Finite Group Databasebeta

← #7698353

Subgroups — #7698353

Order 512.

11559 conjugacy classes of subgroups.

The subgroup lattice has 1830 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3500C211yesmaximal, characteristic, complemented
2C2×#3498C211yesmaximal, characteristic, complemented
3C2×#3488C211yesmaximal, characteristic, complemented
4C2×#3487C211yesmaximal, characteristic, complemented
5#59131C213yesmaximal, complemented
6#59124C213yesmaximal, complemented
7#59004C213yesmaximal, complemented
8#52096C213yesmaximal, complemented
9#45093C213yesmaximal, complemented
10#44932C213yesmaximal, complemented
11#44927C213yesmaximal, complemented
12#44886C213yesmaximal, complemented
13#44877C213yesmaximal, complemented
14#44870C213yesmaximal, complemented
15#39342C213yesmaximal, complemented
16#39335C213yesmaximal, complemented
17#37677C213yesmaximal, complemented
18#37674C213yesmaximal, complemented
19#37658C213yesmaximal, complemented
20#37650C213yesmaximal, complemented
21#36455C211yesmaximal, characteristic, complemented
22#36430C211yesmaximal, characteristic, complemented
23#36429C211yesmaximal, characteristic, complemented
24#36091C211yesmaximal, characteristic, complemented
25#36082C211yesmaximal, characteristic, complemented
26#36066C211yesmaximal, characteristic, complemented
27#36018C211yesmaximal, characteristic, complemented
28#35831C211yesmaximal, characteristic, complemented
29#35757C211yesmaximal, characteristic, complemented
30#34295C211yesmaximal, characteristic, complemented
31#34293C211yesmaximal, characteristic, complemented
32C22×2−1+4C2211yescharacteristic, complemented
33C22×H(5,𝔽2)C2211yescharacteristic
34C22×H(5,𝔽2)C2211yescharacteristic, complemented
35C23×#41C2211yescharacteristic, complemented
36#3500—216no—
37#3498—216no—
38#3488—216no—
39#3487—216no—
40C2×#550C2211yescharacteristic
41C2×#550C2211yescharacteristic
42C2×#550C2211yescharacteristic
43C2×#550C2213yescomplemented
44C2×#550C2211yescharacteristic, complemented
45C2×#550C2213yescomplemented
46C2×#550C2211yescharacteristic, complemented
47C2×#550C2211yescharacteristic, complemented
48C2×#550C2211yescharacteristic, complemented
49C2×#550C2211yescharacteristic, complemented
50C2×#548C2211yescharacteristic
51C2×#548C2213yescomplemented
52C2×#548C2213yescomplemented
53C2×#548C2211yescharacteristic, complemented
54C2×#548C2211yescharacteristic, complemented
55C2×#548C2211yescharacteristic, complemented
56C2×#548C2211yescharacteristic, complemented
57C2×#548C2211yescharacteristic, complemented
58C2×#548C2211yescharacteristic, complemented
59C2×#548C2211yescharacteristic, complemented
60C2×#546C2213yescomplemented
61C2×#546C2213yescomplemented
62C2×#546C2213yescomplemented
63C2×#546C2213yescomplemented
64C2×#546C2213yescomplemented
65C2×#546C2213yescomplemented
66C2×D42C2213yescomplemented
67C2×D42C2213yescomplemented
68C2×D42C2213yescomplemented
69C2×D42C2213yescomplemented
70C2×D42C2213yescomplemented
71C2×D42C2213yescomplemented
72C2×#537C2213yescomplemented
73C2×#536C2213yescomplemented
74C2×#535C2213yescomplemented
75C2×#535C2213yescomplemented
76C2×#535C2213yescomplemented
77C2×#535C2213yescomplemented
78C2×#535C2213yescomplemented
79C2×#535C2213yescomplemented
80C2×#532C2213yescomplemented
81C2×#532C2213yescomplemented
82C22×#127C2213yescomplemented
83C22×#124C2213yescomplemented
84C2×#525C2213yescomplemented
85C2×#525C2213yescomplemented
86C2×#525C2213yescomplemented
87C22×#121C2213yescomplemented
88C2×#520C2211yescharacteristic, complemented
89C2×#519C2211yescharacteristic, complemented
90C2×C4×#41C2211yescharacteristic, complemented
91C2×C4×#41C2211yescharacteristic, complemented
92#2856C2213yescomplemented
93#2850C2213yescomplemented
94#2847C2213yescomplemented
95#2679C2216yescomplemented
96#2678C2216yescomplemented
97#2678C2216yescomplemented
98#2677C2213yescomplemented
99#2676C2216yescomplemented
100#2676C2213yescomplemented
101#2676C2213yescomplemented
102#2675C2213yescomplemented
103#2674C2213yescomplemented
104#2674C2211yescharacteristic, complemented
105#2673C2213yescomplemented
106#2673C2216yescomplemented
107#2673C2216yescomplemented
108#2673C2213yescomplemented
109#2672C2213yescomplemented
110#2672C2213yescomplemented
111#2671C2216yescomplemented
112#2671C2213yescomplemented
113#2671C2213yescomplemented
114#2670C2216yescomplemented
115#2670C2216yescomplemented
116#2670C2213yescomplemented
117#2669C2216yescomplemented
118#2669C2216yescomplemented
119#2669C2213yescomplemented
120#2669C2213yescomplemented
121#2669C2216yescomplemented
122#2669C2216yescomplemented
123#2668C2213yescomplemented
124#2657C2213yescomplemented
125#2620C2213yescomplemented
126#2619C2213yescomplemented
127#2616C2213yescomplemented
128#2615C2213yescomplemented
129#2615C2213yescomplemented
130#2555C2216yescomplemented
131#2548C2213yescomplemented
132#2544C2213yescomplemented
133#2544C2213yescomplemented
134#2541C2213yescomplemented
135#2541C2213yescomplemented
136#2541C2213yescomplemented
137#2541C2216yescomplemented
138#2541C2213yescomplemented
139#2540C2213yescomplemented
140#2540C2213yescomplemented
141#2540C2213yescomplemented
142#2537C2213yescomplemented
143#2537C2213yescomplemented
144#2536C2213yescomplemented
145#2535C2213yescomplemented
146#2491C2216yescomplemented
147#2472C2216yescomplemented
148#2464C2216yescomplemented
149#2461C2216yescomplemented
150#2445C2216yescomplemented
151#2436C2213yescomplemented
152#2435C2213yescomplemented
