Finite Group Databasebeta

← #7692193

Subgroups — #7692193

Order 512.

7045 conjugacy classes of subgroups.

The subgroup lattice has 1871 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3523C211yesmaximal, characteristic, complemented
2C2×#3475C211yesmaximal, characteristic, complemented
3#59418C211yesmaximal, characteristic, complemented
4#59416C212yesmaximal, complemented
5#59187C214yesmaximal, complemented
6#59073C212yesmaximal, complemented
7#59067C211yesmaximal, characteristic, complemented
8#59044C212yesmaximal, complemented
9#59040C211yesmaximal, characteristic, complemented
10#59005C212yesmaximal, complemented
11#45416C212yesmaximal, complemented
12#45185C212yesmaximal, complemented
13#44784C214yesmaximal, complemented
14#44351C214yesmaximal, complemented
15#39955C212yesmaximal, complemented
16#39878C212yesmaximal, complemented
17#38958C211yesmaximal, characteristic, complemented
18#38922C211yesmaximal, characteristic, complemented
19#37739C214yesmaximal, complemented
20#37671C212yesmaximal, complemented
21#36562C211yesmaximal, characteristic, complemented
22#36544C211yesmaximal, characteristic, complemented
23#36505C211yesmaximal, characteristic, complemented
24#36431C212yesmaximal, complemented
25#36234C212yesmaximal, complemented
26#36151C211yesmaximal, characteristic, complemented
27#36114C212yesmaximal, complemented
28D4×C22⋊Q8C211yesmaximal, characteristic, complemented
29#35985C212yesmaximal, complemented
30#35736C212yesmaximal, complemented
31#34720C212yesmaximal, complemented
32#34700C211yesmaximal, characteristic, complemented
33#34322C211yesmaximal, characteristic, complemented
34#34203C212yesmaximal, complemented
35C4×#548C211yesmaximal, characteristic, complemented
36#3523—216no—
37C2×#557C2212yescomplemented
38C2×#557C2211yescharacteristic, complemented
39C2×#557C2211yescharacteristic, complemented
40#3475—216no—
41C2×#556C2212yes—
42C2×#556C2211yescharacteristic
43C2×#555C2211yescharacteristic
44C2×#554C2211yescharacteristic
45C2×#553C2212yes—
46C2×#552C2212yes—
47C2×#552C2212yes—
48C2×#552C2214yescomplemented
49C2×#552C2212yescomplemented
50C2×#551C2214yes—
51C2×D4×Q8C2211yescharacteristic
52C2×D4×Q8C2212yescomplemented
53C2×#548C2211yescharacteristic
54C2×#547C2211yescharacteristic
55C2×#546C2212yes—
56C2×#541C2212yescomplemented
57C2×#541C2214yescomplemented
58C2×#533C2211yescharacteristic
59C2×#533C2211yescharacteristic, complemented
60C2×#533C2212yescomplemented
61C2×#529C2211yescharacteristic
62C2×#529C2212yes—
63C2×#529C2212yes—
64C2×#529C2214yes—
65C2×#525C2212yes—
66C22×C22⋊Q8C2212yes—
67C2×#519C2212yescomplemented
68C2×C4×#41C2212yes—
69C2×C4×#41C2211yescharacteristic
70C22×C4×Q8C2211yescharacteristic, complemented
71C22×C4×D4C2211yescharacteristic
72C22×#117C2212yes—
73#2862C2211yescharacteristic, complemented
74#2859C2212yescomplemented
75#2857C2211yescharacteristic
76#2857C2211yescharacteristic, complemented
77#2851C2212yescomplemented
78#2851C2212yescomplemented
79#2851C2214yescomplemented
80#2848C2212yes—
81#2726C2214yescomplemented
82#2722C2214yescomplemented
83#2720C2214yes—
84#2719C2214yescomplemented
85#2715C2214yescomplemented
86#2713C2214yescomplemented
87#2707C2214yes—
88#2707C2214yescomplemented
89#2704C2214yescomplemented
90#2700C2214yescomplemented
91#2700C2214yescomplemented
92#2698C2214yescomplemented
93#2695C2214yes—
94#2694C2214yes—
95#2694C2214yescomplemented
96#2687C2214yes—
97#2685C2214yes—
98#2685C2214yes—
99#2681C2214yes—
100#2674C2214yes—
101#2672C2214yescomplemented
102#2664C2214yescomplemented
103#2637C2214yescomplemented
104#2624C2212yescomplemented
105#2620C2212yescomplemented
106#2611C2214yes—
107#2609C2214yes—
108#2604C2214yescomplemented
109#2601C2214yescomplemented
110#2584C2212yescomplemented
111#2580C2212yes—
112#2580C2214yescomplemented
113#2567C2211yescharacteristic, complemented
114#2567C2211yescharacteristic, complemented
115#2566C2212yes—
116#2566C2214yescomplemented
117#2565C2212yescomplemented
118#2562C2212yes—
119#2559C2214yes—
120#2558C2214yescomplemented
121#2556C2214yescomplemented
122#2556C2214yescomplemented
123#2553C2214yes—
124#2553C2214yescomplemented
125#2552C2212yescomplemented
126#2547C2211yescharacteristic, complemented
127#2542C2211yescharacteristic
128#2540C2212yescomplemented
129#2538C2211yescharacteristic
130#2538C2211yescharacteristic, complemented
131#2538C2212yescomplemented
132#2537C2212yes—
133#2536C2212yes—
134#2536C2212yes—
135#2499C2212yescomplemented
136#2496C2214yescomplemented
137#2490C2212yescomplemented
138#2489C2212yes—
139#2489C2212yescomplemented
140#2485C2212yescomplemented
141#2480C2214yes—
142#2480C2212yes—
143#2478C2214yescomplemented
144#2477C2214yescomplemented
145#2476C2214yes—
146#2476C2214yes—
147#2475C2214yescomplemented
148#2475C2214yescomplemented
149#2472C2214yes—
150#2471C2214yescomplemented
151#2470C2214yescomplemented
152#2470C2214yescomplemented
153#2470C2214yescomplemented
154#2468C2212yes—
155#2468C2214yescomplemented
156#2466C2214yescomplemented
157#2466C2214yescomplemented
158#2465C2214yescomplemented
159#2464C2214yes—
160#2463C2214yescomplemented
161#2462C2214yescomplemented
162#2460C2214yes—
163#2460C2214yescomplemented
164#2457C2212yes—
165#2457C2214yes—
166#2454C2211yescharacteristic
167#2454C2214yescomplemented
168#2453C2212yescomplemented
169#2453C2212yescomplemented
170#2453C2212yescomplemented
171#2452C2212yes—
172#2452C2214yescomplemented
173#2449C2214yes—
174#2449C2214yescomplemented
