Finite Group Databasebeta

← #7657408

Subgroups — #7657408

Order 512.

5848 conjugacy classes of subgroups.

The subgroup lattice has 1870 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#42617C212yesmaximal, complemented
2#42607C212yesmaximal, complemented
3#42589C212yesmaximal, complemented
4#42566C212yesmaximal, complemented
5#41315C214yesmaximal, complemented
6#41307C214yesmaximal, complemented
7#41295C214yesmaximal, complemented
8#41264C214yesmaximal, complemented
9#39498C211yesmaximal, characteristic, complemented
10#39436C212yesmaximal, complemented
11#39434C212yesmaximal, complemented
12#39361C211yesmaximal, characteristic, complemented
13#39342C211yesmaximal, characteristic, complemented
14#39341C211yesmaximal, characteristic, complemented
15#37946C212yesmaximal, complemented
16#37748C212yesmaximal, complemented
17#37626C211yesmaximal, characteristic, complemented
18#37625C211yesmaximal, characteristic, complemented
19#37498C212yesmaximal, complemented
20#37493C212yesmaximal, complemented
21#36596C211yesmaximal, characteristic, complemented
22#36587C211yesmaximal, characteristic, complemented
23#36174C211yesmaximal, characteristic, complemented
24#36128C211yesmaximal, characteristic, complemented
25#35995C212yesmaximal, complemented
26#35941C212yesmaximal, complemented
27#35897C212yesmaximal, complemented
28#35741C212yesmaximal, complemented
29#35278C211yesmaximal, characteristic, complemented
30#35256C212yesmaximal, complemented
31#34619C211yesmaximal, characteristic, complemented
32#34609C212yesmaximal, complemented
33#34330C211yesmaximal, characteristic, complemented
34#34310C211yesmaximal, characteristic, complemented
35#34141C211yesmaximal, characteristic, complemented
36C2×#553C2212yescomplemented
37C2×#550C2211yescharacteristic
38C2×#550C2212yescomplemented
39C2×D42C2211yescharacteristic
40C2×#540C2212yescomplemented
41C2×#537C2212yescomplemented
42C2×#535C2212yes—
43C2×#535C2212yes—
44C2×#532C2211yescharacteristic
45C2×#532C2212yescomplemented
46C2×#518C2212yes—
47C2×C4×#41C2212yescomplemented
48#2867C2211yescharacteristic
49#2859C2211yescharacteristic, complemented
50#2856C2212yes—
51#2856C2211yescharacteristic
52#2856C2212yescomplemented
53#2856C2211yescharacteristic, complemented
54#2850C2212yes—
55#2850C2212yescomplemented
56#2829C2214yescomplemented
57#2829C2214yescomplemented
58#2828C2214yescomplemented
59#2828C2214yescomplemented
60#2826C2214yescomplemented
61#2825C2214yescomplemented
62#2807C2214yescomplemented
63#2788C2214yescomplemented
64#2757C2214yescomplemented
65#2749C2214yescomplemented
66#2710C2214yescomplemented
67#2703C2214yescomplemented
68#2701C2214yescomplemented
69#2688C2214yescomplemented
70#2688C2214yescomplemented
71#2688C2214yescomplemented
72#2688C2214yescomplemented
73#2687C2214yescomplemented
74#2686C2214yescomplemented
75#2684C2214yescomplemented
76#2678C2214yescomplemented
77#2676C2214yescomplemented
78#2675C2214yescomplemented
79#2673C2214yescomplemented
80#2670C2214yes—
81#2669C2214yes—
82#2669C2214yes—
83#2669C2214yes—
84#2668C2214yescomplemented
85#2668C2214yescomplemented
86#2661C2214yescomplemented
87#2654C2212yescomplemented
88#2653C2212yescomplemented
89#2650C2212yescomplemented
90#2649C2212yescomplemented
91#2649C2214yescomplemented
92#2648C2214yescomplemented
93#2648C2214yescomplemented
94#2647C2211yescharacteristic, complemented
95#2645C2211yescharacteristic, complemented
96#2644C2211yescharacteristic
97#2644C2212yescomplemented
98#2641C2212yescomplemented
99#2641C2212yescomplemented
100#2640C2211yescharacteristic
101#2636C2214yescomplemented
102#2635C2214yescomplemented
103#2635C2214yescomplemented
104#2635C2214yescomplemented
105#2635C2214yescomplemented
106#2632C2214yescomplemented
107#2631C2214yescomplemented
108#2630C2214yescomplemented
109#2628C2211yescharacteristic, complemented
110#2628C2212yescomplemented
111#2625C2211yescharacteristic, complemented
112#2624C2211yescharacteristic
113#2624C2212yescomplemented
114#2624C2212yescomplemented
115#2624C2212yescomplemented
116#2622C2214yescomplemented
117#2620C2211yescharacteristic
118#2620C2212yescomplemented
119#2619C2212yes—
120#2619C2212yes—
121#2619C2212yescomplemented
122#2619C2212yescomplemented
123#2617C2214yescomplemented
124#2615C2212yes—
125#2615C2212yescomplemented
126#2603C2214yescomplemented
127#2597C2214yescomplemented
128#2584C2212yescomplemented
129#2580C2212yes—
130#2576C2214yescomplemented
131#2571C2211yescharacteristic, complemented
132#2559C2214yescomplemented
133#2559C2214yescomplemented
134#2557C2214yescomplemented
135#2554C2214yescomplemented
136#2552C2211yescharacteristic, complemented
137#2548C2211yescharacteristic
138#2548C2212yescomplemented
139#2543C2214yescomplemented
140#2543C2214yescomplemented
141#2541C2211yescharacteristic
142#2541C2212yes—
143#2541C2212yes—
144#2541C2211yescharacteristic
145#2541C2212yescomplemented
146#2541C2211yescharacteristic, complemented
