Finite Group Databasebeta

← #8466983

Subgroups — #8466983

Order 512.

6311 conjugacy classes of subgroups.

The subgroup lattice has 1971 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59679C211yesmaximal, characteristic, complemented
2#59124C211yesmaximal, characteristic, complemented
3#59124C211yesmaximal, characteristic, complemented
4#55579C214yesmaximal, complemented
5#55054C214yesmaximal, complemented
6#54933C214yesmaximal, complemented
7#53090C212yesmaximal, complemented
8#52969C212yesmaximal, complemented
9#47928C214yesmaximal, complemented
10#45487C212yesmaximal, complemented
11#45487C212yesmaximal, complemented
12#44927C212yesmaximal, complemented
13#44881C212yesmaximal, complemented
14#42895C212yesmaximal, complemented
15#42616C212yesmaximal, complemented
16#42474C212yesmaximal, complemented
17#42430C212yesmaximal, complemented
18#40053C212yesmaximal, complemented
19#39888C212yesmaximal, complemented
20#39818C212yesmaximal, complemented
21#39736C211yesmaximal, characteristic, complemented
22#39386C211yesmaximal, characteristic, complemented
23#39147C211yesmaximal, characteristic, complemented
24#39138C211yesmaximal, characteristic, complemented
25#37681C212yesmaximal, complemented
26#37614C211yesmaximal, characteristic, complemented
27#37331C212yesmaximal, complemented
28#37298C212yesmaximal, complemented
29#36455C211yesmaximal, characteristic, complemented
30#36128C211yesmaximal, characteristic, complemented
31D4×#127C211yesmaximal, characteristic, complemented
32#35272C211yesmaximal, characteristic, complemented
33#35171C211yesmaximal, characteristic, complemented
34#34917C211yesmaximal, characteristic, complemented
35#34724C211yesmaximal, characteristic, complemented
36C2×#560C2214yescomplemented
37C2×#550C2211yescharacteristic, complemented
38C2×#550C2211yescharacteristic, complemented
39C2×#550C2212yescomplemented
40C2×#546C2212yescomplemented
41C2×#546C2212yescomplemented
42C2×D42C2212yes—
43C2×D42C2212yes—
44C2×D42C2212yes—
45C2×#540C2212yescomplemented
46C2×#540C2212yescomplemented
47C2×#535C2212yescomplemented
48C2×#532C2212yescomplemented
49C22×#127C2211yescharacteristic
50C22×#127C2211yescharacteristic
51C2×#529C2211yescharacteristic, complemented
52C2×C4×#41C2211yescharacteristic, complemented
53#2867C2211yescharacteristic
54#2856C2211yescharacteristic
55#2856C2211yescharacteristic
56#2856C2212yescomplemented
57#2856C2212yescomplemented
58#2856C2212yescomplemented
59#2856C2212yescomplemented
60#2856C2212yescomplemented
61#2854C2212yescomplemented
62#2828C2214yescomplemented
63#2825C2214yescomplemented
64#2818C2214yescomplemented
65#2815C2214yescomplemented
66#2815C2214yescomplemented
67#2815C2214yescomplemented
68#2815C2214yescomplemented
69#2812C2214yescomplemented
70#2803C2214yescomplemented
71#2800C2214yescomplemented
72#2797C2214yescomplemented
73#2778C2214yescomplemented
74#2761C2214yescomplemented
75#2757C2214yescomplemented
76#2714C2214yescomplemented
77#2714C2214yescomplemented
78#2714C2214yescomplemented
79#2714C2214yescomplemented
80#2714C2214yescomplemented
81#2708C2214yescomplemented
82#2701C2214yescomplemented
83#2701C2214yescomplemented
84#2699C2214yescomplemented
85#2697C2214yescomplemented
86#2697C2214yescomplemented
87#2691C2214yescomplemented
88#2688C2214yescomplemented
89#2688C2214yescomplemented
90#2688C2214yescomplemented
91#2685C2214yescomplemented
92#2682C2214yescomplemented
93#2682C2214yescomplemented
94#2682C2214yescomplemented
95#2682C2214yescomplemented
96#2678C2214yescomplemented
97#2678C2214yescomplemented
98#2678C2214yescomplemented
99#2678C2214yescomplemented
100#2678C2214yescomplemented
101#2678C2214yescomplemented
102#2678C2214yescomplemented
103#2675C2214yescomplemented
104#2675C2214yescomplemented
105#2675C2214yescomplemented
106#2675C2214yescomplemented
107#2675C2214yescomplemented
108#2673C2214yescomplemented
109#2673C2214yescomplemented
110#2673C2214yescomplemented
111#2673C2214yescomplemented
112#2673C2214yescomplemented
113#2669C2214yescomplemented
114#2669C2214yescomplemented
115#2669C2214yescomplemented
116#2669C2214yescomplemented
117#2669C2214yescomplemented
118#2668C2214yescomplemented
119#2661C2214yescomplemented
120#2661C2214yescomplemented
121#2657C2212yescomplemented
122#2648C2214yescomplemented
123#2644C2212yescomplemented
124#2641C2212yescomplemented
125#2630C2214yescomplemented
126#2622C2214yescomplemented
127#2620C2212yescomplemented
128#2619C2214yescomplemented
129#2619C2212yescomplemented
130#2619C2212yescomplemented
131#2619C2212yescomplemented
132#2619C2212yescomplemented
133#2613C2214yes—
134#2613C2214yescomplemented
135#2602C2214yescomplemented
136#2578C2212yescomplemented
137#2576C2212yescomplemented
138#2570C2211yescharacteristic, complemented
139#2566C2212yescomplemented
140#2566C2212yescomplemented
141#2566C2211yescharacteristic, complemented
142#2566C2212yescomplemented
143#2562C2211yescharacteristic
144#2559C2214yescomplemented
145#2552C2211yescharacteristic, complemented
146#2548C2211yescharacteristic
147#2548C2211yescharacteristic
148#2548C2211yescharacteristic, complemented
149#2548C2211yescharacteristic, complemented
150#2548C2212yescomplemented
151#2545C2212yescomplemented
152#2541C2212yes—
153#2541C2212yes—
154#2541C2212yes—
155#2541C2211yescharacteristic
156#2541C2211yescharacteristic
157#2541C2212yescomplemented
158#2541C2212yescomplemented
159#2541C2212yescomplemented
160#2541C2212yescomplemented
161#2541C2212yescomplemented
162#2541C2212yescomplemented
163#2541C2211yescharacteristic, complemented
