Finite Group Databasebeta

← #7678097

Subgroups — #7678097

Order 512.

7476 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3520C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#59807C212yesmaximal, complemented
4#59650C212yesmaximal, complemented
5#59317C212yesmaximal, complemented
6#59133C214yesmaximal, complemented
7#59124C212yesmaximal, complemented
8#59045C214yesmaximal, complemented
9#45387C211yesmaximal, characteristic, complemented
10#45357C211yesmaximal, characteristic, complemented
11#45271C211yesmaximal, characteristic, complemented
12#45269C211yesmaximal, characteristic, complemented
13#45269C211yesmaximal, characteristic, complemented
14#45266C211yesmaximal, characteristic, complemented
15#44938C211yesmaximal, characteristic, complemented
16#44933C211yesmaximal, characteristic, complemented
17#44635C214yesmaximal, complemented
18#44250C214yesmaximal, complemented
19#39858C214yesmaximal, complemented
20#38378C214yesmaximal, complemented
21#38366C214yesmaximal, complemented
22#36222C214yesmaximal, complemented
23#35572C212yesmaximal, complemented
24#35525C212yesmaximal, complemented
25#35232C211yesmaximal, characteristic, complemented
26#35195C212yesmaximal, complemented
27#34963C211yesmaximal, characteristic, complemented
28#34876C211yesmaximal, characteristic, complemented
29#34295C212yesmaximal, complemented
30#34221C211yesmaximal, characteristic, complemented
31C2×#2328C211yesmaximal, characteristic, complemented
32#3520—216no—
33#3475—216no—
34C2×#556C2211yescharacteristic, complemented
35C2×#556C2211yescharacteristic, complemented
36C2×#555C2211yescharacteristic, complemented
37C2×#554C2212yes—
38C2×#554C2211yescharacteristic, complemented
39C2×#553C2212yescomplemented
40C2×#552C2212yes—
41C2×#552C2212yescomplemented
42C2×#552C2212yescomplemented
43C2×#551C2214yes—
44C2×#551C2214yes—
45C2×#550C2212yes—
46C2×D4×Q8C2211yescharacteristic, complemented
47C2×#548C2212yescomplemented
48C2×#547C2211yescharacteristic, complemented
49C2×#547C2211yescharacteristic, complemented
50C2×#547C2211yescharacteristic, complemented
51C2×#546C2212yes—
52C2×#546C2212yes—
53C2×#542C2212yescomplemented
54C2×#539C2214yescomplemented
55C2×#533C2211yescharacteristic
56C22×#127C2211yescharacteristic
57C2×#529C2211yescharacteristic
58C2×#529C2214yescomplemented
59C2×#529C2212yescomplemented
60C2×#525C2212yes—
61C2×#525C2212yes—
62C22×C22⋊Q8C2212yes—
63C2×#520C2212yescomplemented
64C2×C4×#41C2211yescharacteristic
65C2×C4×#41C2212yescomplemented
66C22×C4×D4C2211yescharacteristic
67C22×C4×D4C2211yescharacteristic
68C22×#117C2212yes—
69#2852C2214yescomplemented
70#2850C2214yescomplemented
71#2849C2214yes—
72#2732C2214yescomplemented
73#2730C2214yescomplemented
74#2730C2214yescomplemented
75#2728C2214yescomplemented
76#2723C2214yescomplemented
77#2723C2214yescomplemented
78#2723C2214yescomplemented
79#2719C2214yescomplemented
80#2714C2214yescomplemented
81#2714C2214yescomplemented
82#2714C2214yescomplemented
83#2711C2214yescomplemented
84#2696C2214yescomplemented
85#2696C2214yescomplemented
86#2696C2214yescomplemented
87#2696C2214yescomplemented
88#2694C2214yescomplemented
89#2692C2214yescomplemented
90#2676C2214yescomplemented
91#2673C2214yes—
92#2673C2214yes—
93#2673C2214yescomplemented
94#2673C2214yescomplemented
95#2673C2214yescomplemented
96#2636C2214yescomplemented
97#2633C2212yescomplemented
98#2631C2214yescomplemented
99#2631C2212yescomplemented
100#2611C2212yescomplemented
101#2610C2212yescomplemented
102#2610C2214yescomplemented
103#2609C2214yescomplemented
104#2604C2212yescomplemented
105#2603C2212yescomplemented
106#2603C2214yescomplemented
107#2603C2214yescomplemented
108#2601C2214yescomplemented
109#2598C2214yescomplemented
110#2598C2214yescomplemented
111#2598C2214yescomplemented
112#2580C2211yescharacteristic, complemented
113#2580C2211yescharacteristic, complemented
114#2580C2211yescharacteristic, complemented
115#2580C2211yescharacteristic, complemented
116#2564C2212yes—
117#2561C2212yes—
118#2560C2214yescomplemented
119#2558C2214yescomplemented
120#2554C2214yescomplemented
121#2554C2214yescomplemented
122#2550C2212yescomplemented
123#2548C2212yes—
124#2544C2214yescomplemented
125#2543C2212yes—
126#2541C2212yes—
127#2541C2214yes—
128#2540C2214yescomplemented
129#2539C2214yes—
130#2539C2212yes—
131#2536C2212yescomplemented
132#2535C2211yescharacteristic, complemented
133#2535C2211yescharacteristic, complemented
134#2535C2211yescharacteristic, complemented
135#2535C2211yescharacteristic, complemented
136#2535C2214yescomplemented
137#2519C2214yescomplemented
138#2498C2212yes—
139#2491C2212yescomplemented
140#2490C2214yescomplemented
141#2490C2212yescomplemented
142#2489C2214yescomplemented
143#2488C2214yes—
144#2487C2212yes—
145#2486C2212yes—
146#2482C2212yes—
