Finite Group Databasebeta

← #8464357

Subgroups — #8464357

Order 512.

5428 conjugacy classes of subgroups.

The subgroup lattice has 1896 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59412C211yesmaximal, characteristic, complemented
2#59212C211yesmaximal, characteristic, complemented
3#59211C211yesmaximal, characteristic, complemented
4#54920C214yesmaximal, complemented
5#53696C214yesmaximal, complemented
6#53525C214yesmaximal, complemented
7#53064C212yesmaximal, complemented
8#52974C212yesmaximal, complemented
9#50757C214yesmaximal, complemented
10#45701C212yesmaximal, complemented
11#45655C212yesmaximal, complemented
12#45408C212yesmaximal, complemented
13#45093C212yesmaximal, complemented
14#42977C212yesmaximal, complemented
15#42945C212yesmaximal, complemented
16#42942C212yesmaximal, complemented
17#42581C212yesmaximal, complemented
18#40116C212yesmaximal, complemented
19#39795C212yesmaximal, complemented
20#39342C211yesmaximal, characteristic, complemented
21#39341C211yesmaximal, characteristic, complemented
22#39335C212yesmaximal, complemented
23#39042C212yesmaximal, complemented
24#38975C211yesmaximal, characteristic, complemented
25#38910C211yesmaximal, characteristic, complemented
26#37621C211yesmaximal, characteristic, complemented
27#37332C212yesmaximal, complemented
28#37273C212yesmaximal, complemented
29#36576C211yesmaximal, characteristic, complemented
30#36464C211yesmaximal, characteristic, complemented
31#36211C211yesmaximal, characteristic, complemented
32#35197C211yesmaximal, characteristic, complemented
33#35178C211yesmaximal, characteristic, complemented
34#34925C211yesmaximal, characteristic, complemented
35#34708C211yesmaximal, characteristic, complemented
36C2×#550C2211yescharacteristic
37C2×#548C2212yescomplemented
38C2×#546C2212yes—
39C2×D42C2211yescharacteristic
40C2×#537C2212yescomplemented
41C2×#536C2212yescomplemented
42C2×#535C2212yes—
43C2×#532C2211yescharacteristic
44C2×#532C2212yescomplemented
45C2×#532C2211yescharacteristic, complemented
46C2×#529C2211yescharacteristic
47C22×C4×Q8C2211yescharacteristic, complemented
48#2859C2211yescharacteristic, complemented
49#2856C2211yescharacteristic
50#2856C2211yescharacteristic
51#2856C2212yescomplemented
52#2854C2212yes—
53#2854C2212yes—
54#2854C2212yescomplemented
55#2854C2212yescomplemented
56#2850C2212yescomplemented
57#2838C2214yescomplemented
58#2837C2214yescomplemented
59#2831C2214yescomplemented
60#2828C2214yescomplemented
61#2828C2214yescomplemented
62#2825C2214yescomplemented
63#2814C2214yescomplemented
64#2813C2214yescomplemented
65#2803C2214yescomplemented
66#2803C2214yescomplemented
67#2797C2214yescomplemented
68#2787C2214yescomplemented
69#2779C2214yescomplemented
70#2778C2214yescomplemented
71#2778C2214yescomplemented
72#2761C2214yescomplemented
73#2756C2214yescomplemented
74#2756C2214yescomplemented
75#2756C2214yescomplemented
76#2756C2214yescomplemented
77#2752C2214yescomplemented
78#2749C2214yescomplemented
79#2737C2214yescomplemented
80#2735C2214yescomplemented
81#2733C2214yescomplemented
82#2731C2214yescomplemented
83#2707C2214yescomplemented
84#2703C2214yescomplemented
85#2703C2214yescomplemented
86#2699C2214yescomplemented
87#2699C2214yescomplemented
88#2697C2214yescomplemented
89#2688C2214yescomplemented
90#2685C2214yes—
91#2684C2214yescomplemented
92#2678C2214yes—
93#2678C2214yes—
94#2678C2214yescomplemented
95#2678C2214yescomplemented
96#2678C2214yescomplemented
97#2678C2214yescomplemented
98#2678C2214yescomplemented
99#2677C2214yescomplemented
100#2676C2214yescomplemented
101#2676C2214yescomplemented
102#2675C2214yescomplemented
103#2674C2214yescomplemented
104#2673C2214yescomplemented
105#2673C2214yescomplemented
106#2673C2214yescomplemented
107#2673C2214yescomplemented
108#2671C2214yescomplemented
109#2670C2214yes—
110#2670C2214yescomplemented
111#2669C2214yes—
112#2669C2214yescomplemented
113#2668C2214yescomplemented
114#2662C2214yescomplemented
115#2661C2214yescomplemented
116#2661C2214yescomplemented
117#2661C2214yescomplemented
118#2648C2214yescomplemented
119#2648C2214yescomplemented
120#2644C2212yes—
121#2628C2212yescomplemented
122#2624C2212yes—
123#2619C2212yescomplemented
124#2618C2214yescomplemented
125#2617C2214yescomplemented
126#2616C2212yescomplemented
127#2615C2212yes—
128#2615C2212yes—
129#2615C2212yescomplemented
130#2597C2214yescomplemented
131#2595C2214yescomplemented
132#2593C2214yescomplemented
133#2572C2214yescomplemented
134#2571C2211yescharacteristic, complemented
135#2570C2212yescomplemented
136#2562C2212yescomplemented
137#2561C2214yescomplemented
138#2558C2214yescomplemented
139#2555C2212yescomplemented
140#2555C2214yescomplemented
141#2555C2212yescomplemented
142#2551C2211yescharacteristic, complemented
143#2548C2212yes—
