Finite Group Databasebeta

← #7681572

Subgroups — #7681572

Order 512.

7240 conjugacy classes of subgroups.

The subgroup lattice has 2154 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3524C211yesmaximal, characteristic, complemented
2C2×#3517C211yesmaximal, characteristic, complemented
3#59185C214yesmaximal, complemented
4#59182C214yesmaximal, complemented
5#59163C214yesmaximal, complemented
6#59159C214yesmaximal, complemented
7#43920C214yesmaximal, complemented
8#43915C214yesmaximal, complemented
9#43902C214yesmaximal, complemented
10#43900C214yesmaximal, complemented
11#39745C211yesmaximal, characteristic, complemented
12#39612C211yesmaximal, characteristic, complemented
13#39174C211yesmaximal, characteristic, complemented
14#39164C211yesmaximal, characteristic, complemented
15#38093C211yesmaximal, characteristic, complemented
16#38089C211yesmaximal, characteristic, complemented
17#38089C211yesmaximal, characteristic, complemented
18#38079C211yesmaximal, characteristic, complemented
19#37869C211yesmaximal, characteristic, complemented
20#37864C211yesmaximal, characteristic, complemented
21#37683C211yesmaximal, characteristic, complemented
22#37683C211yesmaximal, characteristic, complemented
23#36412C211yesmaximal, characteristic, complemented
24#36396C211yesmaximal, characteristic, complemented
25#36184C211yesmaximal, characteristic, complemented
26#36128C211yesmaximal, characteristic, complemented
27#35678C211yesmaximal, characteristic, complemented
28#35535C211yesmaximal, characteristic, complemented
29#35534C211yesmaximal, characteristic, complemented
30#35534C211yesmaximal, characteristic, complemented
31#35303C211yesmaximal, characteristic, complemented
32#35278C211yesmaximal, characteristic, complemented
33#35276C211yesmaximal, characteristic, complemented
34#34977C211yesmaximal, characteristic, complemented
35#34910C211yesmaximal, characteristic, complemented
36#34276C211yesmaximal, characteristic, complemented
37#34208C211yesmaximal, characteristic, complemented
38#34149C211yesmaximal, characteristic, complemented
39#34070C211yesmaximal, characteristic, complemented
40#3524—216no—
41#3517—216no—
42C2×#559C2211yescharacteristic
43C2×#559C2212yes—
44C2×#557C2211yescharacteristic
45C2×#557C2211yescharacteristic
46C2×#555C2212yes—
47C2×#555C2211yescharacteristic
48C2×#553C2212yes—
49C2×#553C2211yescharacteristic
50C2×#553C2212yes—
51C2×#553C2211yescharacteristic
52C2×#553C2212yes—
53C2×#553C2211yescharacteristic
54C2×#552C2212yes—
55C2×#552C2211yescharacteristic
56C2×#550C2211yescharacteristic
57C2×#550C2211yescharacteristic
58C2×#550C2211yescharacteristic
59C2×#550C2211yescharacteristic
60C2×#550C2211yescharacteristic
61C2×#550C2212yes—
62C2×#548C2211yescharacteristic
63C2×#548C2211yescharacteristic
64C2×#547C2212yes—
65C2×#547C2211yescharacteristic
66C2×#542C2212yes—
67C2×#542C2211yescharacteristic
68C2×#540C2211yescharacteristic
69C2×#540C2212yes—
70C2×#540C2212yes—
71C2×#540C2211yescharacteristic
72C2×#540C2212yes—
73C2×#540C2211yescharacteristic
74C2×#536C2211yescharacteristic
75C2×#532C2211yescharacteristic
76C2×#532C2211yescharacteristic
77C2×#532C2212yes—
78C2×#532C2211yescharacteristic
79C2×#529C2212yes—
80C2×#529C2212yes—
81C2×#529C2212yes—
82C2×#529C2211yescharacteristic
83C2×#529C2211yescharacteristic
84C2×#520C2211yescharacteristic
85C2×#520C2211yescharacteristic
86C2×#520C2211yescharacteristic
87C2×#519C2211yescharacteristic
88C2×C4×#41C2211yescharacteristic
89C2×C4×#41C2211yescharacteristic
90#2867C2211yescharacteristic
91#2861C2211yescharacteristic
92#2859C2211yescharacteristic
93#2858C2211yescharacteristic
94#2856C2211yescharacteristic
95#2856C2211yescharacteristic
96#2856C2211yescharacteristic
97#2856C2211yescharacteristic
98#2856C2211yescharacteristic
99#2850C2211yescharacteristic
100#2850C2211yescharacteristic
101#2850C2211yescharacteristic
102#2734C2214yes—
103#2731C2214yes—
104#2726C2214yes—
105#2723C2214yes—
106#2711C2214yes—
107#2711C2214yes—
108#2710C2214yes—
109#2709C2214yes—
110#2707C2214yes—
111#2706C2214yes—
112#2692C2214yes—
113#2691C2214yes—
114#2676C2214yes—
115#2676C2214yes—
116#2673C2214yes—
117#2673C2214yes—
118#2673C2214yes—
119#2673C2214yes—
120#2673C2214yes—
121#2673C2214yes—
122#2672C2214yes—
123#2671C2214yes—
124#2671C2214yes—
125#2671C2214yes—
126#2660C2211yescharacteristic
127#2660C2211yescharacteristic
128#2657C2211yescharacteristic
129#2657C2211yescharacteristic
130#2641C2211yescharacteristic
131#2641C2211yescharacteristic
132#2641C2211yescharacteristic
133#2640C2211yescharacteristic
134#2620C2211yescharacteristic
135#2619C2211yescharacteristic
136#2619C2211yescharacteristic
137#2619C2211yescharacteristic
138#2610C2214yes—
139#2610C2214yes—
140#2603C2214yes—
141#2602C2214yes—
142#2601C2214yes—
143#2567C2211yescharacteristic
144#2567C2211yescharacteristic
145#2566C2211yescharacteristic
146#2566C2211yescharacteristic
147#2566C2211yescharacteristic
148#2565C2211yescharacteristic
149#2565C2211yescharacteristic
150#2565C2211yescharacteristic
151#2565C2211yescharacteristic
152#2565C2211yescharacteristic
153#2563C2211yescharacteristic
154#2560C2214yes—
155#2557C2214yes—
156#2555C2214yes—
157#2555C2214yes—
158#2555C2214yes—
159#2554C2214yes—
160#2553C2214yes—
161#2548C2211yescharacteristic
162#2548C2211yescharacteristic
163#2548C2211yescharacteristic
164#2548C2211yescharacteristic
165#2548C2211yescharacteristic
166#2545C2211yescharacteristic
167#2545C2211yescharacteristic
168#2544C2211yescharacteristic
169#2544C2211yescharacteristic
170#2543C2214yes—
171#2543C2214yes—
172#2542C2211yescharacteristic
173#2541C2214yes—
174#2541C2211yescharacteristic
175#2541C2211yescharacteristic
176#2541C2211yescharacteristic
177#2519C2214yes—
178#2504C2211yescharacteristic
179#2504C2211yescharacteristic
180#2502C2211yescharacteristic
