Finite Group Databasebeta

← #8424398

Subgroups — #8424398

Order 512.

5598 conjugacy classes of subgroups.

The subgroup lattice has 1877 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59815C211yesmaximal, characteristic, complemented
2#59454C212yesmaximal, complemented
3#59305C211yesmaximal, characteristic, complemented
4#59218C211yesmaximal, characteristic, complemented
5#59002C212yesmaximal, complemented
6#55058C214yesmaximal, complemented
7#54939C214yesmaximal, complemented
8#53099C212yesmaximal, complemented
9#53095C212yesmaximal, complemented
10#53044C212yesmaximal, complemented
11#52973C212yesmaximal, complemented
12#52343C214yesmaximal, complemented
13#42916C212yesmaximal, complemented
14#42894C212yesmaximal, complemented
15#42556C212yesmaximal, complemented
16#42524C212yesmaximal, complemented
17#40515C214yesmaximal, complemented
18#39725C211yesmaximal, characteristic, complemented
19#39383C212yesmaximal, complemented
20#39349C212yesmaximal, complemented
21#39341C211yesmaximal, characteristic, complemented
22#39192C211yesmaximal, characteristic, complemented
23#38975C211yesmaximal, characteristic, complemented
24#38123C212yesmaximal, complemented
25#37649C212yesmaximal, complemented
26#37640C211yesmaximal, characteristic, complemented
27#37625C211yesmaximal, characteristic, complemented
28#37493C212yesmaximal, complemented
29#37444C212yesmaximal, complemented
30#36576C211yesmaximal, characteristic, complemented
31#36182C211yesmaximal, characteristic, complemented
32#36101C211yesmaximal, characteristic, complemented
33C2×#2538C211yesmaximal, characteristic, complemented
34#34691C211yesmaximal, characteristic, complemented
35#34681C211yesmaximal, characteristic, complemented
36C2×#553C2212yes—
37C2×#550C2211yescharacteristic
38C2×#550C2211yescharacteristic, complemented
39C2×#548C2212yes—
40C2×#547C2212yescomplemented
41C2×#538C2214yes—
42C2×#537C2212yescomplemented
43C2×#533C2211yescharacteristic, complemented
44C2×#532C2211yescharacteristic
45C2×#525C2212yes—
46C2×#525C2212yes—
47C22×C22⋊Q8C2212yes—
48C22×C4×Q8C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic
50#2859C2211yescharacteristic, complemented
51#2856C2211yescharacteristic
52#2856C2212yes—
53#2856C2211yescharacteristic, complemented
54#2847C2212yes—
55#2830C2214yescomplemented
56#2829C2214yes—
57#2829C2214yescomplemented
58#2829C2214yescomplemented
59#2829C2214yescomplemented
60#2828C2214yes—
61#2827C2214yescomplemented
62#2826C2214yescomplemented
63#2823C2214yescomplemented
64#2820C2214yescomplemented
65#2814C2214yescomplemented
66#2814C2214yescomplemented
67#2813C2214yescomplemented
68#2813C2214yescomplemented
69#2803C2214yescomplemented
70#2800C2214yescomplemented
71#2790C2214yescomplemented
72#2790C2214yescomplemented
73#2786C2214yescomplemented
74#2783C2214yescomplemented
75#2780C2214yescomplemented
76#2772C2214yescomplemented
77#2761C2214yescomplemented
78#2742C2214yescomplemented
79#2733C2214yes—
80#2725C2214yescomplemented
81#2715C2214yescomplemented
82#2715C2214yescomplemented
83#2714C2214yes—
84#2714C2214yes—
85#2711C2214yescomplemented
86#2708C2214yescomplemented
87#2707C2214yescomplemented
88#2705C2214yescomplemented
89#2701C2214yescomplemented
90#2701C2214yescomplemented
91#2695C2214yescomplemented
92#2691C2214yescomplemented
93#2686C2214yescomplemented
94#2683C2214yescomplemented
95#2682C2214yes—
96#2682C2214yescomplemented
97#2682C2214yescomplemented
98#2681C2214yescomplemented
99#2680C2214yescomplemented
100#2676C2214yescomplemented
101#2676C2214yescomplemented
102#2676C2214yescomplemented
103#2675C2214yescomplemented
104#2672C2214yescomplemented
105#2672C2214yescomplemented
106#2662C2214yescomplemented
107#2661C2214yes—
108#2648C2214yes—
109#2644C2212yes—
110#2644C2212yescomplemented
111#2641C2212yes—
112#2630C2214yescomplemented
113#2630C2214yescomplemented
114#2630C2214yescomplemented
115#2625C2212yescomplemented
116#2624C2212yes—
117#2624C2212yescomplemented
118#2624C2212yescomplemented
119#2622C2214yes—
120#2620C2214yescomplemented
121#2620C2212yescomplemented
122#2619C2212yes—
123#2618C2214yescomplemented
124#2617C2214yes—
125#2617C2214yes—
126#2616C2212yescomplemented
127#2616C2212yescomplemented
128#2615C2212yescomplemented
129#2601C2214yescomplemented
130#2589C2214yescomplemented
131#2583C2214yescomplemented
132#2580C2212yescomplemented
133#2579C2214yes—
134#2567C2212yescomplemented
135#2566C2212yescomplemented
136#2566C2212yescomplemented
137#2564C2214yes—
138#2552C2211yescharacteristic, complemented
139#2548C2212yes—
140#2548C2212yes—
141#2548C2212yescomplemented
142#2548C2211yescharacteristic, complemented
