Finite Group Databasebeta

← #8463280

Subgroups — #8463280

Order 512.

5597 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#59412C211yesmaximal, characteristic, complemented
2#59305C211yesmaximal, characteristic, complemented
3#59304C211yesmaximal, characteristic, complemented
4#54986C214yesmaximal, complemented
5#54867C214yesmaximal, complemented
6#54351C214yesmaximal, complemented
7#52981C212yesmaximal, complemented
8#52964C212yesmaximal, complemented
9#47845C214yesmaximal, complemented
10#46104C212yesmaximal, complemented
11#45632C212yesmaximal, complemented
12#45356C212yesmaximal, complemented
13#45353C212yesmaximal, complemented
14#42504C212yesmaximal, complemented
15#42486C212yesmaximal, complemented
16#42478C212yesmaximal, complemented
17#42476C212yesmaximal, complemented
18#39761C211yesmaximal, characteristic, complemented
19#39725C211yesmaximal, characteristic, complemented
20#39396C212yesmaximal, complemented
21#39375C212yesmaximal, complemented
22#38945C212yesmaximal, complemented
23#38910C211yesmaximal, characteristic, complemented
24#38909C211yesmaximal, characteristic, complemented
25#38078C212yesmaximal, complemented
26#37620C211yesmaximal, characteristic, complemented
27#37335C212yesmaximal, complemented
28#37333C212yesmaximal, complemented
29#36559C211yesmaximal, characteristic, complemented
30#36258C211yesmaximal, characteristic, complemented
31#36179C211yesmaximal, characteristic, complemented
32#35280C211yesmaximal, characteristic, complemented
33#35186C211yesmaximal, characteristic, complemented
34#34919C211yesmaximal, characteristic, complemented
35#34727C211yesmaximal, characteristic, complemented
36C2×#554C2212yescomplemented
37C2×#553C2212yescomplemented
38C2×#550C2211yescharacteristic
39C2×#547C2212yescomplemented
40C2×#547C2212yescomplemented
41C2×#547C2212yescomplemented
42C2×#546C2212yes—
43C2×#546C2212yes—
44C2×D42C2211yescharacteristic
45C2×#538C2214yescomplemented
46C2×#533C2211yescharacteristic, complemented
47C2×#529C2211yescharacteristic
48C2×#529C2211yescharacteristic, complemented
49C2×C4×#41C2211yescharacteristic
50#2868C2211yescharacteristic, complemented
51#2861C2212yescomplemented
52#2860C2212yescomplemented
53#2859C2212yescomplemented
54#2857C2212yescomplemented
55#2857C2212yescomplemented
56#2856C2211yescharacteristic
57#2856C2211yescharacteristic
58#2854C2212yes—
59#2842C2214yescomplemented
60#2837C2214yescomplemented
61#2837C2214yescomplemented
62#2829C2214yescomplemented
63#2827C2214yescomplemented
64#2823C2214yescomplemented
65#2816C2214yescomplemented
66#2813C2214yescomplemented
67#2807C2214yescomplemented
68#2793C2214yescomplemented
69#2790C2214yescomplemented
70#2780C2214yescomplemented
71#2773C2214yescomplemented
72#2768C2214yescomplemented
73#2754C2214yescomplemented
74#2748C2214yescomplemented
75#2732C2214yescomplemented
76#2732C2214yescomplemented
77#2730C2214yescomplemented
78#2727C2214yescomplemented
79#2718C2214yescomplemented
80#2716C2214yescomplemented
81#2711C2214yescomplemented
82#2710C2214yescomplemented
83#2710C2214yescomplemented
84#2708C2214yescomplemented
85#2706C2214yescomplemented
86#2706C2214yescomplemented
87#2705C2214yescomplemented
88#2705C2214yescomplemented
89#2705C2214yescomplemented
90#2705C2214yescomplemented
91#2703C2214yescomplemented
92#2702C2214yescomplemented
93#2700C2214yescomplemented
94#2697C2214yescomplemented
95#2695C2214yescomplemented
96#2694C2214yescomplemented
97#2694C2214yescomplemented
98#2694C2214yescomplemented
99#2694C2214yescomplemented
100#2693C2214yescomplemented
101#2692C2214yescomplemented
102#2691C2214yescomplemented
103#2687C2214yescomplemented
104#2685C2214yes—
105#2685C2214yescomplemented
106#2682C2214yescomplemented
107#2681C2214yescomplemented
108#2681C2214yescomplemented
109#2678C2214yes—
110#2678C2214yes—
111#2678C2214yescomplemented
112#2678C2214yescomplemented
113#2678C2214yescomplemented
114#2676C2214yescomplemented
115#2671C2214yescomplemented
116#2651C2214yescomplemented
117#2640C2212yes—
118#2636C2214yescomplemented
119#2630C2214yescomplemented
120#2629C2212yescomplemented
121#2629C2214yescomplemented
122#2629C2212yescomplemented
123#2626C2214yescomplemented
124#2626C2214yescomplemented
125#2624C2212yes—
126#2624C2212yescomplemented
127#2620C2212yes—
128#2620C2212yescomplemented
129#2619C2212yescomplemented
130#2618C2214yescomplemented
131#2615C2214yescomplemented
132#2582C2212yescomplemented
133#2582C2211yescharacteristic, complemented
134#2582C2211yescharacteristic, complemented
135#2580C2212yescomplemented
136#2579C2214yescomplemented
137#2566C2212yes—
138#2566C2214yescomplemented
139#2563C2212yescomplemented
140#2560C2212yescomplemented
141#2558C2212yescomplemented
142#2552C2211yescharacteristic, complemented
143#2550C2211yescharacteristic, complemented
144#2548C2211yescharacteristic
145#2548C2211yescharacteristic
146#2548C2212yescomplemented
147#2545C2211yescharacteristic
148#2544C2212yescomplemented
149#2542C2212yescomplemented
150#2542C2212yescomplemented
151#2542C2212yescomplemented
152#2540C2212yes—
153#2540C2211yescharacteristic
154#2540C2212yescomplemented
155#2538C2211yescharacteristic
156#2538C2211yescharacteristic
157#2538C2211yescharacteristic
158#2538C2212yes—
159#2538C2211yescharacteristic, complemented
160#2538C2212yescomplemented