181#2501C2211yescharacteristic
182#2501C2211yescharacteristic
183#2501C2211yescharacteristic
184#2500C2211yescharacteristic
185#2500C2211yescharacteristic
186#2500C2211yescharacteristic
187#2500C2211yescharacteristic
188#2500C2211yescharacteristic
189#2499C2211yescharacteristic
190#2479C2214yes—
191#2479C2214yes—
192#2476C2214yes—
193#2476C2214yes—
194#2476C2214yes—
195#2471C2214yes—
196#2471C2214yes—
197#2467C2214yes—
198#2467C2214yes—
199#2464C2214yes—
200#2464C2214yes—
201#2464C2214yes—
202#2464C2214yes—
203#2464C2214yes—
204#2463C2214yes—
205#2463C2214yes—
206#2462C2214yes—
207#2462C2214yes—
208#2461C2214yes—
209#2461C2214yes—
210#2461C2214yes—
211#2460C2214yes—
212#2460C2214yes—
213#2458C2214yes—
214#2458C2214yes—
215#2458C2214yes—
216#2456C2214yes—
217#2456C2214yes—
218#2456C2214yes—
219#2456C2214yes—
220#2455C2214yes—
221#2449C2214yes—
222#2445C2214yes—
223#2445C2214yes—
224#2443C2214yes—
225#2443C2214yes—
226#2436C2211yescharacteristic
227#2436C2211yescharacteristic
228#2432C2214yes—
229#2432C2211yescharacteristic
230#2432C2211yescharacteristic
231#2431C2211yescharacteristic
232#2431C2211yescharacteristic
233#2431C2211yescharacteristic
234#2431C2211yescharacteristic
235#2431C2214yes—
236#2431C2211yescharacteristic
237#2431C2211yescharacteristic
238#2431C2211yescharacteristic
239#2431C2211yescharacteristic
240#2430C2214yes—
241#2430C2214yes—
242#2430C2214yes—
243#2428C2214yes—
244#2428C2214yes—
245#2428C2214yes—
246#2428C2214yes—
247#2428C2214yes—
248#2428C2214yes—
249#2426C2214yes—
250#2425C2214yes—
251#2425C2214yes—
252#2425C2214yes—
253#2414C2214yes—
254#2392C2214yes—
255#2388C2214yes—
256#2373C2212yes—
257#2373C2212yes—
258#2372C2212yes—
259#2371C2212yes—
260#2368C2212yes—
261#2366C2214yes—
262#2364C2214yes—
263#2364C2214yes—
264#2364C2214yes—
265#2364C2212yes—
266#2363C2214yes—
267#2362C2214yes—
268#2360C2214yes—
269#2359C2214yes—
270#2359C2214yes—
271#2359C2214yes—
272#2359C2212yes—
273#2359C2212yes—
274#2352C2214yes—
275#2352C2214yes—
276#2328C2211yescharacteristic
277#2328C2211yescharacteristic
278#2328C2211yescharacteristic
279#2328C2211yescharacteristic
280#2328C2211yescharacteristic
281#2327C2211yescharacteristic
282#2327C2211yescharacteristic
283#2327C2211yescharacteristic
284#2327C2211yescharacteristic
285#2326C2211yescharacteristic
286#2326C2211yescharacteristic
287#2326C2211yescharacteristic
288#2326C2211yescharacteristic
289#2326C2211yescharacteristic
290#2326C2211yescharacteristic
291#2326C2211yescharacteristic
292#2325C2214yes—
293#2325C2214yes—
294#2317C2211yescharacteristic
295#2311C2211yescharacteristic
296#2311C2211yescharacteristic
297C4×C4⋊Q8C2211yescharacteristic
298C4×C4⋊Q8C2211yescharacteristic
299C4×#127C2211yescharacteristic
300C4×#127C2211yescharacteristic
301C4×#127C2211yescharacteristic
302C4×#124C2211yescharacteristic
303C4×#124C2211yescharacteristic
304C4×#124C2211yescharacteristic
305C4×#124C2211yescharacteristic
306C4×#124C2211yescharacteristic
307C4×#124C2211yescharacteristic
308C4×#124C2211yescharacteristic
309C4×#121C2214yes—
310#2298C2211yescharacteristic
311#2298C2211yescharacteristic
312#2297C2211yescharacteristic
313#2297C2211yescharacteristic
314#2297C2211yescharacteristic
315#2295C2211yescharacteristic
316#2295C2211yescharacteristic
317C2×#391C2211yescharacteristic
318#2290C2214yes—
319#2290C2214yes—
320#2290C2214yes—
321#2290C2211yescharacteristic
322#2290C2211yescharacteristic
323#2290C2211yescharacteristic
324#2290C2211yescharacteristic
325#2285C2211yescharacteristic
326C2×#382C2211yescharacteristic
327C42×D4C2211yescharacteristic
328C42×D4C2211yescharacteristic
329C4×#117C2211yescharacteristic
330C4×#117C2211yescharacteristic
331C4×#117C2211yescharacteristic
332C2×#376C2211yescharacteristic
333C22×#41C2311yescharacteristic
334C22×#41C2311yescharacteristic
335C22×#41C2311yescharacteristic
336C22×#41C2311yescharacteristic
337C22×#41C2311yescharacteristic
338C22×#41C2312yes—
339C22×#41C2312yes—
340C22×#41C2312yes—
341C23×Q8C2311yescharacteristic
342#559—216no—
343#559—28no—
344#557—28no—
345#557—28no—
346#555—216no—
347#555—28no—
348#553—216no—
349#553—216no—
350#553—216no—
351#553—28no—
352#553—28no—
353#553—28no—
354#552—216no—
355#552—28no—
356#550—216no—
357#550—28no—
358#550—28no—
359#550—28no—
360#550—28no—
361#550—28no—
362#548—28no—
363#548—28no—
364#547—216no—
365#547—28no—
366#542—216no—
367#542—28no—
368#540—216no—
369#540—216no—
370#540—216no—
371#540—28no—
372#540—28no—
373#540—28no—
374#536—28no—
375#532—28no—
376#532—28no—
377#532—216no—
378#532—28no—
379C2×C4⋊Q8C2311yescharacteristic
380C2×C4⋊Q8C2311yescharacteristic
381C2×C4⋊Q8C2311yescharacteristic
382C2×C4⋊Q8C2312yes—
383C2×C4⋊Q8C2312yes—
384C2×C4⋊Q8C2311yescharacteristic
385C2×#127C2311yescharacteristic
386C2×#127C2311yescharacteristic
387C2×#127C2311yescharacteristic
388C2×#127C2311yescharacteristic
389C2×#127C2311yescharacteristic
390C2×#127C2311yescharacteristic
391C2×#127C2312yes—
392C2×#127C2312yes—
393C2×#127C2312yes—
394C2×#127C2312yes—
395C2×#127C2311yescharacteristic
396C2×#127C2311yescharacteristic
397C2×#127C2311yescharacteristic
398C2×#127C2311yescharacteristic
399C2×#127C2314yes—
400C2×#127C2314yes—
401#529—216no—
402#529—216no—
403#529—216no—
404#529—28no—
405#529D4116yescomplemented
406C2×#126C2312yes—
407C2×#126C2312yes—
408C2×#126C2312yes—
409C2×#126C2312yes—
410C2×#126C2312yes—
411C2×#126C2312yes—
412C2×#126C2311yescharacteristic
413C2×#126C2311yescharacteristic
414C2×#125C2311yescharacteristic
415C2×#125C2311yescharacteristic
416C2×#125C2311yescharacteristic
417C2×#125C2311yescharacteristic
418C2×#125C2312yes—
419C2×#125C2312yes—
420C2×#125C2312yes—
421C2×#125C2312yes—
422C2×#125C2312yes—
423C2×#125C2311yescharacteristic
424C2×#124C2311yescharacteristic
425C2×#124C2311yescharacteristic
