Finite Group Databasebeta

← #8094760

Subgroups — #8094760

Order 512.

5436 conjugacy classes of subgroups.

The subgroup lattice has 1859 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#53108C212yesmaximal, complemented
2#53106C212yesmaximal, complemented
3#53106C212yesmaximal, complemented
4#53105C212yesmaximal, complemented
5#52984C212yesmaximal, complemented
6#52979C212yesmaximal, complemented
7#52973C212yesmaximal, complemented
8#52973C212yesmaximal, complemented
9#52312C214yesmaximal, complemented
10#52311C214yesmaximal, complemented
11#45726C214yesmaximal, complemented
12#45718C212yesmaximal, complemented
13#45653C212yesmaximal, complemented
14#45639C212yesmaximal, complemented
15#45610C212yesmaximal, complemented
16#45610C212yesmaximal, complemented
17#45516C212yesmaximal, complemented
18#45484C212yesmaximal, complemented
19#45484C212yesmaximal, complemented
20#45454C214yesmaximal, complemented
21#35585C211yesmaximal, characteristic, complemented
22#35556C211yesmaximal, characteristic, complemented
23#35556C211yesmaximal, characteristic, complemented
24#35541C211yesmaximal, characteristic, complemented
25#35528C211yesmaximal, characteristic, complemented
26#35515C211yesmaximal, characteristic, complemented
27#35272C211yesmaximal, characteristic, complemented
28#35256C211yesmaximal, characteristic, complemented
29#35255C211yesmaximal, characteristic, complemented
30#35254C211yesmaximal, characteristic, complemented
31#35172C211yesmaximal, characteristic, complemented
32#35168C211yesmaximal, characteristic, complemented
33#34947C211yesmaximal, characteristic, complemented
34#34745C211yesmaximal, characteristic, complemented
35C2×#2445C211yesmaximal, characteristic, complemented
36C2×#562C2214yescomplemented
37C2×#537C2211yescharacteristic
38C2×#535C2211yescharacteristic
39C2×#535C2211yescharacteristic
40C2×#535C2211yescharacteristic
41C2×#535C2211yescharacteristic
42C2×#533C2211yescharacteristic
43C2×#533C2211yescharacteristic
44C22×#127C2211yescharacteristic
45C22×#123C2212yes—
46C2×#518C2211yescharacteristic
47C2×C4×#41C2211yescharacteristic
48C2×C4×#41C2211yescharacteristic
49C22×C4×D4C2211yescharacteristic
50#2856C2212yes—
51#2856C2212yes—
52#2856C2212yescomplemented
53#2855C2212yescomplemented
54#2854C2212yescomplemented
55#2854C2212yescomplemented
56#2854C2212yescomplemented
57#2850C2212yescomplemented
58#2848C2214yes—
59#2847C2214yes—
60#2837C2214yescomplemented
61#2832C2214yescomplemented
62#2830C2214yescomplemented
63#2829C2214yescomplemented
64#2829C2214yescomplemented
65#2829C2214yescomplemented
66#2829C2214yescomplemented
67#2827C2214yescomplemented
68#2826C2214yescomplemented
69#2826C2214yescomplemented
70#2824C2214yescomplemented
71#2824C2214yescomplemented
72#2819C2214yescomplemented
73#2816C2214yescomplemented
74#2816C2214yescomplemented
75#2814C2214yescomplemented
76#2813C2214yescomplemented
77#2813C2214yescomplemented
78#2813C2214yescomplemented
79#2813C2214yescomplemented
80#2800C2214yescomplemented
81#2786C2214yescomplemented
82#2781C2214yescomplemented
83#2751C2214yescomplemented
84#2750C2214yescomplemented
85#2741C2214yescomplemented
86#2740C2214yescomplemented
87#2730C2214yescomplemented
88#2730C2214yescomplemented
89#2711C2214yescomplemented
90#2711C2214yescomplemented
91#2710C2214yescomplemented
92#2710C2214yescomplemented
93#2708C2214yescomplemented
94#2708C2214yescomplemented
95#2706C2214yescomplemented
96#2706C2214yescomplemented
97#2701C2214yescomplemented
98#2701C2214yescomplemented
99#2696C2214yescomplemented
100#2696C2214yescomplemented
101#2694C2214yescomplemented
102#2692C2214yescomplemented
103#2687C2214yescomplemented
104#2686C2214yescomplemented
105#2686C2214yescomplemented
106#2682C2214yescomplemented
107#2682C2214yescomplemented
108#2681C2214yescomplemented
109#2681C2214yescomplemented
110#2676C2214yescomplemented
111#2676C2214yescomplemented
112#2676C2214yescomplemented
113#2676C2214yescomplemented
114#2672C2214yescomplemented
115#2672C2214yescomplemented
116#2671C2214yescomplemented
117#2671C2214yescomplemented
118#2671C2214yescomplemented
119#2671C2214yescomplemented
120#2626C2214yes—
121#2625C2212yescomplemented
122#2624C2212yescomplemented
123#2624C2212yescomplemented
124#2624C2212yescomplemented
125#2620C2212yescomplemented
126#2619C2212yes—
127#2619C2212yes—
128#2619C2212yescomplemented
129#2617C2214yes—
130#2592C2212yescomplemented
131#2592C2212yescomplemented
132#2592C2212yescomplemented
133#2592C2212yescomplemented
134#2580C2212yescomplemented
135#2580C2212yescomplemented
136#2580C2212yescomplemented
137#2580C2212yescomplemented
138#2569C2214yes—
139#2568C2211yescharacteristic, complemented
140#2567C2211yescharacteristic, complemented
141#2566C2211yescharacteristic, complemented
142#2566C2212yescomplemented
143#2566C2212yescomplemented
144#2566C2211yescharacteristic, complemented
145#2565C2211yescharacteristic, complemented
146#2565C2211yescharacteristic, complemented
147#2564C2212yes—