164#2541C2212yescomplemented
165#2541C2212yescomplemented
166#2541C2212yescomplemented
167#2541C2212yescomplemented
168#2541C2211yescharacteristic, complemented
169#2537C2212yescomplemented
170#2537C2211yescharacteristic, complemented
171#2535C2211yescharacteristic
172#2535C2212yescomplemented
173#2534C2214yescomplemented
174#2515C2212yescomplemented
175#2513C2212yescomplemented
176#2513C2212yescomplemented
177#2512C2212yescomplemented
178#2512C2212yescomplemented
179#2512C2212yescomplemented
180#2512C2212yescomplemented
181#2497C2211yescharacteristic, complemented
182#2494C2211yescharacteristic, complemented
183#2490C2212yescomplemented
184#2490C2212yescomplemented
185#2490C2212yescomplemented
186#2490C2212yescomplemented
187#2478C2212yescomplemented
188#2470C2212yescomplemented
189#2466C2212yescomplemented
190#2466C2214yescomplemented
191#2464C2214yescomplemented
192#2464C2214yescomplemented
193#2457C2212yes—
194#2456C2214yescomplemented
195#2456C2214yescomplemented
196#2455C2212yes—
197#2453C2211yescharacteristic, complemented
198#2447C2212yescomplemented
199#2447C2212yescomplemented
200#2447C2211yescharacteristic, complemented
201#2445C2212yescomplemented
202#2445C2212yescomplemented
203#2445C2212yescomplemented
204#2445C2212yescomplemented
205#2441C2211yescharacteristic, complemented
206#2435C2212yescomplemented
207#2433C2212yes—
208#2433C2212yes—
209#2433C2212yes—
210#2433C2212yes—
211#2433C2212yes—
212#2433C2212yes—
213#2433C2214yes—
214#2433C2212yescomplemented
215#2433C2212yescomplemented
216#2433C2212yescomplemented
217#2432C2211yescharacteristic, complemented
218#2431C2212yescomplemented
219#2431C2212yescomplemented
220#2431C2212yescomplemented
221#2431C2212yescomplemented
222#2431C2212yescomplemented
223#2429C2211yescharacteristic, complemented
224#2428C2214yescomplemented
225#2428C2214yescomplemented
226#2428C2214yescomplemented
227#2428C2212yescomplemented
228#2428C2212yescomplemented
229#2428C2212yescomplemented
230#2428C2212yescomplemented
231#2428C2212yescomplemented
232#2428C2212yescomplemented
233#2428C2212yescomplemented
234#2426C2212yescomplemented
235#2424C2214yescomplemented
236#2424C2214yescomplemented
237#2424C2214yescomplemented
238#2422C2212yescomplemented
239#2422C2212yescomplemented
240#2422C2211yescharacteristic, complemented
241#2422C2211yescharacteristic, complemented
242#2422C2212yescomplemented
243#2420C2212yescomplemented
244#2420C2211yescharacteristic, complemented
245#2415C2211yescharacteristic
246#2414C2214yescomplemented
247#2414C2212yescomplemented
248#2410C2214yes—
249#2410C2214yescomplemented
250#2410C2214yescomplemented
251#2408C2214yescomplemented
252#2408C2212yescomplemented
253#2408C2212yescomplemented
254#2408C2212yescomplemented
255#2408C2212yescomplemented
256#2408C2212yescomplemented
257#2408C2212yescomplemented
258#2407C2211yescharacteristic
259#2407C2212yescomplemented
260#2405C2214yes—
261#2401C2212yescomplemented
262#2395C2212yescomplemented
263#2392C2212yes—
264#2392C2212yes—
265#2367C2212yescomplemented
266#2366C2212yescomplemented
267#2366C2212yescomplemented
268#2366C2211yescharacteristic, complemented
269#2366C2211yescharacteristic, complemented
270#2357C2212yescomplemented
271#2355C2211yescharacteristic, complemented
272Q8×C4⋊C4C2211yescharacteristic, complemented
273#2341C2212yescomplemented
274D4×C22⋊C4C2212yescomplemented
275D4×C22⋊C4C2212yescomplemented
276#2326C2212yescomplemented
277#2324C2212yescomplemented
278#2324C2212yescomplemented
279#2324C2212yescomplemented
280#2321C2214yescomplemented
281#2309C2212yescomplemented
282C4×C4⋊Q8C2211yescharacteristic, complemented
283C4×#127C2211yescharacteristic
284C4×#125C2211yescharacteristic, complemented
285C4×C22⋊Q8C2211yescharacteristic, complemented
286C4×C22⋊Q8C2211yescharacteristic, complemented
287C4×#123C2212yescomplemented
288C4×#123C2212yescomplemented
289C4×#121C2211yescharacteristic, complemented
290C4×#121C2211yescharacteristic, complemented
291C4×#121C2212yescomplemented
292#2296C2212yescomplemented
293#2293C2211yescharacteristic, complemented
294#2290C2212yescomplemented
295#2285C2211yescharacteristic, complemented
296#2283C2211yescharacteristic, complemented
297C42×D4C2211yescharacteristic
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2312yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304C23×D4C2312yes—
305C23×D4C2314yes—
306C23×D4C2312yes—
307C23×D4C2312yes—
308C23×D4C2312yes—
309#560—416no—
310#550—44no—
311#550—44no—
312#550—48no—
313#546—48no—
314#546—48no—
315D42—48no—
316D42—48no—
317D42—48no—
318#540—48no—
319#540—48no—
320#535—48no—
321#532—48no—
322C2×C4⋊Q8C2311yescharacteristic
323C2×#127—44no—
324C2×#127—44no—
325C2×#127C2311yescharacteristic
326C2×#127C2311yescharacteristic
327C2×#127C2311yescharacteristic
328C2×#127C2312yes—
329C2×#127C2312yes—
330C2×#127C2312yes—
331C2×#127C2312yes—
332C2×#127C2312yes—
333C2×#127C2312yes—
334C2×#127C2312yes—
335C2×#127C2312yes—
336C2×#127C2312yes—
337C2×#127C2312yes—
338C2×#127C2312yes—
339C2×#127C2312yes—
340C2×#127C2312yes—
341C2×#127C2312yes—
342C2×#127C2314yes—
343C2×#127C2314yes—
344C2×#127C2312yes—
345C2×#127C2312yes—
346C2×#127C2312yes—
347C2×#127C2312yes—
348#529—44no—
349C2×#126C2312yes—
350C2×#126C2314yes—
351C2×#126C2314yes—
352C2×#125C2311yescharacteristic
353C2×#125C2312yes—
354C2×#125C2311yescharacteristic
355C2×#124C2312yes—
356C2×#124C2312yes—
357C2×#124C2312yes—
358C2×#124C2311yescharacteristic
359C2×#124C2312yes—
360C2×#123C2312yes—
361C2×#123C2312yes—
362C2×#123C2314yes—
