Finite Group Databasebeta

← #7743547

Subgroups — #7743547

Order 512.

7088 conjugacy classes of subgroups.

The subgroup lattice has 1800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3540C211yesmaximal, characteristic, complemented
2C2×#3529C211yesmaximal, characteristic, complemented
3#51201C212yesmaximal, complemented
4#50886C214yesmaximal, complemented
5#50684C212yesmaximal, complemented
6#49580C214yesmaximal, complemented
7#49579C214yesmaximal, complemented
8#47866C214yesmaximal, complemented
9#47865C214yesmaximal, complemented
10#45478C212yesmaximal, complemented
11#45477C214yesmaximal, complemented
12#45477C212yesmaximal, complemented
13#39468C212yesmaximal, complemented
14#39334C212yesmaximal, complemented
15#38922C212yesmaximal, complemented
16#38903C212yesmaximal, complemented
17#38051C212yesmaximal, complemented
18#38024C212yesmaximal, complemented
19#37845C212yesmaximal, complemented
20#37649C212yesmaximal, complemented
21#37445C212yesmaximal, complemented
22#37376C211yesmaximal, characteristic, complemented
23#37277C212yesmaximal, complemented
24#37269C211yesmaximal, characteristic, complemented
25#35633C211yesmaximal, characteristic, complemented
26#35569C212yesmaximal, complemented
27#35533C211yesmaximal, characteristic, complemented
28#35223C212yesmaximal, complemented
29#34200C211yesmaximal, characteristic, complemented
30#3540—216no—
31#3529—216no—
32C2×#563C2211yescharacteristic, complemented
33C2×#563C2212yescomplemented
34C2×#562C2212yes—
35C2×#562C2212yes—
36C2×#562C2212yescomplemented
37C2×H(3,𝔽4)C2212yescomplemented
38C2×H(3,𝔽4)C2211yescharacteristic, complemented
39C2×#560C2212yes—
40C2×#560C2212yes—
41C2×#560C2212yes—
42C2×#560C2211yescharacteristic, complemented
43C2×#560C2211yescharacteristic, complemented
44C2×#559C2212yes—
45C2×#556C2212yescomplemented
46C2×#555C2212yes—
47C2×#551C2212yescomplemented
48C2×#548C2212yes—
49C2×#546C2212yescomplemented
50C2×#542C2212yescomplemented
51C2×#542C2214yescomplemented
52C2×#538C2214yes—
53C2×#537C2212yes—
54C2×#536C2211yescharacteristic
55C2×#535C2211yescharacteristic
56C2×#535C2211yescharacteristic, complemented
57C2×#532C2211yescharacteristic
58C2×#532C2212yes—
59C2×#529C2212yes—
60C2×#529C2212yescomplemented
61C2×#529C2212yescomplemented
62C2×#525C2211yescharacteristic
63C2×#525C2211yescharacteristic
64C2×#525C2212yescomplemented
65C2×#525C2212yescomplemented
66C2×#525C2212yescomplemented
67C22×C22⋊Q8C2211yescharacteristic, complemented
68C2×#520C2211yescharacteristic
69C23×C4⋊C4C2211yescharacteristic, complemented
70#2857C2212yescomplemented
71#2855C2212yescomplemented
72#2850C2212yescomplemented
73#2847C2212yescomplemented
74#2847C2214yescomplemented
75#2847C2214yescomplemented
76#2812C2214yescomplemented
77#2812C2214yescomplemented
78#2734C2212yescomplemented
79#2731C2212yescomplemented
80#2730C2214yescomplemented
81#2725C2214yescomplemented
82#2718C2214yescomplemented
83#2717C2212yescomplemented
84#2717C2214yescomplemented
85#2715C2214yescomplemented
86#2715C2214yescomplemented
87#2715C2214yescomplemented
88#2715C2214yescomplemented
89#2715C2214yescomplemented
90#2709C2212yes—
91#2709C2212yescomplemented
92#2707C2214yescomplemented
93#2705C2214yescomplemented
94#2705C2214yescomplemented
95#2702C2214yescomplemented
96#2701C2214yescomplemented
97#2700C2214yescomplemented
98#2697C2212yescomplemented
99#2693C2214yescomplemented
100#2692C2214yescomplemented
101#2691C2214yescomplemented
102#2691C2214yescomplemented
103#2691C2214yescomplemented
104#2690C2214yescomplemented
105#2689C2214yescomplemented
106#2688C2214yescomplemented
107#2688C2214yescomplemented
108#2686C2214yes—
109#2686C2214yescomplemented
110#2686C2214yescomplemented
111#2683C2214yescomplemented
112#2683C2214yescomplemented
113#2681C2214yescomplemented
114#2679C2212yescomplemented
115#2676C2214yes—
116#2676C2214yescomplemented
117#2676C2214yescomplemented
118#2674C2214yescomplemented
119#2673C2214yescomplemented
120#2672C2214yescomplemented
121#2672C2214yescomplemented
122#2672C2214yescomplemented
123#2672C2214yescomplemented
124#2670C2214yescomplemented
125#2669C2212yes—
126#2669C2214yes—
127#2668C2214yes—
128#2668C2214yescomplemented
129#2668C2214yescomplemented
130#2663C2214yescomplemented
131#2661C2214yescomplemented
132#2638C2214yescomplemented
133#2635C2214yescomplemented
134#2628C2212yescomplemented
135#2625C2212yescomplemented
136#2624C2212yescomplemented
137#2624C2212yescomplemented
138#2620C2212yescomplemented
139#2618C2214yescomplemented
140#2618C2214yescomplemented
141#2616C2212yescomplemented
142#2616C2212yescomplemented
143#2615C2212yes—
144#2602C2214yescomplemented
145#2602C2214yescomplemented
146#2592C2212yescomplemented
147#2581C2212yescomplemented
148#2567C2212yescomplemented
149#2560C2214yescomplemented
150#2557C2214yescomplemented
151#2557C2214yescomplemented
152#2557C2214yescomplemented
153#2556C2214yescomplemented
154#2555C2214yes—
155#2555C2214yescomplemented
156#2555C2214yescomplemented
157#2548C2212yescomplemented
158#2547C2212yescomplemented
159#2545C2212yescomplemented
160#2544C2212yes—
161#2544C2214yes—
162#2541C2212yes—
