Finite Group Databasebeta

← #7647338

Subgroups — #7647338

Order 512.

7000 conjugacy classes of subgroups.

The subgroup lattice has 1923 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3521C211yesmaximal, characteristic, complemented
2C2×#3483C211yesmaximal, characteristic, complemented
3#42889C211yesmaximal, characteristic, complemented
4#42885C211yesmaximal, characteristic, complemented
5#42813C211yesmaximal, characteristic, complemented
6#42809C211yesmaximal, characteristic, complemented
7#42681C211yesmaximal, characteristic, complemented
8#42677C211yesmaximal, characteristic, complemented
9#42483C211yesmaximal, characteristic, complemented
10#42479C211yesmaximal, characteristic, complemented
11#41423C212yesmaximal, complemented
12#41419C212yesmaximal, complemented
13#40605C212yesmaximal, complemented
14#40601C212yesmaximal, complemented
15#39963C212yesmaximal, complemented
16#39961C212yesmaximal, complemented
17#39958C212yesmaximal, complemented
18#39957C212yesmaximal, complemented
19#38439C214yesmaximal, complemented
20#38437C214yesmaximal, complemented
21#37559C212yesmaximal, complemented
22#37547C212yesmaximal, complemented
23#37235C214yesmaximal, complemented
24#37234C214yesmaximal, complemented
25#35600C212yesmaximal, complemented
26#35524C212yesmaximal, complemented
27#35342C212yesmaximal, complemented
28#35303C211yesmaximal, characteristic, complemented
29#35205C212yesmaximal, complemented
30#35195C212yesmaximal, complemented
31#35191C211yesmaximal, characteristic, complemented
32#35143C212yesmaximal, complemented
33#34911C211yesmaximal, characteristic, complemented
34#34876C211yesmaximal, characteristic, complemented
35#34056C211yesmaximal, characteristic, complemented
36#3521—216no—
37#3483—216no—
38C2×Q82C2211yescharacteristic, complemented
39C2×#556C2211yescharacteristic
40C2×#556C2211yescharacteristic
41C2×#555C2211yescharacteristic
42C2×#555C2212yescomplemented
43C2×#555C2214yescomplemented
44C2×#555C2212yescomplemented
45C2×#554C2211yescharacteristic
46C2×#553C2211yescharacteristic
47C2×#553C2212yes—
48C2×#552C2212yes—
49C2×#552C2211yescharacteristic
50C2×#551C2212yes—
51C2×#551C2212yes—
52C2×#550C2212yes—
53C2×#550C2211yescharacteristic
54C2×#550C2211yescharacteristic, complemented
55C2×#550C2212yescomplemented
56C2×#547C2211yescharacteristic
57C2×#546C2211yescharacteristic
58C2×#546C2211yescharacteristic
59C2×#542C2211yescharacteristic
60C2×#541C2211yescharacteristic
61C2×#539C2212yes—
62C2×#538C2212yes—
63C2×#532C2212yes—
64C2×#532C2214yescomplemented
65C2×#532C2211yescharacteristic, complemented
66C2×#532C2212yescomplemented
67C2×#529C2212yes—
68C2×#529C2211yescharacteristic
69C2×#529C2211yescharacteristic
70C22×#126C2212yes—
71C2×#520C2211yescharacteristic
72C2×#518C2211yescharacteristic
73C2×C4×#41C2211yescharacteristic
74C2×C4×#41C2212yescomplemented
75C2×C4×#41C2211yescharacteristic, complemented
76C2×C4×#41C2212yescomplemented
77#2861C2212yescomplemented
78#2858C2212yes—
79#2856C2212yes—
80#2852C2214yes—
81#2852C2214yescomplemented
82#2851C2214yescomplemented
83#2850C2214yescomplemented
84#2850C2212yescomplemented
85#2821C2212yes—
86#2821C2212yescomplemented
87#2818C2212yes—
88#2818C2212yescomplemented
89#2816C2212yescomplemented
90#2816C2212yescomplemented
91#2815C2212yes—
92#2815C2212yes—
93#2716C2214yescomplemented
94#2715C2214yescomplemented
95#2714C2214yescomplemented
96#2713C2214yescomplemented
97#2712C2214yes—
98#2711C2214yescomplemented
99#2710C2214yes—
100#2709C2214yescomplemented
101#2708C2214yescomplemented
102#2703C2214yes—
103#2700C2214yescomplemented
104#2691C2214yescomplemented
105#2688C2214yescomplemented
106#2681C2214yescomplemented
107#2677C2214yescomplemented
108#2676C2214yes—
109#2676C2214yescomplemented
110#2676C2214yescomplemented
111#2675C2214yescomplemented
112#2674C2214yes—
113#2674C2214yescomplemented
114#2673C2214yes—
115#2673C2214yes—
116#2673C2214yescomplemented
117#2672C2214yescomplemented
118#2672C2214yescomplemented
119#2671C2214yes—
120#2671C2214yescomplemented
121#2670C2214yes—
122#2669C2214yes—
123#2669C2214yes—
124#2668C2214yes—
125#2662C2214yes—
126#2662C2214yescomplemented
127#2661C2214yes—
128#2661C2212yes—
129#2661C2214yescomplemented
130#2661C2212yescomplemented
131#2660C2211yescharacteristic, complemented
132#2657C2211yescharacteristic
133#2641C2211yescharacteristic, complemented
134#2640C2211yescharacteristic
135#2637C2212yes—
136#2637C2212yescomplemented
137#2636C2212yes—
138#2636C2214yes—
139#2636C2212yescomplemented
140#2636C2214yescomplemented
141#2633C2214yescomplemented
142#2631C2214yescomplemented
143#2625C2212yescomplemented
144#2624C2212yes—
145#2621C2212yescomplemented
146#2621C2212yescomplemented
147#2619C2212yescomplemented
148#2619C2212yescomplemented
149#2618C2212yescomplemented
150#2618C2212yescomplemented
151#2617C2212yes—
152#2617C2212yes—
153#2616C2212yescomplemented
154#2615C2212yes—
155#2611C2212yescomplemented
156#2610C2212yes—
157#2610C2214yescomplemented
158#2604C2211yescharacteristic
159#2604C2211yescharacteristic, complemented
160#2604C2212yescomplemented
161#2603C2211yescharacteristic
162#2603C2212yes—
163#2603C2212yescomplemented
164#2603C2212yescomplemented