175#2449C2214yescomplemented
176#2447C2211yescharacteristic
177#2446C2212yescomplemented
178#2446C2212yescomplemented
179#2442C2211yescharacteristic
180#2442C2212yescomplemented
181#2441C2212yes—
182#2441C2212yescomplemented
183#2441C2214yescomplemented
184#2440C2212yes—
185#2439C2212yescomplemented
186#2439C2212yescomplemented
187#2439C2214yescomplemented
188#2437C2214yes—
189#2436C2212yescomplemented
190#2435C2211yescharacteristic
191#2432C2212yes—
192#2432C2212yes—
193#2429C2212yes—
194#2429C2212yescomplemented
195#2429C2212yescomplemented
196#2429C2212yescomplemented
197#2427C2212yes—
198#2427C2211yescharacteristic
199#2426C2212yescomplemented
200#2426C2212yescomplemented
201#2424C2214yes—
202#2423C2212yes—
203#2423C2212yescomplemented
204#2423C2212yescomplemented
205#2422C2214yescomplemented
206#2421C2212yes—
207#2421C2212yescomplemented
208#2421C2212yescomplemented
209#2420C2211yescharacteristic
210#2420C2212yes—
211#2420C2212yes—
212#2418C2212yes—
213#2418C2214yes—
214#2417C2212yes—
215#2417C2211yescharacteristic
216#2417C2212yescomplemented
217#2416C2212yescomplemented
218#2415C2212yes—
219#2415C2212yes—
220#2415C2212yescomplemented
221#2409C2212yes—
222#2409C2212yescomplemented
223#2408C2211yescharacteristic
224#2407C2212yes—
225#2398C2214yescomplemented
226#2395C2212yes—
227#2392C2212yes—
228#2392C2214yescomplemented
229#2373C2214yescomplemented
230#2367C2212yes—
231#2367C2212yes—
232#2367C2211yescharacteristic, complemented
233#2367C2212yescomplemented
234#2365C2211yescharacteristic, complemented
235#2362C2212yes—
236#2362C2211yescharacteristic
237#2362C2212yes—
238#2362C2212yes—
239#2362C2212yescomplemented
240#2362C2212yescomplemented
241#2361C2212yes—
242#2361C2214yescomplemented
243#2361C2211yescharacteristic, complemented
244#2360C2212yescomplemented
245#2360C2212yescomplemented
246#2360C2212yescomplemented
247#2360C2212yescomplemented
248#2360C2212yescomplemented
249#2360C2212yescomplemented
250#2355C2211yescharacteristic, complemented
251#2352C2211yescharacteristic
252#2352C2212yescomplemented
253#2351C2212yescomplemented
254#2351C2212yescomplemented
255#2351C2211yescharacteristic, complemented
256Q8×C4⋊C4C2212yescomplemented
257D4×C4⋊C4C2211yescharacteristic
258D4×C4⋊C4C2212yes—
259D4×C4⋊C4C2212yescomplemented
260#2346C2212yescomplemented
261#2344C2214yescomplemented
262#2344C2214yescomplemented
263#2342C2214yes—
264#2342C2214yes—
265#2341C2212yes—
266#2341C2212yes—
267#2341C2211yescharacteristic
268Q8×C22⋊C4C2211yescharacteristic, complemented
269D4×C22⋊C4C2212yes—
270#2334C2214yescomplemented
271#2323C2214yes—
272#2323C2214yes—
273#2323C2212yescomplemented
274#2316C2212yescomplemented
275#2310C2212yescomplemented
276C4×C4⋊Q8C2211yescharacteristic, complemented
277C4×#124C2212yes—
278C4×#124C2212yes—
279C4×#124C2212yes—
280C4×#124C2211yescharacteristic
281C4×#124C2211yescharacteristic, complemented
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×C22⋊Q8C2214yescomplemented
285C4×C22⋊Q8C2212yescomplemented
286C4×C22⋊Q8C2214yescomplemented
287C4×C22⋊Q8C2212yescomplemented
288C4×#121C2212yes—
289C4×#121C2211yescharacteristic
290C4×#121C2212yes—
291C4×#121C2211yescharacteristic, complemented
292C4×#120C2212yes—
293#2295C2212yescomplemented
294#2293C2211yescharacteristic
295#2290C2214yescomplemented
296#2280C2212yes—
297#2274C2212yescomplemented
298C42×Q8C2211yescharacteristic, complemented
299C42×D4C2211yescharacteristic
300C42×D4C2212yescomplemented
301C22×#41C2312yes—
302C22×#41C2311yescharacteristic
303C23×Q8C2312yes—
304C23×Q8C2311yescharacteristic
305C23×D4C2311yescharacteristic
306C24×C4C2312yes—
307#557—28no—
308#557—216no—
309#557—28no—
310#556—216no—
311#556D4116yescomplemented
312#555—28no—
313#554—28no—
314#553—216no—
315#552—232no—
316#552—216no—
317#552—216no—
318#552—216no—
319#551—232no—
320D4×Q8—216no—
321D4×Q8—28no—
322#548—28no—
323#547—28no—
324#546—216no—
325#541—232no—
326#541—216no—
327#533—28no—
328#533—28no—
329#533—216no—
330C2×C4⋊Q8C2311yescharacteristic
331C2×C4⋊Q8C2311yescharacteristic
332C2×C4⋊Q8C2314yes—
333C2×C4⋊Q8C2312yes—
334C2×C4⋊Q8C2312yes—
335C2×C4⋊Q8C2312yes—
336C2×C4⋊Q8C2311yescharacteristic
337#529—232no—
338#529—216no—
339#529—216no—
340#529—28no—
341C2×#126C2314yes—
342C2×#126C2314yes—
343C2×#126C2312yes—
344C2×#126C2314yes—
345C2×#126C2314yes—
346C2×#126C2314yes—
347C2×#126C2314yes—
348C2×#125C2312yes—
349C2×#125C2312yes—
350C2×#125C2314yes—
351C2×#125C2311yescharacteristic
352C2×#125C2314yes—
353C2×#125C2312yes—
354C2×#125C2312yes—
355C2×#125C2314yes—
356C2×#125C2314yes—
357C2×#125C2312yes—
358C2×#125C2314yes—
359C2×#125C2314yes—
360C2×#124C2312yes—
361C2×#124C2311yescharacteristic
362C2×#124C2314yes—
363C2×#124C2311yescharacteristic
364C2×#124C2311yescharacteristic
365C2×#124C2312yes—
366C2×#124C2312yes—
367#525—216no—
368C2×#123C2314yes—
369C2×#123C2312yes—
370C2×#123C2314yes—
371C2×#123C2314yes—
372C2×#123C2314yes—
373C2×#123C2314yes—
374C2×C22⋊Q8—216no—
375C2×C22⋊Q8C2314yes—
376C2×C22⋊Q8C2312yes—
377C2×C22⋊Q8C2312yes—
378C2×C22⋊Q8C2312yes—
379C2×C22⋊Q8C2312yes—
380C2×C22⋊Q8C2312yes—
381C2×C22⋊Q8C2312yes—
382C2×C22⋊Q8C2312yes—
383C2×C22⋊Q8C2314yes—
384C2×C22⋊Q8C2312yes—
385C2×C22⋊Q8C2312yes—
386C2×C22⋊Q8C2311yescharacteristic
387C2×C22⋊Q8C2312yes—
388C2×C22⋊Q8C2314yes—
389C2×C22⋊Q8C2312yes—
390C2×C22⋊Q8C2314yes—
391C2×C22⋊Q8C2314yes—
392C2×C22⋊Q8C2314yes—
393C2×C22⋊Q8C2312yes—
394C2×C22⋊Q8C2312yes—
395C2×C22⋊Q8C2312yes—
396C2×C22⋊Q8C2311yescharacteristic
