Finite Group Databasebeta

← #8174557

Subgroups — #8174557

Order 512.

5300 conjugacy classes of subgroups.

The subgroup lattice has 1880 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59218C211yesmaximal, characteristic, complemented
2#59217C211yesmaximal, characteristic, complemented
3#59049C211yesmaximal, characteristic, complemented
4#59035C211yesmaximal, characteristic, complemented
5#58747C214yesmaximal, complemented
6#57300C214yesmaximal, complemented
7#57172C214yesmaximal, complemented
8#53992C214yesmaximal, complemented
9#53096C212yesmaximal, complemented
10#53062C212yesmaximal, complemented
11#52981C212yesmaximal, complemented
12#52981C212yesmaximal, complemented
13#45064C212yesmaximal, complemented
14#45023C212yesmaximal, complemented
15#42976C212yesmaximal, complemented
16#42894C212yesmaximal, complemented
17#42752C212yesmaximal, complemented
18#42632C212yesmaximal, complemented
19#42586C212yesmaximal, complemented
20#42438C212yesmaximal, complemented
21#39737C211yesmaximal, characteristic, complemented
22#39468C211yesmaximal, characteristic, complemented
23#39352C211yesmaximal, characteristic, complemented
24#39342C211yesmaximal, characteristic, complemented
25#39136C211yesmaximal, characteristic, complemented
26#38910C211yesmaximal, characteristic, complemented
27#37970C212yesmaximal, complemented
28#37786C212yesmaximal, complemented
29#37621C212yesmaximal, complemented
30#37273C212yesmaximal, complemented
31#36186C211yesmaximal, characteristic, complemented
32#36117C211yesmaximal, characteristic, complemented
33#35292C211yesmaximal, characteristic, complemented
34#34937C211yesmaximal, characteristic, complemented
35#34614C211yesmaximal, characteristic, complemented
36C2×#556C2211yescharacteristic, complemented
37C2×#552C2212yescomplemented
38C2×#546C2212yes—
39C2×D42C2211yescharacteristic
40C2×#540C2212yescomplemented
41C2×#535C2212yes—
42C2×#532C2211yescharacteristic
43C2×#532C2211yescharacteristic
44C2×#532C2212yescomplemented
45C2×#529C2211yescharacteristic
46C2×#529C2212yescomplemented
47C2×C4×#41C2211yescharacteristic, complemented
48#2857C2211yescharacteristic, complemented
49#2857C2211yescharacteristic, complemented
50#2856C2211yescharacteristic
51#2856C2211yescharacteristic
52#2854C2212yes—
53#2854C2212yescomplemented
54#2842C2214yescomplemented
55#2837C2214yescomplemented
56#2837C2214yescomplemented
57#2829C2214yescomplemented
58#2829C2214yescomplemented
59#2829C2214yescomplemented
60#2829C2214yescomplemented
61#2826C2214yescomplemented
62#2813C2214yescomplemented
63#2813C2214yescomplemented
64#2813C2214yescomplemented
65#2813C2214yescomplemented
66#2800C2214yescomplemented
67#2786C2214yescomplemented
68#2783C2214yescomplemented
69#2781C2214yescomplemented
70#2772C2214yescomplemented
71#2754C2214yescomplemented
72#2748C2214yescomplemented
73#2747C2214yescomplemented
74#2741C2214yescomplemented
75#2741C2214yescomplemented
76#2733C2214yescomplemented
77#2731C2214yescomplemented
78#2727C2214yescomplemented
79#2715C2214yescomplemented
80#2715C2214yescomplemented
81#2714C2214yescomplemented
82#2714C2214yescomplemented
83#2711C2214yescomplemented
84#2709C2214yescomplemented
85#2707C2214yescomplemented
86#2706C2214yescomplemented
87#2706C2214yescomplemented
88#2705C2214yescomplemented
89#2705C2214yescomplemented
90#2705C2214yescomplemented
91#2703C2214yescomplemented
92#2697C2214yescomplemented
93#2697C2214yescomplemented
94#2694C2214yescomplemented
95#2693C2214yescomplemented
96#2691C2214yescomplemented
97#2685C2214yes—
98#2685C2214yescomplemented
99#2685C2214yescomplemented
100#2685C2214yescomplemented
101#2685C2214yescomplemented
102#2684C2214yescomplemented
103#2678C2214yes—
104#2678C2214yescomplemented
105#2678C2214yescomplemented
106#2678C2214yescomplemented
107#2673C2214yescomplemented
108#2673C2214yescomplemented
109#2671C2214yescomplemented
110#2670C2214yes—
111#2669C2214yes—
112#2669C2214yescomplemented
113#2668C2214yes—
114#2662C2214yescomplemented
115#2662C2214yescomplemented
116#2654C2214yescomplemented
117#2648C2214yescomplemented
118#2648C2214yescomplemented
119#2637C2212yescomplemented
120#2636C2212yescomplemented
121#2630C2212yescomplemented
122#2630C2212yescomplemented
123#2629C2211yescharacteristic, complemented
124#2629C2211yescharacteristic, complemented
125#2628C2214yescomplemented
126#2625C2211yescharacteristic, complemented
127#2624C2211yescharacteristic
128#2624C2212yes—
129#2624C2212yescomplemented
130#2624C2212yescomplemented
131#2620C2211yescharacteristic