165#2603C2211yescharacteristic, complemented
166#2603C2212yescomplemented
167#2603C2212yescomplemented
168#2602C2214yes—
169#2602C2214yescomplemented
170#2602C2214yescomplemented
171#2601C2214yes—
172#2601C2214yescomplemented
173#2600C2214yes—
174#2600C2214yescomplemented
175#2599C2212yescomplemented
176#2599C2212yescomplemented
177#2598C2212yescomplemented
178#2598C2212yescomplemented
179#2592C2211yescharacteristic
180#2592C2214yescomplemented
181#2591C2214yescomplemented
182#2584C2211yescharacteristic, complemented
183#2579C2214yescomplemented
184#2564C2212yescomplemented
185#2562C2211yescharacteristic, complemented
186#2548C2211yescharacteristic, complemented
187#2547C2211yescharacteristic
188#2546C2211yescharacteristic, complemented
189#2543C2212yes—
190#2543C2212yescomplemented
191#2543C2212yescomplemented
192#2541C2211yescharacteristic
193#2540C2211yescharacteristic
194#2540C2214yescomplemented
195#2539C2214yes—
196#2534C2214yes—
197#2498C2211yescharacteristic
198#2498C2211yescharacteristic, complemented
199#2484C2212yescomplemented
200#2482C2212yes—
201#2479C2214yes—
202#2477C2214yescomplemented
203#2476C2214yescomplemented
204#2475C2214yescomplemented
205#2474C2214yescomplemented
206#2472C2214yes—
207#2471C2214yescomplemented
208#2467C2214yes—
209#2464C2214yescomplemented
210#2463C2214yescomplemented
211#2461C2214yescomplemented
212#2460C2214yescomplemented
213#2459C2214yes—
214#2456C2214yes—
215#2456C2214yescomplemented
216#2454C2212yescomplemented
217#2452C2212yes—
218#2452C2212yescomplemented
219#2451C2212yescomplemented
220#2448C2212yes—
221#2446C2212yescomplemented
222#2445C2212yes—
223#2445C2212yes—
224#2441C2212yescomplemented
225#2440C2212yescomplemented
226#2439C2212yes—
227#2439C2212yescomplemented
228#2433C2212yes—
229#2432C2212yescomplemented
230#2432C2212yescomplemented
231#2431C2212yes—
232#2431C2212yes—
233#2431C2212yes—
234#2430C2211yescharacteristic
235#2430C2211yescharacteristic, complemented
236#2430C2214yescomplemented
237#2428C2212yes—
238#2428C2212yes—
239#2427C2212yes—
240#2426C2212yescomplemented
241#2424C2214yes—
242#2423C2212yes—
243#2422C2212yes—
244#2421C2212yescomplemented
245#2420C2212yes—
246#2416C2212yescomplemented
247#2415C2212yes—
248#2415C2212yescomplemented
249#2414C2212yes—
250#2414C2212yes—
251#2414C2212yes—
252#2414C2212yes—
253#2414C2212yescomplemented
254#2408C2212yes—
255#2407C2212yes—
256#2407C2212yes—
257#2407C2214yes—
258#2407C2214yescomplemented
259#2407C2212yescomplemented
260#2406C2214yescomplemented
261#2406C2212yescomplemented
262#2404C2212yes—
263#2404C2214yes—
264#2399C2211yescharacteristic, complemented
265#2398C2211yescharacteristic
266#2398C2211yescharacteristic, complemented
267#2397C2211yescharacteristic
268#2395C2212yescomplemented
269#2388C2212yescomplemented
270#2328C2212yes—
271#2326C2212yescomplemented
272#2324C2212yes—
273#2324C2214yescomplemented
274#2324C2212yescomplemented
275#2323C2214yescomplemented
276#2322C2214yescomplemented
277#2321C2214yes—
278#2320C2211yescharacteristic, complemented
279#2320C2211yescharacteristic, complemented
280#2320C2212yescomplemented
281#2319C2212yes—
282#2319C2211yescharacteristic
283#2319C2211yescharacteristic
284#2318C2214yescomplemented
285#2318C2212yescomplemented
286#2318C2212yescomplemented
287C4×C22⋊Q8C2212yescomplemented
288C4×#121C2212yes—
289C4×#121C2212yes—
290C4×#121C2212yescomplemented
291#2298C2214yescomplemented
292#2297C2212yes—
293#2296C2212yescomplemented
294#2293C2214yescomplemented
295#2290C2212yes—
296#2290C2212yescomplemented
297#2283C2212yescomplemented
298#2283C2212yescomplemented
299C4×#117C2211yescharacteristic, complemented
300C2×#376C2211yescharacteristic, complemented
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C22×#41C2312yes—
304C22×#41C2311yescharacteristic
305C22×#41C2314yes—
306C22×#41C2312yes—
307C22×#41C2311yescharacteristic
308C23×D4C2311yescharacteristic
309Q82—28no—
310#556—28no—
311#556—28no—
312#555—28no—
313#555—216no—
314#555—232no—
315#555—216no—
316#554—28no—
317#553—216no—
318#553—28no—
319#552—28no—
320#552—216no—
321#551—216no—
322#551—216no—
323#550—216no—
324#550—28no—
325#550—28no—
326#550—216no—
327#547—28no—
328#546—28no—
329#546—28no—
330#542—28no—
331#541—28no—
332#539—216no—
333#538—216no—
334#532—216no—
335#532—232no—
336#532—216no—
337#532—28no—
338C2×C4⋊Q8C2312yes—
339C2×C4⋊Q8C2311yescharacteristic
340C2×C4⋊Q8C2314yes—
341C2×C4⋊Q8C2312yes—
342C2×C4⋊Q8C2311yescharacteristic
343C2×C4⋊Q8C2311yescharacteristic
344C2×C4⋊Q8C2312yes—
345C2×#127C2312yes—
346C2×#127C2311yescharacteristic
347C2×#127C2314yes—
348C2×#127C2312yes—
349C2×#127C2312yes—
350C2×#127C2312yes—
351#529—216no—
352#529—28no—
353#529—28no—
354C2×#126—216no—
355C2×#126C2312yes—
356C2×#126C2312yes—
357C2×#126C2312yes—
358C2×#126C2312yes—
359C2×#126C2312yes—
360C2×#126C2312yes—
361C2×#126C2311yescharacteristic
362C2×#126C2312yes—
363C2×#126C2311yescharacteristic
364C2×#126C2312yes—
365C2×#126C2312yes—
366C2×#126C2312yes—
367C2×#125C2311yescharacteristic
368C2×#125C2312yes—
369C2×#125C2311yescharacteristic
370C2×#125C2312yes—
371C2×#125C2311yescharacteristic
372C2×#125C2312yes—
373C2×#124C2311yescharacteristic
374C2×#124C2314yes—
375C2×#124C2312yes—