143#2547C2212yescomplemented
144#2543C2214yes—
145#2542C2212yescomplemented
146#2541C2211yescharacteristic
147#2541C2212yes—
148#2541C2212yes—
149#2540C2212yescomplemented
150#2538C2211yescharacteristic
151#2538C2211yescharacteristic
152#2538C2214yes—
153#2538C2211yescharacteristic
154#2538C2212yes—
155#2538C2211yescharacteristic
156#2538C2212yes—
157#2538C2211yescharacteristic
158#2538C2212yes—
159#2538C2212yes—
160#2538C2211yescharacteristic, complemented
161#2538C2211yescharacteristic, complemented
162#2538C2212yescomplemented
163#2538C2212yescomplemented
164#2537C2212yescomplemented
165#2513C2212yes—
166#2512C2212yes—
167#2512C2212yes—
168#2512C2212yescomplemented
169#2512C2212yescomplemented
170#2509C2212yescomplemented
171#2507C2212yescomplemented
172#2507C2212yescomplemented
173#2507C2212yescomplemented
174#2504C2212yes—
175#2502C2212yescomplemented
176#2500C2212yescomplemented
177#2497C2212yescomplemented
178#2497C2212yescomplemented
179#2496C2212yescomplemented
180#2496C2212yescomplemented
181#2491C2212yescomplemented
182#2490C2212yes—
183#2486C2212yescomplemented
184#2485C2212yescomplemented
185#2485C2212yescomplemented
186#2473C2212yes—
187#2472C2212yes—
188#2465C2212yescomplemented
189#2464C2212yes—
190#2462C2212yescomplemented
191#2461C2212yes—
192#2461C2214yescomplemented
193#2456C2214yes—
194#2454C2212yescomplemented
195#2452C2211yescharacteristic
196#2452C2212yescomplemented
197#2451C2211yescharacteristic, complemented
198#2450C2214yes—
199#2449C2214yes—
200#2449C2212yes—
201#2449C2214yescomplemented
202#2446C2211yescharacteristic, complemented
203#2445C2212yes—
204#2445C2211yescharacteristic
205#2445C2212yes—
206#2445C2212yes—
207#2445C2212yes—
208#2445C2212yescomplemented
209#2444C2214yes—
210#2443C2214yes—
211#2442C2212yes—
212#2440C2211yescharacteristic
213#2440C2211yescharacteristic
214#2434C2211yescharacteristic
215#2433C2212yes—
216#2433C2211yescharacteristic
217#2432C2212yescomplemented
218#2429C2212yescomplemented
219#2429C2211yescharacteristic, complemented
220#2428C2212yes—
221#2428C2211yescharacteristic
222#2428C2212yescomplemented
223#2427C2212yescomplemented
224#2426C2214yescomplemented
225#2426C2212yescomplemented
226#2424C2214yes—
227#2424C2214yes—
228#2424C2214yes—
229#2424C2212yes—
230#2424C2214yes—
231#2423C2211yescharacteristic, complemented
232#2422C2211yescharacteristic
233#2422C2212yescomplemented
234#2422C2212yescomplemented
235#2422C2212yescomplemented
236#2418C2214yes—
237#2417C2211yescharacteristic
238#2417C2212yes—
239#2417C2212yescomplemented
240#2416C2214yes—
241#2416C2212yes—
242#2416C2214yes—
243#2416C2212yes—
244#2416C2212yes—
245#2416C2211yescharacteristic
246#2416C2214yescomplemented
247#2416C2212yescomplemented
248#2415C2212yescomplemented
249#2414C2212yes—
250#2409C2211yescharacteristic
251#2408C2211yescharacteristic
252#2407C2212yes—
253#2407C2212yescomplemented
254#2407C2212yescomplemented
255#2407C2212yescomplemented
256#2407C2212yescomplemented
257#2399C2212yescomplemented
258#2396C2212yescomplemented
259#2392C2212yes—
260C2×#396C2214yes—
261#2388C2212yes—
262#2370C2212yescomplemented
263#2366C2212yes—
264#2362C2212yescomplemented
265#2361C2212yes—
266#2361C2212yes—
267#2361C2212yes—
268#2361C2212yes—
269#2355C2211yescharacteristic, complemented
270#2354C2211yescharacteristic
271Q8×C4⋊C4C2211yescharacteristic, complemented
272D4×C4⋊C4C2212yes—
273D4×C4⋊C4C2214yes—
274D4×C4⋊C4C2212yescomplemented
275D4×C4⋊C4C2211yescharacteristic, complemented
276#2341C2212yescomplemented
277#2324C2212yescomplemented
278#2323C2212yescomplemented
279#2319C2212yescomplemented
280C4×C4⋊Q8C2211yescharacteristic, complemented
281C4×#127C2211yescharacteristic
282C4×#127C2211yescharacteristic, complemented
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2212yes—
285C4×C22⋊Q8C2211yescharacteristic, complemented
286C4×#121C2211yescharacteristic
287C4×#121C2212yes—
288C4×#121C2211yescharacteristic
289C4×#120C2212yes—
290#2295C2211yescharacteristic, complemented
291#2293C2211yescharacteristic
292C2×#390C2212yes—
293C2×#389C2212yes—
294#2290C2212yes—
295#2285C2211yescharacteristic, complemented
296C2×#384C2211yescharacteristic
297C2×#380C2212yes—
298C42×D4C2211yescharacteristic
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×Q8C2311yescharacteristic
303C23×D4C2311yescharacteristic
304C24×C4C2312yes—
305#553—48no—
306#550—44no—
307#550—44no—
308#548—48no—
309#547—48no—
310#538—416no—
311#537—48no—
312#533—44no—
313#532—44no—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×#127C2311yescharacteristic
319C2×#127C2311yescharacteristic