148#2564C2212yes—
149#2563C2212yescomplemented
150#2563C2211yescharacteristic, complemented
151#2548C2212yes—
152#2548C2212yes—
153#2548C2212yescomplemented
154#2548C2212yescomplemented
155#2548C2212yescomplemented
156#2548C2212yescomplemented
157#2544C2212yes—
158#2544C2212yes—
159#2542C2212yescomplemented
160#2542C2211yescharacteristic, complemented
161#2541C2212yes—
162#2541C2212yes—
163#2541C2212yes—
164#2541C2212yes—
165#2538C2212yescomplemented
166#2538C2212yescomplemented
167#2538C2212yescomplemented
168#2538C2212yescomplemented
169#2509C2212yescomplemented
170#2509C2212yescomplemented
171#2508C2212yescomplemented
172#2508C2212yescomplemented
173#2507C2212yescomplemented
174#2507C2212yescomplemented
175#2506C2212yescomplemented
176#2506C2212yescomplemented
177#2491C2212yescomplemented
178#2491C2212yescomplemented
179#2491C2212yescomplemented
180#2491C2212yescomplemented
181#2490C2212yescomplemented
182#2490C2212yescomplemented
183#2490C2212yescomplemented
184#2490C2212yescomplemented
185#2472C2214yes—
186#2472C2214yes—
187#2472C2214yes—
188#2472C2214yes—
189#2454C2211yescharacteristic, complemented
190#2454C2212yescomplemented
191#2454C2211yescharacteristic, complemented
192#2454C2212yescomplemented
193#2453C2211yescharacteristic, complemented
194#2453C2211yescharacteristic, complemented
195#2452C2212yescomplemented
196#2452C2211yescharacteristic, complemented
197#2452C2211yescharacteristic, complemented
198#2452C2212yescomplemented
199#2451C2211yescharacteristic, complemented
200#2451C2211yescharacteristic, complemented
201#2450C2212yes—
202#2450C2212yes—
203#2449C2212yes—
204#2449C2212yes—
205#2448C2212yescomplemented
206#2448C2212yescomplemented
207#2447C2212yescomplemented
208#2447C2212yescomplemented
209#2445C2212yes—
210#2445C2212yes—
211#2445C2212yes—
212#2445C2212yes—
213#2445C2212yes—
214#2445C2212yes—
215#2445C2212yes—
216#2445C2212yes—
217#2445C2212yescomplemented
218#2445C2212yescomplemented
219#2445C2212yescomplemented
220#2445C2212yescomplemented
221#2444C2214yes—
222#2443C2214yes—
223#2442C2214yes—
224#2437C2214yes—
225#2437C2214yes—
226#2428C2212yes—
227#2428C2212yes—
228#2428C2212yes—
229#2428C2212yes—
230#2428C2212yescomplemented
231#2428C2212yescomplemented
232#2428C2212yescomplemented
233#2428C2212yescomplemented
234#2428C2212yescomplemented
235#2428C2212yescomplemented
236#2427C2212yescomplemented
237#2427C2212yescomplemented
238#2427C2212yescomplemented
239#2427C2212yescomplemented
240#2426C2212yescomplemented
241#2426C2212yescomplemented
242#2424C2214yes—
243#2424C2214yes—
244#2423C2212yescomplemented
245#2422C2212yescomplemented
246#2422C2212yescomplemented
247#2422C2212yescomplemented
248#2421C2212yescomplemented
249#2420C2212yescomplemented
250#2420C2212yescomplemented
251#2420C2212yescomplemented
252#2418C2214yes—
253#2418C2214yes—
254#2417C2212yes—
255#2417C2212yes—
256#2412C2214yes—
257#2412C2214yes—
258#2410C2214yes—
259#2410C2214yes—
260#2408C2214yes—
261#2408C2214yes—
262#2396C2212yescomplemented
263#2396C2212yescomplemented
264#2396C2212yescomplemented
265#2396C2212yescomplemented
266C2×#394C2212yes—
267C2×#394C2212yes—
268#2377C2214yescomplemented
269#2377C2214yescomplemented
270#2376C2214yescomplemented
271#2317C2211yescharacteristic
272#2317C2211yescharacteristic
273#2316C2211yescharacteristic
274#2316C2211yescharacteristic
275#2311C2211yescharacteristic
276#2311C2211yescharacteristic
277#2309C2211yescharacteristic
278#2309C2211yescharacteristic
279#2309C2211yescharacteristic
280C4×C22⋊Q8C2212yescomplemented
281C4×C22⋊Q8C2212yescomplemented
282C4×C22⋊Q8C2212yescomplemented
283C4×C22⋊Q8C2212yescomplemented
284#2297C2211yescharacteristic
285#2297C2211yescharacteristic
286#2297C2211yescharacteristic
287#2297C2211yescharacteristic
288#2296C2211yescharacteristic
289#2296C2211yescharacteristic
290C2×#390C2211yescharacteristic
291C2×#390C2211yescharacteristic
292C2×#390C2211yescharacteristic
293C2×#389C2211yescharacteristic
294C2×#386C2212yes—
295#2285C2211yescharacteristic
296#2285C2211yescharacteristic
297#2274C2211yescharacteristic
298C2×C4×C4⋊C4C2211yescharacteristic
299C22×#41C2311yescharacteristic
300C22×#41C2311yescharacteristic
301C23×D4C2311yescharacteristic
302C23×D4C2311yescharacteristic
303C23×D4C2312yes—
304C23×D4C2312yes—
305C24×C4C2312yes—
306#562—416no—
307#537—44no—
308#535—44no—
309#535—44no—
310#535—44no—
311#535—44no—
312#533—44no—
313#533—44no—
314C2×C4⋊Q8C2311yescharacteristic
315C2×C4⋊Q8C2311yescharacteristic
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×#127—44no—
319C2×#127C2312yes—
320C2×#127C2312yes—
321C2×#127C2312yes—
322C2×#127C2312yes—
323C2×#127C2312yes—
324C2×#127C2312yes—
325C2×#127C2312yes—
326C2×#127C2312yes—
327C2×#125C2311yescharacteristic
328C2×#125C2311yescharacteristic
329C2×#125C2311yescharacteristic
330C2×#125C2311yescharacteristic
331C2×#125C2314yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2312yes—
335C2×#124C2314yes—
336C2×#124C2314yes—
337C2×#124C2312yes—