426C2×#124C2311yescharacteristic
427C2×#124C2311yescharacteristic
428C2×#124C2311yescharacteristic
429C2×#124C2312yes—
430C2×#124C2311yescharacteristic
431C2×#124C2312yes—
432C2×#124C2312yes—
433C2×#124C2312yes—
434C2×#124C2311yescharacteristic
435C2×#124C2311yescharacteristic
436C2×#124C2312yes—
437C2×#124C2312yes—
438C2×#124C2312yes—
439C2×#124C2311yescharacteristic
440C2×#124C2311yescharacteristic
441C2×#124C2314yes—
442C2×#124C2311yescharacteristic
443C2×#123C2312yes—
444C2×#123C2314yes—
445C2×#123C2312yes—
446C2×#123C2312yes—
447C2×#123C2312yes—
448C2×#123C2312yes—
449C2×#123C2312yes—
450C2×#123C2312yes—
451C2×#123C2312yes—
452C2×#123C2312yes—
453C2×#123C2312yes—
454C2×#123C2312yes—
455C2×#123C2312yes—
456C2×#123C2312yes—
457C2×#123C2312yes—
458C2×#123C2312yes—
459C2×#123C2312yes—
460C2×#123C2314yes—
461C2×#123C2314yes—
462C2×#123C2314yes—
463C2×#123C2311yescharacteristic
464C2×#123C2311yescharacteristic
465C2×C22⋊Q8C2312yes—
466C2×C22⋊Q8C2311yescharacteristic
467C2×C22⋊Q8C2311yescharacteristic
468C2×C22⋊Q8C2314yes—
469C2×C22⋊Q8C2312yes—
470C2×C22⋊Q8C2312yes—
471C2×C22⋊Q8C2312yes—
472C2×C22⋊Q8C2314yes—
473C2×C22⋊Q8C2311yescharacteristic
474C2×#121C2314yes—
475C2×#121C2311yescharacteristic
476C2×#121C2311yescharacteristic
477C2×#121C2311yescharacteristic
478C2×#121C2311yescharacteristic
479C2×#121C2311yescharacteristic
480C2×#121C2311yescharacteristic
481C2×#121C2311yescharacteristic
482C2×#121C2311yescharacteristic
483C2×#121C2311yescharacteristic
484C2×#121C2311yescharacteristic
485C2×#121C2314yes—
486C2×#121C2312yes—
487C2×#121C2312yes—
488C2×#121C2312yes—
489C2×#121C2312yes—
490C2×#121C2312yes—
491C2×#121C2312yes—
492C2×#121C2312yes—
493C2×#121C2312yes—
494C2×#121C2312yes—
495C2×#121C2312yes—
496C2×#121C2312yes—
497C2×#121C2312yes—
498C2×#121C2312yes—
499C2×#121C2312yes—
500C2×#121C2312yes—
501C2×#121C2312yes—
502C2×#121C2312yes—
503C2×#121C2312yes—
504C2×#121C2312yes—
505C2×#121C2312yes—
506C2×#121C2312yes—
507C2×#121C2312yes—
508C2×#121C2312yes—
509C2×#121C2312yes—
510C2×#121C2314yes—
511C2×#121C2314yes—
512C2×#121C2314yes—
513C2×#121C2314yes—
514C2×#121C2314yes—
515C2×#121C2314yes—
516C2×#121C2314yes—
517C2×#121C2314yes—
518C2×#121C2311yescharacteristic
519#520—28no—
520#520—28no—
521#520—28no—
522#519—28no—
523C4×#41—28no—
524C4×#41—28no—
525C2×C4×Q8C2311yescharacteristic
526C2×C4×Q8C2311yescharacteristic
527C2×C4×Q8C2311yescharacteristic
528C2×C4×Q8C2311yescharacteristic
529C2×C4×Q8C2311yescharacteristic
530C2×C4×Q8C2311yescharacteristic
531C2×C4×Q8C2311yescharacteristic
532C2×C4×Q8C2311yescharacteristic
533C2×C4×Q8C2311yescharacteristic
534C2×C4×Q8C2311yescharacteristic
535C2×C4×Q8C2312yes—
536C2×C4×Q8C2312yes—
537C2×C4×Q8C2312yes—
538C2×C4×Q8C2312yes—
539C2×C4×Q8C2311yescharacteristic
540C2×C4×D4C2311yescharacteristic
541C2×C4×D4C2311yescharacteristic
542C2×C4×D4C2311yescharacteristic
543C2×C4×D4C2311yescharacteristic
544C2×C4×D4C2311yescharacteristic
545C2×C4×D4C2311yescharacteristic
546C2×C4×D4C2311yescharacteristic
547C2×C4×D4C2311yescharacteristic
548C2×C4×D4C2311yescharacteristic
549C2×C4×D4C2312yes—
550C2×C4×D4C2312yes—
551C2×C4×D4C2312yes—
552C2×C4×D4C2312yes—
553C2×C4×D4C2311yescharacteristic
554C2×C4×D4C2312yes—
555C2×C4×D4C2314yes—
556C2×C4×D4C2312yes—
557C2×C4×D4C2312yes—
558C2×C4×D4C2312yes—
559C2×C4×D4C2312yes—
560C2×C4×D4C2312yes—
561C2×C4×D4C2312yes—
562C2×C4×D4C2312yes—
563C2×C4×D4C2312yes—
564C2×C4×D4C2312yes—
565C2×C4×D4C2312yes—
566C2×C4×D4C2312yes—
567C2×C4×D4C2312yes—
568C2×C4×D4C2314yes—
569C2×C4×D4C2312yes—
570C2×C4×D4C2312yes—
571C2×C4×D4C2312yes—
572C2×C4×D4C2312yes—
573C2×C4×D4C2312yes—
574C2×C4×D4C2314yes—
575C2×C4×D4C2312yes—
576C2×C4×D4C2312yes—
577C2×C4×D4C2314yes—
578C2×C4×D4C2314yes—
579C2×C4×D4C2311yescharacteristic
580C2×C4×D4C2311yescharacteristic
581C2×C4×D4C2311yescharacteristic
582C2×#117C2311yescharacteristic
583C2×#117C2311yescharacteristic
584C2×#117C2312yes—
585C2×#117C2312yes—
586C2×#117C2312yes—
587C2×#117C2312yes—
588C2×#117C2312yes—
589C2×#117C2312yes—
590C2×#117C2312yes—
591C2×#117C2312yes—
592C2×#117C2312yes—
593C2×#117C2312yes—
594C2×#117C2311yescharacteristic
595C2×#117C2311yescharacteristic
596C2×#117C2311yescharacteristic
597C2×#117C2312yes—
598C2×#117C2311yescharacteristic
599C2×#117C2311yescharacteristic
600C22×C4⋊C4C2311yescharacteristic
601C22×C4⋊C4C2311yescharacteristic
602C22×C4⋊C4C2311yescharacteristic
603C22×C4⋊C4C2312yes—
604C22×C4⋊C4C2312yes—
605C22×C4⋊C4C2312yes—
606C22×C42C2311yescharacteristic
607C22×C42C2311yescharacteristic
608C22×C42C2312yes—
609C22×C42C2312yes—
610C22×C42C2311yescharacteristic
611C22×C42C2311yescharacteristic
612C22×C42C2311yescharacteristic
613#399C2314yes—
614#399C2314yes—
615#399C2314yes—
616#399C2314yes—
617#398C2314yes—
618#398C2314yes—
619#398C2314yes—
620#398C2314yes—
621#398C2314yes—
622#398C2314yes—
623#398C2314yes—
624#398C2314yes—
625#397C2314yes—
626#397C2314yes—
627#397C2314yes—
628#397C2314yes—
629#396C2314yes—
630#396C2314yes—
631#396C2314yes—
632#396C2314yes—
633#396C2314yes—
634#396C2314yes—
635#395C2314yes—
636#395C2314yes—
637#395C2314yes—
638#395C2314yes—
639#394C2314yes—
640#394C2314yes—
641#394C2314yes—
642#394C2314yes—
643#394C2314yes—
644#394C2314yes—
645#394C2314yes—
646#394C2314yes—
647#394C2314yes—
648#394C2314yes—
649#394C2314yes—
650#394C2314yes—
651#394C2314yes—
652#394C2314yes—
653#394C2314yes—
654#394C2314yes—
655#394C2314yes—
656#394C2314yes—
657#394C2314yes—
658#394C2314yes—
659#394C2314yes—
660#394C2314yes—
661#394C2314yes—
662#394C2314yes—
663#393C2314yes—
664#393C2314yes—
665#393C2314yes—
666#393C2314yes—
667#392C2314yes—
668#392C2314yes—
669#392C2314yes—
670#392C2314yes—
671#392C2314yes—
672#392C2314yes—
673#392C2314yes—
674#392C2314yes—
675#392C2314yes—
676#392C2314yes—
677#392C2314yes—
678#392C2314yes—
679#392C2314yes—