153#2435C2213yescomplemented
154#2435C2213yescomplemented
155#2433C2216yescomplemented
156#2433C2213yescomplemented
157#2433C2213yescomplemented
158#2433C2213yescomplemented
159#2433C2216yescomplemented
160#2433C2213yescomplemented
161#2431C2213yescomplemented
162#2431C2213yescomplemented
163#2431C2213yescomplemented
164#2431C2213yescomplemented
165#2428C2213yescomplemented
166#2428C2213yescomplemented
167#2428C2213yescomplemented
168#2428C2213yescomplemented
169#2427C2213yescomplemented
170#2427C2213yescomplemented
171#2426C2213yescomplemented
172#2426C2213yescomplemented
173#2424C2216yescomplemented
174#2424C2216yescomplemented
175#2424C2216yescomplemented
176#2418C2216yescomplemented
177#2418C2216yescomplemented
178#2417C2213yescomplemented
179#2416C2213yescomplemented
180#2415C2213yescomplemented
181#2414C2213yescomplemented
182#2414C2213yescomplemented
183#2414C2213yescomplemented
184#2414C2213yescomplemented
185#2414C2213yescomplemented
186#2410C2216yescomplemented
187#2410C2216yescomplemented
188#2410C2216yescomplemented
189#2410C2216yescomplemented
190#2409C2213yescomplemented
191#2408C2213yescomplemented
192#2408C2213yescomplemented
193#2408C2213yescomplemented
194#2408C2213yescomplemented
195#2408C2213yescomplemented
196#2408C2216yescomplemented
197#2408C2213yescomplemented
198#2408C2213yescomplemented
199#2407C2213yescomplemented
200#2407C2213yescomplemented
201#2407C2213yescomplemented
202#2407C2213yescomplemented
203#2403C2216yescomplemented
204#2403C2216yescomplemented
205#2397C2213yescomplemented
206#2392C2213yescomplemented
207#2392C2213yescomplemented
208#2388C2213yescomplemented
209#2388C2213yescomplemented
210#2388C2213yescomplemented
211#2367C2213yescomplemented
212#2366C2213yescomplemented
213#2363C2213yescomplemented
214#2363C2213yescomplemented
215#2362C2213yescomplemented
216#2361C2213yescomplemented
217#2354C2213yescomplemented
218#2352C2213yescomplemented
219#2351C2211yescharacteristic, complemented
220Q8×C4⋊C4C2211yescharacteristic, complemented
221#2341C2211yescharacteristic, complemented
222#2341C2211yescharacteristic, complemented
223#2341C2211yescharacteristic, complemented
224#2341C2211yescharacteristic, complemented
225#2341C2211yescharacteristic, complemented
226#2341C2211yescharacteristic, complemented
227Q8×C22⋊C4C2211yescharacteristic, complemented
228Q8×C22⋊C4C2211yescharacteristic, complemented
229D4×C22⋊C4C2216yescomplemented
230#2328C2213yescomplemented
231#2326C2213yescomplemented
232#2324C2213yescomplemented
233#2324C2213yescomplemented
234C4×C22⋊Q8C2213yescomplemented
235C4×#121C2213yescomplemented
236C4×#121C2213yescomplemented
237C4×#121C2213yescomplemented
238C4×#120C2213yescomplemented
239#2290C2213yescomplemented
240#2290C2213yescomplemented
241#2276C2211yescharacteristic, complemented
242C2×2−1+4—28no—
243C2×2−1+4—28no—
244C2×2−1+4—44no—
245C2×H(5,𝔽2)—28no—
246C2×H(5,𝔽2)—28no—
247C2×H(5,𝔽2)—28no—
248C2×H(5,𝔽2)—28no—
249C2×H(5,𝔽2)—44no—
250C2×H(5,𝔽2)—44no—
251C22×#41—28no—
252C22×#41—28no—
253C22×#41—44no—
254C22×#41C2311yescharacteristic
255C22×#41C2311yescharacteristic
256C22×#41C2311yescharacteristic
257C22×#41C2313yes—
258C22×#41C2313yes—
259C22×#41C2313yes—
260C22×#41C2313yes—
261C22×#41C2313yes—
262C22×#41C2313yes—
263C22×#41C2313yes—
264C22×#41C2311yescharacteristic
265C22×#41C2311yescharacteristic
266C22×#41C2311yescharacteristic
267C23×Q8C2311yescharacteristic
268C23×Q8C2313yes—
269C23×Q8C2311yescharacteristic
270C23×D4C2313yes—
271C23×D4C2313yes—
272C23×D4C2313yes—
273C23×D4C2313yes—
274C23×D4C2313yes—
275C23×D4C2313yes—
276C23×D4C2313yes—
277C23×D4C2316yes—
278C23×D4C2316yes—
279C23×D4C2316yes—
280C24×C4C2313yes—
281#550—28no—
282#550—28no—
283#550—28no—
284#550—28no—
285#550—224no—
286#550—224no—
287#550—28no—
288#550—28no—
289#550—44no—
290#550D4116yescomplemented
291#548—28no—
292#548—28no—
293#548—28no—
294#548—28no—
295#548—224no—
296#548—28no—
297#548—28no—
298#548—224no—
299#548—44no—
300#548D4116yescomplemented
301#546—224no—
302#546—224no—
303#546—224no—
304#546—224no—
305#546—224no—
306#546—224no—
307D42—224no—
308D42—224no—
309D42—224no—
310D42—224no—
311D42—224no—
312D42—224no—
313#537—224no—
314#536—224no—
315#535—224no—
316#535—224no—
317#535—224no—
318#535—224no—
319#535—224no—
320#535—224no—
321#532—224no—
322#532—224no—
323C2×C4⋊Q8C2311yescharacteristic
324C2×C4⋊Q8C2313yes—
325C2×#127—224no—
326C2×#127C2313yes—
327C2×#127C2313yes—
328C2×#127C2316yes—
329C2×#127C2313yes—
330C2×#127C2316yes—
331C2×#127C2313yes—
332C2×#127C2313yes—
333C2×#127C2313yes—
334C2×#127C2313yes—
335C2×#127C2313yes—
336C2×#127C2313yes—
337C2×#127C2316yes—
338C2×#127C2313yes—
339C2×#124—224no—
340C2×#124C2313yes—
341C2×#124C2313yes—
342C2×#124C2313yes—
343C2×#124C2316yes—
344C2×#124C2313yes—
345C2×#124C2313yes—
346C2×#124C2311yescharacteristic
347C2×#124C2316yes—
348C2×#124C2313yes—
349C2×#124C2313yes—
350C2×#124C2313yes—
351C2×#124C2313yes—
352C2×#124C2313yes—
353C2×#124C2313yes—
354#525—224no—
355#525—224no—
356#525—224no—
357C2×#123C2313yes—
358C2×#123C2311yescharacteristic
359C2×#123C2313yes—
360C2×#123C2313yes—
361C2×#123C2316yes—
362C2×#123C2316yes—
363C2×C22⋊Q8C2313yes—
364C2×C22⋊Q8C2313yes—
365C2×C22⋊Q8C2313yes—
366C2×C22⋊Q8C2313yes—
367C2×C22⋊Q8C2311yescharacteristic
368C2×C22⋊Q8C2313yes—
369C2×C22⋊Q8C2313yes—
370C2×C22⋊Q8C2313yes—
371C2×C22⋊Q8C2313yes—
372C2×C22⋊Q8C2313yes—
373C2×C22⋊Q8C2313yes—
374C2×C22⋊Q8C2313yes—
375C2×#121—224no—
376C2×#121C2313yes—
