Finite Group Databasebeta

← #8095649

Subgroups — #8095649

Order 512.

5725 conjugacy classes of subgroups.

The subgroup lattice has 2024 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53137C212yesmaximal, complemented
2#53103C212yesmaximal, complemented
3#53098C212yesmaximal, complemented
4#53078C212yesmaximal, complemented
5#53064C212yesmaximal, complemented
6#53055C212yesmaximal, complemented
7#53045C212yesmaximal, complemented
8#53044C212yesmaximal, complemented
9#52369C214yesmaximal, complemented
10#52313C214yesmaximal, complemented
11#46342C212yesmaximal, complemented
12#46339C212yesmaximal, complemented
13#46338C212yesmaximal, complemented
14#46333C212yesmaximal, complemented
15#45646C212yesmaximal, complemented
16#45624C212yesmaximal, complemented
17#45600C212yesmaximal, complemented
18#45578C214yesmaximal, complemented
19#45550C214yesmaximal, complemented
20#45508C212yesmaximal, complemented
21#35564C211yesmaximal, characteristic, complemented
22#35564C211yesmaximal, characteristic, complemented
23#35518C211yesmaximal, characteristic, complemented
24#35518C211yesmaximal, characteristic, complemented
25#35516C211yesmaximal, characteristic, complemented
26#35516C211yesmaximal, characteristic, complemented
27#35267C211yesmaximal, characteristic, complemented
28#35267C211yesmaximal, characteristic, complemented
29#35251C211yesmaximal, characteristic, complemented
30#35251C211yesmaximal, characteristic, complemented
31#35150C211yesmaximal, characteristic, complemented
32#35150C211yesmaximal, characteristic, complemented
33#34936C211yesmaximal, characteristic, complemented
34C2×#2485C211yesmaximal, characteristic, complemented
35#34736C211yesmaximal, characteristic, complemented
36C23×#41C2211yescharacteristic
37C2×#537C2211yescharacteristic
38C2×#537C2211yescharacteristic
39C2×#537C2211yescharacteristic
40C2×#537C2211yescharacteristic
41C2×#532C2211yescharacteristic, complemented
42C2×#525C2211yescharacteristic
43C2×#525C2211yescharacteristic
44C2×#525C2211yescharacteristic
45C2×#525C2211yescharacteristic
46C2×#525C2211yescharacteristic, complemented
47C2×#525C2211yescharacteristic, complemented
48C2×#520C2211yescharacteristic, complemented
49C2×#520C2211yescharacteristic, complemented
50C22×C4×D4C2211yescharacteristic
51C22×#117C2211yescharacteristic, complemented
52#2863C2212yescomplemented
53#2863C2212yescomplemented
54#2860C2212yescomplemented
55#2860C2212yescomplemented
56#2854C2214yescomplemented
57#2854C2214yescomplemented
58#2848C2212yescomplemented
59#2848C2212yescomplemented
60#2847C2212yescomplemented
61#2847C2212yescomplemented
62#2838C2214yescomplemented
63#2838C2214yescomplemented
64#2837C2214yescomplemented
65#2830C2214yescomplemented
66#2829C2214yescomplemented
67#2829C2214yescomplemented
68#2829C2214yescomplemented
69#2828C2214yescomplemented
70#2828C2214yescomplemented
71#2828C2214yescomplemented
72#2828C2214yescomplemented
73#2827C2214yescomplemented
74#2826C2214yes—
75#2825C2214yescomplemented
76#2825C2214yescomplemented
77#2824C2214yescomplemented
78#2818C2214yescomplemented
79#2815C2214yescomplemented
80#2813C2214yescomplemented
81#2812C2214yes—
82#2807C2214yescomplemented
83#2803C2214yescomplemented
84#2803C2214yescomplemented
85#2803C2214yescomplemented
86#2801C2214yescomplemented
87#2797C2214yescomplemented
88#2797C2214yescomplemented
89#2797C2214yescomplemented
90#2796C2214yescomplemented
91#2796C2214yescomplemented
92#2796C2214yescomplemented
93#2795C2214yescomplemented
94#2792C2214yescomplemented
95#2790C2214yescomplemented
96#2780C2214yescomplemented
97#2778C2214yes—
98#2778C2214yescomplemented
99#2757C2214yes—
100#2757C2214yescomplemented
101#2756C2214yescomplemented
102#2752C2214yescomplemented
103#2749C2214yescomplemented
104#2746C2214yescomplemented
105#2742C2214yescomplemented
106#2737C2214yescomplemented
107#2737C2214yescomplemented
108#2735C2214yescomplemented
109#2714C2214yescomplemented
110#2714C2214yescomplemented
111#2709C2214yes—
112#2705C2214yescomplemented
113#2703C2214yescomplemented
114#2691C2214yescomplemented
115#2688C2214yescomplemented
116#2685C2214yes—
117#2685C2214yescomplemented
118#2678C2214yes—
119#2678C2214yescomplemented
120#2673C2214yescomplemented
121#2669C2214yes—
122#2645C2212yescomplemented
123#2645C2212yescomplemented
124#2644C2212yescomplemented
125#2644C2212yescomplemented
126#2617C2214yescomplemented
127#2617C2214yescomplemented
128#2616C2212yescomplemented
129#2616C2212yescomplemented
130#2615C2212yescomplemented
131#2615C2212yescomplemented
132#2543C2214yescomplemented
133#2543C2214yescomplemented
134#2542C2211yescharacteristic
135#2542C2211yescharacteristic, complemented
136#2541C2211yescharacteristic
137#2541C2211yescharacteristic, complemented
138#2540C2211yescharacteristic
139#2540C2211yescharacteristic
140#2540C2211yescharacteristic, complemented
141#2540C2211yescharacteristic, complemented
142#2539C2212yes—
143#2539C2212yescomplemented
144#2538C2212yescomplemented
145#2538C2212yescomplemented
146#2537C2212yescomplemented
147#2537C2212yescomplemented
148#2536C2212yescomplemented
149#2536C2212yescomplemented
150#2535C2212yescomplemented
151#2535C2212yescomplemented
152#2510C2214yescomplemented
153#2510C2214yescomplemented
154#2501C2212yescomplemented
155#2497C2212yescomplemented
156#2497C2212yescomplemented
157#2496C2212yescomplemented
158#2496C2212yescomplemented
159#2495C2212yescomplemented
160#2495C2212yescomplemented
161#2494C2212yescomplemented
162#2494C2212yescomplemented
163#2487C2212yescomplemented
164#2487C2212yescomplemented
165#2486C2212yescomplemented