161#2537C2211yescharacteristic
162#2536C2211yescharacteristic, complemented
163#2535C2212yes—
164#2519C2212yescomplemented
165#2512C2212yes—
166#2512C2212yescomplemented
167#2511C2212yescomplemented
168#2507C2212yescomplemented
169#2502C2212yescomplemented
170#2501C2212yes—
171#2501C2212yescomplemented
172#2501C2212yescomplemented
173#2501C2212yescomplemented
174#2501C2212yescomplemented
175#2501C2212yescomplemented
176#2501C2212yescomplemented
177#2499C2212yescomplemented
178#2497C2212yescomplemented
179#2496C2212yescomplemented
180#2496C2212yescomplemented
181#2492C2212yescomplemented
182#2491C2211yescharacteristic
183#2491C2212yescomplemented
184#2490C2212yes—
185#2489C2211yescharacteristic, complemented
186#2487C2212yescomplemented
187#2479C2212yescomplemented
188#2471C2212yescomplemented
189#2468C2214yescomplemented
190#2467C2212yescomplemented
191#2461C2212yescomplemented
192#2456C2214yescomplemented
193#2456C2214yescomplemented
194#2456C2214yescomplemented
195#2456C2212yescomplemented
196#2454C2211yescharacteristic
197#2454C2212yescomplemented
198#2454C2212yescomplemented
199#2452C2212yes—
200#2452C2214yescomplemented
201#2452C2212yescomplemented
202#2448C2212yescomplemented
203#2448C2211yescharacteristic, complemented
204#2447C2212yescomplemented
205#2443C2214yescomplemented
206#2442C2212yescomplemented
207#2441C2212yescomplemented
208#2441C2211yescharacteristic, complemented
209#2439C2212yescomplemented
210#2437C2214yescomplemented
211#2437C2214yescomplemented
212#2435C2212yes—
213#2433C2212yes—
214#2432C2212yescomplemented
215#2431C2211yescharacteristic
216#2429C2211yescharacteristic, complemented
217#2428C2212yes—
218#2428C2211yescharacteristic
219#2428C2212yescomplemented
220#2427C2212yescomplemented
221#2426C2212yes—
222#2426C2211yescharacteristic
223#2424C2214yes—
224#2424C2214yes—
225#2423C2211yescharacteristic, complemented
226#2422C2212yes—
227#2422C2212yescomplemented
228#2418C2214yescomplemented
229#2418C2214yescomplemented
230#2418C2214yescomplemented
231#2418C2214yescomplemented
232#2417C2212yescomplemented
233#2417C2212yescomplemented
234#2417C2212yescomplemented
235#2417C2212yescomplemented
236#2417C2212yescomplemented
237#2417C2214yescomplemented
238#2416C2212yes—
239#2416C2212yes—
240#2416C2212yes—
241#2416C2212yescomplemented
242#2416C2212yescomplemented
243#2414C2212yes—
244#2414C2212yes—
245#2414C2211yescharacteristic, complemented
246#2411C2214yes—
247#2408C2212yes—
248#2408C2212yes—
249#2408C2212yes—
250#2408C2212yes—
251#2407C2212yes—
252#2407C2211yescharacteristic
253#2407C2212yescomplemented
254#2407C2214yescomplemented
255#2407C2214yescomplemented
256#2407C2212yescomplemented
257#2404C2214yescomplemented
258#2397C2212yescomplemented
259#2396C2212yescomplemented
260#2392C2212yescomplemented
261#2392C2212yescomplemented
262#2376C2214yescomplemented
263#2361C2212yes—
264#2355C2211yescharacteristic, complemented
265#2354C2211yescharacteristic
266D4×C4⋊C4C2211yescharacteristic
267D4×C4⋊C4C2212yescomplemented
268D4×C4⋊C4C2212yescomplemented
269D4×C4⋊C4C2212yescomplemented
270D4×C4⋊C4C2211yescharacteristic, complemented
271D4×C22⋊C4C2212yes—
272D4×C22⋊C4C2212yes—
273#2331C2212yescomplemented
274#2326C2212yescomplemented
275#2324C2212yescomplemented
276#2319C2212yescomplemented
277#2316C2212yescomplemented
278#2311C2212yes—
279#2311C2212yescomplemented
280#2309C2212yes—
281C4×#127C2211yescharacteristic
282C4×#127C2211yescharacteristic
283C4×#127C2212yes—
284C4×#124C2211yescharacteristic
285C4×#124C2212yescomplemented
286C4×C22⋊Q8C2211yescharacteristic, complemented
287C4×#121C2211yescharacteristic
288C4×#121C2211yescharacteristic
289C4×#121C2211yescharacteristic, complemented
290C4×#121C2212yescomplemented
291#2295C2211yescharacteristic, complemented
292#2293C2212yescomplemented
293C2×#390C2212yes—
294#2290C2212yescomplemented
295C2×#384C2211yescharacteristic, complemented
296C2×#384C2211yescharacteristic, complemented
297C42×Q8C2211yescharacteristic, complemented
298C42×D4C2211yescharacteristic, complemented
299C22×#41C2311yescharacteristic
300C22×#41C2312yes—
301C22×#41C2314yes—
302C23×D4C2312yes—
303C23×D4C2312yes—
304#554—48no—
305#553—48no—
306#550—44no—
307#547—48no—
308#547—48no—
309#547—48no—
310#546—48no—
311#546—48no—
312D42—44no—
313#538—416no—
314#533—44no—
315C2×C4⋊Q8C2312yes—
316C2×C4⋊Q8C2311yescharacteristic
317C2×C4⋊Q8C2311yescharacteristic
318C2×C4⋊Q8C2312yes—
319C2×C4⋊Q8C2312yes—
320C2×#127C2311yescharacteristic
321C2×#127C2311yescharacteristic
322C2×#127C2312yes—
323#529—44no—
324#529—44no—
325C2×#126C2312yes—
326C2×#126C2312yes—
327C2×#126C2314yes—
328C2×#126C2314yes—
329C2×#126C2314yes—
330C2×#125C2312yes—
331C2×#125C2314yes—
332C2×#125C2311yescharacteristic
333C2×#125C2311yescharacteristic
334C2×#125C2312yes—
335C2×#124C2311yescharacteristic
336C2×#124C2312yes—
337C2×#124C2312yes—
338C2×#124C2312yes—
339C2×#124C2311yescharacteristic
340C2×#124C2311yescharacteristic
341C2×#124C2314yes—
342C2×#123C2314yes—
343C2×#123C2314yes—
344C2×#123C2312yes—
345C2×#123C2312yes—
346C2×#123C2314yes—
347C2×#123C2314yes—
348C2×#123C2314yes—
349C2×#123C2314yes—
350C2×#123C2314yes—
351C2×#123C2314yes—
352C2×#123C2314yes—
353C2×#123C2314yes—
354C2×C22⋊Q8C2312yes—
355C2×C22⋊Q8C2314yes—
356C2×C22⋊Q8C2314yes—
357C2×C22⋊Q8C2312yes—