144#2548C2211yescharacteristic
145#2548C2212yescomplemented
146#2546C2212yescomplemented
147#2545C2214yescomplemented
148#2541C2211yescharacteristic
149#2541C2211yescharacteristic
150#2541C2211yescharacteristic
151#2541C2212yes—
152#2541C2212yescomplemented
153#2540C2212yes—
154#2540C2212yes—
155#2538C2211yescharacteristic
156#2538C2211yescharacteristic
157#2538C2211yescharacteristic, complemented
158#2538C2212yescomplemented
159#2538C2211yescharacteristic, complemented
160#2538C2211yescharacteristic, complemented
161#2537C2211yescharacteristic
162#2537C2211yescharacteristic
163#2537C2211yescharacteristic, complemented
164#2536C2212yescomplemented
165#2536C2212yescomplemented
166#2536C2212yescomplemented
167#2535C2212yes—
168#2535C2212yescomplemented
169#2535C2212yescomplemented
170#2525C2214yescomplemented
171#2518C2214yescomplemented
172#2513C2212yes—
173#2513C2212yescomplemented
174#2513C2212yescomplemented
175#2513C2212yescomplemented
176#2507C2212yescomplemented
177#2504C2212yes—
178#2500C2212yes—
179#2497C2212yescomplemented
180#2495C2212yescomplemented
181#2495C2212yescomplemented
182#2494C2212yescomplemented
183#2494C2212yescomplemented
184#2491C2212yes—
185#2491C2211yescharacteristic
186#2491C2214yescomplemented
187#2491C2214yescomplemented
188#2491C2212yescomplemented
189#2491C2211yescharacteristic, complemented
190#2490C2212yes—
191#2490C2212yescomplemented
192#2490C2212yescomplemented
193#2486C2212yescomplemented
194#2485C2212yescomplemented
195#2485C2212yescomplemented
196#2485C2212yescomplemented
197#2481C2212yescomplemented
198#2472C2214yescomplemented
199#2469C2212yescomplemented
200#2464C2214yescomplemented
201#2461C2214yescomplemented
202#2458C2212yescomplemented
203#2457C2214yescomplemented
204#2453C2211yescharacteristic, complemented
205#2452C2212yescomplemented
206#2448C2211yescharacteristic
207#2445C2212yes—
208#2445C2214yescomplemented
209#2445C2212yescomplemented
210#2443C2212yescomplemented
211#2442C2211yescharacteristic, complemented
212#2436C2211yescharacteristic
213#2435C2212yes—
214#2433C2212yes—
215#2433C2212yes—
216#2428C2212yes—
217#2428C2211yescharacteristic
218#2428C2212yescomplemented
219#2428C2212yescomplemented
220#2428C2212yescomplemented
221#2428C2211yescharacteristic, complemented
222#2427C2212yescomplemented
223#2426C2212yes—
224#2426C2211yescharacteristic
225#2426C2214yescomplemented
226#2426C2212yescomplemented
227#2424C2214yes—
228#2422C2212yes—
229#2422C2212yescomplemented
230#2421C2211yescharacteristic, complemented
231#2420C2212yescomplemented
232#2420C2212yescomplemented
233#2420C2212yescomplemented
234#2418C2214yescomplemented
235#2417C2212yescomplemented
236#2416C2211yescharacteristic
237#2416C2212yescomplemented
238#2416C2214yescomplemented
239#2416C2212yescomplemented
240#2415C2212yescomplemented
241#2414C2212yes—
242#2414C2212yes—
243#2414C2212yes—
244#2414C2212yescomplemented
245#2414C2212yescomplemented
246#2414C2212yescomplemented
247#2414C2212yescomplemented
248#2409C2211yescharacteristic, complemented
249#2408C2212yes—
250#2408C2212yes—
251#2408C2212yes—
252#2408C2212yes—
253#2408C2212yes—
254#2407C2212yes—
255#2407C2212yescomplemented
256#2398C2212yescomplemented
257#2396C2212yescomplemented
258#2388C2212yescomplemented
259#2388C2212yescomplemented
260#2375C2214yescomplemented
261#2363C2212yescomplemented
262#2363C2212yescomplemented
263#2363C2212yescomplemented
264#2363C2212yescomplemented
265#2362C2212yescomplemented
266#2357C2212yescomplemented
267#2354C2211yescharacteristic
268#2354C2211yescharacteristic
269#2352C2212yescomplemented
270Q8×C4⋊C4C2211yescharacteristic, complemented
271D4×C4⋊C4C2211yescharacteristic, complemented
272#2347C2212yescomplemented
273#2347C2212yescomplemented
274#2341C2212yescomplemented
275D4×C22⋊C4C2212yes—
276#2335C2214yescomplemented
277#2328C2212yescomplemented
278#2319C2212yescomplemented
279#2319C2212yescomplemented
280#2311C2212yescomplemented
281#2309C2212yes—
282C4×#127C2211yescharacteristic
283C4×#127C2211yescharacteristic
284C4×#124C2211yescharacteristic
285C4×C22⋊Q8C2211yescharacteristic, complemented
286C4×C22⋊Q8C2212yescomplemented
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic, complemented
290C4×#121C2212yescomplemented
291C4×#121C2212yescomplemented
292C4×#121C2212yescomplemented
293#2295C2211yescharacteristic, complemented
294#2290C2212yescomplemented
295#2285C2211yescharacteristic, complemented
296#2285C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×Q8C2311yescharacteristic
303C23×D4C2312yes—
304C23×D4C2312yes—
305#550—44no—
306#548—48no—
307#546—48no—
308D42—44no—
309#537—48no—
310#536—48no—
311#535—48no—
312#532—44no—
313#532—44no—
314#532—48no—
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2314yes—
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2312yes—