147#2481C2214yescomplemented
148#2481C2214yescomplemented
149#2481C2214yescomplemented
150#2479C2214yescomplemented
151#2479C2214yescomplemented
152#2477C2214yescomplemented
153#2477C2214yescomplemented
154#2472C2214yes—
155#2471C2214yescomplemented
156#2471C2214yescomplemented
157#2471C2214yescomplemented
158#2471C2214yescomplemented
159#2467C2214yescomplemented
160#2463C2214yescomplemented
161#2461C2214yescomplemented
162#2456C2214yescomplemented
163#2456C2214yescomplemented
164#2454C2212yescomplemented
165#2452C2212yescomplemented
166#2449C2214yescomplemented
167#2448C2212yescomplemented
168#2448C2212yescomplemented
169#2445C2214yes—
170#2445C2214yescomplemented
171#2443C2214yescomplemented
172#2443C2214yescomplemented
173#2443C2214yescomplemented
174#2443C2214yescomplemented
175#2442C2212yescomplemented
176#2439C2212yescomplemented
177#2438C2214yes—
178#2437C2214yes—
179#2436C2214yescomplemented
180#2433C2214yes—
181#2431C2212yes—
182#2431C2212yes—
183#2431C2214yescomplemented
184#2430C2212yes—
185#2428C2212yes—
186#2428C2212yes—
187#2426C2212yescomplemented
188#2426C2212yescomplemented
189#2425C2214yes—
190#2424C2214yes—
191#2421C2212yescomplemented
192#2421C2212yescomplemented
193#2416C2212yescomplemented
194#2414C2212yescomplemented
195#2412C2214yes—
196#2411C2214yes—
197#2410C2214yes—
198#2410C2214yes—
199#2409C2214yescomplemented
200#2408C2212yes—
201#2408C2212yes—
202#2407C2212yescomplemented
203#2407C2212yescomplemented
204#2407C2214yescomplemented
205#2404C2212yes—
206#2399C2211yescharacteristic, complemented
207#2398C2211yescharacteristic, complemented
208#2398C2211yescharacteristic, complemented
209#2398C2212yescomplemented
210#2397C2211yescharacteristic, complemented
211#2397C2212yescomplemented
212#2371C2214yescomplemented
213#2368C2214yes—
214#2366C2212yes—
215#2366C2214yescomplemented
216#2363C2214yescomplemented
217#2363C2212yescomplemented
218#2361C2212yescomplemented
219#2361C2214yescomplemented
220#2359C2214yes—
221#2358C2214yes—
222#2356C2214yescomplemented
223#2352C2214yescomplemented
224#2352C2212yescomplemented
225#2351C2212yescomplemented
226#2343C2214yes—
227#2342C2214yes—
228#2341C2212yescomplemented
229#2341C2212yescomplemented
230D4×C22⋊C4C2214yes—
231#2331C2211yescharacteristic, complemented
232#2331C2211yescharacteristic, complemented
233#2328C2211yescharacteristic
234#2328C2214yes—
235#2328C2211yescharacteristic
236#2328C2211yescharacteristic
237#2328C2211yescharacteristic
238#2328C2214yes—
239#2328C2211yescharacteristic
240#2328C2211yescharacteristic
241#2328C2211yescharacteristic
242#2328C2211yescharacteristic
243#2328C2214yescomplemented
244#2327C2211yescharacteristic, complemented
245#2327C2211yescharacteristic, complemented
246#2324C2212yescomplemented
247#2324C2212yescomplemented
248#2324C2214yescomplemented
249#2320C2212yescomplemented
250C4×C22⋊Q8C2212yes—
251C4×C22⋊Q8C2212yes—
252C4×#121C2212yes—
253C4×#121C2212yes—
254C4×#121C2212yescomplemented
255C4×#121C2214yescomplemented
256C4×#121C2212yescomplemented
257C4×#120C2214yes—
258C2×#390C2211yescharacteristic
259C2×#390C2211yescharacteristic
260#2290C2212yescomplemented
261#2290C2212yescomplemented
262#2290C2214yescomplemented
263C2×#386C2214yes—
264C2×#386C2214yes—
265#2283C2211yescharacteristic
266C2×#382C2211yescharacteristic
267#2276C2212yescomplemented
268C2×#376C2211yescharacteristic
269C22×#41C2312yes—
270C22×#41C2312yes—
271C22×#41C2311yescharacteristic
272C22×#41C2312yes—
273C23×Q8C2312yes—
274C23×D4C2311yescharacteristic
275C23×D4C2311yescharacteristic
276C23×D4C2314yes—
277C24×C4C2312yes—
278C24×C4C2312yes—
279#556—28no—
280#556—28no—
281#555—28no—
282#554—28no—
283#554—216no—
284#553—216no—
285#552—216no—
286#552—216no—
287#552—216no—
288#551—232no—
289#551—232no—
290#550—216no—
291D4×Q8—28no—
292#548—216no—
293#547—28no—
294#547—28no—
295#547—28no—
296#546—216no—
297#546—216no—
298#542—216no—
299#539—232no—
300#533D4116yescomplemented
301C2×C4⋊Q8C2312yes—
302C2×C4⋊Q8C2311yescharacteristic
303C2×C4⋊Q8C2311yescharacteristic
304C2×#127—28no—
305C2×#127C2314yes—
306C2×#127C2311yescharacteristic
307C2×#127C2311yescharacteristic
308C2×#127C2311yescharacteristic
309C2×#127C2314yes—
310C2×#127C2314yes—
311C2×#127C2311yescharacteristic
312#529—232no—
313#529—216no—
314#529—28no—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#126C2312yes—
318C2×#126C2314yes—
319C2×#126C2314yes—
320C2×#126C2314yes—
321C2×#125C2311yescharacteristic
322C2×#125C2314yes—
323C2×#125C2312yes—
324C2×#125C2314yes—
325C2×#125C2312yes—
326C2×#124C2314yes—
327C2×#124C2311yescharacteristic
328C2×#124C2312yes—
329C2×#124C2314yes—
330C2×#124C2312yes—
331C2×#124C2314yes—
332#525—216no—
333#525—216no—
334C2×#123C2312yes—
335C2×#123C2314yes—
336C2×#123C2314yes—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×C22⋊Q8—216no—