338C2×#124C2314yes—
339C2×#124C2314yes—
340C2×#123—48no—
341C2×#123C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2314yes—
345C2×#123C2314yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×C22⋊Q8C2312yes—
351C2×C22⋊Q8C2312yes—
352C2×C22⋊Q8C2312yes—
353C2×C22⋊Q8C2312yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2312yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2314yes—
362C2×C22⋊Q8C2314yes—
363C2×C22⋊Q8C2314yes—
364C2×#121C2314yes—
365C2×#121C2314yes—
366C2×#121C2314yes—
367C2×#121C2312yes—
368C2×#121C2312yes—
369C2×#121C2312yes—
370C2×#121C2312yes—
371C2×#121C2312yes—
372C2×#121C2312yes—
373C2×#121C2312yes—
374C2×#121C2312yes—
375C2×#121C2314yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2314yes—
379C2×#121C2314yes—
380C2×#121C2314yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2314yes—
384C2×#121C2314yes—
385C2×#121C2314yes—
386C2×#121C2314yes—
387C2×#120C2314yes—
388C2×#120C2314yes—
389C2×#120C2314yes—
390C2×#120C2314yes—
391#518—44no—
392C4×#41—44no—
393C4×#41—44no—
394C2×C4×Q8C2311yescharacteristic
395C2×C4×Q8C2311yescharacteristic
396C2×C4×Q8C2312yes—
397C2×C4×Q8C2312yes—
398C2×C4×Q8C2312yes—
399C2×C4×Q8C2312yes—
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2311yescharacteristic
402C2×C4×D4—44no—
403C2×C4×D4C2312yes—
404C2×C4×D4C2311yescharacteristic
405C2×C4×D4C2312yes—
406C2×C4×D4C2312yes—
407C2×C4×D4C2311yescharacteristic
408C2×C4×D4C2312yes—
409C2×C4×D4C2312yes—
410C2×C4×D4C2312yes—
411C2×C4×D4C2312yes—
412C2×C4×D4C2312yes—
413C2×C4×D4C2312yes—
414C2×C4×D4C2312yes—
415C2×C4×D4C2311yescharacteristic
416C2×C4×D4C2311yescharacteristic
417C2×C4×D4C2312yes—
418C2×C4×D4C2312yes—
419C2×#117C2311yescharacteristic
420C2×#117C2311yescharacteristic
421C2×#117C2311yescharacteristic
422C2×#117C2311yescharacteristic
423C2×#117C2311yescharacteristic
424C2×#117C2311yescharacteristic
425C2×#117C2312yes—
426C2×#117C2312yes—
427C22×C4⋊C4C2311yescharacteristic
428C22×C4⋊C4C2311yescharacteristic
429C22×C4⋊C4C2311yescharacteristic
430C22×C4⋊C4C2311yescharacteristic
431C22×C4⋊C4C2312yes—
432C22×C22⋊C4C2312yes—
433C22×C22⋊C4C2312yes—
434C22×C22⋊C4C2312yes—
435C22×C22⋊C4C2314yes—
436C22×C22⋊C4C2312yes—
437C22×C22⋊C4C2312yes—
438C22×C22⋊C4C2312yes—
439C22×C22⋊C4C2312yes—
440C22×C42C2311yescharacteristic
441C22×C42C2311yescharacteristic
442C22×C42C2311yescharacteristic
443C22×C42C2312yes—
444C22×C42C2312yes—
445#400C2312yes—
446#400C2312yes—
447#400C2312yes—
448#400C2314yes—
449#400C2314yes—
450#400C2314yes—
451#400C2312yes—
452#400C2314yes—
453#400C2314yes—
454#399C2314yes—
455#399C2314yes—
456#399C2314yes—
457#399C2314yes—
458#399C2312yes—
459#399C2312yes—
460#399C2314yes—
461#399C2312yes—
462#399C2314yes—
463#399C2314yes—
464#399C2312yes—
465#398C2312yes—
466#398C2312yes—
467#398C2314yes—
468#398C2314yes—
469#398C2312yes—
470#398C2312yes—
471#398C2312yes—
472#398C2314yes—
473#398C2312yes—
474#398C2314yes—
475#398C2314yes—
476#398C2312yes—
477#398C2312yes—
478#397C2314yes—
479#397C2314yes—
480#397C2314yes—
481#397C2314yes—
482#397C2314yes—
483#397C2314yes—
484#397C2314yes—
485#397C2314yes—
486#397C2314yes—
487#397C2314yes—
488#397C2314yes—
489#397C2314yes—
490#397C2314yes—
491#397C2314yes—
492#397C2314yes—
493#396C2314yes—
494#396C2314yes—
495#396C2312yes—
496#396C2312yes—
497#396C2314yes—
498#396C2314yes—
499#396C2312yes—
500#396C2312yes—
501#396C2312yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2312yes—
506#396C2314yes—
507#396C2314yes—
508#396C2312yes—
509#396C2312yes—
510#396C2314yes—
511#395C2312yes—
512#395C2312yes—
513#395C2312yes—
514#395C2312yes—
515#394C2314yes—
516#394C2314yes—
517#394C2314yes—
518#394C2314yes—
519#394C2314yes—
520#394C2314yes—
521#394C2314yes—
522#394C2314yes—
523#394C2314yes—
524#394C2314yes—
525#394C2314yes—
526#394C2314yes—
527#394C2314yes—
528#394C2314yes—
529#394C2314yes—
530#394C2314yes—
531#394C2314yes—
532#394C2314yes—
533#394C2314yes—
534#394C2314yes—
535#394C2314yes—
536#394C2314yes—
537#394C2314yes—
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#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#393C2312yes—
558#393C2314yes—
559#393C2314yes—
560#393C2314yes—
561#393C2312yes—
562#393C2314yes—
563#393C2312yes—
564#393C2314yes—
565#393C2314yes—
566#393C2314yes—
567#393C2314yes—
568#393C2312yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#392C2314yes—
580#392C2314yes—
581#391C2311yescharacteristic
582#391C2311yescharacteristic
583#391C2311yescharacteristic
584#391C2311yescharacteristic
585#391C2312yes—
586#391C2312yes—
587#391C2312yes—
588#391C2312yes—
589#391C2311yescharacteristic
590#391C2311yescharacteristic
591#391C2311yescharacteristic
592#391C2311yescharacteristic
593#391C2312yes—
594#391C2312yes—
595#390C2312yes—
596#390C2312yes—
597#390C2311yescharacteristic
598#390C2311yescharacteristic
599#390C2312yes—
600#390C2312yes—
601#390C2312yes—
602#390C2312yes—
603#390C2312yes—
604#390C2312yes—
605#390C2312yes—
606#390C2312yes—
607#390C2312yes—
608#390C2312yes—