680#392C2314yes—
681#392C2314yes—
682#392C2314yes—
683#392C2314yes—
684#392C2314yes—
685#391C2314yes—
686#391C2311yescharacteristic
687#391C2311yescharacteristic
688#391C2311yescharacteristic
689#391C2311yescharacteristic
690#391C2311yescharacteristic
691#391C2311yescharacteristic
692#391C2311yescharacteristic
693#391C2311yescharacteristic
694#391C2311yescharacteristic
695#391C2311yescharacteristic
696#391C2311yescharacteristic
697#391C2311yescharacteristic
698#391C2312yes—
699#391C2312yes—
700#390C2314yes—
701#390C2311yescharacteristic
702#390C2311yescharacteristic
703#390C2311yescharacteristic
704#390C2311yescharacteristic
705#390C2311yescharacteristic
706#390C2314yes—
707#390C2314yes—
708#390C2314yes—
709#390C2311yescharacteristic
710#390C2311yescharacteristic
711#390C2311yescharacteristic
712#390C2311yescharacteristic
713#390C2311yescharacteristic
714#390C2311yescharacteristic
715#390C2311yescharacteristic
716#390C2311yescharacteristic
717#390C2311yescharacteristic
718#390C2311yescharacteristic
719#390C2311yescharacteristic
720#390C2311yescharacteristic
721#390C2311yescharacteristic
722#390C2311yescharacteristic
723#390C2314yes—
724#390C2314yes—
725#390C2314yes—
726#390C2314yes—
727#390C2314yes—
728#390C2314yes—
729#390C2314yes—
730#390C2314yes—
731#390C2314yes—
732#390C2314yes—
733#390C2311yescharacteristic
734#389C2314yes—
735#389C2314yes—
736#389C2314yes—
737#389C2314yes—
738#389C2314yes—
739#389C2314yes—
740#389C2314yes—
741#389C2312yes—
742#389C2312yes—
743#388C2314yes—
744#388C2314yes—
745#388C2314yes—
746#388C2314yes—
747#388C2314yes—
748#388C2314yes—
749#388C2314yes—
750#388C2314yes—
751#388C2314yes—
752#388C2314yes—
753#388C2314yes—
754#388C2314yes—
755#388C2314yes—
756#388C2314yes—
757#388C2314yes—
758#388C2314yes—
759#388C2314yes—
760#388C2314yes—
761#388C2314yes—
762#388C2314yes—
763#388C2314yes—
764#388C2314yes—
765#388C2314yes—
766#388C2312yes—
767#388C2312yes—
768#388C2312yes—
769#388C2312yes—
770#388C2314yes—
771#388C2312yes—
772#388C2312yes—
773#388C2312yes—
774#388C2312yes—
775#388C2314yes—
776#388C2314yes—
777#387C2314yes—
778#387C2314yes—
779#387C2314yes—
780#387C2314yes—
781#387C2314yes—
782#387C2314yes—
783#387C2314yes—
784#387C2314yes—
785#387C2314yes—
786#387C2314yes—
787#387C2314yes—
788#387C2314yes—
789#387C2314yes—
790#387C2314yes—
791#387C2312yes—
792#387C2312yes—
793#387C2312yes—
794#387C2312yes—
795#387C2312yes—
796#387C2312yes—
797#387C2312yes—
798#387C2312yes—
799#387C2312yes—
800#387C2312yes—
801#387C2312yes—
802#387C2312yes—
803#386C2314yes—
804#386C2314yes—
805#386C2314yes—
806#386C2314yes—
807#386C2314yes—
808#386C2314yes—
809#386C2314yes—
810#386C2314yes—
811#386C2314yes—
812#386C2314yes—
813#386C2314yes—
814#386C2314yes—
815#386C2314yes—
816#386C2314yes—
817#386C2314yes—
818#386C2314yes—
819#386C2314yes—
820#386C2314yes—
821#386C2314yes—
822#386C2314yes—
823#386C2314yes—
824#386C2314yes—
825#386C2312yes—
826#386C2312yes—
827#386C2314yes—
828#386C2312yes—
829#386C2312yes—
830#386C2314yes—
831#386C2314yes—
832#386C2314yes—
833#386C2314yes—
834#386C2314yes—
835#386C2314yes—
836#386C2314yes—
837#386C2314yes—
838#386C2314yes—
839#385C2314yes—
840#385C2314yes—
841#385C2314yes—
842#385C2314yes—
843#385C2314yes—
844#385C2314yes—
845#385C2314yes—
846#385C2314yes—
847#385C2314yes—
848#385C2314yes—
849#385C2314yes—
850#385C2314yes—
851#385C2312yes—
852#385C2312yes—
853#385C2312yes—
854#385C2312yes—
855#385C2314yes—
856#385C2314yes—
857#384C2311yescharacteristic
858#384C2311yescharacteristic
859#384C2311yescharacteristic
860#384C2311yescharacteristic
861#384C2311yescharacteristic
862#384C2311yescharacteristic
863#384C2311yescharacteristic
864#384C2311yescharacteristic
865#382C2311yescharacteristic
866#382C2311yescharacteristic
867#382C2311yescharacteristic
868#382C2311yescharacteristic
869#382C2311yescharacteristic
870#382C2311yescharacteristic
871#382C2311yescharacteristic
872#382C2311yescharacteristic
873#382C2314yes—
874#380C2314yes—
875#380C2314yes—
876#380C2314yes—
877#380C2314yes—
878C4×C4⋊C4C2312yes—
879C4×C4⋊C4C2314yes—
880C4×C4⋊C4C2314yes—
881C4×C4⋊C4C2311yescharacteristic
882C4×C4⋊C4C2311yescharacteristic
883C4×C4⋊C4C2311yescharacteristic
884C4×C4⋊C4C2311yescharacteristic
885C4×C4⋊C4C2311yescharacteristic
886C4×C4⋊C4C2311yescharacteristic
887C4×C4⋊C4C2312yes—
888C4×C4⋊C4C2312yes—
889C4×C4⋊C4C2312yes—
890C4×C4⋊C4C2312yes—
891C4×C4⋊C4C2314yes—
892C4×C4⋊C4C2312yes—
893C4×C4⋊C4C2312yes—
894C4×C22⋊C4C2314yes—
895C4×C22⋊C4C2312yes—
896C4×C22⋊C4C2314yes—
897C4×C22⋊C4C2314yes—
898C4×C22⋊C4C2314yes—
899C4×C22⋊C4C2314yes—
900C4×C22⋊C4C2312yes—
901C4×C22⋊C4C2314yes—
902C4×C22⋊C4C2312yes—
903C4×C22⋊C4C2312yes—
904C4×C22⋊C4C2314yes—
905C4×C22⋊C4C2312yes—
906C4×C22⋊C4C2312yes—
907C4×C22⋊C4C2312yes—
908C4×C22⋊C4C2314yes—
909C4×C22⋊C4C2314yes—
910C4×C22⋊C4C2312yes—
911C4×C22⋊C4C2312yes—
912C4×C22⋊C4C2314yes—
913C4×C22⋊C4C2311yescharacteristic
914C4×C22⋊C4C2311yescharacteristic
915C4×C22⋊C4C2311yescharacteristic
916C4×C22⋊C4C2311yescharacteristic
917C4×C22⋊C4C2311yescharacteristic
918C4×C22⋊C4C2311yescharacteristic
919#376C2311yescharacteristic
920#376C2311yescharacteristic
921#376C2311yescharacteristic
922#376C2311yescharacteristic
923#376C2311yescharacteristic
924#376C2311yescharacteristic
925#376C2312yes—
926#376C2312yes—
927#376C2312yes—
928C2×#95C2312yes—
929C2×#95C2312yes—
930C2×#95C2314yes—
931C2×#95C2314yes—
932C43C2311yescharacteristic
933C43C2311yescharacteristic
934C43C2311yescharacteristic
935C43C2311yescharacteristic
936C2×#41—28no—
937C2×#41—24no—
938C2×#41—24no—
939C2×#41—24no—
940C2×#41—24no—
941C2×#41—24no—
942C2×#41—28no—
943C2×#41—24no—
944C2×#41—24no—
945C2×#41—24no—
946C2×#41—24no—
947C2×#41—24no—
948C2×#41—28no—
949C2×#41—42no—
950C2×#41—42no—
951C2×#41—42no—
952C2×#41—42no—
953C2×#41—42no—
954C2×#41—84no—
955C2×#41—84no—