345C2×C22⋊Q8C2314yes—
346C2×C22⋊Q8C2311yescharacteristic
347C2×C22⋊Q8C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2314yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2314yes—
358C2×C22⋊Q8C2314yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×#121C2312yes—
362C2×#121C2314yes—
363C2×#121C2312yes—
364C2×#121C2314yes—
365C2×#121C2311yescharacteristic
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2314yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#120C2314yes—
381C2×#120C2314yes—
382C2×#120C2314yes—
383C2×#120C2314yes—
384#520—216no—
385C4×#41—216no—
386C4×#41—28no—
387C2×C4×Q8C2311yescharacteristic
388C2×C4×Q8C2311yescharacteristic
389C2×C4×Q8C2312yes—
390C2×C4×Q8C2312yes—
391C2×C4×Q8C2312yes—
392C2×C4×Q8C2311yescharacteristic
393C2×C4×Q8C2312yes—
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×D4—28no—
397C2×C4×D4—28no—
398C2×C4×D4C2312yes—
399C2×C4×D4C2311yescharacteristic
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2314yes—
402C2×C4×D4C2311yescharacteristic
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2314yes—
413C2×C4×D4C2314yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2312yes—
417C2×C4×D4C2314yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2314yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2314yes—
422C2×C4×D4C2311yescharacteristic
423C2×C4×D4C2311yescharacteristic
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2314yes—
428C2×C4×D4C2314yes—
429C2×C4×D4C2314yes—
430C2×C4×D4C2314yes—
431C2×#117—216no—
432C2×#117C2312yes—
433C2×#117C2314yes—
434C2×#117C2314yes—
435C2×#117C2312yes—
436C2×#117C2314yes—
437C2×#117C2312yes—
438C2×#117C2314yes—
439C2×#117C2311yescharacteristic
440C2×#117C2312yes—
441C2×#117C2312yes—
442C2×#117C2312yes—
443C2×#117C2312yes—
444C22×C4⋊C4C2314yes—
445C22×C4⋊C4C2312yes—
446C22×C4⋊C4C2312yes—
447C22×C4⋊C4C2312yes—
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2311yescharacteristic
450C22×C4⋊C4C2312yes—
451C22×C22⋊C4C2312yes—
452C22×C22⋊C4C2314yes—
453C22×C22⋊C4C2314yes—
454C22×C22⋊C4C2312yes—
455C22×C22⋊C4C2314yes—
456C22×C22⋊C4C2314yes—
457C22×C42C2314yes—
458C22×C42C2312yes—
459C22×C42C2311yescharacteristic
460C22×C42C2311yescharacteristic
461C22×C42C2311yescharacteristic
462#400C2312yes—
463#400C2314yes—
464#400C2314yes—
465#400C2314yes—
466#400C2312yes—
467#400C2314yes—
468#399C2312yes—
469#399C2312yes—
470#399C2312yes—
471#399C2312yes—
472#399C2312yes—
473#399C2314yes—
474#399C2314yes—
475#399C2314yes—
476#399C2312yes—
477#399C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2312yes—
481#398C2314yes—
482#398C2314yes—
483#398C2312yes—
484#397C2314yes—
485#397C2312yes—
486#397C2312yes—
487#397C2314yes—
488#397C2312yes—
489#397C2312yes—
490#397C2314yes—
491#397C2314yes—
492#397C2312yes—
493#397C2312yes—
494#397C2314yes—
495#397C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#395C2312yes—
503#395C2312yes—
504#395C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2312yes—
512#394C2314yes—
513#394C2314yes—
514#394C2312yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#393C2314yes—
523#393C2312yes—
524#393C2312yes—
525#393C2312yes—
526#393C2312yes—
527#393C2312yes—
528#393C2312yes—
529#393C2314yes—
530#393C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2312yes—
536#392C2314yes—
537#392C2312yes—
538#392C2314yes—
539#392C2312yes—
540#392C2314yes—
541#392C2314yes—
542#392C2314yes—
543#392C2314yes—
544#392C2312yes—
545#392C2314yes—
546#392C2312yes—
547#392C2312yes—
548#392C2314yes—
549#392C2314yes—
550#391C2314yes—
551#391C2312yes—
552#391C2312yes—
553#391C2314yes—
554#391C2314yes—
555#391C2314yes—
556#390C2314yes—
557#390C2312yes—
558#390C2312yes—
559#390C2314yes—
560#390C2314yes—
561#390C2314yes—
562#390C2314yes—
563#390C2314yes—
564#390C2312yes—
565#390C2312yes—
566#390C2311yescharacteristic
567#390C2311yescharacteristic
568#390C2311yescharacteristic
569#390C2311yescharacteristic
570#390C2311yescharacteristic
571#390C2311yescharacteristic
572#390C2311yescharacteristic
573#390C2311yescharacteristic
574#390C2314yes—
575#390C2314yes—
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#390C2314yes—
581#390C2312yes—
582#390C2312yes—
583#390C2314yes—
584#390C2314yes—
585#390C2314yes—
586#390C2314yes—
587#389C2312yes—
588#389C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2314yes—
592#389C2312yes—
593#389C2312yes—
594#389C2314yes—
595#389C2312yes—
596#389C2312yes—
597#389C2314yes—
598#388C2314yes—
599#388C2314yes—
600#388C2314yes—
601#388C2314yes—
602#388C2314yes—
603#388C2314yes—
604#388C2312yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2314yes—
609#388C2314yes—
610#388C2314yes—
611#388C2314yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2312yes—
616#388C2312yes—
617#388C2314yes—
618#388C2312yes—