163#2540C2212yescomplemented
164#2538C2212yescomplemented
165#2538C2212yescomplemented
166#2537C2214yescomplemented
167#2535C2212yescomplemented
168#2534C2212yescomplemented
169#2534C2212yescomplemented
170#2534C2214yescomplemented
171#2521C2214yescomplemented
172#2521C2214yescomplemented
173#2521C2214yescomplemented
174#2512C2214yescomplemented
175#2496C2214yescomplemented
176#2486C2212yescomplemented
177#2486C2212yescomplemented
178#2485C2212yescomplemented
179#2485C2212yescomplemented
180#2485C2212yescomplemented
181#2485C2212yescomplemented
182#2477C2214yescomplemented
183#2472C2214yescomplemented
184#2471C2214yescomplemented
185#2469C2214yescomplemented
186#2468C2214yescomplemented
187#2462C2214yescomplemented
188#2461C2214yescomplemented
189#2457C2214yescomplemented
190#2451C2214yescomplemented
191#2449C2214yescomplemented
192#2441C2214yescomplemented
193#2437C2214yescomplemented
194#2429C2214yescomplemented
195#2428C2214yescomplemented
196#2427C2214yes—
197#2427C2214yescomplemented
198#2427C2214yescomplemented
199#2426C2214yescomplemented
200#2424C2214yes—
201#2424C2214yescomplemented
202#2424C2214yescomplemented
203#2424C2214yescomplemented
204#2424C2214yescomplemented
205#2424C2214yescomplemented
206#2422C2214yescomplemented
207#2417C2212yescomplemented
208#2417C2214yescomplemented
209#2417C2212yescomplemented
210#2417C2212yescomplemented
211#2417C2212yescomplemented
212#2417C2212yescomplemented
213#2417C2214yescomplemented
214#2416C2212yes—
215#2416C2212yes—
216#2416C2212yescomplemented
217#2416C2212yescomplemented
218#2416C2214yescomplemented
219#2416C2214yescomplemented
220#2416C2214yescomplemented
221#2416C2212yescomplemented
222#2415C2212yescomplemented
223#2415C2214yescomplemented
224#2415C2212yescomplemented
225#2415C2212yescomplemented
226#2414C2212yes—
227#2414C2212yescomplemented
228#2414C2212yescomplemented
229#2412C2214yescomplemented
230#2409C2212yescomplemented
231#2408C2212yescomplemented
232#2407C2212yes—
233#2407C2212yescomplemented
234#2361C2214yes—
235#2360C2214yescomplemented
236#2352C2212yescomplemented
237#2352C2212yescomplemented
238D4×C4⋊C4C2212yescomplemented
239D4×C4⋊C4C2212yescomplemented
240#2324C2212yescomplemented
241#2323C2212yescomplemented
242#2322C2212yescomplemented
243#2322C2212yescomplemented
244#2317C2211yescharacteristic, complemented
245#2316C2211yescharacteristic, complemented
246#2316C2212yescomplemented
247#2311C2211yescharacteristic
248#2311C2211yescharacteristic, complemented
249#2311C2212yescomplemented
250#2311C2212yescomplemented
251#2310C2211yescharacteristic, complemented
252C4×C22⋊Q8C2212yescomplemented
253C4×#121C2212yescomplemented
254C4×#120C2212yescomplemented
255C4×#120C2212yescomplemented
256#2296C2211yescharacteristic, complemented
257C2×#390C2211yescharacteristic, complemented
258#2280C2211yescharacteristic, complemented
259#2280C2211yescharacteristic, complemented
260#2274C2211yescharacteristic, complemented
261C22×#41C2312yes—
262C22×#41C2311yescharacteristic
263C22×#41C2312yes—
264C22×#41C2311yescharacteristic
265C23×Q8C2311yescharacteristic
266C23×D4C2311yescharacteristic
267C24×C4C2311yescharacteristic
268C24×C4C2311yescharacteristic
269C24×C4C2312yes—
270#563—28no—
271#563—216no—
272#562—216no—
273#562—216no—
274#562—216no—
275H(3,𝔽4)—28no—
276H(3,𝔽4)—216no—
277#560—28no—
278#560—216no—
279#560—216no—
280#560—216no—
281#560—28no—
282#559—216no—
283#556—216no—
284#555—216no—
285#551—216no—
286#548—216no—
287#546—216no—
288#542—232no—
289#542—216no—
290#538—232no—
291#537—48no—
292#536—28no—
293#535—28no—
294#535—44no—
295#532—28no—
296#532—216no—
297C2×C4⋊Q8C2312yes—
298C2×C4⋊Q8C2312yes—
299C2×C4⋊Q8C2311yescharacteristic
300C2×C4⋊Q8C2312yes—
301C2×#127C2312yes—
302C2×#127C2312yes—
303C2×#127C2311yescharacteristic
304C2×#127C2312yes—
305#529—216no—
306#529—216no—
307#529—216no—
308C2×#126C2314yes—
309C2×#126C2312yes—
310C2×#126C2312yes—
311C2×#126C2312yes—
312C2×#126C2312yes—
313C2×#126C2312yes—
314C2×#126C2312yes—
315C2×#126C2314yes—
316C2×#126C2314yes—
317C2×#125C2312yes—
318C2×#125C2312yes—
319C2×#125C2312yes—
320C2×#124C2312yes—
321C2×#124C2314yes—
322C2×#124C2312yes—
323C2×#124C2312yes—
324C2×#124C2312yes—
325C2×#124C2314yes—
326C2×#124C2314yes—
327C2×#124C2312yes—
328C2×#124C2312yes—
329C2×#124C2311yescharacteristic
330C2×#124C2311yescharacteristic
331C2×#124C2314yes—
332C2×#124C2312yes—
333C2×#124C2312yes—
334C2×#124C2314yes—
335C2×#124C2312yes—
336C2×#124C2314yes—
337#525—28no—
338#525—216no—
339#525—216no—
340#525—216no—
341#525D4116yescomplemented
342C2×#123C2312yes—
343C2×#123C2312yes—
344C2×#123C2314yes—
345C2×#123C2311yescharacteristic
346C2×#123C2311yescharacteristic
347C2×#123C2312yes—
348C2×#123C2312yes—
349C2×#123C2312yes—
350C2×#123C2312yes—
351C2×#123C2312yes—
352C2×#123C2312yes—
353C2×#123C2312yes—
354C2×#123C2312yes—
355C2×#123C2314yes—
356C2×#123C2314yes—
357C2×#123C2312yes—
358C2×#123C2312yes—
359C2×#123C2311yescharacteristic
360C2×#123C2311yescharacteristic
361C2×C22⋊Q8—44no—
362C2×C22⋊Q8C2312yes—
363C2×C22⋊Q8C2312yes—
364C2×C22⋊Q8C2312yes—
365C2×C22⋊Q8C2312yes—
366C2×C22⋊Q8C2312yes—