956C2×#41—84no—
957C22×Q8—24no—
958C22×Q8—24no—
959C22×Q8—42no—
960C22×Q8C2411yescharacteristic
961C22×Q8C2412yes—
962C22×Q8C2411yescharacteristic
963C22×Q8C2411yescharacteristic
964C22×Q8C2412yes—
965C22×Q8C2412yes—
966C22×Q8C2411yescharacteristic
967C22×D4C2411yescharacteristic
968C22×D4C2411yescharacteristic
969C22×D4C2411yescharacteristic
970C22×D4C2411yescharacteristic
971C22×D4C2411yescharacteristic
972C22×D4C2412yes—
973C22×D4C2412yes—
974C22×D4C2412yes—
975C22×D4C2412yes—
976C22×D4C2412yes—
977C22×D4C2412yes—
978C22×D4C2412yes—
979C22×D4C2412yes—
980C22×D4C2412yes—
981C22×D4C2412yes—
982C22×D4C2412yes—
983C22×D4C2412yes—
984C22×D4C2412yes—
985C22×D4C2412yes—
986C22×D4C2412yes—
987C22×D4C2414yes—
988C22×D4C2414yes—
989C22×D4C2414yes—
990C22×D4C2414yes—
991C22×D4C2412yes—
992C22×D4C2412yes—
993C22×D4C2412yes—
994C22×D4C2412yes—
995C22×D4C2412yes—
996C22×D4C2412yes—
997C22×D4C2412yes—
998C22×D4C2412yes—
999C22×D4C2414yes—
1000C22×D4C2414yes—
1001C22×D4C2411yescharacteristic
1002C22×D4C2411yescharacteristic
1003C22×D4C2411yescharacteristic
1004C23×C4C2412yes—
1005C23×C4C2412yes—
1006C23×C4C2412yes—
1007C23×C4C2412yes—
1008C23×C4C2412yes—
1009C23×C4C2412yes—
1010C23×C4C2411yescharacteristic
1011C23×C4C2411yescharacteristic
1012C23×C4C2411yescharacteristic
1013C23×C4C2412yes—
1014C23×C4C2412yes—
1015C23×C4C2412yes—
1016C23×C4C2412yes—
1017C23×C4C2412yes—
1018C23×C4C2412yes—
1019C23×C4C2412yes—
1020C23×C4C2412yes—
1021C23×C4C2412yes—
1022C23×C4C2412yes—
1023C23×C4C2412yes—
1024C23×C4C2412yes—
1025C23×C4C2412yes—
1026C23×C4C2412yes—
1027C23×C4C2412yes—
1028C23×C4C2412yes—
1029C23×C4C2412yes—
1030C23×C4C2411yescharacteristic
1031C23×C4C2411yescharacteristic
1032C4⋊Q8—28no—
1033C4⋊Q8—28no—
1034C4⋊Q8—24no—
1035C4⋊Q8—24no—
1036C4⋊Q8—24no—
1037C4⋊Q8#4118yescomplemented
1038#127—28no—
1039#127—28no—
1040#127—28no—
1041#127—28no—
1042#127—24no—
1043#127—24no—
1044#127—24no—
1045#127—24no—
1046#127—24no—
1047#127—24no—
1048#127—42no—
1049#127—42no—
1050#127—42no—
1051#127—42no—
1052#127—48no—
1053#127—84no—
1054#126—28no—
1055#126—28no—
1056#126—28no—
1057#126—28no—
1058#126—28no—
1059#126—28no—
1060#126C2×D418yes—
1061#126C2×D418yes—
1062#125—28no—
1063#125—28no—
1064#125—28no—
1065#125—28no—
1066#125—28no—
1067#125—24no—
1068#125—24no—
1069#125—24no—
1070#125—24no—
1071#125C2×D418yes—
1072#124—28no—
1073#124—24no—
1074#124—24no—
1075#124—24no—
1076#124—24no—
1077#124—24no—
1078#124—28no—
1079#124—28no—
1080#124—28no—
1081#124—28no—
1082#124—28no—
1083#124—28no—
1084#124—24no—
1085#124—24no—
1086#124—24no—
1087#124—42no—
1088#124—42no—
1089#124—84no—
1090#124C2×D418yes—
1091#123—28no—
1092#123—28no—
1093#123—28no—
1094#123—28no—
1095#123—28no—
1096#123—28no—
1097#123—28no—
1098#123—28no—
1099#123—28no—
1100#123—28no—
1101#123—216no—
1102#123—28no—
1103#123—28no—
1104#123—28no—
1105#123—28no—
1106#123—28no—
1107#123—28no—
1108#123—48no—
1109#123—84no—
1110#123—84no—
1111#123C2×D418yes—
1112#123C2×D418yes—
1113C22⋊Q8—24no—
1114C22⋊Q8—24no—
1115C22⋊Q8—28no—
1116C22⋊Q8—28no—
1117C22⋊Q8—28no—
1118C22⋊Q8—28no—
1119C22⋊Q8—216no—
1120C22⋊Q8—84no—
1121C22⋊Q8C2×D418yes—
1122#121—28no—
1123#121—28no—
1124#121—28no—
1125#121—28no—
1126#121—28no—
1127#121—28no—
1128#121—24no—
1129#121—28no—
1130#121—24no—
1131#121—24no—
1132#121—24no—
1133#121—24no—
1134#121—24no—
1135#121—24no—
1136#121—24no—
1137#121—24no—
1138#121—24no—
1139#121—28no—
1140#121—28no—
1141#121—28no—
1142#121—216no—
1143#121—216no—
1144#121—28no—
1145#121—28no—
1146#121—28no—
1147#121—28no—
1148#121—28no—
1149#121—28no—
1150#121—28no—
1151#121—28no—
1152#121—28no—
1153#121—28no—
1154#121—28no—
1155#121—28no—
1156#121—28no—
1157#121—28no—
1158#121—48no—
1159#121—48no—
1160#121—48no—
1161#121—84no—
1162#121—84no—
1163#121—84no—
1164#121—84no—
1165#121—84no—
1166#121C2×D418yes—
1167C4×Q8—28no—
1168C4×Q8—28no—
1169C4×Q8—28no—
1170C4×Q8—28no—
1171C4×Q8—24no—
1172C4×Q8—24no—
1173C4×Q8—24no—
1174C4×Q8—24no—
1175C4×Q8—24no—
1176C4×Q8—24no—
1177C4×Q8—24no—
1178C4×Q8—24no—
1179C4×Q8—24no—
1180C4×Q8—24no—
1181C4×Q8C2×D418yes—
1182C4×D4—28no—
1183C4×D4—28no—
1184C4×D4—28no—
1185C4×D4—28no—
1186C4×D4—28no—
1187C4×D4—28no—
1188C4×D4—28no—
1189C4×D4—28no—
1190C4×D4—28no—
1191C4×D4—28no—
1192C4×D4—216no—
1193C4×D4—216no—
1194C4×D4—28no—
1195C4×D4—28no—
1196C4×D4—28no—
1197C4×D4—28no—
1198C4×D4—28no—
1199C4×D4—28no—
1200C4×D4—28no—
1201C4×D4—28no—
1202C4×D4—28no—
1203C4×D4—28no—
1204C4×D4—28no—
1205C4×D4—24no—
1206C4×D4—24no—
1207C4×D4—24no—
1208C4×D4—24no—
1209C4×D4—24no—
1210C4×D4—24no—
1211C4×D4—24no—
1212C4×D4—24no—
1213C4×D4—24no—
1214C4×D4—24no—
1215C4×D4—28no—
1216C4×D4—44no—
1217C4×D4—48no—
1218C4×D4—44no—
1219C4×D4—84no—
1220C4×D4—84no—
1221C4×D4C2×D418yes—
1222C4×D4C2×D418yes—
1223C4×D4C2×D418yes—
1224#117—24no—
1225#117—24no—
1226#117—24no—
1227#117—28no—
1228#117—28no—
1229#117—28no—
1230#117—28no—
1231#117—28no—
1232#117—28no—
1233#117—28no—
1234#117—28no—
1235#117—28no—
1236#117—28no—
1237#117—24no—
1238#117—42no—
1239#117—44no—
1240#117C2×D418yes—
1241#117C2×D418yes—
1242C2×C4⋊C4—24no—
1243C2×C4⋊C4—24no—
1244C2×C4⋊C4—24no—
1245C2×C4⋊C4—28no—
1246C2×C4⋊C4—28no—
1247C2×C4⋊C4—28no—
1248C2×C4⋊C4C2411yescharacteristic
1249C2×C4⋊C4C2412yes—
1250C2×C4⋊C4C2412yes—
1251C2×C4⋊C4C2412yes—
1252C2×C4⋊C4C2412yes—
1253C2×C4⋊C4C2411yescharacteristic
1254C2×C4⋊C4C2412yes—
1255C2×C4⋊C4C2411yescharacteristic
1256C2×C4⋊C4C2411yescharacteristic
1257C2×C4⋊C4C2412yes—
1258C2×C4⋊C4C2412yes—
1259C2×C4⋊C4C2411yescharacteristic
1260C2×C4⋊C4C2412yes—
1261C2×C4⋊C4C2412yes—
1262C2×C4⋊C4C2411yescharacteristic
1263C2×C4⋊C4C2412yes—
1264C2×C4⋊C4C2411yescharacteristic
1265C2×C4⋊C4C2412yes—
1266C2×C4⋊C4C2411yescharacteristic
1267C2×C4⋊C4C2412yes—
1268C2×C4⋊C4C2412yes—
1269C2×C4⋊C4C2412yes—
1270C2×C4⋊C4C2412yes—
1271C2×C4⋊C4C2412yes—