319C2×#127C2311yescharacteristic
320C2×#127C2311yescharacteristic
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2311yescharacteristic
324C2×#127C2314yes—
325C2×#127C2312yes—
326C2×#127C2311yescharacteristic
327#529—44no—
328C2×#126C2312yes—
329C2×#125C2311yescharacteristic
330C2×#125C2312yes—
331C2×#124C2311yescharacteristic
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#124C2314yes—
337C2×#124C2314yes—
338C2×#124C2311yescharacteristic
339C2×#124C2312yes—
340C2×#124C2312yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2312yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2314yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2314yes—
357C2×#121C2312yes—
358C2×#121C2311yescharacteristic
359C2×#121C2312yes—
360C2×#121C2311yescharacteristic
361C2×#121C2312yes—
362C2×#121C2311yescharacteristic
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2311yescharacteristic
368C2×#121C2314yes—
369C2×#121C2311yescharacteristic
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2314yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2311yescharacteristic
380C2×#121C2312yes—
381C2×#121C2311yescharacteristic
382C2×#121C2311yescharacteristic
383C2×#121C2312yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2312yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#120C2314yes—
397C2×#120C2314yes—
398C2×#120C2314yes—
399C2×#120C2314yes—
400C2×#120C2314yes—
401C2×#120C2314yes—
402C2×#120C2314yes—
403C2×C4×Q8—44no—
404C2×C4×Q8C2311yescharacteristic
405C2×C4×Q8C2311yescharacteristic
406C2×C4×Q8C2311yescharacteristic
407C2×C4×Q8C2312yes—
408C2×C4×Q8C2312yes—
409C2×C4×Q8C2311yescharacteristic
410C2×C4×Q8C2312yes—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2311yescharacteristic
413C2×C4×D4C2312yes—
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2312yes—
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2311yescharacteristic
432C2×C4×D4C2314yes—
433C2×C4×D4C2311yescharacteristic
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C2×#117C2312yes—
438C2×#117C2312yes—
439C22×C4⋊C4C2311yescharacteristic
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2312yes—
442C22×C22⋊C4C2314yes—
443C22×C42C2311yescharacteristic
444C22×C42C2311yescharacteristic
445C22×C42C2312yes—
446C22×C42C2312yes—
447#401C2314yes—
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2312yes—
452#400C2312yes—
453#400C2314yes—
454#400C2312yes—
455#399C2312yes—
456#399C2314yes—
457#399C2314yes—
458#398C2314yes—
459#398C2312yes—
460#398C2314yes—
461#398C2314yes—
462#398C2314yes—
463#398C2314yes—
464#398C2312yes—
465#397C2314yes—
466#397C2314yes—
467#397C2312yes—
468#397C2314yes—
469#397C2314yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2314yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2312yes—
482#397C2314yes—
483#396C2314yes—
484#396C2314yes—
485#396C2314yes—
486#396C2314yes—
487#396C2314yes—
488#396C2314yes—
489#396C2314yes—
490#396C2314yes—
491#396C2312yes—
492#396C2312yes—
493#396C2314yes—
494#396C2314yes—
495#395C2312yes—
496#395C2312yes—
497#395C2314yes—
498#395C2312yes—
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#394C2314yes—
512#394C2314yes—
513#394C2314yes—
514#394C2314yes—
515#394C2314yes—
516#394C2314yes—
517#394C2312yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2312yes—
523#394C2312yes—
524#394C2312yes—
525#394C2312yes—
526#394C2312yes—
527#394C2312yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2312yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#393C2312yes—
539#393C2314yes—
540#393C2312yes—
541#393C2314yes—
542#393C2314yes—
543#393C2312yes—
544#393C2312yes—
545#393C2312yes—
546#392C2312yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2312yes—
551#392C2312yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2312yes—
563#392C2312yes—
564#392C2312yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#391C2314yes—
574#391C2311yescharacteristic
575#391C2311yescharacteristic
576#391C2311yescharacteristic
577#391C2311yescharacteristic
578#390C2311yescharacteristic
579#390C2311yescharacteristic
580#390C2312yes—
581#390C2312yes—
582#390C2312yes—
583#390C2312yes—
584#390C2312yes—
585#390C2311yescharacteristic
586#390C2314yes—
587#390C2312yes—
588#390C2314yes—
589#390C2312yes—
590#390C2312yes—
591#390C2314yes—
592#390C2314yes—
593#390C2312yes—
594#390C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2314yes—
598#390C2314yes—
599#390C2312yes—
600#390C2314yes—
601#390C2312yes—
602#390C2312yes—
603#390C2314yes—
604#390C2311yescharacteristic
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2311yescharacteristic
613#390C2314yes—
614#390C2314yes—
615#390C2314yes—
616#390C2312yes—
617#390C2314yes—
618#390C2312yes—
619#390C2314yes—
620#390C2311yescharacteristic
621#390C2314yes—