147#2539C2214yescomplemented
148#2538C2211yescharacteristic, complemented
149#2537C2211yescharacteristic
150#2535C2214yescomplemented
151#2526C2214yescomplemented
152#2526C2214yescomplemented
153#2518C2214yescomplemented
154#2513C2212yescomplemented
155#2513C2212yescomplemented
156#2512C2212yescomplemented
157#2509C2212yescomplemented
158#2504C2212yescomplemented
159#2495C2212yescomplemented
160#2491C2212yes—
161#2490C2212yes—
162#2490C2212yescomplemented
163#2489C2212yescomplemented
164#2488C2214yescomplemented
165#2464C2214yescomplemented
166#2464C2214yescomplemented
167#2454C2212yes—
168#2454C2212yescomplemented
169#2452C2212yescomplemented
170#2447C2212yescomplemented
171#2445C2212yes—
172#2445C2212yescomplemented
173#2445C2212yescomplemented
174#2445C2212yescomplemented
175#2445C2212yescomplemented
176#2445C2212yescomplemented
177#2444C2214yescomplemented
178#2444C2214yescomplemented
179#2442C2212yescomplemented
180#2441C2212yescomplemented
181#2433C2212yes—
182#2433C2212yes—
183#2433C2212yes—
184#2433C2212yes—
185#2431C2212yes—
186#2431C2214yescomplemented
187#2430C2214yescomplemented
188#2428C2212yes—
189#2428C2212yes—
190#2428C2212yes—
191#2428C2212yes—
192#2428C2212yescomplemented
193#2428C2214yescomplemented
194#2428C2212yescomplemented
195#2428C2214yescomplemented
196#2428C2212yescomplemented
197#2428C2212yescomplemented
198#2428C2214yescomplemented
199#2428C2212yescomplemented
200#2428C2212yescomplemented
201#2428C2214yescomplemented
202#2428C2212yescomplemented
203#2428C2212yescomplemented
204#2427C2212yescomplemented
205#2426C2214yescomplemented
206#2426C2214yescomplemented
207#2424C2214yescomplemented
208#2424C2214yescomplemented
209#2424C2214yescomplemented
210#2424C2214yescomplemented
211#2424C2214yescomplemented
212#2424C2214yescomplemented
213#2422C2212yescomplemented
214#2420C2212yescomplemented
215#2420C2212yescomplemented
216#2420C2212yescomplemented
217#2418C2214yescomplemented
218#2418C2214yescomplemented
219#2416C2212yescomplemented
220#2416C2212yescomplemented
221#2414C2212yes—
222#2408C2212yes—
223#2408C2212yes—
224#2407C2212yescomplemented
225#2404C2214yescomplemented
226#2401C2212yescomplemented
227#2398C2214yescomplemented
228#2398C2212yescomplemented
229#2397C2214yescomplemented
230#2396C2212yescomplemented
231#2395C2212yescomplemented
232#2388C2214yescomplemented
233#2388C2214yescomplemented
234#2367C2212yescomplemented
235#2367C2212yescomplemented
236#2366C2211yescharacteristic
237#2366C2212yes—
238#2366C2211yescharacteristic
239#2366C2211yescharacteristic
240#2366C2211yescharacteristic, complemented
241#2366C2212yescomplemented
242#2365C2211yescharacteristic, complemented
243#2365C2211yescharacteristic, complemented
244#2364C2214yescomplemented
245#2364C2212yescomplemented
246#2364C2212yescomplemented
247#2363C2212yes—
248#2363C2212yescomplemented
249#2363C2212yescomplemented
250#2363C2212yescomplemented
251#2361C2212yes—
252#2361C2211yescharacteristic
253#2361C2211yescharacteristic
254#2361C2211yescharacteristic, complemented
255#2361C2211yescharacteristic, complemented
256#2361C2212yescomplemented
257#2358C2214yes—
258#2357C2212yescomplemented
259#2357C2212yescomplemented
260#2355C2211yescharacteristic, complemented
261#2354C2211yescharacteristic
262#2354C2211yescharacteristic
263D4×C4⋊C4C2211yescharacteristic
264#2346C2212yescomplemented
265#2339C2212yescomplemented
266D4×C22⋊C4C2212yes—
267D4×C22⋊C4C2212yes—
268#2333C2214yescomplemented
269#2328C2212yes—
270#2328C2212yescomplemented
271#2324C2212yes—
272#2321C2214yes—
273#2317C2212yescomplemented
274C4×C4⋊Q8C2211yescharacteristic, complemented
275C4×#127C2211yescharacteristic
276C4×#127C2211yescharacteristic, complemented
277C4×#124C2211yescharacteristic
278C4×C22⋊Q8C2211yescharacteristic, complemented
279C4×#121C2212yes—
280C4×#121C2211yescharacteristic
281C4×#121C2212yescomplemented
282C4×#121C2212yescomplemented
283C4×#121C2212yescomplemented
284#2297C2212yescomplemented
285#2297C2212yescomplemented
286#2295C2211yescharacteristic, complemented
287#2293C2211yescharacteristic
288#2293C2211yescharacteristic
289#2293C2211yescharacteristic, complemented
290C2×#390C2212yes—
291#2290C2212yescomplemented
292#2290C2212yescomplemented
293#2283C2212yescomplemented
294#2275C2212yescomplemented
295C42×D4C2211yescharacteristic
296C42×D4C2211yescharacteristic, complemented
297C4×#117C2211yescharacteristic, complemented
298C2×C4×C4⋊C4C2211yescharacteristic, complemented
299C22×#41C2312yes—
300C22×#41C2312yes—
301C22×#41C2314yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304#553—48no—
305#550—28no—
306#550—48no—
307D42—28no—
308#540—48no—
309#537—48no—
310#535—48no—
311#535—48no—
312#532—28no—
313#532—48no—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×#127C2311yescharacteristic
317C2×#127C2311yescharacteristic
318C2×#127C2312yes—
319C2×#127C2312yes—
320C2×#127C2311yescharacteristic
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#127C2314yes—
