Finite Group Databasebeta

← #7650803

Subgroups — #7650803

Order 512.

5865 conjugacy classes of subgroups.

The subgroup lattice has 1925 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42989C212yesmaximal, complemented
2#42945C212yesmaximal, complemented
3#42903C212yesmaximal, complemented
4#42847C212yesmaximal, complemented
5#42595C212yesmaximal, complemented
6#42589C212yesmaximal, complemented
7#42463C212yesmaximal, complemented
8#42462C212yesmaximal, complemented
9#41468C214yesmaximal, complemented
10#40780C214yesmaximal, complemented
11#40122C212yesmaximal, complemented
12#40049C212yesmaximal, complemented
13#39933C212yesmaximal, complemented
14#39910C212yesmaximal, complemented
15#39733C212yesmaximal, complemented
16#39248C212yesmaximal, complemented
17#39009C212yesmaximal, complemented
18#38938C212yesmaximal, complemented
19#38540C214yesmaximal, complemented
20#37900C214yesmaximal, complemented
21#35629C211yesmaximal, characteristic, complemented
22#35575C211yesmaximal, characteristic, complemented
23#35563C211yesmaximal, characteristic, complemented
24#35542C211yesmaximal, characteristic, complemented
25#35533C211yesmaximal, characteristic, complemented
26#35517C211yesmaximal, characteristic, complemented
27#35264C211yesmaximal, characteristic, complemented
28#35250C211yesmaximal, characteristic, complemented
29#35165C211yesmaximal, characteristic, complemented
30#34814C211yesmaximal, characteristic, complemented
31#34738C211yesmaximal, characteristic, complemented
32C2×#2420C211yesmaximal, characteristic, complemented
33#34265C211yesmaximal, characteristic, complemented
34#34208C211yesmaximal, characteristic, complemented
35#34175C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#544C2211yescharacteristic, complemented
38C2×#535C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#535C2211yescharacteristic, complemented
41C2×#532C2211yescharacteristic
42C2×#532C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C22×#121C2211yescharacteristic
45C2×#520C2211yescharacteristic
46C2×#520C2211yescharacteristic
47C2×#520C2211yescharacteristic, complemented
48C22×C4×D4C2211yescharacteristic, complemented
49#2861C2212yescomplemented
50#2858C2212yescomplemented
51#2847C2212yes—
52#2847C2212yes—
53#2847C2214yescomplemented
54#2831C2214yescomplemented
55#2829C2214yescomplemented
56#2825C2214yescomplemented
57#2825C2214yescomplemented
58#2808C2214yescomplemented
59#2803C2214yescomplemented
60#2797C2214yescomplemented
61#2786C2214yescomplemented
62#2784C2214yescomplemented
63#2781C2214yescomplemented
64#2778C2214yescomplemented
65#2778C2214yescomplemented
66#2761C2214yescomplemented
67#2760C2214yescomplemented
68#2759C2214yescomplemented
69#2756C2214yescomplemented
70#2756C2214yescomplemented
71#2756C2214yescomplemented
72#2751C2214yescomplemented
73#2750C2214yescomplemented
74#2749C2214yescomplemented
75#2749C2214yescomplemented
76#2745C2214yescomplemented
77#2743C2214yescomplemented
78#2733C2214yescomplemented
79#2730C2214yescomplemented
80#2714C2214yescomplemented
81#2703C2214yescomplemented
82#2688C2214yescomplemented
83#2688C2214yescomplemented
84#2686C2214yescomplemented
85#2685C2214yescomplemented
86#2684C2214yescomplemented
87#2678C2214yescomplemented
88#2676C2214yescomplemented
89#2668C2214yescomplemented
90#2665C2214yescomplemented
91#2661C2214yescomplemented
92#2653C2214yescomplemented
93#2653C2214yescomplemented
94#2649C2214yescomplemented
95#2648C2214yescomplemented
96#2648C2214yescomplemented
97#2648C2214yescomplemented
98#2641C2212yescomplemented
99#2640C2212yescomplemented
100#2639C2214yescomplemented
101#2635C2214yescomplemented
102#2631C2214yescomplemented
103#2617C2214yescomplemented
104#2617C2214yescomplemented
105#2615C2212yes—
106#2615C2212yes—
107#2578C2214yescomplemented
108#2576C2214yescomplemented
109#2572C2214yescomplemented
110#2564C2214yescomplemented
111#2563C2212yescomplemented
112#2562C2212yescomplemented
113#2562C2212yescomplemented
114#2559C2214yescomplemented
115#2557C2214yescomplemented
116#2555C2214yescomplemented
117#2548C2212yescomplemented
118#2547C2212yescomplemented
119#2547C2212yescomplemented
120#2545C2212yescomplemented
121#2544C2212yescomplemented
122#2544C2212yescomplemented
123#2544C2212yescomplemented
124#2541C2212yescomplemented
125#2541C2212yescomplemented
126#2537C2212yescomplemented
127#2537C2212yescomplemented
128#2535C2212yescomplemented
129#2535C2212yescomplemented
130#2534C2214yescomplemented
131#2514C2212yescomplemented
132#2514C2212yescomplemented
133#2513C2212yescomplemented
134#2513C2212yescomplemented
135#2510C2214yescomplemented
136#2510C2214yescomplemented
137#2510C2214yescomplemented
138#2497C2211yescharacteristic, complemented
139#2497C2211yescharacteristic, complemented
140#2496C2211yescharacteristic, complemented
141#2496C2211yescharacteristic, complemented
142#2495C2212yescomplemented
143#2495C2212yescomplemented
144#2495C2211yescharacteristic, complemented
145#2495C2211yescharacteristic, complemented
146#2494C2212yescomplemented