622#389C2311yescharacteristic
623#389C2312yes—
624#389C2312yes—
625#389C2312yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2312yes—
630#389C2314yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2311yescharacteristic
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2314yes—
640#389C2312yes—
641#389C2311yescharacteristic
642#389C2311yescharacteristic
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#388C2312yes—
646#388C2314yes—
647#388C2314yes—
648#388C2314yes—
649#388C2314yes—
650#388C2314yes—
651#388C2314yes—
652#388C2312yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2314yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2312yes—
667#388C2314yes—
668#388C2312yes—
669#388C2312yes—
670#388C2314yes—
671#388C2314yes—
672#388C2312yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2312yes—
684#388C2314yes—
685#388C2312yes—
686#388C2312yes—
687#388C2314yes—
688#388C2312yes—
689#388C2312yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2312yes—
696#387C2312yes—
697#387C2314yes—
698#387C2312yes—
699#387C2312yes—
700#387C2312yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2312yes—
721#386C2312yes—
722#386C2312yes—
723#386C2314yes—
724#386C2312yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#386C2312yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2312yes—
734#385C2314yes—
735#385C2312yes—
736#385C2312yes—
737#384C2311yescharacteristic
738#384C2311yescharacteristic
739#384C2312yes—
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#383C2314yes—
743#383C2314yes—
744#382C2312yes—
745#382C2312yes—
746#382C2312yes—
747#382C2312yes—
748#382C2312yes—
749#382C2311yescharacteristic
750#381C2314yes—
751#381C2314yes—
752#381C2314yes—
753#380C2312yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2312yes—
759#380C2312yes—
760#380C2314yes—
761#380C2314yes—
762#380C2312yes—
763#380C2312yes—
764#380C2314yes—
765#380C2312yes—
766#380C2311yescharacteristic
767#380C2312yes—
768#380C2312yes—
769#380C2311yescharacteristic
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2312yes—
776#380C2311yescharacteristic
777#380C2312yes—
778#379C2314yes—
779#379C2314yes—
780#379C2314yes—
781#379C2314yes—
782#379C2314yes—
783C4×C4⋊C4C2312yes—
784C4×C4⋊C4C2312yes—
785C4×C4⋊C4C2312yes—
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2311yescharacteristic
789C4×C4⋊C4C2314yes—
790C4×C4⋊C4C2314yes—
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2311yescharacteristic
800C4×C4⋊C4C2311yescharacteristic
801C4×C22⋊C4C2314yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2312yes—
808C4×C22⋊C4C2312yes—
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2311yescharacteristic
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2311yescharacteristic
820#376C2312yes—
821C43C2311yescharacteristic
822C25C2414yes—
823C2×#41—28no—
824C2×#41—28no—
825C2×#41—44no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C22×Q8—24no—
833C22×Q8—24no—
834C22×Q8—42no—
835C22×Q8C2411yescharacteristic
836C22×Q8C2412yes—
837C22×Q8C2411yescharacteristic
838C22×Q8C2412yes—
839C22×Q8C2412yes—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4C2411yescharacteristic
847C22×D4C2411yescharacteristic
848C22×D4C2412yes—
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2411yescharacteristic
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2412yes—
862C22×D4C2412yes—
863C22×D4C2412yes—
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C22×D4C2414yes—
873C22×D4C2414yes—
874C22×D4C2414yes—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2412yes—
878C23×C4C2412yes—
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2412yes—
882C23×C4C2411yescharacteristic
883C23×C4C2411yescharacteristic
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2414yes—
888C23×C4C2411yescharacteristic
889C23×C4C2411yescharacteristic
890C23×C4C2412yes—
891C23×C4C2414yes—
892C23×C4C2412yes—
893C23×C4C2414yes—
894C23×C4C2412yes—
895C4⋊Q8—42no—
896C4⋊Q8—42no—
897C4⋊Q8—44no—
898C4⋊Q8—48no—
899#127—24no—
900#127—42no—
901#127—44no—
902#127—42no—
903#127—42no—
904#127—44no—
905#127—44no—
906#127—48no—
907#126—44no—
908#125—42no—
909#125—82no—
910#124—24no—
911#124—44no—
912#124—44no—
913#124—42no—
914#124—44no—
915#124—44no—
916#124—44no—
917#124—48no—
918#124—48no—
919#124—48no—
920#123—48no—
921#123—44no—
922#123—48no—
923#123—48no—
924#123—48no—
925#123—84no—
926#123—84no—
927C22⋊Q8—28no—
928C22⋊Q8—28no—
929C22⋊Q8—24no—
930C22⋊Q8—48no—
931C22⋊Q8—48no—
932C22⋊Q8—42no—
933C22⋊Q8—44no—
934C22⋊Q8—44no—
935C22⋊Q8—44no—
936#121—24no—
937#121—28no—
938#121—44no—
939#121—44no—
940#121—48no—
941#121—44no—
942#121—44no—
943#121—44no—
944#121—48no—
945#121—48no—
946#121—48no—
947#121—48no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—44no—
954#121—42no—
955#121—42no—
956#121—44no—