376C2×#124C2311yescharacteristic
377C2×#124C2312yes—
378C2×#124C2314yes—
379C2×#124C2314yes—
380C2×#124C2314yes—
381C2×#124C2312yes—
382C2×#124C2311yescharacteristic
383C2×#124C2312yes—
384C2×#124C2312yes—
385C2×#124C2312yes—
386C2×#123C2312yes—
387C2×#123C2312yes—
388C2×#123C2312yes—
389C2×#123C2311yescharacteristic
390C2×#123C2311yescharacteristic
391C2×#123C2312yes—
392C2×#123C2312yes—
393C2×#123C2312yes—
394C2×#123C2312yes—
395C2×#123C2312yes—
396C2×#123C2314yes—
397C2×#123C2314yes—
398C2×#123C2314yes—
399C2×C22⋊Q8C2312yes—
400C2×C22⋊Q8C2311yescharacteristic
401C2×C22⋊Q8C2311yescharacteristic
402C2×C22⋊Q8C2311yescharacteristic
403C2×C22⋊Q8C2311yescharacteristic
404C2×C22⋊Q8C2311yescharacteristic
405C2×C22⋊Q8C2312yes—
406C2×C22⋊Q8C2312yes—
407C2×C22⋊Q8C2312yes—
408C2×C22⋊Q8C2312yes—
409C2×C22⋊Q8C2314yes—
410C2×C22⋊Q8C2312yes—
411C2×C22⋊Q8C2314yes—
412C2×C22⋊Q8C2314yes—
413C2×#121C2312yes—
414C2×#121C2312yes—
415C2×#121C2314yes—
416C2×#121C2312yes—
417C2×#121C2311yescharacteristic
418C2×#121C2312yes—
419C2×#121C2312yes—
420C2×#121C2312yes—
421C2×#121C2314yes—
422C2×#121C2314yes—
423C2×#121C2311yescharacteristic
424C2×#121C2312yes—
425C2×#121C2312yes—
426C2×#121C2314yes—
427C2×#121C2311yescharacteristic
428C2×#121C2314yes—
429C2×#121C2312yes—
430C2×#121C2314yes—
431C2×#121C2312yes—
432C2×#121C2312yes—
433C2×#121C2314yes—
434C2×#121C2312yes—
435C2×#121C2312yes—
436C2×#121C2312yes—
437C2×#121C2312yes—
438C2×#121C2314yes—
439C2×#121C2314yes—
440C2×#121C2314yes—
441C2×#121C2314yes—
442C2×#120C2312yes—
443C2×#120C2312yes—
444C2×#120C2314yes—
445C2×#120C2314yes—
446C2×#120C2314yes—
447#520—28no—
448#518—28no—
449C4×#41—216no—
450C4×#41—216no—
451C4×#41—28no—
452C4×#41D4116yescomplemented
453C2×C4×Q8C2312yes—
454C2×C4×Q8C2311yescharacteristic
455C2×C4×Q8C2311yescharacteristic
456C2×C4×Q8C2312yes—
457C2×C4×Q8C2311yescharacteristic
458C2×C4×Q8C2311yescharacteristic
459C2×C4×Q8C2312yes—
460C2×C4×Q8C2311yescharacteristic
461C2×C4×Q8C2311yescharacteristic
462C2×C4×Q8C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×C4×D4C2312yes—
465C2×C4×D4C2314yes—
466C2×C4×D4C2314yes—
467C2×C4×D4C2312yes—
468C2×C4×D4C2312yes—
469C2×C4×D4C2311yescharacteristic
470C2×C4×D4C2312yes—
471C2×C4×D4C2312yes—
472C2×C4×D4C2312yes—
473C2×C4×D4C2311yescharacteristic
474C2×C4×D4C2312yes—
475C2×C4×D4C2314yes—
476C2×C4×D4C2312yes—
477C2×C4×D4C2311yescharacteristic
478C2×C4×D4C2312yes—
479C2×C4×D4C2312yes—
480C2×C4×D4C2314yes—
481C2×C4×D4C2311yescharacteristic
482C2×C4×D4C2311yescharacteristic
483C2×C4×D4C2312yes—
484C2×C4×D4C2311yescharacteristic
485C2×C4×D4C2312yes—
486C2×C4×D4C2311yescharacteristic
487C2×C4×D4C2311yescharacteristic
488C2×C4×D4C2314yes—
489C2×C4×D4C2312yes—
490C2×C4×D4C2312yes—
491C2×C4×D4C2312yes—
492C2×C4×D4C2312yes—
493C2×C4×D4C2311yescharacteristic
494C2×C4×D4C2311yescharacteristic
495C2×#117C2314yes—
496C2×#117C2311yescharacteristic
497C2×#117C2311yescharacteristic
498C2×#117C2312yes—
499C2×#117C2312yes—
500C2×#117C2312yes—
501C2×#117C2312yes—
502C2×#117C2312yes—
503C2×#117C2311yescharacteristic
504C2×#117C2312yes—
505C2×#117C2314yes—
506C2×#117C2311yescharacteristic
507C2×#117C2312yes—
508C2×#117C2312yes—
509C2×#117C2312yes—
510C2×#117C2311yescharacteristic
511C22×C4⋊C4C2312yes—
512C22×C4⋊C4C2312yes—
513C22×C4⋊C4C2312yes—
514C22×C4⋊C4C2311yescharacteristic
515C22×C22⋊C4C2312yes—
516C22×C22⋊C4C2312yes—
517C22×C22⋊C4C2312yes—
518C22×C22⋊C4C2312yes—
519C22×C42C2314yes—
520C22×C42C2312yes—
521C22×C42C2312yes—
522C22×C42C2312yes—
523C22×C42C2311yescharacteristic
524#400C2312yes—
525#400C2312yes—
526#400C2314yes—
527#400C2314yes—
528#400C2311yescharacteristic
529#400C2311yescharacteristic
530#399C2314yes—
531#399C2314yes—
532#399C2312yes—
533#399C2314yes—
534#399C2314yes—
535#399C2311yescharacteristic
536#399C2312yes—
537#399C2311yescharacteristic
538#398C2311yescharacteristic
539#398C2312yes—
540#398C2312yes—
541#398C2312yes—
542#398C2312yes—
543#398C2311yescharacteristic
544#398C2312yes—
545#398C2314yes—
546#398C2314yes—
547#398C2312yes—
548#398C2314yes—
549#398C2314yes—
550#397C2311yescharacteristic
551#397C2312yes—
552#397C2312yes—
553#397C2312yes—
554#397C2314yes—
555#397C2314yes—
556#397C2312yes—
557#397C2314yes—
558#397C2314yes—
559#397C2314yes—
560#397C2311yescharacteristic
561#397C2312yes—
562#397C2312yes—
563#397C2314yes—
564#397C2314yes—
565#396C2314yes—
566#396C2314yes—
567#396C2314yes—
568#396C2314yes—
569#396C2314yes—
570#396C2314yes—
571#396C2314yes—
572#396C2314yes—
573#395C2312yes—
574#395C2314yes—
575#395C2314yes—
576#395C2312yes—
577#395C2311yescharacteristic
578#395C2311yescharacteristic
579#395C2314yes—
580#394C2311yescharacteristic
581#394C2312yes—
582#394C2312yes—
583#394C2312yes—
584#394C2314yes—
585#394C2314yes—
586#394C2314yes—
587#394C2314yes—
588#394C2314yes—
589#394C2312yes—
590#394C2314yes—
591#394C2311yescharacteristic
592#394C2314yes—
593#394C2312yes—
594#394C2314yes—
595#394C2314yes—
596#394C2314yes—
597#394C2314yes—
598#394C2314yes—
599#394C2314yes—
600#394C2314yes—
601#394C2314yes—
602#394C2314yes—
603#394C2312yes—
604#394C2314yes—
605#394C2314yes—
606#394C2314yes—
607#394C2314yes—
608#394C2314yes—
609#394C2314yes—
610#394C2314yes—
611#394C2314yes—