132#2620C2211yescharacteristic
133#2620C2212yes—
134#2620C2212yescomplemented
135#2619C2214yescomplemented
136#2617C2214yescomplemented
137#2616C2212yescomplemented
138#2616C2211yescharacteristic, complemented
139#2615C2211yescharacteristic
140#2615C2212yes—
141#2615C2212yescomplemented
142#2601C2214yescomplemented
143#2592C2212yescomplemented
144#2589C2214yescomplemented
145#2580C2212yescomplemented
146#2562C2212yescomplemented
147#2562C2212yescomplemented
148#2554C2214yescomplemented
149#2552C2211yescharacteristic, complemented
150#2552C2211yescharacteristic, complemented
151#2548C2211yescharacteristic
152#2548C2211yescharacteristic
153#2548C2212yescomplemented
154#2547C2211yescharacteristic
155#2547C2211yescharacteristic, complemented
156#2546C2211yescharacteristic, complemented
157#2545C2212yescomplemented
158#2544C2212yes—
159#2544C2212yescomplemented
160#2543C2212yescomplemented
161#2543C2212yescomplemented
162#2542C2211yescharacteristic
163#2541C2212yes—
164#2541C2211yescharacteristic
165#2541C2211yescharacteristic
166#2540C2212yes—
167#2540C2212yescomplemented
168#2540C2212yescomplemented
169#2540C2212yescomplemented
170#2538C2211yescharacteristic
171#2538C2212yescomplemented
172#2538C2212yescomplemented
173#2538C2212yescomplemented
174#2537C2212yes—
175#2537C2211yescharacteristic
176#2537C2212yescomplemented
177#2537C2212yescomplemented
178#2535C2212yescomplemented
179#2519C2214yescomplemented
180#2512C2212yes—
181#2512C2212yes—
182#2512C2212yescomplemented
183#2511C2212yescomplemented
184#2506C2212yescomplemented
185#2501C2212yescomplemented
186#2501C2212yescomplemented
187#2498C2214yescomplemented
188#2497C2212yescomplemented
189#2497C2212yescomplemented
190#2497C2212yescomplemented
191#2496C2212yescomplemented
192#2491C2212yes—
193#2490C2212yes—
194#2490C2212yes—
195#2490C2212yes—
196#2490C2214yescomplemented
197#2489C2212yescomplemented
198#2485C2212yescomplemented
199#2485C2212yescomplemented
200#2485C2212yescomplemented
201#2485C2212yescomplemented
202#2480C2214yescomplemented
203#2479C2214yescomplemented
204#2476C2214yescomplemented
205#2474C2214yescomplemented
206#2471C2214yescomplemented
207#2471C2214yescomplemented
208#2467C2214yescomplemented
209#2454C2212yescomplemented
210#2454C2212yescomplemented
211#2451C2212yescomplemented
212#2448C2212yes—
213#2448C2212yescomplemented
214#2448C2212yescomplemented
215#2445C2214yescomplemented
216#2445C2212yescomplemented
217#2441C2212yescomplemented
218#2441C2212yescomplemented
219#2435C2212yes—
220#2435C2212yes—
221#2433C2212yes—
222#2431C2212yescomplemented
223#2427C2212yes—
224#2427C2212yescomplemented
225#2427C2212yescomplemented
226#2426C2212yes—
227#2426C2212yes—
228#2425C2214yescomplemented
229#2422C2212yes—
230#2422C2212yescomplemented
231#2418C2214yes—
232#2418C2214yescomplemented
233#2417C2212yescomplemented
234#2417C2212yescomplemented
235#2416C2212yes—
236#2416C2211yescharacteristic
237#2416C2211yescharacteristic
238#2416C2212yescomplemented
239#2416C2211yescharacteristic, complemented
240#2416C2211yescharacteristic, complemented
241#2414C2212yes—
242#2414C2212yes—
243#2414C2212yes—
244#2414C2214yescomplemented
245#2414C2212yescomplemented
246#2414C2212yescomplemented
247#2414C2212yescomplemented
248#2414C2214yescomplemented
249#2411C2214yescomplemented
250#2408C2212yes—
251#2408C2212yes—
252#2408C2212yes—
253#2408C2212yes—
254#2408C2212yes—
255#2407C2212yes—
256#2407C2212yescomplemented
257#2407C2212yescomplemented
258#2396C2212yescomplemented
259#2392C2212yescomplemented
260#2392C2212yescomplemented
261#2392C2212yescomplemented
262#2392C2212yescomplemented
263#2392C2212yescomplemented
264#2370C2212yescomplemented
265#2366C2211yescharacteristic
266#2365C2211yescharacteristic, complemented
267#2363C2212yescomplemented
268#2363C2212yescomplemented
269#2362C2212yescomplemented
270#2362C2212yescomplemented
271#2361C2212yescomplemented
272#2354C2211yescharacteristic
273#2354C2211yescharacteristic
274#2354C2212yescomplemented
275Q8×C4⋊C4C2211yescharacteristic, complemented
276D4×C4⋊C4C2211yescharacteristic, complemented
277#2345C2212yescomplemented
278#2341C2212yescomplemented
279D4×C22⋊C4C2212yes—
280#2324C2212yescomplemented
281#2324C2212yescomplemented
282#2323C2212yescomplemented
283#2323C2212yescomplemented
284#2311C2212yescomplemented
285#2309C2212yes—
286C4×C22⋊Q8C2211yescharacteristic, complemented
287C4×C22⋊Q8C2211yescharacteristic, complemented
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic
290C4×#121C2211yescharacteristic
291C4×#121C2211yescharacteristic