166#2486C2212yescomplemented
167#2485C2212yes—
168#2485C2212yes—
169#2485C2212yes—
170#2485C2212yes—
171#2485C2212yescomplemented
172#2485C2212yescomplemented
173#2485C2212yescomplemented
174#2485C2212yescomplemented
175#2485C2212yescomplemented
176#2485C2212yescomplemented
177#2485C2212yescomplemented
178#2485C2212yescomplemented
179#2481C2214yescomplemented
180#2481C2214yescomplemented
181#2433C2212yes—
182#2430C2214yes—
183#2430C2214yes—
184#2429C2212yescomplemented
185#2429C2212yescomplemented
186#2428C2212yescomplemented
187#2428C2212yescomplemented
188#2427C2212yescomplemented
189#2427C2212yescomplemented
190#2426C2212yescomplemented
191#2426C2212yescomplemented
192#2425C2214yescomplemented
193#2425C2214yescomplemented
194#2424C2214yescomplemented
195#2424C2214yescomplemented
196#2423C2212yescomplemented
197#2423C2212yescomplemented
198#2422C2212yescomplemented
199#2422C2212yescomplemented
200#2421C2212yescomplemented
201#2421C2212yescomplemented
202#2420C2212yescomplemented
203#2420C2212yescomplemented
204#2419C2214yescomplemented
205#2419C2214yescomplemented
206#2418C2214yes—
207#2418C2214yes—
208#2417C2212yescomplemented
209#2417C2212yescomplemented
210#2417C2212yescomplemented
211#2417C2212yescomplemented
212#2416C2212yescomplemented
213#2416C2212yescomplemented
214#2416C2212yescomplemented
215#2416C2214yescomplemented
216#2416C2214yescomplemented
217#2416C2212yescomplemented
218#2415C2212yescomplemented
219#2415C2212yescomplemented
220#2415C2212yescomplemented
221#2415C2212yescomplemented
222#2415C2212yescomplemented
223#2415C2212yescomplemented
224#2415C2212yescomplemented
225#2415C2212yescomplemented
226#2415C2212yescomplemented
227#2415C2212yescomplemented
228#2415C2212yescomplemented
229#2415C2212yescomplemented
230#2414C2212yescomplemented
231#2414C2212yescomplemented
232#2414C2212yescomplemented
233#2414C2212yescomplemented
234#2414C2212yescomplemented
235#2414C2212yescomplemented
236#2414C2212yescomplemented
237#2414C2212yescomplemented
238#2414C2212yescomplemented
239#2414C2212yescomplemented
240#2414C2212yescomplemented
241#2414C2212yescomplemented
242#2410C2214yes—
243#2410C2214yes—
244#2409C2211yescharacteristic
245#2409C2211yescharacteristic
246#2409C2212yescomplemented
247#2409C2212yescomplemented
248#2408C2211yescharacteristic
249#2408C2211yescharacteristic
250#2408C2212yescomplemented
251#2408C2212yescomplemented
252#2407C2211yescharacteristic
253#2407C2211yescharacteristic
254#2407C2211yescharacteristic
255#2407C2211yescharacteristic
256#2407C2212yescomplemented
257#2407C2212yescomplemented
258#2407C2212yescomplemented
259#2407C2212yescomplemented
260#2406C2212yes—
261#2405C2212yes—
262#2404C2212yes—
263#2403C2212yes—
264#2397C2212yes—
265#2397C2212yescomplemented
266C2×#397C2212yescomplemented
267#2388C2212yes—
268#2388C2212yes—
269C2×#394C2212yes—
270#2383C2214yescomplemented
271#2377C2214yescomplemented
272#2376C2214yescomplemented
273#2375C2214yescomplemented
274#2317C2211yescharacteristic, complemented
275#2317C2211yescharacteristic, complemented
276#2316C2211yescharacteristic, complemented
277#2316C2211yescharacteristic, complemented
278#2311C2211yescharacteristic
279#2311C2211yescharacteristic
280#2311C2211yescharacteristic
281#2311C2211yescharacteristic
282#2311C2211yescharacteristic, complemented
283#2311C2211yescharacteristic, complemented
284C4×#127C2212yes—
285C4×#127C2212yescomplemented
286C4×#120C2212yes—
287C4×#120C2212yes—
288#2297C2211yescharacteristic
289#2297C2211yescharacteristic
290C2×#389C2211yescharacteristic, complemented
291C2×#389C2211yescharacteristic, complemented
292C2×#388C2212yes—
293C2×#387C2212yescomplemented
294#2280C2211yescharacteristic
295C2×#380C2211yescharacteristic
296C2×#380C2211yescharacteristic
297C2×#380C2211yescharacteristic, complemented
298C4×#117C2211yescharacteristic, complemented
299C22×#41—44no—
300C22×#41—44no—
301C22×#41—44no—
302C22×#41C2311yescharacteristic
303C22×#41C2311yescharacteristic
304C22×#41C2311yescharacteristic
305C22×#41C2311yescharacteristic
306C22×#41C2312yes—
307C22×#41C2312yes—
308C22×#41C2311yescharacteristic
309C22×#41C2311yescharacteristic
310C23×Q8C2311yescharacteristic
311C23×D4C2312yes—
312C23×D4C2311yescharacteristic
313C23×D4C2311yescharacteristic
314C24×C4C2311yescharacteristic
315C24×C4C2311yescharacteristic
316C24×C4C2312yes—
317#537—44no—
318#537—44no—
319#537—44no—
320#537—44no—
321#532—44no—
322C2×C4⋊Q8C2311yescharacteristic
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2311yescharacteristic
326C2×#126C2314yes—
327C2×#126C2314yes—
328C2×#124C2311yescharacteristic
329C2×#124C2311yescharacteristic
330#525—44no—
331#525—44no—
332#525—44no—
333#525—44no—
334#525—44no—
335#525—44no—
336C2×#123C2312yes—
337C2×#123C2312yes—
338C2×#123C2312yes—
339C2×#123C2312yes—
340C2×#123C2314yes—
341C2×#123C2312yes—
342C2×#123C2312yes—
343C2×#123C2314yes—
344C2×C22⋊Q8C2311yescharacteristic
345C2×C22⋊Q8C2311yescharacteristic
346C2×C22⋊Q8C2312yes—
347C2×C22⋊Q8C2312yes—
348C2×C22⋊Q8C2312yes—
349C2×C22⋊Q8C2312yes—
350C2×C22⋊Q8C2311yescharacteristic
351C2×C22⋊Q8C2311yescharacteristic
352C2×C22⋊Q8C2311yescharacteristic
353C2×C22⋊Q8C2311yescharacteristic
354C2×C22⋊Q8C2311yescharacteristic
355C2×C22⋊Q8C2311yescharacteristic
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2311yescharacteristic
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2311yescharacteristic
364C2×#121C2311yescharacteristic
365C2×#121C2311yescharacteristic
366C2×#121C2312yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2314yes—
371C2×#121C2314yes—
372C2×#121C2311yescharacteristic