397C2×C22⋊Q8C2312yes—
398C2×C22⋊Q8C2311yescharacteristic
399C2×#121C2312yes—
400C2×#121C2311yescharacteristic
401C2×#121C2312yes—
402C2×#121C2311yescharacteristic
403C2×#121C2311yescharacteristic
404C2×#121C2312yes—
405C2×#121C2312yes—
406C2×#121C2314yes—
407C2×#121C2314yes—
408C2×#120C2314yes—
409C2×#120C2312yes—
410#519—216no—
411C4×#41—216no—
412C4×#41—28no—
413C2×C4×Q8—28no—
414C2×C4×Q8C2312yes—
415C2×C4×Q8C2311yescharacteristic
416C2×C4×Q8C2311yescharacteristic
417C2×C4×Q8C2314yes—
418C2×C4×Q8C2314yes—
419C2×C4×Q8C2312yes—
420C2×C4×Q8C2311yescharacteristic
421C2×C4×Q8C2312yes—
422C2×C4×Q8C2311yescharacteristic
423C2×C4×Q8C2312yes—
424C2×C4×Q8C2312yes—
425C2×C4×Q8C2311yescharacteristic
426C2×C4×Q8C2311yescharacteristic
427C2×C4×Q8C2312yes—
428C2×C4×Q8C2312yes—
429C2×C4×Q8C2312yes—
430C2×C4×Q8C2312yes—
431C2×C4×Q8C2312yes—
432C2×C4×Q8C2312yes—
433C2×C4×Q8C2311yescharacteristic
434C2×C4×Q8C2312yes—
435C2×C4×Q8C2312yes—
436C2×C4×Q8C2311yescharacteristic
437C2×C4×D4—28no—
438C2×C4×D4C2312yes—
439C2×C4×D4C2312yes—
440C2×C4×D4C2314yes—
441C2×C4×D4C2312yes—
442C2×C4×D4C2311yescharacteristic
443C2×C4×D4C2311yescharacteristic
444C2×C4×D4C2312yes—
445C2×C4×D4C2312yes—
446C2×C4×D4C2311yescharacteristic
447C2×C4×D4C2314yes—
448C2×C4×D4C2314yes—
449C2×C4×D4C2312yes—
450C2×C4×D4C2312yes—
451C2×C4×D4C2311yescharacteristic
452C2×C4×D4C2312yes—
453C2×C4×D4C2311yescharacteristic
454C2×C4×D4C2314yes—
455C2×C4×D4C2311yescharacteristic
456C2×C4×D4C2312yes—
457C2×C4×D4C2312yes—
458C2×C4×D4C2314yes—
459C2×C4×D4C2311yescharacteristic
460C2×C4×D4C2312yes—
461C2×C4×D4C2312yes—
462C2×C4×D4C2311yescharacteristic
463C2×C4×D4C2311yescharacteristic
464C2×#117—216no—
465C2×#117C2312yes—
466C2×#117C2312yes—
467C2×#117C2314yes—
468C2×#117C2314yes—
469C2×#117C2314yes—
470C2×#117C2314yes—
471C2×#117C2314yes—
472C2×#117C2311yescharacteristic
473C2×#117C2312yes—
474C2×#117C2312yes—
475C2×#117C2312yes—
476C2×#117C2312yes—
477C2×#117C2314yes—
478C2×#117C2312yes—
479C2×#117C2312yes—
480C22×C4⋊C4C2312yes—
481C22×C4⋊C4C2314yes—
482C22×C4⋊C4C2311yescharacteristic
483C22×C4⋊C4C2312yes—
484C22×C4⋊C4C2312yes—
485C22×C4⋊C4C2312yes—
486C22×C4⋊C4C2311yescharacteristic
487C22×C22⋊C4C2314yes—
488C22×C22⋊C4C2314yes—
489C22×C22⋊C4C2312yes—
490C22×C42C2314yes—
491C22×C42C2312yes—
492C22×C42C2312yes—
493C22×C42C2311yescharacteristic
494C22×C42C2311yescharacteristic
495#400C2314yes—
496#400C2312yes—
497#400C2314yes—
498#400C2314yes—
499#400C2314yes—
500#400C2314yes—
501#399C2314yes—
502#399C2312yes—
503#399C2314yes—
504#399C2314yes—
505#399C2314yes—
506#399C2314yes—
507#398C2314yes—
508#398C2314yes—
509#398C2314yes—
510#398C2314yes—
511#398C2314yes—
512#398C2314yes—
513#398C2312yes—
514#398C2314yes—
515#398C2314yes—
516#398C2312yes—
517#398C2314yes—
518#398C2314yes—
519#398C2314yes—
520#397C2314yes—
521#397C2314yes—
522#397C2312yes—
523#397C2314yes—
524#397C2312yes—
525#397C2312yes—
526#397C2312yes—
527#397C2314yes—
528#397C2314yes—
529#397C2314yes—
530#397C2314yes—
531#397C2314yes—
532#396C2314yes—
533#396C2314yes—
534#396C2312yes—
535#396C2314yes—
536#396C2314yes—
537#396C2314yes—
538#396C2312yes—
539#396C2314yes—
540#396C2314yes—
541#396C2314yes—
542#396C2314yes—
543#396C2314yes—
544#396C2314yes—
545#396C2314yes—
546#395C2314yes—
547#395C2314yes—
548#395C2314yes—
549#395C2314yes—
550#394C2314yes—
551#394C2314yes—
552#394C2314yes—
553#394C2314yes—
554#394C2314yes—
555#394C2314yes—
556#394C2314yes—
557#394C2312yes—
558#394C2312yes—
559#394C2312yes—
560#394C2314yes—
561#394C2312yes—
562#394C2312yes—
563#394C2314yes—
564#394C2314yes—
565#394C2314yes—
566#394C2314yes—
567#393C2314yes—
568#393C2314yes—
569#393C2314yes—
570#393C2314yes—
571#392C2312yes—
572#392C2314yes—
573#391C2312yes—
574#391C2311yescharacteristic
575#391C2312yes—
576#391C2311yescharacteristic
577#391C2312yes—
578#391C2314yes—
579#391C2314yes—
580#391C2312yes—
581#391C2312yes—
582#391C2312yes—
583#391C2312yes—
584#391C2312yes—
585#391C2311yescharacteristic
586#391C2312yes—
587#391C2312yes—
588#391C2312yes—
589#391C2312yes—
590#391C2312yes—
591#391C2312yes—
592#391C2311yescharacteristic
593#390C2311yescharacteristic
594#390C2312yes—
595#390C2314yes—
596#390C2314yes—
597#390C2311yescharacteristic
598#390C2312yes—
599#390C2314yes—
600#390C2314yes—
601#390C2312yes—
602#390C2311yescharacteristic
603#390C2312yes—
604#390C2311yescharacteristic
605#390C2314yes—
606#390C2311yescharacteristic
607#390C2312yes—
608#390C2311yescharacteristic
609#389C2312yes—
610#389C2312yes—
611#389C2312yes—
612#389C2312yes—
613#389C2312yes—
614#389C2312yes—
615#389C2311yescharacteristic
616#389C2314yes—
617#389C2314yes—
618#389C2312yes—
619#389C2312yes—
620#389C2314yes—
621#389C2314yes—
622#389C2314yes—
623#389C2314yes—
624#389C2312yes—
625#389C2314yes—
626#389C2312yes—
627#389C2314yes—
628#389C2314yes—
629#389C2311yescharacteristic
630#389C2312yes—
631#389C2314yes—
632#389C2314yes—
633#389C2311yescharacteristic
634#389C2312yes—
635#389C2314yes—
636#389C2314yes—
637#389C2314yes—
638#389C2312yes—
639#389C2314yes—
640#389C2314yes—
641#389C2314yes—
642#389C2312yes—
643#389C2311yescharacteristic
644#389C2312yes—
645#389C2311yescharacteristic
646#389C2312yes—
647#389C2311yescharacteristic
648#388C2314yes—
649#388C2314yes—
650#388C2312yes—
651#388C2312yes—
652#388C2314yes—
653#388C2314yes—
654#388C2314yes—
655#388C2314yes—
656#388C2314yes—
657#388C2314yes—
658#388C2314yes—
659#388C2312yes—
660#388C2314yes—
661#388C2314yes—
662#388C2314yes—