358C2×C22⋊Q8C2312yes—
359C2×C22⋊Q8C2312yes—
360C2×C22⋊Q8C2312yes—
361C2×C22⋊Q8C2311yescharacteristic
362C2×C22⋊Q8C2311yescharacteristic
363C2×C22⋊Q8C2311yescharacteristic
364C2×C22⋊Q8C2314yes—
365C2×C22⋊Q8C2314yes—
366C2×C22⋊Q8C2311yescharacteristic
367C2×C22⋊Q8C2311yescharacteristic
368C2×C22⋊Q8C2314yes—
369C2×C22⋊Q8C2314yes—
370C2×#121C2312yes—
371C2×#121C2311yescharacteristic
372C2×#121C2311yescharacteristic
373C2×#121C2312yes—
374C2×#121C2314yes—
375C2×#121C2312yes—
376C2×#121C2312yes—
377C2×#121C2312yes—
378C2×#121C2312yes—
379C2×#121C2312yes—
380C2×#121C2312yes—
381C2×#121C2314yes—
382C2×#121C2314yes—
383C2×#121C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2314yes—
388C2×#121C2314yes—
389C2×#121C2311yescharacteristic
390C2×#121C2311yescharacteristic
391C2×#121C2311yescharacteristic
392C2×#121C2314yes—
393C2×#120C2314yes—
394C2×#120C2314yes—
395C2×#120C2314yes—
396C2×#120C2314yes—
397C2×#120C2314yes—
398C4×#41—44no—
399C2×C4×Q8C2311yescharacteristic
400C2×C4×Q8C2311yescharacteristic
401C2×C4×Q8C2311yescharacteristic
402C2×C4×Q8C2311yescharacteristic
403C2×C4×Q8C2312yes—
404C2×C4×Q8C2311yescharacteristic
405C2×C4×Q8C2311yescharacteristic
406C2×C4×D4C2312yes—
407C2×C4×D4C2312yes—
408C2×C4×D4C2311yescharacteristic
409C2×C4×D4C2311yescharacteristic
410C2×C4×D4C2311yescharacteristic
411C2×C4×D4C2311yescharacteristic
412C2×C4×D4C2312yes—
413C2×C4×D4C2311yescharacteristic
414C2×C4×D4C2311yescharacteristic
415C2×C4×D4C2312yes—
416C2×C4×D4C2314yes—
417C2×C4×D4C2312yes—
418C2×C4×D4C2314yes—
419C2×C4×D4C2312yes—
420C2×C4×D4C2312yes—
421C2×C4×D4C2312yes—
422C2×C4×D4C2314yes—
423C2×C4×D4C2312yes—
424C2×C4×D4C2311yescharacteristic
425C2×C4×D4C2314yes—
426C2×C4×D4C2312yes—
427C2×C4×D4C2312yes—
428C2×C4×D4C2312yes—
429C2×C4×D4C2312yes—
430C2×C4×D4C2312yes—
431C2×C4×D4C2312yes—
432C2×#117C2312yes—
433C2×#117C2312yes—
434C2×#117C2312yes—
435C2×#117C2312yes—
436C2×#117C2311yescharacteristic
437C2×#117C2312yes—
438C22×C4⋊C4C2312yes—
439C22×C4⋊C4C2312yes—
440C22×C4⋊C4C2312yes—
441C22×C4⋊C4C2312yes—
442C22×C4⋊C4C2312yes—
443C22×C4⋊C4C2312yes—
444C22×C4⋊C4C2312yes—
445C22×C4⋊C4C2312yes—
446C22×C22⋊C4C2314yes—
447C22×C22⋊C4C2314yes—
448C22×C22⋊C4C2314yes—
449C22×C42C2311yescharacteristic
450C22×C42C2311yescharacteristic
451C22×C42C2312yes—
452#400C2312yes—
453#400C2314yes—
454#400C2314yes—
455#400C2314yes—
456#400C2314yes—
457#399C2312yes—
458#399C2312yes—
459#399C2314yes—
460#399C2314yes—
461#399C2314yes—
462#399C2314yes—
463#399C2314yes—
464#399C2314yes—
465#399C2314yes—
466#399C2312yes—
467#399C2314yes—
468#399C2312yes—
469#399C2312yes—
470#399C2314yes—
471#399C2314yes—
472#399C2314yes—
473#399C2314yes—
474#398C2312yes—
475#398C2314yes—
476#398C2314yes—
477#398C2314yes—
478#398C2314yes—
479#398C2314yes—
480#398C2314yes—
481#398C2314yes—
482#398C2314yes—
483#398C2312yes—
484#398C2314yes—
485#398C2314yes—
486#398C2314yes—
487#398C2312yes—
488#398C2312yes—
489#397C2312yes—
490#397C2312yes—
491#397C2314yes—
492#397C2314yes—
493#397C2314yes—
494#397C2314yes—
495#397C2314yes—
496#397C2314yes—
497#397C2314yes—
498#397C2314yes—
499#397C2314yes—
500#396C2314yes—
501#396C2314yes—
502#396C2314yes—
503#396C2314yes—
504#396C2314yes—
505#396C2314yes—
506#396C2314yes—
507#396C2314yes—
508#396C2314yes—
509#396C2314yes—
510#396C2314yes—
511#396C2314yes—
512#396C2314yes—
513#396C2312yes—
514#396C2314yes—
515#396C2314yes—
516#396C2312yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2312yes—
524#396C2312yes—
525#396C2312yes—
526#396C2312yes—
527#395C2312yes—
528#394C2312yes—
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#394C2312yes—
548#394C2314yes—
549#394C2312yes—
550#394C2314yes—
551#394C2312yes—
552#394C2312yes—
553#394C2312yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#393C2312yes—
558#393C2314yes—
559#393C2314yes—
560#393C2314yes—
561#393C2314yes—
562#393C2314yes—
563#392C2314yes—
564#392C2312yes—
565#392C2312yes—
566#392C2314yes—
567#392C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2312yes—
573#392C2312yes—
574#392C2312yes—
575#392C2312yes—
576#392C2314yes—
577#392C2314yes—
578#391C2312yes—
579#391C2312yes—
580#391C2312yes—
581#391C2311yescharacteristic
582#391C2312yes—
583#391C2312yes—
584#391C2314yes—
585#391C2314yes—
586#391C2314yes—
587#391C2311yescharacteristic
588#391C2312yes—
589#391C2311yescharacteristic
590#391C2311yescharacteristic
591#390C2312yes—
592#390C2314yes—
593#390C2312yes—
594#390C2312yes—
595#390C2311yescharacteristic
596#390C2312yes—
597#390C2312yes—
598#390C2312yes—
599#390C2312yes—
600#390C2311yescharacteristic
601#390C2314yes—
602#390C2312yes—
603#390C2311yescharacteristic
604#390C2312yes—
605#390C2312yes—
606#390C2314yes—
607#390C2314yes—
608#390C2312yes—
609#390C2312yes—
610#390C2312yes—
611#390C2314yes—
612#390C2312yes—
613#390C2312yes—
614#390C2312yes—
615#390C2314yes—
616#390C2312yes—
617#390C2312yes—
618#390C2312yes—
619#390C2312yes—
620#390C2312yes—
621#390C2312yes—
622#390C2312yes—
623#390C2314yes—
624#390C2311yescharacteristic
625#390C2314yes—
626#390C2312yes—
627#390C2311yescharacteristic
628#390C2312yes—
629#390C2312yes—
630#390C2314yes—
631#390C2311yescharacteristic
632#389C2312yes—
633#389C2312yes—
634#389C2312yes—
635#389C2312yes—
636#389C2314yes—
637#389C2314yes—
638#389C2312yes—
639#389C2312yes—
640#389C2312yes—