147#2494C2212yescomplemented
148#2494C2211yescharacteristic, complemented
149#2494C2211yescharacteristic, complemented
150#2493C2212yescomplemented
151#2493C2212yescomplemented
152#2492C2212yescomplemented
153#2491C2212yescomplemented
154#2491C2212yescomplemented
155#2491C2212yescomplemented
156#2490C2212yescomplemented
157#2490C2212yescomplemented
158#2490C2212yescomplemented
159#2489C2212yescomplemented
160#2488C2214yescomplemented
161#2487C2212yescomplemented
162#2486C2212yescomplemented
163#2485C2212yescomplemented
164#2485C2212yescomplemented
165#2480C2212yes—
166#2480C2212yes—
167#2472C2214yes—
168#2472C2214yescomplemented
169#2472C2214yescomplemented
170#2472C2214yescomplemented
171#2467C2214yescomplemented
172#2459C2214yescomplemented
173#2454C2212yescomplemented
174#2453C2212yescomplemented
175#2452C2212yescomplemented
176#2451C2212yescomplemented
177#2448C2212yescomplemented
178#2447C2212yescomplemented
179#2446C2212yescomplemented
180#2445C2212yescomplemented
181#2444C2214yescomplemented
182#2444C2214yescomplemented
183#2443C2214yescomplemented
184#2442C2212yescomplemented
185#2441C2212yescomplemented
186#2440C2212yescomplemented
187#2439C2212yescomplemented
188#2436C2212yes—
189#2436C2211yescharacteristic, complemented
190#2435C2211yescharacteristic, complemented
191#2434C2211yescharacteristic, complemented
192#2433C2212yes—
193#2433C2211yescharacteristic, complemented
194#2432C2211yescharacteristic, complemented
195#2432C2211yescharacteristic, complemented
196#2431C2212yes—
197#2431C2212yes—
198#2431C2211yescharacteristic, complemented
199#2431C2211yescharacteristic, complemented
200#2430C2212yes—
201#2430C2212yes—
202#2428C2212yes—
203#2428C2212yescomplemented
204#2426C2212yes—
205#2426C2212yescomplemented
206#2424C2214yescomplemented
207#2424C2214yescomplemented
208#2424C2214yescomplemented
209#2420C2212yes—
210#2420C2212yes—
211#2420C2212yes—
212#2420C2212yes—
213#2420C2212yescomplemented
214#2420C2212yescomplemented
215#2420C2212yescomplemented
216#2420C2212yescomplemented
217#2417C2214yescomplemented
218#2416C2212yes—
219#2416C2212yescomplemented
220#2416C2212yescomplemented
221#2416C2212yescomplemented
222#2414C2212yes—
223#2414C2212yescomplemented
224#2414C2212yescomplemented
225#2414C2212yescomplemented
226#2410C2212yes—
227#2410C2212yes—
228#2408C2214yes—
229#2404C2214yes—
230#2403C2214yes—
231#2401C2212yescomplemented
232#2401C2212yescomplemented
233C2×#397C2212yescomplemented
234#2388C2212yescomplemented
235#2388C2212yescomplemented
236C2×#394C2212yes—
237#2367C2212yescomplemented
238#2367C2212yescomplemented
239#2366C2212yescomplemented
240#2366C2212yescomplemented
241#2364C2214yescomplemented
242#2364C2214yescomplemented
243#2363C2212yescomplemented
244#2363C2212yescomplemented
245#2361C2212yescomplemented
246#2361C2212yescomplemented
247#2352C2212yescomplemented
248#2352C2212yescomplemented
249#2352C2212yescomplemented
250#2352C2212yescomplemented
251#2341C2212yescomplemented
252Q8×C22⋊C4C2212yescomplemented
253#2339C2214yes—
254#2339C2212yescomplemented
255D4×C22⋊C4C2214yes—
256D4×C22⋊C4C2212yescomplemented
257#2333C2214yescomplemented
258#2333C2214yescomplemented
259#2328C2212yescomplemented
260#2327C2212yescomplemented
261#2321C2214yescomplemented
262#2321C2214yescomplemented
263#2318C2214yescomplemented
264#2316C2211yescharacteristic, complemented
265#2311C2211yescharacteristic
266#2311C2211yescharacteristic
267#2311C2211yescharacteristic
268#2311C2211yescharacteristic
269#2311C2211yescharacteristic, complemented
270#2311C2212yescomplemented
271#2311C2212yescomplemented
272#2311C2211yescharacteristic, complemented
273#2309C2211yescharacteristic, complemented
274C4×#126C2212yescomplemented
275C4×#126C2212yescomplemented
276C4×#124C2212yescomplemented
277C4×#124C2212yescomplemented
278C4×#120C2214yescomplemented
279C4×#120C2212yescomplemented
280C4×#120C2212yescomplemented
281#2297C2211yescharacteristic
282#2297C2211yescharacteristic
283#2296C2211yescharacteristic, complemented
284#2296C2211yescharacteristic, complemented
285C2×#390C2211yescharacteristic, complemented
286C2×#389C2211yescharacteristic, complemented
287C2×#386C2212yes—
288#2285C2211yescharacteristic, complemented
289C2×#382C2211yescharacteristic, complemented
290#2280C2211yescharacteristic
291#2280C2211yescharacteristic
292#2280C2212yescomplemented
293C2×#381C2212yescomplemented
294C2×#380C2211yescharacteristic
295C2×#380C2212yescomplemented
296#2274C2211yescharacteristic, complemented
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C22⋊C4C2211yescharacteristic
299C22×#41—28no—
300C22×#41—44no—
301C22×#41—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2312yes—
306C22×#41C2312yes—
307C22×#41C2311yescharacteristic
308C22×#41C2311yescharacteristic
309C23×Q8C2311yescharacteristic
310C23×D4C2311yescharacteristic
311C23×D4C2312yes—
312C23×D4C2311yescharacteristic
313C23×D4C2312yes—
314C24×C4C2311yescharacteristic
315C24×C4C2312yes—
316C24×C4C2312yes—
317#544—44no—
318#535—28no—
319#535—44no—
320#535—44no—
321#532—28no—
322#532—44no—