663#388C2314yes—
664#388C2314yes—
665#388C2312yes—
666#388C2314yes—
667#388C2314yes—
668#388C2312yes—
669#388C2312yes—
670#388C2314yes—
671#388C2312yes—
672#388C2312yes—
673#388C2314yes—
674#388C2312yes—
675#388C2312yes—
676#388C2312yes—
677#388C2312yes—
678#388C2314yes—
679#388C2314yes—
680#388C2314yes—
681#388C2312yes—
682#388C2312yes—
683#387C2314yes—
684#387C2314yes—
685#387C2314yes—
686#387C2314yes—
687#387C2314yes—
688#387C2314yes—
689#387C2314yes—
690#387C2314yes—
691#387C2314yes—
692#387C2312yes—
693#387C2314yes—
694#387C2314yes—
695#387C2314yes—
696#387C2314yes—
697#387C2312yes—
698#387C2314yes—
699#387C2314yes—
700#387C2314yes—
701#387C2314yes—
702#387C2312yes—
703#387C2314yes—
704#387C2314yes—
705#387C2314yes—
706#387C2314yes—
707#387C2312yes—
708#386C2314yes—
709#386C2314yes—
710#386C2312yes—
711#386C2312yes—
712#386C2312yes—
713#386C2312yes—
714#386C2312yes—
715#386C2314yes—
716#386C2314yes—
717#386C2314yes—
718#386C2314yes—
719#386C2312yes—
720#386C2314yes—
721#386C2312yes—
722#385C2314yes—
723#385C2314yes—
724#385C2312yes—
725#385C2314yes—
726#385C2314yes—
727#385C2314yes—
728#385C2312yes—
729#385C2314yes—
730#385C2314yes—
731#385C2314yes—
732#385C2314yes—
733#385C2314yes—
734#385C2312yes—
735#385C2314yes—
736#385C2314yes—
737#385C2314yes—
738#385C2314yes—
739#385C2314yes—
740#385C2314yes—
741#385C2312yes—
742#385C2312yes—
743#385C2312yes—
744#385C2314yes—
745#385C2314yes—
746#385C2312yes—
747#384C2311yescharacteristic
748#384C2312yes—
749#384C2312yes—
750#384C2314yes—
751#384C2312yes—
752#382C2312yes—
753#382C2314yes—
754#382C2312yes—
755#382C2314yes—
756#382C2311yescharacteristic
757#382C2312yes—
758#382C2311yescharacteristic
759#382C2312yes—
760#381C2314yes—
761#381C2314yes—
762#381C2312yes—
763#381C2312yes—
764#380C2311yescharacteristic
765#380C2312yes—
766#380C2312yes—
767#380C2312yes—
768#380C2314yes—
769#380C2314yes—
770#380C2312yes—
771#380C2312yes—
772#380C2312yes—
773#380C2311yescharacteristic
774#380C2312yes—
775#380C2311yescharacteristic
776#380C2314yes—
777#380C2314yes—
778#380C2312yes—
779#380C2312yes—
780#380C2311yescharacteristic
781#380C2312yes—
782#380C2312yes—
783#380C2312yes—
784#380C2312yes—
785#380C2314yes—
786#380C2312yes—
787#380C2312yes—
788#379C2314yes—
789#379C2312yes—
790#379C2312yes—
791#379C2312yes—
792C4×C4⋊C4C2312yes—
793C4×C4⋊C4C2312yes—
794C4×C4⋊C4C2312yes—
795C4×C4⋊C4C2312yes—
796C4×C4⋊C4C2314yes—
797C4×C4⋊C4C2311yescharacteristic
798C4×C4⋊C4C2311yescharacteristic
799C4×C4⋊C4C2314yes—
800C4×C4⋊C4C2312yes—
801C4×C4⋊C4C2312yes—
802C4×C4⋊C4C2314yes—
803C4×C4⋊C4C2314yes—
804C4×C4⋊C4C2314yes—
805C4×C4⋊C4C2311yescharacteristic
806C4×C4⋊C4C2312yes—
807C4×C4⋊C4C2312yes—
808C4×C4⋊C4C2311yescharacteristic
809C4×C4⋊C4C2312yes—
810C4×C4⋊C4C2311yescharacteristic
811C4×C4⋊C4C2312yes—
812C4×C4⋊C4C2311yescharacteristic
813C4×C4⋊C4C2312yes—
814C4×C4⋊C4C2311yescharacteristic
815C4×C4⋊C4C2312yes—
816C4×C22⋊C4C2314yes—
817C4×C22⋊C4C2312yes—
818C4×C22⋊C4C2312yes—
819C4×C22⋊C4C2311yescharacteristic
820C4×C22⋊C4C2314yes—
821C4×C22⋊C4C2314yes—
822C4×C22⋊C4C2311yescharacteristic
823C4×C22⋊C4C2312yes—
824C4×C22⋊C4C2312yes—
825C4×C22⋊C4C2312yes—
826C4×C22⋊C4C2314yes—
827C4×C22⋊C4C2314yes—
828C4×C22⋊C4C2314yes—
829C4×C22⋊C4C2312yes—
830C4×C22⋊C4C2312yes—
831C4×C22⋊C4C2311yescharacteristic
832C4×C22⋊C4C2312yes—
833C4×C22⋊C4C2312yes—
834C4×C22⋊C4C2314yes—
835C4×C22⋊C4C2312yes—
836C4×C22⋊C4C2314yes—
837C4×C22⋊C4C2312yes—
838C4×C22⋊C4C2311yescharacteristic
839C4×C22⋊C4C2312yes—
840C4×C22⋊C4C2314yes—
841C4×C22⋊C4C2311yescharacteristic
842C4×C22⋊C4C2312yes—
843C4×C22⋊C4C2311yescharacteristic
844#376C2314yes—
845C43C2311yescharacteristic
846C43C2312yes—
847C25C2412yes—
848C2×#41—24no—
849C2×#41—28no—
850C2×#41—28no—
851C2×#41—24no—
852C2×#41—42no—
853C2×#41—44no—
854C22×Q8—24no—
855C22×Q8—28no—
856C22×Q8—24no—
857C22×Q8—28no—
858C22×Q8—44no—
859C22×Q8—42no—
860C22×Q8C2411yescharacteristic
861C22×Q8C2412yes—
862C22×Q8C2414yes—
863C22×Q8C2412yes—
864C22×Q8C2412yes—
865C22×Q8C2411yescharacteristic
866C22×Q8C2411yescharacteristic
867C22×Q8C2412yes—
868C22×D4—24no—
869C22×D4—24no—
870C22×D4—42no—
871C22×D4C2411yescharacteristic
872C22×D4C2411yescharacteristic
873C22×D4C2412yes—
874C22×D4C2412yes—
875C22×D4C2412yes—
876C22×D4C2412yes—
877C22×D4C2414yes—
878C22×D4C2412yes—
879C22×D4C2411yescharacteristic
880C22×D4C2411yescharacteristic
881C22×D4C2414yes—
882C23×C4—28no—
883C23×C4—28no—
884C23×C4—44no—
885C23×C4C2412yes—
886C23×C4C2411yescharacteristic
887C23×C4C2411yescharacteristic
888C23×C4C2412yes—
889C23×C4C2411yescharacteristic
890C23×C4C2414yes—
891C23×C4C2412yes—
892C23×C4C2414yes—
893C23×C4C2412yes—
894C23×C4C2412yes—
895C23×C4C2411yescharacteristic
896C23×C4C2412yes—
897C23×C4C2412yes—
898C23×C4C2412yes—
899C23×C4C2412yes—
900C23×C4C2411yescharacteristic
901C23×C4C2411yescharacteristic
902C23×C4C2414yes—
903C23×C4C2414yes—
904C23×C4C2412yes—
905C4⋊Q8—28no—
906C4⋊Q8—28no—
907C4⋊Q8—28no—
908C4⋊Q8—216no—
909C4⋊Q8—24no—
910C4⋊Q8—24no—
911C4⋊Q8C2×D418yes—
912#126—216no—
913#126—28no—
914#126—216no—
915#126—216no—
916#126—216no—
917#126—216no—
918#126C2×D4132yes—
919#125—216no—
920#125—24no—
921#125—216no—
922#125—28no—
923#125—28no—
924#125—216no—
925#125—216no—
926#125—216no—
927#125—28no—
928#125—28no—
929#125—28no—
930#125—216no—
931#124—24no—
932#124—24no—
933#124—24no—
934#124—216no—
935#124—28no—
936#124—44no—
937#124C2×D4116yes—
938#123—216no—
939#123—216no—
940#123—216no—
941#123—216no—
942#123—28no—