377C2×#121C2313yes—
378C2×#121C2313yes—
379C2×#121C2313yes—
380C2×#121C2313yes—
381C2×#121C2313yes—
382C2×#121C2313yes—
383C2×#121C2313yes—
384C2×#121C2313yes—
385C2×#121C2313yes—
386C2×#121C2313yes—
387C2×#121C2313yes—
388C2×#121C2313yes—
389C2×#121C2313yes—
390C2×#121C2316yes—
391C2×#121C2313yes—
392C2×#121C2313yes—
393C2×#121C2316yes—
394C2×#121C2316yes—
395C2×#121C2313yes—
396C2×#121C2313yes—
397C2×#121C2313yes—
398C2×#121C2313yes—
399C2×#121C2313yes—
400C2×#121C2316yes—
401C2×#121C2313yes—
402C2×#121C2313yes—
403C2×#121C2313yes—
404C2×#121C2313yes—
405C2×#121C2313yes—
406C2×#121C2313yes—
407C2×#121C2313yes—
408C2×#121C2316yes—
409C2×#121C2313yes—
410C2×#121C2313yes—
411C2×#121C2313yes—
412C2×#121C2313yes—
413C2×#121C2313yes—
414C2×#121C2313yes—
415C2×#121C2313yes—
416C2×#121C2316yes—
417C2×#121C2316yes—
418C2×#121C2316yes—
419C2×#121C2313yes—
420C2×#121C2313yes—
421C2×#121C2313yes—
422C2×#120C2313yes—
423C2×#120C2316yes—
424C2×#120C2316yes—
425C2×#120C2316yes—
426C2×#120C2316yes—
427C2×#120C2316yes—
428C2×#120C2316yes—
429C2×#120C2313yes—
430C2×#120C2313yes—
431C2×#120C2313yes—
432C2×#120C2316yes—
433C2×#120C2316yes—
434C2×#120C2316yes—
435C2×#120C2313yes—
436C2×#120C2316yes—
437C2×#120C2316yes—
438C2×#120C2316yes—
439C2×#120C2316yes—
440C2×#120C2316yes—
441#520—28no—
442#519—28no—
443C4×#41—28no—
444C4×#41—28no—
445C2×C4×Q8C2313yes—
446C2×C4×Q8C2311yescharacteristic
447C2×C4×Q8C2311yescharacteristic
448C2×C4×Q8C2311yescharacteristic
449C2×C4×Q8C2311yescharacteristic
450C2×C4×Q8C2311yescharacteristic
451C2×C4×Q8C2313yes—
452C2×C4×Q8C2311yescharacteristic
453C2×C4×Q8C2311yescharacteristic
454C2×C4×D4C2313yes—
455C2×C4×D4C2313yes—
456C2×C4×D4C2313yes—
457C2×C4×D4C2316yes—
458C2×C4×D4C2313yes—
459C2×C4×D4C2313yes—
460C2×C4×D4C2313yes—
461C2×C4×D4C2313yes—
462C2×C4×D4C2313yes—
463C2×C4×D4C2313yes—
464C2×C4×D4C2313yes—
465C2×C4×D4C2313yes—
466C2×C4×D4C2313yes—
467C2×C4×D4C2313yes—
468C2×C4×D4C2313yes—
469C2×C4×D4C2313yes—
470C2×C4×D4C2313yes—
471C2×C4×D4C2313yes—
472C2×C4×D4C2313yes—
473C2×C4×D4C2316yes—
474C2×C4×D4C2313yes—
475C2×C4×D4C2313yes—
476C2×C4×D4C2316yes—
477C2×C4×D4C2313yes—
478C2×C4×D4C2313yes—
479C2×#117C2313yes—
480C2×#117C2313yes—
481C2×#117C2313yes—
482C2×#117C2313yes—
483C2×#117C2313yes—
484C22×C4⋊C4C2313yes—
485C22×C22⋊C4C2316yes—
486C22×C22⋊C4C2316yes—
487C22×C22⋊C4C2316yes—
488C22×C42C2313yes—
489C22×C42C2313yes—
490#399C2311yescharacteristic
491#399C2313yes—
492#399C2313yes—
493#399C2313yes—
494#398C2313yes—
495#398C2313yes—
496#397C2311yescharacteristic
497#397C2313yes—
498#397C2316yes—
499#396C2313yes—
500#396C2316yes—
501#396C2311yescharacteristic
502#396C2313yes—
503#396C2313yes—
504#395C2313yes—
505#395C2311yescharacteristic
506#395C2313yes—
507#394C2316yes—
508#394C2316yes—
509#394C2316yes—
510#394C2316yes—
511#394C2316yes—
512#394C2316yes—
513#394C2316yes—
514#394C2311yescharacteristic
515#394C2313yes—
516#394C2313yes—
517#394C2313yes—
518#394C2313yes—
519#394C2313yes—
520#394C2313yes—
521#394C2313yes—
522#394C2313yes—
523#394C2313yes—
524#394C2313yes—
525#394C2313yes—
526#394C2313yes—
527#394C2313yes—
528#394C2313yes—
529#394C2316yes—
530#394C2316yes—
531#394C2316yes—
532#394C2316yes—
533#394C2316yes—
534#393C2313yes—
535#393C2316yes—
536#393C2311yescharacteristic
537#393C2313yes—
538#392C2313yes—
539#392C2316yes—
540#392C2316yes—
541#392C2316yes—
542#392C2316yes—
543#392C2316yes—
544#392C2313yes—
545#392C2316yes—
546#392C2313yes—
547#392C2313yes—
548#392C2313yes—
549#392C2313yes—
550#392C2313yes—
551#392C2313yes—
552#392C2313yes—
553#392C2313yes—
554#392C2313yes—
555#392C2313yes—
556#392C2313yes—
557#392C2313yes—
558#392C2313yes—
559#392C2316yes—
560#392C2316yes—
561#392C2316yes—
562#392C2316yes—
563#392C2316yes—
564#392C2316yes—
565#392C2316yes—
566#392C2316yes—
567#392C2316yes—
568#391C2313yes—
569#391C2313yes—
570#391C2313yes—
571#391C2313yes—
572#390C2313yes—
573#390C2313yes—
574#390C2316yes—
575#390C2316yes—
576#390C2313yes—
577#390C2313yes—
578#390C2313yes—
579#390C2316yes—
580#390C2316yes—
581#390C2313yes—
582#390C2313yes—
583#390C2313yes—
584#390C2313yes—
585#390C2313yes—
586#390C2313yes—
587#390C2313yes—
588#390C2313yes—
589#390C2316yes—
590#390C2316yes—
591#390C2313yes—
592#390C2316yes—
593#390C2316yes—
594#389C2313yes—
595#389C2313yes—
596#389C2313yes—
597#389C2313yes—
598#389C2313yes—
599#389C2311yescharacteristic
600#388C2316yes—
601#388C2316yes—
602#388C2316yes—
603#388C2316yes—
604#388C2313yes—
605#388C2316yes—
606#388C2313yes—
607#388C2313yes—
608#388C2311yescharacteristic
609#388C2313yes—
610#388C2316yes—
611#388C2316yes—
612#388C2313yes—
613#388C2313yes—
614#388C2311yescharacteristic
615#387C2313yes—
616#387C2313yes—
617#387C2313yes—
618#387C2311yescharacteristic
619#386C2313yes—
620#386C2316yes—
621#386C2313yes—
622#386C2316yes—
623#386C2316yes—
624#386C2313yes—
625#386C2316yes—
626#386C2316yes—
627#386C2313yes—
628#386C2313yes—
629#386C2316yes—
630#386C2316yes—
631#386C2316yes—
632#386C2316yes—
633#386C2313yes—
634#386C2313yes—
635#386C2316yes—
636#386C2316yes—
637#386C2316yes—
638#386C2313yes—
639#386C2313yes—
640#386C2313yes—
641#386C2313yes—
642#385C2313yes—
643#385C2316yes—
644#385C2313yes—
645#385C2313yes—
646#385C2313yes—
647#385C2316yes—
648#385C2313yes—
649#385C2313yes—
650#385C2311yescharacteristic
651#384C2313yes—
652#382C2313yes—
653#380C2313yes—
654#380C2313yes—
655#380C2313yes—
656#380C2313yes—
657#380C2313yes—
658#380C2313yes—
659#380C2313yes—
660#380C2313yes—