373C2×#121C2311yescharacteristic
374C2×#121C2314yes—
375C2×#121C2311yescharacteristic
376C2×#121C2311yescharacteristic
377C2×#121C2311yescharacteristic
378C2×#121C2311yescharacteristic
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2312yes—
382C2×#121C2312yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2311yescharacteristic
386C2×#121C2311yescharacteristic
387C2×#121C2311yescharacteristic
388C2×#121C2311yescharacteristic
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2314yes—
392C2×#121C2314yes—
393C2×#121C2314yes—
394C2×#120C2314yes—
395C2×#120C2312yes—
396C2×#120C2312yes—
397C2×#120C2312yes—
398C2×#120C2312yes—
399C2×#120C2312yes—
400C2×#120C2312yes—
401C2×#120C2312yes—
402C2×#120C2312yes—
403C2×#120C2314yes—
404#520—44no—
405#520—44no—
406C2×C4×Q8C2312yes—
407C2×C4×Q8C2312yes—
408C2×C4×D4—44no—
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2312yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2311yescharacteristic
421C2×C4×D4C2311yescharacteristic
422C2×C4×D4C2312yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2312yes—
425C2×C4×D4C2312yes—
426C2×C4×D4C2311yescharacteristic
427C2×C4×D4C2312yes—
428C2×C4×D4C2311yescharacteristic
429C2×C4×D4C2311yescharacteristic
430C2×C4×D4C2311yescharacteristic
431C2×C4×D4C2314yes—
432C2×C4×D4C2314yes—
433C2×C4×D4C2312yes—
434C2×C4×D4C2312yes—
435C2×#117—44no—
436C2×#117C2311yescharacteristic
437C2×#117C2311yescharacteristic
438C2×#117C2311yescharacteristic
439C2×#117C2311yescharacteristic
440C2×#117C2312yes—
441C2×#117C2312yes—
442C2×#117C2312yes—
443C2×#117C2312yes—
444C2×#117C2312yes—
445C2×#117C2312yes—
446C22×C4⋊C4C2311yescharacteristic
447C22×C4⋊C4C2311yescharacteristic
448C22×C4⋊C4C2311yescharacteristic
449C22×C4⋊C4C2311yescharacteristic
450C22×C4⋊C4C2312yes—
451C22×C4⋊C4C2311yescharacteristic
452C22×C4⋊C4C2312yes—
453C22×C4⋊C4C2312yes—
454C22×C4⋊C4C2312yes—
455C22×C22⋊C4C2312yes—
456C22×C22⋊C4C2312yes—
457C22×C22⋊C4C2311yescharacteristic
458C22×C22⋊C4C2311yescharacteristic
459C22×C22⋊C4C2312yes—
460C22×C22⋊C4C2312yes—
461C22×C42C2311yescharacteristic
462C22×C42C2312yes—
463#401C2314yes—
464#401C2314yes—
465#400C2314yes—
466#400C2314yes—
467#400C2314yes—
468#400C2314yes—
469#400C2314yes—
470#400C2314yes—
471#400C2314yes—
472#400C2314yes—
473#399C2314yes—
474#399C2312yes—
475#399C2312yes—
476#399C2312yes—
477#399C2314yes—
478#399C2312yes—
479#399C2312yes—
480#399C2312yes—
481#399C2312yes—
482#399C2312yes—
483#398C2314yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2314yes—
488#398C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#397C2314yes—
501#397C2314yes—
502#397C2314yes—
503#397C2314yes—
504#397C2314yes—
505#397C2314yes—
506#397C2314yes—
507#397C2314yes—
508#397C2314yes—
509#397C2314yes—
510#397C2314yes—
511#397C2314yes—
512#397C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#395C2314yes—
524#395C2314yes—
525#395C2312yes—
526#395C2312yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
538#394C2314yes—
539#394C2314yes—
540#394C2314yes—
541#394C2314yes—
542#394C2314yes—
543#394C2314yes—
544#394C2312yes—
545#394C2314yes—
546#394C2314yes—
547#394C2314yes—
548#394C2314yes—
549#394C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2312yes—
555#394C2314yes—
556#394C2314yes—
557#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2312yes—
561#394C2314yes—
562#394C2314yes—
563#394C2312yes—
564#394C2312yes—
565#394C2312yes—
566#394C2314yes—
567#393C2312yes—
568#393C2314yes—
569#393C2314yes—
570#393C2312yes—
571#392C2312yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2312yes—
578#392C2312yes—
579#392C2312yes—
580#392C2312yes—
581#392C2314yes—
582#392C2314yes—
583#392C2314yes—
584#392C2314yes—
585#392C2312yes—
586#392C2312yes—
587#392C2314yes—
588#392C2314yes—
589#392C2312yes—
590#392C2312yes—
591#392C2312yes—
592#392C2314yes—
593#392C2312yes—
594#392C2312yes—
595#392C2314yes—
596#392C2314yes—
597#392C2312yes—
598#392C2312yes—
599#391C2312yes—
600#391C2312yes—
601#391C2312yes—
602#391C2312yes—
603#391C2312yes—
604#391C2312yes—
605#391C2311yescharacteristic
606#391C2311yescharacteristic
607#391C2311yescharacteristic
608#391C2311yescharacteristic
609#390C2312yes—
610#390C2312yes—
611#390C2312yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2312yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2312yes—
625#390C2312yes—
626#390C2312yes—
627#390C2314yes—
628#390C2314yes—
629#390C2314yes—
630#390C2314yes—
631#390C2314yes—
632#390C2314yes—
633#390C2314yes—
634#390C2311yescharacteristic
635#390C2311yescharacteristic
636#390C2314yes—
637#390C2311yescharacteristic
638#390C2311yescharacteristic
639#389C2312yes—
640#389C2312yes—
641#389C2312yes—
642#389C2312yes—
643#389C2312yes—
644#389C2312yes—
645#389C2312yes—
646#389C2312yes—
647#389C2312yes—
648#389C2312yes—
649#389C2312yes—
650#389C2312yes—
651#389C2314yes—
652#389C2314yes—
653#389C2314yes—
654#389C2314yes—
655#389C2314yes—
656#389C2312yes—
657#389C2312yes—
658#389C2314yes—
659#389C2314yes—
660#389C2314yes—
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2312yes—
665#389C2312yes—
666#389C2312yes—
667#388C2314yes—
668#388C2314yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2314yes—
682#388C2314yes—
683#388C2314yes—
684#388C2314yes—
685#388C2314yes—
686#388C2314yes—
687#388C2314yes—
688#388C2314yes—
689#388C2314yes—
690#388C2314yes—
691#388C2314yes—
692#388C2314yes—
693#388C2314yes—
694#388C2314yes—
695#388C2314yes—
696#388C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2314yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2314yes—
708#387C2314yes—
709#387C2314yes—