957#121—42no—
958#121—42no—
959#121—42no—
960#121—42no—
961#121—42no—
962#121—44no—
963#121—44no—
964#121—44no—
965#121—44no—
966#121—44no—
967#121—44no—
968#121—44no—
969#121—44no—
970#121—48no—
971#121—82no—
972#121—84no—
973#121—82no—
974#121—84no—
975#120—48no—
976#120—48no—
977#120—48no—
978#120—48no—
979#120—48no—
980#120—84no—
981#120—84no—
982C4×Q8—24no—
983C4×Q8—24no—
984C4×Q8—44no—
985C4×Q8—44no—
986C4×Q8—42no—
987C4×Q8—42no—
988C4×Q8—44no—
989C4×D4—24no—
990C4×D4—28no—
991C4×D4—24no—
992C4×D4—24no—
993C4×D4—24no—
994C4×D4—24no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—42no—
998C4×D4—42no—
999C4×D4—42no—
1000C4×D4—44no—
1001C4×D4—44no—
1002C4×D4—44no—
1003C4×D4—44no—
1004C4×D4—42no—
1005C4×D4—44no—
1006C4×D4—44no—
1007C4×D4—44no—
1008C4×D4—44no—
1009C4×D4—44no—
1010C4×D4—44no—
1011C4×D4—48no—
1012#117—44no—
1013#117—44no—
1014#117—44no—
1015#117—44no—
1016#117—44no—
1017C2×C4⋊C4—42no—
1018C2×C4⋊C4—44no—
1019C2×C4⋊C4—44no—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2411yescharacteristic
1039C2×C4⋊C4C2411yescharacteristic
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2414yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2411yescharacteristic
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C22⋊C4—48no—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2414yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2411yescharacteristic
1081C2×C22⋊C4C2411yescharacteristic
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2414yes—
1092C2×C22⋊C4C2414yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2412yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2411yescharacteristic
1113C2×C22⋊C4C2411yescharacteristic
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2411yescharacteristic
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2411yescharacteristic
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
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⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2414yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C42—24no—
1154C2×C42—24no—
1155C2×C42—44no—
1156C2×C42—44no—
1157C2×C42C2411yescharacteristic
1158C2×C42C2412yes—
1159C2×C42C2411yescharacteristic
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2412yes—
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2412yes—
1168C2×C42C2412yes—
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2411yescharacteristic
1172C2×C42C2414yes—
1173C2×C42C2414yes—
1174C2×C42C2414yes—
1175C2×C42C2414yes—
1176C2×C42C2414yes—
1177C2×C42C2412yes—
1178C2×C42C2412yes—
1179C2×C42C2412yes—
1180C2×C42C2411yescharacteristic
1181C2×C42C2412yes—
1182C2×C42C2411yescharacteristic
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2411yescharacteristic
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2411yescharacteristic
1193#95C2411yescharacteristic
1194#95C2411yescharacteristic
1195#95C2412yes—
1196#95C2411yescharacteristic
1197#95C2411yescharacteristic
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2414yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2414yes—
1207#95C2414yes—
1208#95C2412yes—
1209#95C2414yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2414yes—
1213#95C2414yes—
1214#95C2414yes—
1215#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
1218#95C2414yes—
1219#95C2412yes—
1220#95C2414yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233C24—44no—
1234C24—44no—
1235C24—44no—
1236C24—44no—
1237C24—44no—
1238C24—44no—
1239C24—44no—
1240C24C2512yes—
1241C24C2512yes—
1242C24C2514yes—
1243C24C2512yes—
1244C24C2511yescharacteristic
1245C24C2512yes—
1246C24C2511yescharacteristic
1247#41—816no—
1248#41—816no—
1249#41—816no—
1250C2×Q8—22no—
1251C2×Q8—22no—
1252C2×Q8—22no—
1253C2×Q8—22no—
1254C2×Q8—24no—
1255C2×Q8—22no—
1256C2×Q8—24no—
1257C2×Q8—24no—
1258C2×Q8—42no—
1259C2×Q8—42no—
1260C2×Q8—42no—
1261C2×Q8—42no—
1262C2×Q8—42no—
1263C2×Q8—42no—
1264C2×Q8—416no—
1265C2×Q8H(5,𝔽2)14yes—
1266C2×D4—22no—
1267C2×D4—24no—
1268C2×D4—28no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—22no—
1273C2×D4—22no—
1274C2×D4—22no—
1275C2×D4—22no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—22no—
1279C2×D4—24no—
1280C2×D4—22no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—28no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—24no—
1289C2×D4—22no—
1290C2×D4—22no—
1291C2×D4—24no—
1292C2×D4—22no—
1293C2×D4—22no—
1294C2×D4—24no—
1295C2×D4—41no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—42no—
1299C2×D4—42no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—42no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—42no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
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—44no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—42no—