661#380C2313yes—
662#380C2316yes—
663#380C2313yes—
664#379C2316yes—
665#379C2316yes—
666#379C2316yes—
667#379C2316yes—
668#379C2313yes—
669C4×C4⋊C4C2313yes—
670C4×C4⋊C4C2313yes—
671C4×C4⋊C4C2313yes—
672C4×C4⋊C4C2313yes—
673C4×C4⋊C4C2316yes—
674C4×C4⋊C4C2313yes—
675C4×C22⋊C4C2316yes—
676C4×C22⋊C4C2313yes—
677C4×C22⋊C4C2313yes—
678C4×C22⋊C4C2313yes—
679C4×C22⋊C4C2313yes—
680C4×C22⋊C4C2313yes—
681C4×C22⋊C4C2313yes—
682C4×C22⋊C4C2313yes—
683C4×C22⋊C4C2313yes—
684C4×C22⋊C4C2316yes—
685#376C2313yes—
686C25C2416yes—
687C25C2416yes—
688C25C2413yes—
6892−1+4—464no—
690H(5,𝔽2)—464no—
691H(5,𝔽2)—464no—
692C2×#41—24no—
693C2×#41—24no—
694C2×#41—24no—
695C2×#41—212no—
696C2×#41—212no—
697C2×#41—212no—
698C2×#41—24no—
699C2×#41—24no—
700C2×#41—24no—
701C2×#41—24no—
702C2×#41—24no—
703C2×#41—24no—
704C2×#41—24no—
705C2×#41—24no—
706C2×#41—24no—
707C2×#41—24no—
708C2×#41—24no—
709C2×#41—24no—
710C2×#41—212no—
711C2×#41—212no—
712C2×#41—212no—
713C2×#41—212no—
714C2×#41—212no—
715C2×#41—212no—
716C2×#41—212no—
717C2×#41—212no—
718C2×#41—212no—
719C2×#41—212no—
720C2×#41—212no—
721C2×#41—46no—
722C2×#41—46no—
723C2×#41—46no—
724C2×#41—46no—
725C2×#41—46no—
726C2×#41—46no—
727C2×#41—46no—
728C2×#41—464no—
729C2×#41C2×D418yes—
730C2×#41C2×D418yes—
731C2×#41C2×D418yescomplemented
732C22×Q8—24no—
733C22×Q8—24no—
734C22×Q8—212no—
735C22×Q8—24no—
736C22×Q8—24no—
737C22×Q8—24no—
738C22×Q8—212no—
739C22×Q8—46no—
740C22×Q8C2×D418yescomplemented
741C22×Q8C2413yes—
742C22×Q8C2411yescharacteristic
743C22×Q8C2413yes—
744C22×Q8C2411yescharacteristic
745C22×Q8C2413yes—
746C22×Q8C2411yescharacteristic
747C22×D4—212no—
748C22×D4—212no—
749C22×D4—212no—
750C22×D4—212no—
751C22×D4—212no—
752C22×D4—212no—
753C22×D4—212no—
754C22×D4—212no—
755C22×D4—212no—
756C22×D4—224no—
757C22×D4—224no—
758C22×D4—224no—
759C22×D4—212no—
760C22×D4—212no—
761C22×D4—212no—
762C22×D4—212no—
763C22×D4—212no—
764C22×D4—46no—
765C22×D4—46no—
766C22×D4—46no—
767C22×D4—46no—
768C22×D4—46no—
769C22×D4—46no—
770C22×D4—46no—
771C22×D4—412no—
772C22×D4—86no—
773C22×D4—86no—
774C22×D4—86no—
775C22×D4—86no—
776C22×D4—86no—
777C22×D4C2413yes—
778C22×D4C2413yes—
779C22×D4C2413yes—
780C22×D4C2413yes—
781C22×D4C2413yes—
782C22×D4C2413yes—
783C22×D4C2413yes—
784C22×D4C2411yescharacteristic
785C22×D4C2413yes—
786C22×D4C2413yes—
787C22×D4C2416yes—
788C22×D4C2413yes—
789C22×D4C2413yes—
790C22×D4C2413yes—
791C22×D4C2413yes—
792C22×D4C2413yes—
793C22×D4C2413yes—
794C22×D4C2413yes—
795C22×D4C2413yes—
796C22×D4C2413yes—
797C22×D4C2413yes—
798C22×D4C2413yes—
799C22×D4C2416yes—
800C22×D4C2413yes—
801C22×D4C2413yes—
802C22×D4C2413yes—
803C22×D4C2413yes—
804C22×D4C2413yes—
805C22×D4C2413yes—
806C22×D4C2416yes—
807C22×D4C2416yes—
808C22×D4C2416yes—
809C22×D4C2416yes—
810C22×D4C2416yes—
811C22×D4C2413yes—
812C22×D4C2413yes—
813C22×D4C2416yes—
814C22×D4C2416yes—
815C22×D4C2413yes—
816C22×D4C2413yes—
817C23×C4—212no—
818C23×C4—212no—
819C23×C4—46no—
820C23×C4C2413yes—
821C23×C4C2413yes—
822C23×C4C2413yes—
823C23×C4C2413yes—
824C23×C4C2416yes—
825C23×C4C2413yes—
826C23×C4C2413yes—
827C23×C4C2413yes—
828C23×C4C2411yescharacteristic
829C23×C4C2413yes—
830C23×C4C2413yes—
831C23×C4C2413yes—
832C23×C4C2413yes—
833C23×C4C2413yes—
834C23×C4C2413yes—
835C23×C4C2416yes—
836C23×C4C2413yes—
837C4⋊Q8—24no—
838C4⋊Q8—212no—
839#127—212no—
840#127—224no—
841#127—212no—
842#127—212no—
843#127—212no—
844#127—212no—
845#127—224no—
846#127—212no—
847#127—212no—
848#127—212no—
849#127—46no—
850#127—86no—
851#127C2×D4124yescomplemented
852#124—212no—
853#124—212no—
854#124—212no—
855#124—212no—
856#124—212no—
857#124—224no—
858#124—24no—
859#124—212no—
860#124—212no—
861#124—224no—
862#124—212no—
863#124—212no—
864#124—46no—
865#124C2×D4124yescomplemented
866#123—24no—
867#123—212no—
868#123—224no—
869#123—212no—
870#123—212no—
871#123—224no—
872C22⋊Q8—212no—
873C22⋊Q8—212no—
874C22⋊Q8—212no—
875C22⋊Q8—212no—
876C22⋊Q8—212no—
877C22⋊Q8—212no—
878C22⋊Q8—212no—
879C22⋊Q8—212no—
880C22⋊Q8—24no—
881C22⋊Q8—212no—
882C22⋊Q8—46no—
883C22⋊Q8C2×D4124yescomplemented
884#121—212no—
885#121—212no—
886#121—212no—
887#121—212no—
888#121—212no—
889#121—212no—
890#121—212no—
891#121—212no—
892#121—212no—
893#121—212no—
894#121—224no—
895#121—224no—
896#121—212no—
897#121—212no—
898#121—212no—
899#121—212no—
900#121—212no—
901#121—212no—
902#121—212no—
903#121—212no—
904#121—212no—
905#121—212no—
906#121—212no—
907#121—212no—
908#121—212no—
909#121—224no—
910#121—212no—
911#121—224no—
912#121—212no—
913#121—212no—
914#121—212no—
915#121—212no—
916#121—212no—
917#121—212no—
918#121—224no—
919#121—46no—
920#121—46no—
921#121—46no—
922#121—46no—
923#121—46no—
924#121—86no—
925#121—86no—
926#121—86no—
927#121C2×D4124yescomplemented
928#121C2×D4124yescomplemented
929#121C2×D4124yescomplemented
930#120—224no—
931#120—212no—
932#120—212no—
933#120—224no—
934#120—224no—
935#120—224no—
936#120—212no—
937#120—212no—
938#120—224no—
939#120—224no—
940#120—224no—
941#120—224no—
942#120—224no—
943#120—46no—
944#120—86no—
945#120—86no—
946#120—86no—
947#120—86no—
948#120—86no—
949C4×Q8—24no—
950C4×Q8—24no—
951C4×Q8—24no—
952C4×Q8—24no—
953C4×Q8—24no—
954C4×Q8—212no—
955C4×Q8—212no—
956C4×Q8C2×D418yescomplemented
957C4×Q8C2×D418yescomplemented
958C4×D4—224no—
959C4×D4—212no—
960C4×D4—212no—
961C4×D4—212no—
962C4×D4—212no—
963C4×D4—212no—
964C4×D4—212no—
965C4×D4—212no—
966C4×D4—212no—
967C4×D4—212no—
968C4×D4—212no—
969C4×D4—212no—
970C4×D4—224no—