367C2×C22⋊Q8C2312yes—
368C2×C22⋊Q8C2312yes—
369C2×C22⋊Q8C2312yes—
370C2×C22⋊Q8C2312yes—
371C2×C22⋊Q8C2312yes—
372C2×C22⋊Q8C2312yes—
373C2×C22⋊Q8C2312yes—
374C2×C22⋊Q8C2314yes—
375C2×C22⋊Q8C2314yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2314yes—
380C2×C22⋊Q8C2314yes—
381C2×C22⋊Q8C2314yes—
382C2×C22⋊Q8C2314yes—
383C2×C22⋊Q8C2312yes—
384C2×#121C2312yes—
385C2×#121C2312yes—
386C2×#121C2312yes—
387C2×#121C2312yes—
388C2×#121C2312yes—
389C2×#121C2312yes—
390C2×#121C2312yes—
391C2×#121C2312yes—
392C2×#121C2312yes—
393C2×#121C2314yes—
394C2×#121C2312yes—
395C2×#121C2312yes—
396C2×#121C2312yes—
397C2×#121C2312yes—
398C2×#121C2314yes—
399C2×#121C2312yes—
400C2×#121C2312yes—
401C2×#121C2312yes—
402C2×#121C2312yes—
403C2×#121C2312yes—
404C2×#121C2314yes—
405C2×#121C2312yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#121C2312yes—
409C2×#121C2312yes—
410C2×#121C2314yes—
411C2×#121C2314yes—
412C2×#121C2314yes—
413C2×#121C2314yes—
414C2×#121C2314yes—
415C2×#121C2314yes—
416C2×#121C2312yes—
417C2×#120C2312yes—
418C2×#120C2314yes—
419C2×#120C2312yes—
420C2×#120C2311yescharacteristic
421C2×#120C2311yescharacteristic
422C2×#120C2312yes—
423C2×#120C2312yes—
424C2×#120C2312yes—
425C2×#120C2314yes—
426C2×#120C2312yes—
427C2×#120C2314yes—
428C2×#120C2314yes—
429C2×#120C2314yes—
430C2×#120C2311yescharacteristic
431C2×#120C2311yescharacteristic
432#520—44no—
433C2×C4×Q8C2312yes—
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2314yes—
436C2×C4×Q8C2312yes—
437C2×C4×D4C2312yes—
438C2×C4×D4C2314yes—
439C2×C4×D4C2314yes—
440C2×C4×D4C2312yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2312yes—
443C2×C4×D4C2312yes—
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2312yes—
447C2×C4×D4C2314yes—
448C2×C4×D4C2312yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2314yes—
452C2×C4×D4C2314yes—
453C2×C4×D4C2314yes—
454C2×C4×D4C2312yes—
455C2×C4×D4C2312yes—
456C2×#117C2311yescharacteristic
457C2×#117C2312yes—
458C2×#117C2312yes—
459C2×#117C2311yescharacteristic
460C2×#117C2311yescharacteristic
461C2×#117C2312yes—
462C2×#117C2311yescharacteristic
463C2×#117C2314yes—
464C2×#117C2311yescharacteristic
465C2×#117C2311yescharacteristic
466C2×#117C2311yescharacteristic
467C2×#117C2311yescharacteristic
468C22×C4⋊C4—44no—
469C22×C4⋊C4C2311yescharacteristic
470C22×C4⋊C4C2312yes—
471C22×C4⋊C4C2311yescharacteristic
472C22×C4⋊C4C2311yescharacteristic
473C22×C4⋊C4C2312yes—
474C22×C4⋊C4C2311yescharacteristic
475C22×C4⋊C4C2312yes—
476C22×C4⋊C4C2314yes—
477C22×C4⋊C4C2312yes—
478C22×C22⋊C4C2314yes—
479C22×C22⋊C4C2312yes—
480C22×C22⋊C4C2314yes—
481C22×C42C2312yes—
482C22×C42C2311yescharacteristic
483#400C2314yes—
484#400C2314yes—
485#400C2314yes—
486#399C2314yes—
487#399C2314yes—
488#399C2314yes—
489#399C2314yes—
490#398C2314yes—
491#398C2314yes—
492#398C2314yes—
493#398C2314yes—
494#398C2314yes—
495#398C2314yes—
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#396C2314yes—
512#396C2314yes—
513#396C2314yes—
514#396C2314yes—
515#396C2314yes—
516#396C2314yes—
517#396C2314yes—
518#396C2314yes—
519#396C2314yes—
520#396C2314yes—
521#396C2314yes—
522#396C2314yes—
523#396C2314yes—
524#396C2314yes—
525#396C2314yes—
526#396C2314yes—
527#395C2314yes—
528#395C2314yes—
529#395C2314yes—
530#395C2314yes—
531#395C2314yes—
532#395C2314yes—
533#395C2314yes—
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#394C2314yes—
558#394C2314yes—
559#394C2314yes—
560#394C2314yes—
561#394C2314yes—
562#394C2314yes—
563#394C2314yes—
564#393C2314yes—
565#393C2314yes—
566#393C2314yes—
567#393C2314yes—
568#392C2314yes—
569#392C2314yes—
570#392C2314yes—
571#392C2314yes—
572#392C2314yes—
573#392C2314yes—
574#392C2314yes—
575#392C2314yes—
576#392C2314yes—
577#392C2314yes—
578#392C2314yes—
579#391C2314yes—
580#391C2312yes—
581#391C2312yes—
582#391C2314yes—
583#391C2312yes—
584#391C2312yes—
585#391C2314yes—
586#391C2312yes—
587#391C2312yes—
588#391C2314yes—
589#391C2314yes—
590#390C2314yes—
591#390C2312yes—
592#390C2312yes—
593#390C2312yes—
594#390C2314yes—
595#390C2312yes—
596#390C2314yes—
597#390C2312yes—
598#390C2314yes—
599#390C2314yes—
600#390C2312yes—
601#390C2314yes—
602#390C2312yes—
603#390C2314yes—
604#390C2314yes—
605#390C2312yes—
606#389C2312yes—
607#389C2312yes—
608#389C2312yes—
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2314yes—
614#389C2314yes—
615#389C2314yes—
616#389C2314yes—
617#389C2314yes—
618#389C2314yes—
619#389C2314yes—
620#389C2312yes—
621#389C2314yes—
622#389C2314yes—
623#389C2314yes—
624#389C2314yes—
625#389C2314yes—
626#388C2314yes—
627#388C2314yes—
628#388C2314yes—
629#388C2314yes—
630#388C2314yes—
631#388C2314yes—
632#388C2314yes—
633#388C2314yes—
634#388C2314yes—
635#388C2314yes—
636#388C2314yes—
637#388C2314yes—
638#388C2314yes—
639#388C2314yes—
640#388C2314yes—
641#388C2314yes—
642#388C2314yes—
643#388C2314yes—
644#388C2314yes—
645#388C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2314yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2314yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#386C2314yes—
659#386C2312yes—
660#386C2312yes—
661#386C2314yes—
662#386C2314yes—
663#386C2314yes—