943#123—216no—
944C22⋊Q8—28no—
945C22⋊Q8—28no—
946C22⋊Q8—28no—
947C22⋊Q8—28no—
948C22⋊Q8—28no—
949C22⋊Q8—28no—
950C22⋊Q8—28no—
951C22⋊Q8—24no—
952C22⋊Q8—216no—
953C22⋊Q8—216no—
954C22⋊Q8—28no—
955C22⋊Q8—28no—
956C22⋊Q8—216no—
957C22⋊Q8—28no—
958C22⋊Q8—28no—
959C22⋊Q8—216no—
960C22⋊Q8—216no—
961C22⋊Q8—216no—
962C22⋊Q8—44no—
963C22⋊Q8—44no—
964C22⋊Q8—42no—
965C22⋊Q8—44no—
966C22⋊Q8C2×D4116yes—
967C22⋊Q8#4118yescomplemented
968#121—24no—
969#121—28no—
970#121—24no—
971#121—28no—
972#121—28no—
973#121—24no—
974#121—216no—
975#121—28no—
976#121—48no—
977#120—216no—
978#120—44no—
979C4×Q8—24no—
980C4×Q8—28no—
981C4×Q8—24no—
982C4×Q8—28no—
983C4×Q8—28no—
984C4×Q8—24no—
985C4×Q8—28no—
986C4×Q8—28no—
987C4×Q8—28no—
988C4×Q8—28no—
989C4×Q8—28no—
990C4×Q8—24no—
991C4×Q8—24no—
992C4×Q8—28no—
993C4×Q8—216no—
994C4×Q8—216no—
995C4×Q8—24no—
996C4×Q8—28no—
997C4×Q8—42no—
998C4×Q8—44no—
999C4×Q8—44no—
1000C4×Q8C2×D418yes—
1001C4×Q8C2×D4116yes—
1002C4×D4—24no—
1003C4×D4—28no—
1004C4×D4—28no—
1005C4×D4—28no—
1006C4×D4—24no—
1007C4×D4—24no—
1008C4×D4—216no—
1009C4×D4—28no—
1010C4×D4—24no—
1011C4×D4—28no—
1012C4×D4—28no—
1013C4×D4—216no—
1014C4×D4—216no—
1015C4×D4—24no—
1016C4×D4—28no—
1017C4×D4—28no—
1018C4×D4—24no—
1019C4×D4—216no—
1020C4×D4—44no—
1021C4×D4—44no—
1022C4×D4—44no—
1023C4×D4—42no—
1024C4×D4—44no—
1025C4×D4—42no—
1026C4×D4—48no—
1027C4×D4C2×D418yes—
1028#117—28no—
1029#117—28no—
1030#117—24no—
1031#117—28no—
1032#117—28no—
1033#117—216no—
1034#117—28no—
1035#117—28no—
1036#117—216no—
1037#117—216no—
1038#117—216no—
1039#117—216no—
1040#117—216no—
1041#117—44no—
1042#117C2×D4116yes—
1043C2×C4⋊C4—28no—
1044C2×C4⋊C4—28no—
1045C2×C4⋊C4—24no—
1046C2×C4⋊C4—28no—
1047C2×C4⋊C4—24no—
1048C2×C4⋊C4—216no—
1049C2×C4⋊C4—28no—
1050C2×C4⋊C4C2411yescharacteristic
1051C2×C4⋊C4C2412yes—
1052C2×C4⋊C4C2412yes—
1053C2×C4⋊C4C2414yes—
1054C2×C4⋊C4C2414yes—
1055C2×C4⋊C4C2411yescharacteristic
1056C2×C4⋊C4C2412yes—
1057C2×C4⋊C4C2411yescharacteristic
1058C2×C4⋊C4C2412yes—
1059C2×C4⋊C4C2412yes—
1060C2×C4⋊C4C2412yes—
1061C2×C4⋊C4C2412yes—
1062C2×C4⋊C4C2414yes—
1063C2×C4⋊C4C2414yes—
1064C2×C4⋊C4C2414yes—
1065C2×C4⋊C4C2414yes—
1066C2×C4⋊C4C2412yes—
1067C2×C4⋊C4C2414yes—
1068C2×C4⋊C4C2412yes—
1069C2×C4⋊C4C2414yes—
1070C2×C4⋊C4C2412yes—
1071C2×C4⋊C4C2414yes—
1072C2×C4⋊C4C2412yes—
1073C2×C4⋊C4C2414yes—
1074C2×C4⋊C4C2412yes—
1075C2×C4⋊C4C2414yes—
1076C2×C4⋊C4C2414yes—
1077C2×C4⋊C4C2412yes—
1078C2×C4⋊C4C2412yes—
1079C2×C4⋊C4C2414yes—
1080C2×C4⋊C4C2411yescharacteristic
1081C2×C4⋊C4C2412yes—
1082C2×C4⋊C4C2414yes—
1083C2×C4⋊C4C2411yescharacteristic
1084C2×C4⋊C4C2411yescharacteristic
1085C2×C4⋊C4C2414yes—
1086C2×C4⋊C4C2412yes—
1087C2×C4⋊C4C2414yes—
1088C2×C4⋊C4C2414yes—
1089C2×C4⋊C4C2411yescharacteristic
1090C2×C4⋊C4C2414yes—
1091C2×C4⋊C4C2412yes—
1092C2×C4⋊C4C2411yescharacteristic
1093C2×C4⋊C4C2412yes—
1094C2×C4⋊C4C2412yes—
1095C2×C4⋊C4C2412yes—
1096C2×C4⋊C4C2412yes—
1097C2×C4⋊C4C2411yescharacteristic
1098C2×C4⋊C4C2411yescharacteristic
1099C2×C4⋊C4C2414yes—
1100C2×C4⋊C4C2412yes—
1101C2×C4⋊C4C2412yes—
1102C2×C4⋊C4C2414yes—
1103C2×C4⋊C4C2414yes—
1104C2×C4⋊C4C2414yes—
1105C2×C4⋊C4C2412yes—
1106C2×C4⋊C4C2414yes—
1107C2×C4⋊C4C2414yes—
1108C2×C4⋊C4C2412yes—
1109C2×C4⋊C4C2414yes—
1110C2×C4⋊C4C2412yes—
1111C2×C4⋊C4C2414yes—
1112C2×C4⋊C4C2414yes—
1113C2×C4⋊C4C2411yescharacteristic
1114C2×C4⋊C4C2411yescharacteristic
1115C2×C4⋊C4C2412yes—
1116C2×C4⋊C4C2412yes—
1117C2×C4⋊C4C2414yes—
1118C2×C4⋊C4C2412yes—
1119C2×C4⋊C4C2412yes—
1120C2×C4⋊C4C2411yescharacteristic
1121C2×C22⋊C4—216no—
1122C2×C22⋊C4—28no—
1123C2×C22⋊C4—216no—
1124C2×C22⋊C4C2412yes—
1125C2×C22⋊C4C2412yes—
1126C2×C22⋊C4C2414yes—
1127C2×C22⋊C4C2414yes—
1128C2×C22⋊C4C2412yes—
1129C2×C22⋊C4C2412yes—
1130C2×C22⋊C4C2414yes—
1131C2×C22⋊C4C2414yes—
1132C2×C22⋊C4C2414yes—
1133C2×C22⋊C4C2412yes—
1134C2×C22⋊C4C2412yes—
1135C2×C22⋊C4C2412yes—
1136C2×C22⋊C4C2414yes—
1137C2×C22⋊C4C2414yes—
1138C2×C22⋊C4C2412yes—
1139C2×C22⋊C4C2414yes—
1140C2×C22⋊C4C2412yes—
1141C2×C22⋊C4C2411yescharacteristic
1142C2×C22⋊C4C2411yescharacteristic
1143C2×C22⋊C4C2414yes—
1144C2×C22⋊C4C2414yes—
1145C2×C22⋊C4C2414yes—
1146C2×C22⋊C4C2412yes—
1147C2×C22⋊C4C2411yescharacteristic
1148C2×C22⋊C4C2412yes—
1149C2×C22⋊C4C2412yes—
1150C2×C22⋊C4C2412yes—
1151C2×C22⋊C4C2412yes—
1152C2×C22⋊C4C2412yes—
1153C2×C22⋊C4C2412yes—
1154C2×C22⋊C4C2412yes—
1155C2×C22⋊C4C2412yes—
1156C2×C22⋊C4C2411yescharacteristic
1157C2×C22⋊C4C2411yescharacteristic
1158C2×C22⋊C4C2412yes—
1159C2×C22⋊C4C2411yescharacteristic
1160C2×C22⋊C4C2412yes—
1161C2×C22⋊C4C2412yes—
1162C2×C22⋊C4C2414yes—
1163C2×C22⋊C4C2412yes—
1164C2×C22⋊C4C2414yes—
1165C2×C22⋊C4C2412yes—
1166C2×C22⋊C4C2412yes—
1167C2×C22⋊C4C2412yes—
1168C2×C22⋊C4C2412yes—
1169C2×C22⋊C4C2414yes—
1170C2×C22⋊C4C2412yes—
1171C2×C22⋊C4C2414yes—
1172C2×C22⋊C4C2414yes—
1173C2×C22⋊C4C2414yes—
1174C2×C22⋊C4C2414yes—
1175C2×C22⋊C4C2412yes—
1176C2×C22⋊C4C2412yes—
1177C2×C22⋊C4C2412yes—
1178C2×C22⋊C4C2412yes—
1179C2×C22⋊C4C2412yes—
1180C2×C22⋊C4C2412yes—
1181C2×C22⋊C4C2414yes—
1182C2×C22⋊C4C2412yes—
1183C2×C22⋊C4C2414yes—
1184C2×C22⋊C4C2412yes—
1185C2×C42—216no—
1186C2×C42—24no—
1187C2×C42—28no—
1188C2×C42—24no—
1189C2×C42—28no—
1190C2×C42C2414yes—
1191C2×C42C2412yes—
1192C2×C42C2411yescharacteristic
1193C2×C42C2414yes—
1194C2×C42C2412yes—
1195C2×C42C2412yes—
1196C2×C42C2411yescharacteristic
1197C2×C42C2414yes—
1198C2×C42C2414yes—
1199C2×C42C2411yescharacteristic
1200C2×C42C2412yes—
1201C2×C42C2414yes—
1202C2×C42C2412yes—
1203C2×C42C2411yescharacteristic