609#390C2311yescharacteristic
610#390C2311yescharacteristic
611#390C2312yes—
612#390C2312yes—
613#390C2314yes—
614#390C2314yes—
615#390C2314yes—
616#390C2314yes—
617#390C2314yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2312yes—
624#390C2314yes—
625#390C2314yes—
626#390C2311yescharacteristic
627#390C2314yes—
628#390C2311yescharacteristic
629#390C2314yes—
630#390C2314yes—
631#390C2312yes—
632#390C2312yes—
633#390C2311yescharacteristic
634#390C2311yescharacteristic
635#390C2312yes—
636#390C2312yes—
637#390C2312yes—
638#390C2312yes—
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#389C2312yes—
652#389C2312yes—
653#389C2311yescharacteristic
654#389C2311yescharacteristic
655#389C2314yes—
656#389C2311yescharacteristic
657#389C2312yes—
658#389C2311yescharacteristic
659#389C2312yes—
660#389C2314yes—
661#389C2312yes—
662#389C2312yes—
663#389C2312yes—
664#389C2311yescharacteristic
665#389C2311yescharacteristic
666#389C2311yescharacteristic
667#389C2311yescharacteristic
668#389C2312yes—
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#387C2312yes—
686#387C2312yes—
687#387C2312yes—
688#387C2312yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2314yes—
693#387C2312yes—
694#387C2312yes—
695#387C2314yes—
696#387C2314yes—
697#387C2312yes—
698#387C2312yes—
699#386C2312yes—
700#386C2312yes—
701#386C2312yes—
702#386C2312yes—
703#386C2314yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2314yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2312yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2312yes—
720#386C2314yes—
721#386C2314yes—
722#386C2314yes—
723#386C2314yes—
724#386C2314yes—
725#386C2314yes—
726#386C2312yes—
727#386C2312yes—
728#385C2312yes—
729#385C2312yes—
730#385C2312yes—
731#385C2312yes—
732#385C2314yes—
733#385C2314yes—
734#385C2314yes—
735#385C2314yes—
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#384C2311yescharacteristic
754#384C2311yescharacteristic
755#384C2311yescharacteristic
756#384C2311yescharacteristic
757#384C2312yes—
758#384C2312yes—
759#382C2311yescharacteristic
760#382C2311yescharacteristic
761#382C2312yes—
762#382C2312yes—
763#382C2314yes—
764#382C2311yescharacteristic
765#382C2311yescharacteristic
766#381C2314yes—
767#381C2314yes—
768#381C2314yes—
769#380C2314yes—
770#380C2314yes—
771#380C2312yes—
772#380C2312yes—
773#380C2312yes—
774#380C2312yes—
775#380C2312yes—
776#380C2312yes—
777#380C2312yes—
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2314yes—
782#380C2314yes—
783#380C2314yes—
784#380C2314yes—
785#380C2312yes—
786#380C2314yes—
787#380C2312yes—
788#380C2314yes—
789#379C2314yes—
790#379C2314yes—
791#379C2314yes—
792C4×C4⋊C4C2311yescharacteristic
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2311yescharacteristic
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2311yescharacteristic
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2312yes—
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2312yes—
809C4×C4⋊C4C2311yescharacteristic
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2312yes—
812C4×C22⋊C4C2314yes—
813C4×C22⋊C4C2312yes—
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2312yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2312yes—
821C2×#95C2311yescharacteristic
822C2×#95C2311yescharacteristic
823C2×#95C2312yes—
824C25C2412yes—
825C25C2412yes—
826C2×#41—24no—
827C2×#41—24no—
828C2×#41—24no—
829C2×#41—24no—
830C2×#41—24no—
831C2×#41—24no—
832C22×Q8C2411yescharacteristic
833C22×Q8C2411yescharacteristic
834C22×Q8C2412yes—
835C22×Q8C2412yes—
836C22×Q8C2412yes—
837C22×Q8C2412yes—
838C22×D4—24no—
839C22×D4—24no—
840C22×D4—24no—
841C22×D4—24no—
842C22×D4—24no—
843C22×D4—24no—
844C22×D4—44no—
845C22×D4—44no—
846C22×D4—44no—
847C22×D4—44no—
848C22×D4—82no—
849C22×D4—82no—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2412yes—
855C22×D4C2412yes—
856C22×D4C2411yescharacteristic
857C22×D4C2411yescharacteristic
858C22×D4C2414yes—
859C22×D4C2414yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C22×D4C2414yes—
868C22×D4C2414yes—
869C22×D4C2414yes—
870C22×D4C2414yes—
871C23×C4—44no—
872C23×C4—44no—
873C23×C4—82no—
874C23×C4C2412yes—
875C23×C4C2412yes—
876C23×C4C2411yescharacteristic
877C23×C4C2411yescharacteristic
878C23×C4C2411yescharacteristic
879C23×C4C2411yescharacteristic
880C23×C4C2412yes—
881C23×C4C2411yescharacteristic
882C23×C4C2411yescharacteristic
883C23×C4C2412yes—
884C23×C4C2412yes—
885C23×C4C2412yes—
886C23×C4C2412yes—
887C23×C4C2414yes—
888C23×C4C2414yes—
889C23×C4C2414yes—
890C23×C4C2412yes—
891C23×C4C2414yes—
892C23×C4C2411yescharacteristic
893C4⋊Q8—42no—
894C4⋊Q8—42no—
895C4⋊Q8—42no—
896C4⋊Q8—42no—
897#127—44no—
898#127—44no—
899#127—44no—
900#127—44no—
901#127—44no—
902#127—44no—
903#127—44no—
904#127—44no—
905#125—42no—
906#125—42no—
907#125—42no—
908#125—42no—
909#125—48no—
910#124—44no—
911#124—44no—
912#124—44no—
913#124—44no—
914#124—48no—
915#124—48no—
916#124—84no—
917#124—84no—
918#123—216no—
919#123—48no—
920#123—48no—
921#123—48no—