664#386C2314yes—
665#386C2314yes—
666#386C2314yes—
667#386C2314yes—
668#386C2314yes—
669#386C2314yes—
670#386C2314yes—
671#386C2314yes—
672#386C2314yes—
673#386C2314yes—
674#386C2314yes—
675#386C2314yes—
676#386C2314yes—
677#386C2314yes—
678#386C2314yes—
679#386C2314yes—
680#386C2314yes—
681#386C2314yes—
682#386C2314yes—
683#386C2314yes—
684#386C2314yes—
685#386C2314yes—
686#386C2314yes—
687#386C2314yes—
688#386C2314yes—
689#385C2312yes—
690#385C2312yes—
691#385C2314yes—
692#385C2314yes—
693#385C2314yes—
694#385C2314yes—
695#385C2314yes—
696#385C2314yes—
697#385C2314yes—
698#385C2314yes—
699#385C2314yes—
700#385C2314yes—
701#385C2314yes—
702#384C2314yes—
703#384C2312yes—
704#382C2312yes—
705#381C2312yes—
706#381C2312yes—
707#381C2312yes—
708#381C2314yes—
709#381C2312yes—
710#380C2312yes—
711#380C2312yes—
712#380C2312yes—
713#380C2312yes—
714#380C2312yes—
715#380C2312yes—
716#380C2312yes—
717#380C2314yes—
718#380C2314yes—
719#380C2314yes—
720#380C2314yes—
721#380C2312yes—
722#380C2312yes—
723#380C2312yes—
724#380C2314yes—
725#380C2314yes—
726#380C2314yes—
727#380C2314yes—
728#380C2314yes—
729#380C2312yes—
730#380C2312yes—
731#380C2312yes—
732#380C2312yes—
733#380C2314yes—
734#380C2314yes—
735#379C2314yes—
736#379C2312yes—
737#379C2312yes—
738C4×C4⋊C4C2314yes—
739C4×C4⋊C4C2312yes—
740C4×C4⋊C4C2312yes—
741C4×C4⋊C4C2314yes—
742C4×C4⋊C4C2312yes—
743C4×C4⋊C4C2312yes—
744C4×C22⋊C4C2314yes—
745C4×C22⋊C4C2312yes—
746C4×C22⋊C4C2312yes—
747C4×C22⋊C4C2314yes—
748C4×C22⋊C4C2314yes—
749C4×C22⋊C4C2314yes—
750C4×C22⋊C4C2314yes—
751C4×C22⋊C4C2314yes—
752C25C2412yes—
753C25C2411yescharacteristic
754C25C2411yescharacteristic
755C2×#41—28no—
756C2×#41—28no—
757C2×#41—24no—
758C2×#41—42no—
759C2×#41—42no—
760C2×#41—42no—
761C2×#41—44no—
762C2×#41—44no—
763C2×#41—42no—
764C2×#41—44no—
765C2×#41—44no—
766C2×#41C2×D418yes—
767C22×Q8—24no—
768C22×Q8—42no—
769C22×Q8—42no—
770C22×Q8C2412yes—
771C22×Q8C2412yes—
772C22×Q8C2414yes—
773C22×Q8C2412yes—
774C22×Q8C2412yes—
775C22×Q8C2411yescharacteristic
776C22×Q8C2411yescharacteristic
777C22×D4—24no—
778C22×D4—42no—
779C22×D4—42no—
780C22×D4C2412yes—
781C22×D4C2412yes—
782C22×D4C2414yes—
783C22×D4C2412yes—
784C22×D4C2412yes—
785C22×D4C2414yes—
786C22×D4C2414yes—
787C22×D4C2414yes—
788C22×D4C2412yes—
789C22×D4C2412yes—
790C22×D4C2412yes—
791C22×D4C2412yes—
792C22×D4C2414yes—
793C22×D4C2412yes—
794C22×D4C2412yes—
795C22×D4C2412yes—
796C22×D4C2412yes—
797C22×D4C2411yescharacteristic
798C22×D4C2412yes—
799C22×D4C2414yes—
800C22×D4C2414yes—
801C22×D4C2414yes—
802C22×D4C2412yes—
803C22×D4C2412yes—
804C22×D4C2411yescharacteristic
805C22×D4C2411yescharacteristic
806C22×D4C2411yescharacteristic
807C23×C4—24no—
808C23×C4—42no—
809C23×C4—42no—
810C23×C4—44no—
811C23×C4—42no—
812C23×C4—42no—
813C23×C4—84no—
814C23×C4C2×D418yes—
815C23×C4C2412yes—
816C23×C4C2412yes—
817C23×C4C2411yescharacteristic
818C23×C4C2412yes—
819C23×C4C2411yescharacteristic
820C23×C4C2411yescharacteristic
821C23×C4C2412yes—
822C23×C4C2412yes—
823C23×C4C2412yes—
824C23×C4C2414yes—
825C23×C4C2414yes—
826C23×C4C2412yes—
827C23×C4C2414yes—
828C23×C4C2411yescharacteristic
829C23×C4C2412yes—
830C23×C4C2412yes—
831C23×C4C2412yes—
832C23×C4C2412yes—
833C23×C4C2414yes—
834C23×C4C2412yes—
835C23×C4C2411yescharacteristic
836C23×C4C2412yes—
837C4⋊Q8—24no—
838C4⋊Q8—28no—
839C4⋊Q8—28no—
840C4⋊Q8—28no—
841#127—24no—
842#127—28no—
843#127—28no—
844#127—44no—
845#126—28no—
846#126—28no—
847#126—216no—
848#126—28no—
849#126—28no—
850#126—28no—
851#126—28no—
852#126—216no—
853#126—216no—
854#125—28no—
855#125—28no—
856#125—28no—
857#124—24no—
858#124—28no—
859#124—28no—
860#124—24no—
861#124—28no—
862#124—216no—
863#124—28no—
864#124—28no—
865#124—28no—
866#124—28no—
867#124—216no—
868#124—216no—
869#124—216no—
870#124—216no—
871#124—28no—
872#124—44no—
873#124—84no—
874#123—24no—
875#123—24no—
876#123—28no—
877#123—28no—
878#123—28no—
879#123—216no—
880#123—28no—
881#123—28no—
882#123—28no—
883#123—28no—
884#123—216no—
885#123—28no—
886#123—28no—
887#123—28no—
888#123—28no—
889#123—28no—
890#123—216no—
891#123C2×D418yes—
892#123C2×D418yes—
893C22⋊Q8—28no—
894C22⋊Q8—28no—
895C22⋊Q8—28no—
896C22⋊Q8—28no—
897C22⋊Q8—28no—
898C22⋊Q8—28no—
899C22⋊Q8—28no—
900C22⋊Q8—28no—
901C22⋊Q8—28no—
902C22⋊Q8—216no—
903C22⋊Q8—216no—
904C22⋊Q8—28no—
905C22⋊Q8—28no—
906C22⋊Q8—28no—
907C22⋊Q8—48no—
908C22⋊Q8—48no—
909C22⋊Q8—44no—
910C22⋊Q8—44no—
911C22⋊Q8—44no—
912C22⋊Q8—84no—
913C22⋊Q8—84no—
914C22⋊Q8C2×D4116yes—
915#121—28no—
916#121—28no—
917#121—28no—
918#121—28no—
919#121—28no—
920#121—28no—
921#121—28no—
922#121—216no—
923#121—216no—
924#121—28no—
925#121—28no—
926#121—28no—
927#121—28no—
928#121—28no—
929#121—28no—
930#121—28no—
931#121—28no—
932#121—28no—
933#121—28no—
934#121—28no—
935#121—216no—
936#121—48no—
937#121—48no—
938#121—44no—
939#121—44no—
940#121—44no—
941#121—48no—
942#121—84no—
943#121—84no—
944#121—84no—
945#121—84no—
946#121—84no—
947#121C2×D4116yes—
948#120—28no—
949#120—216no—
950#120—28no—
951#120—24no—
952#120—24no—
953#120—28no—
954#120—28no—
955#120—28no—
956#120—216no—
957#120—28no—
958#120—48no—
959#120—84no—