1204C2×C42C2411yescharacteristic
1205C2×C42C2412yes—
1206C2×C42C2412yes—
1207C2×C42C2411yescharacteristic
1208C2×C42C2411yescharacteristic
1209C2×C42C2412yes—
1210C2×C42C2411yescharacteristic
1211C2×C42C2412yes—
1212C2×C42C2411yescharacteristic
1213C2×C42C2411yescharacteristic
1214C2×C42C2412yes—
1215C2×C42C2411yescharacteristic
1216C2×C42C2414yes—
1217C2×C42C2412yes—
1218C2×C42C2414yes—
1219C2×C42C2414yes—
1220C2×C42C2412yes—
1221C2×C42C2411yescharacteristic
1222C2×C42C2414yes—
1223C2×C42C2411yescharacteristic
1224C2×C42C2412yes—
1225#95C2412yes—
1226#95C2414yes—
1227#95C2414yes—
1228#95C2414yes—
1229#95C2411yescharacteristic
1230#95C2411yescharacteristic
1231#95C2412yes—
1232#95C2412yes—
1233#95C2411yescharacteristic
1234#95C2412yes—
1235#95C2412yes—
1236#95C2412yes—
1237#95C2411yescharacteristic
1238#95C2412yes—
1239#95C2411yescharacteristic
1240#95C2412yes—
1241#95C2412yes—
1242#95C2411yescharacteristic
1243#95C2412yes—
1244#95C2412yes—
1245#95C2414yes—
1246#95C2414yes—
1247#95C2414yes—
1248#95C2414yes—
1249#95C2412yes—
1250#95C2412yes—
1251#95C2414yes—
1252#95C2414yes—
1253#95C2412yes—
1254#95C2414yes—
1255#95C2412yes—
1256#95C2412yes—
1257#95C2412yes—
1258#95C2412yes—
1259#95C2414yes—
1260#95C2414yes—
1261#95C2414yes—
1262#95C2412yes—
1263#95C2414yes—
1264#95C2412yes—
1265#95C2412yes—
1266#95C2414yes—
1267#95C2412yes—
1268#95C2414yes—
1269#95C2412yes—
1270#95C2412yes—
1271#95C2414yes—
1272#95C2412yes—
1273#95C2414yes—
1274#95C2414yes—
1275#95C2414yes—
1276#95C2412yes—
1277#95C2414yes—
1278#95C2414yes—
1279#95C2414yes—
1280#95C2414yes—
1281C24—24no—
1282C24—24no—
1283C24—24no—
1284C24—42no—
1285C24—42no—
1286C24—42no—
1287C24—42no—
1288C24C2512yes—
1289C24C2512yes—
1290C24C2511yescharacteristic
1291C24C2512yes—
1292C24C2511yescharacteristic
1293#41—416no—
1294#41—432no—
1295C2×Q8—22no—
1296C2×Q8—22no—
1297C2×Q8—28no—
1298C2×Q8—24no—
1299C2×Q8—24no—
1300C2×Q8—24no—
1301C2×Q8—22no—
1302C2×Q8—28no—
1303C2×Q8—24no—
1304C2×Q8—24no—
1305C2×Q8—24no—
1306C2×Q8—22no—
1307C2×Q8—24no—
1308C2×Q8—22no—
1309C2×Q8—22no—
1310C2×Q8—22no—
1311C2×Q8—24no—
1312C2×Q8—42no—
1313C2×Q8—44no—
1314C2×Q8—42no—
1315C2×Q8—42no—
1316C2×Q8—432no—
1317C2×Q8—416no—
1318C2×Q8C22×D418yes—
1319C2×Q8C22×D414yes—
1320C2×Q8C2×#4114yes—
1321C2×D4—24no—
1322C2×D4—24no—
1323C2×D4—22no—
1324C2×D4—24no—
1325C2×D4—24no—
1326C2×D4—24no—
1327C2×D4—28no—
1328C2×D4—24no—
1329C2×D4—22no—
1330C2×D4—24no—
1331C2×D4—24no—
1332C2×D4—28no—
1333C2×D4—22no—
1334C2×D4—24no—
1335C2×D4—28no—
1336C2×D4—22no—
1337C2×D4—24no—
1338C2×D4—22no—
1339C2×D4—22no—
1340C2×D4—22no—
1341C2×D4—22no—
1342C2×D4—22no—
1343C2×D4—42no—
1344C2×D4—42no—
1345C2×D4—41no—
1346C2×D4—42no—
1347C2×D4—42no—
1348C2×D4—44no—
1349C2×D4—42no—
1350C2×D4—44no—
1351C2×D4—44no—
1352C2×D4—416no—
1353C2×D4C22×D414yes—
1354C2×D42−1+414yes—
1355C22×C4—22no—
1356C22×C4—24no—
1357C22×C4—24no—
1358C22×C4—22no—
1359C22×C4—24no—
1360C22×C4—28no—
1361C22×C4—24no—
1362C22×C4—28no—
1363C22×C4—24no—
1364C22×C4—22no—
1365C22×C4—22no—
1366C22×C4—24no—
1367C22×C4—28no—
1368C22×C4—22no—
1369C22×C4—24no—
1370C22×C4—22no—
1371C22×C4—24no—
1372C22×C4—22no—
1373C22×C4—24no—
1374C22×C4—24no—
1375C22×C4—24no—
1376C22×C4—24no—
1377C22×C4—28no—
1378C22×C4—24no—
1379C22×C4—24no—
1380C22×C4—22no—
1381C22×C4—24no—
1382C22×C4—24no—
1383C22×C4—24no—
1384C22×C4—22no—
1385C22×C4—22no—
1386C22×C4—24no—
1387C22×C4—22no—
1388C22×C4—22no—
1389C22×C4—24no—
1390C22×C4—22no—
1391C22×C4—24no—
1392C22×C4—22no—
1393C22×C4—28no—
1394C22×C4—24no—
1395C22×C4—28no—
1396C22×C4—42no—
1397C22×C4—42no—
1398C22×C4—42no—
1399C22×C4—42no—
1400C22×C4—41no—
1401C22×C4—42no—
1402C22×C4—44no—
1403C22×C4—44no—
1404C22×C4—42no—
1405C22×C4—432no—
1406C22×C4—44no—
1407C22×C4—42no—
1408C22×C4—44no—
1409C22×C4—41no—
1410C22×C4—44no—
1411C22×C4—42no—
1412C22×C4—44no—
1413C22×C4—41no—
1414C22×C4C22×D418yes—
1415C22×C4C2×#4114yes—
1416C22×C4C2511yescharacteristic
1417C22×C4C2512yes—
1418C22×C4C2511yescharacteristic
1419C22×C4C2511yescharacteristic
1420C22×C4C2512yes—
1421C22×C4C2512yes—
1422C22×C4C2512yes—
1423C22×C4C2511yescharacteristic
1424C22×C4C2514yes—
1425C22×C4C2511yescharacteristic
1426C22×C4C2511yescharacteristic
1427C22×C4C2514yes—
1428C22×C4C2511yescharacteristic
1429C22×C4C2512yes—
1430C22×C4C2511yescharacteristic
1431C22×C4C2514yes—
1432C22×C4C2512yes—
1433C22×C4C2511yescharacteristic
1434C22×C4C2512yes—
1435C22×C4C2512yes—
1436C22×C4C2512yes—
1437C22×C4C2514yes—
1438C22×C4C2511yescharacteristic
1439C22×C4C2512yes—
1440C22×C4C2512yes—
1441C22×C4C2511yescharacteristic
1442C22×C4C2512yes—
1443C22×C4C2512yes—
1444C22×C4C2511yescharacteristic
1445C22×C4C2511yescharacteristic
1446C4⋊C4—22no—
1447C4⋊C4—24no—
1448C4⋊C4—24no—
1449C4⋊C4—28no—
1450C4⋊C4—28no—
1451C4⋊C4—22no—
1452C4⋊C4—24no—
1453C4⋊C4—24no—
1454C4⋊C4—22no—
1455C4⋊C4—24no—
1456C4⋊C4—24no—
1457C4⋊C4—24no—
1458C4⋊C4—28no—
1459C4⋊C4—24no—
1460C4⋊C4—28no—
1461C4⋊C4—24no—
1462C4⋊C4—28no—
1463C4⋊C4—24no—
1464C4⋊C4—28no—
1465C4⋊C4—28no—
1466C4⋊C4—24no—
1467C4⋊C4—28no—
1468C4⋊C4—24no—
1469C4⋊C4—28no—
1470C4⋊C4—24no—
1471C4⋊C4—28no—
1472C4⋊C4—22no—
1473C4⋊C4—28no—
1474C4⋊C4—28no—
1475C4⋊C4—28no—
1476C4⋊C4—24no—
1477C4⋊C4—28no—
1478C4⋊C4—28no—
1479C4⋊C4—24no—
1480C4⋊C4—28no—
1481C4⋊C4—28no—
1482C4⋊C4—28no—
1483C4⋊C4—22no—
1484C4⋊C4—24no—
1485C4⋊C4—22no—
1486C4⋊C4—24no—
1487C4⋊C4—22no—
1488C4⋊C4—22no—
1489C4⋊C4—44no—
1490C4⋊C4—44no—
1491C4⋊C4—42no—
1492C4⋊C4—42no—
1493C4⋊C4—42no—
1494C4⋊C4—42no—
1495C4⋊C4—42no—