292C4×#121C2211yescharacteristic, complemented
293C4×#121C2211yescharacteristic, complemented
294#2297C2212yescomplemented
295#2285C2211yescharacteristic, complemented
296#2285C2211yescharacteristic, complemented
297#2285C2212yescomplemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2311yescharacteristic
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304#556—44no—
305#552—48no—
306#546—48no—
307D42—44no—
308#540—48no—
309#535—48no—
310#532—44no—
311#532—44no—
312#532—48no—
313C2×C4⋊Q8C2311yescharacteristic
314C2×C4⋊Q8C2312yes—
315C2×C4⋊Q8C2311yescharacteristic
316C2×#127C2311yescharacteristic
317C2×#127C2312yes—
318C2×#127C2314yes—
319C2×#127C2311yescharacteristic
320C2×#127C2312yes—
321#529—44no—
322#529—48no—
323C2×#126C2312yes—
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#126C2314yes—
327C2×#126C2314yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#125C2311yescharacteristic
331C2×#125C2314yes—
332C2×#124C2312yes—
333C2×#124C2311yescharacteristic
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2314yes—
340C2×#124C2312yes—
341C2×#123C2314yes—
342C2×#123C2312yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×#121C2312yes—
359C2×#121C2311yescharacteristic
360C2×#121C2311yescharacteristic
361C2×#121C2311yescharacteristic
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2311yescharacteristic
367C2×#121C2311yescharacteristic
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2311yescharacteristic
374C2×#121C2312yes—
375C2×#121C2311yescharacteristic
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2314yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2311yescharacteristic
385C2×#121C2312yes—
386C2×#121C2311yescharacteristic
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2314yes—
390C2×#120C2314yes—
391C2×#120C2314yes—
392C2×#120C2314yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396C4×#41—44no—
397C2×C4×Q8C2311yescharacteristic
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2312yes—
403C2×C4×D4C2311yescharacteristic
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2314yes—
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2311yescharacteristic
418C2×C4×D4C2311yescharacteristic
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×#117C2312yes—
427C2×#117C2312yes—
428C2×#117C2312yes—
429C2×#117C2312yes—
430C2×#117C2311yescharacteristic
431C2×#117C2311yescharacteristic
432C2×#117C2312yes—
433C2×#117C2314yes—
434C2×#117C2311yescharacteristic
435C2×#117C2314yes—
436C2×#117C2312yes—
437C22×C4⋊C4C2311yescharacteristic
438C22×C4⋊C4C2312yes—
439C22×C4⋊C4C2311yescharacteristic
440C22×C22⋊C4C2314yes—
441C22×C42C2312yes—
442C22×C42C2311yescharacteristic
443C22×C42C2311yescharacteristic
444C22×C42C2311yescharacteristic
445#400C2314yes—
446#400C2314yes—
447#400C2314yes—
448#400C2314yes—
449#400C2312yes—
450#400C2314yes—
451#399C2314yes—
452#399C2314yes—
453#399C2314yes—
454#399C2314yes—
455#399C2314yes—
456#399C2314yes—
457#399C2314yes—
458#399C2314yes—
459#399C2312yes—
460#399C2314yes—
461#399C2314yes—
462#398C2314yes—
463#398C2312yes—
464#398C2314yes—
465#398C2312yes—
466#398C2312yes—
467#398C2312yes—
468#398C2314yes—
469#398C2312yes—
470#398C2312yes—
471#398C2312yes—
472#398C2314yes—
473#397C2312yes—
474#397C2314yes—
475#397C2312yes—
476#397C2312yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2312yes—
486#397C2312yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#396C2312yes—
492#396C2314yes—
493#396C2314yes—
494#396C2312yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2312yes—
501#396C2312yes—
502#396C2314yes—
503#396C2314yes—
504#396C2312yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2312yes—
509#396C2312yes—
510#396C2314yes—
511#396C2312yes—
512#396C2312yes—
513#396C2312yes—
514#396C2312yes—
515#396C2312yes—
516#396C2314yes—
517#395C2312yes—
518#395C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2312yes—
526#394C2312yes—
527#394C2312yes—
528#394C2312yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2312yes—
548#394C2314yes—
549#394C2312yes—
550#394C2312yes—
551#394C2314yes—
552#394C2314yes—
553#394C2312yes—
554#394C2312yes—
555#394C2312yes—
556#394C2312yes—
557#394C2314yes—
558#394C2312yes—
559#394C2314yes—
560#394C2312yes—
561#394C2312yes—
562#394C2312yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#393C2314yes—
567#393C2314yes—
568#393C2312yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2312yes—
576#392C2312yes—
577#392C2312yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2312yes—
584#392C2314yes—