960#120—84no—
961#120C2×D418yes—
962#120C2×D418yes—
963C4×Q8—216no—
964C4×Q8—28no—
965C4×Q8—28no—
966C4×Q8—44no—
967C4×D4—28no—
968C4×D4—28no—
969C4×D4—28no—
970C4×D4—28no—
971C4×D4—28no—
972C4×D4—28no—
973C4×D4—216no—
974C4×D4—216no—
975C4×D4—216no—
976C4×D4—28no—
977C4×D4—28no—
978C4×D4—44no—
979C4×D4—44no—
980C4×D4—44no—
981C4×D4—84no—
982C4×D4—84no—
983C4×D4—84no—
984C4×D4C2×D4116yes—
985C4×D4C2×D4116yes—
986#117—24no—
987#117—28no—
988#117—28no—
989#117—24no—
990#117—24no—
991#117—216no—
992#117—24no—
993#117—28no—
994#117—42no—
995#117—42no—
996#117—42no—
997#117C2×D418yes—
998C2×C4⋊C4—24no—
999C2×C4⋊C4—28no—
1000C2×C4⋊C4—24no—
1001C2×C4⋊C4—44no—
1002C2×C4⋊C4—48no—
1003C2×C4⋊C4—42no—
1004C2×C4⋊C4—44no—
1005C2×C4⋊C4—42no—
1006C2×C4⋊C4—44no—
1007C2×C4⋊C4C2411yescharacteristic
1008C2×C4⋊C4C2412yes—
1009C2×C4⋊C4C2412yes—
1010C2×C4⋊C4C2414yes—
1011C2×C4⋊C4C2411yescharacteristic
1012C2×C4⋊C4C2412yes—
1013C2×C4⋊C4C2414yes—
1014C2×C4⋊C4C2411yescharacteristic
1015C2×C4⋊C4C2412yes—
1016C2×C4⋊C4C2412yes—
1017C2×C4⋊C4C2412yes—
1018C2×C4⋊C4C2412yes—
1019C2×C4⋊C4C2412yes—
1020C2×C4⋊C4C2412yes—
1021C2×C4⋊C4C2412yes—
1022C2×C4⋊C4C2412yes—
1023C2×C4⋊C4C2414yes—
1024C2×C4⋊C4C2414yes—
1025C2×C4⋊C4C2412yes—
1026C2×C4⋊C4C2412yes—
1027C2×C4⋊C4C2412yes—
1028C2×C4⋊C4C2412yes—
1029C2×C4⋊C4C2412yes—
1030C2×C4⋊C4C2412yes—
1031C2×C4⋊C4C2412yes—
1032C2×C4⋊C4C2414yes—
1033C2×C4⋊C4C2414yes—
1034C2×C4⋊C4C2414yes—
1035C2×C4⋊C4C2412yes—
1036C2×C4⋊C4C2412yes—
1037C2×C4⋊C4C2412yes—
1038C2×C4⋊C4C2414yes—
1039C2×C4⋊C4C2412yes—
1040C2×C4⋊C4C2412yes—
1041C2×C4⋊C4C2414yes—
1042C2×C4⋊C4C2414yes—
1043C2×C4⋊C4C2414yes—
1044C2×C4⋊C4C2414yes—
1045C2×C4⋊C4C2414yes—
1046C2×C4⋊C4C2414yes—
1047C2×C4⋊C4C2414yes—
1048C2×C4⋊C4C2414yes—
1049C2×C4⋊C4C2414yes—
1050C2×C4⋊C4C2414yes—
1051C2×C4⋊C4C2414yes—
1052C2×C4⋊C4C2414yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2412yes—
1055C2×C4⋊C4C2412yes—
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C22⋊C4—216no—
1059C2×C22⋊C4—44no—
1060C2×C22⋊C4—84no—
1061C2×C22⋊C4C2414yes—
1062C2×C22⋊C4C2414yes—
1063C2×C22⋊C4C2414yes—
1064C2×C22⋊C4C2414yes—
1065C2×C22⋊C4C2412yes—
1066C2×C22⋊C4C2412yes—
1067C2×C22⋊C4C2411yescharacteristic
1068C2×C22⋊C4C2412yes—
1069C2×C22⋊C4C2412yes—
1070C2×C22⋊C4C2414yes—
1071C2×C22⋊C4C2414yes—
1072C2×C22⋊C4C2411yescharacteristic
1073C2×C22⋊C4C2412yes—
1074C2×C22⋊C4C2412yes—
1075C2×C22⋊C4C2412yes—
1076C2×C22⋊C4C2412yes—
1077C2×C22⋊C4C2412yes—
1078C2×C22⋊C4C2412yes—
1079C2×C22⋊C4C2412yes—
1080C2×C22⋊C4C2414yes—
1081C2×C22⋊C4C2414yes—
1082C2×C22⋊C4C2412yes—
1083C2×C22⋊C4C2412yes—
1084C2×C22⋊C4C2412yes—
1085C2×C22⋊C4C2412yes—
1086C2×C22⋊C4C2412yes—
1087C2×C22⋊C4C2414yes—
1088C2×C22⋊C4C2414yes—
1089C2×C22⋊C4C2414yes—
1090C2×C22⋊C4C2412yes—
1091C2×C22⋊C4C2412yes—
1092C2×C22⋊C4C2412yes—
1093C2×C22⋊C4C2412yes—
1094C2×C22⋊C4C2412yes—
1095C2×C22⋊C4C2414yes—
1096C2×C22⋊C4C2414yes—
1097C2×C22⋊C4C2414yes—
1098C2×C22⋊C4C2414yes—
1099C2×C22⋊C4C2414yes—
1100C2×C22⋊C4C2414yes—
1101C2×C22⋊C4C2412yes—
1102C2×C22⋊C4C2412yes—
1103C2×C22⋊C4C2412yes—
1104C2×C22⋊C4C2414yes—
1105C2×C22⋊C4C2414yes—
1106C2×C22⋊C4C2414yes—
1107C2×C22⋊C4C2414yes—
1108C2×C22⋊C4C2414yes—
1109C2×C22⋊C4C2414yes—
1110C2×C22⋊C4C2414yes—
1111C2×C22⋊C4C2414yes—
1112C2×C22⋊C4C2414yes—
1113C2×C22⋊C4C2414yes—
1114C2×C22⋊C4C2414yes—
1115C2×C22⋊C4C2414yes—
1116C2×C22⋊C4C2414yes—
1117C2×C22⋊C4C2414yes—
1118C2×C22⋊C4C2414yes—
1119C2×C22⋊C4C2414yes—
1120C2×C22⋊C4C2414yes—
1121C2×C22⋊C4C2414yes—
1122C2×C22⋊C4C2414yes—
1123C2×C22⋊C4C2414yes—
1124C2×C22⋊C4C2414yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2411yescharacteristic
1127C2×C22⋊C4C2411yescharacteristic
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2412yes—
1131C2×C42—24no—
1132C2×C42—28no—
1133C2×C42C2412yes—
1134C2×C42C2412yes—
1135C2×C42C2412yes—
1136C2×C42C2414yes—
1137C2×C42C2412yes—
1138C2×C42C2412yes—
1139C2×C42C2414yes—
1140C2×C42C2412yes—
1141C2×C42C2411yescharacteristic
1142C2×C42C2411yescharacteristic
1143C2×C42C2412yes—
1144C2×C42C2412yes—
1145C2×C42C2412yes—
1146C2×C42C2412yes—
1147C2×C42C2414yes—
1148C2×C42C2414yes—
1149C2×C42C2412yes—
1150#95C2414yes—
1151#95C2414yes—
1152#95C2414yes—
1153#95C2414yes—
1154#95C2414yes—
1155#95C2414yes—
1156#95C2414yes—
1157#95C2414yes—
1158#95C2414yes—
1159#95C2414yes—
1160#95C2414yes—
1161#95C2414yes—
1162#95C2414yes—
1163#95C2414yes—
1164#95C2414yes—
1165#95C2414yes—
1166#95C2414yes—
1167#95C2414yes—
1168#95C2414yes—
1169#95C2414yes—
1170#95C2414yes—
1171#95C2414yes—
1172#95C2414yes—
1173#95C2414yes—
1174#95C2414yes—
1175#95C2414yes—
1176#95C2414yes—
1177#95C2414yes—
1178#95C2414yes—
1179#95C2414yes—
1180#95C2414yes—
1181#95C2414yes—
1182C24—24no—
1183C24—22no—
1184C24—41no—
1185C24—41no—
1186C24—42no—
1187C24—42no—
1188C24—41no—
1189C24—42no—
1190C24—42no—
1191C24—41no—
1192C24—42no—
1193C24—44no—
1194C24—44no—
1195C24—42no—
1196C24C22×D414yes—
1197C24C2512yes—
1198C24C2514yes—
1199C24C2512yes—
1200C24C2511yescharacteristic
1201C24C2511yescharacteristic
1202C24C2511yescharacteristic
1203C24C2512yes—
1204#41—416no—
1205#41—816no—
1206#41—88no—
1207#41—816no—
1208C2×Q8—24no—
1209C2×Q8—24no—
1210C2×Q8—28no—