922#123—48no—
923#123—48no—
924#123—48no—
925#123—84no—
926#123—84no—
927C22⋊Q8—28no—
928C22⋊Q8—28no—
929C22⋊Q8—44no—
930C22⋊Q8—44no—
931C22⋊Q8—44no—
932C22⋊Q8—44no—
933C22⋊Q8—44no—
934C22⋊Q8—48no—
935C22⋊Q8—44no—
936C22⋊Q8—44no—
937C22⋊Q8—44no—
938C22⋊Q8—48no—
939C22⋊Q8—84no—
940C22⋊Q8—84no—
941#121—48no—
942#121—48no—
943#121—48no—
944#121—48no—
945#121—48no—
946#121—44no—
947#121—44no—
948#121—44no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—44no—
956#121—48no—
957#121—48no—
958#121—84no—
959#121—84no—
960#121—84no—
961#121—84no—
962#121—84no—
963#121—84no—
964#120—48no—
965#120—48no—
966#120—48no—
967#120—48no—
968C4×Q8—44no—
969C4×Q8—44no—
970C4×Q8—44no—
971C4×Q8—44no—
972C4×Q8—42no—
973C4×Q8—42no—
974C4×Q8—42no—
975C4×Q8—42no—
976C4×D4—44no—
977C4×D4—44no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—42no—
981C4×D4—42no—
982C4×D4—42no—
983C4×D4—42no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—44no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992#117—24no—
993#117—24no—
994#117—24no—
995#117—24no—
996#117—24no—
997#117—24no—
998#117—44no—
999#117—44no—
1000C2×C4⋊C4—24no—
1001C2×C4⋊C4—24no—
1002C2×C4⋊C4—24no—
1003C2×C4⋊C4—42no—
1004C2×C4⋊C4—44no—
1005C2×C4⋊C4C2412yes—
1006C2×C4⋊C4C2412yes—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2411yescharacteristic
1009C2×C4⋊C4C2411yescharacteristic
1010C2×C4⋊C4C2411yescharacteristic
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2414yes—
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2411yescharacteristic
1016C2×C4⋊C4C2411yescharacteristic
1017C2×C4⋊C4C2411yescharacteristic
1018C2×C4⋊C4C2411yescharacteristic
1019C2×C4⋊C4C2411yescharacteristic
1020C2×C4⋊C4C2411yescharacteristic
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2411yescharacteristic
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2411yescharacteristic
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2412yes—
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2412yes—
1046C2×C4⋊C4C2412yes—
1047C2×C4⋊C4C2412yes—
1048C2×C4⋊C4C2412yes—
1049C2×C4⋊C4C2412yes—
1050C2×C4⋊C4C2412yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2414yes—
1057C2×C4⋊C4C2414yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2414yes—
1061C2×C4⋊C4C2414yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2412yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2411yescharacteristic
1072C2×C22⋊C4—44no—
1073C2×C22⋊C4—44no—
1074C2×C22⋊C4—44no—
1075C2×C22⋊C4—48no—
1076C2×C22⋊C4—44no—
1077C2×C22⋊C4—82no—
1078C2×C22⋊C4—82no—
1079C2×C22⋊C4—82no—
1080C2×C22⋊C4C2412yes—
1081C2×C22⋊C4C2412yes—
1082C2×C22⋊C4C2414yes—
1083C2×C22⋊C4C2414yes—
1084C2×C22⋊C4C2414yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2412yes—
1088C2×C22⋊C4C2412yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2414yes—
1102C2×C22⋊C4C2414yes—
1103C2×C22⋊C4C2414yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2412yes—
1108C2×C22⋊C4C2412yes—
1109C2×C22⋊C4C2412yes—
1110C2×C22⋊C4C2412yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2412yes—
1123C2×C22⋊C4C2412yes—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2414yes—
1135C2×C22⋊C4C2414yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2414yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2412yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2412yes—
1148C2×C42—24no—
1149C2×C42—24no—
1150C2×C42—24no—
1151C2×C42—44no—
1152C2×C42—44no—
1153C2×C42C2411yescharacteristic
1154C2×C42C2412yes—
1155C2×C42C2412yes—
1156C2×C42C2411yescharacteristic
1157C2×C42C2412yes—
1158C2×C42C2412yes—
1159C2×C42C2412yes—
1160C2×C42C2412yes—
1161C2×C42C2411yescharacteristic
1162C2×C42C2411yescharacteristic
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2411yescharacteristic
1167C2×C42C2411yescharacteristic
1168C2×C42C2411yescharacteristic
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2412yes—
1172C2×C42C2412yes—
1173C2×C42C2412yes—
1174C2×C42C2412yes—
1175C2×C42C2414yes—
1176C2×C42C2414yes—
1177#95C2411yescharacteristic
1178#95C2411yescharacteristic
1179#95C2411yescharacteristic
1180#95C2411yescharacteristic
1181#95C2411yescharacteristic
1182#95C2411yescharacteristic
1183#95C2411yescharacteristic
1184#95C2411yescharacteristic
1185#95C2414yes—
1186#95C2414yes—
1187#95C2414yes—
1188#95C2414yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2412yes—
1193#95C2412yes—
1194#95C2412yes—
1195#95C2412yes—
1196#95C2412yes—
1197#95C2412yes—
1198#95C2412yes—
1199#95C2412yes—
1200#95C2412yes—
1201#95C2412yes—
1202#95C2412yes—
1203#95C2412yes—
1204#95C2412yes—
1205#95C2412yes—
1206#95C2412yes—
1207#95C2412yes—
1208#95C2412yes—
1209#95C2412yes—
1210#95C2412yes—
1211#95C2412yes—
1212#95C2412yes—
1213#95C2412yes—
1214#95C2412yes—
1215#95C2412yes—
1216#95C2412yes—
1217#95C2412yes—
1218#95C2412yes—
1219#95C2412yes—
1220#95C2412yes—
1221#95C2414yes—
1222#95C2414yes—
1223#95C2414yes—
1224#95C2414yes—
1225#95C2414yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2414yes—
1230#95C2414yes—