710#387C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2312yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2312yes—
726#386C2314yes—
727#386C2312yes—
728#386C2314yes—
729#386C2314yes—
730#386C2314yes—
731#386C2314yes—
732#386C2314yes—
733#386C2314yes—
734#386C2314yes—
735#386C2314yes—
736#386C2312yes—
737#386C2312yes—
738#386C2312yes—
739#386C2312yes—
740#386C2312yes—
741#386C2312yes—
742#386C2312yes—
743#385C2314yes—
744#385C2314yes—
745#385C2314yes—
746#385C2314yes—
747#385C2314yes—
748#385C2314yes—
749#385C2314yes—
750#385C2314yes—
751#385C2314yes—
752#385C2312yes—
753#385C2312yes—
754#385C2314yes—
755#385C2312yes—
756#385C2312yes—
757#385C2312yes—
758#385C2312yes—
759#384C2312yes—
760#384C2312yes—
761#384C2312yes—
762#384C2312yes—
763#383C2314yes—
764#383C2314yes—
765#382C2312yes—
766#382C2312yes—
767#381C2314yes—
768#381C2312yes—
769#381C2314yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2312yes—
782#380C2314yes—
783#380C2314yes—
784#380C2312yes—
785#380C2312yes—
786#380C2312yes—
787#380C2312yes—
788#380C2314yes—
789#380C2314yes—
790#380C2314yes—
791#380C2311yescharacteristic
792#380C2311yescharacteristic
793#380C2312yes—
794#380C2312yes—
795#380C2311yescharacteristic
796#380C2311yescharacteristic
797#380C2312yes—
798#380C2312yes—
799#380C2312yes—
800#380C2312yes—
801#380C2314yes—
802#380C2312yes—
803#380C2312yes—
804#379C2314yes—
805#379C2314yes—
806#379C2312yes—
807#379C2312yes—
808#379C2312yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2311yescharacteristic
812C4×C4⋊C4C2311yescharacteristic
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821#376C2312yes—
822C2×#95C2312yes—
823C2×#95C2312yes—
824C2×#95C2312yes—
825C2×#95C2312yes—
826C2×#95C2312yes—
827C43C2312yes—
828C25C2411yescharacteristic
829C25C2411yescharacteristic
830C25C2412yes—
831C2×#41—24no—
832C2×#41—24no—
833C2×#41—24no—
834C2×#41—24no—
835C2×#41—24no—
836C2×#41—24no—
837C2×#41—24no—
838C2×#41—24no—
839C2×#41—24no—
840C2×#41—24no—
841C2×#41—24no—
842C2×#41—24no—
843C2×#41—44no—
844C2×#41—44no—
845C2×#41—44no—
846C2×#41—44no—
847C2×#41—44no—
848C2×#41—44no—
849C2×#41—42no—
850C2×#41—42no—
851C2×#41—42no—
852C2×#41—42no—
853C2×#41—42no—
854C2×#41—42no—
855C2×#41—464no—
856C22×Q8—42no—
857C22×Q8—42no—
858C22×Q8—42no—
859C22×Q8C2411yescharacteristic
860C22×Q8C2411yescharacteristic
861C22×Q8C2411yescharacteristic
862C22×Q8C2411yescharacteristic
863C22×Q8C2412yes—
864C22×D4—42no—
865C22×D4—42no—
866C22×D4—42no—
867C22×D4—42no—
868C22×D4—42no—
869C22×D4—42no—
870C22×D4—44no—
871C22×D4—44no—
872C22×D4—44no—
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2411yescharacteristic
876C22×D4C2411yescharacteristic
877C22×D4C2412yes—
878C22×D4C2412yes—
879C22×D4C2411yescharacteristic
880C22×D4C2411yescharacteristic
881C22×D4C2411yescharacteristic
882C22×D4C2411yescharacteristic
883C22×D4C2411yescharacteristic
884C22×D4C2412yes—
885C22×D4C2412yes—
886C22×D4C2412yes—
887C22×D4C2411yescharacteristic
888C22×D4C2412yes—
889C22×D4C2412yes—
890C22×D4C2412yes—
891C22×D4C2412yes—
892C22×D4C2412yes—
893C22×D4C2412yes—
894C22×D4C2412yes—
895C22×D4C2412yes—
896C22×D4C2412yes—
897C22×D4C2412yes—
898C22×D4C2412yes—
899C22×D4C2414yes—
900C22×D4C2414yes—
901C22×D4C2414yes—
902C22×D4C2414yes—
903C22×D4C2412yes—
904C22×D4C2412yes—
905C22×D4C2412yes—
906C23×C4—24no—
907C23×C4—24no—
908C23×C4—24no—
909C23×C4—24no—
910C23×C4—24no—
911C23×C4—24no—
912C23×C4—44no—
913C23×C4—44no—
914C23×C4—44no—
915C23×C4C2411yescharacteristic
916C23×C4C2411yescharacteristic
917C23×C4C2412yes—
918C23×C4C2412yes—
919C23×C4C2411yescharacteristic
920C23×C4C2411yescharacteristic
921C23×C4C2411yescharacteristic
922C23×C4C2411yescharacteristic
923C23×C4C2411yescharacteristic
924C23×C4C2411yescharacteristic
925C23×C4C2411yescharacteristic
926C23×C4C2411yescharacteristic
927C23×C4C2412yes—
928C23×C4C2412yes—
929C23×C4C2411yescharacteristic
930C23×C4C2412yes—
931C23×C4C2412yes—
932C23×C4C2411yescharacteristic
933C23×C4C2412yes—
934C23×C4C2412yes—
935C23×C4C2414yes—
936C23×C4C2414yes—
937C23×C4C2412yes—
938C23×C4C2412yes—
939C23×C4C2412yes—
940C23×C4C2411yescharacteristic
941C4⋊Q8—42no—
942#127—44no—
943#127—42no—
944#127—44no—
945#126—48no—
946#126—84no—
947#124—42no—
948#124—42no—
949#123—48no—
950#123—44no—
951#123—44no—
952#123—44no—
953#123—44no—
954#123—44no—
955#123—44no—
956#123—84no—
957C22⋊Q8—42no—
958C22⋊Q8—42no—
959C22⋊Q8—42no—
960C22⋊Q8—42no—
961C22⋊Q8—42no—
962C22⋊Q8—42no—
963C22⋊Q8—42no—
964C22⋊Q8—42no—
965C22⋊Q8—42no—
966C22⋊Q8—42no—
967C22⋊Q8—42no—
968C22⋊Q8—42no—
969C22⋊Q8—44no—
970C22⋊Q8—44no—
971C22⋊Q8—44no—
972C22⋊Q8—44no—
973C22⋊Q8—44no—
974C22⋊Q8—44no—
975C22⋊Q8—44no—
976C22⋊Q8—44no—
977#121—48no—
978#121—42no—
979#121—42no—
980#121—42no—
981#121—42no—
982#121—42no—
983#121—42no—
984#121—42no—
985#121—42no—
986#121—42no—
987#121—42no—
988#121—42no—
989#121—42no—
990#121—44no—
991#121—44no—
992#121—44no—
993#121—44no—
994#121—44no—
995#121—44no—
996#121—44no—
997#121—44no—
998#121—44no—
999#121—44no—
1000#121—48no—
1001#121—48no—
1002#121—48no—
1003#121—48no—
1004#121—84no—
1005#121—84no—
1006#121—84no—
1007#120—44no—
1008#120—48no—
1009#120—44no—
1010#120—44no—
1011#120—44no—
1012#120—44no—
1013#120—44no—
1014#120—44no—
1015#120—44no—
1016#120—84no—
1017C4×Q8—44no—
1018C4×Q8—44no—
1019C4×D4—44no—
1020C4×D4—44no—
1021C4×D4—42no—
1022C4×D4—42no—
1023C4×D4—42no—
1024C4×D4—42no—
1025C4×D4—42no—
1026C4×D4—42no—
1027C4×D4—42no—
1028C4×D4—42no—
1029C4×D4—44no—
1030C4×D4—44no—
1031C4×D4—44no—
1032C4×D4—44no—
1033C4×D4—44no—
1034C4×D4—44no—
1035C4×D4—44no—
1036C4×D4—44no—
1037C4×D4—44no—
1038C4×D4—44no—
1039C4×D4—44no—