323C2×C4⋊Q8C2311yescharacteristic
324C2×C4⋊Q8C2312yes—
325C2×C4⋊Q8C2312yes—
326C2×C4⋊Q8C2311yescharacteristic
327C2×#127C2311yescharacteristic
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2311yescharacteristic
331C2×#127C2312yes—
332C2×#126C2312yes—
333C2×#126C2312yes—
334C2×#125C2312yes—
335C2×#125C2312yes—
336C2×#124C2312yes—
337C2×#124C2311yescharacteristic
338C2×#124C2311yescharacteristic
339C2×#124C2312yes—
340C2×#124C2311yescharacteristic
341C2×#124C2311yescharacteristic
342C2×#124C2312yes—
343C2×#124C2314yes—
344C2×#124C2314yes—
345C2×#124C2314yes—
346#525—44no—
347C2×#123C2312yes—
348C2×#123C2314yes—
349C2×C22⋊Q8C2314yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2314yes—
353C2×#121—44no—
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2312yes—
358C2×#121C2314yes—
359C2×#121C2314yes—
360C2×#121C2312yes—
361C2×#121C2312yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2311yescharacteristic
369C2×#121C2311yescharacteristic
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#120C2314yes—
377C2×#120C2314yes—
378C2×#120C2314yes—
379C2×#120C2314yes—
380C2×#120C2312yes—
381C2×#120C2312yes—
382C2×#120C2312yes—
383C2×#120C2314yes—
384#520—44no—
385#520—44no—
386#520—44no—
387C2×C4×Q8C2312yes—
388C2×C4×Q8C2312yes—
389C2×C4×Q8C2312yes—
390C2×C4×D4—44no—
391C2×C4×D4C2312yes—
392C2×C4×D4C2312yes—
393C2×C4×D4C2312yes—
394C2×C4×D4C2312yes—
395C2×C4×D4C2314yes—
396C2×C4×D4C2314yes—
397C2×C4×D4C2314yes—
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2312yes—
401C2×C4×D4C2312yes—
402C2×C4×D4C2312yes—
403C2×C4×D4C2314yes—
404C2×C4×D4C2312yes—
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2314yes—
409C2×#117C2311yescharacteristic
410C2×#117C2311yescharacteristic
411C2×#117C2311yescharacteristic
412C2×#117C2311yescharacteristic
413C2×#117C2311yescharacteristic
414C2×#117C2312yes—
415C2×#117C2312yes—
416C2×#117C2312yes—
417C22×C4⋊C4C2311yescharacteristic
418C22×C4⋊C4C2311yescharacteristic
419C22×C4⋊C4C2311yescharacteristic
420C22×C4⋊C4C2312yes—
421C22×C4⋊C4C2312yes—
422C22×C4⋊C4C2312yes—
423C22×C4⋊C4C2312yes—
424C22×C22⋊C4C2312yes—
425C22×C22⋊C4C2311yescharacteristic
426C22×C22⋊C4C2312yes—
427C22×C22⋊C4C2311yescharacteristic
428C22×C22⋊C4C2314yes—
429C22×C22⋊C4C2312yes—
430C22×C22⋊C4C2312yes—
431C22×C22⋊C4C2312yes—
432C22×C42C2311yescharacteristic
433C22×C42C2311yescharacteristic
434#401C2312yes—
435#401C2314yes—
436#401C2312yes—
437#401C2314yes—
438#400C2314yes—
439#400C2314yes—
440#400C2314yes—
441#400C2312yes—
442#400C2314yes—
443#400C2314yes—
444#400C2312yes—
445#400C2312yes—
446#400C2314yes—
447#400C2312yes—
448#400C2312yes—
449#400C2312yes—
450#399C2314yes—
451#399C2314yes—
452#398C2314yes—
453#398C2314yes—
454#398C2314yes—
455#397C2312yes—
456#397C2314yes—
457#397C2314yes—
458#397C2314yes—
459#397C2314yes—
460#397C2314yes—
461#397C2314yes—
462#397C2314yes—
463#397C2314yes—
464#397C2314yes—
465#397C2314yes—
466#397C2312yes—
467#397C2312yes—
468#397C2314yes—
469#397C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2312yes—
475#397C2314yes—
476#397C2312yes—
477#397C2314yes—
478#396C2314yes—
479#396C2314yes—
480#396C2312yes—
481#396C2314yes—
482#396C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2312yes—
486#395C2314yes—
487#395C2312yes—
488#395C2312yes—
489#394C2314yes—
490#394C2314yes—
491#394C2314yes—
492#394C2314yes—
493#394C2314yes—
494#394C2314yes—
495#394C2314yes—
496#394C2314yes—
497#394C2312yes—
498#394C2314yes—
499#394C2314yes—
500#394C2314yes—
501#394C2314yes—
502#394C2314yes—
503#394C2314yes—
504#394C2314yes—
505#394C2314yes—
506#394C2314yes—
507#394C2314yes—
508#394C2314yes—
509#394C2314yes—
510#394C2314yes—
511#394C2312yes—
512#394C2312yes—
513#394C2312yes—
514#394C2312yes—
515#394C2312yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#393C2314yes—
520#393C2314yes—
521#393C2314yes—
522#393C2312yes—
523#393C2314yes—
524#393C2314yes—
525#393C2314yes—
526#393C2314yes—
527#393C2312yes—
528#392C2312yes—
529#392C2312yes—
530#392C2314yes—
531#392C2314yes—
532#392C2314yes—
533#392C2314yes—
534#392C2314yes—
535#392C2314yes—
536#392C2314yes—
537#392C2314yes—
538#392C2314yes—
539#392C2314yes—
540#392C2314yes—
541#392C2314yes—
542#392C2312yes—
543#392C2312yes—
544#392C2312yes—
545#392C2312yes—
546#391C2312yes—
547#391C2312yes—
548#391C2312yes—
549#391C2312yes—
550#391C2314yes—
551#391C2312yes—
552#391C2314yes—
553#391C2312yes—
554#391C2311yescharacteristic
555#391C2311yescharacteristic
556#391C2311yescharacteristic
557#391C2311yescharacteristic
558#391C2314yes—
559#391C2314yes—
560#390C2314yes—
561#390C2312yes—
562#390C2312yes—
563#390C2312yes—
564#390C2312yes—
565#390C2312yes—
566#390C2312yes—
567#390C2312yes—
568#390C2312yes—
569#390C2314yes—
570#390C2312yes—
571#390C2314yes—
572#390C2312yes—
573#390C2314yes—
574#390C2314yes—
575#390C2314yes—
576#390C2314yes—
577#390C2314yes—
578#390C2314yes—
579#390C2314yes—
580#390C2311yescharacteristic
581#390C2312yes—
582#390C2311yescharacteristic
583#390C2311yescharacteristic
584#390C2312yes—
585#390C2311yescharacteristic