641#389C2311yescharacteristic
642#389C2314yes—
643#389C2314yes—
644#389C2312yes—
645#389C2312yes—
646#389C2311yescharacteristic
647#389C2312yes—
648#389C2312yes—
649#389C2314yes—
650#389C2314yes—
651#389C2314yes—
652#389C2311yescharacteristic
653#389C2312yes—
654#389C2311yescharacteristic
655#389C2311yescharacteristic
656#389C2311yescharacteristic
657#389C2312yes—
658#389C2312yes—
659#389C2312yes—
660#388C2312yes—
661#388C2312yes—
662#388C2312yes—
663#388C2314yes—
664#388C2314yes—
665#388C2314yes—
666#388C2314yes—
667#388C2312yes—
668#388C2312yes—
669#388C2314yes—
670#388C2314yes—
671#388C2314yes—
672#388C2314yes—
673#388C2314yes—
674#388C2314yes—
675#388C2314yes—
676#388C2314yes—
677#388C2314yes—
678#388C2314yes—
679#388C2312yes—
680#388C2312yes—
681#388C2312yes—
682#388C2312yes—
683#388C2312yes—
684#388C2312yes—
685#388C2312yes—
686#388C2312yes—
687#388C2312yes—
688#388C2312yes—
689#388C2312yes—
690#388C2312yes—
691#387C2312yes—
692#387C2314yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2314yes—
698#387C2314yes—
699#387C2312yes—
700#387C2312yes—
701#387C2312yes—
702#387C2312yes—
703#386C2312yes—
704#386C2314yes—
705#386C2314yes—
706#386C2314yes—
707#386C2314yes—
708#386C2312yes—
709#386C2314yes—
710#386C2314yes—
711#386C2314yes—
712#386C2314yes—
713#386C2314yes—
714#386C2314yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2312yes—
720#386C2314yes—
721#386C2314yes—
722#386C2312yes—
723#386C2312yes—
724#386C2312yes—
725#386C2312yes—
726#385C2314yes—
727#385C2314yes—
728#385C2314yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2312yes—
734#385C2314yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2314yes—
742#385C2314yes—
743#385C2314yes—
744#385C2312yes—
745#385C2312yes—
746#384C2311yescharacteristic
747#384C2311yescharacteristic
748#384C2312yes—
749#384C2312yes—
750#384C2312yes—
751#384C2312yes—
752#384C2312yes—
753#384C2311yescharacteristic
754#384C2312yes—
755#384C2311yescharacteristic
756#384C2312yes—
757#384C2312yes—
758#384C2312yes—
759#384C2312yes—
760#382C2314yes—
761#382C2312yes—
762#382C2311yescharacteristic
763#382C2312yes—
764#381C2314yes—
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2312yes—
769#380C2314yes—
770#380C2314yes—
771#380C2314yes—
772#380C2314yes—
773#380C2314yes—
774#380C2314yes—
775#380C2314yes—
776#380C2314yes—
777#380C2311yescharacteristic
778#380C2312yes—
779#380C2312yes—
780#380C2312yes—
781#380C2314yes—
782#380C2311yescharacteristic
783#380C2311yescharacteristic
784#380C2312yes—
785#380C2312yes—
786#380C2314yes—
787#380C2312yes—
788#380C2311yescharacteristic
789#379C2314yes—
790#379C2314yes—
791#379C2314yes—
792#379C2314yes—
793#379C2314yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2311yescharacteristic
796C4×C4⋊C4C2312yes—
797C4×C4⋊C4C2312yes—
798C4×C4⋊C4C2312yes—
799C4×C4⋊C4C2312yes—
800C4×C4⋊C4C2311yescharacteristic
801C4×C4⋊C4C2311yescharacteristic
802C4×C4⋊C4C2311yescharacteristic
803C4×C4⋊C4C2312yes—
804C4×C4⋊C4C2312yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2311yescharacteristic
808C4×C4⋊C4C2311yescharacteristic
809C4×C22⋊C4C2311yescharacteristic
810C4×C22⋊C4C2312yes—
811C4×C22⋊C4C2312yes—
812C4×C22⋊C4C2312yes—
813C4×C22⋊C4C2311yescharacteristic
814C4×C22⋊C4C2312yes—
815C4×C22⋊C4C2312yes—
816C4×C22⋊C4C2311yescharacteristic
817C4×C22⋊C4C2311yescharacteristic
818C4×C22⋊C4C2311yescharacteristic
819C4×C22⋊C4C2312yes—
820C4×C22⋊C4C2311yescharacteristic
821#376C2312yes—
822C43C2311yescharacteristic
823C43C2312yes—
824C25C2414yes—
825C2×#41—24no—
826C2×#41—24no—
827C2×#41—48no—
828C2×#41—48no—
829C2×#41—42no—
830C2×#41—44no—
831C2×#41—48no—
832C2×#41—44no—
833C2×#41—44no—
834C22×Q8C2411yescharacteristic
835C22×Q8C2411yescharacteristic
836C22×Q8C2411yescharacteristic
837C22×Q8C2412yes—
838C22×Q8C2414yes—
839C22×D4—28no—
840C22×D4—44no—
841C22×D4—44no—
842C22×D4—44no—
843C22×D4—44no—
844C22×D4—44no—
845C22×D4C2411yescharacteristic
846C22×D4C2411yescharacteristic
847C22×D4C2412yes—
848C22×D4C2411yescharacteristic
849C22×D4C2412yes—
850C22×D4C2412yes—
851C22×D4C2412yes—
852C22×D4C2412yes—
853C22×D4C2412yes—
854C22×D4C2411yescharacteristic
855C22×D4C2412yes—
856C22×D4C2412yes—
857C22×D4C2412yes—
858C22×D4C2412yes—
859C22×D4C2412yes—
860C22×D4C2414yes—
861C22×D4C2414yes—
862C22×D4C2414yes—
863C22×D4C2414yes—
864C22×D4C2414yes—
865C22×D4C2414yes—
866C22×D4C2414yes—
867C23×C4C2411yescharacteristic
868C23×C4C2411yescharacteristic
869C23×C4C2411yescharacteristic
870C23×C4C2412yes—
871C23×C4C2412yes—
872C23×C4C2412yes—
873C23×C4C2412yes—
874C23×C4C2411yescharacteristic
875C23×C4C2411yescharacteristic
876C23×C4C2411yescharacteristic
877C23×C4C2412yes—
878C23×C4C2414yes—
879C23×C4C2414yes—
880C23×C4C2414yes—
881C23×C4C2414yes—
882C23×C4C2414yes—
883C23×C4C2414yes—
884C4⋊Q8—28no—
885C4⋊Q8—42no—
886C4⋊Q8—44no—
887C4⋊Q8—44no—
888C4⋊Q8—42no—
889#127—24no—
890#127—24no—
891#127—44no—
892#126—44no—
893#126—44no—
894#126—48no—
895#126—48no—
896#126—48no—
897#125—42no—
898#125—42no—
899#125—44no—
900#125—44no—
901#125—48no—
902#124—28no—
903#124—24no—
904#124—44no—
905#124—42no—
906#124—42no—
907#124—44no—
908#124—48no—
909#123—216no—
910#123—48no—
911#123—48no—
912#123—48no—
913#123—48no—
914#123—48no—
915#123—48no—
916#123—48no—
917#123—44no—
918#123—44no—
919#123—48no—
920#123—48no—
921C22⋊Q8—48no—