1272C2×C4⋊C4C2412yes—
1273C2×C4⋊C4C2412yes—
1274C2×C4⋊C4C2412yes—
1275C2×C4⋊C4C2412yes—
1276C2×C4⋊C4C2412yes—
1277C2×C4⋊C4C2412yes—
1278C2×C4⋊C4C2412yes—
1279C2×C4⋊C4C2412yes—
1280C2×C4⋊C4C2414yes—
1281C2×C4⋊C4C2412yes—
1282C2×C4⋊C4C2412yes—
1283C2×C4⋊C4C2412yes—
1284C2×C4⋊C4C2412yes—
1285C2×C4⋊C4C2414yes—
1286C2×C4⋊C4C2412yes—
1287C2×C4⋊C4C2412yes—
1288C2×C4⋊C4C2414yes—
1289C2×C4⋊C4C2414yes—
1290C2×C4⋊C4C2412yes—
1291C2×C4⋊C4C2414yes—
1292C2×C4⋊C4C2412yes—
1293C2×C4⋊C4C2414yes—
1294C2×C4⋊C4C2412yes—
1295C2×C4⋊C4C2414yes—
1296C2×C4⋊C4C2414yes—
1297C2×C4⋊C4C2414yes—
1298C2×C4⋊C4C2411yescharacteristic
1299C2×C4⋊C4C2411yescharacteristic
1300C2×C4⋊C4C2411yescharacteristic
1301C2×C4⋊C4C2411yescharacteristic
1302C2×C4⋊C4C2411yescharacteristic
1303C2×C4⋊C4C2411yescharacteristic
1304C2×C4⋊C4C2411yescharacteristic
1305C2×C4⋊C4C2411yescharacteristic
1306C2×C4⋊C4C2411yescharacteristic
1307C2×C4⋊C4C2411yescharacteristic
1308C2×C4⋊C4C2414yes—
1309C2×C22⋊C4C2412yes—
1310C2×C22⋊C4C2412yes—
1311C2×C22⋊C4C2412yes—
1312C2×C22⋊C4C2412yes—
1313C2×C22⋊C4C2412yes—
1314C2×C22⋊C4C2412yes—
1315C2×C22⋊C4C2412yes—
1316C2×C22⋊C4C2412yes—
1317C2×C22⋊C4C2412yes—
1318C2×C22⋊C4C2412yes—
1319C2×C22⋊C4C2412yes—
1320C2×C22⋊C4C2412yes—
1321C2×C22⋊C4C2412yes—
1322C2×C22⋊C4C2412yes—
1323C2×C22⋊C4C2412yes—
1324C2×C22⋊C4C2412yes—
1325C2×C22⋊C4C2412yes—
1326C2×C22⋊C4C2412yes—
1327C2×C22⋊C4C2412yes—
1328C2×C22⋊C4C2412yes—
1329C2×C22⋊C4C2412yes—
1330C2×C22⋊C4C2412yes—
1331C2×C22⋊C4C2412yes—
1332C2×C22⋊C4C2412yes—
1333C2×C22⋊C4C2412yes—
1334C2×C22⋊C4C2412yes—
1335C2×C22⋊C4C2412yes—
1336C2×C22⋊C4C2412yes—
1337C2×C22⋊C4C2412yes—
1338C2×C22⋊C4C2412yes—
1339C2×C22⋊C4C2414yes—
1340C2×C22⋊C4C2414yes—
1341C2×C22⋊C4C2414yes—
1342C2×C22⋊C4C2414yes—
1343C2×C22⋊C4C2412yes—
1344C2×C22⋊C4C2412yes—
1345C2×C22⋊C4C2414yes—
1346C2×C22⋊C4C2414yes—
1347C2×C22⋊C4C2414yes—
1348C2×C22⋊C4C2412yes—
1349C2×C22⋊C4C2412yes—
1350C2×C22⋊C4C2414yes—
1351C2×C22⋊C4C2414yes—
1352C2×C22⋊C4C2414yes—
1353C2×C22⋊C4C2414yes—
1354C2×C22⋊C4C2412yes—
1355C2×C22⋊C4C2414yes—
1356C2×C22⋊C4C2414yes—
1357C2×C22⋊C4C2414yes—
1358C2×C22⋊C4C2414yes—
1359C2×C22⋊C4C2414yes—
1360C2×C22⋊C4C2414yes—
1361C2×C22⋊C4C2414yes—
1362C2×C22⋊C4C2414yes—
1363C2×C22⋊C4C2414yes—
1364C2×C22⋊C4C2414yes—
1365C2×C22⋊C4C2414yes—
1366C2×C22⋊C4C2414yes—
1367C2×C22⋊C4C2414yes—
1368C2×C22⋊C4C2414yes—
1369C2×C22⋊C4C2412yes—
1370C2×C22⋊C4C2412yes—
1371C2×C22⋊C4C2414yes—
1372C2×C22⋊C4C2414yes—
1373C2×C22⋊C4C2414yes—
1374C2×C22⋊C4C2411yescharacteristic
1375C2×C22⋊C4C2411yescharacteristic
1376C2×C22⋊C4C2411yescharacteristic
1377C2×C22⋊C4C2411yescharacteristic
1378C2×C22⋊C4C2411yescharacteristic
1379C2×C22⋊C4C2411yescharacteristic
1380C2×C22⋊C4C2411yescharacteristic
1381C2×C22⋊C4C2411yescharacteristic
1382C2×C22⋊C4C2411yescharacteristic
1383C2×C22⋊C4C2411yescharacteristic
1384C2×C42—28no—
1385C2×C42—28no—
1386C2×C42—24no—
1387C2×C42—24no—
1388C2×C42—42no—
1389C2×C42—42no—
1390C2×C42C2×D418yes—
1391C2×C42C2412yes—
1392C2×C42C2412yes—
1393C2×C42C2412yes—
1394C2×C42C2412yes—
1395C2×C42C2412yes—
1396C2×C42C2412yes—
1397C2×C42C2412yes—
1398C2×C42C2412yes—
1399C2×C42C2412yes—
1400C2×C42C2412yes—
1401C2×C42C2412yes—
1402C2×C42C2412yes—
1403C2×C42C2411yescharacteristic
1404C2×C42C2411yescharacteristic
1405C2×C42C2411yescharacteristic
1406C2×C42C2412yes—
1407C2×C42C2412yes—
1408C2×C42C2412yes—
1409C2×C42C2412yes—
1410C2×C42C2412yes—
1411C2×C42C2411yescharacteristic
1412C2×C42C2411yescharacteristic
1413C2×C42C2411yescharacteristic
1414C2×C42C2411yescharacteristic
1415C2×C42C2412yes—
1416C2×C42C2412yes—
1417C2×C42C2412yes—
1418C2×C42C2412yes—
1419C2×C42C2412yes—
1420C2×C42C2412yes—
1421C2×C42C2412yes—
1422C2×C42C2412yes—
1423C2×C42C2411yescharacteristic
1424C2×C42C2411yescharacteristic
1425C2×C42C2411yescharacteristic
1426C2×C42C2411yescharacteristic
1427C2×C42C2411yescharacteristic
1428C2×C42C2411yescharacteristic
1429C2×C42C2411yescharacteristic
1430#95C2412yes—
1431#95C2412yes—
1432#95C2412yes—
1433#95C2412yes—
1434#95C2412yes—
1435#95C2412yes—
1436#95C2412yes—
1437#95C2412yes—
1438#95C2414yes—
1439#95C2414yes—
1440#95C2414yes—
1441#95C2414yes—
1442#95C2414yes—
1443#95C2414yes—
1444#95C2414yes—
1445#95C2414yes—
1446#95C2412yes—
1447#95C2412yes—
1448#95C2412yes—
1449#95C2412yes—
1450#95C2412yes—
1451#95C2412yes—
1452#95C2412yes—
1453#95C2412yes—
1454#95C2414yes—
1455#95C2412yes—
1456#95C2412yes—
1457#95C2412yes—
1458#95C2412yes—
1459#95C2414yes—
1460#95C2414yes—
1461#95C2414yes—
1462#95C2414yes—
1463#95C2414yes—
1464#95C2412yes—
1465#95C2414yes—
1466#95C2414yes—
1467#95C2412yes—
1468#95C2414yes—
1469#95C2414yes—
1470#95C2412yes—
1471#95C2412yes—
1472#95C2414yes—
1473#95C2414yes—
1474C24C2512yes—
1475C24C2512yes—
1476C24C2512yes—
1477C24C2512yes—
1478C24C2512yes—
1479C24C2511yescharacteristic
1480C24C2511yescharacteristic
1481C24C2511yescharacteristic
1482#41—416no—
1483#41—416no—
1484#41—416no—
1485#41—416no—
1486#41—416no—
1487#41—816no—
1488#41—816no—
1489#41—816no—
1490C2×Q8—22no—
1491C2×Q8—22no—
1492C2×Q8—24no—
1493C2×Q8—22no—
1494C2×Q8—24no—
1495C2×Q8—24no—
1496C2×Q8—24no—
1497C2×Q8—22no—
1498C2×Q8—22no—
1499C2×Q8—22no—
1500C2×Q8—22no—
1501C2×Q8—42no—
1502C2×Q8—42no—
1503C2×Q8—44no—
1504C2×Q8—44no—
1505C2×Q8—416no—
1506C2×Q8C22×D414yes—
1507C2×Q8C2×#4114yes—
1508C2×Q8C2×#4114yes—
1509C2×D4—24no—
1510C2×D4—24no—
1511C2×D4—24no—
1512C2×D4—24no—
1513C2×D4—24no—
1514C2×D4—24no—
1515C2×D4—24no—
1516C2×D4—24no—
1517C2×D4—24no—
1518C2×D4—24no—
1519C2×D4—24no—
1520C2×D4—24no—
1521C2×D4—24no—
1522C2×D4—24no—
1523C2×D4—24no—
1524C2×D4—22no—
1525C2×D4—22no—
1526C2×D4—22no—
1527C2×D4—22no—
1528C2×D4—22no—
1529C2×D4—24no—
1530C2×D4—24no—
1531C2×D4—24no—
1532C2×D4—24no—
1533C2×D4—24no—
1534C2×D4—24no—
1535C2×D4—24no—
1536C2×D4—24no—
1537C2×D4—24no—
1538C2×D4—24no—
1539C2×D4—24no—
1540C2×D4—24no—