363C2×#123C2314yes—
364C2×#123C2314yes—
365C2×#123C2312yes—
366C2×#123C2314yes—
367C2×#123C2314yes—
368C2×#123C2314yes—
369C2×#123C2314yes—
370C2×C22⋊Q8C2311yescharacteristic
371C2×C22⋊Q8C2311yescharacteristic
372C2×C22⋊Q8C2311yescharacteristic
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#121C2312yes—
388C2×#121C2314yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#121C2314yes—
395C2×#121C2314yes—
396C2×#121C2314yes—
397C2×#121C2312yes—
398C2×#121C2312yes—
399C2×#121C2314yes—
400C2×#121C2311yescharacteristic
401C2×#121C2314yes—
402C2×#121C2314yes—
403C2×#121C2314yes—
404C2×#121C2314yes—
405C2×#121C2314yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2314yes—
409C2×#121C2314yes—
410C2×#121C2314yes—
411C2×#121C2314yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×#121C2311yescharacteristic
416C2×#121C2311yescharacteristic
417C2×#121C2314yes—
418C2×#121C2314yes—
419C2×#121C2314yes—
420C2×#121C2314yes—
421C2×#120C2314yes—
422C2×#120C2314yes—
423C2×#120C2314yes—
424C2×#120C2314yes—
425C2×#120C2314yes—
426C2×#120C2314yes—
427C2×#120C2314yes—
428C2×#120C2314yes—
429C2×#120C2314yes—
430C2×#120C2314yes—
431C2×#120C2314yes—
432C2×#120C2314yes—
433C2×#120C2314yes—
434C2×#120C2314yes—
435C4×#41—44no—
436C2×C4×Q8C2311yescharacteristic
437C2×C4×Q8C2311yescharacteristic
438C2×C4×Q8C2312yes—
439C2×C4×Q8C2311yescharacteristic
440C2×C4×D4C2312yes—
441C2×C4×D4C2311yescharacteristic
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2312yes—
445C2×C4×D4C2311yescharacteristic
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2311yescharacteristic
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2312yes—
452C2×C4×D4C2314yes—
453C2×C4×D4C2312yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×C4×D4C2312yes—
457C2×C4×D4C2314yes—
458C2×C4×D4C2312yes—
459C2×C4×D4C2312yes—
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2314yes—
464C2×C4×D4C2311yescharacteristic
465C2×#117C2312yes—
466C2×#117C2311yescharacteristic
467C2×#117C2312yes—
468C2×#117C2312yes—
469C2×#117C2312yes—
470C22×C22⋊C4C2314yes—
471C22×C22⋊C4C2314yes—
472C22×C42C2311yescharacteristic
473C22×C42C2311yescharacteristic
474C22×C42C2312yes—
475C22×C42C2312yes—
476#401C2312yes—
477#400C2312yes—
478#400C2312yes—
479#400C2312yes—
480#400C2312yes—
481#399C2312yes—
482#398C2312yes—
483#398C2312yes—
484#398C2312yes—
485#398C2314yes—
486#397C2312yes—
487#397C2314yes—
488#397C2314yes—
489#397C2312yes—
490#397C2314yes—
491#397C2312yes—
492#397C2312yes—
493#397C2314yes—
494#397C2312yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2312yes—
500#397C2314yes—
501#397C2312yes—
502#397C2312yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2312yes—
510#396C2314yes—
511#396C2312yes—
512#396C2314yes—
513#396C2314yes—
514#396C2312yes—
515#396C2314yes—
516#396C2314yes—
517#396C2312yes—
518#396C2312yes—
519#394C2312yes—
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#394C2314yes—
533#394C2314yes—
534#394C2312yes—
535#394C2312yes—
536#394C2314yes—
537#394C2312yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2314yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2312yes—
551#394C2312yes—
552#394C2314yes—
553#394C2312yes—
554#394C2312yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#392C2314yes—
559#392C2314yes—
560#392C2314yes—
561#392C2314yes—
562#392C2314yes—
563#392C2314yes—
564#392C2314yes—
565#392C2314yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2312yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2312yes—
585#392C2314yes—
586#392C2314yes—
587#392C2314yes—
588#392C2314yes—
589#392C2314yes—
590#392C2314yes—
591#392C2314yes—
592#392C2314yes—
593#392C2314yes—
594#392C2314yes—
595#392C2314yes—
596#392C2314yes—
597#392C2314yes—
598#392C2314yes—
599#392C2314yes—
600#392C2314yes—
601#392C2314yes—
602#391C2311yescharacteristic
603#391C2311yescharacteristic
604#391C2311yescharacteristic
605#391C2312yes—
606#391C2311yescharacteristic
607#390C2312yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2314yes—
612#390C2314yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2311yescharacteristic
621#390C2312yes—
622#390C2311yescharacteristic
623#390C2312yes—
624#390C2314yes—
625#390C2314yes—
626#390C2314yes—
627#390C2312yes—
628#390C2312yes—
629#390C2314yes—
630#390C2314yes—
631#390C2314yes—
632#390C2312yes—
633#390C2312yes—
634#390C2314yes—
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#390C2311yescharacteristic
639#390C2314yes—
640#390C2312yes—
641#390C2312yes—
642#390C2314yes—
643#390C2314yes—
644#390C2314yes—
645#390C2314yes—
646#390C2312yes—
647#390C2312yes—
648#390C2312yes—
649#390C2312yes—
650#390C2312yes—
651#390C2312yes—
652#390C2312yes—
653#390C2314yes—
654#390C2311yescharacteristic
655#389C2311yescharacteristic
656#389C2311yescharacteristic
657#389C2312yes—
658#389C2312yes—
659#389C2311yescharacteristic
660#389C2311yescharacteristic
661#389C2312yes—
662#389C2312yes—
663#389C2311yescharacteristic
664#389C2312yes—
665#389C2312yes—
666#389C2314yes—
667#389C2311yescharacteristic
668#389C2311yescharacteristic
669#389C2312yes—
670#389C2311yescharacteristic
671#389C2312yes—
672#389C2312yes—
673#388C2312yes—
674#388C2312yes—
675#388C2314yes—
676#388C2314yes—
677#388C2312yes—
678#388C2312yes—
679#388C2312yes—
680#388C2314yes—
681#388C2314yes—
682#388C2312yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2312yes—
692#388C2314yes—
693#388C2314yes—
694#388C2312yes—
695#388C2312yes—
696#388C2312yes—
697#387C2312yes—
698#387C2312yes—
699#387C2312yes—
700#387C2312yes—
701#387C2314yes—