586#390C2314yes—
587#390C2312yes—
588#390C2312yes—
589#389C2312yes—
590#389C2312yes—
591#389C2312yes—
592#389C2312yes—
593#389C2311yescharacteristic
594#389C2311yescharacteristic
595#389C2311yescharacteristic
596#389C2311yescharacteristic
597#389C2314yes—
598#389C2311yescharacteristic
599#389C2311yescharacteristic
600#389C2311yescharacteristic
601#389C2311yescharacteristic
602#389C2312yes—
603#389C2312yes—
604#389C2312yes—
605#389C2312yes—
606#388C2312yes—
607#388C2312yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2312yes—
612#388C2314yes—
613#388C2314yes—
614#388C2314yes—
615#388C2314yes—
616#388C2314yes—
617#388C2314yes—
618#388C2314yes—
619#388C2314yes—
620#388C2314yes—
621#388C2314yes—
622#388C2314yes—
623#388C2314yes—
624#388C2314yes—
625#388C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#387C2312yes—
639#387C2312yes—
640#387C2312yes—
641#387C2312yes—
642#387C2312yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#386C2312yes—
655#386C2314yes—
656#386C2314yes—
657#386C2314yes—
658#386C2314yes—
659#386C2314yes—
660#386C2314yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2312yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2312yes—
684#386C2312yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2312yes—
695#386C2312yes—
696#386C2312yes—
697#386C2312yes—
698#386C2314yes—
699#386C2312yes—
700#386C2312yes—
701#385C2314yes—
702#385C2314yes—
703#385C2312yes—
704#385C2312yes—
705#385C2312yes—
706#385C2312yes—
707#385C2314yes—
708#385C2314yes—
709#385C2312yes—
710#385C2312yes—
711#385C2314yes—
712#385C2312yes—
713#385C2312yes—
714#385C2312yes—
715#385C2312yes—
716#384C2311yescharacteristic
717#384C2311yescharacteristic
718#383C2312yes—
719#383C2312yes—
720#383C2314yes—
721#383C2314yes—
722#382C2314yes—
723#382C2312yes—
724#382C2312yes—
725#382C2312yes—
726#382C2312yes—
727#382C2311yescharacteristic
728#382C2311yescharacteristic
729#381C2314yes—
730#381C2314yes—
731#381C2314yes—
732#381C2314yes—
733#381C2312yes—
734#381C2314yes—
735#381C2314yes—
736#381C2312yes—
737#380C2312yes—
738#380C2311yescharacteristic
739#380C2311yescharacteristic
740#380C2312yes—
741#380C2312yes—
742#380C2312yes—
743#380C2312yes—
744#380C2311yescharacteristic
745#380C2312yes—
746#380C2312yes—
747#380C2314yes—
748#380C2312yes—
749#380C2312yes—
750#380C2312yes—
751#380C2312yes—
752#380C2312yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2311yescharacteristic
757#380C2311yescharacteristic
758#380C2314yes—
759#380C2314yes—
760#380C2314yes—
761#380C2312yes—
762#380C2314yes—
763#380C2312yes—
764#380C2311yescharacteristic
765#380C2312yes—
766#380C2314yes—
767#380C2311yescharacteristic
768#380C2311yescharacteristic
769#379C2314yes—
770#379C2312yes—
771#379C2312yes—
772#379C2314yes—
773#379C2312yes—
774#379C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2312yes—
787C4×C4⋊C4C2312yes—
788C4×C4⋊C4C2312yes—
789C4×C22⋊C4C2311yescharacteristic
790C4×C22⋊C4C2311yescharacteristic
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2314yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2314yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2314yes—
800C4×C22⋊C4C2314yes—
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2312yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2311yescharacteristic
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2311yescharacteristic
815C4×C22⋊C4C2311yescharacteristic
816#376C2312yes—
817C2×#95C2312yes—
818C2×#95C2314yes—
819C2×#95C2312yes—
820C2×#95C2312yes—
821C2×#95C2312yes—
822C2×#95C2311yescharacteristic
823C2×#95C2311yescharacteristic
824C43C2312yes—
825C25C2411yescharacteristic
826C25C2412yes—
827C25C2412yes—
828C2×#41—24no—
829C2×#41—28no—
830C2×#41—24no—
831C2×#41—24no—
832C2×#41—28no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—24no—
840C2×#41—44no—
841C2×#41—44no—
842C2×#41—44no—
843C2×#41—44no—
844C2×#41—42no—
845C2×#41—42no—
846C2×#41—42no—
847C2×#41—42no—
848C2×#41—464no—
849C2×#41#4118yes—
850C22×Q8—24no—
851C22×Q8—42no—
852C22×Q8—42no—
853C22×Q8C2411yescharacteristic
854C22×Q8C2411yescharacteristic
855C22×Q8C2411yescharacteristic
856C22×Q8C2412yes—
857C22×Q8C2414yes—
858C22×D4—28no—
859C22×D4—24no—
860C22×D4—24no—
861C22×D4—24no—
862C22×D4—24no—
863C22×D4—42no—
864C22×D4—42no—
865C22×D4—44no—
866C22×D4—44no—
867C22×D4—44no—
868C22×D4—44no—
869C22×D4—82no—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2411yescharacteristic
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2412yes—
877C22×D4C2411yescharacteristic
878C22×D4C2412yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2412yes—
882C22×D4C2412yes—
883C22×D4C2412yes—
884C22×D4C2414yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2412yes—
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C23×C4—28no—
896C23×C4—24no—
897C23×C4—24no—
898C23×C4—24no—
899C23×C4—44no—
900C23×C4—44no—
901C23×C4—44no—
902C23×C4—44no—
903C23×C4—82no—
904C23×C4C2411yescharacteristic
905C23×C4C2412yes—
906C23×C4C2411yescharacteristic
907C23×C4C2411yescharacteristic
908C23×C4C2412yes—