585#392C2314yes—
586#392C2312yes—
587#392C2314yes—
588#392C2314yes—
589#391C2314yes—
590#391C2312yes—
591#391C2312yes—
592#391C2312yes—
593#391C2312yes—
594#391C2311yescharacteristic
595#391C2312yes—
596#391C2311yescharacteristic
597#391C2312yes—
598#390C2311yescharacteristic
599#390C2314yes—
600#390C2312yes—
601#390C2312yes—
602#390C2314yes—
603#390C2312yes—
604#390C2314yes—
605#390C2314yes—
606#390C2314yes—
607#390C2314yes—
608#390C2312yes—
609#390C2312yes—
610#390C2314yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2311yescharacteristic
615#390C2312yes—
616#390C2312yes—
617#390C2314yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2314yes—
622#390C2312yes—
623#390C2312yes—
624#390C2311yescharacteristic
625#390C2314yes—
626#390C2314yes—
627#390C2314yes—
628#390C2311yescharacteristic
629#390C2311yescharacteristic
630#390C2312yes—
631#390C2314yes—
632#390C2314yes—
633#390C2314yes—
634#390C2312yes—
635#390C2314yes—
636#390C2311yescharacteristic
637#390C2312yes—
638#389C2311yescharacteristic
639#389C2312yes—
640#389C2314yes—
641#389C2314yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2314yes—
647#389C2314yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2312yes—
652#389C2311yescharacteristic
653#389C2314yes—
654#389C2312yes—
655#389C2312yes—
656#389C2311yescharacteristic
657#389C2311yescharacteristic
658#389C2312yes—
659#389C2311yescharacteristic
660#389C2311yescharacteristic
661#389C2311yescharacteristic
662#389C2311yescharacteristic
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2312yes—
689#388C2312yes—
690#388C2314yes—
691#388C2312yes—
692#388C2312yes—
693#388C2314yes—
694#388C2314yes—
695#388C2312yes—
696#388C2312yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2312yes—
708#387C2312yes—
709#387C2314yes—
710#387C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2312yes—
721#386C2314yes—
722#386C2314yes—
723#386C2312yes—
724#386C2312yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2312yes—
729#386C2312yes—
730#386C2312yes—
731#386C2312yes—
732#386C2312yes—
733#386C2312yes—
734#386C2312yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2312yes—
739#385C2314yes—
740#385C2314yes—
741#385C2312yes—
742#385C2314yes—
743#384C2311yescharacteristic
744#384C2311yescharacteristic
745#384C2312yes—
746#384C2312yes—
747#384C2311yescharacteristic
748#384C2311yescharacteristic
749#384C2312yes—
750#384C2312yes—
751#382C2312yes—
752#382C2314yes—
753#382C2312yes—
754#380C2311yescharacteristic
755#380C2311yescharacteristic
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2312yes—
761#380C2312yes—
762#380C2311yescharacteristic
763#380C2312yes—
764#380C2312yes—
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2311yescharacteristic
769#380C2314yes—
770#380C2314yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2314yes—
775#380C2311yescharacteristic
776#380C2311yescharacteristic
777#380C2311yescharacteristic
778#380C2311yescharacteristic
779#380C2314yes—
780#380C2314yes—
781#380C2312yes—
782#380C2311yescharacteristic
783#380C2312yes—
784#380C2314yes—
785#380C2314yes—
786#379C2314yes—
787#379C2314yes—
788#379C2314yes—
789#379C2314yes—
790#379C2314yes—
791#379C2314yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2314yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2314yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2312yes—
811C4×C22⋊C4C2314yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2314yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C2×#95C2312yes—
822C25C2414yes—
823C2×#41—24no—
824C2×#41—28no—
825C2×#41—42no—
826C2×#41—42no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2411yescharacteristic
835C22×Q8C2412yes—
836C22×D4—44no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4C2411yescharacteristic
843C22×D4C2412yes—
844C22×D4C2411yescharacteristic
845C22×D4C2411yescharacteristic
846C22×D4C2412yes—
847C22×D4C2411yescharacteristic
848C22×D4C2411yescharacteristic
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2414yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C23×C4C2411yescharacteristic
871C23×C4C2412yes—
872C23×C4C2411yescharacteristic
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2412yes—
877C23×C4C2411yescharacteristic
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C23×C4C2414yes—
881C23×C4C2412yes—
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2411yescharacteristic
885C23×C4C2414yes—
886C23×C4C2414yes—
887C4⋊Q8—24no—
888C4⋊Q8—42no—
889C4⋊Q8—44no—
890#127—24no—
891#127—44no—
892#127—42no—
893#127—44no—
894#127—48no—