1040C4×D4—44no—
1041C4×D4—44no—
1042C4×D4—44no—
1043C4×D4—48no—
1044C4×D4—48no—
1045#117—24no—
1046#117—24no—
1047#117—24no—
1048#117—24no—
1049#117—44no—
1050#117—44no—
1051#117—44no—
1052#117—44no—
1053#117—44no—
1054#117—44no—
1055C2×C4⋊C4—24no—
1056C2×C4⋊C4—24no—
1057C2×C4⋊C4—24no—
1058C2×C4⋊C4—24no—
1059C2×C4⋊C4—44no—
1060C2×C4⋊C4—44no—
1061C2×C4⋊C4—44no—
1062C2×C4⋊C4—42no—
1063C2×C4⋊C4—82no—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2411yescharacteristic
1067C2×C4⋊C4C2411yescharacteristic
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2412yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2412yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2411yescharacteristic
1076C2×C4⋊C4C2411yescharacteristic
1077C2×C4⋊C4C2411yescharacteristic
1078C2×C4⋊C4C2411yescharacteristic
1079C2×C4⋊C4C2411yescharacteristic
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2411yescharacteristic
1082C2×C4⋊C4C2411yescharacteristic
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2414yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2414yes—
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⋊C4C2412yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2414yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2414yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2414yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2414yes—
1114C2×C4⋊C4C2414yes—
1115C2×C4⋊C4C2414yes—
1116C2×C22⋊C4—44no—
1117C2×C22⋊C4—44no—
1118C2×C22⋊C4—42no—
1119C2×C22⋊C4—42no—
1120C2×C22⋊C4—82no—
1121C2×C22⋊C4—82no—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2412yes—
1127C2×C22⋊C4C2412yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2411yescharacteristic
1133C2×C22⋊C4C2411yescharacteristic
1134C2×C22⋊C4C2411yescharacteristic
1135C2×C22⋊C4C2411yescharacteristic
1136C2×C22⋊C4C2411yescharacteristic
1137C2×C22⋊C4C2411yescharacteristic
1138C2×C22⋊C4C2411yescharacteristic
1139C2×C22⋊C4C2411yescharacteristic
1140C2×C22⋊C4C2414yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2412yes—
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2412yes—
1157C2×C22⋊C4C2412yes—
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2412yes—
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2412yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2412yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2412yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2412yes—
1172C2×C22⋊C4C2412yes—
1173C2×C22⋊C4C2412yes—
1174C2×C22⋊C4C2412yes—
1175C2×C22⋊C4C2414yes—
1176C2×C22⋊C4C2414yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2414yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2414yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2414yes—
1185C2×C22⋊C4C2414yes—
1186C2×C22⋊C4C2414yes—
1187C2×C22⋊C4C2414yes—
1188C2×C22⋊C4C2414yes—
1189C2×C22⋊C4C2414yes—
1190C2×C22⋊C4C2412yes—
1191C2×C22⋊C4C2414yes—
1192C2×C22⋊C4C2414yes—
1193C2×C22⋊C4C2414yes—
1194C2×C22⋊C4C2412yes—
1195C2×C22⋊C4C2414yes—
1196C2×C22⋊C4C2412yes—
1197C2×C22⋊C4C2414yes—
1198C2×C22⋊C4C2414yes—
1199C2×C22⋊C4C2412yes—
1200C2×C22⋊C4C2412yes—
1201C2×C22⋊C4C2412yes—
1202C2×C22⋊C4C2414yes—
1203C2×C22⋊C4C2414yes—
1204C2×C42—24no—
1205C2×C42—44no—
1206C2×C42C2412yes—
1207C2×C42C2412yes—
1208C2×C42C2412yes—
1209C2×C42C2412yes—
1210C2×C42C2411yescharacteristic
1211C2×C42C2411yescharacteristic
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214C2×C42C2412yes—
1215C2×C42C2414yes—
1216C2×C42C2414yes—
1217C2×C42C2414yes—
1218C2×C42C2414yes—
1219C2×C42C2412yes—
1220C2×C42C2412yes—
1221C2×C42C2412yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2412yes—
1233#95C2412yes—
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2412yes—
1238#95C2412yes—
1239#95C2412yes—
1240#95C2412yes—
1241#95C2412yes—
1242#95C2412yes—
1243#95C2412yes—
1244#95C2412yes—
1245#95C2412yes—
1246#95C2412yes—
1247#95C2412yes—
1248#95C2414yes—
1249#95C2414yes—
1250#95C2414yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2414yes—
1254#95C2414yes—
1255#95C2414yes—
1256#95C2414yes—
1257#95C2414yes—
1258#95C2414yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2414yes—
1263#95C2414yes—
1264#95C2414yes—
1265#95C2414yes—
1266#95C2414yes—
1267#95C2414yes—
1268C24—22no—
1269C24—22no—
1270C24—22no—
1271C24—22no—
1272C24—22no—
1273C24—22no—
1274C24—22no—
1275C24—24no—
1276C24—41no—
1277C24—41no—
1278C24—42no—
1279C24—42no—
1280C24—42no—
1281C24—41no—
1282C24—41no—
1283C24—41no—
1284C24—41no—
1285C24—41no—
1286C24—42no—
1287C24—42no—
1288C24—42no—
1289C24C2511yescharacteristic
1290C24C2511yescharacteristic
1291C24C2511yescharacteristic
1292C24C2512yes—
1293C24C2512yes—
1294C24C2512yes—
1295C24C2512yes—
1296C24C2511yescharacteristic
1297C24C2511yescharacteristic
1298#41—432no—
1299#41—416no—
1300#41—416no—
1301#41—432no—
1302#41—416no—
1303#41—416no—
1304#41—416no—
1305#41—416no—
1306C2×Q8—22no—
1307C2×Q8—22no—
1308C2×Q8—22no—
1309C2×Q8—22no—
1310C2×Q8—22no—
1311C2×Q8—22no—
1312C2×Q8—22no—
1313C2×Q8—22no—
1314C2×Q8—22no—
1315C2×Q8—22no—
1316C2×Q8—22no—
1317C2×Q8—22no—
1318C2×Q8—42no—
1319C2×Q8—42no—
1320C2×Q8—42no—
1321C2×Q8—416no—
1322C2×D4—24no—
1323C2×D4—24no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—24no—
1328C2×D4—24no—
1329C2×D4—24no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—24no—
1333C2×D4—24no—
1334C2×D4—22no—
1335C2×D4—22no—
1336C2×D4—24no—
1337C2×D4—24no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—22no—
1344C2×D4—22no—
1345C2×D4—22no—
1346C2×D4—22no—
1347C2×D4—22no—
1348C2×D4—22no—
1349C2×D4—22no—
1350C2×D4—22no—
1351C2×D4—22no—
1352C2×D4—24no—
1353C2×D4—41no—
1354C2×D4—41no—