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2411yescharacteristic
912C23×C4C2412yes—
913C23×C4C2412yes—
914C23×C4C2411yescharacteristic
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2414yes—
920C23×C4C2412yes—
921C23×C4C2412yes—
922C23×C4C2412yes—
923C23×C4C2414yes—
924C23×C4C2414yes—
925C23×C4C2414yes—
926C23×C4C2414yes—
927C23×C4C2411yescharacteristic
928C4⋊Q8—24no—
929C4⋊Q8—44no—
930C4⋊Q8—44no—
931C4⋊Q8—42no—
932#127—24no—
933#127—28no—
934#127—42no—
935#127—44no—
936#127—44no—
937#126—44no—
938#126—44no—
939#125—44no—
940#125—44no—
941#124—24no—
942#124—28no—
943#124—24no—
944#124—42no—
945#124—42no—
946#124—44no—
947#124—44no—
948#124—84no—
949#124—84no—
950#124—84no—
951#123—44no—
952#123—84no—
953C22⋊Q8—48no—
954C22⋊Q8—42no—
955C22⋊Q8—42no—
956C22⋊Q8—84no—
957#121—28no—
958#121—28no—
959#121—28no—
960#121—28no—
961#121—48no—
962#121—44no—
963#121—44no—
964#121—44no—
965#121—44no—
966#121—48no—
967#121—42no—
968#121—42no—
969#121—44no—
970#121—44no—
971#121—44no—
972#121—44no—
973#121—44no—
974#121—44no—
975#121—84no—
976#121—84no—
977#121—84no—
978#121—84no—
979#120—216no—
980#120—44no—
981#120—44no—
982#120—48no—
983#120—44no—
984#120—48no—
985#120—48no—
986#120—84no—
987C4×Q8—44no—
988C4×Q8—44no—
989C4×Q8—44no—
990C4×D4—28no—
991C4×D4—28no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—44no—
998C4×D4—44no—
999C4×D4—44no—
1000C4×D4—44no—
1001C4×D4—44no—
1002C4×D4—44no—
1003C4×D4—48no—
1004C4×D4—48no—
1005C4×D4—48no—
1006C4×D4—48no—
1007C4×D4—84no—
1008#117—24no—
1009#117—24no—
1010#117—24no—
1011#117—24no—
1012#117—24no—
1013#117—44no—
1014#117—44no—
1015#117—44no—
1016C2×C4⋊C4—24no—
1017C2×C4⋊C4—24no—
1018C2×C4⋊C4—24no—
1019C2×C4⋊C4—44no—
1020C2×C4⋊C4—44no—
1021C2×C4⋊C4—44no—
1022C2×C4⋊C4—82no—
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C22⋊C4—42no—
1068C2×C22⋊C4—42no—
1069C2×C22⋊C4—44no—
1070C2×C22⋊C4—44no—
1071C2×C22⋊C4—84no—
1072C2×C22⋊C4—82no—
1073C2×C22⋊C4—82no—
1074C2×C22⋊C4—82no—
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2411yescharacteristic
1077C2×C22⋊C4C2411yescharacteristic
1078C2×C22⋊C4C2411yescharacteristic
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2414yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2411yescharacteristic
1109C2×C22⋊C4C2411yescharacteristic
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C42—24no—
1152C2×C42—24no—
1153C2×C42C2412yes—
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2412yes—
1157C2×C42C2412yes—
1158C2×C42C2411yescharacteristic
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2414yes—
1167C2×C42C2414yes—
1168C2×C42C2414yes—
1169C2×C42C2414yes—
1170C2×C42C2414yes—
1171C2×C42C2412yes—
1172C2×C42C2412yes—
1173C2×C42C2412yes—
1174C2×C42C2412yes—
1175#95C2414yes—
1176#95C2412yes—
1177#95C2411yescharacteristic
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2411yescharacteristic
1181#95C2414yes—
1182#95C2414yes—
1183#95C2411yescharacteristic
1184#95C2411yescharacteristic
1185#95C2411yescharacteristic
1186#95C2411yescharacteristic
1187#95C2414yes—
1188#95C2414yes—
1189#95C2414yes—
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2414yes—
1205#95C2414yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2412yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239C24—24no—
1240C24—22no—
1241C24—24no—
1242C24—22no—
1243C24—22no—
1244C24—22no—
1245C24—24no—
1246C24—24no—
1247C24—24no—
1248C24—41no—
1249C24—41no—
1250C24—42no—
1251C24—42no—
1252C24—42no—
1253C24—42no—
1254C24—42no—
1255C24—42no—
1256C24—42no—
1257C24—41no—
1258C24—42no—
1259C24—42no—
1260C24C2514yes—
1261C24C2511yescharacteristic
1262C24C2512yes—
1263C24C2512yes—
1264C24C2512yes—
1265C24C2511yescharacteristic
1266C24C2511yescharacteristic
1267#41—232no—
1268#41—432no—
1269#41—432no—
1270#41—416no—
1271#41—416no—
1272#41—416no—
1273#41—416no—
1274C2×Q8—22no—
1275C2×Q8—24no—
1276C2×Q8—22no—
1277C2×Q8—22no—
1278C2×Q8—22no—
1279C2×Q8—22no—
1280C2×Q8—22no—
1281C2×Q8—22no—
1282C2×Q8—22no—
1283C2×Q8—42no—
1284C2×Q8—42no—
1285C2×Q8—44no—
1286C2×Q8—44no—
1287C2×Q8—44no—
1288C2×Q8—416no—
1289C2×Q8C2×#4114yes—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—24no—
1299C2×D4—24no—
1300C2×D4—24no—
1301C2×D4—24no—
1302C2×D4—28no—
1303C2×D4—28no—
1304C2×D4—24no—
1305C2×D4—28no—
1306C2×D4—24no—
1307C2×D4—24no—
1308C2×D4—22no—
1309C2×D4—24no—
1310C2×D4—22no—
1311C2×D4—22no—
1312C2×D4—22no—
1313C2×D4—24no—
1314C2×D4—24no—
1315C2×D4—22no—
1316C2×D4—24no—
1317C2×D4—22no—
1318C2×D4—24no—
1319C2×D4—22no—
1320C2×D4—22no—
1321C2×D4—24no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—42no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—42no—
1331C2×D4—42no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—42no—
1337C2×D4—42no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—44no—
1348C2×D4—42no—
1349C2×D4—42no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—44no—
1353C2×D4—44no—
1354C2×D4—44no—
1355C2×D4—44no—
1356C2×D4—44no—
1357C2×D4—44no—
1358C2×D4—44no—
1359C2×D4—44no—
1360C2×D4—44no—
1361C2×D4—44no—
1362C2×D4—44no—
1363C2×D4—432no—
1364C2×D4—416no—