895#126—44no—
896#126—48no—
897#126—48no—
898#126—48no—
899#126—84no—
900#125—28no—
901#125—42no—
902#125—44no—
903#125—48no—
904#124—44no—
905#124—42no—
906#124—44no—
907#124—44no—
908#124—44no—
909#124—44no—
910#124—44no—
911#124—44no—
912#124—48no—
913#123—48no—
914#123—48no—
915#123—44no—
916#123—48no—
917#123—48no—
918#123—48no—
919#123—84no—
920#123—84no—
921C22⋊Q8—24no—
922C22⋊Q8—28no—
923C22⋊Q8—44no—
924C22⋊Q8—44no—
925C22⋊Q8—44no—
926C22⋊Q8—42no—
927C22⋊Q8—42no—
928C22⋊Q8—44no—
929C22⋊Q8—44no—
930#121—28no—
931#121—24no—
932#121—24no—
933#121—24no—
934#121—44no—
935#121—48no—
936#121—42no—
937#121—42no—
938#121—42no—
939#121—44no—
940#121—44no—
941#121—44no—
942#121—44no—
943#121—42no—
944#121—44no—
945#121—42no—
946#121—42no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—48no—
951#121—44no—
952#121—44no—
953#121—44no—
954#121—48no—
955#121—44no—
956#121—44no—
957#121—44no—
958#121—44no—
959#121—84no—
960#121—82no—
961#121—82no—
962#120—48no—
963#120—48no—
964#120—48no—
965#120—48no—
966#120—84no—
967#120—84no—
968C4×Q8—24no—
969C4×Q8—42no—
970C4×Q8—42no—
971C4×Q8—44no—
972C4×Q8—44no—
973C4×Q8—44no—
974C4×D4—28no—
975C4×D4—24no—
976C4×D4—24no—
977C4×D4—24no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—44no—
982C4×D4—42no—
983C4×D4—42no—
984C4×D4—42no—
985C4×D4—42no—
986C4×D4—42no—
987C4×D4—42no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—48no—
997#117—42no—
998#117—42no—
999#117—42no—
1000#117—44no—
1001#117—44no—
1002#117—48no—
1003#117—44no—
1004#117—44no—
1005#117—48no—
1006#117—44no—
1007#117—82no—
1008C2×C4⋊C4—24no—
1009C2×C4⋊C4—44no—
1010C2×C4⋊C4—42no—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2411yescharacteristic
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2411yescharacteristic
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2414yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2414yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C22⋊C4—48no—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2414yes—
1077C2×C22⋊C4C2414yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2411yescharacteristic
1089C2×C22⋊C4C2411yescharacteristic
1090C2×C22⋊C4C2411yescharacteristic
1091C2×C22⋊C4C2411yescharacteristic
1092C2×C22⋊C4C2411yescharacteristic
1093C2×C22⋊C4C2411yescharacteristic
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2412yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2412yes—
1156C2×C42—28no—
1157C2×C42—24no—
1158C2×C42—24no—
1159C2×C42—24no—
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2412yes—
1165C2×C42C2412yes—
1166C2×C42C2412yes—
1167C2×C42C2412yes—
1168C2×C42C2412yes—
1169C2×C42C2411yescharacteristic
1170C2×C42C2412yes—
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2412yes—
1176C2×C42C2414yes—
1177C2×C42C2414yes—
1178C2×C42C2414yes—
1179C2×C42C2414yes—
1180C2×C42C2414yes—
1181C2×C42C2414yes—
1182C2×C42C2411yescharacteristic
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2412yes—
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2414yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2414yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2414yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229C24—44no—
1230C24—44no—
1231C24—44no—
1232C24—44no—
1233C24—44no—
1234C24—44no—
1235C24—44no—
1236C24C2512yes—
1237C24C2512yes—
1238C24C2514yes—
1239C24C2512yes—
1240C24C2511yescharacteristic
1241C24C2511yescharacteristic
1242C24C2511yescharacteristic
1243#41—416no—
1244#41—816no—
1245#41—816no—
1246C2×Q8—22no—
1247C2×Q8—22no—
1248C2×Q8—24no—
1249C2×Q8—24no—
1250C2×Q8—22no—
1251C2×Q8—24no—
1252C2×Q8—22no—
1253C2×Q8—24no—
1254C2×Q8—41no—
1255C2×Q8—41no—
1256C2×Q8—42no—
1257C2×Q8—42no—
1258C2×D4—22no—
1259C2×D4—22no—
1260C2×D4—28no—
1261C2×D4—24no—
1262C2×D4—24no—
1263C2×D4—24no—
1264C2×D4—22no—
1265C2×D4—22no—
1266C2×D4—22no—
1267C2×D4—24no—
1268C2×D4—22no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—22no—
1272C2×D4—22no—
1273C2×D4—24no—
1274C2×D4—22no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—22no—
1280C2×D4—24no—
1281C2×D4—22no—
1282C2×D4—22no—
1283C2×D4—24no—
1284C2×D4—41no—
1285C2×D4—41no—
1286C2×D4—41no—
1287C2×D4—41no—
1288C2×D4—41no—
1289C2×D4—41no—
1290C2×D4—42no—
1291C2×D4—42no—
1292C2×D4—42no—
1293C2×D4—42no—
1294C2×D4—42no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—44no—
1306C2×D4—42no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—42no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—44no—
1329C2×D4—42no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—816no—