1336C2×D4—44no—
1337C2×D4—42no—
1338C2×D4—42no—
1339C2×D4—42no—
1340C2×D4—42no—
1341C2×D4—42no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—44no—
1349C2×D4—44no—
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—816no—
1363C2×D4—816no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—24no—
1367C22×C4—22no—
1368C22×C4—22no—
1369C22×C4—22no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—24no—
1373C22×C4—24no—
1374C22×C4—22no—
1375C22×C4—24no—
1376C22×C4—24no—
1377C22×C4—24no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—22no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—22no—
1384C22×C4—24no—
1385C22×C4—22no—
1386C22×C4—22no—
1387C22×C4—22no—
1388C22×C4—24no—
1389C22×C4—22no—
1390C22×C4—22no—
1391C22×C4—28no—
1392C22×C4—24no—
1393C22×C4—42no—
1394C22×C4—42no—
1395C22×C4—42no—
1396C22×C4—42no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—41no—
1400C22×C4—41no—
1401C22×C4—42no—
1402C22×C4—42no—
1403C22×C4—42no—
1404C22×C4—41no—
1405C22×C4—41no—
1406C22×C4—42no—
1407C22×C4—42no—
1408C22×C4—44no—
1409C22×C4—44no—
1410C22×C4—44no—
1411C22×C4—44no—
1412C22×C4—44no—
1413C22×C4—44no—
1414C22×C4H(5,𝔽2)14yes—
1415C22×C4C2511yescharacteristic
1416C22×C4C2512yes—
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2514yes—
1420C22×C4C2511yescharacteristic
1421C22×C4C2511yescharacteristic
1422C22×C4C2512yes—
1423C22×C4C2512yes—
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C22×C4C2512yes—
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C22×C4C2514yes—
1430C22×C4C2512yes—
1431C22×C4C2514yes—
1432C22×C4C2511yescharacteristic
1433C22×C4C2512yes—
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2512yes—
1437C22×C4C2511yescharacteristic
1438C22×C4C2511yescharacteristic
1439C22×C4C2512yes—
1440C22×C4C2511yescharacteristic
1441C22×C4C2511yescharacteristic
1442C22×C4C2511yescharacteristic
1443C4⋊C4—22no—
1444C4⋊C4—24no—
1445C4⋊C4—24no—
1446C4⋊C4—22no—
1447C4⋊C4—22no—
1448C4⋊C4—24no—
1449C4⋊C4—22no—
1450C4⋊C4—24no—
1451C4⋊C4—24no—
1452C4⋊C4—22no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—22no—
1456C4⋊C4—22no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—28no—
1460C4⋊C4—28no—
1461C4⋊C4—22no—
1462C4⋊C4—24no—
1463C4⋊C4—24no—
1464C4⋊C4—24no—
1465C4⋊C4—22no—
1466C4⋊C4—22no—
1467C4⋊C4—24no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—44no—
1472C4⋊C4—42no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C4⋊C4—41no—
1476C4⋊C4—42no—
1477C4⋊C4—42no—
1478C4⋊C4—42no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—44no—
1482C4⋊C4—42no—
1483C4⋊C4—42no—
1484C4⋊C4—44no—
1485C4⋊C4—42no—
1486C4⋊C4—44no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—44no—
1492C4⋊C4—42no—
1493C4⋊C4—44no—
1494C4⋊C4—44no—
1495C22⋊C4—24no—
1496C22⋊C4—22no—
1497C22⋊C4—24no—
1498C22⋊C4—28no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—24no—
1502C22⋊C4—22no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—28no—
1508C22⋊C4—24no—
1509C22⋊C4—28no—
1510C22⋊C4—28no—
1511C22⋊C4—24no—
1512C22⋊C4—42no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—42no—
1518C22⋊C4—44no—
1519C22⋊C4—42no—
1520C22⋊C4—44no—
1521C22⋊C4—42no—
1522C22⋊C4—41no—
1523C22⋊C4—41no—
1524C22⋊C4—44no—
1525C22⋊C4—41no—
1526C22⋊C4—42no—
1527C22⋊C4—41no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—42no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—42no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
1542C22⋊C4—44no—
1543C22⋊C4—42no—
1544C22⋊C4—44no—
1545C22⋊C4—44no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—42no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—44no—
1559C22⋊C4—42no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—44no—
1564C22⋊C4—44no—
1565C22⋊C4—44no—
1566C22⋊C4—44no—
1567C22⋊C4—44no—
1568C22⋊C4—44no—
1569C22⋊C4—44no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4—42no—
1575C42—22no—
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—22no—
1580C42—22no—
1581C42—22no—
1582C42—24no—
1583C42—24no—
1584C42—24no—
1585C42—22no—
1586C42—22no—
1587C42—22no—
1588C42—22no—
1589C42—24no—
1590C42—42no—
1591C42—42no—
1592C42—42no—
1593C42—42no—
1594C42—44no—
1595C42—44no—
1596C42—44no—
1597C42—44no—
1598C42—44no—
1599C42—41no—
1600C42H(5,𝔽2)14yes—
1601C23—21no—
1602C23—21no—
1603C23—21no—
1604C23—21no—
1605C23—21no—
1606C23—21no—
1607C23—22no—
1608C23—22no—
1609C23—22no—
1610C23—21no—
1611C23—22no—
1612C23—22no—
1613C23—24no—
1614C23—22no—
1615C23—21no—
1616C23—22no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—24no—
1621C23—21no—
1622C23—24no—
1623C23—22no—
1624C23—22no—
1625C23—24no—
1626C23—22no—
1627C23—21no—
1628C23—22no—
1629C23—22no—
1630C23—21no—
1631C23—22no—
1632C23—22no—
1633C23—22no—
1634C23—22no—
1635C23—24no—
1636C23—21no—
1637C23—22no—
1638C23—22no—