1231#95C2414yes—
1232#95C2414yes—
1233C24—24no—
1234C24—24no—
1235C24—24no—
1236C24—24no—
1237C24—24no—
1238C24—24no—
1239C24—42no—
1240C24—42no—
1241C24—42no—
1242C24—42no—
1243C24—42no—
1244C24—42no—
1245C24—42no—
1246C24—42no—
1247C24C2514yes—
1248C24C2514yes—
1249C24C2512yes—
1250C24C2512yes—
1251C24C2511yescharacteristic
1252#41—416no—
1253#41—416no—
1254C2×Q8—22no—
1255C2×Q8—22no—
1256C2×Q8—22no—
1257C2×Q8—22no—
1258C2×Q8—24no—
1259C2×Q8—24no—
1260C2×Q8—22no—
1261C2×Q8—22no—
1262C2×Q8—42no—
1263C2×Q8—42no—
1264C2×Q8—42no—
1265C2×Q8—42no—
1266C2×Q8—42no—
1267C2×Q8—42no—
1268C2×Q8—42no—
1269C2×Q8—42no—
1270C2×Q8—42no—
1271C2×Q8—42no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—24no—
1279C2×D4—22no—
1280C2×D4—24no—
1281C2×D4—24no—
1282C2×D4—24no—
1283C2×D4—22no—
1284C2×D4—24no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—22no—
1288C2×D4—24no—
1289C2×D4—22no—
1290C2×D4—28no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—24no—
1294C2×D4—24no—
1295C2×D4—22no—
1296C2×D4—22no—
1297C2×D4—28no—
1298C2×D4—44no—
1299C2×D4—44no—
1300C2×D4—44no—
1301C2×D4—44no—
1302C2×D4—44no—
1303C2×D4—44no—
1304C2×D4—44no—
1305C2×D4—44no—
1306C2×D4—44no—
1307C2×D4—44no—
1308C2×D4—44no—
1309C2×D4—44no—
1310C2×D4—44no—
1311C2×D4—44no—
1312C2×D4—44no—
1313C2×D4—44no—
1314C2×D4—44no—
1315C2×D4—44no—
1316C2×D4—44no—
1317C2×D4—44no—
1318C2×D4—44no—
1319C2×D4—44no—
1320C2×D4—44no—
1321C2×D4—44no—
1322C2×D4—44no—
1323C2×D4—44no—
1324C2×D4—44no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—44no—
1333C2×D4—44no—
1334C2×D4—44no—
1335C2×D4—416no—
1336C2×D4—416no—
1337C2×D4—816no—
1338C2×D4—816no—
1339C22×C4—22no—
1340C22×C4—22no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—24no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—24no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—22no—
1357C22×C4—24no—
1358C22×C4—24no—
1359C22×C4—28no—
1360C22×C4—24no—
1361C22×C4—41no—
1362C22×C4—41no—
1363C22×C4—41no—
1364C22×C4—41no—
1365C22×C4—42no—
1366C22×C4—42no—
1367C22×C4—42no—
1368C22×C4—42no—
1369C22×C4—42no—
1370C22×C4—42no—
1371C22×C4—42no—
1372C22×C4—41no—
1373C22×C4—41no—
1374C22×C4—41no—
1375C22×C4—42no—
1376C22×C4—41no—
1377C22×C4—44no—
1378C22×C4—44no—
1379C22×C4—42no—
1380C22×C4—42no—
1381C22×C4—42no—
1382C22×C4—44no—
1383C22×C4—42no—
1384C22×C4—44no—
1385C22×C4—44no—
1386C22×C4—42no—
1387C22×C4—44no—
1388C22×C4—44no—
1389C22×C4—44no—
1390C22×C4—44no—
1391C22×C4—44no—
1392C22×C4—44no—
1393C22×C4—816no—
1394C22×C4H(5,𝔽2)14yes—
1395C22×C4H(5,𝔽2)14yes—
1396C22×C42−1+414yes—
1397C22×C4C2511yescharacteristic
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2512yes—
1401C22×C4C2514yes—
1402C22×C4C2511yescharacteristic
1403C22×C4C2511yescharacteristic
1404C22×C4C2511yescharacteristic
1405C22×C4C2512yes—
1406C22×C4C2512yes—
1407C22×C4C2511yescharacteristic
1408C22×C4C2512yes—
1409C22×C4C2512yes—
1410C22×C4C2512yes—
1411C22×C4C2511yescharacteristic
1412C22×C4C2512yes—
1413C22×C4C2512yes—
1414C22×C4C2512yes—
1415C22×C4C2512yes—
1416C22×C4C2514yes—
1417C22×C4C2512yes—
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2512yes—
1421C22×C4C2511yescharacteristic
1422C22×C4C2511yescharacteristic
1423C22×C4C2511yescharacteristic
1424C22×C4C2511yescharacteristic
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C4⋊C4—24no—
1428C4⋊C4—24no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—28no—
1433C4⋊C4—22no—
1434C4⋊C4—22no—
1435C4⋊C4—22no—
1436C4⋊C4—22no—
1437C4⋊C4—22no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—22no—
1441C4⋊C4—22no—
1442C4⋊C4—22no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—24no—
1446C4⋊C4—24no—
1447C4⋊C4—24no—
1448C4⋊C4—24no—
1449C4⋊C4—24no—
1450C4⋊C4—24no—
1451C4⋊C4—22no—
1452C4⋊C4—22no—
1453C4⋊C4—24no—
1454C4⋊C4—24no—
1455C4⋊C4—41no—
1456C4⋊C4—41no—
1457C4⋊C4—44no—
1458C4⋊C4—42no—
1459C4⋊C4—42no—
1460C4⋊C4—42no—
1461C4⋊C4—42no—
1462C4⋊C4—42no—
1463C4⋊C4—42no—
1464C4⋊C4—42no—
1465C4⋊C4—42no—
1466C4⋊C4—42no—
1467C4⋊C4—42no—
1468C4⋊C4—42no—
1469C4⋊C4—42no—
1470C4⋊C4—42no—
1471C4⋊C4—42no—
1472C4⋊C4—42no—
1473C4⋊C4—42no—
1474C4⋊C4—44no—
1475C4⋊C4—44no—
1476C4⋊C4—44no—
1477C4⋊C4—42no—
1478C4⋊C4—42no—
1479C4⋊C4—42no—
1480C4⋊C4—42no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C4⋊C4—42no—
1484C4⋊C4—42no—
1485C4⋊C4—44no—
1486C4⋊C4—42no—
1487C4⋊C4—42no—
1488C4⋊C4—44no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—42no—
1492C4⋊C4—42no—
1493C4⋊C4H(5,𝔽2)14yes—
1494C22⋊C4—24no—
1495C22⋊C4—24no—
1496C22⋊C4—24no—
1497C22⋊C4—24no—
1498C22⋊C4—24no—
1499C22⋊C4—24no—
1500C22⋊C4—28no—
1501C22⋊C4—28no—
1502C22⋊C4—28no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—24no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—44no—
1517C22⋊C4—44no—
1518C22⋊C4—44no—
1519C22⋊C4—44no—
1520C22⋊C4—44no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—44no—
1526C22⋊C4—44no—
1527C22⋊C4—44no—
1528C22⋊C4—44no—
1529C22⋊C4—44no—
1530C22⋊C4—44no—
1531C22⋊C4—44no—
1532C22⋊C4—44no—
1533C22⋊C4—44no—
1534C22⋊C4—44no—