612#394C2314yes—
613#393C2314yes—
614#393C2314yes—
615#393C2312yes—
616#393C2314yes—
617#393C2314yes—
618#393C2312yes—
619#393C2311yescharacteristic
620#393C2311yescharacteristic
621#393C2314yes—
622#392C2311yescharacteristic
623#392C2312yes—
624#392C2314yes—
625#392C2314yes—
626#392C2312yes—
627#392C2312yes—
628#392C2314yes—
629#392C2314yes—
630#392C2312yes—
631#392C2314yes—
632#392C2314yes—
633#392C2314yes—
634#392C2311yescharacteristic
635#392C2312yes—
636#392C2312yes—
637#392C2314yes—
638#392C2314yes—
639#392C2314yes—
640#392C2314yes—
641#392C2314yes—
642#392C2314yes—
643#392C2314yes—
644#392C2314yes—
645#392C2314yes—
646#392C2314yes—
647#392C2314yes—
648#391C2312yes—
649#391C2312yes—
650#391C2314yes—
651#391C2312yes—
652#391C2312yes—
653#391C2314yes—
654#391C2314yes—
655#391C2312yes—
656#391C2312yes—
657#390C2312yes—
658#390C2312yes—
659#390C2314yes—
660#390C2314yes—
661#390C2314yes—
662#390C2312yes—
663#390C2314yes—
664#390C2314yes—
665#390C2314yes—
666#390C2314yes—
667#390C2312yes—
668#390C2312yes—
669#390C2312yes—
670#390C2312yes—
671#390C2312yes—
672#390C2314yes—
673#390C2314yes—
674#390C2314yes—
675#390C2312yes—
676#390C2312yes—
677#390C2314yes—
678#390C2312yes—
679#390C2312yes—
680#389C2312yes—
681#389C2312yes—
682#389C2312yes—
683#389C2312yes—
684#389C2312yes—
685#389C2314yes—
686#389C2312yes—
687#389C2314yes—
688#389C2312yes—
689#389C2314yes—
690#389C2312yes—
691#389C2314yes—
692#389C2312yes—
693#389C2312yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#388C2314yes—
698#388C2314yes—
699#388C2312yes—
700#388C2314yes—
701#388C2314yes—
702#388C2314yes—
703#388C2314yes—
704#388C2314yes—
705#388C2314yes—
706#388C2314yes—
707#388C2314yes—
708#388C2314yes—
709#388C2314yes—
710#388C2312yes—
711#388C2314yes—
712#388C2314yes—
713#388C2314yes—
714#388C2312yes—
715#388C2314yes—
716#388C2314yes—
717#388C2312yes—
718#388C2312yes—
719#388C2314yes—
720#388C2314yes—
721#388C2314yes—
722#388C2312yes—
723#388C2314yes—
724#388C2314yes—
725#388C2312yes—
726#388C2312yes—
727#387C2312yes—
728#387C2312yes—
729#387C2314yes—
730#387C2314yes—
731#387C2314yes—
732#387C2314yes—
733#387C2314yes—
734#387C2314yes—
735#387C2314yes—
736#387C2314yes—
737#387C2314yes—
738#387C2314yes—
739#387C2314yes—
740#387C2314yes—
741#387C2314yes—
742#387C2312yes—
743#387C2312yes—
744#386C2312yes—
745#386C2312yes—
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#386C2314yes—
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#386C2312yes—
772#386C2312yes—
773#386C2312yes—
774#386C2312yes—
775#386C2312yes—
776#386C2312yes—
777#385C2312yes—
778#385C2312yes—
779#385C2314yes—
780#385C2314yes—
781#385C2314yes—
782#385C2314yes—
783#385C2314yes—
784#385C2314yes—
785#385C2314yes—
786#385C2314yes—
787#385C2314yes—
788#385C2314yes—
789#385C2314yes—
790#385C2314yes—
791#385C2314yes—
792#385C2314yes—
793#385C2314yes—
794#385C2314yes—
795#385C2314yes—
796#385C2312yes—
797#385C2312yes—
798#384C2312yes—
799#383C2312yes—
800#383C2312yes—
801#383C2314yes—
802#382C2314yes—
803#382C2312yes—
804#382C2312yes—
805#382C2312yes—
806#381C2312yes—
807#381C2312yes—
808#381C2314yes—
809#381C2314yes—
810#380C2312yes—
811#380C2312yes—
812#380C2312yes—
813#380C2312yes—
814#380C2314yes—
815#380C2312yes—
816#380C2312yes—
817#380C2314yes—
818#380C2312yes—
819#380C2314yes—
820#380C2312yes—
821#379C2314yes—
822C4×C4⋊C4C2311yescharacteristic
823C4×C4⋊C4C2312yes—
824C4×C4⋊C4C2311yescharacteristic
825C4×C4⋊C4C2314yes—
826C4×C4⋊C4C2314yes—
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#376C2311yescharacteristic
844#376C2312yes—
845#376C2311yescharacteristic
846#376C2312yes—
847C2×#95C2312yes—
848C2×#95C2311yescharacteristic
849C2×#95C2311yescharacteristic
850C43C2312yes—
851C25C2412yes—
852C2×#41—28no—
853C2×#41—24no—
854C2×#41—28no—
855C2×#41—24no—
856C2×#41—216no—
857C2×#41—28no—
858C2×#41—44no—
859C2×#41—44no—
860C2×#41—44no—
861C2×#41—44no—
862C2×#41—44no—
863C2×#41—48no—
864C2×#41—84no—
865C2×#41—84no—
866C2×#41—82no—
867C2×#41—82no—
868C2×#41C2×D418yes—
869C22×Q8C2411yescharacteristic
870C22×Q8C2411yescharacteristic
871C22×Q8C2411yescharacteristic
872C22×Q8C2411yescharacteristic
873C22×Q8C2412yes—
874C22×Q8C2414yes—
875C22×Q8C2412yes—
876C22×D4—24no—
877C22×D4—44no—
878C22×D4C2411yescharacteristic
879C22×D4C2412yes—
880C22×D4C2414yes—
881C22×D4C2412yes—
882C22×D4C2411yescharacteristic
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2411yescharacteristic
886C22×D4C2412yes—
887C22×D4C2414yes—
888C22×D4C2411yescharacteristic
889C22×D4C2411yescharacteristic
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2411yescharacteristic
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2414yes—
900C22×D4C2412yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2414yes—
904C22×D4C2414yes—
905C22×D4C2412yes—
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2412yes—
909C23×C4C2412yes—
910C23×C4C2414yes—
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2412yes—
917C23×C4C2412yes—
918C23×C4C2414yes—
919C23×C4C2412yes—
920C23×C4C2414yes—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2412yes—
924C23×C4C2412yes—
925C23×C4C2412yes—
926C23×C4C2411yescharacteristic
927C23×C4C2411yescharacteristic
928C4⋊Q8—24no—