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#126C2314yes—
331C2×#125C2312yes—
332C2×#125C2312yes—
333C2×#124C2311yescharacteristic
334C2×#124C2312yes—
335C2×#124C2312yes—
336C2×#124C2314yes—
337C2×#124C2314yes—
338C2×#123C2314yes—
339C2×#123C2314yes—
340C2×#123C2314yes—
341C2×#123C2314yes—
342C2×C22⋊Q8C2311yescharacteristic
343C2×C22⋊Q8C2312yes—
344C2×C22⋊Q8C2314yes—
345C2×#121C2312yes—
346C2×#121C2314yes—
347C2×#121C2312yes—
348C2×#121C2311yescharacteristic
349C2×#121C2312yes—
350C2×#121C2312yes—
351C2×#121C2312yes—
352C2×#121C2311yescharacteristic
353C2×#121C2311yescharacteristic
354C2×#121C2312yes—
355C2×#121C2312yes—
356C2×#121C2312yes—
357C2×#121C2314yes—
358C2×#121C2312yes—
359C2×#121C2312yes—
360C2×#121C2312yes—
361C2×#121C2314yes—
362C2×#121C2312yes—
363C2×#121C2312yes—
364C2×#121C2312yes—
365C2×#121C2312yes—
366C2×#121C2312yes—
367C2×#121C2314yes—
368C2×#121C2314yes—
369C2×#121C2314yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2314yes—
373C2×#121C2314yes—
374C2×#121C2314yes—
375C2×#121C2314yes—
376C2×#121C2314yes—
377C2×#121C2314yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#120C2314yes—
384C2×#120C2314yes—
385C2×#120C2314yes—
386C2×#120C2314yes—
387C2×#120C2314yes—
388C2×#120C2314yes—
389C2×#120C2314yes—
390C2×#120C2314yes—
391#518—48no—
392C4×#41—48no—
393C2×C4×Q8C2311yescharacteristic
394C2×C4×Q8C2312yes—
395C2×C4×Q8C2312yes—
396C2×C4×Q8C2312yes—
397C2×C4×D4C2311yescharacteristic
398C2×C4×D4C2312yes—
399C2×C4×D4C2312yes—
400C2×C4×D4C2311yescharacteristic
401C2×C4×D4C2311yescharacteristic
402C2×C4×D4C2312yes—
403C2×C4×D4C2312yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2312yes—
409C2×C4×D4C2314yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2314yes—
415C2×C4×D4C2312yes—
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2311yescharacteristic
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2314yes—
423C2×C4×D4C2314yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2314yes—
428C2×C4×D4C2314yes—
429C2×C4×D4C2311yescharacteristic
430C2×#117C2312yes—
431C2×#117C2312yes—
432C2×#117C2311yescharacteristic
433C2×#117C2311yescharacteristic
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2312yes—
437C22×C4⋊C4C2311yescharacteristic
438C22×C4⋊C4C2312yes—
439C22×C4⋊C4C2311yescharacteristic
440C22×C22⋊C4C2314yes—
441C22×C22⋊C4C2314yes—
442C22×C22⋊C4C2314yes—
443C22×C42C2312yes—
444C22×C42C2311yescharacteristic
445C22×C42C2312yes—
446C22×C42C2312yes—
447#401C2312yes—
448#400C2312yes—
449#400C2314yes—
450#400C2314yes—
451#400C2314yes—
452#400C2312yes—
453#400C2312yes—
454#400C2314yes—
455#400C2312yes—
456#400C2312yes—
457#400C2312yes—
458#400C2312yes—
459#399C2314yes—
460#399C2314yes—
461#399C2312yes—
462#399C2314yes—
463#399C2312yes—
464#399C2314yes—
465#398C2314yes—
466#398C2314yes—
467#398C2312yes—
468#398C2312yes—
469#398C2312yes—
470#397C2314yes—
471#397C2314yes—
472#397C2314yes—
473#397C2314yes—
474#397C2314yes—
475#397C2312yes—
476#397C2314yes—
477#397C2314yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2312yes—
483#397C2312yes—
484#397C2314yes—
485#397C2312yes—
486#397C2312yes—
487#397C2312yes—
488#397C2312yes—
489#397C2312yes—
490#396C2314yes—
491#396C2314yes—
492#396C2314yes—
493#396C2312yes—
494#396C2314yes—
495#396C2314yes—
496#396C2314yes—
497#396C2312yes—
498#396C2312yes—
499#395C2314yes—
500#395C2312yes—
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#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2312yes—
533#394C2312yes—
534#394C2312yes—
535#394C2312yes—
536#393C2314yes—
537#393C2314yes—
538#393C2314yes—
539#393C2312yes—
540#393C2312yes—
541#393C2312yes—
542#392C2314yes—
543#392C2314yes—
544#392C2314yes—
545#392C2314yes—
546#392C2314yes—
547#392C2314yes—
548#392C2314yes—
549#392C2314yes—
550#392C2314yes—
551#392C2314yes—
552#392C2314yes—
553#392C2314yes—
554#392C2314yes—
555#392C2314yes—
556#392C2314yes—
557#392C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#391C2312yes—
568#391C2312yes—
569#391C2311yescharacteristic
570#391C2311yescharacteristic
571#391C2312yes—
572#391C2312yes—
573#391C2311yescharacteristic
574#391C2311yescharacteristic
575#390C2312yes—
576#390C2312yes—
577#390C2312yes—
578#390C2312yes—
579#390C2312yes—
580#390C2312yes—
581#390C2314yes—
582#390C2312yes—
583#390C2311yescharacteristic
584#390C2312yes—
585#390C2312yes—
586#390C2312yes—
587#390C2312yes—
588#390C2314yes—
589#390C2311yescharacteristic
590#390C2312yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2312yes—
595#390C2314yes—
596#390C2314yes—
597#390C2314yes—
598#390C2312yes—
599#390C2312yes—
600#390C2314yes—
601#390C2312yes—
602#390C2314yes—
603#390C2311yescharacteristic
604#390C2311yescharacteristic
605#390C2311yescharacteristic
606#390C2312yes—
607#390C2312yes—
608#390C2314yes—
609#390C2311yescharacteristic
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2311yescharacteristic
617#390C2311yescharacteristic
618#390C2314yes—
619#389C2311yescharacteristic