922C22⋊Q8—48no—
923C22⋊Q8—48no—
924C22⋊Q8—48no—
925C22⋊Q8—44no—
926C22⋊Q8—42no—
927C22⋊Q8—42no—
928C22⋊Q8—42no—
929C22⋊Q8—42no—
930C22⋊Q8—42no—
931C22⋊Q8—48no—
932C22⋊Q8—44no—
933C22⋊Q8—44no—
934C22⋊Q8—48no—
935C22⋊Q8—44no—
936C22⋊Q8—44no—
937#121—24no—
938#121—28no—
939#121—24no—
940#121—28no—
941#121—48no—
942#121—44no—
943#121—48no—
944#121—48no—
945#121—48no—
946#121—42no—
947#121—42no—
948#121—42no—
949#121—44no—
950#121—44no—
951#121—44no—
952#121—44no—
953#121—44no—
954#121—44no—
955#121—44no—
956#121—44no—
957#121—48no—
958#121—44no—
959#121—48no—
960#120—48no—
961#120—48no—
962#120—48no—
963#120—48no—
964#120—48no—
965C4×Q8—24no—
966C4×Q8—24no—
967C4×Q8—24no—
968C4×Q8—24no—
969C4×Q8—44no—
970C4×Q8—42no—
971C4×Q8—42no—
972C4×D4—28no—
973C4×D4—24no—
974C4×D4—24no—
975C4×D4—24no—
976C4×D4—24no—
977C4×D4—24no—
978C4×D4—28no—
979C4×D4—28no—
980C4×D4—24no—
981C4×D4—44no—
982C4×D4—42no—
983C4×D4—48no—
984C4×D4—44no—
985C4×D4—44no—
986C4×D4—44no—
987C4×D4—44no—
988C4×D4—48no—
989C4×D4—44no—
990C4×D4—44no—
991C4×D4—44no—
992C4×D4—44no—
993C4×D4—44no—
994C4×D4—44no—
995C4×D4—44no—
996C4×D4—48no—
997C4×D4—48no—
998#117—44no—
999#117—44no—
1000#117—44no—
1001#117—44no—
1002#117—42no—
1003#117—44no—
1004C2×C4⋊C4—28no—
1005C2×C4⋊C4—44no—
1006C2×C4⋊C4—44no—
1007C2×C4⋊C4—44no—
1008C2×C4⋊C4—44no—
1009C2×C4⋊C4—44no—
1010C2×C4⋊C4—44no—
1011C2×C4⋊C4—44no—
1012C2×C4⋊C4C2411yescharacteristic
1013C2×C4⋊C4C2412yes—
1014C2×C4⋊C4C2412yes—
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2414yes—
1020C2×C4⋊C4C2414yes—
1021C2×C4⋊C4C2411yescharacteristic
1022C2×C4⋊C4C2411yescharacteristic
1023C2×C4⋊C4C2411yescharacteristic
1024C2×C4⋊C4C2412yes—
1025C2×C4⋊C4C2411yescharacteristic
1026C2×C4⋊C4C2411yescharacteristic
1027C2×C4⋊C4C2411yescharacteristic
1028C2×C4⋊C4C2411yescharacteristic
1029C2×C4⋊C4C2411yescharacteristic
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2414yes—
1032C2×C4⋊C4C2412yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2412yes—
1035C2×C4⋊C4C2411yescharacteristic
1036C2×C4⋊C4C2411yescharacteristic
1037C2×C4⋊C4C2411yescharacteristic
1038C2×C4⋊C4C2412yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2411yescharacteristic
1042C2×C4⋊C4C2412yes—
1043C2×C4⋊C4C2412yes—
1044C2×C4⋊C4C2412yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2412yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2412yes—
1058C2×C4⋊C4C2414yes—
1059C2×C4⋊C4C2414yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2412yes—
1063C2×C4⋊C4C2412yes—
1064C2×C4⋊C4C2412yes—
1065C2×C4⋊C4C2412yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2412yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2414yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2414yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2414yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2412yes—
1077C2×C4⋊C4C2414yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2412yes—
1080C2×C22⋊C4—48no—
1081C2×C22⋊C4—48no—
1082C2×C22⋊C4—48no—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2412yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2414yes—
1094C2×C22⋊C4C2414yes—
1095C2×C22⋊C4C2412yes—
1096C2×C22⋊C4C2412yes—
1097C2×C22⋊C4C2411yescharacteristic
1098C2×C22⋊C4C2411yescharacteristic
1099C2×C22⋊C4C2411yescharacteristic
1100C2×C22⋊C4C2411yescharacteristic
1101C2×C22⋊C4C2411yescharacteristic
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2412yes—
1105C2×C22⋊C4C2412yes—
1106C2×C22⋊C4C2412yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2412yes—
1114C2×C22⋊C4C2412yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2412yes—
1117C2×C22⋊C4C2412yes—
1118C2×C22⋊C4C2412yes—
1119C2×C22⋊C4C2412yes—
1120C2×C22⋊C4C2412yes—
1121C2×C22⋊C4C2412yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2414yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2414yes—
1129C2×C22⋊C4C2414yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2412yes—
1132C2×C22⋊C4C2412yes—
1133C2×C22⋊C4C2414yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2412yes—
1137C2×C22⋊C4C2412yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2412yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2412yes—
1142C2×C22⋊C4C2414yes—
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2414yes—
1147C2×C22⋊C4C2414yes—
1148C2×C22⋊C4C2414yes—
1149C2×C22⋊C4C2414yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2414yes—
1153C2×C22⋊C4C2414yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2414yes—
1157C2×C22⋊C4C2414yes—
1158C2×C22⋊C4C2411yescharacteristic
1159C2×C42—24no—
1160C2×C42—24no—
1161C2×C42—44no—
1162C2×C42C2412yes—
1163C2×C42C2411yescharacteristic
1164C2×C42C2411yescharacteristic
1165C2×C42C2411yescharacteristic
1166C2×C42C2412yes—
1167C2×C42C2412yes—
1168C2×C42C2412yes—
1169C2×C42C2411yescharacteristic
1170C2×C42C2411yescharacteristic
1171C2×C42C2412yes—
1172C2×C42C2411yescharacteristic
1173C2×C42C2412yes—
1174C2×C42C2412yes—
1175C2×C42C2411yescharacteristic
1176C2×C42C2411yescharacteristic
1177C2×C42C2411yescharacteristic
1178C2×C42C2411yescharacteristic
1179C2×C42C2412yes—
1180C2×C42C2414yes—
1181C2×C42C2412yes—
1182C2×C42C2414yes—
1183C2×C42C2412yes—
1184C2×C42C2411yescharacteristic
1185C2×C42C2412yes—
1186C2×C42C2411yescharacteristic
1187C2×C42C2411yescharacteristic
1188#95C2412yes—
1189#95C2412yes—
1190#95C2412yes—