929C4⋊Q8—28no—
930C4⋊Q8—216no—
931C4⋊Q8—24no—
932C4⋊Q8—28no—
933C4⋊Q8—24no—
934C4⋊Q8—82no—
935#127—28no—
936#127—216no—
937#127—28no—
938#127—24no—
939#127—44no—
940#127—82no—
941#126—28no—
942#126—28no—
943#126—28no—
944#126—24no—
945#126—28no—
946#126—28no—
947#126—28no—
948#126—28no—
949#126—28no—
950#126—28no—
951#126—28no—
952#126—24no—
953#125—28no—
954#125—28no—
955#125—24no—
956#125—28no—
957#125—24no—
958#125—24no—
959#124—24no—
960#124—216no—
961#124—216no—
962#124—216no—
963#124—28no—
964#124—28no—
965#124—24no—
966#124—24no—
967#124—28no—
968#124—216no—
969#124—44no—
970#124—82no—
971#124—82no—
972#123—28no—
973#123—28no—
974#123—28no—
975#123—28no—
976#123—24no—
977#123—24no—
978#123—28no—
979#123—28no—
980#123—28no—
981#123—28no—
982#123—48no—
983#123—84no—
984#123—84no—
985C22⋊Q8—24no—
986C22⋊Q8—24no—
987C22⋊Q8—24no—
988C22⋊Q8—24no—
989C22⋊Q8—28no—
990C22⋊Q8—28no—
991C22⋊Q8—24no—
992C22⋊Q8—28no—
993C22⋊Q8—28no—
994C22⋊Q8—28no—
995C22⋊Q8—48no—
996C22⋊Q8—44no—
997C22⋊Q8—84no—
998C22⋊Q8—84no—
999#121—28no—
1000#121—216no—
1001#121—28no—
1002#121—28no—
1003#121—24no—
1004#121—24no—
1005#121—28no—
1006#121—28no—
1007#121—28no—
1008#121—28no—
1009#121—216no—
1010#121—28no—
1011#121—28no—
1012#121—216no—
1013#121—24no—
1014#121—216no—
1015#121—216no—
1016#121—216no—
1017#121—28no—
1018#121—48no—
1019#121—44no—
1020#121—44no—
1021#121—44no—
1022#121—44no—
1023#121—44no—
1024#121—84no—
1025#121—84no—
1026#121—84no—
1027#121—84no—
1028#120—28no—
1029#120—28no—
1030#120—48no—
1031#120—84no—
1032#120—84no—
1033C4×Q8—28no—
1034C4×Q8—24no—
1035C4×Q8—24no—
1036C4×Q8—28no—
1037C4×Q8—24no—
1038C4×Q8—24no—
1039C4×Q8—28no—
1040C4×Q8—24no—
1041C4×Q8C2×D418yes—
1042C4×Q8C2×D418yes—
1043C4×D4—24no—
1044C4×D4—24no—
1045C4×D4—216no—
1046C4×D4—28no—
1047C4×D4—28no—
1048C4×D4—216no—
1049C4×D4—28no—
1050C4×D4—28no—
1051C4×D4—24no—
1052C4×D4—24no—
1053C4×D4—28no—
1054C4×D4—28no—
1055C4×D4—216no—
1056C4×D4—24no—
1057C4×D4—28no—
1058C4×D4—28no—
1059C4×D4—28no—
1060C4×D4—216no—
1061C4×D4—24no—
1062C4×D4—28no—
1063C4×D4—28no—
1064C4×D4—24no—
1065C4×D4—24no—
1066C4×D4—24no—
1067C4×D4—28no—
1068C4×D4—44no—
1069C4×D4—44no—
1070C4×D4—48no—
1071C4×D4C2×D418yes—
1072C4×D4C2×D4116yes—
1073C4×D4C2×D418yes—
1074C4×D4C2×D4116yes—
1075#117—28no—
1076#117—24no—
1077#117—28no—
1078#117—216no—
1079#117—24no—
1080#117—28no—
1081#117—28no—
1082#117—216no—
1083#117—24no—
1084#117—24no—
1085#117—28no—
1086#117—28no—
1087#117—28no—
1088#117—44no—
1089#117C2×D4116yes—
1090#117C2×D418yes—
1091C2×C4⋊C4—28no—
1092C2×C4⋊C4—28no—
1093C2×C4⋊C4—28no—
1094C2×C4⋊C4—24no—
1095C2×C4⋊C4C2411yescharacteristic
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2411yescharacteristic
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2412yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2411yescharacteristic
1110C2×C4⋊C4C2411yescharacteristic
1111C2×C4⋊C4C2411yescharacteristic
1112C2×C4⋊C4C2411yescharacteristic
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2414yes—
1117C2×C4⋊C4C2412yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2411yescharacteristic
1120C2×C4⋊C4C2414yes—
1121C2×C4⋊C4C2412yes—
1122C2×C4⋊C4C2412yes—
1123C2×C4⋊C4C2412yes—
1124C2×C4⋊C4C2412yes—
1125C2×C4⋊C4C2412yes—
1126C2×C4⋊C4C2411yescharacteristic
1127C2×C4⋊C4C2412yes—
1128C2×C4⋊C4C2411yescharacteristic
1129C2×C4⋊C4C2414yes—
1130C2×C4⋊C4C2411yescharacteristic
1131C2×C4⋊C4C2412yes—
1132C2×C4⋊C4C2412yes—
1133C2×C4⋊C4C2412yes—
1134C2×C4⋊C4C2412yes—
1135C2×C4⋊C4C2412yes—
1136C2×C4⋊C4C2414yes—
1137C2×C4⋊C4C2414yes—
1138C2×C4⋊C4C2414yes—
1139C2×C4⋊C4C2414yes—
1140C2×C4⋊C4C2414yes—
1141C2×C4⋊C4C2412yes—
1142C2×C4⋊C4C2414yes—
1143C2×C4⋊C4C2414yes—
1144C2×C4⋊C4C2414yes—
1145C2×C4⋊C4C2414yes—
1146C2×C4⋊C4C2412yes—
1147C2×C4⋊C4C2414yes—
1148C2×C4⋊C4C2411yescharacteristic
1149C2×C4⋊C4C2411yescharacteristic
1150C2×C4⋊C4C2412yes—
1151C2×C4⋊C4C2412yes—
1152C2×C22⋊C4—28no—
1153C2×C22⋊C4—28no—
1154C2×C22⋊C4—28no—
1155C2×C22⋊C4—28no—
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2411yescharacteristic
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⋊C4C2411yescharacteristic
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2414yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2411yescharacteristic
1182C2×C22⋊C4C2411yescharacteristic
1183C2×C22⋊C4C2412yes—
1184C2×C22⋊C4C2412yes—
1185C2×C22⋊C4C2412yes—
1186C2×C22⋊C4C2411yescharacteristic
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2411yescharacteristic
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2411yescharacteristic
1191C2×C22⋊C4C2412yes—
1192C2×C22⋊C4C2412yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2412yes—
1198C2×C22⋊C4C2412yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2414yes—
1201C2×C22⋊C4C2414yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C22⋊C4C2414yes—
1205C2×C22⋊C4C2414yes—
1206C2×C22⋊C4C2412yes—
1207C2×C22⋊C4C2414yes—
1208C2×C22⋊C4C2414yes—
1209C2×C22⋊C4C2414yes—
1210C2×C22⋊C4C2414yes—
1211C2×C22⋊C4C2414yes—
1212C2×C22⋊C4C2414yes—
1213C2×C22⋊C4C2412yes—
1214C2×C22⋊C4C2412yes—
1215C2×C22⋊C4C2414yes—
1216C2×C22⋊C4C2414yes—
1217C2×C22⋊C4C2412yes—
1218C2×C22⋊C4C2414yes—
1219C2×C22⋊C4C2414yes—
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⋊C4C2412yes—