1355C2×D4—41no—
1356C2×D4—41no—
1357C2×D4—41no—
1358C2×D4—41no—
1359C2×D4—41no—
1360C2×D4—41no—
1361C2×D4—42no—
1362C2×D4—42no—
1363C2×D4—42no—
1364C2×D4—42no—
1365C2×D4—42no—
1366C2×D4—42no—
1367C2×D4—42no—
1368C2×D4—42no—
1369C2×D4—42no—
1370C2×D4—42no—
1371C2×D4—42no—
1372C2×D4—42no—
1373C2×D4—42no—
1374C2×D4—42no—
1375C2×D4—42no—
1376C2×D4—42no—
1377C2×D4—42no—
1378C2×D4—42no—
1379C2×D4—42no—
1380C2×D4—42no—
1381C2×D4—42no—
1382C2×D4—42no—
1383C2×D4—42no—
1384C2×D4—42no—
1385C2×D4—42no—
1386C2×D4—42no—
1387C2×D4—42no—
1388C2×D4—42no—
1389C2×D4—42no—
1390C2×D4—42no—
1391C2×D4—42no—
1392C2×D4—42no—
1393C2×D4—42no—
1394C2×D4—42no—
1395C2×D4—42no—
1396C2×D4—42no—
1397C2×D4—42no—
1398C2×D4—42no—
1399C2×D4—42no—
1400C2×D4—42no—
1401C2×D4—42no—
1402C2×D4—42no—
1403C2×D4—42no—
1404C2×D4—42no—
1405C2×D4—42no—
1406C2×D4—42no—
1407C2×D4—42no—
1408C2×D4—42no—
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—416no—
1422C2×D4—432no—
1423C2×D4—416no—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—22no—
1429C22×C4—22no—
1430C22×C4—22no—
1431C22×C4—22no—
1432C22×C4—24no—
1433C22×C4—24no—
1434C22×C4—24no—
1435C22×C4—24no—
1436C22×C4—24no—
1437C22×C4—24no—
1438C22×C4—22no—
1439C22×C4—22no—
1440C22×C4—22no—
1441C22×C4—22no—
1442C22×C4—22no—
1443C22×C4—22no—
1444C22×C4—22no—
1445C22×C4—22no—
1446C22×C4—22no—
1447C22×C4—22no—
1448C22×C4—22no—
1449C22×C4—22no—
1450C22×C4—24no—
1451C22×C4—24no—
1452C22×C4—24no—
1453C22×C4—24no—
1454C22×C4—22no—
1455C22×C4—22no—
1456C22×C4—22no—
1457C22×C4—22no—
1458C22×C4—22no—
1459C22×C4—22no—
1460C22×C4—22no—
1461C22×C4—22no—
1462C22×C4—24no—
1463C22×C4—24no—
1464C22×C4—22no—
1465C22×C4—22no—
1466C22×C4—22no—
1467C22×C4—22no—
1468C22×C4—24no—
1469C22×C4—24no—
1470C22×C4—24no—
1471C22×C4—24no—
1472C22×C4—22no—
1473C22×C4—42no—
1474C22×C4—42no—
1475C22×C4—42no—
1476C22×C4—42no—
1477C22×C4—42no—
1478C22×C4—42no—
1479C22×C4—42no—
1480C22×C4—42no—
1481C22×C4—42no—
1482C22×C4—41no—
1483C22×C4—42no—
1484C22×C4—42no—
1485C22×C4—42no—
1486C22×C4—42no—
1487C22×C4—42no—
1488C22×C4—42no—
1489C22×C4—42no—
1490C22×C4—41no—
1491C22×C4—41no—
1492C22×C4—42no—
1493C22×C4—44no—
1494C22×C4—44no—
1495C22×C4—44no—
1496C22×C4—44no—
1497C22×C4—44no—
1498C22×C4—44no—
1499C22×C4—432no—
1500C22×C4—416no—
1501C22×C4—416no—
1502C22×C4H(5,𝔽2)14yes—
1503C22×C4H(5,𝔽2)14yes—
1504C22×C4H(5,𝔽2)14yes—
1505C22×C4C2512yes—
1506C22×C4C2512yes—
1507C22×C4C2511yescharacteristic
1508C22×C4C2511yescharacteristic
1509C22×C4C2511yescharacteristic
1510C22×C4C2511yescharacteristic
1511C22×C4C2512yes—
1512C22×C4C2512yes—
1513C22×C4C2512yes—
1514C22×C4C2512yes—
1515C22×C4C2514yes—
1516C22×C4C2514yes—
1517C22×C4C2512yes—
1518C22×C4C2512yes—
1519C22×C4C2514yes—
1520C22×C4C2514yes—
1521C22×C4C2511yescharacteristic
1522C22×C4C2512yes—
1523C22×C4C2512yes—
1524C22×C4C2511yescharacteristic
1525C22×C4C2511yescharacteristic
1526C22×C4C2512yes—
1527C22×C4C2512yes—
1528C22×C4C2511yescharacteristic
1529C22×C4C2511yescharacteristic
1530C22×C4C2511yescharacteristic
1531C4⋊C4—24no—
1532C4⋊C4—24no—
1533C4⋊C4—24no—
1534C4⋊C4—24no—
1535C4⋊C4—24no—
1536C4⋊C4—24no—
1537C4⋊C4—24no—
1538C4⋊C4—24no—
1539C4⋊C4—22no—
1540C4⋊C4—22no—
1541C4⋊C4—22no—
1542C4⋊C4—22no—
1543C4⋊C4—22no—
1544C4⋊C4—22no—
1545C4⋊C4—22no—
1546C4⋊C4—22no—
1547C4⋊C4—28no—
1548C4⋊C4—44no—
1549C4⋊C4—41no—
1550C4⋊C4—41no—
1551C4⋊C4—41no—
1552C4⋊C4—41no—
1553C4⋊C4—44no—
1554C4⋊C4—44no—
1555C4⋊C4—44no—
1556C4⋊C4—44no—
1557C4⋊C4—44no—
1558C4⋊C4—42no—
1559C4⋊C4—42no—
1560C4⋊C4—42no—
1561C4⋊C4—42no—
1562C4⋊C4—42no—
1563C4⋊C4—42no—
1564C4⋊C4—42no—
1565C4⋊C4—42no—
1566C4⋊C4—42no—
1567C4⋊C4—42no—
1568C4⋊C4—42no—
1569C4⋊C4—42no—
1570C4⋊C4—42no—
1571C4⋊C4—42no—
1572C4⋊C4—44no—
1573C4⋊C4—44no—
1574C4⋊C4—44no—
1575C4⋊C4—44no—
1576C4⋊C4—44no—
1577C4⋊C4—44no—
1578C4⋊C4—44no—
1579C4⋊C4—44no—
1580C4⋊C4—44no—
1581C4⋊C4—44no—
1582C4⋊C4—44no—
1583C22⋊C4—24no—
1584C22⋊C4—24no—
1585C22⋊C4—24no—
1586C22⋊C4—24no—
1587C22⋊C4—28no—
1588C22⋊C4—24no—
1589C22⋊C4—24no—
1590C22⋊C4—24no—
1591C22⋊C4—44no—
1592C22⋊C4—44no—
1593C22⋊C4—44no—
1594C22⋊C4—41no—
1595C22⋊C4—41no—
1596C22⋊C4—41no—
1597C22⋊C4—41no—
1598C22⋊C4—41no—
1599C22⋊C4—41no—
1600C22⋊C4—41no—
1601C22⋊C4—41no—
1602C22⋊C4—44no—
1603C22⋊C4—44no—
1604C22⋊C4—44no—
1605C22⋊C4—44no—
1606C22⋊C4—42no—
1607C22⋊C4—44no—
1608C22⋊C4—42no—
1609C22⋊C4—44no—
1610C22⋊C4—42no—
1611C22⋊C4—44no—
1612C22⋊C4—44no—
1613C22⋊C4—42no—
1614C22⋊C4—42no—
1615C22⋊C4—42no—
1616C22⋊C4—42no—
1617C22⋊C4—42no—
1618C22⋊C4—42no—
1619C22⋊C4—42no—
1620C22⋊C4—42no—
1621C22⋊C4—42no—
1622C22⋊C4—42no—
1623C22⋊C4—42no—
1624C22⋊C4—42no—
1625C22⋊C4—42no—
1626C22⋊C4—42no—
1627C22⋊C4—42no—
1628C22⋊C4—42no—
1629C22⋊C4—42no—
1630C22⋊C4—42no—
1631C22⋊C4—42no—
1632C22⋊C4—42no—
1633C22⋊C4—42no—
1634C22⋊C4—42no—
1635C22⋊C4—42no—
1636C22⋊C4—42no—
1637C22⋊C4—42no—
1638C22⋊C4—42no—
1639C22⋊C4—42no—
1640C22⋊C4—42no—
1641C22⋊C4—44no—
1642C22⋊C4—44no—
1643C22⋊C4—42no—
1644C22⋊C4—42no—
1645C22⋊C4—42no—
1646C22⋊C4—44no—
1647C22⋊C4—44no—
1648C22⋊C4—44no—
1649C22⋊C4—44no—
1650C22⋊C4—44no—
1651C22⋊C4—44no—
1652C22⋊C4—44no—
1653C22⋊C4—44no—
1654C22⋊C4—44no—
1655C22⋊C4—44no—
1656C22⋊C4—44no—
1657C22⋊C4—42no—
1658C22⋊C4—44no—
1659C22⋊C4—44no—
1660C22⋊C4—44no—
1661C22⋊C4—42no—
1662C22⋊C4—44no—
1663C22⋊C4—44no—
1664C22⋊C4—42no—
1665C42—22no—
1666C42—22no—
1667C42—22no—
1668C42—22no—
1669C42—24no—
1670C42—24no—
1671C42—24no—
1672C42—24no—
1673C42—24no—
1674C42—44no—
1675C42—44no—
1676C42—42no—
1677C42—44no—
1678C42—44no—
1679C42—42no—
1680C42—42no—
1681C23—21no—
1682C23—21no—
1683C23—21no—
1684C23—21no—
1685C23—21no—
1686C23—21no—
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—21no—