620#389C2311yescharacteristic
621#389C2312yes—
622#389C2312yes—
623#389C2312yes—
624#389C2314yes—
625#389C2314yes—
626#389C2312yes—
627#389C2312yes—
628#389C2312yes—
629#389C2311yescharacteristic
630#389C2314yes—
631#389C2312yes—
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2311yescharacteristic
636#389C2311yescharacteristic
637#389C2311yescharacteristic
638#389C2311yescharacteristic
639#389C2311yescharacteristic
640#389C2311yescharacteristic
641#389C2311yescharacteristic
642#389C2312yes—
643#389C2311yescharacteristic
644#389C2311yescharacteristic
645#388C2312yes—
646#388C2312yes—
647#388C2312yes—
648#388C2314yes—
649#388C2312yes—
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#388C2312yes—
666#388C2314yes—
667#388C2312yes—
668#388C2312yes—
669#388C2314yes—
670#388C2312yes—
671#388C2312yes—
672#388C2314yes—
673#388C2312yes—
674#388C2312yes—
675#388C2312yes—
676#387C2312yes—
677#387C2312yes—
678#387C2312yes—
679#387C2314yes—
680#387C2312yes—
681#387C2314yes—
682#387C2312yes—
683#387C2312yes—
684#387C2312yes—
685#386C2312yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#386C2314yes—
690#386C2314yes—
691#386C2314yes—
692#386C2314yes—
693#386C2314yes—
694#386C2314yes—
695#386C2314yes—
696#386C2314yes—
697#386C2314yes—
698#386C2314yes—
699#386C2314yes—
700#386C2314yes—
701#386C2314yes—
702#386C2314yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2312yes—
709#386C2312yes—
710#386C2312yes—
711#386C2312yes—
712#386C2314yes—
713#386C2312yes—
714#386C2314yes—
715#386C2312yes—
716#386C2312yes—
717#386C2314yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2312yes—
725#386C2314yes—
726#385C2312yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2312yes—
736#385C2312yes—
737#385C2312yes—
738#385C2312yes—
739#384C2311yescharacteristic
740#384C2311yescharacteristic
741#384C2311yescharacteristic
742#384C2312yes—
743#383C2314yes—
744#382C2312yes—
745#382C2312yes—
746#382C2312yes—
747#382C2314yes—
748#382C2312yes—
749#382C2311yescharacteristic
750#381C2314yes—
751#381C2314yes—
752#381C2314yes—
753#381C2314yes—
754#380C2312yes—
755#380C2312yes—
756#380C2312yes—
757#380C2312yes—
758#380C2311yescharacteristic
759#380C2312yes—
760#380C2311yescharacteristic
761#380C2312yes—
762#380C2314yes—
763#380C2314yes—
764#379C2314yes—
765#379C2314yes—
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2311yescharacteristic
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2312yes—
773C4×C4⋊C4C2311yescharacteristic
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2311yescharacteristic
776C4×C4⋊C4C2312yes—
777C4×C4⋊C4C2312yes—
778C4×C4⋊C4C2311yescharacteristic
779C4×C4⋊C4C2312yes—
780C4×C4⋊C4C2312yes—
781C4×C4⋊C4C2311yescharacteristic
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C4⋊C4C2311yescharacteristic
786C4×C4⋊C4C2311yescharacteristic
787C4×C4⋊C4C2311yescharacteristic
788C4×C4⋊C4C2312yes—
789C4×C22⋊C4C2314yes—
790C4×C22⋊C4C2314yes—
791C4×C22⋊C4C2312yes—
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2314yes—
794C4×C22⋊C4C2312yes—
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2314yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2314yes—
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801C4×C22⋊C4C2312yes—
802C4×C22⋊C4C2314yes—
803C4×C22⋊C4C2314yes—
804C4×C22⋊C4C2314yes—
805C4×C22⋊C4C2312yes—
806C4×C22⋊C4C2312yes—
807C4×C22⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814#376C2312yes—
815#376C2311yescharacteristic
816#376C2314yes—
817#376C2311yescharacteristic
818C2×#95C2314yes—
819C2×#95C2312yes—
820C43C2311yescharacteristic
821C43C2311yescharacteristic
822C25C2414yes—
823C2×#41—28no—
824C2×#41—28no—
825C2×#41—28no—
826C2×#41—44no—
827C2×#41—48no—
828C2×#41—48no—
829C2×#41—44no—
830C2×#41—44no—
831C2×#41—84no—
832C22×Q8C2411yescharacteristic
833C22×Q8C2412yes—
834C22×Q8C2412yes—
835C22×D4—28no—
836C22×D4—28no—
837C22×D4—44no—
838C22×D4—44no—
839C22×D4—44no—
840C22×D4—44no—
841C22×D4C2411yescharacteristic
842C22×D4C2412yes—
843C22×D4C2412yes—
844C22×D4C2412yes—
845C22×D4C2412yes—
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2412yes—
849C22×D4C2412yes—
850C22×D4C2411yescharacteristic
851C22×D4C2414yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2414yes—
855C22×D4C2412yes—
856C22×D4C2414yes—
857C22×D4C2414yes—
858C22×D4C2414yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C22×D4C2414yes—
872C23×C4C2411yescharacteristic
873C23×C4C2412yes—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2412yes—
877C23×C4C2411yescharacteristic
878C23×C4C2412yes—
879C23×C4C2414yes—
880C23×C4C2412yes—
881C23×C4C2414yes—
882C23×C4C2412yes—
883C23×C4C2414yes—
884C23×C4C2411yescharacteristic
885C23×C4C2414yes—
886C23×C4C2412yes—
887C23×C4C2414yes—
888C23×C4C2412yes—
889C23×C4C2414yes—
890C4⋊Q8—24no—
891C4⋊Q8—24no—
892#127—24no—
893#127—28no—
894#127—24no—
895#127—24no—
896#127—28no—
897#127—44no—
898#127—44no—
899#127—44no—
900#127—44no—
901#127—44no—
902#127—44no—
903#127—48no—