1639C23—24no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—22no—
1645C23—24no—
1646C23—22no—
1647C23—22no—
1648C23—21no—
1649C23—88no—
1650C23—88no—
1651C23—88no—
1652C23—164no—
1653C23—164no—
1654C23—164no—
1655C23—164no—
1656C23C2×H(5,𝔽2)12yes—
1657C23C2611yescharacteristic
1658Q8—28no—
1659Q8—48no—
1660Q8—44no—
1661Q8—84no—
1662Q8—84no—
1663D4—44no—
1664D4—44no—
1665D4—48no—
1666D4—44no—
1667D4—44no—
1668D4—48no—
1669D4—44no—
1670D4—84no—
1671D4—84no—
1672D4—84no—
1673D4—88no—
1674D4—84no—
1675D4—84no—
1676D4—88no—
1677D4—84no—
1678D4—84no—
1679D4—84no—
1680D4—84no—
1681D4—84no—
1682D4—84no—
1683D4—84no—
1684D4—88no—
1685D4—88no—
1686D4—84no—
1687D4—84no—
1688D4—84no—
1689D4—164no—
1690D4—164no—
1691D4—164no—
1692D4—164no—
1693D4—164no—
1694D4—164no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—21no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—28no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—21no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—21no—
1716C2×C4—21no—
1717C2×C4—22no—
1718C2×C4—24no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—24no—
1722C2×C4—24no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—21no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—21no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—24no—
1746C2×C4—24no—
1747C2×C4—24no—
1748C2×C4—22no—
1749C2×C4—24no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—21no—
1756C2×C4—21no—
1757C2×C4—22no—
1758C2×C4—21no—
1759C2×C4—22no—
1760C2×C4—21no—
1761C2×C4—21no—
1762C2×C4—22no—
1763C2×C4—21no—
1764C2×C4—24no—
1765C2×C4—21no—
1766C2×C4—22no—
1767C2×C4—24no—
1768C2×C4—22no—
1769C2×C4—22no—
1770C2×C4—48no—
1771C2×C4—48no—
1772C2×C4—48no—
1773C2×C4—44no—
1774C2×C4—48no—
1775C2×C4—44no—
1776C2×C4—44no—
1777C2×C4—48no—
1778C2×C4—84no—
1779C2×C4—82no—
1780C2×C4—82no—
1781C2×C4—88no—
1782C2×C4—84no—
1783C2×C4—84no—
1784C2×C4—164no—
1785C2×C4—164no—
1786C2×C4C2×H(5,𝔽2)12yes—
1787C2×C4C2×H(5,𝔽2)12yes—
1788C2×C4C2×H(5,𝔽2)14yes—
1789C2×C4C2×H(5,𝔽2)12yes—
1790C2×C4C2×H(5,𝔽2)12yes—
1791C2×C4C2×H(5,𝔽2)12yes—
1792C2×C4C2×H(5,𝔽2)12yes—
1793C2×C4#58512yes—
1794C2×C4#58512yes—
1795C2×C4#58512yes—
1796C22—22no—
1797C22—22no—
1798C22—22no—
1799C22—41no—
1800C22—41no—
1801C22—41no—
1802C22—41no—
1803C22—42no—
1804C22—42no—
1805C22—41no—
1806C22—42no—
1807C22—44no—
1808C22—42no—
1809C22—41no—
1810C22—42no—
1811C22—42no—
1812C22—44no—
1813C22—42no—
1814C22—42no—
1815C22—44no—
1816C22—42no—
1817C22—42no—
1818C22—42no—
1819C22—41no—
1820C22—42no—
1821C22—42no—
1822C22—41no—
1823C22—42no—
1824C22—42no—
1825C22—42no—
1826C22—44no—
1827C22—42no—
1828C22—42no—
1829C22—41no—
1830C22—42no—
1831C22—44no—
1832C22—42no—
1833C22—41no—
1834C22—42no—
1835C22—42no—
1836C22—44no—
1837C22—42no—
1838C22—42no—
1839C22—42no—
1840C22—41no—
1841C22—42no—
1842C22—44no—
1843C22—42no—
1844C22—42no—
1845C22—1616no—
1846C22C22×H(5,𝔽2)11yescharacteristic
1847C22C22×H(5,𝔽2)11yescharacteristic
1848C22C22×H(5,𝔽2)11yescharacteristic
1849C22C2×#58511yescharacteristic
1850C22C2×#58511yescharacteristic
1851C22C2×#58511yescharacteristic
1852C22H(7,𝔽2)11yescharacteristic
1853C4—22no—
1854C4—24no—
1855C4—22no—
1856C4—22no—
1857C4—42no—
1858C4—42no—
1859C4—41no—
1860C4—42no—
1861C4—42no—
1862C4—41no—
1863C4—41no—
1864C4—42no—
1865C4—41no—
1866C4—44no—
1867C4—42no—
1868C4—42no—
1869C4—42no—
1870C4—44no—
1871C4—41no—
1872C4—42no—
1873C4—41no—
1874C4—41no—
1875C4—42no—
1876C4—41no—
1877C4—42no—
1878C4—44no—
1879C4#353714yes—
1880C4#355114yes—
1881C2—42no—
1882C2—81no—
1883C2—82no—
1884C2—82no—
1885C2—84no—
1886C2—82no—
1887C2—82no—
1888C2C2×#353711yescharacteristic
1889C2C2×#355111yescharacteristic
1890C2#6283011yescharacteristic
1891C2#6292311yescharacteristic
1892C2#6293011yescharacteristic
1893C2#6295511yescharacteristic
1894C2#6303511yescharacteristic
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. #59412C2semidirect
2. #59212C2semidirect
3. #59211C2semidirect
4. #54920C2semidirect
5. #53696C2semidirect
6. #53525C2semidirect
7. #53064C2semidirect
8. #52974C2semidirect
9. #50757C2semidirect
10. #45701C2semidirect
11. #45655C2semidirect
12. #45408C2semidirect
13. #45093C2semidirect
14. #42977C2semidirect
15. #42945C2semidirect
16. #42942C2semidirect
17. #42581C2semidirect
18. #40116C2semidirect
19. #39795C2semidirect
20. #39342C2semidirect
21. #39341C2semidirect
22. #39335C2semidirect
23. #39042C2semidirect
24. #38975C2semidirect
25. #38910C2semidirect
26. #37621C2semidirect
27. #37332C2semidirect
28. #37273C2semidirect
29. #36576C2semidirect
30. #36464C2semidirect
31. #36211C2semidirect
32. #35197C2semidirect
33. #35178C2semidirect
34. #34925C2semidirect
35. #34708C2semidirect
37. C2×#548C22semidirect
40. C2×#537C22semidirect
41. C2×#536C22semidirect
44. C2×#532C22semidirect
45. C2×#532C22semidirect
47. C22×C4×Q8C22semidirect