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2311yescharacteristic
324C2×#126C2314yes—
325C2×#126C2314yes—
326C2×#126C2314yes—
327C2×#125C2312yes—
328C2×#125C2312yes—
329C2×#125C2312yes—
330C2×#124C2312yes—
331C2×#124C2314yes—
332C2×#124C2312yes—
333C2×#124C2314yes—
334C2×#124C2314yes—
335#525—48no—
336#525—48no—
337C2×#123C2314yes—
338C2×#123C2314yes—
339C2×#123C2312yes—
340C2×#123C2312yes—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×C22⋊Q8—48no—
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2311yescharacteristic
349C2×C22⋊Q8C2311yescharacteristic
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2314yes—
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2312yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2314yes—
362C2×C22⋊Q8C2314yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2314yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2311yescharacteristic
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2311yescharacteristic
381C2×#121C2312yes—
382C2×#121C2311yescharacteristic
383C2×#121C2311yescharacteristic
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2314yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2314yes—
390C2×#121C2314yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#120C2312yes—
394C2×#120C2314yes—
395C2×#120C2312yes—
396C2×#120C2314yes—
397C2×#120C2312yes—
398C2×C4×Q8—44no—
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2312yes—
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2311yescharacteristic
405C2×C4×Q8C2312yes—
406C2×C4×Q8C2311yescharacteristic
407C2×C4×Q8C2312yes—
408C2×C4×D4—44no—
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2314yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
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×D4C2314yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2314yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2314yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2314yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×C4×D4C2312yes—
433C2×C4×D4C2311yescharacteristic
434C2×C4×D4C2312yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C2×#117C2312yes—
438C2×#117C2312yes—
439C22×C4⋊C4C2312yes—
440C22×C4⋊C4C2314yes—
441C22×C4⋊C4C2312yes—
442C22×C4⋊C4C2312yes—
443C22×C4⋊C4C2314yes—
444C22×C4⋊C4C2311yescharacteristic
445C22×C4⋊C4C2312yes—
446C22×C4⋊C4C2312yes—
447C22×C4⋊C4C2311yescharacteristic
448C22×C22⋊C4C2314yes—
449C22×C22⋊C4C2312yes—
450C22×C22⋊C4C2314yes—
451C22×C42C2311yescharacteristic
452C22×C42C2311yescharacteristic
453C22×C42C2312yes—
454#400C2314yes—
455#400C2312yes—
456#400C2314yes—
457#400C2314yes—
458#400C2314yes—
459#399C2314yes—
460#399C2314yes—
461#399C2314yes—
462#399C2314yes—
463#399C2312yes—
464#398C2312yes—
465#398C2314yes—
466#398C2314yes—
467#398C2314yes—
468#398C2314yes—
469#398C2312yes—
470#398C2312yes—
471#398C2314yes—
472#398C2314yes—
473#398C2312yes—
474#398C2312yes—
475#398C2314yes—
476#398C2312yes—
477#398C2312yes—
478#398C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2312yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2314yes—
498#396C2314yes—
499#396C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2312yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2312yes—
515#396C2314yes—
516#396C2314yes—
517#396C2312yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2312yes—
522#396C2314yes—
523#395C2314yes—
524#395C2314yes—
525#395C2312yes—
526#395C2312yes—
527#395C2312yes—
528#395C2312yes—
529#395C2312yes—
530#395C2312yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2312yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2312yes—
547#394C2314yes—
548#394C2312yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2312yes—
563#394C2314yes—
564#394C2314yes—
565#394C2312yes—
566#394C2312yes—
567#394C2314yes—
568#394C2314yes—
569#393C2314yes—
570#393C2312yes—
571#393C2314yes—
572#393C2312yes—
573#392C2314yes—
574#392C2312yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2312yes—
585#392C2312yes—
586#392C2312yes—
587#392C2314yes—
588#391C2311yescharacteristic
589#391C2311yescharacteristic
590#391C2314yes—
591#391C2312yes—
592#391C2312yes—
593#391C2311yescharacteristic
594#391C2311yescharacteristic
595#391C2311yescharacteristic
596#391C2311yescharacteristic
597#390C2311yescharacteristic
598#390C2311yescharacteristic
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2311yescharacteristic
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2314yes—
609#390C2314yes—
610#390C2314yes—
611#390C2314yes—
612#390C2312yes—
613#390C2312yes—
614#390C2314yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2314yes—