904#127—82no—
905#127—82no—
906#126—48no—
907#125—44no—
908#125—44no—
909#124—28no—
910#124—24no—
911#124—48no—
912#124—44no—
913#124—48no—
914#123—48no—
915#123—48no—
916#123—48no—
917#123—84no—
918C22⋊Q8—24no—
919C22⋊Q8—48no—
920C22⋊Q8—44no—
921#121—24no—
922#121—28no—
923#121—28no—
924#121—24no—
925#121—28no—
926#121—28no—
927#121—24no—
928#121—28no—
929#121—28no—
930#121—216no—
931#121—48no—
932#121—48no—
933#121—48no—
934#121—48no—
935#121—48no—
936#121—48no—
937#121—48no—
938#121—48no—
939#121—48no—
940#121—48no—
941#121—48no—
942#121—44no—
943#121—44no—
944#121—44no—
945#121—44no—
946#121—44no—
947#121—48no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—84no—
954#121—84no—
955#121—82no—
956#121—82no—
957#121—84no—
958#121—84no—
959#120—216no—
960#120—48no—
961#120—48no—
962#120—48no—
963#120—48no—
964#120—84no—
965#120—84no—
966#120—84no—
967C4×Q8—24no—
968C4×Q8—44no—
969C4×Q8—44no—
970C4×Q8—44no—
971C4×D4—28no—
972C4×D4—28no—
973C4×D4—24no—
974C4×D4—28no—
975C4×D4—24no—
976C4×D4—28no—
977C4×D4—24no—
978C4×D4—24no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—48no—
982C4×D4—42no—
983C4×D4—44no—
984C4×D4—42no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—48no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—48no—
993C4×D4—48no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—44no—
997C4×D4—44no—
998C4×D4—44no—
999C4×D4—82no—
1000C4×D4—82no—
1001C4×D4—84no—
1002C4×D4—84no—
1003C4×D4#4118yescomplemented
1004#117—24no—
1005#117—28no—
1006#117—24no—
1007#117—28no—
1008#117—44no—
1009#117—44no—
1010#117—44no—
1011C2×C4⋊C4—24no—
1012C2×C4⋊C4—42no—
1013C2×C4⋊C4—44no—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2412yes—
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2411yescharacteristic
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2411yescharacteristic
1033C2×C4⋊C4C2412yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2414yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
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⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2411yescharacteristic
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C22⋊C4—48no—
1065C2×C22⋊C4—48no—
1066C2×C22⋊C4—84no—
1067C2×C22⋊C4C2414yes—
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2414yes—
1070C2×C22⋊C4C2411yescharacteristic
1071C2×C22⋊C4C2411yescharacteristic
1072C2×C22⋊C4C2412yes—
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2411yescharacteristic
1075C2×C22⋊C4C2411yescharacteristic
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2414yes—
1079C2×C22⋊C4C2414yes—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2414yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2412yes—
1099C2×C22⋊C4C2412yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2412yes—
1131C2×C22⋊C4C2412yes—
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×C42—24no—
1142C2×C42—28no—
1143C2×C42—44no—
1144C2×C42—44no—
1145C2×C42C2411yescharacteristic
1146C2×C42C2411yescharacteristic
1147C2×C42C2412yes—
1148C2×C42C2411yescharacteristic
1149C2×C42C2414yes—
1150C2×C42C2412yes—
1151C2×C42C2411yescharacteristic
1152C2×C42C2412yes—
1153C2×C42C2411yescharacteristic
1154C2×C42C2412yes—
1155C2×C42C2411yescharacteristic
1156C2×C42C2412yes—
1157C2×C42C2411yescharacteristic
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2411yescharacteristic
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2414yes—
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2414yes—
1167C2×C42C2412yes—
1168C2×C42C2412yes—
1169C2×C42C2412yes—
1170C2×C42C2412yes—
1171C2×C42C2411yescharacteristic
1172C2×C42C2411yescharacteristic
1173C2×C42C2411yescharacteristic
1174C2×C42C2411yescharacteristic
1175#95C2412yes—
1176#95C2412yes—
1177#95C2412yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2412yes—
1181#95C2412yes—
1182#95C2412yes—
1183#95C2412yes—
1184#95C2412yes—
1185#95C2412yes—
1186#95C2412yes—
1187#95C2411yescharacteristic
1188#95C2411yescharacteristic
1189#95C2411yescharacteristic
1190#95C2411yescharacteristic
1191#95C2411yescharacteristic
1192#95C2411yescharacteristic
1193#95C2411yescharacteristic
1194#95C2411yescharacteristic
1195#95C2414yes—
1196#95C2414yes—
1197#95C2414yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2414yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2414yes—
1211#95C2414yes—
1212#95C2412yes—
1213#95C2414yes—
1214#95C2412yes—
1215#95C2414yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2412yes—
1222#95C2412yes—
1223#95C2414yes—
1224#95C2412yes—
1225#95C2414yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2414yes—
1230#95C2414yes—
1231C24—28no—
1232C24—44no—
1233C24—44no—
1234C24—44no—
1235C24—44no—
1236C24—44no—
1237C24—44no—
1238C24C2512yes—
1239C24C2514yes—
1240C24C2512yes—
1241C24C2514yes—
1242C24C2512yes—
1243C24C2511yescharacteristic
1244#41—432no—
1245#41—816no—
1246#41—832no—
1247C2×Q8—22no—
1248C2×Q8—24no—
1249C2×Q8—22no—
1250C2×Q8—24no—
1251C2×Q8—22no—