619#388C2312yes—
620#388C2312yes—
621#388C2312yes—
622#388C2314yes—
623#388C2312yes—
624#388C2314yes—
625#388C2314yes—
626#387C2312yes—
627#387C2312yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2312yes—
637#387C2314yes—
638#387C2314yes—
639#387C2312yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2314yes—
644#386C2314yes—
645#386C2312yes—
646#386C2312yes—
647#386C2314yes—
648#386C2314yes—
649#386C2314yes—
650#386C2314yes—
651#386C2314yes—
652#386C2314yes—
653#386C2314yes—
654#386C2314yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2312yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2312yes—
685#386C2312yes—
686#386C2312yes—
687#386C2312yes—
688#386C2312yes—
689#386C2314yes—
690#386C2314yes—
691#385C2312yes—
692#385C2312yes—
693#385C2314yes—
694#385C2312yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#385C2314yes—
703#385C2314yes—
704#385C2312yes—
705#385C2314yes—
706#385C2314yes—
707#385C2314yes—
708#385C2314yes—
709#385C2314yes—
710#383C2314yes—
711#383C2312yes—
712#382C2314yes—
713#382C2311yescharacteristic
714#382C2311yescharacteristic
715#382C2311yescharacteristic
716#382C2311yescharacteristic
717#382C2311yescharacteristic
718#382C2314yes—
719#382C2311yescharacteristic
720#382C2314yes—
721#381C2314yes—
722#381C2312yes—
723#380C2312yes—
724#380C2312yes—
725#380C2314yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2314yes—
730#380C2314yes—
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#379C2314yes—
735#379C2314yes—
736C4×C4⋊C4C2314yes—
737C4×C4⋊C4C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2314yes—
744C4×C4⋊C4C2314yes—
745C4×C4⋊C4C2314yes—
746C4×C4⋊C4C2312yes—
747C4×C22⋊C4C2314yes—
748C4×C22⋊C4C2312yes—
749C4×C22⋊C4C2314yes—
750C4×C22⋊C4C2314yes—
751C4×C22⋊C4C2314yes—
752C4×C22⋊C4C2312yes—
753C4×C22⋊C4C2312yes—
754C4×C22⋊C4C2314yes—
755C4×C22⋊C4C2314yes—
756C4×C22⋊C4C2314yes—
757C4×C22⋊C4C2314yes—
758C4×C22⋊C4C2312yes—
759C4×C22⋊C4C2312yes—
760#376C2311yescharacteristic
761#376C2311yescharacteristic
762#376C2311yescharacteristic
763#376C2312yes—
764#376C2312yes—
765#376C2311yescharacteristic
766#376C2314yes—
767#376C2312yes—
768C2×#95C2312yes—
769C2×#95C2312yes—
770C2×#95C2314yes—
771C25C2412yes—
772C25C2412yes—
773C2×#41—28no—
774C2×#41—28no—
775C2×#41—28no—
776C2×#41—28no—
777C2×#41—28no—
778C2×#41—24no—
779C2×#41—44no—
780C2×#41—44no—
781C2×#41—44no—
782C2×#41—84no—
783C22×Q8—28no—
784C22×Q8—84no—
785C22×Q8C2412yes—
786C22×Q8C2411yescharacteristic
787C22×Q8C2411yescharacteristic
788C22×Q8C2414yes—
789C22×Q8C2412yes—
790C22×D4—24no—
791C22×D4—24no—
792C22×D4—216no—
793C22×D4—24no—
794C22×D4—24no—
795C22×D4—42no—
796C22×D4—42no—
797C22×D4—48no—
798C22×D4—84no—
799C22×D4C2412yes—
800C22×D4C2412yes—
801C22×D4C2411yescharacteristic
802C22×D4C2411yescharacteristic
803C22×D4C2414yes—
804C22×D4C2414yes—
805C22×D4C2412yes—
806C22×D4C2412yes—
807C22×D4C2411yescharacteristic
808C22×D4C2411yescharacteristic
809C22×D4C2411yescharacteristic
810C22×D4C2414yes—
811C22×D4C2414yes—
812C22×D4C2414yes—
813C22×D4C2411yescharacteristic
814C22×D4C2412yes—
815C22×D4C2414yes—
816C22×D4C2414yes—
817C22×D4C2414yes—
818C22×D4C2414yes—
819C22×D4C2414yes—
820C22×D4C2412yes—
821C22×D4C2414yes—
822C22×D4C2414yes—
823C23×C4—28no—
824C23×C4—28no—
825C23×C4—48no—
826C23×C4—84no—
827C23×C4C2412yes—
828C23×C4C2412yes—
829C23×C4C2412yes—
830C23×C4C2414yes—
831C23×C4C2414yes—
832C23×C4C2412yes—
833C23×C4C2411yescharacteristic
834C23×C4C2411yescharacteristic
835C23×C4C2412yes—
836C23×C4C2412yes—
837C23×C4C2414yes—
838C23×C4C2414yes—
839C23×C4C2412yes—
840C23×C4C2412yes—
841C23×C4C2414yes—
842C23×C4C2412yes—
843C23×C4C2412yes—
844C23×C4C2412yes—
845C23×C4C2412yes—
846C23×C4C2412yes—
847C23×C4C2412yes—
848C23×C4C2412yes—
849C23×C4C2412yes—
850C23×C4C2411yescharacteristic
851C4⋊Q8—28no—
852C4⋊Q8C2×D418yescomplemented
853C4⋊Q8C2×D418yescomplemented
854#127—216no—
855#127—24no—
856#127—24no—
857#127—216no—
858#127—24no—
859#127—84no—
860#127#4118yescomplemented
861#126—216no—
862#126—216no—
863#126—216no—
864#126—216no—
865#126—28no—
866#126—216no—
867#125—216no—
868#125—28no—
869#125—216no—
870#125—24no—
871#125C2×D4116yescomplemented
872#124—28no—
873#124—216no—
874#124—28no—
875#124—24no—
876#124—216no—
877#124—84no—
878#123—28no—
879#123—216no—
880#123—216no—
881#123—216no—
882#123—216no—
883#123—216no—
884#123—216no—
885#123—216no—
886#123—216no—
887#123—48no—
888C22⋊Q8—28no—
889C22⋊Q8—28no—
890C22⋊Q8—28no—
891C22⋊Q8—216no—
892C22⋊Q8—28no—
893C22⋊Q8—24no—
894C22⋊Q8—216no—
895C22⋊Q8—28no—
896C22⋊Q8—28no—
897C22⋊Q8—28no—
898C22⋊Q8—216no—
899C22⋊Q8—216no—
900C22⋊Q8—216no—
901C22⋊Q8—84no—
902C22⋊Q8C2×D4116yes—
903C22⋊Q8C2×D4116yes—
904#121—28no—
905#121—28no—
906#121—216no—
907#121—216no—
908#121—24no—
909#121—28no—
910#121—28no—
911#121—28no—
912#121—216no—