619#390C2312yes—
620#390C2312yes—
621#390C2314yes—
622#390C2312yes—
623#390C2314yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2314yes—
628#390C2312yes—
629#390C2312yes—
630#390C2311yescharacteristic
631#390C2314yes—
632#390C2311yescharacteristic
633#390C2312yes—
634#390C2311yescharacteristic
635#390C2312yes—
636#389C2312yes—
637#389C2312yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2314yes—
646#389C2311yescharacteristic
647#389C2312yes—
648#389C2314yes—
649#389C2314yes—
650#389C2314yes—
651#389C2314yes—
652#389C2312yes—
653#389C2312yes—
654#389C2314yes—
655#389C2314yes—
656#389C2312yes—
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#389C2312yes—
661#389C2311yescharacteristic
662#389C2311yescharacteristic
663#389C2311yescharacteristic
664#389C2311yescharacteristic
665#389C2311yescharacteristic
666#389C2311yescharacteristic
667#389C2311yescharacteristic
668#389C2312yes—
669#389C2314yes—
670#388C2312yes—
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#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2312yes—
687#388C2312yes—
688#388C2314yes—
689#388C2312yes—
690#388C2312yes—
691#387C2314yes—
692#387C2314yes—
693#387C2312yes—
694#387C2312yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2312yes—
702#387C2312yes—
703#387C2312yes—
704#387C2312yes—
705#387C2312yes—
706#387C2312yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2312yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2312yes—
719#386C2314yes—
720#386C2312yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2312yes—
727#386C2312yes—
728#386C2312yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
736#385C2312yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2312yes—
745#385C2312yes—
746#385C2312yes—
747#385C2314yes—
748#385C2312yes—
749#385C2312yes—
750#385C2312yes—
751#385C2312yes—
752#385C2312yes—
753#384C2311yescharacteristic
754#384C2311yescharacteristic
755#384C2311yescharacteristic
756#384C2312yes—
757#384C2312yes—
758#384C2314yes—
759#384C2311yescharacteristic
760#384C2312yes—
761#384C2311yescharacteristic
762#384C2312yes—
763#384C2312yes—
764#382C2312yes—
765#382C2312yes—
766#382C2312yes—
767#381C2314yes—
768#380C2312yes—
769#380C2314yes—
770#380C2314yes—
771#380C2312yes—
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2312yes—
776#380C2314yes—
777#380C2312yes—
778#380C2314yes—
779#380C2312yes—
780#380C2314yes—
781#380C2311yescharacteristic
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2312yes—
786#380C2314yes—
787#380C2312yes—
788#380C2312yes—
789#380C2311yescharacteristic
790#380C2314yes—
791#379C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2314yes—
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C22⋊C4C2314yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2311yescharacteristic
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2311yescharacteristic
821#376C2312yes—
822C2×#95C2314yes—
823C43C2311yescharacteristic
824C25C2412yes—
825C2×#41—28no—
826C2×#41—44no—
827C2×#41—44no—
828C2×#41—44no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—44no—
832C2×#41—44no—
833C2×#41—44no—
834C22×Q8—24no—
835C22×Q8—24no—
836C22×Q8—42no—
837C22×Q8C2411yescharacteristic
838C22×Q8C2411yescharacteristic
839C22×Q8C2412yes—
840C22×Q8C2411yescharacteristic
841C22×Q8C2412yes—
842C22×Q8C2412yes—
843C22×D4—24no—
844C22×D4—42no—
845C22×D4—42no—
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2414yes—
849C22×D4C2411yescharacteristic
850C22×D4C2412yes—
851C22×D4C2411yescharacteristic
852C22×D4C2411yescharacteristic
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2414yes—
859C22×D4C2412yes—
860C22×D4C2412yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2412yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2412yes—
867C22×D4C2414yes—
868C22×D4C2412yes—
869C22×D4C2414yes—
870C23×C4—28no—
871C23×C4—44no—
872C23×C4—44no—
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2412yes—
880C23×C4C2411yescharacteristic
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2414yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2414yes—
887C23×C4C2414yes—
888C23×C4C2412yes—
889C23×C4C2412yes—
890C23×C4C2414yes—
891C23×C4C2414yes—
892C4⋊Q8—24no—
893C4⋊Q8—42no—
894C4⋊Q8—42no—
895C4⋊Q8—42no—
896#127—24no—
897#127—42no—
898#127—44no—
899#127—42no—
900#127—44no—
901#127—44no—
902#126—48no—
903#126—48no—
904#126—48no—
905#125—44no—
906#125—44no—
907#125—44no—
908#124—44no—
909#124—48no—
910#124—44no—
911#124—48no—
912#124—48no—
913#123—44no—
914#123—44no—
915#123—48no—
916#123—48no—
917#123—48no—
918#123—48no—
919#123—48no—
920#123—48no—
921C22⋊Q8—28no—
922C22⋊Q8—28no—