1365C2×D4—416no—
1366C2×D4—816no—
1367C2×D4C2×#4118yes—
1368C2×D4C2×#4114yes—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—22no—
1373C22×C4—22no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—22no—
1377C22×C4—22no—
1378C22×C4—22no—
1379C22×C4—24no—
1380C22×C4—24no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—22no—
1384C22×C4—24no—
1385C22×C4—22no—
1386C22×C4—24no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—24no—
1390C22×C4—24no—
1391C22×C4—24no—
1392C22×C4—22no—
1393C22×C4—22no—
1394C22×C4—24no—
1395C22×C4—22no—
1396C22×C4—22no—
1397C22×C4—22no—
1398C22×C4—22no—
1399C22×C4—24no—
1400C22×C4—22no—
1401C22×C4—22no—
1402C22×C4—22no—
1403C22×C4—28no—
1404C22×C4—42no—
1405C22×C4—42no—
1406C22×C4—42no—
1407C22×C4—42no—
1408C22×C4—42no—
1409C22×C4—42no—
1410C22×C4—41no—
1411C22×C4—41no—
1412C22×C4—41no—
1413C22×C4—41no—
1414C22×C4—41no—
1415C22×C4—41no—
1416C22×C4—42no—
1417C22×C4—42no—
1418C22×C4—42no—
1419C22×C4—41no—
1420C22×C4—42no—
1421C22×C4—44no—
1422C22×C4—44no—
1423C22×C4—44no—
1424C22×C4—44no—
1425C22×C4—42no—
1426C22×C4—44no—
1427C22×C4—42no—
1428C22×C4—44no—
1429C22×C4—44no—
1430C22×C4—44no—
1431C22×C4—44no—
1432C22×C4—44no—
1433C22×C4—44no—
1434C22×C4—44no—
1435C22×C4—44no—
1436C22×C4—44no—
1437C22×C4—432no—
1438C22×C4—416no—
1439C22×C4—816no—
1440C22×C4C2×#4118yes—
1441C22×C4C2×#4114yes—
1442C22×C4H(5,𝔽2)14yes—
1443C22×C4H(5,𝔽2)14yes—
1444C22×C4C2511yescharacteristic
1445C22×C4C2511yescharacteristic
1446C22×C4C2512yes—
1447C22×C4C2511yescharacteristic
1448C22×C4C2511yescharacteristic
1449C22×C4C2511yescharacteristic
1450C22×C4C2512yes—
1451C22×C4C2512yes—
1452C22×C4C2514yes—
1453C22×C4C2514yes—
1454C22×C4C2511yescharacteristic
1455C22×C4C2511yescharacteristic
1456C22×C4C2512yes—
1457C22×C4C2512yes—
1458C22×C4C2512yes—
1459C22×C4C2511yescharacteristic
1460C22×C4C2512yes—
1461C22×C4C2512yes—
1462C22×C4C2512yes—
1463C22×C4C2512yes—
1464C22×C4C2512yes—
1465C22×C4C2512yes—
1466C22×C4C2514yes—
1467C22×C4C2511yescharacteristic
1468C22×C4C2512yes—
1469C22×C4C2511yescharacteristic
1470C22×C4C2511yescharacteristic
1471C22×C4C2511yescharacteristic
1472C4⋊C4—22no—
1473C4⋊C4—22no—
1474C4⋊C4—24no—
1475C4⋊C4—24no—
1476C4⋊C4—24no—
1477C4⋊C4—24no—
1478C4⋊C4—24no—
1479C4⋊C4—24no—
1480C4⋊C4—24no—
1481C4⋊C4—24no—
1482C4⋊C4—22no—
1483C4⋊C4—22no—
1484C4⋊C4—22no—
1485C4⋊C4—22no—
1486C4⋊C4—22no—
1487C4⋊C4—22no—
1488C4⋊C4—22no—
1489C4⋊C4—22no—
1490C4⋊C4—24no—
1491C4⋊C4—24no—
1492C4⋊C4—44no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4—42no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
1500C4⋊C4—42no—
1501C4⋊C4—42no—
1502C4⋊C4—44no—
1503C4⋊C4—42no—
1504C4⋊C4—42no—
1505C4⋊C4—42no—
1506C4⋊C4—44no—
1507C4⋊C4—44no—
1508C4⋊C4—44no—
1509C4⋊C4—44no—
1510C4⋊C4—42no—
1511C4⋊C4—42no—
1512C4⋊C4—42no—
1513C4⋊C4—42no—
1514C4⋊C4—42no—
1515C4⋊C4—42no—
1516C22⋊C4—24no—
1517C22⋊C4—24no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—24no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—24no—
1528C22⋊C4—24no—
1529C22⋊C4—28no—
1530C22⋊C4—28no—
1531C22⋊C4—22no—
1532C22⋊C4—22no—
1533C22⋊C4—24no—
1534C22⋊C4—41no—
1535C22⋊C4—41no—
1536C22⋊C4—41no—
1537C22⋊C4—41no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—44no—
1542C22⋊C4—42no—
1543C22⋊C4—44no—
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—44no—
1554C22⋊C4—44no—
1555C22⋊C4—42no—
1556C22⋊C4—42no—
1557C22⋊C4—42no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—42no—
1564C22⋊C4—44no—
1565C22⋊C4—42no—
1566C22⋊C4—44no—
1567C22⋊C4—42no—
1568C22⋊C4—42no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—42no—
1575C22⋊C4—44no—
1576C22⋊C4—44no—
1577C22⋊C4—44no—
1578C22⋊C4—44no—
1579C22⋊C4—44no—
1580C22⋊C4—42no—
1581C22⋊C4—44no—
1582C22⋊C4—44no—
1583C22⋊C4—44no—
1584C22⋊C4—44no—
1585C22⋊C4—42no—
1586C22⋊C4—44no—
1587C22⋊C4—42no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C42—22no—
1593C42—22no—
1594C42—22no—
1595C42—22no—
1596C42—24no—
1597C42—22no—
1598C42—22no—
1599C42—22no—
1600C42—22no—
1601C42—24no—
1602C42—24no—
1603C42—24no—
1604C42—24no—
1605C42—44no—
1606C42—44no—
1607C42—44no—
1608C42—44no—
1609C42—44no—
1610C42—42no—
1611C42—42no—
1612C42—42no—
1613C42—42no—
1614C23—21no—
1615C23—21no—
1616C23—21no—
1617C23—21no—
1618C23—21no—
1619C23—21no—
1620C23—22no—
1621C23—22no—
1622C23—21no—
1623C23—21no—
1624C23—22no—
1625C23—22no—
1626C23—21no—
1627C23—22no—
1628C23—21no—
1629C23—22no—
1630C23—22no—
1631C23—24no—
1632C23—21no—
1633C23—22no—
1634C23—22no—
1635C23—24no—
1636C23—24no—
1637C23—21no—
1638C23—22no—
1639C23—22no—
1640C23—21no—
1641C23—22no—
1642C23—21no—
1643C23—22no—
1644C23—22no—
1645C23—22no—
1646C23—21no—
1647C23—24no—
1648C23—24no—
1649C23—22no—
1650C23—21no—
1651C23—22no—
1652C23—22no—
1653C23—22no—
1654C23—24no—
1655C23—24no—
1656C23—22no—
1657C23—21no—
1658C23—44no—
1659C23—44no—
1660C23—44no—
1661C23—48no—
1662C23—48no—
1663C23—48no—
1664C23—48no—
1665C23—44no—
1666C23—48no—
1667C23—82no—
1668C23—84no—
1669C23—84no—
1670C23—84no—
1671C23—82no—
1672C23—84no—
1673C23—82no—
1674C23—84no—
1675C23—84no—
1676C23—84no—