1343C2×D4—816no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—22no—
1354C22×C4—24no—
1355C22×C4—22no—
1356C22×C4—22no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—24no—
1361C22×C4—24no—
1362C22×C4—22no—
1363C22×C4—22no—
1364C22×C4—22no—
1365C22×C4—24no—
1366C22×C4—22no—
1367C22×C4—24no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—24no—
1371C22×C4—22no—
1372C22×C4—22no—
1373C22×C4—24no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—28no—
1377C22×C4—41no—
1378C22×C4—42no—
1379C22×C4—41no—
1380C22×C4—44no—
1381C22×C4—42no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—41no—
1385C22×C4—41no—
1386C22×C4—42no—
1387C22×C4—41no—
1388C22×C4—44no—
1389C22×C4—41no—
1390C22×C4—44no—
1391C22×C4—44no—
1392C22×C4—44no—
1393C22×C4—44no—
1394C22×C4H(5,𝔽2)14yes—
1395C22×C4C2511yescharacteristic
1396C22×C4C2511yescharacteristic
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2512yes—
1401C22×C4C2511yescharacteristic
1402C22×C4C2512yes—
1403C22×C4C2512yes—
1404C22×C4C2514yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2514yes—
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C22×C4C2512yes—
1410C22×C4C2514yes—
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2512yes—
1416C22×C4C2511yescharacteristic
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2512yes—
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C4⋊C4—22no—
1424C4⋊C4—24no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—24no—
1430C4⋊C4—24no—
1431C4⋊C4—28no—
1432C4⋊C4—28no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—24no—
1438C4⋊C4—24no—
1439C4⋊C4—28no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—24no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—24no—
1446C4⋊C4—42no—
1447C4⋊C4—44no—
1448C4⋊C4—42no—
1449C4⋊C4—42no—
1450C4⋊C4—41no—
1451C4⋊C4—41no—
1452C4⋊C4—41no—
1453C4⋊C4—41no—
1454C4⋊C4—41no—
1455C4⋊C4—41no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—44no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—44no—
1471C4⋊C4—42no—
1472C4⋊C4—44no—
1473C4⋊C4—44no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—42no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—42no—
1482C4⋊C4—44no—
1483C4⋊C4—44no—
1484C4⋊C4—42no—
1485C4⋊C4H(5,𝔽2)14yes—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—28no—
1489C22⋊C4—28no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—28no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—42no—
1497C22⋊C4—44no—
1498C22⋊C4—42no—
1499C22⋊C4—44no—
1500C22⋊C4—42no—
1501C22⋊C4—42no—
1502C22⋊C4—42no—
1503C22⋊C4—42no—
1504C22⋊C4—41no—
1505C22⋊C4—41no—
1506C22⋊C4—41no—
1507C22⋊C4—41no—
1508C22⋊C4—41no—
1509C22⋊C4—41no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—42no—
1513C22⋊C4—42no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—42no—
1521C22⋊C4—44no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
1532C22⋊C4—42no—
1533C22⋊C4—44no—
1534C22⋊C4—42no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—42no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—42no—
1559C22⋊C4—44no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—42no—
1564C22⋊C4—42no—
1565C22⋊C4—44no—
1566C22⋊C4—42no—
1567C42—22no—
1568C42—22no—
1569C42—22no—
1570C42—22no—
1571C42—24no—
1572C42—24no—
1573C42—22no—
1574C42—24no—
1575C42—22no—
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—24no—
1580C42—24no—
1581C42—24no—
1582C42—24no—
1583C42—44no—
1584C42—44no—
1585C42—44no—
1586C42—44no—
1587C42—44no—
1588C42—44no—
1589C42H(5,𝔽2)14yes—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—22no—
1597C23—22no—
1598C23—24no—
1599C23—22no—
1600C23—22no—
1601C23—22no—
1602C23—22no—
1603C23—24no—
1604C23—22no—
1605C23—21no—
1606C23—21no—
1607C23—21no—
1608C23—21no—
1609C23—22no—
1610C23—24no—
1611C23—21no—
1612C23—21no—
1613C23—22no—
1614C23—21no—
1615C23—22no—
1616C23—21no—
1617C23—22no—
1618C23—22no—
1619C23—24no—
1620C23—24no—
1621C23—22no—
1622C23—22no—
1623C23—22no—
1624C23—21no—
1625C23—21no—
1626C23—22no—
1627C23—21no—
1628C23—24no—
1629C23—22no—
1630C23—22no—
1631C23—21no—
1632C23—21no—
1633C23—24no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—21no—
1638C23—88no—
1639C23—88no—
1640C23—88no—
1641C23—164no—
1642C23—164no—
1643C23—164no—
1644C23—164no—
1645C23C2×H(5,𝔽2)12yes—
1646C23C2611yescharacteristic
1647Q8—44no—
1648Q8—44no—
1649Q8—48no—
1650Q8—84no—
1651D4—44no—
1652D4—44no—
1653D4—44no—
1654D4—48no—
1655D4—44no—
1656D4—44no—
1657D4—44no—
1658D4—48no—
1659D4—84no—
1660D4—84no—
1661D4—84no—
1662D4—84no—
1663D4—84no—
1664D4—88no—