923C22⋊Q8—24no—
924C22⋊Q8—24no—
925C22⋊Q8—28no—
926C22⋊Q8—44no—
927C22⋊Q8—48no—
928C22⋊Q8—48no—
929C22⋊Q8—48no—
930C22⋊Q8—44no—
931C22⋊Q8—44no—
932C22⋊Q8—48no—
933C22⋊Q8—44no—
934C22⋊Q8—44no—
935C22⋊Q8—44no—
936C22⋊Q8—42no—
937C22⋊Q8—42no—
938C22⋊Q8—44no—
939C22⋊Q8—44no—
940#121—28no—
941#121—28no—
942#121—24no—
943#121—44no—
944#121—44no—
945#121—48no—
946#121—44no—
947#121—48no—
948#121—48no—
949#121—48no—
950#121—48no—
951#121—48no—
952#121—48no—
953#121—44no—
954#121—42no—
955#121—44no—
956#121—42no—
957#121—42no—
958#121—44no—
959#121—44no—
960#121—48no—
961#121—44no—
962#121—44no—
963#121—44no—
964#121—48no—
965#121—48no—
966#121—48no—
967#121—44no—
968#120—28no—
969#120—44no—
970#120—44no—
971#120—48no—
972#120—48no—
973C4×Q8—24no—
974C4×Q8—24no—
975C4×Q8—24no—
976C4×Q8—44no—
977C4×Q8—44no—
978C4×Q8—44no—
979C4×Q8—42no—
980C4×Q8—42no—
981C4×Q8—44no—
982C4×D4—24no—
983C4×D4—28no—
984C4×D4—24no—
985C4×D4—216no—
986C4×D4—24no—
987C4×D4—24no—
988C4×D4—24no—
989C4×D4—24no—
990C4×D4—44no—
991C4×D4—42no—
992C4×D4—42no—
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—44no—
1004C4×D4—48no—
1005C4×D4—48no—
1006C4×D4—48no—
1007C4×D4—48no—
1008#117—44no—
1009#117—44no—
1010#117—44no—
1011#117—44no—
1012C2×C4⋊C4—44no—
1013C2×C4⋊C4—42no—
1014C2×C4⋊C4—44no—
1015C2×C4⋊C4—42no—
1016C2×C4⋊C4—44no—
1017C2×C4⋊C4—48no—
1018C2×C4⋊C4—44no—
1019C2×C4⋊C4—48no—
1020C2×C4⋊C4—44no—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2411yescharacteristic
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2411yescharacteristic
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2411yescharacteristic
1043C2×C4⋊C4C2411yescharacteristic
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2411yescharacteristic
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2411yescharacteristic
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2411yescharacteristic
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2414yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2414yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2412yes—
1083C2×C4⋊C4C2414yes—
1084C2×C4⋊C4C2414yes—
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C22⋊C4—44no—
1091C2×C22⋊C4—48no—
1092C2×C22⋊C4—48no—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2412yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2411yescharacteristic
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2411yescharacteristic
1107C2×C22⋊C4C2411yescharacteristic
1108C2×C22⋊C4C2411yescharacteristic
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2412yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2414yes—
1151C2×C22⋊C4C2414yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2414yes—
1155C2×C22⋊C4C2414yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2411yescharacteristic
1163C2×C42—24no—
1164C2×C42—24no—
1165C2×C42—44no—
1166C2×C42C2411yescharacteristic
1167C2×C42C2412yes—
1168C2×C42C2412yes—
1169C2×C42C2414yes—
1170C2×C42C2412yes—
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2412yes—
1179C2×C42C2412yes—
1180C2×C42C2411yescharacteristic
1181C2×C42C2411yescharacteristic
1182C2×C42C2411yescharacteristic
1183C2×C42C2414yes—
1184C2×C42C2414yes—
1185C2×C42C2414yes—
1186C2×C42C2412yes—
1187C2×C42C2412yes—
1188C2×C42C2411yescharacteristic
1189C2×C42C2411yescharacteristic
1190#95C2414yes—
1191#95C2414yes—
1192#95C2414yes—
1193#95C2414yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2411yescharacteristic
1200#95C2411yescharacteristic
1201#95C2411yescharacteristic
1202#95C2411yescharacteristic
1203#95C2411yescharacteristic
1204#95C2411yescharacteristic
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2414yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2414yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2414yes—
1220#95C2414yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2414yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2414yes—
1228#95C2412yes—
1229#95C2412yes—
1230#95C2412yes—
1231#95C2412yes—
1232#95C2414yes—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236#95C2414yes—
1237#95C2414yes—
1238#95C2414yes—
1239#95C2414yes—
1240C24—24no—
1241C24—24no—
1242C24—24no—
1243C24—42no—
1244C24—42no—
1245C24—42no—
1246C24—42no—
1247C24C2512yes—
1248C24C2512yes—
1249C24C2511yescharacteristic
1250C24C2514yes—
1251C24C2512yes—
1252C24C2511yescharacteristic
1253#41—816no—
1254#41—816no—
1255#41—816no—
1256C2×Q8—22no—
1257C2×Q8—22no—
1258C2×Q8—22no—
1259C2×Q8—22no—
1260C2×Q8—22no—
1261C2×Q8—24no—
1262C2×Q8—22no—
1263C2×Q8—24no—
1264C2×Q8—22no—
1265C2×Q8—22no—
1266C2×Q8—24no—
1267C2×Q8—42no—
1268C2×Q8—42no—
1269C2×Q8—42no—