1496C4⋊C4—42no—
1497C4⋊C4—41no—
1498C4⋊C4—44no—
1499C4⋊C4—41no—
1500C4⋊C4—44no—
1501C4⋊C4—44no—
1502C4⋊C4—42no—
1503C4⋊C4—44no—
1504C4⋊C4—42no—
1505C4⋊C4—42no—
1506C4⋊C4—44no—
1507C4⋊C4—44no—
1508C4⋊C4—44no—
1509C4⋊C4C22×D414yes—
1510C4⋊C4C22×D414yes—
1511C4⋊C4C22×D418yes—
1512C4⋊C4C22×D418yes—
1513C4⋊C4C22×D4116yes—
1514C4⋊C4C22×D418yes—
1515C4⋊C4C2×#4118yes—
1516C4⋊C4C2×#4114yes—
1517C22⋊C4—28no—
1518C22⋊C4—24no—
1519C22⋊C4—24no—
1520C22⋊C4—24no—
1521C22⋊C4—28no—
1522C22⋊C4—24no—
1523C22⋊C4—28no—
1524C22⋊C4—22no—
1525C22⋊C4—24no—
1526C22⋊C4—24no—
1527C22⋊C4—24no—
1528C22⋊C4—22no—
1529C22⋊C4—28no—
1530C22⋊C4—24no—
1531C22⋊C4—24no—
1532C22⋊C4—28no—
1533C22⋊C4—24no—
1534C22⋊C4—24no—
1535C22⋊C4—28no—
1536C22⋊C4—28no—
1537C22⋊C4—24no—
1538C22⋊C4—28no—
1539C22⋊C4—24no—
1540C22⋊C4—28no—
1541C22⋊C4—28no—
1542C22⋊C4—28no—
1543C22⋊C4—22no—
1544C22⋊C4—24no—
1545C22⋊C4—24no—
1546C22⋊C4—24no—
1547C22⋊C4—42no—
1548C22⋊C4—42no—
1549C22⋊C4—42no—
1550C22⋊C4—42no—
1551C22⋊C4—42no—
1552C22⋊C4—42no—
1553C22⋊C4—42no—
1554C22⋊C4—42no—
1555C22⋊C4—41no—
1556C22⋊C4—41no—
1557C22⋊C4—42no—
1558C22⋊C4—42no—
1559C22⋊C4—44no—
1560C22⋊C4—42no—
1561C22⋊C4—42no—
1562C22⋊C4—42no—
1563C22⋊C4—41no—
1564C22⋊C4—44no—
1565C22⋊C4—42no—
1566C22⋊C4—42no—
1567C22⋊C4—42no—
1568C22⋊C4—44no—
1569C22⋊C4—42no—
1570C22⋊C4—44no—
1571C22⋊C4—44no—
1572C22⋊C4—44no—
1573C22⋊C4—44no—
1574C22⋊C4C22×D4116yes—
1575C22⋊C4C22×D418yes—
1576C22⋊C4C22×D4116yes—
1577C22⋊C4C2×#4118yes—
1578C42—24no—
1579C42—22no—
1580C42—28no—
1581C42—28no—
1582C42—22no—
1583C42—24no—
1584C42—24no—
1585C42—22no—
1586C42—22no—
1587C42—24no—
1588C42—22no—
1589C42—24no—
1590C42—22no—
1591C42—28no—
1592C42—28no—
1593C42—28no—
1594C42—24no—
1595C42—24no—
1596C42—22no—
1597C42—22no—
1598C42—22no—
1599C42—24no—
1600C42—24no—
1601C42—22no—
1602C42—42no—
1603C42—41no—
1604C42—42no—
1605C42—44no—
1606C42—41no—
1607C42—44no—
1608C42—44no—
1609C42—42no—
1610C42C22×D414yes—
1611C42C22×D418yes—
1612C42C22×D4116yes—
1613C23—21no—
1614C23—21no—
1615C23—22no—
1616C23—22no—
1617C23—21no—
1618C23—22no—
1619C23—21no—
1620C23—21no—
1621C23—22no—
1622C23—22no—
1623C23—21no—
1624C23—21no—
1625C23—22no—
1626C23—21no—
1627C23—22no—
1628C23—21no—
1629C23—22no—
1630C23—22no—
1631C23—21no—
1632C23—22no—
1633C23—22no—
1634C23—21no—
1635C23—22no—
1636C23—21no—
1637C23—22no—
1638C23—22no—
1639C23—22no—
1640C23—22no—
1641C23—22no—
1642C23—22no—
1643C23—22no—
1644C23—48no—
1645C23—48no—
1646C23—48no—
1647C23—84no—
1648C23—84no—
1649C23—84no—
1650C23—84no—
1651C23C23×D414yes—
1652C23C22×#4112yes—
1653C23C2×2−1+414yes—
1654C23#58512yes—
1655C23C2611yescharacteristic
1656Q8—28no—
1657Q8—28no—
1658Q8—216no—
1659Q8—416no—
1660Q8—48no—
1661Q8—48no—
1662Q8—44no—
1663Q8—84no—
1664D4—28no—
1665D4—28no—
1666D4—48no—
1667D4—416no—
1668D4—48no—
1669D4—48no—
1670D4—48no—
1671D4—44no—
1672D4—48no—
1673D4—44no—
1674D4—88no—
1675C2×C4—21no—
1676C2×C4—22no—
1677C2×C4—22no—
1678C2×C4—22no—
1679C2×C4—24no—
1680C2×C4—22no—
1681C2×C4—22no—
1682C2×C4—24no—
1683C2×C4—22no—
1684C2×C4—21no—
1685C2×C4—22no—
1686C2×C4—22no—
1687C2×C4—21no—
1688C2×C4—22no—
1689C2×C4—22no—
1690C2×C4—21no—
1691C2×C4—28no—
1692C2×C4—216no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—22no—
1697C2×C4—22no—
1698C2×C4—22no—
1699C2×C4—24no—
1700C2×C4—22no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—24no—
1704C2×C4—22no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—24no—
1709C2×C4—24no—
1710C2×C4—22no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—22no—
1715C2×C4—22no—
1716C2×C4—22no—
1717C2×C4—21no—
1718C2×C4—21no—
1719C2×C4—21no—
1720C2×C4—22no—
1721C2×C4—22no—
1722C2×C4—22no—
1723C2×C4—21no—
1724C2×C4—21no—
1725C2×C4—21no—
1726C2×C4—22no—
1727C2×C4—22no—
1728C2×C4—24no—
1729C2×C4—21no—
1730C2×C4—22no—
1731C2×C4—24no—
1732C2×C4—21no—
1733C2×C4—24no—
1734C2×C4—22no—
1735C2×C4—22no—
1736C2×C4—21no—
1737C2×C4—22no—
1738C2×C4—24no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—22no—
1742C2×C4—22no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—22no—
1747C2×C4—21no—
1748C2×C4—22no—
1749C2×C4—22no—
1750C2×C4—22no—
1751C2×C4—21no—
1752C2×C4—24no—
1753C2×C4—48no—
1754C2×C4—48no—
1755C2×C4—48no—
1756C2×C4—48no—
1757C2×C4—44no—
1758C2×C4—48no—
1759C2×C4—48no—
1760C2×C4—416no—
1761C2×C4—416no—
1762C2×C4—48no—
1763C2×C4—44no—
1764C2×C4—44no—
1765C2×C4—44no—
1766C2×C4—48no—
1767C2×C4—84no—
1768C2×C4—88no—
1769C2×C4—82no—
1770C2×C4—88no—
1771C2×C4C23×D414yes—
1772C2×C4C23×D418yes—
1773C2×C4C23×D414yes—
1774C2×C4C23×D412yes—
1775C2×C4C23×D414yes—
1776C2×C4C23×D412yes—
1777C2×C4C23×D412yes—
1778C2×C4C22×#4114yes—
1779C2×C4C22×#4114yes—
1780C2×C4C22×#4112yes—
1781C2×C4C22×#4112yes—
1782C2×C4C2×2−1+412yes—
1783C2×C4#58512yes—
1784C2×C4#58512yes—
1785C22—22no—
1786C22—24no—
1787C22—22no—
1788C22—24no—
1789C22—22no—
1790C22—24no—
1791C22—24no—
1792C22—24no—
1793C22—22no—
1794C22—22no—
1795C22—24no—
1796C22—22no—
1797C22—41no—
1798C22—42no—
1799C22—42no—
1800C22—41no—
1801C22—42no—
1802C22—41no—
1803C22—41no—
1804C22—41no—
1805C22—42no—
1806C22—42no—
1807C22—41no—
1808C22—42no—
1809C22—42no—
1810C22—41no—
1811C22—41no—
1812C22—42no—
1813C22—42no—
1814C22—42no—
1815C22—42no—
1816C22—42no—
1817C22—42no—
1818C22—42no—
1819C22—42no—
1820C22—816no—
1821C22C24×D411yescharacteristic
1822C22C23×#4111yescharacteristic
1823C22C22×2−1+411yescharacteristic
1824C22C2×#58511yescharacteristic
1825C22C2×#58511yescharacteristic
1826C22C2×#58511yescharacteristic