702#387C2312yes—
703#387C2312yes—
704#387C2312yes—
705#387C2312yes—
706#387C2312yes—
707#387C2312yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2312yes—
712#386C2312yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2312yes—
717#386C2312yes—
718#386C2314yes—
719#386C2314yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2314yes—
727#386C2314yes—
728#386C2314yes—
729#386C2314yes—
730#386C2312yes—
731#386C2314yes—
732#386C2312yes—
733#386C2314yes—
734#386C2314yes—
735#385C2312yes—
736#385C2314yes—
737#385C2312yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2312yes—
747#385C2312yes—
748#385C2312yes—
749#385C2312yes—
750#385C2312yes—
751#385C2312yes—
752#385C2312yes—
753#385C2312yes—
754#384C2311yescharacteristic
755#384C2311yescharacteristic
756#384C2311yescharacteristic
757#384C2312yes—
758#384C2311yescharacteristic
759#384C2312yes—
760#383C2312yes—
761#382C2311yescharacteristic
762#382C2311yescharacteristic
763#382C2312yes—
764#382C2311yescharacteristic
765#382C2312yes—
766#381C2312yes—
767#381C2314yes—
768#381C2314yes—
769#381C2312yes—
770#381C2312yes—
771#380C2311yescharacteristic
772#380C2311yescharacteristic
773#380C2311yescharacteristic
774#380C2311yescharacteristic
775#380C2312yes—
776#380C2311yescharacteristic
777#380C2312yes—
778#380C2312yes—
779#380C2314yes—
780#380C2311yescharacteristic
781#380C2311yescharacteristic
782#380C2311yescharacteristic
783#379C2314yes—
784#379C2314yes—
785#379C2314yes—
786#379C2314yes—
787#379C2314yes—
788#379C2314yes—
789C4×C4⋊C4C2311yescharacteristic
790C4×C4⋊C4C2311yescharacteristic
791C4×C4⋊C4C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2311yescharacteristic
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2311yescharacteristic
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2311yescharacteristic
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2311yescharacteristic
807C4×C4⋊C4C2311yescharacteristic
808C4×C22⋊C4C2311yescharacteristic
809C4×C22⋊C4C2312yes—
810C4×C22⋊C4C2314yes—
811C4×C22⋊C4C2311yescharacteristic
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2314yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C4×C22⋊C4C2311yescharacteristic
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2311yescharacteristic
825#376C2312yes—
826C43C2311yescharacteristic
827C25C2414yes—
828C25C2414yes—
829C2×#41—24no—
830C2×#41—28no—
831C2×#41—24no—
832C2×#41—42no—
833C2×#41—44no—
834C2×#41—44no—
835C2×#41—44no—
836C2×#41—44no—
837C2×#41—44no—
838C22×Q8C2411yescharacteristic
839C22×Q8C2411yescharacteristic
840C22×D4—28no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—44no—
849C22×D4—44no—
850C22×D4—44no—
851C22×D4—44no—
852C22×D4—48no—
853C22×D4—44no—
854C22×D4—44no—
855C22×D4—44no—
856C22×D4—44no—
857C22×D4—48no—
858C22×D4—48no—
859C22×D4—82no—
860C22×D4—82no—
861C22×D4C2411yescharacteristic
862C22×D4C2411yescharacteristic
863C22×D4C2411yescharacteristic
864C22×D4C2412yes—
865C22×D4C2412yes—
866C22×D4C2412yes—
867C22×D4C2412yes—
868C22×D4C2412yes—
869C22×D4C2412yes—
870C22×D4C2412yes—
871C22×D4C2412yes—
872C22×D4C2412yes—
873C22×D4C2412yes—
874C22×D4C2414yes—
875C22×D4C2414yes—
876C22×D4C2412yes—
877C22×D4C2414yes—
878C22×D4C2414yes—
879C22×D4C2414yes—
880C22×D4C2414yes—
881C22×D4C2414yes—
882C22×D4C2414yes—
883C22×D4C2412yes—
884C22×D4C2412yes—
885C22×D4C2414yes—
886C22×D4C2414yes—
887C22×D4C2414yes—
888C22×D4C2414yes—
889C22×D4C2414yes—
890C22×D4C2414yes—
891C22×D4C2414yes—
892C22×D4C2414yes—
893C22×D4C2414yes—
894C22×D4C2414yes—
895C22×D4C2414yes—
896C22×D4C2414yes—
897C22×D4C2414yes—
898C22×D4C2414yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C23×C4C2412yes—
903C23×C4C2412yes—
904C23×C4C2411yescharacteristic
905C23×C4C2411yescharacteristic
906C23×C4C2411yescharacteristic
907C23×C4C2412yes—
908C23×C4C2411yescharacteristic
909C23×C4C2411yescharacteristic
910C23×C4C2411yescharacteristic
911C23×C4C2414yes—
912C23×C4C2414yes—
913C23×C4C2412yes—
914C23×C4C2412yes—
915C23×C4C2412yes—
916C23×C4C2414yes—
917C23×C4C2414yes—
918C23×C4C2414yes—
919C4⋊Q8—24no—
920#127—24no—
921#127—24no—
922#127—24no—
923#127—28no—
924#127—44no—
925#127—44no—
926#127—44no—
927#127—44no—
928#127—44no—
929#127—44no—
930#127—44no—
931#127—44no—
932#127—44no—
933#127—44no—
934#127—44no—
935#127—44no—
936#127—44no—
937#127—44no—
938#127—44no—
939#127—44no—
940#127—48no—
941#127—48no—
942#127—82no—
943#126—44no—
944#126—48no—
945#126—48no—
946#125—24no—
947#125—42no—
948#125—44no—
949#124—28no—
950#124—28no—
951#124—42no—
952#124—44no—
953#124—44no—
954#123—28no—
955#123—28no—
956#123—48no—
957#123—44no—
958#123—48no—
959#123—48no—
960#123—48no—
961#123—48no—
962#123—48no—
963#123—48no—
964C22⋊Q8—24no—
965C22⋊Q8—24no—
966C22⋊Q8—42no—
967#121—28no—
968#121—48no—
969#121—48no—
970#121—48no—
971#121—48no—
972#121—44no—
973#121—48no—
974#121—48no—
975#121—48no—
976#121—48no—
977#121—48no—
978#121—48no—
979#121—48no—
980#121—48no—
981#121—48no—
982#121—48no—
983#121—48no—
984#121—48no—
985#121—48no—
986#121—48no—
987#121—48no—
988#121—48no—
989#121—44no—
990#121—44no—
991#121—44no—
992#121—42no—
993#121—42no—
994#121—42no—
995#121—44no—
996#121—44no—
997#121—44no—
998#121—44no—
999#121—48no—
1000#121—44no—
1001#121—44no—
1002#121—44no—
1003#121—44no—
1004#121—44no—
1005#121—44no—
1006#121—44no—
1007#121—44no—
1008#121—48no—
1009#121—48no—
1010#121—44no—
1011#121—84no—
1012#121—84no—
1013#121—84no—
1014#121—84no—
1015#120—216no—
1016#120—48no—
1017#120—48no—
1018#120—48no—
1019#120—48no—
1020#120—48no—
1021#120—48no—
1022#120—48no—