1270C2×Q8—42no—
1271C2×Q8—42no—
1272C2×Q8—42no—
1273C2×Q8—416no—
1274C2×Q8H(5,𝔽2)14yes—
1275C2×D4—22no—
1276C2×D4—24no—
1277C2×D4—28no—
1278C2×D4—22no—
1279C2×D4—24no—
1280C2×D4—28no—
1281C2×D4—22no—
1282C2×D4—24no—
1283C2×D4—28no—
1284C2×D4—22no—
1285C2×D4—22no—
1286C2×D4—22no—
1287C2×D4—24no—
1288C2×D4—24no—
1289C2×D4—24no—
1290C2×D4—24no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—28no—
1295C2×D4—22no—
1296C2×D4—24no—
1297C2×D4—24no—
1298C2×D4—22no—
1299C2×D4—22no—
1300C2×D4—22no—
1301C2×D4—24no—
1302C2×D4—22no—
1303C2×D4—22no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—416no—
1307C2×D4—42no—
1308C2×D4—42no—
1309C2×D4—44no—
1310C2×D4—42no—
1311C2×D4—42no—
1312C2×D4—42no—
1313C2×D4—42no—
1314C2×D4—44no—
1315C2×D4—42no—
1316C2×D4—42no—
1317C2×D4—42no—
1318C2×D4—42no—
1319C2×D4—42no—
1320C2×D4—42no—
1321C2×D4—42no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—42no—
1327C2×D4—42no—
1328C2×D4—42no—
1329C2×D4—42no—
1330C2×D4—44no—
1331C2×D4—42no—
1332C2×D4—42no—
1333C2×D4—42no—
1334C2×D4—42no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—28no—
1356C22×C4—24no—
1357C22×C4—22no—
1358C22×C4—22no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—22no—
1364C22×C4—24no—
1365C22×C4—24no—
1366C22×C4—24no—
1367C22×C4—22no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—24no—
1371C22×C4—24no—
1372C22×C4—22no—
1373C22×C4—24no—
1374C22×C4—22no—
1375C22×C4—22no—
1376C22×C4—28no—
1377C22×C4—28no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—42no—
1381C22×C4—41no—
1382C22×C4—41no—
1383C22×C4—42no—
1384C22×C4—44no—
1385C22×C4—42no—
1386C22×C4—42no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—42no—
1391C22×C4—42no—
1392C22×C4—44no—
1393C22×C4—44no—
1394C22×C4—44no—
1395C22×C4—44no—
1396C22×C4—44no—
1397C22×C4—42no—
1398C22×C4—42no—
1399C22×C4—42no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—44no—
1403C22×C4—816no—
1404C22×C4H(5,𝔽2)14yes—
1405C22×C42−1+414yes—
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2512yes—
1409C22×C4C2511yescharacteristic
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2511yescharacteristic
1415C22×C4C2512yes—
1416C22×C4C2514yes—
1417C22×C4C2512yes—
1418C22×C4C2512yes—
1419C22×C4C2511yescharacteristic
1420C22×C4C2514yes—
1421C22×C4C2512yes—
1422C22×C4C2512yes—
1423C22×C4C2512yes—
1424C22×C4C2511yescharacteristic
1425C22×C4C2514yes—
1426C22×C4C2512yes—
1427C22×C4C2511yescharacteristic
1428C22×C4C2511yescharacteristic
1429C22×C4C2511yescharacteristic
1430C22×C4C2512yes—
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C22×C4C2511yescharacteristic
1435C4⋊C4—22no—
1436C4⋊C4—24no—
1437C4⋊C4—24no—
1438C4⋊C4—28no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—22no—
1444C4⋊C4—24no—
1445C4⋊C4—22no—
1446C4⋊C4—28no—
1447C4⋊C4—22no—
1448C4⋊C4—24no—
1449C4⋊C4—22no—
1450C4⋊C4—24no—
1451C4⋊C4—22no—
1452C4⋊C4—28no—
1453C4⋊C4—22no—
1454C4⋊C4—24no—
1455C4⋊C4—24no—
1456C4⋊C4—22no—
1457C4⋊C4—24no—
1458C4⋊C4—24no—
1459C4⋊C4—24no—
1460C4⋊C4—24no—
1461C4⋊C4—24no—
1462C4⋊C4—22no—
1463C4⋊C4—24no—
1464C4⋊C4—22no—
1465C4⋊C4—24no—
1466C4⋊C4—24no—
1467C4⋊C4—22no—
1468C4⋊C4—42no—
1469C4⋊C4—44no—
1470C4⋊C4—42no—
1471C4⋊C4—42no—
1472C4⋊C4—42no—
1473C4⋊C4—42no—
1474C4⋊C4—42no—
1475C4⋊C4—44no—
1476C4⋊C4—42no—
1477C4⋊C4—44no—
1478C4⋊C4—44no—
1479C4⋊C4—44no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—42no—
1483C4⋊C4—42no—
1484C4⋊C4—42no—
1485C4⋊C4—42no—
1486C4⋊C4—42no—
1487C4⋊C4—42no—
1488C4⋊C4—42no—
1489C4⋊C4—42no—
1490C4⋊C4—42no—
1491C4⋊C4—44no—
1492C4⋊C4—42no—
1493C4⋊C4—42no—
1494C4⋊C4—44no—
1495C4⋊C4—44no—
1496C4⋊C4—44no—
1497C4⋊C4—42no—
1498C4⋊C4—42no—
1499C4⋊C4—42no—
1500C4⋊C4—44no—
1501C4⋊C4—44no—
1502C4⋊C4—44no—
1503C4⋊C4—44no—
1504C22⋊C4—24no—
1505C22⋊C4—22no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—22no—
1509C22⋊C4—24no—
1510C22⋊C4—24no—
1511C22⋊C4—28no—
1512C22⋊C4—28no—
1513C22⋊C4—24no—
1514C22⋊C4—22no—
1515C22⋊C4—28no—
1516C22⋊C4—24no—
1517C22⋊C4—22no—
1518C22⋊C4—28no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—24no—
1522C22⋊C4—22no—
1523C22⋊C4—28no—
1524C22⋊C4—24no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—42no—
1534C22⋊C4—42no—
1535C22⋊C4—44no—
1536C22⋊C4—42no—
1537C22⋊C4—42no—
1538C22⋊C4—42no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—42no—
1542C22⋊C4—42no—
1543C22⋊C4—44no—
1544C22⋊C4—44no—
1545C22⋊C4—42no—
1546C22⋊C4—42no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—44no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4—42no—
1559C22⋊C4—42no—
1560C22⋊C4—44no—
1561C22⋊C4—44no—
1562C22⋊C4—44no—
1563C22⋊C4—44no—
1564C22⋊C4—42no—
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⋊C4H(5,𝔽2)14yes—