1252C2×Q8—24no—
1253C2×Q8—42no—
1254C2×Q8—42no—
1255C2×Q8—42no—
1256C2×D4—28no—
1257C2×D4—24no—
1258C2×D4—24no—
1259C2×D4—24no—
1260C2×D4—24no—
1261C2×D4—24no—
1262C2×D4—28no—
1263C2×D4—28no—
1264C2×D4—24no—
1265C2×D4—28no—
1266C2×D4—28no—
1267C2×D4—22no—
1268C2×D4—24no—
1269C2×D4—22no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—28no—
1276C2×D4—24no—
1277C2×D4—22no—
1278C2×D4—24no—
1279C2×D4—24no—
1280C2×D4—22no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—24no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—22no—
1287C2×D4—22no—
1288C2×D4—28no—
1289C2×D4—28no—
1290C2×D4—22no—
1291C2×D4—22no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—44no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—42no—
1298C2×D4—44no—
1299C2×D4—42no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—44no—
1306C2×D4—42no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
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—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—44no—
1336C2×D4—44no—
1337C2×D4—44no—
1338C2×D4—44no—
1339C2×D4—44no—
1340C2×D4—44no—
1341C2×D4—44no—
1342C2×D4—44no—
1343C2×D4—44no—
1344C2×D4—44no—
1345C2×D4—44no—
1346C2×D4—44no—
1347C2×D4—44no—
1348C2×D4—432no—
1349C2×D4—816no—
1350C2×D4C2×#4114yes—
1351C22×C4—22no—
1352C22×C4—22no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—22no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—24no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—22no—
1365C22×C4—24no—
1366C22×C4—22no—
1367C22×C4—28no—
1368C22×C4—24no—
1369C22×C4—24no—
1370C22×C4—28no—
1371C22×C4—24no—
1372C22×C4—28no—
1373C22×C4—42no—
1374C22×C4—42no—
1375C22×C4—42no—
1376C22×C4—42no—
1377C22×C4—42no—
1378C22×C4—42no—
1379C22×C4—42no—
1380C22×C4—44no—
1381C22×C4—44no—
1382C22×C4—42no—
1383C22×C4—42no—
1384C22×C4—42no—
1385C22×C4—42no—
1386C22×C4—44no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—41no—
1391C22×C4—41no—
1392C22×C4—42no—
1393C22×C4—42no—
1394C22×C4—44no—
1395C22×C4—44no—
1396C22×C4—44no—
1397C22×C4—44no—
1398C22×C4—44no—
1399C22×C4—44no—
1400C22×C4—44no—
1401C22×C4—44no—
1402C22×C4—44no—
1403C22×C4C2×#4118yes—
1404C22×C4H(5,𝔽2)14yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2512yes—
1412C22×C4C2512yes—
1413C22×C4C2514yes—
1414C22×C4C2512yes—
1415C22×C4C2512yes—
1416C22×C4C2511yescharacteristic
1417C22×C4C2511yescharacteristic
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2512yes—
1421C22×C4C2512yes—
1422C22×C4C2512yes—
1423C22×C4C2512yes—
1424C22×C4C2514yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2512yes—
1428C22×C4C2511yescharacteristic
1429C22×C4C2511yescharacteristic
1430C22×C4C2512yes—
1431C22×C4C2511yescharacteristic
1432C22×C4C2511yescharacteristic
1433C22×C4C2511yescharacteristic
1434C4⋊C4—22no—
1435C4⋊C4—24no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—24no—
1439C4⋊C4—22no—
1440C4⋊C4—24no—
1441C4⋊C4—22no—
1442C4⋊C4—24no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—24no—
1448C4⋊C4—22no—
1449C4⋊C4—22no—
1450C4⋊C4—22no—
1451C4⋊C4—24no—
1452C4⋊C4—24no—
1453C4⋊C4—22no—
1454C4⋊C4—22no—
1455C4⋊C4—24no—
1456C4⋊C4—22no—
1457C4⋊C4—22no—
1458C4⋊C4—24no—
1459C4⋊C4—42no—
1460C4⋊C4—44no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—44no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—44no—
1471C4⋊C4—42no—
1472C4⋊C4—42no—
1473C4⋊C4—42no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—44no—
1478C4⋊C4—42no—
1479C4⋊C4—42no—
1480C4⋊C4—44no—
1481C4⋊C4—42no—
1482C4⋊C4C2×#4114yes—
1483C4⋊C4H(5,𝔽2)14yes—
1484C22⋊C4—24no—
1485C22⋊C4—22no—
1486C22⋊C4—22no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—28no—
1490C22⋊C4—24no—
1491C22⋊C4—24no—
1492C22⋊C4—28no—
1493C22⋊C4—28no—
1494C22⋊C4—24no—
1495C22⋊C4—28no—
1496C22⋊C4—22no—
1497C22⋊C4—22no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—24no—
1501C22⋊C4—28no—
1502C22⋊C4—24no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—28no—
1506C22⋊C4—28no—
1507C22⋊C4—42no—
1508C22⋊C4—42no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—42no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—42no—
1516C22⋊C4—42no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—42no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—44no—
1523C22⋊C4—44no—
1524C22⋊C4—44no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—42no—
1539C22⋊C4—42no—
1540C22⋊C4—42no—
1541C22⋊C4—42no—
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—42no—
1552C22⋊C4—42no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—44no—
1556C22⋊C4—42no—
1557C22⋊C4C2×#4118yes—
1558C42—22no—
1559C42—22no—
1560C42—22no—
1561C42—24no—
1562C42—24no—
1563C42—24no—
1564C42—24no—
1565C42—22no—
1566C42—24no—
1567C42—22no—
1568C42—28no—
1569C42—22no—
1570C42—22no—
1571C42—24no—
1572C42—24no—
1573C42—22no—
1574C42—22no—
1575C42—22no—
1576C42—42no—
1577C42—42no—
1578C42—42no—
1579C42—42no—
1580C42—44no—
1581C42—41no—
1582C42—41no—
1583C42—44no—
1584C42—41no—
1585C42—41no—
1586C42C2×#4114yes—