1023#120—48no—
1024#120—48no—
1025#120—48no—
1026#120—48no—
1027#120—84no—
1028#120—84no—
1029C4×Q8—24no—
1030C4×Q8—24no—
1031C4×Q8—42no—
1032C4×Q8—44no—
1033C4×D4—24no—
1034C4×D4—28no—
1035C4×D4—24no—
1036C4×D4—24no—
1037C4×D4—24no—
1038C4×D4—28no—
1039C4×D4—24no—
1040C4×D4—24no—
1041C4×D4—44no—
1042C4×D4—42no—
1043C4×D4—42no—
1044C4×D4—44no—
1045C4×D4—44no—
1046C4×D4—44no—
1047C4×D4—44no—
1048C4×D4—44no—
1049C4×D4—44no—
1050C4×D4—44no—
1051C4×D4—44no—
1052C4×D4—44no—
1053C4×D4—44no—
1054C4×D4—44no—
1055C4×D4—48no—
1056C4×D4—48no—
1057C4×D4—48no—
1058#117—28no—
1059#117—44no—
1060#117—44no—
1061#117—44no—
1062#117—42no—
1063C2×C4⋊C4C2411yescharacteristic
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2411yescharacteristic
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2411yescharacteristic
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2411yescharacteristic
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C4⋊C4C2411yescharacteristic
1073C2×C4⋊C4C2411yescharacteristic
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2412yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2412yes—
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2412yes—
1085C2×C4⋊C4C2411yescharacteristic
1086C2×C4⋊C4C2411yescharacteristic
1087C2×C4⋊C4C2412yes—
1088C2×C4⋊C4C2412yes—
1089C2×C4⋊C4C2412yes—
1090C2×C4⋊C4C2412yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2412yes—
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2412yes—
1098C2×C4⋊C4C2412yes—
1099C2×C4⋊C4C2412yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2412yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2412yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2412yes—
1107C2×C4⋊C4C2412yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C22⋊C4—48no—
1113C2×C22⋊C4—48no—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2412yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2411yescharacteristic
1122C2×C22⋊C4C2411yescharacteristic
1123C2×C22⋊C4C2411yescharacteristic
1124C2×C22⋊C4C2411yescharacteristic
1125C2×C22⋊C4C2411yescharacteristic
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2412yes—
1145C2×C22⋊C4C2412yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
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⋊C4C2414yes—
1159C2×C22⋊C4C2414yes—
1160C2×C22⋊C4C2414yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2414yes—
1167C2×C22⋊C4C2414yes—
1168C2×C22⋊C4C2414yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2414yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2414yes—
1178C2×C22⋊C4C2414yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2412yes—
1189C2×C22⋊C4C2412yes—
1190C2×C22⋊C4C2414yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2411yescharacteristic
1193C2×C42—24no—
1194C2×C42—24no—
1195C2×C42—44no—
1196C2×C42—44no—
1197C2×C42C2411yescharacteristic
1198C2×C42C2411yescharacteristic
1199C2×C42C2412yes—
1200C2×C42C2412yes—
1201C2×C42C2412yes—
1202C2×C42C2412yes—
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2412yes—
1206C2×C42C2412yes—
1207C2×C42C2411yescharacteristic
1208C2×C42C2411yescharacteristic
1209C2×C42C2411yescharacteristic
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2412yes—
1214C2×C42C2412yes—
1215C2×C42C2412yes—
1216C2×C42C2414yes—
1217C2×C42C2412yes—
1218C2×C42C2414yes—
1219C2×C42C2411yescharacteristic
1220C2×C42C2411yescharacteristic
1221C2×C42C2411yescharacteristic
1222#95C2412yes—
1223#95C2412yes—
1224#95C2412yes—
1225#95C2412yes—
1226#95C2412yes—
1227#95C2412yes—
1228#95C2412yes—
1229#95C2411yescharacteristic
1230#95C2411yescharacteristic
1231#95C2411yescharacteristic
1232#95C2411yescharacteristic
1233#95C2411yescharacteristic
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2411yescharacteristic
1238#95C2414yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2412yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2412yes—
1252#95C2412yes—
1253#95C2412yes—
1254#95C2412yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2414yes—
1259#95C2412yes—
1260#95C2412yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2412yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2412yes—
1267#95C2412yes—
1268#95C2414yes—
1269#95C2414yes—
1270C24—28no—
1271C24—28no—
1272C24—44no—
1273C24—44no—
1274C24—44no—
1275C24—44no—
1276C24—44no—
1277C24—44no—
1278C24—44no—
1279C24—44no—
1280C24—44no—
1281C24—44no—
1282C24—44no—
1283C24—44no—
1284C24C2514yes—
1285C24C2514yes—
1286C24C2514yes—
1287C24C2512yes—
1288C24C2512yes—
1289C24C2511yescharacteristic
1290C24C2511yescharacteristic
1291#41—416no—
1292#41—816no—
1293#41—816no—
1294C2×Q8—22no—
1295C2×Q8—22no—
1296C2×Q8—22no—
1297C2×Q8—22no—
1298C2×Q8—22no—
1299C2×Q8H(5,𝔽2)14yes—
1300C2×D4—22no—
1301C2×D4—22no—
1302C2×D4—24no—
1303C2×D4—24no—
1304C2×D4—28no—
1305C2×D4—24no—
1306C2×D4—24no—
1307C2×D4—28no—
1308C2×D4—22no—
1309C2×D4—22no—
1310C2×D4—22no—
1311C2×D4—24no—
1312C2×D4—22no—
1313C2×D4—24no—
1314C2×D4—24no—
1315C2×D4—24no—
1316C2×D4—24no—
1317C2×D4—24no—
1318C2×D4—24no—
1319C2×D4—24no—
1320C2×D4—24no—
1321C2×D4—24no—
1322C2×D4—22no—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—22no—
1331C2×D4—28no—
1332C2×D4—28no—
1333C2×D4—28no—
1334C2×D4—28no—
1335C2×D4—28no—
1336C2×D4—28no—
1337C2×D4—24no—
1338C2×D4—24no—
1339C2×D4—22no—
1340C2×D4—24no—
1341C2×D4—24no—
1342C2×D4—24no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—42no—
1346C2×D4—42no—
1347C2×D4—42no—
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—42no—
1361C2×D4—42no—
1362C2×D4—44no—
1363C2×D4—44no—
1364C2×D4—44no—
