—
1856C22—42no—
1857C22—44no—
1858C22—42no—
1859C22—41no—
1860C22—44no—
1861C22—42no—
1862C22—42no—
1863C22—44no—
1864C22—41no—
1865C22—42no—
1866C22—42no—
1867C22—42no—
1868C22—44no—
1869C22—44no—
1870C22—44no—
1871C22—42no—
1872C22—44no—
1873C22—42no—
1874C22—41no—
1875C22—42no—
1876C22—42no—
1877C22—44no—
1878C22—42no—
1879C22—44no—
1880C22—44no—
1881C22—42no—
1882C22—816no—
1883C22C24×D411yescharacteristic
1884C22C2×#58511yescharacteristic
1885C22C2×#58511yescharacteristic
1886C22C2×#58512yes—
1887C22H(7,𝔽2)12yes—
1888C4—22no—
1889C4—22no—
1890C4—24no—
1891C4—22no—
1892C4—22no—
1893C4—22no—
1894C4—24no—
1895C4—22no—
1896C4—24no—
1897C4—42no—
1898C4—41no—
1899C4—42no—
1900C4—41no—
1901C4—42no—
1902C4—44no—
1903C4—42no—
1904C4—41no—
1905C4—42no—
1906C4—42no—
1907C4—44no—
1908C4—41no—
1909C4—42no—
1910C4—41no—
1911C4—42no—
1912C4—42no—
1913C4—42no—
1914C4—44no—
1915C4#344914yes—
1916C2—42no—
1917C2—44no—
1918C2—42no—
1919C2—81no—
1920C2—82no—
1921C2—84no—
1922C2—82no—
1923C2C2×#344911yescharacteristic
1924C2#6281111yescharacteristic
1925C2#6285211yescharacteristic
1926C2#6293712yes—
1927C2#6294112yes—
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×#3517C2semidirect
2. C2×#3475C2semidirect
3. #42889C2semidirect
4. #42888C2semidirect
5. #42885C2semidirect
6. #42884C2semidirect
7. #42483C2semidirect
8. #42482C2semidirect
9. #42479C2semidirect
10. #42478C2semidirect
11. #40605C2semidirect
12. #40604C2semidirect
13. #40601C2semidirect
14. #40600C2semidirect
15. #39962C2semidirect
16. #39961C2semidirect
17. #39958C2semidirect
18. #39957C2semidirect
19. #39946C2semidirect
20. #39944C2semidirect
21. #37552C2semidirect
22. #37550C2semidirect
23. #36964C2semidirect
24. #36713C2semidirect
25. #35526C2semidirect
26. #35525C2semidirect
27. #35303C2semidirect
28. #35301C2semidirect
29. #35226C2semidirect
30. #35212C2semidirect
31. #35156C2semidirect
32. #35118C2semidirect
33. #34977C2semidirect
34. #34876C2semidirect
35. #34056C2semidirect
37. C2×#557C22semidirect
43. C2×#553C22semidirect
44. C2×#553C22semidirect
52. C2×#550C22semidirect
53. C2×#550C22semidirect
56. C2×#547C22semidirect
60. C2×#540C22semidirect
62. C2×#532C22semidirect
63. C2×#532C22semidirect
68. C2×#529C22semidirect
69. C2×#529C22semidirect
71. C2×#520C22semidirect
77. #2860C22semidirect
79. #2854C22semidirect
80. #2853C22semidirect
81. #2850C22semidirect
84. #2821C22semidirect
85. #2821C22semidirect
86. #2818C22semidirect
87. #2818C22semidirect
88. #2817C22semidirect
90. #2816C22semidirect
92. #2721C22semidirect
93. #2719C22semidirect
94. #2714C22semidirect
95. #2711C22semidirect
96. #2709C22semidirect
97. #2708C22semidirect
100. #2695C22semidirect
103. #2691C22semidirect
104. #2690C22semidirect
105. #2688C22semidirect
106. #2687C22semidirect
107. #2681C22semidirect
108. #2680C22semidirect
110. #2676C22semidirect
111. #2676C22semidirect
112. #2675C22semidirect
115. #2673C22semidirect
116. #2672C22semidirect
117. #2672C22semidirect
120. #2671C22semidirect
124. #2664C22semidirect
125. #2663C22semidirect
126. #2662C22semidirect
128. #2661C22semidirect
129. #2661C22semidirect
130. #2660C22semidirect
132. #2641C22semidirect
134. #2637C22semidirect
135. #2637C22semidirect
136. #2636C22semidirect
137. #2636C22semidirect
139. #2635C22semidirect
141. #2630C22semidirect
143. #2628C22semidirect
144. #2627C22semidirect
147. #2619C22semidirect
148. #2618C22semidirect
150. #2616C22semidirect
151. #2616C22semidirect
155. #2611C22semidirect
156. #2611C22semidirect
159. #2610C22semidirect
160. #2610C22semidirect
161. #2610C22semidirect
162. #2610C22semidirect
163. #2610C22semidirect
165. #2609C22semidirect
166. #2604C22semidirect
168. #2603C22semidirect
170. #2602C22semidirect
171. #2602C22semidirect
173. #2601C22semidirect
175. #2599C22semidirect
176. #2599C22semidirect
179. #2598C22semidirect
180. #2598C22semidirect
181. #2598C22semidirect
183. #2591C22semidirect
184. #2584C22semidirect
185. #2567C22semidirect
187. #2564C22semidirect
189. #2562C22semidirect
190. #2562C22semidirect
191. #2548C22semidirect
193. #2543C22semidirect
194. #2543C22semidirect
197. #2540C22semidirect
199. #2536C22semidirect
200. #2535C22semidirect
201. #2500C22semidirect
202. #2498C22semidirect
203. #2481C22semidirect
204. #2476C22semidirect
205. #2473C22semidirect
206. #2470C22semidirect
207. #2467C22semidirect
210. #2460C22semidirect
212. #2456C22semidirect
213. #2456C22semidirect
214. #2455C22semidirect
216. #2454C22semidirect
217. #2453C22semidirect
218. #2452C22semidirect
221. #2446C22semidirect
224. #2443C22semidirect
226. #2442C22semidirect
227. #2441C22semidirect
228. #2440C22semidirect
230. #2432C22semidirect
235. #2430C22semidirect
236. #2430C22semidirect
240. #2426C22semidirect
244. #2421C22semidirect
250. #2415C22semidirect
253. #2414C22semidirect
254. #2414C22semidirect
258. #2407C22semidirect
259. #2406C22semidirect
260. #2406C22semidirect
263. #2399C22semidirect
265. #2398C22semidirect
268. #2388C22semidirect
270. #2326C22semidirect
273. #2324C22semidirect
274. #2323C22semidirect
275. #2322C22semidirect
277. #2320C22semidirect
278. #2320C22semidirect
279. #2320C22semidirect
283. #2318C22semidirect
284. #2318C22semidirect
285. #2318C22semidirect
287. C4×#124C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. #2298C22semidirect
294. #2296C22semidirect
296. #2290C22semidirect
297. #2283C22semidirect
298. #2283C22semidirect
299. C4×#117C22semidirect
300. C2×#376C22semidirect
445. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35172
C2×#34752
#428892
#428882
#428852
#428842
#424832
#424822
#424792
#424782
#406052
#406042
#406012
#406002
#399622
#399612
#399582
#399572
#399462
#399442
#375522
#375502
#369642
#367132
#355262
#355252
#353032
#353012
#352262
#352122
#351562
#351182
#349772
#348762
#340562