971C4×D4—212no—
972C4×D4—212no—
973C4×D4—212no—
974C4×D4—212no—
975C4×D4—212no—
976C4×D4—212no—
977C4×D4—212no—
978C4×D4—46no—
979C4×D4—46no—
980C4×D4—86no—
981C4×D4C2×D4124yescomplemented
982C4×D4C2×D4124yescomplemented
983#117—212no—
984#117—212no—
985#117—212no—
986#117—212no—
987#117—212no—
988C2×C4⋊C4—212no—
989C2×C4⋊C4C2413yes—
990C2×C4⋊C4C2413yes—
991C2×C4⋊C4C2411yescharacteristic
992C2×C4⋊C4C2413yes—
993C2×C4⋊C4C2413yes—
994C2×C4⋊C4C2413yes—
995C2×C4⋊C4C2413yes—
996C2×C4⋊C4C2413yes—
997C2×C4⋊C4C2411yescharacteristic
998C2×C4⋊C4C2411yescharacteristic
999C2×C4⋊C4C2411yescharacteristic
1000C2×C4⋊C4C2413yes—
1001C2×C4⋊C4C2411yescharacteristic
1002C2×C4⋊C4C2413yes—
1003C2×C4⋊C4C2411yescharacteristic
1004C2×C4⋊C4C2411yescharacteristic
1005C2×C4⋊C4C2413yes—
1006C2×C4⋊C4C2413yes—
1007C2×C4⋊C4C2413yes—
1008C2×C4⋊C4C2413yes—
1009C2×C4⋊C4C2413yes—
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2413yes—
1013C2×C4⋊C4C2413yes—
1014C2×C4⋊C4C2413yes—
1015C2×C4⋊C4C2416yes—
1016C2×C4⋊C4C2413yes—
1017C2×C4⋊C4C2413yes—
1018C2×C4⋊C4C2413yes—
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2413yes—
1021C2×C22⋊C4—224no—
1022C2×C22⋊C4—224no—
1023C2×C22⋊C4—224no—
1024C2×C22⋊C4C2413yes—
1025C2×C22⋊C4C2413yes—
1026C2×C22⋊C4C2413yes—
1027C2×C22⋊C4C2413yes—
1028C2×C22⋊C4C2413yes—
1029C2×C22⋊C4C2416yes—
1030C2×C22⋊C4C2416yes—
1031C2×C22⋊C4C2416yes—
1032C2×C22⋊C4C2416yes—
1033C2×C22⋊C4C2411yescharacteristic
1034C2×C22⋊C4C2413yes—
1035C2×C22⋊C4C2416yes—
1036C2×C22⋊C4C2413yes—
1037C2×C22⋊C4C2413yes—
1038C2×C22⋊C4C2416yes—
1039C2×C22⋊C4C2411yescharacteristic
1040C2×C22⋊C4C2413yes—
1041C2×C22⋊C4C2411yescharacteristic
1042C2×C22⋊C4C2411yescharacteristic
1043C2×C22⋊C4C2411yescharacteristic
1044C2×C22⋊C4C2411yescharacteristic
1045C2×C22⋊C4C2411yescharacteristic
1046C2×C22⋊C4C2413yes—
1047C2×C22⋊C4C2413yes—
1048C2×C22⋊C4C2413yes—
1049C2×C22⋊C4C2413yes—
1050C2×C22⋊C4C2413yes—
1051C2×C22⋊C4C2413yes—
1052C2×C22⋊C4C2413yes—
1053C2×C22⋊C4C2413yes—
1054C2×C22⋊C4C2413yes—
1055C2×C22⋊C4C2416yes—
1056C2×C22⋊C4C2413yes—
1057C2×C22⋊C4C2413yes—
1058C2×C22⋊C4C2416yes—
1059C2×C22⋊C4C2413yes—
1060C2×C22⋊C4C2411yescharacteristic
1061C2×C22⋊C4C2413yes—
1062C2×C22⋊C4C2411yescharacteristic
1063C2×C22⋊C4C2411yescharacteristic
1064C2×C22⋊C4C2413yes—
1065C2×C22⋊C4C2416yes—
1066C2×C22⋊C4C2413yes—
1067C2×C22⋊C4C2413yes—
1068C2×C22⋊C4C2413yes—
1069C2×C22⋊C4C2416yes—
1070C2×C22⋊C4C2413yes—
1071C2×C22⋊C4C2413yes—
1072C2×C22⋊C4C2413yes—
1073C2×C22⋊C4C2416yes—
1074C2×C22⋊C4C2413yes—
1075C2×C22⋊C4C2413yes—
1076C2×C22⋊C4C2413yes—
1077C2×C22⋊C4C2413yes—
1078C2×C22⋊C4C2416yes—
1079C2×C22⋊C4C2416yes—
1080C2×C22⋊C4C2416yes—
1081C2×C22⋊C4C2413yes—
1082C2×C22⋊C4C2413yes—
1083C2×C22⋊C4C2413yes—
1084C2×C22⋊C4C2413yes—
1085C2×C22⋊C4C2416yes—
1086C2×C22⋊C4C2413yes—
1087C2×C22⋊C4C2413yes—
1088C2×C22⋊C4C2416yes—
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2413yes—
1091C2×C22⋊C4C2413yes—
1092C2×C42—212no—
1093C2×C42—212no—
1094C2×C42C2413yes—
1095C2×C42C2413yes—
1096C2×C42C2413yes—
1097C2×C42C2413yes—
1098C2×C42C2416yes—
1099C2×C42C2413yes—
1100C2×C42C2413yes—
1101C2×C42C2413yes—
1102C2×C42C2411yescharacteristic
1103C2×C42C2411yescharacteristic
1104C2×C42C2416yes—
1105C2×C42C2413yes—
1106C2×C42C2413yes—
1107#95C2411yescharacteristic
1108#95C2413yes—
1109#95C2413yes—
1110#95C2413yes—
1111#95C2411yescharacteristic
1112#95C2413yes—
1113#95C2411yescharacteristic
1114#95C2413yes—
1115#95C2411yescharacteristic
1116#95C2411yescharacteristic
1117#95C2411yescharacteristic
1118#95C2411yescharacteristic
1119#95C2413yes—
1120#95C2413yes—
1121#95C2413yes—
1122#95C2413yes—
1123#95C2413yes—
1124#95C2413yes—
1125#95C2413yes—
1126#95C2416yes—
1127#95C2413yes—
1128#95C2413yes—
1129#95C2411yescharacteristic
1130#95C2416yes—
1131#95C2413yes—
1132#95C2413yes—
1133#95C2416yes—
1134C24—26no—
1135C24—212no—
1136C24—212no—
1137C24—26no—
1138C24—212no—
1139C24—212no—
1140C24—43no—
1141C24—43no—
1142C24—43no—
1143C24—46no—
1144C24—46no—
1145C24—43no—
1146C24—43no—
1147C24—46no—
1148C24—46no—
1149C24—46no—
1150C24—46no—
1151C24—46no—
1152C24—46no—
1153C24—46no—
1154C24—46no—
1155C24C2513yes—
1156C24C2513yes—
1157C24C2513yes—
1158C24C2511yescharacteristic
1159C24C2513yes—
1160C24C2511yescharacteristic
1161C24C2513yes—
1162C24C2513yes—
1163#41—232no—
1164#41—232no—
1165#41—232no—
1166#41—448no—
1167#41—448no—
1168#41—448no—
1169#41—448no—
1170#41—448no—
1171#41—448no—
1172#41—448no—
1173#41—416no—
1174#41—416no—
1175#41—416no—
1176C2×Q8—232no—
1177C2×Q8—26no—
1178C2×Q8—22no—
1179C2×Q8—26no—
1180C2×Q8—26no—
1181C2×Q8—26no—
1182C2×Q8—26no—
1183C2×Q8—22no—
1184C2×Q8—22no—
1185C2×Q8—22no—
1186C2×Q8—26no—
1187C2×Q8—26no—
1188C2×Q8—43no—
1189C2×Q8—41no—
1190C2×Q8—41no—
1191C2×Q8—448no—
1192C2×Q8—416no—
1193C2×Q8C22×D4112yes—
1194C2×Q8C22×D414yes—
1195C2×Q8C22×D414yes—
1196C2×Q8H(5,𝔽2)14yes—
1197C2×D4—26no—
1198C2×D4—26no—
1199C2×D4—26no—
1200C2×D4—26no—
1201C2×D4—26no—
1202C2×D4—26no—
1203C2×D4—26no—
1204C2×D4—26no—
1205C2×D4—26no—
1206C2×D4—26no—
1207C2×D4—212no—
1208C2×D4—26no—
1209C2×D4—26no—
1210C2×D4—26no—
1211C2×D4—26no—
1212C2×D4—22no—
1213C2×D4—26no—
1214C2×D4—26no—
1215C2×D4—26no—
1216C2×D4—26no—
1217C2×D4—212no—
1218C2×D4—26no—
1219C2×D4—212no—
1220C2×D4—212no—
1221C2×D4—212no—
1222C2×D4—26no—
1223C2×D4—26no—
1224C2×D4—26no—
1225C2×D4—26no—
1226C2×D4—22no—
1227C2×D4—26no—
1228C2×D4—26no—
1229C2×D4—212no—
1230C2×D4—26no—
1231C2×D4—26no—
1232C2×D4—26no—
1233C2×D4—26no—
1234C2×D4—26no—
1235C2×D4—26no—