1191#95C2412yes—
1192#95C2411yescharacteristic
1193#95C2411yescharacteristic
1194#95C2411yescharacteristic
1195#95C2411yescharacteristic
1196#95C2411yescharacteristic
1197#95C2411yescharacteristic
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#95C2414yes—
1216#95C2414yes—
1217#95C2414yes—
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—
1233#95C2414yes—
1234#95C2414yes—
1235#95C2414yes—
1236C24—28no—
1237C24—44no—
1238C24—44no—
1239C24—44no—
1240C24—44no—
1241C24—44no—
1242C24—44no—
1243C24C2512yes—
1244C24C2514yes—
1245C24C2512yes—
1246C24C2511yescharacteristic
1247C24C2511yescharacteristic
1248C24C2512yes—
1249#41—416no—
1250#41—816no—
1251#41—832no—
1252C2×Q8—22no—
1253C2×Q8—22no—
1254C2×Q8—22no—
1255C2×Q8—22no—
1256C2×Q8—22no—
1257C2×Q8—22no—
1258C2×Q8—28no—
1259C2×Q8—24no—
1260C2×Q8—22no—
1261C2×Q8—22no—
1262C2×Q8—22no—
1263C2×Q8—42no—
1264C2×Q8—44no—
1265C2×Q8—44no—
1266C2×Q8—42no—
1267C2×D4—22no—
1268C2×D4—22no—
1269C2×D4—24no—
1270C2×D4—24no—
1271C2×D4—24no—
1272C2×D4—24no—
1273C2×D4—24no—
1274C2×D4—24no—
1275C2×D4—24no—
1276C2×D4—24no—
1277C2×D4—24no—
1278C2×D4—28no—
1279C2×D4—28no—
1280C2×D4—24no—
1281C2×D4—28no—
1282C2×D4—22no—
1283C2×D4—22no—
1284C2×D4—22no—
1285C2×D4—24no—
1286C2×D4—24no—
1287C2×D4—22no—
1288C2×D4—22no—
1289C2×D4—24no—
1290C2×D4—22no—
1291C2×D4—24no—
1292C2×D4—24no—
1293C2×D4—22no—
1294C2×D4—24no—
1295C2×D4—24no—
1296C2×D4—22no—
1297C2×D4—24no—
1298C2×D4—22no—
1299C2×D4—24no—
1300C2×D4—42no—
1301C2×D4—42no—
1302C2×D4—42no—
1303C2×D4—42no—
1304C2×D4—42no—
1305C2×D4—42no—
1306C2×D4—42no—
1307C2×D4—42no—
1308C2×D4—42no—
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—42no—
1320C2×D4—44no—
1321C2×D4—42no—
1322C2×D4—42no—
1323C2×D4—42no—
1324C2×D4—42no—
1325C2×D4—44no—
1326C2×D4—44no—
1327C2×D4—44no—
1328C2×D4—44no—
1329C2×D4—44no—
1330C2×D4—44no—
1331C2×D4—44no—
1332C2×D4—816no—
1333C2×D4—816no—
1334C2×D42−1+414yes—
1335C22×C4—22no—
1336C22×C4—22no—
1337C22×C4—22no—
1338C22×C4—24no—
1339C22×C4—28no—
1340C22×C4—28no—
1341C22×C4—22no—
1342C22×C4—22no—
1343C22×C4—22no—
1344C22×C4—22no—
1345C22×C4—22no—
1346C22×C4—24no—
1347C22×C4—24no—
1348C22×C4—22no—
1349C22×C4—22no—
1350C22×C4—22no—
1351C22×C4—22no—
1352C22×C4—24no—
1353C22×C4—24no—
1354C22×C4—24no—
1355C22×C4—24no—
1356C22×C4—24no—
1357C22×C4—22no—
1358C22×C4—24no—
1359C22×C4—22no—
1360C22×C4—22no—
1361C22×C4—24no—
1362C22×C4—24no—
1363C22×C4—24no—
1364C22×C4—28no—
1365C22×C4—42no—
1366C22×C4—41no—
1367C22×C4—41no—
1368C22×C4—42no—
1369C22×C4—44no—
1370C22×C4—44no—
1371C22×C4—44no—
1372C22×C4—44no—
1373C22×C4—44no—
1374C22×C4—44no—
1375C22×C4—44no—
1376C22×C4—44no—
1377C22×C4—42no—
1378C22×C4—44no—
1379C22×C4—44no—
1380C22×C4—44no—
1381C22×C4—44no—
1382C22×C4—44no—
1383C22×C4—44no—
1384C22×C4—44no—
1385C22×C4H(5,𝔽2)14yes—
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2512yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2512yes—
1393C22×C4C2511yescharacteristic
1394C22×C4C2512yes—
1395C22×C4C2511yescharacteristic
1396C22×C4C2512yes—
1397C22×C4C2512yes—
1398C22×C4C2512yes—
1399C22×C4C2512yes—
1400C22×C4C2511yescharacteristic
1401C22×C4C2514yes—
1402C22×C4C2514yes—
1403C22×C4C2514yes—
1404C22×C4C2512yes—
1405C22×C4C2511yescharacteristic
1406C22×C4C2511yescharacteristic
1407C22×C4C2511yescharacteristic
1408C22×C4C2511yescharacteristic
1409C22×C4C2511yescharacteristic
1410C22×C4C2511yescharacteristic
1411C22×C4C2511yescharacteristic
1412C22×C4C2511yescharacteristic
1413C22×C4C2511yescharacteristic
1414C22×C4C2511yescharacteristic
1415C4⋊C4—24no—
1416C4⋊C4—24no—
1417C4⋊C4—28no—
1418C4⋊C4—22no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—24no—
1422C4⋊C4—24no—
1423C4⋊C4—28no—
1424C4⋊C4—22no—
1425C4⋊C4—22no—
1426C4⋊C4—22no—
1427C4⋊C4—24no—
1428C4⋊C4—22no—
1429C4⋊C4—22no—
1430C4⋊C4—22no—
1431C4⋊C4—22no—
1432C4⋊C4—22no—
1433C4⋊C4—24no—
1434C4⋊C4—24no—
1435C4⋊C4—28no—
1436C4⋊C4—28no—
1437C4⋊C4—24no—
1438C4⋊C4—22no—
1439C4⋊C4—22no—
1440C4⋊C4—24no—
1441C4⋊C4—24no—
1442C4⋊C4—24no—
1443C4⋊C4—22no—
1444C4⋊C4—22no—
1445C4⋊C4—42no—
1446C4⋊C4—42no—
1447C4⋊C4—42no—
1448C4⋊C4—44no—
1449C4⋊C4—44no—
1450C4⋊C4—44no—
1451C4⋊C4—44no—
1452C4⋊C4—44no—
1453C4⋊C4—44no—
1454C4⋊C4—42no—
1455C4⋊C4—42no—
1456C4⋊C4—42no—
1457C4⋊C4—42no—
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—44no—
1467C4⋊C4—44no—
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—44no—
1478C4⋊C4—44no—
1479C4⋊C4—42no—
1480C4⋊C4—44no—
1481C4⋊C4—44no—
1482C4⋊C4—44no—
1483C22⋊C4—24no—
1484C22⋊C4—22no—
1485C22⋊C4—24no—
1486C22⋊C4—24no—
1487C22⋊C4—24no—
1488C22⋊C4—24no—
1489C22⋊C4—24no—
1490C22⋊C4—24no—
1491C22⋊C4—28no—
1492C22⋊C4—28no—
1493C22⋊C4—24no—
1494C22⋊C4—24no—
1495C22⋊C4—28no—
1496C22⋊C4—24no—
1497C22⋊C4—24no—
1498C22⋊C4—22no—
1499C22⋊C4—22no—
1500C22⋊C4—22no—
1501C22⋊C4—22no—
1502C22⋊C4—28no—
1503C22⋊C4—24no—
1504C22⋊C4—24no—
1505C22⋊C4—24no—
1506C22⋊C4—24no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—42no—
1514C22⋊C4—44no—
1515C22⋊C4—44no—
1516C22⋊C4—42no—
1517C22⋊C4—42no—
1518C22⋊C4—42no—
1519C22⋊C4—44no—
1520C22⋊C4—42no—
1521C22⋊C4—42no—
1522C22⋊C4—42no—
1523C22⋊C4—42no—
1524C22⋊C4—42no—
1525C22⋊C4—42no—
1526C22⋊C4—42no—
1527C22⋊C4—42no—
1528C22⋊C4—42no—
1529C22⋊C4—42no—
1530C22⋊C4—42no—
1531C22⋊C4—42no—
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—44no—
1544C22⋊C4—42no—