1211C2×Q8—24no—
1212C2×Q8—24no—
1213C2×Q8—22no—
1214C2×Q8—24no—
1215C2×Q8—24no—
1216C2×Q8—41no—
1217C2×Q8—41no—
1218C2×Q8—42no—
1219C2×Q8—42no—
1220C2×Q8—42no—
1221C2×Q8—44no—
1222C2×Q8—41no—
1223C2×Q8—42no—
1224C2×Q8—42no—
1225C2×Q8—44no—
1226C2×Q8—42no—
1227C2×Q8—41no—
1228C2×Q8—88no—
1229C2×Q8C22×D414yes—
1230C2×D4—24no—
1231C2×D4—24no—
1232C2×D4—28no—
1233C2×D4—28no—
1234C2×D4—24no—
1235C2×D4—24no—
1236C2×D4—24no—
1237C2×D4—24no—
1238C2×D4—28no—
1239C2×D4—28no—
1240C2×D4—24no—
1241C2×D4—24no—
1242C2×D4—24no—
1243C2×D4—24no—
1244C2×D4—24no—
1245C2×D4—24no—
1246C2×D4—22no—
1247C2×D4—24no—
1248C2×D4—24no—
1249C2×D4—28no—
1250C2×D4—24no—
1251C2×D4—41no—
1252C2×D4—41no—
1253C2×D4—41no—
1254C2×D4—42no—
1255C2×D4—42no—
1256C2×D4—42no—
1257C2×D4—42no—
1258C2×D4—41no—
1259C2×D4—41no—
1260C2×D4—41no—
1261C2×D4—44no—
1262C2×D4—42no—
1263C2×D4—42no—
1264C2×D4—44no—
1265C2×D4—42no—
1266C2×D4—42no—
1267C2×D4—44no—
1268C2×D4—42no—
1269C2×D4—44no—
1270C2×D4—42no—
1271C2×D4—42no—
1272C2×D4—42no—
1273C2×D4—42no—
1274C2×D4—44no—
1275C2×D4—44no—
1276C2×D4—42no—
1277C2×D4—42no—
1278C2×D4—42no—
1279C2×D4—41no—
1280C2×D4—42no—
1281C2×D4—42no—
1282C2×D4—42no—
1283C2×D4—44no—
1284C2×D4—42no—
1285C2×D4—42no—
1286C2×D4—42no—
1287C2×D4—42no—
1288C2×D4—42no—
1289C2×D4—44no—
1290C2×D4—44no—
1291C2×D4—42no—
1292C2×D4—41no—
1293C2×D4—42no—
1294C2×D4—44no—
1295C2×D4—42no—
1296C2×D4—42no—
1297C2×D4—44no—
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—88no—
1307C2×D4C22×D418yes—
1308C2×D4C22×D418yes—
1309C2×D4C22×D414yes—
1310C2×D4C22×D414yes—
1311C2×D4C22×D414yes—
1312C22×C4—22no—
1313C22×C4—24no—
1314C22×C4—22no—
1315C22×C4—22no—
1316C22×C4—22no—
1317C22×C4—22no—
1318C22×C4—24no—
1319C22×C4—22no—
1320C22×C4—24no—
1321C22×C4—24no—
1322C22×C4—22no—
1323C22×C4—24no—
1324C22×C4—24no—
1325C22×C4—24no—
1326C22×C4—24no—
1327C22×C4—24no—
1328C22×C4—24no—
1329C22×C4—24no—
1330C22×C4—24no—
1331C22×C4—28no—
1332C22×C4—28no—
1333C22×C4—24no—
1334C22×C4—24no—
1335C22×C4—24no—
1336C22×C4—28no—
1337C22×C4—416no—
1338C22×C4—42no—
1339C22×C4—41no—
1340C22×C4—42no—
1341C22×C4—41no—
1342C22×C4—42no—
1343C22×C4—42no—
1344C22×C4—44no—
1345C22×C4—42no—
1346C22×C4—41no—
1347C22×C4—42no—
1348C22×C4—44no—
1349C22×C4—44no—
1350C22×C4—44no—
1351C22×C4—44no—
1352C22×C4—44no—
1353C22×C4—44no—
1354C22×C4—44no—
1355C22×C4—44no—
1356C22×C4—44no—
1357C22×C4—42no—
1358C22×C4—42no—
1359C22×C4—42no—
1360C22×C4—41no—
1361C22×C4—44no—
1362C22×C4—42no—
1363C22×C4—42no—
1364C22×C4—42no—
1365C22×C4—42no—
1366C22×C4—44no—
1367C22×C4—44no—
1368C22×C4—42no—
1369C22×C4—88no—
1370C22×C4—816no—
1371C22×C4C22×D414yes—
1372C22×C4C22×D414yes—
1373C22×C4C22×D418yes—
1374C22×C4C22×D414yes—
1375C22×C4C22×D414yes—
1376C22×C4C22×D418yes—
1377C22×C4C2512yes—
1378C22×C4C2514yes—
1379C22×C4C2512yes—
1380C22×C4C2514yes—
1381C22×C4C2514yes—
1382C22×C4C2512yes—
1383C22×C4C2514yes—
1384C22×C4C2512yes—
1385C22×C4C2512yes—
1386C22×C4C2512yes—
1387C22×C4C2512yes—
1388C22×C4C2514yes—
1389C22×C4C2512yes—
1390C22×C4C2512yes—
1391C22×C4C2512yes—
1392C22×C4C2511yescharacteristic
1393C22×C4C2512yes—
1394C22×C4C2511yescharacteristic
1395C22×C4C2512yes—
1396C22×C4C2511yescharacteristic
1397C22×C4C2512yes—
1398C22×C4C2511yescharacteristic
1399C4⋊C4—24no—
1400C4⋊C4—24no—
1401C4⋊C4—24no—
1402C4⋊C4—24no—
1403C4⋊C4—24no—
1404C4⋊C4—24no—
1405C4⋊C4—24no—
1406C4⋊C4—28no—
1407C4⋊C4—28no—
1408C4⋊C4—24no—
1409C4⋊C4—24no—
1410C4⋊C4—24no—
1411C4⋊C4—24no—
1412C4⋊C4—24no—
1413C4⋊C4—24no—
1414C4⋊C4—24no—
1415C4⋊C4—28no—
1416C4⋊C4—28no—
1417C4⋊C4—28no—
1418C4⋊C4—24no—
1419C4⋊C4—24no—
1420C4⋊C4—24no—
1421C4⋊C4—22no—
1422C4⋊C4—24no—
1423C4⋊C4—28no—
1424C4⋊C4—24no—
1425C4⋊C4—22no—
1426C4⋊C4—24no—
1427C4⋊C4—28no—
1428C4⋊C4—22no—
1429C4⋊C4—24no—
1430C4⋊C4—42no—
1431C4⋊C4—44no—
1432C4⋊C4—42no—
1433C4⋊C4—44no—
1434C4⋊C4—44no—
1435C4⋊C4—44no—
1436C4⋊C4—44no—
1437C4⋊C4—44no—
1438C4⋊C4—44no—
1439C4⋊C4—44no—
1440C4⋊C4—44no—
1441C4⋊C4—44no—
1442C4⋊C4—44no—
1443C4⋊C4—44no—
1444C4⋊C4—44no—
1445C4⋊C4—44no—
1446C4⋊C4C22×D418yes—
1447C4⋊C4C22×D418yes—
1448C4⋊C4C22×D418yes—
1449C4⋊C4H(5,𝔽2)14yes—
1450C22⋊C4—28no—
1451C22⋊C4—24no—
1452C22⋊C4—24no—
1453C22⋊C4—22no—
1454C22⋊C4—28no—
1455C22⋊C4—24no—
1456C22⋊C4—22no—
1457C22⋊C4—24no—
1458C22⋊C4—24no—
1459C22⋊C4—24no—
1460C22⋊C4—28no—
1461C22⋊C4—24no—
1462C22⋊C4—24no—
1463C22⋊C4—24no—
1464C22⋊C4—28no—
1465C22⋊C4—24no—
1466C22⋊C4—28no—
1467C22⋊C4—28no—
1468C22⋊C4—24no—
1469C22⋊C4—28no—
1470C22⋊C4—24no—
1471C22⋊C4—24no—
1472C22⋊C4—24no—
1473C22⋊C4—28no—
1474C22⋊C4—24no—
1475C22⋊C4—24no—
1476C22⋊C4—28no—
1477C22⋊C4—28no—
1478C22⋊C4—24no—
1479C22⋊C4—24no—
1480C22⋊C4—24no—
1481C22⋊C4—24no—
1482C22⋊C4—28no—
1483C22⋊C4—24no—
1484C22⋊C4—28no—
1485C22⋊C4—44no—
1486C22⋊C4—44no—
1487C22⋊C4—44no—
1488C22⋊C4—44no—
1489C22⋊C4—44no—
1490C22⋊C4—44no—
1491C22⋊C4—44no—
1492C22⋊C4—44no—
1493C22⋊C4—42no—
1494C22⋊C4—42no—
1495C22⋊C4—42no—
1496C22⋊C4—44no—
1497C22⋊C4—44no—
1498C22⋊C4—44no—
1499C22⋊C4—44no—
1500C22⋊C4—44no—
1501C22⋊C4—44no—
1502C22⋊C4—44no—
1503C22⋊C4—44no—
1504C22⋊C4—44no—
1505C22⋊C4—44no—
1506C22⋊C4—44no—
1507C22⋊C4—44no—
1508C22⋊C4—44no—
1509C22⋊C4—44no—
1510C22⋊C4—44no—