1236C2×D4—26no—
1237C2×D4—26no—
1238C2×D4—26no—
1239C2×D4—26no—
1240C2×D4—26no—
1241C2×D4—26no—
1242C2×D4—212no—
1243C2×D4—212no—
1244C2×D4—26no—
1245C2×D4—26no—
1246C2×D4—26no—
1247C2×D4—26no—
1248C2×D4—26no—
1249C2×D4—26no—
1250C2×D4—26no—
1251C2×D4—26no—
1252C2×D4—448no—
1253C2×D4—448no—
1254C2×D4—448no—
1255C2×D4—448no—
1256C2×D4—448no—
1257C2×D4—46no—
1258C2×D4—43no—
1259C2×D4—43no—
1260C2×D4—43no—
1261C2×D4—43no—
1262C2×D4—43no—
1263C2×D4—43no—
1264C2×D4—46no—
1265C2×D4—46no—
1266C2×D4—43no—
1267C2×D4—43no—
1268C2×D4—43no—
1269C2×D4—43no—
1270C2×D4—43no—
1271C2×D4—43no—
1272C2×D4—43no—
1273C2×D4—43no—
1274C2×D4—43no—
1275C2×D4—43no—
1276C2×D4—41no—
1277C2×D4—43no—
1278C2×D4—43no—
1279C2×D4—43no—
1280C2×D4—43no—
1281C2×D4—43no—
1282C2×D4—43no—
1283C2×D4—43no—
1284C2×D4—43no—
1285C2×D4—43no—
1286C2×D4—43no—
1287C2×D4—43no—
1288C2×D4—43no—
1289C2×D4—43no—
1290C2×D4—46no—
1291C2×D4—46no—
1292C2×D4—46no—
1293C2×D4—46no—
1294C2×D4—46no—
1295C2×D4—43no—
1296C2×D4—43no—
1297C2×D4—43no—
1298C2×D4—43no—
1299C2×D4—43no—
1300C2×D4—43no—
1301C2×D4—43no—
1302C2×D4—43no—
1303C2×D4—46no—
1304C2×D4—46no—
1305C2×D4—46no—
1306C2×D4—46no—
1307C2×D4—43no—
1308C2×D4—43no—
1309C2×D4—43no—
1310C2×D4—46no—
1311C2×D4—46no—
1312C2×D4—46no—
1313C2×D4—46no—
1314C2×D4—46no—
1315C2×D4—46no—
1316C2×D4—448no—
1317C2×D4—448no—
1318C2×D4—848no—
1319C2×D4—848no—
1320C2×D4—848no—
1321C2×D4C22×D4112yes—
1322C2×D4C22×D4112yes—
1323C2×D4C22×D4112yes—
1324C2×D4C22×D4124yes—
1325C2×D4C22×D4112yes—
1326C2×D4C22×D4112yes—
1327C22×C4—26no—
1328C22×C4—26no—
1329C22×C4—26no—
1330C22×C4—26no—
1331C22×C4—26no—
1332C22×C4—26no—
1333C22×C4—26no—
1334C22×C4—26no—
1335C22×C4—212no—
1336C22×C4—26no—
1337C22×C4—22no—
1338C22×C4—26no—
1339C22×C4—26no—
1340C22×C4—26no—
1341C22×C4—212no—
1342C22×C4—26no—
1343C22×C4—26no—
1344C22×C4—26no—
1345C22×C4—26no—
1346C22×C4—26no—
1347C22×C4—26no—
1348C22×C4—26no—
1349C22×C4—26no—
1350C22×C4—26no—
1351C22×C4—26no—
1352C22×C4—22no—
1353C22×C4—26no—
1354C22×C4—26no—
1355C22×C4—26no—
1356C22×C4—26no—
1357C22×C4—26no—
1358C22×C4—26no—
1359C22×C4—26no—
1360C22×C4—212no—
1361C22×C4—41no—
1362C22×C4—43no—
1363C22×C4—43no—
1364C22×C4—43no—
1365C22×C4—43no—
1366C22×C4—43no—
1367C22×C4—46no—
1368C22×C4—448no—
1369C22×C4—43no—
1370C22×C4—46no—
1371C22×C4—43no—
1372C22×C4—43no—
1373C22×C4—43no—
1374C22×C4—46no—
1375C22×C4C22×D4112yes—
1376C22×C4C22×D4112yes—
1377C22×C4C22×D4112yes—
1378C22×C4C22×D4112yes—
1379C22×C4C2511yescharacteristic
1380C22×C4C2513yes—
1381C22×C4C2513yes—
1382C22×C4C2513yes—
1383C22×C4C2511yescharacteristic
1384C22×C4C2511yescharacteristic
1385C22×C4C2513yes—
1386C22×C4C2511yescharacteristic
1387C22×C4C2513yes—
1388C22×C4C2513yes—
1389C22×C4C2511yescharacteristic
1390C22×C4C2511yescharacteristic
1391C22×C4C2511yescharacteristic
1392C22×C4C2511yescharacteristic
1393C22×C4C2513yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2513yes—
1396C22×C4C2511yescharacteristic
1397C22×C4C2511yescharacteristic
1398C22×C4C2513yes—
1399C22×C4C2511yescharacteristic
1400C22×C4C2511yescharacteristic
1401C22×C4C2513yes—
1402C4⋊C4—26no—
1403C4⋊C4—26no—
1404C4⋊C4—22no—
1405C4⋊C4—26no—
1406C4⋊C4—26no—
1407C4⋊C4—26no—
1408C4⋊C4—26no—
1409C4⋊C4—26no—
1410C4⋊C4—22no—
1411C4⋊C4—22no—
1412C4⋊C4—22no—
1413C4⋊C4—26no—
1414C4⋊C4—22no—
1415C4⋊C4—26no—
1416C4⋊C4—22no—
1417C4⋊C4—22no—
1418C4⋊C4—26no—
1419C4⋊C4—26no—
1420C4⋊C4—26no—
1421C4⋊C4—26no—
1422C4⋊C4—26no—
1423C4⋊C4—22no—
1424C4⋊C4—41no—
1425C4⋊C4—43no—
1426C4⋊C4—43no—
1427C4⋊C4—43no—
1428C4⋊C4—43no—
1429C4⋊C4—46no—
1430C4⋊C4C22×D4112yes—
1431C4⋊C4C22×D4112yes—
1432C4⋊C4C22×D414yes—
1433C4⋊C4C22×D4112yes—
1434C22⋊C4—26no—
1435C22⋊C4—26no—
1436C22⋊C4—212no—
1437C22⋊C4—22no—
1438C22⋊C4—26no—
1439C22⋊C4—22no—
1440C22⋊C4—26no—
1441C22⋊C4—26no—
1442C22⋊C4—212no—
1443C22⋊C4—26no—
1444C22⋊C4—26no—
1445C22⋊C4—26no—
1446C22⋊C4—26no—
1447C22⋊C4—212no—
1448C22⋊C4—212no—
1449C22⋊C4—212no—
1450C22⋊C4—26no—
1451C22⋊C4—22no—
1452C22⋊C4—212no—
1453C22⋊C4—26no—
1454C22⋊C4—26no—
1455C22⋊C4—212no—
1456C22⋊C4—22no—
1457C22⋊C4—22no—
1458C22⋊C4—22no—
1459C22⋊C4—22no—
1460C22⋊C4—26no—
1461C22⋊C4—26no—
1462C22⋊C4—26no—
1463C22⋊C4—26no—
1464C22⋊C4—26no—
1465C22⋊C4—26no—
1466C22⋊C4—26no—
1467C22⋊C4—26no—
1468C22⋊C4—212no—
1469C22⋊C4—26no—
1470C22⋊C4—22no—
1471C22⋊C4—26no—
1472C22⋊C4—22no—
1473C22⋊C4—41no—
1474C22⋊C4—43no—
1475C22⋊C4—43no—
1476C22⋊C4—43no—
1477C22⋊C4—43no—
1478C22⋊C4—46no—
1479C22⋊C4—43no—
1480C22⋊C4—43no—
1481C22⋊C4—46no—
1482C22⋊C4—43no—
1483C22⋊C4—46no—
1484C22⋊C4—43no—
1485C22⋊C4—43no—
1486C22⋊C4—43no—
1487C22⋊C4—43no—
1488C22⋊C4—43no—
1489C22⋊C4—46no—
1490C22⋊C4—46no—
1491C22⋊C4—46no—
1492C22⋊C4—43no—
1493C22⋊C4—46no—
1494C22⋊C4—43no—
1495C22⋊C4—43no—
1496C22⋊C4—43no—
1497C22⋊C4C22×D4112yes—
1498C22⋊C4C22×D4124yes—
1499C22⋊C4C22×D4112yes—
1500C22⋊C4C22×D414yes—
1501C22⋊C4C22×D4112yes—
1502C42—22no—
1503C42—22no—
1504C42—26no—
1505C42—26no—
1506C42—26no—
1507C42—26no—
1508C42—26no—
1509C42—212no—
1510C42—26no—
1511C42—26no—
1512C42—46no—
1513C42C22×D4112yes—
1514C42C22×D4112yes—
1515C23—21no—
1516C23—23no—
1517C23—23no—
1518C23—23no—
1519C23—21no—
1520C23—23no—
1521C23—23no—
1522C23—23no—
1523C23—21no—
1524C23—23no—
1525C23—23no—
1526C23—23no—
1527C23—21no—
1528C23—23no—
1529C23—23no—
1530C23—23no—
1531C23—23no—
1532C23—23no—
1533C23—23no—
1534C23—23no—
1535C23—23no—
1536C23—23no—
1537C23—21no—
1538C23—21no—
1539C23—23no—
1540C23—23no—
1541C23—23no—
1542C23—21no—
1543C23—21no—
1544C23—23no—