1677C23—84no—
1678C23—84no—
1679C23C22×#4114yes—
1680C23C22×#4112yes—
1681C23C2×H(5,𝔽2)12yes—
1682C23C2×H(5,𝔽2)12yes—
1683C23#58512yes—
1684C23C2611yescharacteristic
1685Q8—28no—
1686Q8—48no—
1687Q8—44no—
1688Q8—44no—
1689Q8—164no—
1690D4—216no—
1691D4—28no—
1692D4—48no—
1693D4—48no—
1694D4—48no—
1695D4—48no—
1696D4—48no—
1697D4—48no—
1698D4—48no—
1699D4—44no—
1700D4—44no—
1701D4—84no—
1702D4—84no—
1703D4—88no—
1704D4—84no—
1705D4—88no—
1706D4—84no—
1707D4—88no—
1708D4—84no—
1709D4—84no—
1710D4—88no—
1711D4—164no—
1712D4—164no—
1713D4—164no—
1714D4—164no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—21no—
1719C2×C4—216no—
1720C2×C4—21no—
1721C2×C4—21no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—22no—
1739C2×C4—22no—
1740C2×C4—22no—
1741C2×C4—22no—
1742C2×C4—24no—
1743C2×C4—24no—
1744C2×C4—24no—
1745C2×C4—22no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—22no—
1756C2×C4—22no—
1757C2×C4—22no—
1758C2×C4—22no—
1759C2×C4—22no—
1760C2×C4—24no—
1761C2×C4—21no—
1762C2×C4—21no—
1763C2×C4—21no—
1764C2×C4—22no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—22no—
1768C2×C4—22no—
1769C2×C4—24no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—22no—
1774C2×C4—22no—
1775C2×C4—22no—
1776C2×C4—22no—
1777C2×C4—24no—
1778C2×C4—22no—
1779C2×C4—22no—
1780C2×C4—24no—
1781C2×C4—22no—
1782C2×C4—24no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—22no—
1786C2×C4—22no—
1787C2×C4—21no—
1788C2×C4—24no—
1789C2×C4—21no—
1790C2×C4—22no—
1791C2×C4—21no—
1792C2×C4—44no—
1793C2×C4—48no—
1794C2×C4—48no—
1795C2×C4—48no—
1796C2×C4—44no—
1797C2×C4—44no—
1798C2×C4—44no—
1799C2×C4—44no—
1800C2×C4—44no—
1801C2×C4—48no—
1802C2×C4—48no—
1803C2×C4—88no—
1804C2×C4—82no—
1805C2×C4—82no—
1806C2×C4—84no—
1807C2×C4—82no—
1808C2×C4—84no—
1809C2×C4—84no—
1810C2×C4—88no—
1811C2×C4—164no—
1812C2×C4—164no—
1813C2×C4—164no—
1814C2×C4#538116yes—
1815C2×C4C22×#4114yes—
1816C2×C4C22×#4112yes—
1817C2×C4C22×#4112yes—
1818C2×C4C2×H(5,𝔽2)12yes—
1819C2×C4C2×H(5,𝔽2)12yes—
1820C2×C4C2×H(5,𝔽2)12yes—
1821C2×C4C2×H(5,𝔽2)12yes—
1822C2×C4#58512yes—
1823C22—22no—
1824C22—22no—
1825C22—22no—
1826C22—22no—
1827C22—22no—
1828C22—22no—
1829C22—24no—
1830C22—24no—
1831C22—22no—
1832C22—22no—
1833C22—22no—
1834C22—24no—
1835C22—41no—
1836C22—42no—
1837C22—42no—
1838C22—41no—
1839C22—42no—
1840C22—42no—
1841C22—41no—
1842C22—41no—
1843C22—42no—
1844C22—44no—
1845C22—41no—
1846C22—42no—
1847C22—42no—
1848C22—44no—
1849C22—42no—
1850C22—41no—
1851C22—42no—
1852C22—44no—
1853C22—42no—
1854C22—41no—
1855C22—41no—
1856C22—42no—
1857C22—44no—
1858C22—42no—
1859C22—44no—
1860C22—42no—
1861C22—41no—
1862C22—44no—
1863C22—42no—
1864C22—42no—
1865C22—42no—
1866C22—41no—
1867C22—42no—
1868C22—41no—
1869C22—42no—
1870C22—44no—
1871C22—88no—
1872C22—816no—
1873C22—816no—
1874C22C2×#53814yes—
1875C22C23×#4111yescharacteristic
1876C22C22×H(5,𝔽2)11yescharacteristic
1877C22C22×H(5,𝔽2)11yescharacteristic
1878C22C2×#58511yescharacteristic
1879C22C2×#58511yescharacteristic
1880C22H(7,𝔽2)11yescharacteristic
1881C22H(7,𝔽2)11yescharacteristic
1882C4—22no—
1883C4—24no—
1884C4—41no—
1885C4—41no—
1886C4—42no—
1887C4—41no—
1888C4—41no—
1889C4—42no—
1890C4—42no—
1891C4—42no—
1892C4—42no—
1893C4—44no—
1894C4—42no—
1895C4—42no—
1896C4—42no—
1897C4—41no—
1898C4—41no—
1899C4—44no—
1900C4—44no—
1901C4—41no—
1902C4—42no—
1903C4—42no—
1904C4—41no—
1905C4—41no—
1906C4—42no—
1907C4—42no—
1908C4C2×#53814yes—
1909C4C2×#53814yes—
1910C2—24no—
1911C2—44no—
1912C2—42no—
1913C2—82no—
1914C2—84no—
1915C2—82no—
1916C2—81no—
1917C2C22×#53811yescharacteristic
1918C2#6283011yescharacteristic
1919C2#6288011yescharacteristic
1920C2#6292411yescharacteristic
1921C2#6292411yescharacteristic
1922C2#6299411yescharacteristic
1923C2#6300811yescharacteristic
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. #42989C2semidirect
2. #42945C2semidirect
3. #42903C2semidirect
4. #42847C2semidirect
5. #42595C2semidirect
6. #42589C2semidirect
7. #42463C2semidirect
8. #42462C2semidirect
9. #41468C2semidirect
10. #40780C2semidirect
11. #40122C2semidirect
12. #40049C2semidirect
13. #39933C2semidirect
14. #39910C2semidirect
15. #39733C2semidirect
16. #39248C2semidirect
17. #39009C2semidirect
18. #38938C2semidirect
19. #38540C2semidirect
20. #37900C2semidirect
21. #35629C2semidirect
22. #35575C2semidirect
23. #35563C2semidirect
24. #35542C2semidirect
25. #35533C2semidirect
26. #35517C2semidirect
27. #35264C2semidirect
28. #35250C2semidirect
29. #35165C2semidirect
30. #34814C2semidirect
31. #34738C2semidirect
32. C2×#2420C2semidirect
33. #34265C2semidirect
34. #34208C2semidirect
35. #34175C2semidirect
37. C2×#544C22semidirect
40. C2×#535C22semidirect
47. C2×#520C22semidirect
48. C22×C4×D4C22semidirect
49. #2861C22semidirect
50. #2858C22semidirect
53. #2847C22semidirect
54. #2831C22semidirect
55. #2829C22semidirect
56. #2825C22semidirect
57. #2825C22semidirect
58. #2808C22semidirect
59. #2803C22semidirect
60. #2797C22semidirect
61. #2786C22semidirect
62. #2784C22semidirect
63. #2781C22semidirect
64. #2778C22semidirect