1587C42H(5,𝔽2)14yes—
1588C23—21no—
1589C23—21no—
1590C23—22no—
1591C23—22no—
1592C23—21no—
1593C23—22no—
1594C23—22no—
1595C23—21no—
1596C23—22no—
1597C23—21no—
1598C23—22no—
1599C23—21no—
1600C23—22no—
1601C23—24no—
1602C23—22no—
1603C23—24no—
1604C23—22no—
1605C23—22no—
1606C23—24no—
1607C23—24no—
1608C23—24no—
1609C23—22no—
1610C23—24no—
1611C23—22no—
1612C23—24no—
1613C23—22no—
1614C23—22no—
1615C23—24no—
1616C23—22no—
1617C23—24no—
1618C23—24no—
1619C23—22no—
1620C23—22no—
1621C23—22no—
1622C23—24no—
1623C23—22no—
1624C23—24no—
1625C23—24no—
1626C23—24no—
1627C23—22no—
1628C23—416no—
1629C23—88no—
1630C23—88no—
1631C23—164no—
1632C23—164no—
1633C23—164no—
1634C23—164no—
1635C23C22×#4114yes—
1636C23C2×H(5,𝔽2)12yes—
1637C23C2611yescharacteristic
1638Q8—48no—
1639Q8—48no—
1640Q8—44no—
1641D4—28no—
1642D4—48no—
1643D4—48no—
1644D4—48no—
1645D4—416no—
1646D4—44no—
1647D4—48no—
1648D4—48no—
1649D4—48no—
1650D4—44no—
1651D4—48no—
1652D4—84no—
1653D4—84no—
1654D4—88no—
1655D4—88no—
1656D4—88no—
1657D4—84no—
1658D4—88no—
1659D4—88no—
1660D4—84no—
1661D4—88no—
1662D4—88no—
1663D4—88no—
1664D4—88no—
1665D4—164no—
1666D4—164no—
1667D4—164no—
1668D4—164no—
1669D4—164no—
1670D4—164no—
1671D4—164no—
1672C2×C4—21no—
1673C2×C4—22no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—21no—
1679C2×C4—21no—
1680C2×C4—21no—
1681C2×C4—22no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—216no—
1685C2×C4—28no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—24no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—24no—
1713C2×C4—22no—
1714C2×C4—22no—
1715C2×C4—24no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—21no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—24no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—21no—
1736C2×C4—24no—
1737C2×C4—21no—
1738C2×C4—22no—
1739C2×C4—21no—
1740C2×C4—22no—
1741C2×C4—24no—
1742C2×C4—21no—
1743C2×C4—22no—
1744C2×C4—22no—
1745C2×C4—22no—
1746C2×C4—22no—
1747C2×C4—22no—
1748C2×C4—22no—
1749C2×C4—48no—
1750C2×C4—44no—
1751C2×C4—48no—
1752C2×C4—48no—
1753C2×C4—82no—
1754C2×C4—84no—
1755C2×C4—84no—
1756C2×C4—84no—
1757C2×C4—88no—
1758C2×C4—88no—
1759C2×C4—88no—
1760C2×C4—84no—
1761C2×C4—84no—
1762C2×C4—164no—
1763C2×C4—164no—
1764C2×C4—164no—
1765C2×C4C22×#4112yes—
1766C2×C4C22×#4114yes—
1767C2×C4C22×#4112yes—
1768C2×C4C22×#4112yes—
1769C2×C4C2×H(5,𝔽2)12yes—
1770C2×C4C2×H(5,𝔽2)12yes—
1771C2×C4C2×H(5,𝔽2)14yes—
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×C4#58512yes—
1777C22—22no—
1778C22—24no—
1779C22—24no—
1780C22—22no—
1781C22—24no—
1782C22—22no—
1783C22—41no—
1784C22—41no—
1785C22—42no—
1786C22—42no—
1787C22—41no—
1788C22—41no—
1789C22—42no—
1790C22—42no—
1791C22—42no—
1792C22—44no—
1793C22—42no—
1794C22—44no—
1795C22—44no—
1796C22—42no—
1797C22—44no—
1798C22—42no—
1799C22—42no—
1800C22—44no—
1801C22—44no—
1802C22—42no—
1803C22—44no—
1804C22—44no—
1805C22—42no—
1806C22—42no—
1807C22—42no—
1808C22—44no—
1809C22—42no—
1810C22—44no—
1811C22—42no—
1812C22—44no—
1813C22—44no—
1814C22—42no—
1815C22—44no—
1816C22—44no—
1817C22—42no—
1818C22—42no—
1819C22—1616no—
1820C22C23×#4111yescharacteristic
1821C22C22×H(5,𝔽2)11yescharacteristic
1822C22C22×H(5,𝔽2)11yescharacteristic
1823C22C22×H(5,𝔽2)11yescharacteristic
1824C22C2×#58511yescharacteristic
1825C22H(7,𝔽2)11yescharacteristic
1826C22H(7,𝔽2)11yescharacteristic
1827C4—24no—
1828C4—22no—
1829C4—22no—
1830C4—22no—
1831C4—24no—
1832C4—22no—
1833C4—42no—
1834C4—42no—
1835C4—41no—
1836C4—42no—
1837C4—41no—
1838C4—42no—
1839C4—42no—
1840C4—42no—
1841C4—41no—
1842C4—44no—
1843C4—42no—
1844C4—42no—
1845C4—41no—
1846C4—41no—
1847C4—42no—
1848C4—41no—
1849C4—42no—
1850C4—42no—
1851C4—41no—
1852C4—44no—
1853C4—41no—
1854C4#346014yes—
1855C4#351914yes—
1856C2—42no—
1857C2—44no—
1858C2—82no—
1859C2—84no—
1860C2—84no—
1861C2—82no—
1862C2C2×#346011yescharacteristic
1863C2C2×#351911yescharacteristic
1864C2#6285811yescharacteristic
1865C2#6291211yescharacteristic
1866C2#6291611yescharacteristic
1867C2#6295511yescharacteristic
1868C2#6296111yescharacteristic
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. #42617C2semidirect
2. #42607C2semidirect
3. #42589C2semidirect
4. #42566C2semidirect
5. #41315C2semidirect
6. #41307C2semidirect
7. #41295C2semidirect
8. #41264C2semidirect
9. #39498C2semidirect
10. #39436C2semidirect
11. #39434C2semidirect
12. #39361C2semidirect
13. #39342C2semidirect
14. #39341C2semidirect
15. #37946C2semidirect
16. #37748C2semidirect
17. #37626C2semidirect
18. #37625C2semidirect
19. #37498C2semidirect
20. #37493C2semidirect
21. #36596C2semidirect
22. #36587C2semidirect
23. #36174C2semidirect
24. #36128C2semidirect
25. #35995C2semidirect
26. #35941C2semidirect
27. #35897C2semidirect
28. #35741C2semidirect
29. #35278C2semidirect
30. #35256C2semidirect
31. #34619C2semidirect
32. #34609C2semidirect
33. #34330C2semidirect
34. #34310C2semidirect
35. #34141C2semidirect
36. C2×#553C22semidirect
38. C2×#550C22semidirect
40. C2×#540C22semidirect