1511C22⋊C4—44no—
1512C22⋊C4—44no—
1513C22⋊C4—44no—
1514C22⋊C4C22×D418yes—
1515C22⋊C4C22×D414yes—
1516C22⋊C4C22×D414yes—
1517C22⋊C4C22×D418yes—
1518C22⋊C4C22×D418yes—
1519C22⋊C4C22×D418yes—
1520C42—24no—
1521C42—24no—
1522C42—22no—
1523C42—24no—
1524C42—22no—
1525C42—24no—
1526C42—24no—
1527C42—28no—
1528C42—24no—
1529C42—28no—
1530C42—24no—
1531C42—42no—
1532C42—42no—
1533C42—42no—
1534C42—44no—
1535C42—44no—
1536C42C22×D418yes—
1537C23—21no—
1538C23—21no—
1539C23—21no—
1540C23—22no—
1541C23—21no—
1542C23—21no—
1543C23—22no—
1544C23—21no—
1545C23—22no—
1546C23—22no—
1547C23—22no—
1548C23—22no—
1549C23—22no—
1550C23—22no—
1551C23—22no—
1552C23—22no—
1553C23—22no—
1554C23—22no—
1555C23—22no—
1556C23—24no—
1557C23—22no—
1558C23—22no—
1559C23—24no—
1560C23—22no—
1561C23—22no—
1562C23—24no—
1563C23—22no—
1564C23—22no—
1565C23—22no—
1566C23—24no—
1567C23—22no—
1568C23—24no—
1569C23—22no—
1570C23—22no—
1571C23—24no—
1572C23—22no—
1573C23—22no—
1574C23—24no—
1575C23—22no—
1576C23—44no—
1577C23—48no—
1578C23—44no—
1579C23—48no—
1580C23—44no—
1581C23—44no—
1582C23—82no—
1583C23—84no—
1584C23—84no—
1585C23—88no—
1586C23—82no—
1587C23—84no—
1588C23—88no—
1589C23—162no—
1590C23—162no—
1591C23C23×D412yes—
1592C23C23×D412yes—
1593C23C23×D414yes—
1594C23C23×D412yes—
1595C23C2611yescharacteristic
1596Q8—44no—
1597Q8—48no—
1598Q8—84no—
1599Q8—88no—
1600Q8—84no—
1601Q8—84no—
1602Q8—82no—
1603D4—48no—
1604D4—48no—
1605D4—44no—
1606D4—44no—
1607D4—44no—
1608D4—48no—
1609D4—88no—
1610D4—84no—
1611D4—84no—
1612D4—84no—
1613D4—82no—
1614D4—84no—
1615D4—84no—
1616D4—84no—
1617D4—84no—
1618D4—84no—
1619D4—88no—
1620D4—84no—
1621D4—88no—
1622D4—88no—
1623D4—84no—
1624D4—84no—
1625D4—84no—
1626D4—88no—
1627D4—164no—
1628D4—164no—
1629D4—164no—
1630C2×C4—21no—
1631C2×C4—21no—
1632C2×C4—21no—
1633C2×C4—22no—
1634C2×C4—21no—
1635C2×C4—22no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—22no—
1639C2×C4—22no—
1640C2×C4—24no—
1641C2×C4—22no—
1642C2×C4—22no—
1643C2×C4—28no—
1644C2×C4—216no—
1645C2×C4—28no—
1646C2×C4—28no—
1647C2×C4—24no—
1648C2×C4—22no—
1649C2×C4—22no—
1650C2×C4—24no—
1651C2×C4—22no—
1652C2×C4—22no—
1653C2×C4—22no—
1654C2×C4—24no—
1655C2×C4—22no—
1656C2×C4—22no—
1657C2×C4—22no—
1658C2×C4—22no—
1659C2×C4—22no—
1660C2×C4—24no—
1661C2×C4—24no—
1662C2×C4—22no—
1663C2×C4—24no—
1664C2×C4—22no—
1665C2×C4—24no—
1666C2×C4—22no—
1667C2×C4—24no—
1668C2×C4—24no—
1669C2×C4—24no—
1670C2×C4—22no—
1671C2×C4—22no—
1672C2×C4—22no—
1673C2×C4—24no—
1674C2×C4—24no—
1675C2×C4—24no—
1676C2×C4—24no—
1677C2×C4—22no—
1678C2×C4—24no—
1679C2×C4—24no—
1680C2×C4—22no—
1681C2×C4—24no—
1682C2×C4—22no—
1683C2×C4—22no—
1684C2×C4—22no—
1685C2×C4—24no—
1686C2×C4—44no—
1687C2×C4—48no—
1688C2×C4—48no—
1689C2×C4—48no—
1690C2×C4—84no—
1691C2×C4—84no—
1692C2×C4—88no—
1693C2×C4—84no—
1694C2×C4—84no—
1695C2×C4—84no—
1696C2×C4—88no—
1697C2×C4—88no—
1698C2×C4—84no—
1699C2×C4—82no—
1700C2×C4—84no—
1701C2×C4—88no—
1702C2×C4—84no—
1703C2×C4—162no—
1704C2×C4C23×D412yes—
1705C2×C4C23×D414yes—
1706C2×C4C23×D412yes—
1707C2×C4C23×D414yes—
1708C2×C4C23×D414yes—
1709C2×C4C23×D412yes—
1710C2×C4C23×D412yes—
1711C2×C4C2×H(5,𝔽2)14yes—
1712C2×C4C2×H(5,𝔽2)12yes—
1713C2×C4#58512yes—
1714C22—22no—
1715C22—24no—
1716C22—22no—
1717C22—22no—
1718C22—24no—
1719C22—24no—
1720C22—24no—
1721C22—24no—
1722C22—24no—
1723C22—416no—
1724C22—41no—
1725C22—42no—
1726C22—41no—
1727C22—41no—
1728C22—42no—
1729C22—42no—
1730C22—42no—
1731C22—42no—
1732C22—42no—
1733C22—41no—
1734C22—42no—
1735C22—41no—
1736C22—41no—
1737C22—42no—
1738C22—42no—
1739C22—44no—
1740C22—42no—
1741C22—44no—
1742C22—42no—
1743C22—42no—
1744C22—44no—
1745C22—42no—
1746C22—42no—
1747C22—42no—
1748C22—44no—
1749C22—42no—
1750C22—44no—
1751C22—42no—
1752C22—42no—
1753C22—42no—
1754C22—44no—
1755C22—42no—
1756C22—42no—
1757C22—44no—
1758C22—88no—
1759C22—168no—
1760C22C24×D411yescharacteristic
1761C22C22×H(5,𝔽2)11yescharacteristic
1762C22C2×#58511yescharacteristic
1763C22H(7,𝔽2)12yes—
1764C222−1+612yes—
1765C4—24no—
1766C4—22no—
1767C4—22no—
1768C4—22no—
1769C4—24no—
1770C4—24no—
1771C4—24no—
1772C4—42no—
1773C4—42no—
1774C4—44no—
1775C4—42no—
1776C4—44no—
1777C4—42no—
1778C4—44no—
1779C4—42no—
1780C4—42no—
1781C4—42no—
1782C4—42no—
1783C4—44no—
1784C4—42no—
1785C4—44no—
1786C4#349614yes—
1787C2—42no—
1788C2—44no—
1789C2—42no—
1790C2—42no—
1791C2—82no—
1792C2—82no—
1793C2—84no—
1794C2C2×#349611yescharacteristic
1795C2#6285312yes—
1796C2#6304111yescharacteristic
1797C2#6304312yes—
1798C2#6304811yescharacteristic
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. C2×#3540C2semidirect
2. C2×#3529C2semidirect
3. #51201C2semidirect
4. #50886C2semidirect
5. #50684C2semidirect
6. #49580C2semidirect
7. #49579C2semidirect
8. #47866C2semidirect
9. #47865C2semidirect
10. #45478C2semidirect
11. #45477C2semidirect
12. #45477C2semidirect
13. #39468C2semidirect
14. #39334C2semidirect
15. #38922C2semidirect
16. #38903C2semidirect
17. #38051C2semidirect
18. #38024C2semidirect
19. #37845C2semidirect
20. #37649C2semidirect
21. #37445C2semidirect
22. #37376C2semidirect
23. #37277C2semidirect
24. #37269C2semidirect