1665D4—84no—
1666D4—84no—
1667D4—84no—
1668D4—84no—
1669D4—84no—
1670D4—84no—
1671D4—84no—
1672D4—88no—
1673D4—88no—
1674D4—88no—
1675D4—164no—
1676D4—164no—
1677D4—164no—
1678D4—164no—
1679C2×C4—22no—
1680C2×C4—21no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—28no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—22no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—22no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—24no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—24no—
1711C2×C4—24no—
1712C2×C4—24no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—22no—
1719C2×C4—21no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—24no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—24no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—22no—
1732C2×C4—21no—
1733C2×C4—22no—
1734C2×C4—24no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—21no—
1739C2×C4—24no—
1740C2×C4—24no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—21no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—21no—
1755C2×C4—48no—
1756C2×C4—44no—
1757C2×C4—48no—
1758C2×C4—44no—
1759C2×C4—44no—
1760C2×C4—48no—
1761C2×C4—44no—
1762C2×C4—44no—
1763C2×C4—48no—
1764C2×C4—44no—
1765C2×C4—82no—
1766C2×C4—82no—
1767C2×C4—88no—
1768C2×C4—84no—
1769C2×C4—88no—
1770C2×C4—164no—
1771C2×C4C2×H(5,𝔽2)12yes—
1772C2×C4C2×H(5,𝔽2)12yes—
1773C2×C4C2×H(5,𝔽2)14yes—
1774C2×C4C2×H(5,𝔽2)12yes—
1775C2×C4C2×H(5,𝔽2)12yes—
1776C2×C4C2×H(5,𝔽2)12yes—
1777C2×C4C2×H(5,𝔽2)12yes—
1778C2×C4#58512yes—
1779C2×C4#58512yes—
1780C22—22no—
1781C22—22no—
1782C22—22no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—41no—
1788C22—41no—
1789C22—42no—
1790C22—44no—
1791C22—42no—
1792C22—42no—
1793C22—41no—
1794C22—41no—
1795C22—42no—
1796C22—44no—
1797C22—42no—
1798C22—42no—
1799C22—44no—
1800C22—41no—
1801C22—41no—
1802C22—42no—
1803C22—42no—
1804C22—42no—
1805C22—42no—
1806C22—41no—
1807C22—42no—
1808C22—41no—
1809C22—44no—
1810C22—42no—
1811C22—41no—
1812C22—41no—
1813C22—42no—
1814C22—44no—
1815C22—42no—
1816C22—42no—
1817C22—41no—
1818C22—42no—
1819C22—41no—
1820C22—44no—
1821C22—42no—
1822C22—42no—
1823C22—41no—
1824C22—41no—
1825C22—42no—
1826C22—42no—
1827C22—42no—
1828C22—44no—
1829C22—1616no—
1830C22C22×H(5,𝔽2)11yescharacteristic
1831C22C22×H(5,𝔽2)11yescharacteristic
1832C22C22×H(5,𝔽2)11yescharacteristic
1833C22C2×#58511yescharacteristic
1834C22C2×#58511yescharacteristic
1835C22H(7,𝔽2)11yescharacteristic
1836C222−1+611yescharacteristic
1837C4—22no—
1838C4—24no—
1839C4—22no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—42no—
1844C4—44no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—42no—
1849C4—42no—
1850C4—42no—
1851C4—42no—
1852C4—42no—
1853C4—44no—
1854C4—42no—
1855C4—42no—
1856C4—42no—
1857C4—44no—
1858C4—41no—
1859C4—41no—
1860C4—42no—
1861C4—42no—
1862C4—42no—
1863C4#354214yes—
1864C4#354614yes—
1865C2—42no—
1866C2—81no—
1867C2—81no—
1868C2—82no—
1869C2—84no—
1870C2—82no—
1871C2—82no—
1872C2C2×#354211yescharacteristic
1873C2C2×#354611yescharacteristic
1874C2#6287511yescharacteristic
1875C2#6291411yescharacteristic
1876C2#6292311yescharacteristic
1877C2#6295511yescharacteristic
1878C2#6296811yescharacteristic
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. #59218C2semidirect
2. #59217C2semidirect
3. #59049C2semidirect
4. #59035C2semidirect
5. #58747C2semidirect
6. #57300C2semidirect
7. #57172C2semidirect
8. #53992C2semidirect
9. #53096C2semidirect
10. #53062C2semidirect
11. #52981C2semidirect
12. #52981C2semidirect
13. #45064C2semidirect
14. #45023C2semidirect
15. #42976C2semidirect
16. #42894C2semidirect
17. #42752C2semidirect
18. #42632C2semidirect
19. #42586C2semidirect
20. #42438C2semidirect
21. #39737C2semidirect
22. #39468C2semidirect
23. #39352C2semidirect
24. #39342C2semidirect
25. #39136C2semidirect
26. #38910C2semidirect
27. #37970C2semidirect
28. #37786C2semidirect
29. #37621C2semidirect
30. #37273C2semidirect
31. #36186C2semidirect
32. #36117C2semidirect
33. #35292C2semidirect
34. #34937C2semidirect
35. #34614C2semidirect
36. C2×#556C22semidirect
37. C2×#552C22semidirect
40. C2×#540C22semidirect
44. C2×#532C22semidirect
46. C2×#529C22semidirect
47. C2×C4×#41C22semidirect
48. #2857C22semidirect
49. #2857C22semidirect
53. #2854C22semidirect
54. #2842C22semidirect
55. #2837C22semidirect
56. #2837C22semidirect
57. #2829C22semidirect
58. #2829C22semidirect
59. #2829C22semidirect
60. #2829C22semidirect
61. #2826C22semidirect
62. #2813C22semidirect
63. #2813C22semidirect
64. #2813C22semidirect
65. #2813C22semidirect