41. C2×#537C22semidirect
45. C2×#532C22semidirect
47. C2×C4×#41C22semidirect
49. #2859C22semidirect
52. #2856C22semidirect
53. #2856C22semidirect
55. #2850C22semidirect
56. #2829C22semidirect
57. #2829C22semidirect
58. #2828C22semidirect
59. #2828C22semidirect
60. #2826C22semidirect
61. #2825C22semidirect
62. #2807C22semidirect
63. #2788C22semidirect
64. #2757C22semidirect
65. #2749C22semidirect
66. #2710C22semidirect
67. #2703C22semidirect
68. #2701C22semidirect
69. #2688C22semidirect
70. #2688C22semidirect
71. #2688C22semidirect
72. #2688C22semidirect
73. #2687C22semidirect
74. #2686C22semidirect
75. #2684C22semidirect
76. #2678C22semidirect
77. #2676C22semidirect
78. #2675C22semidirect
79. #2673C22semidirect
84. #2668C22semidirect
85. #2668C22semidirect
86. #2661C22semidirect
87. #2654C22semidirect
88. #2653C22semidirect
89. #2650C22semidirect
90. #2649C22semidirect
91. #2649C22semidirect
92. #2648C22semidirect
93. #2648C22semidirect
94. #2647C22semidirect
95. #2645C22semidirect
97. #2644C22semidirect
98. #2641C22semidirect
99. #2641C22semidirect
101. #2636C22semidirect
102. #2635C22semidirect
103. #2635C22semidirect
104. #2635C22semidirect
105. #2635C22semidirect
106. #2632C22semidirect
107. #2631C22semidirect
108. #2630C22semidirect
109. #2628C22semidirect
110. #2628C22semidirect
111. #2625C22semidirect
113. #2624C22semidirect
114. #2624C22semidirect
115. #2624C22semidirect
116. #2622C22semidirect
118. #2620C22semidirect
121. #2619C22semidirect
122. #2619C22semidirect
123. #2617C22semidirect
125. #2615C22semidirect
126. #2603C22semidirect
127. #2597C22semidirect
128. #2584C22semidirect
130. #2576C22semidirect
131. #2571C22semidirect
132. #2559C22semidirect
133. #2559C22semidirect
134. #2557C22semidirect
135. #2554C22semidirect
136. #2552C22semidirect
138. #2548C22semidirect
139. #2543C22semidirect
140. #2543C22semidirect
145. #2541C22semidirect
146. #2541C22semidirect
147. #2539C22semidirect
148. #2538C22semidirect
150. #2535C22semidirect
151. #2526C22semidirect
152. #2526C22semidirect
153. #2518C22semidirect
154. #2513C22semidirect
155. #2513C22semidirect
156. #2512C22semidirect
157. #2509C22semidirect
158. #2504C22semidirect
159. #2495C22semidirect
162. #2490C22semidirect
163. #2489C22semidirect
164. #2488C22semidirect
165. #2464C22semidirect
166. #2464C22semidirect
168. #2454C22semidirect
169. #2452C22semidirect
170. #2447C22semidirect
172. #2445C22semidirect
173. #2445C22semidirect
174. #2445C22semidirect
175. #2445C22semidirect
176. #2445C22semidirect
177. #2444C22semidirect
178. #2444C22semidirect
179. #2442C22semidirect
180. #2441C22semidirect
186. #2431C22semidirect
187. #2430C22semidirect
192. #2428C22semidirect
193. #2428C22semidirect
194. #2428C22semidirect
195. #2428C22semidirect
196. #2428C22semidirect
197. #2428C22semidirect
198. #2428C22semidirect
199. #2428C22semidirect
200. #2428C22semidirect
201. #2428C22semidirect
202. #2428C22semidirect
203. #2428C22semidirect
204. #2427C22semidirect
205. #2426C22semidirect
206. #2426C22semidirect
207. #2424C22semidirect
208. #2424C22semidirect
209. #2424C22semidirect
210. #2424C22semidirect
211. #2424C22semidirect
212. #2424C22semidirect
213. #2422C22semidirect
214. #2420C22semidirect
215. #2420C22semidirect
216. #2420C22semidirect
217. #2418C22semidirect
218. #2418C22semidirect
219. #2416C22semidirect
220. #2416C22semidirect
224. #2407C22semidirect
225. #2404C22semidirect
226. #2401C22semidirect
227. #2398C22semidirect
228. #2398C22semidirect
229. #2397C22semidirect
230. #2396C22semidirect
231. #2395C22semidirect
232. #2388C22semidirect
233. #2388C22semidirect
234. #2367C22semidirect
235. #2367C22semidirect
240. #2366C22semidirect
241. #2366C22semidirect
242. #2365C22semidirect
243. #2365C22semidirect
244. #2364C22semidirect
245. #2364C22semidirect
246. #2364C22semidirect
248. #2363C22semidirect
249. #2363C22semidirect
250. #2363C22semidirect
254. #2361C22semidirect
255. #2361C22semidirect
256. #2361C22semidirect
258. #2357C22semidirect
259. #2357C22semidirect
260. #2355C22semidirect
264. #2346C22semidirect
265. #2339C22semidirect
268. #2333C22semidirect
270. #2328C22semidirect
273. #2317C22semidirect
274. C4×C4⋊Q8C22semidirect
276. C4×#127C22semidirect
278. C4×C22⋊Q8C22semidirect
281. C4×#121C22semidirect
282. C4×#121C22semidirect
283. C4×#121C22semidirect
284. #2297C22semidirect
285. #2297C22semidirect
286. #2295C22semidirect
289. #2293C22semidirect
291. #2290C22semidirect
292. #2290C22semidirect
293. #2283C22semidirect
294. #2275C22semidirect
296. C42×D4C22semidirect
297. C4×#117C22semidirect
298. C2×C4×C4⋊C4C22semidirect
1003. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
#426172
#426072
#425892
#425662
#413152
#413072
#412952
#412642
#394982
#394362
#394342
#393612
#393422
#393412
#379462
#377482
#376262
#376252
#374982
#374932
#365962
#365872
#361742
#361282
#359952
#359412
#358972
#357412
#352782
#352562
#346192
#346092
#343302
#343102
#341412