65. #2778C22semidirect
66. #2761C22semidirect
67. #2760C22semidirect
68. #2759C22semidirect
69. #2756C22semidirect
70. #2756C22semidirect
71. #2756C22semidirect
72. #2751C22semidirect
73. #2750C22semidirect
74. #2749C22semidirect
75. #2749C22semidirect
76. #2745C22semidirect
77. #2743C22semidirect
78. #2733C22semidirect
79. #2730C22semidirect
80. #2714C22semidirect
81. #2703C22semidirect
82. #2688C22semidirect
83. #2688C22semidirect
84. #2686C22semidirect
85. #2685C22semidirect
86. #2684C22semidirect
87. #2678C22semidirect
88. #2676C22semidirect
89. #2668C22semidirect
90. #2665C22semidirect
91. #2661C22semidirect
92. #2653C22semidirect
93. #2653C22semidirect
94. #2649C22semidirect
95. #2648C22semidirect
96. #2648C22semidirect
97. #2648C22semidirect
98. #2641C22semidirect
99. #2640C22semidirect
100. #2639C22semidirect
101. #2635C22semidirect
102. #2631C22semidirect
103. #2617C22semidirect
104. #2617C22semidirect
107. #2578C22semidirect
108. #2576C22semidirect
109. #2572C22semidirect
110. #2564C22semidirect
111. #2563C22semidirect
112. #2562C22semidirect
113. #2562C22semidirect
114. #2559C22semidirect
115. #2557C22semidirect
116. #2555C22semidirect
117. #2548C22semidirect
118. #2547C22semidirect
119. #2547C22semidirect
120. #2545C22semidirect
121. #2544C22semidirect
122. #2544C22semidirect
123. #2544C22semidirect
124. #2541C22semidirect
125. #2541C22semidirect
126. #2537C22semidirect
127. #2537C22semidirect
128. #2535C22semidirect
129. #2535C22semidirect
130. #2534C22semidirect
131. #2514C22semidirect
132. #2514C22semidirect
133. #2513C22semidirect
134. #2513C22semidirect
135. #2510C22semidirect
136. #2510C22semidirect
137. #2510C22semidirect
138. #2497C22semidirect
139. #2497C22semidirect
140. #2496C22semidirect
141. #2496C22semidirect
142. #2495C22semidirect
143. #2495C22semidirect
144. #2495C22semidirect
145. #2495C22semidirect
146. #2494C22semidirect
147. #2494C22semidirect
148. #2494C22semidirect
149. #2494C22semidirect
150. #2493C22semidirect
151. #2493C22semidirect
152. #2492C22semidirect
153. #2491C22semidirect
154. #2491C22semidirect
155. #2491C22semidirect
156. #2490C22semidirect
157. #2490C22semidirect
158. #2490C22semidirect
159. #2489C22semidirect
160. #2488C22semidirect
161. #2487C22semidirect
162. #2486C22semidirect
163. #2485C22semidirect
164. #2485C22semidirect
168. #2472C22semidirect
169. #2472C22semidirect
170. #2472C22semidirect
171. #2467C22semidirect
172. #2459C22semidirect
173. #2454C22semidirect
174. #2453C22semidirect
175. #2452C22semidirect
176. #2451C22semidirect
177. #2448C22semidirect
178. #2447C22semidirect
179. #2446C22semidirect
180. #2445C22semidirect
181. #2444C22semidirect
182. #2444C22semidirect
183. #2443C22semidirect
184. #2442C22semidirect
185. #2441C22semidirect
186. #2440C22semidirect
187. #2439C22semidirect
189. #2436C22semidirect
190. #2435C22semidirect
191. #2434C22semidirect
193. #2433C22semidirect
194. #2432C22semidirect
195. #2432C22semidirect
198. #2431C22semidirect
199. #2431C22semidirect
203. #2428C22semidirect
205. #2426C22semidirect
206. #2424C22semidirect
207. #2424C22semidirect
208. #2424C22semidirect
213. #2420C22semidirect
214. #2420C22semidirect
215. #2420C22semidirect
216. #2420C22semidirect
217. #2417C22semidirect
219. #2416C22semidirect
220. #2416C22semidirect
221. #2416C22semidirect
223. #2414C22semidirect
224. #2414C22semidirect
225. #2414C22semidirect
231. #2401C22semidirect
232. #2401C22semidirect
233. C2×#397C22semidirect
234. #2388C22semidirect
235. #2388C22semidirect
237. #2367C22semidirect
238. #2367C22semidirect
239. #2366C22semidirect
240. #2366C22semidirect
241. #2364C22semidirect
242. #2364C22semidirect
243. #2363C22semidirect
244. #2363C22semidirect
245. #2361C22semidirect
246. #2361C22semidirect
247. #2352C22semidirect
248. #2352C22semidirect
249. #2352C22semidirect
250. #2352C22semidirect
251. #2341C22semidirect
252. Q8×C22⋊C4C22semidirect
254. #2339C22semidirect
256. D4×C22⋊C4C22semidirect
257. #2333C22semidirect
258. #2333C22semidirect
259. #2328C22semidirect
260. #2327C22semidirect
261. #2321C22semidirect
262. #2321C22semidirect
263. #2318C22semidirect
264. #2316C22semidirect
269. #2311C22semidirect
270. #2311C22semidirect
271. #2311C22semidirect
272. #2311C22semidirect
273. #2309C22semidirect
274. C4×#126C22semidirect
275. C4×#126C22semidirect
276. C4×#124C22semidirect
277. C4×#124C22semidirect
278. C4×#120C22semidirect
279. C4×#120C22semidirect
280. C4×#120C22semidirect
283. #2296C22semidirect
284. #2296C22semidirect
285. C2×#390C22semidirect
286. C2×#389C22semidirect
288. #2285C22semidirect
289. C2×#382C22semidirect
292. #2280C22semidirect
293. C2×#381C22semidirect
295. C2×#380C22semidirect
296. #2274C22semidirect
297. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#429892
#429452
#429032
#428472
#425952
#425892
#424632
#424622
#414682
#407802
#401222
#400492
#399332
#399102
#397332
#392482
#390092
#389382
#385402
#379002
#356292
#355752
#355632
#355422
#355332
#355172
#352642
#352502
#351652
#348142
#347382
C2×#24202
#342652
#342082
#341752