1541C2×D4—24no—
1542C2×D4—22no—
1543C2×D4—22no—
1544C2×D4—22no—
1545C2×D4—22no—
1546C2×D4—22no—
1547C2×D4—28no—
1548C2×D4—28no—
1549C2×D4—22no—
1550C2×D4—22no—
1551C2×D4—22no—
1552C2×D4—22no—
1553C2×D4—22no—
1554C2×D4—28no—
1555C2×D4—28no—
1556C2×D4—42no—
1557C2×D4—42no—
1558C2×D4—42no—
1559C2×D4—42no—
1560C2×D4—42no—
1561C2×D4—42no—
1562C2×D4—42no—
1563C2×D4—42no—
1564C2×D4—44no—
1565C2×D4—44no—
1566C2×D4—44no—
1567C2×D4—44no—
1568C2×D4—44no—
1569C2×D4—44no—
1570C2×D4—44no—
1571C2×D4—44no—
1572C2×D4—44no—
1573C2×D4—44no—
1574C2×D4—44no—
1575C2×D4—44no—
1576C2×D4—44no—
1577C2×D4—44no—
1578C2×D4—44no—
1579C2×D4—44no—
1580C2×D4—44no—
1581C2×D4—44no—
1582C2×D4—44no—
1583C2×D4—44no—
1584C2×D4—44no—
1585C2×D4—44no—
1586C2×D4—44no—
1587C2×D4—44no—
1588C2×D4—44no—
1589C2×D4—44no—
1590C2×D4—44no—
1591C2×D4—44no—
1592C2×D4—44no—
1593C2×D4—44no—
1594C2×D4—44no—
1595C2×D4—44no—
1596C2×D4C22×D414yes—
1597C2×D4C22×D414yes—
1598C2×D4C22×D414yes—
1599C22×C4—22no—
1600C22×C4—22no—
1601C22×C4—22no—
1602C22×C4—22no—
1603C22×C4—22no—
1604C22×C4—22no—
1605C22×C4—24no—
1606C22×C4—24no—
1607C22×C4—24no—
1608C22×C4—24no—
1609C22×C4—24no—
1610C22×C4—24no—
1611C22×C4—24no—
1612C22×C4—24no—
1613C22×C4—24no—
1614C22×C4—24no—
1615C22×C4—24no—
1616C22×C4—24no—
1617C22×C4—24no—
1618C22×C4—24no—
1619C22×C4—24no—
1620C22×C4—24no—
1621C22×C4—24no—
1622C22×C4—24no—
1623C22×C4—24no—
1624C22×C4—24no—
1625C22×C4—24no—
1626C22×C4—24no—
1627C22×C4—24no—
1628C22×C4—24no—
1629C22×C4—24no—
1630C22×C4—24no—
1631C22×C4—24no—
1632C22×C4—24no—
1633C22×C4—42no—
1634C22×C4—42no—
1635C22×C4—42no—
1636C22×C4—42no—
1637C22×C4—42no—
1638C22×C4—42no—
1639C22×C4—42no—
1640C22×C4—42no—
1641C22×C4—44no—
1642C22×C4—42no—
1643C22×C4—42no—
1644C22×C4—44no—
1645C22×C4—44no—
1646C22×C4—42no—
1647C22×C4—42no—
1648C22×C4—42no—
1649C22×C4—44no—
1650C22×C4—44no—
1651C22×C4—44no—
1652C22×C4—44no—
1653C22×C4—44no—
1654C22×C4—42no—
1655C22×C4—42no—
1656C22×C4—42no—
1657C22×C4—42no—
1658C22×C4—44no—
1659C22×C4—44no—
1660C22×C4—44no—
1661C22×C4—44no—
1662C22×C4—44no—
1663C22×C4C22×D414yes—
1664C22×C4C22×D414yes—
1665C22×C4C22×D414yes—
1666C22×C4C22×D414yes—
1667C22×C4C22×D414yes—
1668C22×C4C2512yes—
1669C22×C4C2512yes—
1670C22×C4C2512yes—
1671C22×C4C2512yes—
1672C22×C4C2512yes—
1673C22×C4C2512yes—
1674C22×C4C2512yes—
1675C22×C4C2512yes—
1676C22×C4C2512yes—
1677C22×C4C2512yes—
1678C22×C4C2512yes—
1679C22×C4C2512yes—
1680C22×C4C2512yes—
1681C22×C4C2512yes—
1682C22×C4C2512yes—
1683C22×C4C2511yescharacteristic
1684C22×C4C2511yescharacteristic
1685C22×C4C2511yescharacteristic
1686C22×C4C2511yescharacteristic
1687C22×C4C2511yescharacteristic
1688C22×C4C2511yescharacteristic
1689C22×C4C2511yescharacteristic
1690C22×C4C2511yescharacteristic
1691C22×C4C2511yescharacteristic
1692C22×C4C2511yescharacteristic
1693C22×C4C2511yescharacteristic
1694C22×C4C2512yes—
1695C22×C4C2512yes—
1696C22×C4C2512yes—
1697C22×C4C2512yes—
1698C22×C4C2511yescharacteristic
1699C4⋊C4—24no—
1700C4⋊C4—22no—
1701C4⋊C4—24no—
1702C4⋊C4—24no—
1703C4⋊C4—24no—
1704C4⋊C4—24no—
1705C4⋊C4—22no—
1706C4⋊C4—24no—
1707C4⋊C4—24no—
1708C4⋊C4—22no—
1709C4⋊C4—22no—
1710C4⋊C4—24no—
1711C4⋊C4—22no—
1712C4⋊C4—24no—
1713C4⋊C4—24no—
1714C4⋊C4—22no—
1715C4⋊C4—24no—
1716C4⋊C4—22no—
1717C4⋊C4—24no—
1718C4⋊C4—22no—
1719C4⋊C4—24no—
1720C4⋊C4—24no—
1721C4⋊C4—24no—
1722C4⋊C4—24no—
1723C4⋊C4—24no—
1724C4⋊C4—24no—
1725C4⋊C4—24no—
1726C4⋊C4—24no—
1727C4⋊C4—24no—
1728C4⋊C4—24no—
1729C4⋊C4—24no—
1730C4⋊C4—24no—
1731C4⋊C4—24no—
1732C4⋊C4—24no—
1733C4⋊C4—28no—
1734C4⋊C4—24no—
1735C4⋊C4—24no—
1736C4⋊C4—28no—
1737C4⋊C4—42no—
1738C4⋊C4—42no—
1739C4⋊C4—42no—
1740C4⋊C4—44no—
1741C4⋊C4—44no—
1742C4⋊C4—44no—
1743C4⋊C4—42no—
1744C4⋊C4—44no—
1745C4⋊C4—42no—
1746C4⋊C4—44no—
1747C4⋊C4—44no—
1748C4⋊C4—44no—
1749C4⋊C4C22×D414yes—
1750C4⋊C4C22×D414yes—
1751C4⋊C4C22×D414yes—
1752C4⋊C4C22×D414yes—
1753C4⋊C4C22×D414yes—
1754C4⋊C4C22×D414yes—
1755C4⋊C4C22×D414yes—
1756C4⋊C4C22×D414yes—
1757C4⋊C4C22×D414yes—
1758C4⋊C4C22×D414yes—
1759C4⋊C4C2×#41116yes—
1760C22⋊C4—24no—
1761C22⋊C4—24no—
1762C22⋊C4—24no—
1763C22⋊C4—24no—
1764C22⋊C4—24no—
1765C22⋊C4—24no—
1766C22⋊C4—24no—
1767C22⋊C4—24no—
1768C22⋊C4—24no—
1769C22⋊C4—24no—
1770C22⋊C4—24no—
1771C22⋊C4—24no—
1772C22⋊C4—24no—
1773C22⋊C4—24no—
1774C22⋊C4—24no—
1775C22⋊C4—24no—
1776C22⋊C4—24no—
1777C22⋊C4—24no—
1778C22⋊C4—24no—
1779C22⋊C4—24no—
1780C22⋊C4—24no—
1781C22⋊C4—24no—
1782C22⋊C4—24no—
1783C22⋊C4—24no—
1784C22⋊C4—24no—
1785C22⋊C4—24no—
1786C22⋊C4—24no—
1787C22⋊C4—24no—
1788C22⋊C4—24no—
1789C22⋊C4—24no—
1790C22⋊C4—28no—
1791C22⋊C4—28no—
1792C22⋊C4—28no—
1793C22⋊C4—28no—
1794C22⋊C4—28no—
1795C22⋊C4—28no—
1796C22⋊C4—24no—
1797C22⋊C4—24no—
1798C22⋊C4—28no—
1799C22⋊C4—42no—
1800C22⋊C4—42no—
1801C22⋊C4—44no—
1802C22⋊C4—44no—
1803C22⋊C4—42no—
1804C22⋊C4—44no—
1805C22⋊C4—44no—
1806C22⋊C4—44no—
1807C22⋊C4—44no—
1808C22⋊C4—44no—
1809C22⋊C4—44no—
1810C22⋊C4—44no—
1811C22⋊C4—44no—
1812C22⋊C4—44no—
1813C22⋊C4—44no—
1814C22⋊C4—44no—
1815C22⋊C4—44no—
1816C22⋊C4—44no—
1817C22⋊C4—44no—
1818C22⋊C4—44no—
1819C22⋊C4—44no—
1820C22⋊C4—44no—
1821C22⋊C4—42no—
1822C22⋊C4—42no—
1823C22⋊C4—44no—
1824C22⋊C4—44no—
1825C22⋊C4C22×D414yes—
1826C22⋊C4C22×D414yes—
1827C22⋊C4C22×D414yes—
1828C22⋊C4C22×D414yes—
1829C22⋊C4C22×D414yes—
1830C22⋊C4C22×D414yes—
1831C22⋊C4C22×D414yes—
1832C22⋊C4C22×D414yes—
1833C22⋊C4C22×D414yes—
1834C22⋊C4C22×D414yes—
1835C42—24no—
1836C42—24no—
1837C42—24no—
1838C42—24no—
1839C42—24no—
1840C42—24no—
1841C42—24no—
1842C42—24no—
1843C42—24no—
1844C42—24no—
1845C42—24no—
1846C42—24no—
1847C42—24no—
1848C42—24no—
1849C42—24no—
1850C42—22no—
1851C42—22no—
1852C42—22no—
1853C42—22no—
1854C42—22no—
1855C42—22no—
1856C42—24no—
1857C42—22no—
1858C42—24no—
1859C42—42no—
1860C42—42no—
1861C42—42no—
1862C42—42no—
1863C42—42no—
1864C42—42no—
1865C42—42no—
1866C42—42no—
1867C42C22×D414yes—