48. #2859C22semidirect
51. #2856C22semidirect
54. #2854C22semidirect
55. #2854C22semidirect
56. #2850C22semidirect
57. #2838C22semidirect
58. #2837C22semidirect
59. #2831C22semidirect
60. #2828C22semidirect
61. #2828C22semidirect
62. #2825C22semidirect
63. #2814C22semidirect
64. #2813C22semidirect
65. #2803C22semidirect
66. #2803C22semidirect
67. #2797C22semidirect
68. #2787C22semidirect
69. #2779C22semidirect
70. #2778C22semidirect
71. #2778C22semidirect
72. #2761C22semidirect
73. #2756C22semidirect
74. #2756C22semidirect
75. #2756C22semidirect
76. #2756C22semidirect
77. #2752C22semidirect
78. #2749C22semidirect
79. #2737C22semidirect
80. #2735C22semidirect
81. #2733C22semidirect
82. #2731C22semidirect
83. #2707C22semidirect
84. #2703C22semidirect
85. #2703C22semidirect
86. #2699C22semidirect
87. #2699C22semidirect
88. #2697C22semidirect
89. #2688C22semidirect
91. #2684C22semidirect
94. #2678C22semidirect
95. #2678C22semidirect
96. #2678C22semidirect
97. #2678C22semidirect
98. #2678C22semidirect
99. #2677C22semidirect
100. #2676C22semidirect
101. #2676C22semidirect
102. #2675C22semidirect
103. #2674C22semidirect
104. #2673C22semidirect
105. #2673C22semidirect
106. #2673C22semidirect
107. #2673C22semidirect
108. #2671C22semidirect
110. #2670C22semidirect
112. #2669C22semidirect
113. #2668C22semidirect
114. #2662C22semidirect
115. #2661C22semidirect
116. #2661C22semidirect
117. #2661C22semidirect
118. #2648C22semidirect
119. #2648C22semidirect
121. #2628C22semidirect
123. #2619C22semidirect
124. #2618C22semidirect
125. #2617C22semidirect
126. #2616C22semidirect
129. #2615C22semidirect
130. #2597C22semidirect
131. #2595C22semidirect
132. #2593C22semidirect
133. #2572C22semidirect
134. #2571C22semidirect
135. #2570C22semidirect
136. #2562C22semidirect
137. #2561C22semidirect
138. #2558C22semidirect
139. #2555C22semidirect
140. #2555C22semidirect
141. #2555C22semidirect
142. #2551C22semidirect
145. #2548C22semidirect
146. #2546C22semidirect
147. #2545C22semidirect
152. #2541C22semidirect
157. #2538C22semidirect
158. #2538C22semidirect
159. #2538C22semidirect
160. #2538C22semidirect
163. #2537C22semidirect
164. #2536C22semidirect
165. #2536C22semidirect
166. #2536C22semidirect
168. #2535C22semidirect
169. #2535C22semidirect
170. #2525C22semidirect
171. #2518C22semidirect
173. #2513C22semidirect
174. #2513C22semidirect
175. #2513C22semidirect
176. #2507C22semidirect
179. #2497C22semidirect
180. #2495C22semidirect
181. #2495C22semidirect
182. #2494C22semidirect
183. #2494C22semidirect
186. #2491C22semidirect
187. #2491C22semidirect
188. #2491C22semidirect
189. #2491C22semidirect
191. #2490C22semidirect
192. #2490C22semidirect
193. #2486C22semidirect
194. #2485C22semidirect
195. #2485C22semidirect
196. #2485C22semidirect
197. #2481C22semidirect
198. #2472C22semidirect
199. #2469C22semidirect
200. #2464C22semidirect
201. #2461C22semidirect
202. #2458C22semidirect
203. #2457C22semidirect
204. #2453C22semidirect
205. #2452C22semidirect
208. #2445C22semidirect
209. #2445C22semidirect
210. #2443C22semidirect
211. #2442C22semidirect
218. #2428C22semidirect
219. #2428C22semidirect
220. #2428C22semidirect
221. #2428C22semidirect
222. #2427C22semidirect
225. #2426C22semidirect
226. #2426C22semidirect
229. #2422C22semidirect
230. #2421C22semidirect
231. #2420C22semidirect
232. #2420C22semidirect
233. #2420C22semidirect
234. #2418C22semidirect
235. #2417C22semidirect
237. #2416C22semidirect
238. #2416C22semidirect
239. #2416C22semidirect
240. #2415C22semidirect
244. #2414C22semidirect
245. #2414C22semidirect
246. #2414C22semidirect
247. #2414C22semidirect
248. #2409C22semidirect
255. #2407C22semidirect
256. #2398C22semidirect
257. #2396C22semidirect
258. #2388C22semidirect
259. #2388C22semidirect
260. #2375C22semidirect
261. #2363C22semidirect
262. #2363C22semidirect
263. #2363C22semidirect
264. #2363C22semidirect
265. #2362C22semidirect
266. #2357C22semidirect
269. #2352C22semidirect
270. Q8×C4⋊C4C22semidirect
271. D4×C4⋊C4C22semidirect
272. #2347C22semidirect
273. #2347C22semidirect
274. #2341C22semidirect
276. #2335C22semidirect
277. #2328C22semidirect
278. #2319C22semidirect
279. #2319C22semidirect
280. #2311C22semidirect
285. C4×C22⋊Q8C22semidirect
286. C4×C22⋊Q8C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. C4×#121C22semidirect
293. #2295C22semidirect
294. #2290C22semidirect
295. #2285C22semidirect
296. #2285C22semidirect
297. C42×D4C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#594122
#592122
#592112
#549202
#536962
#535252
#530642
#529742
#507572
#457012
#456552
#454082
#450932
#429772
#429452
#429422
#425812
#401162
#397952
#393422
#393412
#393352
#390422
#389752
#389102
#376212
#373322
#372732
#365762
#364642
#362112
#351972
#351782
#349252
#347082