1574C42—22no—
1575C42—22no—
1576C42—22no—
1577C42—22no—
1578C42—22no—
1579C42—22no—
1580C42—24no—
1581C42—24no—
1582C42—22no—
1583C42—24no—
1584C42—28no—
1585C42—24no—
1586C42—22no—
1587C42—22no—
1588C42—22no—
1589C42—22no—
1590C42—24no—
1591C42—42no—
1592C42—42no—
1593C42—41no—
1594C42—44no—
1595C42—44no—
1596C42—44no—
1597C42H(5,𝔽2)14yes—
1598C23—21no—
1599C23—21no—
1600C23—21no—
1601C23—21no—
1602C23—22no—
1603C23—22no—
1604C23—21no—
1605C23—22no—
1606C23—22no—
1607C23—21no—
1608C23—22no—
1609C23—24no—
1610C23—24no—
1611C23—22no—
1612C23—21no—
1613C23—22no—
1614C23—22no—
1615C23—21no—
1616C23—22no—
1617C23—22no—
1618C23—22no—
1619C23—22no—
1620C23—24no—
1621C23—24no—
1622C23—21no—
1623C23—22no—
1624C23—24no—
1625C23—22no—
1626C23—22no—
1627C23—22no—
1628C23—24no—
1629C23—22no—
1630C23—21no—
1631C23—22no—
1632C23—21no—
1633C23—24no—
1634C23—22no—
1635C23—22no—
1636C23—22no—
1637C23—48no—
1638C23—48no—
1639C23—48no—
1640C23—84no—
1641C23—84no—
1642C23—84no—
1643C23—84no—
1644C23C2×H(5,𝔽2)12yes—
1645C23C2×H(5,𝔽2)12yes—
1646C23C2×2−1+412yes—
1647C23C2611yescharacteristic
1648Q8—28no—
1649Q8—48no—
1650Q8—44no—
1651Q8—44no—
1652Q8—84no—
1653Q8—84no—
1654D4—48no—
1655D4—44no—
1656D4—48no—
1657D4—416no—
1658D4—48no—
1659D4—44no—
1660D4—48no—
1661D4—44no—
1662D4—44no—
1663D4—84no—
1664D4—84no—
1665D4—84no—
1666D4—88no—
1667D4—84no—
1668D4—84no—
1669D4—88no—
1670D4—84no—
1671D4—84no—
1672D4—84no—
1673D4—88no—
1674D4—164no—
1675D4—164no—
1676D4—164no—
1677D4—164no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—22no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—28no—
1691C2×C4—28no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—22no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—22no—
1703C2×C4—24no—
1704C2×C4—24no—
1705C2×C4—21no—
1706C2×C4—22no—
1707C2×C4—22no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—24no—
1712C2×C4—22no—
1713C2×C4—24no—
1714C2×C4—21no—
1715C2×C4—24no—
1716C2×C4—22no—
1717C2×C4—22no—
1718C2×C4—24no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—21no—
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—22no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—24no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—21no—
1744C2×C4—24no—
1745C2×C4—22no—
1746C2×C4—24no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—22no—
1750C2×C4—21no—
1751C2×C4—22no—
1752C2×C4—22no—
1753C2×C4—22no—
1754C2×C4—22no—
1755C2×C4—44no—
1756C2×C4—44no—
1757C2×C4—48no—
1758C2×C4—48no—
1759C2×C4—48no—
1760C2×C4—48no—
1761C2×C4—44no—
1762C2×C4—44no—
1763C2×C4—88no—
1764C2×C4—84no—
1765C2×C4—84no—
1766C2×C4—88no—
1767C2×C4—88no—
1768C2×C4—84no—
1769C2×C4—84no—
1770C2×C4—88no—
1771C2×C4—164no—
1772C2×C4C2×H(5,𝔽2)12yes—
1773C2×C4C2×H(5,𝔽2)12yes—
1774C2×C4C2×H(5,𝔽2)12yes—
1775C2×C4C2×H(5,𝔽2)12yes—
1776C2×C4C2×H(5,𝔽2)14yes—
1777C2×C4C2×H(5,𝔽2)12yes—
1778C2×C4C2×H(5,𝔽2)12yes—
1779C2×C4C2×H(5,𝔽2)12yes—
1780C2×C4C2×H(5,𝔽2)12yes—
1781C2×C4C2×2−1+412yes—
1782C2×C4C2×2−1+412yes—
1783C2×C4#58512yes—
1784C22—22no—
1785C22—22no—
1786C22—22no—
1787C22—22no—
1788C22—22no—
1789C22—22no—
1790C22—41no—
1791C22—42no—
1792C22—42no—
1793C22—42no—
1794C22—44no—
1795C22—42no—
1796C22—42no—
1797C22—42no—
1798C22—41no—
1799C22—44no—
1800C22—41no—
1801C22—44no—
1802C22—42no—
1803C22—42no—
1804C22—42no—
1805C22—44no—
1806C22—42no—
1807C22—42no—
1808C22—41no—
1809C22—42no—
1810C22—41no—
1811C22—42no—
1812C22—44no—
1813C22—42no—
1814C22—42no—
1815C22—41no—
1816C22—44no—
1817C22—42no—
1818C22—42no—
1819C22—42no—
1820C22—41no—
1821C22—42no—
1822C22—42no—
1823C22—42no—
1824C22—44no—
1825C22—816no—
1826C22#354814yes—
1827C22C22×H(5,𝔽2)11yescharacteristic
1828C22C22×H(5,𝔽2)11yescharacteristic
1829C22C22×H(5,𝔽2)11yescharacteristic
1830C22C22×H(5,𝔽2)11yescharacteristic
1831C22C22×2−1+411yescharacteristic
1832C22C2×#58511yescharacteristic
1833C222−1+611yescharacteristic
1834C4—22no—
1835C4—22no—
1836C4—24no—
1837C4—22no—
1838C4—22no—
1839C4—22no—
1840C4—41no—
1841C4—42no—
1842C4—42no—
1843C4—42no—
1844C4—41no—
1845C4—42no—
1846C4—42no—
1847C4—41no—
1848C4—42no—
1849C4—44no—
1850C4—44no—
1851C4—44no—
1852C4—42no—
1853C4—41no—
1854C4—41no—
1855C4—42no—
1856C4—42no—
1857C4—42no—
1858C4—42no—
1859C4—41no—
1860C4—42no—
1861C4#353714yes—
1862C4#354114yes—
1863C2—24no—
1864C2—81no—
1865C2—82no—
1866C2—84no—
1867C2—82no—
1868C2—82no—
1869C2C2×#354111yescharacteristic
1870C2C2×#353711yescharacteristic
1871C2C2×#354811yescharacteristic
1872C2#6291311yescharacteristic
1873C2#6291411yescharacteristic
1874C2#6296011yescharacteristic
1875C2#6301411yescharacteristic