913#121—28no—
914#121—216no—
915#121—28no—
916#121—44no—
917#121—44no—
918#121—44no—
919#121—44no—
920#121—84no—
921#121—84no—
922#121—84no—
923#120—216no—
924#120—216no—
925#120—48no—
926#120—48no—
927C4×Q8—28no—
928C4×Q8—28no—
929C4×Q8—24no—
930C4×Q8—24no—
931C4×Q8—24no—
932C4×Q8—28no—
933C4×Q8—44no—
934C4×Q8C2×D4116yescomplemented
935C4×Q8C2×D4116yescomplemented
936C4×D4—216no—
937C4×D4—28no—
938C4×D4—28no—
939C4×D4—28no—
940C4×D4—28no—
941C4×D4—216no—
942C4×D4—216no—
943C4×D4—28no—
944C4×D4—216no—
945C4×D4—24no—
946C4×D4—24no—
947C4×D4—24no—
948C4×D4—28no—
949C4×D4—28no—
950C4×D4—24no—
951C4×D4—24no—
952C4×D4—24no—
953C4×D4—24no—
954C4×D4—28no—
955C4×D4—28no—
956C4×D4—24no—
957C4×D4—216no—
958C4×D4—24no—
959C4×D4—24no—
960C4×D4—216no—
961C4×D4—216no—
962C4×D4—24no—
963C4×D4—28no—
964C4×D4—44no—
965C4×D4—84no—
966C4×D4—84no—
967C4×D4—84no—
968C4×D4—84no—
969#117—24no—
970#117—28no—
971#117—28no—
972#117—216no—
973#117—28no—
974#117—28no—
975#117—216no—
976#117—216no—
977#117—28no—
978#117—28no—
979#117—216no—
980#117C2×D4116yes—
981C2×C4⋊C4—24no—
982C2×C4⋊C4—24no—
983C2×C4⋊C4—28no—
984C2×C4⋊C4—28no—
985C2×C4⋊C4—216no—
986C2×C4⋊C4—28no—
987C2×C4⋊C4—28no—
988C2×C4⋊C4C2411yescharacteristic
989C2×C4⋊C4C2411yescharacteristic
990C2×C4⋊C4C2411yescharacteristic
991C2×C4⋊C4C2412yes—
992C2×C4⋊C4C2414yes—
993C2×C4⋊C4C2411yescharacteristic
994C2×C4⋊C4C2411yescharacteristic
995C2×C4⋊C4C2414yes—
996C2×C4⋊C4C2414yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2412yes—
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2412yes—
1001C2×C4⋊C4C2414yes—
1002C2×C4⋊C4C2414yes—
1003C2×C4⋊C4C2412yes—
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2414yes—
1007C2×C4⋊C4C2412yes—
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2414yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2412yes—
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2414yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2414yes—
1018C2×C4⋊C4C2414yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2414yes—
1022C2×C4⋊C4C2414yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2414yes—
1027C2×C4⋊C4C2414yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C22⋊C4—28no—
1035C2×C22⋊C4—28no—
1036C2×C22⋊C4—216no—
1037C2×C22⋊C4—216no—
1038C2×C22⋊C4—48no—
1039C2×C22⋊C4—84no—
1040C2×C22⋊C4C2412yes—
1041C2×C22⋊C4C2412yes—
1042C2×C22⋊C4C2412yes—
1043C2×C22⋊C4C2412yes—
1044C2×C22⋊C4C2414yes—
1045C2×C22⋊C4C2414yes—
1046C2×C22⋊C4C2412yes—
1047C2×C22⋊C4C2412yes—
1048C2×C22⋊C4C2412yes—
1049C2×C22⋊C4C2412yes—
1050C2×C22⋊C4C2412yes—
1051C2×C22⋊C4C2412yes—
1052C2×C22⋊C4C2414yes—
1053C2×C22⋊C4C2414yes—
1054C2×C22⋊C4C2414yes—
1055C2×C22⋊C4C2414yes—
1056C2×C22⋊C4C2412yes—
1057C2×C22⋊C4C2412yes—
1058C2×C22⋊C4C2414yes—
1059C2×C22⋊C4C2412yes—
1060C2×C22⋊C4C2412yes—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2412yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2414yes—
1067C2×C22⋊C4C2412yes—
1068C2×C22⋊C4C2414yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2412yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2414yes—
1073C2×C22⋊C4C2414yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2414yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2414yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C42—216no—
1106C2×C42—28no—
1107C2×C42—24no—
1108C2×C42—42no—
1109C2×C42C2×D418yes—
1110C2×C42C2414yes—
1111C2×C42C2412yes—
1112C2×C42C2414yes—
1113C2×C42C2412yes—
1114C2×C42C2414yes—
1115C2×C42C2412yes—
1116C2×C42C2412yes—
1117C2×C42C2411yescharacteristic
1118C2×C42C2414yes—
1119C2×C42C2411yescharacteristic
1120C2×C42C2411yescharacteristic
1121C2×C42C2412yes—
1122C2×C42C2414yes—
1123C2×C42C2414yes—
1124C2×C42C2414yes—
1125C2×C42C2414yes—
1126C2×C42C2412yes—
1127C2×C42C2414yes—
1128C2×C42C2411yescharacteristic
1129C2×C42C2411yescharacteristic
1130C2×C42C2411yescharacteristic
1131C2×C42C2411yescharacteristic
1132C2×C42C2411yescharacteristic
1133#95C2412yes—
1134#95C2412yes—
1135#95C2412yes—
1136#95C2412yes—
1137#95C2412yes—
1138#95C2412yes—
1139#95C2412yes—
1140#95C2412yes—
1141#95C2414yes—
1142#95C2414yes—
1143#95C2414yes—
1144#95C2414yes—
1145#95C2414yes—
1146#95C2414yes—
1147#95C2414yes—
1148#95C2414yes—
1149#95C2412yes—
1150#95C2412yes—
1151#95C2412yes—
1152#95C2414yes—
1153#95C2412yes—
1154#95C2412yes—
1155#95C2414yes—
1156#95C2412yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2412yes—
1160#95C2412yes—
1161#95C2414yes—
1162#95C2412yes—
1163#95C2412yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2412yes—
1169#95C2414yes—
1170#95C2412yes—
1171#95C2412yes—
1172#95C2412yes—
1173#95C2412yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2414yes—
1178#95C2414yes—
1179C24—24no—
1180C24—24no—
1181C24—24no—
1182C24—24no—
1183C24—28no—
1184C24—28no—
1185C24—44no—
1186C24—44no—
1187C24—42no—