1365C2×D4—44no—
1366C2×D4—44no—
1367C2×D4—44no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—44no—
1371C2×D4—44no—
1372C2×D4—44no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—44no—
1376C2×D4—44no—
1377C2×D4—44no—
1378C2×D4—44no—
1379C2×D4—44no—
1380C2×D4—44no—
1381C2×D4—44no—
1382C2×D4—44no—
1383C2×D4—44no—
1384C2×D4—44no—
1385C2×D4—44no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—44no—
1389C2×D4—44no—
1390C2×D4—44no—
1391C2×D4—44no—
1392C2×D4—44no—
1393C2×D4—44no—
1394C2×D4—44no—
1395C2×D4—44no—
1396C2×D4—44no—
1397C2×D4—44no—
1398C2×D4—44no—
1399C2×D4—44no—
1400C2×D4—44no—
1401C2×D4—44no—
1402C2×D4—44no—
1403C2×D4—44no—
1404C2×D4—44no—
1405C2×D4—44no—
1406C2×D4—44no—
1407C2×D4—44no—
1408C2×D4—44no—
1409C2×D4—44no—
1410C2×D4—44no—
1411C2×D4—44no—
1412C2×D4—44no—
1413C2×D4—44no—
1414C2×D4—44no—
1415C2×D4—44no—
1416C2×D4—44no—
1417C2×D4—44no—
1418C2×D4—44no—
1419C2×D4—44no—
1420C2×D4—44no—
1421C2×D4—44no—
1422C2×D4—44no—
1423C2×D4—816no—
1424C2×D4—816no—
1425C2×D4—816no—
1426C2×D4—816no—
1427C2×D4—816no—
1428C2×D4—816no—
1429C2×D4—832no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—22no—
1433C22×C4—22no—
1434C22×C4—22no—
1435C22×C4—22no—
1436C22×C4—22no—
1437C22×C4—22no—
1438C22×C4—24no—
1439C22×C4—24no—
1440C22×C4—24no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—22no—
1445C22×C4—24no—
1446C22×C4—24no—
1447C22×C4—24no—
1448C22×C4—22no—
1449C22×C4—24no—
1450C22×C4—24no—
1451C22×C4—22no—
1452C22×C4—22no—
1453C22×C4—28no—
1454C22×C4—24no—
1455C22×C4—28no—
1456C22×C4—24no—
1457C22×C4—24no—
1458C22×C4—42no—
1459C22×C4—41no—
1460C22×C4—41no—
1461C22×C4—42no—
1462C22×C4—42no—
1463C22×C4—42no—
1464C22×C4—44no—
1465C22×C4—44no—
1466C22×C4—44no—
1467C22×C4—44no—
1468C22×C4—44no—
1469C22×C4—44no—
1470C22×C4—44no—
1471C22×C4—42no—
1472C22×C4—42no—
1473C22×C4—42no—
1474C22×C4—44no—
1475C22×C4—44no—
1476C22×C4—44no—
1477C22×C4—44no—
1478C22×C4—44no—
1479C22×C4—44no—
1480C22×C4H(5,𝔽2)14yes—
1481C22×C4C2511yescharacteristic
1482C22×C4C2511yescharacteristic
1483C22×C4C2511yescharacteristic
1484C22×C4C2512yes—
1485C22×C4C2511yescharacteristic
1486C22×C4C2512yes—
1487C22×C4C2512yes—
1488C22×C4C2512yes—
1489C22×C4C2511yescharacteristic
1490C22×C4C2512yes—
1491C22×C4C2512yes—
1492C22×C4C2512yes—
1493C22×C4C2512yes—
1494C22×C4C2512yes—
1495C22×C4C2512yes—
1496C22×C4C2514yes—
1497C22×C4C2512yes—
1498C22×C4C2512yes—
1499C22×C4C2512yes—
1500C22×C4C2511yescharacteristic
1501C22×C4C2511yescharacteristic
1502C22×C4C2511yescharacteristic
1503C22×C4C2511yescharacteristic
1504C22×C4C2511yescharacteristic
1505C22×C4C2512yes—
1506C22×C4C2511yescharacteristic
1507C22×C4C2511yescharacteristic
1508C22×C4C2511yescharacteristic
1509C4⋊C4—24no—
1510C4⋊C4—24no—
1511C4⋊C4—22no—
1512C4⋊C4—24no—
1513C4⋊C4—22no—
1514C4⋊C4—22no—
1515C4⋊C4—24no—
1516C4⋊C4—22no—
1517C4⋊C4—22no—
1518C4⋊C4—22no—
1519C4⋊C4—24no—
1520C4⋊C4—22no—
1521C4⋊C4—22no—
1522C4⋊C4—22no—
1523C4⋊C4—22no—
1524C4⋊C4—22no—
1525C4⋊C4—24no—
1526C4⋊C4—24no—
1527C4⋊C4—24no—
1528C4⋊C4—22no—
1529C4⋊C4—24no—
1530C4⋊C4—24no—
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—22no—
1539C4⋊C4—22no—
1540C4⋊C4—22no—
1541C4⋊C4—42no—
1542C4⋊C4—42no—
1543C4⋊C4—42no—
1544C4⋊C4—42no—
1545C4⋊C4—42no—
1546C4⋊C4—42no—
1547C4⋊C4—42no—
1548C4⋊C4—42no—
1549C4⋊C4—44no—
1550C4⋊C4—44no—
1551C4⋊C4—44no—
1552C4⋊C4—44no—
1553C4⋊C4—44no—
1554C4⋊C4—42no—
1555C4⋊C4—42no—
1556C4⋊C4—42no—
1557C4⋊C4—42no—
1558C22⋊C4—24no—
1559C22⋊C4—24no—
1560C22⋊C4—22no—
1561C22⋊C4—24no—
1562C22⋊C4—24no—
1563C22⋊C4—24no—
1564C22⋊C4—28no—
1565C22⋊C4—24no—
1566C22⋊C4—24no—
1567C22⋊C4—24no—
1568C22⋊C4—22no—
1569C22⋊C4—22no—
1570C22⋊C4—22no—
1571C22⋊C4—22no—
1572C22⋊C4—28no—
1573C22⋊C4—24no—
1574C22⋊C4—24no—
1575C22⋊C4—24no—
1576C22⋊C4—28no—
1577C22⋊C4—28no—
1578C22⋊C4—28no—
1579C22⋊C4—28no—
1580C22⋊C4—28no—
1581C22⋊C4—28no—
1582C22⋊C4—24no—
1583C22⋊C4—24no—
1584C22⋊C4—42no—
1585C22⋊C4—44no—
1586C22⋊C4—44no—
1587C22⋊C4—44no—
1588C22⋊C4—42no—
1589C22⋊C4—42no—
1590C22⋊C4—42no—
1591C22⋊C4—42no—
1592C22⋊C4—42no—
1593C22⋊C4—42no—
1594C22⋊C4—42no—
1595C22⋊C4—44no—
1596C22⋊C4—44no—
1597C22⋊C4—44no—
1598C22⋊C4—44no—
1599C22⋊C4—42no—
1600C22⋊C4—44no—
1601C22⋊C4—44no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—42no—
1607C22⋊C4—42no—
1608C22⋊C4—44no—
1609C22⋊C4—44no—
1610C22⋊C4—44no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—44no—
1614C22⋊C4—44no—
1615C22⋊C4—44no—
1616C22⋊C4—44no—
1617C22⋊C4—42no—
1618C22⋊C4—44no—
1619C22⋊C4—42no—
1620C22⋊C4—44no—
1621C22⋊C4—44no—
1622C22⋊C4—44no—
1623C22⋊C4—44no—
1624C22⋊C4—44no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4—44no—
1628C22⋊C4—44no—
1629C22⋊C4—44no—
1630C22⋊C4—44no—
1631C22⋊C4—44no—
1632C22⋊C4—42no—
1633C22⋊C4—44no—
1634C22⋊C4—44no—
1635C22⋊C4—42no—
1636C22⋊C4H(5,𝔽2)14yes—
1637C42—22no—
1638C42—22no—
1639C42—22no—
1640C42—22no—
1641C42—22no—
1642C42—22no—
1643C42—22no—
1644C42—24no—
1645C42—24no—
1646C42—24no—
1647C42—24no—
1648C42—24no—
1649C42—22no—
1650C42—22no—
1651C42—24no—
1652C42—22no—
1653C42—42no—
1654C42—42no—
1655C42—42no—
1656C42—42no—
1657C42—44no—
1658C42—44no—
1659C42—41no—
1660C42H(5,𝔽2)14yes—
1661C42H(5,𝔽2)14yes—
1662C23—21no—
1663C23—21no—
1664C23—21no—
1665C23—21no—
1666C23—21no—
1667C23—21no—
1668C23—21no—
1669C23—21no—
1670C23—21no—
1671C23—21no—
1672C23—21no—
1673C23—21no—
1674C23—24no—
1675C23—22no—
1676C23—24no—
1677C23—22no—
1678C23—22no—
1679C23—24no—
1680C23—24no—
1681C23—24no—
1682C23—22no—
1683C23—22no—
1684C23—22no—
1685C23—22no—
1686C23—24no—
1687C23—24no—
1688C23—24no—
1689C23—24no—
1690C23—24no—