1693C23—21no—
1694C23—21no—
1695C23—21no—
1696C23—21no—
1697C23—22no—
1698C23—22no—
1699C23—22no—
1700C23—22no—
1701C23—22no—
1702C23—22no—
1703C23—21no—
1704C23—21no—
1705C23—21no—
1706C23—22no—
1707C23—22no—
1708C23—22no—
1709C23—22no—
1710C23—22no—
1711C23—22no—
1712C23—22no—
1713C23—22no—
1714C23—21no—
1715C23—22no—
1716C23—22no—
1717C23—22no—
1718C23—22no—
1719C23—22no—
1720C23—22no—
1721C23—21no—
1722C23—21no—
1723C23—21no—
1724C23—21no—
1725C23—21no—
1726C23—21no—
1727C23—22no—
1728C23—21no—
1729C23—21no—
1730C23—22no—
1731C23—22no—
1732C23—22no—
1733C23—22no—
1734C23—22no—
1735C23—21no—
1736C23—22no—
1737C23—22no—
1738C23—21no—
1739C23—21no—
1740C23—44no—
1741C23—44no—
1742C23—44no—
1743C23—44no—
1744C23—44no—
1745C23—48no—
1746C23—44no—
1747C23—44no—
1748C23—82no—
1749C23—82no—
1750C23—82no—
1751C23—82no—
1752C23—82no—
1753C23—82no—
1754C23—82no—
1755C23—84no—
1756C23—84no—
1757C23—84no—
1758C23—84no—
1759C23—84no—
1760C23—84no—
1761C23C2×H(5,𝔽2)12yes—
1762C23C2×H(5,𝔽2)12yes—
1763C23C2×H(5,𝔽2)12yes—
1764C23#58512yes—
1765C23C2611yescharacteristic
1766Q8—48no—
1767Q8—44no—
1768Q8—44no—
1769Q8—44no—
1770Q8—44no—
1771D4—44no—
1772D4—44no—
1773D4—44no—
1774D4—44no—
1775D4—48no—
1776D4—48no—
1777D4—48no—
1778D4—48no—
1779D4—48no—
1780D4—48no—
1781D4—48no—
1782D4—44no—
1783D4—44no—
1784D4—44no—
1785D4—44no—
1786D4—84no—
1787D4—84no—
1788D4—84no—
1789D4—84no—
1790D4—84no—
1791D4—84no—
1792D4—84no—
1793D4—84no—
1794D4—84no—
1795D4—84no—
1796D4—84no—
1797D4—84no—
1798D4—84no—
1799D4—84no—
1800D4—164no—
1801D4—164no—
1802D4—164no—
1803D4—164no—
1804C2×C4—21no—
1805C2×C4—21no—
1806C2×C4—21no—
1807C2×C4—21no—
1808C2×C4—21no—
1809C2×C4—22no—
1810C2×C4—22no—
1811C2×C4—22no—
1812C2×C4—22no—
1813C2×C4—22no—
1814C2×C4—22no—
1815C2×C4—22no—
1816C2×C4—22no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—24no—
1820C2×C4—24no—
1821C2×C4—22no—
1822C2×C4—22no—
1823C2×C4—24no—
1824C2×C4—24no—
1825C2×C4—21no—
1826C2×C4—21no—
1827C2×C4—21no—
1828C2×C4—21no—
1829C2×C4—22no—
1830C2×C4—22no—
1831C2×C4—22no—
1832C2×C4—22no—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—22no—
1840C2×C4—22no—
1841C2×C4—22no—
1842C2×C4—22no—
1843C2×C4—22no—
1844C2×C4—22no—
1845C2×C4—22no—
1846C2×C4—22no—
1847C2×C4—22no—
1848C2×C4—22no—
1849C2×C4—22no—
1850C2×C4—24no—
1851C2×C4—22no—
1852C2×C4—24no—
1853C2×C4—22no—
1854C2×C4—22no—
1855C2×C4—21no—
1856C2×C4—24no—
1857C2×C4—24no—
1858C2×C4—21no—
1859C2×C4—21no—
1860C2×C4—22no—
1861C2×C4—22no—
1862C2×C4—24no—
1863C2×C4—24no—
1864C2×C4—22no—
1865C2×C4—24no—
1866C2×C4—22no—
1867C2×C4—21no—
1868C2×C4—21no—
1869C2×C4—22no—
1870C2×C4—22no—
1871C2×C4—22no—
1872C2×C4—22no—
1873C2×C4—24no—
1874C2×C4—21no—
1875C2×C4—44no—
1876C2×C4—48no—
1877C2×C4—48no—
1878C2×C4—48no—
1879C2×C4—44no—
1880C2×C4—44no—
1881C2×C4—44no—
1882C2×C4—44no—
1883C2×C4—44no—
1884C2×C4—44no—
1885C2×C4—44no—
1886C2×C4—44no—
1887C2×C4—44no—
1888C2×C4—44no—
1889C2×C4—48no—
1890C2×C4—48no—
1891C2×C4—48no—
1892C2×C4—48no—
1893C2×C4—84no—
1894C2×C4—82no—
1895C2×C4—84no—
1896C2×C4—84no—
1897C2×C4—84no—
1898C2×C4—164no—
1899C2×C4—164no—
1900C2×C4#560116yes—
1901C2×C4C2×H(5,𝔽2)12yes—
1902C2×C4C2×H(5,𝔽2)12yes—
1903C2×C4C2×H(5,𝔽2)12yes—
1904C2×C4C2×H(5,𝔽2)12yes—
1905C2×C4C2×H(5,𝔽2)12yes—
1906C2×C4C2×H(5,𝔽2)12yes—
1907C2×C4#58512yes—
1908C22—22no—
1909C22—22no—
1910C22—22no—
1911C22—22no—
1912C22—22no—
1913C22—22no—
1914C22—22no—
1915C22—22no—
1916C22—22no—
1917C22—41no—
1918C22—41no—
1919C22—41no—
1920C22—41no—
1921C22—41no—
1922C22—41no—
1923C22—41no—
1924C22—42no—
1925C22—42no—
1926C22—42no—
1927C22—42no—
1928C22—42no—
1929C22—42no—
1930C22—42no—
1931C22—41no—
1932C22—41no—
1933C22—41no—
1934C22—42no—
1935C22—41no—
1936C22—41no—
1937C22—42no—
1938C22—42no—
1939C22—42no—
1940C22—41no—
1941C22—42no—
1942C22—42no—
1943C22—41no—
1944C22—41no—
1945C22—41no—
1946C22—42no—
1947C22—42no—
1948C22—42no—
1949C22—42no—
1950C22—42no—
1951C22—41no—
1952C22—41no—
1953C22—41no—
1954C22—42no—
1955C22—42no—
1956C22—42no—
1957C22—41no—
1958C22—41no—
1959C22—42no—
1960C22—42no—
1961C22—42no—
1962C22—41no—
1963C22—41no—
1964C22—41no—
1965C22—41no—
1966C22—42no—
1967C22—42no—
1968C22—42no—
1969C22—42no—
1970C22—88no—
1971C22—88no—
1972C22—816no—
1973C22C2×#56014yes—
1974C22C22×H(5,𝔽2)11yescharacteristic
1975C22C22×H(5,𝔽2)11yescharacteristic
1976C22C22×H(5,𝔽2)11yescharacteristic
1977C22C2×#58511yescharacteristic
1978C22C2×#58511yescharacteristic
1979C22H(7,𝔽2)11yescharacteristic
1980C222−1+611yescharacteristic
1981C4—22no—
1982C4—41no—
1983C4—44no—
1984C4—41no—
1985C4—41no—
1986C4—44no—
1987C4—42no—
1988C4—42no—
1989C4—44no—
1990C4—42no—
1991C4—42no—
1992C4—41no—
1993C4—41no—
1994C4—41no—
1995C4—41no—
1996C4—42no—
1997C4—42no—
1998C4—42no—
1999C4—42no—
2000C4—44no—
2001C4—42no—
2002C4—42no—
2003C4—42no—
2004C4—42no—
2005C4C2×#56014yes—
2006C4C2×#56014yes—
2007C2—24no—
2008C2—42no—
2009C2—82no—
2010C2—82no—
2011C2—81no—
2012C2—81no—
2013C2—81no—
2014C2—82no—
2015C2—82no—
2016C2C22×#56011yescharacteristic
2017C2#6282111yescharacteristic
2018C2#6287511yescharacteristic
2019C2#6292711yescharacteristic
2020C2#6293011yescharacteristic
2021C2#6295711yescharacteristic
2022C2#6296011yescharacteristic
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. #53137C2semidirect
2. #53103C2semidirect
3. #53098C2semidirect
4. #53078C2semidirect
5. #53064C2semidirect
6. #53055C2semidirect
7. #53045C2semidirect
8. #53044C2semidirect
9. #52369C2semidirect
10. #52313C2semidirect
11. #46342C2semidirect
12. #46339C2semidirect
13. #46338C2semidirect
14. #46333C2semidirect
15. #45646C2semidirect