66. #2800C22semidirect
67. #2786C22semidirect
68. #2783C22semidirect
69. #2781C22semidirect
70. #2772C22semidirect
71. #2754C22semidirect
72. #2748C22semidirect
73. #2747C22semidirect
74. #2741C22semidirect
75. #2741C22semidirect
76. #2733C22semidirect
77. #2731C22semidirect
78. #2727C22semidirect
79. #2715C22semidirect
80. #2715C22semidirect
81. #2714C22semidirect
82. #2714C22semidirect
83. #2711C22semidirect
84. #2709C22semidirect
85. #2707C22semidirect
86. #2706C22semidirect
87. #2706C22semidirect
88. #2705C22semidirect
89. #2705C22semidirect
90. #2705C22semidirect
91. #2703C22semidirect
92. #2697C22semidirect
93. #2697C22semidirect
94. #2694C22semidirect
95. #2693C22semidirect
96. #2691C22semidirect
98. #2685C22semidirect
99. #2685C22semidirect
100. #2685C22semidirect
101. #2685C22semidirect
102. #2684C22semidirect
104. #2678C22semidirect
105. #2678C22semidirect
106. #2678C22semidirect
107. #2673C22semidirect
108. #2673C22semidirect
109. #2671C22semidirect
112. #2669C22semidirect
114. #2662C22semidirect
115. #2662C22semidirect
116. #2654C22semidirect
117. #2648C22semidirect
118. #2648C22semidirect
119. #2637C22semidirect
120. #2636C22semidirect
121. #2630C22semidirect
122. #2630C22semidirect
123. #2629C22semidirect
124. #2629C22semidirect
125. #2628C22semidirect
126. #2625C22semidirect
129. #2624C22semidirect
130. #2624C22semidirect
134. #2620C22semidirect
135. #2619C22semidirect
136. #2617C22semidirect
137. #2616C22semidirect
138. #2616C22semidirect
141. #2615C22semidirect
142. #2601C22semidirect
143. #2592C22semidirect
144. #2589C22semidirect
145. #2580C22semidirect
146. #2562C22semidirect
147. #2562C22semidirect
148. #2554C22semidirect
149. #2552C22semidirect
150. #2552C22semidirect
153. #2548C22semidirect
155. #2547C22semidirect
156. #2546C22semidirect
157. #2545C22semidirect
159. #2544C22semidirect
160. #2543C22semidirect
161. #2543C22semidirect
167. #2540C22semidirect
168. #2540C22semidirect
169. #2540C22semidirect
171. #2538C22semidirect
172. #2538C22semidirect
173. #2538C22semidirect
176. #2537C22semidirect
177. #2537C22semidirect
178. #2535C22semidirect
179. #2519C22semidirect
182. #2512C22semidirect
183. #2511C22semidirect
184. #2506C22semidirect
185. #2501C22semidirect
186. #2501C22semidirect
187. #2498C22semidirect
188. #2497C22semidirect
189. #2497C22semidirect
190. #2497C22semidirect
191. #2496C22semidirect
196. #2490C22semidirect
197. #2489C22semidirect
198. #2485C22semidirect
199. #2485C22semidirect
200. #2485C22semidirect
201. #2485C22semidirect
202. #2480C22semidirect
203. #2479C22semidirect
204. #2476C22semidirect
205. #2474C22semidirect
206. #2471C22semidirect
207. #2471C22semidirect
208. #2467C22semidirect
209. #2454C22semidirect
210. #2454C22semidirect
211. #2451C22semidirect
213. #2448C22semidirect
214. #2448C22semidirect
215. #2445C22semidirect
216. #2445C22semidirect
217. #2441C22semidirect
218. #2441C22semidirect
222. #2431C22semidirect
224. #2427C22semidirect
225. #2427C22semidirect
228. #2425C22semidirect
230. #2422C22semidirect
232. #2418C22semidirect
233. #2417C22semidirect
234. #2417C22semidirect
238. #2416C22semidirect
239. #2416C22semidirect
240. #2416C22semidirect
244. #2414C22semidirect
245. #2414C22semidirect
246. #2414C22semidirect
247. #2414C22semidirect
248. #2414C22semidirect
249. #2411C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
258. #2396C22semidirect
259. #2392C22semidirect
260. #2392C22semidirect
261. #2392C22semidirect
262. #2392C22semidirect
263. #2392C22semidirect
264. #2370C22semidirect
266. #2365C22semidirect
267. #2363C22semidirect
268. #2363C22semidirect
269. #2362C22semidirect
270. #2362C22semidirect
271. #2361C22semidirect
274. #2354C22semidirect
275. Q8×C4⋊C4C22semidirect
276. D4×C4⋊C4C22semidirect
277. #2345C22semidirect
278. #2341C22semidirect
280. #2324C22semidirect
281. #2324C22semidirect
282. #2323C22semidirect
283. #2323C22semidirect
284. #2311C22semidirect
286. C4×C22⋊Q8C22semidirect
287. C4×C22⋊Q8C22semidirect
292. C4×#121C22semidirect
293. C4×#121C22semidirect
294. #2297C22semidirect
295. #2285C22semidirect
296. #2285C22semidirect
297. #2285C22semidirect
298. C2×C4×C4⋊C4C22semidirect

Maximal subgroups

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

subgroupindex
#592182
#592172
#590492
#590352
#587472
#573002
#571722
#539922
#530962
#530622
#529812
#450642
#450232
#429762
#428942
#427522
#426322
#425862
#424382
#397372
#394682
#393522
#393422
#391362
#389102
#379702
#377862
#376212
#372732
#361862
#361172
#352922
#349372
#346142