1188C24—42no—
1189C24C2512yes—
1190C24C2512yes—
1191C24C2512yes—
1192C24C2512yes—
1193C24C2512yes—
1194C24C2512yes—
1195C24C2511yescharacteristic
1196#41—416no—
1197#41—432no—
1198#41—432no—
1199#41—816no—
1200C2×Q8—22no—
1201C2×Q8—22no—
1202C2×Q8—28no—
1203C2×Q8—24no—
1204C2×Q8—24no—
1205C2×Q8—42no—
1206C2×Q8—44no—
1207C2×Q8—42no—
1208C2×Q8—44no—
1209C2×Q8—44no—
1210C2×Q8—816no—
1211C2×Q8C22×D418yes—
1212C2×Q8C22×D418yes—
1213C2×D4—24no—
1214C2×D4—24no—
1215C2×D4—28no—
1216C2×D4—28no—
1217C2×D4—24no—
1218C2×D4—24no—
1219C2×D4—24no—
1220C2×D4—24no—
1221C2×D4—24no—
1222C2×D4—24no—
1223C2×D4—28no—
1224C2×D4—28no—
1225C2×D4—28no—
1226C2×D4—28no—
1227C2×D4—22no—
1228C2×D4—22no—
1229C2×D4—28no—
1230C2×D4—28no—
1231C2×D4—22no—
1232C2×D4—24no—
1233C2×D4—24no—
1234C2×D4—22no—
1235C2×D4—22no—
1236C2×D4—22no—
1237C2×D4—28no—
1238C2×D4—28no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—24no—
1242C2×D4—28no—
1243C2×D4—22no—
1244C2×D4—22no—
1245C2×D4—22no—
1246C2×D4—22no—
1247C2×D4—416no—
1248C2×D4—416no—
1249C2×D4—44no—
1250C2×D4—42no—
1251C2×D4—42no—
1252C2×D4—44no—
1253C2×D4—44no—
1254C2×D4—44no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—44no—
1259C2×D4—44no—
1260C2×D4—44no—
1261C2×D4—44no—
1262C2×D4—44no—
1263C2×D4—44no—
1264C2×D4—42no—
1265C2×D4—44no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—44no—
1271C2×D4—44no—
1272C2×D4—44no—
1273C2×D4—42no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—44no—
1277C2×D4—44no—
1278C2×D4—44no—
1279C2×D4—44no—
1280C2×D4—44no—
1281C2×D4—44no—
1282C2×D4—832no—
1283C2×D4C2×#4114yes—
1284C2×D4C2×#4114yes—
1285C2×D4C2×#41116yes—
1286C22×C4—24no—
1287C22×C4—22no—
1288C22×C4—22no—
1289C22×C4—24no—
1290C22×C4—28no—
1291C22×C4—28no—
1292C22×C4—28no—
1293C22×C4—24no—
1294C22×C4—24no—
1295C22×C4—24no—
1296C22×C4—24no—
1297C22×C4—28no—
1298C22×C4—24no—
1299C22×C4—24no—
1300C22×C4—28no—
1301C22×C4—24no—
1302C22×C4—24no—
1303C22×C4—24no—
1304C22×C4—24no—
1305C22×C4—24no—
1306C22×C4—24no—
1307C22×C4—24no—
1308C22×C4—24no—
1309C22×C4—24no—
1310C22×C4—24no—
1311C22×C4—24no—
1312C22×C4—28no—
1313C22×C4—24no—
1314C22×C4—28no—
1315C22×C4—24no—
1316C22×C4—28no—
1317C22×C4—24no—
1318C22×C4—44no—
1319C22×C4—44no—
1320C22×C4—44no—
1321C22×C4—44no—
1322C22×C4—42no—
1323C22×C4—44no—
1324C22×C4—44no—
1325C22×C4—42no—
1326C22×C4—44no—
1327C22×C4—44no—
1328C22×C4—42no—
1329C22×C4—42no—
1330C22×C4—42no—
1331C22×C4—42no—
1332C22×C4—44no—
1333C22×C4—42no—
1334C22×C4—42no—
1335C22×C4—44no—
1336C22×C4—44no—
1337C22×C4—44no—
1338C22×C4—44no—
1339C22×C4—44no—
1340C22×C4—44no—
1341C22×C4—44no—
1342C22×C4—44no—
1343C22×C4—432no—
1344C22×C4—816no—
1345C22×C4C22×D414yes—
1346C22×C4C22×D414yes—
1347C22×C4C22×D414yes—
1348C22×C4C2512yes—
1349C22×C4C2514yes—
1350C22×C4C2514yes—
1351C22×C4C2512yes—
1352C22×C4C2512yes—
1353C22×C4C2512yes—
1354C22×C4C2512yes—
1355C22×C4C2512yes—
1356C22×C4C2512yes—
1357C22×C4C2512yes—
1358C22×C4C2512yes—
1359C22×C4C2512yes—
1360C22×C4C2512yes—
1361C22×C4C2512yes—
1362C22×C4C2512yes—
1363C22×C4C2511yescharacteristic
1364C22×C4C2511yescharacteristic
1365C22×C4C2511yescharacteristic
1366C22×C4C2511yescharacteristic
1367C22×C4C2511yescharacteristic
1368C22×C4C2514yes—
1369C22×C4C2514yes—
1370C22×C4C2512yes—
1371C22×C4C2511yescharacteristic
1372C4⋊C4—22no—
1373C4⋊C4—22no—
1374C4⋊C4—22no—
1375C4⋊C4—24no—
1376C4⋊C4—28no—
1377C4⋊C4—22no—
1378C4⋊C4—22no—
1379C4⋊C4—28no—
1380C4⋊C4—28no—
1381C4⋊C4—24no—
1382C4⋊C4—22no—
1383C4⋊C4—22no—
1384C4⋊C4—24no—
1385C4⋊C4—28no—
1386C4⋊C4—28no—
1387C4⋊C4—24no—
1388C4⋊C4—22no—
1389C4⋊C4—24no—
1390C4⋊C4—28no—
1391C4⋊C4—24no—
1392C4⋊C4—28no—
1393C4⋊C4—28no—
1394C4⋊C4—24no—
1395C4⋊C4—24no—
1396C4⋊C4—24no—
1397C4⋊C4—28no—
1398C4⋊C4—24no—
1399C4⋊C4—24no—
1400C4⋊C4—42no—
1401C4⋊C4—42no—
1402C4⋊C4—44no—
1403C4⋊C4—44no—
1404C4⋊C4—44no—
1405C4⋊C4—42no—
1406C4⋊C4—42no—
1407C4⋊C4—44no—
1408C4⋊C4—44no—
1409C4⋊C4—42no—
1410C4⋊C4—44no—
1411C4⋊C4—44no—
1412C4⋊C4C22×D418yes—
1413C4⋊C4C22×D418yes—
1414C4⋊C4C22×D418yes—
1415C4⋊C4C22×D4116yes—
1416C4⋊C4C22×D418yes—
1417C4⋊C4C22×D4116yes—
1418C22⋊C4—24no—
1419C22⋊C4—24no—
1420C22⋊C4—28no—
1421C22⋊C4—28no—
1422C22⋊C4—28no—
1423C22⋊C4—24no—
1424C22⋊C4—24no—
1425C22⋊C4—28no—
1426C22⋊C4—28no—
1427C22⋊C4—24no—
1428C22⋊C4—24no—
1429C22⋊C4—24no—
1430C22⋊C4—24no—
1431C22⋊C4—24no—
1432C22⋊C4—24no—
1433C22⋊C4—28no—
1434C22⋊C4—28no—
1435C22⋊C4—28no—
1436C22⋊C4—28no—
1437C22⋊C4—24no—
1438C22⋊C4—24no—
1439C22⋊C4—28no—
1440C22⋊C4—24no—
1441C22⋊C4—24no—
1442C22⋊C4—28no—
1443C22⋊C4—28no—
1444C22⋊C4—24no—
1445C22⋊C4—28no—
1446C22⋊C4—28no—
1447C22⋊C4—24no—
1448C22⋊C4—24no—
1449C22⋊C4—24no—
1450C22⋊C4—44no—
1451C22⋊C4—44no—
1452C22⋊C4—44no—
1453C22⋊C4—44no—
1454C22⋊C4—44no—
1455C22⋊C4—44no—
1456C22⋊C4—44no—
1457C22⋊C4—44no—
1458C22⋊C4—42no—
1459C22⋊C4—42no—
1460C22⋊C4—42no—
1461C22⋊C4—44no—