1230C2×C22⋊C4C2412yes—
1231C2×C22⋊C4C2412yes—
1232C2×C42—28no—
1233C2×C42—216no—
1234C2×C42—44no—
1235C2×C42C2×D4116yes—
1236C2×C42C2×D418yes—
1237C2×C42C2412yes—
1238C2×C42C2414yes—
1239C2×C42C2412yes—
1240C2×C42C2412yes—
1241C2×C42C2412yes—
1242C2×C42C2411yescharacteristic
1243C2×C42C2411yescharacteristic
1244C2×C42C2412yes—
1245C2×C42C2412yes—
1246C2×C42C2414yes—
1247C2×C42C2412yes—
1248C2×C42C2412yes—
1249C2×C42C2414yes—
1250C2×C42C2414yes—
1251C2×C42C2412yes—
1252C2×C42C2412yes—
1253C2×C42C2412yes—
1254C2×C42C2412yes—
1255C2×C42C2411yescharacteristic
1256C2×C42C2412yes—
1257C2×C42C2411yescharacteristic
1258C2×C42C2412yes—
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#95C2412yes—
1278#95C2412yes—
1279#95C2414yes—
1280#95C2412yes—
1281#95C2412yes—
1282#95C2414yes—
1283#95C2412yes—
1284#95C2414yes—
1285#95C2414yes—
1286#95C2414yes—
1287#95C2414yes—
1288#95C2412yes—
1289#95C2412yes—
1290#95C2414yes—
1291#95C2412yes—
1292#95C2414yes—
1293#95C2414yes—
1294#95C2414yes—
1295#95C2414yes—
1296#95C2414yes—
1297#95C2412yes—
1298#95C2414yes—
1299#95C2412yes—
1300#95C2412yes—
1301#95C2414yes—
1302#95C2414yes—
1303#95C2414yes—
1304#95C2414yes—
1305#95C2414yes—
1306#95C2414yes—
1307#95C2414yes—
1308#95C2414yes—
1309C24—24no—
1310C24—44no—
1311C24—44no—
1312C24—42no—
1313C24—42no—
1314C24C2511yescharacteristic
1315C24C2512yes—
1316C24C2511yescharacteristic
1317C24C2512yes—
1318C24C2514yes—
1319C24C2512yes—
1320C24C2511yescharacteristic
1321#41—416no—
1322#41—416no—
1323#41—416no—
1324#41—432no—
1325#41—432no—
1326#41—832no—
1327#41—816no—
1328C2×Q8—22no—
1329C2×Q8—22no—
1330C2×Q8—22no—
1331C2×Q8—24no—
1332C2×Q8—28no—
1333C2×Q8—24no—
1334C2×Q8—24no—
1335C2×Q8—24no—
1336C2×Q8—24no—
1337C2×Q8—44no—
1338C2×Q8—44no—
1339C2×Q8—44no—
1340C2×Q8—41no—
1341C2×Q8—42no—
1342C2×Q8—41no—
1343C2×Q8—42no—
1344C2×Q8C22×D414yes—
1345C2×D4—24no—
1346C2×D4—24no—
1347C2×D4—24no—
1348C2×D4—28no—
1349C2×D4—22no—
1350C2×D4—24no—
1351C2×D4—22no—
1352C2×D4—28no—
1353C2×D4—28no—
1354C2×D4—28no—
1355C2×D4—22no—
1356C2×D4—28no—
1357C2×D4—24no—
1358C2×D4—22no—
1359C2×D4—24no—
1360C2×D4—22no—
1361C2×D4—24no—
1362C2×D4—28no—
1363C2×D4—24no—
1364C2×D4—24no—
1365C2×D4—28no—
1366C2×D4—24no—
1367C2×D4—24no—
1368C2×D4—24no—
1369C2×D4—24no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—42no—
1374C2×D4—44no—
1375C2×D4—44no—
1376C2×D4—42no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—44no—
1382C2×D4—42no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—44no—
1387C2×D4—44no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—41no—
1402C2×D4—42no—
1403C2×D4—41no—
1404C2×D4—42no—
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—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—416no—
1418C2×D4C22×D414yes—
1419C2×D4C22×D418yes—
1420C22×C4—24no—
1421C22×C4—24no—
1422C22×C4—24no—
1423C22×C4—24no—
1424C22×C4—24no—
1425C22×C4—28no—
1426C22×C4—28no—
1427C22×C4—24no—
1428C22×C4—24no—
1429C22×C4—28no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—24no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—28no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—44no—
1442C22×C4—42no—
1443C22×C4—42no—
1444C22×C4—44no—
1445C22×C4—44no—
1446C22×C4—44no—
1447C22×C4—44no—
1448C22×C4—44no—
1449C22×C4—41no—
1450C22×C4—41no—
1451C22×C4—42no—
1452C22×C4—42no—
1453C22×C4—44no—
1454C22×C4—42no—
1455C22×C4—42no—
1456C22×C4—44no—
1457C22×C4—42no—
1458C22×C4—42no—
1459C22×C4—44no—
1460C22×C4—42no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—42no—
1465C22×C4—42no—
1466C22×C4—42no—
1467C22×C4—42no—
1468C22×C4—44no—
1469C22×C4—42no—
1470C22×C4—42no—
1471C22×C4C22×D414yes—
1472C22×C4C22×D418yes—
1473C22×C4C22×D418yes—
1474C22×C4C22×D418yes—
1475C22×C4C22×D414yes—
1476C22×C4C22×D414yes—
1477C22×C4C2512yes—
1478C22×C4C2512yes—
1479C22×C4C2514yes—
1480C22×C4C2512yes—
1481C22×C4C2512yes—
1482C22×C4C2514yes—
1483C22×C4C2512yes—
1484C22×C4C2511yescharacteristic
1485C22×C4C2512yes—
1486C22×C4C2511yescharacteristic
1487C22×C4C2512yes—
1488C22×C4C2514yes—
1489C22×C4C2512yes—
1490C22×C4C2511yescharacteristic
1491C22×C4C2511yescharacteristic
1492C22×C4C2511yescharacteristic
1493C22×C4C2511yescharacteristic
1494C22×C4C2512yes—
1495C22×C4C2511yescharacteristic
1496C22×C4C2512yes—
1497C22×C4C2511yescharacteristic
1498C22×C4C2511yescharacteristic
1499C22×C4C2511yescharacteristic
1500C22×C4C2512yes—
1501C22×C4C2512yes—
1502C22×C4C2511yescharacteristic
1503C22×C4C2512yes—
1504C22×C4C2511yescharacteristic
1505C4⋊C4—22no—
1506C4⋊C4—24no—
1507C4⋊C4—22no—
1508C4⋊C4—22no—
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—22no—
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—22no—
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—22no—
1524C4⋊C4—22no—
1525C4⋊C4—28no—
1526C4⋊C4—24no—
1527C4⋊C4—28no—
1528C4⋊C4—24no—
1529C4⋊C4—22no—
1530C4⋊C4—24no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—22no—
1535C4⋊C4—24no—
1536C4⋊C4—22no—
1537C4⋊C4—22no—
1538C4⋊C4—24no—
1539C4⋊C4—24no—
1540C4⋊C4—24no—
1541C4⋊C4—28no—
1542C4⋊C4—24no—
1543C4⋊C4—24no—
1544C4⋊C4—42no—
1545C4⋊C4—42no—
1546C4⋊C4—44no—
1547C4⋊C4—44no—
1548C4⋊C4—44no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—44no—