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. #59815C2semidirect
2. #59454C2semidirect
3. #59305C2semidirect
4. #59218C2semidirect
5. #59002C2semidirect
6. #55058C2semidirect
7. #54939C2semidirect
8. #53099C2semidirect
9. #53095C2semidirect
10. #53044C2semidirect
11. #52973C2semidirect
12. #52343C2semidirect
13. #42916C2semidirect
14. #42894C2semidirect
15. #42556C2semidirect
16. #42524C2semidirect
17. #40515C2semidirect
18. #39725C2semidirect
19. #39383C2semidirect
20. #39349C2semidirect
21. #39341C2semidirect
22. #39192C2semidirect
23. #38975C2semidirect
24. #38123C2semidirect
25. #37649C2semidirect
26. #37640C2semidirect
27. #37625C2semidirect
28. #37493C2semidirect
29. #37444C2semidirect
30. #36576C2semidirect
31. #36182C2semidirect
32. #36101C2semidirect
33. C2×#2538C2semidirect
34. #34691C2semidirect
35. #34681C2semidirect
38. C2×#550C22semidirect
40. C2×#547C22semidirect
42. C2×#537C22semidirect
43. C2×#533C22semidirect
50. #2859C22semidirect
53. #2856C22semidirect
55. #2830C22semidirect
57. #2829C22semidirect
58. #2829C22semidirect
59. #2829C22semidirect
61. #2827C22semidirect
62. #2826C22semidirect
63. #2823C22semidirect
64. #2820C22semidirect
65. #2814C22semidirect
66. #2814C22semidirect
67. #2813C22semidirect
68. #2813C22semidirect
69. #2803C22semidirect
70. #2800C22semidirect
71. #2790C22semidirect
72. #2790C22semidirect
73. #2786C22semidirect
74. #2783C22semidirect
75. #2780C22semidirect
76. #2772C22semidirect
77. #2761C22semidirect
78. #2742C22semidirect
80. #2725C22semidirect
81. #2715C22semidirect
82. #2715C22semidirect
85. #2711C22semidirect
86. #2708C22semidirect
87. #2707C22semidirect
88. #2705C22semidirect
89. #2701C22semidirect
90. #2701C22semidirect
91. #2695C22semidirect
92. #2691C22semidirect
93. #2686C22semidirect
94. #2683C22semidirect
96. #2682C22semidirect
97. #2682C22semidirect
98. #2681C22semidirect
99. #2680C22semidirect
100. #2676C22semidirect
101. #2676C22semidirect
102. #2676C22semidirect
103. #2675C22semidirect
104. #2672C22semidirect
105. #2672C22semidirect
106. #2662C22semidirect
110. #2644C22semidirect
112. #2630C22semidirect
113. #2630C22semidirect
114. #2630C22semidirect
115. #2625C22semidirect
117. #2624C22semidirect
118. #2624C22semidirect
120. #2620C22semidirect
121. #2620C22semidirect
123. #2618C22semidirect
126. #2616C22semidirect
127. #2616C22semidirect
128. #2615C22semidirect
129. #2601C22semidirect
130. #2589C22semidirect
131. #2583C22semidirect
132. #2580C22semidirect
134. #2567C22semidirect
135. #2566C22semidirect
136. #2566C22semidirect
138. #2552C22semidirect
141. #2548C22semidirect
142. #2548C22semidirect
143. #2547C22semidirect
145. #2542C22semidirect
149. #2540C22semidirect
160. #2538C22semidirect
161. #2538C22semidirect
162. #2538C22semidirect
163. #2538C22semidirect
164. #2537C22semidirect
168. #2512C22semidirect
169. #2512C22semidirect
170. #2509C22semidirect
171. #2507C22semidirect
172. #2507C22semidirect
173. #2507C22semidirect
175. #2502C22semidirect
176. #2500C22semidirect
177. #2497C22semidirect
178. #2497C22semidirect
179. #2496C22semidirect
180. #2496C22semidirect
181. #2491C22semidirect
183. #2486C22semidirect
184. #2485C22semidirect
185. #2485C22semidirect
188. #2465C22semidirect
190. #2462C22semidirect
192. #2461C22semidirect
194. #2454C22semidirect
196. #2452C22semidirect
197. #2451C22semidirect
201. #2449C22semidirect
202. #2446C22semidirect
208. #2445C22semidirect
217. #2432C22semidirect
218. #2429C22semidirect
219. #2429C22semidirect
222. #2428C22semidirect
223. #2427C22semidirect
224. #2426C22semidirect
225. #2426C22semidirect
231. #2423C22semidirect
233. #2422C22semidirect
234. #2422C22semidirect
235. #2422C22semidirect
239. #2417C22semidirect
246. #2416C22semidirect
247. #2416C22semidirect
248. #2415C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
257. #2399C22semidirect
258. #2396C22semidirect
262. #2370C22semidirect
264. #2362C22semidirect
269. #2355C22semidirect
271. Q8×C4⋊C4C22semidirect
274. D4×C4⋊C4C22semidirect
275. D4×C4⋊C4C22semidirect
276. #2341C22semidirect
277. #2324C22semidirect
278. #2323C22semidirect
279. #2319C22semidirect
280. C4×C4⋊Q8C22semidirect
282. C4×#127C22semidirect
285. C4×C22⋊Q8C22semidirect
290. #2295C22semidirect
295. #2285C22semidirect

Maximal subgroups

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

subgroupindex
#598152
#594542
#593052
#592182
#590022
#550582
#549392
#530992
#530952
#530442
#529732
#523432
#429162
#428942
#425562
#425242
#405152
#397252
#393832
#393492
#393412
#391922
#389752
#381232
#376492
#376402
#376252
#374932
#374442
#365762
#361822
#361012
C2×#25382
#346912
#346812