25. #35633C2semidirect
26. #35569C2semidirect
27. #35533C2semidirect
28. #35223C2semidirect
29. #34200C2semidirect
32. C2×#563C22semidirect
33. C2×#563C22semidirect
36. C2×#562C22semidirect
37. C2×H(3,𝔽4)C22semidirect
38. C2×H(3,𝔽4)C22semidirect
42. C2×#560C22semidirect
43. C2×#560C22semidirect
45. C2×#556C22semidirect
47. C2×#551C22semidirect
49. C2×#546C22semidirect
50. C2×#542C22semidirect
51. C2×#542C22semidirect
56. C2×#535C22semidirect
60. C2×#529C22semidirect
61. C2×#529C22semidirect
64. C2×#525C22semidirect
65. C2×#525C22semidirect
66. C2×#525C22semidirect
67. C22×C22⋊Q8C22semidirect
69. C23×C4⋊C4C22semidirect
70. #2857C22semidirect
71. #2855C22semidirect
72. #2850C22semidirect
73. #2847C22semidirect
74. #2847C22semidirect
75. #2847C22semidirect
76. #2812C22semidirect
77. #2812C22semidirect
78. #2734C22semidirect
79. #2731C22semidirect
80. #2730C22semidirect
81. #2725C22semidirect
82. #2718C22semidirect
83. #2717C22semidirect
84. #2717C22semidirect
85. #2715C22semidirect
86. #2715C22semidirect
87. #2715C22semidirect
88. #2715C22semidirect
89. #2715C22semidirect
91. #2709C22semidirect
92. #2707C22semidirect
93. #2705C22semidirect
94. #2705C22semidirect
95. #2702C22semidirect
96. #2701C22semidirect
97. #2700C22semidirect
98. #2697C22semidirect
99. #2693C22semidirect
100. #2692C22semidirect
101. #2691C22semidirect
102. #2691C22semidirect
103. #2691C22semidirect
104. #2690C22semidirect
105. #2689C22semidirect
106. #2688C22semidirect
107. #2688C22semidirect
109. #2686C22semidirect
110. #2686C22semidirect
111. #2683C22semidirect
112. #2683C22semidirect
113. #2681C22semidirect
114. #2679C22semidirect
116. #2676C22semidirect
117. #2676C22semidirect
118. #2674C22semidirect
119. #2673C22semidirect
120. #2672C22semidirect
121. #2672C22semidirect
122. #2672C22semidirect
123. #2672C22semidirect
124. #2670C22semidirect
128. #2668C22semidirect
129. #2668C22semidirect
130. #2663C22semidirect
131. #2661C22semidirect
132. #2638C22semidirect
133. #2635C22semidirect
134. #2628C22semidirect
135. #2625C22semidirect
136. #2624C22semidirect
137. #2624C22semidirect
138. #2620C22semidirect
139. #2618C22semidirect
140. #2618C22semidirect
141. #2616C22semidirect
142. #2616C22semidirect
144. #2602C22semidirect
145. #2602C22semidirect
146. #2592C22semidirect
147. #2581C22semidirect
148. #2567C22semidirect
149. #2560C22semidirect
150. #2557C22semidirect
151. #2557C22semidirect
152. #2557C22semidirect
153. #2556C22semidirect
155. #2555C22semidirect
156. #2555C22semidirect
157. #2548C22semidirect
158. #2547C22semidirect
159. #2545C22semidirect
163. #2540C22semidirect
164. #2538C22semidirect
165. #2538C22semidirect
166. #2537C22semidirect
167. #2535C22semidirect
168. #2534C22semidirect
169. #2534C22semidirect
170. #2534C22semidirect
171. #2521C22semidirect
172. #2521C22semidirect
173. #2521C22semidirect
174. #2512C22semidirect
175. #2496C22semidirect
176. #2486C22semidirect
177. #2486C22semidirect
178. #2485C22semidirect
179. #2485C22semidirect
180. #2485C22semidirect
181. #2485C22semidirect
182. #2477C22semidirect
183. #2472C22semidirect
184. #2471C22semidirect
185. #2469C22semidirect
186. #2468C22semidirect
187. #2462C22semidirect
188. #2461C22semidirect
189. #2457C22semidirect
190. #2451C22semidirect
191. #2449C22semidirect
192. #2441C22semidirect
193. #2437C22semidirect
194. #2429C22semidirect
195. #2428C22semidirect
197. #2427C22semidirect
198. #2427C22semidirect
199. #2426C22semidirect
201. #2424C22semidirect
202. #2424C22semidirect
203. #2424C22semidirect
204. #2424C22semidirect
205. #2424C22semidirect
206. #2422C22semidirect
207. #2417C22semidirect
208. #2417C22semidirect
209. #2417C22semidirect
210. #2417C22semidirect
211. #2417C22semidirect
212. #2417C22semidirect
213. #2417C22semidirect
216. #2416C22semidirect
217. #2416C22semidirect
218. #2416C22semidirect
219. #2416C22semidirect
220. #2416C22semidirect
221. #2416C22semidirect
222. #2415C22semidirect
223. #2415C22semidirect
224. #2415C22semidirect
225. #2415C22semidirect
227. #2414C22semidirect
228. #2414C22semidirect
229. #2412C22semidirect
230. #2409C22semidirect
231. #2408C22semidirect
233. #2407C22semidirect
235. #2360C22semidirect
236. #2352C22semidirect
237. #2352C22semidirect
238. D4×C4⋊C4C22semidirect
239. D4×C4⋊C4C22semidirect
240. #2324C22semidirect
241. #2323C22semidirect
242. #2322C22semidirect
243. #2322C22semidirect
244. #2317C22semidirect
245. #2316C22semidirect
246. #2316C22semidirect
248. #2311C22semidirect
249. #2311C22semidirect
250. #2311C22semidirect
251. #2310C22semidirect
252. C4×C22⋊Q8C22semidirect
253. C4×#121C22semidirect
254. C4×#120C22semidirect
255. C4×#120C22semidirect
256. #2296C22semidirect
257. C2×#390C22semidirect
258. #2280C22semidirect
259. #2280C22semidirect
260. #2274C22semidirect
341. #525D4semidirect

Maximal subgroups

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

subgroupindex
C2×#35402
C2×#35292
#512012
#508862
#506842
#495802
#495792
#478662
#478652
#454782
#454772
#394682
#393342
#389222
#389032
#380512
#380242
#378452
#376492
#374452
#373762
#372772
#372692
#356332
#355692
#355332
#352232
#342002