1545C23—23no—
1546C23—23no—
1547C23—23no—
1548C23—21no—
1549C23—23no—
1550C23—23no—
1551C23—21no—
1552C23—23no—
1553C23—23no—
1554C23—23no—
1555C23—21no—
1556C23—23no—
1557C23—23no—
1558C23—23no—
1559C23—23no—
1560C23—23no—
1561C23—23no—
1562C23—23no—
1563C23—21no—
1564C23—21no—
1565C23—23no—
1566C23—23no—
1567C23—412no—
1568C23—424no—
1569C23—424no—
1570C23—412no—
1571C23—86no—
1572C23—86no—
1573C23—86no—
1574C23—812no—
1575C23—812no—
1576C23—812no—
1577C23—812no—
1578C23—812no—
1579C23—812no—
1580C23—812no—
1581C23—812no—
1582C23—86no—
1583C23—86no—
1584C23—166no—
1585C23—166no—
1586C23—166no—
1587C23—166no—
1588C23C23×D416yes—
1589C23C23×D416yes—
1590C23C23×D416yes—
1591C23C23×D412yes—
1592C23C2611yescharacteristic
1593Q8—224no—
1594Q8—412no—
1595Q8—44no—
1596Q8—44no—
1597Q8—412no—
1598Q8D42116yes—
1599D4—224no—
1600D4—224no—
1601D4—224no—
1602D4—412no—
1603D4—412no—
1604D4—424no—
1605D4—412no—
1606D4—412no—
1607D4—412no—
1608D4—412no—
1609D4—424no—
1610D4—412no—
1611D4—412no—
1612D4—44no—
1613D4—412no—
1614D4—412no—
1615D4—412no—
1616D4—412no—
1617D4—412no—
1618D4—412no—
1619D4—412no—
1620D4—412no—
1621D4—412no—
1622D4—86no—
1623D4—86no—
1624D4—86no—
1625D4—812no—
1626D4—812no—
1627D4—86no—
1628D4—86no—
1629D4—86no—
1630D4—86no—
1631D4—812no—
1632D4—86no—
1633D4—812no—
1634D4—812no—
1635D4—812no—
1636D4—86no—
1637D4—86no—
1638D4—166no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—23no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—23no—
1648C2×C4—21no—
1649C2×C4—23no—
1650C2×C4—23no—
1651C2×C4—23no—
1652C2×C4—21no—
1653C2×C4—23no—
1654C2×C4—21no—
1655C2×C4—21no—
1656C2×C4—21no—
1657C2×C4—224no—
1658C2×C4—224no—
1659C2×C4—224no—
1660C2×C4—224no—
1661C2×C4—21no—
1662C2×C4—21no—
1663C2×C4—21no—
1664C2×C4—23no—
1665C2×C4—23no—
1666C2×C4—23no—
1667C2×C4—23no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—23no—
1672C2×C4—23no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—23no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—23no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—23no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—23no—
1687C2×C4—21no—
1688C2×C4—23no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—23no—
1692C2×C4—21no—
1693C2×C4—23no—
1694C2×C4—23no—
1695C2×C4—23no—
1696C2×C4—21no—
1697C2×C4—23no—
1698C2×C4—23no—
1699C2×C4—23no—
1700C2×C4—412no—
1701C2×C4—412no—
1702C2×C4—44no—
1703C2×C4—412no—
1704C2×C4—424no—
1705C2×C4—412no—
1706C2×C4—412no—
1707C2×C4—412no—
1708C2×C4—412no—
1709C2×C4—412no—
1710C2×C4—86no—
1711C2×C4—86no—
1712C2×C4—812no—
1713C2×C4C23×D416yes—
1714C2×C4C23×D412yes—
1715C2×C4C23×D412yes—
1716C2×C4C23×D416yes—
1717C2×C4C23×D416yes—
1718C2×C4C23×D412yes—
1719C2×C4C23×D412yes—
1720C2×C4C23×D412yes—
1721C2×C4C23×D416yes—
1722C2×C4C23×D416yes—
1723C2×C4C2×H(5,𝔽2)16yes—
1724C2×C4#58512yes—
1725C22—26no—
1726C22—26no—
1727C22—22no—
1728C22—26no—
1729C22—22no—
1730C22—26no—
1731C22—26no—
1732C22—26no—
1733C22—22no—
1734C22—26no—
1735C22—26no—
1736C22—26no—
1737C22—43no—
1738C22—41no—
1739C22—43no—
1740C22—43no—
1741C22—41no—
1742C22—43no—
1743C22—43no—
1744C22—43no—
1745C22—43no—
1746C22—43no—
1747C22—43no—
1748C22—41no—
1749C22—41no—
1750C22—43no—
1751C22—43no—
1752C22—43no—
1753C22—43no—
1754C22—43no—
1755C22—41no—
1756C22—43no—
1757C22—41no—
1758C22—43no—
1759C22—43no—
1760C22—43no—
1761C22—41no—
1762C22—43no—
1763C22—43no—
1764C22—43no—
1765C22—43no—
1766C22—43no—
1767C22—43no—
1768C22—43no—
1769C22—41no—
1770C22—41no—
1771C22—43no—
1772C22—43no—
1773C22—43no—
1774C22—43no—
1775C22—41no—
1776C22—43no—
1777C22—41no—
1778C22—43no—
1779C22—43no—
1780C22—43no—
1781C22—824no—
1782C22—1624no—
1783C22—1624no—
1784C22C24×D411yescharacteristic
1785C22C24×D411yescharacteristic
1786C22C22×H(5,𝔽2)11yescharacteristic
1787C22C2×#58511yescharacteristic
1788C22H(7,𝔽2)11yescharacteristic
1789C22H(7,𝔽2)11yescharacteristic
1790C22H(7,𝔽2)11yescharacteristic
1791C4—22no—
1792C4—26no—
1793C4—22no—
1794C4—22no—
1795C4—26no—
1796C4—22no—
1797C4—22no—
1798C4—22no—
1799C4—26no—
1800C4—41no—
1801C4—43no—
1802C4—41no—
1803C4—43no—
1804C4—43no—
1805C4—41no—
1806C4—43no—
1807C4—43no—
1808C4—41no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—43no—
1813C4C2×D42112yes—
1814C2—42no—
1815C2—46no—
1816C2—46no—
1817C2—46no—
1818C2—81no—
1819C2—83no—
1820C2—83no—
1821C2—83no—
1822C2C22×D4211yescharacteristic
1823C2#6285211yescharacteristic
1824C2#6285211yescharacteristic
1825C2#6292311yescharacteristic
1826C2#6298711yescharacteristic
1827C2#6300311yescharacteristic
1828C2#6306611yescharacteristic
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×#3500C2semidirect
2. C2×#3498C2semidirect
3. C2×#3488C2semidirect
4. C2×#3487C2semidirect
5. #59131C2semidirect
6. #59124C2semidirect
7. #59004C2semidirect
8. #52096C2semidirect
9. #45093C2semidirect
10. #44932C2semidirect
11. #44927C2semidirect
12. #44886C2semidirect
13. #44877C2semidirect
14. #44870C2semidirect
15. #39342C2semidirect
16. #39335C2semidirect
17. #37677C2semidirect
18. #37674C2semidirect
19. #37658C2semidirect
20. #37650C2semidirect
21. #36455C2semidirect
22. #36430C2semidirect
23. #36429C2semidirect
24. #36091C2semidirect
25. #36082C2semidirect
26. #36066C2semidirect
27. #36018C2semidirect
28. #35831C2semidirect
29. #35757C2semidirect
30. #34295C2semidirect
31. #34293C2semidirect
32. C22×2−1+4C22semidirect
34. C22×H(5,𝔽2)C22semidirect
35. C23×#41C22semidirect
43. C2×#550C22semidirect
44. C2×#550C22semidirect