1535C22⋊C4—44no—
1536C22⋊C4—44no—
1537C22⋊C4—44no—
1538C22⋊C4—44no—
1539C22⋊C4—44no—
1540C22⋊C4—44no—
1541C22⋊C4—42no—
1542C22⋊C4—42no—
1543C22⋊C4—42no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—44no—
1551C22⋊C4—44no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—44no—
1556C22⋊C4—44no—
1557C22⋊C4—42no—
1558C22⋊C4—44no—
1559C22⋊C4—44no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C42—22no—
1563C42—22no—
1564C42—22no—
1565C42—22no—
1566C42—22no—
1567C42—22no—
1568C42—22no—
1569C42—22no—
1570C42—22no—
1571C42—22no—
1572C42—22no—
1573C42—22no—
1574C42—24no—
1575C42—24no—
1576C42—24no—
1577C42—24no—
1578C42—24no—
1579C42—24no—
1580C42—42no—
1581C42—42no—
1582C42—42no—
1583C42—42no—
1584C42—44no—
1585C42—44no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—24no—
1591C23—22no—
1592C23—22no—
1593C23—24no—
1594C23—22no—
1595C23—24no—
1596C23—24no—
1597C23—22no—
1598C23—22no—
1599C23—24no—
1600C23—24no—
1601C23—22no—
1602C23—22no—
1603C23—22no—
1604C23—24no—
1605C23—24no—
1606C23—22no—
1607C23—22no—
1608C23—24no—
1609C23—24no—
1610C23—22no—
1611C23—22no—
1612C23—24no—
1613C23—24no—
1614C23—24no—
1615C23—24no—
1616C23—22no—
1617C23—22no—
1618C23—48no—
1619C23—48no—
1620C23—48no—
1621C23—48no—
1622C23—84no—
1623C23—84no—
1624C23—84no—
1625C23—84no—
1626C23—84no—
1627C23—84no—
1628C23—84no—
1629C23—84no—
1630C23—84no—
1631C23—84no—
1632C23C2×H(5,𝔽2)12yes—
1633C23C2×H(5,𝔽2)12yes—
1634C23C2×2−1+412yes—
1635C23C2611yescharacteristic
1636Q8—44no—
1637Q8—44no—
1638Q8—84no—
1639Q8—84no—
1640Q8—84no—
1641Q8—84no—
1642D4—48no—
1643D4—48no—
1644D4—48no—
1645D4—48no—
1646D4—48no—
1647D4—48no—
1648D4—44no—
1649D4—44no—
1650D4—88no—
1651D4—88no—
1652D4—88no—
1653D4—88no—
1654D4—164no—
1655D4—164no—
1656D4—164no—
1657D4—164no—
1658D4—164no—
1659D4—164no—
1660D4—164no—
1661D4—164no—
1662D4—164no—
1663C2×C4—21no—
1664C2×C4—21no—
1665C2×C4—21no—
1666C2×C4—21no—
1667C2×C4—21no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—21no—
1674C2×C4—21no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—22no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—22no—
1691C2×C4—22no—
1692C2×C4—22no—
1693C2×C4—22no—
1694C2×C4—22no—
1695C2×C4—24no—
1696C2×C4—22no—
1697C2×C4—24no—
1698C2×C4—22no—
1699C2×C4—21no—
1700C2×C4—22no—
1701C2×C4—22no—
1702C2×C4—22no—
1703C2×C4—24no—
1704C2×C4—21no—
1705C2×C4—22no—
1706C2×C4—21no—
1707C2×C4—24no—
1708C2×C4—22no—
1709C2×C4—22no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—22no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—24no—
1723C2×C4—21no—
1724C2×C4—22no—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—24no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—44no—
1744C2×C4—44no—
1745C2×C4—44no—
1746C2×C4—44no—
1747C2×C4—48no—
1748C2×C4—48no—
1749C2×C4—84no—
1750C2×C4—84no—
1751C2×C4—84no—
1752C2×C4—88no—
1753C2×C4—82no—
1754C2×C4—84no—
1755C2×C4—82no—
1756C2×C4—84no—
1757C2×C4—84no—
1758C2×C4—88no—
1759C2×C4—164no—
1760C2×C4—164no—
1761C2×C4#562116yescomplemented
1762C2×C4C2×H(5,𝔽2)12yes—
1763C2×C4C2×H(5,𝔽2)12yes—
1764C2×C4C2×H(5,𝔽2)12yes—
1765C2×C4C2×H(5,𝔽2)12yes—
1766C2×C4C2×H(5,𝔽2)12yes—
1767C2×C4C2×H(5,𝔽2)12yes—
1768C2×C4C2×H(5,𝔽2)12yes—
1769C2×C4C2×2−1+412yes—
1770C2×C4C2×2−1+412yes—
1771C2×C4#58512yes—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—22no—
1777C22—22no—
1778C22—42no—
1779C22—44no—
1780C22—42no—
1781C22—44no—
1782C22—42no—
1783C22—44no—
1784C22—42no—
1785C22—44no—
1786C22—44no—
1787C22—42no—
1788C22—44no—
1789C22—42no—
1790C22—42no—
1791C22—42no—
1792C22—44no—
1793C22—44no—
1794C22—42no—
1795C22—44no—
1796C22—44no—
1797C22—42no—
1798C22—42no—
1799C22—42no—
1800C22—44no—
1801C22—44no—
1802C22—42no—
1803C22—42no—
1804C22—44no—
1805C22—44no—
1806C22—816no—
1807C22—168no—
1808C22C2×#56214yes—
1809C22C22×H(5,𝔽2)11yescharacteristic
1810C22C22×H(5,𝔽2)11yescharacteristic
1811C22C22×H(5,𝔽2)11yescharacteristic
1812C22C22×2−1+411yescharacteristic
1813C22C2×#58511yescharacteristic
1814C22H(7,𝔽2)11yescharacteristic
1815C22H(7,𝔽2)11yescharacteristic
1816C4—22no—
1817C4—22no—
1818C4—22no—
1819C4—22no—
1820C4—41no—
1821C4—42no—
1822C4—42no—
1823C4—42no—
1824C4—42no—
1825C4—41no—
1826C4—42no—
1827C4—41no—
1828C4—42no—
1829C4—42no—
1830C4—42no—
1831C4—41no—
1832C4—41no—
1833C4—44no—
1834C4—42no—
1835C4—42no—
1836C4—44no—
1837C4—41no—
1838C4—41no—
1839C4—42no—
1840C4—41no—
1841C4—42no—
1842C4—42no—
1843C4—42no—
1844C4C2×#56214yes—
1845C4C2×#56214yes—
1846C2—24no—
1847C2—82no—
1848C2—82no—
1849C2—84no—
1850C2—84no—
1851C2C22×#56211yescharacteristic
1852C2#6283411yescharacteristic
1853C2#6288011yescharacteristic
1854C2#6291211yescharacteristic
1855C2#6291711yescharacteristic
1856C2#6292411yescharacteristic
1857C2#6296211yescharacteristic
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. #53108C2semidirect
2. #53106C2semidirect
3. #53106C2semidirect
4. #53105C2semidirect
5. #52984C2semidirect
6. #52979C2semidirect
7. #52973C2semidirect
8. #52973C2semidirect
9. #52312C2semidirect
10. #52311C2semidirect