1691C23—22no—
1692C23—24no—
1693C23—24no—
1694C23—22no—
1695C23—24no—
1696C23—24no—
1697C23—22no—
1698C23—24no—
1699C23—22no—
1700C23—24no—
1701C23—24no—
1702C23—24no—
1703C23—22no—
1704C23—24no—
1705C23—24no—
1706C23—22no—
1707C23—22no—
1708C23—24no—
1709C23—88no—
1710C23—88no—
1711C23—88no—
1712C23—88no—
1713C23—88no—
1714C23—88no—
1715C23—88no—
1716C23—88no—
1717C23—88no—
1718C23—88no—
1719C23—164no—
1720C23—164no—
1721C23—164no—
1722C23—164no—
1723C23C2×H(5,𝔽2)12yes—
1724C23C2×H(5,𝔽2)12yes—
1725C23C2611yescharacteristic
1726Q8—28no—
1727Q8—44no—
1728D4—28no—
1729D4—48no—
1730D4—48no—
1731D4—48no—
1732D4—48no—
1733D4—48no—
1734D4—44no—
1735D4—44no—
1736D4—48no—
1737D4—48no—
1738D4—48no—
1739D4—88no—
1740D4—88no—
1741D4—88no—
1742D4—88no—
1743D4—84no—
1744D4—84no—
1745D4—88no—
1746D4—88no—
1747D4—84no—
1748D4—84no—
1749D4—84no—
1750D4—88no—
1751D4—88no—
1752D4—88no—
1753D4—88no—
1754D4—88no—
1755D4—88no—
1756D4—88no—
1757D4—88no—
1758D4—164no—
1759D4—164no—
1760D4—164no—
1761D4—164no—
1762D4—164no—
1763D4—164no—
1764D4—164no—
1765D4—164no—
1766D4—164no—
1767D4—164no—
1768D4—164no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—22no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—22no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—28no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—22no—
1789C2×C4—22no—
1790C2×C4—22no—
1791C2×C4—22no—
1792C2×C4—21no—
1793C2×C4—22no—
1794C2×C4—22no—
1795C2×C4—22no—
1796C2×C4—22no—
1797C2×C4—22no—
1798C2×C4—22no—
1799C2×C4—22no—
1800C2×C4—22no—
1801C2×C4—22no—
1802C2×C4—22no—
1803C2×C4—22no—
1804C2×C4—24no—
1805C2×C4—24no—
1806C2×C4—22no—
1807C2×C4—22no—
1808C2×C4—22no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—21no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—22no—
1819C2×C4—24no—
1820C2×C4—22no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—22no—
1824C2×C4—22no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—22no—
1828C2×C4—22no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—21no—
1832C2×C4—21no—
1833C2×C4—21no—
1834C2×C4—22no—
1835C2×C4—22no—
1836C2×C4—22no—
1837C2×C4—22no—
1838C2×C4—22no—
1839C2×C4—22no—
1840C2×C4—21no—
1841C2×C4—44no—
1842C2×C4—48no—
1843C2×C4—44no—
1844C2×C4—44no—
1845C2×C4—48no—
1846C2×C4—48no—
1847C2×C4—44no—
1848C2×C4—44no—
1849C2×C4—84no—
1850C2×C4—84no—
1851C2×C4—84no—
1852C2×C4—88no—
1853C2×C4—88no—
1854C2×C4—88no—
1855C2×C4—164no—
1856C2×C4—164no—
1857C2×C4C2×H(5,𝔽2)12yes—
1858C2×C4C2×H(5,𝔽2)12yes—
1859C2×C4C2×H(5,𝔽2)12yes—
1860C2×C4C2×H(5,𝔽2)12yes—
1861C2×C4C2×H(5,𝔽2)14yes—
1862C2×C4C2×H(5,𝔽2)12yes—
1863C2×C4C2×H(5,𝔽2)12yes—
1864C2×C4C2×H(5,𝔽2)12yes—
1865C2×C4C2×H(5,𝔽2)12yes—
1866C2×C4C2×H(5,𝔽2)12yes—
1867C2×C4C2×H(5,𝔽2)12yes—
1868C2×C4C2×H(5,𝔽2)12yes—
1869C2×C4#58512yes—
1870C22—22no—
1871C22—22no—
1872C22—22no—
1873C22—22no—
1874C22—22no—
1875C22—22no—
1876C22—41no—
1877C22—41no—
1878C22—41no—
1879C22—41no—
1880C22—41no—
1881C22—41no—
1882C22—41no—
1883C22—41no—
1884C22—42no—
1885C22—42no—
1886C22—44no—
1887C22—44no—
1888C22—44no—
1889C22—42no—
1890C22—44no—
1891C22—44no—
1892C22—44no—
1893C22—42no—
1894C22—42no—
1895C22—44no—
1896C22—44no—
1897C22—42no—
1898C22—44no—
1899C22—44no—
1900C22—44no—
1901C22—44no—
1902C22—42no—
1903C22—42no—
1904C22—42no—
1905C22—44no—
1906C22—44no—
1907C22—44no—
1908C22—42no—
1909C22—42no—
1910C22—44no—
1911C22—44no—
1912C22—42no—
1913C22—44no—
1914C22—42no—
1915C22—44no—
1916C22—42no—
1917C22—44no—
1918C22—44no—
1919C22—1616no—
1920C22—1616no—
1921C22C22×H(5,𝔽2)11yescharacteristic
1922C22C22×H(5,𝔽2)11yescharacteristic
1923C22C22×H(5,𝔽2)11yescharacteristic
1924C22C22×H(5,𝔽2)11yescharacteristic
1925C22C22×H(5,𝔽2)11yescharacteristic
1926C22C2×#58511yescharacteristic
1927C22H(7,𝔽2)11yescharacteristic
1928C4—22no—
1929C4—24no—
1930C4—22no—
1931C4—22no—
1932C4—22no—
1933C4—22no—
1934C4—22no—
1935C4—42no—
1936C4—41no—
1937C4—42no—
1938C4—42no—
1939C4—41no—
1940C4—41no—
1941C4—42no—
1942C4—42no—
1943C4—44no—
1944C4—42no—
1945C4—42no—
1946C4—41no—
1947C4—42no—
1948C4—42no—
1949C4—42no—
1950C4—42no—
1951C4—42no—
1952C4—42no—
1953C4—41no—
1954C4#353714yes—
1955C4#354614yes—
1956C2—42no—
1957C2—42no—
1958C2—82no—
1959C2—82no—
1960C2—84no—
1961C2—84no—
1962C2—84no—
1963C2C2×#353711yescharacteristic
1964C2C2×#354611yescharacteristic
1965C2#6283211yescharacteristic
1966C2#6291211yescharacteristic
1967C2#6291611yescharacteristic
1968C2#6295511yescharacteristic
1969C2#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. #59679C2semidirect
2. #59124C2semidirect
3. #59124C2semidirect
4. #55579C2semidirect
5. #55054C2semidirect
6. #54933C2semidirect
7. #53090C2semidirect
8. #52969C2semidirect
9. #47928C2semidirect
10. #45487C2semidirect
11. #45487C2semidirect
12. #44927C2semidirect
13. #44881C2semidirect
14. #42895C2semidirect
15. #42616C2semidirect
16. #42474C2semidirect
17. #42430C2semidirect
18. #40053C2semidirect
19. #39888C2semidirect
20. #39818C2semidirect
21. #39736C2semidirect
22. #39386C2semidirect
23. #39147C2semidirect
24. #39138C2semidirect
25. #37681C2semidirect
26. #37614C2semidirect
27. #37331C2semidirect
28. #37298C2semidirect
29. #36455C2semidirect
30. #36128C2semidirect
31. D4×#127C2semidirect
32. #35272C2semidirect
33. #35171C2semidirect
34. #34917C2semidirect
35. #34724C2semidirect
36. C2×#560C22semidirect
37. C2×#550C22semidirect
38. C2×#550C22semidirect
39. C2×#550C22semidirect
40. C2×#546C22semidirect
41. C2×#546C22semidirect
45. C2×#540C22semidirect
46. C2×#540C22semidirect
47. C2×#535C22semidirect
48. C2×#532C22semidirect