45. C2×#550C22semidirect
46. C2×#550C22semidirect
47. C2×#550C22semidirect
48. C2×#550C22semidirect
49. C2×#550C22semidirect
51. C2×#548C22semidirect
52. C2×#548C22semidirect
53. C2×#548C22semidirect
54. C2×#548C22semidirect
55. C2×#548C22semidirect
56. C2×#548C22semidirect
57. C2×#548C22semidirect
58. C2×#548C22semidirect
59. C2×#548C22semidirect
60. C2×#546C22semidirect
61. C2×#546C22semidirect
62. C2×#546C22semidirect
63. C2×#546C22semidirect
64. C2×#546C22semidirect
65. C2×#546C22semidirect
66. C2×D42C22semidirect
67. C2×D42C22semidirect
68. C2×D42C22semidirect
69. C2×D42C22semidirect
70. C2×D42C22semidirect
71. C2×D42C22semidirect
72. C2×#537C22semidirect
73. C2×#536C22semidirect
74. C2×#535C22semidirect
75. C2×#535C22semidirect
76. C2×#535C22semidirect
77. C2×#535C22semidirect
78. C2×#535C22semidirect
79. C2×#535C22semidirect
80. C2×#532C22semidirect
81. C2×#532C22semidirect
82. C22×#127C22semidirect
83. C22×#124C22semidirect
84. C2×#525C22semidirect
85. C2×#525C22semidirect
86. C2×#525C22semidirect
87. C22×#121C22semidirect
88. C2×#520C22semidirect
89. C2×#519C22semidirect
90. C2×C4×#41C22semidirect
91. C2×C4×#41C22semidirect
92. #2856C22semidirect
93. #2850C22semidirect
94. #2847C22semidirect
95. #2679C22semidirect
96. #2678C22semidirect
97. #2678C22semidirect
98. #2677C22semidirect
99. #2676C22semidirect
100. #2676C22semidirect
101. #2676C22semidirect
102. #2675C22semidirect
103. #2674C22semidirect
104. #2674C22semidirect
105. #2673C22semidirect
106. #2673C22semidirect
107. #2673C22semidirect
108. #2673C22semidirect
109. #2672C22semidirect
110. #2672C22semidirect
111. #2671C22semidirect
112. #2671C22semidirect
113. #2671C22semidirect
114. #2670C22semidirect
115. #2670C22semidirect
116. #2670C22semidirect
117. #2669C22semidirect
118. #2669C22semidirect
119. #2669C22semidirect
120. #2669C22semidirect
121. #2669C22semidirect
122. #2669C22semidirect
123. #2668C22semidirect
124. #2657C22semidirect
125. #2620C22semidirect
126. #2619C22semidirect
127. #2616C22semidirect
128. #2615C22semidirect
129. #2615C22semidirect
130. #2555C22semidirect
131. #2548C22semidirect
132. #2544C22semidirect
133. #2544C22semidirect
134. #2541C22semidirect
135. #2541C22semidirect
136. #2541C22semidirect
137. #2541C22semidirect
138. #2541C22semidirect
139. #2540C22semidirect
140. #2540C22semidirect
141. #2540C22semidirect
142. #2537C22semidirect
143. #2537C22semidirect
144. #2536C22semidirect
145. #2535C22semidirect
146. #2491C22semidirect
147. #2472C22semidirect
148. #2464C22semidirect
149. #2461C22semidirect
150. #2445C22semidirect
151. #2436C22semidirect
152. #2435C22semidirect
153. #2435C22semidirect
154. #2435C22semidirect
155. #2433C22semidirect
156. #2433C22semidirect
157. #2433C22semidirect
158. #2433C22semidirect
159. #2433C22semidirect
160. #2433C22semidirect
161. #2431C22semidirect
162. #2431C22semidirect
163. #2431C22semidirect
164. #2431C22semidirect
165. #2428C22semidirect
166. #2428C22semidirect
167. #2428C22semidirect
168. #2428C22semidirect
169. #2427C22semidirect
170. #2427C22semidirect
171. #2426C22semidirect
172. #2426C22semidirect
173. #2424C22semidirect
174. #2424C22semidirect
175. #2424C22semidirect
176. #2418C22semidirect
177. #2418C22semidirect
178. #2417C22semidirect
179. #2416C22semidirect
180. #2415C22semidirect
181. #2414C22semidirect
182. #2414C22semidirect
183. #2414C22semidirect
184. #2414C22semidirect
185. #2414C22semidirect
186. #2410C22semidirect
187. #2410C22semidirect
188. #2410C22semidirect
189. #2410C22semidirect
190. #2409C22semidirect
191. #2408C22semidirect
192. #2408C22semidirect
193. #2408C22semidirect
194. #2408C22semidirect
195. #2408C22semidirect
196. #2408C22semidirect
197. #2408C22semidirect
198. #2408C22semidirect
199. #2407C22semidirect
200. #2407C22semidirect
201. #2407C22semidirect
202. #2407C22semidirect
203. #2403C22semidirect
204. #2403C22semidirect
205. #2397C22semidirect
206. #2392C22semidirect
207. #2392C22semidirect
208. #2388C22semidirect
209. #2388C22semidirect
210. #2388C22semidirect
211. #2367C22semidirect
212. #2366C22semidirect
213. #2363C22semidirect
214. #2363C22semidirect
215. #2362C22semidirect
216. #2361C22semidirect
217. #2354C22semidirect
218. #2352C22semidirect
219. #2351C22semidirect
220. Q8×C4⋊C4C22semidirect
221. #2341C22semidirect
222. #2341C22semidirect
223. #2341C22semidirect
224. #2341C22semidirect
225. #2341C22semidirect
226. #2341C22semidirect
227. Q8×C22⋊C4C22semidirect
228. Q8×C22⋊C4C22semidirect
229. D4×C22⋊C4C22semidirect
230. #2328C22semidirect
231. #2326C22semidirect
232. #2324C22semidirect
233. #2324C22semidirect
234. C4×C22⋊Q8C22semidirect
235. C4×#121C22semidirect
236. C4×#121C22semidirect
237. C4×#121C22semidirect
238. C4×#120C22semidirect
239. #2290C22semidirect
240. #2290C22semidirect
241. #2276C22semidirect
290. #550D4semidirect
300. #548D4semidirect
731. C2×#41C2×D4semidirect
740. C22×Q8C2×D4semidirect
851. #127C2×D4semidirect
865. #124C2×D4semidirect
883. C22⋊Q8C2×D4semidirect
927. #121C2×D4semidirect
928. #121C2×D4semidirect
929. #121C2×D4semidirect
956. C4×Q8C2×D4semidirect
957. C4×Q8C2×D4semidirect
981. C4×D4C2×D4semidirect
982. C4×D4C2×D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35002
C2×#34982
C2×#34882
C2×#34872
#591312
#591242
#590042
#520962
#450932
#449322
#449272
#448862
#448772
#448702
#393422
#393352
#376772
#376742
#376582
#376502
#364552
#364302
#364292
#360912
#360822
#360662
#360182
#358312
#357572
#342952
#342932