1545C22⋊C4—42no—
1546C22⋊C4—44no—
1547C22⋊C4—44no—
1548C22⋊C4—44no—
1549C22⋊C4—44no—
1550C22⋊C4—42no—
1551C22⋊C4—44no—
1552C22⋊C4—44no—
1553C22⋊C4—44no—
1554C22⋊C4—44no—
1555C22⋊C4—42no—
1556C22⋊C4—44no—
1557C22⋊C4—44no—
1558C22⋊C4H(5,𝔽2)14yes—
1559C42—22no—
1560C42—22no—
1561C42—22no—
1562C42—22no—
1563C42—22no—
1564C42—22no—
1565C42—24no—
1566C42—24no—
1567C42—24no—
1568C42—24no—
1569C42—22no—
1570C42—22no—
1571C42—24no—
1572C42—24no—
1573C42—22no—
1574C42—22no—
1575C42—24no—
1576C42—42no—
1577C42—42no—
1578C42—41no—
1579C42—42no—
1580C42—44no—
1581C42—44no—
1582C42—42no—
1583C42H(5,𝔽2)14yes—
1584C42H(5,𝔽2)14yes—
1585C23—22no—
1586C23—22no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—22no—
1594C23—22no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—22no—
1600C23—22no—
1601C23—21no—
1602C23—21no—
1603C23—22no—
1604C23—24no—
1605C23—22no—
1606C23—22no—
1607C23—22no—
1608C23—24no—
1609C23—22no—
1610C23—22no—
1611C23—22no—
1612C23—24no—
1613C23—22no—
1614C23—24no—
1615C23—22no—
1616C23—22no—
1617C23—24no—
1618C23—22no—
1619C23—24no—
1620C23—22no—
1621C23—24no—
1622C23—22no—
1623C23—22no—
1624C23—88no—
1625C23—88no—
1626C23—88no—
1627C23—88no—
1628C23—88no—
1629C23—164no—
1630C23—164no—
1631C23C2×H(5,𝔽2)12yes—
1632C23C2×H(5,𝔽2)12yes—
1633C23C2×2−1+414yes—
1634C23C2611yescharacteristic
1635Q8—44no—
1636Q8—44no—
1637Q8—44no—
1638Q8—84no—
1639Q8—88no—
1640D4—28no—
1641D4—28no—
1642D4—48no—
1643D4—48no—
1644D4—48no—
1645D4—48no—
1646D4—48no—
1647D4—44no—
1648D4—48no—
1649D4—44no—
1650D4—48no—
1651D4—84no—
1652D4—84no—
1653D4—84no—
1654D4—84no—
1655D4—88no—
1656D4—88no—
1657D4—88no—
1658D4—88no—
1659D4—88no—
1660D4—164no—
1661D4—164no—
1662C2×C4—21no—
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—28no—
1675C2×C4—21no—
1676C2×C4—21no—
1677C2×C4—21no—
1678C2×C4—21no—
1679C2×C4—22no—
1680C2×C4—22no—
1681C2×C4—21no—
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—22no—
1696C2×C4—22no—
1697C2×C4—24no—
1698C2×C4—24no—
1699C2×C4—22no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—22no—
1705C2×C4—22no—
1706C2×C4—22no—
1707C2×C4—24no—
1708C2×C4—24no—
1709C2×C4—24no—
1710C2×C4—22no—
1711C2×C4—22no—
1712C2×C4—22no—
1713C2×C4—24no—
1714C2×C4—24no—
1715C2×C4—24no—
1716C2×C4—24no—
1717C2×C4—21no—
1718C2×C4—22no—
1719C2×C4—22no—
1720C2×C4—22no—
1721C2×C4—21no—
1722C2×C4—22no—
1723C2×C4—22no—
1724C2×C4—22no—
1725C2×C4—22no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—22no—
1729C2×C4—22no—
1730C2×C4—22no—
1731C2×C4—21no—
1732C2×C4—22no—
1733C2×C4—22no—
1734C2×C4—22no—
1735C2×C4—21no—
1736C2×C4—22no—
1737C2×C4—22no—
1738C2×C4—44no—
1739C2×C4—44no—
1740C2×C4—48no—
1741C2×C4—44no—
1742C2×C4—48no—
1743C2×C4—44no—
1744C2×C4—44no—
1745C2×C4—48no—
1746C2×C4—48no—
1747C2×C4—84no—
1748C2×C4—88no—
1749C2×C4—88no—
1750C2×C4—88no—
1751C2×C4—88no—
1752C2×C4—164no—
1753C2×C4—164no—
1754C2×C4C2×H(5,𝔽2)12yes—
1755C2×C4C2×H(5,𝔽2)12yes—
1756C2×C4C2×H(5,𝔽2)12yes—
1757C2×C4C2×H(5,𝔽2)12yes—
1758C2×C4C2×H(5,𝔽2)12yes—
1759C2×C4C2×H(5,𝔽2)12yes—
1760C2×C4C2×H(5,𝔽2)12yes—
1761C2×C4C2×H(5,𝔽2)12yes—
1762C2×C4C2×H(5,𝔽2)12yes—
1763C2×C4C2×H(5,𝔽2)12yes—
1764C2×C4C2×2−1+412yes—
1765C2×C4#58512yes—
1766C22—22no—
1767C22—24no—
1768C22—24no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—24no—
1775C22—41no—
1776C22—41no—
1777C22—41no—
1778C22—42no—
1779C22—41no—
1780C22—42no—
1781C22—41no—
1782C22—42no—
1783C22—41no—
1784C22—42no—
1785C22—41no—
1786C22—41no—
1787C22—42no—
1788C22—44no—
1789C22—42no—
1790C22—42no—
1791C22—44no—
1792C22—42no—
1793C22—42no—
1794C22—44no—
1795C22—42no—
1796C22—44no—
1797C22—42no—
1798C22—42no—
1799C22—42no—
1800C22—44no—
1801C22—42no—
1802C22—42no—
1803C22—42no—
1804C22—44no—
1805C22—42no—
1806C22—44no—
1807C22—42no—
1808C22—1616no—
1809C22C22×H(5,𝔽2)11yescharacteristic
1810C22C22×H(5,𝔽2)11yescharacteristic
1811C22C22×H(5,𝔽2)11yescharacteristic
1812C22C22×H(5,𝔽2)11yescharacteristic
1813C22C22×2−1+411yescharacteristic
1814C22C2×#58511yescharacteristic
1815C222−1+611yescharacteristic
1816C4—22no—
1817C4—22no—
1818C4—22no—
1819C4—22no—
1820C4—22no—
1821C4—22no—
1822C4—41no—
1823C4—42no—
1824C4—42no—
1825C4—41no—
1826C4—41no—
1827C4—42no—
1828C4—42no—
1829C4—42no—
1830C4—42no—
1831C4—42no—
1832C4—44no—
1833C4—44no—
1834C4—44no—
1835C4—42no—
1836C4—41no—
1837C4—42no—
1838C4—42no—
1839C4—42no—
1840C4—41no—
1841C4—42no—
1842C4—42no—
1843C4#353614yes—
1844C4#354614yes—
1845C2—42no—
1846C2—42no—
1847C2—44no—
1848C2—82no—
1849C2—84no—
1850C2—82no—
1851C2C2×#353611yescharacteristic
1852C2C2×#354611yescharacteristic
1853C2#6283211yescharacteristic
1854C2#6291411yescharacteristic
1855C2#6292511yescharacteristic
1856C2#6294211yescharacteristic
1857C2#6301311yescharacteristic
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. #59412C2semidirect
2. #59305C2semidirect
3. #59304C2semidirect
4. #54986C2semidirect
5. #54867C2semidirect
6. #54351C2semidirect
7. #52981C2semidirect
8. #52964C2semidirect
9. #47845C2semidirect
10. #46104C2semidirect
11. #45632C2semidirect
12. #45356C2semidirect
13. #45353C2semidirect
14. #42504C2semidirect
15. #42486C2semidirect
16. #42478C2semidirect
17. #42476C2semidirect
18. #39761C2semidirect
19. #39725C2semidirect
20. #39396C2semidirect
21. #39375C2semidirect
22. #38945C2semidirect
23. #38910C2semidirect
24. #38909C2semidirect