1553C4⋊C4—42no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—42no—
1557C4⋊C4—44no—
1558C4⋊C4C22×D414yes—
1559C4⋊C4C22×D414yes—
1560C4⋊C4C22×D418yes—
1561C4⋊C4C22×D418yes—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—24no—
1565C22⋊C4—28no—
1566C22⋊C4—22no—
1567C22⋊C4—24no—
1568C22⋊C4—22no—
1569C22⋊C4—22no—
1570C22⋊C4—22no—
1571C22⋊C4—24no—
1572C22⋊C4—22no—
1573C22⋊C4—22no—
1574C22⋊C4—24no—
1575C22⋊C4—24no—
1576C22⋊C4—24no—
1577C22⋊C4—24no—
1578C22⋊C4—24no—
1579C22⋊C4—24no—
1580C22⋊C4—24no—
1581C22⋊C4—24no—
1582C22⋊C4—22no—
1583C22⋊C4—28no—
1584C22⋊C4—24no—
1585C22⋊C4—28no—
1586C22⋊C4—28no—
1587C22⋊C4—28no—
1588C22⋊C4—28no—
1589C22⋊C4—24no—
1590C22⋊C4—22no—
1591C22⋊C4—22no—
1592C22⋊C4—24no—
1593C22⋊C4—24no—
1594C22⋊C4—24no—
1595C22⋊C4—22no—
1596C22⋊C4—28no—
1597C22⋊C4—24no—
1598C22⋊C4—24no—
1599C22⋊C4—44no—
1600C22⋊C4—42no—
1601C22⋊C4—42no—
1602C22⋊C4—42no—
1603C22⋊C4—42no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—42no—
1607C22⋊C4—44no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—42no—
1618C22⋊C4—44no—
1619C22⋊C4—44no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—44no—
1626C22⋊C4—42no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—42no—
1632C22⋊C4—44no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4C22×D418yes—
1636C22⋊C4C22×D418yes—
1637C22⋊C4C22×D418yes—
1638C42—24no—
1639C42—24no—
1640C42—28no—
1641C42—28no—
1642C42—24no—
1643C42—24no—
1644C42—24no—
1645C42—24no—
1646C42—22no—
1647C42—22no—
1648C42—24no—
1649C42—24no—
1650C42—42no—
1651C42—42no—
1652C42—44no—
1653C42—44no—
1654C42—42no—
1655C42—42no—
1656C42C22×D414yes—
1657C42C22×D418yes—
1658C42C22×D414yes—
1659C42C22×D414yes—
1660C42C22×D418yes—
1661C42C22×D418yes—
1662C42C22×D414yes—
1663C23—22no—
1664C23—24no—
1665C23—22no—
1666C23—24no—
1667C23—22no—
1668C23—22no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—22no—
1673C23—21no—
1674C23—24no—
1675C23—22no—
1676C23—24no—
1677C23—22no—
1678C23—22no—
1679C23—22no—
1680C23—24no—
1681C23—22no—
1682C23—24no—
1683C23—22no—
1684C23—24no—
1685C23—22no—
1686C23—22no—
1687C23—22no—
1688C23—24no—
1689C23—24no—
1690C23—21no—
1691C23—22no—
1692C23—21no—
1693C23—24no—
1694C23—22no—
1695C23—22no—
1696C23—21no—
1697C23—22no—
1698C23—24no—
1699C23—21no—
1700C23—48no—
1701C23—84no—
1702C23—84no—
1703C23—164no—
1704C23—164no—
1705C23C23×D412yes—
1706C23C23×D414yes—
1707C23C2611yescharacteristic
1708Q8—28no—
1709Q8—28no—
1710Q8—44no—
1711Q8—84no—
1712Q8—82no—
1713Q8—88no—
1714Q8—84no—
1715D4—28no—
1716D4—48no—
1717D4—416no—
1718D4—48no—
1719D4—44no—
1720D4—48no—
1721D4—416no—
1722D4—48no—
1723D4—48no—
1724D4—44no—
1725D4—48no—
1726D4—84no—
1727D4—82no—
1728D4—88no—
1729D4—84no—
1730D4—82no—
1731D4—82no—
1732D4—84no—
1733D4—88no—
1734D4—88no—
1735D4—88no—
1736D4—84no—
1737D4—88no—
1738D4—84no—
1739D4—164no—
1740D4—164no—
1741D4—164no—
1742D4—164no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—24no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—28no—
1757C2×C4—22no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—22no—
1761C2×C4—24no—
1762C2×C4—21no—
1763C2×C4—22no—
1764C2×C4—21no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—22no—
1768C2×C4—21no—
1769C2×C4—22no—
1770C2×C4—22no—
1771C2×C4—22no—
1772C2×C4—22no—
1773C2×C4—24no—
1774C2×C4—24no—
1775C2×C4—24no—
1776C2×C4—24no—
1777C2×C4—22no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—22no—
1781C2×C4—24no—
1782C2×C4—22no—
1783C2×C4—22no—
1784C2×C4—22no—
1785C2×C4—22no—
1786C2×C4—24no—
1787C2×C4—22no—
1788C2×C4—22no—
1789C2×C4—24no—
1790C2×C4—24no—
1791C2×C4—22no—
1792C2×C4—21no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—21no—
1796C2×C4—22no—
1797C2×C4—24no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—21no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—24no—
1804C2×C4—21no—
1805C2×C4—44no—
1806C2×C4—48no—
1807C2×C4—48no—
1808C2×C4—48no—
1809C2×C4—44no—
1810C2×C4—48no—
1811C2×C4—416no—
1812C2×C4—416no—
1813C2×C4—416no—
1814C2×C4—48no—
1815C2×C4—48no—
1816C2×C4—44no—
1817C2×C4—48no—
1818C2×C4—44no—
1819C2×C4—84no—
1820C2×C4—84no—
1821C2×C4—84no—
1822C2×C4—84no—
1823C2×C4—84no—
1824C2×C4—84no—
1825C2×C4—84no—
1826C2×C4C23×D412yes—
1827C2×C4C23×D412yes—
1828C2×C4C23×D414yes—
1829C2×C4C23×D414yes—
1830C2×C4C23×D414yes—
1831C2×C4C23×D412yes—
1832C2×C4C23×D412yes—
1833C2×C4C23×D412yes—
1834C2×C4C23×D412yes—
1835C2×C4#58514yes—
1836C2×C4#58514yes—
1837C22—24no—
1838C22—22no—
1839C22—24no—
1840C22—22no—
1841C22—22no—
1842C22—24no—
1843C22—42no—
1844C22—44no—
1845C22—42no—
1846C22—44no—
1847C22—42no—
1848C22—44no—
1849C22—42no—
1850C22—41no—
1851C22—41no—
1852C22—42no—
1853C22—44no—
1854C22—41no—
1855C22—42no—
1856C22—41no—
1857C22—42no—
1858C22—44no—
1859C22—42no—
1860C22—42no—
1861C22—44no—
1862C22—42no—
1863C22—44no—
1864C22—44no—
1865C22—42no—
1866C22—41no—
1867C22—41no—
1868C22—42no—
1869C22—42no—
1870C22—42no—
1871C22—44no—
1872C22—42no—
1873C22—44no—
1874C22—44no—
1875C22—42no—
1876C22—168no—
1877C22C24×D411yescharacteristic
1878C22C2×#58512yes—
1879C22C2×#58512yes—
1880C22H(7,𝔽2)11yescharacteristic
1881C22H(7,𝔽2)11yescharacteristic
1882C4—22no—
1883C4—22no—
1884C4—24no—
1885C4—24no—
1886C4—22no—
1887C4—24no—
1888C4—22no—