16. #45624C2semidirect
17. #45600C2semidirect
18. #45578C2semidirect
19. #45550C2semidirect
20. #45508C2semidirect
21. #35564C2semidirect
22. #35564C2semidirect
23. #35518C2semidirect
24. #35518C2semidirect
25. #35516C2semidirect
26. #35516C2semidirect
27. #35267C2semidirect
28. #35267C2semidirect
29. #35251C2semidirect
30. #35251C2semidirect
31. #35150C2semidirect
32. #35150C2semidirect
33. #34936C2semidirect
34. C2×#2485C2semidirect
35. #34736C2semidirect
41. C2×#532C22semidirect
46. C2×#525C22semidirect
47. C2×#525C22semidirect
48. C2×#520C22semidirect
49. C2×#520C22semidirect
51. C22×#117C22semidirect
52. #2863C22semidirect
53. #2863C22semidirect
54. #2860C22semidirect
55. #2860C22semidirect
56. #2854C22semidirect
57. #2854C22semidirect
58. #2848C22semidirect
59. #2848C22semidirect
60. #2847C22semidirect
61. #2847C22semidirect
62. #2838C22semidirect
63. #2838C22semidirect
64. #2837C22semidirect
65. #2830C22semidirect
66. #2829C22semidirect
67. #2829C22semidirect
68. #2829C22semidirect
69. #2828C22semidirect
70. #2828C22semidirect
71. #2828C22semidirect
72. #2828C22semidirect
73. #2827C22semidirect
75. #2825C22semidirect
76. #2825C22semidirect
77. #2824C22semidirect
78. #2818C22semidirect
79. #2815C22semidirect
80. #2813C22semidirect
82. #2807C22semidirect
83. #2803C22semidirect
84. #2803C22semidirect
85. #2803C22semidirect
86. #2801C22semidirect
87. #2797C22semidirect
88. #2797C22semidirect
89. #2797C22semidirect
90. #2796C22semidirect
91. #2796C22semidirect
92. #2796C22semidirect
93. #2795C22semidirect
94. #2792C22semidirect
95. #2790C22semidirect
96. #2780C22semidirect
98. #2778C22semidirect
100. #2757C22semidirect
101. #2756C22semidirect
102. #2752C22semidirect
103. #2749C22semidirect
104. #2746C22semidirect
105. #2742C22semidirect
106. #2737C22semidirect
107. #2737C22semidirect
108. #2735C22semidirect
109. #2714C22semidirect
110. #2714C22semidirect
112. #2705C22semidirect
113. #2703C22semidirect
114. #2691C22semidirect
115. #2688C22semidirect
117. #2685C22semidirect
119. #2678C22semidirect
120. #2673C22semidirect
122. #2645C22semidirect
123. #2645C22semidirect
124. #2644C22semidirect
125. #2644C22semidirect
126. #2617C22semidirect
127. #2617C22semidirect
128. #2616C22semidirect
129. #2616C22semidirect
130. #2615C22semidirect
131. #2615C22semidirect
132. #2543C22semidirect
133. #2543C22semidirect
135. #2542C22semidirect
137. #2541C22semidirect
140. #2540C22semidirect
141. #2540C22semidirect
143. #2539C22semidirect
144. #2538C22semidirect
145. #2538C22semidirect
146. #2537C22semidirect
147. #2537C22semidirect
148. #2536C22semidirect
149. #2536C22semidirect
150. #2535C22semidirect
151. #2535C22semidirect
152. #2510C22semidirect
153. #2510C22semidirect
154. #2501C22semidirect
155. #2497C22semidirect
156. #2497C22semidirect
157. #2496C22semidirect
158. #2496C22semidirect
159. #2495C22semidirect
160. #2495C22semidirect
161. #2494C22semidirect
162. #2494C22semidirect
163. #2487C22semidirect
164. #2487C22semidirect
165. #2486C22semidirect
166. #2486C22semidirect
171. #2485C22semidirect
172. #2485C22semidirect
173. #2485C22semidirect
174. #2485C22semidirect
175. #2485C22semidirect
176. #2485C22semidirect
177. #2485C22semidirect
178. #2485C22semidirect
179. #2481C22semidirect
180. #2481C22semidirect
184. #2429C22semidirect
185. #2429C22semidirect
186. #2428C22semidirect
187. #2428C22semidirect
188. #2427C22semidirect
189. #2427C22semidirect
190. #2426C22semidirect
191. #2426C22semidirect
192. #2425C22semidirect
193. #2425C22semidirect
194. #2424C22semidirect
195. #2424C22semidirect
196. #2423C22semidirect
197. #2423C22semidirect
198. #2422C22semidirect
199. #2422C22semidirect
200. #2421C22semidirect
201. #2421C22semidirect
202. #2420C22semidirect
203. #2420C22semidirect
204. #2419C22semidirect
205. #2419C22semidirect
208. #2417C22semidirect
209. #2417C22semidirect
210. #2417C22semidirect
211. #2417C22semidirect
212. #2416C22semidirect
213. #2416C22semidirect
214. #2416C22semidirect
215. #2416C22semidirect
216. #2416C22semidirect
217. #2416C22semidirect
218. #2415C22semidirect
219. #2415C22semidirect
220. #2415C22semidirect
221. #2415C22semidirect
222. #2415C22semidirect
223. #2415C22semidirect
224. #2415C22semidirect
225. #2415C22semidirect
226. #2415C22semidirect
227. #2415C22semidirect
228. #2415C22semidirect
229. #2415C22semidirect
230. #2414C22semidirect
231. #2414C22semidirect
232. #2414C22semidirect
233. #2414C22semidirect
234. #2414C22semidirect
235. #2414C22semidirect
236. #2414C22semidirect
237. #2414C22semidirect
238. #2414C22semidirect
239. #2414C22semidirect
240. #2414C22semidirect
241. #2414C22semidirect
246. #2409C22semidirect
247. #2409C22semidirect
250. #2408C22semidirect
251. #2408C22semidirect
256. #2407C22semidirect
257. #2407C22semidirect
258. #2407C22semidirect
259. #2407C22semidirect
265. #2397C22semidirect
266. C2×#397C22semidirect
270. #2383C22semidirect
271. #2377C22semidirect
272. #2376C22semidirect
273. #2375C22semidirect
274. #2317C22semidirect
275. #2317C22semidirect
276. #2316C22semidirect
277. #2316C22semidirect
282. #2311C22semidirect
283. #2311C22semidirect
285. C4×#127C22semidirect
290. C2×#389C22semidirect
291. C2×#389C22semidirect
293. C2×#387C22semidirect
297. C2×#380C22semidirect
298. C4×#117C22semidirect

Maximal subgroups

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

subgroupindex
#531372
#531032
#530982
#530782
#530642
#530552
#530452
#530442
#523692
#523132
#463422
#463392
#463382
#463332
#456462
#456242
#456002
#455782
#455502
#455082
#355642
#355182
#355162
#352672
#352512
#351502
#349362
C2×#24852
#347362