1868C42C22×D414yes—
1869C42C22×D414yes—
1870C42C22×D414yes—
1871C42C22×D414yes—
1872C42C22×D414yes—
1873C42C2×#4114yes—
1874C23—21no—
1875C23—21no—
1876C23—21no—
1877C23—22no—
1878C23—22no—
1879C23—21no—
1880C23—22no—
1881C23—21no—
1882C23—21no—
1883C23—22no—
1884C23—22no—
1885C23—22no—
1886C23—22no—
1887C23—22no—
1888C23—22no—
1889C23—22no—
1890C23—22no—
1891C23—22no—
1892C23—22no—
1893C23—22no—
1894C23—22no—
1895C23—22no—
1896C23—24no—
1897C23—24no—
1898C23—22no—
1899C23—22no—
1900C23—24no—
1901C23—24no—
1902C23—24no—
1903C23—22no—
1904C23—22no—
1905C23—22no—
1906C23—24no—
1907C23—24no—
1908C23—24no—
1909C23—24no—
1910C23—24no—
1911C23C23×D412yes—
1912C23C23×D412yes—
1913C23C23×D412yes—
1914C23C2611yescharacteristic
1915Q8—28no—
1916Q8—28no—
1917Q8—44no—
1918Q8—48no—
1919Q8—48no—
1920Q8—44no—
1921Q8—84no—
1922D4—44no—
1923D4—44no—
1924D4—44no—
1925D4—48no—
1926D4—48no—
1927D4—48no—
1928D4—48no—
1929D4—48no—
1930D4—48no—
1931D4—44no—
1932D4—44no—
1933D4—44no—
1934D4—44no—
1935D4—44no—
1936D4—88no—
1937D4—88no—
1938D4—84no—
1939D4—84no—
1940D4—84no—
1941D4—84no—
1942D4—84no—
1943D4—88no—
1944D4—88no—
1945D4—84no—
1946D4—84no—
1947D4—84no—
1948D4—84no—
1949D4—84no—
1950D4—84no—
1951D4—84no—
1952D4—84no—
1953D4—84no—
1954D4—84no—
1955D4—84no—
1956D4—84no—
1957D4—88no—
1958D4—164no—
1959C2×C4—22no—
1960C2×C4—22no—
1961C2×C4—21no—
1962C2×C4—21no—
1963C2×C4—21no—
1964C2×C4—22no—
1965C2×C4—22no—
1966C2×C4—22no—
1967C2×C4—22no—
1968C2×C4—21no—
1969C2×C4—21no—
1970C2×C4—22no—
1971C2×C4—22no—
1972C2×C4—21no—
1973C2×C4—22no—
1974C2×C4—22no—
1975C2×C4—22no—
1976C2×C4—22no—
1977C2×C4—22no—
1978C2×C4—22no—
1979C2×C4—22no—
1980C2×C4—22no—
1981C2×C4—28no—
1982C2×C4—28no—
1983C2×C4—28no—
1984C2×C4—22no—
1985C2×C4—22no—
1986C2×C4—22no—
1987C2×C4—22no—
1988C2×C4—22no—
1989C2×C4—22no—
1990C2×C4—22no—
1991C2×C4—22no—
1992C2×C4—22no—
1993C2×C4—22no—
1994C2×C4—22no—
1995C2×C4—22no—
1996C2×C4—22no—
1997C2×C4—22no—
1998C2×C4—22no—
1999C2×C4—22no—
2000C2×C4—22no—
2001C2×C4—22no—
2002C2×C4—22no—
2003C2×C4—22no—
2004C2×C4—22no—
2005C2×C4—24no—
2006C2×C4—22no—
2007C2×C4—24no—
2008C2×C4—22no—
2009C2×C4—24no—
2010C2×C4—22no—
2011C2×C4—22no—
2012C2×C4—22no—
2013C2×C4—22no—
2014C2×C4—22no—
2015C2×C4—22no—
2016C2×C4—24no—
2017C2×C4—24no—
2018C2×C4—24no—
2019C2×C4—24no—
2020C2×C4—24no—
2021C2×C4—44no—
2022C2×C4—44no—
2023C2×C4—48no—
2024C2×C4—48no—
2025C2×C4—48no—
2026C2×C4—48no—
2027C2×C4—48no—
2028C2×C4—48no—
2029C2×C4—48no—
2030C2×C4—84no—
2031C2×C4—84no—
2032C2×C4—84no—
2033C2×C4—84no—
2034C2×C4—84no—
2035C2×C4—84no—
2036C2×C4—84no—
2037C2×C4—84no—
2038C2×C4—84no—
2039C2×C4—84no—
2040C2×C4—84no—
2041C2×C4—84no—
2042C2×C4—84no—
2043C2×C4—84no—
2044C2×C4—84no—
2045C2×C4—84no—
2046C2×C4C23×D412yes—
2047C2×C4C23×D412yes—
2048C2×C4C23×D412yes—
2049C2×C4C23×D412yes—
2050C2×C4C23×D412yes—
2051C2×C4C23×D412yes—
2052C2×C4C23×D412yes—
2053C2×C4C23×D412yes—
2054C2×C4C23×D412yes—
2055C2×C4C23×D412yes—
2056C2×C4C23×D412yes—
2057C2×C4C23×D412yes—
2058C2×C4C22×#4114yes—
2059C2×C4C22×#4114yes—
2060C2×C4C22×#4114yes—
2061C2×C4C22×#4112yes—
2062C2×C4#58514yes—
2063C2×C4#58512yes—
2064C22—22no—
2065C22—22no—
2066C22—22no—
2067C22—22no—
2068C22—22no—
2069C22—22no—
2070C22—22no—
2071C22—22no—
2072C22—22no—
2073C22—42no—
2074C22—42no—
2075C22—42no—
2076C22—42no—
2077C22—42no—
2078C22—42no—
2079C22—44no—
2080C22—44no—
2081C22—44no—
2082C22—44no—
2083C22—44no—
2084C22—42no—
2085C22—42no—
2086C22—42no—
2087C22—42no—
2088C22—42no—
2089C22—42no—
2090C22—42no—
2091C22—42no—
2092C22—42no—
2093C22—42no—
2094C22—44no—
2095C22—44no—
2096C22—44no—
2097C22—44no—
2098C22—44no—
2099C22—42no—
2100C22—42no—
2101C22—42no—
2102C22—42no—
2103C22—42no—
2104C22C24×D411yescharacteristic
2105C22C23×#4111yescharacteristic
2106C22C2×#58512yes—
2107C22C2×#58511yescharacteristic
2108C22H(7,𝔽2)12yes—
2109C4—24no—
2110C4—22no—
2111C4—22no—
2112C4—22no—
2113C4—22no—
2114C4—22no—
2115C4—22no—
2116C4—22no—
2117C4—22no—
2118C4—24no—
2119C4—22no—
2120C4—22no—
2121C4—22no—
2122C4—24no—
2123C4—24no—
2124C4—42no—
2125C4—42no—
2126C4—42no—
2127C4—42no—
2128C4—42no—
2129C4—42no—
2130C4—42no—
2131C4—42no—
2132C4—42no—
2133C4—42no—
2134C4—42no—
2135C4—42no—
2136C4—42no—
2137C4—42no—
2138C4—42no—
2139C4D4×#4114yes—
2140C2—42no—
2141C2—42no—
2142C2—42no—
2143C2—82no—
2144C2—82no—
2145C2—82no—
2146C2—82no—
2147C2—82no—
2148C2C2×D4×#4111yescharacteristic
2149C2#6281211yescharacteristic
2150C2#6285211yescharacteristic
2151C2#6294112yes—
2152C2#6300612yes—
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×#3524C2semidirect
2. C2×#3517C2semidirect
3. #59185C2semidirect
4. #59182C2semidirect
5. #59163C2semidirect
6. #59159C2semidirect
7. #43920C2semidirect
8. #43915C2semidirect
9. #43902C2semidirect
10. #43900C2semidirect
11. #39745C2semidirect
12. #39612C2semidirect
13. #39174C2semidirect
14. #39164C2semidirect
15. #38093C2semidirect
16. #38089C2semidirect
17. #38089C2semidirect
18. #38079C2semidirect
19. #37869C2semidirect
20. #37864C2semidirect
21. #37683C2semidirect
22. #37683C2semidirect
23. #36412C2semidirect
24. #36396C2semidirect
25. #36184C2semidirect
26. #36128C2semidirect
27. #35678C2semidirect
28. #35535C2semidirect
29. #35534C2semidirect
30. #35534C2semidirect
31. #35303C2semidirect
32. #35278C2semidirect
33. #35276C2semidirect
34. #34977C2semidirect
35. #34910C2semidirect
36. #34276C2semidirect
37. #34208C2semidirect
38. #34149C2semidirect
39. #34070C2semidirect
405. #529D4semidirect
1037. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C2×#35242
C2×#35172
#591852
#591822
#591632
#591592
#439202
#439152
#439022
#439002
#397452
#396122
#391742
#391642
#380932
#380892
#380792
#378692
#378642
#376832
#364122
#363962
#361842
#361282
#356782
#355352
#355342
#353032
#352782
#352762
#349772
#349102
#342762
#342082
#341492
#340702