1462C22⋊C4—44no—
1463C22⋊C4—44no—
1464C22⋊C4—44no—
1465C22⋊C4—44no—
1466C22⋊C4—44no—
1467C22⋊C4—44no—
1468C22⋊C4—44no—
1469C22⋊C4—44no—
1470C22⋊C4—44no—
1471C22⋊C4—44no—
1472C22⋊C4—42no—
1473C22⋊C4—42no—
1474C22⋊C4—42no—
1475C22⋊C4—42no—
1476C22⋊C4—42no—
1477C22⋊C4—42no—
1478C22⋊C4—44no—
1479C22⋊C4—44no—
1480C22⋊C4—44no—
1481C22⋊C4—42no—
1482C22⋊C4C22×D4116yes—
1483C42—24no—
1484C42—28no—
1485C42—28no—
1486C42—24no—
1487C42—24no—
1488C42—28no—
1489C42—24no—
1490C42—24no—
1491C42—22no—
1492C42—28no—
1493C42—22no—
1494C42—22no—
1495C42—42no—
1496C42—44no—
1497C42—44no—
1498C42—44no—
1499C42—44no—
1500C42C22×D414yes—
1501C42C22×D4116yes—
1502C42C22×D414yes—
1503C42C22×D414yes—
1504C42C22×D414yes—
1505C42C2×#4114yes—
1506C23—21no—
1507C23—21no—
1508C23—22no—
1509C23—22no—
1510C23—22no—
1511C23—24no—
1512C23—24no—
1513C23—22no—
1514C23—22no—
1515C23—24no—
1516C23—24no—
1517C23—22no—
1518C23—22no—
1519C23—22no—
1520C23—22no—
1521C23—22no—
1522C23—22no—
1523C23—22no—
1524C23—22no—
1525C23—22no—
1526C23—24no—
1527C23—22no—
1528C23—22no—
1529C23—22no—
1530C23—22no—
1531C23—22no—
1532C23—24no—
1533C23—22no—
1534C23—22no—
1535C23—22no—
1536C23—22no—
1537C23—24no—
1538C23—22no—
1539C23—24no—
1540C23—22no—
1541C23—48no—
1542C23—48no—
1543C23—416no—
1544C23—416no—
1545C23—48no—
1546C23—48no—
1547C23—84no—
1548C23—84no—
1549C23—88no—
1550C23—88no—
1551C23C23×D412yes—
1552C23C22×#4114yes—
1553C23C22×#4114yes—
1554C23#58514yes—
1555C23C2611yescharacteristic
1556Q8—216no—
1557Q8—48no—
1558Q8—44no—
1559Q8—44no—
1560Q8—88no—
1561D4—28no—
1562D4—28no—
1563D4—416no—
1564D4—48no—
1565D4—48no—
1566D4—416no—
1567D4—416no—
1568D4—44no—
1569D4—44no—
1570D4—48no—
1571D4—48no—
1572D4—44no—
1573D4—44no—
1574D4—84no—
1575D4—88no—
1576D4—88no—
1577D4—88no—
1578D4—88no—
1579D4—88no—
1580D4—88no—
1581D4—88no—
1582D4—84no—
1583D4—88no—
1584D4—164no—
1585C2×C4—21no—
1586C2×C4—24no—
1587C2×C4—21no—
1588C2×C4—24no—
1589C2×C4—22no—
1590C2×C4—22no—
1591C2×C4—22no—
1592C2×C4—22no—
1593C2×C4—22no—
1594C2×C4—24no—
1595C2×C4—24no—
1596C2×C4—22no—
1597C2×C4—28no—
1598C2×C4—28no—
1599C2×C4—22no—
1600C2×C4—22no—
1601C2×C4—22no—
1602C2×C4—22no—
1603C2×C4—22no—
1604C2×C4—22no—
1605C2×C4—22no—
1606C2×C4—22no—
1607C2×C4—22no—
1608C2×C4—22no—
1609C2×C4—22no—
1610C2×C4—24no—
1611C2×C4—22no—
1612C2×C4—22no—
1613C2×C4—22no—
1614C2×C4—22no—
1615C2×C4—24no—
1616C2×C4—24no—
1617C2×C4—24no—
1618C2×C4—22no—
1619C2×C4—22no—
1620C2×C4—22no—
1621C2×C4—22no—
1622C2×C4—24no—
1623C2×C4—24no—
1624C2×C4—22no—
1625C2×C4—22no—
1626C2×C4—22no—
1627C2×C4—22no—
1628C2×C4—22no—
1629C2×C4—22no—
1630C2×C4—24no—
1631C2×C4—24no—
1632C2×C4—22no—
1633C2×C4—22no—
1634C2×C4—22no—
1635C2×C4—22no—
1636C2×C4—24no—
1637C2×C4—24no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—44no—
1641C2×C4—48no—
1642C2×C4—416no—
1643C2×C4—416no—
1644C2×C4—48no—
1645C2×C4—48no—
1646C2×C4—48no—
1647C2×C4—48no—
1648C2×C4—48no—
1649C2×C4—48no—
1650C2×C4—48no—
1651C2×C4—48no—
1652C2×C4—48no—
1653C2×C4—48no—
1654C2×C4—84no—
1655C2×C4—88no—
1656C2×C4—84no—
1657C2×C4—84no—
1658C2×C4—88no—
1659C2×C4—88no—
1660C2×C4—84no—
1661C2×C4—84no—
1662C2×C4C23×D412yes—
1663C2×C4C23×D412yes—
1664C2×C4C23×D418yes—
1665C2×C4C23×D418yes—
1666C2×C4C23×D412yes—
1667C2×C4C23×D412yes—
1668C2×C4C23×D412yes—
1669C2×C4C23×D412yes—
1670C2×C4C22×#4114yes—
1671C2×C4C22×#4112yes—
1672C2×C4#58512yes—
1673C22—24no—
1674C22—22no—
1675C22—24no—
1676C22—22no—
1677C22—28no—
1678C22—28no—
1679C22—24no—
1680C22—24no—
1681C22—42no—
1682C22—42no—
1683C22—42no—
1684C22—42no—
1685C22—44no—
1686C22—44no—
1687C22—42no—
1688C22—42no—
1689C22—44no—
1690C22—44no—
1691C22—42no—
1692C22—42no—
1693C22—42no—
1694C22—42no—
1695C22—42no—
1696C22—42no—
1697C22—42no—
1698C22—42no—
1699C22—42no—
1700C22—42no—
1701C22—42no—
1702C22—42no—
1703C22—42no—
1704C22—44no—
1705C22—44no—
1706C22—42no—
1707C22—42no—
1708C22—42no—
1709C22—42no—
1710C22—42no—
1711C22—816no—
1712C22—816no—
1713C22#348714yes—
1714C22C24×D411yescharacteristic
1715C22C23×#4111yescharacteristic
1716C22C2×#58512yes—
1717C22C2×#58511yescharacteristic
1718C22H(7,𝔽2)12yes—
1719C4—24no—
1720C4—22no—
1721C4—22no—
1722C4—22no—
1723C4—22no—
1724C4—28no—
1725C4—22no—
1726C4—28no—
1727C4—42no—
1728C4—44no—
1729C4—42no—
1730C4—42no—
1731C4—42no—
1732C4—42no—
1733C4—42no—
1734C4—42no—
1735C4—42no—
1736C4—42no—
1737C4—42no—
1738C4—42no—
1739C4—44no—
1740C4—42no—
1741C4—42no—
1742C4D4×#4114yes—
1743C2—24no—
1744C2—44no—
1745C2—44no—
1746C2—82no—
1747C2—82no—
1748C2—82no—
1749C2—82no—
1750C2C2×D4×#4111yescharacteristic
1751C2C2×#348711yescharacteristic
1752C2#6285211yescharacteristic
1753C2#6294112yes—
1754C2#6299012yes—
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×#3520C2semidirect
2. C2×#3475C2semidirect
3. #59807C2semidirect
4. #59650C2semidirect