1827C222−1+611yescharacteristic
1828C4—24no—
1829C4—22no—
1830C4—28no—
1831C4—24no—
1832C4—22no—
1833C4—24no—
1834C4—24no—
1835C4—24no—
1836C4—41no—
1837C4—41no—
1838C4—42no—
1839C4—41no—
1840C4—44no—
1841C4—42no—
1842C4—41no—
1843C4—42no—
1844C4—41no—
1845C4—42no—
1846C4—41no—
1847C4—42no—
1848C4—44no—
1849C4—41no—
1850C4—41no—
1851C4—42no—
1852C4—42no—
1853C4—42no—
1854C4—41no—
1855C4—44no—
1856C4D4×#4114yes—
1857C4#348914yes—
1858C2—42no—
1859C2—44no—
1860C2—44no—
1861C2—42no—
1862C2—82no—
1863C2C2×D4×#4111yescharacteristic
1864C2C2×#348911yescharacteristic
1865C2#6281611yescharacteristic
1866C2#6293911yescharacteristic
1867C2#6299811yescharacteristic
1868C2#6300211yescharacteristic
1869C2#6302311yescharacteristic
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×#3523C2semidirect
2. C2×#3475C2semidirect
3. #59418C2semidirect
4. #59416C2semidirect
5. #59187C2semidirect
6. #59073C2semidirect
7. #59067C2semidirect
8. #59044C2semidirect
9. #59040C2semidirect
10. #59005C2semidirect
11. #45416C2semidirect
12. #45185C2semidirect
13. #44784C2semidirect
14. #44351C2semidirect
15. #39955C2semidirect
16. #39878C2semidirect
17. #38958C2semidirect
18. #38922C2semidirect
19. #37739C2semidirect
20. #37671C2semidirect
21. #36562C2semidirect
22. #36544C2semidirect
23. #36505C2semidirect
24. #36431C2semidirect
25. #36234C2semidirect
26. #36151C2semidirect
27. #36114C2semidirect
28. D4×C22⋊Q8C2semidirect
29. #35985C2semidirect
30. #35736C2semidirect
31. #34720C2semidirect
32. #34700C2semidirect
33. #34322C2semidirect
34. #34203C2semidirect
35. C4×#548C2semidirect
37. C2×#557C22semidirect
38. C2×#557C22semidirect
39. C2×#557C22semidirect
48. C2×#552C22semidirect
49. C2×#552C22semidirect
52. C2×D4×Q8C22semidirect
56. C2×#541C22semidirect
57. C2×#541C22semidirect
59. C2×#533C22semidirect
60. C2×#533C22semidirect
67. C2×#519C22semidirect
70. C22×C4×Q8C22semidirect
73. #2862C22semidirect
74. #2859C22semidirect
76. #2857C22semidirect
77. #2851C22semidirect
78. #2851C22semidirect
79. #2851C22semidirect
81. #2726C22semidirect
82. #2722C22semidirect
84. #2719C22semidirect
85. #2715C22semidirect
86. #2713C22semidirect
88. #2707C22semidirect
89. #2704C22semidirect
90. #2700C22semidirect
91. #2700C22semidirect
92. #2698C22semidirect
95. #2694C22semidirect
101. #2672C22semidirect
102. #2664C22semidirect
103. #2637C22semidirect
104. #2624C22semidirect
105. #2620C22semidirect
108. #2604C22semidirect
109. #2601C22semidirect
110. #2584C22semidirect
112. #2580C22semidirect
113. #2567C22semidirect
114. #2567C22semidirect
116. #2566C22semidirect
117. #2565C22semidirect
120. #2558C22semidirect
121. #2556C22semidirect
122. #2556C22semidirect
124. #2553C22semidirect
125. #2552C22semidirect
126. #2547C22semidirect
128. #2540C22semidirect
130. #2538C22semidirect
131. #2538C22semidirect
135. #2499C22semidirect
136. #2496C22semidirect
137. #2490C22semidirect
139. #2489C22semidirect
140. #2485C22semidirect
143. #2478C22semidirect
144. #2477C22semidirect
147. #2475C22semidirect
148. #2475C22semidirect
150. #2471C22semidirect
151. #2470C22semidirect
152. #2470C22semidirect
153. #2470C22semidirect
155. #2468C22semidirect
156. #2466C22semidirect
157. #2466C22semidirect
158. #2465C22semidirect
160. #2463C22semidirect
161. #2462C22semidirect
163. #2460C22semidirect
167. #2454C22semidirect
168. #2453C22semidirect
169. #2453C22semidirect
170. #2453C22semidirect
172. #2452C22semidirect
174. #2449C22semidirect
175. #2449C22semidirect
177. #2446C22semidirect
178. #2446C22semidirect
180. #2442C22semidirect
182. #2441C22semidirect
183. #2441C22semidirect
185. #2439C22semidirect
186. #2439C22semidirect
187. #2439C22semidirect
189. #2436C22semidirect
194. #2429C22semidirect
195. #2429C22semidirect
196. #2429C22semidirect
199. #2426C22semidirect
200. #2426C22semidirect
203. #2423C22semidirect
204. #2423C22semidirect
205. #2422C22semidirect
207. #2421C22semidirect
208. #2421C22semidirect
216. #2417C22semidirect
217. #2416C22semidirect
220. #2415C22semidirect
222. #2409C22semidirect
225. #2398C22semidirect
228. #2392C22semidirect
229. #2373C22semidirect
232. #2367C22semidirect
233. #2367C22semidirect
234. #2365C22semidirect
239. #2362C22semidirect
240. #2362C22semidirect
242. #2361C22semidirect
243. #2361C22semidirect
244. #2360C22semidirect
245. #2360C22semidirect
246. #2360C22semidirect
247. #2360C22semidirect
248. #2360C22semidirect
249. #2360C22semidirect
250. #2355C22semidirect
252. #2352C22semidirect
253. #2351C22semidirect
254. #2351C22semidirect
255. #2351C22semidirect
256. Q8×C4⋊C4C22semidirect
259. D4×C4⋊C4C22semidirect
260. #2346C22semidirect
261. #2344C22semidirect
262. #2344C22semidirect
268. Q8×C22⋊C4C22semidirect
270. #2334C22semidirect
273. #2323C22semidirect
274. #2316C22semidirect
275. #2310C22semidirect
276. C4×C4⋊Q8C22semidirect
281. C4×#124C22semidirect
284. C4×C22⋊Q8C22semidirect
285. C4×C22⋊Q8C22semidirect
286. C4×C22⋊Q8C22semidirect
287. C4×C22⋊Q8C22semidirect
291. C4×#121C22semidirect
293. #2295C22semidirect
295. #2290C22semidirect
297. #2274C22semidirect
298. C42×Q8C22semidirect
300. C42×D4C22semidirect
311. #556D4semidirect
967. C22⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35232
C2×#34752
#594182
#594162
#591872
#590732
#590672
#590442
#590402
#590052
#454162
#451852
#447842
#443512
#399552
#398782
#389582
#389222
#377392
#376712
#365622
#365442
#365052
#364312
#362342
#361512
#361142
D4×C22⋊Q82
#359852
#357362
#347202
#347002
#343222
#342032
C4×#5482