11. #45726C2semidirect
12. #45718C2semidirect
13. #45653C2semidirect
14. #45639C2semidirect
15. #45610C2semidirect
16. #45610C2semidirect
17. #45516C2semidirect
18. #45484C2semidirect
19. #45484C2semidirect
20. #45454C2semidirect
21. #35585C2semidirect
22. #35556C2semidirect
23. #35556C2semidirect
24. #35541C2semidirect
25. #35528C2semidirect
26. #35515C2semidirect
27. #35272C2semidirect
28. #35256C2semidirect
29. #35255C2semidirect
30. #35254C2semidirect
31. #35172C2semidirect
32. #35168C2semidirect
33. #34947C2semidirect
34. #34745C2semidirect
35. C2×#2445C2semidirect
36. C2×#562C22semidirect
52. #2856C22semidirect
53. #2855C22semidirect
54. #2854C22semidirect
55. #2854C22semidirect
56. #2854C22semidirect
57. #2850C22semidirect
60. #2837C22semidirect
61. #2832C22semidirect
62. #2830C22semidirect
63. #2829C22semidirect
64. #2829C22semidirect
65. #2829C22semidirect
66. #2829C22semidirect
67. #2827C22semidirect
68. #2826C22semidirect
69. #2826C22semidirect
70. #2824C22semidirect
71. #2824C22semidirect
72. #2819C22semidirect
73. #2816C22semidirect
74. #2816C22semidirect
75. #2814C22semidirect
76. #2813C22semidirect
77. #2813C22semidirect
78. #2813C22semidirect
79. #2813C22semidirect
80. #2800C22semidirect
81. #2786C22semidirect
82. #2781C22semidirect
83. #2751C22semidirect
84. #2750C22semidirect
85. #2741C22semidirect
86. #2740C22semidirect
87. #2730C22semidirect
88. #2730C22semidirect
89. #2711C22semidirect
90. #2711C22semidirect
91. #2710C22semidirect
92. #2710C22semidirect
93. #2708C22semidirect
94. #2708C22semidirect
95. #2706C22semidirect
96. #2706C22semidirect
97. #2701C22semidirect
98. #2701C22semidirect
99. #2696C22semidirect
100. #2696C22semidirect
101. #2694C22semidirect
102. #2692C22semidirect
103. #2687C22semidirect
104. #2686C22semidirect
105. #2686C22semidirect
106. #2682C22semidirect
107. #2682C22semidirect
108. #2681C22semidirect
109. #2681C22semidirect
110. #2676C22semidirect
111. #2676C22semidirect
112. #2676C22semidirect
113. #2676C22semidirect
114. #2672C22semidirect
115. #2672C22semidirect
116. #2671C22semidirect
117. #2671C22semidirect
118. #2671C22semidirect
119. #2671C22semidirect
121. #2625C22semidirect
122. #2624C22semidirect
123. #2624C22semidirect
124. #2624C22semidirect
125. #2620C22semidirect
128. #2619C22semidirect
130. #2592C22semidirect
131. #2592C22semidirect
132. #2592C22semidirect
133. #2592C22semidirect
134. #2580C22semidirect
135. #2580C22semidirect
136. #2580C22semidirect
137. #2580C22semidirect
139. #2568C22semidirect
140. #2567C22semidirect
141. #2566C22semidirect
142. #2566C22semidirect
143. #2566C22semidirect
144. #2566C22semidirect
145. #2565C22semidirect
146. #2565C22semidirect
149. #2563C22semidirect
150. #2563C22semidirect
153. #2548C22semidirect
154. #2548C22semidirect
155. #2548C22semidirect
156. #2548C22semidirect
159. #2542C22semidirect
160. #2542C22semidirect
165. #2538C22semidirect
166. #2538C22semidirect
167. #2538C22semidirect
168. #2538C22semidirect
169. #2509C22semidirect
170. #2509C22semidirect
171. #2508C22semidirect
172. #2508C22semidirect
173. #2507C22semidirect
174. #2507C22semidirect
175. #2506C22semidirect
176. #2506C22semidirect
177. #2491C22semidirect
178. #2491C22semidirect
179. #2491C22semidirect
180. #2491C22semidirect
181. #2490C22semidirect
182. #2490C22semidirect
183. #2490C22semidirect
184. #2490C22semidirect
189. #2454C22semidirect
190. #2454C22semidirect
191. #2454C22semidirect
192. #2454C22semidirect
193. #2453C22semidirect
194. #2453C22semidirect
195. #2452C22semidirect
196. #2452C22semidirect
197. #2452C22semidirect
198. #2452C22semidirect
199. #2451C22semidirect
200. #2451C22semidirect
205. #2448C22semidirect
206. #2448C22semidirect
207. #2447C22semidirect
208. #2447C22semidirect
217. #2445C22semidirect
218. #2445C22semidirect
219. #2445C22semidirect
220. #2445C22semidirect
230. #2428C22semidirect
231. #2428C22semidirect
232. #2428C22semidirect
233. #2428C22semidirect
234. #2428C22semidirect
235. #2428C22semidirect
236. #2427C22semidirect
237. #2427C22semidirect
238. #2427C22semidirect
239. #2427C22semidirect
240. #2426C22semidirect
241. #2426C22semidirect
244. #2423C22semidirect
245. #2422C22semidirect
246. #2422C22semidirect
247. #2422C22semidirect
248. #2421C22semidirect
249. #2420C22semidirect
250. #2420C22semidirect
251. #2420C22semidirect
262. #2396C22semidirect
263. #2396C22semidirect
264. #2396C22semidirect
265. #2396C22semidirect
268. #2377C22semidirect
269. #2377C22semidirect
270. #2376C22semidirect
280. C4×C22⋊Q8C22semidirect
281. C4×C22⋊Q8C22semidirect
282. C4×C22⋊Q8C22semidirect
283. C4×C22⋊Q8C22semidirect
1761. C2×C4#562semidirect

Maximal subgroups

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

subgroupindex
#531082
#531062
#531052
#529842
#529792
#529732
#523122
#523112
#457262
#457182
#456532
#456392
#456102
#455162
#454842
#454542
#355852
#355562
#355412
#355282
#355152
#352722
#352562
#352552
#352542
#351722
#351682
#349472
#347452
C2×#24452