5. #59317C2semidirect
6. #59133C2semidirect
7. #59124C2semidirect
8. #59045C2semidirect
9. #45387C2semidirect
10. #45357C2semidirect
11. #45271C2semidirect
12. #45269C2semidirect
13. #45269C2semidirect
14. #45266C2semidirect
15. #44938C2semidirect
16. #44933C2semidirect
17. #44635C2semidirect
18. #44250C2semidirect
19. #39858C2semidirect
20. #38378C2semidirect
21. #38366C2semidirect
22. #36222C2semidirect
23. #35572C2semidirect
24. #35525C2semidirect
25. #35232C2semidirect
26. #35195C2semidirect
27. #34963C2semidirect
28. #34876C2semidirect
29. #34295C2semidirect
30. #34221C2semidirect
31. C2×#2328C2semidirect
34. C2×#556C22semidirect
35. C2×#556C22semidirect
36. C2×#555C22semidirect
38. C2×#554C22semidirect
39. C2×#553C22semidirect
41. C2×#552C22semidirect
42. C2×#552C22semidirect
46. C2×D4×Q8C22semidirect
47. C2×#548C22semidirect
48. C2×#547C22semidirect
49. C2×#547C22semidirect
50. C2×#547C22semidirect
53. C2×#542C22semidirect
54. C2×#539C22semidirect
58. C2×#529C22semidirect
59. C2×#529C22semidirect
63. C2×#520C22semidirect
65. C2×C4×#41C22semidirect
69. #2852C22semidirect
70. #2850C22semidirect
72. #2732C22semidirect
73. #2730C22semidirect
74. #2730C22semidirect
75. #2728C22semidirect
76. #2723C22semidirect
77. #2723C22semidirect
78. #2723C22semidirect
79. #2719C22semidirect
80. #2714C22semidirect
81. #2714C22semidirect
82. #2714C22semidirect
83. #2711C22semidirect
84. #2696C22semidirect
85. #2696C22semidirect
86. #2696C22semidirect
87. #2696C22semidirect
88. #2694C22semidirect
89. #2692C22semidirect
90. #2676C22semidirect
93. #2673C22semidirect
94. #2673C22semidirect
95. #2673C22semidirect
96. #2636C22semidirect
97. #2633C22semidirect
98. #2631C22semidirect
99. #2631C22semidirect
100. #2611C22semidirect
101. #2610C22semidirect
102. #2610C22semidirect
103. #2609C22semidirect
104. #2604C22semidirect
105. #2603C22semidirect
106. #2603C22semidirect
107. #2603C22semidirect
108. #2601C22semidirect
109. #2598C22semidirect
110. #2598C22semidirect
111. #2598C22semidirect
112. #2580C22semidirect
113. #2580C22semidirect
114. #2580C22semidirect
115. #2580C22semidirect
118. #2560C22semidirect
119. #2558C22semidirect
120. #2554C22semidirect
121. #2554C22semidirect
122. #2550C22semidirect
124. #2544C22semidirect
128. #2540C22semidirect
131. #2536C22semidirect
132. #2535C22semidirect
133. #2535C22semidirect
134. #2535C22semidirect
135. #2535C22semidirect
136. #2535C22semidirect
137. #2519C22semidirect
139. #2491C22semidirect
140. #2490C22semidirect
141. #2490C22semidirect
142. #2489C22semidirect
147. #2481C22semidirect
148. #2481C22semidirect
149. #2481C22semidirect
150. #2479C22semidirect
151. #2479C22semidirect
152. #2477C22semidirect
153. #2477C22semidirect
155. #2471C22semidirect
156. #2471C22semidirect
157. #2471C22semidirect
158. #2471C22semidirect
159. #2467C22semidirect
160. #2463C22semidirect
161. #2461C22semidirect
162. #2456C22semidirect
163. #2456C22semidirect
164. #2454C22semidirect
165. #2452C22semidirect
166. #2449C22semidirect
167. #2448C22semidirect
168. #2448C22semidirect
170. #2445C22semidirect
171. #2443C22semidirect
172. #2443C22semidirect
173. #2443C22semidirect
174. #2443C22semidirect
175. #2442C22semidirect
176. #2439C22semidirect
179. #2436C22semidirect
183. #2431C22semidirect
187. #2426C22semidirect
188. #2426C22semidirect
191. #2421C22semidirect
192. #2421C22semidirect
193. #2416C22semidirect
194. #2414C22semidirect
199. #2409C22semidirect
202. #2407C22semidirect
203. #2407C22semidirect
204. #2407C22semidirect
206. #2399C22semidirect
207. #2398C22semidirect
208. #2398C22semidirect
209. #2398C22semidirect
210. #2397C22semidirect
211. #2397C22semidirect
212. #2371C22semidirect
215. #2366C22semidirect
216. #2363C22semidirect
217. #2363C22semidirect
218. #2361C22semidirect
219. #2361C22semidirect
222. #2356C22semidirect
223. #2352C22semidirect
224. #2352C22semidirect
225. #2351C22semidirect
228. #2341C22semidirect
229. #2341C22semidirect
231. #2331C22semidirect
232. #2331C22semidirect
243. #2328C22semidirect
244. #2327C22semidirect
245. #2327C22semidirect
246. #2324C22semidirect
247. #2324C22semidirect
248. #2324C22semidirect
249. #2320C22semidirect
254. C4×#121C22semidirect
255. C4×#121C22semidirect
256. C4×#121C22semidirect
260. #2290C22semidirect
261. #2290C22semidirect
262. #2290C22semidirect
267. #2276C22semidirect
300. #533D4semidirect
852. C4⋊Q8C2×D4semidirect
853. C4⋊Q8C2×D4semidirect
860. #127#41semidirect
871. #125C2×D4semidirect
934. C4×Q8C2×D4semidirect
935. C4×Q8C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35202
C2×#34752
#598072
#596502
#593172
#591332
#591242
#590452
#453872
#453572
#452712
#452692
#452662
#449382
#449332
#446352
#442502
#398582
#383782
#383662
#362222
#355722
#355252
#352322
#351952
#349632
#348762
#342952
#342212
C2×#23282