1889C4—22no—
1890C4—24no—
1891C4—41no—
1892C4—42no—
1893C4—41no—
1894C4—44no—
1895C4—42no—
1896C4—42no—
1897C4—41no—
1898C4—41no—
1899C4—42no—
1900C4—42no—
1901C4—44no—
1902C4—42no—
1903C4—41no—
1904C4—41no—
1905C4—42no—
1906C4—42no—
1907C4—42no—
1908C4—44no—
1909C4#344914yes—
1910C2—42no—
1911C2—44no—
1912C2—82no—
1913C2—84no—
1914C2—81no—
1915C2—82no—
1916C2—81no—
1917C2C2×#344911yescharacteristic
1918C2#6281111yescharacteristic
1919C2#6285211yescharacteristic
1920C2#6293712yes—
1921C2#6296612yes—
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×#3521C2semidirect
2. C2×#3483C2semidirect
3. #42889C2semidirect
4. #42885C2semidirect
5. #42813C2semidirect
6. #42809C2semidirect
7. #42681C2semidirect
8. #42677C2semidirect
9. #42483C2semidirect
10. #42479C2semidirect
11. #41423C2semidirect
12. #41419C2semidirect
13. #40605C2semidirect
14. #40601C2semidirect
15. #39963C2semidirect
16. #39961C2semidirect
17. #39958C2semidirect
18. #39957C2semidirect
19. #38439C2semidirect
20. #38437C2semidirect
21. #37559C2semidirect
22. #37547C2semidirect
23. #37235C2semidirect
24. #37234C2semidirect
25. #35600C2semidirect
26. #35524C2semidirect
27. #35342C2semidirect
28. #35303C2semidirect
29. #35205C2semidirect
30. #35195C2semidirect
31. #35191C2semidirect
32. #35143C2semidirect
33. #34911C2semidirect
34. #34876C2semidirect
35. #34056C2semidirect
38. C2×Q82C22semidirect
42. C2×#555C22semidirect
43. C2×#555C22semidirect
44. C2×#555C22semidirect
54. C2×#550C22semidirect
55. C2×#550C22semidirect
64. C2×#532C22semidirect
65. C2×#532C22semidirect
66. C2×#532C22semidirect
74. C2×C4×#41C22semidirect
75. C2×C4×#41C22semidirect
76. C2×C4×#41C22semidirect
77. #2861C22semidirect
81. #2852C22semidirect
82. #2851C22semidirect
83. #2850C22semidirect
84. #2850C22semidirect
86. #2821C22semidirect
88. #2818C22semidirect
89. #2816C22semidirect
90. #2816C22semidirect
93. #2716C22semidirect
94. #2715C22semidirect
95. #2714C22semidirect
96. #2713C22semidirect
98. #2711C22semidirect
100. #2709C22semidirect
101. #2708C22semidirect
103. #2700C22semidirect
104. #2691C22semidirect
105. #2688C22semidirect
106. #2681C22semidirect
107. #2677C22semidirect
109. #2676C22semidirect
110. #2676C22semidirect
111. #2675C22semidirect
113. #2674C22semidirect
116. #2673C22semidirect
117. #2672C22semidirect
118. #2672C22semidirect
120. #2671C22semidirect
126. #2662C22semidirect
129. #2661C22semidirect
130. #2661C22semidirect
131. #2660C22semidirect
133. #2641C22semidirect
136. #2637C22semidirect
139. #2636C22semidirect
140. #2636C22semidirect
141. #2633C22semidirect
142. #2631C22semidirect
143. #2625C22semidirect
145. #2621C22semidirect
146. #2621C22semidirect
147. #2619C22semidirect
148. #2619C22semidirect
149. #2618C22semidirect
150. #2618C22semidirect
153. #2616C22semidirect
155. #2611C22semidirect
157. #2610C22semidirect
159. #2604C22semidirect
160. #2604C22semidirect
163. #2603C22semidirect
164. #2603C22semidirect
165. #2603C22semidirect
166. #2603C22semidirect
167. #2603C22semidirect
169. #2602C22semidirect
170. #2602C22semidirect
172. #2601C22semidirect
174. #2600C22semidirect
175. #2599C22semidirect
176. #2599C22semidirect
177. #2598C22semidirect
178. #2598C22semidirect
180. #2592C22semidirect
181. #2591C22semidirect
182. #2584C22semidirect
183. #2579C22semidirect
184. #2564C22semidirect
185. #2562C22semidirect
186. #2548C22semidirect
188. #2546C22semidirect
190. #2543C22semidirect
191. #2543C22semidirect
194. #2540C22semidirect
198. #2498C22semidirect
199. #2484C22semidirect
202. #2477C22semidirect
203. #2476C22semidirect
204. #2475C22semidirect
205. #2474C22semidirect
207. #2471C22semidirect
209. #2464C22semidirect
210. #2463C22semidirect
211. #2461C22semidirect
212. #2460C22semidirect
215. #2456C22semidirect
216. #2454C22semidirect
218. #2452C22semidirect
219. #2451C22semidirect
221. #2446C22semidirect
224. #2441C22semidirect
225. #2440C22semidirect
227. #2439C22semidirect
229. #2432C22semidirect
230. #2432C22semidirect
235. #2430C22semidirect
236. #2430C22semidirect
240. #2426C22semidirect
244. #2421C22semidirect
246. #2416C22semidirect
248. #2415C22semidirect
253. #2414C22semidirect
258. #2407C22semidirect
259. #2407C22semidirect
260. #2406C22semidirect
261. #2406C22semidirect
264. #2399C22semidirect
266. #2398C22semidirect
268. #2395C22semidirect
269. #2388C22semidirect
271. #2326C22semidirect
273. #2324C22semidirect
274. #2324C22semidirect
275. #2323C22semidirect
276. #2322C22semidirect
278. #2320C22semidirect
279. #2320C22semidirect
280. #2320C22semidirect
284. #2318C22semidirect
285. #2318C22semidirect
286. #2318C22semidirect
287. C4×C22⋊Q8C22semidirect
290. C4×#121C22semidirect
291. #2298C22semidirect
293. #2296C22semidirect
294. #2293C22semidirect
296. #2290C22semidirect
297. #2283C22semidirect
298. #2283C22semidirect
299. C4×#117C22semidirect
300. C2×#376C22semidirect
452. C4×#41D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35212
C2×#34832
#428892
#428852
#428132
#428092
#426812
#426772
#424832
#424792
#414232
#414192
#406052
#406012
#399632
#399612
#399582
#399572
#384392
#384372
#375592
#375472
#372352
#372342
#356002
#355242
#353422
#353032
#352052
#351952
#351912
#351432
#349112
#348762
#340562