51. C2×#529C22semidirect
52. C2×C4×#41C22semidirect
56. #2856C22semidirect
57. #2856C22semidirect
58. #2856C22semidirect
59. #2856C22semidirect
60. #2856C22semidirect
61. #2854C22semidirect
62. #2828C22semidirect
63. #2825C22semidirect
64. #2818C22semidirect
65. #2815C22semidirect
66. #2815C22semidirect
67. #2815C22semidirect
68. #2815C22semidirect
69. #2812C22semidirect
70. #2803C22semidirect
71. #2800C22semidirect
72. #2797C22semidirect
73. #2778C22semidirect
74. #2761C22semidirect
75. #2757C22semidirect
76. #2714C22semidirect
77. #2714C22semidirect
78. #2714C22semidirect
79. #2714C22semidirect
80. #2714C22semidirect
81. #2708C22semidirect
82. #2701C22semidirect
83. #2701C22semidirect
84. #2699C22semidirect
85. #2697C22semidirect
86. #2697C22semidirect
87. #2691C22semidirect
88. #2688C22semidirect
89. #2688C22semidirect
90. #2688C22semidirect
91. #2685C22semidirect
92. #2682C22semidirect
93. #2682C22semidirect
94. #2682C22semidirect
95. #2682C22semidirect
96. #2678C22semidirect
97. #2678C22semidirect
98. #2678C22semidirect
99. #2678C22semidirect
100. #2678C22semidirect
101. #2678C22semidirect
102. #2678C22semidirect
103. #2675C22semidirect
104. #2675C22semidirect
105. #2675C22semidirect
106. #2675C22semidirect
107. #2675C22semidirect
108. #2673C22semidirect
109. #2673C22semidirect
110. #2673C22semidirect
111. #2673C22semidirect
112. #2673C22semidirect
113. #2669C22semidirect
114. #2669C22semidirect
115. #2669C22semidirect
116. #2669C22semidirect
117. #2669C22semidirect
118. #2668C22semidirect
119. #2661C22semidirect
120. #2661C22semidirect
121. #2657C22semidirect
122. #2648C22semidirect
123. #2644C22semidirect
124. #2641C22semidirect
125. #2630C22semidirect
126. #2622C22semidirect
127. #2620C22semidirect
128. #2619C22semidirect
129. #2619C22semidirect
130. #2619C22semidirect
131. #2619C22semidirect
132. #2619C22semidirect
134. #2613C22semidirect
135. #2602C22semidirect
136. #2578C22semidirect
137. #2576C22semidirect
138. #2570C22semidirect
139. #2566C22semidirect
140. #2566C22semidirect
141. #2566C22semidirect
142. #2566C22semidirect
144. #2559C22semidirect
145. #2552C22semidirect
148. #2548C22semidirect
149. #2548C22semidirect
150. #2548C22semidirect
151. #2545C22semidirect
157. #2541C22semidirect
158. #2541C22semidirect
159. #2541C22semidirect
160. #2541C22semidirect
161. #2541C22semidirect
162. #2541C22semidirect
163. #2541C22semidirect
164. #2541C22semidirect
165. #2541C22semidirect
166. #2541C22semidirect
167. #2541C22semidirect
168. #2541C22semidirect
169. #2537C22semidirect
170. #2537C22semidirect
172. #2535C22semidirect
173. #2534C22semidirect
174. #2515C22semidirect
175. #2513C22semidirect
176. #2513C22semidirect
177. #2512C22semidirect
178. #2512C22semidirect
179. #2512C22semidirect
180. #2512C22semidirect
181. #2497C22semidirect
182. #2494C22semidirect
183. #2490C22semidirect
184. #2490C22semidirect
185. #2490C22semidirect
186. #2490C22semidirect
187. #2478C22semidirect
188. #2470C22semidirect
189. #2466C22semidirect
190. #2466C22semidirect
191. #2464C22semidirect
192. #2464C22semidirect
194. #2456C22semidirect
195. #2456C22semidirect
197. #2453C22semidirect
198. #2447C22semidirect
199. #2447C22semidirect
200. #2447C22semidirect
201. #2445C22semidirect
202. #2445C22semidirect
203. #2445C22semidirect
204. #2445C22semidirect
205. #2441C22semidirect
206. #2435C22semidirect
214. #2433C22semidirect
215. #2433C22semidirect
216. #2433C22semidirect
217. #2432C22semidirect
218. #2431C22semidirect
219. #2431C22semidirect
220. #2431C22semidirect
221. #2431C22semidirect
222. #2431C22semidirect
223. #2429C22semidirect
224. #2428C22semidirect
225. #2428C22semidirect
226. #2428C22semidirect
227. #2428C22semidirect
228. #2428C22semidirect
229. #2428C22semidirect
230. #2428C22semidirect
231. #2428C22semidirect
232. #2428C22semidirect
233. #2428C22semidirect
234. #2426C22semidirect
235. #2424C22semidirect
236. #2424C22semidirect
237. #2424C22semidirect
238. #2422C22semidirect
239. #2422C22semidirect
240. #2422C22semidirect
241. #2422C22semidirect
242. #2422C22semidirect
243. #2420C22semidirect
244. #2420C22semidirect
246. #2414C22semidirect
247. #2414C22semidirect
249. #2410C22semidirect
250. #2410C22semidirect
251. #2408C22semidirect
252. #2408C22semidirect
253. #2408C22semidirect
254. #2408C22semidirect
255. #2408C22semidirect
256. #2408C22semidirect
257. #2408C22semidirect
259. #2407C22semidirect
261. #2401C22semidirect
262. #2395C22semidirect
265. #2367C22semidirect
266. #2366C22semidirect
267. #2366C22semidirect
268. #2366C22semidirect
269. #2366C22semidirect
270. #2357C22semidirect
271. #2355C22semidirect
272. Q8×C4⋊C4C22semidirect
273. #2341C22semidirect
274. D4×C22⋊C4C22semidirect
275. D4×C22⋊C4C22semidirect
276. #2326C22semidirect
277. #2324C22semidirect
278. #2324C22semidirect
279. #2324C22semidirect
280. #2321C22semidirect
281. #2309C22semidirect
282. C4×C4⋊Q8C22semidirect
284. C4×#125C22semidirect
285. C4×C22⋊Q8C22semidirect
286. C4×C22⋊Q8C22semidirect
287. C4×#123C22semidirect
288. C4×#123C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. C4×#121C22semidirect
292. #2296C22semidirect
293. #2293C22semidirect
294. #2290C22semidirect
295. #2285C22semidirect
296. #2283C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#596792
#591242
#555792
#550542
#549332
#530902
#529692
#479282
#454872
#449272
#448812
#428952
#426162
#424742
#424302
#400532
#398882
#398182
#397362
#393862
#391472
#391382
#376812
#376142
#373312
#372982
#364552
#361282
D4×#1272
#352722
#351712
#349172
#347242