25. #38078C2semidirect
26. #37620C2semidirect
27. #37335C2semidirect
28. #37333C2semidirect
29. #36559C2semidirect
30. #36258C2semidirect
31. #36179C2semidirect
32. #35280C2semidirect
33. #35186C2semidirect
34. #34919C2semidirect
35. #34727C2semidirect
36. C2×#554C22semidirect
37. C2×#553C22semidirect
39. C2×#547C22semidirect
40. C2×#547C22semidirect
41. C2×#547C22semidirect
45. C2×#538C22semidirect
46. C2×#533C22semidirect
48. C2×#529C22semidirect
50. #2868C22semidirect
51. #2861C22semidirect
52. #2860C22semidirect
53. #2859C22semidirect
54. #2857C22semidirect
55. #2857C22semidirect
59. #2842C22semidirect
60. #2837C22semidirect
61. #2837C22semidirect
62. #2829C22semidirect
63. #2827C22semidirect
64. #2823C22semidirect
65. #2816C22semidirect
66. #2813C22semidirect
67. #2807C22semidirect
68. #2793C22semidirect
69. #2790C22semidirect
70. #2780C22semidirect
71. #2773C22semidirect
72. #2768C22semidirect
73. #2754C22semidirect
74. #2748C22semidirect
75. #2732C22semidirect
76. #2732C22semidirect
77. #2730C22semidirect
78. #2727C22semidirect
79. #2718C22semidirect
80. #2716C22semidirect
81. #2711C22semidirect
82. #2710C22semidirect
83. #2710C22semidirect
84. #2708C22semidirect
85. #2706C22semidirect
86. #2706C22semidirect
87. #2705C22semidirect
88. #2705C22semidirect
89. #2705C22semidirect
90. #2705C22semidirect
91. #2703C22semidirect
92. #2702C22semidirect
93. #2700C22semidirect
94. #2697C22semidirect
95. #2695C22semidirect
96. #2694C22semidirect
97. #2694C22semidirect
98. #2694C22semidirect
99. #2694C22semidirect
100. #2693C22semidirect
101. #2692C22semidirect
102. #2691C22semidirect
103. #2687C22semidirect
105. #2685C22semidirect
106. #2682C22semidirect
107. #2681C22semidirect
108. #2681C22semidirect
111. #2678C22semidirect
112. #2678C22semidirect
113. #2678C22semidirect
114. #2676C22semidirect
115. #2671C22semidirect
116. #2651C22semidirect
118. #2636C22semidirect
119. #2630C22semidirect
120. #2629C22semidirect
121. #2629C22semidirect
122. #2629C22semidirect
123. #2626C22semidirect
124. #2626C22semidirect
126. #2624C22semidirect
128. #2620C22semidirect
129. #2619C22semidirect
130. #2618C22semidirect
131. #2615C22semidirect
132. #2582C22semidirect
133. #2582C22semidirect
134. #2582C22semidirect
135. #2580C22semidirect
136. #2579C22semidirect
138. #2566C22semidirect
139. #2563C22semidirect
140. #2560C22semidirect
141. #2558C22semidirect
142. #2552C22semidirect
143. #2550C22semidirect
146. #2548C22semidirect
148. #2544C22semidirect
149. #2542C22semidirect
150. #2542C22semidirect
151. #2542C22semidirect
154. #2540C22semidirect
159. #2538C22semidirect
160. #2538C22semidirect
162. #2536C22semidirect
164. #2519C22semidirect
166. #2512C22semidirect
167. #2511C22semidirect
168. #2507C22semidirect
169. #2502C22semidirect
171. #2501C22semidirect
172. #2501C22semidirect
173. #2501C22semidirect
174. #2501C22semidirect
175. #2501C22semidirect
176. #2501C22semidirect
177. #2499C22semidirect
178. #2497C22semidirect
179. #2496C22semidirect
180. #2496C22semidirect
181. #2492C22semidirect
183. #2491C22semidirect
185. #2489C22semidirect
186. #2487C22semidirect
187. #2479C22semidirect
188. #2471C22semidirect
189. #2468C22semidirect
190. #2467C22semidirect
191. #2461C22semidirect
192. #2456C22semidirect
193. #2456C22semidirect
194. #2456C22semidirect
195. #2456C22semidirect
197. #2454C22semidirect
198. #2454C22semidirect
200. #2452C22semidirect
201. #2452C22semidirect
202. #2448C22semidirect
203. #2448C22semidirect
204. #2447C22semidirect
205. #2443C22semidirect
206. #2442C22semidirect
207. #2441C22semidirect
208. #2441C22semidirect
209. #2439C22semidirect
210. #2437C22semidirect
211. #2437C22semidirect
214. #2432C22semidirect
216. #2429C22semidirect
219. #2428C22semidirect
220. #2427C22semidirect
225. #2423C22semidirect
227. #2422C22semidirect
228. #2418C22semidirect
229. #2418C22semidirect
230. #2418C22semidirect
231. #2418C22semidirect
232. #2417C22semidirect
233. #2417C22semidirect
234. #2417C22semidirect
235. #2417C22semidirect
236. #2417C22semidirect
237. #2417C22semidirect
241. #2416C22semidirect
242. #2416C22semidirect
245. #2414C22semidirect
253. #2407C22semidirect
254. #2407C22semidirect
255. #2407C22semidirect
256. #2407C22semidirect
257. #2404C22semidirect
258. #2397C22semidirect
259. #2396C22semidirect
260. #2392C22semidirect
261. #2392C22semidirect
262. #2376C22semidirect
264. #2355C22semidirect
267. D4×C4⋊C4C22semidirect
268. D4×C4⋊C4C22semidirect
269. D4×C4⋊C4C22semidirect
270. D4×C4⋊C4C22semidirect
273. #2331C22semidirect
274. #2326C22semidirect
275. #2324C22semidirect
276. #2319C22semidirect
277. #2316C22semidirect
279. #2311C22semidirect
285. C4×#124C22semidirect
286. C4×C22⋊Q8C22semidirect
289. C4×#121C22semidirect
290. C4×#121C22semidirect
291. #2295C22semidirect
292. #2293C22semidirect
294. #2290C22semidirect
295. C2×#384C22semidirect
296. C2×#384C22semidirect
297. C42×Q8C22semidirect
298. C42×D4C22semidirect

Maximal subgroups

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

subgroupindex
#594122
#593052
#593042
#549862
#548672
#543512
#529812
#529642
#478452
#461042
#456322
#453562
#453532
#425042
#424862
#424782
#424762
#397612
#397252
#393962
#393752
#389452
#389102
#389092
#380782
#376202
#373352
#373332
#365592
#362582
#361792
#352802
#351862
#349192
#347272